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- b, -2*o + 14 = 4*b. Let v(m) = m**2 + 7*m + 4. Let w be v(-6). Put a, 0, w, o in increasing order. w, 0, o, a Suppose 0 = 2*p - 3*n - 19, 2*n + 4 = -p - 2*p. Suppose 2 = 3*c - 4*m - 1, 9 = p*c - 5*m. Let q be (140/(-6))/7*c. Sort 1, -1, q, 5 in decreasing order. q, 5, 1, -1 Suppose 0 = 5*j + 5*c + 40, 0 = j - 0*j - 5*c - 4. Suppose 0 = i - 3, -5*q - 2*i = i + 41. Let k be 1/((q + 5)/5). Put 3, 0, k, j in ascending order. j, k, 0, 3 Let g = 592 - 592.506. Let a = g - -0.206. Suppose -2*q + 1 = -j, 4*q - 3*q - 5 = -j. Sort a, 1.1, j in decreasing order. j, 1.1, a Let l = -118 - -115. Suppose 0 + 0 = -2*a. Suppose -3*r + 2*x + 32 = 0, -r + 3*r + 3*x - 43 = a. Sort 5, l, 0, r. l, 0, 5, r Let r be ((-200)/(-48))/((-2)/(-12)). Suppose -r*b + 28*b + 6 = 0. Put -16, b, 3 in increasing order. -16, b, 3 Let h = -0.01 - -0.17. Let v = -0.17996 - -0.03996. Let x = v + h. Sort 1, -3, 2/11, x. -3, x, 2/11, 1 Let l = 29.7 + -37.7. Let a = l + 8.3. Put -0.1, a, -5, 3/5 in decreasing order. 3/5, a, -0.1, -5 Suppose 0 = -q + 25 + 81. Let h be (-42)/63 + 3172/(-30). Let m = q + h. Put m, 2, -0.5 in descending order. 2, m, -0.5 Let a = -22.33 + 19.33. Sort 1, 1/2, -82, a in increasing order. -82, a, 1/2, 1 Let m = 8 - 11. Suppose 3*x = -25*c - 69, -3*c - 10 + 9 = 4*x. Suppose -18 = -3*u + 2*p + 23, p = -4. Sort m, -5, u, x in decreasing order. u, x, m, -5 Let j be (1121/(-4845))/(2/5). Let s = j + -3/34. Suppose 2*c - 6*c + 32 = 0. Sort c, -2/5, s in increasing order. s, -2/5, c Let q = -0.27043 + 2.27043. Sort q, 1/6, 42. 1/6, q, 42 Suppose -4*c - 72 = 2*c. Let j(q) = q**2 + 14*q + 3. Let t be j(-14). Let f(m) = m**3 - 21*m**2 - 46*m - 3. Let a be f(23). Put t, a, 0, c in descending order. t, 0, a, c Let k be -1*2*(987/42 - 23). Suppose 5*a = -0*a. Put a, -2, 1, k in decreasing order. 1, a, k, -2 Suppose 6*j + 2 = 14. Suppose -3*d = -j*a - a - 12, -2*d + 4 = 0. Let k be ((-5)/(-20))/(22/(-16)). Sort 2/17, a, k in decreasing order. 2/17, k, a Let w = -0.447 - -0.147. Let m(n) = n**3 + 14*n**2 + n - 14. Let y be m(-14). Let j = 30 + y. Sort j, w, -2/11, -7 in descending order. j, -2/11, w, -7 Suppose 5*y = -2*d + 28 + 66, -4*d + 3*y = -136. Sort -3, 5/6, d in decreasing order. d, 5/6, -3 Let t = 111 + -107. Suppose -5*l - 2*v = -2, -t*l + 3 = -4*v + 7. Sort l, -1, 5, 17 in increasing order. -1, l, 5, 17 Let w(x) = -11*x - 30. Let y be w(-3). Suppose -v - 8 = -y*d, 4*d - 8 - 20 = -3*v. Suppose -p = -3*p + 6. Sort p, v, 2. 2, p, v Let i = 0.8533 - 0.8833. Put -1, i, 0.4 in decreasing order. 0.4, i, -1 Let r = -0.494 + 0.64. Let q = r + -0.246. Sort q, 4/3, -2. -2, q, 4/3 Let h be (-519)/(-4) + (-5)/(-20). Let b be (h/52)/(1/2). Let t = 1.87 - -0.13. Sort 1, b, -5, t. -5, 1, t, b Let t(s) be the third derivative of -s**5/60 + 3*s**4/4 - 77*s**3/6 - 51*s**2. Let c be t(12). Let k be (0 + 1 + 1)/(-1). Sort k, 1, c in decreasing order. 1, k, c Let p be 29/(-116) - (-150)/(-40). Put p, 1, -186, 3 in decreasing order. 3, 1, p, -186 Suppose -3*l = 5*i + 742, 4*l + 3*i + 1239 = 257. Let z = l + 140. Let p = z - -105. Put p, 4, 8 in increasing order. p, 4, 8 Suppose 12 + 18 = -20*x - 30. Let i be ((-75)/(-9))/(-5)*3. Let z = i - -6. Put -4, z, -2, x in decreasing order. z, -2, x, -4 Let y = -128 + 122. Let c = 1.126 - 0.326. Sort y, -0.1, c, -0.4 in descending order. c, -0.1, -0.4, y Let y(c) = -c**3 - 20*c**2 - 24. Let r be y(-18). Let o = r - -477. Put -0.5, -1, o in ascending order. o, -1, -0.5 Let q = 388030 + -388037. Let h be ((-1)/6)/((-9)/(-12)). Sort q, -1/10, -1, h in decreasing order. -1/10, h, -1, q Let j = -5175 - -5177. Sort 31, 0.2, 2/23, j. 2/23, 0.2, j, 31 Let i(d) = d - 25. Let n be ((-12)/8)/((-3)/42). Let u be i(n). Suppose -p = 5*v + 11, 3*p - 17 = 2*v + 1. Put u, v, 5, 2 in decreasing order. 5, 2, v, u Let y be -3*2*1/2. Let x = 93 + -12. Let f = x + -81.5. Put 2/15, y, f in descending order. 2/15, f, y Let c = 709/2916 + 5/729. Put 3, -1, -9.1, -4/7, c in ascending order. -9.1, -1, -4/7, c, 3 Let p be (-68)/(-17)*(-1)/2 + 8. Suppose 4*n + p = n. Sort n, -4, 5 in decreasing order. 5, n, -4 Suppose 9 = -z - 3*q, 367 = 5*z - 3*q + 376. Sort -102, z, -2, 1 in descending order. 1, -2, z, -102 Let g(m) = 2*m**3 - 71*m**2 - 12*m + 1649. Let a be g(35). Suppose 2*f = 5*f + 12, 0 = -2*d - 2*f - 16. Put d, -1, 7, a in decreasing order. 7, a, -1, d Let z be (5 + (-75)/10)/(3/(-12)). Suppose z*o = 16 + 14. Sort 0.4, o, 7 in decreasing order. 7, o, 0.4 Let x = -165 + 163. Let h be x - (3 - 1) - (-90)/10. Put h, 37, 2 in ascending order. 2, h, 37 Let q(r) = 4*r - 38. Let d be q(8). Let v be d/15 - 128/(-220). Sort 4, -4, 0.8, v in descending order. 4, 0.8, v, -4 Let s = -53 - 0. Let m = -65 - s. Sort 0, m, 2 in decreasing order. 2, 0, m Let y = 25502 - 25488. Sort -2, -0.4, y, -3, 3. -3, -2, -0.4, 3, y Let b = 5342.005 - 5342. Put 3, -3/7, -2, b in ascending order. -2, -3/7, b, 3 Let j = -2808823159/1038 - -2705995. Let z = -1/346 - j. Sort -1, 62, z. -1, z, 62 Let f = -180.979 + -0.021. Let q = 178 + f. Sort -5, 5, q, 0.3. -5, q, 0.3, 5 Suppose -3 + 3 = -13*u. Let x be (2 - u)/10 - (-189)/1080. Sort -1/2, -24, x, -0.4 in descending order. x, -0.4, -1/2, -24 Let l = -92 - -141. Suppose -9*c - 40 = -l. Put c, -4, 5, 0 in increasing order. -4, 0, c, 5 Let a be 40*(-5)/(-50)*5. Let n be (6/15)/(-2)*a/(-12). Sort 2/15, n, -2 in decreasing order. n, 2/15, -2 Let n be ((0 + -1)/(-1))/(1 - 0). Suppose 14 = -12*c + 2. Let x be (2 - 1)/(2/(-8)). Sort c, x, n in decreasing order. n, c, x Let o = -24667 + 24670. Suppose 2*w + 360 = -3*j, -5*j + w + w - 600 = 0. Sort j, o, -3, 4. j, -3, o, 4 Let n = -0.86223 - -0.86223. Let f = -3.002 + 3. Put n, f, -5 in increasing order. -5, f, n Suppose 2*j + 4*s = 27 + 9, 3*j - 5*s = 76. Suppose 22 = -w + 5*w - 2*n, 5*w = -3*n + j. Let v be 4/6 + (-10)/6. Put 1, -5, v, w in descending order. w, 1, v, -5 Let j(w) = -38*w + 1434. Let r be j(38). Put -2, -7, 4, -5, r in ascending order. r, -7, -5, -2, 4 Let u = -0.89 - 0.11. Let o = 23 + -83. Let v = -69 - o. Put 1, 1/4, u, v in descending order. 1, 1/4, u, v Let p = -1.08883 - -0.08883. Let x = 673/1752 - 2/219. Sort -1/2, p, x, -5 in increasing order. -5, p, -1/2, x Let h be ((-4750)/1140)/((-5)/828). Put h, -3, 2, 3 in descending order. h, 3, 2, -3 Let q(a) = -256*a + 9789. Let j be q(39). Sort 0, 23, j, -2 in ascending order. j, -2, 0, 23 Let p = 220.58 + -220. Let t = p - 2.58. Sort 1/3, 4, -1.2, t in increasing order. t, -1.2, 1/3, 4 Suppose 2*v - 5*r + r = -350, 3*v + 3*r = -507. Let j = v - -173. Put -5, 3, j, -1 in descending order. 3, j, -1, -5 Suppose 80*x = 106*x - 312. Put 1/7, 5, x, -0.5 in decreasing order. x, 5, 1/7, -0.5 Suppose 2*v + 73 = 77. Suppose 0*m + 16 = v*m. Suppose 0*r - 8 = m*r. Put 1, -7, r in ascending order. -7, r, 1 Let q be 2*1/3 - 1. Let z = -220.317 + 222.1. Let i = 0.217 + z. Sort i, q, 0.4 in decreasing order. i, 0.4, q Let g be 334/835 - (1 - (-6)/(-10)). Sort -0.1, 2, -1/3, -18, g. -18, -1/3, -0.1, g, 2 Let n(b) = 28*b**2 - 9*b - 131. Let i be n(-6). Let t = i - 1859/2. Let s = -0.39 - 0.01. Put t, 7, s in descending order. 7, t, s Let n be -6*((-207)/(-6))/(-23). Put -1, n, 130 in ascending order. -1, n, 130 Suppose -8 = -3*w - 4*j, 9 = 5*j - 1. Let z be ((-1961)/37 - -50) + (-5)/(-1). Let o be (-1)/(-2)*10/(-1). Sort w, z, o, 5 in descending order. 5, z, w, o Let s = -38 + 97. Let f = -73 + s. Let p be -4 - ((-2)/1)/(-2). Put p, f, -1 in decreasing order. -1, p, f Let a = -26120 - -26119.7. Let t be (-4)/10 - 6/(-10). Sort -3, a, -1/4, t. -3, a, -1/4, t Suppose -4*c - 4 = m + 3*m, 11 = c - 5*m. Let y be (0 - (-1 + 4))*-1. Suppose -4*b - 3*t - 20 = 2*t, 4*b - 3*t = -20. Sort b, c, y in descending order. y, c, b Suppose 8*o + 6 = -130. Let j be o/((-34)/8) - 22/4. Sort 0, 1/8, j, 0.5 in decreasing order. 0.5, 1/8, 0, j Let o(x) = 56*x - 6226. Let r be o(111). Sort -2, -5, r, 7, 6. r, -5, -2, 6, 7 Suppose -4 = -4*w - 12, 18 = -2*d + 3*w. Let h = -3443 + 3438. Sort 0.1, -1/7, d, h in decreasing order. 0.1, -1/7, h, d Let p be ((-3)/10)/((-96)/(-80)). Let z = 21.024 + -21. Let f = -0.144 + z. Sort p, f, -4, -0.4 in decreasing order. f, p, -0.4, -4 Let a(c) be the first derivative of -c**2/2 - 13*c + 8. Let k be a(-13). Suppose 0 = -5*p + 2 + 3. Put p,
{ "pile_set_name": "DM Mathematics" }
4277.8747 rounded to zero decimal places? 4278 What is 32203400 rounded to the nearest one hundred thousand? 32200000 Round -0.0002271427 to five decimal places. -0.00023 What is 0.00943463 rounded to 4 decimal places? 0.0094 What is 0.217803 rounded to 3 decimal places? 0.218 Round -31372.38 to the nearest ten. -31370 What is 0.0003272916 rounded to 6 decimal places? 0.000327 Round -254.16761 to 1 decimal place. -254.2 Round 34.7493 to the nearest integer. 35 What is -442.64135 rounded to one dp? -442.6 Round -588399.9 to the nearest 100000. -600000 What is 0.000722626 rounded to 3 dps? 0.001 What is 0.00001381799 rounded to 6 dps? 0.000014 Round -0.4765521 to two dps. -0.48 What is 0.005357337 rounded to 5 dps? 0.00536 Round -4158789000 to the nearest 1000000. -4159000000 What is 2320 rounded to the nearest ten thousand? 0 Round -4043774.6 to the nearest one hundred thousand. -4000000 Round 0.000053366 to six dps. 0.000053 Round -12835.07 to the nearest ten thousand. -10000 Round 0.040017823 to five dps. 0.04002 Round -0.00000045268 to 7 decimal places. -0.0000005 What is 0.000187993 rounded to 4 decimal places? 0.0002 What is 0.000438257 rounded to five dps? 0.00044 What is 26695.76 rounded to the nearest 100? 26700 Round 39.724 to the nearest ten. 40 Round 198972.8 to the nearest 10000. 200000 What is -114.364 rounded to 0 dps? -114 What is -0.0001583633 rounded to 6 decimal places? -0.000158 Round 994.137 to the nearest one hundred. 1000 Round 6.513094 to one decimal place. 6.5 Round 298900 to the nearest one hundred thousand. 300000 Round -3869.56 to the nearest ten. -3870 Round 10.55237 to 0 decimal places. 11 What is 14066.905 rounded to the nearest ten thousand? 10000 What is 0.000133828 rounded to 5 dps? 0.00013 Round -0.0000752377 to six decimal places. -0.000075 Round -6.08605 to 2 dps. -6.09 Round 101301.67 to the nearest 1000. 101000 Round -1.00156 to 2 dps. -1 What is 0.0001194451 rounded to four decimal places? 0.0001 What is -127.68298 rounded to 2 decimal places? -127.68 What is 0.0553464 rounded to three dps? 0.055 Round 0.0284106 to three decimal places. 0.028 Round 0.00051737801 to 5 dps. 0.00052 Round -0.008878535 to four decimal places. -0.0089 What is 503014.4 rounded to the nearest one hundred? 503000 What is -11816.08 rounded to the nearest 100? -11800 What is 9450300 rounded to the nearest one million? 9000000 What is -70566.9 rounded to the nearest 1000? -71000 What is -0.00003885705 rounded to 5 decimal places? -0.00004 What is -0.000059804553 rounded to six dps? -0.00006 What is 0.000000371302 rounded to seven decimal places? 0.0000004 What is 54.38359 rounded to 1 decimal place? 54.4 What is -11165850 rounded to the nearest 1000? -11166000 What is 686.31373 rounded to the nearest 100? 700 Round 0.0208274 to two dps. 0.02 Round -455.1798 to 1 decimal place. -455.2 What is -0.05231334 rounded to 3 decimal places? -0.052 Round 39820000 to the nearest one million. 40000000 What is -1.36811 rounded to 0 decimal places? -1 Round 0.400051 to 3 dps. 0.4 What is 8428600 rounded to the nearest ten thousand? 8430000 Round -0.00016608593 to four dps. -0.0002 Round 14093124000 to the nearest one million. 14093000000 What is 0.014180658 rounded to four decimal places? 0.0142 Round 0.01675581 to four dps. 0.0168 Round 68808500 to the nearest one million. 69000000 What is -0.000973016 rounded to four decimal places? -0.001 Round 0.00001037553 to 5 dps. 0.00001 What is 0.13382396 rounded to four dps? 0.1338 What is -1973744 rounded to the nearest ten thousand? -1970000 What is 0.0000038576218 rounded to 7 dps? 0.0000039 Round -4879.478 to the nearest one thousand. -5000 Round -19276.399 to the nearest 100. -19300 What is -0.001157354 rounded to five decimal places? -0.00116 What is -0.6598613 rounded to 2 decimal places? -0.66 Round -282.1439 to the nearest integer. -282 What is 58100.68 rounded to the nearest 10000? 60000 What is -41490237 rounded to the nearest one million? -41000000 Round -638.1552 to the nearest 10. -640 Round 2933.1864 to the nearest 10. 2930 What is -108.5062 rounded to one dp? -108.5 What is 20137960 rounded to the nearest one million? 20000000 What is -274.7838 rounded to one decimal place? -274.8 What is -0.0000614085 rounded to 7 dps? -0.0000614 Round 7396.194 to the nearest one hundred. 7400 What is -0.0000215281 rounded to 5 dps? -0.00002 Round -151.72 to the nearest one hundred. -200 What is -0.0000877884 rounded to five dps? -0.00009 What is 2342125000 rounded to the nearest one million? 2342000000 Round 0.02413 to two decimal places. 0.02 What is -7838.61 rounded to the nearest 10? -7840 Round 589.1277 to the nearest 100. 600 Round -3.1548 to the nearest integer. -3 What is -0.0000370518 rounded to seven decimal places? -0.0000371 Round 0.000030191806 to 6 dps. 0.00003 Round -0.00971 to 5 dps. -0.00971 What is 0.00022797 rounded to seven dps? 0.000228 What is -47679870 rounded to the nearest one million? -48000000 Round 0.00351966 to six decimal places. 0.00352 Round 371090.36 to the nearest 10000. 370000 Round 183414 to the nearest one thousand. 183000 What is -1019.3795 rounded to the nearest ten? -1020 Round 21561379 to the nearest one million. 22000000 Round 6.67481 to the nearest 10. 10 What is -5208570.4 rounded to the nearest one hundred thousand? -5200000 What is 68.6579 rounded to the nearest integer? 69 Round -8537.7 to the nearest 1000. -9000 What is 782.9634 rounded to the nearest ten? 780 Round -3.043995 to 1 decimal place. -3 Round -0.003812088 to 6 dps. -0.003812 What is 859.0236 rounded to the nearest ten? 860 What is 421830 rounded to the nearest one million? 0 What is -272.881 rounded to the nearest ten? -270 Round 0.0021016653 to 4 dps. 0.0021 Round 618942 to the nearest one hundred thousand. 600000 Round 0.004075421 to 3 decimal places. 0.004 Round -248895000 to the nearest one million. -249000000 What is 3.03985 rounded to 1 dp? 3 What is -3531200 rounded to the nearest 100000? -3500000 What is 4715930 rounded to the nearest 10000? 4720000 What is -814452300 rounded to the nearest 100000? -814500000 What is 0.0001018341 rounded to 4 decimal places? 0.0001 What is -0.32066851 rounded to two dps? -0.32 What is 7582367 rounded to the nearest one million? 8000000 What is 1531600400 rounded to the nearest one million? 1532000000 Round -585.91 to zero decimal places. -586 Round 0.357255 to 3 dps. 0.357 What is 26044500 rounded to the nearest 1000000? 26000000 What is 0.007175989 rounded to four dps? 0.0072 What is 0.0028211141 rounded to 4 decimal places? 0.0028 What is 0.1505711 rounded to 2 decimal places? 0.15 Round -1.80976 to the nearest integer. -2 Round -0.000029531 to 5 decimal places. -0.00003 What is 51913700 rounded to the nearest 1000000? 52000000 What is 13202489 rounded to the nearest ten thousand? 13200000 Round 231.8815 to 1 decimal place. 231.9 Round -0.03575051 to 3 decimal places. -0.036 Round 0.0009588373 to 6 dps. 0.000959 Round -16726.009 to the nearest one thousand. -17000 What is -50816900 rounded to the nearest one hundred thousand? -50800000 What is 193.0208 rounded to the nearest 10? 190 What is 0.2706017 rounded to three decimal places? 0.271 Round 0.000058477115 to 5 decimal places. 0.00006 What is 23542050 rounded to the nearest 10000? 23540000 Round -11257.099 to the nearest one thousand. -11000 What is 5.02161 rounded to one decimal place? 5 What is -0.1640704 rounded to 1 decimal place? -0.2 What is 0.023295982 rounded to 4 decimal places? 0.0233 Round 0.01359662 to 4 decimal places. 0.0136 Round -0.0054344322 to four decimal places. -0.0054 Round 153.097 to the nearest ten. 150 What is 3854.151 rounded to the nearest integer? 3854 What is -112.4298 rounded to 1 dp? -112.4 Round -18932.2 to the nearest one thousand. -19000 What is -637222.84 rounded to the nearest 100000? -600000 Round 0.00071164 to five dps. 0.00071 Round 37.77588 to one decimal place. 37.8 What is -212122 rounded to the nearest one hundred? -212100 Round -9446.574 to the nearest 1000. -9000 What is -745.4198 rounded to the nearest one hundred? -700 Round 0.002020586 to 5 decimal places. 0.00202 What is -369.8814 rounded to the nearest integer? -370 Round -20403.67 to the neare
{ "pile_set_name": "DM Mathematics" }
7*r + 9. Let k(l) = -10*l + 15. Let c(t) = -3*k(t) + 5*m(t). Calculate c(u(a)). -30*a**2 - 15 Let h(n) = n**2. Let x(f) = 398*f**2 + 2*f. Let a(m) = -3978*m**2 - 21*m. Let r(j) = -2*a(j) - 21*x(j). What is h(r(i))? 161604*i**4 Let f(h) = -h. Let g(s) = -s**2 + s + 10. Let i be g(0). Let n = i + -10. Let t(k) = 21 - 2*k - 21 + n*k. Calculate t(f(q)). 2*q Let z(q) be the first derivative of -33 - 9/2*q**2 + 0*q. Let i(t) = -6*t. Determine i(z(p)). 54*p Let f(b) = 232*b**2. Let p(y) = 68*y**2. Give p(f(n)). 3660032*n**4 Let b(a) = -7*a**2. Let x(j) be the second derivative of -j**5/60 - 2*j**3/3 + 22*j. Let v(n) be the second derivative of x(n). Calculate v(b(g)). 14*g**2 Let m(o) = 4*o**2 - 5. Let s(y) = -10*y**2 + 12. Let c(k) = -12*m(k) - 5*s(k). Let n = 16 + -14. Let f(t) = -11*t**2 + 7*t**n + 5*t**2. What is f(c(x))? 4*x**4 Suppose -4*v + 20 = -3*p, -4*v = -v + 3*p + 6. Let t(d) = 10*d**v - 303*d + 303*d. Let z(u) = -2*u**2. Calculate z(t(x)). -200*x**4 Let i(o) = -1484369*o. Let q(w) = -w. Give q(i(t)). 1484369*t Let l(w) = 2*w - 205. Let p(d) = -309*d. Calculate p(l(m)). -618*m + 63345 Let i(j) = j - 2. Let p(z) = -8*z + 14. Let c(n) = -21*i(n) - 3*p(n). Let l(u) = -48*u**2. Give l(c(r)). -432*r**2 Let b(y) = -61*y. Let i(q) = 615*q**2. Calculate b(i(r)). -37515*r**2 Let f(j) = -6*j**2 + 9*j**2 + 3*j**2. Let o(h) = -4*h**2. Determine f(o(c)). 96*c**4 Let f(p) be the third derivative of -3*p**2 + 1/60*p**5 + 0*p**4 + 0*p + 0 + 0*p**3. Let x(t) = -171*t + 347*t - 169*t. What is x(f(r))? 7*r**2 Let q(x) = -10*x**2. Suppose -2*z - 33 = 5*a - 8, 15 = -2*z - 3*a. Let s(t) = 2*t + z*t + 3*t - 3*t. Give s(q(c)). -20*c**2 Let o(v) = 2*v. Let s(c) = 9*c + 148*c**2 - 9*c - 65*c**2 - 424*c**2. Determine o(s(g)). -682*g**2 Let o(q) = 37*q + 2*q**2 - 37*q. Let l(u) = -5*u - 8. Let c be l(-2). Let v(h) = -51*h**2 + 25*h**2 + 25*h**c. Calculate v(o(t)). -4*t**4 Suppose -1 = 3*b - 5*r + 10, 4*r - 16 = 0. Suppose 64 = 5*i + 19. Let o(c) = 8*c + b*c - i*c. Let f(g) = 9*g. Calculate o(f(w)). 18*w Let b(p) = -3*p. Let j(x) = 10*x - 11. Let a(n) = -11*n + 14. Let h(s) = -5*a(s) - 6*j(s). Calculate h(b(y)). 15*y - 4 Let h(z) = z. Let q(b) = -2*b. Let o(d) = 6*h(d) + 6*q(d). Suppose 4*a = 8, 6*l - 1855 = 5*l + 4*a. Let g(x) = -2*x**2 + 1863*x - l*x. Determine o(g(v)). 12*v**2 Let k(j) = 7*j**2. Let r = -5 + 11. Suppose 6 = -2*n + 3*h, 4*n + 6*h - 3*h = r. Let o(v) = n*v - v + 0*v + 0*v. Determine k(o(a)). 7*a**2 Let u(z) = 143*z - 10*z**2 - 143*z - 11*z**2. Let o(c) be the first derivative of -c**2/2 - 53. Calculate o(u(g)). 21*g**2 Let f(s) be the second derivative of 0 - 49/2*s**2 - 31*s - 1/3*s**3. Let t(p) = -p**2. Give f(t(u)). 2*u**2 - 49 Let p(f) = -266*f**2 - 2*f. Let u(g) = -31*g. Determine u(p(r)). 8246*r**2 + 62*r Suppose 0 = -5*a - f + 8, 5*a - 11 = 4*f + 7. Let l(h) be the first derivative of -3*h**a + 2 + h**2 + h**2. Let g(n) = -n**2. What is g(l(s))? -4*s**2 Let x(s) = 63*s**2. Let h(p) = 108*p + 108*p - 322*p + 3*p**2 + 106*p. What is x(h(i))? 567*i**4 Let a(y) = -2*y + 395. Let l(i) = 240*i**2. Calculate l(a(o)). 960*o**2 - 379200*o + 37446000 Let s(n) = 2*n**2 + 48757*n. Let d(r) = 5*r. Calculate s(d(q)). 50*q**2 + 243785*q Let r(y) = -16*y**2. Let w(f) = -f + 619. Give r(w(c)). -16*c**2 + 19808*c - 6130576 Suppose -11*a + 125631 = -2*a. Let b(m) = -2*m + 13959 - a. Let v(s) = 8*s. Calculate b(v(h)). -16*h Let a(r) = 4*r + 5. Let k(j) = -41*j - 1. What is k(a(o))? -164*o - 206 Let u(k) = 355*k. Let r(m) = -2*m**2. Determine u(r(s)). -710*s**2 Let h(c) = 5*c**2 + 46*c - 5. Let w(t) = -2*t**2 - 22*t + 3. Let k(f) = -3*h(f) - 5*w(f). Let q(g) = 2*g**2. Determine q(k(x)). 50*x**4 + 560*x**3 + 1568*x**2 Let c(v) = 89*v. Let a(w) = 1295*w. What is a(c(f))? 115255*f Let x(z) = z. Suppose -d - 1 = -12. Let i(u) = 42 - d*u - 16*u + 29*u. Determine i(x(c)). 2*c + 42 Let j(w) = -716572*w. Let l(o) = 2*o**2. Calculate l(j(g)). 1026950862368*g**2 Let v(s) = -10*s**2. Let c be (-11)/(-2)*(-7 - -13). Let n = 35 - c. Let y(i) = n*i + i + i - 3*i. Calculate y(v(f)). -10*f**2 Let n(s) = -3*s - 2. Let g(b) be the second derivative of b**4/12 + 2*b + 84. What is n(g(h))? -3*h**2 - 2 Let g(d) = -7*d. Let x(b) = 1. Let i(c) be the first derivative of c**2/2 - 5*c - 14. Let o(l) = 3*i(l) + 15*x(l). Determine o(g(u)). -21*u Let b(k) = k**2. Let s(r) be the first derivative of -495*r**2/2 - 90. Determine b(s(v)). 245025*v**2 Let w(l) = -9*l. Let n(c) = 4*c. Let i(q) = -5*n(q) - 2*w(q). Let z(u) = 6*u**2 + 63*u - 7. Let a(j) = j**2 + 9*j - 1. Let d(h) = -7*a(h) + z(h). Give d(i(g)). -4*g**2 Let k(i) = -329*i**2 + 2*i. Let u(h) = -16*h**2. Give k(u(s)). -84224*s**4 - 32*s**2 Let x(q) be the third derivative of 0*q**3 + 0 - 1/30*q**5 - 6*q**2 + 0*q**4 + 0*q. Let m(k) = -4*k**2 + 43 - 43. Give m(x(a)). -16*a**4 Let h(l) = 2*l**2. Let s(k) = 2*k**2. Let d(u) = 4*h(u) - 5*s(u). Let w(m) = 28*m + 25*m - 56*m. Determine d(w(q)). -18*q**2 Let h(o) = 16*o + 4. Let p(n) = 17*n**2 - 2*n + 116. What is h(p(a))? 272*a**2 - 32*a + 1860 Let d(q) = 3*q - 13. Let v be d(5). Let a(z) = 16*z**v + 0*z + 0*z - 13*z**2. Let k(w) = w**2. Calculate a(k(u)). 3*u**4 Let y(k) = -11*k**2. Let s(u) = 133*u**2 + 36. What is s(y(t))? 16093*t**4 + 36 Let y(l) = -4*l - 2. Let j = -48 - -79. Let a(p) = p - 15 + j - 16. Calculate a(y(m)). -4*m - 2 Let d(y) = 6*y**2. Let z(c) be the second derivative of 0 + 0*c**2 + 0*c**3 + 18*c - 2/3*c**4. Give z(d(f)). -288*f**4 Let i(n) = -64*n**2. Let p(v) = -2308*v**2 + 2. Calculate p(i(d)). -9453568*d**4 + 2 Let b(f) = 2*f**2. Let m(u) be the second derivative of 5*u + 1/6*u**3 + 0*u**2 + 0. Calculate b(m(p)). 2*p**2 Let h(i) = -i. Let b(m) = 580*m**2 - 781*m**2 + 436*m**2. Determine b(h(u)). 235*u**2 Let b(g) = 2*g. Let v(f) be the second derivative of 0 - 1/12*f**4 + 0*f**3 + 29*f + 0*f**2. Calculate b(v(h)). -2*h**2 Let l(j) be the second derivative of 2*j**3/3 + 7*j. Let b(g) be the third derivative of 0*g**4 + 0*g + 0 - 1/60*g**5 + 0*g**3 + 5*g**2. Give l(b(q)). -4*q**2 Let h(c) be the second derivative of 0*c**2 - 3*c - 2/3*c**3 + 0. Let g(s) = 2*s**2 - 4*s**2 - 3*s**2. Determine g(h(f)). -80*f**2 Let m(o) = 13*o**2 + 16*o**2 - 27*o**2. Let h(k) = 51*k**2. Give h(m(w)). 204*w**4 Let o(z) = -3*z**2. Let p(b) = 4*b + 218. What is o(p(c))? -48*c**2 - 5232*c - 142572 Let g(z) = 2*z**2 - 3*z - 3. Let x(d) = d**2 - 2*d - 2. Let t(o) = 2*g(o) - 3*x(o). Let m(w) be the first derivative of -5*w**3 + 93. Calculate t(m(r)). 225*r**4 Let y(b) = 4*b. Let z = 183 + -181. Let q(g) be the second derivative of -2/3*g**3 + 0*g**z + 0 + g. Calculate y(q(w)). -16*w Let n(f) = f - 2*f**2 - f. Let p(y) be the third derivative of -y**4/12 + 2*y**3 + 2813*y**2. Determine p(n(l)). 4*l**2 + 12 Let t(z) = -2*z. Let h(o) = 2*o - 1. Let y(s) = s**2 + 190*s - 5. Let d(i) = 5*h(i) - y(i). Calculate d(t(l)). -4*l**2 + 360*l Let n(z) = -12 - 8 - 10*z + 30 - 9. Let l(j) = -j. Determine n(l(f)). 10*f + 1 Let f(a) = 727*a. Let p(o) = -4*o**2 - 1. Calculate p(f(w)). -2114116*w**2 - 1 Let j(r) = -r. Let b(h) = h**2 + 6*h + 5. Let n be b(-5). Let s(f) = -16*f**2 + n + 0 + 23*f**2. What is j(s(o))? -7*o**2 Let t(h) = h. Let j(z) = -z**2 - z. Let d(q) = 7*q**2 + 14*q**2 + q - 6*q**2 + 19*q. Let r(a) = -d(a) - 20*j(a). Give t(r(w)). 5*w**2 Let c = -11 + 13. Let w(t) = 8*t**2 + 5*t**2 - 18*t**c + 7*t**2. Let h(u) = 11*u. What is h(w(r))? 22*r**2 Let z(g) = -5*g. Let k(d) = -15065*d. Calculate z(k(s)). 75325*s Let i(q) = -16*q**2 + 4*q**2 - 12*q**2. Let f(s) = -s**2 + 2*s - 4. Let v(u) = -u + 3*u**2 - 2*u**2 - 105 + 107. Let c(h) = -f(h) - 2*v(h). Give i(c(j)). -24*j**4 Let l(o) = -20*o + 3*o - 28*o. Let m(n) = -4*n. Let h(t) = 5*l(t) - 54*m(t). Let q(j) = 2*j**2. Determine q(h(c)). 162*c**2 Let u(w) = 13*w**2. Let g(z) = 1270*z. What is u(g(n))? 20967700*n**2 Let k = -12 + 14. Let o(b) = 7*b**k + 2*b**2 - 12*b**2 + 4*b**2. Let y(x) = 2 - 2 - 4*x + 6*x. Determine y(o(c)). 2*c**2 Let p(j) = -5*j**2. Let u(q) = -555*q - 37. Let w(f) = -46*f - 3. Let o(r) = -3*u(r) + 37*w(r). What is p(o(d))? -6845*d**2 Let x(t) = 39*t. Let c(k) = -5*k + 8. Let a(b) = -2*b + 2. Let w(y) = 4*a(y) - c(y). Give x(w(z)). -117*z Let w be (-25)/(-10) + (-2 - 3/(-2)). Let p(z) = 7*z**2 + 15*z**2 - 59*z**2 + 17*z**w. Let o(j
{ "pile_set_name": "DM Mathematics" }
1 Let d(s) = -s**3 - 9*s**2 - 17*s - 9. What is the tens digit of d(-8)? 6 Let h = 19 - -25. What is the units digit of h? 4 Let f(r) = r**2 + 4*r - 5. Let u be f(-6). Let c(n) = -n**3 + 7*n**2 + 3*n - 10. What is the units digit of c(u)? 1 Suppose 2*x - 5 = -13, -10 = -2*w + x. What is the units digit of w/(-1) + 0 - -36? 3 Let s(h) = -h + 13. Let v be s(-7). Suppose -b = -p + 2*p, 4*p = -v. What is the units digit of b? 5 Let p = -110 + 241. What is the tens digit of p? 3 Let s = 10 - 4. Let i = -5 + s. What is the units digit of 1 + 0*i/3? 1 Let p(w) = 2*w + 1. Let v be p(1). Let g be v/(-6) + (-6)/4. What is the units digit of 188/36 + g/9? 5 What is the units digit of 8/(-10) - 2295/(-25)? 1 Let y be (-4)/(-12)*(6 - 0). Suppose 5*h - 2*t - 50 = 0, -4*h + t = -y*t - 47. What is the units digit of h? 8 Suppose 5*y = 5 - 25. Let a = y - -13. What is the units digit of a? 9 Suppose 6*c = c. Suppose -2*q + 22 + 6 = c. What is the units digit of q? 4 Let p be 14/4*16/14. Suppose 5*q - 2*q - 63 = -3*t, -59 = -3*t - 2*q. Suppose -3*x = -p*x + t. What is the units digit of x? 7 Let d = 5 - 2. Suppose -10 = 4*j + 4*n - 34, -4*n + 10 = -d*j. What is the units digit of j? 2 Let j(a) = -3*a + 7. What is the units digit of j(-11)? 0 Suppose -4*y = -12, -3*j - 1 = y - 16. Suppose -j*p + 4*m + 76 = 0, -3*m - 4 - 2 = 0. What is the tens digit of p? 1 Suppose -2*r = -7*r. Suppose r = -4*d - 0*d + 8. Let w = 9 - d. What is the units digit of w? 7 Suppose -93 - 20 = -q. What is the hundreds digit of q? 1 Suppose 0*g = -g. Suppose 3*m = -q - 15, -3*q = 5*m - g*q + 21. Let i(p) = p + 9. What is the units digit of i(m)? 3 Let v be ((-16)/(-20))/((-2)/(-10)). Let t = 7 - v. Suppose -t*n - 34 + 94 = 0. What is the tens digit of n? 2 Let v = 59 - 95. Let m be (1 - 0)/((-4)/v). Suppose -5*o = m - 29. What is the units digit of o? 4 Let o(f) = -f**2 + 9*f + 5. Let u be ((-18)/(-15))/(4/(-40)). Let g = -5 - u. What is the units digit of o(g)? 9 Let g = -5 - -7. Let s(o) = -o**2 + 4*o - 1. Let n be s(g). Suppose -2*v = -4*w, v + 9 = n*w + 2*w. What is the units digit of v? 6 Let v = 15 + -13. Suppose d = 2*d - 5, v*t + 5*d = 65. What is the tens digit of t? 2 Let n be -12*(-5)/30*2. Let a = 7 + -4. Suppose -2*t - 3*x - 13 = -31, -n*t + 72 = -a*x. What is the units digit of t? 5 Suppose -8 - 19 = -3*b + 4*u, 5*u - 10 = -5*b. Suppose 3*z = -b*a + 5*z + 56, -5*z + 5 = 2*a. What is the tens digit of a? 1 What is the units digit of 89 - (-1)/(-5)*5? 8 Suppose 5*g - 3*f - 61 = 0, -g - 3*f - 5 = -2*g. What is the units digit of g? 4 Let w = -15 + 31. Suppose 2*d - w = -2. What is the units digit of d? 7 Let g(o) = 13*o - 1. Let q be g(-6). What is the units digit of q/(-5) + (-24)/30? 5 Let r(t) = t**3 + 4*t**2 + 2*t + 2. Let h be r(-3). Suppose -h*b + 6 = -24. What is the units digit of b? 6 Let l be -6*3/(-9)*-139. Let s be l/(-3) + 12/(-18). Suppose 29 - s = -3*d. What is the units digit of d? 1 Let u = -29 + 25. Suppose 2*f - 8 = 2*v, -4*v - 15 = -8*f + 3*f. Let k = u - v. What is the units digit of k? 1 Suppose 75 = l - 4*x, -5*l - 2*x = -0*x - 353. What is the tens digit of l? 7 Suppose -4*t = -2*d - 6, -4*d = -5*t - 0*d + 6. Suppose -t*w - 114 = -4*w. Suppose w + 33 = 5*v. What is the units digit of v? 8 Let r be (50/4)/((-3)/6). Let z = r - -36. What is the units digit of z? 1 Let i(b) = 3*b + 31. What is the tens digit of i(0)? 3 Suppose -z = -5*y - 46, z + 4*y = 57 + 25. What is the tens digit of z? 6 Let n(i) = -27*i**2 - i - 2. Let c be n(-1). Suppose 4*g + 3*p - 1 = 4*p, -4*p + 7 = -5*g. What is the units digit of c/(-21)*g*3? 4 Let t(c) = 6*c**2 + 6*c + 9. What is the tens digit of t(8)? 4 What is the tens digit of (12/(-1))/((-14)/56)? 4 What is the tens digit of ((-2)/(-6)*3)/(7/553)? 7 Let f be 48/(-20) - (-6)/15. What is the units digit of (-6)/f + -7 - -7? 3 Suppose 0*z + 2*z = 8. Suppose 8 = t + z. Suppose -t = -w + 2. What is the units digit of w? 6 Let k(s) = -s**3 + 9*s**2 + 1. Let n be 1/(-3) - (-28)/3. Let a be k(n). What is the units digit of 12 - -1*(a + -3)? 0 Let k = -218 - -310. What is the tens digit of k? 9 Suppose 2*g - 4*h + 10 = -2*h, -2 = -2*h. Let v = g + 8. What is the units digit of v? 4 Let u = -1 + 4. Suppose 2*c = 5*c - u. What is the units digit of c? 1 Let c(d) = d - 10. Let q be c(8). Suppose -2*y - 3*y - 210 = 0. What is the units digit of y/(-9) + q/3? 4 Suppose 11*o = 3*o + 616. What is the tens digit of o? 7 Let d(a) = 14*a + 2. Let v be d(3). Let q = v - 28. Let p = q + -10. What is the units digit of p? 6 Let g(w) = -2*w**2 - 5*w + 4. Let q(v) = 3*v**2 + 6*v - 5. Let t(k) = 5*g(k) + 4*q(k). What is the units digit of t(-2)? 0 Suppose -9*s - 104 = -959. What is the tens digit of s? 9 Suppose 0*a + 4*a - 152 = 0. Suppose l - 5*k = 27, 5*k - 15 + a = -l. What is the units digit of -5*2*l/(-5)? 4 What is the hundreds digit of 1/(4 + 2103/(-263) + 4)? 2 Suppose -4 = 4*h, 3*n + 4*h = 5*n + 64. Let l = n - -24. What is the units digit of -3*(l/6 + 1)? 2 Let b be 10 - 10 - 24/(-2). Suppose -5*f = -2*f + b, -n - f = -7. What is the units digit of n? 1 Suppose -4*f + 199 = 7. What is the tens digit of f? 4 Let i(w) = -w**2 + 7*w - 7. Let n(t) = t**2 - 2. Let v be n(2). Suppose 31 = 7*o - v*o - 2*x, -o + 3*x = -14. What is the units digit of i(o)? 3 Suppose 2*t + 60 = -4*c, -2*c + 5*t + 0*t - 30 = 0. What is the tens digit of (-78)/4*10/c? 1 Let k = 10 + -8. Suppose 4*l = 38 + k. What is the tens digit of l? 1 Suppose -10*f = f - 418. What is the units digit of f? 8 Let t(k) be the third derivative of k**4/24 + 4*k**3/3 + k**2. Let a be t(-6). What is the units digit of (-8)/4*(-6 + a)? 8 Suppose -6*l + 11*l = 75. Suppose 5*a = 3*d + 25, 5*d - 4*d - 20 = -4*a. Suppose -3*t = -d*t - l. What is the units digit of t? 5 Let c(m) = -5*m - 3. What is the units digit of c(-3)? 2 Suppose -2*p + 82 = 3*b - b, 0 = -5*p + 15. What is the tens digit of b? 3 Let h = -48 + 94. Let u = h - 32. Suppose -2*z - u = -2*g, -5*g - 2*z + 38 = -6*z. What is the units digit of g? 0 Let c(k) = -4*k - 8. Let d(l) = 2*l + 6. Let y(r) = r + 1. Let p(i) = d(i) + y(i). Let h(u) = 4*c(u) + 5*p(u). What is the units digit of h(-6)? 9 Let t be (-3)/((-1)/((-37)/(-3))). Let x = t + -20. What is the units digit of x? 7 Suppose -3*k = 0, -t + 3*k - 36 = -4*t. Let r(m) = m + 1. Let d be r(t). Suppose -14 = -5*x - y, 0*y + d = 3*x - 4*y. What is the units digit of x? 3 Suppose -44 = -4*n + 180. What is the tens digit of n? 5 Suppose 148 = 5*q - q. What is the units digit of q? 7 Let r = -28 + 39. Let s(q) = -q**2 + 17*q + 4. Let k(o) = -o**2 + 18*o + 5. Let b(n) = -5*k(n) + 6*s(n). What is the units digit of b(r)? 0 Let x(u) = 1 + 2*u + 4 + u. Let z be x(5). Suppose h = -0*v - 4*v + z, -16 = -4*h. What is the units digit of v? 4 Let q = -26 - -18. Let u(a) = a + 19. What is the tens digit of u(q)? 1 Let d(a) = -15*a**2 - 5*a + 6. Let b(y) = -16*y**2 - 6*y + 7. Let t(l) = 5*b(l) - 6*d(l). What is the units digit of t(-1)? 9 Let d(h) = -h**2 + 10*h - 12. Let r(z) = z. Let a(b) = -d(b) + r(b). What is the tens digit of a(9)? 1 Let o = -2 + 7. Suppose -3*v = 3*k - 45, -o*v + 2*k = -34 - 27. What is the units digit of v? 3 Suppose 5*j = 2*c + 39 + 1, 2*j - 16 = 3*c. Let l = 12 - j. Suppose -l*n + 0*n + 64 = 0. What is the tens digit of n? 1 What is the tens digit of 14/(-35) - (-2104)/10? 1 Let d = 1 - -37. Suppose -3*n + o + 59 = 0, -2*n = -0*n - o - d. What is the units digit of n? 1 Suppose q = -2*q + 15. Suppose -q*r + 3*v + 5 = 2, -r + 3 = -3*v. Suppose 2*s - s - 1 = r. What is the units digit of s? 1 Suppose -5*p = g - 19, -3*p - 2*g + 10 = -0*p. What is the units digit of (p/(-6))/(1/(-18))? 2 Let r(p) = 8*p**2 + 2*p - 1. Let h be r(1). Suppose -4*z + 7 = -h. What is the units digit of z? 4 Let q = -45 - -77. Let s = q + -7. What is the units digit of s? 5 Suppose 2*i - b - 2 = 0, -i + 3*b = -b + 13. Suppose -o - 1 = 4*c - 3, 4*c - i*o + 6 = 0. Suppose c = 4*y - 7*y + 21. What is the units digit of y? 7 Let a(x) = 2*x**2 + 8*x + 7. Let k be a(-5). Suppose 3*s + 5*y - 89 = -k, -96 = -4*s - 5*y. What is the units digit of s? 4 Suppose 0 = 18*y - 5*y - 390. What is the tens digit of y? 3 What is the hundreds digit of 6 + 292 - (-2 + -1 + 2)? 2 Suppose 0 - 1 = -w. What
{ "pile_set_name": "DM Mathematics" }
mp? 5/39 What is prob of picking 1 x, 1 h, and 2 z when four letters picked without replacement from ezzhpfx? 1/35 Three letters picked without replacement from gkxxhkkdkllklkklhdkl. What is prob of picking 1 l, 1 h, and 1 k? 4/57 Calculate prob of picking 2 t when two letters picked without replacement from {t: 2, d: 1, r: 2}. 1/10 What is prob of picking 2 e when two letters picked without replacement from pepepppeep? 2/15 Calculate prob of picking 1 f, 1 n, 1 p, and 1 r when four letters picked without replacement from {n: 1, w: 1, i: 1, f: 1, p: 2, r: 1}. 2/35 Four letters picked without replacement from djjddrjjrrd. What is prob of picking 1 d and 3 r? 2/165 Four letters picked without replacement from {v: 4, h: 4, m: 1, c: 2, a: 6}. What is prob of picking 2 v and 2 h? 9/595 Four letters picked without replacement from vkvvcvvpcvkpcvp. What is prob of picking 3 v and 1 c? 1/13 Two letters picked without replacement from ddjdjjdjjdaa. Give prob of picking 2 d. 5/33 Three letters picked without replacement from zmisizszzsgziz. Give prob of picking 1 s, 1 z, and 1 m. 9/182 Calculate prob of picking 2 w when two letters picked without replacement from {w: 5, s: 3}. 5/14 Calculate prob of picking 2 r when two letters picked without replacement from rrrrxrhxrxrhrxrxrxr. 55/171 Two letters picked without replacement from zuppzpppuzpkpkp. Give prob of picking 1 u and 1 k. 4/105 What is prob of picking 4 f when four letters picked without replacement from {f: 15, i: 3}? 91/204 What is prob of picking 2 v when two letters picked without replacement from {s: 9, v: 5}? 10/91 What is prob of picking 2 y when two letters picked without replacement from {t: 2, y: 9}? 36/55 What is prob of picking 2 l and 1 f when three letters picked without replacement from ffllff? 1/5 Three letters picked without replacement from {g: 2, z: 1, b: 1, p: 2, s: 1}. Give prob of picking 1 b, 1 g, and 1 z. 2/35 Three letters picked without replacement from {w: 16, m: 4}. Give prob of picking 3 m. 1/285 Four letters picked without replacement from rgguuh. Give prob of picking 1 u, 2 g, and 1 h. 2/15 Calculate prob of picking 4 t when four letters picked without replacement from uwbtltllllttbul. 1/1365 Two letters picked without replacement from loypklyylyyy. Give prob of picking 2 l. 1/22 What is prob of picking 3 p when three letters picked without replacement from {y: 4, p: 12, v: 2, o: 2}? 11/57 What is prob of picking 1 l and 2 f when three letters picked without replacement from algaaiffaaf? 1/55 Three letters picked without replacement from ggkmgkk. What is prob of picking 2 g and 1 m? 3/35 Three letters picked without replacement from ccjssccctcmt. What is prob of picking 1 c, 1 t, and 1 s? 6/55 Calculate prob of picking 2 i when two letters picked without replacement from {o: 5, i: 7}. 7/22 What is prob of picking 1 c, 1 i, and 2 n when four letters picked without replacement from {n: 2, e: 4, i: 7, k: 4, c: 1}? 7/3060 Four letters picked without replacement from {j: 9, a: 7}. What is prob of picking 3 j and 1 a? 21/65 Four letters picked without replacement from kweskkgkggkbewkke. What is prob of picking 1 w, 2 e, and 1 g? 9/1190 Two letters picked without replacement from fcffffffffffcfc. What is prob of picking 2 f? 22/35 Two letters picked without replacement from {e: 7, d: 4}. What is prob of picking 1 e and 1 d? 28/55 Four letters picked without replacement from {b: 15, l: 5}. What is prob of picking 1 b and 3 l? 10/323 Three letters picked without replacement from {v: 10, d: 1, w: 1, n: 5}. What is prob of picking 1 n, 1 d, and 1 w? 1/136 Calculate prob of picking 1 l and 1 m when two letters picked without replacement from {l: 5, m: 2, q: 5, g: 1, u: 3}. 1/12 Three letters picked without replacement from aaddadaaagaaapd. What is prob of picking 2 a and 1 p? 36/455 What is prob of picking 2 g and 2 y when four letters picked without replacement from ygggyggyggyygygyygy? 135/323 Three letters picked without replacement from {z: 1, j: 2, v: 2, u: 2, x: 1, p: 7}. Give prob of picking 1 p, 1 j, and 1 x. 2/65 What is prob of picking 2 s when two letters picked without replacement from {p: 2, s: 5}? 10/21 Calculate prob of picking 2 w when two letters picked without replacement from wwwwlwulo. 5/18 Calculate prob of picking 1 b and 1 p when two letters picked without replacement from {n: 12, r: 3, p: 2, b: 2, l: 1}. 2/95 Calculate prob of picking 1 y and 1 b when two letters picked without replacement from efbbhxfxbybx. 2/33 Calculate prob of picking 1 h, 1 t, 1 g, and 1 a when four letters picked without replacement from {g: 1, a: 1, h: 2, t: 1}. 2/5 Calculate prob of picking 1 t, 1 f, and 1 k when three letters picked without replacement from {v: 4, f: 3, t: 1, q: 7, k: 4}. 4/323 Four letters picked without replacement from {k: 5, h: 4, s: 3}. Give prob of picking 2 h, 1 k, and 1 s. 2/11 Three letters picked without replacement from xxxxxyxyxyxxyxxxxx. What is prob of picking 3 y? 1/204 What is prob of picking 1 t, 1 n, and 2 l when four letters picked without replacement from lnlwlnttlt? 6/35 Two letters picked without replacement from {w: 1, e: 1, j: 2, a: 4, y: 4, l: 6}. What is prob of picking 1 e and 1 j? 2/153 Two letters picked without replacement from {f: 9, n: 10}. What is prob of picking 2 f? 4/19 Two letters picked without replacement from {n: 12, d: 1, e: 4, a: 3}. Give prob of picking 1 e and 1 d. 2/95 What is prob of picking 1 x, 1 b, and 1 c when three letters picked without replacement from {z: 5, b: 6, c: 1, x: 4}? 3/70 Three letters picked without replacement from rrrrrprprpr. What is prob of picking 1 r and 2 p? 8/55 Three letters picked without replacement from {m: 3, q: 17}. What is prob of picking 2 m and 1 q? 17/380 Three letters picked without replacement from ckcgggcgccg. Give prob of picking 2 g and 1 c. 10/33 Calculate prob of picking 1 j, 1 z, and 1 t when three letters picked without replacement from tzjtjttttllljfjtztj. 80/969 Two letters picked without replacement from eyyyyleyyyl. Give prob of picking 1 l and 1 e. 4/55 What is prob of picking 1 g and 1 v when two letters picked without replacement from {q: 1, z: 4, g: 2, y: 3, v: 6}? 1/10 Calculate prob of picking 2 c when two letters picked without replacement from {v: 6, y: 2, c: 4}. 1/11 Three letters picked without replacement from vznwazvh. Give prob of picking 1 n, 1 h, and 1 z. 1/28 Two letters picked without replacement from dddddluulddd. Give prob of picking 1 d and 1 u. 8/33 Three letters picked without replacement from rqrrrrrqrqr. Give prob of picking 3 r. 56/165 What is prob of picking 1 u and 1 a when two letters picked without replacement from {a: 7, u: 2}? 7/18 Calculate prob of picking 2 o and 1 s when three letters picked without replacement from sfnsssnqqsfonso. 6/455 Three letters picked without replacement from pygyydgyppyg. What is prob of picking 1 y, 1 p, and 1 d? 3/44 What is prob of picking 1 q and 1 d when two letters picked without replacement from edqqq? 3/10 Two letters picked without replacement from innmjlnjivniml. Give prob of picking 1 j and 1 n. 8/91 What is prob of picking 2 j when two letters picked without replacement from {j: 4, y: 4, i: 8, v: 2, z: 1}? 2/57 Calculate prob of picking 2 t when two letters picked without replacement from {x: 3, t: 2, b: 1, d: 1}. 1/21 Four letters picked without replacement from syyysbbbybsyysbbyss. Give prob of picking 1 b, 1 y, and 2 s. 105/646 Three letters picked without replacement from {n: 1, q: 1, f: 3, r: 1, y: 1}. Give prob of picking 1 r, 1 f, and 1 q. 3/35 Two letters picked without replacement from {b: 2, n: 10, h: 3, i: 1}. What is prob of picking 2 h? 1/40 What is prob of picking 1 c and 1 a when two letters picked without replacement from jscsddka? 1/28 Three letters picked without replacement from {b: 1, j: 2, u: 1, t: 2, r: 2}. What is prob of picking 1 b, 1 u, and 1 j? 1/28 What is prob of picking 2 q and 1 r when three letters picked without replacement from {r: 2, q: 4}? 3/5 Calculate prob of picking 3 m when three letters picked without replacement from {m: 9, u: 3, e: 1, b: 1}. 3/13 Two letters picked without replacement from vwavamqmaa. Give prob of picking 1 q and 1 a. 4/45 Two lette
{ "pile_set_name": "DM Mathematics" }
m. 3 Let f(j) = j**3 + j**2 - 7*j - 3. Let a be f(-3). Solve a = m - b + 5, 2*m - b = -7 for m. -2 Let h be 8/36 - (-34)/9. Solve 0 = -h*b + 3*g - 11, 2*g + 8 = -5*b - 0 for b. -2 Suppose 2 + 10 = 6*c. Solve -3*u - 4*v + c = 0, 0*v - 4 = -u + 2*v for u. 2 Let v(m) = -2*m**2 - 17*m - 4. Let x be v(-8). Suppose -g = x*z + 5 + 10, 0 = 4*g - z - 25. Solve -g*q + p = -20, 3*q - 4*p = -q for q. 5 Let b = 3 + -3. Let s be (4/(-8) - -1)*4. Solve b = -s*n - 2*k - 0*k - 6, -5*k - 9 = 2*n for n. -2 Suppose 4*l = t - 5, 3*t - 57 + 14 = -2*l. Let m = -8 + t. Solve -3 = q + 2*g + 5, m*q + 22 = -g for q. -4 Let u(w) = -7*w + 52. Let r be u(7). Solve r*v + 32 - 11 = -3*c, -2*v - 16 = 3*c for v. -5 Let i be 296/104 - 4/(-26). Let l(h) = 3*h**2 - h + 1. Let z be l(2). Solve -5*g + 15 = -2*t, -g - 3*t - i = z for g. 1 Let n = 21 - 11. Suppose n = 11*z - 9*z. Solve -4*m - 5*c + 31 = 0, z = 2*m - 5*c + 12 for m. 4 Suppose 2*s + 4 = w - 0, 9 = 4*w - s. Let z = 21 - 18. Suppose 4*n - w*v = -6*v + 28, -18 = -z*n - 2*v. Solve -3*b - 14 = -g, b + n*b = g - 24 for g. -1 Suppose -2*m - 3*l = -9, -4*m - 4*l + 0*l = -16. Solve 2*a + 9 + 8 = -m*p, a + 1 = 0 for p. -5 Let h be (-12)/16*2*-12. Suppose 0 = -4*k + h + 10. Solve x + 0*l = -3*l - k, 3*x = 4*l + 31 for x. 5 Let n be (0 + 0)/((-20)/(-10)). Solve -3*y + n*p = -4*p - 28, -p = 3*y - 8 for y. 4 Let l be (-94)/(-18) - 4/18. Suppose 2*q - z = 22, -2*z = 4*q - 5*z - 48. Let n be (-3)/q + (-10)/(-3). Solve -3*w - 20 + 2 = -n*a, -l*a + 23 = 2*w for w. -1 Suppose -20 = -4*c, -3*m + 5*c = 8 + 5. Suppose 0 = -3*d + m*d - 2. Solve -d*g + u + 11 = 1, 5 = g + 2*u for g. 5 Suppose 0*j - 3*j - 5*f = -26, 5*j = -4*f + 39. Let y be (j/14)/((-2)/(-12)). Solve 36 = -y*w - w - 4*v, 0 = 4*w - v + 11 for w. -4 Let f(n) = n**3 + 3*n**2 - 6*n - 3. Let j be f(-4). Suppose 0 = -4*m + 7 + 17. Solve -3*z + c = -0 - m, 0 = -j*c for z. 2 Let q be ((-8)/(-10))/(2/5). Solve 4*m = w + 14, 4 + q = -5*w + 4*m for w. 2 Let b be 10/4 + (-3)/(-6). Suppose -2*k + 0*k + 16 = 3*o, -18 = -5*o + k. Suppose -3*v + 1 = o*d, 0*d = 2*v + b*d. Solve 3*j + 9 = -3*t, -v*t + 1 = -4*t for j. -2 Suppose -70 + 4 = -3*x. Solve -2*p - 4*q + x = 0, 4*p - 24 = p - 3*q for p. 5 Let k(u) = -u**2 + 14*u + 6. Let a be k(14). Let w = -4 - -7. Let n be 2*w*4/a. Solve n*h = 2*d - 3 - 1, d + 2*h + 6 = 0 for d. -2 Suppose 1 - 11 = -2*p, -1 = 3*u - 2*p. Solve 3*l - u*v = 3, -5*l - 4*v - 8 = 5 for l. -1 Let n = 41 + -26. Solve 15 = -3*b, 2*s - 3*b = -s + n for s. 0 Let w be 0*(-1 + (-2)/(-4)). Let m be (-454)/(-8) - (-3)/12. Suppose 5*k - m - 3 = 0. Solve k = 4*h + x, w = -h + 2*h + x - 6 for h. 2 Let j(g) = 19*g + 7. Let z be j(1). Let b be (-36)/(-10) + 2/5. Suppose -2*p + 4*p - b = 0. Solve p*t + z = 5*w + t, 0 = 5*w - 3*t - 28 for w. 5 Suppose l + 2*l = -s + 5, 4*l = 0. Let k(p) = -p**3 + 3*p**2 - 4*p + 2. Let h be k(1). Solve -x + b + 8 = h, -b = x - s*x + 17 for x. 3 Let d(y) = y + 2. Let g be d(2). Suppose g*s + 0*s + z = 81, 4*s = -4*z + 72. Solve a + 9 = 5*c, 4*c - s = 4*a - c for a. -4 Let r(h) = -h + 3. Let s be r(9). Let a(q) = -3 + 1 + 10 + q. Let u be a(s). Solve -u*b + 3 = -4*i + b, 5*b = 5*i for i. -3 Suppose -12 = -t + 2*l, 4*t - 8 = -2*l - 0*l. Solve 3*i + n - 6 = 6*n, 2*i = 4*n + t for i. 2 Suppose -3*g + 20 = g. Solve g*d - o - 23 = 0, -2*d + o - 2*o = -5 for d. 4 Let n(b) = 4*b - 16. Let r(q) = 9*q - 32. Let w(i) = -7*n(i) + 3*r(i). Let u be w(12). Solve -c - 4 = -5*x + x, 20 = 3*c + u*x for c. 4 Let v(t) = -7*t - 10. Let z be v(-3). Solve -z = -h - 2*g, -h + 3*g - 6*g + 14 = 0 for h. 5 Let r(q) = 4*q - 3. Let i be r(2). Suppose 15 + i = 5*w. Solve 2*v - 7*v = w*m + 29, 4*m + 9 = -v for v. -5 Suppose -5*u + 3*f + 40 = 0, 0 = 3*f - 2*f. Suppose 8 = 4*d - u. Suppose 4*z = 16 + d. Solve 3*m + 9 = -p, -m - p + z = 2*p for m. -4 Suppose n = -3*n + 14*n. Solve 3*y - 7*y - 3*i = -3, n = y + 2*i + 3 for y. 3 Suppose 0 = 4*h - 8, 5*y = -0*y - 4*h + 28. Suppose c - 2 = 2*k, 6 = y*c - k - 2. Suppose c*p = -p. Solve -3*i + p*l + 28 = 4*l, -4*i - 2*l + 24 = 0 for i. 4 Let j be 0/(-3 + 1 + 1). Suppose j*u + u - 2 = 0. Let g = u + -2. Solve g = -n - 5*k + 22, n - 3 + 1 = -k for n. -3 Let s(r) be the third derivative of r**5/60 - r**4/6 - r**3/3 + 2*r**2. Let q be s(5). Solve 4*n - 8 = q*d + 2*n, 5*d - 5*n = -20 for d. 0 Let o = 68 + -66. Solve 4*y - 2*l = 5*y + 9, -2*l + 6 = -o*y for y. -5 Let q be -2*(3 - (-20)/(-4)). Let n be q*(-6)/(-8) - 1. Solve 3*u = 3*d - 24, 0 = n*d - 2 - 6 for u. -4 Suppose 0*h + 12 = 4*h. Solve h*u = -3*l - 30, 4*l - 6*u + 4*u = -10 for l. -5 Suppose 4*f + m = 9, 3*m = -3*f - 0*m. Let l(s) = -4*s**2 + 0*s**3 + 3*s - 4*s**3 + 5*s**3. Let v be l(f). Solve -k + 2*c = 1, 0 = -v*k + 3*k + 2*c - 13 for k. 3 Let h = -9 - -13. Suppose -15 = -h*c + 93. Solve 0 = 5*o - 5*l + 2 + 8, 0 = -4*o - 3*l + c for o. 3 Let g be 3/5 - (-84)/35. Let j = 48 - 29. Solve x - 2*n + 5*n = j, n + 7 = g*x for x. 4 Let h be (3 + (-6)/(-2))*1. Solve 3*g - 20 = -4*a, -2*a + 2 + h = g for a. 2 Let c(x) = -11*x - 61. Let l be c(-6). Solve l*q - o = -4, -3*o - 9 = 5*q - 1 for q. -1 Suppose -i = -3*w + 2*i, 4*i - 16 = -4*w. Suppose -2*m + w = -m. Let k = m + 0. Solve 4*a + 28 = -4*v, 1 = 3*v - a + k for v. -2 Suppose 5*q + 5*a = 5, 1 = -3*q - 4*a - a. Suppose -q*u - 2*u + 25 = 0. Let j be u + (-2 + 3)*-3. Solve -2*l + j*w + 2 = 4*w, 2*w = -l + 5 for l. -3 Suppose 2*k - 4 = -0*k + 3*c, k + 3*c - 11 = 0. Let u(v) = -v - 16. Let b be u(-16). Solve -k*t - 3*d + 34 = b, -3*d + 5*d - 21 = -3*t for t. 5 Let y(x) = -2*x + 14. Let u be y(7). Solve -n - d - 6 = u, -d - 3 = 2*n + 4 for n. -1 Suppose 2*s - s = 4. Let f be 4/6 + (-37)/(-3). Solve u - 19 = s*y, -3*u + f = y - 2*y for y. -4 Let h(p) = p**2. Let o be h(-2). Let n = o + -4. Solve n = -4*d - 5*m + 45, 0*d - 2*m + 35 = 5*d for d. 5 Let s be -2 - (-6 + 0/3). Suppose -5*x - 3 = 2*a + a, 17 = 5*a + x. Solve -s*m + 22 = 3*h, a*h + 4*m = 6*m for h. 2 Suppose l + 4*l - 35 = 0. Let f = -4 + l. Solve 3*c + 7 = -4*x, -10 = 4*c - f*x - 34 for c. 3 Let j(x) = -x + 9. Let q be j(7). Suppose -43 = r + 3*p, q*r + 28 = r + 2*p. Let s = 63 + r. Solve -6 = c - 3, 0 = 5*k + 3*c + s for k. -4 Let a be 36/15 - (-14)/(-35). Solve -12 = 4*d + 4*o, -4*o + 2 = a*d + 10 for d. -2 Let h = -5 - -18. Suppose 3*p = -2*r + h, 4*r - 28 = -3*p - p. Let q be (45/(-30))/(2/(-4)). Solve 5*j - r = -n + q, 4 = j + 2*n for j. 2 Suppose 2*y - 62 = -6*b + b, 0 = -2*b - y + 25. Solve -3*n = k + b, -2*k + 3*k - 23 = 4*n for n. -5 Suppose -5*b = -b - 36. Suppose 2*p + p + b = 0. Let l = p + 5. Solve 0 = 5*y - 3*h - 21, l*y = 2*h - 3*h + 4 for y. 3 Let q(p) = 4*p**3 + p**2 - p. Let f be q(1). Solve -v - 3*k + 1 = 0, v - 4*k = f*v + 7 for v. -5 Let i = 5 - 5. Suppose i*w = 4*w. Suppose w = -2*y - y. Solve -5*c = -5, 2*c + y*c + 7 = -3*t for t. -3 Suppose 9*t + 25 = 4*t - 5*k, 2*t = -3*k - 9. Let z be ((-18)/(-15))/(t/(-15)). Solve -2*o - 2*r + 6 = 0, -z*r - 8 = -4*o - 5*r for o. 1 Let w = 1 + 9. Solve -5*i - b + 15 = 0, w - 1 = i - b for i. 4 Suppose 0 = -4*f - 0*f + 3*o + 5, 0 = 5*f - 2*o - 8. Let v be 7*1 + -3 + 3. Let w = v - f. Solve -2*l + w = z, 0*z - 5 = -l - z for l. 0 Suppose 4*s - 3 = 3*s. Let n be (6/24)/(2/16). Suppose n*z = -z. Solve z*w + 2*o = -4*w + 4, w - s*o + 6 = 0 for w. 0 Let u be -3*1/(-3)*-9. Let a = u - -32. Solve -3*r + 16 = -5*y, r - 4*y = 2*r + a for r. -3 Let p = -6 + 4. Let a = p + 2. Solve -t - 3*v - 6 = 0, 5*t + 3*v - 6 = -a*v for t. 3 Suppose 3 + 3 = -3*y + 3*a, 0 = -y - a + 2. Solve v - 4*q + 8 - 1 = y, -4*q = -4*v - 16 for v. -3 Let u be 12/(-18) + 2/3. Solve -2*c - x - 5 = u, c - 3*x = 4*c for c. -5 Let o be 8 + 1 + (-4)/2. Let u = 3 + o. Let w = u + -7. Solve 0 = w*y + 3 - 0, -8 = 3*k - y for k. -3 Suppose 5*l - l - 8 = 0. Let f be l/(-2)*1*-4. Solve -4*x + 3*o - 2*o + 25 = 0, -f*x + 30 = -2*o for x. 5 Suppose -4 - 21 = -5*a. Solve -2*u - a = -i, 4*u = -0*i + i - 9 for u. -2 Suppose 0*p - 10 = p - 5*x, 2*p + 2*x - 28 = 0. Solve 3*s - 5 = n, -s = 6*n - 4*n + p for s. 0 Let y = -8 + 10. Solve -y*p - 4*b = -18, -2*b = -4*p - 21 + 7 for p. -1 Suppose -12*q = -10*q + 2. Let r = 1 - q. Solve -4*w + 0*i = 3*i - 4, -w + r*i - 10 = 0 for w. -2 Let b(m) = 3*m - 7. Let f be b(5). Suppose f*v = 3*v + 10. Solve -4*g + 2*g = 2, v*r + 3*g + 1 = 0 for r. 1 Le
{ "pile_set_name": "DM Mathematics" }
+ 2 Find the second derivative of -k*m**4 - 1231*k*m - 2*k + 5947*m**4 + 65*m**2 - 6*m + 4 wrt m. -12*k*m**2 + 71364*m**2 + 130 What is the second derivative of a**5 + 24170*a**4 - 118668*a wrt a? 20*a**3 + 290040*a**2 What is the derivative of 6*w**2*y - 6740*w**2 + 4402*y**2 - 1 wrt y? 6*w**2 + 8804*y What is the first derivative of 15022*b*q**3 - 679611*b + 9*q**2 wrt q? 45066*b*q**2 + 18*q What is the first derivative of 2*n**3 + 3095*n**2 - 25*n - 90841 wrt n? 6*n**2 + 6190*n - 25 What is the first derivative of 168*p**3 + 9*p**2 - 2*p - 5544 wrt p? 504*p**2 + 18*p - 2 What is the third derivative of 896295*o**3*s**3 + 1324*o**3*s**2 + 6*o**3*s - 2*o**2*s**2 + 5*s wrt s? 5377770*o**3 What is the second derivative of -13*g**2*n*w - 26*g**2*n + g**2*w**3 - g**2*w - 3*g*n*w**3 - 10862*n*w**2 wrt g? -26*n*w - 52*n + 2*w**3 - 2*w What is the derivative of -110*h**2*u + h**2 - 21*h*u - 4*u + 187 wrt h? -220*h*u + 2*h - 21*u Find the third derivative of 163705*d**3*f*i**2 - 95916*d**2*f*i - 2*d**2*f - f*i**2 wrt d. 982230*f*i**2 What is the third derivative of -1058164*f**4 - 5628*f**2 + 26*f + 2 wrt f? -25395936*f What is the first derivative of -51796*m**4 - 212997 wrt m? -207184*m**3 Find the first derivative of 700865*m + 541459 wrt m. 700865 Differentiate -s**2 - 5460*s + 32419. -2*s - 5460 Find the first derivative of -3210907*g**2 - 3608269. -6421814*g What is the third derivative of -66936*h**3 - 536*h**2 + 36*h? -401616 What is the derivative of -108737*r**2 + 136770? -217474*r What is the third derivative of 48807*d**4 - 3*d**2 - 10178*d? 1171368*d Find the third derivative of -50*c**3*h**4 - 4*c**3*h**2 + 8*c**3*h - c**2*h**2 + 3*c*h**4 - 378*c*h**3 - 3*c + 6*h wrt h. -1200*c**3*h + 72*c*h - 2268*c Find the first derivative of 3*i**2*p*s - 5*i**2*p - 3*i**2*s + i*p*s + 106*i*s - 4*i - 25*p*s - 2*s wrt p. 3*i**2*s - 5*i**2 + i*s - 25*s What is the second derivative of -743*z**5 + 283*z**3 + 1391*z - 756? -14860*z**3 + 1698*z What is the third derivative of -113*x**5 - 1435206*x**2? -6780*x**2 Differentiate -759*b**2 - 213*b - 1292225 with respect to b. -1518*b - 213 Differentiate 2206*p**3*w**2 - 36*p**2*w**2 - 6516*w**2 - 3*w wrt p. 6618*p**2*w**2 - 72*p*w**2 What is the third derivative of -6*h**5 - h**4 - 164*h**3 + 3*h**2 - 7*h - 18 wrt h? -360*h**2 - 24*h - 984 Differentiate -5*n**3 + 22*n**2 + 2*n - 39573 wrt n. -15*n**2 + 44*n + 2 What is the second derivative of -15*g*j**2*y**3 - 1299*g*j**2*y - 606*g*j*y**3 - 2*g*y**2 - j*y**3 - j*y**2 + 4*y**2 wrt j? -30*g*y**3 - 2598*g*y Find the third derivative of -234018*i**4 + 379004*i**2 wrt i. -5616432*i What is the first derivative of -1554*k*s**2*t*w - 4*k*s*t*w - k*w + 214*s**2*t*w - 5*s*w - 14*t*w wrt k? -1554*s**2*t*w - 4*s*t*w - w What is the derivative of -115726*x + 41619 wrt x? -115726 What is the third derivative of 138789*j**3 + 2*j**2 - 204396? 832734 Differentiate 72013*p**3 - 37981. 216039*p**2 Find the second derivative of -26743*f*m*r**2 - 2*f*m*r - f*r**2 - 114457*f*r + 3*m*r**2 wrt r. -53486*f*m - 2*f + 6*m What is the third derivative of 10284*x**4 + x**3 - 5*x**2 + 2204*x - 4? 246816*x + 6 What is the derivative of -1016317*z - 1112537 wrt z? -1016317 What is the third derivative of -256*n*y**5 + n*y**2 + 64698*n*y + 37*y**6 wrt y? -15360*n*y**2 + 4440*y**3 Find the first derivative of -8*n*u*w**3 + 1172*n*u*w + 2*u*w**3 + u*w + 2*u - 67 wrt n. -8*u*w**3 + 1172*u*w Find the second derivative of -4289*i**2*x**3 + 1570*i**2*x - 2*i*x - 22*x**4 + 2*x - 1 wrt x. -25734*i**2*x - 264*x**2 What is the second derivative of 6178*f**2*t**2 + 1028*f**2 - 20*f*t wrt t? 12356*f**2 What is the third derivative of -78*i*s*t**3 - 4*i*s*t*z - 2*i*t**4*z - 7*i*t**2*z + i*t**2 + 8*i + 6*s*t**2 - 59*t**4*z wrt t? -468*i*s - 48*i*t*z - 1416*t*z Differentiate 105661*r**2 - 29473 wrt r. 211322*r What is the third derivative of -l**3*u**2 + 5*l**3*y**3 + 6*l**3*y**2 + 7*l**2*u**2*y**2 + 6*l*u*y + 8006*u**2*y**3 + 2*u**2*y**2 wrt y? 30*l**3 + 48036*u**2 Differentiate -88976*o**3*p + 2*o**2*p + 100*p + 5882 with respect to o. -266928*o**2*p + 4*o*p What is the derivative of l**2*s*w - 2*l**2*w + 25*l**2 + 7159*l*s*w - 51*l*s + 4*s wrt w? l**2*s - 2*l**2 + 7159*l*s What is the third derivative of 3070*f**6 + 38*f**3 + 22*f**2 + 4*f + 976? 368400*f**3 + 228 Find the second derivative of 76081*h**3 - 8*h**2*w + 136*h*w - 602*w wrt h. 456486*h - 16*w What is the third derivative of -793870*c**6 - 30*c**2 + 9782? -95264400*c**3 Differentiate 3880849*k - 4446397. 3880849 What is the third derivative of -2*k*l*y**3 + 8*k*y**3 - 5*k*y - 1302*l*y**5 - 3*l*y**2 - 636*l*y - 7*y**2 - 2*y wrt y? -12*k*l + 48*k - 78120*l*y**2 Find the third derivative of 7*d**3*n**3*s - 2*d**3*n*s + 37*d**3*n - 5381*d*n**3 - 2*d*n**2*s - 97*d*n*s - 3*d*s - 7*n**3*s - 2*s wrt n. 42*d**3*s - 32286*d - 42*s What is the third derivative of -138*k**4*n**2 + 42*k**4 - 13813*k**2 - n**2 wrt k? -3312*k*n**2 + 1008*k What is the third derivative of -4499*b**5 - 2*b**4 + 2*b**3 + 301*b**2 - 18*b? -269940*b**2 - 48*b + 12 What is the third derivative of 1565623*a**3*m - 25*a**2*m + 4583*a wrt a? 9393738*m What is the derivative of -2*q**4 - 3*q**3 + 13*q**2 + 3316*q + 41348? -8*q**3 - 9*q**2 + 26*q + 3316 What is the second derivative of 97*m*x**2 - 7639*m - 329*x**2 - x wrt x? 194*m - 658 Find the first derivative of -12*p**3 + 19*p**2 + 6*p - 36844. -36*p**2 + 38*p + 6 What is the second derivative of 2217502*t**2 - 57500*t - 8? 4435004 Find the second derivative of -2522*c**4 + 7*c**3*r**2 + 66*c*r**2 - 157*c*r + r**2 wrt c. -30264*c**2 + 42*c*r**2 Find the third derivative of -1617182*n**3 - n**2 - 142502*n - 4 wrt n. -9703092 What is the second derivative of 3535*d**4*p - 115*d**3*p**2 - 4*d*p**2 + 68568*d + p**2 wrt d? 42420*d**2*p - 690*d*p**2 What is the derivative of 3558894*g - 1511426? 3558894 Find the third derivative of -885459*g**3 - 2*g**2 + 12*g - 1478 wrt g. -5312754 What is the second derivative of -70581*p**4 - 15823*p? -846972*p**2 What is the third derivative of -247100*v**3 - 5*v**2 + 32*v - 131? -1482600 What is the second derivative of -9*b**3 - 39322*b**2 - 471867*b wrt b? -54*b - 78644 Find the third derivative of 10107*m*p**4*z - 2*m*p**3*z + m*p**2 + 15*m*p - 39*m*z - p**4*z - p**2*z wrt p. 242568*m*p*z - 12*m*z - 24*p*z Find the third derivative of 16438*p**2*s**3*w**2 + 15*p**2*s**2*w**2 + p**2*s*w**2 - p**2*s*w - 28*p*s**3*w**2 + p*s**2*w**2 + 3*p*s**2*w + 300*s*w**2 wrt s. 98628*p**2*w**2 - 168*p*w**2 What is the third derivative of -1618*f**3*m*r**2 - 20*f**3*r**2 - 4*f**3*r + f**2*m*r + 28*f**2*r**2 + 32*f**2*r - 2*f*r**2 - 3*m*r**2 wrt f? -9708*m*r**2 - 120*r**2 - 24*r Find the first derivative of 45020*b - 62795. 45020 Differentiate 25*a**3 - 6246*a + 282379. 75*a**2 - 6246 Find the second derivative of -68*i**2*m**3*t + 138*i**2*m**2*t + 183*i*m*t - 2*m**3*t + 4*m**3 - 2*m*t wrt i. -136*m**3*t + 276*m**2*t Find the second derivative of 3241*a**5 + 2*a**3 - 2*a**2 + 298*a - 8. 64820*a**3 + 12*a - 4 Find the second derivative of -29435*z**5 + 2*z**2 + 967221*z. -588700*z**3 + 4 Find the second derivative of 222511*t**2 - 212562*t. 445022 What is the third derivative of 363*h**4 - 1476*h**3*x**2 - 4*h**2*x - 10*h*x - 11*x**2 + 15*x wrt h? 8712*h - 8856*x**2 Find the second derivative of -f*j**2 + 8*f*j + 3*f + 45676*j**3 + 6*j**2 - 30*j + 227 wrt j. -2*f + 274056*j + 12 What is the third derivative of -16838*v**3 - 5*v**2 + 1314*v wrt v? -101028 What is the third derivative of 1093*s**3 - s**2 + 12*s - 6 wrt s? 6558 What is the first derivative of h**3*u - 3*h**3 - 3*h**2*u + 3701*u - 864 wrt u? h**3 - 3*h**2 + 3701 Find the third derivative of -53587*f**3*x + f**3 + 2*f**2 - 45914*f*x wrt f. -321522*x + 6 Find the third derivative of -29670*r**4 + 70583*r**2. -712080*r What is the first derivative of 55*c**4 + 1375*c**3 - 661807? 220*c**3 + 4125*c**2 Find the third derivative of 2*v**4 - 2971*v**3 + 2936*v**2 - 2*v - 3 wrt v. 48*v - 17826 What is the second derivative of 5*k**4 - 66437*k**3 + k - 80140? 60*k**2 - 398622*k Find the third derivative of j**6 + 1855*j**5 + 3*j**4 - 23463*j**2 - 2*j. 120*j**3 + 111300*j**2 + 72*j What is the derivative of 341569*a - 244951? 341569 What is the third
{ "pile_set_name": "DM Mathematics" }
- i - o, 51 = 5*d - 3*i. What is the units digit of d? 2 Suppose 30 = -j - 18. Let h = j + 27. Let s = h - -34. What is the tens digit of s? 1 Let o(c) = c**2 - 14*c - 9. Let u be o(15). Suppose 0 = u*f - f + 3*k - 29, 2*f + k = 11. What is the units digit of f? 4 Let l = -1 + 1. Suppose l = -8*k + 3*k + 15. What is the units digit of 4/6*(0 + k)? 2 Suppose -1 = -f + 3. Suppose -f*r + 0*r = 12. What is the units digit of 0/r + (1 - -5)? 6 Suppose -5*l - 181 = 324. Let d be l/(-5) + 1/(-5). Suppose 4*x = d, -5*x + 23 = a - 3. What is the units digit of a? 1 Let g be (-8)/(-3)*75/(-20). Let s = g - -9. What is the tens digit of (8/s)/(5/(-10))? 1 Suppose 13*a - 223 = 2338. What is the units digit of a? 7 Suppose -3*v + 7*v - 208 = 0. What is the tens digit of v? 5 Let b = 35 - 27. What is the units digit of b? 8 Let m be ((-4)/12)/(1/(-12)). Suppose 0*c = c - m. What is the units digit of c/(-14) - (-16)/7? 2 Suppose 8*t - 3*t = 60. Suppose a + a = t. Let b = -5 + a. What is the units digit of b? 1 Let l(c) = 5*c**3 + 25*c**2 - 14*c + 51. Let j(w) = -w**3 - 5*w**2 + 3*w - 10. Let t(m) = -11*j(m) - 2*l(m). What is the units digit of t(-6)? 2 Suppose -3*j + 44 = -70. What is the tens digit of j? 3 Let o be (-2)/(-7) - 6/21. Suppose o = -3*d + 15, 0*d - 6 = w - 2*d. Suppose -3*m + w*t = -32, 7 = 3*m - 3*t - 29. What is the tens digit of m? 1 Let t(p) be the first derivative of -1/2*p**2 - 1 + p**3 + 0*p. What is the units digit of t(1)? 2 Let h(w) = -w - 6*w - 5 + 2*w + 1. What is the units digit of h(-4)? 6 Let w = -11 - -14. What is the units digit of 0 + (-1)/(w/(-54))? 8 What is the units digit of 5808/80 + (-3)/5? 2 Let h = -22 - -39. Let p = h + -9. Suppose 1 - 2 = z, -4*b + p = -4*z. What is the units digit of b? 1 Suppose -3 - 12 = -3*m. Suppose -2*f + 0*f - 5*a + 75 = 0, f = m*a. What is the tens digit of f? 2 Suppose -24 = -2*r - l + 25, 0 = -l - 3. Let d = 25 - 10. Let o = r - d. What is the units digit of o? 1 Let n = 5 - 9. What is the tens digit of 8/3*(n - -10)? 1 Let t(v) = -v**3 - v**2 - 2*v - 3. What is the tens digit of t(-3)? 2 Let d = -6 + 37. Suppose -5*v = 6*q - q - 95, -4*v - 2*q + 82 = 0. Let j = d - v. What is the units digit of j? 9 Let c = 321 - 159. What is the tens digit of c? 6 Let z(f) = -f**2 + 9*f - 10. Let k be (-1)/(-5) - 68/(-10). Let x be z(k). Suppose -q + 13 = x*o, 0*q = -q - 2*o + 7. What is the units digit of q? 1 Let p = -70 - -109. What is the tens digit of p? 3 Suppose 5*m = 2*m + 12. Let c = m + -4. Suppose -x - 5*z = -7 - 6, c = -4*x - 2*z + 16. What is the units digit of x? 3 Suppose 68 = b - 177. What is the hundreds digit of b? 2 Let q be -2*1/(-3)*30. Let t(o) = o**2 + 7*o + 7. Let y be t(-6). Let f = q + y. What is the units digit of f? 1 Suppose -2*v + 12 = 2*v. Suppose -r + 11 = v. What is the units digit of r? 8 Suppose 160 = -3*i + 451. What is the tens digit of i? 9 Suppose -b + 0*b + 200 = 3*t, 2*t - 105 = 5*b. What is the tens digit of t? 6 Suppose -4*t - 4*q + 121 = q, 0 = -2*t - 4*q + 62. What is the units digit of t? 9 Suppose 3*g = -4*d - 34, 3*d = 3*g - 0*d + 6. Suppose 0*w - 5*t = -5*w - 5, 0 = -5*w - t + 1. What is the units digit of -1*(g - (0 + w))? 6 Suppose 2*y - 5*b = -9, y + b - 29 = -2*y. What is the units digit of y? 8 Let p be (-8)/(-6) + 2/(-6). Let t(q) = 60*q**2 + 2*q - 1. Let u be t(p). Suppose 5*s = 9 + u. What is the tens digit of s? 1 Suppose 3*k - 4*f - 86 = 0, 152 = 4*k - 0*k + 4*f. What is the units digit of k? 4 Let y = -2 - -6. Suppose x - y*x + 24 = 3*o, 3*x - 9 = 2*o. Suppose 3*t + 32 = 4*q + x*t, 0 = 3*q - 3*t - 24. What is the units digit of q? 8 Suppose -5*b + 426 + 239 = 0. What is the hundreds digit of b? 1 What is the units digit of 111 - (13 + -11 + -1 + -1)? 1 Suppose 0*k = -3*k - 51. Let x be (1 - 0 - k) + -2. What is the units digit of 9/4*x/6? 6 Suppose 11*t = 8*t + 126. What is the units digit of t? 2 Let b = -292 - -446. What is the tens digit of b? 5 Let f(v) be the first derivative of v**4/4 - 2*v**3/3 + 3*v**2/2 - 2*v + 2. What is the units digit of f(3)? 6 Let s be 1 + -2*2 + 3. Suppose 0*t - t + 24 = s. What is the units digit of t? 4 Suppose 4 = -4*g + 6*g. Suppose g*b + 2 - 14 = 0. Suppose -3*y = -b, 5*t - 4*y = -y + 54. What is the units digit of t? 2 Let t(s) = 5*s - 1. Let m = 12 + -9. What is the tens digit of t(m)? 1 Suppose -30 = -2*b + 2*p, -5*b + 2*p = -13 - 47. Let d = 14 - b. What is the units digit of d? 4 Let j(k) = 0 - 1 + 4 - k + 1. Let d be j(3). Let z(r) = 9*r - 1. What is the units digit of z(d)? 8 Let p(w) = 56*w - 2. What is the tens digit of p(1)? 5 What is the units digit of -2 + 5/1 + 3 + -3? 3 Suppose 2*a - 546 = -2*q, 6*q + 2*a = 2*q + 1100. What is the units digit of q? 7 Suppose n + d = 10, -3 = -n + 3*d - 9. Suppose -2*l = 0, 4*f + 0*l + 3*l = -16. Let w = n + f. What is the units digit of w? 2 Let g(s) = 2*s**2 + 5*s - 10. Suppose 2*c = -2*r - 18, -3*c - c - 6 = -r. What is the tens digit of g(r)? 3 Let g(b) be the second derivative of b**4/12 + b**3/6 + b**2/2 + 5*b. What is the tens digit of g(5)? 3 Let b = 63 - 38. What is the units digit of b? 5 Suppose 41 = 2*m + 15. Suppose 5*i + m + 23 = 4*r, 5*r + 4*i - 45 = 0. What is the units digit of r? 9 What is the tens digit of (-5)/(-10) + (-87)/(-6)? 1 Let l(f) = 3*f**2 - 8*f + 9. What is the tens digit of l(4)? 2 Let v = -111 + 221. What is the units digit of v? 0 Suppose -2*b - 18 = 5*o - 6*b, 4*o + 4 = -2*b. Let z = 13 + o. What is the tens digit of z? 1 Suppose -2*u + 6*u + 3*t = -23, 1 = -2*u - 5*t. What is the units digit of (u/(-2))/((-2)/(-2))? 4 Let r = -9 - -17. Let a(l) = -l**3 + 9*l**2 - 7*l. What is the units digit of a(r)? 8 Let d(a) = -2*a**2 - 1. Let p be d(1). What is the units digit of (-10)/(-2) + (-1 - p)? 7 Suppose 0 = -4*f + 2*t + 124, 142 = 6*f - f + 4*t. Let r = f + -19. What is the units digit of r? 1 Let s(w) = -15*w - 18. What is the hundreds digit of s(-8)? 1 Suppose j = -5*y + 357, 3*y + 3*j - 77 = 2*y. What is the tens digit of y? 7 Suppose -3*d + 17 = -2*w, 3*w - 11 = -3*d - w. Let j be 1*(5 + (-2)/2). Suppose -j*k - m + 19 = -5, d*k - 30 = m. What is the units digit of k? 6 Let m = 77 - 54. Suppose -5*g + 27 = -m. What is the units digit of 14/g - 4/10? 1 Let l(h) be the third derivative of h**5/60 - h**4/4 - h**3 + 6*h**2. What is the tens digit of l(9)? 2 Let q be 6/42 + (-13)/(-7). Suppose 2*v = l - 18 - q, 0 = -2*l - 3*v + 33. What is the tens digit of l? 1 Let g(u) = -3 + u - 2*u - 3. Let v be g(-6). Suppose y - 1 - 3 = v. What is the units digit of y? 4 Let z = 13 - 8. Let k(h) = 37*h**3 - h**2 + h. Let m be k(1). Suppose 5*g - 2*t = 84, 3*t = z*g - m - 44. What is the units digit of g? 8 Let i(j) = 3*j**3 + j + 2. Let u be i(-2). What is the units digit of (u/(-3 + 1))/2? 6 Let d = -58 - -180. What is the units digit of d? 2 Let y be (-1 + 2 + 0)*-11. Let g = 14 + y. What is the units digit of g? 3 Let j = -5 - -6. Let g be (-1 + j)/(-2 + 0). What is the units digit of (-10)/((g + 1)*-1)? 0 What is the tens digit of (-168)/(-3*(-12)/(-54))? 5 Let a be -16*((-6)/(-4) - 1). Let c be a/(-3)*(-3)/(-2). Suppose -2*j - 8 = -c*j. What is the units digit of j? 4 Let d be -3*3/(-3) - -2. Suppose 5*r - 4*c + 11 = 0, -3*c + d*c = r + 7. What is the units digit of r? 1 Let r be ((-8)/5)/(12/(-30)). Let w(b) = -b + r*b - b. What is the units digit of w(3)? 6 Let x(t) = t**3 - 5*t**2 + 5. Let h be x(5). Suppose -3*c = 4*q + q - 55, h*c + 3*q - 81 = 0. What is the tens digit of c? 1 What is the tens digit of (34 + 3 + 0)*1? 3 Suppose 3*m + x = -15, 5*m - 6 = 3*x - 17. What is the tens digit of 2/m - 58/(-4)? 1 What is the units digit of (-34)/(-51)*(-93)/(-2)? 1 Let l be -2*(3 + -2) + 6. Suppose -d + l*y + 9 = -7, 0 = -3*d + y + 70. Suppose -r - r = -c - d, c = 0. What is the units digit of r? 2 Let s = 96 - 29. What is the units digit of s? 7 Suppose -4*z + 6*g - 2*g = -176, -z + 59 = -4*g. What is the tens digit of z? 3 Suppose 4*a - 3*p - 6 = -p, 4*p = -a + 24. Let x = 26 - -7. Suppose a*r - x = r. What is the tens digit of r? 1 Let n(p) be the third derivative of p**4/24 + p**3 + p**2. Let b = -16 + 11. What is the units digit of n(b)? 1 Let z = -233 - -440. What is the tens digit of z? 0 Suppose 7*w = 2*w + 275. What is the tens
{ "pile_set_name": "DM Mathematics" }
4 + 32*sqrt(11) Simplify (sqrt(252)*-3 + 2)**2. -72*sqrt(7) + 2272 Simplify 2*(sqrt(11) + 1)*1 - (sqrt(165)/(sqrt(5) - sqrt(5)*-2))/sqrt(3). 2 + 5*sqrt(11)/3 Simplify (sqrt(6)/sqrt(2) + 0 + -2)**2. -4*sqrt(3) + 7 Simplify 0 + sqrt(2592). 36*sqrt(2) Simplify 6*-1*(sqrt(19) - (sqrt(19) + -1))**2. -6 Simplify (sqrt(2) + sqrt(128)/sqrt(4))**2 + (-2 + sqrt(2) + 0)**2. -4*sqrt(2) + 56 Simplify -2*sqrt(68) + -1 + sqrt(68) - sqrt(68). -4*sqrt(17) - 1 Simplify -6*(sqrt(20)/(2*sqrt(144)))**2. -5/24 Simplify 4*(sqrt(204)*-2 + sqrt(204))/sqrt(12)*3. -12*sqrt(17) Simplify (sqrt(102) - 6*sqrt(102)*5 - sqrt(102) - sqrt(102))/sqrt(6). -31*sqrt(17) Simplify ((-2*((sqrt(98) - sqrt(98)*1) + sqrt(98)) - sqrt(98))**2 - (-3 + (-1 + sqrt(98))**2 - sqrt(98))) + -4. 21*sqrt(2) + 782 Simplify (sqrt(56) - (sqrt(392)*2)/sqrt(7))/(sqrt(8) + sqrt(40)/sqrt(80)). -4*sqrt(7)/5 Simplify sqrt(72)/sqrt(4) - (sqrt(2)*-2 + 5). -5 + 5*sqrt(2) Simplify (sqrt(65) - sqrt(65)*4)/sqrt(5) - (sqrt(13) + 5 + -3). -4*sqrt(13) - 2 Simplify 5 + (((sqrt(132) - sqrt(132)*3*3) + sqrt(132))/sqrt(12))**2. 544 Simplify (-1*-5*sqrt(19) - sqrt(19)) + sqrt(19) + sqrt(209)/(sqrt(11) + sqrt(396)). 36*sqrt(19)/7 Simplify 3*(sqrt(7)*-2 + -5)*-6. 90 + 36*sqrt(7) Simplify -2*(2 + (1 + sqrt(147))*-5). 6 + 70*sqrt(3) Simplify (sqrt(320) + (sqrt(320) - (sqrt(320) - (sqrt(320) - (0 + sqrt(320))) - sqrt(320))**2))*-2. -32*sqrt(5) Simplify ((-1 + sqrt(1008) - sqrt(1008) - sqrt(1008))*-3)**2 + -2 + 1. 216*sqrt(7) + 9080 Simplify -1 + -1 + sqrt(11) + ((sqrt(132)*-1)/sqrt(12))**2. sqrt(11) + 9 Simplify (sqrt(7)*-1 + -4)*-3. 3*sqrt(7) + 12 Simplify (sqrt(540)/sqrt(4))/(2*sqrt(3)*2). 3*sqrt(5)/4 Simplify ((sqrt(156) + sqrt(156) + 1*sqrt(156))*-6)/sqrt(12). -18*sqrt(13) Simplify 0 + (sqrt(13) - (1 + sqrt(637))**2) + 2. -636 - 13*sqrt(13) Simplify (sqrt(17) - (sqrt(17) + sqrt(272)*1) - sqrt(17))*2. -10*sqrt(17) Simplify ((2*sqrt(77))/sqrt(11))**2 - (sqrt(252) + 1*sqrt(252) + sqrt(252)). -18*sqrt(7) + 28 Simplify 4 + 3 + sqrt(7) + (3*sqrt(175))**2. sqrt(7) + 1582 Simplify (sqrt(156) - (sqrt(156) - (sqrt(156) + 1*sqrt(156)*6)))/(-6*sqrt(432)). -7*sqrt(13)/36 Simplify ((sqrt(132) - (-3*-1*sqrt(132) - sqrt(132)))/(sqrt(36)/sqrt(3)*3))**2. 11/9 Simplify sqrt(78)/(sqrt(294) - (sqrt(294)*3 - sqrt(294)) - sqrt(6)). -sqrt(13)/8 Simplify ((sqrt(500) - ((sqrt(500) - (1 + sqrt(500))) + -5))*-6)**2. 4320*sqrt(5) + 19296 Simplify (sqrt(35)/(sqrt(7) + sqrt(70)/sqrt(90)))**2 + sqrt(30)/(sqrt(6) - (-5*1*sqrt(6) + sqrt(6))). sqrt(5)/5 + 45/16 Simplify (sqrt(102) + (sqrt(102) - sqrt(102)*2)*4)/sqrt(6). -3*sqrt(17) Simplify sqrt(209)/(-4*sqrt(99) + sqrt(11))*-4. 4*sqrt(19)/11 Simplify (5 + -4 + sqrt(1216) + 1*(sqrt(1216) - (-1 + sqrt(1216) - sqrt(1216))))**2. 64*sqrt(19) + 4868 Simplify ((sqrt(3)*2*1)**2 + -3)*-3. -27 Simplify (sqrt(432) + sqrt(432)*-1*3 + sqrt(432) + (5*sqrt(432)*2 - sqrt(432)) + sqrt(432))**2. 34992 Simplify (sqrt(304)*1 - (2 + sqrt(19))*-3)**2. 84*sqrt(19) + 967 Simplify ((1*sqrt(119)*2)/(sqrt(343)*-1 - sqrt(343)))**2. 17/49 Simplify 0 + (sqrt(99)/(-3*sqrt(729)))**2. 11/729 Simplify 4 + sqrt(252) + 2. 6 + 6*sqrt(7) Simplify (3 + sqrt(2) + -2)*5. 5 + 5*sqrt(2) Simplify -5 + (sqrt(11) + sqrt(11)*-2)**2 - (-5 + 1*sqrt(11))**2. -30 + 10*sqrt(11) Simplify (-1 + sqrt(98))*3 + (-1*(1 + sqrt(98) - sqrt(98)))**2. -2 + 21*sqrt(2) Simplify 5*(2 + 1 + sqrt(13) - (sqrt(130) - (sqrt(130)*-1 - sqrt(130)))/sqrt(10))**2. -60*sqrt(13) + 305 Simplify (sqrt(38)*1*-5)/(sqrt(6)/sqrt(3)*-3). 5*sqrt(19)/3 Simplify -5 + 2*sqrt(7) + 2*(sqrt(63) - sqrt(7))**2. 2*sqrt(7) + 51 Simplify (1*sqrt(114)*3)/sqrt(6). 3*sqrt(19) Simplify ((sqrt(130)*2*-6)/sqrt(10) + 1)**2. -24*sqrt(13) + 1873 Simplify ((2*sqrt(80)/sqrt(4))/(sqrt(1440) + sqrt(1440) + sqrt(1440)*-2 + sqrt(1440) + sqrt(1440)))**2 + 1. 73/72 Simplify ((-4*sqrt(70) + sqrt(70) - sqrt(70))/sqrt(2))/(sqrt(720) + (4*sqrt(720) - sqrt(720)) + sqrt(720)). -sqrt(7)/15 Simplify (-2 + 3*sqrt(76) + -2)**2. -48*sqrt(19) + 700 Simplify (sqrt(3600)*2 + sqrt(36))/(sqrt(48)/(sqrt(8)/sqrt(2))). 21*sqrt(3) Simplify ((-2*sqrt(78) - sqrt(78)) + sqrt(78) - sqrt(78))/sqrt(6) + sqrt(52)/(sqrt(12)/sqrt(3)). -2*sqrt(13) Simplify 0 + (sqrt(11) + 2 + 5)**2. 14*sqrt(11) + 60 Simplify -1 + (sqrt(19) + sqrt(114)/(sqrt(6)*-5) + sqrt(19) - sqrt(19))**2. 279/25 Simplify 2*(1*sqrt(833) + -2). -4 + 14*sqrt(17) Simplify 2*sqrt(1300)*-1 + sqrt(1300). -10*sqrt(13) Simplify (2*sqrt(98))**2 - sqrt(2) - (1*sqrt(6))/sqrt(3). -2*sqrt(2) + 392 Simplify (sqrt(11) + 3*(1 + sqrt(11)) + -5)**2. -16*sqrt(11) + 180 Simplify ((sqrt(304) + -2)*1)**2. -16*sqrt(19) + 308 Simplify (sqrt(12) + 1)**2 + -4. 4*sqrt(3) + 9 Simplify (sqrt(19) - (sqrt(1216) + sqrt(19))**2) + -1 + -3*(-3*sqrt(19) + sqrt(19)). -1540 + 7*sqrt(19) Simplify 5*(sqrt(72) + 1 + (sqrt(2) - sqrt(24)/(1*sqrt(12))))*6. 30 + 180*sqrt(2) Simplify -5 + ((1*sqrt(11) - sqrt(11))*2 - (sqrt(132)/sqrt(4))/sqrt(3))**2. 6 Simplify ((-1 + sqrt(2057) + sqrt(2057))*5)**2 + 5. -1100*sqrt(17) + 205730 Simplify -1 + sqrt(36)/(sqrt(12) - sqrt(12)*-2 - sqrt(12)) + sqrt(108)*1. -1 + 13*sqrt(3)/2 Simplify (sqrt(7) - ((2*sqrt(448) - sqrt(448))**2 + sqrt(448) + sqrt(448) - sqrt(448))) + 0 + sqrt(7) + (sqrt(63))**2 + 6*(1*sqrt(175))**2. -6*sqrt(7) + 665 Simplify sqrt(28)/(-2*sqrt(16)/sqrt(4)) + 2. -sqrt(7)/2 + 2 Simplify (sqrt(25)*-1*5)/(sqrt(405) - sqrt(405)*2) + 1. 1 + 5*sqrt(5)/9 Simplify sqrt(98) + (sqrt(98) + (sqrt(98) + 4 + sqrt(98) - sqrt(98)) + 0 + sqrt(98) - sqrt(98))**2. 119*sqrt(2) + 408 Simplify 3*(-3 + sqrt(19) + sqrt(19) + -2)*4. -60 + 24*sqrt(19) Simplify (5 + (1*sqrt(833) - sqrt(833)) + sqrt(51)/sqrt(3) + 5)**2. 20*sqrt(17) + 117 Simplify sqrt(35)/(sqrt(567)*-1)*1. -sqrt(5)/9 Simplify (sqrt(208)*5)**2 + (sqrt(39) - sqrt(156)/sqrt(4))/sqrt(3). 5200 Simplify (sqrt(396) - 6*(-2*sqrt(396) - sqrt(396))) + sqrt(396). 120*sqrt(11) Simplify (-6*(sqrt(300) - (2*sqrt(300) + 4)))**2. 2880*sqrt(3) + 11376 Simplify -1 + sqrt(52)/sqrt(4)*3. -1 + 3*sqrt(13) Simplify ((sqrt(468) - -2*sqrt(468)*2) + sqrt(468) + sqrt(468))**2. 22932 Simplify (-2*(sqrt(833) + sqrt(833)*1) - (-1 + (sqrt(833) - 1*sqrt(833))))**2. -56*sqrt(17) + 13329 Simplify (sqrt(720) + (sqrt(720) + (0 + sqrt(720) + -5 - sqrt(720)) - sqrt(720)) + -5)**2. -240*sqrt(5) + 820 Simplify (sqrt(99))**2*3 - -5*(sqrt(11) + sqrt(539)). 40*sqrt(11) + 297 Simplify ((sqrt(112) - (0 + sqrt(112)))*5 + -5)**2. 25 Simplify -1 + sqrt(75) - (-4 + sqrt(3) + -1 - sqrt(3)). 4 + 5*sqrt(3) Simplify (sqrt(1300)*4)**2*5. 104000 Simplify (2*(1 + sqrt(63)))**2 + -2. 24*sqrt(7) + 254 Simplify sqrt(76)/(sqrt(4)*-2) - 2*sqrt(1539). -37*sqrt(19)/2 Simplify ((sqrt(228)*-3 + sqrt(228))*-2 - sqrt(228) - sqrt(228))/(sqrt(48) + sqrt(48)*-3). -sqrt(19)/2 Simplify (sqrt(204)/(sqrt(4)*3) - sqrt(51))/(sqrt(3) - (sqrt(3) + sqrt(12)/sqrt(4)*2) - sqrt(3)). 2*sqrt(17)/9 Simplify -1*(sqrt(12) + sqrt(432)). -14*sqrt(3) Simplify (sqrt(171) + ((sqrt(171) + 2*sqrt(171))*-5 - sqrt(171)))/(sqrt(27)/(sqrt(9)/sqrt(3))). -15*sqrt(19) Simplify 1*(sqrt(8) + 5)**2 + -3. 20*sqrt(2) + 30 Simplify (sqrt(133)*2 + sqrt(133))/sqrt(7) + (sqrt(19) - ((sqrt(171)*-3 - sqrt(171)) + sqrt(171) - sqrt(171))/sqrt(9)). 8*sqrt(19) Simplify sqrt(52)/(6*(sqrt(4) + sqrt(16)/sqrt(4) - sqrt(4))). sqrt(13)/6 Simplify (3 + sqrt(80) + 2 + sqrt(45)*-2)**2. -20*sqrt(5) + 45 Simplify 3*((sqrt(2)*2)**2 + -5). 9 Simplify (sqrt(81)/(sqrt(3) + (sqrt(48) - sqrt(3))))/sqrt(9) - (-6*(sqrt(3) + 0) - (sqrt(6)/sqrt(2)*-4)**2). 25*sqrt(3)/4 + 48 Simplify (5*-4*3*sqrt(272))**2. 979200 Simplify sqrt(8)/(sqrt(4) + sqrt(12)/sqrt(3)) - sqrt(6)/(sqrt(3) + sqrt(12)). sqrt(2)/6 Simplify (2*-4*-5*(sqrt(175) + sqrt(175) + 0 + sqrt(175)))**2. 2520000 Simplify (-5*sqrt(275)*2)**2. 27500 Simplify (4 + ((sqrt(11) + (sqrt(44)/sqrt(4))**2)*6 - sqrt(11)))*-4. -280 - 20*sqrt(11) Simplify -5 + -4*-2*sqrt(11). -5 + 8*sqrt(11) Simplify sqrt(108) + 0 + 1. 1 + 6*sqrt(3) Simplify ((sqrt(120)/sqrt(3) + sqrt(40))*1)/((sqrt(72)*3)/sqrt(9)). 2*sqrt(5)/3 Simplify sqrt(864)/sqrt(8) + -4. -4 + 6*sqrt(3) Simplify (-1 + sqrt(1300) + 1)**2. 1300 Simplify -2 + (-2*sqrt(104)*-3)/sqrt(8). -2 + 6*sqrt(13) Simplify -3*(sqrt(684) + -3 - sqrt(684)). 9 Simplify (sqrt(125) + -2*(-1 + sqrt(125)) + sqrt(125) + sqrt(125))**2 + (sqrt(125)*-2 - sqrt(125)) + 2 + sqrt(125). 10*sqrt
{ "pile_set_name": "DM Mathematics" }
124874 and 551. 29 Calculate the greatest common divisor of 2561 and 2. 1 What is the greatest common factor of 2259990 and 540? 90 Calculate the greatest common divisor of 6622 and 172. 86 What is the highest common factor of 60453 and 3537? 27 What is the greatest common factor of 11571 and 8816? 551 What is the greatest common factor of 7464 and 48? 24 What is the highest common divisor of 14658130 and 115? 115 What is the greatest common divisor of 262565 and 1870? 85 Calculate the greatest common divisor of 884 and 39988. 52 Calculate the greatest common factor of 12286937 and 106. 53 What is the greatest common divisor of 2367 and 21210687? 2367 What is the highest common divisor of 43 and 614642? 43 What is the greatest common factor of 13455 and 90? 45 Calculate the highest common factor of 2025 and 127035. 135 Calculate the greatest common divisor of 79 and 2251. 1 What is the greatest common factor of 46230 and 69? 69 What is the highest common factor of 452439 and 351? 351 Calculate the greatest common divisor of 1034 and 7553370. 1034 What is the greatest common divisor of 44 and 987954? 22 What is the greatest common factor of 3512 and 568? 8 Calculate the greatest common divisor of 90 and 66465. 45 What is the greatest common factor of 252 and 84546? 126 What is the greatest common divisor of 80288 and 2912? 416 Calculate the greatest common divisor of 1221 and 555. 111 What is the greatest common divisor of 345316 and 12314? 262 Calculate the greatest common factor of 3256 and 21608. 296 Calculate the greatest common factor of 282 and 10481. 47 What is the highest common divisor of 23372 and 4? 4 Calculate the highest common divisor of 24 and 53576. 8 Calculate the highest common factor of 22833 and 14319. 387 Calculate the greatest common divisor of 72709 and 39. 13 Calculate the greatest common divisor of 94 and 1076582. 94 What is the greatest common divisor of 310297 and 221? 13 Calculate the highest common divisor of 72 and 27568. 8 Calculate the greatest common factor of 11750 and 1222. 94 Calculate the greatest common factor of 18 and 424287. 9 What is the highest common factor of 319824 and 32? 16 Calculate the greatest common divisor of 2900 and 3828. 116 What is the highest common factor of 41700 and 2950? 50 Calculate the highest common divisor of 513 and 486552. 57 Calculate the greatest common divisor of 321524 and 644. 28 What is the greatest common factor of 38144 and 212? 4 What is the greatest common divisor of 1072683 and 779? 779 Calculate the greatest common divisor of 112746 and 19. 19 What is the highest common factor of 54 and 258696? 18 What is the highest common factor of 6624 and 1335840? 2208 Calculate the greatest common divisor of 30 and 142965. 15 What is the highest common divisor of 1265 and 7475? 115 What is the greatest common divisor of 610 and 74470? 10 Calculate the greatest common divisor of 1420 and 17380. 20 Calculate the greatest common divisor of 58059 and 18. 9 Calculate the highest common divisor of 192 and 113856. 192 Calculate the greatest common factor of 396 and 1749. 33 What is the greatest common divisor of 9137126 and 527? 527 Calculate the highest common divisor of 4958 and 1998. 74 What is the greatest common divisor of 113 and 43? 1 Calculate the highest common factor of 2216734 and 78. 26 Calculate the highest common factor of 11682 and 1548. 18 What is the highest common divisor of 4927 and 82622? 379 What is the greatest common factor of 284704 and 217? 217 Calculate the greatest common divisor of 58432 and 35552. 352 Calculate the greatest common divisor of 14877 and 488737. 551 What is the highest common factor of 22172 and 72? 4 What is the greatest common divisor of 167374 and 318? 106 Calculate the highest common factor of 218425 and 100. 25 What is the greatest common factor of 191026 and 2742? 914 Calculate the greatest common factor of 64 and 723040. 32 Calculate the greatest common factor of 775 and 271025. 25 What is the highest common factor of 15 and 9084? 3 Calculate the highest common factor of 3344 and 6061. 209 Calculate the highest common divisor of 195 and 42855. 15 Calculate the greatest common divisor of 92 and 97267. 23 Calculate the highest common divisor of 25 and 39005. 5 Calculate the greatest common divisor of 20511 and 17649. 477 Calculate the highest common divisor of 235700 and 200. 100 What is the greatest common factor of 149184 and 432? 144 Calculate the greatest common factor of 70488 and 1177. 11 Calculate the greatest common divisor of 1330 and 2204. 38 Calculate the highest common factor of 559 and 1560. 13 Calculate the highest common divisor of 591 and 121549. 197 What is the highest common factor of 22 and 439802? 22 What is the greatest common divisor of 561035 and 40? 5 What is the greatest common divisor of 110424 and 473? 43 What is the highest common divisor of 1814 and 22? 2 What is the highest common factor of 23584 and 15840? 352 What is the highest common divisor of 66 and 34? 2 Calculate the highest common factor of 25893 and 49. 7 Calculate the greatest common divisor of 123684 and 220. 44 Calculate the greatest common factor of 187500 and 12. 12 What is the greatest common divisor of 66 and 150348? 66 Calculate the greatest common factor of 19737 and 1247817. 2193 What is the greatest common divisor of 378 and 2408? 14 Calculate the greatest common factor of 45 and 609. 3 Calculate the greatest common divisor of 522720 and 1782. 594 What is the highest common divisor of 22517 and 82236? 979 What is the greatest common factor of 477354 and 102? 6 Calculate the highest common divisor of 1544 and 13096. 8 Calculate the highest common divisor of 2323 and 3151. 23 What is the highest common divisor of 172 and 1009124? 172 Calculate the greatest common divisor of 1176 and 160944. 168 Calculate the greatest common factor of 6648 and 720. 24 Calculate the highest common divisor of 780 and 84600. 60 What is the highest common divisor of 6744 and 48? 24 What is the greatest common factor of 4150 and 15? 5 Calculate the highest common factor of 672 and 29736. 168 Calculate the greatest common divisor of 112 and 206248. 56 What is the highest common factor of 3388 and 3881801? 847 What is the highest common factor of 9959 and 345? 23 What is the greatest common factor of 1678510 and 530? 530 What is the greatest common divisor of 6896372 and 2982? 994 Calculate the greatest common factor of 718 and 150421. 359 Calculate the greatest common factor of 808 and 299364. 404 What is the greatest common divisor of 104363 and 3808? 119 Calculate the greatest common divisor of 95478 and 54. 6 What is the highest common factor of 37620 and 385? 55 Calculate the greatest common divisor of 4004469 and 63. 63 What is the highest common divisor of 1798 and 43413? 29 Calculate the greatest common factor of 3774216 and 12. 12 What is the highest common factor of 2244 and 6987? 51 Calculate the greatest common divisor of 37506 and 1386. 42 What is the greatest common factor of 169646 and 6886? 626 What is the greatest common divisor of 568 and 17892? 284 Calculate the greatest common divisor of 677034 and 522. 522 What is the highest common factor of 243420 and 30? 30 Calculate the greatest common divisor of 154438 and 74. 74 Calculate the highest common factor of 66742 and 78. 26 What is the greatest common divisor of 132 and 17754? 66 What is the greatest common divisor of 9 and 36681? 3 Calculate the highest common divisor of 51 and 58827. 3 Calculate the highest common divisor of 238 and 25041. 17 Calculate the greatest common divisor of 489758 and 426. 142 Calculate the highest common factor of 580 and 889140. 580 What is the highest common divisor of 994014 and 874? 46 What is the highest common factor of 10206 and 12096? 378 Calculate the highest common divisor of 4 and 34642. 2 What is the greatest common divisor of 2019173 and 127? 127 Calculate the greatest common divisor of 3317 and 38413. 107 Calculate the greatest common divisor of 762 and 213. 3 Calculate the greatest common factor of 7410 and 26980. 190 What is the greatest common factor of 89982 and 36? 18 What is the highest common factor of 1362 and 2250? 6 What is the highest
{ "pile_set_name": "DM Mathematics" }
? 0.0148 What is -90423.30362 rounded to the nearest 10? -90420 What is 55.82541466 rounded to three decimal places? 55.825 What is 116737.386 rounded to the nearest 10? 116740 What is -29.69072864 rounded to three decimal places? -29.691 Round -658266390 to the nearest one million. -658000000 What is 0.168714172 rounded to three dps? 0.169 Round 185005.49 to the nearest 1000. 185000 Round 54835601700 to the nearest one million. 54836000000 Round -261.859647 to the nearest ten. -260 What is 27.19674114 rounded to 0 decimal places? 27 What is 869.108489 rounded to one dp? 869.1 What is -3220.9986 rounded to the nearest 100? -3200 Round 0.0003544730959 to 6 decimal places. 0.000354 What is -0.03199507459 rounded to 4 decimal places? -0.032 What is -0.001196698057 rounded to six decimal places? -0.001197 What is -4.12306959 rounded to two dps? -4.12 Round -95046.5748 to the nearest ten. -95050 Round -346.32061 to one decimal place. -346.3 Round 32.855616 to the nearest integer. 33 Round -2777.15184 to the nearest integer. -2777 What is 0.00283460332 rounded to 4 decimal places? 0.0028 What is 3341.16658 rounded to the nearest 10? 3340 What is 0.000039135043 rounded to six decimal places? 0.000039 What is 0.478173324 rounded to four decimal places? 0.4782 What is -4812.3163 rounded to the nearest 1000? -5000 Round 8283.2186 to 0 decimal places. 8283 Round -0.13964627 to 2 decimal places. -0.14 Round 0.0538491999 to one dp. 0.1 Round -2.4827124 to two dps. -2.48 What is -0.007311095452 rounded to three decimal places? -0.007 Round -0.00124031736 to 6 dps. -0.00124 Round 8092107.618 to the nearest 100000. 8100000 Round 2678505.8 to the nearest 10000. 2680000 Round 2.5125406 to 2 dps. 2.51 Round 153.3498068 to 2 decimal places. 153.35 What is 15486200.9 rounded to the nearest 10000? 15490000 Round -40538.614 to the nearest 100. -40500 What is 589.38249 rounded to 0 decimal places? 589 Round 0.005412187519 to 5 dps. 0.00541 Round -39.48775382 to 2 dps. -39.49 Round -147822799.6 to the nearest one hundred thousand. -147800000 Round -2.739721 to 2 dps. -2.74 What is 170.98786 rounded to 2 decimal places? 170.99 What is -18752741.84 rounded to the nearest 100000? -18800000 What is 3.55936223 rounded to 2 dps? 3.56 What is 34.08719299 rounded to 1 decimal place? 34.1 What is 103431884 rounded to the nearest one hundred thousand? 103400000 What is -0.01092512177 rounded to 6 decimal places? -0.010925 Round -0.0000020531619 to 7 decimal places. -0.0000021 What is 35788.2164 rounded to the nearest 10? 35790 What is 0.0000642715571 rounded to six decimal places? 0.000064 Round 2461.116705 to zero dps. 2461 What is -1643801110.5 rounded to the nearest one million? -1644000000 What is 0.0001422502018 rounded to 5 decimal places? 0.00014 Round -0.0304922458 to 3 decimal places. -0.03 Round -54261.74 to the nearest 10. -54260 Round -16980646.8 to the nearest one million. -17000000 Round -4132826.33 to the nearest one hundred thousand. -4100000 Round 24346659 to the nearest one million. 24000000 Round -14101.7603 to the nearest 10. -14100 What is -789611.423 rounded to the nearest 10000? -790000 Round -0.000483341947 to 5 dps. -0.00048 What is -0.0000065883763 rounded to six decimal places? -0.000007 What is 20.35143049 rounded to zero dps? 20 Round 0.0209599328 to 2 decimal places. 0.02 Round -573.114962 to 0 decimal places. -573 What is -28336079.7 rounded to the nearest 1000000? -28000000 Round -0.0024617935 to 4 decimal places. -0.0025 Round 17817.2314 to the nearest one thousand. 18000 What is 137384.583 rounded to the nearest 100? 137400 What is -0.050680625 rounded to five dps? -0.05068 What is 0.00251786388 rounded to three dps? 0.003 What is 3217007.2 rounded to the nearest one hundred thousand? 3200000 Round 1247.61475 to the nearest 100. 1200 Round -0.00001996557795 to six decimal places. -0.00002 What is -10164.2198 rounded to the nearest 10? -10160 Round 0.00001291569403 to 7 decimal places. 0.0000129 What is -4399.557427 rounded to the nearest one hundred? -4400 Round -0.00055813243 to 7 decimal places. -0.0005581 Round 0.1151639 to 4 dps. 0.1152 Round 0.1440169 to 1 decimal place. 0.1 What is 9739521.347 rounded to the nearest 1000? 9740000 Round -0.275728988 to one dp. -0.3 What is -0.001419945319 rounded to four dps? -0.0014 Round -0.022072363 to 6 decimal places. -0.022072 What is 0.044127547 rounded to five decimal places? 0.04413 What is 23.756545 rounded to two dps? 23.76 Round 0.0145294062 to 3 dps. 0.015 What is 139263.077 rounded to the nearest one hundred? 139300 What is 0.0400004035 rounded to five decimal places? 0.04 Round 315113065 to the nearest 1000000. 315000000 Round 1.359692779 to four dps. 1.3597 Round -0.581696833 to 5 dps. -0.5817 What is -22700593530 rounded to the nearest one million? -22701000000 Round -461515183.5 to the nearest 10000. -461520000 What is -64370.1863 rounded to the nearest one hundred? -64400 What is -6957.12171 rounded to the nearest 1000? -7000 Round 19807509700 to the nearest one million. 19808000000 What is 3046.9325 rounded to the nearest 10? 3050 What is -56266350.8 rounded to the nearest 10000? -56270000 Round -346.0575617 to zero dps. -346 What is -21.0913274 rounded to three decimal places? -21.091 Round 3173.0013 to the nearest 1000. 3000 What is 50360.881 rounded to the nearest 10? 50360 What is -0.0253248665 rounded to 4 dps? -0.0253 Round -0.023482064 to 2 dps. -0.02 Round -67670.0607 to the nearest ten. -67670 What is 16946898.4 rounded to the nearest ten thousand? 16950000 Round 0.00107497338 to 5 dps. 0.00107 What is -2855630.17 rounded to the nearest one thousand? -2856000 Round -0.00128761047 to 5 decimal places. -0.00129 Round -731701.485 to the nearest one hundred. -731700 What is -2903.577777 rounded to the nearest 1000? -3000 Round 14443.21912 to 0 dps. 14443 What is -174031750 rounded to the nearest one million? -174000000 What is -1.130789831 rounded to the nearest integer? -1 What is 18624.45442 rounded to the nearest 100? 18600 Round 114296440 to the nearest 1000000. 114000000 Round -5769.61315 to 0 decimal places. -5770 What is -43343.121 rounded to the nearest 1000? -43000 Round 0.00652906045 to 4 decimal places. 0.0065 What is -672637.281 rounded to the nearest ten thousand? -670000 What is 0.0030615545 rounded to 5 decimal places? 0.00306 Round 113558807 to the nearest one million. 114000000 What is -74.4852101 rounded to 2 decimal places? -74.49 Round -0.00114800864 to 7 dps. -0.001148 What is -0.0001928483362 rounded to 5 dps? -0.00019 Round -0.002400990855 to 6 decimal places. -0.002401 Round -0.07712758739 to 6 decimal places. -0.077128 What is -1680.23884 rounded to the nearest one hundred? -1700 What is -17488.2281 rounded to the nearest ten? -17490 Round -0.0000560091783 to 7 decimal places. -0.000056 What is 0.00008872124 rounded to 5 dps? 0.00009 Round -7222.07 to the nearest 10. -7220 Round 1553.5165833 to the nearest 100. 1600 Round 4674821.2 to the nearest 1000. 4675000 Round 0.0000136282521 to six dps. 0.000014 What is -454816.64 rounded to the nearest 10000? -450000 Round 3768123.098 to the nearest one thousand. 3768000 Round -0.000008147816381 to six dps. -0.000008 Round -11683.54644 to the nearest 1000. -12000 Round -1.58452083 to one decimal place. -1.6 What is -0.112566489 rounded to 3 decimal places? -0.113 Round -0.223728452 to four dps. -0.2237 Round 845439.12 to the nearest 100. 845400 What is 0.0000978113865 rounded to 7 decimal places? 0.0000978 Round -101473.2175 to the nearest one thousand. -101000 What is 0.84117229 rounded to five decimal places? 0.84117 What is 0.00290262046 rounded to 4 dps? 0.0029 Round 0.000000316053873 to seven dps. 0.0000003 What is 2695534073 rounded to the nearest 100000? 2695500000 What is -0.0000229698116 rounded to seven dps? -0.000023 Round 0.0444267354 to 6 dps. 0.044427 What is -337203.89 rounded to the nearest one thousand? -337000 What is 13370245.8 rounded to the nearest 10000? 13370000 Round -9942130.52 to the nearest one hundred thousand. -9900000 Round -385039.822 to the nearest ten. -385040 Round 45546.459 to the nearest 100. 45500 What is -3644.304 rounded to the nearest ten? -3640 What is 0.0000289245294 ro
{ "pile_set_name": "DM Mathematics" }
-1921.6. Let p = o - w. Round p to the nearest ten. 60 Suppose -1824*o = -1834*o - 54290000. Round o to the nearest ten thousand. -5430000 Let j = 1182.8 + -1182.79942545. What is j rounded to four dps? 0.0006 Let k = 1431 - 1382.68. Let v = 23.18 - k. Let r = -24 - v. Round r to one dp. 1.1 Let s be (-27040)/(7 + 18886/(-6300) + (-4)/1). What is s rounded to the nearest 1000000? -12000000 Let n = -1978.083 - -1977. Let i = n - 373.617. Round i to the nearest ten. -370 Suppose -21 = -5*b - x, -2*b - 4*x = -6*b + 12. Suppose 0 = a - 3*w + 12, -a + 3*a - b = -w. Let u be 20/(-1 - a)*-406. Round u to the nearest one thousand. 8000 Let r = 362 - 358. Suppose -4*g - 3*f = 8383633 - 72423633, r*f + 64040000 = 4*g. Round g to the nearest 1000000. 16000000 Let l = 6261.0762 + -5723.075318. Let p = -538 + l. Round p to 4 decimal places. 0.0009 Let a(v) = -8*v - 3230. Suppose -19*p = -12*p. Let k be a(p). What is k rounded to the nearest 100? -3200 Let z = 637089 - 637093.042765. Let q = z - 271.980135. Let k = -276 - q. What is k rounded to 3 decimal places? 0.023 Let h = 2171.496 + 3.504. Let z = h - 2405.9. What is z rounded to the nearest 10? -230 Let w = -0.14618 + -1.79682. Round w to the nearest ten. 0 Let a = 285.3 - 239.208. What is a rounded to zero dps? 46 Let o = -424 - -445. Let u(s) = -8361*s + 181. Let f be u(o). Round f to the nearest 10000. -180000 Let o be (89*11)/(3/5331). Let p = o + -425359. Suppose -480676 - p = 5*w. Round w to the nearest ten thousand. -360000 Let c = -16 - -17.3. Let w = 87005 + -87003.70006. Let l = c - w. Round l to four decimal places. 0.0001 Let k(p) = p**3 - 12*p**2 - 15*p - 8. Let d be k(7). Let l = -997 - -55. Let w = d + l. Round w to the nearest one thousand. -1000 Let o = 7.3771 + -7.37675417. What is o rounded to five dps? 0.00035 Let z = -37.776 - -38. Let t = 55.376 - 79. Let b = t + z. Round b to zero decimal places. -23 Suppose 5*m = m + 24. Let t(s) = 593*s**3 + 13*s**2 - 25*s - 6. Let u be t(m). What is u rounded to the nearest ten thousand? 130000 Let w = 1336.775 + -2.775. Let j = 2852.23836438 + -1518.23835617. Let o = w - j. Round o to 7 decimal places. -0.0000082 Let q = -39 + 43. Let a(z) = z**3 + 6*z - 3*z**3 - 8*z + q + 15*z**2 + 1. Let x be a(-7). Round x to the nearest one thousand. 1000 Let c = 552.00999896828 - 552.01. What is c rounded to seven dps? -0.000001 Let q be 64986014/2 + (((-3024)/12)/(-18))/(-2). What is q rounded to the nearest 100000? 32500000 Suppose m + 4 + 9 = 12. Suppose 0 = 3*x - 0*x - 12. Let k be (-5 + x)*2 - (-233 - m). Round k to the nearest one hundred. 200 Let n = 17991.1265 + -17992. What is n rounded to one decimal place? -0.9 Let y = -49494.00082796 - -49494. Round y to 5 dps. -0.00083 Let s = -476803.0919 - 2.9081. Let m = s + 476806.0228227. Let l = 0.0228 - m. Round l to 6 decimal places. -0.000023 Let k(n) = -n**2 + 8*n + 19. Let p = 9 - -1. Let s be k(p). Let g be (-6)/(-8)*(s + 21) - -3. Round g to the nearest ten. 20 Let r = 360616302.89469174 - 360616319. Let d = r - 8.89468618. Let y = -25 - d. Round y to 7 decimal places. -0.0000056 Let q = 1321147 - 3022247. What is q rounded to the nearest ten thousand? -1700000 Let w = 36969.0000061316 + -36969. What is w rounded to six dps? 0.000006 Let k(i) = -i**3 + 15*i**2 - 7*i - 2. Suppose -6 + 2 = 2*r, -r - 14 = s. Let z be k(s). Round z to the nearest 100. 4000 Suppose -5*r - 15 = 0, 0 = 3*k + 5*r - r - 73053. Let f = -9865 + k. Suppose 5*d + 2*a = -f, 2880 = -d - a - 3*a. What is d rounded to the nearest one thousand? -3000 Let v = -43 - 2. Let d = v - 51. Let k = -95.99999887 - d. Round k to seven dps. 0.0000011 Let j = 30 + -42. Let u = j + -23. Let q = 34.999788 + u. Round q to 5 dps. -0.00021 Suppose -3*g + 20226 = -5*h + 717311, 4*h = 5*g + 1161778. What is g rounded to the nearest ten thousand? -230000 Suppose -5*g - 7777 = 2*k, 4*g - 13541 = 4*k + 1943. What is k rounded to the nearest 1000? -4000 Let q = -278.9 - 46.1. Let a = q - -325.000087. Round a to 5 dps. 0.00009 Let b = -498.013786 + 513.414. Let l = 3.4 - 18.8. Let a = b + l. Round a to 5 decimal places. 0.00021 Let b = 2159 + -2172.57. What is b rounded to 0 decimal places? -14 Let o(k) = -56*k**3 + 5*k**2 + 37*k + 14. Let d be o(-5). What is d rounded to the nearest 1000? 7000 Let p = -271 + 269.972. Let n = 0.6508 + p. Round n to two dps. -0.38 Suppose 2*y - 5*d = -6572794, -2*y - 5*d + 3535910 - 10108684 = 0. Let u be y/(-52) + (-48)/26 + 2. Round u to the nearest ten thousand. 60000 Suppose -3*h + 43*q + 1066188 = 47*q, -3*q - 9 = 0. What is h rounded to the nearest 10000? 360000 Let o = 0.4068166 - -3.113275. Let q = o - 3.52. Round q to 5 dps. 0.00009 Let w = -0.337 + -191.563. Let b = -200.95867 - 0.04133. Let p = b - w. What is p rounded to 0 decimal places? -9 Let a = 602 - 606.81. Let x = -4.80998754 - a. What is x rounded to 6 decimal places? 0.000012 Suppose -b + 5*b - 8 = 0, o = -b - 8. Let f be (-5676018)/(-60) + 3/o. What is f rounded to the nearest 10000? 90000 Let s(w) be the second derivative of -12941*w**3/6 + 56*w**2 - 2*w - 11. Let f be s(32). What is f rounded to the nearest ten thousand? -410000 Let k = 324 + -295. Let g = k - 29.000234. What is g rounded to 5 decimal places? -0.00023 Let i = -5034 - -5034.10924. What is i rounded to 2 decimal places? 0.11 Let i = 1180084 + -518384. Round i to the nearest 100000. 700000 Let q = 0.554 - -0.006. Let i = q + -44.56. Let t = 43.9925 + i. Round t to three dps. -0.008 Let c = 0.4329 - 0.432903692. Round c to seven decimal places. -0.0000037 Let q = -56.74 - -7.4. Round q to the nearest one hundred. 0 Let n(i) be the third derivative of -13999993*i**4/24 - i**3/2 - 8*i**2. Let g be n(1). Let b be -3 - 6*g/(-8). What is b rounded to the nearest 1000000? -11000000 Let g = -100443 - -100021.53. Let w = 418.94178 + 0.05822. Let x = g + w. Round x to 1 decimal place. -2.5 Let z = 0.027789 - 5.517989. What is z rounded to the nearest integer? -5 Let h = 145.700729 - 145.71. Round h to 4 dps. -0.0093 Let q = 0.03284 - -2.18966. Round q to 2 decimal places. 2.22 Let i = -0.115 - -0.154. Let u = -1418069.03900095 - -1418069. Let b = u + i. What is b rounded to 7 dps? -0.000001 Let g = -2380 - -2380.000000852. Round g to 6 decimal places. 0.000001 Let s(v) = 58835*v - 2735. Let y be s(41). Round y to the nearest ten thousand. 2410000 Let q = -0.25 + 7.45. Let c = q + 125.8. Let z = c - 132.867. What is z rounded to 2 dps? 0.13 Let a = 2.41119 + 35.58909. Let d = -37.967 + -0.033. Let h = d + a. What is h rounded to 4 dps? 0.0003 Let y = 25711.724 + -25772. Let r = y - -60. Let m = 0.276343 + r. What is m rounded to 4 decimal places? 0.0003 Let j = 543 + -47. Let o = 495.9334 - j. Round o to two dps. -0.07 Let j = -0.0385 - 0.1362. Round j to 2 decimal places. -0.17 Let s = 37.3 + 7.7. Let j = s - 44.76. Let a = 0.23999704 - j. Round a to 7 dps. -0.000003 Let g = 271.420458 + -262.4205. Let v = 13.23 + -4.23. Let o = v - g. Round o to five decimal places. 0.00004 Let o = -59 + 60.5. Let w = 0.48 - o. Let b = w - -1.0201125. Round b to 5 decimal places. 0.00011 Let b = -59227956 - -25661956. Let h be (-1 - (6 + -2))/((-13)/b). Round h to the nearest 100000. -12900000 Let f = 51.7743 + 0.2957. Let w = -51.7053 + f. What is w rounded to two decimal places? 0.36 Let y = 90.7492 - -0.0508. Let n = y + -90.7579. Let t = 0.042694 - n. What is t rounded to five decimal places? 0.00059 Let x = 3.666 - 3. Let t = -439 - -439.57. Let c = t - x. Round c to 2 decimal places. -0.1 Let w = 0.006136091 + -0.00611. What is w rounded to 6 dps? 0.000026 Let b = -11590.022838 + 11590. What is b rounded to three decimal places? -0.023 Let n(j) = j**3 + 12*j**2 + 14*j + 47. Let r be n(-11). Suppose 4*b + 4 = 0, 13*b - 5040001 = -t + r*b. Round t to the nearest one hundred thousand. 5000000 Let t = 19.4672816 - 41.3869418. Let a = t - -21.92. Round a to five decimal places. 0.00034 Let j = 5043.991431 + -5044. Round j to three decimal places. -0.009 Let p = 179 - 163. Suppose p*i = -80949 + 19829. Round i to the nearest one thousand. -4000 Let r = -4283 + 4283.00020616. Round r to 4 dps. 0.0002 Let u = -4012.8567 + 4011.2. What is u rounded to 2 decimal places? -1.66 Let r = 730654 - 357348. Let y
{ "pile_set_name": "DM Mathematics" }
-3*p + 2 = -4. Suppose -3*n + p*n + 10 = 0. Is -2 + (-5)/5 + n a multiple of 2? False Let r = 293 + 7. Let q = 434 - r. Is q a multiple of 17? False Let b = 49 + -49. Suppose -2*f = -b - 84. Is f even? True Let t(w) = -885*w + 125. Let k be t(-3). Suppose k = 1037*z - 1035*z. Does 24 divide z? False Let b(q) = -q**2 + q + 1. Let r(i) = 5*i**2 + 9*i - 34. Let l(t) = 4*b(t) + r(t). Does 10 divide l(7)? True Let l = -9346 - -9783. Does 2 divide l? False Let s(r) = 6*r + 54. Let x be (-5)/(-3)*(5 + -11 - -27). Suppose x = -7*h - 0*h. Is s(h) a multiple of 10? False Suppose 5*u - 7733 = -4*c, c + 288 - 290 = 0. Is 13 a factor of u? False Let a(r) = r**3 + 9*r**2 - 8*r + 19. Let x be a(-10). Let j be 4 - (x - (2 - 2)). Suppose 0 = -j*i + 6 + 4, -5*q - 5*i + 135 = 0. Is 5 a factor of q? True Let u = 8404 + -2180. Is u a multiple of 8? True Let a(x) = -x**2 + 13*x + 3. Let o be a(13). Suppose f + 5*t + 24 = 0, -4*f - 8 = f - o*t. Does 4 divide (f/((-12)/57))/1? False Let y(j) = 24 + 18*j - 19*j + 5*j. Suppose -2*z - 5 = -29. Is 36 a factor of y(z)? True Let n(u) = -119*u. Let o be n(-2). Suppose 33*c + 1345 = -4067. Let j = c + o. Does 21 divide j? False Let k(j) = -10*j - 237. Let z be k(-24). Let y(t) = 299*t + 38. Is 11 a factor of y(z)? True Let x = 257 + 567. Does 30 divide x? False Suppose -5*y - 3*d + 0*d = -2, -5*y - 4*d + 1 = 0. Suppose 0 = 5*s + 2*r - 227, -y = r - 2. Is 45 a factor of s? True Let x = -35 + 40. Suppose -5*v - x*g - 240 = 0, 2*v = -g - 140 + 46. Let f = -21 - v. Is f a multiple of 12? False Let n(d) = -d**3 + 37*d**2 + 49*d - 351. Is n(35) a multiple of 185? False Suppose 3*r - 4*o - 343 = 0, -4*r + 100 = o - 332. Let q = r + 129. Is 50 a factor of q? False Suppose 249293 = 19*a - 218278. Is 172 a factor of a? False Let f(m) = m**3 - 13*m**2 + 15*m + 9. Let k be f(11). Let g = 50 - k. Is g a multiple of 3? False Suppose -3*l = -131*k + 136*k - 13472, 13469 = 3*l + 2*k. Does 18 divide l? False Suppose -4*i + 5195 = x, 3*x - 3*i = x + 10445. Does 149 divide x? True Let z(v) = -2*v**3 - 40*v**2 + 34*v - 22. Let a(i) = i**3 + 20*i**2 - 17*i + 11. Let n(b) = 5*a(b) + 3*z(b). Is 2 a factor of n(-21)? False Suppose 204 = h + 11*h. Suppose h*x + 3 = 18*x. Suppose 0*d - x*k - 399 = -3*d, -d + 137 = -2*k. Is 43 a factor of d? True Suppose 0 = 2*k + 5*j - 20, 4*k + 12 = -0*k + 3*j. Suppose 12*a + 241 - 2833 = k. Is 72 a factor of a? True Let s(w) = -w + 13. Let r be s(9). Suppose -2*u - 380 = 5*a + 3*u, 0 = r*a + u + 301. Does 4 divide (-4)/8*1 - a/6? True Suppose -2749 - 2940 = -36*o + 5435. Is o a multiple of 3? True Suppose 2 = 6*g - 4. Let f(h) = 5*h + 1. Let a be f(g). Suppose -2*n - 560 = -a*n. Is n a multiple of 28? True Suppose 68428 = 3*h + 985*x - 987*x, 5*x = -25. Is 181 a factor of h? True Let o(q) = 6*q + 100. Let s be (-75)/(-6)*4/10*96. Let m be 4/(-30) + 64/s. Is 25 a factor of o(m)? True Suppose -h + 0*h = -k - 73, 0 = -3*k - 5*h - 203. Let l = 37 - k. Suppose -5*r = -l - 92. Does 11 divide r? False Let n(i) = 8*i + 128. Let h be 8/18 - (-6466)/477. Is n(h) a multiple of 20? True Let y be 2 - (4 + -8 - 0). Suppose 14*q = 15*q - y. Suppose 60 = q*p - 6. Is 11 a factor of p? True Let p(o) = 9 - 16*o + 36*o - 21*o. Let w be p(6). Suppose -10 = -w*u + 152. Is 9 a factor of u? True Is (-25)/(-175) + (-98446)/(-14) a multiple of 12? True Let v(q) = -15*q + 8. Let z be v(-2). Let i be (z*2)/(-4 + (-190)/(-45)). Suppose 0*o - 2*g = -4*o + 458, 3*o - i = 2*g. Is 21 a factor of o? False Suppose 0 = -100*h + 99*h + 2*r + 15408, -138672 = -9*h - 3*r. Is h a multiple of 144? True Let m be (-2 - (-192)/9)/(6/(-18)). Let b = 37 + m. Is 5 a factor of ((-112)/b)/(4/18)? False Let v = 106 + 159. Suppose 0 = -4*u + 397 - v. Is 11 a factor of u? True Let y(h) = -13*h**2 - 5 - 9*h + 15*h + 12*h**2. Does 4 divide y(3)? True Let z(b) = 1274*b**2 + 18*b - 17. Let y = 133 + -132. Does 25 divide z(y)? True Suppose 13776 = -78*a + 99*a. Is a a multiple of 164? True Let a(h) = -h**3 - 22*h**2 + 2*h - 54. Let u be a(-22). Is (19/2)/(581/u + 6) a multiple of 19? True Let l(k) be the third derivative of 121*k**4/24 + 46*k**3/3 - 30*k**2. Does 16 divide l(4)? True Let b(s) = -s**3 - 10*s**2 - 11*s - 13. Let n be b(-9). Suppose 2*f = -w + 178, 3*w - n*f - 584 = -f. Does 14 divide w? False Does 55 divide 53904/7 - ((-48)/84)/(-1)? True Let n = -59 + 101. Suppose -2*z - 5*m + n - 2 = 0, 2*z - m - 16 = 0. Does 10 divide (-39)/65 - (-1726)/z? False Let h be 6 - (3 + 4) - -35. Let r = 39 + h. Is 6 a factor of r? False Suppose -319 + 85 = -3*s + 3*m, -2*s - 2*m = -136. Let h = 479 + s. Does 23 divide h? True Let o(v) = -v**3 + v**2 + 22*v + 15. Let t be o(5). Suppose 0 = -3*k - 19 + t, -3*w - 5*k + 1540 = 0. Does 17 divide w? True Let u = 1053 - 1034. Suppose 3798 + 5322 = u*b. Is b a multiple of 30? True Is 5 a factor of 24/(-60)*(-36940)/8? False Let n be 37/74*10*1. Suppose -31*a - 2*o = -32*a + 360, -5*a + 1825 = -n*o. Does 27 divide a? False Suppose -60*t + 641223 + 1809330 = 587013. Does 9 divide t? True Suppose 0 = 5*p - 244 - 186. Let k = -55 + p. Is k a multiple of 6? False Let k be (-10)/3*(-36)/30. Suppose 2*o - 6 = -0*o + w, -5*o - 2*w + 6 = 0. Suppose 4 = o*j, -k*v = v + 4*j - 388. Does 10 divide v? False Suppose -4*q + 24 = 4. Let x be (2/6)/(q*(-6)/(-540)). Does 23 divide ((x - 11)/5)/(2/(-368))? True Let q = -20 + -41. Let b = -57 - q. Suppose 7 = -b*g - 9, 0 = y + 5*g - 20. Is y a multiple of 13? False Let j = 5705 + 4771. Does 54 divide j? True Suppose m = -4*m - 40. Let o(y) = -y**3 + 12*y**2 - 30*y - 15. Let s be o(8). Is -30*((-12)/m - (3 - s)) a multiple of 9? False Let j = -31 - -34. Let c(b) = j*b**2 + 3 + 0*b - 14 - b. Is 9 a factor of c(5)? False Let i(z) = 29*z - 57. Let h(t) = 15*t - 29. Let y(w) = 13*h(w) - 6*i(w). Let v be y(9). Let x = v - 100. Is x a multiple of 9? True Let a be (-4)/(-4*(-2)/68). Let d(t) = 3*t**3 - 22*t**2 + 12*t - 31. Let m be d(7). Let h = m - a. Is 14 a factor of h? False Let u be 1/3 - ((-19346)/6)/17. Suppose i - 11*i = -u. Is i a multiple of 7? False Let l = 86 + -15. Suppose -2*j - 306 = 6*i - i, 3*j = -5*i - 309. Let s = l + i. Is s a multiple of 3? False Let a = -102 - -104. Suppose -g + 29 = -4*l, 5*l + 15 - 34 = -a*g. Does 6 divide (-292 - g)*1/(-3)? False Is 67 a factor of -9 - 5254580/(-110) - ((-90)/22 + 4)? False Let z(f) = f**2 + 21*f + 101. Let g be z(-14). Suppose -4 = 10*u - 9*u, 557 = g*q + u. Is q even? False Is 33484/33 + 1 + (-4)/6 a multiple of 29? True Suppose 4*g - 4*o - 958 - 1186 = 0, -4*g + 3*o + 2148 = 0. Suppose 0 = -10*f + 20*f - g. Is 5 a factor of f? False Let x(n) = -13*n - 25. Let u be x(-4). Let a be (-16)/(-9) - (-6)/u. Suppose 0*q - a*q + 440 = 0. Is 36 a factor of q? False Let s = -466 - -468. Suppose s*o + 1115 = p + 5*o, -2*o = 5*p - 5640. Is p a multiple of 30? False Let g(u) be the second derivative of u**5/20 - 7*u**4/12 - 8*u**3/3 + 57*u**2/2 + 13*u - 6. Does 19 divide g(10)? False Let f be 10/2 - (1 - -2). Let w be (-148)/112*-4 + f/(-7). Suppose -w*r = 4*d + d - 90, 0 = 5*r. Does 12 divide d? False Let f = 1333 - 720. Suppose -6*d = -f + 121. Suppose 0*k + 283 = 4*m - 5*k, 0 = -m - k + d. Does 7 divide m? True Let f = 101 + -71. Let i be 7 + f + (-2 - 2). Suppose 552 = -29*w + i*w. Is w a multiple of 46? True Suppose 2*x - 4*i - 84 = -0*x, 3*i - 197 = -5*x. Let u(a) = -3*a**2 + 3*a - 940. Let j be u(0). Is j/(-6) - x/60 a multiple of 12? True Suppose -8*k = -78 - 4490. Suppose -23*m + k = 4*f - 20*m, 4*f - 595 = 5*m. Does 7 divide f? False Let g be (3/2)/(2/4). Let n(d) = 3*d**2 - 6*d**2 - 1 + 4*d**2 - 5080*d + 5080*d. Is n(g) a multiple of 7? False Let d be (-2)/(-3) - (-9)/((-54)/22). Does 38 divide (303 - (-25)/(-5)) + d? False Let j(b) = 27*b**2 + 1559*b - 122. Is j(-61) a multiple of 43? True Let n(y) be the first derivative of -y**4/4 + 28*y**3/3 - 44*y**2 - 61*y + 27. Does 4 divide n(23)? True Suppose 0 = 20*w - 19*w - 4. Let f be (w/(-6))/((-14)/(-21)). Is (-97)/(3 - 4) + f a multiple of 17? False Let w = -32 + 32. Suppose r - 2 + 6 = w. Is (-9)/(-4)*4 + r a multiple of 3? False Let h = -6355 - -6764. Is 3 a factor of h? False Let q(g) = 163*g - 2632. Is q(18) a multiple of 5? False Let n(r) = 4185*r + 6420. Is n(3) a multiple of 55? True Let j = 3
{ "pile_set_name": "DM Mathematics" }
? 0 What is the hundred thousands digit of 8285814? 2 What is the thousands digit of 7194090? 4 What is the hundreds digit of 666807? 8 What is the units digit of 201872? 2 What is the units digit of 1688572? 2 What is the hundred thousands digit of 385542? 3 What is the units digit of 185992? 2 What is the hundred thousands digit of 4916056? 9 What is the ten thousands digit of 54902? 5 What is the thousands digit of 22003? 2 What is the hundred thousands digit of 4148317? 1 What is the ten thousands digit of 1041700? 4 What is the thousands digit of 38493? 8 What is the ten thousands digit of 1934680? 3 What is the tens digit of 455092? 9 What is the units digit of 274805? 5 What is the hundreds digit of 308865? 8 What is the units digit of 175742? 2 What is the millions digit of 34915271? 4 What is the hundreds digit of 2771552? 5 What is the ten thousands digit of 40973? 4 What is the millions digit of 1331980? 1 What is the units digit of 346393? 3 What is the hundred thousands digit of 7232971? 2 What is the hundred thousands digit of 563049? 5 What is the units digit of 331005? 5 What is the thousands digit of 447656? 7 What is the tens digit of 207143? 4 What is the units digit of 9422005? 5 What is the thousands digit of 4563043? 3 What is the hundreds digit of 2949814? 8 What is the units digit of 6824157? 7 What is the tens digit of 7813941? 4 What is the tens digit of 93828? 2 What is the hundreds digit of 1419743? 7 What is the thousands digit of 3892738? 2 What is the hundreds digit of 10637315? 3 What is the hundreds digit of 5701393? 3 What is the units digit of 536929? 9 What is the ten thousands digit of 15030525? 3 What is the thousands digit of 256251? 6 What is the ten thousands digit of 450634? 5 What is the tens digit of 2610411? 1 What is the tens digit of 864619? 1 What is the hundred thousands digit of 558092? 5 What is the millions digit of 1066204? 1 What is the tens digit of 98982? 8 What is the hundreds digit of 14519421? 4 What is the ten thousands digit of 50259? 5 What is the units digit of 9421782? 2 What is the tens digit of 53390? 9 What is the hundreds digit of 24645213? 2 What is the units digit of 1199401? 1 What is the hundreds digit of 321698? 6 What is the thousands digit of 71427? 1 What is the hundred thousands digit of 1000515? 0 What is the hundreds digit of 513513? 5 What is the tens digit of 438? 3 What is the hundreds digit of 5471877? 8 What is the units digit of 133143? 3 What is the millions digit of 1417885? 1 What is the thousands digit of 18358147? 8 What is the units digit of 2228686? 6 What is the hundreds digit of 3424599? 5 What is the units digit of 98991? 1 What is the tens digit of 18228532? 3 What is the ten thousands digit of 263132? 6 What is the tens digit of 41941? 4 What is the hundred thousands digit of 2231226? 2 What is the hundred thousands digit of 2734664? 7 What is the thousands digit of 107260? 7 What is the ten thousands digit of 92912? 9 What is the ten thousands digit of 2042880? 4 What is the hundreds digit of 376715? 7 What is the units digit of 273315? 5 What is the millions digit of 2890934? 2 What is the hundreds digit of 84108? 1 What is the hundred thousands digit of 2599238? 5 What is the hundreds digit of 229426? 4 What is the units digit of 616764? 4 What is the hundreds digit of 617270? 2 What is the tens digit of 5659067? 6 What is the ten thousands digit of 8419438? 1 What is the ten thousands digit of 148543? 4 What is the hundred thousands digit of 895297? 8 What is the hundreds digit of 1303470? 4 What is the units digit of 149685? 5 What is the ten thousands digit of 27017291? 1 What is the tens digit of 2605171? 7 What is the ten thousands digit of 3664528? 6 What is the ten thousands digit of 3304398? 0 What is the hundreds digit of 368176? 1 What is the ten thousands digit of 32441? 3 What is the tens digit of 64509? 0 What is the tens digit of 706936? 3 What is the thousands digit of 7338099? 8 What is the thousands digit of 13061? 3 What is the units digit of 14356220? 0 What is the millions digit of 20874897? 0 What is the hundreds digit of 190628? 6 What is the ten thousands digit of 10941531? 4 What is the hundreds digit of 354483? 4 What is the units digit of 760893? 3 What is the units digit of 35107? 7 What is the hundred thousands digit of 4385875? 3 What is the thousands digit of 500309? 0 What is the ten thousands digit of 2145729? 4 What is the ten thousands digit of 82144? 8 What is the tens digit of 4120459? 5 What is the tens digit of 2739460? 6 What is the hundreds digit of 11420181? 1 What is the tens digit of 18258454? 5 What is the units digit of 5220676? 6 What is the thousands digit of 5362195? 2 What is the thousands digit of 182094? 2 What is the hundreds digit of 3134043? 0 What is the thousands digit of 33452891? 2 What is the thousands digit of 3802799? 2 What is the hundreds digit of 226522? 5 What is the ten thousands digit of 5172053? 7 What is the hundreds digit of 111262? 2 What is the ten millions digit of 24681319? 2 What is the tens digit of 1832662? 6 What is the millions digit of 9626547? 9 What is the ten thousands digit of 49497? 4 What is the ten thousands digit of 1307181? 0 What is the hundreds digit of 573800? 8 What is the ten thousands digit of 5591080? 9 What is the thousands digit of 269598? 9 What is the units digit of 7135? 5 What is the tens digit of 2187967? 6 What is the ten thousands digit of 11082802? 8 What is the hundreds digit of 14174780? 7 What is the millions digit of 24396239? 4 What is the tens digit of 12686697? 9 What is the ten thousands digit of 3259617? 5 What is the hundreds digit of 7537301? 3 What is the hundred thousands digit of 2317784? 3 What is the tens digit of 1448804? 0 What is the thousands digit of 38457? 8 What is the thousands digit of 869349? 9 What is the hundred thousands digit of 1225864? 2 What is the hundreds digit of 49422? 4 What is the thousands digit of 26031778? 1 What is the units digit of 7483437? 7 What is the thousands digit of 130726? 0 What is the ten thousands digit of 528851? 2 What is the tens digit of 823719? 1 What is the units digit of 8730314? 4 What is the hundreds digit of 985777? 7 What is the hundred thousands digit of 1508906? 5 What is the units digit of 854519? 9 What is the thousands digit of 1229596? 9 What is the hundred thousands digit of 1641321? 6 What is the hundred thousands digit of 12887193? 8 What is the units digit of 21576? 6 What is the hundred thousands digit of 126912? 1 What is the hundred thousands digit of 2704329? 7 What is the thousands digit of 71570? 1 What is the hundred thousands digit of 706974? 7 What is the ten thousands digit of 162582? 6 What is the hundred thousands digit of 127745? 1 What is the hundreds digit of 251118? 1 What is the ten thousands digit of 321797? 2 What is the ten thousands digit of 12640720? 4 What is the ten thousands digit of 538728? 3 What is the hundred thousands digit of 7777092? 7 What is the units digit of 9418644? 4 What is the hundred thousands digit of 219605? 2 What is the units digit of 504070? 0 What is the tens digit of 6505418? 1 What is the hundreds digit of 1076529? 5 What is the tens digit of 132764? 6 What is the tens digit of 2292703? 0 What is the millions digit of 2433254? 2 What is the millions digit of 5125654? 5 What is the millions digit of 1269259? 1 What is the hundred thousands digit of 581470? 5 What is the ten thousands digit of 232235? 3 What is the tens digit of 94389? 8 What is the ten thousands digit of 1587430? 8 What is the hundreds digit of 17822008? 0 What is the millions digit of 21290772? 1 What is the hundreds digit of 161233? 2 What is the ten thousands digit of 684023? 8 What is the hundreds digit of 28029479? 4 What is the hundred thousands digit of 110716? 1 What is the tens digit of 1816366? 6 What is the hundreds digit of 10892591? 5 What is the thousands digit of 16289329? 9 What is the thousands digit of 244897? 4 What is the units digit of 3915574? 4 What is the tens digit of 583552? 5 What is the hundreds digit of 122139? 1 What is the units digit of 86478? 8 What is the hundreds digit of 721985? 9 What is the ten thousands digit
{ "pile_set_name": "DM Mathematics" }
hat is the thousands digit of 2614? 2 What is the units digit of 638? 8 What is the units digit of 123302? 2 What is the tens digit of 74712? 1 What is the tens digit of 2160? 6 What is the tens digit of 39? 3 What is the tens digit of 60? 6 What is the thousands digit of 2809? 2 What is the hundreds digit of 1345? 3 What is the thousands digit of 2866? 2 What is the thousands digit of 13624? 3 What is the thousands digit of 123528? 3 What is the ten thousands digit of 12472? 1 What is the units digit of 20643? 3 What is the thousands digit of 2557? 2 What is the tens digit of 3096? 9 What is the thousands digit of 3166? 3 What is the hundreds digit of 97092? 0 What is the units digit of 1603? 3 What is the tens digit of 495? 9 What is the thousands digit of 108336? 8 What is the hundreds digit of 318? 3 What is the hundreds digit of 5671? 6 What is the ten thousands digit of 31003? 3 What is the ten thousands digit of 29306? 2 What is the units digit of 2830? 0 What is the hundreds digit of 1899? 8 What is the units digit of 1156? 6 What is the hundreds digit of 2880? 8 What is the units digit of 2216? 6 What is the ten thousands digit of 88112? 8 What is the thousands digit of 61751? 1 What is the hundreds digit of 443? 4 What is the tens digit of 1216? 1 What is the units digit of 57415? 5 What is the tens digit of 1030? 3 What is the hundreds digit of 126292? 2 What is the thousands digit of 37153? 7 What is the units digit of 28188? 8 What is the tens digit of 28342? 4 What is the hundreds digit of 3479? 4 What is the units digit of 220? 0 What is the ten thousands digit of 115885? 1 What is the hundreds digit of 12655? 6 What is the hundreds digit of 2772? 7 What is the hundreds digit of 3305? 3 What is the thousands digit of 2002? 2 What is the hundreds digit of 24331? 3 What is the tens digit of 56026? 2 What is the units digit of 15949? 9 What is the thousands digit of 1913? 1 What is the tens digit of 4391? 9 What is the units digit of 8360? 0 What is the tens digit of 13539? 3 What is the hundreds digit of 3929? 9 What is the hundreds digit of 399? 3 What is the hundreds digit of 688? 6 What is the units digit of 13674? 4 What is the units digit of 3782? 2 What is the tens digit of 9203? 0 What is the units digit of 1109? 9 What is the units digit of 511? 1 What is the hundreds digit of 25591? 5 What is the thousands digit of 10670? 0 What is the units digit of 1349? 9 What is the tens digit of 14197? 9 What is the units digit of 16065? 5 What is the units digit of 1132? 2 What is the hundreds digit of 164? 1 What is the thousands digit of 3735? 3 What is the thousands digit of 3616? 3 What is the units digit of 3186? 6 What is the tens digit of 8024? 2 What is the tens digit of 86832? 3 What is the tens digit of 3568? 6 What is the hundreds digit of 4330? 3 What is the tens digit of 570? 7 What is the hundreds digit of 1139? 1 What is the thousands digit of 50703? 0 What is the ten thousands digit of 86911? 8 What is the ten thousands digit of 120472? 2 What is the thousands digit of 22368? 2 What is the hundreds digit of 1126? 1 What is the tens digit of 1617? 1 What is the hundreds digit of 3213? 2 What is the units digit of 7160? 0 What is the ten thousands digit of 58629? 5 What is the thousands digit of 2108? 2 What is the tens digit of 1279? 7 What is the hundreds digit of 31605? 6 What is the thousands digit of 22163? 2 What is the tens digit of 125? 2 What is the tens digit of 3133? 3 What is the units digit of 188? 8 What is the tens digit of 3683? 8 What is the hundreds digit of 23383? 3 What is the tens digit of 8207? 0 What is the units digit of 6500? 0 What is the hundreds digit of 11463? 4 What is the units digit of 135629? 9 What is the hundreds digit of 1114? 1 What is the tens digit of 14490? 9 What is the hundreds digit of 448? 4 What is the hundreds digit of 3390? 3 What is the units digit of 628? 8 What is the units digit of 1088? 8 What is the tens digit of 401? 0 What is the ten thousands digit of 43142? 4 What is the thousands digit of 1508? 1 What is the units digit of 2813? 3 What is the hundreds digit of 1335? 3 What is the ten thousands digit of 116246? 1 What is the units digit of 35906? 6 What is the ten thousands digit of 16026? 1 What is the units digit of 2196? 6 What is the units digit of 23217? 7 What is the units digit of 2949? 9 What is the hundreds digit of 2105? 1 What is the tens digit of 5805? 0 What is the ten thousands digit of 50605? 5 What is the units digit of 14126? 6 What is the tens digit of 62299? 9 What is the thousands digit of 41270? 1 What is the hundreds digit of 9183? 1 What is the tens digit of 19740? 4 What is the hundreds digit of 8748? 7 What is the units digit of 308? 8 What is the tens digit of 34620? 2 What is the tens digit of 105? 0 What is the tens digit of 869? 6 What is the hundreds digit of 21808? 8 What is the tens digit of 538? 3 What is the units digit of 38478? 8 What is the hundreds digit of 210? 2 What is the units digit of 1360? 0 What is the thousands digit of 2026? 2 What is the ten thousands digit of 11497? 1 What is the ten thousands digit of 20246? 2 What is the units digit of 6664? 4 What is the hundreds digit of 9721? 7 What is the thousands digit of 10294? 0 What is the hundreds digit of 28488? 4 What is the thousands digit of 16236? 6 What is the tens digit of 278? 7 What is the hundreds digit of 1031? 0 What is the units digit of 61273? 3 What is the tens digit of 217? 1 What is the hundreds digit of 914? 9 What is the tens digit of 30476? 7 What is the units digit of 4307? 7 What is the tens digit of 1984? 8 What is the thousands digit of 32258? 2 What is the thousands digit of 8622? 8 What is the thousands digit of 1017? 1 What is the ten thousands digit of 21596? 2 What is the hundreds digit of 345? 3 What is the thousands digit of 2538? 2 What is the tens digit of 26? 2 What is the thousands digit of 6067? 6 What is the hundreds digit of 5584? 5 What is the thousands digit of 41643? 1 What is the tens digit of 606? 0 What is the ten thousands digit of 53051? 5 What is the thousands digit of 6027? 6 What is the units digit of 3394? 4 What is the ten thousands digit of 56696? 5 What is the units digit of 7329? 9 What is the tens digit of 14? 1 What is the ten thousands digit of 124808? 2 What is the tens digit of 123103? 0 What is the units digit of 607? 7 What is the thousands digit of 4270? 4 What is the thousands digit of 2813? 2 What is the hundreds digit of 66606? 6 What is the thousands digit of 2898? 2 What is the ten thousands digit of 31675? 3 What is the units digit of 10190? 0 What is the units digit of 225? 5 What is the tens digit of 1253? 5 What is the thousands digit of 11151? 1 What is the thousands digit of 2067? 2 What is the hundreds digit of 1461? 4 What is the tens digit of 31860? 6 What is the units digit of 452? 2 What is the hundreds digit of 506? 5 What is the hundreds digit of 1394? 3 What is the thousands digit of 27028? 7 What is the units digit of 2975? 5 What is the hundreds digit of 848? 8 What is the hundreds digit of 2165? 1 What is the hundreds digit of 1051? 0 What is the tens digit of 15375? 7 What is the units digit of 1926? 6 What is the tens digit of 514? 1 What is the units digit of 313? 3 What is the tens digit of 243? 4 What is the units digit of 5566? 6 What is the thousands digit of 2511? 2 What is the hundreds digit of 57641? 6 What is the tens digit of 81084? 8 What is the thousands digit of 140556? 0 What is the hundreds digit of 14206? 2 What is the tens digit of 4375? 7 What is the tens digit of 4444? 4 What is the units digit of 994? 4 What is the tens digit of 13799? 9 What is the hundreds digit of 1076? 0 What is the thousands digit of 6766? 6 What is the tens digit of 116210? 1 What is the hundreds digit of 502? 5 What is the thousands digit of 2463? 2 What is the units digit of 19974? 4 What is the ten thousands digit of 80603? 8 What is the ten thousands digit of 15841? 1 What is the tens digit of 4495? 9 What is the thousands digit of 63918? 3 What is the units digit of 17074? 4 What is the ten thousands digit of 184069? 8 What is the ten thousands digit of 27361? 2 What is the tens dig
{ "pile_set_name": "DM Mathematics" }
2 + 8*b + 3. Let w be v(-3). Let k = -4 - w. What is the remainder when (22 + -1)*4/6 is divided by k? 6 Suppose 3*k = -k - 16. Calculate the remainder when 2*k/8 + 34 is divided by 9. 6 Let a(v) = v**3 + 11*v**2 - v + 1. Let l(g) = g**2 - 10*g + 5. Let w be l(8). What is the remainder when 46 is divided by a(w)? 10 Let r(b) = -2*b**2 - 10*b + 2. Let h be r(-7). Let t = h - -76. What is the remainder when t is divided by 17? 16 Let h = -9 - -15. Suppose 2*r + 4 = h*r. What is the remainder when 3 is divided by r? 0 Suppose 4*b + 3 = 5*b. Calculate the remainder when b is divided by 1. 0 Calculate the remainder when 439/9 + (-8)/(-36) is divided by 10. 9 What is the remainder when (-23)/(-2)*(-10 + 12) is divided by 13? 10 Let m be ((-6)/(-4))/((-1)/(-4)). Suppose 5*s - m = 9. Calculate the remainder when 46/10 - (-2)/5 is divided by s. 2 Let s(m) = 45*m**3 - m**2. Let l be s(1). Let b = 5 + l. What is the remainder when b is divided by 17? 15 Suppose -10 = 35*g - 36*g. Calculate the remainder when g is divided by 6. 4 Suppose -5 = -o - 11. Calculate the remainder when -4*(-1)/(-2)*-19 is divided by (-4)/o + 37/3. 12 Suppose -s = 4*h - 9*h - 4, 3*s + h - 12 = 0. What is the remainder when s is divided by 1 - (2/(-1))/2? 0 Let u(y) = -2*y**2 + 9*y + 7. Let m be u(8). Let g = 72 + m. What is the remainder when g is divided by 8? 7 Suppose 20*g = 7*g + 546. Calculate the remainder when g is divided by 16. 10 Suppose -o = -3*v - 23 - 9, 0 = 3*o + 4*v - 44. What is the remainder when 38 is divided by o? 18 Suppose -3*v = -2*h + 40, -5*v = -3*h + 15 + 44. What is the remainder when h is divided by 8? 7 Suppose 16 = -4*y - 76. Let f(q) = 30*q - 2. Let c be f(-1). Let w = y - c. What is the remainder when w is divided by 6? 3 Suppose -4*o - 3*q = -0*q - 71, -o = 2*q - 14. Suppose -o - 4 = -4*a. What is the remainder when a is divided by 4? 2 Suppose -58 = t + t. Let l = 56 + t. Calculate the remainder when l is divided by 14. 13 Let n(r) be the first derivative of -r**2 + 2*r - 2. Let s be n(8). Let l = s + 55. Calculate the remainder when l is divided by 21. 20 Suppose 8 = 4*m, -8 = 2*a - 3*m + 2. Let r = a + 5. Let j = -336 - -338. Calculate the remainder when r is divided by j. 1 Let d(j) = 2*j + 12. Calculate the remainder when 3 is divided by d(-5). 1 Suppose -76 = -4*c - 2*z, -6*c + 2*c - 4*z = -84. Let y = 125 + -115. Calculate the remainder when c is divided by y. 7 Let l(m) = m + 3 + m - 5*m**2 + 12*m**2 + 8*m**2. What is the remainder when l(-2) is divided by 20? 19 Let c(p) = -2 + 20*p**2 + p + 0 + 2*p. What is the remainder when c(1) is divided by 6? 3 Let f(x) = 7*x - 4. Let z(h) = -1 - 4*h**2 + 4*h - 3*h**3 - 2 + 4*h**3 - 1. What is the remainder when f(7) is divided by z(4)? 9 Suppose -14 - 6 = -4*h. Let a = 11 - h. Suppose -3*m = -9 - 3. What is the remainder when a is divided by m? 2 Let j(p) = 2*p**2 + 7*p - 5. Calculate the remainder when j(-8) is divided by 17. 16 Suppose -w - t - 3*t - 5 = 0, -35 = -w + 4*t. Suppose 0*g + 24 = 4*g. Calculate the remainder when w is divided by g. 3 Suppose 29 = -3*d + 5*l, 2*d = d + l - 9. Calculate the remainder when 23 is divided by ((-2)/4)/(d/96). 5 Suppose -101 = -i + 11. Suppose 5*f = -7 + i. Suppose -5*t + 89 + 111 = 0. What is the remainder when t is divided by f? 19 Let n(h) = -6*h**3 + h**2 - 6*h - 7. Calculate the remainder when n(-2) is divided by 15. 12 Suppose 2*m = 4*m - 16. Suppose -m = 3*n - 23. What is the remainder when n is divided by 2? 1 Let k be (1/(-3))/(1/(-6)). Let r(s) = s - 3. Let b be r(-2). What is the remainder when 27 is divided by b*(-3 - (k - 2))? 12 Let x = -6 + 10. Let r(h) = 6*h + 3. What is the remainder when 106 is divided by r(x)? 25 Suppose 5*i - 95 = 5*t, -i + 13 - 70 = 3*t. What is the remainder when 13 is divided by t/(-4) - 3/(-12)? 3 Let a = -3 + 14. What is the remainder when 76 is divided by a? 10 Suppose 0 = -5*r + 20 + 35. What is the remainder when r is divided by 6? 5 Let k = -7 + 10. Let n = 0 + k. Let c(y) = 3*y**2 - 3*y + 4. Calculate the remainder when c(n) is divided by 8. 6 Suppose l + 5 = -4*u + 33, -5*l - 4*u + 140 = 0. What is the remainder when 83 is divided by l? 27 What is the remainder when 142 is divided by ((-56)/(-24))/(4/84)? 44 Let r(t) = t**2 - 11*t - 8. Let q be r(12). Suppose q = 4*a - 4. Calculate the remainder when (-2)/((-8)/6)*2 is divided by a. 1 Suppose -4*i - 57 = -u, -4*u - 2*i = -39 - 153. Calculate the remainder when u is divided by (-78)/(-4)*26/39. 10 Calculate the remainder when ((-1070)/(-4))/5*(-2)/(-1) is divided by 27. 26 Let j(q) = -q**3 + 5*q**2 - 2*q + 5. Let l(x) = 2*x - 8. Let z be l(6). What is the remainder when j(z) is divided by 4? 1 Let r = -2 + 4. Suppose w = r + 23. Suppose y - 3*y + 14 = 2*n, 0 = 5*n + w. Calculate the remainder when y is divided by 7. 5 Let v = -12 + 19. Let q = 2 - 1. Let i = q + 18. Calculate the remainder when i is divided by v. 5 Let v = 42 + -37. Calculate the remainder when 19 is divided by v. 4 Suppose 0 = r + 4*l - 3, -4*l - 4 = -2*r + 2. Suppose r*s - 88 = s. Calculate the remainder when s is divided by 15. 14 Suppose t = -3*u - 93, 23 - 68 = u + 5*t. Let b = 61 + u. What is the remainder when b is divided by 17? 14 Suppose p - 4*v - 17 = 0, -3*v - 27 = 5*p - 135. Let r be 700/p*(-6)/(-4). Calculate the remainder when r/2 + (-2 - 0) is divided by 6. 5 Let g(f) = 2*f**3 - 8*f**2 - 2*f + 19. What is the remainder when g(6) is divided by 40? 31 Let k be (-500)/(-10) + 0/(-2). Let i = -30 + k. What is the remainder when i is divided by 11? 9 Suppose 77*k + 102 = 79*k. What is the remainder when k is divided by (26/(-6))/((-3)/18)? 25 Let v = -25 - -51. What is the remainder when v is divided by 9? 8 Suppose 4*v + 4*y = -0*y + 48, -5*v + y = -30. Let k = 14 + -9. What is the remainder when v is divided by k? 2 Suppose -2*v + m + 19 = -2*m, -3*v - 5*m = -38. Calculate the remainder when 21 is divided by v. 10 Suppose -5*w + v = -444, 0*v + 5*v - 420 = -5*w. Calculate the remainder when w is divided by 32. 24 Let b = 14 - 0. Suppose -2*w = -6*w + 104. What is the remainder when w is divided by b? 12 Let n(j) = j**3 + 9*j**2 + 7*j + 2. Calculate the remainder when 18 is divided by n(-8). 8 Suppose 2*f = 22 + 10. What is the remainder when 45 is divided by f? 13 Suppose 0 = -w - 0*w. Suppose 2*f + 12 = 2*r, w = 2*r + 2*f + 3 - 31. Calculate the remainder when r is divided by 6. 4 Suppose -4*b - 4*w = 4, 0 - 2 = -3*b + 2*w. Let p = b - 0. Suppose -3*i + p*i + 24 = 0. What is the remainder when 23 is divided by i? 7 What is the remainder when 219 is divided by (-3 - -6 - 0) + 41? 43 Suppose 0 = 2*o + 4*t - 30, 5*o + 3*t - 52 = 9. What is the remainder when o is divided by 2? 1 Suppose -4*d = -7 + 23. Let a(h) = h**3 + 4*h**2 - 3*h - 2. What is the remainder when a(d) is divided by 4? 2 Suppose -2*n - m = -45, -4*n + 23 = 3*m - 62. Calculate the remainder when n is divided by 7. 4 Suppose 0*x - 40 = -2*x. Let k = -8 + x. Calculate the remainder when 22 is divided by k. 10 Let g be 2 + (1 - -1) + -2. Suppose -5*l + 4*f - 1 = -32, -23 = -5*l + g*f. Calculate the remainder when 15 is divided by l/(3/24*3). 7 Let m = 58 - 44. Calculate the remainder when 95 is divided by m. 11 Let f = 65 - 57. What is the remainder when 14 is divided by f? 6 Let o = 37 - 22. Calculate the remainder when o is divided by 4. 3 Let a = 131 - 57. What is the remainder when a is divided by 25? 24 Suppose -4*z + 254 = -22. Calculate the remainder when z is divided by 24. 21 Let l(r) = -r**2 - r + 1. Let g be l(0). Let v = g + 16. What is the remainder when v is divided by (0 + -1)/(1/(-9))? 8 Suppose -k + 15 = -4*p, 4*k = 5*p + 36 + 24. Let j = -5 + 13. What is the remainder when k is divided by j? 7 Let u(y) = -2*y - 9. What is the remainder when u(-10) is divided by 7? 4 Let i(a) = -a**3 - 4*a**2 - 3*a - 4. Suppose -2 = -v + 12. Calculate the remainder when v is divided by i(-4). 6 Suppose -36 = -3*o + 3*d, o = 3*o + 4*d - 42. What is the remainder when 43 is divided by o? 13 Let k(r) = -11*r - 8 + 0*r**2 + 2*r - r**2. What is the remainder when 17 is divided by k(-6)? 7 Suppose 67 = 5*k - 0*t - 3*t, 0 = -2*k + 3*t + 25. Let o(j) = -j**2 + 10*j - 8. Calculate the remainder when k is divided by o(8). 6 Le
{ "pile_set_name": "DM Mathematics" }
What is 11.62299 micrograms in nanograms? 11622.99 Convert 6469.666ng to grams. 0.000006469666 What is 9/10 of a millennium in decades? 90 Convert 71.58795 grams to milligrams. 71587.95 What is four fifteenths of a day in seconds? 23040 What is 513487.89 nanoseconds in hours? 0.000000142635525 What is 0.6775592 seconds in microseconds? 677559.2 How many millilitres are there in 965020.9 litres? 965020900 Convert 13914.04 hours to nanoseconds. 50090544000000000 What is 78778.16 tonnes in milligrams? 78778160000000 What is seven quarters of a litre in millilitres? 1750 What is 3/25 of a microgram in nanograms? 120 What is 37825.1 tonnes in kilograms? 37825100 What is 95.64458 milligrams in kilograms? 0.00009564458 What is 17/2 of a kilogram in grams? 8500 What is 517522.9 microseconds in milliseconds? 517.5229 What is ten thirds of a week in minutes? 33600 What is 11/7 of a week in days? 11 What is six fifths of a millennium in years? 1200 What is one tenth of a millimeter in micrometers? 100 What is eleven halves of a tonne in kilograms? 5500 How many millennia are there in 97.2891 years? 0.0972891 What is 207360.5 kilograms in micrograms? 207360500000000 What is 33/5 of a millimeter in micrometers? 6600 How many days are there in 20862975.6 microseconds? 0.000241469625 How many micrograms are there in 5/4 of a milligram? 1250 How many tonnes are there in 0.5669629ug? 0.0000000000005669629 What is 6/5 of a litre in millilitres? 1200 What is seventeen halves of a centimeter in millimeters? 85 What is 455461.7 weeks in hours? 76517565.6 How many litres are there in 329172.9ml? 329.1729 Convert 46095.52 centuries to decades. 460955.2 What is nine tenths of a hour in minutes? 54 What is 48.91004t in micrograms? 48910040000000 How many meters are there in twenty-one fifths of a kilometer? 4200 How many nanograms are there in 64859.17g? 64859170000000 What is 89319.08 days in hours? 2143657.92 How many minutes are there in 25.212015us? 0.00000042020025 Convert 714879.54s to days. 8.27406875 Convert 55.60047 weeks to nanoseconds. 33627164256000000 What is 13/4 of a meter in centimeters? 325 How many milligrams are there in 13/5 of a gram? 2600 What is 7/2 of a minute in seconds? 210 How many millilitres are there in 1/4 of a litre? 250 How many millilitres are there in three tenths of a litre? 300 Convert 5.20223 micrometers to centimeters. 0.000520223 How many seconds are there in one fifteenth of a day? 5760 What is 7/8 of a century in months? 1050 What is eighteen fifths of a century in decades? 36 How many millennia are there in 2298.8562 months? 0.19157135 Convert 394.0693 kilometers to centimeters. 39406930 What is 2607.867 centuries in years? 260786.7 Convert 22.55342ng to kilograms. 0.00000000002255342 Convert 0.3336021 nanoseconds to microseconds. 0.0003336021 How many nanograms are there in 0.72319g? 723190000 How many kilograms are there in 761.2439 milligrams? 0.0007612439 Convert 92.49754ml to litres. 0.09249754 How many centimeters are there in 60.84629 meters? 6084.629 How many hours are there in 2151381.6us? 0.000597606 What is 7/8 of a kilogram in grams? 875 What is 20.8347687 seconds in days? 0.00024114315625 What is 4/15 of a millennium in months? 3200 What is 6436.827 tonnes in grams? 6436827000 Convert 3.902035 microseconds to milliseconds. 0.003902035 How many tonnes are there in 24.58007 milligrams? 0.00000002458007 Convert 56345.23l to millilitres. 56345230 What is eighteen sevenths of a week in hours? 432 What is 33/5 of a milligram in micrograms? 6600 How many micrometers are there in 260.8647nm? 0.2608647 What is 10/21 of a week in hours? 80 What is 13/4 of a kilogram in grams? 3250 What is fourty-two fifths of a litre in millilitres? 8400 What is 46/5 of a kilogram in grams? 9200 What is 584.8699 days in nanoseconds? 50532759360000000 Convert 3333.134l to millilitres. 3333134 How many months are there in eight thirds of a year? 32 What is 1/80 of a centimeter in micrometers? 125 Convert 98.13819 days to milliseconds. 8479139616 How many kilometers are there in 644801.2um? 0.0006448012 Convert 39430.8 micrograms to grams. 0.0394308 What is fourty-five quarters of a kilometer in meters? 11250 How many centuries are there in 0.685048 years? 0.00685048 What is 1/100 of a kilometer in centimeters? 1000 What is eleven halves of a tonne in kilograms? 5500 What is 8/25 of a gram in milligrams? 320 What is 158036.4kg in nanograms? 158036400000000000 Convert 9.151463mm to kilometers. 0.000009151463 How many millimeters are there in fourty-two fifths of a meter? 8400 Convert 907742.8 decades to years. 9077428 What is 77/2 of a litre in millilitres? 38500 What is thirteen quarters of a meter in millimeters? 3250 What is 19/4 of a microgram in nanograms? 4750 Convert 10455.45m to kilometers. 10.45545 What is three eighths of a micrometer in nanometers? 375 What is one fifth of a microsecond in nanoseconds? 200 What is 10.29848l in millilitres? 10298.48 How many millilitres are there in eighty-one quarters of a litre? 20250 Convert 7.981774 micrometers to nanometers. 7981.774 How many micrometers are there in 828.7874m? 828787400 What is 471.9428 millilitres in litres? 0.4719428 What is three fifths of a litre in millilitres? 600 What is 310.0161 micrograms in kilograms? 0.0000003100161 What is 324765.2 grams in nanograms? 324765200000000 How many millilitres are there in 1/5 of a litre? 200 How many centimeters are there in 8/25 of a kilometer? 32000 How many millilitres are there in seventy-seven fifths of a litre? 15400 What is 1/16 of a meter in micrometers? 62500 How many milliseconds are there in 8/25 of a second? 320 How many grams are there in 9.153131 micrograms? 0.000009153131 How many seconds are there in 1/9 of a week? 67200 Convert 73359.09 minutes to nanoseconds. 4401545400000000 What is 27/5 of a tonne in kilograms? 5400 What is 8/25 of a kilogram in grams? 320 Convert 6.863409 nanometers to kilometers. 0.000000000006863409 What is 43/2 of a week in hours? 3612 How many seconds are there in 7/4 of a minute? 105 What is 70.62906t in kilograms? 70629.06 What is 55/2 of a tonne in kilograms? 27500 How many months are there in one fifth of a millennium? 2400 What is 97654.46 kilograms in milligrams? 97654460000 Convert 977.2824l to millilitres. 977282.4 How many months are there in 9145.986 millennia? 109751832 Convert 17911.74 milligrams to micrograms. 17911740 Convert 33.35576 hours to minutes. 2001.3456 How many months are there in seven thirds of a decade? 280 What is 3/40 of a kilometer in meters? 75 How many seconds are there in one ninth of a hour? 400 What is 0.6447869nm in micrometers? 0.0006447869 What is 3/10 of a millimeter in micrometers? 300 What is 324.6767 nanometers in meters? 0.0000003246767 What is 60.68004um in nanometers? 60680.04 What is eleven quarters of a millimeter in micrometers? 2750 What is 45331.938us in hours? 0.000012592205 What is seventy-two fifths of a millennium in centuries? 144 Convert 726.9478l to millilitres. 726947.8 How many micrograms are there in 30.5904kg? 30590400000 What is seven thirds of a week in hours? 392 How many millennia are there in 0.307687 decades? 0.00307687 How many minutes are there in 5/42 of a week? 1200 Convert 0.8110062 nanometers to centimeters. 0.00000008110062 How many tonnes are there in 5.90607 nanograms? 0.00000000000000590607 What is 61/4 of a meter in centimeters? 1525 What is 730.2485 kilometers in meters? 730248.5 Convert 70.09282 days to weeks. 10.01326 What is 8628.595ug in nanograms? 8628595 What is 41752.58 nanoseconds in seconds? 0.00004175258 What is 73/4 of a microgram in nanograms? 18250 Convert 8.72275ml to litres. 0.00872275 What is 0.2304128 hours in nanoseconds? 829486080000 What is 500.2036nm in micrometers? 0.5002036 What is 651891.6 decades in centuries? 65189.16 What is 61.38086ms in seconds? 0.06138086 How many micrometers are there in 778707.4 millimeters? 778707400 What is 43382.5 millennia in years? 43382500 How many months are there in 53/4 of a century? 15900 What is twenty-five quarters of a litre in millilitres? 6250 How many centimeters are there in 54.86747nm? 0.000005486747 What is 411159.2us in seconds? 0.4111592 What is
{ "pile_set_name": "DM Mathematics" }
= -43 + v. Let h = -0.462 - -0.062. What is the closest to h in 0.2, -0.1, l? -0.1 Suppose -5*o - 106 = -3*r - 109, o + 5 = -5*r. Which is the nearest to o? (a) -1/3 (b) -3 (c) -2 a Let f be (-15)/2 - 1/2. Let m be (-10)/f + 8/((-32)/1). Suppose -2*t - 8 = -h, -3*h - 2*t + 3*t = -4. Which is the nearest to h? (a) 2 (b) m (c) 10 b Let j = 27/35 + -89/70. Which is the closest to -2/149? (a) -3/2 (b) -3/7 (c) 1 (d) j b Let v = -4.96 - 0.04. Let c = -0.158 + -192.842. Let k = c + 195. What is the closest to k in 5, v, -0.1? -0.1 Let x = 3.92 + 0.08. Let p be ((-2 - -1)*-1)/(1 - 92/46). Which is the nearest to -1/8? (a) 1 (b) x (c) p c Let k = 0.3 + -0.5. Let l = 87447 - 87446.6. Which is the closest to l? (a) k (b) -3 (c) 2/3 c Let l = -17 + 15.88. Let h = l + 1.62. What is the nearest to -1 in -41, h, 2? h Let o be (-2)/(-5) + 1/(-2). Suppose -5*v + 2*l + 276 = 0, -3*v = -5*l - 88 - 89. Suppose 60 = -v*n + 66*n. Which is the closest to 1/3? (a) 2/11 (b) n (c) o a Let b = -10944.55 - -10945. What is the closest to 0.01 in -0.2, 2/5, b? -0.2 Let k = -1.3 + -0.7. Let r = 484 - 483.6. Which is the closest to 0.1? (a) 4 (b) k (c) r c Let c = -16 - -17. Let o be c*10/(-85) + (-134)/(-272). Let q = 4 + -4. What is the nearest to -1 in o, 0.2, q? q Suppose 10*v = -3*k - 32, -2*v - 8 = 16*k - 15*k. Which is the nearest to 0.1? (a) v (b) 0 (c) -5 (d) -3 b Let p = -13.6 + 27.4. Let z = 15.8 - p. What is the nearest to 16/9 in z, 0.5, -0.3? z Let b = 0.1 + -9.1. Let i = 12 + b. Let q = 14653/3 - 4885. What is the nearest to q in i, -0.4, -0.3? -0.4 Let t be 220/(-285) - (9 - 2422/266). What is the closest to -4 in -0.4, t, -3/10, -0.1? t Let m be 1 - 0 - 18/22. Let w = -1846 - -1841. Let r = 10 + -10. What is the closest to m in -4, r, w? r Let i = 7269 + -7269.5. What is the nearest to 8 in -9, i, -1? i Suppose -18*f = -19*f - 12. Let i be ((-150)/(-180))/((-2)/f). Which is the nearest to i? (a) -7 (b) 2/3 (c) 0.4 b Let t = 0.8 - 1.8. Let z = -1806155/186 + 9711. Let w = z + 1/93. What is the closest to 0.4 in w, t, -1/7? w Let d be (-855)/(-399) - (-272)/(-140). What is the nearest to 1 in 14.5, d, 2? d Let n = -17 - -16.9. Suppose -7 = y - 4*r, 4*y - 12*r - 8 = -14*r. Which is the nearest to n? (a) 8 (b) y (c) -0.3 c Let s = 41 + 1. Let i = -945.1 + 903. Let o = i + s. Which is the closest to -0.6? (a) -3 (b) o (c) 2/13 b Let k = -823 + 4118/5. What is the nearest to 5/8 in 3/7, k, -5? k Let i = 18063 + -54193/3. Which is the closest to 3.3? (a) -4/7 (b) i (c) 0.4 c Let y = -418 + 121. Let m = -293 - y. What is the closest to m in 3/2, -0.2, 0.05, -1? 3/2 Let t = -2 - -1.9. Suppose 0 = 20*u - 292 + 332. Which is the closest to 1? (a) t (b) 0 (c) u b Suppose 2*u = -5*i - u + 5, -u = 5. Let m = 0.536 + -0.006. Let t = 0.43 - m. Which is the closest to -13? (a) t (b) -1 (c) i b Let i = 0.1366 - 269.7366. Let y = i - -270. Which is the nearest to -3? (a) -0.06 (b) -3/4 (c) -1 (d) y c Suppose -6*v - 65 = 25. Let u(k) = -k**3 - 16*k**2 - 9*k + 91. Let z be u(v). What is the nearest to z in 18, 0, -0.2? 0 Let n = -0.16098 - -1.16098. What is the closest to n in 37, -3, -1/5? -1/5 Let o = 8.8 + -9.68. Let z = o + 0.78. Let w = 0 - 5. Which is the closest to z? (a) 0.2 (b) w (c) 0.1 c Let t = -71 + -53. Let h = -1362/11 - t. Let u = 0.02243 + -0.02243. Which is the closest to -1/4? (a) -4 (b) h (c) u c Let n = -97 + -76. Let l = n + 1383/8. What is the nearest to l in -3/5, -1/3, 1/2? -1/3 Let x = -17 - -28. Let c = x - 15. Let l = -160 - -161. What is the nearest to l in 4, c, -5/3? -5/3 Let f = 14484 - 14484. Which is the closest to 4? (a) -0.14 (b) f (c) 2/29 c Suppose -79*a + 57*a + 88 = 0. Let g = 94 + -94. Suppose 4*p - 3*p = 0. What is the closest to p in a, g, -1/2? g Let o(y) = y**2 - 8*y - 86. Let w be o(-6). Let l = 23.8 + -24. Which is the nearest to -1? (a) w (b) l (c) 1/3 b Let j be 34 + 6 + (-6)/3 + -8. What is the nearest to -0.2 in -3/7, -0.3, j, 0.3? -0.3 Let q = 2729 - 2728.9. Which is the nearest to -2? (a) 2 (b) -8 (c) -2 (d) q c Let z be (-72)/180*(-2 + (-126)/(-48)). Which is the closest to 3? (a) 0.4 (b) -0.234 (c) z a Let s be (18886/42)/(2 - 1). Let r = s - 450. Which is the closest to -1/3? (a) r (b) 0.5 (c) 1/11 (d) -1 a Let m = -44117 + 44117.3. Suppose 0 = -2*n - 0*n. What is the nearest to n in 4, m, 1? m Let r = -50.1 + -20.9. Let k = -69 - r. What is the nearest to k in 2/7, -6, -5? 2/7 Let l = 56.9 - 62.6. Let c = 110.3 - 118. Let a = l - c. What is the closest to -2/9 in -3, -4, a? a Let b be (-5280)/(-49280)*28/6. Let u = 1.1 + -0.1. Let r = 1 - u. What is the closest to b in r, 5, -0.5? r Let t = -0.56 - -0.66. Let h = -36 - 2. Let z = h + 33. What is the closest to t in z, 0.4, -4/5? 0.4 Let y = 0.054 + -0.454. Let d = 1.454 - 0.454. What is the closest to d in -2/7, 1, y? 1 Let f = 312.2 + -308.2. Which is the nearest to -2/5? (a) 0.1 (b) 18 (c) f a Let c = 0.4901 + -0.1901. What is the closest to -4 in c, 5, -3, 18? -3 Let p be (-1)/(-39) - 2/6. Suppose 4*j - 6*j + y = 6, -2*j - 5*y = -6. Which is the nearest to p? (a) -3/8 (b) -3/7 (c) j a Let i = 458.991 - 0.991. Let f = 457.8 - i. What is the closest to 0 in f, 0.4, 20? f Let g be ((35/49)/5)/(1/2). What is the nearest to 2/3 in -7, g, 13? g Let g = 218/279 - 32/279. Which is the closest to g? (a) 5 (b) 0.2 (c) -177 b Suppose u - 5*q + 2*q - 5 = 0, -2*u - 3*q = -28. Suppose 3*z + u = -4. Let t be -1 - z - 14/4. Which is the closest to t? (a) 5 (b) -0.2 (c) -3 b Let h = 2.458 + -0.398. Let m = h + -2.16. What is the nearest to m in 13, 2/11, -1? 2/11 Let y be -1 - (2 - (-62)/(-20)). Let o = 0.01473 - -0.38527. Which is the nearest to -0.1? (a) 3 (b) o (c) y (d) 3/4 c Let u(w) = 26*w + 125. Let y be u(-5). Let o = 119 + -65. Let f = o - 51. What is the nearest to 0.1 in 1/4, f, y? 1/4 Let w be (-1 - -4)/((-18)/(-4)). Let r = -15.46 + 2.56. Let f = 12.5 + r. Which is the nearest to w? (a) -4 (b) f (c) 2 b Let k = -24168.4 + 24168. What is the closest to 1/4 in -0.2, k, -0.14, 9? -0.14 Let i = -1.3082 + 1.6082. Which is the closest to 60? (a) 2/9 (b) i (c) 1/2 c Let n = 316 - 315. Let z = 327 - 327.2. Which is the closest to -0.4? (a) n (b) -5 (c) z (d) 4 c Let x = 28678/8961 - 332/103. Which is the nearest to 11/2? (a) x (b) -0.5 (c) -2/7 a Let n = 345 - 520. Let v = n + 169. Let x be 0/5 - 1/6. Which is the nearest to 0.1? (a) -3/7 (b) x (c) v b Let t = 34.4 - 27.4. Let l = -2945/3 - -981. Which is the closest to -1/2? (a) l (b) t (c) -1/5 a Let v = -11.465 + 20.465. What is the closest to -3 in -1, v, 1, -1/6? -1 Let i = 6339 + -6342. Let g = 1 - -2. Let w = 1 - g. What is the nearest to -13 in w, i, -4? -4 Let b = -33900 - -33900.7. Let i(n) = n**2 + 2*n + 1. Let q be i(-2). Let c be -2*(46/20 - 2). What is the closest to q in b, c, 0.4? b Let d = 5443 - 5448. What is the nearest to 3/8 in d, -0.037, -1? -0.037 Suppose -2*l = o - 2, -5*o - 13*l + 16*l = 3. Let m(x) = -2*x**3 + 4 + x**3 + 1. Let v be m(0). What is the closest to 3 in v, -5, o? v Let q be (-196)/588*48/28. Let t be (-3)/((-1)/2*39). What is the closest to 0.2 in -2, t, q? t Let s = -5.3 + 5.7. Let y be (6/(-4))/(30/(-100)). Let j be y/2*32/(-440). What is the closest to -4 in s, j, 2/11? j Let h = -581 - -354. Let o = h - -226.4. Which is the nearest to 0.2? (a) 2/5 (b) 4/3 (c) o a Let g be (-2 + -8)*(-16)/560. Which is the nearest to g? (a) 2/5 (b) 0.3 (c) -1/10 (d) 0 b Let o = -97.2048 - -0.2048. What is the nearest to -1 in o, 1, -3/5, -4? -3/5 Let y(a) = -118*a - 1774. Let s be y(-15). Let i = 0.3 - 2.3. What is the nearest to -5 in i, s, 0.01? s Suppose -2*s - 7*q = -9*q + 246, -3*s + 4*q - 369 = 0. Which is the closest to -1.1? (a) 1/5 (b) s (c) 3 a Let l = -4640 - -4645. Which is the closest to -2? (a) 0.4 (b) 1 (c) -14 (d) l a Let b(r) = r**3 + 26*r**2 - 59*r + 23. Let t be b(-28). What is the nearest to t in 1, -3/2, 2/5? 1 Suppose 2 = f - 16. Let z be (-3)/f*(-105)/14. Let m = -0.09 + 1.09. Which is the nearest to -0.1? (a) m (b) -3/7 (c) z b Suppose -w + 5*w = 5*n + 198, 0 = 3*w + 4*n - 164. What is the nearest to 1 in -1/3, -4, w? -1/3 Let m = -6812.076 - -6812. Which
{ "pile_set_name": "DM Mathematics" }
-13 by -26719. 13/26719 3808998 divided by -423222 -9 -964 divided by -366 482/183 Calculate -2880 divided by 720. -4 4387723 divided by 5 4387723/5 Divide 3 by -194390. -3/194390 4 divided by 135207 4/135207 What is 170 divided by 3391? 170/3391 What is 12648 divided by -248? -51 Calculate 796834 divided by -1. -796834 Calculate 3491250 divided by -5. -698250 Calculate -139 divided by -142. 139/142 18 divided by 2769 6/923 17206 divided by 2 8603 Divide 97226 by -1. -97226 108085 divided by -2 -108085/2 What is 4700 divided by -39? -4700/39 Divide -1513 by -3. 1513/3 Calculate 3 divided by 7239. 1/2413 -25441 divided by 4 -25441/4 Calculate 19404 divided by 25. 19404/25 -907 divided by -492 907/492 What is 270408 divided by 22534? 12 Divide 88 by -298. -44/149 Divide -107 by -2093. 107/2093 1201900 divided by -2 -600950 Divide 50 by 232. 25/116 What is -255 divided by -175? 51/35 Divide 14725 by 589. 25 What is -126178 divided by -3? 126178/3 What is 2219 divided by 7? 317 Calculate 1879201 divided by -5. -1879201/5 Divide 20873 by 1. 20873 Calculate 3 divided by 1023. 1/341 What is 2 divided by 235487? 2/235487 What is 1861 divided by -121? -1861/121 Divide -267974 by 133987. -2 What is 4 divided by -1119288? -1/279822 Divide 540348 by 111. 4868 Divide -16836 by -366. 46 What is 25866 divided by 1? 25866 2029696 divided by -4 -507424 What is -30923 divided by 30923? -1 -2983140 divided by -2 1491570 Divide 12273604 by -4. -3068401 What is 537568 divided by -16799? -32 Calculate -32068224 divided by 3. -10689408 What is -1444008 divided by -722004? 2 -427086 divided by -6 71181 2982612 divided by -1 -2982612 Divide -12 by -13145. 12/13145 Divide -4788 by -114. 42 Calculate 42 divided by -2072. -3/148 Divide 93 by 57. 31/19 Calculate -2149 divided by -112. 307/16 10420 divided by 2 5210 What is 42476 divided by 82? 518 Calculate -7 divided by -421. 7/421 Divide 6 by -3838. -3/1919 Calculate -1498 divided by 387. -1498/387 Calculate -2338350 divided by 1050. -2227 What is -3500 divided by -70? 50 Calculate -1094 divided by 218. -547/109 Divide 15185 by 392. 15185/392 Divide -3 by 11504. -3/11504 Divide 0 by -3859. 0 Divide -1 by -19913. 1/19913 Calculate 409 divided by -124. -409/124 Calculate -97885 divided by -2. 97885/2 -1662258 divided by 26 -63933 Calculate 22737 divided by -53. -429 Calculate 4041 divided by -267. -1347/89 Calculate 54 divided by -86. -27/43 Calculate 53041 divided by -59. -899 Divide 45473 by 4. 45473/4 Divide 185274 by 141. 1314 What is -64926 divided by 3? -21642 What is -6443640 divided by 920520? -7 What is -779 divided by -308? 779/308 Calculate -22991 divided by 4. -22991/4 -3463 divided by 498 -3463/498 Divide 69130 by 34565. 2 Calculate -1132 divided by -25. 1132/25 -869 divided by -261 869/261 What is 5 divided by -7089? -5/7089 Calculate -82404 divided by -27468. 3 Calculate 9792 divided by -72. -136 Calculate -22732 divided by 6. -11366/3 133147 divided by 5789 23 Divide 754971 by -251657. -3 What is -520032 divided by 16? -32502 19 divided by -13681 -19/13681 2 divided by -155675 -2/155675 0 divided by 3502 0 Divide -1 by -2804. 1/2804 414168 divided by -34514 -12 What is 12875 divided by 17? 12875/17 1363 divided by -1797 -1363/1797 20 divided by 436 5/109 Divide -1121877 by -124653. 9 Calculate 4774 divided by 11. 434 Divide 439 by -731. -439/731 -201924 divided by 3 -67308 Calculate 1841656 divided by -8. -230207 What is 6 divided by -14075? -6/14075 What is 14282 divided by 386? 37 Divide 8640 by -2160. -4 Divide -499083 by -7. 499083/7 Calculate -19 divided by 213. -19/213 Calculate 71 divided by 2751. 71/2751 1685 divided by -13 -1685/13 3 divided by 1522753 3/1522753 -42396 divided by -1 42396 30188 divided by -17 -30188/17 Calculate 43656 divided by 5457. 8 What is -1 divided by 742625? -1/742625 15367 divided by 11 1397 -2 divided by -390916 1/195458 Calculate -533 divided by 42. -533/42 Divide -26 by -7642. 13/3821 Divide 125615 by -485. -259 -5 divided by 1608837 -5/1608837 Calculate -546923 divided by -1. 546923 54405 divided by 65 837 What is 29 divided by -29931? -29/29931 Calculate 2197887 divided by -3. -732629 Calculate -42 divided by -1573. 42/1573 -2254560 divided by -132 17080 What is 46692 divided by 11? 46692/11 Calculate -6 divided by -13917. 2/4639 What is -2 divided by -23830? 1/11915 Divide -3952 by 38. -104 Calculate -3199446 divided by -9. 355494 Calculate 145112 divided by -11. -13192 Divide -6864345 by 3. -2288115 162432 divided by -54144 -3 Divide -86 by -52. 43/26 10834830 divided by -6 -1805805 -60066 divided by 1278 -47 1 divided by -4370 -1/4370 What is -8070 divided by 6? -1345 -1912 divided by 2 -956 -4 divided by 1543838 -2/771919 Divide -82809 by -9. 9201 Divide 3 by -3001. -3/3001 9 divided by -6478 -9/6478 Calculate 9507 divided by 145. 9507/145 -2760240 divided by -8680 318 What is -105856 divided by 7? -105856/7 Divide 3090250 by -618050. -5 2 divided by -210870 -1/105435 Divide 445014 by -6. -74169 Divide 2443 by 535. 2443/535 186967 divided by -1 -186967 Calculate 5 divided by 13702. 5/13702 Divide 798700 by -14. -57050 Divide -210595 by 5. -42119 Calculate 574 divided by 168. 41/12 -1021176 divided by -28366 36 Divide 0 by -150922. 0 80400 divided by 150 536 Calculate -34156 divided by 4. -8539 Calculate -85380 divided by -85380. 1 What is 2502 divided by 300? 417/50 Calculate -657568 divided by -657568. 1 What is -17 divided by -15727? 17/15727 What is -1 divided by 73013? -1/73013 What is 1718 divided by -30? -859/15 Divide 5344 by 8. 668 What is -453256 divided by 113314? -4 Calculate -2 divided by 11000. -1/5500 -2600640 divided by 35 -74304 Divide 0 by 1350. 0 1105849 divided by -1 -1105849 Calculate -181812 divided by 12. -15151 Divide 535404 by -3. -178468 What is -19206 divided by 66? -291 Divide 52334 by -112. -26167/56 What is 117 divided by -202? -117/202 Divide -14 by 3922. -7/1961 What is 9 divided by 12164? 9/12164 What is -1514 divided by -1514? 1 Calculate -78 divided by -1988. 39/994 What is 280796 divided by 1? 280796 What is 9539 divided by -1? -9539 What is -121912 divided by 17416? -7 -91896 divided by -84 1094 Calculate 27 divided by 14906. 27/14906 What is -6 divided by 3137? -6/3137 Divide 1190312 by -38. -31324 0 divided by 18205 0 Calculate 41 divided by -1536. -41/1536 -696234 divided by -10549 66 Calculate 872847 divided by 6. 290949/2 Calculate 548757 divided by -23859. -23 Divide -171 by -1968. 57/656 -4509 divided by -131 4509/131 -3036912 divided by 759228 -4 Divide -13 by 2021. -13/2021 Calculate -59787 divided by -273. 219 Calculate -5 divided by -5934. 5/5934 What is -54088 divided by 2? -27044 Calculate -41556 divided by 2. -20778 Calculate -4 divided by -1159253. 4/1159253 -17983 divided by 367 -49 Calculate -1900646 divided by 1. -1900646 -72684 divided by -9 8076 Calculate 486866 divided by 243433. 2 What is 178 divided by 2? 89 -177 divided by 200 -177/200 2170272 divided by 542568 4 Divide 0 by 155738. 0 1 divided by 16050 1/16050 What is -292 divided by 367? -292/367 Calculate -450018 divided by -19566. 23 Divide 1014030 by -8895. -114 Calculate 7 divided by -47346. -7/47346 -120 divided by -954 20/159 Divide 7 by 547. 7/547 Divide -5 by -343391. 5/343391 What is 12716 divided by 11? 1156 442312 divided by 110578 4 28 divided by -28 -1 Divide 1725 by 75. 23 Calculate 123 divided by -944. -123/944 What is 227664 divided by -24? -9486 Calculate 9889 divided by 5. 9889/5 What is 1794076 divided by 448519? 4 What is -37 divided by 72374? -37/72374 Calculate -1938 divided by 1229. -1938/1229 What is -2183100 divided by 15? -145540 Calculate -17 divided by 1559. -17/1559 What is -11 divided by -52350? 11/52350 What is -93990 divided by 241? -390 Divide -1337 by 78. -1337/78 Divide -2 by -445705. 2/445705 Calculate -2199564 divided by 4. -549891 -3 divided by 1396 -3/1396 What is -15382 divided by -15382? 1 What is 16 divided by 7869? 16/7869 Calculate 361 divided by 115. 361/115 What is 3087 divided by -218? -3087/218 Divide 1098 by -56. -549/28 32 divided by 6520 4/815 -128 divided by -2321 128/2321 What is -24 divided by -632? 3/79 Calculate 64822 divided by -5. -64822/5 What is 909474 divided by 454737? 2 -189 divided by
{ "pile_set_name": "DM Mathematics" }
n denominator of h and (3/24)/(p/22)? 4 Let n(k) = -k + 10. Let d be n(8). Suppose -5*t - 1 - 26 = -d*f, -5*f = -5*t - 45. What is the lowest common multiple of 2 and f? 6 Let u be 4/(-10) + (-36)/(-15). What is the lowest common multiple of (-15)/(-10) + 1/u and 4? 4 Let i = -204 - -207. Let g = -3 - -12. Calculate the lowest common multiple of i and g. 9 Suppose -3 + 7 = 2*z. Let a = 47 + -203. What is the lowest common multiple of z and a/(-15) + (-2)/5? 10 Let r = 4 + -8. Let y = r + 6. Suppose 2*f = -f + 30. What is the lowest common multiple of y and f? 10 Calculate the least common multiple of 12 and (-8)/2 + 7 + (6 - -3). 12 Let d be (1/(-3))/((-2)/78). Let x be (-31)/((-1)/2*2). Let p = x - d. Calculate the least common multiple of 10 and p. 90 Suppose -3*n + 6 = 3*l, 2*l - 1 = -2*n + n. Calculate the lowest common multiple of n and 3. 3 Suppose -5*u + 13 = 2*o, -4*o - 3*u + 1 = 10. Let i(f) = -f**2 - 12*f. What is the lowest common multiple of o/((-3)/6 - 1) and i(-11)? 44 Suppose 2*v + 0 = 2. Suppose 2*w = 4*m - 3*w + 7, 2*m - 5*w + v = 0. What is the least common multiple of 20 and 19 - (1*m)/(-3)? 180 Suppose 4*a = -i + 17, -6*i + 3 = -3*i. Suppose -4*f + 23 = -89. Calculate the common denominator of a/(-12)*f/6 and -37/2. 18 Let l(w) = -w + 1. Let p be l(-3). Suppose 0 = -b + 3*g - 4, 0 = -b - b + p*g - 4. What is the least common multiple of 4 and b? 4 Let f(p) = 93*p**3 - p**2 + 1. Let u be f(1). What is the common denominator of -99/10 and (-8)/(-28) + u/(-14)? 70 Suppose 7*v = 2*v + 10. Let c(b) = -b**3 + 24*b**2 - 42*b - 42. Calculate the least common multiple of v and c(22). 2 Let o = -35/1221 + -129667/34188. Find the common denominator of o and -77/4. 28 Let a(k) = -k - 5. Let p be 2/(1/2*-2). What is the smallest common multiple of a(-11) and (-3 - -15) + (p - 0)? 30 Let c be ((-8)/(-6))/(25/(-37515)). Let v = c + 2010. What is the common denominator of -143/6 and v? 30 What is the common denominator of (-303)/(-180) + 8/(-6) and 121/20? 20 Let g = -270635/22 + 12306. What is the common denominator of -55/6 and g? 66 Let i = -247613/16 - -15471. Calculate the common denominator of i and (-2)/12*(5 + 808/28). 112 Suppose 0 = -4*j, -3*j + 9 = 2*i - 1. What is the smallest common multiple of i and 7? 35 What is the lowest common multiple of 16 and (-1)/(26/(-4)) - 2898/(-91)? 32 Suppose -2*s - 5*l - 3 = -0*l, -4*l = 2*s + 2. What is the least common multiple of 5 and -8*-1*s/2? 20 Suppose 3*c = 3, 5*x - 6*c + 2*c - 41 = 0. Calculate the least common multiple of x and 4. 36 Calculate the common denominator of (-990)/8*(-1)/(-5) and 554/(-36) - 4/(-18). 12 Let g = 17 + -29. Let m = g - -16. Calculate the least common multiple of m and 5. 20 Let h = -1 - -2. Calculate the smallest common multiple of h/((-2)/9)*-2 and 0 + 2 + -2 - -3. 9 Let u = -3590 + 68270/19. Let v = u + -1211/209. Find the common denominator of v and 59/10. 110 Let g = -119305/12 + 9936. What is the common denominator of -35/16 and g? 48 Suppose 4*i - i = 63. What is the common denominator of -111/10 and i/(-9)*81/(-12)? 20 Let g be -2 - -16 - 4/2. Find the common denominator of -87/4 and (6/9)/(g/(-531)). 4 Let s(h) = 22*h**2 + 4*h + 2. Let u be s(-2). Let w = -4537 - -36957/8. Let r = w - u. Calculate the common denominator of r and -115/12. 24 Let r = -599/2 - -310. Find the common denominator of r and 107/12. 12 Let l = 4 + 6. Calculate the common denominator of l and 55/6. 6 Let m be -3 + ((-27724)/(-20) - -2). Let o = 1374 - m. Let r = -43/21 - -199/21. What is the common denominator of r and o? 35 Calculate the lowest common multiple of 118 and -3 + 7 - (-17 + -2 - -3). 1180 Suppose -49 = -4*y - p, -40 = -4*y - y + 3*p. Suppose 2*i = 2*s + 3 - 7, 3*i + 10 = 4*s. What is the smallest common multiple of s and y? 44 Let n be (-1068)/(-1059) - (2 + -1). Let r = 16247/1059 - n. Calculate the common denominator of r and (-286)/3*(-2)/(-8). 6 Let u(b) = -b**2 - 7*b - 5. Let v be u(-6). Let n = 3 + v. Suppose -5*r + 5*m = -95, 2*m + m = -3. What is the smallest common multiple of r and n? 36 Let o = 607705/68472 - 2/8559. What is the common denominator of o and ((-3 + 7)/16)/((-2)/12)? 8 Let q = -4 + 4. What is the common denominator of -109/10 and (q + 93/12)/2? 40 Let c = 6801600711/2214964 + -2/553741. Let s = -3056 + c. What is the common denominator of s and ((-36)/15)/((-99)/30)? 44 Suppose -6*d = -7*d + 8. What is the smallest common multiple of d and 16? 16 Let d = -18 - -34. Calculate the least common multiple of d and 18. 144 Suppose -10*u = 12 - 32. Suppose -4*n - 4 = -12. Calculate the least common multiple of u and n/(-3) - (-8)/3. 2 Suppose 0 = 5*d - 2*d - 60. What is the smallest common multiple of 18 and d? 180 Suppose -3 = 3*i + 9. What is the common denominator of -67/2 and (i/(-78))/(11/198)? 26 Let z(x) = x**3 + 3*x**2 - x + 21. Calculate the least common multiple of z(0) and 27. 189 Let d(w) = -2*w + 1. Calculate the least common multiple of 34 and d(-4). 306 Let b = -5741/2695 - 3/490. What is the common denominator of (297/55)/((-4)/5) and b? 44 Let u(z) = -z**2 + 3*z + 38. Suppose -l - 4*l + 105 = 0. What is the least common multiple of l and u(7)? 210 Let p be (-5)/(-80)*(-4)/20. Let h = 323/240 + p. Find the common denominator of 29/10 and h. 30 Let p = -5/148 + 723/592. Calculate the common denominator of -115/18 and p. 144 Let z = -1/34 + 14/187. Calculate the common denominator of 23/14 and z. 154 What is the common denominator of (-2)/((-12)/(-13))*25/(-10) and -33/10? 60 What is the common denominator of 4/10 + 183/105 and 5/10 + 11/4? 28 Suppose 4*i - i + 1083 = 0. Let h = -47 - i. Calculate the common denominator of (-1)/4 + h/(-8) and -53/14. 14 Suppose x = c, x + 0*x = -5*c - 6. Let m = x + 3. What is the lowest common multiple of 8 and m? 8 Let z be 40/6*(-9)/(-6). Find the common denominator of 2/z*(-6305)/(-156) and -1/12. 12 Suppose -5*u - 1 = -4*a, -3*u = -2*u + 3*a - 15. Suppose 9 + u = 2*j + 2*k, -5*j - 4*k = -33. Calculate the smallest common multiple of j and 6. 18 Let q = 7253/90 + -457/18. Let w = q - 1973/40. What is the common denominator of w and -23/10? 40 Find the common denominator of -51/4 and 5/920*-1*(-1 + -1). 92 Let f = 15455 + -463481/30. What is the common denominator of -53/6 and f? 30 Suppose -5*j - 29 + 149 = 0. Suppose -29*t + j = -26*t. Let z(d) = -d + 2. What is the least common multiple of z(-3) and t? 40 Let n(k) = -k**3 + 9*k**2 - 7*k - 4. Let o be n(8). Suppose -3*a + o = a. What is the lowest common multiple of 14 and (-3)/((-3)/14*a)? 14 Let g = 152405/16 + -9519. Calculate the common denominator of g and 47/26. 208 Suppose 4*p = 11 + 9. What is the smallest common multiple of p and 10? 10 Suppose -2*k - 7 + 45 = 4*a, 27 = 3*a + 3*k. Suppose -3*f = 2*d + 11, -3*d + 10 = -4*f - 16. What is the least common multiple of 4 + -6 + 2*d and a? 10 Let m be ((-704)/5)/(7/(-35)). Calculate the common denominator of -83/10 and (539/m)/((-2)/8). 80 Let d = 39 + -32. What is the lowest common multiple of 7 and d? 7 Suppose t = 4*a - 76, -4 = -2*a - 5*t + 12. Calculate the smallest common multiple of 12 and a. 36 Let i(n) = -n**2 + 14*n - 6. Suppose 0 = -4*f - 20, 2*f - 37 = -d + 7*f. Calculate the least common multiple of i(d) and 20. 180 Suppose -4*x = -2*o - 12, -3*x + 2*o + 23 = 4*o. Let w(i) = 2*i**2 - 2*i. What is the smallest common multiple of w(x) and 12? 120 Suppose 5*q = 25, 0*p - 2*p = -q - 15. Suppose 0 = -h - 0*h + 9. What is the lowest common multiple of p and h? 90 Let v = -9 - -13. Let a(p) = p**2 - 3*p - 2. Calculate the smallest common multiple of 22 and a(v). 22 Suppose -c = -3*y - 20, 2*y = 2*c + 3*c - 48. Let b = 11 + -5. Calculate the lowest common multiple of c and b. 24 Calculate the least common multiple of ((-11)/(-3))/(1/6) and 4. 44 Let k = 2113/174 - 154/29. Find the common denominator of k and -23/2. 6 Let z be (-1)/(1 + (-4)/3). Suppose 1595 = z*g + 272. What is the common denominator of 63/8 and 1/2 - g/56? 8 Let h be (-15)/25 + (-536)/(-10). Suppose x + 0*k - 51 = k, 3*k = x - h. Suppose 2*o + 3*o = x. What is the smallest common multiple of o and 7? 70 Let q = -9989/3 + 419603/126. What is the common denominator of -31/5 and q? 630 Let a = -38213/55 - -3498/5. Fi
{ "pile_set_name": "DM Mathematics" }
se Which is smaller: 22819 or 22092? 22092 Is 29033 at least 28962? True Which is bigger: -94143155 or -188286307/2? -188286307/2 Does 376 = -50838? False Which is smaller: -501.46 or -3/2105? -501.46 Which is greater: -8283063 or -57981440/7? -57981440/7 Is -694843 > -15286553/22? True Is -994938184 < -994938182? True Which is greater: 997/40 or 4.61? 997/40 Which is smaller: 2 or -51960051? -51960051 Is 1 greater than or equal to 6/413500951? True Which is smaller: -9 or -465277? -465277 Is -2 >= -145516017? True Which is smaller: -2 or -3443/4164? -2 Is -1 greater than -571/319275? False Is -34696.123 equal to 10? False Are -1320.50273 and 5/2 nonequal? True Are -752210/13 and -57863 non-equal? True Is -2/5 equal to -8632898? False Which is smaller: -15100494/53 or -284915? -284915 Which is bigger: 24230500 or 24230455? 24230500 Which is smaller: -2661341 or -2661338? -2661341 Which is greater: -8/197 or 19.439? 19.439 Is 67597/439 != 155? True Is -0.1 at least 567.9202? False Is 9 greater than or equal to -1458916? True Which is smaller: -98298 or -98810? -98810 Are 170115.92 and -2/11 non-equal? True Which is smaller: 0.14127846 or -16? -16 Which is greater: -528 or 3/47? 3/47 Does 4643357 = -1/3? False Which is greater: 1 or -8054058/67? 1 Is -20758584 at least -20758582? False Which is greater: -278 or 117533? 117533 Which is bigger: -23496 or -23812? -23496 Which is smaller: -0.04 or 1/11420? -0.04 Is 228658 at least 228837? False Is 178.4 at most as big as -13550? False Does 1 = 510/115111? False Which is greater: -1198532 or -49? -49 Which is smaller: -79 or 283775? -79 Do 2.1 and -1879376 have the same value? False Is -0.03022678 > 115? False Which is bigger: -363620/1943 or -186? -186 Is 2108194 < 2108169? False Which is smaller: 1/1285 or 1855? 1/1285 Is -6935669/8 not equal to -866959? True Is -98414034/7 at most as big as -14059149? False Is -124/5 < -0.085698? True Are 2/59385271 and -1 nonequal? True Does -652/67 = -2.81? False Is 1433651/58 != 24718? True Which is bigger: -59398 or -2192? -2192 Which is greater: -5/79986593 or -1? -5/79986593 Which is greater: -169477/111 or -1526? -1526 Which is smaller: -7/3871256 or 1? -7/3871256 Which is smaller: 31/12603 or 57? 31/12603 Which is greater: 12584/5593 or 2? 12584/5593 Which is bigger: 1773471 or 76? 1773471 Which is smaller: -706211/2308 or -306? -306 Which is greater: 289 or 130029/448? 130029/448 Is -3755 smaller than -17472? False Is -6929891 at least as big as -34649452/5? False Is -85395962 greater than or equal to -2? False Is -7/83216165 at most as big as 1? True Is -109940562 >= -549702816/5? True Which is greater: 8375975 or 8375969? 8375975 Is -7155765 at least as big as -0.6? False Which is smaller: 7707258 or 7707256? 7707256 Is 8578372 at most as big as 8578374? True Is 12293843 at least 12293842? True Is 5295946 greater than 21183779/4? True Is 519 not equal to -4.41445? True Is -3212830 at least -2? False Which is smaller: -644 or -4704? -4704 Which is greater: 43 or 23891/565? 43 Is -4289 < -4632? False Is -14956051 at least -14956050? False Which is greater: 682538 or 683150? 683150 Which is smaller: 6283156 or 4/3? 4/3 Which is bigger: 196/1940985 or 0? 196/1940985 Which is bigger: -337 or -2417? -337 Which is smaller: -28507/559 or -52? -52 Is 1/58362623 greater than or equal to -1? True Which is greater: -6187 or -6267? -6187 Is 124/7 less than or equal to 1980? True Which is smaller: -116614685 or -116614684? -116614685 Which is smaller: 1 or -13/20662237? -13/20662237 Are -2258850 and -2258869 unequal? True Which is smaller: 143241/5087 or 29? 143241/5087 Which is greater: -1 or -4317/101495? -4317/101495 Are -613 and -34694/13 equal? False Which is greater: -56601654 or -56601643? -56601643 Is 10 at most 29303/2676? True Which is smaller: 9567 or 13037? 9567 Is 169813/19 at least 8938? False Which is bigger: 78137 or 4380? 78137 Which is smaller: -5936/17447 or 0? -5936/17447 Which is smaller: 337/194453 or 1? 337/194453 Which is greater: 2 or -2335/74433? 2 Which is bigger: -5016112/3 or -1672036? -1672036 Do 1663644 and 1663640 have the same value? False Which is bigger: -37380/56479 or 0? 0 Is 364022 at least as big as 363795? True Is -6931669 not equal to -6931672? True Which is smaller: -56558010 or -56558008? -56558010 Does -0.1 = -165368.8924? False Are 1 and -613/2705 non-equal? True Which is greater: -1879027 or 2? 2 Which is smaller: -3882 or -3646? -3882 Is 2/5 at least as big as 22824088? False Is -1501285 smaller than -19516704/13? True Which is bigger: -19 or 6402938? 6402938 Which is bigger: -4577757 or -4577750? -4577750 Is -273 smaller than -153375/563? True Which is smaller: 432825 or 432826? 432825 Is -5396193 greater than or equal to -5396192? False Which is bigger: -33470/1329 or -26? -33470/1329 Do -8.540382 and -2/23 have the same value? False Which is greater: -1110276 or -1110275? -1110275 Which is greater: 0 or 1273/92596? 1273/92596 Which is bigger: 0.037 or -327300? 0.037 Which is greater: 0 or 2/2165277411? 2/2165277411 Is -189/10 bigger than 0.0872? False Which is greater: -3 or -4388/2405? -4388/2405 Is -7806 bigger than 14225? False Which is greater: -185184/11893 or -15? -15 Which is smaller: -33/1165100 or 0? -33/1165100 Which is smaller: 0 or 12795/76579? 0 Is -2/167 > -5858/109? True Is -350642821 not equal to -350642822? True Which is greater: 1659/2 or -324/125? 1659/2 Is 171264 at most as big as 170242? False Which is greater: -682 or 32784? 32784 Is 450937 less than 451199? True Are -658732 and -658749 equal? False Do 316311/13 and 24332 have the same value? False Which is greater: -10492538 or -10492540? -10492538 Which is smaller: 741 or 1081740/1459? 741 Which is greater: 172578 or 173214? 173214 Which is smaller: 94776/581 or 2? 2 Which is greater: 71796027/2 or 35898014? 35898014 Is 1211 bigger than 1753533/1448? False Which is smaller: -82/66383 or -1? -1 Which is greater: 6359770 or 6359766? 6359770 Which is smaller: 102155268 or 0.5? 0.5 Which is bigger: -29936/4729 or -5? -5 Is 2 greater than or equal to -20836225/3? True Are -110673477 and -1 equal? False Is 1 bigger than -1040/90449? True Are -9312/9493 and 0 non-equal? True Is 1 not equal to 10/167907123? True Is -3770001 bigger than -3770001? False Which is smaller: -825685/8 or -103212? -103212 Is -1068 <= 196487? True Are -20021474/21 and -953403 equal? False Which is smaller: 30867378 or 30867379? 30867378 Which is bigger: -114544511 or -114544510? -114544510 Is 1/47788 smaller than -1951? False Is -4/479877 greater than or equal to 1? False Which is smaller: 1 or -2/738776645? -2/738776645 Which is greater: 21325 or 661033/31? 21325 Is 88298383 <= 88298383? True Which is smaller: 27616554 or 27616599? 27616554 Which is smaller: 31654645 or 253237157/8? 253237157/8 Is -934 greater than or equal to -652520? True Which is smaller: -7690443 or -7690450? -7690450 Which is smaller: -5 or -8878/1935? -5 Is 353056325 greater than 1765281618/5? True Is 80353104 smaller than -2? False Is -36629838 less than -36629836? True Is 3768 greater than or equal to -3478? True Which is smaller: -185316 or -0.15? -185316 Which is smaller: 3220 or 1232943/383? 1232943/383 Which is smaller: 2/78331 or -94/3? -94/3 Is 237339 bigger than 240568? False Is 1299082/27 >= 48115? False Is 11359973 >= 11359973? True Which is smaller: 0.29235 or -537? -537 Is -28642037 at most as big as -28642036? True Is 1 at least -5/67797? True Which is bigger: 0 or 1070/56371? 1070/56371 Which is bigger: 2179 or -0.04442? 2179 Is -582/983311 < -1? False Is -29/1129 < -5.083? False Is -53/2266059 != -1? True Which is greater: -5 or -0.2620072? -0.2620072 Is 19 >= 140146.28? False Is -5028 < -4696? True Which is smaller: -88314 or 168? -88314 Which is smaller: 32776300 or 229434094/7? 229434094/7 Which is greater: 46086963 or 46086964? 46086964 Is 2/8835 at least as big as -18765? True Which is bigger: 62/855 or 601/5? 601/5 Is 358452141 less than 358452141? False Which is smaller: -4960618 or -0.1? -4960618 Is 92313868/11 greater than or equal to 8392170? False Is -73101794 less than -73101796? False Which is smaller: 10872900 or -1? -1 Which is smaller: -0.02589383 or 1? -0.02589383 W
{ "pile_set_name": "DM Mathematics" }
hen i is divided by 2/(-6) + (-56)/(-6). 8 Suppose 45 = 7*l + 8*l. Let x(f) = 11*f + 2. Calculate the remainder when 348 is divided by x(l). 33 Let v(p) = 22*p**2 + 99*p - 1. Let r(x) = -89*x**2 - 394*x + 3. Let f(j) = 2*r(j) + 9*v(j). Calculate the remainder when f(-7) is divided by 20. 16 Let v(z) = -z**3 - 6*z**2 - z + 9. Suppose 16 = 4*m + 28. Let u be v(m). What is the remainder when 100 - (-5)/(u/(-9)) is divided by 13? 12 Let s(v) = -v**3 - 25*v**2 - 14*v + 26. What is the remainder when s(-27) is divided by 27? 26 Let j be 376/(-3)*(-6 - -9). Let g = -341 - j. Calculate the remainder when 174 is divided by g. 34 Suppose 0 = 69*d - 52280 - 98623. Calculate the remainder when d is divided by 155. 17 Suppose -4*s + 4 = j, -2*j - 9*s + 6*s + 8 = 0. Suppose -j*v - 227 + 1679 = -4*y, -1065 = -3*v - 3*y. Calculate the remainder when v is divided by 45. 44 Suppose 5*x - 6 = 9. Suppose -79 - 41 = x*u. What is the remainder when 76 is divided by (1 - (-95)/8) + (-5)/u? 11 Suppose 2*v - 15 + 1 = 0. Suppose 16*o + 10 - 90 = 0. Suppose 3*g = 3*h + 36 - 3, 0 = -o*g - h + 61. What is the remainder when g is divided by v? 5 Let t be (-6)/4*(-16)/12*1. Suppose t*v = -4*u + 584, 7*v - 277 = 6*v + u. Let l(n) = -n**2 - 14*n + 8. Calculate the remainder when v is divided by l(-7). 54 Let s(c) = 2*c**2 - 8*c - 2. Let b(u) = -u**3 + 8*u**2 + 16*u - 34. Calculate the remainder when s(13) is divided by b(3). 55 Let s = 5082 + -4892. What is the remainder when s is divided by 108? 82 Suppose -139 = 6*v - 379. Suppose 3*x + 2*d = -0*x - 14, -5*d + v = -5*x. Let l = 18 + x. What is the remainder when 21 is divided by l? 9 Let r be 4/(28/30359) - (-3 + 8). Suppose -r = -22*u - 328. Calculate the remainder when u is divided by 94. 88 Suppose -5*y = -70 - 735. Suppose 32*z + y = 39*z. Suppose 179 = 3*h + 4*b, 16 = -6*b + 2*b. Calculate the remainder when h is divided by z. 19 Let t(y) = y**2 - 10*y - 31. Let h = -79 - -92. Let p be t(h). Let c = p - 3. Calculate the remainder when 14 is divided by c. 4 Let i = -907 + 1306. Let u = -328 + i. Calculate the remainder when u is divided by 24. 23 Suppose 0 = 17*w - 1173 - 918. Suppose 15*x = 42 + w. Let i(s) = -s + 5. What is the remainder when x is divided by i(0)? 1 Let c = -10691 + 10843. What is the remainder when 1654 is divided by c? 134 What is the remainder when ((-14212)/(-57))/(3/9) is divided by 120? 28 Suppose -2*b - 5*k = 2*b - 24, -12 = -2*b - 4*k. Let u(r) = -r + 59. What is the remainder when u(12) is divided by b? 5 Let d = -525 + 562. Calculate the remainder when 159/(-1 - 5/(-2)) is divided by d. 32 Suppose 230*u - 52252 = -2*u - 7244. What is the remainder when u is divided by 69? 56 Let o(v) = -v**3 - 47*v**2 - 1063. Calculate the remainder when o(-48) is divided by 32. 25 Let u = 223 - 229. Let a(v) = v**2 + 14*v + 59. What is the remainder when 208 is divided by a(u)? 10 Let q = -124 + 182. What is the remainder when 5679 is divided by q? 53 Let y = 7922 + -5485. Calculate the remainder when y is divided by 23. 22 Let g(t) = -348*t - 44. Calculate the remainder when g(-3) is divided by 200. 0 Let p(z) be the first derivative of z**4/4 - z**3/3 + 2*z - 9. Let k be p(2). Calculate the remainder when (-1162)/(-21)*k/4 is divided by 21. 20 Suppose q - 3*f - 206 = 0, 3*f + 789 = 4*q - 2*f. Calculate the remainder when q is divided by 15. 11 Let x(b) = -b**2 - 151*b - 2714. What is the remainder when 839 is divided by x(-130)? 7 Let u = -361 + 329. Let t = u - -168. Calculate the remainder when t is divided by 37. 25 Suppose -k = -5*l - 20, 3*k - 2 = -2*l + 7. Suppose 3*c + 2*t = 979, 51*c + 1352 = 55*c - 4*t. Calculate the remainder when c is divided by k. 1 Suppose 5*q + 3*k = 423, -q = 42*k - 43*k - 91. Calculate the remainder when 7567 is divided by q. 85 Let d be (598/(-8))/(-13) + 3/12. Suppose -115 - 89 = -d*s. What is the remainder when 135 is divided by s? 33 Suppose -11*t - 2*m = -15*t + 1092, -3*t + 819 = 5*m. Calculate the remainder when t is divided by 50 - (-1 - -1) - (10 + -6). 43 Suppose -241 = 96*d - 47*d - 5141. What is the remainder when d is divided by 6? 4 Suppose -89*z + 488647 - 132102 = -28*z. What is the remainder when z is divided by 37? 36 Suppose 21*j - 16*j + 4*x - 510 = 0, -2*x = -5*j + 480. Let a(b) = 18*b - 4. Calculate the remainder when j is divided by a(3). 48 Let c be 1 + (-6 - (-1 - -2 - 3)). Let y = c + 7. Suppose -y*b + 357 = 3*b. What is the remainder when 149 is divided by b? 47 Suppose v - 2*u - 333 - 194 = 0, -527 = -v + 5*u. What is the remainder when v is divided by 8? 7 Let y(d) = -3*d - 18. Suppose -10 = m + 4*s - s, -m - 2*s - 8 = 0. Let x be -3*m*(-2)/3. Calculate the remainder when 27 is divided by y(x). 3 Let m = 2157 + -2143. Calculate the remainder when 825 is divided by m. 13 Let x(d) = 7*d**2 - 1. Suppose -5*n = -97 + 22. Suppose 5*w = n + 10. What is the remainder when x(1) is divided by w? 1 Suppose -6*l - 4*l = 10. Let z be -57 + (l - (-2 + 5 - 2)). Let v = -49 - z. What is the remainder when 27 is divided by v? 7 Suppose 3*i = a - 3, -14 = -4*a + 5*i - 2. What is the remainder when a/((-3)/(-4)) - (-62 - 2) is divided by 24? 20 Let m = 108 - 4. Suppose 4*x + 0*x = m. What is the remainder when x is divided by (-2 - 9 - -13)*((-35)/(-10) - (-10)/20)? 2 Suppose 74468 + 51015 = 116*s - 51417. What is the remainder when s is divided by 30? 25 What is the remainder when 6*(-12)/18 - (-402)/(-12)*-4 is divided by 61? 8 Suppose -2002 = -3*i + v, 0 = -4*i + v + 2599 + 70. Let b = -625 + i. Calculate the remainder when 153 is divided by b. 27 Let n = 590 - 582. Let y(b) = -19*b**3 + b**2 - b - 1. Suppose 4*a + 7 = 3. What is the remainder when y(a) is divided by n? 4 Let t be ((120/18)/(-10))/(2/15). What is the remainder when (6*(-1)/t)/((-42)/(-7700)) is divided by 56? 52 What is the remainder when 129 is divided by (9 - 0)*(-14 + -4*(-144)/27)? 63 Let t = -414 - -1218. Let k = -232 + t. Calculate the remainder when k is divided by 23. 20 Suppose 166663 = 88*k - 44929 + 50464. What is the remainder when k is divided by 80? 71 Let w(d) = -d**3 + 24*d**2 - 21*d + 28. Let s be w(24). Let v = -327 - s. What is the remainder when v is divided by 10? 9 Calculate the remainder when ((-2)/(-4))/((-96161)/32058 - -3) is divided by 434. 365 Let x = 54 - 42. Let m be 2 + x + (-1 - 3). What is the remainder when 17 is divided by (-6)/(-2)*(3 - m/15)? 3 Suppose -j = -3*g - 38, 1 = -3*g + 4*j - 25. Let a = 131 + -118. Calculate the remainder when a is divided by (g/(-6))/(5/15). 6 Let l(u) = -u**3 + 7*u**2 - 4*u - 4. Let r be l(6). Suppose -13*s + 15*s = -r. What is the remainder when (-6)/s*(-1400)/(-30) is divided by 22? 4 Suppose 5*w - 2*a + 1279 = 7134, -5*w + 5825 = 4*a. Calculate the remainder when w is divided by 69. 65 Suppose 3*r = 4*s + 48, 5*r = -4*s - 68 + 20. Let c be s/(-9) + (-3)/9. Calculate the remainder when 19 is divided by 11 + (-1 - c - 2). 5 Let n = -5019 + 5137. Calculate the remainder when n is divided by 19. 4 Let h(k) = 2*k**3 + 22*k**2 - 7*k + 178. Calculate the remainder when 1292 is divided by h(-11). 17 Let u be (3/8*-4)/((-3)/(-724)). What is the remainder when 1258 is divided by (-2)/10 + u/(-10)? 34 Let w be 6/18 + (-1)/3. Suppose 6*t - 12 = -w*t. Suppose 0 = -t*i + 6*i - 128. Calculate the remainder when i is divided by 11. 10 Suppose 2*p + 4*y = 3*p - 13, -2*y = 0. Calculate the remainder when 12663/81 - (592/48 - 11) is divided by p. 12 Let n(t) = -t**3 + 10*t**2 - 5. Let r = 12 - 2. Let x be n(r). Let y(v) = 2*v**2 + 5*v + 12. Calculate the remainder when y(x) is divided by 8. 5 Let k(u) = -590*u + 4737. What is the remainder when 123 is divided by k(8)? 4 Let o be (4 - 4) + 4 + -1 + -1. Calculate the remainder when 190 is divided by o + 43/(-4)*12/(-3). 10 Suppose 17 = 3*w - 64. What is the remainder when (-5)/(4761/(-1179) - -4) is divided by w? 23 Suppose 5*m - 4*z + 0*z - 238 = 0, m - z - 47 = 0. Suppose -m*k + 988 = -24*k. Calculate the remainder when 188 is divided by k. 36 Let j(z) = -z**3 - 10*z**2 - 23*z - 1. Let v be j(-4). Calculate the remainder when ((-67)/4)/(v + 190/40) is divided by 23. 21 Let l be 3 + -2 - 40/(-2). Calculate the remainder when (2/(-4))/(l/(-7056)) is divided by 54. 6 Suppose 44636 = -57*h +
{ "pile_set_name": "DM Mathematics" }
0.6 Let r be (-1)/(-1) + 14/(-10). Let t = -0.2 + -2.8. Which is the closest to r? (a) -2 (b) t (c) 0.3 c Let j = 3742/13 - 288. Let r be (2/(-5))/((-54)/(-30)). Which is the closest to 2/7? (a) j (b) -0.4 (c) r a Let i = 115/3 + -38. Let n = 0 - 0.3. Let o = 41/2 - 22. What is the closest to n in o, 3, i? i Suppose 8*l - 5*l = 3. Let z = 2.04 + -0.04. What is the closest to 0.1 in z, -2, l? l Let f = -54 - -58. Suppose -2*x - 6 = -3*g + x, -2*g = 5*x + 3. Let p be 16/(-20) - 2/(-5). Which is the closest to g? (a) p (b) -1 (c) f a Let r(n) = n**3 + 5*n**2 + 5*n + 2. Let m be r(-4). What is the nearest to -0.1 in m, 0.1, 0.4? 0.1 Let x = 0.7 + 2.3. Let j = x + -5. Let m = 0 + 0.5. What is the nearest to 0 in m, j, 3? m Let g = -0.1 - 0. Let j be 36/72*(-2)/10*-2. Which is the closest to g? (a) -2 (b) j (c) -0.3 c Let w be -2 + (-39)/(-9) + -1. Let o = 20 - 16. What is the nearest to 0 in w, -1/2, o? -1/2 Let o = 6.97 - -0.03. Let i = 7.1 - o. Which is the closest to 1? (a) -0.1 (b) i (c) -1 b Let t be 3/6*2*-1. Let b = 13.7 - 14.2. Let x = 3 - 2. What is the nearest to t in b, 0.5, x? b Let p = -0.3 - -1.3. Which is the nearest to 0.1? (a) 4 (b) 2 (c) p c Let k = -0.16 + -4.84. Which is the closest to -1? (a) -2/11 (b) -0.2 (c) k b Let n = 4.6 - 5. Let g be (18/189)/((-4)/(-18)). Which is the nearest to g? (a) -3 (b) n (c) -1 b Let x be ((-3)/9)/(5/(-5)). Which is the nearest to 0? (a) 5 (b) x (c) 3 b Let z = 0.7 + 4.3. Which is the nearest to 1? (a) 1/3 (b) z (c) -1/6 a Let w = -0.9 + -0.1. Let d be ((-20)/15)/((-2)/(-42)). Let j be (-2 - -1) + d/(-36). Which is the nearest to w? (a) 3 (b) j (c) 2 b Let t = -4.99 - 0.01. Which is the closest to 2? (a) 4 (b) -4 (c) t a Let m = -14.8 + 13.8. Which is the closest to 0.1? (a) 20 (b) m (c) 1 c Let d = 12 - 7.9. Let f = d - 4. Which is the closest to f? (a) 1/2 (b) -0.03 (c) 0 c Let s = -3.2 + 3. What is the nearest to 1/4 in s, -5, 0? 0 Let r be ((-1)/3)/((-66)/(-36)). Which is the nearest to -0.1? (a) r (b) -0.5 (c) -1 a Let w be (2/(-4))/(5/(-2)). Suppose -2*m + 20 = -0*q + 2*q, -5 = 2*m - 3*q. Which is the closest to w? (a) m (b) -3 (c) 0 c Suppose 0*u = -3*u - 15. Let h be 3 - 4/12*11. Which is the closest to 1/24? (a) h (b) u (c) 0.1 c Let k = -4.108 - -0.108. What is the closest to -1/4 in k, -11, 0.5? 0.5 Let n = -4/95 + -3/19. What is the nearest to 0 in -4/21, -1, n? -4/21 Let y = -174/473 - -8/43. What is the closest to -1/6 in 0.5, y, 4? y Let k = -13/3 - -4. Which is the closest to -2? (a) 4 (b) k (c) -1 c Let x = 313 - 317. Let b = 45 + -40.4. Let z = b + -5. What is the closest to -0.1 in 1/2, z, x? z Let f = 21.6 + -22.6. Let j = 5 + -2. What is the nearest to f in j, 0.2, 2? 0.2 Let l = 12.95 + 0.05. Let v = 8 - l. Suppose 0 = 3*r - 4*r - 2. Which is the closest to -1/4? (a) -1 (b) r (c) v a Suppose -2 + 23 = 4*p + d, 2*d - 26 = -4*p. What is the closest to 2 in -3/7, 3, p? 3 Let r = -0.2 + 0.2. Let q = 6.531 + 0.069. Let i = q - 7. Which is the closest to r? (a) 1/7 (b) -0.5 (c) i a Let n = -155/2 - -79. Which is the nearest to n? (a) -1 (b) 0 (c) -0.1 b Let t = 0.2 - 1.2. Let k = 1.1 + -0.9. What is the closest to t in 0.4, k, -4? k Let x = -29 - -33. Let k = -6 + 6. Let v = k + 0. Which is the closest to v? (a) 1 (b) x (c) 0.2 c Let r = 0.57 + -0.3. Let a = -0.17 + r. Let j = 4 + -4.4. What is the closest to a in j, 4/7, 1? 4/7 Let m = -55.2 - -55. Which is the nearest to 1/2? (a) m (b) 2 (c) 4 a Let w = 38 + -38.5. Which is the closest to 0? (a) w (b) 8 (c) 2/5 c Suppose 3*y - 3 = -2*s + 6*y, 3*y = -4*s - 3. Let l(j) = j**2 - 3*j - 4. Let w be l(-2). Which is the nearest to -0.1? (a) s (b) w (c) 3 a Let w = -106 - -207/2. Let u = -0.16 + 0.06. Which is the closest to -0.1? (a) w (b) -0.3 (c) u c Suppose -3*k = 2*k - 20. Suppose 0 = -r + 2, -2*z = -k*z + r + 12. Suppose -2*t - 3 = -z. What is the closest to t in 2/7, -0.4, 0.3? 0.3 Let w = -49/36 - -10/9. Let j = 0.08 + -3.08. Which is the closest to 0.1? (a) 0.1 (b) j (c) w a Let t be -3*220/(-210) - (3 + 0). Let u be 24/14 + (-2)/(-7). Suppose 3*z - 4*z = -u. Which is the closest to -0.1? (a) t (b) 3 (c) z a Let q(x) = 7*x**2 - 3*x + 1. Let r be q(2). Let j = r - 71/3. Which is the closest to 1/4? (a) 6/11 (b) -3 (c) j a Let j = -0.03 - -2.03. Let h = 3 + j. Let o = -16/5 + 101/30. What is the nearest to 0.3 in -2, h, o? o Let v = -12/25 - -158/225. Suppose -2*h = 2 - 0. What is the closest to v in h, 2/3, 0? 0 Let x be ((-4)/(-5))/((-15)/(-75)). Which is the nearest to x? (a) 1/3 (b) -1 (c) -2/7 a Let i = -13 + 12.85. Let v = i + 0.15. Let z = 4.8 - 0.8. Which is the closest to v? (a) 2/13 (b) -0.1 (c) z b Let x(n) be the first derivative of n**2/2 - 4*n - 2. Let m be x(5). Which is the closest to -0.1? (a) 2/7 (b) -3 (c) m a Let d = -88 + 88.1. Which is the nearest to 1/4? (a) -0.5 (b) 1/5 (c) d b Let q be 0 - (2 + (-8)/3). Let s be (((-84)/(-10))/7)/((-27)/30). Which is the nearest to q? (a) -1/4 (b) 4 (c) s a Let h = -51 + 56. Let o = -7.3 - -7. Which is the nearest to -0.1? (a) o (b) -5 (c) h a Let t be 1/2 - (3/(-3))/2. What is the closest to 1 in -1, -6, t? t Let x = -0.3 - 6.7. Let t = x + 8. Which is the nearest to t? (a) 0 (b) 4 (c) -1 a Let j = -463/4 + 141/4. Let x = j + 79. What is the nearest to -0.1 in 1/9, x, 0.4? 1/9 Let v = -35/4 + 229/28. What is the nearest to 3 in 4/9, 3, v? 3 Suppose -6 - 9 = k - 4*n, -21 = 3*k - 4*n. Let i = 0.2 + 0. What is the nearest to 1/2 in k, 3/8, i? 3/8 Let k = -17 + 30. Let g = 13.2 - k. Let o = 0.03 - 0.33. What is the closest to g in -4, 2/3, o? 2/3 Let v = 33 - 69/2. Let d = -0.3 - -0.1. Let n = -5.4 + 5.9. Which is the nearest to 1/4? (a) d (b) n (c) v b Let w = -1.2 - -0.2. Let u = 9 + -9.2. Let f = u - -1.2. Which is the nearest to f? (a) 3/7 (b) w (c) 2 a Let p = -0.89 + -0.11. Let y = -1 - -4. Which is the closest to p? (a) 2/3 (b) -2/5 (c) y b Let d = -0.146 + -0.054. What is the closest to -0.01 in -2, d, 1/7? 1/7 Let h be (-132)/320 - (-3)/15. Let q = h + 5/16. Let z = 6.7 + -7. Which is the nearest to 0.1? (a) 3 (b) q (c) z b Let b = 157/9 + -17. Let s = 10/9 - b. What is the nearest to 0 in 2/17, s, 2? 2/17 Let p = -26 + 23. Which is the nearest to 1/4? (a) -2/3 (b) p (c) 4 a Let j(s) = -2*s**2 + 3*s + 2. Let k be j(3). Let n = 34/5 + k. Let g be (-1)/(-2) + (-6)/8. Which is the closest to g? (a) -4 (b) n (c) 0.2 b Let o = 1 - 0.9. Let i = o - 0.2. Let f = 0.091 + 0.309. What is the nearest to i in f, -0.1, 5? -0.1 Let w = 1.2 + -1. Let g = 0.16 + -0.46. Let d = g - w. Which is the closest to -0.2? (a) 1 (b) -5 (c) d c Let h = 0.03 + 0.17. Which is the closest to -0.1? (a) 3 (b) h (c) 0 c Let b = 13/14 + -10/7. Let y = 4 + -8. Let q = 5 + y. What is the nearest to -1 in -1, b, q? -1 Suppose -y + 7*n - 2*n = 19, 0 = 4*y - 4*n - 4. What is the nearest to y in -2, -5, -2/7? -2/7 Suppose -3*f = -3 - 3. Which is the closest to 0.1? (a) f (b) 1.5 (c) -0.5 c Let k = -19/12 + 4/3. Let t = -3 + 7. Which is the nearest to -1/3? (a) -3 (b) k (c) t b Let y = -2 + 1.5. Let m = 0.059 + 0.041. Which is the closest to 1/3? (a) -4 (b) y (c) m c Suppose -h - 17 = -j - 3*j, -3*h - j = -1. Which is the closest to -1/5? (a) -2/5 (b) 2 (c) h a Let k = 0.3 + 0.7. Let m = -0.63 + 0.53. Which is the nearest to k? (a) m (b) 5 (c) -5 a Let q = 22.9 - 23. Let d(r) = -r**3 - r**2 + r. Let g be d(-2). Which is the nearest to 0? (a) 0.2 (b) g (c) q c Let k = 0 - -1. Let u = k + -1.1. What is the closest to u in 2, -4, -0.5? -0.5 Suppose 4*w - 12 = 2*n, -3*w + n = -9 - 0. Suppose h = w*h - 4*p - 24, -2*p - 4 = h. Let z be (1/(-3))/(h/(-3)). What is the closest to z in 0.3, 1, -0.2? 0.3 Suppose v - 37 = -36. Which is the closest to 1? (a) v (b) -1/3 (c) -0.4 a Let i be (-7)/6*3/21. Let z = 3.8 + 1.2. What is the nearest to -2 in 0.2, z, i? i Let d = -4.3 - -3.8. Let s = 5 - 3. Suppose -3 = 5*b + s. What is the closest to -2 in d, b, 0.2? b Let p be ((-22)/(-165))/(1/(-5)). Let d = 6 - 5. Which is the closest to d? (a) p (b) -1 (c) -2/5 c Suppose -4*t - 3 + 15 = 0. Let k be t - (-1 + 3) - 1. Let q be (-9)/(-9) - (0 + 1). Which is the nearest
{ "pile_set_name": "DM Mathematics" }
litres. 953.5732 How many months are there in 13/5 of a millennium? 31200 How many minutes are there in 1/24 of a day? 60 How many grams are there in 7750.513 kilograms? 7750513 How many litres are there in 67.22015ml? 0.06722015 What is 18/5 of a millennium in months? 43200 How many meters are there in 6.340847mm? 0.006340847 What is 6060.259 nanograms in milligrams? 0.006060259 How many millilitres are there in 97920.76l? 97920760 Convert 23.23741 kilograms to grams. 23237.41 How many seconds are there in 7/2 of a minute? 210 What is 27/5 of a meter in centimeters? 540 Convert 7.637801kg to grams. 7637.801 What is 4/15 of a hour in seconds? 960 What is 467.6304ml in litres? 0.4676304 What is 29/5 of a minute in seconds? 348 What is 404.8996 tonnes in kilograms? 404899.6 How many litres are there in 167.0415ml? 0.1670415 Convert 5061.907us to nanoseconds. 5061907 How many decades are there in twenty-nine halves of a millennium? 1450 Convert 2.38707t to grams. 2387070 What is 25/2 of a microgram in nanograms? 12500 What is 131030.94 months in decades? 1091.9245 Convert 610.4973 months to years. 50.874775 How many weeks are there in 166608.6408 milliseconds? 0.00027547725 How many months are there in 1/4 of a decade? 30 How many months are there in 824.6244 centuries? 989549.28 What is 25/4 of a week in minutes? 63000 How many seconds are there in 1/6 of a day? 14400 How many millilitres are there in seven halves of a litre? 3500 How many meters are there in 18/5 of a kilometer? 3600 How many millilitres are there in three tenths of a litre? 300 How many millilitres are there in fourty-eight fifths of a litre? 9600 What is 89356.58 days in seconds? 7720408512 How many milliseconds are there in 37.6697 weeks? 22782634560 How many years are there in seventy-six fifths of a decade? 152 What is 64.7982 millennia in decades? 6479.82 How many millimeters are there in 180.8115 micrometers? 0.1808115 What is 0.2453417 years in centuries? 0.002453417 What is 57/2 of a millimeter in micrometers? 28500 What is eleven halves of a tonne in kilograms? 5500 What is 3261.089 tonnes in milligrams? 3261089000000 What is thirty-four fifths of a millisecond in microseconds? 6800 What is 3.481447 decades in months? 417.77364 How many centimeters are there in 1/4 of a kilometer? 25000 Convert 683.2148 litres to millilitres. 683214.8 What is one eighteenth of a hour in seconds? 200 What is 18/5 of a kilometer in meters? 3600 How many litres are there in 8.906504ml? 0.008906504 What is one quarter of a millimeter in micrometers? 250 How many millilitres are there in 11/4 of a litre? 2750 How many nanoseconds are there in seventy-five quarters of a microsecond? 18750 Convert 861.6164ng to milligrams. 0.0008616164 How many litres are there in 5.456565ml? 0.005456565 What is 529446.24 nanoseconds in days? 0.00000000612785 How many millilitres are there in twenty-one eighths of a litre? 2625 What is 21/2 of a microgram in nanograms? 10500 How many micrometers are there in 33/5 of a centimeter? 66000 How many nanometers are there in 6/25 of a micrometer? 240 How many months are there in 6/25 of a century? 288 What is twenty-five halves of a meter in millimeters? 12500 What is 430050.2ng in kilograms? 0.0000004300502 What is 892395.6 months in millennia? 74.3663 How many millimeters are there in 2117.528nm? 0.002117528 What is 41/2 of a kilometer in meters? 20500 How many milligrams are there in 7.972268 tonnes? 7972268000 What is 3/5 of a meter in centimeters? 60 What is 51/4 of a millennium in years? 12750 How many years are there in 3/10 of a millennium? 300 Convert 9.618699l to millilitres. 9618.699 Convert 55.89983 milligrams to nanograms. 55899830 How many kilograms are there in 8.701335ug? 0.000000008701335 What is 0.7594764cm in micrometers? 7594.764 How many grams are there in seventy-one quarters of a kilogram? 17750 How many minutes are there in twelve sevenths of a week? 17280 How many minutes are there in seven quarters of a hour? 105 What is 92914.88l in millilitres? 92914880 Convert 2710750.5 minutes to days. 1882.465625 How many minutes are there in 27/5 of a day? 7776 What is sixteen fifteenths of a day in seconds? 92160 What is 1/16 of a minute in milliseconds? 3750 How many grams are there in thirteen eighths of a kilogram? 1625 What is 3/40 of a milligram in nanograms? 75000 What is 49/4 of a millisecond in microseconds? 12250 What is 3/8 of a decade in months? 45 How many years are there in twenty-one fifths of a millennium? 4200 Convert 373752.9ml to litres. 373.7529 What is three tenths of a kilometer in centimeters? 30000 What is 17/4 of a litre in millilitres? 4250 What is 87.13653ng in grams? 0.00000008713653 What is 1.306323 millennia in years? 1306.323 What is 45/2 of a litre in millilitres? 22500 How many decades are there in 33/5 of a millennium? 660 How many minutes are there in 1/30 of a hour? 2 How many seconds are there in 2/9 of a day? 19200 What is 469.565 meters in millimeters? 469565 How many millilitres are there in three fifths of a litre? 600 How many hours are there in 98.15445 minutes? 1.6359075 How many decades are there in 52.74671 centuries? 527.4671 How many millilitres are there in 1/5 of a litre? 200 How many years are there in 676277.2 centuries? 67627720 How many milliseconds are there in four thirds of a minute? 80000 What is 6.598473 milligrams in kilograms? 0.000006598473 What is three tenths of a second in milliseconds? 300 How many litres are there in 200.4545ml? 0.2004545 How many millimeters are there in twenty-six fifths of a meter? 5200 How many months are there in 45/2 of a decade? 2700 How many litres are there in 52.3679 millilitres? 0.0523679 How many millilitres are there in three tenths of a litre? 300 How many nanograms are there in 1/4 of a microgram? 250 What is 2.586357s in microseconds? 2586357 Convert 80958.85 decades to millennia. 809.5885 How many millilitres are there in three fifths of a litre? 600 What is twenty-nine fifths of a kilometer in meters? 5800 How many litres are there in 34.9132 millilitres? 0.0349132 What is 371381.5mg in nanograms? 371381500000 What is one tenth of a gram in milligrams? 100 How many kilometers are there in 703050.6 meters? 703.0506 How many litres are there in 40.4385 millilitres? 0.0404385 How many nanograms are there in 11/4 of a microgram? 2750 What is seven eighths of a litre in millilitres? 875 Convert 0.2318872 grams to tonnes. 0.0000002318872 How many millilitres are there in 3.036049l? 3036.049 What is 782.9439 millilitres in litres? 0.7829439 What is 3/40 of a litre in millilitres? 75 How many kilometers are there in 41.0229 nanometers? 0.0000000000410229 Convert 41.7282ml to litres. 0.0417282 Convert 43.48671 micrometers to centimeters. 0.004348671 How many kilograms are there in 17/4 of a tonne? 4250 What is 13/8 of a millisecond in microseconds? 1625 What is 39917.69 litres in millilitres? 39917690 What is 83.70168 months in decades? 0.697514 What is 47.28551 hours in minutes? 2837.1306 How many days are there in sixty-six sevenths of a week? 66 How many centimeters are there in 0.8173444m? 81.73444 How many grams are there in twenty-one halves of a kilogram? 10500 How many millilitres are there in 61/4 of a litre? 15250 How many nanograms are there in 1/10 of a microgram? 100 What is 27.00354 centuries in years? 2700.354 How many millilitres are there in 54/5 of a litre? 10800 What is 5/8 of a decade in months? 75 Convert 2231.8014 months to decades. 18.598345 What is 690.8934 litres in millilitres? 690893.4 How many months are there in 1/15 of a decade? 8 Convert 98.05279s to nanoseconds. 98052790000 Convert 2.508875g to kilograms. 0.002508875 Convert 6014.8521us to hours. 0.00000167079225 Convert 7.909031 millilitres to litres. 0.007909031 What is 11/10 of a second in milliseconds? 1100 How many micrometers are there in 7699.8nm? 7.6998 What is 47731.1 tonnes in grams? 47731100000 What is 7.0185042s in hours? 0.0019495845 What is fourty-two fifths of a millimeter in micrometers? 8400 How many months are there in 17/2 of a century? 10200 What is 4/15 of a day in seconds? 23040 What is 9.439269 decades in months? 1132.71228 What is 13/5 of a meter in
{ "pile_set_name": "DM Mathematics" }
- 1)**2*(s + 9)/7 Let y(x) be the first derivative of -3/5*x**5 + 10 + 0*x + 3/4*x**4 + 0*x**3 + 0*x**2. Find d, given that y(d) = 0. 0, 1 Let d(v) = -v**3 + v**2 + 22*v - 10. Let u be d(5). Let n(f) be the third derivative of 1/80*f**6 - 3*f**2 + 0*f + 0 + u*f**4 + 0*f**5 + 0*f**3. Factor n(o). 3*o**3/2 Let x be ((-8)/5 - -2)/((-10)/(-100)). Determine j so that 23*j**4 - j**5 - 4*j - 54*j**x - 13*j**2 + 0*j**2 - 15*j**3 + 24*j**4 = 0. -4, -1, 0 Let j(s) be the second derivative of s**7/42 + 2*s**6/15 + s**5/5 - s**4/6 - 5*s**3/6 - s**2 - 72*s. Let j(w) = 0. Calculate w. -2, -1, 1 Let z(p) be the first derivative of -3*p**5/40 + 15*p**4/16 - 33*p**3/8 + 27*p**2/4 - 857. Factor z(t). -3*t*(t - 4)*(t - 3)**2/8 Let v(y) be the first derivative of y**3 - 3*y**2 + 24 + 3/4*y**4 + 0*y. Suppose v(a) = 0. What is a? -2, 0, 1 Let p(h) be the first derivative of -4*h**6/15 + 14*h**5/25 + 9*h**4/20 - 11*h**3/15 + h**2/5 + 465. Find v, given that p(v) = 0. -1, 0, 1/4, 1/2, 2 Let x(o) be the second derivative of o**7/252 + o**6/180 - 22*o. Determine r so that x(r) = 0. -1, 0 Let i(p) be the second derivative of p**8/2688 - p**7/840 + p**5/240 - p**4/192 - 4*p**2 + 8*p. Let z(g) be the first derivative of i(g). Factor z(v). v*(v - 1)**3*(v + 1)/8 Suppose 10 - 17 = 4*u + 5*l, 5*u - 5*l = 25. Factor 1/2*m**u + 0 - m. m*(m - 2)/2 Suppose 0*z - z + m = -3, 0 = -3*z + 2*m + 10. Determine b, given that -16*b**3 + 529*b**5 - 10*b**z + b - b - 531*b**5 - 8*b**2 = 0. -2, -1, 0 Let z be (-108)/(-352) + (-3)/24 - (-340)/187. Factor -z*b + 0 + 4/3*b**2 + 2/3*b**3. 2*b*(b - 1)*(b + 3)/3 Suppose 5*y + 7 - 17 = 0. Suppose 6 = y*c + 2. Factor 13 - 4 - 3*k - 6*k**2 + 0*k**c + 0*k**2. -3*(k - 1)*(2*k + 3) Find q, given that -12/5 - 58/5*q - 8/5*q**3 - 42/5*q**2 = 0. -3, -2, -1/4 Let n(v) be the third derivative of v**7/42 - v**5/12 - 140*v**2. Factor n(x). 5*x**2*(x - 1)*(x + 1) Let z(f) be the first derivative of -f**4/4 - 2*f**3/3 + 10*f**2 - 24*f + 26. Solve z(i) = 0 for i. -6, 2 Let i(p) = -2*p**3 - 2*p**2 - 2*p. Let l(y) = 14*y**3 - 121*y**2 + 77*y + 66. Let j(b) = 6*i(b) + l(b). Factor j(m). (m - 66)*(m - 1)*(2*m + 1) Let k(n) = -7 - 4*n - 5*n + 8*n. Let p be k(-4). Let v(w) = 7*w**2 + 2*w. Let g(y) = -6*y**2 - 3*y. Let h(s) = p*v(s) - 4*g(s). Factor h(m). 3*m*(m + 2) Let s(y) be the third derivative of -y**5/60 - 5*y**4/12 + y**3 - 2*y**2. Let r be s(-6). Factor r*f**2 - 5 - 28*f**2 + 3. 2*(f - 1)*(f + 1) Find q, given that 1/5*q**4 - 2/5*q + 0 + 2/5*q**3 - 1/5*q**2 = 0. -2, -1, 0, 1 Let j(t) be the first derivative of -t**5/60 - 7*t**4/24 - t**3 + t**2/2 - 9. Let y(p) be the second derivative of j(p). Factor y(f). -(f + 1)*(f + 6) Suppose -6751*n = -6753*n + 4. Factor 0*a**4 + 0*a + 0 + 0*a**n - 1/4*a**5 + 1/4*a**3. -a**3*(a - 1)*(a + 1)/4 Let h = -26673/11 + 2425. Factor h - 2/11*b**2 + 0*b. -2*(b - 1)*(b + 1)/11 Let g(w) = -24*w**2 - 16*w + 14. Let d(p) = 12*p**2 + 8*p - 8. Let l(x) = 7*d(x) + 4*g(x). Solve l(j) = 0 for j. -2/3, 0 Let y be 204/255*10/96. Let u(m) be the first derivative of -1/20*m**5 + 0*m**2 + y*m**3 + 1/24*m**6 + 0*m - 1/16*m**4 + 7. Solve u(j) = 0. -1, 0, 1 Let l = 16 + -21. Let u(c) = c**4 + 3*c**3 + c**2 + 3*c - 8. Let m(k) = -k**3 + 1. Let a(r) = l*u(r) - 30*m(r). What is s in a(s) = 0? -1, 1, 2 Let o(u) be the second derivative of -5*u + 0*u**3 - 1/100*u**5 - u**2 + 0 + 0*u**4. Let l(s) be the first derivative of o(s). Factor l(j). -3*j**2/5 Let l(u) be the third derivative of u**7/60 + 47*u**6/240 + 21*u**5/40 + 13*u**4/48 - 5*u**3/6 + 15*u**2 - 2. Factor l(i). (i + 1)**2*(i + 5)*(7*i - 2)/2 Let z(m) = -5*m**2 + 137*m - 977. Let p(f) = -5*f**2 + 138*f - 978. Let s(h) = 3*p(h) - 2*z(h). Let s(i) = 0. What is i? 14 Let l(j) = -j**2 - 11*j + 26. Let v be l(2). Let o(i) be the third derivative of 0*i**5 + 0*i**3 + v + 1/36*i**4 - 1/180*i**6 + 0*i - 6*i**2. Factor o(f). -2*f*(f - 1)*(f + 1)/3 Let q(r) be the first derivative of 3/2*r**2 + r**3 - 1/8*r**4 - 5 - 1/20*r**5 + 0*r. Let f(u) be the second derivative of q(u). Factor f(j). -3*(j - 1)*(j + 2) Let w(z) be the third derivative of 0 + 1/120*z**5 + 25/3*z**3 + 0*z + 5/12*z**4 - 10*z**2. Let w(f) = 0. Calculate f. -10 Let t = -29641/5 + 5929. What is d in 0 - 4/5*d + t*d**3 + 6/5*d**2 = 0? -2, 0, 1/2 Let k be -4*-2*(239/(-80) + 3)*6. Determine y so that k*y + 4/5*y**2 + 1/5*y**3 + 0 = 0. -3, -1, 0 Suppose 0 = 112*x + 148*x - 780. Find u, given that -280/11*u - 374*u**x + 16/11 + 242*u**4 + 156*u**2 = 0. 2/11, 1 Let b(c) be the third derivative of c**7/1470 + c**6/210 - c**5/35 - 4*c**4/21 + 32*c**3/21 + 39*c**2 + 2. Determine f, given that b(f) = 0. -4, 2 Let g(u) be the second derivative of -u**7/98 - u**6/35 + 3*u**5/20 - u**4/7 - 63*u - 1. Find h, given that g(h) = 0. -4, 0, 1 Solve 6/17*v**3 - 2/17*v**2 - 4/17*v + 0 + 2/17*v**4 - 2/17*v**5 = 0 for v. -1, 0, 1, 2 Let v be (-2 - 4*-3) + 0/(-6). Let 5*d**2 + 3*d + 4*d**2 + 6*d**3 + 10*d**2 - v*d**2 = 0. Calculate d. -1, -1/2, 0 Let p(b) = 4*b**2 + 40*b - 6. Let w(g) = g**2 - 2. Let y(l) = -p(l) + 2*w(l). Let i be y(-20). Find q such that -2/5*q + 0 + 2/5*q**i = 0. 0, 1 Solve -3/4*h**4 - 3/4 + 0*h + 3/2*h**2 + 0*h**3 = 0 for h. -1, 1 Suppose 1 - 3/2*h**2 + 1/2*h = 0. What is h? -2/3, 1 Let h(k) = -k**2 + 9*k - 21. Let w be h(5). Let g be w/(-4) + (-2)/8. What is x in -1/2*x**3 + 0 + g*x**4 + 0*x**2 + 1/4*x**5 + 1/4*x = 0? -1, 0, 1 Let u(b) = -10*b**3 + 14*b**2 + 40*b. Let q(r) = -r**3 + 2*r**2. Let f(k) = -8*q(k) + u(k). Factor f(s). -2*s*(s - 4)*(s + 5) Let u(a) be the first derivative of 2*a**5/35 - 2*a**4/7 - 12*a**3/7 - 20*a**2/7 - 2*a + 25. Let u(k) = 0. What is k? -1, 7 Let x = -1/240 - -2521/240. Let q be ((-209)/5)/19*(-195)/26. Solve -x*u**2 - 3 - q*u + 33/2*u**3 + 27/2*u**4 = 0 for u. -1, -2/9, 1 Let a(k) be the second derivative of 5/2*k**3 + 1/4*k**4 + 0 - 13*k + 9*k**2. Factor a(v). 3*(v + 2)*(v + 3) Let m(p) be the third derivative of p**7/1995 - 3*p**6/380 - 7*p**5/190 - 11*p**4/228 + 61*p**2. Factor m(b). 2*b*(b - 11)*(b + 1)**2/19 Let q(s) = s**2 + 5*s - 2. Let t(g) = 3*g. Let d be t(-2). Let r be q(d). Factor -2*x**2 - 2*x**4 + 2*x**r - 2*x**4 - 4*x**3. -2*x**2*(x + 1)**2 Let q(b) be the first derivative of -5*b**3/3 - 150*b**2 - 4500*b - 138. Factor q(w). -5*(w + 30)**2 Let q(x) be the second derivative of x**4/48 - 79*x**3/24 - 10*x**2 - 572*x. Factor q(w). (w - 80)*(w + 1)/4 Solve -52*y**3 + 3*y**5 - 144*y**3 - 48*y + 14*y**2 - 8*y**4 + 23*y**5 + 210*y**2 + 2*y**5 = 0 for y. -3, 0, 2/7, 1, 2 Solve 0 - 1/4*s**2 - 39/2*s = 0. -78, 0 Let q(p) be the first derivative of 5 + 1/5*p**5 + 0*p**3 + 3/4*p**4 - 2*p**2 + 0*p. Determine a so that q(a) = 0. -2, 0, 1 Suppose 5*y + 3*a + 3 = 0, 5*y + 0*a - 5*a - 45 = 0. Factor 4/7*h**2 - 2/7*h - 2/7*h**y + 0. -2*h*(h - 1)**2/7 Let f(w) = -6*w - 4. Let h(o) = -o**2 + 4*o - 5. Let l be h(2). Let y be f(l). Factor -1/7*k**y + 1/7*k + 1/7*k**4 - 1/7*k**3 + 0. k*(k - 1)**2*(k + 1)/7 Suppose 42*m**3 + 882/19*m**2 - 82/19*m**4 + 2/19*m**5 + 0 + 0*m = 0. Calculate m. -1, 0, 21 Let m be ((-564)/63 - -9)/(2*1). Let u(n) be the third derivative of 1/24*n**6 + 0*n**3 + 0*n**5 + 0*n**4 + m*n**7 + 0*n + 0 + 4*n**2. Factor u(q). 5*q**3*(q + 1) Let p(u) be the third derivative of -u**7/504 - u**6/144 - 13*u**4/24 + 15*u**2. Let q(r) be the second derivative of p(r). Factor q(z). -5*z*(z + 1) Let i be (213/78 + -3)*-1. Let w(v) be the first derivative of -4 + i*v**4 + 0*v**2 - 2/13*v**3 - 4/65*v**5 + 0*v. Suppose w(l) = 0. What is l? 0, 1/2, 3 Let s be (6*3/27)/((-14)/(-6)). Suppose 355*b - 354*b - 2 = 0. Find m, given that s*m**3 - 2/7*m + 0*m**b - 1/7 + 1/7*m**4 = 0. -1, 1 Let b(c) be the third derivative of c**8/168 + c**7/35 - c**6/6 + c**5/15 + 3*c**4/4 - 5*c**3/3 + 8*c**2 - 1. Factor b(q). 2*(q - 1)**3*(q + 1)*(q + 5) Factor 28*r**2 - 64*r + 23 + 36 - 11 - 3*r**3 - r**3. -4*(r - 3)*(r - 2)**2 Suppose x - 2*s - 3*s = -16, 5*s - 10 = 0. Let y = -16/3 - x. Factor -8/3 - y*v**2 + 8/3*v. -2*(v - 2)**2/3 Let d(v) be the first derivative of -2*v**3/51 + 2*v**2/17 + 286*v/17 + 301. Solve d(t) = 0. -11, 13 Let v(g) be the third derivative of 1/3*g**4 + 0*g - 8/9*g**3 + 1/180*g**6 - 1/15*g**5 + 0 + 8*g**2. Factor v(f). 2*(f - 2)**3/3 Let j be (-490)/(-28)*16/21. Factor -j*f + 8/3 + 6*f**2. 2*(f - 2)*(9
{ "pile_set_name": "DM Mathematics" }
544, -y - a = 27 - 165. Suppose 0*c - 2*c - 2 = 0. Let i = y - c. What is the tens digit of i? 4 Let a(p) = 124*p**2 + p + 6. What is the tens digit of a(4)? 9 Let j = 70446 + -45137. What is the units digit of j? 9 Suppose 31485 = -29*o + 32*o + 4*f, -4*o + 2*f + 41936 = 0. What is the thousands digit of o? 0 Let s(y) = 10*y**2 - 4*y + 3. Let n be s(5). Suppose -3*h = -4*h - n. Let c = -127 - h. What is the hundreds digit of c? 1 Let u(m) be the third derivative of 10*m**2 - 17/6*m**4 + 0*m + 1/3*m**3 + 0. What is the units digit of u(-2)? 8 Let g be -4 - -13 - 6 - 0. Let w(r) = 148*r**2 + 5*r - 8. What is the units digit of w(g)? 9 Let y be (81/(-15) - -5)*-10. Suppose -y*i - 5*a - 29 + 552 = 0, -3*a = 4*i - 525. What is the units digit of i? 2 Let k be (-2 - 4/(-1)) + -142. What is the units digit of 14/((-4)/(-2))*(-9400)/k? 0 Let g(m) = 8*m**3 - 23*m**2 - 30*m + 42. Let q be g(8). Suppose -3*o + 605 = z, -3*z - o - 608 = -2439. Suppose -15*n - z = -q. What is the tens digit of n? 2 Let o be (2 - 24/8)/(1/(-2)). Suppose 5*w - o*f = 3*f + 1930, -f + 1948 = 5*w. What is the hundreds digit of w? 3 Let h be 2 - 5 - (-6 - 9). Suppose -h*s = -32*s + 5820. What is the tens digit of s? 9 Let w be 36/(-27)*3/(-2). Let x be w/(-4) + 243/6. Let p = -29 + x. What is the units digit of p? 1 Let z be -1342 + -5 - (0 + 7). Let t = 330 - z. What is the tens digit of t? 8 Suppose -19*l = -24*l + 150. Let a = -28 + l. Suppose -4*h = 0, -a*o + 3*o + h = 15. What is the tens digit of o? 1 Let c(v) = -v + 2. Let a be c(3). What is the tens digit of 7 + (a - 1) - -28? 3 Let y = 225007 - 149462. What is the ten thousands digit of y? 7 Suppose -3*z - 2*q + 6 = 0, -4*z + 8 = 6*q - 11*q. Let d be 168/z + 3 + 5. Let v = 114 - d. What is the units digit of v? 2 Suppose 1510834 + 1624766 = 234*s. What is the units digit of s? 0 Let w(n) = -n**3 - 7*n**2 - n + 8. Let h be w(-7). Let s = -141 - -139. What is the tens digit of s + h/3 - -82? 8 What is the hundreds digit of -4 + 205013/7 - (-1)/(-14)*-6? 2 Suppose -6*h = -12*h. Suppose h = 7*j - 6*j - 2. What is the tens digit of 76 + 5 - (3 - j - -2)? 7 Suppose -2*i + j + 1108 = 0, i - 692 = -5*j - 127. Suppose i = 3*l + 6. Suppose 49 = 4*g - l. What is the units digit of g? 8 Let q = 1357 + 543. What is the tens digit of q? 0 Let l = 46 - 18. Let c = l - 26. Suppose -3*h = -c*f + 128, 4*f - 364 = 3*h - 108. What is the units digit of f? 4 Let h(q) = 5*q**2 - 22*q + 819. What is the hundreds digit of h(36)? 5 Let y(n) = -n**2 + 5*n - 13. Let z be y(4). Let c be 110*(1 - z/(-15)). What is the units digit of (-21)/((16 + -17)/(c/6))? 4 Let q(d) = 2113*d - 1243. What is the hundreds digit of q(4)? 2 Let a = -5689 + 10522. What is the hundreds digit of a? 8 Suppose 86797 = 5*i - t, 29*t = -4*i + 26*t + 69430. What is the ten thousands digit of i? 1 Suppose 27*y - 336 = 15*y. Let o be 2 + 6 + 3 + -6. Suppose -o*l + y + 152 = 0. What is the tens digit of l? 3 Let j = 653 + -648. Suppose j*a = -3 - 12, 4*x + 5*a = 1725. What is the tens digit of x? 3 Let a(f) = -2*f**3 + 121*f**2 + 273*f + 37. What is the tens digit of a(62)? 3 Let z(q) = 28*q**2 + 2*q - 6. Suppose -7*g - 30 = 5*o - 5*g, 0 = -4*o + 4*g + 4. What is the hundreds digit of z(o)? 4 What is the units digit of (-5 + -2 - 1) + (2 - -6160)? 4 Let o(t) = -t**2 - 7*t - 7. Let p be o(-2). Let k(w) = -7*w + w**p - 1 - 10*w**2 - 10 + 0 - 14. What is the units digit of k(11)? 9 Suppose 2*h - x = 6341, h - x - 5073 = -1900. What is the tens digit of h? 6 Suppose -25 = -6*o - 1. Let l be (-3)/(-21) - 40/(-14). Suppose -5*w = -l*x - 60, -30 = -w - o*x + 5. What is the tens digit of w? 1 Let m(q) = -5*q**3 - 2*q**2 - q. Let v be m(-1). Suppose v*u = 11*u - 14. Suppose -u*k - 313 = -5*j + 303, -5*j = -3*k - 619. What is the units digit of j? 2 Let k be (-55)/(-10) + ((-28)/8 - -3). Suppose 0 = -k*u - 2*t + 1922, -2*t = -2*u + 1097 - 317. What is the tens digit of u? 8 Let f(r) = -r**3 + 6*r - 7. Let n be f(2). Let j(c) = -9*c - 37. Let s(b) = 18*b + 73. Let z(l) = n*s(l) - 7*j(l). What is the tens digit of z(12)? 4 Let d = 830 - 679. Let g = 504 + d. What is the units digit of g? 5 Suppose -30*n + 227141 = -111619. What is the thousands digit of n? 1 Let f(j) = -j**3 - 11*j**2 + 5. Let g be f(-11). Suppose -g*n + 176 = -n. Suppose -5*l + n = -3*l. What is the units digit of l? 2 Suppose 2*p + 3*f - 3344 = 0, 2*f + 8360 = 48*p - 43*p. Let o = -1100 + p. What is the units digit of o? 2 Suppose -3*i + 586 + 299 = 0. Suppose 4*c + i = 6*c + 5*u, -140 = -c + 5*u. What is the tens digit of c? 4 Let t be (5 - 9 - -266)/2. Suppose -6*l = -t - 1753. Let f = -121 + l. What is the units digit of f? 3 Let h(y) = -310*y + 5878. What is the thousands digit of h(-14)? 0 Let c(r) be the first derivative of r**2 - 59*r + 18. Let s(w) = -6*w + 176. Let a(b) = 17*c(b) + 6*s(b). What is the units digit of a(10)? 3 Suppose 0*l + 4*s = -4*l + 8, s - 2 = -4*l. Suppose l*w = 2*w + 96. Let c = 60 + w. What is the units digit of c? 2 Let u(t) be the second derivative of 1/6*t**4 + 1/2*t**3 + 0 - 2*t - t**2. What is the units digit of u(6)? 8 Suppose -4*k = -5*k + 5*q + 75, 5*k - 3*q - 331 = 0. Suppose k - 311 = 2*x - l, 5*x + 593 = -3*l. Let g = 175 + x. What is the tens digit of g? 5 Let d be (-78)/(-24) + 1/(-4) + -2. Let o be 60 + -3 + (-1)/d. Suppose 4*j + 16 - o = 0. What is the tens digit of j? 1 Suppose -9*s + 30 = s. Suppose 0*z = s*z - 354. Suppose 278 = 6*h - z. What is the tens digit of h? 6 Let o be 0*2/(-4) + 6 + -4. Let r(d) = 1 - 15*d + o*d**2 + d - 3*d**2 + 2. What is the tens digit of r(-12)? 2 What is the tens digit of (2/14)/((-17)/51) + 61519/7? 8 Let s be ((-313)/4)/((-88)/(-3168)). Let x = -1412 - s. What is the thousands digit of x? 1 Let o = -19 + 17. Let d(k) = 305*k**3 - 3*k**2 + 5*k + 3. Let q(w) = -153*w**3 + w**2 - 2*w - 1. Let z(n) = o*d(n) - 5*q(n). What is the hundreds digit of z(1)? 1 Let j(u) = -u**3 - 13*u**2 + u - 2. Let y be j(-13). Let n be ((-5)/y - 33/(-9)) + -4. Suppose o - 41 - 20 = n. What is the tens digit of o? 6 Suppose 5*n + 5124 = 2*v, -5120 = -15*v + 13*v + 3*n. Suppose -6931 = -18*l - v. What is the hundreds digit of l? 2 Let d be -4*(-21)/6*36/63. Suppose -565 = -d*j + 475. What is the hundreds digit of j? 1 Let k = 9 + 11. Let m be k/15 + -1 + (-50)/6. Let l = 43 + m. What is the tens digit of l? 3 Let j(n) = -324*n - 1285. What is the units digit of j(-25)? 5 Suppose 5*d - 3*o = 1477, -12*o - 291 = -d - 7*o. Suppose s - 3*h = d, -4*h = -2*h + 10. What is the hundreds digit of s? 2 Let n(o) = 61*o**2 + 9*o + 2. Let b(u) = 121*u**2 + 18*u + 6. Let f(l) = -6*b(l) + 13*n(l). What is the units digit of f(3)? 0 Let q = -71 + 85. Suppose 18*o - 20 = q*o. Suppose o*s - w - 636 = -2*w, 3*s = 3*w + 396. What is the units digit of s? 8 Let b = 32292 + -22707. What is the thousands digit of b? 9 Let r = -4858 + 18381. What is the ten thousands digit of r? 1 Let h(r) = 46*r + 7. Let i(p) = p**3 + 4*p**2 + 2*p + 12. Let g be i(-4). Let m be h(g). Let f = m - -61. What is the units digit of f? 2 Suppose -474*o + 2515050 = 12*o. What is the tens digit of o? 7 Let o be 3356 - 8 - (-30)/(-5). Let m = o + -2289. What is the tens digit of m? 5 Let m be (-280)/(-12)*(5 + (-215)/10). Let u = -133 - m. What is the hundreds digit of u? 2 Suppose -209*k - 69372 = -378065. What is the tens digit of k? 7 What is the hundreds digit of (174/9)/(17744/(-4440) - 8/(-2))? 3 Suppose 849*n - 1689*n + 848*n - 100000 = 0. What is the hundreds digit of n? 5 Let s(g) = g**3 - 80*g**2 - 73*g - 684. What is the thousands digit of s(87)? 5 Let r = 18327 - 9882. What is the hundreds digit of r? 4 Let b(n) = 37*n + 37. Suppose 9 = 4*r - 2*z - 15, r - 9 = -z. What is the hundreds digit of b(r)? 2 Let b = 214 + -153. Let m = -36 + 29. Let g = b + m. What is the units digit of g? 4 Suppose 36*o - 449940 = -24*o. What is the hundreds digit of o? 4 What is the tens digit of -5 + 241595/45 - (-10)/45? 6 Let w(g) = 18*g**2 + g + 13. Let r be w(-6). Let l be r - 2/(-3*(-4)/6). Let z = l - 412. What is the units digit of z? 2 What is the hundreds digit of 6/8 + 3993134/632? 3 Suppose 0 = -4*u - 5*o + 7116, 5*o = 3*u + 6*o - 5326. What is the hundreds digit of 40/(-100) + u/10? 1 Let t be ((-12)/1 -
{ "pile_set_name": "DM Mathematics" }
k? 65/408 What is prob of picking 1 c, 2 w, and 1 x when four letters picked without replacement from {m: 5, w: 3, c: 2, x: 3}? 18/715 Three letters picked without replacement from dtttzrzzttrrizttzi. Give prob of picking 1 i, 1 t, and 1 z. 35/408 Three letters picked without replacement from {g: 9, r: 3, x: 7}. What is prob of picking 2 g and 1 x? 84/323 Calculate prob of picking 3 u and 1 n when four letters picked without replacement from {u: 6, w: 1, b: 2, n: 4}. 16/143 Three letters picked without replacement from {m: 7, h: 1, f: 5}. What is prob of picking 2 f and 1 h? 5/143 Calculate prob of picking 3 z and 1 f when four letters picked without replacement from {z: 2, l: 1, a: 5, q: 6, f: 2}. 0 What is prob of picking 1 w and 1 d when two letters picked without replacement from {n: 3, d: 2, e: 4, l: 1, v: 2, w: 3}? 2/35 What is prob of picking 1 q and 1 t when two letters picked without replacement from {q: 7, t: 3}? 7/15 What is prob of picking 2 t, 1 s, and 1 r when four letters picked without replacement from {s: 2, t: 1, r: 1}? 0 Two letters picked without replacement from {l: 1, c: 1, r: 5, m: 5}. What is prob of picking 2 r? 5/33 Two letters picked without replacement from soimoooloomloolmimm. Give prob of picking 1 o and 1 i. 16/171 Two letters picked without replacement from ccyccccccccc. Give prob of picking 2 c. 5/6 What is prob of picking 3 g when three letters picked without replacement from iiiwgiggi? 1/84 Calculate prob of picking 4 a when four letters picked without replacement from eeaaeeeeaa. 1/210 Two letters picked without replacement from exexeceexx. Give prob of picking 1 c and 1 x. 4/45 Calculate prob of picking 1 f and 1 x when two letters picked without replacement from {s: 2, f: 2, x: 6, p: 3}. 2/13 Four letters picked without replacement from bfbfbbbfbfbbbbffbfb. What is prob of picking 4 b? 165/1292 Three letters picked without replacement from {d: 1, x: 2, j: 4, h: 3, g: 2, r: 3}. Give prob of picking 2 g and 1 j. 4/455 Four letters picked without replacement from kjkktjtkvtklktkk. Give prob of picking 1 t, 1 l, 1 v, and 1 j. 2/455 Two letters picked without replacement from wrrrwinfirfdfn. What is prob of picking 2 w? 1/91 Two letters picked without replacement from hhfh. What is prob of picking 2 h? 1/2 Two letters picked without replacement from {j: 9, f: 1, g: 6, k: 2}. Give prob of picking 2 f. 0 What is prob of picking 4 w when four letters picked without replacement from {m: 1, w: 4, d: 2}? 1/35 Two letters picked without replacement from zzyzyzxzyzzyxyzyooo. Give prob of picking 2 y. 5/57 Four letters picked without replacement from mmwlmwalmmfmmam. What is prob of picking 1 m, 1 f, and 2 w? 8/1365 Calculate prob of picking 4 b when four letters picked without replacement from {b: 5}. 1 Two letters picked without replacement from guuuuuuuuugu. What is prob of picking 1 g and 1 u? 10/33 Calculate prob of picking 1 l and 1 w when two letters picked without replacement from {n: 1, l: 2, c: 1, f: 1, q: 1, w: 1}. 2/21 What is prob of picking 3 v when three letters picked without replacement from vvvvvvvvzvvvvvv? 4/5 Calculate prob of picking 1 s and 2 b when three letters picked without replacement from {h: 6, q: 1, s: 2, b: 2}. 2/165 Two letters picked without replacement from {o: 1, s: 2, m: 1, l: 1, a: 1, g: 1}. Give prob of picking 1 m and 1 s. 2/21 What is prob of picking 1 l and 2 j when three letters picked without replacement from {z: 1, o: 2, j: 4, l: 1}? 3/28 Two letters picked without replacement from ifelffjjjylfji. What is prob of picking 2 l? 1/91 What is prob of picking 1 u and 1 x when two letters picked without replacement from {l: 2, y: 1, u: 6, x: 3, q: 3}? 6/35 Calculate prob of picking 1 j, 1 z, and 1 k when three letters picked without replacement from znbnbnnbnnjknbk. 2/455 Four letters picked without replacement from {l: 9, f: 11}. What is prob of picking 1 l and 3 f? 99/323 Calculate prob of picking 2 c and 1 p when three letters picked without replacement from {p: 15, c: 4}. 30/323 Four letters picked without replacement from nxnwcznhchczcn. Give prob of picking 2 n and 2 z. 6/1001 Calculate prob of picking 4 w when four letters picked without replacement from pppwwppppppppppppww. 1/3876 Four letters picked without replacement from {i: 1, m: 1, u: 1, n: 1, h: 2, o: 2}. Give prob of picking 2 o, 1 n, and 1 m. 1/70 What is prob of picking 1 g, 1 r, and 1 t when three letters picked without replacement from {g: 1, l: 5, o: 3, h: 2, r: 1, t: 1}? 1/286 Two letters picked without replacement from {a: 9, p: 1, g: 2, v: 7}. Give prob of picking 2 g. 1/171 Calculate prob of picking 1 e and 2 v when three letters picked without replacement from kvkvkkkvvevkvkvvvv. 15/272 Three letters picked without replacement from zelzefzhfftflll. What is prob of picking 1 t and 2 z? 3/455 What is prob of picking 1 v and 1 j when two letters picked without replacement from levji? 1/10 What is prob of picking 3 k when three letters picked without replacement from kkuizzzdkzid? 1/220 Calculate prob of picking 1 x and 1 v when two letters picked without replacement from xtxttvtr. 1/14 Calculate prob of picking 2 c when two letters picked without replacement from xxcxccxxecexexxx. 1/20 Two letters picked without replacement from yzlldyylyllyzyzyyz. What is prob of picking 1 z and 1 y? 32/153 What is prob of picking 2 y when two letters picked without replacement from fyyyfy? 2/5 Two letters picked without replacement from {k: 3, t: 2, b: 5, u: 7, r: 1}. What is prob of picking 2 t? 1/153 Two letters picked without replacement from {m: 2, a: 2, p: 4, c: 1, y: 7, z: 1}. What is prob of picking 1 m and 1 y? 7/68 Calculate prob of picking 3 u when three letters picked without replacement from {h: 2, g: 5, u: 3, r: 5, l: 4}. 1/969 Two letters picked without replacement from nnmvmir. Give prob of picking 1 i and 1 m. 2/21 Calculate prob of picking 2 b when two letters picked without replacement from lbbbsrlrrbrbbblbbb. 5/17 What is prob of picking 4 s when four letters picked without replacement from {s: 4}? 1 Four letters picked without replacement from {t: 2, g: 1, l: 4, q: 2, p: 1, r: 2}. Give prob of picking 1 t, 2 p, and 1 r. 0 What is prob of picking 1 d and 1 e when two letters picked without replacement from dessesssssssss? 2/91 Two letters picked without replacement from {a: 6, r: 7, b: 1}. What is prob of picking 1 a and 1 b? 6/91 Calculate prob of picking 2 l when two letters picked without replacement from {x: 4, w: 3, l: 13}. 39/95 What is prob of picking 2 z when two letters picked without replacement from {i: 5, t: 1, o: 6, z: 2, h: 3}? 1/136 Calculate prob of picking 1 p and 1 l when two letters picked without replacement from {v: 2, k: 5, l: 4, p: 1, e: 2}. 4/91 What is prob of picking 1 f and 2 e when three letters picked without replacement from eeefeeeeeeee? 1/4 Calculate prob of picking 3 y when three letters picked without replacement from uuuuuyyuyutuuuyyu. 1/68 What is prob of picking 3 r and 1 x when four letters picked without replacement from xxrxxrrrxxxrxrxxxx? 4/51 Three letters picked without replacement from gccggg. Give prob of picking 1 g and 2 c. 1/5 What is prob of picking 2 z when two letters picked without replacement from {p: 1, j: 1, b: 2, z: 2}? 1/15 Three letters picked without replacement from {x: 5}. Give prob of picking 3 x. 1 Four letters picked without replacement from yyyyyyyjyjyyjgy. What is prob of picking 1 j and 3 y? 33/91 Two letters picked without replacement from {s: 11, b: 2, p: 7}. What is prob of picking 2 p? 21/190 Two letters picked without replacement from bbbbbpbpbb. Give prob of picking 2 b. 28/45 What is prob of picking 1 v and 2 y when three letters picked without replacement from {y: 4, v: 2}? 3/5 Calculate prob of picking 1 e and 3 b when four letters picked without replacement from {n: 2, a: 4, e: 1, b: 3}. 1/210 Two letters picked without replacement from {u: 3, d: 1, a: 2, x: 1}. Give prob of picking 1 x and 1 u. 1/7 Calculate prob of picking 1 a, 1 v, and 1 d when three letters picked without replacement from {a: 1, c: 5, t: 1, x: 1, d: 2, v: 5}. 2/91 What is prob of picking 1 k and 3 z when four letters picked without replacement from zkkppz
{ "pile_set_name": "DM Mathematics" }
Let i be ((-1)/2)/(-1 + 23/24). Calculate the highest common divisor of i and 8. 4 Suppose -10*d + 196 = -6*d. Suppose 0 = -3*y - 12, -2*g + 5 - 1 = -y. Suppose -4*b + 2*b + 14 = g. Calculate the highest common factor of b and d. 7 Suppose 3*v - 43 = -k, -3*k + 4*v = -k - 106. What is the greatest common factor of k and 14? 7 Let k = -267 + 311. What is the greatest common factor of k and 121? 11 Let f be (25 + -21)/(((-4)/(-2))/70). Suppose -4*d = 4*k - 48, -5*d - 10 + 58 = -k. Calculate the highest common divisor of d and f. 10 Let d be (-2)/(0 + (-1)/(-1)). Let c = -304 + 524. Let l be c/8 - (-3)/d. Calculate the highest common divisor of 65 and l. 13 Let q(g) = g**3 - 14*g**2 - 17*g + 20. Let l(y) = y + 6. Let h be l(9). Let z be q(h). Let s = z + 12. What is the highest common factor of 10 and s? 2 Let r(i) = -i**3 + 13*i**2 - 14*i + 43. Let a be r(12). Suppose -5*m + 2*u = 3*u - 660, -5*m - 2*u = -655. What is the highest common divisor of a and m? 19 Let n(y) = 7*y**2 - 90*y - 4. Let z be n(13). What is the greatest common divisor of z and 297? 9 Let d = -9 + 331. What is the greatest common divisor of d and 14? 14 Let a = -8 + 5. Let n be 8 + a + -2 + -4. Let x be (5 + 11)*(-1)/n. Calculate the highest common divisor of 80 and x. 16 Let c = 333 - 303. Calculate the greatest common factor of c and 185. 5 Let g = 718 - 412. What is the greatest common divisor of 9 and g? 9 Let j be 4 + (-3)/6*2. Suppose 4*g - 88 = 2*p + p, j*p = 2*g - 44. Let t = -129 + 184. Calculate the greatest common divisor of t and g. 11 Let t = -1 - -2. Suppose -v = -17 - t. What is the greatest common factor of 2 and v? 2 Let o(n) = n**2 + 8*n + 12. Let q be o(-10). Suppose -7*a = a - q. Suppose -a*p - 11 + 47 = 0. Calculate the greatest common divisor of p and 90. 9 Suppose 158 = d - 5*n, 3*d - 30 = 5*n + 494. Calculate the highest common factor of d and 427. 61 Let h = -84 - -85. Let y be 76*(1 - h/4). Calculate the greatest common factor of y and 228. 57 Suppose 0 = b + g - 150, -2*b - 11*g + 8*g + 296 = 0. What is the highest common divisor of 42 and b? 14 Suppose -168 = -11*s + 107. What is the greatest common factor of 40 and s? 5 Let b(g) = -g**3 - 2*g**2 + 22*g + 7. Let z = -88 + 81. Let t be b(z). Let d be (-1*14)/(-3 - -2). What is the greatest common divisor of d and t? 14 Let d(q) = q**2 + 6*q + 17. Let t = -44 + 35. Let u be d(t). Calculate the greatest common divisor of 55 and u. 11 Suppose -d - 5*d = -3*d. Suppose -2*k + 2 = -3*a, -5*k = -10*k - 4*a - 18. Let f be 13 + k + (d - -4). What is the greatest common factor of 10 and f? 5 Let k = 744 + -640. Calculate the highest common factor of 16 and k. 8 Suppose -8*k = -36492 + 36444. Let u = 0 + 4. What is the greatest common factor of u and k? 2 Suppose 9*s + 105 = 3750. What is the highest common factor of 30 and s? 15 Suppose 396 = 2*w + 2*w. Let q be -8*2/((-24)/45). Let f = -21 + q. Calculate the highest common divisor of w and f. 9 Let m be 5/((-15)/(-9)) - 1. Suppose 4*h + m*v = 80, h - 4*v = -h + 30. Calculate the greatest common divisor of 171 and h. 19 Let k = 0 + 3. Let c(t) = 4*t**2 + 1546*t + 1544*t - 3092*t - 4. Let z be c(k). Calculate the highest common factor of z and 26. 26 Let n(a) = -a**3 + 14*a**2 + 14*a + 18. Let j be n(15). Suppose -3*h = -3*f + h + 32, -4*f + j*h = -52. What is the greatest common divisor of 64 and f? 16 Let g(i) = i + 19. Suppose -2*m - 3*q = -2, -5*m - 4*q + 17 + 2 = 0. Let l be g(m). What is the greatest common factor of l and 26? 26 Suppose 95 - 93 = b. Suppose b*k - 34 = -2*x + 4*k, k = 5*x - 105. Calculate the highest common factor of 22 and x. 22 Suppose 0 = -2*j - 5*l + 23, 3*j + 9*l = 4*l + 37. Calculate the greatest common divisor of 16 and j. 2 Suppose 31*j = 8*j + 1495. Calculate the highest common factor of 13 and j. 13 Suppose -d - 18603 = -4*q, q - 134*d - 4653 = -133*d. What is the greatest common factor of q and 50? 50 Let i(r) = 8 - 3 - 2 - r + 2*r**2. Let w be i(3). Suppose k = -7, 7*k + 16 = -g + 3*k. Calculate the greatest common divisor of w and g. 6 Let n be (-1)/(2/2) - -2. Let z be 11 - (0 + -1 + n). Suppose 41*h = 55*h - 1386. What is the highest common divisor of h and z? 11 Suppose 5*c + 1105 = b, -2*c = -2*b - 294 + 2504. What is the greatest common divisor of b and 85? 85 Let l = 104 - 74. Let a be (l/(-4))/((-10)/20). Calculate the greatest common divisor of 5 and a. 5 Let m(j) = -j**3 - 2*j**2 - j + 3. Let k be m(0). Let q(a) = a**3 - 2*a**2. Let b be q(k). Calculate the greatest common factor of 99 and b. 9 Let l(y) = -y**3 - 14*y**2 + y + 18. Let q be l(-14). Suppose r = -4*z + 17, 0 = q*r + 4*z - z - 68. Calculate the highest common factor of 17 and r. 17 Suppose 4*z = 2*a - 314, 4*a - z - z = 652. Suppose -15*t - a = -20*t. What is the highest common divisor of 363 and t? 33 Let g be -1 - -3 - 6*5/15. Suppose 10*u - 4*u - 168 = g. What is the greatest common factor of u and 14? 14 Let p = 983 + -962. What is the greatest common divisor of 476 and p? 7 Suppose j + 404 = 5*j. Let i(m) = 6*m + 7. Let h be i(-7). Let y = h + j. Calculate the greatest common factor of 6 and y. 6 Let x = 20 + -20. Let m = 6 + x. What is the greatest common factor of 2 and m? 2 Suppose -3*d - 4*l + 1745 = 0, -d + 5*l - 2*l = -560. Suppose 0 = 4*v + v - d. Suppose 0*w + w = v. What is the greatest common factor of 46 and w? 23 Let i = -6 + 2. Let n = i + 6. Suppose 3*s - 51 = -f, -5*s + 5*f - n + 107 = 0. Calculate the greatest common divisor of s and 54. 18 Let j = -97 + 90. Let z be (58/6)/(j/(-63)) - -4. Calculate the highest common factor of z and 7. 7 Suppose u + 2*t - 58 = 0, -2*u + 123 + 18 = -t. Let c = 2 + u. Let y = c + 128. Calculate the greatest common divisor of y and 22. 22 Let s = 61 + -48. Suppose 3*p + d - s - 9 = 0, 3*p - 3*d - 42 = 0. What is the greatest common divisor of p and 81? 9 Let p be -4 + 6/9 + 7714/21. Calculate the highest common divisor of p and 208. 52 Suppose 128*u + 162 = 134*u. What is the highest common factor of 15 and u? 3 Let s be (-4347)/(-72) - 6 - 3/8 - 4. Let x be (-996)/(-10) - 4/(-10). Calculate the highest common divisor of x and s. 50 Let b = -429 + 705. Suppose 0 = -18*q + 12*q + b. What is the greatest common divisor of 69 and q? 23 Suppose -4*l - 341 = -5*m, 21*l = -3*m + 22*l + 199. Suppose -41 = -4*i + i + 2*r, i = 5*r + 18. Calculate the highest common factor of m and i. 13 Let h be (49 + -13 + -12)*3/4. Calculate the highest common factor of h and 18. 18 Let i(j) be the first derivative of -j**2/2 - 2*j - 6. Let w be i(-6). Suppose -w*o + 7 = -1. What is the highest common factor of o and 14? 2 Let r be (-555)/(-6) - 160/64. What is the highest common factor of 405 and r? 45 Let x(y) = -1 - 8 + 5 - 25*y + 5*y. Let p be x(-3). Suppose -3*w = -p - 10. What is the greatest common factor of 2 and w? 2 Let l = 3 + -3. Suppose -2*w + 4 = u, l = -w + 5*w + u - 12. Let i be 33/6 - (-6)/w. What is the greatest common factor of 7 and i? 7 Let d(a) = a**2 + 4*a + 4. Let b be d(-4). Suppose 4*u + 37 + 25 = o, o + 5*u = 53. Let z = o - 54. What is the greatest common divisor of b and z? 4 Let g(j) = 5*j**2 + 8*j + 40. Let s be g(-3). What is the highest common divisor of s and 183? 61 Suppose 5*i - 1433 = -4*w, -107*i + 108*i = -2*w + 289. Calculate the highest common divisor of 45 and i. 15 Let x = 44 - 26. Suppose 0 = -2*s + 71 - 19. Suppose 19 = v - s. What is the highest common factor of x and v? 9 Suppose 8*v - 2450 - 2886 = 0. What is the greatest common factor of v and 23? 23 Let b(u) = -2*u**2 - 15 - 4*u**2 - 20*u + 5*u**2. Let h be (1*(-170)/(-40))/((-1)/4). Let l be b(h). Calculate the highest common factor of l and 12. 12 Let s = 25 + -15. Let f = -22 - -58. Let x = f + -21. What is the greatest common factor of s and x? 5 Let d(t) = -2*t**3 - 3*t**2 + 3*t - 5. Let v be (-4 + -1 + 1)*(5 + -4). Let w be d(v). Calculate the highest common factor of w and 9. 9 Suppose -8*p + 19*p = 286. Calculate the greatest common divisor of 52 and p. 26 Let p(s) = -6*s + 324. Let q be p(44). What is the greatest common divisor of 420 and q? 60 Suppose -2*d + 5*d + 57 = 0. Let m = d + 25. What is the highest common factor of m and 9? 3 Suppose 0 = 4*r + r + 2*r. Suppose o + 3*o + 115 = 5*k, k - 2*o - 17 = r.
{ "pile_set_name": "DM Mathematics" }
f + 938960. -(f - 194)*(f + 4840) Find j, given that 78*j**5 + 4130*j**4 + 26854*j**3 - 592394*j**2 + 590036*j - 28704 = 0. -39, -23, 2/39, 1, 8 Suppose 3*k**4 - 33984*k**3 + 1286943*k**2 + 1320930*k = 0. What is k? -1, 0, 39, 11290 Determine s, given that 4*s**4/3 + 488*s**3/3 + 3500*s**2 - 191264*s/3 - 2514640/3 = 0. -86, -43, -10, 17 Solve -2*t**4/7 - 6730*t**3/7 + 10286484*t**2/7 - 474664616*t + 473196080 = 0 for t. -4570, 1, 602 Determine v, given that v**3/4 + 587*v**2/2 + 338349*v/4 + 84294 = 0. -669, -504, -1 Find y, given that -4*y**5/3 + 5583*y**4 - 3689315*y**3/3 + 307094*y**2 = 0. 0, 1/4, 233, 3954 Determine r, given that 27014*r**2/3 + 161986*r/3 - 196 = 0. -6, 49/13507 Let -7*g**5/8 + 22886967*g**4/8 + 75200083*g**3/8 + 88278377*g**2/8 + 5313051*g + 1634785/2 = 0. Calculate g. -1, -2/7, 3269570 Find p such that -3451311*p**3 - 25059381*p**2 - 6301392*p + 252 = 0. -7, -6/23, 2/50019 Factor 3*q**3 + 6357*q**2 - 258648*q + 932688. 3*(q - 36)*(q - 4)*(q + 2159) Solve 2*z**4 + 153516*z**3 + 11505024*z**2 + 197372916*z - 699809058 = 0. -76683, -39, 3 What is y in 2*y**3/13 + 4194760*y**2/13 + 16779016*y/13 + 16779008/13 = 0? -2097376, -2 Determine m so that -2*m**4/13 + 65410*m**3/13 - 534317688*m**2/13 - 8026608640*m/13 - 23553164800/13 = 0. -11, -4, 16360 Factor 2*j**2 + 486556*j + 973104. 2*(j + 2)*(j + 243276) Determine l so that 49*l**3/6 - 1343132*l**2/3 + 22242478*l - 276379512 = 0. 174/7, 54772 Find f, given that -3*f**3 + 24201*f**2 - 53523288*f + 18537150996 = 0. 423, 3822 Let c**3/4 - 8541*c**2/2 - 17083*c/4 = 0. Calculate c. -1, 0, 17083 Suppose -2*b**2/5 - 3059526*b/5 - 6119044/5 = 0. What is b? -1529761, -2 Determine x so that -4*x**2 + 1171328*x + 14056512 = 0. -12, 292844 Determine u so that 2*u**2 - 3692*u - 292144 = 0. -76, 1922 Factor -w**3 + 212*w**2 - 10947*w. -w*(w - 123)*(w - 89) Let z**4/4 - 47*z**3/4 - 599*z**2/2 + 1760*z = 0. What is z? -22, 0, 5, 64 Factor 2*p**2 - 1440872*p - 2881752. 2*(p - 720438)*(p + 2) Let -2*q**3/13 - 10472*q**2/13 - 385370*q/13 - 3348156/13 = 0. Calculate q. -5199, -23, -14 Determine q so that q**4/8 - 227*q**3/8 + 7917*q**2/8 - 27005*q/8 - 17575/4 = 0. -1, 5, 38, 185 Solve 4*i**4/3 + 204620*i**3/3 + 5317412*i**2/3 - 204620*i/3 - 1772472 = 0 for i. -51129, -26, -1, 1 Find n such that -93*n**5/4 - 4629*n**4/4 - 41043*n**3/2 - 147066*n**2 - 287424*n + 456192 = 0. -16, -396/31, -6, 1 Let -j**4/3 + 232*j**3/3 - 4063*j**2/3 + 1124*j + 2556 = 0. What is j? -1, 2, 18, 213 Factor -2*x**3 + 3841572*x**2. -2*x**2*(x - 1920786) Solve -5*u**4 + 9915*u**3 + 9084255*u**2 + 9054485*u - 18148650 = 0 for u. -681, -2, 1, 2665 Factor -y**3 + 2105303*y**2 - 1108072022491*y - 3324235015227. -(y - 1052653)**2*(y + 3) Find a such that 3*a**2 - 184132668*a + 2825403285399852 = 0. 30688778 Factor 2*k**2 + 20582094*k - 41164196. 2*(k - 2)*(k + 10291049) Find s, given that -2632*s**4 - 2794*s**3 + 24966*s**2 - 23012*s + 3472 = 0. -4, 62/329, 1, 7/4 Find v, given that -v**2/12 + 102256459*v/6 - 10456383407218681/12 = 0. 102256459 Factor -2*q**3/5 + 4483982*q**2/5 - 896796*q. -2*q*(q - 2241990)*(q - 1)/5 Factor -t**3/4 + 2305913*t**2/4 - 1329298314223*t/4 - 11963871607689/4. -(t - 1152961)**2*(t + 9)/4 Factor -2*x**2/13 + 23272*x/13 + 58420714/13. -2*(x - 13759)*(x + 2123)/13 What is l in 4*l**5 - 121564*l**4 + 921726652*l**3 + 28663181468*l**2 + 207342722944*l - 236927509504 = 0? -16, 1, 15211 Factor -2*t**2 - 365672316*t - 16714530336100482. -2*(t + 91418079)**2 What is i in i**2 + 1910302*i - 5730915 = 0? -1910305, 3 Determine j, given that 1507072*j**5/5 + 2764792256*j**4/5 - 1256708484*j**3/5 + 31114152*j**2/5 - 39636*j = 0. -1835, 0, 3/232, 3/7 Determine u so that -5*u**4 + 520*u**3 - 1865*u**2 - 279810*u - 2086920 = 0. -12, -11, 34, 93 Factor -2*u**2 - 13429592*u + 13429594. -2*(u - 1)*(u + 6714797) Determine s, given that -3*s**4 - 55086*s**3 + 882144*s**2 = 0. -18378, 0, 16 Suppose -4*r**3 + 141280*r**2 - 181262400*r + 59241600000 = 0. What is r? 660, 34000 Suppose -978043920*j**4 - 848187424*j**3 + 909507668*j**2/7 + 512268*j/7 + 72/7 = 0. Calculate j. -1, -3/10682, 2/15 What is i in 58*i**2/7 - 6604*i/7 + 19920 = 0? 28, 2490/29 Suppose 24*s**3 + 344284*s**2 - 3387780*s = 0. What is s? -14355, 0, 59/6 Let 4*q**2 + 709400*q + 215994900 = 0. Calculate q. -177045, -305 Solve 4*j**4 - 295263756*j**3 = 0 for j. 0, 73815939 Suppose -2*d**3/9 - 4096*d**2/9 - 48928*d/9 - 130304/9 = 0. What is d? -2036, -8, -4 Find s such that -4*s**3 - 70500*s**2 - 1549352*s - 5069664 = 0. -17603, -18, -4 Suppose -2*d**3 - 96689770*d**2 - 1168614001176496*d - 1168613904486728 = 0. What is d? -24172442, -1 Solve -4*r**2 + 2152968*r + 6458940 = 0 for r. -3, 538245 Factor i**2 - 1721*i - 1323072. (i - 2297)*(i + 576) Factor -2*j**2/15 + 3562*j/15 - 229676/15. -2*(j - 1714)*(j - 67)/15 Factor 4*q**4 + 1458920*q**3 + 133026513972*q**2 - 266057404720*q + 133029431824. 4*(q - 1)**2*(q + 182366)**2 Factor -2*t**4 - 19040*t**3 - 50215004*t**2 - 23323067040*t - 3001009904802. -2*(t + 273)**2*(t + 4487)**2 Determine u so that 632*u**2 + 1118620*u + 1082628 = 0. -1769, -153/158 Factor -c**4/7 + 1466*c**3/7 - 568573*c**2/7 + 22931172*c/7 - 244672164/7. -(c - 711)**2*(c - 22)**2/7 Factor -3*y**2 + 3724551*y - 63316500. -3*(y - 1241500)*(y - 17) Suppose 3364*k**4/5 + 5140772*k**3 + 3924462832*k**2/5 - 541671984*k/5 + 3736512 = 0. Calculate k. -7485, -156, 2/29 Let -5*r**4 - 37135*r**3 + 19696130*r**2 + 39540760*r = 0. Calculate r. -7924, -2, 0, 499 Suppose -50*y**5 + 87490*y**4 - 8561458*y**3 + 30781718*y**2 + 46260060*y + 14814000 = 0. Calculate y. -3/5, 5, 100, 1646 Suppose 4*o**5 - 3980*o**4 + 3900*o**3 + 75740*o**2 - 194944*o + 119280 = 0. What is o? -5, 1, 2, 3, 994 Determine v, given that v**5/2 - 2988*v**4 + 2783616*v**3 - 936218624*v**2 + 107290951680*v = 0. 0, 352, 4920 Factor -5*j**3 + 1056185*j**2 - 24289610*j. -5*j*(j - 211214)*(j - 23) Factor -4*d**3 + 8528516*d**2 - 4545944222688*d - 31822027457472. -4*(d - 1066068)**2*(d + 7) Factor t**4 - 1472*t**3 + 30591*t**2 - 174220*t + 145100. (t - 1451)*(t - 10)**2*(t - 1) What is p in -p**5/4 - 1079*p**4/4 + 4337*p**3/4 + 5415*p**2/4 = 0? -1083, -1, 0, 5 Find c, given that 4*c**2 + 77984*c - 2812608 = 0. -19532, 36 Determine w so that 3*w**4 - 124728*w**3 - 10980297*w**2/4 - 65515527*w/4 - 27517077/2 = 0. -21/2, -1, 41598 Solve -4*c**5/3 + 2722*c**4/9 - 98078*c**3/9 + 320866*c**2/3 + 18130*c = 0 for c. -1/6, 0, 21, 185 Factor 5*s**3 + 5421730*s**2 - 65061480*s. 5*s*(s - 12)*(s + 1084358) Find h, given that 2*h**5 + 7227*h**4 + 310713*h**3 + 438982*h**2 - 457044*h - 299880 = 0. -3570, -42, -2, -1/2, 1 What is v in 3*v**2/2 + 53029122*v + 106058238 = 0? -35352746, -2 Determine w, given that -w**5 + 206*w**4 + 7960*w**3 - 17342*w**2 - 25095*w = 0. -35, -1, 0, 3, 239 Find z such that 4*z**5 + 3774900*z**4 + 890599888392*z**3 - 8015648140792*z**2 + 13359481516788*z - 6234437039292 = 0. -471867, 1, 7 Factor -3*x**2/2 + 8481*x/2 + 9744492. -3*(x - 4328)*(x + 1501)/2 Let q**5 - 159*q**4 + 4920*q**3 + 42896*q**2 - 489216*q = 0. Calculate q. -12, 0, 7, 52, 112 Find r such that -2*r**2/15 - 173944*r/15 = 0. -86972, 0 Solve 5*l**2/2 - 10963420*l + 12019657809640 = 0. 2192684 Factor -2*q**3 + 2516*q**2 - 674518*q - 1359116. -2*(q - 869)*(q - 391)*(q + 2) What is o in 4*o**3 + 70096*o**2 + 307020468*o - 614321352 = 0? -8763, 2 Factor -4*j**2 + 17592*j - 5008608. -4*(j - 4092)*(j - 306) Determine o so that -2*o**5 - 298*o**4 - 1684*o**3 + 4576*o**2 = 0. -143, -8, 0, 2 Determine j so that -j**2 + 17744*j - 8001103 = 0. 463, 17281 Determine n so that -27*n**3/5 - 172821*n**2/5 - 15800982*n/5 + 3519864/5 = 0. -6308, -93, 2/9 Factor -n**2/3 - 79562*n/3 - 53040. -(n + 2)*(n + 79560)/3 Determine p so that 2*p**3/7 + 54904*p**2/7 + 358269792*p/7 - 257486150016/7 = 0. -14052, 652 Solve -2*z**5/9 + 767422*z**4/9 - 73621286350*z**3/9 + 809722110026*z**2/9 + 613437049600*z/3 + 106329665000 = 0. -1, 13, 191850 Solve 4*s**5 + 1980*s**4 - 54068*s**3 + 68052*s**2 + 3981808*s + 7227312 = 0. -521, -6, -2, 17 Solve 3*y**2/4 - 226503*y/4 - 76521684 = 0 for y. -1328, 76829 Suppose -2*w**2/13 - 82088376*w/13 - 842312684289672/13 = 0. Calculate w. -20522094 Factor -3*x**2/8 - 64263*x - 1542096. -3*(x + 24)*(x + 171344
{ "pile_set_name": "DM Mathematics" }
litres? 476853.7 How many kilograms are there in 580.0821 grams? 0.5800821 What is 7/4 of a millisecond in microseconds? 1750 What is 68.20145 micrograms in grams? 0.00006820145 How many centuries are there in 51/5 of a millennium? 102 What is 8.802433 milligrams in kilograms? 0.000008802433 How many micrograms are there in thirteen quarters of a milligram? 3250 What is 48/5 of a century in months? 11520 What is 3/10 of a litre in millilitres? 300 How many years are there in 2098.193 centuries? 209819.3 How many milligrams are there in 5.697633t? 5697633000 What is 68.26923kg in grams? 68269.23 How many hours are there in four sevenths of a week? 96 Convert 17.87201 millilitres to litres. 0.01787201 What is 18166.61ml in litres? 18.16661 What is 265272.9 nanograms in milligrams? 0.2652729 What is seventeen sixths of a hour in minutes? 170 What is 15/4 of a minute in seconds? 225 How many nanograms are there in three tenths of a microgram? 300 How many days are there in 12/7 of a week? 12 How many litres are there in 9.47399ml? 0.00947399 How many litres are there in 69.36066ml? 0.06936066 How many litres are there in 94124.02ml? 94.12402 How many millilitres are there in 0.6771527 litres? 677.1527 How many micrograms are there in 14320.29 grams? 14320290000 How many centuries are there in 619.634 decades? 61.9634 Convert 906619.2ug to tonnes. 0.0000009066192 What is 939360.6 hours in seconds? 3381698160 What is one fifth of a day in minutes? 288 Convert 508.8459 decades to centuries. 50.88459 Convert 261.6367 hours to minutes. 15698.202 What is three fifths of a meter in centimeters? 60 Convert 349705.4t to kilograms. 349705400 How many millilitres are there in 5.8537 litres? 5853.7 Convert 900.6001 millennia to centuries. 9006.001 What is 280701.2ng in milligrams? 0.2807012 How many decades are there in 0.0998214 centuries? 0.998214 Convert 20.13745 microseconds to milliseconds. 0.02013745 Convert 9.657826 nanometers to millimeters. 0.000009657826 How many months are there in twenty-six fifths of a millennium? 62400 Convert 0.9557337 hours to milliseconds. 3440641.32 How many centuries are there in 822168.4 years? 8221.684 What is 7.491234mg in grams? 0.007491234 How many seconds are there in 474.4201 nanoseconds? 0.0000004744201 What is 67/4 of a meter in millimeters? 16750 What is 6142.052km in millimeters? 6142052000 How many micrometers are there in 11/4 of a millimeter? 2750 What is six fifths of a microsecond in nanoseconds? 1200 What is 6/25 of a century in years? 24 How many litres are there in 35270.22ml? 35.27022 What is three fifths of a millennium in years? 600 How many microseconds are there in 3/40 of a millisecond? 75 How many millilitres are there in 982.979 litres? 982979 How many millilitres are there in seven halves of a litre? 3500 What is 4020.911l in millilitres? 4020911 How many milligrams are there in fourty-two fifths of a gram? 8400 What is 11.15619 millennia in decades? 1115.619 Convert 0.2788802 decades to months. 33.465624 What is seventeen quarters of a hour in seconds? 15300 What is 6/5 of a meter in millimeters? 1200 How many grams are there in 718664.6mg? 718.6646 What is 758798.9 hours in microseconds? 2731676040000000 How many litres are there in 0.2853269 millilitres? 0.0002853269 What is twenty-seven halves of a year in months? 162 How many kilograms are there in 131500.2ng? 0.0000001315002 Convert 8052.137 litres to millilitres. 8052137 How many years are there in 1.74642 months? 0.145535 How many nanometers are there in 855626.7 centimeters? 8556267000000 What is 64/7 of a week in days? 64 How many months are there in 25/4 of a millennium? 75000 How many millilitres are there in eleven quarters of a litre? 2750 How many nanograms are there in 2/125 of a milligram? 16000 What is 390.7713ms in seconds? 0.3907713 Convert 212846.4s to hours. 59.124 What is seven thirds of a hour in seconds? 8400 How many millilitres are there in 493927.2l? 493927200 How many grams are there in 607061.6ng? 0.0006070616 How many years are there in seven quarters of a century? 175 How many millilitres are there in 3/25 of a litre? 120 How many micrometers are there in 17/2 of a millimeter? 8500 Convert 342.061nm to centimeters. 0.0000342061 How many seconds are there in 6.488137 hours? 23357.2932 What is 4/75 of a hour in seconds? 192 How many nanograms are there in 3/50 of a milligram? 60000 What is 3/10 of a centimeter in micrometers? 3000 What is 7.78363 micrometers in millimeters? 0.00778363 How many hours are there in 2/7 of a week? 48 What is seven eighths of a millennium in years? 875 Convert 8886404.7us to hours. 0.00246844575 Convert 73339.63 years to months. 880075.56 How many millilitres are there in 21.35809l? 21358.09 How many meters are there in 0.6346702cm? 0.006346702 How many meters are there in 397.4785 centimeters? 3.974785 How many milliseconds are there in 44.96989 days? 3885398496 How many months are there in three eighths of a century? 450 What is 1/5 of a litre in millilitres? 200 What is thirty-three fifths of a century in years? 660 Convert 116543.8 litres to millilitres. 116543800 What is 1987.586g in nanograms? 1987586000000 How many minutes are there in 2099.2431us? 0.000034987385 How many centimeters are there in 21/2 of a meter? 1050 What is 2576.54 nanometers in meters? 0.00000257654 What is six fifths of a kilometer in meters? 1200 How many years are there in 11/2 of a millennium? 5500 What is five eighths of a milligram in micrograms? 625 How many litres are there in 161.9083 millilitres? 0.1619083 How many decades are there in 97690.49 millennia? 9769049 What is 11/2 of a week in minutes? 55440 How many grams are there in one tenth of a tonne? 100000 How many milliseconds are there in 3/40 of a second? 75 Convert 10294.242 hours to weeks. 61.27525 How many kilograms are there in 3.147995 tonnes? 3147.995 How many micrometers are there in 0.3932246 nanometers? 0.0003932246 How many milliseconds are there in 45/2 of a second? 22500 How many hours are there in 497.46951us? 0.000000138185975 What is 7/2 of a century in months? 4200 Convert 0.1484611 days to seconds. 12827.03904 Convert 1841.7009 months to decades. 15.3475075 How many nanograms are there in 3/40 of a milligram? 75000 What is 33/5 of a millennium in centuries? 66 How many minutes are there in four thirds of a day? 1920 How many meters are there in 70.6316mm? 0.0706316 How many millilitres are there in three eighths of a litre? 375 What is eleven eighths of a kilometer in meters? 1375 How many weeks are there in 113.02599 hours? 0.67277375 What is 929718.7 tonnes in micrograms? 929718700000000000 Convert 646630.4mg to nanograms. 646630400000 What is 0.5588725mm in meters? 0.0005588725 How many millilitres are there in 81/4 of a litre? 20250 How many nanoseconds are there in 9.015089 hours? 32454320400000 How many millilitres are there in 59/5 of a litre? 11800 How many millilitres are there in 2154.922 litres? 2154922 How many millilitres are there in twenty-seven quarters of a litre? 6750 Convert 8315.05 micrometers to nanometers. 8315050 How many minutes are there in fourteeen ninths of a day? 2240 What is five quarters of a micrometer in nanometers? 1250 What is 13/5 of a litre in millilitres? 2600 Convert 6136.713 millilitres to litres. 6.136713 Convert 0.944772 millennia to months. 11337.264 What is 1/16 of a centimeter in micrometers? 625 How many litres are there in 899.6058 millilitres? 0.8996058 What is 17/4 of a year in months? 51 How many litres are there in 127603.8ml? 127.6038 How many millennia are there in 7196.721 decades? 71.96721 Convert 36356.22ms to hours. 0.01009895 What is 9/16 of a day in seconds? 48600 What is 7.318831 micrometers in nanometers? 7318.831 How many millilitres are there in 0.1766566l? 176.6566 What is 3/32 of a kilometer in millimeters? 93750 What is 21/4 of a litre in millilitres? 5250 What is 11/2 of a millimeter in micrometers? 5500 What is 3/40 of a litre in millilitres? 75 How many microseconds are there in 3/50 of a millisecond? 60 How many nanograms are there in one quarter of a microgram? 250 What is 7.95754 millimeters in kilometers? 0.00000795754 How many months are there in 0.07
{ "pile_set_name": "DM Mathematics" }
2 for f. -3 Solve 248*j - 242*j + 12 = 0 for j. -2 Solve -64*t + 18 = -70*t for t. -3 Solve 0 = -21*i + 28*i - 28 for i. 4 Solve -143*n + 78 = -156*n for n. -6 Solve -13*a = 191 - 256 for a. 5 Solve 0 = 4*p - 32 + 24 for p. 2 Solve -9*u + u + 16 = 0 for u. 2 Solve 262 = a + 256 for a. 6 Solve 11*p + 6 = 8*p for p. -2 Solve 5*t + 3 + 2 = 0 for t. -1 Solve 4*x + 72*x = -532 for x. -7 Solve 12 - 8 = 2*s for s. 2 Solve 63*z + 40*z - 515 = 0 for z. 5 Solve -23*j - 1 = 114 for j. -5 Solve -6 = -37*h + 40*h for h. -2 Solve -43 = 30*x - 223 for x. 6 Solve 20 = 5*i - 0 for i. 4 Solve -15*z - 120 = -30*z for z. 8 Solve 4*r = -18 + 30 for r. 3 Solve 21*p - 40 = 29*p for p. -5 Solve 101 - 100 = -p for p. -1 Solve 0 = -53*q - 9*q + 124 for q. 2 Solve 21*m = -29 + 134 for m. 5 Solve -6*u + 8 = -2*u for u. 2 Solve 319*d - 327*d + 32 = 0 for d. 4 Solve 0 = -29*u + 12*u + 17 for u. 1 Solve 3*r - 22 = -31 for r. -3 Solve 6 + 45 = 17*f for f. 3 Solve -6*w - 10*w - 80 = 0 for w. -5 Solve -29 - 36 = 13*o for o. -5 Solve 17*q = -12 - 56 for q. -4 Solve -33*b = -31*b - 4 for b. 2 Solve 3 = x + 6 for x. -3 Solve 3*f - 23 = -8 for f. 5 Solve 1099 = 27*n + 1180 for n. -3 Solve 191*d + 44 = 180*d for d. -4 Solve -6 + 0 = -6*y for y. 1 Solve -19*g + 12 = 31 for g. -1 Solve 102 = 104*u - 87*u for u. 6 Solve -643*u - 8 = -639*u for u. -2 Solve -6 = 22*i - 28*i for i. 1 Solve 362 = 5*l + 327 for l. 7 Solve 83*j = 88*j + 25 for j. -5 Solve -4*s = -60 + 72 for s. -3 Solve 55 = 51*g - 62*g for g. -5 Solve 41*h - 90 = 56*h for h. -6 Solve -45 = -7*v - 8*v for v. 3 Solve 345 = 13*d + 56*d for d. 5 Solve 474 = 3*c + 462 for c. 4 Solve -7*j - 6 = -4*j for j. -2 Solve 39*h = -64 - 53 for h. -3 Solve 18 = 46*l - 120 for l. 3 Solve -9 = 12*b + 75 for b. -7 Solve -105*c - 3*c = 0 for c. 0 Solve 0 = -3*w - 6*w + 9 for w. 1 Solve 4*v + 22 = 6 for v. -4 Solve 34 = -3*q + 40 for q. 2 Solve 76 = -22*v + 274 for v. 9 Solve -720*z - 84 = -732*z for z. 7 Solve -100 = 3*c - 23*c for c. 5 Solve 0 = 9*l + 2 - 38 for l. 4 Solve 253 + 161 = -46*l for l. -9 Solve 124 - 108 = -2*y for y. -8 Solve -117 = 34*z + 87 for z. -6 Solve 4 = -3*c + 7 for c. 1 Solve 28*h + 168 = 4*h for h. -7 Solve -20 = 8*i - 3*i for i. -4 Solve -4*d - 4*d = 8 for d. -1 Solve -13*v + 24 = -7*v for v. 4 Solve 0 = 1857*r - 1846*r - 66 for r. 6 Solve -15 = -13*t + 8*t for t. 3 Solve 6*q = -33 + 27 for q. -1 Solve -16*n - 27 = 5 for n. -2 Solve -13*f + 4*f = 9 for f. -1 Solve 514 = u + 515 for u. -1 Solve 3 = -b + 6 for b. 3 Solve -4411*a + 70 = -4425*a for a. -5 Solve 17*a = -29*a + 46 for a. 1 Solve 3*m + 10 = 7 for m. -1 Solve 22*f + 6 = 20*f for f. -3 Solve -4*s - 2267 = -2235 for s. -8 Solve 5 = 2*c + 9 for c. -2 Solve -3*h = -4*h - 0*h for h. 0 Solve 0 = -9*a + 56 - 20 for a. 4 Solve 78*z = 38*z - 320 for z. -8 Solve -28*c = -6*c + 88 for c. -4 Solve -16 = -28*y + 32*y for y. -4 Solve -8*v - 16 = 16 for v. -4 Solve -21*c - 39*c = -240 for c. 4 Solve -10 = 7*k - 24 for k. 2 Solve 11*t = 21*t + 10 for t. -1 Solve -57*n + 198 = -30 for n. 4 Solve l + 0*l = 2*l for l. 0 Solve 6*k + 18*k = -48 for k. -2 Solve -224 = 10*f + 18*f for f. -8 Solve -4*r - 12 = 4 for r. -4 Solve 8 = 3*t - 7*t for t. -2 Solve -89*a = -664 + 41 for a. 7 Solve -7*i + 1604 = 1632 for i. -4 Solve -7 = -12*a + 113 for a. 10 Solve -34*a = -36*a - 6 for a. -3 Solve 0 = 9*r - 45 + 9 for r. 4 Solve 84 = 12*m + 2*m for m. 6 Solve 32*x + 36*x - 68 = 0 for x. 1 Solve -8 = -25*j - 108 for j. -4 Solve -3*l + 144 = 150 for l. -2 Solve 14*b + 15*b - 29 = 0 for b. 1 Solve -4*t - 363 = -399 for t. 9 Solve 116 = -7*t + 130 for t. 2 Solve -8 = 3*m + 4 for m. -4 Solve 6*v - 28 = -8*v for v. 2 Solve 4*r + 126 = 134 for r. 2 Solve 40*x - 2*x = 190 for x. 5 Solve 74*h = 81*h + 49 for h. -7 Solve -26*g + 203 = 125 for g. 3 Solve 5*y = 19*y - 70 for y. 5 Solve -616 + 580 = -9*i for i. 4 Solve 0 = -390*j + 385*j for j. 0 Solve u = 16 - 10 for u. 6 Solve -14*m + 71 = 85 for m. -1 Solve -24 = -5*w - 9 for w. 3 Solve 9*j = 19 - 37 for j. -2 Solve 24 = 23*a + 1 for a. 1 Solve -47 = 3*n - 50 for n. 1 Solve -7*i = 2*i + 18 for i. -2 Solve 1990*y = 2001*y - 44 for y. 4 Solve -20*g = 126 - 6 for g. -6 Solve -13*y = 6*y - 19 for y. 1 Solve 9*t - 6*t - 6 = 0 for t. 2 Solve 44*v - 30 = 54*v for v. -3 Solve 25*w - 4*w = 105 for w. 5 Solve 12*l + 5733 = 5613 for l. -10 Solve -37*h - 66*h - 721 = 0 for h. -7 Solve -114 = -18*v - 6 for v. 6 Solve -33 + 34 = -k for k. -1 Solve -3 = -5*p + 2*p for p. 1 Solve -27 = -21*s + 30*s for s. -3 Solve 0 = 3*p - 558 + 543 for p. 5 Solve 3*c - 13*c = -30 for c. 3 Solve 55 = 14*j - 15 for j. 5 Solve -17 + 14 = -3*b for b. 1 Solve 10*j + 35 = 3*j for j. -5 Solve -32 = 5*x - 37 for x. 1 Solve 0 = 37*u - 38*u - 1 for u. -1 Solve 5*x + 9 = 8*x for x. 3 Solve 0 = 2*f + 128*f + 650 for f. -5 Solve -9 + 5 = -v for v. 4 Solve 10*y = -y + 22 for y. 2 Solve 0 = 22*q - 10 - 12 for q. 1 Solve 0 = -4*q - 9*q + 65 for q. 5 Solve 61 - 35 = -13*x for x. -2 Solve 7*r + 6 = 10*r for r. 2 Solve -2*z - 207 = -217 for z. 5 Solve 21 = 20*q - 59 for q. 4 Solve x = 7*x - 18 for x. 3 Solve 0 = 18*w - 27*w + 45 for w. 5 Solve 1046*w - 1035*w = 77 for w. 7 Solve 0 = -13*d + 8*d - 20 for d. -4 Solve -4*w + w + 3 = 0 for w. 1 Solve 10*f = 7*f + 3 for f. 1 Solve -5 = 12*z - 11*z for z. -5 Solve -164 = 42*o + 46 for o. -5 Solve 19*i = 26*i - 7 for i. 1 Solve -508*v + 15 = -513*v for v. -3 Solve 0 = -113*z + 117*z + 8 for z. -2 Solve 42*y - 66 - 102 = 0 for y. 4 Solve 230 = -38*i - 74 for i. -8 Solve -12*n = -0*n - 48 for n. 4 Solve 12*n + 1489 = 1417 for n. -6 Solve 2*f - 27 = -31 for f. -2 Solve 181 - 217 = 9*v for v. -4 Solve 0 = -3*t - 2*t for t. 0 Solve -30 = 18*i - 24*i for i. 5 Solve 882 = -10*t + 852 for t. -3 Solve 0 = 46*u + 233 + 43 for u. -6 Solve 18*z = 11*z + 21 for z. 3 Solve 99*q = 95*q + 28 for q. 7 Solve 4*k + 11 + 1 = 0 for k. -3 Solve 0 = 23*o - 14*o + 45 for o. -5 Solve 108 - 30 = 13*v for v. 6 Solve -11*u + 16 = -7*u for u. 4 Solve -9 + 9 = 12*b for b. 0 Solve 88 = -31*m + 53*m for m. 4 Solve -70*t - 264 = -37*t for t. -8 Solve -149*r = -168*r - 95 for r. -5 Solve 7*u = 3*u + 12 for u. 3 Solve -6*k = -10*k + 27*k for k. 0 Solve -2*s + 12 = 2*s for s. 3 Solve -11 = -9*g + 20*g for g. -1 Solve -x + 45 - 39 = 0 for x. 6 Solve 0 = 7*a - 11*a - 4 for a. -1 Solve p = -3 + 1 for p. -2 Solve 431*r = 432*r + 1 for r. -1 Solve 11*v = v + 20 for v. 2 Solve -99 = -13*f - 86 for f. 1 Solve 33 = -12*s - 3 for s. -3 Solve -57 + 120 = -7*z for z. -9 Solve 59*v = 63*v + 24 for v. -6 Solve 6*u = 10*u + 16 for u. -4 Solve -7*x + 18 = -x for x. 3 Solve 0 = 30*t + 11*t - 41 for t. 1 Solve 166 = -28*b + 26 for b. -5 Solve 37*j = 32*j + 5 for j. 1 Solve 26*x = -22*x - 288 for x. -6 Solve -w + 12*w + 44 = 0 for w. -4 Solve 117*j - 108*j + 27 = 0 for j. -3 Solve 10 = z - 3*z for z. -5 Solve -8*n + n - 28 = 0 for n. -4 Solve 13*d - 10 = 11*d for d. 5 Solve 33 = -10*t - 77 for t. -11 Solve 18*y + 8 = 14*y for y. -2 Solve 24 = -9*c + 15 for c. -1 Solve 38 = 11*n - 17 for n. 5 Solve 334*l - 24 = 328*l for l. 4 Solve 432 = -36*c + 90*c for c. 8 Solve -9 = 16*g - 7*g for g. -1 Solve -21*x - 10 = -16*x for x. -2 Solve -3*p + 12 + 3 = 0 for p. 5 Solve 3*q = 2*q + 5 for q. 5 Solve -19 = 13*x - 6 for x. -1 Solve 10*q = 151 - 181 for q. -3 Solve -8*r - 3*r + 13*r = 0 for r. 0 Solve 0 = -2*r + 2054 - 2062 for r. -4 Solve -11*s - 11 = -0 for s. -1 Solve -11*x - 2 + 13 = 0 for x. 1 Solve 281*x - 60 = 275*x for x. 10 Solve -78*l - 95 = 61 for l. -2 Solve 11*z = 69 - 3 for z. 6 Solve -91 = 22*t - 25 for t. -3 Solve -148 = -4*z - 164 for z. -4 Solve -31*i - 2 = -30*i for i. -2 Solve 4*s - 4 + 12 = 0 for s. -2 Solve -11*t = -18*t - 7 for t. -1 Solve 8*o - 213 = -205 for o. 1 Solve 78 + 204 = 47*q for q. 6 Solve -i - 24 = -7*i for i. 4 Solve -5*c + 3 = -4*c for c. 3 Solve 25*n - 24 = 37*n for n. -2 Solve 509*p - 25 = 534*p for p. -1 Solve -24*b - 4 = -20*b for b. -1 Solve -49*n = -14*n + 105 for n. -3 Solve -23 + 331 = 44*u for u. 7 Solve 17*f + 7 - 58 = 0 for f. 3 Solve 0 = -21*t + 121 + 5 for t. 6 Solve 27*s = -s - 56 for s. -2 Solve w = -0*w for w. 0 Solve -40 = 3*i - 64 for i. 8 Solve 47*k = 31*k + 48 for k. 3 Solve 0 = -0*h - 3*h - 9 for h. -3 Solve 0 = 14*x - 181 + 97 for x. 6 Solve j = -25*j - 130
{ "pile_set_name": "DM Mathematics" }
nteger? 18 Let x = 90017513 + -90017346.909158. Let z = x + -29.991495. Let a = z - 136.1. Round a to four decimal places. -0.0007 Let z = -599 - -598.9998602. What is z rounded to 4 decimal places? -0.0001 Let f = 0.0696 + 138.9304. Let m = 138.9999124 - f. Round m to 5 dps. -0.00009 Let o = -61.1 + 61.10003853. What is o rounded to five decimal places? 0.00004 Let f = 12762.999956184 + -12763. Round f to 6 decimal places. -0.000044 Suppose 0 = 5*g - k - 4758000, -5*k - 4345441 + 539041 = -4*g. Round g to the nearest ten thousand. 950000 Let o = 1056.4014683 - 1056.4. What is o rounded to four decimal places? 0.0015 Let t(p) = -12*p - 27. Let i be t(-4). Suppose -393667 = -i*b + 181523. Round b to the nearest one thousand. 27000 Let l = -14949 + 14948.46985. What is l rounded to 1 dp? -0.5 Suppose -9*n - 187559355 - 229910241 = 358960404. What is n rounded to the nearest 1000000? -86000000 Let h = 17576.5 - 11295.6. Round h to the nearest one thousand. 6000 Let s = 268 + -83. Let z be 1304998/(-5) - 74/s. What is z rounded to the nearest 100000? -300000 Let s = -2961 - -2605.3. Let b = s + 327. Round b to the nearest integer. -29 Let c = 12724.559 - 12734. Let z = -4.96 - c. What is z rounded to one dp? 4.5 Let f = -2910.1526 - -2907.4. Round f to one decimal place. -2.8 Let a = -30629.9845452 + 30630. Round a to 4 decimal places. 0.0155 Let d(m) = -130589*m**2 - 184. Let x be d(12). What is x rounded to the nearest 1000000? -19000000 Let h = -438.3 - -6.3. Let s = h + 432.000191. What is s rounded to 4 decimal places? 0.0002 Let c = -24.92 - -24.7. Let v = c - -0.22656. Round v to three dps. 0.007 Let f = 41285 - 39648.86. Let l = -1658 + f. What is l rounded to zero dps? -22 Let n = 2213.583435953 - -8230521.316555247. Let p = -8232732 + n. Let v = 2.9 - p. What is v rounded to five decimal places? 0.00001 Let m = -92948 - -189864. Let r(g) = 6290*g + 936. Let s be r(22). Let o = m - s. Round o to the nearest ten thousand. -40000 Let y be 2/7 - 16/7. Let k(a) = -814*a**2 - 2*a - 9. Let c be k(y). What is c rounded to the nearest 100? -3300 Let i = 26308 + -26308.00000046636. What is i rounded to seven decimal places? -0.0000005 Let z = 10159.9999982684 - 10160. Round z to seven dps. -0.0000017 Let t = 141.1 + -468. Let f = t + 375. Let i = -48.099801 + f. Round i to four dps. 0.0002 Let n = 32101869 + -7800869. Round n to the nearest one million. 24000000 Let k(s) = -13227*s + 9. Let w be k(2). Suppose -24*j = -19*j + 74725. Let g = j - w. Round g to the nearest one thousand. 12000 Let f = -3217.348 - 23.252. What is f rounded to the nearest 100? -3200 Suppose -5*f + 1981 + 419 = 0. Suppose -h + f = 5*d, -10*d + 2*h = -8*d - 204. What is d rounded to the nearest integer? 97 Let y = -8520 + 8520.018646. Round y to four decimal places. 0.0186 Let o = -25056 - -24000.9. Let g = o - -1055.0993431. What is g rounded to 4 decimal places? -0.0007 Let p(s) = 4420*s**2 - 273*s + 1385. Let b be p(5). Round b to the nearest one thousand. 111000 Let d = 2373.352 - 2380. Round d to 1 decimal place. -6.6 Let k = 717555 - -75725. Round k to the nearest 10000. 790000 Let h = -555894514 + 883794509. Suppose 20*s = 17*s - y - h, 3*y - 15 = 0. Round s to the nearest one million. -109000000 Suppose 30*u + 3458720 = 46*u. What is u rounded to the nearest ten thousand? 220000 Let f = 12.82 - 0.21. Let c = -0.068 + 1.078. Let z = f - c. What is z rounded to the nearest integer? 12 Suppose 3*c = -5*o - 8367, 12*o = 9*o + 3*c - 5025. Let i be -1 + 2*402 + 1. Let w = o + i. Round w to the nearest one hundred. -900 Suppose -13*l + 27661542 + 122058 = 0. What is l rounded to the nearest ten thousand? 2140000 Let f = -10772 - -174869. Let n be 62313/((-3)/(-1))*1. Suppose -l = -3*u - f, 2*l + n = 2*u + 130165. Round u to the nearest 10000. -50000 Let l = -0.458 + -201.542. Let y = l + 201.19. Let k = -1.35 - y. What is k rounded to one dp? -0.5 Let w = 14083.7859 - 14063.9. Let l = 359.1 - 379. Let s = l + w. What is s rounded to 3 decimal places? -0.014 Let l = -27.13 - -27.1304928. Round l to five decimal places. 0.00049 Let r = -105 + 98.856. Let c = 11.9 + -5.7. Let u = r + c. What is u rounded to two decimal places? 0.06 Let x = -10.337 + 6.188. What is x rounded to 1 decimal place? -4.1 Let b = -11.96 + 11.960009928. What is b rounded to six dps? 0.00001 Let a(k) = -3563*k**2 + 8*k + 35. Suppose -5*f + 307 = -243. Let t be (f/(-30))/((-1)/3). Let g be a(t). What is g rounded to the nearest 100000? -400000 Suppose 53787405 + 32332395 = -362*b. Round b to the nearest 100000. -200000 Let s = -51.88 + -0.12. Let m = s + 73. Let b = m + -20.7. Round b to zero decimal places. 0 Let p = 59860 - 59860.51999. Round p to two dps. -0.52 Let j = 29 - 352. Let b = j + 322.99999294. Round b to six dps. -0.000007 Let g(f) = 20*f + 7*f + 4*f**2 - 18*f - 50 + 219. Let y be g(-14). Round y to the nearest 100. 800 Let c = 0.2736168 - 0.0481758. What is c rounded to three decimal places? 0.225 Let i = -0.041 - 32.959. Let h = 55 + i. Let s = h + -21.9985. What is s rounded to three dps? 0.002 Let w = 181 + -179. Let u be (12/(-10))/w - (-68292)/(-180). Round u to the nearest 10. -380 Suppose 7*x - 58 = -16. Let a be (108400/x - 0)/((-54)/243). What is a rounded to the nearest ten thousand? -80000 Suppose -16*a = 2134046784 - 7215166784. Round a to the nearest 1000000. 318000000 Let k = -5.242 + -0.258. Let n = -5.4999998 - k. What is n rounded to 6 decimal places? 0 Let y = -3.338 - -3.3. Let w = 0.059 + y. Let g = w + -0.066. Round g to two decimal places. -0.05 Let u = 494 - 488. Suppose 961100 = 13*p - u*p. What is p rounded to the nearest 10000? 140000 Let v = -311 - -311.03855. Let s = -0.0344 + v. What is s rounded to three dps? 0.004 Let s = -109.78 + 87.62. What is s rounded to one dp? -22.2 Suppose 0 = -6*x - 3*j - 160314, -6*x = -10*x + j - 106888. Round x to the nearest one hundred. -26700 Let l = 76367 - 69960.2. What is l rounded to the nearest one hundred? 6400 Let s(b) = -b**3 + 20*b**2 - b + 23. Let y be s(20). Let w be -1 + y + 8340006/(-3). What is w rounded to the nearest one hundred thousand? -2800000 Let x = -65581.0000093266 + 65581. Round x to 6 decimal places. -0.000009 Suppose -320*k = 3*a - 319*k - 151611, 202174 = 4*a - 3*k. What is a rounded to the nearest 100? 50500 Suppose 243*i + 1440000 = 275*i. Round i to the nearest ten thousand. 50000 Let q = -865 - -864.996495. Round q to four decimal places. -0.0035 Let s = 8.200584 + -8.2. What is s rounded to four decimal places? 0.0006 Let d = 4432389.79198 + -4432325. Let m = d - 64.8. Round m to four dps. -0.008 Let b = 124 - 358. Let r = b + 233.94. What is r rounded to 1 dp? -0.1 Suppose m - 2*j = -3*m + 482719976, 2*m - 3*j = 241359980. Suppose 0 = -4*u + 4*r - m, 0 = -4*r + 2*r - 2. What is u rounded to the nearest 1000000? -30000000 Let y = -0.0846 - -0.072. Let z = y - -0.0541. Round z to 2 decimal places. 0.04 Let d be (463584/((-110)/10))/((-3)/(-50)). What is d rounded to the nearest 10000? -700000 Let t = 10.25 - 10.2. Let i = 151.822 + -152. Let k = i - t. What is k rounded to 2 decimal places? -0.23 Suppose 16*c - 8*c - 16 = 0. Suppose 8*i - 4*h = 12*i + 8412004, c*i = -5*h - 4206005. Round i to the nearest one million. -2000000 Let p = -43069.82 - -42673. Round p to the nearest one hundred. -400 Let s = -79006.9862297 + 79007. Let l = s - 0.0135. Round l to 4 dps. 0.0003 Let h = -156066 + 156065.999913279. Round h to 5 decimal places. -0.00009 Let p = 138.838 - 139. Let z = 0.16199958 + p. What is z rounded to 6 dps? 0 Let d = 11093.004997 - 11093. What is d rounded to 4 decimal places? 0.005 Let s = -13416106 - 4471003. Let w = -1977109 - s. What is w rounded to the nearest 1000000? 16000000 Let g = -67990.717 + 68025. Round g to the nearest ten. 30 Let c = -0.2891362 - -0.29193. What is c rounded to 4 decimal places? 0.0028 Let z = -0.986 + 1. Let b = -8.786 - z. Let c = b - -8.79999796. Round c to 7 dps. -0.000002 Suppose -55 = -7*q + 498. Suppose -q*l + 21980 = -51*l. What is l rounded to the nearest ten? 790 Let n = -0.0432 + -34.6568. Let q = 31 + n. Let c = 5.53 + q. What is c rounded to 1 dp? 1.8 Suppose 13*l - 1585 - 19449 = 0. Let n = l - 3718. Round n to the nearest 1000. -2000 L
{ "pile_set_name": "DM Mathematics" }
7, 92, 225, 450, 791, 1272? 4*n**3 - 2*n**2 - n + 5 What is the f'th term of 54, 63, 64, 51, 18, -41, -132, -261? -f**3 + 2*f**2 + 10*f + 43 What is the b'th term of 95, 95, 97, 101, 107, 115? b**2 - 3*b + 97 What is the k'th term of 14, -31, -106, -211, -346, -511? -15*k**2 + 29 What is the a'th term of 268, 269, 270, 271? a + 267 What is the c'th term of 69, 119, 261, 543, 1013, 1719? 8*c**3 - 2*c**2 + 63 What is the q'th term of 20, 24, 2, -58, -168, -340, -586, -918? -2*q**3 - q**2 + 21*q + 2 What is the x'th term of -118, -122, -120, -106, -74? x**3 - 3*x**2 - 2*x - 114 What is the t'th term of 1433, 2850, 4269, 5690, 7113, 8538, 9965? t**2 + 1414*t + 18 What is the c'th term of 52, 57, 62? 5*c + 47 What is the h'th term of -428, -859, -1288, -1715, -2140? h**2 - 434*h + 5 What is the a'th term of -17420, -34838, -52256? -17418*a - 2 What is the t'th term of 189, 331, 457, 561, 637, 679, 681, 637? -t**3 - 2*t**2 + 155*t + 37 What is the t'th term of 91, 23, -19, -23, 23, 131, 313, 581? 2*t**3 + t**2 - 85*t + 173 What is the j'th term of -71, -60, -35, 10, 81? j**3 + j**2 + j - 74 What is the a'th term of -6, -45, -158, -381, -750, -1301, -2070? -6*a**3 - a**2 + 6*a - 5 What is the h'th term of 20, -22, -100, -220, -388, -610, -892? -h**3 - 12*h**2 + h + 32 What is the n'th term of -20, -41, -62, -83, -104, -125? -21*n + 1 What is the u'th term of -90, -768, -2610, -6198, -12114, -20940, -33258? -97*u**3 + u + 6 What is the h'th term of 16, 74, 172, 310, 488, 706, 964? 20*h**2 - 2*h - 2 What is the i'th term of 7805, 7803, 7791, 7763, 7713? -i**3 + i**2 + 2*i + 7803 What is the i'th term of -6, 6, 32, 78, 150, 254, 396, 582? i**3 + i**2 + 2*i - 10 What is the o'th term of -35, -18, 9, 46? 5*o**2 + 2*o - 42 What is the w'th term of -2885, -5769, -8653, -11537? -2884*w - 1 What is the l'th term of 195, 853, 1949, 3483? 219*l**2 + l - 25 What is the c'th term of -3, -4, -7, -12, -19, -28, -39? -c**2 + 2*c - 4 What is the s'th term of 4, 21, 40, 61, 84, 109, 136? s**2 + 14*s - 11 What is the w'th term of 96, 487, 1140, 2055, 3232, 4671, 6372? 131*w**2 - 2*w - 33 What is the l'th term of 49, 116, 213, 346, 521? l**3 + 9*l**2 + 33*l + 6 What is the j'th term of 4, 16, 58, 148, 304? 3*j**3 - 3*j**2 + 4 What is the m'th term of -25, -38, -77, -154, -281, -470? -2*m**3 - m**2 + 4*m - 26 What is the u'th term of -75, -163, -251? -88*u + 13 What is the q'th term of -23, -32, -47, -68, -95, -128? -3*q**2 - 20 What is the d'th term of -14, -87, -282, -659, -1278, -2199, -3482? -10*d**3 - d**2 - 3 What is the k'th term of 31, 107, 183, 259? 76*k - 45 What is the u'th term of 6084, 24331, 54742, 97317, 152056, 218959, 298026? 6082*u**2 + u + 1 What is the q'th term of 277, 548, 819? 271*q + 6 What is the b'th term of 46, 56, 66, 76? 10*b + 36 What is the z'th term of -42, -191, -448, -813? -54*z**2 + 13*z - 1 What is the q'th term of -2, 14, 40, 76, 122? 5*q**2 + q - 8 What is the g'th term of -78, -160, -242? -82*g + 4 What is the d'th term of -89, -104, -157, -266, -449? -3*d**3 - d**2 + 9*d - 94 What is the o'th term of 15, 49, 107, 201, 343? 2*o**3 + 20*o - 7 What is the f'th term of 6, 12, 18? 6*f What is the t'th term of 37, 55, 63, 55, 25, -33, -125, -257? -t**3 + t**2 + 22*t + 15 What is the h'th term of 47, 227, 709, 1643, 3179, 5467? 25*h**3 + h**2 + 2*h + 19 What is the w'th term of 30850, 30854, 30860, 30868? w**2 + w + 30848 What is the a'th term of 1163, 2321, 3477, 4631, 5783, 6933, 8081? -a**2 + 1161*a + 3 What is the a'th term of 647, 642, 637, 632? -5*a + 652 What is the x'th term of 54673, 54676, 54681, 54688, 54697, 54708? x**2 + 54672 What is the w'th term of 141, 143, 145, 147? 2*w + 139 What is the x'th term of -513, -1022, -1531, -2046, -2573, -3118, -3687, -4286? -x**3 + 6*x**2 - 520*x + 2 What is the b'th term of -60, -117, -190, -285, -408, -565, -762, -1005? -b**3 - 2*b**2 - 44*b - 13 What is the a'th term of -2012, -4026, -6040, -8054? -2014*a + 2 What is the d'th term of 157, 311, 465, 619, 773, 927? 154*d + 3 What is the s'th term of 39, 63, 103, 159? 8*s**2 + 31 What is the m'th term of -31, 30, 131, 272, 453, 674? 20*m**2 + m - 52 What is the b'th term of 22, 30, 40, 52, 66, 82, 100? b**2 + 5*b + 16 What is the z'th term of -3746, -3748, -3750, -3752, -3754, -3756? -2*z - 3744 What is the q'th term of 8, 157, 568, 1373, 2704? 22*q**3 - q**2 - 2*q - 11 What is the y'th term of 37, 44, 65, 106, 173, 272, 409, 590? y**3 + y**2 - 3*y + 38 What is the c'th term of 84, 83, 82? -c + 85 What is the u'th term of 132, 227, 322, 417? 95*u + 37 What is the o'th term of -44, -58, -82, -122, -184? -o**3 + o**2 - 10*o - 34 What is the g'th term of -52, -91, -126, -157, -184, -207, -226? 2*g**2 - 45*g - 9 What is the d'th term of -155, -188, -219, -248, -275, -300? d**2 - 36*d - 120 What is the o'th term of -2438, -4873, -7308? -2435*o - 3 What is the u'th term of -14, 9, 48, 103, 174, 261, 364? 8*u**2 - u - 21 What is the o'th term of -25, -9, 25, 83, 171, 295, 461? o**3 + 3*o**2 - 29 What is the y'th term of -38, -3, 50, 127, 234, 377, 562, 795? y**3 + 3*y**2 + 19*y - 61 What is the k'th term of -35, -34, -33? k - 36 What is the v'th term of -4759, -19023, -42789, -76051, -118803, -171039, -232753, -303939? v**3 - 4757*v**2 - 3 What is the s'th term of -19, -32, -49, -64, -71? s**3 - 8*s**2 + 4*s - 16 What is the x'th term of -6, 18, 68, 156, 294? 2*x**3 + x**2 + 7*x - 16 What is the h'th term of 19, 42, 91, 178, 315, 514? 2*h**3 + h**2 + 6*h + 10 What is the z'th term of 37, 68, 131, 238, 401, 632, 943? 2*z**3 + 4*z**2 + 5*z + 26 What is the z'th term of -14, 15, 58, 121, 210, 331, 490? z**3 + z**2 + 19*z - 35 What is the g'th term of 52, 49, 46, 43, 40, 37? -3*g + 55 What is the m'th term of 69, 163, 257? 94*m - 25 What is the o'th term of -101, -102, -103? -o - 100 What is the x'th term of -22, -62, -150, -304, -542, -882? -3*x**3 - 6*x**2 - x - 12 What is the m'th term of 915, 911, 903, 891, 875, 855? -2*m**2 + 2*m + 915 What is the w'th term of -259, -519, -779, -1039? -260*w + 1 What is the p'th term of 1, 9, 17, 19, 9, -19? -p**3 + 6*p**2 - 3*p - 1 What is the d'th term of 1300, 1301, 1302, 1303, 1304? d + 1299 What is the b'th term of -1661, -1664, -1669, -1676, -1685, -1696, -1709? -b**2 - 1660 What is the z'th term of 90, 212, 334, 456? 122*z - 32 What is the d'th term of -23, -104, -239, -428, -671? -27*d**2 + 4 What is the u'th term of -1175, -1162, -1135, -1088, -1015? u**3 + u**2 + 3*u - 1180 What is the j'th term of 20, 35, 70, 131, 224, 355, 530, 755? j**3 + 4*j**2 - 4*j + 19 What is the v'th term of -16004, -15998, -15988, -15974, -15956? 2*v**2 - 16006 What is the z'th term of -535, -1082, -1629, -2176, -2723, -3270? -547*z + 12 What is the f'th term of 77, 108, 187, 338, 585? 4*f**3 + 3*f + 70 What is the g'th term of 33, 30, 25, 18, 9? -g**2 + 34 What is the k'th term of -53, -39, -3, 67, 183, 357, 601? 2*k**3 - k**2 + 3*k - 57 What is the w'th term of 951, 1903, 2855, 3807, 4759? 952*w - 1 What is the m'th term of 1672, 1663, 1654? -9*m + 1681 What is the r'th term of 1121, 1106, 1077, 1028, 953, 846, 701, 512? -r**3 - r**2 - 5*r + 1128 What is the a'th term of -3882, -7765, -11646, -15525, -19402, -23277, -27150? a**2 - 3886*a + 3 What is the w'th term of -231, -938, -2117, -3768, -5891? -236*w**2 + w + 4 What is the k'th term of 227, 247, 267, 287, 307, 327? 20*k + 207 What is the u'th term of -255, -485, -715, -945? -230*u - 25 What is the a'th term of 26, 44, 70, 110, 170, 256, 374? a**3 - 2*a**2 + 17*a + 10 What is the b'th term of -547, -1094, -1641? -547*b What is the y'th term of 612, 611, 624, 657, 716? y**3 + y**2 - 11*y + 621 What is the u'th term of 82, 336, 760, 1354, 2118? 85*u**2 - u - 2 What is the u'th term of -26, -28, -30, -32, -34, -36? -2*u - 24 What is the q'th term of 924, 925, 926? q + 923 What is the o'th term of -15, -34, -57, -84, -115, -150, -189? -2*o**2 - 13*o What is the g'th term of 179, 364, 547, 728? -g**2 + 188*g - 8 What is the g'th term of 43, 167, 291, 415, 539, 663? 124*g - 81 What is the m'th term of -712, -1447, -2196, -2965, -3760, -4587, -5452? -m**3 - m**2 - 725*m + 15 What is the a'th term of -47, -99, -153, -209, -267, -327? -a**2 - 49*a + 3 What is the k'th term o
{ "pile_set_name": "DM Mathematics" }
3*z - 137 - 199 = 0. Calculate the greatest common factor of z and s. 28 Let h be 0 - (-1 + 2)*-17. Suppose 155 = 3*b - 4*w - 100, 7*b - 3*w - 595 = 0. Calculate the greatest common divisor of h and b. 17 Suppose -b - d - 8 = -3, 3*b + 25 = -5*d. Suppose 3*q = -4*y - 145, -q + 2*y + 2*y - 27 = b. Let n = 61 + q. Calculate the greatest common factor of n and 18. 18 Let f(b) = 89*b + 6. Let h be f(-1). Let p = h - -251. Calculate the greatest common divisor of p and 42. 42 Suppose -4*l + 177 - 61 = 0. What is the highest common divisor of 261 and l? 29 Suppose 5*c + 2*x = 1019, -2*x + 250 + 154 = 2*c. What is the highest common factor of 123 and c? 41 Suppose -5*b = 87 - 212. What is the highest common factor of 1 and b? 1 Let m = 90 - 31. Calculate the highest common factor of 1 and m. 1 Suppose 9*l - 2122 = 254. Let r = -43 - -76. Calculate the greatest common factor of r and l. 33 Suppose -g + 8*y = 3*y - 50, -362 = -5*g - 3*y. Suppose -2*w + 147 = 2*v + w, 5*w - g = -v. What is the greatest common divisor of 30 and v? 15 Let r(k) = -17*k - 5. Let a(t) = 9*t + 2. Let f(h) = 7*a(h) + 3*r(h). Let v be f(-2). Let j = 88 + v. Calculate the greatest common factor of j and 9. 9 Suppose l = -5*j + 1105, -5*j - 8*l = -5*l - 1115. Let p = 21 + -47. Let k = p + 46. What is the greatest common divisor of j and k? 20 Suppose 3*g + 3*z - 4*z + 123 = 0, 0 = 2*z. Let w = g + -55. Let m be w/15*(-5)/2. What is the highest common divisor of 128 and m? 16 Let z = -138 + 166. Calculate the greatest common factor of 4 and z. 4 Let m = -2454 - -2465. Suppose n - 2*y - 88 = 0, 0*n + 3*n - 264 = -5*y. What is the highest common factor of m and n? 11 Let k(u) be the second derivative of -u**5/20 + 2*u**4/3 + u**3/6 + 4*u**2 + 12*u. Let t be k(7). Calculate the greatest common divisor of 4 and t. 4 Let z(n) = -18*n - 108. Let q be z(-11). Calculate the greatest common factor of 50 and q. 10 Let n be 6 - (-2 + 1 - 2). Let z(v) = v**3 - 10*v**2 + 11*v - 4. Let i be z(n). Let m be -2*i*10/(-8). What is the greatest common divisor of 5 and m? 5 Suppose 4*t = 2*r + 50, -7*r + 2*r = 5*t - 25. Let m = 112 - -29. Let b be m + -26 - (4 - -1). Calculate the greatest common factor of b and t. 10 Let n(k) = 3 - 12*k - 2*k**2 - 6*k + 4*k. Let f be n(-7). What is the highest common divisor of 2 and f? 1 Let f(h) = -9*h**2 - h**2 - 19*h**3 + 7*h**2 + 9*h - 8*h - 2. Let z be f(-2). What is the greatest common factor of 17 and z? 17 Suppose 5*l = 16 + 64. Let a = 35 + -21. Let v = -6 + a. Calculate the greatest common factor of l and v. 8 Let z be ((-156)/(-9))/(2/3). Suppose 31*h - 29*h - 104 = 0. Calculate the greatest common divisor of z and h. 26 Let a = 1619 + -595. What is the highest common factor of 16 and a? 16 Suppose 0 = 9*f - 13*f + 828. Let a = 68 - 45. What is the greatest common divisor of a and f? 23 Let v(q) = 0*q + 7 + 7 + q - 5. Let h be v(0). Let b be (-6)/4 - 57/(-2). Calculate the highest common divisor of b and h. 9 Suppose -2*p + 4*w + 70 = -0*p, 3*p - 120 = 3*w. What is the highest common divisor of 10 and p? 5 Let x(v) be the first derivative of -5*v**2/2 - 12*v - 11. Let a be x(-5). Let n = 2 - -24. Calculate the highest common divisor of n and a. 13 Suppose -38*i = -18*i - 2400. What is the greatest common divisor of i and 150? 30 Let l(k) = 3*k + 32. Let u(v) = -3*v - 32. Let j(p) = -3*l(p) - 2*u(p). Let a be j(-16). What is the highest common divisor of a and 16? 16 Let b(v) = 83*v**2 + 5*v - 23. Let u be b(2). What is the highest common divisor of u and 88? 11 Suppose -2*i + 29 = -3*r + 4, 5 = i - 3*r. Let y be (-1)/(i/(-8)) + (-446)/(-10). Calculate the highest common factor of y and 18. 9 Suppose 65*i = 68*i - 171. Calculate the greatest common factor of i and 76. 19 Let n be 1/(-2) + (-300)/(-24). Let u = 123 + -99. What is the highest common factor of n and u? 12 Suppose 0 = h - 164 + 125. What is the greatest common factor of h and 13? 13 Suppose h - 40 = 6*h. Let d be 50*-5*(-4)/h. Let t be 1/3 + d/(-3). Calculate the greatest common factor of t and 7. 7 Suppose 29*j - 484 = 7*j. What is the greatest common factor of j and 11? 11 Let d(v) = v**2 + 47 - 4*v + 32*v - 4*v. Let f be d(-23). Calculate the greatest common divisor of 192 and f. 24 Let f(v) = v**3 + 14*v**2 + 12*v - 7. Let m be f(-13). Suppose 12 = 10*w - m*w. What is the greatest common factor of w and 27? 3 Suppose -38*p - 78 = -40*p. What is the highest common factor of 91 and p? 13 Let u be -5 - (5 - (2 + 80)). Suppose -u = 30*x - 31*x. Calculate the greatest common factor of 8 and x. 8 Let f = -1233 + 1269. Calculate the greatest common factor of 192 and f. 12 Let c(s) = 2*s + 128. Let j be c(-42). Calculate the greatest common factor of 99 and j. 11 Let b be 4/14 - (-187)/7. Suppose 25 = 5*z - 5*p, 5*z - p - 5 - 12 = 0. What is the highest common factor of b and z? 3 Let q(c) = 14*c - 15. Let s be q(1). Suppose 2*t = 3*h + 435, 4*t - t - 655 = 2*h. Let m be t/((-3)/s) + 2. What is the highest common factor of m and 15? 15 Let z(g) = 4*g**2 - 1. Let m be z(-1). Suppose -2*q + 4 + m = v, q - v - 2 = 0. Let t be (q/(9/(-24)))/(-1). What is the greatest common divisor of t and 72? 8 Let j be (4/10)/((-2)/(-30)). Let p = j + 26. Let u be 1/((-2)/(-97 + 1)). What is the greatest common factor of p and u? 16 Suppose -3*w = 3*l - 9, 3*w + 1 = 2*l - 5. Suppose -33 = -2*p + l*r, 12 = -4*r - 0*r. Calculate the greatest common factor of 132 and p. 12 Let c = 161 - 137. What is the highest common divisor of c and 24? 24 Let u = 186 - 73. Suppose -u - 107 = -4*q. Let j be (-11)/((-2)/((-8)/(-2))). Calculate the greatest common factor of j and q. 11 Let b be ((-4)/(-6))/(2/3). Suppose 2 = 11*z - 9*z. Suppose 0 = -c - 3, 3*c - 1 = -n + z. Calculate the highest common divisor of n and b. 1 Let f(j) = 13*j - 133. Let k be f(11). Let y be (-2)/(-5)*(157 - 2). Let c = y - 42. What is the greatest common factor of c and k? 10 Let u(t) = -t**3 - 6*t**2 + 12*t + 33. Let h be u(-8). Calculate the greatest common factor of h and 13. 13 Let y(r) be the first derivative of r**3/3 + 3*r**2 - 16*r - 29. Let p be y(-11). Calculate the highest common divisor of p and 429. 39 Let l be 41 + (4 + -54)/10. Let s be 372/20 + 6/(-10). Let p be (s/(-8))/(5/(-40)). Calculate the greatest common divisor of p and l. 18 Let h be 10*2 + (-1 - 7) + 3. Calculate the greatest common divisor of 12 and h. 3 Let k = -9 - -19. Suppose -k = -f + 44. Let a(l) = l - 3. Let b be a(12). Calculate the highest common factor of b and f. 9 Let x(c) = -6*c**3 - c**2. Let q be x(-1). Suppose 0 = -q*s - 3*i + 115, s + 2*i + 30 = 3*s. Calculate the greatest common divisor of 100 and s. 20 Let u(s) = -5*s**3 + 2*s - 2. Let p be u(1). Let l be 1*(-66)/15*p. Let m be (-196)/(-9) + (-4)/(-18). What is the greatest common divisor of l and m? 22 Suppose -4*j - 4*p + 232 = -0*j, 0 = j + 2*p - 60. Let a = -92 + 93. Let i be ((-22)/(-2))/a - 3. What is the greatest common divisor of i and j? 8 Let r(d) = -4 - 4*d**2 + 0 - 1 - d**3 - 7*d + 1. Let s be r(-5). Let c(o) = o**2 + 14. Let n be c(0). What is the greatest common divisor of n and s? 14 Let x be (-79 + 3)*(-3 + 10/4). Let g = x - 23. What is the highest common divisor of g and 165? 15 Let a = 268 + -48. What is the greatest common divisor of a and 176? 44 Let q(r) = 8*r**2 + 38*r + 266. Let z be q(-19). What is the greatest common divisor of 19 and z? 19 Suppose 0 = 2*m + 3*m - 80. Let h be (-4)/m - (-42)/8. Suppose -141 + 36 = -h*a. Calculate the greatest common factor of 14 and a. 7 Suppose 0 = -4*q + 20, -2*r + 31 = -0*r + 5*q. Let h be 5 + -4 + r + 1. What is the greatest common factor of h and 55? 5 Let t(b) = b**2 + 17*b + 16. Let f be t(0). Suppose 0 = 2*m + 3*m - 240. What is the highest common divisor of m and f? 16 Let q(p) = -p**3 + 29*p**2 + 63*p + 9. Let i be q(31). Let u = 9 + 11. Calculate the highest common factor of i and u. 20 Let a = -36 - -75. What is the greatest common factor of a and 429? 39 Let z be (-142)/(-8) + (-2)/(-8). Let k be (45/25)/(-1 - (-6)/5). Suppose 0 = k*o + o - 540. Calculate the greatest common divisor of z and o. 18 Suppose -10 = -2*j - 2. Suppose 2*x + j*i = -i - 33, 0 = x + i + 9. Let u be 2/(-4*x/88). What is the greatest common divisor of 55 and
{ "pile_set_name": "DM Mathematics" }
- 2. Let l be ((-91)/(-42))/(-13) - 653/6. Let n = -107 - l. Does 16 divide x(n)? False Suppose -2*d = 5*l - 8, 0*d + d = 5*l + 4. Suppose l = -3*s - 69 + 798. Is s a multiple of 27? True Suppose -4*s = -4*t - 16392, -266*t = 4*s - 262*t - 16440. Does 4 divide s? True Suppose -10*z + 1287 = -7*z. Suppose 0 = 11*f - 4312 + z. Is f a multiple of 18? False Suppose -6028 = -9*d + 2900. Does 62 divide d? True Suppose -z + 5*t = -1492, 0 = -2*z - t - 981 + 3932. Is z even? False Suppose a = -d - 158 + 33, -5*a + 4*d = 616. Suppose -4*q + 3022 = 3802. Let o = a - q. Is 29 a factor of o? False Let d = -25138 - -25390. Is d a multiple of 126? True Suppose n - 12179 = -2*b, -6*b + 7*b - 6062 = 5*n. Does 8 divide b? False Is (11 - (-2115864)/60) + (-7)/5 a multiple of 297? False Let a(m) = m**2 + 14*m + 17. Let i(l) = -l**2 - 7*l - 8. Let r(n) = -3*a(n) - 5*i(n). Let z be r(5). Suppose 6 = 2*b, -z*x = 4*b + 82 - 254. Is 4 a factor of x? True Let y(p) = 32*p**2 + 5*p - 9. Let q be y(-6). Let j be (-2)/4 - q/14. Let g = 83 + j. Does 3 divide g? True Let q = -9 - -16. Let g(z) = z - 4. Let w be g(q). Suppose -4*k = 20, w*k + 351 = -a + 5*a. Does 14 divide a? True Let v(t) = -t**2 + 17*t - 32. Let h be v(14). Suppose 18*y - h*y = 864. Is y a multiple of 27? True Suppose 3485*s - 19216 = 3481*s. Does 111 divide s? False Suppose -g - 27*g + 1864720 = 37*g. Does 88 divide g? True Let q = -76 + 79. Suppose 181 = q*x - 5*h - 286, -139 = -x + 5*h. Is 8 a factor of x? False Suppose 5*r + 4*l - 21344 = -0*l, 2*r = -2*l + 8540. Is r a multiple of 46? False Let i be 2 + (-894)/(-9) + 4/(-3). Suppose -y - i = 3*y - 5*s, s + 16 = -y. Let d = y + 52. Is 11 a factor of d? False Suppose -1719*x - 8337 + 63807 = -1709*x. Is x a multiple of 9? False Suppose -5*n + 8*u - 7*u = -17, -3*u = -5*n + 21. Suppose 0 = -5*a - p + 244, 2*a - 10 - 85 = -n*p. Does 14 divide a? False Suppose 2*y + 19*k - 24*k = -13, 4*y + k = -81. Let w(p) = -p**2 - 14*p + 8*p - 25 - 16*p. Is 6 a factor of w(y)? False Let j = 3 - 13. Let x be 24/(-6) - j - (1 + 0). Does 11 divide 41 + (x - (-4 - -6))? True Suppose -9*g - 3*h = -38061, -11*g + 3*h + 16916 = -7*g. Is g a multiple of 31? False Suppose -3*a + 157 = -2*f, -a = -6*a + 25. Let w = 87 + f. Suppose -w*s = -474 - 70. Is s a multiple of 17? True Let q = 17443 + -6164. Does 9 divide q? False Let i(z) = -118*z - 841. Is i(-9) a multiple of 3? False Does 16 divide (1*(-3)/(-6))/((-55)/(-1280070))? False Suppose -142*d + x = -143*d + 5675, -d = -x - 5677. Is 66 a factor of d? True Let k be -1 - ((-30)/5 + 5). Suppose 2*o - 340 = -o - 5*b, -4*o + 4*b + 432 = k. Is o a multiple of 10? True Let l = -10162 + 11419. Does 17 divide l? False Suppose 2*u = -2*l + 13076, 8*l - 19590 = 5*l + 3*u. Is l a multiple of 5? False Suppose -95*d + 120963 = -34362. Is 11 a factor of d? False Suppose 0 = 14*j + 4*s - 7894, 5*j - 1180 = -s + 1641. Does 2 divide j? False Let p(g) = 3*g - 31. Let k be p(12). Suppose k*d - 440 = -2*j - 100, 4*d = -j + 275. Does 7 divide d? True Is 14 a factor of (1*-6)/(-7*(-51)/(-138397))? False Let q(c) = -6*c + 17 - 1 - 6 - 11*c. Let r be q(-2). Does 9 divide 5/4*(-11)/(r/(-272))? False Let s = -150 - -222. Let m = s - 10. Suppose -5*w + 6*w - m = 0. Does 10 divide w? False Let p = -1 - 1. Let r be 9080/45 + -4 + p/(-9). Let x = -113 + r. Is x a multiple of 13? False Let a(y) = -11*y**3 - 3*y - 4 + 14*y**3 + 2*y - 6 + y**2. Is a(3) a multiple of 7? True Let o = 247 + -244. Suppose 8232 = 5*u + o*u. Is u a multiple of 49? True Let p = -6990 + 7445. Is p a multiple of 18? False Let u = 261 + -228. Is (413/(-539) - 3/u)*-357 a multiple of 18? True Let t = 264 + -261. Let c be 1012/14 - 4/14. Suppose t*w = 7*w - c. Is 4 a factor of w? False Does 40 divide 128/6*73/(7/(-84)*-4)? False Let x(z) = z + 10. Let s be x(-8). Suppose 39 = -3*u - 3*r, s*r = 5*u + 44 + 42. Is 11 a factor of ((-11)/3)/(u/48)? True Suppose -l + 6*l - 4*o + 261 = 0, 0 = 5*o + 5. Suppose z - 3*j - 5 - 45 = 0, -5*z + 288 = 4*j. Let h = z + l. Is 3 a factor of h? True Let p be (-3932)/(-6) - 10/(-15). Suppose -u = 558 - p. Does 45 divide u? False Let o(y) = -27*y**3 + 147*y**2 - 5*y - 130. Is o(-12) a multiple of 38? True Suppose u + 16 = 2*i - 2*u, -u + 23 = 5*i. Suppose m + 5*j + 50 = 6*m, j = -i. Suppose 3*v = 5*t + 332, -m*v + 0*t + 2*t = -566. Is v a multiple of 17? False Let h = 1898 + 7519. Does 43 divide h? True Let z = -6933 - -15330. Is 27 a factor of z? True Let g(n) = 82 - 4*n + 24 + 4 - 14*n. Does 11 divide g(0)? True Suppose -2*s - 2*m + 68646 - 20450 = 0, -4*s + 96427 = -m. Does 17 divide s? False Suppose 11*v - 2219 - 6669 = 0. Is 56 a factor of v? False Let z(d) = -d**3 + 19*d**2 - 38*d + 74. Let g be z(17). Suppose 0 = g*k - 9*k - 5*j + 260, -3*j = -3*k + 228. Is k a multiple of 20? True Is 96 a factor of (-25650)/20*128/(-10)? True Let v be 45/10*((-2)/6 + 1). Suppose -v*f + 3243 = 4*p, 5*p = 6*p - f - 809. Is p a multiple of 10? True Let a = 143 + -227. Let r be ((-4)/(-5))/(8/(-1420)). Let g = a - r. Is g a multiple of 29? True Let p(l) = 811*l**2 + 16*l - 1. Suppose 4*k - 22 = 6*k. Let s(o) = -162*o**2 - 3*o. Let u(h) = k*s(h) - 2*p(h). Does 24 divide u(-1)? False Suppose -a - 90 = 5*t - 980, 2*a - 364 = -2*t. Let k = t - 47. Suppose -5*h = -5*g - 0*h + 325, h = -2*g + k. Is g a multiple of 13? True Let l = 14095 + -8469. Is l a multiple of 21? False Let i(c) = -c + 92. Let w(p) = 31. Let m(g) = -2*i(g) + 7*w(g). Let j be m(20). Suppose -j - 71 = -2*a. Is a a multiple of 8? True Let a = -9753 - -13119. Is a a multiple of 27? False Suppose 0 = -3*a + w + 65, -5*a - 4*w - w + 95 = 0. Let q(l) = l**2 - 19*l - 17. Let o be q(a). Suppose -68 = 24*j - o*j. Is 17 a factor of j? True Let f = 8002 - 6038. Is f a multiple of 7? False Does 3 divide ((-12)/30 - 8/(-10))/(6/5190)? False Suppose -v + 2 = -8*p + 6*p, -p = 4*v + 1. Suppose 2*u + 6 + v = 0, -2*u = n - 363. Is 25 a factor of n? False Suppose 3532 = 13*m - 2175. Suppose 88 = -3*p + m. Is 9 a factor of p? True Let r be (-15)/(-120) - (-3042)/(-16). Is 19 a factor of (-4)/((12/r)/6)? True Suppose 4*t - 525 = t. Suppose 9*q - t = 4*q. Suppose 6*z - q = 457. Is z a multiple of 41? True Let s be -373 + (30/((-36)/6) - -3). Let w = -7 - s. Is w a multiple of 16? True Let m(h) be the second derivative of -h**5/20 - h**4 - h**3/2 - 31*h. Does 18 divide m(-12)? True Let k be (-47)/(-5) - 48/(-80). Does 4 divide 166/((-5)/(k/(-4)))? False Let f(i) = 2557*i**2 - 59*i - 91. Is 71 a factor of f(-2)? False Suppose z = -4*d + 56034, -2*d = -31*z + 35*z - 28038. Does 228 divide d? False Let z(i) = -6*i + 38. Let g be z(7). Let k be (9/(-6))/((-3)/g). Does 14 divide 90 + -3 + (-4)/k + 1? False Let v(h) = -h**2 + 14*h - 9. Let m be v(5). Suppose 4*l = -o + m, -3*l + 3*o + o = -27. Suppose 4*y - 12 = 0, 0 = -4*x - 5*y + l*y + 132. Is 6 a factor of x? True Suppose -3*m + 3*i + 8 = 4*i, 4*m - 4*i = 16. Suppose -5*c + 276 = -m*v, -2*c - 4*v = -4*c + 116. Does 17 divide c? False Is 196 a factor of 2/15 + 118352780/3900? False Suppose 33465 + 1021796 = 141*y - 552139. Is y a multiple of 19? True Let n(p) = -91*p - 3. Suppose 2*z + 3*z - 3*m - 23 = 0, 3*m - 13 = -4*z. Suppose z*q - 2*q + 2 = 0. Is n(q) a multiple of 8? True Suppose 0 = 881*w - 871*w - 6800. Does 4 divide w? True Let k = 159 + -97. Suppose 27 = 3*s + 5*r, -3*s = -5*r - k + 5. Is s a multiple of 7? True Suppose 17*n - 13*n = 8. Let r(h) = -5*h**3 - 2*h**2 + 5*h - 3. Let t be r(n). Is (-6 - -5)*(t/1 - 1) a multiple of 15? False Let q be (-3 - (-20)/5)*3646. Does 19 divide (-8)/(-32) + q/8? True Suppose 3*g = -2*g + 1460. Let q = g + -193. Suppose -q = -3*h + 87. Does 29 divide h? False Let c(o) = 15*o**3 - 6*o**2 - 7*o + 26. Does 36 divide c(11)? True Let w(d) = d**2 + 526. Let r be w(0). Let f(s) = 3*s - 25. Let h be f(10). Suppose -r = -4*j - 2*p + 12, 0 = -h*j - 4*p + 677. Is 31 a factor of j? False Let b(y) = -21*y - 159. Let k be b(-5). Is 19 a factor of -1*(3 + 1)*(k + -3)? True Let w = 3839 - 1125. Is w a multiple of 92? False Let g(t) = -2*t**3 + 5*t**2 + 5*t + 37. Let u be g(8). Let v = u - -657. Is v a multiple of 27? False Suppose 0 = f - 5*v - 3637 - 1409, -f = v - 5082. Does 6 divide f? True Let x be 3927/(-28) - (0 - 1)/4. Let c = x + 234. Suppose
{ "pile_set_name": "DM Mathematics" }
est value in -1/3, 2, s? s Let u = 0.08 + 0.92. Which is the third smallest value? (a) u (b) -0.2 (c) -3 a Let t be (-2)/4 + (-1)/4. Let r = 0.07 + 5.93. Let k = -5 + r. What is the third biggest value in k, t, 0.1? t Let h = 10.3 + -10.39. What is the smallest value in 2/9, -0.1, -5, h? -5 Let f be (2 - (-8)/(-6))*1/(-2). Let x = 11/16 - 3/16. What is the second smallest value in 5, x, f? x Let i be ((-15)/182)/((-3)/(-44)). Let z = i + 12/13. Which is the biggest value? (a) -3 (b) z (c) 3 c Suppose 2*d + 6 - 10 = 0. Which is the third smallest value? (a) -5 (b) d (c) 9 c Let q = 4.9 - 5. Let m = q - -0.14. Let u = m + -0.24. What is the third smallest value in -3, u, 3? 3 Let v be 9/5*(-20)/(-6). Let s be (10/v)/(36/(-27)). Let q be (3/4)/(1/(-4)). What is the second smallest value in -0.4, s, q? s Let l = -3.3 + 2.9. Which is the fourth smallest value? (a) -3 (b) l (c) 2 (d) 2/5 c Let b = 9 + -17/2. Let f = -16 - -79/5. What is the second biggest value in 2/5, f, b? 2/5 Let m = -82.02 - -84. Let y = m + 0.02. Let c = -2.7 - -2.7. What is the second biggest value in y, c, 6? y Let o = -7/6 + 5/3. Which is the third biggest value? (a) 3/2 (b) o (c) -0.2 c Let z = 11 - 38/3. What is the second biggest value in 4, 3/2, z? 3/2 Let a = 5 + -3. Let f be (4/6)/(a/(-6)). Let z be f + 116/30 - 2. What is the third smallest value in 0.3, -2/11, z? 0.3 Let k = 2.95 + 0.05. Suppose -4 = -4*x - h + 5, 5*x = -2*h + 15. Let q = 1 + x. Which is the third smallest value? (a) -4 (b) q (c) k c Let c = 8.4 - 8. Suppose -g - g + 8 = 0. What is the biggest value in 0, g, c? g Let u = -47 - -46.7. Which is the second biggest value? (a) 1/4 (b) u (c) -0.06 c Let l = 69 - 209/3. Which is the second biggest value? (a) -1 (b) l (c) 3/8 b Suppose -w = 2*w - 12. Suppose -h - 27 = -3*u, 2*u + w*h = h + 7. What is the biggest value in u, -3, -0.2? u Let z be (-113)/(-6) - 5/15. Let p = 18 - z. Which is the biggest value? (a) -1/5 (b) p (c) 1 c Let h = 0.1 + -1.1. Let r(f) = 7*f + 8. Let i be r(0). What is the smallest value in h, i, -2? -2 Let l = 255/4 + -64. Which is the biggest value? (a) 1 (b) 0.5 (c) l a Let j = 14 - 11. Which is the smallest value? (a) j (b) 0.4 (c) 4/7 b Let d = -1.04 - -1. Let f = -4.04 - d. Let p = 7 + f. Which is the smallest value? (a) -1 (b) 1 (c) p a Let k = 132 - 136. Which is the second smallest value? (a) 3/7 (b) -0.3 (c) k b Suppose 380 + 400 = 5*k. Let l be (-262)/(-42)*(-7)/k. Let m = -3/52 - l. Which is the second smallest value? (a) 0 (b) m (c) -2 a Let v = -2.03 + 1.73. What is the third biggest value in -0.5, 23, v? -0.5 Let h = 14.2 - 6.1. Let g = h + -8. Which is the biggest value? (a) g (b) 4 (c) -2 b Let f = 0.17 - 0.17. What is the second biggest value in f, -0.3, 5? f Let h be 0 + 2*-1 - -12. Let z be (h/(-4))/(4/8). Which is the biggest value? (a) z (b) -2/5 (c) -2 b Let t = -13 - -9. Let k = -4.4 - t. Suppose -20*y + 16 + 44 = 0. What is the third smallest value in y, k, 2? y Let w(p) = p**3 + 4*p**2 - 5*p + 3. Let l be w(-5). Let u = -0.9 + 5.9. Which is the third smallest value? (a) l (b) u (c) -2 b Let f = -0.02 + 0.32. Let b = 74 - 371/5. What is the smallest value in -5, f, b? -5 Let i = 52 + -58. Which is the smallest value? (a) 0.1 (b) i (c) 0.3 b Let d = -113.76 - -117. Let x = -0.24 + d. What is the third biggest value in -0.01, 0.4, x? -0.01 Let l = -0.07 + 12.07. Let z = 14 - l. What is the second smallest value in -2/9, 0.2, z? 0.2 Let w = -19 + 17. Which is the third smallest value? (a) -1 (b) w (c) -4 a Let z = -48.5 - -48. What is the third smallest value in 0.01, z, -3/4, -4? z Suppose -8 - 2 = -2*d. Let n = -4 + d. Let h be -3 + (0 - (-2 + n)). Which is the second biggest value? (a) h (b) -2/5 (c) 5 b Let m = 25/92 + -1/46. Let i = 0.146 - 0.146. What is the biggest value in m, -1, i? m Let v(u) = 0*u**2 + 4*u**3 - u**3 - 4*u**3 - u**2 - u. Let p be v(0). Which is the second smallest value? (a) p (b) -4/7 (c) 2/15 a Let g = 0.81 - 0.11. Let m = 3.7 - g. Let j = -28.7 - -29. Which is the third biggest value? (a) -3 (b) j (c) m a Let q = -63 - -67. What is the third smallest value in q, -5, -4? q Let g = -0.4 + 0. Let u = -2/33 - 7/66. Which is the second biggest value? (a) 0 (b) u (c) g b Let c be 2/4 - 3/30. Let x = 5 + -7. Let j = 0.05 - 0.35. What is the second biggest value in x, c, j? j Let h = 0.08 + 1.42. Let z = -3 - -4. Let t = z - h. Which is the biggest value? (a) -0.2 (b) -1 (c) t a Let o = 2.6 + -6.2. Let k = o + 4. Let r = k + -0.1. Which is the third smallest value? (a) r (b) 1 (c) 0 b Suppose 3*m - 12 = 5*n, -5*m + 8*n + 10 = 3*n. Which is the smallest value? (a) -3 (b) 1/5 (c) m (d) -0.3 a Suppose -2 = 3*z + 5*t + 14, 2*t = z - 13. Let w = z - 6. Let f = 67/205 - -3/41. Which is the second smallest value? (a) w (b) 1/4 (c) f b Let x = -1/33 + -28/165. Suppose z - 5 = -3. Suppose -5*u + 2 = 4*s - 2*s, 0 = -5*s + z*u - 24. Which is the third smallest value? (a) x (b) s (c) -2 a Let w = -6 - -5. Let x be ((-12)/(-4) + w)/(-6). Let p = -437/3 + 144. Which is the smallest value? (a) p (b) x (c) -3/5 a Let i be 2/((-3)/(-2) - 2). Which is the smallest value? (a) 5 (b) i (c) 2 b Let w = 107/3 - 419/12. Let a = 36 + -39. What is the second smallest value in w, 0, a? 0 Let t = -0.4 - -0.4. Let q = t - 0.01. Let x = -0.31 - q. What is the second biggest value in 2, 3, x? 2 Let m be -4 + 152/20 + -4. What is the second biggest value in -0.2, m, 3? -0.2 Let x = 12 - 17. What is the second biggest value in 0.13, x, -2/9? -2/9 Let p = 17 + -15. Which is the third smallest value? (a) 0.3 (b) -2/11 (c) p c Let d(x) = -11*x**3 + 2*x - 2 - 4*x - 2*x**2 - 10*x**3. Let l be d(-2). Let t = 1460/9 - l. Which is the third smallest value? (a) 4/3 (b) -1/3 (c) t a Let d = 0.4 - 0. Let u = -23 + 28. What is the third biggest value in d, u, -5? -5 Let m = -5.7 - -6. Let w = 45 - 44.9. What is the third smallest value in m, w, -3? m Let k = -3 - -3.5. Suppose 0 = -2*u - 2*u - 8. What is the third smallest value in u, k, -0.1? k Let o = -13 - -13. What is the third biggest value in -2, 4, o? -2 Let x = -2.9 + 3. Let h = x - 0.5. Let z = 8/21 - 5/21. What is the second biggest value in 1/10, z, h? 1/10 Let g be (-3)/(-1) + 3*1/(-2). Which is the fourth biggest value? (a) 5 (b) 0.3 (c) -3/8 (d) g c Let o = 1.03 + -1. Let s = 0.43 - o. Let t = 20 - 19.9. Which is the biggest value? (a) -0.2 (b) t (c) s c Suppose 47 = -7*j - 16. Which is the biggest value? (a) -2/5 (b) -5 (c) j a Let d be 2/(-6) - 24/9. Suppose 2*r = 3*o + 11, -4 = 2*o + 3*r - 1. Let l = -4 - o. Which is the third smallest value? (a) 1 (b) l (c) d a Let w = 0.42 + -0.01. Let o = w + -0.01. Let f = 0.4 - -4.6. Which is the smallest value? (a) f (b) 1 (c) o c Let w = 4/19 - -7/57. Let c be -2 + 1 + 3/6. Let p = 6 + -11. What is the third smallest value in p, w, c? w Let u be ((-10)/(-4))/(5/(-10)). What is the third biggest value in 2/17, -1, u? u Let h = 674 - 672. Let i be 4/10*(1 + 0). Which is the second biggest value? (a) h (b) -0.3 (c) i c Suppose b = -b + 50. Suppose 2*z - 3*z + 1 = h, -5*h + z = b. What is the biggest value in -0.4, -2, h? -0.4 Let u be (-4)/38*(-2 + 3). Let g = 29/6 + -191/42. Let x = 68/15 - 21/5. Which is the third biggest value? (a) u (b) x (c) g a Let k be (2/9)/(16/(-6)). Let x = 34 - 36. Let s = 2.5 + -2. What is the biggest value in k, s, x? s Let p = -0.3 - 0. What is the third biggest value in -2/15, 5, p? p Let q be 38/12 + 4/(-6). Let o = 0 + -3. Let n = -4 - o. Which is the second smallest value? (a) -0.2 (b) n (c) q a Let p = -1.6 - -0.6. Which is the third smallest value? (a) 2/9 (b) 0.3 (c) p b Let j = 0.031 + -4.431. Let y = j - -0.4. Let d = y - -3.6. What is the biggest value in -3, d, -1? d Let i be 1/(9/(-30)) + 3. What is the second smallest value in 2, 3, 5/3, i? 5/3 Suppose w + 0 = 1. Let f = -8.2 + 7.7. What is the biggest value in w, f, -3? w Let i = 0.2 - 0.7. Let g = -291 - -291. Which is the second biggest value? (a) g (b) i (c) 3 a Let x be (-2 - -2) + -1 - (-15)/25. Which is the second smallest value? (a) 5 (b) 1.5 (c) x b Let q be (21/(-9) - -3)/((-8)/12). Let p = -3 +
{ "pile_set_name": "DM Mathematics" }
e 10) to base 9. -48754 Convert d939e (base 15) to base 4. 2220102230 Convert -2c98b3 (base 13) to base 10. -1106589 What is -98165 (base 11) in base 16? -22d11 -3978c (base 14) to base 9 -235015 66831e (base 16) to base 9 13568618 -1164564 (base 7) to base 12 -73139 360810 (base 10) to base 15 71d90 Convert -112132320 (base 4) to base 15. -1c443 What is -4204333 (base 8) in base 14? -210bb5 Convert 16156543 (base 8) to base 11. 2115a11 -100102011000120 (base 3) to base 15 -68c2e3 -30313130 (base 4) to base 6 -1043552 What is -7504276 (base 9) in base 6? -222044023 What is -116401534 (base 7) in base 10? -7362079 -1c264 (base 16) to base 5 -12142200 What is -94018 (base 12) in base 16? -2f414 -1110210220 (base 3) to base 15 -88ec What is 240131023 (base 5) in base 8? 4142210 45542201 (base 6) to base 8 5251531 -4010424 (base 5) to base 4 -33130013 -1667462 (base 8) to base 9 -822303 What is -330201313003 (base 4) in base 6? -1324031511 Convert -4024304334 (base 5) to base 13. -1887124 What is -163162 (base 8) in base 5? -3341434 1000100011010011011 (base 2) to base 15 58064 Convert 1200220030 (base 4) to base 6. 12252204 What is 221031032 (base 4) in base 14? 4571c What is 2220212111 (base 4) in base 8? 2504625 What is 165b6 (base 15) in base 16? 119eb What is 101010110001011010100 (base 2) in base 13? 3a0c30 What is 1137467 (base 11) in base 12? 7b9661 Convert 770371 (base 10) to base 9. 1403667 Convert -102203231 (base 5) to base 6. -13104034 What is -22b61 (base 12) in base 2? -1011010111111001 What is -13233013113 (base 4) in base 14? -3ab0c7 What is -de4c4d (base 15) in base 12? -367056a 210000221220 (base 3) to base 13 1165c5 6a5435 (base 12) to base 15 23b83e 12113001033 (base 4) to base 16 19704f What is 601224 (base 7) in base 16? 18bb5 Convert 11101011101111 (base 2) to base 5. 440322 155a002 (base 12) to base 9 8161532 What is -1b8a2 (base 16) in base 13? -3c461 What is 12012110002 (base 3) in base 10? 102386 What is -1402b (base 13) in base 15? -b126 What is -10512305 (base 7) in base 12? -37b115 100001010000010110 (base 2) to base 8 412026 What is -3c5e5 (base 16) in base 12? -bb119 What is 132322203 (base 4) in base 13? 45837 -15b247 (base 12) to base 6 -11545331 -261ba1 (base 12) to base 5 -130004023 What is 10302323 (base 4) in base 15? 5c48 What is -371417 (base 10) in base 2? -1011010101011011001 3d748 (base 16) to base 6 5221212 What is 61a59 (base 13) in base 2? 101010110011011111 -4c0ec (base 15) to base 10 -243222 What is 1c8193 (base 16) in base 9? 3456584 324361 (base 9) to base 7 1434043 -107c924 (base 13) to base 11 -29426a8 Convert 11445251 (base 6) to base 2. 1011000111000011111 Convert -1531312 (base 6) to base 8. -257234 Convert 244222331 (base 5) to base 4. 10130030323 -21776537 (base 9) to base 16 -a127b6 -243ad (base 16) to base 3 -21112120012 What is -6a1c23 (base 14) in base 13? -997ca8 What is -90181 (base 13) in base 15? -5139d What is -12322330 (base 5) in base 2? -11101011000010100 Convert 1000223 (base 9) to base 8. 2016250 -1111332102 (base 4) to base 14 -92494 What is -110010110110111110111011 (base 2) in base 10? -13332411 Convert -522657 (base 10) to base 16. -7f9a1 What is 212002 (base 3) in base 13? 38c What is 58047 (base 9) in base 2? 1001011100011000 -170b51 (base 12) to base 8 -1404555 What is 2315335 (base 6) in base 5? 12303042 Convert -41f59 (base 16) to base 3. -111201121021 Convert -44970 (base 12) to base 3. -11122011010 -103379 (base 10) to base 8 -311723 Convert -59a41 (base 13) to base 15. -33a4b -1564272 (base 13) to base 5 -3224120414 Convert -44aa1 (base 14) to base 6. -3323541 Convert -da63 (base 14) to base 12. -199b3 167176 (base 8) to base 10 61054 Convert 15a3 (base 15) to base 9. 6340 What is -56632224 (base 7) in base 15? -676706 -2022210101122 (base 3) to base 11 -774644 What is -25122343 (base 7) in base 5? -1034222204 -507401 (base 9) to base 13 -a6b19 -14401067 (base 8) to base 9 -6144628 What is 230002221 (base 4) in base 14? 49a53 Convert c47f (base 16) to base 3. 2120000002 What is 625234 (base 8) in base 14? 558a8 Convert -506732 (base 9) to base 11. -195613 Convert 65b4 (base 15) to base 2. 101010000101000 -1616156 (base 7) to base 16 -36740 Convert 2200733 (base 12) to base 4. 120223300113 What is -1011001011101101110010 (base 2) in base 4? -23023231302 What is 32331432 (base 5) in base 15? 57197 -424343 (base 7) to base 13 -27650 What is -17c00 (base 14) in base 15? -12b86 2022200323 (base 4) to base 8 2124073 What is -1101010011110011100 (base 2) in base 8? -1523634 Convert -110051535 (base 6) to base 10. -1966451 Convert 11001010222110 (base 3) to base 8. 10143774 What is -2030252 (base 8) in base 13? -15a402 What is -10111111111001011000111 (base 2) in base 14? -b997dd What is 11013203244 (base 5) in base 15? 109139e 1110001100110000110 (base 2) to base 15 92ce1 Convert 101010110111011010011 (base 2) to base 13. 3a2453 Convert 2300 (base 8) to base 14. 62c 230244 (base 7) to base 14 10ccb What is -10d30d0 (base 14) in base 4? -132222033232 What is -124034430 (base 6) in base 2? -1001010001100000110010 Convert 440224 (base 7) to base 10. 76948 461407 (base 9) to base 8 1034216 What is -35203141 (base 6) in base 16? -109f45 What is -12dab6 (base 15) in base 4? -3131122221 What is -11221113 (base 4) in base 15? -6cbc 121122232 (base 4) to base 3 12021210221 -2a76a (base 14) to base 10 -105738 What is 324056 (base 13) in base 11? 7364a0 Convert -1956a (base 16) to base 3. -12021100221 What is 10002101221100 (base 3) in base 4? 12100302333 171088 (base 12) to base 3 202002221212 Convert 1451105 (base 7) to base 13. 6ba44 What is -10120121220 (base 3) in base 2? -10001001100101000 2001231320 (base 4) to base 11 333209 What is 4451511 (base 6) in base 4? 312311203 Convert -21103210 (base 4) to base 9. -57251 Convert -127124 (base 8) to base 3. -2021012220 What is -a4b46 (base 13) in base 11? -192698 What is 322012200 (base 4) in base 5? 30103414 2131020 (base 6) to base 4 121223310 What is -147184 (base 9) in base 13? -322a8 Convert -1011011110100100100 (base 2) to base 8. -1336444 What is 3647171 (base 8) in base 7? 11345401 Convert 10000012022 (base 3) to base 6. 1134012 What is 12330320030 (base 4) in base 14? 356108 10207474 (base 8) to base 4 20100330330 -25496b (base 13) to base 11 -562024 What is -11010201120 (base 3) in base 16? -13e27 -307421 (base 9) to base 6 -3525201 94204 (base 10) to base 13 33b56 What is 2442020 (base 6) in base 3? 20121101110 What is -5a860a2 (base 11) in base 9? -21835541 Convert -166b8 (base 13) to base 16. -a79c Convert 1003011221 (base 4) to base 10. 274793 3222210310 (base 4) to base 9 1723887 -13674223 (base 8) to base 16 -2f7893 Convert -14105 (base 16) to base 4. -110010011 Convert b03127 (base 13) to base 11. 2344706 Convert -85392 (base 12) to base 6. -3430302 -513505 (base 6) to base 5 -2303014 What is 5204131 (base 6) in base 5? 30443001 138244a (base 13) to base 4 113203121210 What is -266075 (base 8) in base 5? -10440440 What is 1c72e2 (base 15) in base 2? 101010011101000111010 Convert -31131020231 (base 4) to base 13. -966611 What is 3221104 (base 6) in base 7? 1226500 -144011234 (base 5) to base 10 -766444 -3517053 (base 10) to base 5 -1400021203 238046b (base 12) to base 5 3230310021 Convert 121109b (base 12) to base 2. 1101011000000000110111 What is 2100002011100 (base 3) in base 9? 2302140 -1031131232 (base 4) to base 8 -1153556 Convert -1784b94 (base 12) to base 7. -56445301 -3a2918 (base 11) to base 5 -130231313 What is 3781c9 (base 14) in base 8? 7210105 What is -418f2 (base 16) in base 3? -111122100120 -200111100102000 (base 3) to base 4 -211133211003 Convert -11122011222022 (base 3) to base 7. -26641451 What is 4b6a2 (base 15) in base 2? 111010110111100111 Convert -59956 (base 12) to base 10. -120594 35056114 (base 7) to base 3 12210010100201 Convert 22000001110 (base 3) to base 13. 568c8 Convert 10304245 (base 6) to base 3. 120110022202 What is 8072c (base 15) in base 6? 12414253 -94400 (base 14) to base 9 -604356 Convert -523211 (base 7) to base 16. -15f74 What is -36e2ae (base 16) in base 7? -42400543 Convert -23c85 (base 14) to base 2. -10101010111101101 Convert -29035 (base 14) to base 5. -11222300 1101
{ "pile_set_name": "DM Mathematics" }
+ 12/17 = 0. What is h? -3, -1, 2/7, 1 Factor -2*z**2/3 - 794*z/3 + 796/3. -2*(z - 1)*(z + 398)/3 Determine g, given that -5*g**5 + 35*g**4 + 40*g**3 = 0. -1, 0, 8 Factor -4*u**2 - 220*u - 2184. -4*(u + 13)*(u + 42) Factor -2*a**2/7 - 16*a/7 - 2. -2*(a + 1)*(a + 7)/7 Suppose -b**4/4 + b**3 + 3*b**2/4 - 9*b/2 = 0. What is b? -2, 0, 3 Solve j**2/2 + 765*j/2 = 0 for j. -765, 0 Factor 2*z**3/7 - 2*z**2/7 - 32*z/7 + 32/7. 2*(z - 4)*(z - 1)*(z + 4)/7 Let -20*b**5 + 235*b**4/3 - 295*b**3/3 + 140*b**2/3 - 20*b/3 = 0. Calculate b. 0, 1/4, 2/3, 1, 2 Determine a so that -3*a**2/5 - 153*a/5 - 432/5 = 0. -48, -3 What is h in 4*h**5 + 568*h**4 + 29668*h**3 + 667360*h**2 + 5190400*h - 5888000 = 0? -40, -23, 1 Find k, given that -k**3/3 + 67*k**2/3 - 1216*k/3 + 1024 = 0. 3, 32 Determine r so that 3*r**4 - 309*r**2 + 594*r = 0. -11, 0, 2, 9 Factor -4*i**4 - 12*i**3 + 4*i**2 + 12*i. -4*i*(i - 1)*(i + 1)*(i + 3) Solve x**2/6 + 331*x/6 + 55 = 0. -330, -1 Let -g**5 - 34*g**4 - 177*g**3 - 252*g**2 = 0. Calculate g. -28, -3, 0 Factor -5*p**4 + 78*p**3 - 193*p**2 - 900*p - 324. -(p - 9)**2*(p + 2)*(5*p + 2) Factor -3*a**4 - 1758*a**3 - 257547*a**2. -3*a**2*(a + 293)**2 Factor 2*h**2/3 - 508*h/3 + 336. 2*(h - 252)*(h - 2)/3 Factor 7*m**5 - 2*m**4 - 189*m**3 - 324*m**2 + 108*m. m*(m - 6)*(m + 3)**2*(7*m - 2) Suppose 3*b**5 - 63*b**4 - 519*b**3 + 819*b**2 + 2028*b - 2268 = 0. What is b? -7, -2, 1, 2, 27 Factor -2*y**2 + 516*y - 33282. -2*(y - 129)**2 Factor 3*q**5 + 9*q**4 - 42*q**3 - 36*q**2 + 120*q. 3*q*(q - 2)**2*(q + 2)*(q + 5) Factor 2*g**3/19 - 24*g**2/19 - 32*g/19 + 384/19. 2*(g - 12)*(g - 4)*(g + 4)/19 Factor 4*m**3 - 4*m**2. 4*m**2*(m - 1) Factor -3*j**4 - 396*j**3 - 11799*j**2 + 85698*j. -3*j*(j - 6)*(j + 69)**2 Find l such that -2*l**4/11 - 4*l**3/11 + 16*l**2/11 + 36*l/11 + 18/11 = 0. -3, -1, 3 Factor 288*w**2 + 12*w - 28. 4*(3*w + 1)*(24*w - 7) Factor -u**3/4 - 83*u**2 - 27221*u/4 + 27889/2. -(u - 2)*(u + 167)**2/4 Factor 2*c**3/7 - 26*c**2/7 - 76*c/7 + 240/7. 2*(c - 15)*(c - 2)*(c + 4)/7 What is r in 44*r**2/3 - 224*r/3 + 20/3 = 0? 1/11, 5 Find o such that -15*o**4/4 + 565*o**3/4 + 4015*o**2/4 + 7215*o/4 + 495 = 0. -3, -1/3, 44 Factor h**2 + 24*h + 128. (h + 8)*(h + 16) Determine m, given that m**2/10 - 42*m/5 - 86/5 = 0. -2, 86 Factor -j**5 + 9*j**3 + 4*j**2 - 12*j. -j*(j - 3)*(j - 1)*(j + 2)**2 Suppose b**3/6 + 49*b**2/6 = 0. Calculate b. -49, 0 Determine b, given that 3*b**5 + 54*b**4 + 339*b**3 + 912*b**2 + 1008*b + 384 = 0. -8, -4, -1 Factor -4*v**4 + 4*v**3 + 208*v**2 + 656*v + 576. -4*(v - 9)*(v + 2)**2*(v + 4) Factor -j**5/4 - 5*j**4/2 - 37*j**3/4 - 15*j**2 - 9*j. -j*(j + 2)**2*(j + 3)**2/4 Factor -3*n**3/4 + 33*n**2 + 3*n/4 - 33. -3*(n - 44)*(n - 1)*(n + 1)/4 Solve 1420*q**3 - 315*q**2 - 10*q = 0 for q. -2/71, 0, 1/4 Determine l so that l**5/6 - 21*l**4/2 - 67*l**3/6 + 187*l**2/6 + 53*l + 64/3 = 0. -1, 2, 64 Factor -3*d**2 - 81*d - 378. -3*(d + 6)*(d + 21) Factor -2*r**2/9 + 104*r/9 - 184/3. -2*(r - 46)*(r - 6)/9 Determine i, given that -2*i**3/9 + 44*i**2/9 + 30*i = 0. -5, 0, 27 What is g in -3*g**4/4 + 27*g**3/4 + 27*g**2/2 - 51*g - 90 = 0? -2, 3, 10 Solve -2*i**4/9 + 8*i**3/9 + 10*i**2/9 = 0 for i. -1, 0, 5 Factor -125*z**2 - 15385*z - 1230. -5*(z + 123)*(25*z + 2) Determine y so that -2*y**4/5 + 8*y**3/5 + 4*y**2/5 - 24*y/5 - 18/5 = 0. -1, 3 Solve 9*l**5 + 1122*l**4 - 1509*l**3 + 378*l**2 = 0 for l. -126, 0, 1/3, 1 Find k, given that -k**3/2 + 13*k**2/3 + 13*k/2 + 5/3 = 0. -1, -1/3, 10 Solve v**4 + 6*v**3 + 8*v**2 = 0. -4, -2, 0 Find c such that -c**4/3 - 120*c**3 - 2486*c**2/3 - 1768*c - 1059 = 0. -353, -3, -1 Factor -14*o**3/9 + 1292*o**2/9 - 368*o/9. -2*o*(o - 92)*(7*o - 2)/9 Factor -n**4/4 - 5*n**3/2 + 1367*n**2/4 + 1740*n - 121104. -(n - 24)**2*(n + 29)**2/4 Find y, given that 12*y**2 - 11*y/3 = 0. 0, 11/36 Find f, given that -3*f**3/5 - 1011*f**2/5 + 2031*f/5 - 1017/5 = 0. -339, 1 Factor -2*q**2/11 - 4*q - 170/11. -2*(q + 5)*(q + 17)/11 Find n, given that n**4 + 14*n**3/3 - 11*n**2/3 - 70*n/3 + 8 = 0. -4, -3, 1/3, 2 Factor 2*n**3/7 + 34*n**2/7 - 208*n/7 + 264/7. 2*(n - 3)*(n - 2)*(n + 22)/7 Factor -4*d**4 + 4*d**3. -4*d**3*(d - 1) Determine z, given that -2*z**3/7 - 12*z**2/7 + 38*z/7 + 48/7 = 0. -8, -1, 3 Factor -g**3 - 1149*g**2 - 440067*g - 56181887. -(g + 383)**3 Factor 2*n**4 - 4*n**3 - 40*n**2 - 48*n. 2*n*(n - 6)*(n + 2)**2 Factor 4*i**2 - 120*i - 700. 4*(i - 35)*(i + 5) Factor 5*t**4 + 70*t**3 + 65*t**2. 5*t**2*(t + 1)*(t + 13) Factor 4*y**3 + 120*y**2 + 1052*y + 2184. 4*(y + 3)*(y + 13)*(y + 14) Factor d**4/6 + 10*d**3/3 + 37*d**2/6 + 3*d. d*(d + 1)**2*(d + 18)/6 Let 2*x**2 + 116*x + 1664 = 0. Calculate x. -32, -26 Let -16*a**5/3 - 12*a**4 + 152*a**3 - 556*a**2/3 - 56*a = 0. What is a? -7, -1/4, 0, 2, 3 What is u in 2*u**4/15 + 26*u**3/15 + 92*u**2/15 + 32*u/5 = 0? -8, -3, -2, 0 Let -4*p**4 + 128*p**3 + 588*p**2 - 360*p - 2592 = 0. What is p? -3, 2, 36 Let 65*a**2/6 + 67*a/6 + 1/3 = 0. What is a? -1, -2/65 Find d, given that -20*d**4/7 + 163*d**3/7 + 356*d**2/7 + 143*d/7 - 30/7 = 0. -1, 3/20, 10 Factor -6*r**3 + 10*r**2 + 8*r - 8. -2*(r - 2)*(r + 1)*(3*r - 2) Factor -4*h**3 + 240*h**2 - 2748*h - 2992. -4*(h - 44)*(h - 17)*(h + 1) Let -35*p**4/3 - 605*p**3/3 - 570*p**2 - 1420*p/3 - 280/3 = 0. What is p? -14, -2, -1, -2/7 What is l in 114*l**3 - 117*l**2 + 3*l = 0? 0, 1/38, 1 Factor 2*d**4/5 - 28*d**3/5 + 64*d**2/5 + 256*d/5. 2*d*(d - 8)**2*(d + 2)/5 Suppose -j**2/4 - 149*j/2 = 0. What is j? -298, 0 Factor -4*k**3/5 + 2232*k**2/5 - 322224*k/5 + 600608. -4*(k - 274)**2*(k - 10)/5 Factor -c**4/3 + c**2 - 2*c/3. -c*(c - 1)**2*(c + 2)/3 Solve -5*t**2 + 43460*t - 94438580 = 0. 4346 Factor 2*x**4 - 38*x**3 - 752*x**2 - 2488*x - 2304. 2*(x - 32)*(x + 2)**2*(x + 9) Find p such that -p**4/11 + 6*p**3/11 - 3*p**2/11 - 10*p/11 = 0. -1, 0, 2, 5 Factor 4*k**5 - 84*k**4 + 80*k**3 + 8000*k**2 - 48000*k + 40000. 4*(k - 10)**3*(k - 1)*(k + 10) Factor -12*t**5 + 14*t**4 + 8*t**3 - 10*t**2. -2*t**2*(t - 1)**2*(6*t + 5) Determine q, given that 2*q**3/17 + 264*q**2/17 + 2952*q/17 + 8640/17 = 0. -120, -6 Find f, given that f**2/6 + 104*f/3 + 136 = 0. -204, -4 Suppose 2*k**3/9 - 112*k**2/9 + 422*k/9 - 104/3 = 0. What is k? 1, 3, 52 Factor -2*y**3/13 + 524*y**2/13. -2*y**2*(y - 262)/13 Let 324*g**4 - 2160*g**3 + 4968*g**2 - 4368*g + 980 = 0. What is g? 1/3, 5/3, 7/3 Find k such that -2*k**2 - 6*k + 56 = 0. -7, 4 Let 7*q**3 + 201*q**2 - 268*q + 60 = 0. Calculate q. -30, 2/7, 1 Let 3*y**2 - 3261*y - 3264 = 0. What is y? -1, 1088 Factor -r**3/5 - 6*r**2/5 + 187*r/5 + 156. -(r - 13)*(r + 4)*(r + 15)/5 Suppose n**4/4 - 115*n**3/2 + 12993*n**2/4 + 6670*n + 3364 = 0. What is n? -1, 116 Determine x, given that -2*x**4/3 - 74*x**3/3 - 140*x**2/3 = 0. -35, -2, 0 Suppose g**4/10 + 7*g**3/5 + 36*g**2/5 + 81*g/5 + 27/2 = 0. Calculate g. -5, -3 Let -2*a**4 - 2*a**3 + 26*a**2 + 2*a - 24 = 0. What is a? -4, -1, 1, 3 Solve -2*d**4/3 + 10*d**3 - 28*d**2/3 = 0 for d. 0, 1, 14 Determine q, given that 4*q**2 - 744*q - 3820 = 0. -5, 191 Determine v so that -v**5/2 + 95*v**4/4 - 47*v**3/4 = 0. 0, 1/2, 47 Solve -2*q**2/17 - 62*q/17 + 64/17 = 0 for q. -32, 1 Factor 2*f**5/3 + 2*f**4/3 - 4*f**3 + 4*f**2/3 + 10*f/3 - 2. 2*(f - 1)**3*(f + 1)*(f + 3)/3 Factor 5*v**3/4 - 45*v**2. 5*v**2*(v - 36)/4 Solve -5*r**3 + 505*r**2 + 5*r - 505 = 0. -1, 1, 101 Factor -4*f**5/3 - 40*f**4/3 - 148*f**3/3 - 80*f**2 - 48*f. -4*f*(f + 2)**2*(f + 3)**2/3 Factor x**2/4 - 113*x. x*(x - 452)/4 Determine x, given that x**2 + 32*x + 256 = 0. -16 Determine f so that 2*f**3 - 22*f**2 + 38*f - 18 = 0. 1, 9 Factor 17*j**2/6 - 50*j/3 - 2. (j - 6)*(17*j + 2)/6 Find g, given that g**2 + 12*g + 11 = 0. -11, -1 Solve 2*y**2/17 + 652*y/17 + 53138/17 = 0. -163 Suppose -3*v**5 + 216*v**4 + 1686*v**3 - 2112*v**2 - 1683*v + 1896 = 0. Calculate v. -8, -1, 1, 79 Let p**4/3 - 5*p**3/3 - 10*p**2 + 40*p/3 + 64/3 = 0. Calculate p. -4, -1, 2, 8 Find b such that -567*b**4/5 - 1059*b**3/5 + 229*b**2/5 + 31*b - 6/5 = 0. -2, -1/3, 1/27, 3/7 Factor -3*n**2/2 - 75*n/2. -3*n*(n + 25)/2 Factor -2*a**2/7 + 6*a/7 - 4/7. -2*(a - 2)*(a - 1)/7 Factor 2*u**2/7 - 16*u + 318/7. 2*(u - 53)*(u - 3)/7 Suppose -c**2 - 2032*c - 1032256 = 0. What is c? -1016 Factor 225*j**3/4 + 145*j**2/4 - 21*j - 1. (j + 1)*(5*j - 2)*(45*j + 2)/4 Factor 5*r**
{ "pile_set_name": "DM Mathematics" }
*n(b). What is the third derivative of z(q) wrt q? 696*q Let n(z) = z**3 + 4*z**2 - 8*z + 2. Let u be n(-5). What is the first derivative of 425 - r - 448 + r - u*r**3 wrt r? -51*r**2 Let a(g) be the third derivative of g**9/252 - g**8/48 - g**5/30 - g**3/3 + 74*g**2. What is the third derivative of a(h) wrt h? 240*h**3 - 420*h**2 Suppose -2*h - 8 = -2*n, 2*n + 2*h - 20 = h. Let z be n/(-28) - (-44)/7. What is the third derivative of -u**4 + 6*u**2 - 11*u**z + u**4 + 5*u**6 wrt u? -720*u**3 Let z(l) = -8 + 9 - 2*l + 3*l + l**2. Let s(n) = -17*n**3 + 3*n**2 + 6*n + 6. Let y(d) = -s(d) + 6*z(d). What is the third derivative of y(r) wrt r? 102 Let h = -92 - -94. What is the first derivative of 54*y**2 - 29*y**2 + 23 + 4 - 36*y**h wrt y? -22*y Let v(p) = -205*p**3 - 636*p**2 + 4*p - 4. Let y(k) = k**3 + 2*k**2 + k - 1. Let j(l) = v(l) - 4*y(l). Find the third derivative of j(r) wrt r. -1254 Let d = -35 - -21. Let k = d + 16. What is the third derivative of 2*v + 0*v - k*v + 11*v**2 + 12*v**4 wrt v? 288*v Let d be (18/27)/((-4)/(-3)). Let i(m) be the first derivative of -3 - 5*m + d*m**2. Differentiate i(a) wrt a. 1 Let h(y) be the second derivative of -191*y**7/42 - 53*y**4/12 - 26*y. Find the third derivative of h(u) wrt u. -11460*u**2 Find the second derivative of -871*d**5 + 898*d**5 + 34 - 2*d**2 - 2*d + 2*d**2 wrt d. 540*d**3 Suppose 0 = -4*d + 4*a + 5 + 23, 5*a + 26 = 2*d. Find the third derivative of -12*o**d + 9*o**2 + o**2 - 25*o**2 wrt o. -72 Let y(b) be the second derivative of 0*b**5 + 0*b**6 + 0*b**2 + 27*b + 0*b**4 - 17/21*b**7 - 16/3*b**3 + 0. What is the second derivative of y(m) wrt m? -680*m**3 Let m(o) be the third derivative of -7*o**6/120 + o**4/4 - 7*o**3/3 - o**2 + 235. What is the first derivative of m(f) wrt f? -21*f**2 + 6 Let l(f) = -206*f**2 - 100*f - 12. Let w(i) = 2*i**2 - i - 2. Let y(s) = l(s) - 6*w(s). Find the second derivative of y(n) wrt n. -436 Let r(d) = -4*d + 7*d - d - 3*d**2. Let k(p) = -6*p**2 + 4*p. Let c(a) = -6*k(a) + 10*r(a). Find the second derivative of c(t) wrt t. 12 Let n(k) = 118*k**3 + 3*k**2 - 3*k. Let d(s) = -2*s**3 - s**2 + s. Let g(l) = 2*d(l) + n(l). Find the third derivative of g(q) wrt q. 684 Let w(r) = 174*r**2 - 19*r - 49. Let k(l) = -116*l**2 + 13*l + 33. Let b(s) = 7*k(s) + 5*w(s). Find the second derivative of b(o) wrt o. 116 Let f be -2*(1/(-2) + -1). Find the second derivative of -2*o**3 + 9*o**f - o - 2*o + 0*o wrt o. 42*o Find the first derivative of 361*k + 20 - 367*k - 53 wrt k. -6 Differentiate -30*z - 25*z + 43*z + 27 with respect to z. -12 Let t(x) = 182*x**3 - 9*x**2 - 6*x - 815. Let r(d) = 92*d**3 - 5*d**2 - 3*d - 407. Let f(n) = -9*r(n) + 5*t(n). Differentiate f(i) with respect to i. 246*i**2 - 3 Let w(s) be the third derivative of -5*s**8/42 + s**5/60 - 23*s**4/8 + 10*s**2 - s. Find the second derivative of w(t) wrt t. -800*t**3 + 2 Let g(m) be the first derivative of -m**3/3 - 3*m**2/2 + 7*m - 7. Let n be g(-3). Differentiate 11 + n*z**3 + 1 - 5 wrt z. 21*z**2 Let q(x) = 54*x**4 + 20*x**2 + 11. Let k(b) = -4*b**2 - 11*b**4 - 29 + 10 + 17. Let y(l) = -11*k(l) - 2*q(l). What is the third derivative of y(z) wrt z? 312*z Let j(o) = -2*o. Let m = 2 + -3. Let k(a) = -46 - 36 + 81. Let x(l) = m*j(l) - 2*k(l). Differentiate x(w) with respect to w. 2 Let f(t) be the second derivative of -t**7/42 + 8*t**3/3 - 13*t**2/2 - 17*t. Let m(k) be the first derivative of f(k). Differentiate m(v) wrt v. -20*v**3 Let i = 10 - 18. Let r = i + 15. Find the second derivative of t**2 - r*t**2 + 10*t**2 - 4*t wrt t. 8 Let b(y) be the third derivative of 0*y + 0*y**6 + 0*y**3 - 2*y**2 + 0 - 5/24*y**4 + 0*y**5 - 2/35*y**7. Find the second derivative of b(t) wrt t. -144*t**2 Let c(l) be the first derivative of l**5/30 - 7*l**4/24 - 4*l**3 - 6. Let y(p) be the third derivative of c(p). What is the derivative of y(f) wrt f? 4 Let q(o) be the first derivative of 55*o**4/12 + o**3/3 - 24*o**2 + o - 39. Let v(i) be the first derivative of q(i). Find the second derivative of v(p) wrt p. 110 Find the third derivative of -9732*u + 148*u**4 - 134*u**2 + 9732*u wrt u. 3552*u Differentiate -200 - 114*l - 201 + 413 wrt l. -114 Let t = 88 + -76. Find the first derivative of 12*u + 21*u**2 + 9 - t*u wrt u. 42*u Let r be -3 - (-2 + -3) - -2. Find the second derivative of 15*q - 11*q**4 + 0*q**4 + 5*q**4 - 7*q**r wrt q. -156*q**2 Let d(h) be the second derivative of 5*h**6/3 - 17*h**3/2 + h**2 - 3*h + 1. Find the second derivative of d(v) wrt v. 600*v**2 Let a = -4 + 16. Let l = 15 - a. Find the first derivative of -l*f + 1 + f + f - 3*f wrt f. -4 Let m(k) be the first derivative of -5 + 0*k**4 + 0*k**5 - 10/3*k**3 + 0*k**6 + 0*k - 11/7*k**7 + 0*k**2. What is the third derivative of m(a) wrt a? -1320*a**3 Let w(c) = 28*c**4 + 16*c**3 + 5*c + 280. Let i(v) = -28*v**4 - 18*v**3 - 6*v - 279. Let m(j) = -5*i(j) - 6*w(j). What is the derivative of m(h) wrt h? -112*h**3 - 18*h**2 What is the first derivative of -31*a - 3 - 99*a + 33 + 31 wrt a? -130 Find the second derivative of 198*p - 208*p**5 - 63*p + 276*p**5 wrt p. 1360*p**3 Let y(r) = r**2 - 1. Let f(i) = 6*i**2 - 2*i + 10*i**2 + 10*i - 6 + 0*i. Let u(g) = f(g) - 6*y(g). Find the second derivative of u(h) wrt h. 20 Let x(d) be the first derivative of d**5/5 + 75*d**4/2 + 218*d**3/3 - 235. What is the third derivative of x(j) wrt j? 24*j + 900 Let s(x) be the second derivative of 211*x**5/10 + 3*x**2/2 + 182*x - 1. Differentiate s(c) with respect to c. 1266*c**2 Let a(p) = 72*p**3 - 2*p**2 - 79*p - 2. Let l(i) = 73*i**3 - i**2 - 77*i - 2. Let r(o) = 3*a(o) - 4*l(o). Find the second derivative of r(m) wrt m. -456*m - 4 Let n(k) = -48*k + 110. Let g(o) = -25*o + 55. Suppose 77 = 5*c + 57. Let m(q) = c*n(q) - 7*g(q). Differentiate m(a) with respect to a. -17 Let a(v) = -v - 13. Let o be a(-15). What is the third derivative of 5*l**4 + 23*l**4 + o*l**2 - l**2 wrt l? 672*l Suppose -19*q + 12*q + 168 = 0. Differentiate 10*c - q*c + 8*c - 12 with respect to c. -6 Let p(t) = t**3 - t. Let s be p(1). Let r = 9 - 5. Find the first derivative of -1 + s*a**r - a**4 + 3*a**4 wrt a. 8*a**3 Let w = -81 + 123. Suppose -6 = 6*s - w. Find the second derivative of s*c**5 + 6*c - 9*c**5 - 4*c**5 wrt c. -140*c**3 Suppose -2*t = -t. Let n = 1 - t. What is the derivative of 5 - 2 - n - 2*k wrt k? -2 Let u(r) be the third derivative of 8*r**7/35 + 23*r**4 - 2*r**2 + 303. What is the second derivative of u(x) wrt x? 576*x**2 Let j(u) = -8*u**5 - 2*u**3 + 6*u**2. Let g(m) = -24*m**5 - 7*m**3 + 18*m**2. Let z(h) = -4*g(h) + 14*j(h). What is the third derivative of z(t) wrt t? -960*t**2 What is the derivative of 4 + 21*h - 4*h**2 + 25*h + 38 + 6*h**2 + 22 wrt h? 4*h + 46 Let v(y) be the first derivative of y**5/5 - 29*y**3/6 + 2*y**2 - 19. Let o(g) be the second derivative of v(g). Find the first derivative of o(t) wrt t. 24*t Let f(k) be the first derivative of k**8/48 - k**4/12 + 10*k**2 - 16. Let v(l) be the second derivative of f(l). What is the second derivative of v(o) wrt o? 140*o**3 Let s(n) = -10*n**2 - 4*n. Let r = -29 - -30. Let k(v) = v**2 + v. Let g(w) = r*s(w) + k(w). Find the second derivative of g(z) wrt z. -18 Let n(c) = 116*c**2 - 20. Let t(m) = -115*m**2 + m + 24. Let q(g) = 7*n(g) + 6*t(g). What is the second derivative of q(p) wrt p? 244 Let c(a) = 5*a**2 + 3*a + 12. Let n(b) = 10*b**2 + 5*b + 23. Let h be 9 + -11 - (0 - 7). Let t(r) = h*c(r) - 3*n(r). What is the first derivative of t(w) wrt w? -10*w Let b(l) be the first derivative of -201*l**4/4 - 239*l**3/3 + 475. Find the third derivative of b(n) wrt n. -1206 Suppose -2*z = -1 - 7. Suppose -3*l = -5*h - 6*l + 75, 0 = h - 4*l - 15. What is the second derivative of 3*x**4 - h*x**z - 3*x**4 - 10*x + 4*x wrt x? -180*x**2 Let s(f) = -f - 6. Let i be s(-8). What is the third derivative of 30*h - 23*h**4 + 7*h**4 - 30*h + 17*h**i wrt h? -384*h What is the second derivative of -2*k**3 + 10*k - 6 - 48*k**2 - 9*k - 41*k**2 - 6*k - 34*k**2 wrt k? -12*k - 246 What is the second derivative of 50*p**2 - 9*p**2 + 48*p**2 + 4*p**2 + 71*p wrt p? 186 Find the third derivative of 57*y**3 + 119*y**3 + 80*y**3 + 6667*y**2 + 83*y**3 - 6992*y**2 wrt y. 2034 Let j = -3 + 16. Let p = 9 + j. What is the second derivative of 24*w**2 - p*w*
{ "pile_set_name": "DM Mathematics" }
**3 Expand (9*b - b + 3*b)*(3 - 2 - 3)*(-6 - 1 + 1). 132*b Expand (-y - 2*y + 2*y)*(-17*y + 41 - 40 - 2*y). 19*y**2 - y Expand (-29 + 62 + 41 + 1)*(2 - 2*j**3 - 2). -150*j**3 Expand -4*c + 4*c + 3*c**2 + (0*c**2 + c**2 + 0*c**2)*(8 - 1 - 1) + 5*c**2 + 0*c**2 - 3*c**2. 11*c**2 Expand -4*l + 18*l + 10*l - 3 + 3 + 3*l + (1 - 1 - 1)*(0 + 0 - l) + 2*l + 1 - 1 - 6*l + 4*l + 3*l + l + l - l. 32*l Expand (-3*z + 4*z + z)*(z**2 - 3*z**2 + 3*z**2) + 2 - 10*z**3 - 17*z**3 + 20*z**3. -5*z**3 + 2 Expand (l - l + 3*l**3 + l**2 - l**2 - 2*l**3 + (3*l + l - 2*l)*(-4*l**2 + 0*l**2 + 2*l**2) - 2*l**3 + 3*l**3 + 0*l**3)*(32*l + 6*l - 18*l). -40*l**4 Expand -7*r**2 - 9*r + 1 + 22*r - 14*r + (-r**2 + r**2 + 3*r**2)*(-3 + 6 - 2). -4*r**2 - r + 1 Expand (0*u + 25*u + 10*u)*(-2*u**3 + 2*u**3 - 2*u**3). -70*u**4 Expand (4 - 4 + g)*(-3 - 2 + 4)*(-g**3 - 3 + 3). g**4 Expand (-1 - 1 + 0)*(-4*a + 5*a - 2*a) - 28*a - 8*a - 37*a. -71*a Expand (3*v**2 - 5*v**2 - 2*v**2)*(-6 + 3 + 4) + v**2 + 4*v**2 + v**2. 2*v**2 Expand (-6 - 3*j + 6)*(3*j**2 + 2*j**2 - 4*j**2)*(-2*j + 0*j + 0*j)*(1 + 3 - 2). 12*j**4 Expand (n**2 + 3*n**2 + 4*n**2)*(-n**3 + 6*n**3 + 0*n**3 + 2*n**3 + 2*n**3 - 5*n**3 + (-n**2 - 3*n**2 + 3*n**2)*(-n + 4*n - n)). 16*n**5 Expand (1 - i - 1)*(5 - 5 - 5) + (2*i - i - 3*i)*(-2 + 6 - 2) + i - 9 + 9. 2*i Expand -10 + j**4 - 8 + 44 + (2 + j**3 - 2)*(j + j + 0*j) + 2*j**4 + 2*j**3 - 2*j**3. 5*j**4 + 26 Expand (-u**3 + 3*u**3 + 0*u**3)*(0 + 0 + 2*u) + 0*u**4 - 5*u**4 - 4*u**4 + 2*u - 2*u**4 - 2*u. -7*u**4 Expand (3 + 1 + 0)*(2*w**4 - w**4 + 2*w**4). 12*w**4 Expand 2*c**5 + 3*c**5 - 4*c**5 + (c - 2*c - c)*(-2*c**3 + 3*c**4 + 2*c**3) + c**5 + 4*c**5 - 4*c**5 + 0*c**5 + 3*c**5 - 2*c**5. -3*c**5 Expand (2*w**3 + 0*w**3 - 4*w**3)*(1 - 4 + 2)*(-2 + 0 + 3)*(1 - 3 - 1)*(5 - 7 + 12). -60*w**3 Expand (-2 + 1 + 3)*(3*m**3 + 3*m**3 - 5*m**3) + (m - 2*m - 3*m)*(-2*m**2 - m**2 + 0*m**2) - 2*m**3 - m**3 + 4*m**3 + 1 + m**3 - 1. 16*m**3 Expand (8 - 10 - t - 3*t)*(4*t**2 - 5*t + 4*t - 16*t**2). 48*t**3 + 28*t**2 + 2*t Expand 235 + 19*s**4 - 235 - 5*s + s**4 + 5*s + (0 - 3 + 1)*(2*s + s**4 - 2*s). 18*s**4 Expand (14 + 2 - 50)*(3*w**2 - 3*w**2 + w**4). -34*w**4 Expand (-2*o**2 - 2 + 2)*(-9*o + 6*o + 5*o**3 - 3*o**3). -4*o**5 + 6*o**3 Expand (2*u**3 - 3*u**3 + 3*u**3)*(4 - 4 - 1) + (-2*u**2 - 6*u**2 + 2*u**2)*(-2*u - 3*u + 6*u). -8*u**3 Expand (0 - a**2 + 0)*(-3 + 3 - a**2) + 5*a**2 - 5*a**2 + a**4 + 48 + 30*a**4 - 48. 32*a**4 Expand (-3 + 2*w + 4 - 6*w)*(0 + 0 - 2*w). 8*w**2 - 2*w Expand (n**2 - 3*n + 3*n)*(-2 + 8*n + 2). 8*n**3 Expand (0 + 0 - 1)*(2*y**4 - 2*y**4 - 7*y**4) - 5*y + 5*y + y**4 - 4*y**4 + 5*y**4 + 0*y**4 + (7 - 3 - 2)*(-2*y + 2*y - 2*y**4). 5*y**4 Expand (-2*x - 2 + 2)*(4 + 6 + 5). -30*x Expand (-3*j + 2*j + 6*j + (-2*j + 3*j + j)*(-4 - 3 + 6))*(-5*j**3 + 0*j**3 + 3*j**3). -6*j**4 Expand (3*s + 3*s - 4*s)*(-4 + 2 + 3) + 563 - 43*s - 563. -41*s Expand (-w**4 + 6*w**4 - 4*w**4)*(-3 + 2*w + 3) - w**5 + 2*w**5 + w**5 + 0*w**5 - w**5 + 3*w**5 + 5*w**3 - 5*w**3 + 3*w**5 - 2*w**5 + w**5 + 0*w**5. 8*w**5 Expand (3*u - 5*u - 3*u)*(2*u**2 - 9 + 4*u + 9). -10*u**3 - 20*u**2 Expand (3 - 13 + 2)*(2 - 4 + 1)*(0 - 2*p**2 + 0). -16*p**2 Expand (-f + 4 + 3 - 8)*(5*f**2 - 4*f**2 - 3*f**2). 2*f**3 + 2*f**2 Expand ((t - 2*t + 0*t)*(-2 + 1 + 2) + (-1 + 3 - 3)*(t - 3*t + 0*t) + 4*t - 2*t + 2*t)*(-3*t + t - t). -15*t**2 Expand (-3*j**2 + 474*j - 4 - 474*j)*(-1 + 1 - 1). 3*j**2 + 4 Expand -2*l - 3*l + 4*l + (3 - 5 + 8)*(-2*l - 2*l + 3*l - 3). -7*l - 18 Expand (1 - 1 + 4*x)*(-1 + 1 - 10). -40*x Expand (-5*k**2 + 11*k - 11*k - 2)*(-2*k + 3 - 3). 10*k**3 + 4*k Expand 5*w - 5*w + 3*w**2 + (3*w**2 - 3*w**2 + 2*w**2)*(-2 - 5 + 5) + 0*w - 2*w**2 + 0*w + 2*w**2 + 3*w**2 - 3*w**2. -w**2 Expand (j**2 + 2*j**3 - j**2)*(-2*j + 2*j + 2*j**2)*(-1 - 15 + 0). -64*j**5 Expand (h + 6*h - 5*h)*(5 + 4 - 4 + (-4 + 0 + 3)*(-3 + 0 + 1)). 14*h Expand 19*k**3 - 3*k**4 - 19*k**3 + (-k**3 + 5*k**3 - 3*k**3)*(2 - 2 + 2*k). -k**4 Expand (-3 + 2 + 6)*(-2 + 3 + 1)*(-2*j + 2*j + j). 10*j Expand (b**2 - 3*b**2 + 4*b**2)*(b + 1 - 1) - 28*b**2 + 28*b**2 - 28*b**3. -26*b**3 Expand 34 - 8*l**3 - 34 + (-2 - 2 + 3)*(2*l**3 - 4*l**3 + 0*l**3). -6*l**3 Expand ((w - 4*w + w)*(-4*w + 5*w - 2*w) + 2*w**2 - 2*w + 2*w)*(0*w**2 + 2*w**2 - w**2). 4*w**4 Expand ((-3*l + 6*l - 4*l)*(0 - 2 + 3) - 3 - 2*l + 3)*(0 + 2 + 1). -9*l Expand (-t**2 + 3 - 3)*((3*t**2 - t**2 - 4*t**2)*(0*t + 4*t - 3*t) - 3*t**3 - t**2 + t**2). 5*t**5 Expand (n**2 - 3*n**2 + n**2)*((-2*n + n - 2*n)*(-3*n**2 - n**2 + n**2) + 3*n**3 - 3*n**3 - n**3). -8*n**5 Expand ((-2 + 2 - 2*g)*(-2 - 1 + 5) - 2*g + g - g - g + 4*g - g)*(-2*g + 4*g - g). -4*g**2 Expand (0*k**4 - k**4 - k**4 + (k - 5*k + 2*k)*(-2*k**3 - 4*k**2 + 4*k**2))*(6 - 1 - 3). 4*k**4 Expand (3*r**3 - 2*r**3 + r**3)*(-r**2 - 2*r**2 + 9*r**2) + (2*r**3 + r**3 - 2*r**3)*(0*r**2 + 0*r**2 + r**2). 13*r**5 Expand (-2 - 3 + 4)*(2*k - k**2 - 2*k) - 2*k**2 - 1 + 1 - k**2 - 2 + 2 - 1 + 1 - 2*k**2 - 4 + k**2 + 4 + (-k + 5*k - 2*k)*(-5*k + 0*k + 4*k) - 1 - 2*k**2 + 1. -7*k**2 Expand (4 + 5*t**2 - 4)*(t**3 - 3*t**3 + 0*t**3) - 6*t**5 + 2*t**5 + 3*t**5 - 2*t**5 + t**4 - t**4. -13*t**5 Expand -c**4 - 2*c**4 - c**2 + c**4 - 2*c**4 + 4*c**4 - 4*c**4 + (-3*c + 3*c + c**2)*(c**2 + c - c) - c**4 - 3*c**4 - 2*c**4. -9*c**4 - c**2 Expand (3 - 1 + 1)*(5 - 5 + 4*j)*(3*j**2 - j**2 + 0*j**2). 24*j**3 Expand -3*m**2 + m**2 + 3*m**2 + ((0 - m + 0)*(-3 + 5 + 0) + m + 3 - 3)*(1 - m - 1). 2*m**2 Expand (-1 + 1 + 2*x)*(3 - 3 + x)*(0 + x + 0). 2*x**3 Expand (-1 + 2 + 1)*((3*i + 0*i + 3*i)*(3 - 1 - 3) - i + 0*i + 0*i) + 0*i - 3*i + 0*i. -17*i Expand 4*n - 4*n + 5*n**3 + (-3 - 2*n + 3)*(n**2 - 2 + 2). 3*n**3 Expand (-2*g + 6*g + 2*g + (2 - 1 - 5)*(3*g - 4*g - 2*g) - 2 + 2*g + 2)*(-4 + 4 + 2*g). 40*g**2 Expand -14*y**2 + 14*y**2 + 20*y**3 + (y**3 - 2*y**3 - y**3)*(-1 - 4 + 3) + y**2 - y**2 + 2*y**3 + (0*y + y + 0*y)*(y**2 + 1 - 1). 27*y**3 Expand -6*j + 2*j + 2*j - 2*j + 4*j + 0*j + (0 + 1 - 2)*(j - 1 + 1). -j Expand (-3*m + m + m)*(0 + 0 + 2)*(-5*m + 7*m - 9*m) - m + m + m**2. 15*m**2 Expand (6 + 7 + 1 + (-1 + 1 - 2)*(-3 + 4 - 3))*(-2*r**4 - 4*r**4 + 5*r**4). -18*r**4 Expand -2*p - 5*p**2 + 2*p - 3*p + 3*p - 2*p**2 + (3 - 3 + p)*(2 - 2 + p) + 5*p**2 - 4*p**2 + p**2. -4*p**2 Expand (2*q - 4*q + q)*(-55*q**2 + 55*q**2 - 5*q**3). 5*q**4 Expand (-3 + 3 - 19*f + (3*f - f - 4*f)*(-1 + 0 + 0))*(1 - 1 - 1). 17*f Expand 2*n**2 - 4*n**2 + 0*n**2 + 0*n**2 + 0*n**2 + 2*n**2 + (2*n - 2*n - 7*n)*(2*n - 2*n + 2*n). -14*n**2 Expand (-2*h + 2*h - 2*h)*(0 - 1 + 0) + 8*h - 8*h + 8*h + (2 + 1 - 5)*(1 + 2*h - 1). 6*h Expand (6*z - 3*z - z)*(-z - 6 + 1 + 4). -2*z**2 - 2*z Expand (3*m**3 - m**3 - 4*m**3)*(23*m**2 + 12*m**2 + 15*m**2). -100*m**5 Expand -3*r**3 - r**3 + 6*r**3 + 4 + 6*r**3 + r**3 - 5*r**3 + (-1 - 2*r + 1)*(2*r**2 + 1 - 1) + 2*r**3 - 2*r**3 - r**3 + 0 + 0 + 2*r**3. r**3 + 4 Expand (-3*y**2 + 0*y**2 + 5*y**2)*(-y**2 + y**3 + y**2) + (2*y**2 - 4*y**2 + 4*y**2)*(-y + y - 6*y**3) - 5*y**5 + y**5 + 2*y**5. -12*y**5 Expand -3 + 3 + 2*f + 4 - 13*f + 15*f - 3 + (-1 + 0 + 2)*(-3*f + f + 3*f) - 3*f + 0*f + f. 3*f + 1 Expand (2 - 2 - 1)*(-1 - 2*f**4 + 1) - f**4 - 3*f**4 + 5*f**4. 3*f**4 Expand -5*i**2 + 2*i**2 + 5*i**2 + i**2 - 3*i**2 + i**2 + (0*i + 3*i - i)*(5*i - 3*i - 4*i). -3*i**2 Expand (7*i - 3*i - 2*i)*(4*i**2 - i**2 + 0*i**2) + 9*i - 8*i**3 - 9*i + 1 + 4*i**3 - 4*i**3 + i**3. -i**3 + 1 Expand ((-4 + 4 + j)*(3*j + 0*j - 2*j) + 0*j**2 + 4*j**2 - 2*j**2)*(6*j - 10*j - 11*j). -45*j**3 Expand (-2 + 4 - 1)*(1 + 0 - 4)*(12*y + 20*y**2 - 12*y). -60*y**2 Expand (s - 6*s + 2*s + (-3 - 1 + 2)*(0*s + 0*s + s))*(-4 + 4*s + 4). -20*s**2 Expand (0 + 0 + 2)*(3*c**2 - c - c + c). 6*c**2 - 2*c Expand -18*x + 18*x - x**4 + (-3*x + 4*x + x)*(-2*x**2 - x**3 + 2*x**2) + 1 - 1 - x**4 - 4*x**4 + x**4 + 2*x**4. -5*x**4 Expand 2*f**4 - 2*f**4 - f**4 + (0*f + 0*f + f**2)*(-5*f**2 + 0*f**2 + 3*f**2) - 3*f**4 + 3*f**3 - 3*f**3. -6*f**4 Expand 3*k**2 - 4*k**2 + 2*k**2 + k**2 + 2*k - 2*k + k**2 + 2*k**2 - k**2 + (0*k - 4*k + 2*k)*(k + 2*k - 4*k) - 3 + k**2 + 3. 7*k**2 Expand (1 - 1 - 4 + (-3 + 1 + 4)*(2 - 1 - 3))*(-3*a + 4*a + 2*a) - 2*a - 2*a + 3*a. -25*a Expand (-5 + 4 + 0)*(-1 + 0 + 3)*(51*s + 42 - 42). -102*s Expand (-2 + 0 + 0)*(-13 + 37 + 15)*(2*z**2 + 3*z**2 - 3*z**2). -156*z**2 Exp
{ "pile_set_name": "DM Mathematics" }
n factor of 31 and 8728? 1 What is the greatest common factor of 888 and 150183? 111 Calculate the highest common divisor of 23244 and 429. 39 Calculate the greatest common divisor of 159200 and 176. 16 What is the highest common divisor of 1215 and 19683? 243 What is the highest common divisor of 20 and 233300? 20 What is the highest common divisor of 16478 and 856? 214 Calculate the highest common factor of 115713 and 195. 39 Calculate the greatest common divisor of 68635 and 2968. 371 Calculate the greatest common factor of 182 and 148642. 26 What is the highest common factor of 11 and 82357? 11 Calculate the greatest common divisor of 117240 and 160. 40 Calculate the highest common divisor of 3381 and 21252. 483 Calculate the highest common divisor of 5626 and 2088. 58 Calculate the greatest common divisor of 48915 and 155. 5 Calculate the greatest common factor of 1360 and 44560. 80 Calculate the highest common factor of 203 and 221879. 203 Calculate the greatest common factor of 225 and 92450. 25 What is the greatest common factor of 20466 and 972? 54 What is the highest common factor of 38524 and 8? 4 What is the highest common factor of 481 and 473187? 13 Calculate the highest common divisor of 427674 and 208. 26 What is the highest common divisor of 20155 and 580? 145 What is the highest common factor of 1443640 and 510? 170 What is the highest common divisor of 9287 and 7807? 37 Calculate the greatest common divisor of 25 and 3715. 5 What is the highest common divisor of 324 and 1068? 12 Calculate the greatest common factor of 76056 and 40. 8 Calculate the highest common factor of 128 and 1661120. 64 What is the highest common divisor of 36 and 65961? 9 Calculate the highest common factor of 3500 and 4100. 100 What is the highest common factor of 689 and 57611? 53 Calculate the greatest common divisor of 4575 and 4350. 75 Calculate the greatest common factor of 56 and 9098. 2 Calculate the highest common divisor of 2 and 4594. 2 What is the greatest common factor of 671826 and 902? 82 What is the highest common factor of 33 and 131604? 33 Calculate the highest common divisor of 18 and 1584. 18 What is the highest common factor of 19 and 8828597? 19 Calculate the highest common divisor of 33 and 1330. 1 Calculate the greatest common divisor of 86 and 56846. 86 Calculate the highest common divisor of 99561 and 66. 33 Calculate the highest common factor of 149581 and 101. 101 Calculate the highest common factor of 11 and 866833. 11 What is the greatest common factor of 3513800 and 20? 20 Calculate the highest common factor of 343952 and 518. 518 What is the highest common divisor of 800 and 162976? 32 Calculate the highest common factor of 1034 and 11938. 94 What is the greatest common factor of 92376 and 72? 72 Calculate the greatest common divisor of 20 and 2780. 20 Calculate the highest common factor of 151116 and 2352. 588 What is the highest common divisor of 1252111 and 7? 7 What is the highest common factor of 7791238 and 259? 259 What is the highest common factor of 2414515 and 1028? 257 Calculate the greatest common divisor of 9 and 380457. 9 Calculate the highest common factor of 2501 and 107848. 61 What is the highest common divisor of 873 and 574725? 291 Calculate the highest common divisor of 255 and 111605. 85 What is the highest common divisor of 18820 and 60? 20 What is the greatest common factor of 9483 and 87? 87 Calculate the highest common divisor of 240 and 110730. 30 Calculate the highest common divisor of 20659 and 584. 73 What is the highest common factor of 19573 and 184? 23 Calculate the highest common factor of 468 and 15138. 18 What is the highest common divisor of 17094 and 273? 21 What is the greatest common divisor of 9846025 and 70? 35 What is the highest common divisor of 1007 and 1674641? 1007 What is the highest common factor of 85 and 374238? 17 What is the highest common factor of 136 and 171751? 17 Calculate the highest common divisor of 918175 and 475. 475 Calculate the greatest common factor of 60 and 37020. 60 Calculate the greatest common factor of 1920 and 16384. 128 What is the highest common factor of 23033700 and 1347? 1347 What is the highest common divisor of 879303 and 2943? 327 What is the highest common factor of 1649 and 5626? 97 What is the highest common divisor of 17549 and 25277? 161 What is the highest common divisor of 96 and 262308? 12 Calculate the highest common factor of 38 and 274588. 38 Calculate the highest common divisor of 1443830 and 40. 10 Calculate the highest common factor of 420 and 567. 21 What is the greatest common divisor of 59 and 250927? 59 What is the greatest common divisor of 313 and 67608? 313 Calculate the greatest common divisor of 165 and 22704. 33 What is the greatest common factor of 20815 and 5792? 181 What is the highest common divisor of 1026 and 401490? 54 Calculate the greatest common divisor of 12496 and 1507. 11 What is the greatest common factor of 40576 and 317? 317 Calculate the greatest common factor of 6576 and 48. 48 What is the highest common divisor of 509643 and 765? 153 Calculate the greatest common divisor of 250591 and 1881. 209 Calculate the greatest common divisor of 609260 and 1230. 410 Calculate the highest common divisor of 7087 and 854543. 373 Calculate the greatest common factor of 710 and 129575. 355 What is the greatest common factor of 1547656 and 3311? 473 What is the greatest common divisor of 160 and 68740? 20 What is the highest common factor of 50 and 3798825? 25 Calculate the greatest common divisor of 11424 and 14448. 336 What is the highest common divisor of 64 and 637384? 8 Calculate the highest common factor of 12 and 287360. 4 What is the highest common divisor of 152 and 92? 4 Calculate the highest common factor of 1316 and 72004. 188 Calculate the greatest common divisor of 33264 and 880. 176 What is the highest common divisor of 9128 and 3304? 56 What is the greatest common divisor of 13087 and 253? 23 What is the greatest common factor of 11700 and 2020? 20 Calculate the greatest common factor of 390788 and 1359. 151 Calculate the greatest common divisor of 78 and 1461603. 39 Calculate the greatest common divisor of 7620 and 60. 60 What is the greatest common divisor of 880 and 34760? 440 What is the highest common factor of 3135 and 33155? 95 What is the highest common divisor of 1315 and 95? 5 What is the greatest common factor of 327 and 4667489? 109 What is the highest common divisor of 168506 and 52? 26 What is the greatest common factor of 200 and 19848? 8 Calculate the greatest common factor of 2987 and 38135. 29 What is the greatest common factor of 5752 and 455846? 1438 What is the greatest common divisor of 544 and 108256? 544 What is the highest common divisor of 10980 and 7020? 180 What is the highest common factor of 18101 and 713? 23 What is the greatest common factor of 396 and 24772? 44 Calculate the highest common divisor of 20 and 788332. 4 Calculate the highest common factor of 8787 and 2001. 87 What is the highest common divisor of 5952 and 218304? 192 What is the highest common factor of 8282 and 127462? 202 What is the greatest common factor of 10461 and 19337? 317 What is the highest common divisor of 20 and 603630? 10 Calculate the greatest common divisor of 105429 and 3955. 113 What is the highest common factor of 24587 and 115? 23 What is the highest common divisor of 348 and 15022? 58 Calculate the greatest common divisor of 47545 and 42920. 185 What is the highest common factor of 968 and 25531? 121 Calculate the highest common factor of 164916 and 1296. 324 Calculate the greatest common divisor of 1180 and 6680. 20 Calculate the highest common divisor of 2890110 and 30. 30 What is the highest common factor of 724 and 496? 4 What is the highest common divisor of 3600 and 23184? 144 Calculate the highest common factor of 533577 and 4255. 851 Calculate the highest common factor of 228 and 40318. 38 What is the greatest common factor of 5909 and 57? 19 What is the highest common divisor of 3828208 and 32? 16 Calculate the highest common divisor of 3444 and 2478. 42 Calculate the highest common factor of 314 and 502714. 314 Calculate the highest common factor of 100 and 42725. 25
{ "pile_set_name": "DM Mathematics" }
j(t) = -6*u(t) + w(t). Calculate j(-3). 8 Let o(u) = 2*u + 1. Let t be o(-1). Let g be -3 + (5 - (2 - 8)). Let l(h) = 8*h - g*h + 1 + h + 3*h. Determine l(t). -3 Let j = 3 - 4. Let p(i) be the second derivative of -5*i**4/6 - i**2/2 - 750*i. Determine p(j). -11 Suppose -3*t = -42 - 1326. Let u(x) = t*x - 1 - 457*x - 7. Let b be -3 - 9/12*4. Calculate u(b). -2 Let t(b) = b**2 + 9*b + 7. Let r = -81 + 88. Let k(w) = w**2 - 6*w + 14. Let h be k(r). Suppose 11*g = -h - 45. Determine t(g). -11 Let d(i) = 5*i - 2*i - 23*i + 15*i + 11*i + 141. Calculate d(0). 141 Let q(k) be the third derivative of k**4/24 + 4*k**3/3 + k**2. Let i(t) = 359*t**2 + 2*t + 3. Let m be i(-2). Suppose 2*p + m = 1423. Determine q(p). 2 Suppose 92*z - 6*z - 258 = 0. Let i(f) be the first derivative of 14 - 5/2*f**2 - 8*f + 1/3*f**z. Calculate i(7). 6 Let y(r) = 3*r**2 - 6*r + 29. Let k be y(-4). Let n(m) = 103*m - 15 + k*m - 203*m. Determine n(10). -5 Let k(d) = d + 0*d - 12 + d. Let a(f) = -f**3 + 23*f**2 - 48*f + 134. Let r be a(21). Let g be k(r). Let u(i) = -i**3 + 5*i**2 - 3*i - 4. Determine u(g). 0 Let a be (234/45)/((-2)/(-30)). Let t(b) = -79 + b - 84 + 3*b**2 - a + 239 - 2*b**2. Determine t(-2). 0 Suppose 2*c = 4*c + 2. Let b be ((1/(-2) - -2) + -1)*2. Let j(k) = -2*k**3 + 1 - k**2 - 5*k**3 + 10*k**3 - b. Calculate j(c). -4 Suppose 4*d - 17 + 1 = 0. Let i(w) = -30*w + 9. Let u(x) = 83*x - 28. Let g(o) = 11*i(o) + 4*u(o). Give g(d). -5 Let z(p) = -4*p + 7. Let g be (-6)/(-21) - (2 - 561/21). Let k be (-3 - -1)/8 - g/(-4). Calculate z(k). -17 Let i(a) be the second derivative of -47*a + 0*a**3 - a**2 - 1/20*a**5 + 0 - 1/3*a**4. Determine i(-3). -11 Let i(p) = -8*p**3 + 350*p**2 + 449*p + 46. Let j be i(45). Let v(x) = 2*x**3 - x**2 + 2*x**2 - 8*x**3. Give v(j). -5 Let m be (-75)/(-11) - (485/55 - 9). Let a(v) = v**3 - 8*v**2 + 9*v - 10. Calculate a(m). 4 Let o(s) = -s**2 + 9*s + 10. Let g be o(10). Let x(c) = 6 - 9*c**2 + 4 + 8*c + g*c**2 - 2*c**3 + 3*c**3. Let v = -16 + 24. Determine x(v). 10 Let p be -3*((-2)/6 - (-12)/(-9)). Let l = 0 + p. Let d(i) = 11*i**2 - i**3 - 8*i**2 + 2*i + l + 2*i**2. What is d(5)? 15 Suppose 21 - 181 = -32*q. Let o(p) = p - 6. Let g(y) = -3*y + 19. Let f(c) = 3*g(c) + 8*o(c). Determine f(q). 4 Let h(o) be the second derivative of 0 + 1/6*o**3 - 4*o**2 - 77*o. Determine h(6). -2 Suppose 0*w = 2*w + 4*c + 10, 9 = -w - 3*c. Let n(a) be the third derivative of a**6/120 - a**5/60 - a**4/8 + 987*a**2. Calculate n(w). 9 Let p(k) = 4 + k + 2 - 75 + 61 + k**3 - 23*k**2. What is p(23)? 15 Suppose 2*g + 863 = 5*m, -4*g + 326 = 3*m - m. Let k(q) = 66 - 11*q - 58 + m*q**2 - 170*q**2. What is k(10)? -2 Let y = -388 - -388. Suppose m - 4*j + 5 = 4, y = m - 5*j. Let s(r) be the second derivative of r**4/12 + 5*r**3/6 - 3*r**2 - r. What is s(m)? -6 Suppose -18 = 2*l + 4*i, 4*l - 3*i = 5*l + 11. Let o be (-3)/(27/36 + 10/(-8)). Let j(g) = -1217*g - o*g**2 - 3*g**3 + 2*g**3 + 1213*g - 3. Determine j(l). -8 Let q(l) = -l**3 - 11*l**2 + l - 11. Let c(w) = -45*w - 36. Let g be c(-3). Suppose -89*v + g = -98*v. Calculate q(v). -22 Let o(z) = z**3 - 2*z**2 - 4*z + 9. Let n be o(4). Let v = n + -24. Let c(i) = v + 4 - 91*i - i**2 + 1 + 86*i. Calculate c(-6). 0 Let q(w) = -w**3 + w + 3. Let c(z) = -2*z + 2. Let n be c(-2). Suppose 2*p = -n*p. Let o be (35/(-15))/7*p. What is q(o)? 3 Let q(y) be the third derivative of -y**6/120 - 2*y**5/15 + y**4/6 - 5*y**3/3 + 8*y**2 - 3*y. Let l = -583 - -575. What is q(l)? -42 Let w(n) = 2. Let m(h) = h. Let b(s) = 2*m(s) - w(s). Suppose -1912*l + 4767 = -323*l. What is b(l)? 4 Let a(p) be the second derivative of -p**4/3 - p**3/2 + 2*p**2 - p. Let r(s) = -262*s - 37469. Let h be r(-143). Calculate a(h). -23 Let i(q) = -2*q + 8. Let y = 4 + -8. Let x = 12235 - 12092. Let d be y/(-22) + (-1027)/x. Determine i(d). 22 Let g(t) be the third derivative of 67 + 1/60*t**5 + 13/24*t**4 - t**2 + 0*t + 1/3*t**3. Determine g(-13). 2 Let i(q) = q**3 + q**2 - 4*q - 1. Let o be 6 - ((0 - 1 - -8) + 12/(-12)). What is i(o)? -1 Let k = 19 - 17. Let y(x) = x**2 + 3*x + 4. Let i be y(-2). Let q(t) = i - k - 2*t**2 + 1 - t**2 - 4*t. Give q(-3). -14 Let k(v) be the first derivative of v**4/4 + 5*v**3/3 + 5*v**2/2 - 7*v + 7287. Suppose 0 = 3*m + 6 + 9. Determine k(m). -32 Let d(k) = 442*k + 8852. Let r be d(-20). Let c(y) = y**2 - 13*y + 17. Let a(x) = -x**2 + 13*x - 17. Let g(j) = 3*a(j) + 2*c(j). What is g(r)? -5 Suppose 10*h - 5*b = 14*h + 7, h - 3*b = -23. Let k(a) = -a**2 - 3*a + 37. What is k(h)? -3 Let w(r) be the second derivative of -1/2*r**2 + 14*r - 7/6*r**3 + 1 - 2/3*r**4 - 1/20*r**5. Let h(a) = a**3 + 5*a**2 - 4*a + 5. Let q be h(-6). Give w(q). -1 Let f(m) = -2*m - 3 + 6 - 9. Suppose -22 = 2*y + 4*b, -3*y + y = -b + 7. Calculate f(y). 4 Suppose 4*w + 14 - 70 = -2*l, -4*w = -l - 50. Let t(m) = 7*m - 88. Determine t(w). 3 Suppose -5*x + 0*o = 2*o - 13, -3*x + 11 = -2*o. Let z = -47 + 55. Let r(v) = 6*v - z*v - 2 + v**x + 0 - 1. Determine r(-2). -7 Let u(g) = 135*g - 57*g - 32 - 217*g + 137*g. Calculate u(13). -58 Let s(h) = 0*h**2 + 4*h + 2*h**2 - 2 + 4 - 3*h**2. Suppose 136 = -5*l - 5*x + 461, 2*l + 3*x = 126. Let c = 66 - l. Calculate s(c). -19 Let m be 5*9/(0 - 9). Let o = -2 + 5. Let d(c) = o*c**2 - 4*c**2 + 6 - 3*c + 0. Calculate d(m). -4 Let o(z) = 2*z - 15. Let p(v) = -3*v + 24. Let g(y) = -13*o(y) - 8*p(y). Determine g(5). -7 Suppose 0 = -f + 61 + 202. Let g(j) = -8 - 267*j + 13 + f*j. Give g(5). -15 Let u(k) be the third derivative of k**6/120 - k**5/30 - k**3/2 - 2*k**2 + 21. Suppose -p = -6*p + 10. Give u(p). -3 Let p(z) = 2*z**3 + 24*z**2 - 6*z - 15. Let r = 2987 + -2999. What is p(r)? 57 Let c = 3 + -5. Suppose 359 = 13*o - 759. Let t(k) = o*k - 7 - 3*k**2 - 90*k + 5. Determine t(c). -6 Let p(r) = -2*r**2 + 6*r - 2. Let c be p(4). Let y(a) be the second derivative of a**3/6 + a**2 + 192*a - 7. Give y(c). -8 Suppose -2*d + d - 3*g + 47 = 0, -5*d + 2*g + 150 = 0. Let a = -55 + d. Let n = a - -31. Let t(v) = -2*v + 11. Determine t(n). -5 Let s(o) = o - 1. Let v = -232 + 239. Suppose -v*c + 44 = -2*c - y, 5*y = c - 28. What is s(c)? 7 Let y(l) = l**3 + l**2 - 8*l + 3. Suppose 14 = -42*c - 12 + 152. Give y(c). 15 Suppose -2*p = -168*k + 171*k + 44, 5*k = -3*p - 72. Let m(b) = b**2 + 11*b - 41. What is m(k)? -29 Suppose -v = -6*v + 110. Let b(n) = -6*n**2 - n**3 + v*n + 13 - 20*n - 4. Let d = 23 + -29. Calculate b(d). -3 Let y be 2*(-15)/(-2)*(-31)/(-93). Suppose -4 = -n - y. Let d(c) be the second derivative of -3*c**5/20 - c**4/12 - c**3/6 - c**2/2 - 2*c. Give d(n). 2 Let b be ((-135)/18 + -3)*(-16)/28. Let i(a) = 2*a**3 - 8*a**2 + a - 11. Determine i(b). 139 Let i(b) = b**2 + 5*b - 4. Let m be 28/378 + 133/27. Determine i(m). 46 Let q(r) be the first derivative of -r**2/2 - r - 1. Suppose -53*w = -52*w - 2*k - 5, 0 = -3*w + 2*k + 11. What is q(w)? -4 Let b be 4/14*(7 - 0). Let r(h) = h + 2 - b + 6. Suppose 2*l + 1 = -5*s - 5, 0 = -5*l - 15. Give r(s). 6 Let m(q) = -2*q - 6. Let o be m(-4). Suppose -7 - 2 = -s + 2*z, -3*s + 4*z = -21. Let r(u) = 16 + 2*u - 18 - 4*u**2 + 2*u + 2*u**s. Calculate r(o). 6 Let s(k) = 13*k**2 + 11*k + 20*k - 17 - 12*k. Calculate s(1). 15 Let f(n) = 3*n**2 - 3*n + 3. Let p(k) = -k + 4. Let v be p(-3). Let q(z) = 398 - 4*z**2 - 400 + v*z - 3*z. Let u(m) = -5*f(m) - 4*q(m). Give u(0). -7 Let k(x) be the third derivative of -x**6/120 - 3*x**5/20 + x**4/12 + 3*x**3/2 + 950*x**2 + 5. What is k(-9)? -9 Suppose -2*p - 4*q - 10 = 0, -5*q - 143 = -123. Let f(b) = 6*b - 14. Calculate f(p). 4 Let a(n) = n + 1. Let o(w) = 5*w - 4. Let l(x) = -3*a(x) - o(x). Let v(q) = -6*q - 1. Let f be v(14). Let y = f - -86. What is l(y)? -7 Let u(d) be the first derivative of 4*d**3 + d + 470. Determine u(-1). 13 Let s(i) = 3*i**2 - 11 - 5 + 137*i + 118*i + 5 - 245*i. What is s(-5)? 14 Let f = -93 - -126. Suppose -36*l + 39 = -f*l. Let m(n) = 26*n**2 - 10*n - 14*n**2 - l*n**2 - 2 - 9. What is m(-8)? 5 Suppose 68 = -5*u - 5*l - 37, 28 = -2*u + 5*l. Let j(f) = 1. Let c(q) = -2*q - 36. Let v(h) = -c(h) - 5*j(h). Let o be v(u). Let z(k) = -k - 3. Determine z(o). 4 Let q(l) be the second derivative of l**4/12 - 4*l**3/3 + 4*l**2 + l + 37. Calculate q(5). -7 Suppose 5*p = 16 - 6. Let y(c) = 3 + 7 - p*c - 18. Suppose -2*z - 2*z =
{ "pile_set_name": "DM Mathematics" }
. Let w = -1.7 - -2. Which is the nearest to z? (a) -2/23 (b) w (c) 0.1 c Let b = 47.4 - 50.39. Let d = 2.85 + b. What is the closest to d in 0, 4/5, -4? 0 Let c be -7 + (0 + 6 + -5)*7. Let u be 2 - 2 - 6/(-2). Suppose -6*g + u*g = c. What is the nearest to g in 3, 0.2, 0.5? 0.2 Suppose -16*d - 21*d + 48 = 11*d. Let v = 0 + -6. What is the closest to -4/3 in 5, v, d, -1/5? -1/5 Let q be -4 - 6 - (-6)/36*0. Let r be (306/(-340))/((-12)/q). What is the closest to 0 in -0.1, r, -5? -0.1 Let x = -4568 + 4548. Which is the closest to 0? (a) 2 (b) x (c) -1 c Let g = -3903 - -11710/3. What is the closest to -1.6 in g, 4, -12/5? -12/5 Let j = 14243.99 - 14244. What is the nearest to 0.1 in j, 4/7, 124, 2? j Let s be (2/6)/(3/99). Suppose 0 = 3*d + 4 + s. Let w = -1192.5 + 1192. Which is the nearest to -9/11? (a) d (b) w (c) 0.1 b Let t = 0.12826 + -0.02826. Which is the nearest to t? (a) 0.4 (b) 0.089 (c) 1 b Let y be 2/(15/25*10). Let o = 0.278 - 5.278. What is the closest to -0.1 in 7, o, 2, y? y Let j(l) = 3*l**2 + 6*l - 7. Suppose x - i - 2 = 0, -13*x - 4*i = -14*x + 5. Let h be j(x). Which is the nearest to 1? (a) 0.1 (b) -0.02 (c) h (d) -0.3 a Let f = 408/1477 + 2/211. Let j = -6.9 + 2.9. What is the closest to f in 0.05, -1, j? 0.05 Let z be (1/(-2))/(4/(-32)). Let l be -6*(-4 - -2)/8. What is the closest to z in l, 0.3, -4/3? l Suppose -b + 28 = -3*x + 7, 0 = 3*x. Let h = 8 - -458. Let c = h - 466.1. What is the closest to -2/7 in b, 4, c? c Suppose 13*k = -5*p + 28, -14 = -3*k - 4*p + 1. Which is the closest to 0.05? (a) k (b) -0.2 (c) -5 (d) -137 b Let g = 1.3498 + -0.3498. What is the closest to g in -1.2, -2/21, -0.1? -2/21 Let d = -39241 + 234701/6. Let t = -124 - d. Let y be 6/(-10) - (-2)/4. Which is the nearest to -0.1? (a) t (b) y (c) 2/9 b Let h be -2 - -3 - 4/(-1 + 5). Suppose -21*m + 16*m = -235. Let f = 52 - m. What is the closest to h in -2/5, f, -3/8? -3/8 Let j = -14999 + 104994/7. Let t = 1 + -6. Which is the closest to j? (a) t (b) 1/2 (c) -2/3 b Let r = 9235 - 9235.4. Which is the nearest to 2? (a) -1.5 (b) 4 (c) r b Let u = -7734 + 7735. What is the nearest to 16/9 in -11, u, 0? u Let n = -0.671 + 0.271. Let f = -8 + 8.4. Which is the nearest to 4? (a) 0 (b) f (c) n b Suppose 103*s + 2*a + 86 = 100*s, -2*a - 26 = s. What is the nearest to -0.1 in 1/3, s, 0.5? 1/3 Let k = 312.9 + -260.9. Let w = 21 + -68. Let q = w + k. Which is the nearest to -2? (a) q (b) 3 (c) -1/2 c Let n = -142.28 + -1.72. Let a = n + 141. What is the closest to 4 in -1/4, a, 0.1? 0.1 Let m = 18.64 - 18.54. What is the nearest to -19 in 1/3, -2/179, m? -2/179 Let y = 1530 - 1531. Which is the nearest to y? (a) 71 (b) 1 (c) 4 (d) -1 d Let r = -1654 - -1653. Which is the nearest to -0.1? (a) r (b) -4 (c) -42/11 (d) -11 a Let s = -1535 + 1532. Which is the closest to 36? (a) -0.1 (b) 0.2 (c) s b Let b(n) = -72*n**2 - 1367*n + 7. Let c be b(-19). What is the nearest to -0.2 in -4, c, 1/2? 1/2 Let l be 5 - (594/72 + 1/(-2) + -3). Which is the nearest to 12? (a) l (b) -0.2 (c) 1/2 c Let s(b) = -120*b**2 + 1086*b - 52. Let v be s(9). What is the closest to 0.2 in -767, -0.4, v? -0.4 Let n be 32 + (-14)/(7 - 9). Let q be 16/(-104) - (-84)/n. Which is the closest to 2? (a) q (b) -0.11 (c) 4 a Let q be ((1488/(-28))/31)/(-6). Let a = -11 + 12. What is the nearest to 10 in -2, a, 0.02, q? a Let q = 0.07024 - 0.08024. Which is the closest to q? (a) 0.4 (b) -1/2 (c) 0 c Let x = -4.86 - 278.14. Let g = -180 - x. Let t = g - 103. Which is the nearest to t? (a) 0.3 (b) 1 (c) -3/4 a Suppose 4 = -5*d - s - 21, -2*s = 3*d + 15. Let l(f) = -f - 3. Let y be l(d). Let h be 0*(-1)/(-4)*y. What is the nearest to -1/4 in 5, 1/7, h? h Let z = -46.23 + 41.23. Which is the closest to z? (a) -12 (b) -0.1 (c) -0.5 (d) -1/3 c Suppose -87*m - 13 = -83*m + 3*y, 7*m + 5*y = -21. Which is the nearest to 11? (a) -3 (b) 10 (c) m (d) 0.5 b Let y = 613 - 612.6. Let w be -1*(3 - (4 + -2)). Let a = 11.9 - 12. What is the closest to w in y, a, 22? a Let k = 551/42 - 89/6. Let n = -5213.7 - -5211.7. Which is the closest to 1/4? (a) n (b) k (c) -0.3 c Let h = 46 - -1. Let k = 46.1 - h. Let w be (-48)/(-132) + (-21)/(-33). Which is the nearest to w? (a) 5 (b) k (c) 0.4 c Let w = -2522 - -2621. What is the closest to 0 in w, 1, -2/15, 1/8? 1/8 Let f = 37706/11 + -3428. Which is the nearest to 2/7? (a) f (b) -0.06 (c) 1/4 (d) -3 c Let s be (1 - 0) + 2/(-4). Suppose -p + 4*d - 10 = 0, 34 = 3*p + 5*d + 30. Let i be p/(-3) - (-66)/(-18). What is the nearest to 0 in s, -0.12, i? -0.12 Let f = 4349/19 - 229. Let y = -14 + 13. Which is the closest to 1? (a) f (b) y (c) -3 a Let h = -7787/36 - -1958/9. What is the nearest to -1 in h, -1/4, -31? -1/4 Let o be ((-16)/12 + 0)*(-14 - -5). Let j be 20/(-15)*2/o. What is the closest to j in -1/2, 1, 14? -1/2 Let i = -355 - -406. Let o be (-4)/(-18) - (51 - i). Suppose -5 = 6*y - y. What is the closest to y in -0.3, 0, o? -0.3 Let j = 3.6371 + 0.3629. What is the nearest to -0.1 in j, 1, -4/13? -4/13 Let b be (1 - (2 - 2))/(39/(-26)). Suppose -t + 3*z = -8, -10 = -5*t - 0*z + 5*z. What is the closest to t in b, 2/11, -1? -1 Let i = 0.0808 + -0.1808. Let y = 0.11 + -0.1. Let g = 0.21 - y. What is the nearest to g in i, 0.3, -1/4? 0.3 Let g(x) = x + 8. Let b be g(-10). Let a = -82 - -80.75. Let i = a + 24.25. What is the nearest to 1 in i, b, -0.4? -0.4 Let x = 38.36 - 37.86. Which is the closest to 0.1? (a) -2/99 (b) 0.7 (c) x a Suppose v + 3*l - 40 = -36, -5*l = 0. Suppose -3*s - v*n + 13 = 0, -13 = -2*s + 2*n - 9. Which is the nearest to -1/4? (a) 6 (b) -0.3 (c) -2 (d) s b Let u(s) = 5*s**2 - s + 1. Let v be u(1). Let d = 27.006 + -26.506. Which is the nearest to 9? (a) v (b) d (c) -4 a Let k = -440 - -435. Let l be 3*(1/(-3))/(k/(-10)). Which is the nearest to l? (a) 2/5 (b) 3/4 (c) 1/2 a Let i be (-6)/(-130) + (-2)/(-10)*(-86)/86. What is the nearest to 1 in -1/5, 21, i, 7? i Let n = 65.64 + -60.64. Let w = -50 - -50.2. Which is the nearest to w? (a) 8 (b) -0.4 (c) n (d) 1 b Let p = -11935.557 - -11935. Which is the closest to -0.1? (a) -1 (b) 0 (c) p (d) 1/5 b Let n = 61 + 139. Let j = -201 + n. Which is the closest to j? (a) -59 (b) -5 (c) 0.2 c Let h = 2 + -2.2. Let x(v) = v - 5. Let z = 1 + 1. Let k be x(z). Which is the nearest to -0.2? (a) k (b) 1/5 (c) h c Let u be -1 - (21/(-7) - 1). Suppose 3*h - 9 = 3*l, -u*l - 2*h = 3*h + 9. Let w = 2239/9 + -249. Which is the closest to 0? (a) -0.3 (b) l (c) w c Let i = 2240 + -2242. Let t = -0.16 - -0.07. Which is the closest to t? (a) 5 (b) i (c) 0.2 c Let h = -0.697 + -528.303. Let o = h - -528.5. Suppose n - 4*n - 2*v + 65 = 0, 3*n + 3*v = 66. Which is the closest to 0.1? (a) -2 (b) o (c) n b Let c = -4948/645 - -1/215. Let i = c + 71/9. Let r = -1.7832 + 1.8832. What is the closest to i in r, -4, 3? r Let w = 90.3 + -90.1. What is the nearest to 0 in w, 16, 4, -0.1? -0.1 Suppose -151*k + 7*k = 0. What is the closest to k in 90/7, -0.2, -1/4? -0.2 Suppose 9*h + 2 = 29. Suppose h*u + 17*u + 40 = 0. What is the closest to u in -1, 0.3, 0? -1 Let g = 198.92 + -199. Let q(i) = -i**2 + 18*i - 45. Let t be q(15). Suppose -16*p = -0 - t. Which is the nearest to 0? (a) g (b) 5 (c) p c Let z = -77.8 + 78. Let w be (-44)/(-32) - (-2 - -4 - 1). What is the nearest to z in -5, w, 0.01? w Let g = -764 - -746. Let y = -0.084 + 1.084. What is the nearest to y in -3, -1/5, g? -1/5 Let x = -78.287 + 74.38. Let v = 0.093 - x. Which is the nearest to -1? (a) v (b) -1/3 (c) 0 b Let h = 6907/44 - 1724/11. What is the nearest to -0.1 in h, 0.4, 190? h Let r be (-949)/(-429) + 6/(-11). Which is the closest to 1? (a) -18 (b) -3 (c) r (d) 0.1 c Let w(i) = -i**3 + 12*i**2 + 10*i + 15. Let j be w(13). Let b be 14/(-21) - 22/j. What is the closest to -1/4 in 0.2, b, 4/7? 0.2 Let r = -292.83 + 267.83. What is the nearest to 4 in 5, -1, r, 4? 4 Suppose 2*p + 3*p - 25 = 0. Suppose r - p = -4*r. Let b = 300 - 299.9. What is the nearest to r in b, -0.3, -1/13? b Let m = 0.048 + -14.048. Suppose -3*c + 5 = -7. Suppose -8 = c*n + 8. What is the nearest to m in -0.1, n, -1/2? n Let s = 0.3 - 0.1. Let l = -10291 - -1029
{ "pile_set_name": "DM Mathematics" }
3/2 - 1359*j**2 + 1846881*j/2 = 0. 0, 1359 Suppose r**4/3 + 14*r**3/3 - 1927*r**2/3 - 1964*r/3 + 1292 = 0. Calculate r. -51, -2, 1, 38 Suppose 3*p**4 - 666*p**3 + 16371*p**2 - 14388*p - 31428 = 0. What is p? -1, 2, 27, 194 Determine x so that 2*x**5 - 468*x**4 + 35032*x**3 - 718308*x**2 - 8778618*x - 21257640 = 0. -5, -4, 81 Solve -9*l**4/2 + 2051*l**3/4 - 2424*l**2 - 545*l/4 = 0 for l. -1/18, 0, 5, 109 Suppose 3*u**2/7 - 132*u/7 - 2880/7 = 0. Calculate u. -16, 60 Solve 2*p**5/17 - 24*p**4/17 + 6*p**3/17 + 592*p**2/17 - 1440*p/17 = 0 for p. -5, 0, 4, 9 Factor -4*w**2 - 360*w - 6804. -4*(w + 27)*(w + 63) What is m in 13*m**2 + 71*m/5 - 402/5 = 0? -201/65, 2 Suppose 3*f**5 + 357*f**4 - 3012*f**3 + 4572*f**2 = 0. Calculate f. -127, 0, 2, 6 Solve -2*m**2 - 10*m/3 + 4000/3 = 0. -80/3, 25 Let 5*o**2 - 460*o - 2940 = 0. Calculate o. -6, 98 Let -4*t**2/9 + 5360*t/9 - 37324/9 = 0. Calculate t. 7, 1333 Factor 3*j**4 - 7926*j**3 + 282744*j**2 - 3382560*j + 13509504. 3*(j - 2606)*(j - 12)**3 What is n in 3*n**3 - 63*n**2 - 678*n + 2520 = 0? -10, 3, 28 Factor 3*j**2/5 - 5316*j - 106368/5. 3*(j - 8864)*(j + 4)/5 Find o such that -10*o**5 - 475*o**4 + 2825*o**3 - 4750*o**2 + 1100*o + 2120 = 0. -53, -1/2, 2 Factor -2*n**2 - 4760*n. -2*n*(n + 2380) Find a, given that -18985*a**3/8 + a**2/8 + 18985*a/2 - 1/2 = 0. -2, 1/18985, 2 Determine w so that 3*w**2/5 - 306*w - 3120 = 0. -10, 520 Suppose -5*h**5 + 95*h**4 - 85*h**3 - 95*h**2 + 90*h = 0. What is h? -1, 0, 1, 18 Solve 12635*k**4 + 29545*k**3 + 24210*k**2 + 8300*k + 1000 = 0 for k. -1, -10/19, -2/7 Solve -b**3/2 - 2013*b**2 - 32151*b/2 - 14063 = 0. -4018, -7, -1 Factor -5*b**3 + 1623535*b**2 - 131792483040*b - 131794106580. -5*(b - 162354)**2*(b + 1) Find a, given that -290*a**4 + 1198*a**3 - 1308*a**2 + 136*a + 16 = 0. -2/29, 1/5, 2 Suppose -175561*p**4 - 23464*p**3 - 784*p**2 = 0. What is p? -28/419, 0 Determine v so that 90*v**4 + 1765*v**3 - 12450*v**2 - 8155*v - 750 = 0. -25, -1/2, -1/9, 6 Find p, given that p**2/10 - 1031*p/2 = 0. 0, 5155 Find h such that h**2 + 57925*h + 115846 = 0. -57923, -2 Factor g**2/4 + 418693*g + 175303828249. (g + 837386)**2/4 Find i, given that 4*i**3 - 37400*i**2 + 87385088*i + 174919808 = 0. -2, 4676 Factor d**3/7 - 752273*d**2/7 + 141478290495*d/7 + 141479042769/7. (d - 376137)**2*(d + 1)/7 Factor -2*j**2/5 + 1423312*j/5 - 253227131168/5. -2*(j - 355828)**2/5 Let -2*n**2/3 + 89608*n - 537640/3 = 0. What is n? 2, 134410 Factor -z**2 + 12661*z - 12660. -(z - 12660)*(z - 1) Factor -5*m**2 + 1533330*m - 117555044445. -5*(m - 153333)**2 Factor -2*t**4 + 7984680*t**3 - 10625852450400*t**2 + 4713557307981104000*t. -2*t*(t - 1330780)**3 Let d**3/5 - 3*d**2 - 2997*d/5 - 50301/5 = 0. What is d? -27, 69 Factor 4*n**3 + 200*n**2 + 1196*n - 11480. 4*(n - 5)*(n + 14)*(n + 41) Factor -3*v**3 - 151*v**2 - 48*v + 100. -(v + 1)*(v + 50)*(3*v - 2) Factor -b**3/3 - 4*b**2/3 + 17*b + 18. -(b - 6)*(b + 1)*(b + 9)/3 Factor -3*j**2 - 87360*j - 635980800. -3*(j + 14560)**2 Solve -3*g**5 - 2022*g**4 - 350667*g**3 - 3356520*g**2 - 8266800*g = 0. -332, -5, 0 Find c, given that -5*c**4 + 11510*c**3 + 454500*c**2 + 4668490*c + 4225505 = 0. -19, -1, 2341 Let -3*v**4 - 1020*v**3 + 388566*v**2 + 80795220*v - 18823147563 = 0. What is v? -379, 209 Factor 3*g**2/2 - 78465*g/2. 3*g*(g - 26155)/2 What is v in -33708*v**4 + 283868*v**3 - 109952*v**2 - 31040*v + 12800 = 0? -1/3, 20/53, 8 Factor 2*j**2/9 - 90*j - 47528/9. 2*(j - 457)*(j + 52)/9 Factor 5*b**3 - 1445*b**2 - 37820*b + 81380. 5*(b - 313)*(b - 2)*(b + 26) Determine i, given that -i**5 - 12*i**4 + 14*i**3 + 12*i**2 - 13*i = 0. -13, -1, 0, 1 Determine n so that -n**4/3 - 120670*n**3/3 - 1213477631*n**2 - 7280503780*n/3 - 3640191556/3 = 0. -60334, -1 Solve -338*d**5/9 + 28288*d**4/3 - 6286*d**3/9 - 20056*d**2/3 - 2008*d = 0. -6/13, 0, 1, 251 Determine a, given that 2*a**5/9 - 26*a**4/9 - 22*a**3/3 + 74*a**2/9 + 232*a/9 + 40/3 = 0. -2, -1, 2, 15 Suppose -2469*a**4 - 16878*a**3 - 16917*a**2 + 42744*a - 6480 = 0. Calculate a. -4, 135/823, 1 Suppose z**3/2 - 503*z**2 - 3135*z/2 + 54486 = 0. What is z? -12, 9, 1009 Find a, given that 16*a**3/5 + 242*a**2/25 - 314*a/25 - 8/25 = 0. -4, -1/40, 1 Let 2*c**5/5 - 122*c**4/5 + 956*c**3/5 + 32256*c**2/5 - 67392*c/5 = 0. Calculate c. -13, 0, 2, 36 What is s in -3*s**3 - 3336*s**2 + 679539*s - 676200 = 0? -1288, 1, 175 Factor 3*y**3/7 - 30207*y**2 + 422886*y/7. 3*y*(y - 70481)*(y - 2)/7 Let -j**5/2 + 261*j**4/2 - 22875*j**3/2 + 687395*j**2/2 - 609912*j - 965178 = 0. What is j? -1, 3, 86, 87 Determine i, given that 22*i**5 - 438*i**4 + 3018*i**3 - 8698*i**2 + 8688*i + 864 = 0. -1/11, 3, 4, 9 Factor -2*v**3/5 + 1638*v**2/5 + 328*v. -2*v*(v - 820)*(v + 1)/5 Suppose 2*v**5/11 + 174*v**4/11 + 754*v**3/11 - 5358*v**2/11 + 4428*v/11 = 0. Calculate v. -82, -9, 0, 1, 3 Factor -3*a**2/5 - 31362*a/5. -3*a*(a + 10454)/5 Factor 5*r**2/2 + 412665*r/2 - 412675. 5*(r - 2)*(r + 82535)/2 Find w such that -2*w**3/3 + 47608*w**2/9 - 190360*w/9 + 190336/9 = 0. 2, 23792/3 Let -5*s**2 + 119045*s - 238070 = 0. What is s? 2, 23807 Suppose -2*h**2/7 + 1592064*h/7 - 316833472512/7 = 0. Calculate h. 398016 Factor 6*y**3/7 + 3606*y**2/7 + 7188*y/7. 6*y*(y + 2)*(y + 599)/7 Factor -3*k**2/5 + 426492*k/5 - 15157952172/5. -3*(k - 71082)**2/5 Suppose w**4/10 + 353*w**3/5 - 9774*w**2/5 + 17739*w - 534357/10 = 0. What is w? -733, 9 Factor 3*m**3/4 - 53655*m**2/4 + 59982936*m - 59969523. 3*(m - 8942)**2*(m - 1)/4 Determine l, given that 5*l**3 - 3120*l**2 - 832260*l - 1652000 = 0. -200, -2, 826 Let 3*b**3 - 3978*b**2/5 - 16107*b/5 - 12114/5 = 0. Calculate b. -3, -1, 1346/5 Determine b so that -2*b**3 + 12066*b**2 - 252544*b + 240480 = 0. 1, 20, 6012 Suppose 2*b**3 + 96*b**2 - 2286*b + 5940 = 0. Calculate b. -66, 3, 15 Factor -3*j**2/2 - 64788*j - 129573/2. -3*(j + 1)*(j + 43191)/2 Let n**3/5 + 2851*n**2/5 + 28135*n + 350125 = 0. What is n? -2801, -25 Suppose 5*b**5 + 210*b**4 - 7240*b**3 - 66720*b**2 - 138880*b = 0. Calculate b. -62, -4, 0, 28 Solve -2*b**2/3 - 353462*b/3 + 353464/3 = 0. -176732, 1 Determine h, given that 2*h**2/3 + 81242*h/3 - 81244/3 = 0. -40622, 1 Factor 9*u**3/7 - 406*u**2 + 10600*u/7 + 2496/7. (u - 312)*(u - 4)*(9*u + 2)/7 Factor 2*r**3/3 + 14582*r**2/3 + 14576*r. 2*r*(r + 3)*(r + 7288)/3 Factor -x**3/4 + 36227*x**2 - 5249437205*x/4 - 5249727025/2. -(x - 72455)**2*(x + 2)/4 Factor y**3/4 + 55*y**2 + 647*y/4 - 217. (y - 1)*(y + 4)*(y + 217)/4 Factor -z**5 - 35*z**4 + 3*z**3 + 103*z**2 - 70*z. -z*(z - 1)**2*(z + 2)*(z + 35) Solve -r**2/6 - 4532*r - 30808536 = 0. -13596 Determine f so that f**5 - 26*f**4/7 - 1380*f**3/7 + 920*f**2 + 20768*f/7 + 768 = 0. -14, -2, -2/7, 8, 12 Let -2*f**2/5 - 80*f - 6222/5 = 0. Calculate f. -183, -17 What is n in -3*n**3/8 - 6855*n**2/8 + 7746*n + 17205/2 = 0? -2294, -1, 10 Factor 3*f**4/5 + 9111*f**3/5 + 6931173*f**2/5 + 20711601*f/5. 3*f*(f + 3)*(f + 1517)**2/5 What is l in -3*l**3/7 - 289881*l**2/7 - 7002727785*l/7 - 7002437907/7 = 0? -48313, -1 Suppose -2*w**5/3 - 340*w**4/3 - 4726*w**3/3 - 11828*w**2/3 - 2480*w = 0. What is w? -155, -12, -2, -1, 0 Suppose -2*q**5 - 120*q**4 + 1400*q**3 = 0. What is q? -70, 0, 10 Suppose -5*q**3 - 99590*q**2 + 996275*q - 2491000 = 0. What is q? -19928, 5 Let -122*w**3/3 + 4232*w**2/3 - 33170*w/3 + 25100 = 0. What is w? 5, 1506/61 Factor 2*m**3 - 5424*m**2 + 43264*m. 2*m*(m - 2704)*(m - 8) Determine k, given that 4*k**5 + 2868*k**4 + 410264*k**3 - 95994928*k**2 - 20617211424*k + 20712793216 = 0. -302, 1, 188 Factor 5*t**3 + 5030*t**2 + 15055*t + 10030. 5*(t + 1)*(t + 2)*(t + 1003) Suppose 3*z**3 + 12438*z**2 - 49788*z + 49800 = 0. What is z? -4150, 2 Let 14*z**5 - 7858*z**4 + 146906*z**3 - 307150*z**2 + 204944*z - 36856 = 0. What is z? 2/7, 1, 17, 542 Suppose -f**4/5 - 963*f**3/5 - 8613*f**2/5 - 5157*f - 25758/5 = 0. What is f? -954, -3 Factor q**3/2 - 415*q**2/2 + 27200*q - 1083750. (q - 170)**2*(q - 75)/2 Let -5*y**4 - 3220*y**3 + 22730*y**2 - 35780*y + 16275 = 0. What is y? -651, 1, 5 Factor -3*i**4 + 24684*i**3 - 50873628*i**2 + 405804960*i - 810820800. -3*(i - 4110)**2*(i - 4)**2 Determine w, given that 2*w**2/3 + 475488*w + 84783314304 = 0. -356616 Factor -2*o**4 - 1562*o**3 - 117774*o**2 - 3101166*o - 27556200. -2*(o + 27)**3*(o + 700) Solve 5*l**5 + 40*l**4
{ "pile_set_name": "DM Mathematics" }
Calculate prob of picking 1 x and 1 l when two letters picked without replacement from {l: 6, x: 7}. 7/13 Four letters picked without replacement from {w: 8, f: 1, i: 2, g: 7}. Give prob of picking 1 f, 1 g, and 2 w. 49/765 Two letters picked without replacement from tgqgqggq. Give prob of picking 2 g. 3/14 Calculate prob of picking 1 l and 1 r when two letters picked without replacement from {r: 3, b: 7, l: 2}. 1/11 Two letters picked without replacement from {n: 7, d: 9}. What is prob of picking 1 d and 1 n? 21/40 Four letters picked without replacement from aiaanaavhvnaija. Give prob of picking 1 v, 2 a, and 1 n. 4/65 Calculate prob of picking 3 z and 1 q when four letters picked without replacement from {z: 3, h: 1, o: 5, w: 1, q: 1, d: 2}. 1/715 Three letters picked without replacement from {v: 9, y: 2, f: 6}. What is prob of picking 1 f, 1 v, and 1 y? 27/170 Two letters picked without replacement from xxexxxebxeeeknxnxx. Give prob of picking 2 e. 10/153 What is prob of picking 2 o when two letters picked without replacement from eeeeoeeeoeoeooee? 1/12 Two letters picked without replacement from {i: 3, w: 1, s: 4, q: 2, k: 1}. Give prob of picking 1 w and 1 s. 4/55 Calculate prob of picking 1 s and 1 m when two letters picked without replacement from {s: 12, m: 7}. 28/57 Two letters picked without replacement from {h: 1, i: 1, u: 1, a: 1, m: 1}. What is prob of picking 1 u and 1 i? 1/10 Calculate prob of picking 3 e and 1 n when four letters picked without replacement from {e: 7, n: 12}. 35/323 Two letters picked without replacement from httqqrhtt. What is prob of picking 2 h? 1/36 What is prob of picking 1 x and 1 q when two letters picked without replacement from xdxsddxxqds? 4/55 Three letters picked without replacement from yybyybyyyybybbyyyy. Give prob of picking 3 b. 5/408 Two letters picked without replacement from {d: 1, i: 1, p: 1, a: 1, b: 1}. What is prob of picking 1 d and 1 p? 1/10 What is prob of picking 1 b, 1 g, and 1 m when three letters picked without replacement from {g: 1, m: 2, b: 1}? 1/2 Three letters picked without replacement from {p: 5, l: 2, r: 7, z: 3, e: 3}. Give prob of picking 1 z, 1 r, and 1 p. 7/76 Calculate prob of picking 3 j when three letters picked without replacement from {j: 15, y: 4}. 455/969 Three letters picked without replacement from {t: 9}. What is prob of picking 3 t? 1 Four letters picked without replacement from {r: 6, v: 4}. What is prob of picking 4 v? 1/210 Calculate prob of picking 1 l and 1 t when two letters picked without replacement from {a: 4, m: 1, t: 1, w: 2, l: 1, h: 3}. 1/66 Calculate prob of picking 1 z and 1 e when two letters picked without replacement from {o: 1, z: 1, r: 9, e: 1}. 1/66 What is prob of picking 1 j, 1 k, and 1 q when three letters picked without replacement from {q: 4, v: 2, j: 5, k: 2}? 20/143 Three letters picked without replacement from vjvatttjtjgajt. Give prob of picking 1 g and 2 v. 1/364 Two letters picked without replacement from kkkkkkkkkk. Give prob of picking 2 k. 1 What is prob of picking 1 e and 1 f when two letters picked without replacement from oobfibe? 1/21 Two letters picked without replacement from yspazipzpizp. Give prob of picking 1 p and 1 a. 2/33 What is prob of picking 1 w and 1 m when two letters picked without replacement from wmu? 1/3 What is prob of picking 1 t and 2 u when three letters picked without replacement from tuuf? 1/4 What is prob of picking 2 s when two letters picked without replacement from sqqqssq? 1/7 What is prob of picking 2 p when two letters picked without replacement from {o: 4, l: 2, p: 4}? 2/15 Calculate prob of picking 1 t, 1 e, and 2 u when four letters picked without replacement from yyummtyeeutmm. 4/715 What is prob of picking 2 q and 1 a when three letters picked without replacement from qaawaqay? 1/14 Two letters picked without replacement from {r: 2, k: 1, j: 2, n: 1, w: 1, e: 1}. What is prob of picking 1 k and 1 j? 1/14 What is prob of picking 1 i and 1 m when two letters picked without replacement from {e: 1, g: 3, i: 4, l: 2, m: 1, t: 1}? 2/33 Calculate prob of picking 2 y, 1 b, and 1 s when four letters picked without replacement from sbyyybsb. 9/35 Calculate prob of picking 4 d when four letters picked without replacement from cddcdddxc. 5/126 Two letters picked without replacement from {y: 1, h: 2, b: 1, m: 4}. Give prob of picking 1 h and 1 m. 2/7 What is prob of picking 2 v, 1 p, and 1 c when four letters picked without replacement from oavaocvocopaoo? 2/1001 Three letters picked without replacement from skqaqkaaa. Give prob of picking 1 s, 1 a, and 1 k. 2/21 Calculate prob of picking 1 m, 1 r, and 1 x when three letters picked without replacement from mxrmammmamrrkkarmxaa. 14/285 What is prob of picking 1 p, 1 a, and 1 e when three letters picked without replacement from {e: 1, a: 1, p: 1, b: 1, r: 1}? 1/10 Calculate prob of picking 4 f when four letters picked without replacement from ffff. 1 Calculate prob of picking 1 j and 1 x when two letters picked without replacement from ljljzvxvjvlvlzvvj. 1/34 What is prob of picking 1 f and 1 n when two letters picked without replacement from wfnpppwph? 1/36 Calculate prob of picking 1 r, 1 l, and 1 i when three letters picked without replacement from {w: 1, l: 6, i: 2, r: 6, u: 2}. 9/85 Calculate prob of picking 2 c and 1 h when three letters picked without replacement from {c: 3, k: 2, h: 6, a: 1, u: 6}. 3/136 Two letters picked without replacement from {w: 6, z: 4, m: 2, k: 6}. What is prob of picking 1 k and 1 w? 4/17 What is prob of picking 2 f and 2 m when four letters picked without replacement from {z: 6, v: 3, f: 2, u: 2, m: 3}? 3/1820 Two letters picked without replacement from qvevenvvivve. What is prob of picking 2 e? 1/22 Three letters picked without replacement from xgggwwfxwgigwxv. What is prob of picking 1 g, 1 f, and 1 v? 1/91 Two letters picked without replacement from {h: 5, n: 1, j: 1, t: 2, i: 3}. Give prob of picking 1 i and 1 n. 1/22 Three letters picked without replacement from {d: 3, h: 1, g: 3}. What is prob of picking 2 d and 1 h? 3/35 Four letters picked without replacement from roooprrophpphpo. What is prob of picking 1 p, 1 r, and 2 o? 10/91 What is prob of picking 2 h when two letters picked without replacement from {l: 2, h: 1, v: 2}? 0 Three letters picked without replacement from qvqwwhwbqhvbwwhvwq. What is prob of picking 2 w and 1 h? 15/272 Calculate prob of picking 1 a, 1 q, and 1 n when three letters picked without replacement from nanennnaq. 5/42 Two letters picked without replacement from {o: 1, m: 2, l: 2, u: 12, i: 2}. What is prob of picking 1 l and 1 o? 2/171 Three letters picked without replacement from rollorll. What is prob of picking 2 o and 1 r? 1/28 Two letters picked without replacement from nnnznnvvzzvnn. Give prob of picking 1 v and 1 n. 7/26 Four letters picked without replacement from {n: 1, x: 2, v: 6, s: 1, b: 2}. Give prob of picking 4 v. 1/33 Calculate prob of picking 2 h and 2 n when four letters picked without replacement from {b: 4, n: 4, h: 2, z: 1}. 1/55 Four letters picked without replacement from jrrjrajj. What is prob of picking 3 r and 1 a? 1/70 Three letters picked without replacement from zmzglllmvmmrgrv. What is prob of picking 1 m, 1 z, and 1 g? 16/455 What is prob of picking 1 c and 1 v when two letters picked without replacement from cxvccxxcccccccc? 11/105 What is prob of picking 2 d and 2 u when four letters picked without replacement from {z: 5, q: 3, d: 2, t: 3, u: 3}? 3/1820 Four letters picked without replacement from nnjnnnnnnnnjnjjnnn. What is prob of picking 3 j and 1 n? 14/765 Three letters picked without replacement from ybybdduuhdwbbdwwu. Give prob of picking 1 y, 1 w, and 1 b. 3/85 Three letters picked without replacement from ssnsminsi. What is prob of picking 1 m and 2 s? 1/14 Calculate prob of picking 2 o when two letters picked without replacement from ommonmmmmmnmommr. 1/40 Calculate prob of picking 1 i and 1 l when two letters picked without replacement from glclttiggllclcillc. 14/153 Four letters picked without replacement from {f: 2, n: 5}. What is prob of picking 3 n and 1 f? 4/7 Two letters picked without replacement from xxxpxpxxpxxxxpapppx. What i
{ "pile_set_name": "DM Mathematics" }
ve 33 - 13 = 5*u for u. 4 Solve 13*o = 3*o + 20 for o. 2 Solve 8*c + 21 = -35 for c. -7 Solve 44 = -1277*y + 1288*y for y. 4 Solve 0 = -26*b + 10*b + 48 for b. 3 Solve 0 = -20*q + 693 - 493 for q. 10 Solve -62*k - 40 = -66*k for k. 10 Solve 117 = 172*u - 159*u for u. 9 Solve 0 = -8*d + 13*d + 10 for d. -2 Solve -4*g - 32 = -16 for g. -4 Solve 47*y = -3*y - 250 for y. -5 Solve 14*i + 36 = -20 for i. -4 Solve -18*s = 15*s + 165 for s. -5 Solve -7*z - 5 = -8*z for z. 5 Solve -112 = 229*m - 215*m for m. -8 Solve -4*q = 7 + 9 for q. -4 Solve 31*x + 4 = 29*x for x. -2 Solve 0 = -5*x + 6*x + 2 for x. -2 Solve -3042*s + 3043*s = 7 for s. 7 Solve 113*s = 94*s - 57 for s. -3 Solve -8*p = -9*p + 5 for p. 5 Solve -78 = 7*m + 19*m for m. -3 Solve 42*d - 20 = 37*d for d. 4 Solve 0 = 144*r - 132*r + 24 for r. -2 Solve 8*z - 281 + 233 = 0 for z. 6 Solve -91*o = -97*o - 12 for o. -2 Solve -9*f = -3*f - 6 for f. 1 Solve 30*z = 31*z + 3 for z. -3 Solve -8 = -47*h + 49*h for h. -4 Solve 7*c = -8 + 1 for c. -1 Solve 7*i = -4 - 31 for i. -5 Solve -17*h = -29*h for h. 0 Solve -5 = 14*b + 9 for b. -1 Solve -3*p - 22*p + 175 = 0 for p. 7 Solve k + 1 = -1 for k. -2 Solve -v - 2*v = 12 for v. -4 Solve -i = -5*i + 20 for i. 5 Solve 13*p - 30 = 8*p for p. 6 Solve 0 = -7*f + 24 - 52 for f. -4 Solve -7 = -10*a + 3*a for a. 1 Solve 32 = 3*v + 23 for v. 3 Solve 156*k - 166*k = -80 for k. 8 Solve -27 = -18*j - 9 for j. 1 Solve -7*o = 3*o - 30 for o. 3 Solve 0 = 15*q - 49 + 4 for q. 3 Solve 19*r - 26*r + 42 = 0 for r. 6 Solve 0 = 19*c - 3*c for c. 0 Solve 0 = -5*k - 7 + 2 for k. -1 Solve -128 = -48*j + 16*j for j. 4 Solve 0 = -0*o - 7*o + 35 for o. 5 Solve -17*h + 52 = -33 for h. 5 Solve -126*i - 90 = -36*i for i. -1 Solve 594*l + 1 = 593*l for l. -1 Solve 73 = 20*q - 7 for q. 4 Solve 3 + 27 = 15*z for z. 2 Solve 5*o + 15 = -5 for o. -4 Solve -3*x = -5*x + 2 for x. 1 Solve 10 = 2*f - 0 for f. 5 Solve -6*t = 38 - 14 for t. -4 Solve 7*a - 16*a = 54 for a. -6 Solve -9*t + 14 + 13 = 0 for t. 3 Solve 8 = 2*d + 14 for d. -3 Solve 58*u - 50*u - 56 = 0 for u. 7 Solve 5*g - 1 = 24 for g. 5 Solve -9*b + 1036 = 982 for b. 6 Solve 0 = 28*k + 34*k + 186 for k. -3 Solve -467 + 283 = 23*z for z. -8 Solve 0 = 11*w + 2 - 35 for w. 3 Solve 6 = -5*q - 14 for q. -4 Solve -569 = -11*o - 547 for o. 2 Solve 71 - 127 = -7*b for b. 8 Solve 13*i - i = -36 for i. -3 Solve -64 = -17*v + 4 for v. 4 Solve 0 = 10*a + 2*a + 60 for a. -5 Solve -g + 3*g = 8 for g. 4 Solve -4*u - 8 = -20 for u. 3 Solve 0 = -17*r + 420 - 318 for r. 6 Solve 6*k = 14*k + 48 for k. -6 Solve -30*i + 11 = -41*i for i. -1 Solve 45 = -7*k - 2*k for k. -5 Solve 6*x + x - 21 = 0 for x. 3 Solve -35 = -162*d + 155*d for d. 5 Solve 12*b = -2*b + 98 for b. 7 Solve 40*o + 287 - 167 = 0 for o. -3 Solve -20 = -26*y + 136 for y. 6 Solve -9*z - 5 + 14 = 0 for z. 1 Solve 3*a = -264 + 267 for a. 1 Solve 10*s - 49 - 1 = 0 for s. 5 Solve 102*n = 101*n - 1 for n. -1 Solve -4*v + 76 = -23*v for v. -4 Solve 13 = 19*k - 6*k for k. 1 Solve -23*s = -13*s - 30 for s. 3 Solve -13*c = -8 - 57 for c. 5 Solve 0 = 14*l - 12 - 16 for l. 2 Solve 3 = -13*s + 16*s for s. 1 Solve -59*i + 27 - 86 = 0 for i. -1 Solve 19 - 3 = -4*d for d. -4 Solve -7*q - 9 = 26 for q. -5 Solve 0 = 24*t - 12*t + 36 for t. -3 Solve -56*t + 177 = 3*t for t. 3 Solve 0 = -0*w + 4*w - 4 for w. 1 Solve -169 - 125 = -42*f for f. 7 Solve 0 = -3*y + 12 - 9 for y. 1 Solve 2 = 37*t - 39*t for t. -1 Solve 0 = -p + 6 - 10 for p. -4 Solve 12*d - 32 + 8 = 0 for d. 2 Solve -17*k + 2 - 70 = 0 for k. -4 Solve 4*w - 16 = 8*w for w. -4 Solve 0 = 43*r + 28*r + 639 for r. -9 Solve 72*d = 63*d - 27 for d. -3 Solve -85*y + 66*y + 152 = 0 for y. 8 Solve 42*y + 88 = 20*y for y. -4 Solve 18*i = 35*i - 51 for i. 3 Solve -12 = 5*o - 7 for o. -1 Solve 14 = -3331*h + 3333*h for h. 7 Solve 272 = -41*v + 7*v for v. -8 Solve -3*m + 9*m = m for m. 0 Solve 5*t - 44 = -17*t for t. 2 Solve -15 = 14*r - 1 for r. -1 Solve 8*f - 3*f - 25 = 0 for f. 5 Solve 40 = 17*w - 96 for w. 8 Solve -183 + 198 = -3*k for k. -5 Solve -12*n - 17*n - 29 = 0 for n. -1 Solve 0 = -131*z + 157*z + 104 for z. -4 Solve 28 = -9*g - 17 for g. -5 Solve g - 13 + 14 = 0 for g. -1 Solve 76*i + 42 = 83*i for i. 6 Solve -6*k - 10 = -4*k for k. -5 Solve -6*t + 3 = -9 for t. 2 Solve 0 = -14*i + 6*i for i. 0 Solve 22*p = 14*p + 24 for p. 3 Solve 7*l - 3*l - 12 = 0 for l. 3 Solve 11 = 7*h - 10 for h. 3 Solve -16*w - 196 = -44*w for w. 7 Solve -56*r - 25 = -61*r for r. 5 Solve -42*c - 78 = -68*c for c. 3 Solve 1 = 5*j - 9 for j. 2 Solve -36 = 6821*s - 6830*s for s. 4 Solve 0 = -79*h + 66*h + 65 for h. 5 Solve 13*z - z = -24 for z. -2 Solve 4*s - 10 = -18 for s. -2 Solve -22 + 19 = -r for r. 3 Solve -4*z = -7*z - 3 for z. -1 Solve -6*v = -11*v for v. 0 Solve 155 = 34*m - 151 for m. 9 Solve -5*p - 11 = 4 for p. -3 Solve 23*z = -180 - 50 for z. -10 Solve 0 = -y - 14 + 9 for y. -5 Solve -7*u = -29*u + 132 for u. 6 Solve 70 = 3*a - 17*a for a. -5 Solve 9*a - 18 = 36 for a. 6 Solve 0 = -21*j - 2 + 23 for j. 1 Solve -15*y + y + 70 = 0 for y. 5 Solve 2 = 12*o + 38 for o. -3 Solve 14*y + 298 = 368 for y. 5 Solve -10*u - 90 = -25*u for u. 6 Solve -7*b + 5 = 33 for b. -4 Solve 0 = 10*v - 16*v + 18 for v. 3 Solve -476*q + 473*q = -30 for q. 10 Solve 3*d = -14 + 29 for d. 5 Solve 4*j + 4*j = 2*j for j. 0 Solve 44*p + 28 = 40*p for p. -7 Solve -10*r - r = 33 for r. -3 Solve 0 = -10*c + 11 - 11 for c. 0 Solve 0 = -4*x + 11 + 5 for x. 4 Solve 4*b - 4 = -16 for b. -3 Solve -28*z - 621 = -537 for z. -3 Solve -26 = -7*w - 19 for w. 1 Solve 2*f = 4*f - 12 for f. 6 Solve 0 = 6*g - 422 + 458 for g. -6 Solve -19*z = 18*z + 74 for z. -2 Solve 14*f + 12*f = 78 for f. 3 Solve -10 = -2*h - 8 for h. 1 Solve 20*i - 66 = -2*i for i. 3 Solve -35 + 30 = -i for i. 5 Solve 1125*v = 1107*v for v. 0 Solve 385*u = 378*u for u. 0 Solve -200 = 2*p - 212 for p. 6 Solve 11*s - 21*s + 50 = 0 for s. 5 Solve 7*j - 137 + 186 = 0 for j. -7 Solve -93*n + 60*n = -363 for n. 11 Solve 6*z = 16 + 2 for z. 3 Solve 94*n - 95*n = 2 for n. -2 Solve 0 = 21*h - 23*h - 8 for h. -4 Solve -22 + 13 = 3*p for p. -3 Solve 158*t = 160*t - 14 for t. 7 Solve 0 = -28*g + 4*g - 72 for g. -3 Solve -22*q + 64 = -24 for q. 4 Solve 0 = 93*n - 143*n + 350 for n. 7 Solve -5*m = 6 + 4 for m. -2 Solve -2*l + 104*l = -510 for l. -5 Solve -a - 42 = -47 for a. 5 Solve 0 = -22*y + y for y. 0 Solve 65*f = 10*f - 55 for f. -1 Solve g + 7*g = -8 for g. -1 Solve -18*j + 2 = 2 for j. 0 Solve -13*w - 101 + 36 = 0 for w. -5 Solve 0 = 27*q + 27 - 0 for q. -1 Solve -5*x - 13 = -23 for x. 2 Solve 20 = 3*s + s for s. 5 Solve -30*f = 9*f for f. 0 Solve 43 = -4*g + 23 for g. -5 Solve 0 = -2*p - 85 + 79 for p. -3 Solve 6*t = 4*t - 14 for t. -7 Solve 8*x - 22*x - 70 = 0 for x. -5 Solve 100*j + 75 = 115*j for j. 5 Solve 250*j = 246*j + 4 for j. 1 Solve -7*q = -0*q for q. 0 Solve -33*f + 98 = 32 for f. 2 Solve 0 = 8*p + 14*p - 154 for p. 7 Solve -7 = -2*x - 9 for x. -1 Solve -2*i + 288 = 296 for i. -4 Solve 0 = 4*y - 2*y - 8 for y. 4 Solve 27*g = 38 + 70 for g. 4 Solve -24*z + 22 = -35*z for z. -2 Solve 11 - 11 = -2*j for j. 0 Solve 2*j + 47 = 45 for j. -1 Solve 2*v = 8*v - 30 for v. 5 Solve 0 = 7*t - 43 + 50 for t. -1 Solve 12*a = 7*a - 15 for a. -3 Solve 722*q - 725*q - 3 = 0 for q. -1 Solve 126*h = 120*h + 6 for h. 1 Solve 28 = 28*z - 35*z for z. -4 Solve 5*z - 9 - 26 = 0 for z. 7 Solve 0 = 122*b - 129*b + 21 for b. 3 Solve 32*r - 49 = 25*r for r. 7 Solve -41*k = 25 + 57 for k. -2 Solve -40*j = 84*j - 7*j for j. 0 Solve 30 = 8*d + 7*d for d. 2 Solve 0 = -21*j - 211 + 127 for j. -4 Solve 8*b + b = 2*b for b. 0 Solve -47 = -4*v - 55 for v. -2 Solve -47*v = 92 + 49 for v. -3 Solve 15 - 21 = -6*f for f. 1 Solve -15*k = 15 - 0 for k. -1 Solve -12 = -5*r + 9*r for r. -3 Solve 51*t + 33 + 171 = 0 for t. -4 Solve 0 = 97*r - 94*r - 9 for r. 3 Solve 15*n = 49 - 154 for n. -7 Solve -47*t + 17 = -77 for t. 2 Solve 0 = 38*k - 41*k + 3 for k. 1 Solve -46 = 32*s + 274 for s. -10 Solve -2*x = 5 - 15 for x. 5 Solve 5*d + 6*d = -22 for d. -2 Solve 418*w - 428*w = 60 for w. -6 Solve -38*f = -33*f for f. 0 Solve -52*g - 3 = -55*g for g. 1 Solve 0 = -34*v + 24*v - 20 for v. -2 Solve -2*g - 35 = 5*g for g. -5 Solve 5*s - 5 = -30 for s. -5 Solve 4*m - 3622 = -3638 for m. -4
{ "pile_set_name": "DM Mathematics" }
(d) -27/5 (e) -0.3 (f) 1 (g) -0.11 f Which is the third smallest value? (a) 2/13 (b) 27474/4213 (c) -2/13 b What is the sixth smallest value in 0.0564, 0.1, 5, 2.7, -1, -0.3? 5 What is the fifth smallest value in 22, 0, 6266, -2, 5, 3? 22 Which is the second biggest value? (a) -5 (b) 0.01432 (c) 0.12 (d) 6 c Which is the third biggest value? (a) 1 (b) 28 (c) 3 (d) -2/27 a What is the seventh smallest value in 0, 0.3, -2/187, 0.07, 37, 1, 3/5? 37 Which is the third biggest value? (a) 1388.13 (b) -3 (c) 2/41 (d) -2 d What is the smallest value in -2, -134, 5/11, -0.5, 1, 28? -134 What is the fifth biggest value in -9, 0.5, 2/9, 14, 3/2, -4? -4 Which is the fourth smallest value? (a) 2 (b) -2039 (c) 0 (d) 1 (e) -0.2 (f) 4 (g) 3/13 g Which is the third biggest value? (a) 2/5 (b) -1/9 (c) -0.8 (d) -1/5 (e) 0.127844 (f) 2 e Which is the second smallest value? (a) -2 (b) 4/333 (c) 10/9 (d) 1 (e) 20 b Which is the fifth biggest value? (a) 3/5 (b) 3 (c) 0.1 (d) -2 (e) -156526/7 (f) 4 d What is the third smallest value in -1/15, -3, -331.4? -1/15 What is the fourth smallest value in 2/11, -0.039, 7.667, -88, 0.5? 0.5 What is the fifth smallest value in -1/3, -4, -13/2, 3/4, 2, 7/11? 3/4 What is the third smallest value in 1/99, -2/19, 0.02532, -1? 1/99 What is the biggest value in -2.6, 8/2023, -0.1? 8/2023 What is the biggest value in -2, -8, -0.0288444? -0.0288444 What is the fourth biggest value in 3/7, 68, -0.1, 4, 0, 20? 3/7 What is the smallest value in -1/2, 7, 0.2, 0.7, -0.2? -1/2 Which is the fourth biggest value? (a) 5 (b) 0.4 (c) -4 (d) -9.0905815 d What is the second smallest value in -4, -0.06, -3, -1.1, -17, -1/447? -4 Which is the second smallest value? (a) 3 (b) -555 (c) 7.2 (d) 67 a What is the third smallest value in -3, -0.4, 19.2, 7/5, 10/23, -1/3, -2/9? -1/3 Which is the second smallest value? (a) 75.15555 (b) -53 (c) -2 c What is the third biggest value in 42, -0.04, -1/51, 4/5, -1, -22? -1/51 What is the fifth biggest value in -1, 13.5, -1393, -4/3, -0.3? -1393 Which is the biggest value? (a) 1 (b) -5 (c) 312 (d) 8672 (e) 3 d What is the fourth smallest value in -973930, -0.06, 0.1, 0, 2, 4? 0.1 What is the third smallest value in -728466, 0.08, -0.14? 0.08 What is the third smallest value in 2.64917, 0, -11, -2? 0 What is the smallest value in -4681, -1, -0.5, -4/3, -9/2? -4681 Which is the third smallest value? (a) -3/7 (b) -2/7 (c) -490 (d) -117 (e) 0.4 a What is the third smallest value in 0, -9, -2, -2/149, 2/7, 2/29? -2/149 Which is the fourth biggest value? (a) -0.1 (b) -0.1627 (c) 0.1 (d) 2/19 (e) -2/95 (f) 3/7 (g) 2 c Which is the biggest value? (a) 539 (b) 0.1 (c) 27152 c Which is the third smallest value? (a) -4291 (b) 0.3 (c) -0.4 (d) 179 b Which is the sixth biggest value? (a) 1/4 (b) -4 (c) 48 (d) -1/619 (e) 1/2 (f) -1 (g) -5 b Which is the sixth smallest value? (a) 0.5 (b) 4/11 (c) -2 (d) -4 (e) 60148 (f) 6 e Which is the fourth smallest value? (a) -737 (b) 2/17 (c) 2/15 (d) 18 d What is the second smallest value in -2, 1/6, -87083, -1/4, 2/5, -5/4, 3? -2 Which is the fifth smallest value? (a) -149/6 (b) 1.6 (c) 5 (d) 1 (e) 3 c What is the third smallest value in -4, -0.06, -8001732? -0.06 What is the third biggest value in -1/7, 55855, -4, 3, -5, 0.2? 0.2 Which is the fifth biggest value? (a) -4/11 (b) 2/95 (c) -12 (d) -0.6 (e) -19 (f) -0.3 c What is the smallest value in -190985, 0.1, -0.3, 4, -1? -190985 Which is the biggest value? (a) -833.6 (b) -1/7 (c) 0.651 c What is the seventh biggest value in -12.6, 0, -0.4, 1/2, -1/3, -1, 4/5? -12.6 Which is the seventh smallest value? (a) -5 (b) -0.165 (c) 7/5 (d) 0.5 (e) 8/5 (f) 43 (g) -2/13 f Which is the sixth biggest value? (a) -6/5 (b) -4/5 (c) 2/11 (d) 306 (e) 3 (f) 10/7 (g) -0.05 b What is the second smallest value in -351, -258, -3, -1.1? -258 What is the sixth smallest value in -1, -3/16, 2/7, 4695, -2/57, 0.2? 4695 What is the second smallest value in -3.2, 13.52, 15, 5, 2? 2 Which is the third biggest value? (a) 8 (b) 4 (c) -5 (d) -244330/3 c Which is the smallest value? (a) 5 (b) 788 (c) 1/2 (d) 0.2 (e) 56.31 d What is the third biggest value in -14, -1192386/25, -4? -1192386/25 What is the third biggest value in 47627, -3, 27, 0.01, -0.5? 0.01 Which is the fifth smallest value? (a) -0.2 (b) -0.1 (c) 109475.5 (d) 2 (e) 0.5 (f) 1 d Which is the third biggest value? (a) -2.3 (b) 0.06 (c) 2/5 (d) -6 (e) 4.8 (f) 4 (g) -0.05 c What is the biggest value in 1409471, -1.19, 0.4? 1409471 Which is the biggest value? (a) 2/17 (b) 9 (c) 4 (d) -10.8 (e) -0.4 b Which is the third smallest value? (a) 0 (b) 0.02181 (c) 7/4 (d) 0.001 b Which is the sixth biggest value? (a) 0 (b) 2 (c) -1.2 (d) -253 (e) 0.01 (f) -3/7 d Which is the fourth biggest value? (a) 2/5 (b) 15 (c) -0.035 (d) 4/7 (e) 3 (f) -5 a Which is the biggest value? (a) -8 (b) 4 (c) 951/25 c What is the fifth biggest value in 5/3, 3415/7, 4, 0.7, 56? 0.7 Which is the smallest value? (a) -5 (b) -475 (c) 0.1 (d) -3/2 (e) 2/155 (f) 4 b Which is the fifth smallest value? (a) -4 (b) 13 (c) 1 (d) 2/27 (e) 4/3 (f) -2/119 (g) -1.4 c Which is the sixth biggest value? (a) 0.4 (b) -5 (c) -1.5 (d) -103/2 (e) -0.028 (f) 3 d What is the third biggest value in 0.078, -14211, 7? -14211 What is the second biggest value in 75, -351, -0.2, 3, 1/8, -5? 3 Which is the second smallest value? (a) 347.51 (b) -0.3 (c) 0.1 c Which is the third biggest value? (a) -0.01 (b) -4/7 (c) -0.0875678 b What is the smallest value in 0.175, -581, 1/7, 3? -581 What is the fifth smallest value in -2, 5, -1561, 38/5, 0.124? 38/5 What is the smallest value in -1439968, -2/7, -6? -1439968 Which is the smallest value? (a) 23 (b) 69/4 (c) 0.5 (d) 0.2 (e) 20 (f) -2 f What is the third smallest value in -3/14, -86, -521, 0? -3/14 Which is the second biggest value? (a) -0.637 (b) 0.0183 (c) 4 (d) -2.2 b Which is the third biggest value? (a) -3/8 (b) -4 (c) 3/5 (d) -0.2 (e) -164 a What is the third smallest value in 3/5, -0.5, -2, -5, 1/5, -2504/5, -3/8? -2 What is the biggest value in -1/9, -1824, 2, -0.5, -4, -0.28? 2 What is the biggest value in 1024, 18, -18/7? 1024 Which is the fourth biggest value? (a) 45 (b) 16913 (c) 2/5 (d) 2/23 d Which is the second smallest value? (a) 84/5 (b) 1 (c) 40/6393 b Which is the fourth biggest value? (a) -8/3 (b) 0.2 (c) 1028719 (d) 2/5 a Which is the fourth smallest value? (a) -0.5 (b) 0.6 (c) 0 (d) 4 (e) 0.08563 (f) 2 b Which is the biggest value? (a) 405 (b) -5 (c) 29621 (d) -0.03 c Which is the fifth smallest value? (a) -5 (b) 3 (c) -2/5 (d) 5 (e) 195 (f) -5/3 (g) -84 b What is the second smallest value in -1, -39/5, 0.1, -13, -5, 0.3? -39/5 Which is the third smallest value? (a) 2/7 (b) 447386 (c) -4 b Which is the sixth smallest value? (a) -63 (b) -0.4 (c) 0.3 (d) -95 (e) -0.09 (f) 1/5 c What is the second smallest value in -0.025, -0.03, 0.5, 1.1, 124? -0.025 Which is the third smallest value? (a) 3 (b) -73 (c) -5781159 a What is the fifth biggest value in 3/5, -1/14, -2/17, -0.066, -2/263? -2/17 What is the fourth biggest value in 39, 22, -2, 3, 0.5, -2/31? 0.5 Which is the fifth smallest value? (a) 1 (b) -31.6 (c) 0.1 (d) 142 (e) 5 (f) 2 e What is the third smallest value in -45.8, 1, 335, -1, 5/4? 1 What is the fifth biggest value in 9, 1.4, 38.2, 2/21, -0.5? -0.5 What is the fifth biggest value in -1/4, 2/9, 21/19, 105, 10/13? -1/4 Which is the third biggest value? (a) 0.3 (b) 22 (c) -8/7 (d) -246 c Which is the fourth biggest value? (a) -5 (b) -2/7 (c) -2856 (d) -6644 d Which is the seventh smallest value? (a) 3.9 (b) 2/11 (c) -0.011 (d) 1 (e) -5/6 (f) -114 (g) 7/2 a Which is the biggest value? (a) 8 (b) 0 (c) 222.8 (d) 2/7 (e) -2/11 (f) -4 (g) 1 c Which is the third smallest value? (a) -1/2 (b) -15/8 (c) -213 (d) -2/11 (e) -0.2 (f) 0.5 (g) -3/2 g Which is the biggest value? (a) 13/5 (b) 0.2 (c) 0.5 (d) 8.4 (e) -10 (f) 1 (g) -4 d What is the third smallest value in -175, 11, 2221, -5? 11 What is the smallest value in 6475
{ "pile_set_name": "DM Mathematics" }
tors of 1684. 2, 421 List the prime factors of 594. 2, 3, 11 List the prime factors of 1099. 7, 157 List the prime factors of 87690. 2, 3, 5, 37, 79 What are the prime factors of 6273? 3, 17, 41 List the prime factors of 2001. 3, 23, 29 What are the prime factors of 28523? 11, 2593 What are the prime factors of 7308? 2, 3, 7, 29 What are the prime factors of 70879? 70879 List the prime factors of 229. 229 What are the prime factors of 3934? 2, 7, 281 List the prime factors of 3585. 3, 5, 239 List the prime factors of 1151. 1151 List the prime factors of 2499. 3, 7, 17 What are the prime factors of 1273? 19, 67 List the prime factors of 34322. 2, 131 What are the prime factors of 1417? 13, 109 What are the prime factors of 14079? 3, 13, 19 List the prime factors of 4899. 3, 23, 71 What are the prime factors of 17470? 2, 5, 1747 What are the prime factors of 1349? 19, 71 What are the prime factors of 1760? 2, 5, 11 List the prime factors of 19648. 2, 307 What are the prime factors of 4012? 2, 17, 59 List the prime factors of 1077. 3, 359 List the prime factors of 654. 2, 3, 109 List the prime factors of 999. 3, 37 What are the prime factors of 190? 2, 5, 19 List the prime factors of 46780. 2, 5, 2339 List the prime factors of 55370. 2, 5, 7, 113 What are the prime factors of 108? 2, 3 What are the prime factors of 5828? 2, 31, 47 What are the prime factors of 8057? 7, 1151 List the prime factors of 4974. 2, 3, 829 What are the prime factors of 943? 23, 41 What are the prime factors of 3264? 2, 3, 17 What are the prime factors of 455? 5, 7, 13 What are the prime factors of 1380? 2, 3, 5, 23 List the prime factors of 3707. 11, 337 List the prime factors of 1008. 2, 3, 7 List the prime factors of 1208. 2, 151 List the prime factors of 41839. 7, 43, 139 List the prime factors of 554. 2, 277 What are the prime factors of 13073? 17, 769 List the prime factors of 65133. 3, 7237 What are the prime factors of 22313? 53, 421 List the prime factors of 75774. 2, 3, 73, 173 What are the prime factors of 1533? 3, 7, 73 List the prime factors of 758. 2, 379 List the prime factors of 15194. 2, 71, 107 List the prime factors of 17282. 2, 8641 List the prime factors of 134. 2, 67 List the prime factors of 2469. 3, 823 What are the prime factors of 24834? 2, 3, 4139 List the prime factors of 5320. 2, 5, 7, 19 What are the prime factors of 23760? 2, 3, 5, 11 What are the prime factors of 23730? 2, 3, 5, 7, 113 List the prime factors of 34714. 2, 17, 1021 List the prime factors of 27521. 13, 29, 73 List the prime factors of 62344. 2, 7793 What are the prime factors of 52314? 2, 3, 8719 What are the prime factors of 3469? 3469 What are the prime factors of 4062? 2, 3, 677 List the prime factors of 3395. 5, 7, 97 What are the prime factors of 837? 3, 31 List the prime factors of 1650. 2, 3, 5, 11 What are the prime factors of 7983? 3, 887 What are the prime factors of 2731? 2731 List the prime factors of 3771. 3, 419 List the prime factors of 91. 7, 13 What are the prime factors of 21090? 2, 3, 5, 19, 37 List the prime factors of 2202. 2, 3, 367 List the prime factors of 679. 7, 97 List the prime factors of 13233. 3, 11, 401 What are the prime factors of 9536? 2, 149 List the prime factors of 1457. 31, 47 List the prime factors of 1768. 2, 13, 17 List the prime factors of 237. 3, 79 List the prime factors of 213. 3, 71 List the prime factors of 2156. 2, 7, 11 What are the prime factors of 3777? 3, 1259 List the prime factors of 27857. 89, 313 What are the prime factors of 3891? 3, 1297 List the prime factors of 15687. 3, 7, 83 What are the prime factors of 303? 3, 101 What are the prime factors of 59770? 2, 5, 43, 139 What are the prime factors of 59041? 17, 23, 151 What are the prime factors of 19128? 2, 3, 797 What are the prime factors of 496? 2, 31 What are the prime factors of 1092? 2, 3, 7, 13 What are the prime factors of 1096? 2, 137 List the prime factors of 52806. 2, 3, 13, 677 What are the prime factors of 1305? 3, 5, 29 List the prime factors of 4292. 2, 29, 37 List the prime factors of 4496. 2, 281 List the prime factors of 1632. 2, 3, 17 List the prime factors of 797. 797 What are the prime factors of 1134? 2, 3, 7 What are the prime factors of 15893? 23, 691 What are the prime factors of 2039? 2039 List the prime factors of 153. 3, 17 List the prime factors of 23750. 2, 5, 19 What are the prime factors of 6838? 2, 13, 263 What are the prime factors of 6059? 73, 83 List the prime factors of 641. 641 List the prime factors of 1095. 3, 5, 73 What are the prime factors of 45264? 2, 3, 23, 41 What are the prime factors of 1216? 2, 19 What are the prime factors of 6797? 7, 971 List the prime factors of 2169. 3, 241 List the prime factors of 65094. 2, 3, 19, 571 What are the prime factors of 12469? 37, 337 What are the prime factors of 6101? 6101 What are the prime factors of 412? 2, 103 What are the prime factors of 12699? 3, 17, 83 What are the prime factors of 3678? 2, 3, 613 What are the prime factors of 696? 2, 3, 29 List the prime factors of 786. 2, 3, 131 What are the prime factors of 12017? 61, 197 List the prime factors of 571. 571 What are the prime factors of 149468? 2, 11, 43, 79 List the prime factors of 9732. 2, 3, 811 What are the prime factors of 3666? 2, 3, 13, 47 What are the prime factors of 1450? 2, 5, 29 List the prime factors of 20. 2, 5 What are the prime factors of 251? 251 What are the prime factors of 13400? 2, 5, 67 What are the prime factors of 21229? 13, 23, 71 What are the prime factors of 2635? 5, 17, 31 List the prime factors of 1229. 1229 List the prime factors of 11008. 2, 43 What are the prime factors of 2014? 2, 19, 53 List the prime factors of 107. 107 What are the prime factors of 687? 3, 229 What are the prime factors of 5532? 2, 3, 461 List the prime factors of 3639. 3, 1213 List the prime factors of 309. 3, 103 What are the prime factors of 43300? 2, 5, 433 What are the prime factors of 27371? 101, 271 List the prime factors of 7287. 3, 7, 347 List the prime factors of 5692. 2, 1423 List the prime factors of 2361. 3, 787 List the prime factors of 18348. 2, 3, 11, 139 List the prime factors of 7803. 3, 17 What are the prime factors of 15725? 5, 17, 37 List the prime factors of 76831. 76831 What are the prime factors of 450? 2, 3, 5 List the prime factors of 191. 191 List the prime factors of 551. 19, 29 What are the prime factors of 305? 5, 61 List the prime factors of 9787. 9787 List the prime factors of 35502. 2, 3, 61, 97 List the prime factors of 47817. 3, 7, 11, 23 What are the prime factors of 129552? 2, 3, 2699 List the prime factors of 33853. 97, 349 List the prime factors of 454. 2, 227 What are the prime factors of 6080? 2, 5, 19 List the prime factors of 558. 2, 3, 31 List the prime factors of 2082. 2, 3, 347 What are the prime factors of 86830? 2, 5, 19, 457 What are the prime factors of 6514? 2, 3257 List the prime factors of 12112. 2, 757 List the prime factors of 8571. 3, 2857 What are the prime factors of 152189? 152189 What are the prime factors of 1006? 2, 503 What are the prime factors of 1179? 3, 131 List the prime factors of 13110. 2, 3, 5, 19, 23 List the prime factors of 30188. 2, 7547 List the prime factors of 475. 5, 19 List the prime factors of 40790. 2, 5, 4079 What are the prime factors of 17052? 2, 3, 7, 29 List the prime factors of 99917. 41, 2437 What are the prime factors of 74068? 2, 18517 What are the prime factors of 29845? 5, 47, 127 What are the prime factors of 1044? 2, 3, 29 What are the prime factors of 7510? 2, 5, 751 What are the prime factors of 38177? 38177 What are the prime factors of 9874? 2, 4937 List the prime factors of 35759. 35759 What are the prime factors of 637? 7, 13 What are the prime factors of 11293? 23, 491 List the prime factors of 137020. 2, 5, 13, 17, 31 What are the prime factors of 12003? 3, 4001 List the prime factors of 3127. 53, 59 What are the prime factors of 52862? 2, 26431 What are the prime factors of 69077? 67, 1031 List the prime factors of 2715. 3, 5, 181 What are the prime factors of 7606? 2, 3803 List the prime factors of 6434. 2, 3217 List the prime factors of 16590. 2, 3, 5, 7, 79 List the prime factors of 2943. 3, 109 List the prime fac
{ "pile_set_name": "DM Mathematics" }
True Let b(h) = 9*h**2 - 61*h + 14. Is 61 a factor of b(16)? True Let h(w) = 29*w**3 - 12 + w - 5 - 10*w**3 - 17*w**3 - 10*w**2. Is h(7) a multiple of 39? False Is 14 a factor of ((-6)/9 - 1/(-6))*-514? False Let z = 708 - 426. Suppose 4*w = w + z. Does 19 divide w? False Is 10 a factor of (1356 - (1 - 0)) + -5? True Let z(r) = -16*r + 11 + r**3 - r**3 + r**3 + 10*r**2 + 4*r**2. Is z(-15) even? True Let h = 17 - -534. Is 26 a factor of h? False Let v = 66 + -66. Suppose v*s = 7*s - 1519. Is s a multiple of 49? False Suppose 3*s = 5*b + 33, 4*b - 4*s = s - 16. Let w(a) be the first derivative of a**3/3 + 3*a**2 - 19*a - 103. Is w(b) a multiple of 8? True Suppose -5*l + 22 = -5*w + 167, 0 = 2*w + 2. Let v = -320 + 249. Let n = l - v. Is 20 a factor of n? False Let z = 120 + -64. Suppose 3*h = -2*m - 55, 3*m + 14 = -2*h - z. Is 2 - m - (3 + -1) a multiple of 11? False Let d = 27 + -2. Suppose 3*h - 24 - 7 = 2*s, 3*s = -2*h + d. Is 2 a factor of h? False Is 14 a factor of 223 - (64/(-72) + 2/(-18))? True Let x = -118 + 198. Is x a multiple of 9? False Suppose 3*g - 6819 = -4*b, 0*b + 4539 = 2*g + 5*b. Does 11 divide g? True Let q(n) = 3*n - 2. Let v(t) = 2*t - 2. Let p(c) = 5*q(c) - 4*v(c). Is 34 a factor of p(10)? True Is (-5462)/(-10) - (88/55)/8 a multiple of 39? True Is 5 + (6243/(-12)*-4 - 1) a multiple of 15? True Let c(o) = -139*o - 230. Does 49 divide c(-8)? True Suppose 0 = 66*h - 65*h + 6624. Does 12 divide (-2)/(-7) - (2 + h/42)? True Let f = -65 + 37. Does 6 divide 6/8 - 651/f? True Is 12 a factor of (-5)/4*(-288)/21*21? True Suppose -2 = -2*a + 10. Let l(k) = -a + 2*k**2 + 14*k + 8 - 7 - 5*k. Does 6 divide l(-7)? True Suppose 38 = -4*m - 2*u, -m - 2*u - 20 = 2*u. Let p = -68 - -40. Let y = m - p. Is y a multiple of 8? False Let q be 4/(-16) - (-17)/4. Let r(z) = 2*z**2 - 5*z + 3. Is r(q) a multiple of 15? True Suppose -2*t = 4*r - 2*r - 10, 4*t = -3*r + 17. Let y(n) = 5*n + 7*n**r - 6*n**3 + 7 + 3*n**2 + 0*n**3 - 9*n**2. Does 15 divide y(6)? False Let s(n) = -n + 7. Suppose -3*d - 2*d - 10 = 0, -4*g + 4*d = 8. Does 11 divide s(g)? True Let v(o) = o**2 - 5*o + 6. Let q be v(3). Suppose 0 = -2*t - 2*t + 3*p + 853, 4*t - 5*p - 843 = q. Is t a multiple of 32? False Let h(j) = -2*j**3 - 5*j**2 + 18*j - 1. Does 43 divide h(-8)? True Suppose -5*i + 434 = -3*o - 289, -2 = 2*o. Is i a multiple of 16? True Suppose -4*n - 2*k = 3*k - 10, 0 = -5*n + 3*k + 31. Suppose -3*q = l - n*q + 2, 2*l + 4*q = -28. Does 8 divide (l - 1)/((-3)/12)? False Is (-69156)/226*5/(-2) a multiple of 9? True Suppose -5*a + 2*a - 5*i = -2447, -4*a + 3257 = i. Is a a multiple of 74? True Let w(k) = -k. Let i(h) = -2 - 2*h - 6 + 12. Let d(y) = i(y) - 3*w(y). Is 5 a factor of d(11)? True Let b = 73 + 107. Does 25 divide b? False Suppose -3*k = -371 - 1390. Is 28 a factor of k? False Let z(t) = 19 + 0*t - t + 4*t**2 - 3*t**2. Let x(b) = -b**3 + 17*b**2 - 31*b + 15. Let v be x(15). Is 19 a factor of z(v)? True Let a be (-255)/34*(-2)/3. Let v(w) = 2*w**2 - 5 + 3 - 4 - 4*w. Is 24 a factor of v(a)? True Let f be ((-2)/5 + 27/30)*206. Let y = f + 11. Is y a multiple of 38? True Suppose -216 = -2*p + 3*v - v, -p + 123 = 4*v. Does 5 divide p? False Suppose 3*c - 730 = 4*v, 2*v + 728 = 3*c - 3*v. Is c a multiple of 68? False Let j = -165 - -324. Suppose 5*c + 36 = -j. Let x = -19 - c. Is 10 a factor of x? True Let h = 123 - 52. Does 21 divide h + 4 + 6*2/(-4)? False Let a(o) = -o**3 + 7*o**2 - 10*o - 23. Let i be a(6). Let s = -9 - i. Is 19 a factor of s? True Let t be -3*(16/(-3) + 4). Suppose 13*o = 14*o - t. Does 5 divide 0 + 25 + 1 - o? False Let u = 155 + -35. Is 2 a factor of u? True Suppose 10633 = 3*y + 11*a - 13*a, -4*y = -2*a - 14176. Is y a multiple of 17? False Let x be (-3 - (4 - 259)) + 0. Suppose x = -10*z + 14*z. Is 7 a factor of z? True Let c(k) = -4*k + 20. Let i be c(11). Let v = 41 + i. Does 17 divide v? True Let t be (-10)/((-21)/(-6) + -4). Suppose 3*y - t = -2*y. Suppose -y*a = -2*a - 10. Is 4 a factor of a? False Suppose -4*k + 16 = 0, 16*j - 20*j - 3*k + 860 = 0. Is 106 a factor of j? True Let i(j) = -j**3 - 13*j**2 - 16*j + 5. Let c be i(-8). Is c/(-1) + (-3)/((-3)/(-3)) a multiple of 46? True Let l(s) = 4*s**2 - 13*s + 31. Let r be l(7). Let m = r + -58. Does 21 divide m? False Suppose -14*a - 27616 = -46*a. Is a a multiple of 12? False Suppose -5*a + 723 = 2863. Let x = -1003 - a. Is 17 a factor of x/(-5)*(-6)/(-15)? False Let u(n) = 13*n + 3. Let i be u(1). Let d = -16 + i. Is (-6 - -13) + (-3 - d) even? True Suppose -2*u - 196 = -976. Is 16 a factor of (-52)/u - (-964)/30? True Let z(f) = 20*f**2 - 417*f - 11. Is z(21) a multiple of 7? False Let w = 3281 - 1763. Is w a multiple of 35? False Let z = -1270 - -1987. Is z a multiple of 40? False Let f = 169 - 73. Suppose -3*r + f = -0*r. Is 16 a factor of r? True Suppose -2*o + 6 + 0 = 0. Does 5 divide 1 - (o + -1 - 11)? True Suppose 3*f = -p + 2414, -8*p = -4*p - 5*f - 9673. Is p a multiple of 28? False Let q = -61 + 61. Let x = 9 + -4. Suppose x*b - 3*b - 56 = q. Does 14 divide b? True Does 32 divide 2*8935/7 - 210/245? False Let o(d) be the second derivative of -4*d**3/3 - 3*d**2 - d. Suppose j + 12 = 2*b - 7, 5*j + 4*b = -25. Is 33 a factor of o(j)? True Suppose 4913 = 10*l - 19327. Is l a multiple of 12? True Let o(d) = d**2 + 5*d - 10. Suppose 4*u - 4*r = -72, 0*u - 2*r - 24 = u. Let a = u - -11. Is o(a) a multiple of 7? False Suppose -2*b + b - z = -1, -4*b - 3*z = -9. Let w(x) be the third derivative of -x**6/120 + 2*x**5/15 - 5*x**4/24 + x**3/3 + 2*x**2. Does 22 divide w(b)? True Let k(b) be the first derivative of -b**3/3 - 17*b**2/2 + 18*b + 4. Is k(-11) a multiple of 25? False Suppose -170 = a - 476. Does 51 divide a? True Let z be (58 - 14)/(2/2). Is (-2)/(0 + (-2)/z) a multiple of 11? True Suppose 2*m = -5*u + 164, 4*u + 5*m = -58 + 179. Let q(w) = -w**2 + 4*w - 2. Let j be q(7). Let z = u + j. Does 7 divide z? False Suppose o = 2*m - 1, -2*m + 2*o + 9 = 7. Let x(u) = 8 + 1 + 10 - u**3. Is x(m) a multiple of 19? True Suppose 0 = i + t + 41, 7*i - t + 143 = 4*i. Let l = -11 - i. Is 35 a factor of l? True Suppose 44*l - 320 = 8920. Is l a multiple of 5? True Suppose 15*g - 7626 = -501. Is g a multiple of 13? False Let r(c) = c**3 + 10*c**2 + c + 10. Let i be r(-10). Let v(m) = m**2 - 4*m + 8. Let q be v(6). Suppose i*j - 2*j + q = 3*n, -2 = -n - 3*j. Does 4 divide n? True Let u = -1 - -5. Suppose 5*q - q + 2*o - 220 = 0, -5*q - u*o + 278 = 0. Suppose q - 18 = 2*x + 4*h, 4*x - 5*h = 7. Is 4 a factor of x? True Let r(o) = 4*o**2 - 2*o - 26. Is 21 a factor of r(8)? False Let t(a) = a**2 + 10*a + 3. Let h be t(-10). Suppose 2*w = 2*u - h*u + 90, -2*u = -8. Does 13 divide w? False Suppose -7*s - 139 = -8*s - c, c + 281 = 2*s. Let t = s - 64. Is 17 a factor of t? False Suppose -47*x = -53*x + 78. Is x a multiple of 9? False Let j = -17 - -21. Suppose 5*x + 18 = -5*i - 7, -3*x + j*i + 20 = 0. Suppose x = 3*u - u - 40. Does 4 divide u? True Let m = 1020 + -606. Is 18 a factor of m? True Let l = -8 - 0. Let b be l/8*194/(-2). Suppose -3*y + b + 62 = 3*r, r - 2*y = 41. Does 19 divide r? False Let r(o) = o**3 - 6*o**2 - 8*o + 1. Let z be r(7). Let j be 20/z*15/(-10). Is (19/2)/(j/10) a multiple of 7? False Let h = 4119 - 2589. Is 17 a factor of h? True Let v(h) = h**3 - 6*h**2 + 12*h - 13. Let n be v(4). Suppose -124 = -n*k + 200. Is 18 a factor of k? True Suppose 0 = -2*t + 6*t - 40. Is 4 a factor of t/(-1 - 0)*(-154)/55? True Let m(v) = 15*v**2 - v + 2. Suppose 5*t + 8 = 4*a, -5*t - 19 - 1 = 0. Let w(y) = -y - 1. Let p be w(a). Is m(p) a multiple of 20? True Let k(a) = -6*a - 12. Let i(n) = -6*n - 11. Let q(o) = 6*i(o) - 5*k(o). Let w(s) = -3*s**2 - 2*s + 2. Let m be w(1). Is q(m) a multiple of 2? True Suppose -5*i = -4*i - 4*s + 18, -2*s = 3*i - 16. Suppose -2*a - 17 = 4*w + a, -i*w - 3*a - 13 = 0. Does 2 divide w + (-4 + 22)/2? False Suppose 25 + 0 = -5*n. Let c be ((-159)/(-6))/(n/(-10)). Let x = c + -4. Does 15 divide x? False Suppose 221 = 2*z + 5*t, -t = 2*z - 152 - 65. Is z a multiple of 27? True Suppose v = -i + 2468, -v - 5*i = -8*i - 2476. Is 10 a factor of v? True Let q(j) = -11*j + 2. Let d be q(-2). Let m = 13 + d. Does 15 divide m? False Is 1500/60*2412/15 a multiple of 11? False Le
{ "pile_set_name": "DM Mathematics" }
qrt(4)*-2). -4 + 2*sqrt(19) Simplify -5 + -3*(-6*(sqrt(102) + (sqrt(102) - (sqrt(102)*3 + sqrt(102))) + sqrt(102)))/(sqrt(48)/(-1*sqrt(8))). -5 + 18*sqrt(17) Simplify (0 + sqrt(567) + 5 - (sqrt(28) + 0 + 5)**2)*-5 + -2. 55*sqrt(7) + 238 Simplify ((sqrt(6480)*-1 - (-1*sqrt(3645) + sqrt(45)))/(5*sqrt(27)/sqrt(3)*-6))**2 + -3. -131/45 Simplify -2*(1*sqrt(2))**2 + (sqrt(50) - sqrt(450))**2 - (4 + 1*sqrt(2) + 2). -sqrt(2) + 190 Simplify (sqrt(567) + -1 - sqrt(567))**2*-6 + -2 + (sqrt(567) + 0)**2 + 2 + sqrt(49)/(sqrt(700)*-1). -sqrt(7)/10 + 561 Simplify (((-1*sqrt(3264) - sqrt(3264) - sqrt(3264))*6)/(sqrt(240)/sqrt(5) + (sqrt(3) + sqrt(3)*-1)*-1))**2. 22032 Simplify (3*(sqrt(17) + -1 + -3) + -1)**2 + (sqrt(425)*1)**2 + 1 + -1. -78*sqrt(17) + 747 Simplify -2*sqrt(8)/(-6*-2*sqrt(4)) + (sqrt(60)/(sqrt(30)/sqrt(3)))/(sqrt(54)/sqrt(2)). sqrt(2)/6 Simplify -3*sqrt(19)*-2 - (sqrt(19) - (sqrt(76) - sqrt(76)*3)/sqrt(4)) - (0 + -3*sqrt(475)*1). 18*sqrt(19) Simplify (-3 + -4*(sqrt(108) + 4) + 0 + sqrt(768) + 0)**2. 304*sqrt(3) + 553 Simplify ((-3*(-4*(2 + sqrt(468)) + sqrt(468)) + -2)*-4 + -3)**2. 39312*sqrt(13) + 614809 Simplify 1*((sqrt(1377) - (sqrt(1377) + -2*(sqrt(1377) + 0)))**2 + -5 + (-1 + sqrt(1377))**2). -18*sqrt(17) + 6881 Simplify 3*((sqrt(80) + (sqrt(80) - (sqrt(80) + 0 - sqrt(80))*3) + sqrt(80) - sqrt(80)) + sqrt(80) + -1 + sqrt(80) + 0)**2*5. -480*sqrt(5) + 19215 Simplify (sqrt(144)/(sqrt(147) + 4*sqrt(147) - sqrt(3)))**2*1. 12/289 Simplify 4*(5 + (sqrt(98) - (2 + 1*sqrt(98) + sqrt(98))**2 - -5*(-1 + sqrt(98))**2)) + 1. -476*sqrt(2) + 417 Simplify (sqrt(972)*1 - sqrt(972))/(sqrt(441)*2). 0 Simplify (sqrt(33)/(sqrt(30)/(sqrt(10) + sqrt(20)/sqrt(2) - sqrt(10)))*-3)**2 + -1. 98 Simplify ((sqrt(78) + -4*(sqrt(78)*-3 + sqrt(78)))*-6)/((sqrt(90)/sqrt(5))/sqrt(3)*-3). 18*sqrt(13) Simplify (((2*sqrt(33) - sqrt(33))*-5 - sqrt(33)) + (1*sqrt(363))/sqrt(11))/(3*(sqrt(3) + (sqrt(3) - (sqrt(3) + (sqrt(3) - (2*sqrt(3) + sqrt(3)))))*-1)). 5*sqrt(11)/3 Simplify (4*(-4 + -2*sqrt(539)) - ((3 + sqrt(539) + 0 + sqrt(539) - sqrt(539)) + 2))**2. 2646*sqrt(11) + 44100 Simplify (sqrt(208) - (0 + sqrt(208)*1))**2 - (sqrt(104)/((sqrt(32)/sqrt(4) - sqrt(8)) + sqrt(8)) + (sqrt(832)*1)**2). -832 - sqrt(13) Simplify 1*2*sqrt(6)/sqrt(3)*-2*-3. 12*sqrt(2) Simplify -1*(sqrt(13) + 0) + -4 + sqrt(52)/sqrt(4) + ((0 + sqrt(832))*4)**2. 13308 Simplify sqrt(80) + 3 + 2 - (((-3*sqrt(140) - sqrt(140)) + sqrt(140))/sqrt(4))/sqrt(7). 5 + 7*sqrt(5) Simplify ((sqrt(72)*2)/sqrt(6))/(sqrt(4) - (4*sqrt(4)*1 + sqrt(4))) - (sqrt(288)/sqrt(6) + sqrt(540)/sqrt(5))**2. -300 - sqrt(3)/2 Simplify (sqrt(52)*-2*-1 - ((sqrt(208) - 1*sqrt(208)) + sqrt(208) + -5))**2. 25 Simplify sqrt(192)*-3 - sqrt(108)/sqrt(4) - (2 + (((sqrt(75) + -1)*6 - sqrt(75)) + sqrt(75))**2). -2738 + 333*sqrt(3) Simplify 5*(sqrt(117) - -4*-1*sqrt(117) - (sqrt(117) + (sqrt(117) + 0 + sqrt(117))*-6 + sqrt(117))**2) + -3. -58503 - 45*sqrt(13) Simplify -5*-1*((-2*-1*sqrt(180))**2 + (sqrt(180) - 2*sqrt(180))**2*6) + -5. 8995 Simplify ((sqrt(360)/sqrt(9))/sqrt(2))/(sqrt(40)/sqrt(144)). 6*sqrt(2) Simplify (1*2*sqrt(65) + sqrt(65))/(sqrt(720)*-2 + sqrt(720)). -sqrt(13)/4 Simplify 5 + sqrt(3200) + sqrt(3200) + -1 + 4. 8 + 80*sqrt(2) Simplify (sqrt(3078) - (sqrt(3078) + 1*sqrt(3078))*2)/(5*sqrt(32) - sqrt(200)/sqrt(4)). -9*sqrt(19)/5 Simplify (((sqrt(612) + 1*sqrt(612) - sqrt(612) - sqrt(612)) + 5 - (-5 + -2 + sqrt(612))) + 1)**2. -156*sqrt(17) + 781 Simplify (-1*(sqrt(136) + sqrt(136) + 2*sqrt(136)) - (5*(2*sqrt(136) + sqrt(136)) + sqrt(136) - sqrt(136) - sqrt(136)))/(sqrt(128)*-2*-4). -9*sqrt(17)/16 Simplify 1*((1 + sqrt(5) - sqrt(5)) + -2 + 2 + sqrt(10)/sqrt(8)*-3)**2. -3*sqrt(5) + 49/4 Simplify ((sqrt(544) - (sqrt(544) + sqrt(544)*3) - sqrt(544)) + sqrt(544))/(-4*sqrt(4)/sqrt(2) + sqrt(2)). 4*sqrt(17) Simplify (sqrt(96)/(sqrt(48)/sqrt(4)) + 1*sqrt(512))/((-6*sqrt(128) - sqrt(32))/sqrt(8)) + -1. -1 - 9*sqrt(2)/13 Simplify -4 + -5*((sqrt(425)*-1 + -2 + (-4 + -1 + sqrt(425) + sqrt(425) + sqrt(425) - sqrt(425)))*-6)**2. -85324 + 12600*sqrt(17) Simplify 1*-1*(-5 + -1 + sqrt(176))**2*-4. -192*sqrt(11) + 848 Simplify -2*(2*(sqrt(343) + sqrt(343)*-1 - sqrt(343)) - (-2*sqrt(847) + 1)). -16*sqrt(7) + 2 Simplify (4*(sqrt(19) + 1) - (-1 + sqrt(475)))**2 - ((-3*sqrt(76)*-5 - sqrt(76))/sqrt(4))**2. -3680 - 10*sqrt(19) Simplify 5*(3 + sqrt(80)) + (sqrt(5) - sqrt(80)*2 - (4 + sqrt(20)/sqrt(4))). 11 + 12*sqrt(5) Simplify (((1*sqrt(76) - sqrt(76))/sqrt(4) + (sqrt(228) + sqrt(228)*-1)/sqrt(12))**2 - -3*sqrt(76)/sqrt(4)*-3)*-1*4. 36*sqrt(19) Simplify (3 + (sqrt(441)*-2)/(-5*sqrt(112)))**2. 9*sqrt(7)/5 + 963/100 Simplify 3 + ((-4*sqrt(208)*-1 - sqrt(208))**2 + 5 - (3 + sqrt(208) + 0 - (-4 + 1 + sqrt(208)))). 1874 Simplify -1 + (((sqrt(637) - (-1 + sqrt(637)))*-1 + sqrt(637))**2 - sqrt(637)) + ((1*sqrt(637) - sqrt(637))**2*2 - sqrt(637)) + -5. -28*sqrt(13) + 632 Simplify 1*(sqrt(14)/(sqrt(21)/sqrt(27)) + -3 + sqrt(2) + sqrt(22)/(sqrt(11) + sqrt(22)/sqrt(2)))*6. -18 + 27*sqrt(2) Simplify (0 + -3 + (1 + sqrt(1377))*-4 + sqrt(1377)*1*5)**2. -126*sqrt(17) + 1426 Simplify ((sqrt(152) - (2*sqrt(152) + sqrt(152) - sqrt(152)))*3 + (sqrt(152) - (1*sqrt(152)*1 - sqrt(152))))/(-4*2*sqrt(128) - sqrt(128))*1. sqrt(19)/18 Simplify (5 + (-4 + sqrt(272) + sqrt(272) - sqrt(272)) - sqrt(272))**2 - -3*(sqrt(272) + (3*sqrt(272))**2). 12*sqrt(17) + 7345 Simplify (0 + sqrt(931))**2*-1 + sqrt(304) + (sqrt(304) - (sqrt(304)*-2)**2) + sqrt(304) + 5. -2142 + 12*sqrt(19) Simplify (2 + (sqrt(153) + sqrt(153) + -2 + -2)*2)**2. -144*sqrt(17) + 2484 Simplify (-1*sqrt(833)*5 + -2*sqrt(833) + 2)**2. -196*sqrt(17) + 40821 Simplify (0 + -3*(sqrt(567) + sqrt(567)*-2*1) + -2)**2. -108*sqrt(7) + 5107 Simplify (sqrt(1936)*-1*-2)/((sqrt(4840) + 2*sqrt(4840))/sqrt(5)). 2*sqrt(2)/3 Simplify sqrt(18)/(sqrt(150) - sqrt(6)) + -5 + 2 + sqrt(432) + 1. -2 + 49*sqrt(3)/4 Simplify -4 + (sqrt(1008) + 5 + 2*sqrt(1008) + sqrt(1008)*1 + 3 + 5*sqrt(1008)*1 + -3 + sqrt(1008)*-2)**2. 840*sqrt(7) + 49413 Simplify -2*(5 + sqrt(475) - sqrt(475))**2 + (sqrt(57)/(-5*sqrt(432)))**2. -179981/3600 Simplify (-2*1*sqrt(200) + 2)**2*-3. -2412 + 240*sqrt(2) Simplify ((5*(sqrt(119) + 1*(sqrt(119) - (sqrt(119) + 1*sqrt(119)))))/(-4*sqrt(343)*-2))**2. 0 Simplify -4*((-2 + (1*sqrt(1900))**2)*6 - ((sqrt(1900) - ((sqrt(1900) + 1 + sqrt(1900) + sqrt(1900) + -3)**2 - sqrt(1900))) + -3)). -113980 + 560*sqrt(19) Simplify -5*-5*(sqrt(297)/(sqrt(36)/sqrt(4)))/(-1*sqrt(88)/sqrt(8)). -25*sqrt(3) Simplify (1 + sqrt(20)/(sqrt(12)/sqrt(3)) + 0)*3. 3 + 3*sqrt(5) Simplify (-1*sqrt(18)*-6*4)/(sqrt(600) - (sqrt(600) - sqrt(600)*-2*6)). -sqrt(3)/5 Simplify ((sqrt(684) + -1*sqrt(684) + 0)*5*-6*-6*-2)**2. 0 Simplify (5*(sqrt(133)/sqrt(7)*-2 + sqrt(19) + sqrt(1539) + 2 + sqrt(1539) + sqrt(1539)))**2. 2600*sqrt(19) + 321200 Simplify (-2*sqrt(228)*-1)/(sqrt(432)*2) + (-4 + sqrt(19) + 2 - (-2 + sqrt(19) + -1 + sqrt(19)))**2. -11*sqrt(19)/6 + 20 Simplify (-3*(sqrt(66)*-1*1 + sqrt(66) - sqrt(66)))/(sqrt(18)/sqrt(27) - (sqrt(294) - sqrt(294)*2)). 9*sqrt(11)/22 Simplify (((sqrt(420) + (sqrt(420) - sqrt(420)*-2))/sqrt(7))/sqrt(5))/(sqrt(48)/(sqrt(12) + sqrt(120)/sqrt(90))). 16*sqrt(3)/3 Simplify ((sqrt(208)/(sqrt(8)/sqrt(2)))/((sqrt(16)*-2)/sqrt(4)))**2. 13/4 Simplify (1*sqrt(3025) + sqrt(3025) - -4*sqrt(400))/(sqrt(240)/sqrt(12) - (sqrt(5) - -1*-1*sqrt(5))). 19*sqrt(5) Simplify (sqrt(24)/sqrt(4)*2 + sqrt(48)/(sqrt(8)*-2))/(sqrt(400)/sqrt(128)). 6*sqrt(3)/5 Simplify ((0 + (sqrt(637) - (sqrt(637)*2 - sqrt(637))))*1 + (-1*sqrt(637) + 2 - (1 + -1*sqrt(637))))**2. 1 Simplify sqrt(605) + 5 + sqrt(605) + (sqrt(605)*2)**2 + (-2 + 3 + sqrt(605))**2. 44*sqrt(5) + 3031 Simplify (-5*(sqrt(1539) + -2*sqrt(1539) + 3 + (0 + sqrt(1539))*-4) + 1)**2. -6300*sqrt(19) + 962071 Simplify (2*(-1 + sqrt(19) + 3 + (sqrt(171)*3 - sqrt(171) - sqrt(171))/sqrt(9))*4)**2. 512*sqrt(19) + 5120 Simplify (sqrt(847) + 2 - (sqrt(7)*1 - sqrt(7))*6) + -2. 11*sqrt(7) Simplify 0 + (sqrt(336) + (sqrt(336) - (sqrt(336) + (sqrt(336) - 1*sqrt(336)))*-5) + sqrt(336))/(1*sqrt(7)*4)*3. 24*sqrt(3) Simplify (-5*(1 + 4*(sqrt(425) - sqrt(425)*2) + sqrt(425)))**2. -750*sqrt(17) + 95650 Simplify -2*(sqrt(450) - ((sqrt(450) - 5*(sqrt(450) - (sqrt(450) + sqrt(450)*1))) + sqrt(450)))/(sqrt(90)*3). 4*sqrt(
{ "pile_set_name": "DM Mathematics" }
658 What is the b'th term of -34, -35, -40, -43, -38, -19? b**3 - 8*b**2 + 16*b - 43 What is the h'th term of -1691, -3375, -5045, -6695, -8319, -9911, -11465? h**3 + h**2 - 1694*h + 1 What is the u'th term of 5110415, 5110419, 5110425, 5110433, 5110443, 5110455? u**2 + u + 5110413 What is the j'th term of 2420, 9652, 21708, 38588, 60292? 2412*j**2 - 4*j + 12 What is the z'th term of -301, -2500, -8461, -20062, -39181, -67696, -107485? -313*z**3 - 3*z**2 + z + 14 What is the m'th term of 83, 151, 209, 257, 295, 323, 341? -5*m**2 + 83*m + 5 What is the k'th term of 555, 1115, 1677, 2241, 2807? k**2 + 557*k - 3 What is the f'th term of -50, -212, -488, -878, -1382? -57*f**2 + 9*f - 2 What is the d'th term of 34, -211, -816, -1961, -3826, -6591, -10436, -15541? -30*d**3 - 35*d + 99 What is the q'th term of -1460, -4261, -8938, -15497, -23944, -34285, -46526? -q**3 - 932*q**2 + 2*q - 529 What is the h'th term of -135, -235, -391, -603, -871, -1195? -28*h**2 - 16*h - 91 What is the f'th term of -88, -316, -910, -2044, -3892, -6628, -10426, -15460? -29*f**3 - 9*f**2 + 2*f - 52 What is the c'th term of -257, -461, -665, -869, -1073? -204*c - 53 What is the a'th term of 56, 79, 74, 41, -20? -14*a**2 + 65*a + 5 What is the m'th term of -816, -788, -776, -786, -824, -896? -m**3 - 2*m**2 + 41*m - 854 What is the n'th term of 596, 1267, 1926, 2573, 3208, 3831, 4442? -6*n**2 + 689*n - 87 What is the o'th term of 591, 645, 699, 753? 54*o + 537 What is the d'th term of -4121, -8383, -12647, -16913, -21181? -d**2 - 4259*d + 139 What is the b'th term of -215, -249, -299, -371, -471, -605, -779? -b**3 - 2*b**2 - 21*b - 191 What is the w'th term of 73, 197, 405, 697, 1073, 1533, 2077? 42*w**2 - 2*w + 33 What is the y'th term of -45473, -45475, -45479, -45485? -y**2 + y - 45473 What is the m'th term of 5189, 9695, 14201, 18707, 23213, 27719? 4506*m + 683 What is the u'th term of -54, -86, -90, -54, 34, 186, 414? 2*u**3 + 2*u**2 - 52*u - 6 What is the q'th term of 15, -142, -405, -774, -1249, -1830? -53*q**2 + 2*q + 66 What is the w'th term of 2738, 5315, 7892? 2577*w + 161 What is the a'th term of 262, 1436, 3384, 6100, 9578, 13812, 18796? -a**3 + 393*a**2 + 2*a - 132 What is the d'th term of -295, -1145, -2557, -4525, -7043, -10105? d**3 - 287*d**2 + 4*d - 13 What is the y'th term of 89, 357, 793, 1391, 2145, 3049? -y**3 + 90*y**2 + 5*y - 5 What is the q'th term of 906, 1822, 2732, 3636, 4534, 5426? -3*q**2 + 925*q - 16 What is the g'th term of -572, -1145, -1708, -2255, -2780, -3277? g**3 - g**2 - 577*g + 5 What is the t'th term of 237, 1795, 6017, 14235, 27781, 47987? 222*t**3 + 4*t + 11 What is the d'th term of -61197, -61205, -61217, -61233? -2*d**2 - 2*d - 61193 What is the j'th term of 74, 232, 478, 812, 1234, 1744? 44*j**2 + 26*j + 4 What is the p'th term of 766, 3072, 6910, 12274, 19158? -p**3 + 772*p**2 - 3*p - 2 What is the n'th term of -13, -97, -293, -649, -1213, -2033, -3157? -8*n**3 - 8*n**2 - 4*n + 7 What is the b'th term of -421633, -421632, -421631, -421630? b - 421634 What is the q'th term of 528, 527, 526, 525, 524, 523? -q + 529 What is the d'th term of 5932, 11871, 17816, 23767, 29724, 35687? 3*d**2 + 5930*d - 1 What is the s'th term of 4346, 8723, 13114, 17519, 21938, 26371? 7*s**2 + 4356*s - 17 What is the n'th term of -88, -559, -1862, -4417, -8644? -70*n**3 + 4*n**2 + 7*n - 29 What is the w'th term of 467064, 467057, 467046, 467031, 467012? -2*w**2 - w + 467067 What is the b'th term of -156, -232, -306, -378, -448? b**2 - 79*b - 78 What is the x'th term of -454941, -454943, -454945, -454947, -454949, -454951? -2*x - 454939 What is the l'th term of -1267, -2524, -3781, -5038? -1257*l - 10 What is the t'th term of -143, -354, -831, -1706, -3111, -5178? -22*t**3 - t**2 - 54*t - 66 What is the u'th term of 510, 1034, 1564, 2106, 2666? u**3 - 3*u**2 + 526*u - 14 What is the v'th term of 22980, 22982, 22986, 22992, 23000? v**2 - v + 22980 What is the n'th term of -472, -513, -554, -595, -636, -677? -41*n - 431 What is the y'th term of 759711, 1519423, 2279135, 3038847, 3798559? 759712*y - 1 What is the r'th term of -1702, -3361, -5020, -6679? -1659*r - 43 What is the h'th term of -591, -602, -613, -624, -635, -646? -11*h - 580 What is the i'th term of -164385, -328752, -493119, -657486, -821853, -986220? -164367*i - 18 What is the s'th term of -128, -251, -446, -707, -1028, -1403, -1826, -2291? s**3 - 42*s**2 - 4*s - 83 What is the l'th term of 2663, 2654, 2639, 2618, 2591, 2558? -3*l**2 + 2666 What is the a'th term of 566, 325, 84, -157, -398, -639? -241*a + 807 What is the m'th term of -43043, -42991, -42941, -42893, -42847, -42803? -m**2 + 55*m - 43097 What is the o'th term of -1611, -3227, -4843, -6459, -8075? -1616*o + 5 What is the q'th term of -521, -1003, -1483, -1961? q**2 - 485*q - 37 What is the m'th term of 342, 659, 976, 1293, 1610, 1927? 317*m + 25 What is the r'th term of 1083, 1993, 2903, 3813, 4723? 910*r + 173 What is the v'th term of -70186, -70188, -70190, -70192? -2*v - 70184 What is the z'th term of 10696, 10693, 10690? -3*z + 10699 What is the d'th term of -1024, -2871, -5946, -10249, -15780, -22539, -30526? -614*d**2 - 5*d - 405 What is the u'th term of -40596, -40607, -40618? -11*u - 40585 What is the p'th term of -32900, -32901, -32902, -32903, -32904, -32905? -p - 32899 What is the s'th term of -90, -66, -28, 18, 66, 110? -s**3 + 13*s**2 - 8*s - 94 What is the n'th term of 408, 1581, 4768, 10977, 21216? 168*n**3 - n**2 + 241 What is the i'th term of -1948, -1938, -1928? 10*i - 1958 What is the u'th term of -611, -4311, -10477, -19109, -30207, -43771, -59801? -1233*u**2 - u + 623 What is the a'th term of -1374, -5507, -12390, -22017, -34382, -49479, -67302, -87845? a**3 - 1381*a**2 + 3*a + 3 What is the a'th term of -462, -1840, -4136, -7350, -11482? -459*a**2 - a - 2 What is the b'th term of 40616, 40619, 40622, 40625? 3*b + 40613 What is the m'th term of -84, -214, -398, -648, -976? -2*m**3 - 15*m**2 - 71*m + 4 What is the x'th term of -271, -515, -765, -1027, -1307, -1611, -1945? -x**3 + 3*x**2 - 246*x - 27 What is the w'th term of -226, -483, -740, -997? -257*w + 31 What is the k'th term of 372, 584, 644, 558, 332, -28, -516? k**3 - 82*k**2 + 451*k + 2 What is the i'th term of -2052, -16322, -55034, -130404, -254648, -439982, -698622? -2036*i**3 - 5*i**2 - 3*i - 8 What is the c'th term of 1164, 2236, 4024, 6528, 9748, 13684, 18336? 358*c**2 - 2*c + 808 What is the z'th term of -18, 17, 76, 159, 266, 397, 552? 12*z**2 - z - 29 What is the a'th term of 7665, 30733, 69187, 123033, 192277, 276925, 376983? a**3 + 7687*a**2 - 23 What is the v'th term of 5528, 11183, 16842, 22505, 28172, 33843? 2*v**2 + 5649*v - 123 What is the a'th term of -169, -384, -603, -826? -2*a**2 - 209*a + 42 What is the x'th term of 264, 516, 734, 900, 996, 1004? -3*x**3 + x**2 + 270*x - 4 What is the c'th term of 37951, 151643, 341131, 606415, 947495, 1364371, 1857043? 37898*c**2 - 2*c + 55 What is the d'th term of -136, -229, -322, -415, -508? -93*d - 43 What is the a'th term of 417, 586, 755, 924, 1093? 169*a + 248 What is the h'th term of -108, -964, -3282, -7794, -15232, -26328? -122*h**3 + h**2 - 5*h + 18 What is the l'th term of 859, 885, 927, 985, 1059? 8*l**2 + 2*l + 849 What is the p'th term of -1618, -1432, -1248, -1066, -886, -708, -532? -p**2 + 189*p - 1806 What is the o'th term of -4094, -4192, -4292, -4394, -4498, -4604, -4712? -o**2 - 95*o - 3998 What is the p'th term of 2613, 5263, 7913, 10563? 2650*p - 37 What is the f'th term of 4270, 17117, 38534, 68527, 107102, 154265, 210022? f**3 + 4279*f**2 + 3*f - 13 What is the i'th term of -8929, -17708, -26487? -8779*i - 150 What is the f'th term of 37, 96, 255, 562, 1065, 1812? 8*f**3 + 2*f**2 - 3*f + 30 What is the u'th term of -1827, -1848, -1869, -1890, -1911, -1932? -21*u - 1806 What is the g'th term of -619, -541, -477, -433, -415, -429, -481? -g**3 - g**2 + 88*g - 705 What is the m'th term of -271, -611, -1035, -1549, -2159, -2871, -3691, -4625? -m**3 - 36*m**2 - 225*m - 9 What is the z'th term of -2028, -4069, -6112, -8157, -10204, -12253, -14304? -z**2 - 2038*z + 11 What is the s'th term of 32425, 129709, 291855, 518863, 810733? 32431*s**2 - 9*s + 3 What is the q'th ter
{ "pile_set_name": "DM Mathematics" }
2 minutes after 7:31 PM? 2:13 AM What is 121 minutes before 10:04 AM? 8:03 AM What is 588 minutes after 2:47 PM? 12:35 AM How many minutes are there between 10:36 PM and 4:01 AM? 325 How many minutes are there between 6:41 AM and 4:09 PM? 568 How many minutes are there between 7:28 AM and 6:30 PM? 662 What is 203 minutes before 9:00 AM? 5:37 AM How many minutes are there between 10:35 PM and 9:14 AM? 639 What is 570 minutes before 9:08 PM? 11:38 AM How many minutes are there between 11:20 PM and 10:20 AM? 660 What is 652 minutes after 5:10 PM? 4:02 AM What is 254 minutes after 9:04 AM? 1:18 PM How many minutes are there between 7:37 AM and 8:25 AM? 48 How many minutes are there between 1:41 AM and 12:12 PM? 631 How many minutes are there between 3:36 PM and 8:59 PM? 323 What is 557 minutes after 5:57 AM? 3:14 PM What is 132 minutes after 7:54 AM? 10:06 AM What is 127 minutes after 10:45 PM? 12:52 AM How many minutes are there between 7:05 PM and 7:25 PM? 20 How many minutes are there between 3:10 PM and 5:16 PM? 126 How many minutes are there between 7:26 PM and 8:54 PM? 88 How many minutes are there between 12:03 AM and 11:33 AM? 690 How many minutes are there between 11:50 PM and 4:04 AM? 254 What is 360 minutes after 7:58 AM? 1:58 PM How many minutes are there between 6:34 AM and 12:47 PM? 373 How many minutes are there between 8:28 AM and 9:28 AM? 60 What is 595 minutes before 3:25 AM? 5:30 PM What is 538 minutes before 10:41 PM? 1:43 PM What is 628 minutes before 4:05 PM? 5:37 AM How many minutes are there between 7:30 PM and 12:23 AM? 293 How many minutes are there between 6:22 PM and 7:00 PM? 38 What is 156 minutes before 12:29 PM? 9:53 AM What is 553 minutes after 10:44 AM? 7:57 PM How many minutes are there between 8:44 AM and 2:28 PM? 344 How many minutes are there between 5:00 AM and 12:37 PM? 457 What is 51 minutes after 8:56 PM? 9:47 PM How many minutes are there between 4:55 AM and 1:32 PM? 517 How many minutes are there between 4:44 AM and 9:23 AM? 279 How many minutes are there between 12:31 PM and 7:35 PM? 424 What is 456 minutes before 5:18 PM? 9:42 AM What is 289 minutes before 6:54 AM? 2:05 AM How many minutes are there between 4:33 AM and 10:26 AM? 353 How many minutes are there between 11:42 AM and 9:02 PM? 560 What is 141 minutes before 4:46 PM? 2:25 PM How many minutes are there between 8:30 PM and 2:44 AM? 374 How many minutes are there between 5:39 AM and 5:18 PM? 699 How many minutes are there between 4:46 AM and 6:53 AM? 127 How many minutes are there between 3:01 PM and 8:06 PM? 305 What is 570 minutes before 8:49 AM? 11:19 PM What is 454 minutes before 11:31 PM? 3:57 PM What is 48 minutes after 5:29 AM? 6:17 AM What is 315 minutes before 8:15 AM? 3:00 AM What is 558 minutes after 5:47 AM? 3:05 PM What is 707 minutes before 3:20 PM? 3:33 AM How many minutes are there between 9:57 AM and 3:10 PM? 313 How many minutes are there between 2:32 PM and 10:40 PM? 488 How many minutes are there between 9:39 AM and 6:25 PM? 526 How many minutes are there between 6:17 AM and 1:26 PM? 429 What is 394 minutes before 4:49 PM? 10:15 AM How many minutes are there between 2:53 AM and 8:34 AM? 341 How many minutes are there between 7:59 PM and 7:17 AM? 678 How many minutes are there between 12:31 PM and 5:22 PM? 291 What is 223 minutes before 2:20 PM? 10:37 AM How many minutes are there between 6:04 PM and 8:10 PM? 126 How many minutes are there between 7:08 AM and 6:51 PM? 703 How many minutes are there between 5:07 PM and 4:55 AM? 708 How many minutes are there between 4:09 AM and 1:39 PM? 570 What is 472 minutes before 11:26 PM? 3:34 PM What is 303 minutes after 11:26 AM? 4:29 PM How many minutes are there between 6:23 PM and 9:19 PM? 176 What is 520 minutes after 12:52 AM? 9:32 AM How many minutes are there between 2:55 PM and 7:57 PM? 302 What is 508 minutes after 3:30 AM? 11:58 AM How many minutes are there between 11:38 PM and 9:55 AM? 617 How many minutes are there between 12:54 AM and 9:52 AM? 538 How many minutes are there between 2:00 AM and 12:07 PM? 607 How many minutes are there between 5:10 AM and 10:03 AM? 293 How many minutes are there between 5:23 AM and 7:20 AM? 117 What is 406 minutes after 9:06 AM? 3:52 PM How many minutes are there between 10:23 PM and 7:40 AM? 557 What is 266 minutes before 12:57 AM? 8:31 PM How many minutes are there between 5:13 AM and 11:38 AM? 385 How many minutes are there between 2:05 PM and 10:21 PM? 496 What is 631 minutes before 3:19 AM? 4:48 PM What is 27 minutes before 9:52 AM? 9:25 AM How many minutes are there between 5:37 PM and 3:55 AM? 618 What is 596 minutes before 5:52 PM? 7:56 AM How many minutes are there between 11:42 PM and 7:54 AM? 492 How many minutes are there between 2:00 PM and 1:05 AM? 665 What is 251 minutes before 10:59 AM? 6:48 AM How many minutes are there between 9:09 PM and 8:16 AM? 667 What is 172 minutes after 4:09 AM? 7:01 AM What is 25 minutes before 2:47 PM? 2:22 PM What is 71 minutes before 3:54 AM? 2:43 AM How many minutes are there between 5:05 PM and 11:21 PM? 376 What is 535 minutes before 8:15 AM? 11:20 PM How many minutes are there between 11:22 PM and 2:23 AM? 181 What is 677 minutes before 2:05 PM? 2:48 AM What is 265 minutes after 1:03 PM? 5:28 PM How many minutes are there between 12:12 PM and 8:14 PM? 482 What is 610 minutes before 11:42 AM? 1:32 AM What is 691 minutes after 3:04 PM? 2:35 AM How many minutes are there between 9:18 PM and 4:19 AM? 421 How many minutes are there between 11:16 PM and 12:09 AM? 53 How many minutes are there between 11:57 AM and 7:59 PM? 482 What is 56 minutes before 6:35 PM? 5:39 PM What is 172 minutes before 7:33 PM? 4:41 PM What is 552 minutes before 6:00 PM? 8:48 AM How many minutes are there between 12:46 AM and 8:11 AM? 445 How many minutes are there between 12:19 AM and 4:44 AM? 265 How many minutes are there between 6:03 PM and 7:32 PM? 89 How many minutes are there between 10:30 AM and 4:07 PM? 337 How many minutes are there between 4:48 AM and 2:39 PM? 591 What is 528 minutes before 5:46 AM? 8:58 PM What is 243 minutes after 4:00 PM? 8:03 PM How many minutes are there between 10:41 AM and 6:23 PM? 462 What is 454 minutes before 3:00 PM? 7:26 AM How many minutes are there between 12:23 PM and 12:50 PM? 27 How many minutes are there between 4:38 PM and 9:56 PM? 318 How many minutes are there between 12:43 PM and 1:39 PM? 56 What is 572 minutes after 5:44 AM? 3:16 PM How many minutes are there between 10:51 PM and 8:34 AM? 583 How many minutes are there between 8:03 PM and 5:45 AM? 582 How many minutes are there between 8:30 PM and 2:15 AM? 345 How many minutes are there between 7:35 PM and 6:35 AM? 660 How many minutes are there between 6:07 PM and 7:58 PM? 111 What is 470 minutes before 9:55 PM? 2:05 PM How many minutes are there between 8:11 PM and 6:08 AM? 597 What is 420 minutes before 9:38 PM? 2:38 PM How many minutes are there between 6:22 PM and 7:02 PM? 40 What is 27 minutes before 7:28 AM? 7:01 AM How many minutes are there between 11:24 PM and 1:00 AM? 96 What is 158 minutes before 5:02 PM? 2:24 PM How many minutes are there between 6:32 PM and 6:00 AM? 688 How many minutes are there between 9:51 AM and 5:03 PM? 432 How many minutes are there between 11:00 PM and 10:22 AM? 682 How many minutes are there between 10:46 AM and 3:35 PM? 289 What is 194 minutes before 1:24 PM? 10:10 AM How many minutes are there between 9:27 PM and 12:23 AM? 176 What is 719 minutes after 11:20 AM? 11:19 PM What is 547 minutes after 12:20 AM? 9:27 AM What is 158 minutes before 10:03 PM? 7:25 PM What is 173 minutes before 9:42 PM? 6:49 PM How many minutes are there between 4:08 PM and 9:21 PM? 313 What is 322 minutes after 7:19 PM? 12:41 AM What is 265 minutes before 1:59 PM? 9:34 AM What is 443 minutes before 4:35 PM? 9:12 AM How many minutes are there between 3:42 AM and 7:48 AM? 246 What is 391 minutes before 7:32 AM? 1:01 AM What is 117 minutes before 12:56 AM? 10:59 PM What is 136 minutes after 7:25 PM? 9:41 PM What is 251 minutes before 1:20 PM? 9:09 AM How many minutes are there between 3:59 AM and 2:08 PM? 609 How many minutes are there between 12:00 PM and 6:31 PM? 391 How many minutes are there between 9:0
{ "pile_set_name": "DM Mathematics" }
is the third biggest value in y, g, -5? -5 Let t = 19 + -21. What is the third biggest value in -11, -2/3, t? -11 Let s = -9 + 4. Which is the third smallest value? (a) 5 (b) s (c) -6 (d) 0.5 d Suppose 4*d - 10 = 5*v, 0*d + v = 2*d - 2. Let y = -2.2 - -2. What is the third biggest value in y, d, 0.1? y Let p = 5 - 9. Which is the smallest value? (a) 4/7 (b) p (c) 9 b Let z = 0.09 + 0.41. What is the third biggest value in -4, 1, -1, z? -1 Let x = 96376 + -18022373/187. Let h = -4/17 - x. Which is the third smallest value? (a) 3/4 (b) h (c) 0 a Let v be 6 - (-2 - 47/(-6)). Let m = 0.8 + -1.1. Let o = m - -0.1. What is the third biggest value in o, v, -0.5? -0.5 Let s = -7/11 + 13/55. What is the smallest value in 3, -22/9, s, -0.1? -22/9 Let i = 4 - 3. Let h = i + -1. Suppose h = 5*y + 25, -4*j = -3*y - 1 + 2. Which is the third biggest value? (a) 5/3 (b) -5 (c) j b Let a be (-12)/(-9) + (-4)/6. Let d be (2 - 2 - 0) + -46. Let u be d/42 + (-8)/(-12). What is the third smallest value in u, a, -1? a Let n = -1.7 - 0.3. What is the second biggest value in n, -0.4, 3/2, 1/5? 1/5 Let t = -15.93 + 16. Let p = 5.07 - t. Let a = -0.01 + 1.01. What is the third smallest value in -0.1, p, a? p Let h(s) = -s + 10. Let z be h(8). Let y = -2.87 + -0.13. What is the second smallest value in 0.1, z, y? 0.1 Let y = 6 - 6.08. Let t = -0.18 - y. Which is the biggest value? (a) -0.5 (b) 1 (c) t b Let g(j) = -j**2 + 4*j + 7. Let f be g(5). Suppose 3*l + 2*k = f*l + 1, -k + 18 = -3*l. What is the biggest value in 5, l, 0? 5 Let i = -18/7 - -104/35. Let o = 0.8 + -0.3. What is the third biggest value in -5, o, i? -5 Let y be -6*(3/27 + 0). Which is the smallest value? (a) 2/13 (b) 2/9 (c) y c Let s = -269/15 - -55/3. What is the smallest value in -0.15, s, -3? -3 Let n = 0.4 + -5.4. Let t = 68 - 76. Let s = n - t. What is the second biggest value in -1, 2, s? 2 Let q = 69 - 68.5. Which is the biggest value? (a) 0 (b) 2 (c) q (d) -1 b Let j = 0.3 + -0.3. What is the smallest value in 6, -5, j? -5 Suppose -4*g - 3*z = -31, 2*z + 2 = 2*g - 24. Let x be 10/25 - 4/g. What is the third smallest value in x, -1/2, 1? 1 Let t = -2.6 - -0.6. Let u be 7/28 + 18/(-8). Let l be (3 - 74/22)/u. Which is the second smallest value? (a) t (b) l (c) -1 c Suppose -2*g - 2*g = -8. Let b be (-1)/g + 1/(-2). Suppose 5*d - 12 = 8. What is the second biggest value in d, b, 5? d Let f = 36/133 - 16/19. Which is the biggest value? (a) -5 (b) f (c) -1 b Suppose 14 = -2*h - 0*h. Let z = -12 - h. Which is the third biggest value? (a) z (b) -1/2 (c) 0.2 a Let k = 0.09 - 0.89. Let n = 0.76 + k. Let z = n + -0.16. Which is the second biggest value? (a) z (b) 2/5 (c) -4/5 a Let b = 0 + 0.2. Let z = -4.98 + -0.02. Let n = 0.23 - 3.23. What is the biggest value in z, b, n? b Let s = 54 - 47. What is the smallest value in 4, 1/7, s, -5? -5 Let s = -4 - -3. Let q be 40/(-18) + 3 + s. Which is the biggest value? (a) 2/17 (b) 0.1 (c) q a Let v = -10 - -11.4. Let h = v - 1. Which is the second smallest value? (a) 1 (b) 0 (c) h c Let s = 12 - 14. Which is the fourth biggest value? (a) -0.5 (b) s (c) -0.2 (d) -5 d Let t = 0.3 - 0.5. Let n be (-6)/((-3)/(-2)*-1). Suppose 0 = n*u - 5*u. What is the third biggest value in t, 0.5, u? t Let d = 16 + -8. Which is the smallest value? (a) -0.4 (b) d (c) -2/17 a Let l(j) = 6*j**2 - 2. Let x be l(1). Let y = 5 + -3. Let g = -29/66 + -2/33. Which is the second smallest value? (a) g (b) y (c) x b Let l be 10 + -2 + 2/1. Suppose 0 = 5*p - l - 5. Let b = -0.09 - 0.11. What is the biggest value in b, 0.4, p? p Let i be -3 + (-3 - -3)/(-3). What is the second biggest value in 2/11, i, 2/7? 2/11 Let t = 1/8 - 11/24. Which is the third smallest value? (a) t (b) 1 (c) 4 c Let p = -0.76 - -3.86. Let j = -0.1 + p. What is the third smallest value in j, 2/7, 0.3? j Let r = 0 + 0.6. Let w = r + -0.7. Which is the second biggest value? (a) 1/5 (b) w (c) -3/7 b Let p = 105 + -105. Which is the fourth smallest value? (a) 0.1 (b) p (c) -5 (d) 7 d Let l be 26/252 + (-5)/5. Let d = 4/63 + l. Which is the second smallest value? (a) 2/15 (b) d (c) 7 a Let b = 391 - 837/2. Let n = b + 82/3. Let p(f) = -f + 18. Let g be p(17). What is the smallest value in n, g, 2/13? n Let u = 27 + -25. What is the biggest value in u, -0.5, -6? u Suppose -120 = -x - 2*x. Suppose -2*r - 2*r = -4*c + x, 2*r = 3*c - 26. Let s be (-32)/66 - c/(-9). What is the biggest value in 0.4, 3, s? 3 Let o(p) = 5*p - 12. Let d be o(3). What is the third biggest value in d, -1, 2/9? -1 Let z = -8220 - -1438567/175. Let h be ((-12)/(-70))/((-60)/84). Let d = z + h. Which is the second biggest value? (a) -1/4 (b) -2 (c) d a Let j = 75 + -72. Which is the second biggest value? (a) j (b) -2 (c) -1/3 c Let q = -0.3 + 0.3. Let j = q + -4. Let c = 44/3 - 15. What is the biggest value in -0.3, c, j? -0.3 Let d = 0.087 - 0.187. Let l = 0.2 - 0.1. Which is the second biggest value? (a) l (b) -4/9 (c) d c Suppose 3*z - 5 = 8*z + 5*x, 5*x = -2*z - 8. Which is the third biggest value? (a) 0.2 (b) -1/4 (c) z (d) 0.5 a Let g be ((-1)/3)/(1/(-6)). What is the smallest value in g, 3, -1/4? -1/4 Let i = 6 + -10. Let c be i/4 + (-2)/(-3). What is the smallest value in c, -0.4, -3? -3 Suppose -o - 1 = -g - 0*g, -5*g + 10 = 0. Let t be (o/1)/9*-2. Let p = 9 + -4. What is the biggest value in p, t, -0.1? p Suppose -3*g - 3 = -4*n, -4*n - 3 = -5*g - 0. Let q(c) = 5*c - 10*c - c**2 + 0*c**2 - g*c - 8. Let s be q(-7). What is the second biggest value in 3, 0.5, s? 0.5 Let a = 1.8 - 0.8. Let l = -1.12 + 0.12. What is the smallest value in l, -5/6, a? l Let y = 59 - 57.03. Let b = 0.03 + y. What is the third smallest value in 2/5, 0, b? b Let g be 7 + -8 + 14/16. Which is the third biggest value? (a) -1 (b) -0.1 (c) g (d) 0.3 c Let g = 12 - 12.4. What is the fourth smallest value in 0.13, -0.2, g, 0? 0.13 Let l be (-1)/(29/13 + -2). Let k = 2/485 + -5341/1455. Let w = l - k. Which is the third biggest value? (a) 2/3 (b) -3 (c) w b Let u = -7.14 + 7. Let z = -0.54 - u. Which is the biggest value? (a) 0.1 (b) 3 (c) z b Suppose 3*u = -6 - 0. Let t be -1 - (-1)/((-865)/(-1221)). Let m = t - 2/173. Which is the second biggest value? (a) 2 (b) u (c) m c Let d = 0.021 - 4.021. What is the smallest value in d, 0.4, 0, 3? d Let k be 13393499/(-67470) + (-2)/(-3). Let o = -103/4498 + k. Let v = o + 198. Which is the second biggest value? (a) 0.1 (b) v (c) -3 a Let n = 1 - 1.6. Let s = 4 - 4.4. Let z = n + s. Which is the third smallest value? (a) z (b) 5 (c) 3 b Let i = 4.1 - 0.1. Let l = -22.002 + 0.002. Let h = l - -21.6. Which is the second smallest value? (a) 0.01 (b) i (c) h a Let k = -0.6 + 0.8. Let s = 0.01 - -0.29. Let f = s - k. Which is the third biggest value? (a) f (b) 3 (c) 5 a Let w = -0.01 + -0.29. What is the biggest value in -4, w, 0.5? 0.5 Let h = 0.5 - 0.6. Let a = -0.2 + h. What is the second smallest value in 3, 0.2, a? 0.2 Suppose -j = 4*q + 9, 2*j = -0*q + 3*q - 7. What is the smallest value in 1/2, 1/3, -1/10, q? q Let v = 93.7 + -87. Let d = -19 - -12. Let t = d + v. Which is the third biggest value? (a) t (b) 2 (c) 2/13 a Let n = -0.1 + -0.2. Which is the third biggest value? (a) n (b) 1 (c) -5 c Let g = 93/329 - -1/329. Let y = -2.8 - -13.8. Let z = y + -10.8. Which is the smallest value? (a) z (b) 3 (c) g a Suppose a = f - 0*f + 17, 3*f - 2*a + 55 = 0. Let y = f - -20. Let t = 2.8 + -3. What is the biggest value in 0, y, t? 0 Let t = -2.4 - -1.4. Let y = 5 - 3. Let h be (1*y)/(18 + -1). Which is the biggest value? (a) t (b) -2/7 (c) h c Let z = 0.23 - -0.17. Which is the second biggest value? (a) z (b) -3/8 (c) 4 a Let u = -2.3 + 14.3. Let b = u + -16. Suppose 0 = -5*x - 0*x + 5. What is the second smallest value in x, b, 2/11? 2/11 Let d = 27/100 - 1/50. Which is the second smallest value? (a) d (b) 7 (c) -2/11 a Let p = 2 + -10. Let m be (p/(-10))/(4/10). Which is the biggest value? (a) m (b) 1 (c) -2 a Suppose j + 3*j = 12. Suppose -3*p = -j*y + 4*y + 1, 8 = 4*y. Let i be p*(-3 - 6/3). Which is the second biggest value? (a) i (b) 3/5 (c) -3/7 b Let q = -3.891 + -0.109. Which is the second smallest
{ "pile_set_name": "DM Mathematics" }
om {z: 1, s: 2, a: 1}. 1/12 What is prob of sequence eu when two letters picked without replacement from efffu? 1/20 Three letters picked without replacement from {w: 3, v: 7}. What is prob of sequence wwv? 7/120 Three letters picked without replacement from zqeeeeeeqezzeeze. Give prob of sequence eee. 3/14 Three letters picked without replacement from nggguguug. Give prob of sequence uuu. 1/84 What is prob of sequence ovvg when four letters picked without replacement from vvguuo? 1/180 Three letters picked without replacement from {y: 3, a: 1, j: 3}. What is prob of sequence yay? 1/35 Calculate prob of sequence vbs when three letters picked without replacement from psosppppsbpvpppvo. 1/680 Three letters picked without replacement from gggjjg. What is prob of sequence jjg? 1/15 Calculate prob of sequence kkfu when four letters picked without replacement from {f: 4, u: 3, p: 2, k: 2, s: 2}. 1/715 What is prob of sequence tjxt when four letters picked without replacement from ttttttttjxttttt? 1/210 Four letters picked without replacement from {k: 7, c: 1}. Give prob of sequence kckk. 1/8 Calculate prob of sequence ww when two letters picked without replacement from {w: 2, z: 16}. 1/153 Four letters picked without replacement from {p: 2, n: 2, o: 3, w: 3, u: 5}. What is prob of sequence wonw? 1/910 Four letters picked without replacement from sllsswfjlffjffr. What is prob of sequence frsf? 1/546 What is prob of sequence uw when two letters picked without replacement from wwwwwwwwwwwwwwuwww? 1/18 Calculate prob of sequence iii when three letters picked without replacement from mmmmimimimmmimim. 1/56 What is prob of sequence vt when two letters picked without replacement from tvv? 1/3 What is prob of sequence gf when two letters picked without replacement from {r: 1, s: 1, g: 3, f: 2}? 1/7 Two letters picked without replacement from diiddid. Give prob of sequence di. 2/7 Three letters picked without replacement from {j: 1, y: 5, g: 1, d: 9, x: 2}. Give prob of sequence gyx. 5/2448 Two letters picked without replacement from {g: 3, a: 17}. Give prob of sequence gg. 3/190 Three letters picked without replacement from {j: 6, q: 4}. Give prob of sequence jjj. 1/6 Calculate prob of sequence yyyr when four letters picked without replacement from {y: 3, r: 1}. 1/4 Two letters picked without replacement from {f: 2, k: 4, e: 2}. What is prob of sequence ke? 1/7 Four letters picked without replacement from llalealellaa. What is prob of sequence alaa? 2/165 Four letters picked without replacement from {d: 4, j: 3, b: 1, h: 2, l: 3, q: 2}. Give prob of sequence dlhj. 1/455 Calculate prob of sequence vv when two letters picked without replacement from {s: 4, r: 1, o: 6, v: 4}. 2/35 Calculate prob of sequence tt when two letters picked without replacement from {d: 5, t: 3}. 3/28 Three letters picked without replacement from {m: 1, l: 2, t: 3, z: 4, o: 7}. What is prob of sequence ztz? 3/340 Three letters picked without replacement from {a: 2, m: 17}. Give prob of sequence maa. 1/171 Four letters picked without replacement from {c: 6}. Give prob of sequence cccc. 1 What is prob of sequence yyy when three letters picked without replacement from yywyywy? 2/7 What is prob of sequence pe when two letters picked without replacement from jjpejjjejj? 1/45 What is prob of sequence cd when two letters picked without replacement from idcocizdoizocddd? 1/16 Two letters picked without replacement from sssssssnssssssssnn. Give prob of sequence nn. 1/51 Three letters picked without replacement from apajzttpv. What is prob of sequence vza? 1/252 What is prob of sequence ls when two letters picked without replacement from {u: 1, l: 4, s: 2, o: 1}? 1/7 Calculate prob of sequence ym when two letters picked without replacement from {y: 4, m: 2, e: 6}. 2/33 Calculate prob of sequence su when two letters picked without replacement from {s: 1, u: 1, b: 2}. 1/12 What is prob of sequence bfbg when four letters picked without replacement from gbnbbnblbfnnbfb? 1/390 Three letters picked without replacement from ekerbbeookreowb. Give prob of sequence weo. 2/455 What is prob of sequence gng when three letters picked without replacement from gggggngggnggagggg? 91/1020 What is prob of sequence qj when two letters picked without replacement from {a: 1, q: 2, j: 1}? 1/6 Calculate prob of sequence ny when two letters picked without replacement from {y: 1, i: 1, n: 1, c: 2}. 1/20 Calculate prob of sequence wz when two letters picked without replacement from {e: 1, z: 6, w: 1, a: 1}. 1/12 Calculate prob of sequence kpok when four letters picked without replacement from {k: 2, o: 2, p: 1, a: 1}. 1/90 What is prob of sequence mi when two letters picked without replacement from zmziifiiiiiaafiiiiif? 3/95 Four letters picked without replacement from {x: 6, v: 2}. What is prob of sequence xxvx? 1/7 Calculate prob of sequence evv when three letters picked without replacement from {e: 9, v: 7, r: 3}. 21/323 Four letters picked without replacement from {c: 5, b: 3, f: 2, p: 1, x: 8}. Give prob of sequence bxcp. 5/3876 Four letters picked without replacement from {l: 5, g: 5}. What is prob of sequence lggg? 5/84 Calculate prob of sequence oiii when four letters picked without replacement from iioioiiioiiiiii. 11/91 Three letters picked without replacement from ybskykyys. Give prob of sequence kys. 2/63 What is prob of sequence nzk when three letters picked without replacement from kkknkkkzkzkkzkk? 11/910 What is prob of sequence byzg when four letters picked without replacement from zzbssszyzgz? 1/1584 Two letters picked without replacement from {q: 1, h: 2, d: 2, p: 1}. Give prob of sequence ph. 1/15 What is prob of sequence sss when three letters picked without replacement from {s: 9}? 1 Calculate prob of sequence eb when two letters picked without replacement from {r: 3, b: 4, e: 9}. 3/20 Three letters picked without replacement from {u: 3, v: 2, j: 2, z: 6, o: 1, k: 6}. What is prob of sequence uoz? 1/380 What is prob of sequence dzz when three letters picked without replacement from {z: 3, d: 2}? 1/5 What is prob of sequence lhd when three letters picked without replacement from {h: 1, d: 5, w: 9, l: 3}? 5/1632 Four letters picked without replacement from {d: 3, n: 6, s: 2, b: 1, m: 1}. What is prob of sequence ddmd? 1/2860 Four letters picked without replacement from {g: 2, j: 4, w: 4}. What is prob of sequence jgjj? 1/105 What is prob of sequence shvi when four letters picked without replacement from {v: 1, b: 1, h: 1, i: 1, s: 1}? 1/120 Three letters picked without replacement from vvygvgyfvyvyvfgyv. What is prob of sequence yfv? 7/408 Three letters picked without replacement from lylnlldwyd. Give prob of sequence ldw. 1/90 Two letters picked without replacement from {e: 7, f: 6, p: 6}. What is prob of sequence ff? 5/57 What is prob of sequence qs when two letters picked without replacement from ttwvstwvwqvttsvtw? 1/136 Calculate prob of sequence bo when two letters picked without replacement from vfovojovfoojvfbvoj. 1/51 Two letters picked without replacement from {h: 2, n: 3, w: 3}. What is prob of sequence wn? 9/56 Two letters picked without replacement from {v: 2, d: 7, p: 3, s: 5}. What is prob of sequence ss? 5/68 Two letters picked without replacement from {w: 4, a: 3, u: 3, h: 7, r: 2}. What is prob of sequence aw? 2/57 Two letters picked without replacement from {i: 1, d: 2, l: 1, a: 2, y: 1}. Give prob of sequence la. 1/21 What is prob of sequence kzz when three letters picked without replacement from {k: 2, b: 6, z: 4}? 1/55 Calculate prob of sequence gg when two letters picked without replacement from {h: 8, t: 4, g: 8}. 14/95 Calculate prob of sequence jjs when three letters picked without replacement from bjbbjssjbjbjjbjb. 1/40 What is prob of sequence wdee when four letters picked without replacement from sderskrsdsskrekwrsrs? 1/29070 What is prob of sequence bb when two letters picked without replacement from ububbuubbuubbubbbubu? 11/38 Two letters picked without replacement from {p: 3, f: 2, t: 6, h: 2}. What is prob of sequence fp? 1/26 Calculate prob of sequence zv when two letters picked without replacement from {w: 2, z: 3, v: 3}. 9/56 Two letters picked without replacemen
{ "pile_set_name": "DM Mathematics" }
aluate (1/4)/(1/(-2)). -1/2 Calculate ((-162)/108)/((-3)/(-4)). -2 Calculate -2*(7/((-28)/6))/1. 3 Evaluate ((-4)/6)/(30/36*-4). 1/5 Calculate 4/1*(-180)/(-576). 5/4 What is the value of (7*6/14)/3? 1 Calculate 4/1*4*2/(-208). -2/13 What is -2*(-1)/(-2)*1/(-5)? 1/5 What is 3/((-231)/44)*1? -4/7 Calculate (-55)/11*(-2)/(-15). -2/3 What is the value of 2*2*4/(-40)? -2/5 What is (9/(-27))/(3/(81/3))? -3 -3*(5/1*-1)/(-3) -5 Calculate 3*-2*17/1683*-11. 2/3 What is the value of ((-525)/(-225))/(1/(6/(-4)))? -7/2 Evaluate (-434)/124*(-2)/7. 1 What is the value of 14/(-14)*15/3? -5 Calculate 360/150*(-10)/8*-2. 6 What is the value of 35/14*(-2)/(-55)? 1/11 Evaluate -2*-2*4/32. 1/2 What is (-35)/28*8/20? -1/2 Calculate (88/154)/((-9)/21). -4/3 What is (4/(-9))/((-6)/54)? 4 What is the value of 1*-1*(-8)/8*5? 5 Calculate ((64/(-24))/2)/2. -2/3 What is ((-12)/35)/((160/(-35))/16)? 6/5 Calculate (-4)/14*(-238)/34. 2 What is the value of (-12)/9*-9*1/(-6)? -2 (-52)/182*9/6 -3/7 Evaluate (24/28)/(-3*4/84). -6 What is (-3)/(-12)*4*-3? -3 Evaluate (8/(-32))/(6/8)*9. -3 (1/(-2))/(((-25)/40)/(-5)) -4 6/90*(-8)/20*-5 2/15 What is (-3)/(-12)*88/143? 2/13 What is (80/(-30))/(14/(-3))? 4/7 What is -1*30/4*10/(-15)? 5 What is (-30)/4*18/(-54)*2? 5 36/(-16)*2*(-3)/(-9) -3/2 What is ((-9)/(-9))/(4/(-4))? -1 What is (-12)/(-10)*195/(-117)? -2 What is the value of (4/16)/((-18)/576)? -8 What is the value of (((-364)/(-52))/((-1)/(-1)))/1? 7 Calculate ((-6)/(-8))/(25/(-20)). -3/5 What is the value of -1*((-126)/6)/7? 3 (5/(-1))/(-15)*0 0 Calculate (5/(4/(8/2)))/1. 5 Evaluate (532/665)/((-6)/(-10)). 4/3 Evaluate 6*-15*9/162. -5 84/(-108)*4/14 -2/9 What is 8/16*2/(-5)? -1/5 11/((-165)/(-135))*(-1)/3 -3 What is (3/(-9))/((-2)/6)*7? 7 1*(((-80)/(-12))/(-4))/1 -5/3 What is the value of 8/(-6)*231/(-44)? 7 Calculate ((-2)/4)/(10/15). -3/4 Calculate (4/3)/((-20)/(-45)). 3 3/((6/(-10))/((-2)/50)) 1/5 (-2)/(4/5*(-2925)/(-234)) -1/5 Evaluate (10*1/5)/(2/(-1)). -1 Evaluate (1*(-4)/6)/((-394)/2364). 4 Evaluate ((-16)/(-24))/((-10)/6). -2/5 What is the value of (4/(-10))/((-1)/2)? 4/5 Evaluate (((-80)/(-3))/(-16))/5. -1/3 What is the value of ((-3)/(-4))/((-324)/576)? -4/3 What is the value of 2/(-5)*(-90)/48? 3/4 What is (-2)/(((-2)/(-12))/(5/(-20)))? 3 Calculate (((-90)/(-5))/6)/(-1). -3 (3/(-18))/((33/(-44))/(-3)) -2/3 What is (-3)/4*656/492? -1 Calculate ((-168)/(-12))/((-6)/3). -7 Calculate -2*9/54*-9. 3 What is the value of (-2)/(((-2)/(-9))/((-26)/78))? 3 What is the value of -5*(-5)/15*-3? -5 Evaluate 140/56*12/(-55). -6/11 What is the value of (-6)/(2*-1)*(-4)/4? -3 Calculate (((-20)/(-5))/4)/((-30)/(-18)). 3/5 Evaluate (4/6)/((-191)/573). -2 What is -10*-4*(-10)/(-80)? 5 -3*5/(15/2) -2 4/6*(90/(-32))/5 -3/8 ((-11)/2)/((120/(-16))/(-5)) -11/3 Evaluate 3/((-33)/(-11))*0. 0 What is the value of 3/5*(-80)/(-216)? 2/9 8/2016*7*4 1/9 ((42/(-9))/(-7))/(-2) -1/3 Evaluate (-3)/6*(-7)/(21/(-30)). -5 Calculate 0/1*46/(-92). 0 What is (-18)/12*(-8)/3? 4 -1*6*2/24*-6 3 What is ((-60)/(-72))/((-3)/(-18))? 5 What is the value of (16/10)/((-996)/(-830))? 4/3 ((-10)/15)/(10/(-15)) 1 Evaluate 26/((-598)/69)*(-1)/1. 3 Calculate -1*(-3)/(-9)*-1*-2. -2/3 (-9)/450*5*-6 3/5 What is (6*1/18)/(1/6)? 2 Calculate ((-16)/(-28))/(-3*(-1)/21). 4 Calculate 40/90*(-6)/(-8). 1/3 Calculate ((-972)/(-1134))/(6/(-56)). -8 What is the value of ((-1)/1)/(-2*(-6)/3)? -1/4 Evaluate ((-15)/(-21))/((-27)/(-189)). 5 Calculate ((-2)/(-35))/(26/(-130)). -2/7 What is the value of ((-2)/6)/(1/1)? -1/3 What is the value of ((-4)/(-20))/((-24)/30)? -1/4 What is the value of ((-2)/(-5))/(24/10)? 1/6 4*((-9)/(-12))/3 1 (22/(-55))/((-16)/(-10)) -1/4 ((-10)/24)/(3/12) -5/3 What is the value of (-9)/12*-2*(-36)/(-243)? 2/9 What is the value of (26/351)/((-4)/(-12))? 2/9 Evaluate ((-2)/(-6))/(12*16/2880). 5 ((-2)/5)/(21*7/105) -2/7 What is 2/(-4)*(-378)/(-27)? -7 What is 10/(-4)*(-13)/975*-24? -4/5 What is ((-186)/124)/((-1)/((-6)/21))? -3/7 (-1)/(8/120*-5) 3 Evaluate (20/((-12)/3))/((-3)/(-3)). -5 Evaluate ((-1*1)/4)/((-43)/516). 3 Calculate (5*1)/(9/9). 5 What is ((-12)/(-10))/(2/5)? 3 Evaluate ((-4)/(-10))/(((-242)/220)/(-11)). 4 What is the value of ((-40)/(-20))/(((-2)/(-1))/4)? 4 (-324)/864*4/(-6) 1/4 What is the value of (-1*2)/(40/((-64)/(-8)))? -2/5 Calculate 16/(-120)*5/6. -1/9 Calculate 0/8*3/6. 0 Evaluate (4/6)/((-36)/27). -1/2 Calculate ((-175)/20)/((-25)/10)*-2. -7 (10/(520/(-13)))/((-10)/16) 2/5 Evaluate (2/3)/((-3350)/402). -2/25 What is the value of (20/45)/((-22)/(-297))? 6 What is (8/192*-8)/((-2)/(-36))? -6 What is (2/(-135))/((-1)/5)*3? 2/9 What is the value of ((-2)/(-3))/(8/36)? 3 What is the value of 7/(-10)*16/(-56)? 1/5 What is the value of (-1)/(2*3/6)? -1 What is the value of (-45)/(-25)*(240/(-9))/8? -6 What is -5*-5*12/75? 4 Evaluate ((-16)/(-28)*-1)/(18/63). -2 30/(-9)*4/8*-3 5 What is the value of 4*2*(-40)/(-64)? 5 What is the value of (3/1)/(-4*15/(-60))? 3 Evaluate (-49)/(-14)*10/5*-1. -7 (2/20)/((-21)/(-63)*-1) -3/10 Calculate ((-56)/42)/(20/15). -1 What is (((-133)/(-84))/19)/(6/(-16))? -2/9 Evaluate (4/9)/(504/324). 2/7 Evaluate (-12)/24*24/4. -3 (7/21)/(3/36) 4 What is ((-140)/(-735))/((-9)/42*-2)? 4/9 3/(-2)*(-12)/(-99) -2/11 Evaluate -2*(-2)/(-12)*15. -5 Calculate (513/570)/(2/(-16)*-6). 6/5 Evaluate 21/7*(-5)/30. -1/2 2*-2*-6*(-1)/24 -1 ((-2)/4)/((-105)/(-90)) -3/7 What is 3/10*(-123)/369? -1/10 Evaluate (-58)/87*(-3)/7. 2/7 What is ((-2)/14)/((77/(-11))/14)? 2/7 1*1/(2/4) 2 Evaluate (((-1)/1)/1)/((-102)/306). 3 Evaluate ((-14)/(-49))/((-4)/(-2)*-1). -1/7 Calculate 2/(-4)*(-1572)/1834. 3/7 What is the value of ((-268)/938)/(((-18)/21)/(-2))? -2/3 What is (19/((-247)/(-78)))/10? 3/5 Evaluate (((-4)/5)/(-2))/(24/(-45)). -3/4 What is (8*-1)/(8/8)? -8 Evaluate (25*(-12)/(-480))/(10/12). 3/4 What is 8/28*7/4*1? 1/2 Calculate (10/15)/((-2)/9). -3 What is the value of (-39)/3*90/(-2925)? 2/5 Calculate (7/(-7))/((-6)/(-18)). -3 Evaluate ((-8)/(-6))/((-23)/69). -4 Calculate ((63/7)/(-45))/(7/5). -1/7 Calculate 4/42*7*3. 2 What is (2/12)/(((-24)/(-9))/8)? 1/2 What is the value of ((-10)/24)/((-25)/(-10))? -1/6 (2/6*-2)/((-12)/18) 1 What is the value of (-18)/(-6)*(-10)/(-165)? 2/11 Evaluate (-42)/6*(-12)/(-42). -2 What is the value of (2/18)/((-70)/(-630))? 1 Calculate ((-112)/(-70))/((-2)/5). -4 Evaluate (-25)/60*(-4)/10. 1/6 What is ((10/14)/(-5))/(2/6)? -3/7 What is the value of (1/(-14))/(6*7/(-84))? 1/7 What is ((-192)/(-224))/((-4)/(-7))? 3/2 Calculate 5/4*124/(-620). -1/4 What is the value of 50/(-5)*(-7)/70? 1 What is 6/(-25)*15/(-9)? 2/5 What is ((-25)/(-15))/(35/14)? 2/3 (-8)/((-160)/(-105))*(-48)/36 7 What is 0/(((-9)/(-27))/((-1)/9))? 0 What is the value of ((-10)/(-15))/((16/6)/(-2))? -1/2 Calculate ((-1)/4*-1)/(90/(-90)). -1/4 Evaluate -2*1*16/(-144). 2/9 What is the value of (-12)/(-68)*(-6)/(-9)? 2/17 What is the value of ((-10)/(-5))/(-6)*15? -5 3/2*(-74)/222 -1/2 3/(-15)*-2*6/(-3) -4/5 2/(-54)*(-24)/4 2/9 What is the value of 2/(-4*10/160)? -8 What is the value of -7*(12/(-7))/(-6)? -2 Evaluate 3/(-3)*30/10. -3 Evaluate (-2)/12*6/(-4). 1/4 (-21)/(-12)*2*7/(-49) -1/2 3*12/(-21)*13/26 -6/7 What is the value of (-55)/(-22)*(-4)/15? -2/3 Calculate 6/(-8)*72/135. -2/5 What is the value of (20/(-20))/(3/24)? -8 What is the value of 1/(-2)*0/2? 0 What is the value of ((-5)/10)/((15/3)/(-10))? 1 (-12)/(-104)*4/3 2/13 Evaluate 1/12*(-5)/(10/6). -1/4 What is the value of ((-1)/2)/(5/((-900)/(-15)))? -6 What is the value of 1/(-5)*5*4? -4 Calculate ((-20)/(-20))/(1*6)*30. 5 What is ((-1)/(8/1))/(2/4)? -1/4 Evaluate (10/4)/((-5)/80*-8). 5 Calculate ((-18)/15)/((-12)/(-40)). -4 10*(5/10)/(-1) -5 Evaluate ((-2)/10)/(26*(-5)/(-975)). -3/2 (-4)/3*(-84)/(-112) -1 What is the value of (9*3/54)/3? 1/6 Calculate (8/(-12))/(((-56)/(-6))/2). -1/7 What is ((-17)/(-34))/((-8)/(-6))? 3/8 Evaluate ((-32)/56)/(-2)*-1. -2/7 Evaluate ((-2)/(-51))/(10/60*2). 2/17 Evaluate (3/(-3))/(3/12). -4 Evaluate ((-78)/(-91))/(128/(-56)). -3/8 Evaluate -3*12/45*10/28. -2/7 What is the value of (-8)/(-9)*1/(-4)? -2/9 What is ((-6)/(-30))/(2/(-4))? -2/5 What is the value of ((-1)/(-3))/(6/(720/(-8)))? -5 What is the value of (60/75)/(1*2/(-10))? -4 What is the value of 8/(-28)*9/6? -3/7 Evaluate -1*((-2)/8)/((-9)/(-3
{ "pile_set_name": "DM Mathematics" }
53*o**3 - 61*o**2 + 743*o - 7 wrt o. -318*o - 122 What is the second derivative of -209*u**5 - 2*u**3 - 282*u**2 + 2179*u - 24 wrt u? -4180*u**3 - 12*u - 564 Differentiate 18*i**2*n**2 - 119253*i**2 - 4636*i*n**3 - 2*i + 1 with respect to n. 36*i**2*n - 13908*i*n**2 Find the second derivative of 1459274*z**4 - 5*z - 67741. 17511288*z**2 Find the third derivative of 2*s*y**5 - 36512*s*y + 351504*y**4 + y**2 wrt y. 120*s*y**2 + 8436096*y Find the third derivative of j**4*m**3 + 1685*j**3*m**2 - 13*j**3*m + 6*j**2*m**2 - j**2 + 11938*m**3 wrt j. 24*j*m**3 + 10110*m**2 - 78*m Find the third derivative of -12843*u**3 + 157*u**2 + 30. -77058 What is the third derivative of 22474*v**6 - 2*v**3 - v**2 - v + 4369? 2696880*v**3 - 12 What is the third derivative of 4*a**4 + 15413*a**3 - 94655*a**2? 96*a + 92478 What is the third derivative of -2*f**5 - 832*f**3*m - 5*f**3 + 17*f**2*m - 1968*m wrt f? -120*f**2 - 4992*m - 30 Find the third derivative of 19627*i**5*t - i**5 + 6*i**2 - 885*i*t - 2*i + t - 14 wrt i. 1177620*i**2*t - 60*i**2 Find the first derivative of 97987*o**4 + 48747. 391948*o**3 What is the second derivative of -411968*n**2*o - n**2 + 520034*n*o + 2*n wrt n? -823936*o - 2 Find the second derivative of -2*u**5 + 9257*u**4 + 25902*u. -40*u**3 + 111084*u**2 Find the second derivative of -70823*s**4 - 55897*s wrt s. -849876*s**2 Find the first derivative of -4862809*t**4 - 3482914. -19451236*t**3 Find the first derivative of -232*m**2*x - 2*m**2 - 65439*m + 1281*x wrt x. -232*m**2 + 1281 Find the second derivative of -1783448*w**2 - 3*w + 20814. -3566896 What is the derivative of -166416*x + 1955778? -166416 Find the third derivative of -11037*f**6 - 6*f**4*h - 2754*f**2*h - 3*f**2 wrt f. -1324440*f**3 - 144*f*h What is the first derivative of 28294*b**2 + 593 wrt b? 56588*b What is the second derivative of -72323*n**3 - 2*n**2 + 2131*n + 18? -433938*n - 4 Find the first derivative of -1736*a*o + 19*a - o - 489 wrt o. -1736*a - 1 Find the third derivative of 8870*d**6 + d**4 + 350*d**2 - 3*d + 1 wrt d. 1064400*d**3 + 24*d What is the third derivative of -473943*c**5 - 6*c**2 - 62*c - 36 wrt c? -28436580*c**2 What is the third derivative of 43*d**4 + 1469*d**3 + 846319*d**2? 1032*d + 8814 What is the third derivative of 2*v**5 - 34519*v**3 + 257241*v**2 wrt v? 120*v**2 - 207114 Differentiate 355086*k**2 + 84597 wrt k. 710172*k Find the second derivative of -96463*g*x**2 - 67*g*x + 2*g + 11*x - 3 wrt x. -192926*g Find the third derivative of -10137*o**2*x**5 + 26*o**2*x**3 + 245389*o**2*x**2 + x**2 wrt x. -608220*o**2*x**2 + 156*o**2 What is the third derivative of -2*m**4*r - 123*m**4 - 3*m**3*r - 241*m**3 + 25*m**2*r + 1711*m**2 - 2*r wrt m? -48*m*r - 2952*m - 18*r - 1446 What is the third derivative of -2936*m**4*o - 3*m**4 + 11*m**3*o - m**2*o + 2*m**2 - 18519*o + 1 wrt m? -70464*m*o - 72*m + 66*o Find the third derivative of -1641426*g*q**5 - 3340206*g*q**2 wrt q. -98485560*g*q**2 What is the first derivative of 5166*q*s*v**3 - 24*q*s*v + 23503*q - 6*v**3 wrt s? 5166*q*v**3 - 24*q*v What is the derivative of 2651063*f - 3856858? 2651063 What is the second derivative of -10932*o**2*x**2 + 144093*o**2*x - 82*x**2 wrt x? -21864*o**2 - 164 What is the third derivative of a**3*n**3*y + 5*a**3*n**3 - 6064*a**3*n*y + 2*a**2*n**3 - 41*a**2*n*y - 2*a**2*n + 6*a*n**3*y + n*y wrt a? 6*n**3*y + 30*n**3 - 36384*n*y Find the second derivative of 3*i**5 + i**4 - 186*i**2 - 2*i - 15084 wrt i. 60*i**3 + 12*i**2 - 372 What is the third derivative of -128*o**5*t**3 + 49*o**5*t + 223456*o**2*t**3 wrt o? -7680*o**2*t**3 + 2940*o**2*t Differentiate -499*q**4 - 1294*q + 5096947. -1996*q**3 - 1294 Find the third derivative of 2*f**5 + 15553*f**4 - 2*f**3 - 8972*f**2 wrt f. 120*f**2 + 373272*f - 12 What is the derivative of -2366*a**2*f**3 - 35*a*f*x + 2*f**3*x + x - 32915 wrt a? -4732*a*f**3 - 35*f*x What is the third derivative of -461*b*n**4*u**2 - 100*b*n*u**2 + 2*b*n + 14*n**5*u + 2*n**2 - 7*n*u - u**2 wrt n? -11064*b*n*u**2 + 840*n**2*u Differentiate h**3*p - 25*h*p + 53*h - 17935*p wrt h. 3*h**2*p - 25*p + 53 What is the third derivative of 2*j**5 - 471167*j**4 + 30*j**2 - 1146*j - 2 wrt j? 120*j**2 - 11308008*j What is the second derivative of -2*g**5*q*w + 24725*g**5*w - 6*g*q*w + 4*g*q + 2*g*w + g + 3*q*w + 90 wrt g? -40*g**3*q*w + 494500*g**3*w What is the third derivative of 859998*n**4 - 7*n**2 - 958*n + 6 wrt n? 20639952*n Find the third derivative of 283*c**4*t + 15*c**3*k*t**2 + 2*c**3*k + 86*c**2*k*t - c**2*t - 2*c*t**2 + 25*k*t**2 wrt c. 6792*c*t + 90*k*t**2 + 12*k Find the second derivative of -23*u**3 - 31861*u**2*v - 2*u*v - 6*u + 4351*v + 4 wrt u. -138*u - 63722*v Find the second derivative of -168*m**5 + 12*m**3 + 5*m**2 + 14626*m - 2. -3360*m**3 + 72*m + 10 Find the second derivative of -156*d**5 - 4*d**4 - 8*d**3 + 11225*d. -3120*d**3 - 48*d**2 - 48*d Differentiate 4*d**2*g**2 - 2228075*d**2 + 241358*d*g**3 with respect to g. 8*d**2*g + 724074*d*g**2 Find the third derivative of -253634*l**5*z + 3*l**2*z + 93*l**2 + l*z + l wrt l. -15218040*l**2*z What is the third derivative of 230165*n**3 + n**2 - 1290*n + 53 wrt n? 1380990 Find the second derivative of -n**3 + 68*n**2 - 22306*n - 4 wrt n. -6*n + 136 Differentiate 206864*t**2 - 158224. 413728*t What is the second derivative of -2208*r**3 + r**2 + 47431*r - 27? -13248*r + 2 Find the first derivative of 285*o**2*u + 7*o**2 + 137*o*u - o - 4*u + 343369 wrt u. 285*o**2 + 137*o - 4 Differentiate 2*g**3 + 896*g**2 - 536*g - 906246 with respect to g. 6*g**2 + 1792*g - 536 What is the third derivative of 11*n**3*y**2 - 6595*n**3*y + n**2*y**2 + 40*n**2 - 1103 wrt n? 66*y**2 - 39570*y What is the derivative of 38*n**3*p - 17*n**3 - 12*n**2*p + 2*n**2 + 36*n*p + 175*n + 2*p + 3 wrt p? 38*n**3 - 12*n**2 + 36*n + 2 Find the first derivative of -417863*o - 278303. -417863 What is the second derivative of -72726*j**2 - 11*j - 1802? -145452 What is the third derivative of 966824*k**3 - 96*k**2 + 4015*k + 1 wrt k? 5800944 Find the first derivative of -1089975*t - 597150. -1089975 Find the third derivative of 137785*b**3*n**3 + b**2*n**3 + n**3 + 6613*n wrt b. 826710*n**3 What is the first derivative of -2584*q**2 + 82*q + 3890187 wrt q? -5168*q + 82 Find the first derivative of -2*a*g**3 + 2*a*j**3 + 5886*a*j**2 - 11*g**3 + 6*g**2 + 2*g*j**3 wrt a. -2*g**3 + 2*j**3 + 5886*j**2 Differentiate 7837*m**3*o**3 + 12419*m**3 - 3*m**2*o**4 with respect to o. 23511*m**3*o**2 - 12*m**2*o**3 What is the second derivative of 3*i*u**4 - 1174*i*u**3 - i*u + 14*i + 3*u**2 + 66*u + 1 wrt u? 36*i*u**2 - 7044*i*u + 6 What is the second derivative of 21*b**4 + 7*b**3 + b**2 - 1245135*b? 252*b**2 + 42*b + 2 What is the first derivative of -236582*g**3 - 3*g**2 + 2415252 wrt g? -709746*g**2 - 6*g Find the third derivative of 28937*o**4 - 100*o**2 - 98. 694488*o What is the third derivative of -40362*p**3 + 190*p**2 - 103*p wrt p? -242172 What is the second derivative of -7*f**2*r**2*w - 4*f**2*r*w - 2*f**2*w + 76*f*r*w - 3*r**2*w - 193*r**2 + r*w - 29*w - 1 wrt r? -14*f**2*w - 6*w - 386 What is the first derivative of 376191*t**2*v + 114614*t**2 wrt v? 376191*t**2 Find the second derivative of 2*i**3*y**2 + i**3*y + 2*i**3 + 2617*i**2*y**2 - 10*i**2*y + 3*y**2 - 570*y - 1 wrt y. 4*i**3 + 5234*i**2 + 6 Find the second derivative of -249517*x**5 + 528308*x wrt x. -4990340*x**3 Find the second derivative of -112732*q**2 + 141068*q wrt q. -225464 What is the third derivative of -53017*t**6 - 7*t**2 - 1510*t? -6362040*t**3 What is the second derivative of -209033*p**2 - 2*p - 97174 wrt p? -418066 Find the third derivative of -3*j**5 + 2375*j**3 + 18*j**2 - 448*j + 1. -180*j**2 + 14250 What is the second derivative of -44593*u**2 + 174*u + 124? -89186 Find the second derivative of -k*l**3 - 788*k*l**2 - 3371906*k*l + k - 11*l**3 - l**2 wrt l. -6*k*l - 1576*k - 66*l - 2 Find the third derivative of 90429*f**3 + 51699*f**2. 542574 What is the third derivative of -2*i*j**4 + 2147*i*j**2 - 2787*j**5 - 7*j**3 - 15*j**2 + j wrt j? -48*i*j - 167220*j**2 - 42 What is the third derivative of 2*q**6 - 7*q**5 + 721*q**3 - 16220*q**2? 240*q**3 - 420*q**2 + 4326 Find the third derivative of 2*f**6 - 16*f**4 + 49*f**3 - 44*f**2 + 684. 24
{ "pile_set_name": "DM Mathematics" }
Let h(d) = 70090*d. Let m(s) = 473*c(s) - 2*h(s). Determine f(m(q)). 602*q Let o(h) = 46 - 23 + 24*h - 10*h - 23 - 11*h. Let a(w) = -7*w - 2. Let d(t) = 6*t + 2. Let m(r) = -4*a(r) - 5*d(r). Calculate m(o(u)). -6*u - 2 Let i(b) = 1324*b. Let t(k) = -2460*k. Give t(i(r)). -3257040*r Let k(n) be the first derivative of -62/3*n**3 + 2*n + 0*n**2 - 122. Let f(u) = u - u**2 - u. What is k(f(j))? -62*j**4 + 2 Let w(c) be the third derivative of -c**4/12 + 23*c**2. Let g(d) = 26205*d**2 + 26197*d**2 - 52377*d**2. What is g(w(l))? 100*l**2 Let r(t) = -3*t. Let j(z) = -6*z**2 - 1978. What is j(r(k))? -54*k**2 - 1978 Let a(j) = 2*j. Let i(p) = -p**2 + 12*p - 22. Let t be i(12). Let q(u) = 23*u + 8. Let w(c) = t*a(c) + 2*q(c). Let o(y) = -y**2. Determine o(w(l)). -4*l**2 - 64*l - 256 Let u(c) be the second derivative of 22*c**3/3 - 7*c**2/2 - 28*c. Let l(s) = 30*s - 4. Let h(t) = -8*l(t) + 5*u(t). Let k(n) = 2*n**2. Calculate k(h(o)). 800*o**2 + 240*o + 18 Let g(z) = -184487*z. Let x(q) = 14*q. Give x(g(o)). -2582818*o Let r(w) be the second derivative of -11/12*w**4 + 0*w**3 + 10 + 5/2*w**2 + 2*w. Let a(d) = -d. Give a(r(j)). 11*j**2 - 5 Let o(d) be the third derivative of 1/20*d**5 + 0*d**4 + 0*d + d**2 + 0*d**3 + 79. Let z(g) = 13*g. Give o(z(a)). 507*a**2 Let n(f) = 2*f - 6802. Let x(u) = -485*u. What is n(x(c))? -970*c - 6802 Let n(w) = 26683*w. Let h(b) = 803*b**2. What is n(h(q))? 21426449*q**2 Let v(f) = -128137*f**2 - 3 + 128095*f**2 + 3. Let u(g) = -4*g. What is u(v(m))? 168*m**2 Let t(u) = 20*u. Let q(r) = -617879*r. What is t(q(w))? -12357580*w Let s(p) = 2*p. Let k(u) be the first derivative of 6*u + 6 + 1/4*u**4 + 0*u**2 + 0*u**3. Let m(t) be the first derivative of k(t). Determine m(s(v)). 12*v**2 Let p(o) = 2*o. Let d(w) = 12*w. Let g(c) = -2*d(c) + 14*p(c). Let z(j) = j**3 - 11*j**2 + 2*j - 5. Let f be z(11). Let n(r) = -r + 17 - f. Give n(g(v)). -4*v Let b(y) = -y**2. Let s(o) = -14*o + 2. Let n(m) = 4796*m - 654. Let q(f) = -n(f) - 327*s(f). Determine q(b(g)). 218*g**2 Let a(n) = -9729*n + 846. Let l(g) = 139*g - 12. Let h(o) = 4*a(o) + 282*l(o). Let r(j) = -6*j. What is h(r(b))? -1692*b Let q(p) be the first derivative of 2*p**2 + 5. Let o(u) = -21*u**2 - 7*u - 6. Let x(c) = -18*c**2 - 6*c - 5. Let y(v) = 5*o(v) - 6*x(v). What is q(y(l))? 12*l**2 + 4*l Let h(j) = 27*j + 14. Let a(w) = -54*w - 29. Let f(i) = 6*a(i) + 10*h(i). Let g(z) = 19*z + 12. Let u(s) = 6*f(s) + 17*g(s). Let x(m) = -44*m**2. Give u(x(n)). 44*n**2 Let s(q) = -103*q + 2. Let r(a) = 10754*a - 209. Let m(c) = 6*r(c) + 627*s(c). Let v(l) = 7*l. Give v(m(i)). -399*i Let n(q) = 2*q. Let l(m) be the first derivative of -26*m + 10/3*m**3 + 0*m**2 + 21. Let k(r) be the first derivative of l(r). Calculate n(k(s)). 40*s Let d(w) be the third derivative of -w**6/360 - 43*w**3/6 - w**2 - 3*w. Let t(a) be the first derivative of d(a). Let c(l) = 28*l**2. Give c(t(y)). 28*y**4 Let l(y) = y**2. Let z(b) = -2*b + 1620. Let a(n) = -819. Let k(h) = 5*a(h) + 2*z(h). Determine l(k(v)). 16*v**2 + 6840*v + 731025 Suppose 2*i - 56 = -4*v, -4*i = -v - 75 - 19. Let c(j) = i + 5 + j - 29. Let q(m) = -48*m**2. Calculate q(c(s)). -48*s**2 Let j(a) = -174*a**2. Let u(x) = -28*x - 1309. What is u(j(q))? 4872*q**2 - 1309 Let f be (-77)/(-35) + 1/(-5). Let t(u) = -f*u + u + u - 2*u. Let b(k) be the first derivative of k**3 - 24. What is b(t(n))? 12*n**2 Let g(d) = -26*d. Let r(s) = -2*s - 10. Suppose 31*q = 30*q + 4. Let f(z) = -z - 8. Let j(a) = q*r(a) - 5*f(a). What is g(j(n))? 78*n Let r(c) = 234*c + 193. Let g(b) = 29*b. What is r(g(m))? 6786*m + 193 Let z(h) = -h - 6. Let o be -35*(40/(-260) + (-98)/(-130)). Let w(b) = -12*b - 63. Let x(f) = o*z(f) + 2*w(f). Let u(t) = 24*t. Give x(u(p)). -72*p Let y(l) = -3*l + 1. Let m(k) = 13*k - 5. Let j be (-4 - (-1 - 4))*-5. Let q(d) = j*y(d) - m(d). Let c(w) = 4*w. Calculate c(q(i)). 8*i Let h(o) = -65*o + 8. Let y(g) = -730*g + 90. Let s(z) = -45*h(z) + 4*y(z). Let c(q) = 17*q**2 - 1. Determine s(c(n)). 85*n**2 - 5 Let c(k) = -2*k + 17. Let b(t) be the first derivative of 133*t**3/3 + 6919. Calculate c(b(m)). -266*m**2 + 17 Let m(y) = 17*y**2. Let n(o) = -263*o**2 + 2*o - 177. Give n(m(z)). -76007*z**4 + 34*z**2 - 177 Let c(o) = -4*o + 2. Let j(f) = -1205048*f. Determine j(c(l)). 4820192*l - 2410096 Let q(v) = -307*v + 23. Let k(i) = i - 103. Give q(k(h)). -307*h + 31644 Let k(t) be the second derivative of 2*t**3/3 + 1416*t + 1. Let f(m) be the second derivative of 32*m**3/3 + 7*m + 1. Determine f(k(l)). 256*l Let s(b) = -5282*b**2. Let v(o) = -12222*o. Give v(s(w)). 64556604*w**2 Let f(r) = -21*r**2. Let t be 2 - (4 - (6 - (-6)/3)). Let a be (((-24)/7)/t)/(2/(-7)). Let u(i) = 872*i**2 - a + 2 - 869*i**2. Calculate f(u(x)). -189*x**4 Let s(h) = 141*h**2. Let l(y) be the first derivative of 2*y**2 + 2984. Calculate s(l(i)). 2256*i**2 Let g(s) = 2*s. Let a(h) = -460*h**2 - 45*h + 45. Let x(y) = -2*y**2 - 11*y**2 + 4 - 4*y - 20*y**2 - 9*y**2. Let d(c) = -4*a(c) + 45*x(c). What is d(g(k))? -200*k**2 Let x(w) = -10*w + 4. Let u(d) be the second derivative of -7*d**3/6 + 90*d - 4. Calculate x(u(t)). 70*t + 4 Let h(w) be the second derivative of -3*w**3/2 - 12*w. Let v(r) be the first derivative of -2*r**2 + 669. What is v(h(d))? 36*d Let d(u) = -4*u + 114. Let h be d(21). Let f(k) = h*k**2 + 39*k**2 + 33*k**2 - 103*k**2. Let y(x) = 15*x. What is y(f(a))? -15*a**2 Let q(w) = 5522203*w. Let g(s) = 4*s**2. Calculate g(q(v)). 121978903892836*v**2 Suppose -5*g = -11 - 99. Let d(n) = -33*n - g*n + 36*n. Let f(t) = t**2 - 15*t + 15*t. Determine f(d(q)). 361*q**2 Let y(n) = -22*n. Let g = -155 + 157. Let l(b) = 3*b**2. Let p(j) = -2*j**2. Let x(q) = g*p(q) + l(q). Determine x(y(w)). -484*w**2 Let o(n) = 60*n**2 + 10*n. Let l(c) = -31*c**2 - 6*c. Let j(u) = 5*l(u) + 3*o(u). Let w(f) be the second derivative of 5*f**4/12 + 19*f. What is w(j(p))? 3125*p**4 Let d(p) = 4*p. Let k(j) = j**3 - 18*j**2 + 17*j + 2. Let c be k(17). Let v(z) = 3*z**2 - 15*z**c + 0*z**2 + 9*z**2. What is v(d(b))? -48*b**2 Let t(x) be the second derivative of -3*x**3 - 58*x. Let y(f) = -6*f + 5. Let o(a) = -a + 1. Let m = 23 + -24. Let n(j) = m*y(j) + 5*o(j). Calculate t(n(k)). -18*k Let w(l) = -2*l**2. Suppose 0 = -4*i + 80 + 20. Let a(m) = -i*m**2 + 1 - 4 + 12*m**2. Determine a(w(u)). -52*u**4 - 3 Let v(i) = -27*i**2 - 6*i. Let o(t) = 418*t**2 + 93*t. Let a(s) = 2*o(s) + 31*v(s). Let b(h) = -148*h - 9. Determine a(b(j)). -21904*j**2 - 2664*j - 81 Let y(j) = 11*j + 10 - 10510*j**2 + 10533*j**2 - 18*j. Let s(b) = -2*b**2. Calculate y(s(d)). 92*d**4 + 14*d**2 + 10 Let p(i) = -i. Let y(w) be the third derivative of -2899*w**4/24 + 78*w**2 - 17. Determine y(p(q)). 2899*q Let p(h) = -3*h**2 - 2. Let z(x) = -2*x**2 + 4*x - 2898. What is z(p(s))? -18*s**4 - 36*s**2 - 2914 Let j(o) = 192*o + 5. Let g(t) = 71*t + 2. Let n(f) = 8*g(f) - 3*j(f). Let w(d) = d + 1. Calculate w(n(x)). -8*x + 2 Let x(b) = -14*b**2. Let l(w) = 105870*w. Calculate x(l(p)). -156918396600*p**2 Let r(v) be the third derivative of v**4/12 + 30*v**2 + 29*v + 3. Let t(d) = 10650*d. What is t(r(u))? 21300*u Let t = 39 - 37. Let y(j) = 500 - 500 - 2*j**t. Let w(o) = -o - 1. Let d(x) = -41*x - 2. Let z(q) = d(q) - 2*w(q). Calculate z(y(v)). 78*v**2 Let b(u) = 4*u. Suppose -31*f - 8 = -27*f. Let w(j) = 3*j - 1. Let n(x) = 64*x - 24. Let v(d) = f*n(d) + 48*w(d). Determine b(v(s)). 64*s Let j(z) = 11*z**2 - 6*z. Let s(h) = -382611*h. What is s(j(b))? -4208721*b**2 + 2295666*b Let f(i) = -i**2 + 2. Let n(x) = 63*x**2 - 2*x + 25. Let l(t) = 8*f(t) - n(t). Let c(u) = -2*u**2. Calculate l(c(a)). -284*a**4 - 4*a**2 - 9 Let y(l) = -207*l**2 - 2*l - 421. Let g(n) = n + 389. What is g(y(a))? -207*a**2 - 2*a - 32 Let u(c) = -22513*c**2. Let p(o) = 169*o**2 - o. What is p(u(f))? 85655143561*f**4 + 22513*f**2 Let j(k) = -14*k**2 - 257*k - 40. Let b(u) = 9*u**2 + 171*u + 25. Let n(d) = -8*b(d) - 5*j(d). Let x(g) = 9*g. Determine n(x(r)). -162*r**2 - 747*r Let h(p) = 386*p**2 + 7. Let v(r) = -770*r**2 - 16. Let z(y) = 9*h(y) + 4*v(y). Let t(x) = x**2. Determine t(z(i)). 155236*i**4 - 788*i**2 + 1 Let a(x) = 752*x. Let m(y) = 2*y**2 - 3. Let n(f) = -2*f**2 + 4. Let o(g) = -4*m(g) - 3*n(g). Calculate o(a(h)). -1131008*h**2 Let t(n) = 6*n. Let u(l)
{ "pile_set_name": "DM Mathematics" }
- 2 + 2)). -22*m**2 Expand (5 - a - 5)*(24 + 0 - 4). -20*a Expand (0*b + 5*b - 3*b)*(-71 + 12*b + 71)*(1 + 1 + 1). 72*b**2 Expand -g**4 + 8*g**4 + 3*g**4 + (4*g**3 - 3*g**3 - 3*g**3)*(3*g - 3*g + g). 8*g**4 Expand (0*z - 4*z + 3*z)*(4*z - 5*z + 0*z) - 65 + 65 - 26*z**2. -25*z**2 Expand (w + 4 - 4)*(-w**3 + 0*w**3 - w**3)*(-4 + 4 + 2) + 0 + w**4 + 0. -3*w**4 Expand (3 + 3 + 2)*(-3 + 9*u - 8*u + 0*u). 8*u - 24 Expand (0*t - 3*t + 7*t)*(t - t + t) - 3*t + 3*t + 2*t**2 - 3*t. 6*t**2 - 3*t Expand v**5 + 25*v**5 + 2*v**5 + (1 - 1 - v**4)*(-2*v - 2*v + 2*v). 30*v**5 Expand (-4*n**2 - n**2 + 3*n**2)*(5 + 4 - 7*n - 7). 14*n**3 - 4*n**2 Expand -2*c**3 + c**3 - c**3 + (0 + 5*c + 0)*(4 + 3*c**2 - 4). 13*c**3 Expand (9*i**3 + 3*i**3 - 3*i**3)*(3 - 1 - 1) - i**3 + 2*i - 2*i. 8*i**3 Expand (-u**2 - 2 + 2)*(-29 + 4 - 1). 26*u**2 Expand -4*o**3 - 3*o**3 + 6*o**3 + (o**2 + 0*o**2 + o**2)*(0 + 0 - o) + 3*o**3 + 0*o**3 - o**3. -o**3 Expand (-y**2 + y**2 - 5*y**3)*(3 + 3 - 4) + 3*y**2 + y**2 - y**2 + y**3. -9*y**3 + 3*y**2 Expand (4*b - 3*b + 2*b)*(-b**2 + 4*b**2 + 3*b - 2*b**2). 3*b**3 + 9*b**2 Expand -4*l**2 + 2*l**2 - 7*l**2 - l**2 - 2 + 2 + l**2 + l**2 - l**2 + (4*l - 4*l - 2*l)*(0 - l + 0) + (1 - 1 - 1)*(-2*l**2 + 0 + 0). -5*l**2 Expand (-3*g**2 + g**4 + 3*g**2)*(-15 - g + 15) + g**5 + g**5 + g**5. 2*g**5 Expand (4*l + l - 4*l)*(-4*l + 3*l + 3*l) + (2*l + 0*l + l)*(-4*l + 3*l - 4*l) - l + l + l**2. -12*l**2 Expand (17*v - 70 + 70)*(-v + 4 - 4). -17*v**2 Expand (-8 + 8 + 8*t)*(-1 + 0 - 2)*(3*t**2 - t**2 - 3*t**2). 24*t**3 Expand (2*t + 2*t - t)*(-2*t - 3*t + 4*t) + 3 - 3 + 2*t**2 + (-t + 1 - 1)*(-2*t + 2 - 2) - 3*t + 3*t + 2*t**2 - t**2 - 3*t**2 + 2*t**2. t**2 Expand f**5 + 3*f**5 - 5*f**5 + (-3*f + 2*f + 3*f)*(f**4 - 3*f**4 + 0*f**4). -5*f**5 Expand (3 + 3 - 7)*(3 - 1 - 1)*(-11 + 11 + 7*f**4). -7*f**4 Expand 6*f**2 + 4*f**2 - 5*f**2 + (2 + f - 2)*(-f + 0*f - f) - 5*f**2 + 5*f**2 - f**2. 2*f**2 Expand 4*o - o - 2*o + 14*o - 6*o - 39*o + (2*o - o - 2*o)*(2 + 1 - 1). -32*o Expand (4*m - 1 + 3 + 0)*(-m + 0*m - 2*m)*(3*m - 3 + 3). -36*m**3 - 18*m**2 Expand 4*d**2 - 4*d**2 + 2*d**2 + (2*d**2 - d + d)*(0 - 2 + 0). -2*d**2 Expand 0*y + 0*y - 2*y**5 + (2*y**4 - y**2 + y**2)*(y + 3*y + y). 8*y**5 Expand (0 + 0 + 2)*(5*q + 5*q - 26*q)*(0 - 3 + 1)*(q**2 - 3*q**2 + 0*q**2). -128*q**3 Expand (0*f - 3*f + f)*(2*f**2 - 3*f**2 - 3*f**2) + (3*f**2 + f**2 - f**2)*(-3 - f + 3). 5*f**3 Expand (-4 + 2 + 14)*(3*k**2 - 2 + 2)*(k**3 - 2 + 2). 36*k**5 Expand (-182*l - 6 + 184*l - 3)*(0 + 2*l + 0). 4*l**2 - 18*l Expand (4*f - 12*f - f)*(-2 + 0 + 4). -18*f Expand 103*r**4 - 103*r**4 - 32*r**5 + (r**5 - r**2 + r**2)*(1 + 1 - 1). -31*r**5 Expand (h + 0*h + h)*(0*h - h + 0*h - 2*h - h + h + (-3 - 3 + 5)*(-4*h + 4*h + 2*h) - 2*h - 3*h + 3*h - 2*h - 41 + 41). -18*h**2 Expand (t - 4*t + 13*t)*(7*t + 3 - 3). 70*t**2 Expand (-4 + 0 + 5 + 2 + 0 - 1 + (-2 + 4 + 0)*(1 - 5 + 3) - 1 + 1 - 2 - 2 + 3 - 3)*(4*f - 4*f + 4*f). -16*f Expand (-5 + 2 + 2)*(5*n + 0*n - 3*n) - 2*n - 2*n + 2*n - 4 + 4 + n + 0*n - 4*n + 2*n + (3 - 6 + 1)*(2*n - 1 + 1) - 3*n - n + 5*n - 4*n + n + n. -10*n Expand (-4*o**3 + 4*o**3 - 2*o**3 + (5 + o**3 - 5)*(4 - 4 - 1))*(-4 + 3 - 1)*(13*o + 10 - 10). 78*o**4 Expand ((-3 + 4 + 3)*(l + 4*l - 2*l) - 3*l + 5*l - l + (0 + 6 - 3)*(0 + 0 - l))*(3*l + l**2 - 3*l). 10*l**3 Expand (d**5 - d**5 - d**5)*(-3 + 5 - 3) + 27*d**5 - 9*d**5 + 9*d - 15*d**5. 4*d**5 + 9*d Expand -5*r**4 + 4*r**4 - 3*r**4 + (2*r**3 + 2*r**3 - 3*r**3)*(-4*r + 4*r + 2*r) + 7*r**4 - 3*r**4 + 5*r**4. 7*r**4 Expand (322 - 21*y**4 - 322)*(6*y - y - 2*y). -63*y**5 Expand (-27*n - 19*n - 11*n)*(-2*n**4 + n - n). 114*n**5 Expand (5 + 2*h - 5 + (-2*h + 0*h + h)*(0 + 0 - 1) + 7*h + 2*h - 2*h)*(2 - 3 + 2). 10*h Expand (3 - 3 - 35*a)*(1 + a**3 - 1). -35*a**4 Expand (f + 276*f**2 + f - 304*f**2)*(2*f + 2*f - 5*f) + f**3 + f**3 - 3*f**3. 27*f**3 - 2*f**2 Expand (-1 + 1 + 2)*((5 - 5 + 2)*(-2 - 4 + 4) - 3 + 2 - 1)*(-4*b + 3*b + 9*b). -96*b Expand (2*a + a**4 + 5*a - 3*a)*(-1 + 2 + 0). a**4 + 4*a Expand 2*v - v + 2*v + (-2 + 0 + 4)*(2*v + 0*v - v) + 3*v + 2*v - 3*v. 7*v Expand (-2*g + 3*g - 3*g)*(-1 + 2 - 2) + 3 - 3 + g - 11 - g + 5*g + 14. 7*g + 3 Expand (0 + 2 + 0)*(-5*y**2 + 2*y**2 + 4*y**2 + (y - 7*y + 3*y)*(1 + 2*y - 1)). -10*y**2 Expand (-5*y**4 + 2*y**5 + 5*y**4)*(-1 + 1 + 1) - 29*y**5 + 23*y**5 + 44*y**5. 40*y**5 Expand (2*w + 2*w - 2*w)*(4 + 4 - 18). -20*w Expand (-5 + 0 - 5)*(2*b - 2*b - b). 10*b Expand (3*b + 17*b - 6*b)*(-b**2 + b**2 + 2*b**2). 28*b**3 Expand (2*q + 2*q - 6*q)*(7 + 6 + 1). -28*q Expand (4*p**4 - 3*p**4 - 2*p**4)*(-5 + p + 6 + 0*p). -p**5 - p**4 Expand -2*s**2 + 2*s**2 - 2*s**4 + ((-2*s**2 + 0*s**2 + 4*s**2)*(-3*s - 2*s + 3*s) + 224*s**2 - 224*s**2 - 8*s**3)*(-s + 0 + 0). 10*s**4 Expand (2 - 1 + 1)*(5*w**2 - 4*w**2 + 3*w**2)*(0 + 0 - 1)*(-1 - 2 + 1). 16*w**2 Expand (4*g**2 - 2*g**2 + 0*g**2)*(0 + 3 - 1)*(-4*g + 4*g - 4*g) + 0*g**3 + 0*g**3 + g**3. -15*g**3 Expand (o + 0*o - 3*o)*(-5*o - 2*o - 3*o + (-2 - 1 + 4)*(-o + o - o)). 22*o**2 Expand (5 - 3 - 1)*(0 + 3 - 5)*(-6*g + 6*g - 3 - g). 2*g + 6 Expand (-4 + 4 - 1)*(-108*p - 160*p + 47176 - 47176). 268*p Expand (2 - 1 + 1)*(3*z**2 + 0*z**2 - 2*z**2) - 4*z**2 + z**2 + 5*z**2 - 3*z**2 - 2*z**2 + 3*z**2 + 48*z**2 - 46*z**2 + 61*z**2. 65*z**2 Expand 20*o**5 - 35*o**3 + 35*o**3 + (-1 - 1 + 4)*(-5*o**5 + 3*o**5 + 0*o**5). 16*o**5 Expand -403*b**2 - 28*b**5 + 403*b**2 + (b**3 - 1 + 1)*(b**2 + 2 - 2). -27*b**5 Expand (2 - 2 + 1)*(4*k**3 + 0*k**3 + 0*k**3). 4*k**3 Expand (4*b + 3 - 3 - 2)*(-4*b - 3*b + 5*b). -8*b**2 + 4*b Expand 2*k**3 + 0*k**3 + 0*k**3 + (-3*k**2 + 0 + 0)*(-k - k - 2*k). 14*k**3 Expand (-1 + i + 1)*(5*i - 2*i**4 - 5*i) + (4*i**3 + i**4 - 4*i**3)*(3 - 3 - 2*i) + 9*i**5 - 6*i**5 + 3*i**5. 2*i**5 Expand 0*y**3 + y**3 - 2*y**3 + (-2*y + 3*y + y)*(-y**2 - 3*y**2 + 0*y**2). -9*y**3 Expand (-1 + 1 + 3)*(q**5 + 0*q**5 + q**5) - 2*q**5 + 5*q**5 + 5*q**5. 14*q**5 Expand (3*z - 2*z**2 - 3*z)*(1 - 1 - z) + (10*z**2 + 8*z**2 - 7*z**2)*(2 + 2*z - 2). 24*z**3 Expand 29*z**5 - 83*z**5 - 64*z**5 + (-1 + 1 - z**2)*(3*z**2 - 3*z**2 - z**3). -117*z**5 Expand (-d - 2*d + d)*(0*d + 2*d - 4*d) + 28*d + 10*d**2 - 5*d**2 - 6*d**2. 3*d**2 + 28*d Expand (-3 - 1 + 1)*(-10*t**4 - t**5 - 5*t**5 + 7*t**5). -3*t**5 + 30*t**4 Expand 0*k - k + 3*k + 4*k + 0*k - 3*k + (-2 - 2 + 6)*(-5*k + 4*k + 2*k) + 3 - 3 - k - k + 6*k - 4*k. 5*k Expand (y**4 + 2*y - 2*y)*(4 + 0 - 2)*(5*y - 2*y + 5*y)*(-3 + 2 + 2). 16*y**5 Expand (-2*t**2 + t - t)*(2 - 2 - 2*t)*(3 - 3 + 2*t). 8*t**4 Expand (-7 + 7 + 2*f**2 - 3*f)*(-f**2 + 2*f**2 - 2*f**2). -2*f**4 + 3*f**3 Expand -30*r - 44*r + 37*r + (r + 0*r - 2*r)*(2 - 4 + 3) - 2*r + 2*r + 2*r. -36*r Expand (0 - 5 - 3)*(0*k**4 + 2*k**4 - k**4). -8*k**4 Expand (-4*l**2 + 4*l**2 + 2*l**4)*(-l + 3 - 3) - l**5 - l**5 + 0*l**5 + (0*l**2 + 2*l**2 + 0*l**2)*(-2*l - 2*l**3 + 2*l) - l**5 - 2 + 2 + l**5 - l**5 + l**5. -8*l**5 Expand (2*l + l + 0*l)*(-l**4 - 2*l**4 + 5*l**4) + l**5 - l**5 + 2*l**5. 8*l**5 Expand (-2*w**2 - w**3 + 2*w**2)*(-w - w + w) - w**4 + 3*w**4 - 3*w**4 + (-1 + 3 - 3)*(-3*w**4 + 5*w**4 - 4*w**4). 2*w**4 Expand (-3*g + 1 - g + 2*g)*(0 + 2 - 3). 2*g - 1 Expand -2 + 2 - 2*q - 2*q + 5*q - q + (-4*q + 3*q + 3*q)*(-2 + 0 + 0). -4*q Expand (3*x**3 - x**3 - 3*x**3)*(-57 + 57 - 7*x). 7*x**4 Expand (k**2 + 0*k**2 + 0*k**2)*(2 + 1 + 0)*(2*k - k - 3*k). -6*k**3 Expand (8*s + 22*s + 0*s)*(4*s**4 - 5*s**4 + 0*s**4 + (-4*s**2 + 3*s**2 + 0*s**2)*(2*s**2 + 1 - 1)). -90*s**5 Expand (-1 - 2*u + 1)*(-1 + 1 - 1) + 0 + 0 + 3*u - 2*u - 2*u + 6*u - 4 - 1 + 2*u + 0. 9*u - 5 Expand (0 - 2*u**2 + 0)*(2 + 1 + 2)*(0 - 1 + 3). -20*u**2 Expand (k**2 - 3*k**2 + 0*k**2)*(k**3 - k**2 + k**2) - 3*k + k**5 + 3*k + (-3*k**2 + 6*k**2 - 4*k**2)*(2*k**3 + 0 + 0). -3*k**5 Expand (0 + l + 0)*(44 - 30 - 27). -13*l Expand (1 - 10 + 5)*((2*o - 3*o - o)*(2 - 2 + o**3) + o**4 - 2*o**3 + 2*o**3). 4*o**4 Expand (5*x + 2*x - 40*x)*(-2*x**2 + 2*x**2 + 2 + 2*x**2). -66*x**3 - 66*x Expand (4*d**5 + 0 + 0)*(-3 + 2 + 5). 16*d**5 Expand (-z**2 + z**2 - z**2)*(2*z - 2*z - 2*z**2) + 10*z**4 + 5*z**4 - 39*z**4. -22*z**4 Expand 3*w**5 + 0*w**5 - 5*w**5 + (-w**3 + 4*w**3 - 2*w**3)*(3*w**2 - 2*w**2 - 3*w**2) + 0*w**5 - 2*w**5 + 0*w**5 + 25*w**5 + 176 - 176. 19*w**5 Expand (0 + 2 - 1)*(-1 - 2*r + 1) - 2*r - r
{ "pile_set_name": "DM Mathematics" }
n 3, -0.2, b? -0.2 Let y be ((5 + 39/(-9))*-6)/2. Which is the nearest to 2? (a) -1/3 (b) 5 (c) y a Let x = 121/1344 + 1/192. What is the closest to x in -1, -0.1, 4? -0.1 Let p = 147 - 373. Let b be p/46 + 15/3. What is the nearest to -1 in 4, b, 2? b Let u = 47 + -13.7. Let j = u - 31. Let k = 1.9 - j. What is the closest to 0.1 in 2, 1/3, k? 1/3 Let v = -0.021 - 0.539. Let h = v - -0.46. What is the closest to h in 0.2, -2, 0.3? 0.2 Let d = 113 + -112. Let y = -0.7 + 0.92. What is the nearest to -1 in d, -0.3, y? -0.3 Let r = 28 + -31. Let z be r/15 + (-8)/(-8). What is the closest to 1 in z, 1/4, 5? z Let w = 3.045 - 0.045. Which is the nearest to w? (a) -3 (b) -3/5 (c) 1/4 c Let i = -1.1 + 1. Let m = -0.22 - i. Let f = m + 0.32. Which is the closest to 0? (a) 4 (b) f (c) 2/7 b Let x = 951.9 - 1037. Let o = x + 85. What is the nearest to -1/7 in o, 1, 0? o Let k = -5.5 + 6. Let q = 2.6 - 2.61. Which is the nearest to q? (a) k (b) -0.3 (c) -2/9 c Let m = 0.066 - -39.934. Which is the closest to -1? (a) 4 (b) 5 (c) m a Let p be (-2)/(-6)*882/4. Let q = 73 - p. Which is the nearest to q? (a) 1/8 (b) 0.6 (c) -3 a Let o = 0 + 0.2. Let d be (6/700*25)/(1/14). Which is the closest to d? (a) 2 (b) 5/6 (c) o a Let s = -9195 - -9196. Let z = -1.7 - -2. Let f = z + 0.2. Which is the nearest to s? (a) 3 (b) f (c) -8 b Let y = -4 + 1. Let n(h) = -2*h - 8. Let d be n(-7). Let s = 8 - d. What is the nearest to s in -0.4, 4, y? 4 Let n = 436 + -438. Which is the nearest to 2/9? (a) -3/2 (b) -0.1 (c) -0.024 (d) n c Let m be (-1)/6 + 377/(-78). What is the closest to 1/2 in -0.4, m, 0.4? 0.4 Let d be ((-6)/(-10) + 120/(-75))/13. What is the closest to d in -0.5, 4, 3? -0.5 Let u = 0.5 + 0. Let k = 0.4 - u. Let z = k - -0.3. Which is the closest to 0.3? (a) 2/11 (b) z (c) 4 b Let o = -0.131 - -68.131. Let y = 68.3 - o. What is the nearest to -0.2 in -5, y, -0.3? -0.3 Let y = 0.05 + 0.13. Let d = -0.02 - y. Let i = d + 0.1. Which is the closest to -0.1? (a) 1/3 (b) 1 (c) i c Let i = -968 + 967.88. What is the closest to -1 in 4, i, 0.1, 5? i Let o = 249 + -251. Let y = -0.3 + 0.34. Which is the nearest to o? (a) 4/9 (b) 0.2 (c) y c Let p = 7.4 - 7. Suppose 4*k - 16 = 2*r + 4, -2*r = 0. Which is the nearest to -1? (a) p (b) -5 (c) k a Let g = 74 - 73. Which is the closest to -2/3? (a) -3 (b) g (c) 0.5 (d) -2 c Let j = -118.2 + 119. What is the nearest to 2/3 in 1/4, -1/3, j? j Let w = 75.3 + -74.9. What is the nearest to -10 in -0.1, -0.4, -0.5, w? -0.5 Suppose -10 = -3*h - 2*m, -h + 2*m + 11 + 3 = 0. Let u(d) = -10*d + 57. Let x be u(h). Which is the nearest to 0? (a) -1 (b) x (c) 0.1 c Let g = 5/48 + -7/272. Let r = g + -7/17. Which is the closest to r? (a) -6 (b) 1/2 (c) 1/7 c Let k(d) = -d**2 + 2*d + 2. Let r be k(0). Let o be 225/(-60) + 1 + r. Which is the closest to 0.3? (a) 3 (b) o (c) -0.2 c Let x = -54.055 + 0.055. Let p = x - -52. What is the closest to 3 in 0.2, -0.3, p? 0.2 Let z = 1 - 0.9. Let c = 282 - 164. Let u = -117.9 + c. What is the closest to z in u, 3, -1? u Let y = -117 + 119. Which is the closest to -2.8? (a) y (b) 0.5 (c) -0.1 c Suppose 3*o - 5*o + 6 = 0. Let p be o + 2*-1 - (-44)/(-36). Let g = -3 + 3.2. Which is the nearest to p? (a) g (b) 0 (c) -3 b Let t = -3.995 + 4.395. Let r = 4 - 8. Which is the nearest to r? (a) -0.1 (b) t (c) -1/9 c Let i = -336 + 337. What is the closest to -3/4 in -1, i, -2/7? -1 Let y = -213 + 212. Which is the nearest to 3? (a) -5 (b) y (c) 2/5 c Let s = -0.312 - -0.312. Let v = 21.1 + -21. Which is the closest to s? (a) 4 (b) 2 (c) v c Let a = -3992.3 - -3992. Let y = -233/4 - -58. Let o = -2.02 - -0.02. What is the closest to -0.1 in y, o, a? y Let d = -3279 - 1381. Let z = 23449/5 + d. Let b = z + -30. What is the nearest to -0.1 in b, 0.5, 0.1? b Let v = -1445/7 + 206. Which is the nearest to 1? (a) -0.4 (b) v (c) 1 c Let a = 11.255 + -0.155. Let p = a - 11. What is the nearest to p in 0, -5, 1? 0 Let n = 1/405 + -91/405. Which is the closest to 0? (a) -0.4 (b) -1.2 (c) n c Let q(l) = -l**2 + 14*l - 8. Let a be q(14). Let x be (-3)/((-4)/a + 1). Let d be (5/(-30))/(x/4). What is the nearest to 3 in -3/4, 1, d? 1 Let b = -40 - -121. Let y = b + -84. What is the nearest to 0.1 in y, -0.03, -1/2? -0.03 Let s(x) = x + 30. Let j be s(-21). Suppose w = j*w. What is the closest to w in 4, -0.5, -2/11? -2/11 Let u = 56 - 48. Let p be 62/24 + u/(-32) - 3. Which is the closest to 0.1? (a) p (b) -1 (c) 1/4 c Let q = 398/15 + -80/3. What is the closest to 0.2 in 25, -4, q? q Let u = -7/2 + 15/4. Let c = -0.029 + -22.971. Let m = 25 + c. What is the nearest to 3 in u, -5/3, m? m Let q = 5.5 + -74.5. Let x = -69.9 - q. Which is the closest to -0.2? (a) 0.2 (b) x (c) 0.4 a Let l = 633/4 + -7019/44. Let o = l - -65/77. Which is the closest to 1? (a) 0.2 (b) o (c) -0.4 a Let h = -1.047 + 0.047. What is the closest to h in 0.1, 4.8, -2, 1/5? -2 Let l = -0.08 - 0.92. Let q = -263/726 - -7/242. Which is the closest to l? (a) q (b) 1/6 (c) 5 a Let l = 0.2 - -0.3. Let h = -740/9 + 5929/72. What is the closest to -0.1 in l, h, 9? h Let y = -0.4 + 4.4. Let v(u) = u**3 + 22*u**2 + 42*u + 31. Let d be v(-20). Which is the nearest to d? (a) y (b) -5 (c) -1/3 b Let w = -5.1404 + 0.1404. Which is the closest to 1? (a) -59 (b) w (c) 4 c Let z be (5/4)/(1/(-4)). Let i(v) = 54*v - 2. Let h be i(0). Which is the nearest to h? (a) 5 (b) 0.3 (c) z b Let d = -0.4 + -5. Let q = -6.4 - d. Which is the nearest to q? (a) -2 (b) -2/9 (c) 5 b Let j = -3.5 - -3. Let l = -1/422 - 417/2110. Which is the nearest to l? (a) 0.3 (b) -5 (c) j c Let s = -83.1 - -83. Which is the nearest to 0? (a) -7 (b) s (c) 1/3 b Let h = 133.2 - 133. Which is the nearest to 5? (a) -1 (b) 0.1 (c) h c Let k = -1816.3 + 1816. Which is the closest to -12? (a) 1/8 (b) k (c) 4 (d) -3 d Let n = 0.071 - 0.171. Let r = -1.4 - -1. Let g = 0.7 + r. What is the nearest to n in -0.1, -2, g? -0.1 Let t = -22 - -22.13. Let g = t + -0.43. Let x = 625/7 - 89. Which is the nearest to 1/3? (a) x (b) g (c) 3 a Let w = 23 - 23.5. What is the closest to -1 in w, 0, 0.3? w Let s = 2677/7 + -380. Which is the nearest to 2? (a) 1 (b) 0.2 (c) s c Let n = 8 - 12. Let t = -8692.9 + 8693. Let h = 0 + 0.05. Which is the nearest to h? (a) n (b) t (c) 3/2 b Let j(y) = 10*y + 3. Let u be j(9). Suppose -4*h + 17 - 1 = 0, -5*k - 2*h + u = 0. Let t = 18 - k. What is the closest to -1 in -1/7, t, 3/2? -1/7 Let b = 9 - 5. Let k be ((-232)/40 - -5) + 26/70. What is the nearest to 0.3 in k, 2/13, b? 2/13 Let j = -59 + 48. Let t = -16 - j. Which is the nearest to 2? (a) 3/8 (b) 2 (c) t b Let o = -0.2 - 2.8. Let v = -1/171564 + -27621569/40317540. Let s = -4/47 - v. Which is the closest to 1/4? (a) -1 (b) o (c) s c Let h = -10 - -6.2. Let b = 4 + h. Let v = -22.2 + 21.2. What is the closest to b in -3, 1/5, v? 1/5 Let l = 9646 + -9645.6. Let q = -0.2 - -0.3. Which is the closest to q? (a) 0.7 (b) l (c) -4 b Let d = -1625.04 + 1664. Let c = d + -39. What is the nearest to c in 2/9, 3/4, -0.4? 2/9 Let g = -0.19 + 0.39. Let d be -2*((-20)/16)/(-5). Which is the nearest to g? (a) d (b) -0.1 (c) 3/2 b Let g = -8.8 + 10. Let c = 0.8 + g. Let h = 8 - 3. What is the nearest to 0.2 in 0, h, c? 0 Let u = -145/66 + 26/11. Let n = -42 + 70. Let i = -29 + n. Which is the closest to i? (a) -0.06 (b) u (c) 2 a Let x = -4/7 + 6/7. Let g = 1417/2 - 708. Which is the nearest to -0.3? (a) 1 (b) g (c) x c Let m be (-455)/(-70)*2/26. Which is the nearest to 13? (a) -1 (b) m (c) -5 b Suppose -6*i = -10*i + 4. Which is the nearest to -3? (a) -5 (b) -0.4 (c) i a Let k = -17 - -12. Let m = 724.6 - 725. Which is the closest to m? (a) k (b) -4 (c) 4 b Let t = 35 - 11. Let q = t - 70/3. Let l = -23 - -27. What is the closest to q in -0.1, 0.4, l? 0.4 Let d = -36.3 + 38. Let h = -2.63 + 0.83. Let y = d + h. Which is the nearest to 1/4? (a) y (b) -1/3 (c) -6 a Let c = -52.02 - 1.98. What is the nearest to -1/3 in c, 0.2, 1? 0.2 Let k = 391 - 386. What is the closest to 1 in 2, k, 3, -10? 2 Let v = 2.2 - 2. Let b = 22.647 + -0.247. Let u = 22 - b. What is the nearest to 1/3 in v, 2/5,
{ "pile_set_name": "DM Mathematics" }
ch is bigger: j or -207/19? -207/19 Suppose 4*i = 3*p - 659, i + 390 = 2*p - 41. Is p at least as big as 212? True Let d be (-21)/1*(-55)/33. Let w = d + -44. Which is smaller: w or -10? -10 Let g = 19122861/2968550 - 32/114175. Let t = 155/26 - g. Which is smaller: 1 or t? t Suppose -3*k = -5*m + 47, 4*k + 4*m - 9*m = -56. Which is greater: k or -10? k Suppose 0 = -2*h + 2*x + 44, -h = 2*h - 2*x - 63. Suppose 3*y + 5*f = h, -4*f + 28 = 2*y - 6*y. Let w be -3 + ((-27)/(-15) - y). Which is greater: w or 1? 1 Let n = -0.1 + 2.1. Suppose 2*a = -5*l - 35, -l - 11 = 4*a - 4. Which is bigger: n or l? n Suppose -5*r + 150 = -i, r = 25*i - 22*i + 30. Which is bigger: r or 20? r Let r be (-1)/(-2)*(-2)/(-26)*74. Which is greater: 4 or r? 4 Let o be 6/(-10) + -1 + (-482)/(-300). Let j = -17/1950 - o. Which is smaller: -1 or j? -1 Let s(u) = -u + 5. Let v be s(-4). Suppose 4*x + 3 = -5. Let k(p) = 2*p**2 - 2*p - 3. Let l be k(x). Is l less than or equal to v? True Let c = -401 - -400.9. Which is smaller: 4 or c? c Suppose 4*h = 2*o + 22 - 8, -3*h + 38 = 4*o. Suppose -f - h = 6. Is f greater than or equal to -11? False Suppose -114 = -3*l - 0*l. Suppose 0 = -2*g - 0*g - l. Let f = g - -12. Are f and -9 unequal? True Let d be ((-6)/(-4))/(7/(-28)). Let r be 13*-1 + d/3. Let h be (15/20)/(r/8). Which is smaller: h or 1/4? h Suppose 390*i = 385*i + 735. Let m = -148 + i. Is -10/31 < m? False Suppose 0 = -f + 3 + 2. Suppose f*z - 5*p = 90, -4*z = -p + 2*p - 72. Is z < 18? False Let o(d) = d + 1. Let z be o(2). Suppose 24 = -0*g + z*g - 3*i, 3*i + 30 = 5*g. Let b be 0*(21/(-6) + g). Which is smaller: 10 or b? b Let i(u) = u**2 - 8*u + 4. Let s be i(10). Suppose 4*v - 92 = -s. Which is smaller: v or 14? 14 Let i = -7 + 10. Let j(t) = -6*t. Let x be j(i). Let y be 2/x*12/10. Is y bigger than 0? False Let f = 17 + -4. Suppose 61*h + 48 = 65*h. Which is smaller: h or f? h Suppose -12 = -3*u + 3. Suppose b - u = 6*b. Let t be 1 + b + (-1 - -2). Is 0 greater than or equal to t? False Suppose -2*y - 2*y = -3*r, 5*y = -15. Suppose -121 = -2*f + 7*f - 3*m, f + 2*m + 32 = 0. Let p = f - -23. Is r > p? False Let v = -2338 + 151966/65. Which is bigger: 1 or v? 1 Let x be 3/(-2) - 114/(-60). Suppose 4*t = 7 + 69. Which is bigger: t or x? t Let t be 1/((-1)/(-2)) - 138. Let g be t/(-70) - (-4)/20. Is g smaller than 2? False Suppose 9*w = 7*w + 8. Let k = 4 - w. Is -2/135 at least k? False Let j = 0.38 + -0.08. Suppose -z + 2 = -u + 2*u, 4*z - 18 = u. Is u less than or equal to j? True Let c = 19.6479 - 0.4379. Let i = c - 0.21. Which is greater: -1 or i? i Let s be (-5)/(-70) - (-614746)/308. Is s equal to 1995? False Let g be (-9)/15*(-120)/72. Which is smaller: -1/693 or g? -1/693 Let g = 34 + -36. Suppose h - 22 = -5*k, -h - 3*k = k - 17. Let w be (1*1*h)/(-1). Which is greater: g or w? w Let d(v) = -11*v**2 + 6*v - 1. Let m be d(1). Which is smaller: -36/5 or m? -36/5 Let k = -332.2 + 332. Is 85 smaller than k? False Suppose 0 = -2*h - 4*h - 6. Let n(l) = l + 6. Let c be (-1*14)/(0 - -2). Let z be n(c). Is z less than h? False Let j be 1/6 + (-242)/12. Let q be (-22)/j + 13/(-26). Is 1 less than q? False Suppose -4*a + a + 12 = v, 0 = -v - 5*a + 20. Let y = 4 - v. Let n be -2*1/y*0. Which is bigger: -1/3 or n? n Let i = -1176686/657 + 1791. Which is greater: -1 or i? i Let u = 17 + -6. Let v = -19 + u. Let h = -9 - v. Is -3 equal to h? False Let v = -3896 - -3896.01. Let n = -3 - -7. Do n and v have different values? True Let g = 29.35 - 0.35. Which is smaller: g or 0.9? 0.9 Let r = -2/37 - -43/111. Let v be 0/(-3 - (-2 - -2 - 2)). Suppose v*h = -4*h + 4. Are h and r non-equal? True Suppose -62*n + 57*n = -115. Is n > 6? True Let j = -9 - -12. Suppose r - j = 1. Suppose 0 = -5*m + r*p + 37, 0 = p + 7 - 4. Which is bigger: 6 or m? 6 Suppose -s = -3*g + 11, 4*s - s = 5*g - 45. Let k = 21 + s. Which is greater: 1/3 or k? k Let b = 95.3 + -96. Which is smaller: -4/9 or b? b Suppose 9 - 4 = v. Suppose -q + 4 = -v*q. Let t = 33/25 - 1997/1475. Are q and t non-equal? True Let w be 25496/57 - (-22)/33. Let h = w + -448. Is h at least -1? True Let o = 115 - 114.8. Is o at least -0.013? True Let g(h) = 3*h + 1. Let l be g(1). Let v = 63 - 60. Suppose 0 = 4*c - r + 4, -v*c = -0*r - l*r + 16. Which is smaller: c or -1? -1 Suppose 0 = -3*c + 6, -4*i - 3*c = -21 + 7. Let f(m) = m**3 + 4*m**2 - 7*m - 5. Let j be f(-5). Let t = i - j. Is t greater than -4? True Let r = 27 - 56. Let n = 14 + r. Let z = 17 + n. Which is bigger: z or -2/13? z Suppose -5*l = -7*l - 10. Let z = -20/3 - l. Is -3 at most as big as z? True Let s be (6/(-4))/(1/(40/15)). Let z be (-26)/6 + 2/6. Let c = s + z. Is c at least -6? False Let h(q) = -17*q**3 + 3*q**2 - 15*q + 3. Let p be h(2). Is p at most as big as -150? True Let v(z) = -1 + 7*z - 2 + 1. Let g be v(-9). Let d be -1*2 - 145/g. Which is greater: d or 0? d Suppose 5*f + 16 = 3*p, 4*f = -9 + 1. Which is smaller: -8 or p? -8 Suppose -x + 4 = 2*r, x - 3*r = -25 + 9. Is 75 >= x? True Let i(c) = c + 1. Let m be i(-1). Suppose -3*b + 4 + 8 = m. Suppose b*n + 19 = 35. Which is smaller: n or 1? 1 Let a be (-12)/(-42) - (-37)/(-7). Let c be a/(15/18) - 4. Suppose -4*t - 26 - 18 = 0. Which is smaller: t or c? t Suppose 3*l = -2 + 11. Suppose 0 = -a + l - 5. Are -2 and a unequal? False Let r be (-6)/15 + (-28)/(-70). Suppose r = 3*f - 3*p + 6, -5*f - 10*p + 6*p - 37 = 0. Do f and -9/2 have different values? True Suppose 0 = 163*i - 153*i. Let t = 692 + -12451/18. Is t greater than i? True Let l be 2 + 8*2/4. Suppose 0 = q - 3*c - 19, -l*q + 5*q - 3*c + 19 = 0. Is q <= 19? True Suppose -36186 = 5*h - 2*f - 176874, 0 = h - 3*f - 28135. Let z = -141247/5 + h. Let a = 111 + z. Which is smaller: 2/7 or a? a Let h(t) = t - 3. Let o be h(4). Is o > 2/157? True Let r = -70 + 131. Are r and 61 non-equal? False Suppose 27 = 4*d - 8*d - 3*p, -9*d - 4*p - 47 = 0. Let y be (-2)/(-5) - 122/30. Is y bigger than d? False Let r(k) = k**3 - k**2 + 1. Let f be r(0). Let b = 2377 + -35653/15. Does f = b? False Let j(k) = -k**3 - 9*k**2 - 23*k - 94. Let n be j(-7). Is n less than or equal to -28? True Suppose 5*p = -7 + 22. Suppose 3 = -p*o + 9. Let q be (o/(-138))/((-15)/90). Which is smaller: q or 1? q Suppose -2*v + t - 16 + 0 = 0, 5*v - 2*t + 40 = 0. Let h be 6/(-4)*64/(-12). Suppose 0*o - 4*o + 35 = -3*w, 4*o - h = 0. Which is greater: w or v? v Let m = 28 + -97. Which is greater: m or -71? m Let q(t) = -t**2 - 5*t + 10. Let h(w) = -w**2 - 4*w + 3. Let m be h(-6). Let r be q(m). Let l = -23 - r. Is l at most 6? True Let w be (-2 - (0 + 1)) + 1. Let x be w + 1*(2 + -2). Is -3 at most as big as x? True Let s = 139371/7 + -14491329/728. Let v = 3479 - 27795/8. Let g = s - v. Are g and 0 unequal? True Let y = 37.6 + 4.4. Let k = 42 - y. Which is greater: -7/5 or k? k Suppose 0 = -7*p + 2*p - 15. Suppose -3*q - s - 17 = 4*s, 4*q + s = 0. Let d = q + p. Is d greater than -9/5? False Let h = -39 + 45. Which is bigger: 23 or h? 23 Let j = -18/5 - -4. Suppose 193 = -15*p - 317. Which is smaller: p or j? p Suppose -1254 + 1146 = 2*i. Which is greater: -55 or i? i Let x(o) = o**3 + 6*o**2 + 4*o - 7. Let d be x(-5). Let f = d + 23. Does f = 20? False Let n = 8 + -3. Let w = -25 + 25. Suppose -z + 4 = -w. Does n = z? False Let f(j) = -j + 2. Let t be f(-3). Suppose -t = -2*o + 11. Which is smaller: 2 or o? 2 Let v = 179 - 188. Does v = -1? False Let t = -2 + 8. Suppose -p - t = -0. Let r be p/(-16)*120/(-54). Which is smaller: r or -1? -1 Let z(p) = -3*p - 1. Let i be z(-1). Let k be (1/i)/(6/3). Which is bigger: -0.2 or k? k Let d be 26/8 - (-2)/(-8) - 172. Do d and -170 have the same value? False Let z(d) be the first derivative of d**4/4 + 3*d**3 - d**2/2 - 2*d - 5. Let c be z(-9). Suppose o + c = -1. Is -8 smaller than o? False Let a(q) be the second derivative of -q**4/12 + 7*q**3/6 + q**2 - 6*q. Let n be a(9). Let b be -1 + 7/(28/n). Are b and -2/11 equal? False Suppose -z - 12 = 14. Suppose -186 = 44*x + 1002. Is z greater than x? True Let p be ((-2 - -3)*(-25 - 0))/(-1). Let d = -13 - 12. Let v = 50 + d. Is v at least p? True Let b = 56 + -75. Let j = -21 - b. Are -5 and j unequal? True Suppose -1 = -4*s - 9, -5*c - 4*s = 33. Let t be (c/(-2))/(2/4). Suppose 0*n + d = -3*n + 7,
{ "pile_set_name": "DM Mathematics" }
*b + j, b + j = -j + p. What is the greatest common factor of 36 and b? 12 Let b be (150/18 - 11)*(-78)/4. Calculate the highest common divisor of 4 and b. 4 Let z be (1 - (481 + -5)/(-4)) + 1. What is the greatest common factor of z and 44? 11 Suppose 2*w + 1 - 7 = 0, -5*o + 126 = 2*w. Let b = o - 7. What is the greatest common factor of b and 85? 17 Suppose -21*p + 22 = -16*p + 2*m, 5*p - 5*m = 15. What is the greatest common divisor of p and 12? 4 Let k = -264 + 308. Calculate the highest common factor of k and 11. 11 Suppose 2*d + 4*q + 318 = 5*d, 0 = 4*q - 12. Calculate the highest common divisor of 20 and d. 10 Suppose -2*v = -4*v + 3*z + 597, 0 = -5*z + 5. Suppose -5*k + 125 + v = 0. Let p be 32 + 3 + (-3)/3. What is the greatest common factor of p and k? 17 Suppose -4*w - 3*j = -53, -3 - 8 = -w - 3*j. Let y(l) = -2*l**3 - 8*l**2 - 4*l. Let q be y(-5). What is the greatest common factor of w and q? 14 Suppose 5*m = 6 + 34. Let p = m + -6. Suppose -l = -1 - p. What is the highest common divisor of 27 and l? 3 Let c = 11 - 8. Suppose 4*p = 2*q - 24, 2*q = -c*q - 5*p + 45. What is the highest common factor of q and 30? 10 Let v be (-22 - -37) + 4/2. What is the highest common factor of 4 and v? 1 Let z(y) = -6*y + 11. Let s be z(-7). What is the greatest common factor of s and 53? 53 Let s = -681 - -1106. What is the highest common divisor of s and 75? 25 Let u(m) = 60*m + 240. Let n be u(-1). Let r = 4 + -3. Let p(g) = 20*g**2. Let o be p(r). What is the greatest common factor of n and o? 20 Let j(t) = 11*t**2 - 6*t - 1. Let y be j(3). Let n = -4 - -6. Suppose -n*w + 0*w = -y. What is the highest common divisor of 5 and w? 5 Suppose 4*d + 26 = -3*y, -4*y + 3*d + 3 + 4 = 0. Let n(h) = 7*h + 3. Let g be n(y). Let i = -5 - g. What is the highest common divisor of i and 4? 2 Suppose 5*k - 2*z - 67 = 0, 3*z + 45 = 5*k - 23. What is the greatest common factor of k and 611? 13 Let s = -112 - -192. What is the highest common divisor of 200 and s? 40 Let g be (-8)/(-28) - 78/(-21). Suppose -4*i = g*x - 936, 0 = x - i - 0*i - 228. Calculate the greatest common factor of x and 21. 21 Suppose b - 4 = -3*t + 18, -3*b - t = -26. Suppose 142*s - 137*s - 5 = 0. Calculate the highest common factor of s and b. 1 Let p(w) = -w**3 - 43*w**2 - 89*w + 33. Let j be p(-41). What is the highest common divisor of 60 and j? 20 Suppose 4*m = -16, 3*m = -2*d - 0*m - 12. Suppose s + s = d. Suppose -2*g + s*g = -18. Calculate the greatest common divisor of g and 99. 9 Let d = 200 - 8. What is the highest common factor of 24 and d? 24 Suppose 1134 = 93*w - 84*w. What is the highest common divisor of 42 and w? 42 Suppose -2*t - 63 = -107. Calculate the highest common factor of 154 and t. 22 Suppose 242 = 2*y + 70. What is the highest common factor of 774 and y? 86 Let k(y) = -y**2 + 24*y + 11. Suppose -2*b + 2*j + 50 = 0, -3*b + 71 = 3*j - 2*j. Let c be k(b). Calculate the greatest common divisor of 55 and c. 11 Let n = -14 + 16. Let p(d) = 0*d + 7*d**n + d**3 - 3*d - d - 5. Let o be p(-7). What is the highest common factor of 138 and o? 23 Suppose -6 + 2 = -2*m. Let t(c) = 7*c - 5*c**m - 3*c**3 + 4 + 15*c**2 + 4*c**3. Let j be t(-9). What is the highest common divisor of j and 242? 22 Let j(r) = r**2 + r**2 + 5 + 47*r**3 - 6. Let h be j(1). Suppose -1423 + 706 = -16*a + 1203. What is the highest common factor of h and a? 24 Let p(y) = -y - 8. Let k be -9 - (-1*3)/(-3). Let x be p(k). Suppose 3*a - 52 = 14. What is the greatest common factor of a and x? 2 Suppose -1059 = -g - 1041. Calculate the greatest common divisor of 366 and g. 6 Suppose 2*k - 3*k + 20 = 5*j, -j = 3*k - 18. Suppose 3*a - 4*a = -j. Let l = 23 - 2. What is the highest common divisor of a and l? 3 Let f = 11 + 37. Suppose -2*p + 1 = -3. Suppose p*v - f = -b + 3*v, 0 = -3*b - 5*v + 176. Calculate the highest common divisor of b and 78. 26 Suppose -23*i = -20*i - 81. Let p = -16 + i. What is the greatest common factor of p and 1? 1 Suppose -5*y = -3*y - 88. Suppose -4*p - 3*x = -0*p - y, -5*p + 78 = -2*x. Let r be (44/5)/(4/70). What is the highest common divisor of p and r? 14 Let h(m) = 8*m**2 + 5*m - 1. Let x be h(4). Suppose 546 = 12*f + 14*f. What is the highest common divisor of f and x? 21 Let y be ((-2)/(-5) + (-12)/(-20))*-18. Let p be (-28)/6*9*y/21. What is the highest common factor of p and 54? 18 Let x = 84 - 18. Let l(p) = -4*p - 6. Let j be l(-6). Suppose -11*n + 14*n - j = 0. What is the highest common factor of x and n? 6 Suppose -2*q = 5*n - 1 - 10, 5*n - 2 = q. Suppose 2*v = -2*v - 8. Let l = 4 - v. Calculate the highest common factor of l and q. 3 Suppose -z - 18 = -23. Suppose z*x - 8*x = 21. Let i(d) = -d**3 - 6*d**2 + 6*d - 2. Let r be i(x). Calculate the greatest common factor of r and 15. 5 Suppose -24*d + 9*d + 1500 = 0. Calculate the highest common divisor of d and 12. 4 Suppose 3*r - 566 = -4*z + 8*r, 3*z - 4*r - 424 = 0. What is the greatest common divisor of 117 and z? 9 Let z(y) = -y**2 - 3*y + 10. Suppose 6*r - 3*r + 9 = 4*a, -9 = 4*a + 3*r. Let b be z(a). What is the highest common factor of b and 15? 5 Suppose 6*x = 10 + 14. Suppose x*j = -5*t + 475, 5*j = -3*t - 0*j + 298. Calculate the highest common factor of t and 7. 7 Let y = 44 - 34. Suppose 108 = -6*r + y*r. Calculate the greatest common divisor of 108 and r. 27 Let y = 75 - 32. Let h = y - 22. What is the greatest common divisor of 14 and h? 7 Let m be (-434)/(-12) - 1*5/30. Calculate the greatest common factor of 90 and m. 18 Suppose -42*k + 2900 = -13*k. Let g be (-201)/(-5) - 5/25. Calculate the greatest common divisor of g and k. 20 Let f be (3 + -4)/((-1)/2). Suppose f*g + g = 15. Let z = 31 - 26. What is the greatest common factor of z and g? 5 Let v be 1/5 - 10/50. Let d be v/(4/(-4)) - -4. Calculate the highest common factor of d and 28. 4 Let b(n) = -n**2 + 32*n - 156. Let h be b(23). Calculate the greatest common factor of h and 18. 3 Suppose -5*x = 5*q - 55, -2*x - 5*q - 37 = -47. Let i = -251 + 386. What is the greatest common divisor of i and x? 15 Suppose 0 = -6*o + 1402 - 1108. What is the greatest common factor of 91 and o? 7 Let g(b) = -b**2 - 18*b - 67. Let j be g(-11). What is the highest common divisor of j and 130? 10 Let s be -9 + 948/108 + 544/18. Let h = 9 - -6. What is the highest common divisor of h and s? 15 Suppose 5*m = 275 + 400. Suppose 5*f - 150 = -5*o, 2*f + 199 - 232 = -o. What is the highest common divisor of o and m? 27 Let z be (34/(-4))/((-117)/18 + 6). Let g be (136/6)/((-4)/(-6)). Calculate the greatest common factor of z and g. 17 Suppose -3*b - 31 = -55. Suppose -b*w + 12*w = 36. What is the greatest common factor of 45 and w? 9 Let u(d) = 4*d**2 + 2. Let b be u(1). Suppose 0 = -0*q + b*q - 1188. Calculate the highest common divisor of q and 18. 18 Suppose 14*k - 398 = -286. Let x be ((-168)/30)/(1/(-10)). What is the highest common factor of k and x? 8 Let j be -2 - (-3)/(-1 - -4). Let o be j/(2/(-4)) - -440. Suppose 4*a = -a - 2*h + o, 0 = 2*h - 2. What is the highest common divisor of a and 22? 22 Let k = -28 - -29. Suppose 3*p + 2 + 4 = 0. Let y be (k/p)/(2/(-24)). What is the highest common factor of y and 42? 6 Let j = 2034 - 3019. Let o = -607 - j. Calculate the greatest common divisor of o and 42. 42 Let u = 38 - 36. Let c be (-8)/4 + (19 - 1). What is the greatest common divisor of c and u? 2 Let z = -347 + 437. Calculate the highest common factor of z and 585. 45 Let x = 627 - 595. Calculate the highest common factor of x and 72. 8 Suppose t + 58 = -70. Let l be t/(-12) + (-4)/6. What is the highest common factor of 20 and l? 10 Let j be ((-4)/(-7))/(10/35). Let b = j + 1. Calculate the greatest common divisor of 33 and b. 3 Let w be 364/2 + -1 + 0. Suppose -2*a + 5*j - w = -4*a, -4*j = 5*a - 461. What is the highest common divisor of a and 31? 31 Suppose 11*b = -2*u + 6*b + 1927, 3*u = -5*b + 2893. What is the highest common factor of u and 42? 42 Suppose -3*b + 6 = -36. Let z be ((-864)/(-720))/(4/70). Calculate the greatest common divisor of b and z. 7 Suppose d + 2*r = 5, -4*d - 3*r = r - 40. Suppose 27 = 4*p + 3*c, 5*p - 2*c - 2 = p. What is the greatest common factor of d and p? 3 Suppose 0 = -4*z - 242 + 754. Let u be 4/8*6 - (0 + -2). Suppose -u*f =
{ "pile_set_name": "DM Mathematics" }
2*y + 2 Let n be (-6)/21 + (-24)/14. Let y(f) = -2*f + 0 - 5 + 1 - 1. Let w(v) be the second derivative of -v**3/6 - 2*v**2 - 7*v. Determine n*y(h) + 3*w(h). h - 2 Let s(w) = 4*w**3 - 9*w**2 - 12*w. Let q be (-13)/(-2) - (-50)/20. Let v(m) = -m**3 + 2*m**2 + 3*m. Give q*v(f) + 2*s(f). -f**3 + 3*f Let r(l) = -380*l**3 - 3*l**2 - 3*l + 3. Let v(j) = 761*j**3 + 7*j**2 + 7*j - 7. Calculate -7*r(c) - 3*v(c). 377*c**3 Let q(f) be the third derivative of -f**7/5040 + f**5/5 - 4*f**2 + 7*f. Let z(j) be the third derivative of q(j). Let a(o) = 5*o. Give a(s) + 3*z(s). 2*s Let q(c) = -c**3 + 2*c**2 - 2. Let h(p) = 5*p**3 - 11*p**2 + 9. Let d = 51 + -49. Calculate d*h(l) + 11*q(l). -l**3 - 4 Let v(i) = -98*i**3 + 4*i. Let g(m) = -390*m**3 + 15*m. Calculate -4*g(f) + 15*v(f). 90*f**3 Let a(f) = -f**3 + 6*f**2 + 4*f - 6. Let p = 2 + -1. Suppose 7*m + 212 = 254. Let l(j) = -j**2 - j + 1. What is m*l(t) + p*a(t)? -t**3 - 2*t Let y(d) = 3*d**2 + 193*d - 125. Let w be y(-65). Let v(s) = -33*s**3 - 5*s**2 + 5*s + 5. Let n(m) = 182*m**3 + 28*m**2 - 28*m - 28. Calculate w*n(x) + 28*v(x). -14*x**3 Let b(s) = -956*s**2 + 3*s + 6. Let c(u) = -25810*u**2 + 80*u + 160. Determine 80*b(z) - 3*c(z). 950*z**2 Let k(l) = -l. Let p = -1 - -2. Let w(o) = -2*o + 15. Let q(y) = p*w(y) - 6*k(y). Let i(m) = 2*m + 8. Let h be -1 + 188/(-36) + 8/36. Give h*q(c) + 11*i(c). -2*c - 2 Let u(d) = -144*d**3. Let s(m) = -13*m**3. Let f = -334 - -278. Determine f*s(b) + 5*u(b). 8*b**3 Let c(l) = 32*l - 7. Let g(f) = 63*f - 15. What is 9*c(y) - 4*g(y)? 36*y - 3 Let g(m) = 7872*m**3 - 28*m**2 - 28. Let z(h) = -1431*h**3 + 5*h**2 + 5. Give -5*g(w) - 28*z(w). 708*w**3 Let l(u) = 12*u**2. Let z(x) = -6*x**2. Suppose -3*r = -3*k - 15, -5*k - 25 = -0*k - 2*r. Calculate k*z(o) - 2*l(o). 6*o**2 Let l(d) = 8*d**2 - 5*d - 5. Let j be 6/1*(-1)/(-3). Let m(z) = -5*z**j + 0*z**2 - 7*z**2 + 4 + 8*z + 4. What is -8*l(h) - 5*m(h)? -4*h**2 Let f(d) = 3*d**2 + 6*d + 2. Let p = -15 - -11. Let m(b) be the second derivative of -b**4/4 - 7*b**3/6 - 3*b**2/2 + 2*b - 1. Determine p*m(t) - 5*f(t). -3*t**2 - 2*t + 2 Let l(m) = -4*m**2 + 9*m**2 + 2 + m**2 - 3*m**2 + 0. Let q(w) = -4*w**2 + w - 2. Give 3*l(u) + 2*q(u). u**2 + 2*u + 2 Suppose 8*s = 11*s + 24. Let a(x) = x**3 + 8*x**2 + 3*x. Let c(q) = -20*q**2 - 3*q + 14*q**2 + 2*q + 3*q**2 + 0*q. Determine s*c(y) - 3*a(y). -3*y**3 - y Let i(m) = -2*m**2 + 2*m + 11. Let g(y) = -5*y**2 + 5*y + 26. Let p(r) = -3*g(r) + 7*i(r). Let h(v) = -6*v**2 - 3*v - 3. What is -h(k) + 3*p(k)? 9*k**2 Let w(h) = 3*h**2 + 9*h + 9. Let s(g) = -g**2 - 27*g - 143. Let z be s(-19). Let v(u) = u**2 + 4*u + 4. What is z*v(f) - 4*w(f)? -3*f**2 Let u(s) = 149*s - 9. Let b(y) = 73*y - 6. What is 5*b(a) - 3*u(a)? -82*a - 3 Let k(q) = 68*q**3 - 17*q**2 - 17*q. Let a(n) = -23*n**3 + 6*n**2 + 6*n. Let f(i) = -i**3 + 30*i**2 + 101*i - 60. Let s be f(33). Determine s*k(d) + 17*a(d). 17*d**3 Let n(u) = u**2. Let x(h) = 8*h**2. Let z be (16 + -15)/((-2)/68). Let w = 28 + z. Determine w*n(q) + x(q). 2*q**2 Let b(m) = -2*m + 1. Suppose 2*p - 5 - 15 = 0. Let u be -1 - ((-20)/(-6))/(12/(-18)). Suppose -p = u*t - 22. Let c(x) = 3*x - 2. Determine t*c(r) + 5*b(r). -r - 1 Let g(k) = 11*k**3 + 137*k**2 + 8*k - 8. Let h(f) = -4*f**3 - 46*f**2 - 3*f + 3. Determine 3*g(a) + 8*h(a). a**3 + 43*a**2 Let n(u) = -u - 1. Let a(o) = 3*o**2 + 2*o + 2. Let z = -42 + 23. Let j(y) = y**2 + 21*y + 37. Let c be j(z). Determine c*a(x) - 2*n(x). -3*x**2 Let u(i) = -2*i**2 + 2*i. Let v be -3 + 4 + 1 + -1. Let d(n) = n**2 - n + 1. Let z(y) = v*d(y) + u(y). Let q(h) = 4*h**2 - h - 1. Determine q(m) + 2*z(m). 2*m**2 + m + 1 Let u(v) = -v**3 + 248*v**2 - 5. Let y(r) = -1. What is -u(f) + 5*y(f)? f**3 - 248*f**2 Let b(p) = 11*p + 11. Let f(i) = -i. What is b(h) + 6*f(h)? 5*h + 11 Let b(o) = 1. Let d(k) = 2*k + 611. Calculate 2*b(p) - d(p). -2*p - 609 Let j(l) be the first derivative of l**2 - l - 489. Let m(a) = a. What is j(f) - m(f)? f - 1 Suppose 24 = 5*b + 9. Let k(x) = -7*x**2 + 3*x - 3. Let r(t) = -4*t**2 + 2*t - 2. Let d = -16 + 11. Give b*k(j) + d*r(j). -j**2 - j + 1 Suppose 3*v + 14*s = 9*s - 24, 2*v = s - 3. Let n(o) = -12*o**3 - 7*o**2 - 8. Let k(t) = -4*t**3 - 2*t**2 - 3. Calculate v*n(l) + 8*k(l). 4*l**3 + 5*l**2 Let c(o) = -7*o**2 - 6*o + 6. Let b(p) = -10*p - 306. Let j be b(-30). Let q(h) = -15*h**2 - 13*h + 13. Give j*q(x) + 13*c(x). -x**2 Let k(o) = -252*o**3 - 16*o**2 - 21*o + 3. Let f(p) = -168*p**3 - 11*p**2 - 15*p + 2. What is 7*f(x) - 5*k(x)? 84*x**3 + 3*x**2 - 1 Let g(b) = 10*b**3 - 11*b**2 + 27*b - 22. Let w(x) = -x**3 + x**2 - x + 2. What is 2*g(u) + 22*w(u)? -2*u**3 + 32*u Let n(b) = -31*b**2 + 6*b - 49. Let u(z) = 11*z**2 - 2*z + 17. Give 6*n(x) + 17*u(x). x**2 + 2*x - 5 Let h(y) = -2*y - 39. Let l(a) = -2*a - 38. Give 3*h(g) - 4*l(g). 2*g + 35 Let y = 202 - 207. Let u(m) = -m**3 + m**2 + m + 1. Let h(s) = 9*s**3 - 6*s**2 - 6*s - 6. Calculate y*h(q) - 30*u(q). -15*q**3 Let m(l) = -18*l**3 + 9*l**2 + 9*l - 9. Let f = -451 + 442. Let b(h) = 9*h**3 - 5*h**2 - 5*h + 5. Give f*b(p) - 5*m(p). 9*p**3 Let k(g) = -9*g**2 + 3*g - 4. Let m(h) = 8*h**2 - 2*h + 3. Suppose 2*w + 21 = -5*w. Determine w*m(v) - 2*k(v). -6*v**2 - 1 Let u(g) be the second derivative of g**5/20 + g**4/6 + g**2 + 88*g. Let v(d) = -2*d**3 - 6 - 1 - 5*d**2 + 2. Determine -5*u(z) - 2*v(z). -z**3 Let m(s) = -s + 2. Let x(n) = -8*n + 17. Calculate 18*m(r) - 2*x(r). -2*r + 2 Let p = 4 + -9. Let g(k) = -2*k - 1. Let s be (10/(-8) - 425/(-100)) + -1. Let c(y) = -2 - 4*y - 3*y + 3*y. What is p*g(r) + s*c(r)? 2*r + 1 Suppose 53*z + 15 = 58*z. Let o(h) = -6*h - 5*h + 6 + 5*h**z + 4 - 3. Let k = -16 + 22. Let w(p) = -3*p**3 + 6*p - 4. Calculate k*o(f) + 11*w(f). -3*f**3 - 2 Let l(w) = -3*w + 14. Let t(d) be the first derivative of -1/2*d**2 - 30 + 5*d. Let r be (-3)/(-6)*-2*11. Give r*t(n) + 4*l(n). -n + 1 Let g(k) be the third derivative of -k**6/24 + k**5/10 - k**4/3 + k**3/2 + 3*k**2 - 51*k. Let i(h) = -4*h**3 + 5*h**2 - 7*h + 2. What is -5*g(q) + 6*i(q)? q**3 - 2*q - 3 Let q = -248 - -251. Let p(s) = -4*s**2 + s - 3. Let o(k) = 5*k**2 - 2*k + 4. What is q*p(w) + 2*o(w)? -2*w**2 - w - 1 Let s(i) = 16*i**3. Let m(r) = -943 + 2*r**3 + 1886 - 943. What is 18*m(k) - 2*s(k)? 4*k**3 Let q(k) = 3*k - 4. Let a = -42 + 48. Suppose 5*n - a*n = -4. Let f(l) = 1. Calculate n*f(c) + q(c). 3*c Let h(r) = r - 16. Let k(t) = 2*t - 16. Calculate -4*h(l) + 5*k(l). 6*l - 16 Let o(m) = 4*m + 4. Let p(r) = 3*r + 3. Let c = 305 - 299. Suppose -5 = -5*z + 5*x - 0*x, 3*x + 35 = -5*z. Give c*p(k) + z*o(k). 2*k + 2 Let s(o) be the first derivative of 6*o**2 - 439. Let r(p) = 13*p. Give 7*r(g) - 6*s(g). 19*g Let g(q) = 3*q**3 + q**2 - 2*q - 2. Let k(m) = -m**3 - m**2 + m + 1. Let r = 11 - 8. Let x be 8/(-6)*(r - 0). Let w = -5 - x. What is w*g(f) - 2*k(f)? -f**3 + f**2 Let p(u) be the first derivative of 5*u**3/3 + u - 16. Let d(j) = 4*j**2 + 1. What is 7*d(m) - 6*p(m)? -2*m**2 + 1 Let f(v) = 75*v - 44*v - 27*v. Let b(g) = -9*g. Determine 4*b(c) + 7*f(c). -8*c Let o(t) = -56*t + 21. Let r(y) = -49*y + 1. Let n(q) = -16*q + 1. Let l(f) = 7*n(f) - 2*r(f). Give -21*l(i) + 5*o(i). 14*i Let j(o) = 328*o - 1107. Let h(m) = -m + 3. Give -1476*h(x) - 4*j(x). 164*x Suppose 4*a - 9 = -41. Let v(b) = -11*b**2 - 3*b - 8. Let o(l) = l**2 + 20*l - 120. Let k be o(-25). Let r(m) = -7*m**2 - 2*m - 5. Give a*r(y) + k*v(y). y**2 + y Let y(m) = -78*m + 38. Let c(s) = 26*s - 11. Give 7*c(u) + 2*y(u). 26*u - 1 Let s(o) = 3*o - 5. Suppose 79 = 14*j + 93. Let u(x) = 1 - 2 + 0. Give j*s(t) + 3*u(t). -3*t + 2 Let q(m) = -4. Let f(i) = 10*i - 23. Calculate f(t) + 4*q(t). 10*t - 39 Suppose -3*y + 3*a + 40 = 4*a, -2*y - 3*a = -22. Suppose 3*x = 4 + y. Let s(n) = 2*n - 2 + 2. Let d(z) = z. Give x*s(u) - 11*d(u). u Let z(k) = -59*k - 11. Let b(j) = 2*j + 3. Calculate 4*b(t) + z(t). -51*t + 1 Let m(h) = -20. Let j(q) = -q - 14. What is -6*j(o) + 5*m(o)? 6*o - 16 Let b(z) = 3*z**2 - 6*z + 6. Let k(h) = -h**2 - h - 1. Determine -b(c) - 5*k(c). 2*c**2 + 11*c - 1 Let s(o) = o**3 - 9*o**2 + 13*o + 6. Let h be s(7). Let g = -9 + 15. Let p(j) = j**2 + j - 1. Let d(t) = 8*t**2 + 6*t - 4. What is g*p(k) + h*d(k)? -2*k**2 - 2 Suppose -11*k - 6 = -14*k. Let l(g) = 13 + g**k - 2*g - 11 - 1. Let q(o) = -4 + 1 - o**2
{ "pile_set_name": "DM Mathematics" }
x**2. Let d(h) be the third derivative of -h**5/60 + 2*h**2. What is w(d(f))? 6*f**4 Let y(f) be the first derivative of f**3/3 + 2. Let s(g) = -23*g**2 + 21*g**2 - 2 + 2. Give s(y(q)). -2*q**4 Let p(z) be the first derivative of 0*z**2 + 1/3*z**3 - 3 + 0*z. Let f(a) = -2*a + 13*a + a. Calculate f(p(g)). 12*g**2 Let q(f) = 3*f**2 + 5*f. Let c(g) = g**2 + 2*g. Suppose -7*o + 2*o - 5 = 3*v, 4*v - o = -22. Let y(b) = v*c(b) + 2*q(b). Let z(p) = -10*p**2. Calculate z(y(w)). -10*w**4 Let l(i) be the third derivative of -4*i**4/3 - i**2. Let c(a) = -2*a**2 + 6*a - 12. Let m(o) = o**2 - 2*o + 4. Let z(r) = c(r) + 3*m(r). What is l(z(j))? -32*j**2 Let u(m) = 221*m - 62. Let t(l) = 10*l**2. What is u(t(d))? 2210*d**2 - 62 Let c(h) = -h - 10. Let r(o) = -11*o - 30. Let d(m) = -3*c(m) + r(m). Let b(q) = -11*q - 2. What is d(b(t))? 88*t + 16 Let w(t) be the second derivative of t**3/6 - 936*t. Let x(h) = 236*h**2. Calculate x(w(r)). 236*r**2 Let t(z) = -3*z + 35 + 36 + 9. Let w(k) = -2*k. Determine w(t(y)). 6*y - 160 Let j(a) = 3*a. Let w(g) = -364458*g**2. Determine j(w(x)). -1093374*x**2 Suppose 0*z - 55 = -5*z. Let g = -9 + z. Let y(u) = 0*u**2 + u**2 + g*u**2. Let k(x) = x. Calculate k(y(q)). 3*q**2 Let b(f) = f - 2. Let z be b(4). Let k(l) be the third derivative of 0*l**3 + 0*l**4 + 0*l - 1/30*l**5 + 0 + 2*l**z. Let p(i) = 5*i. Determine p(k(c)). -10*c**2 Let a(t) = -1103*t. Let b(k) be the second derivative of k**4/12 + 327*k. What is b(a(i))? 1216609*i**2 Let v(w) = 11*w - 4. Let x(o) be the second derivative of o**3/2 - 45*o + 1. Determine x(v(q)). 33*q - 12 Suppose -5*a = -4 - 6. Let z(c) = 5*c**2 + 3*c**a + 7*c**2 - 17*c**2. Let p(b) = b**2. Determine z(p(q)). -2*q**4 Let c(z) = 4*z. Let q(x) = x**3 - 10*x**2 + 9*x + 6. Let l be q(9). Let g(k) = l*k - k - 5*k + 2*k. Give c(g(u)). 8*u Let p(v) be the first derivative of -2*v**2 - 4*v + 27. Let u(y) = 1. Let f(w) = p(w) + 4*u(w). Let q(c) = -8*c**2. Determine q(f(n)). -128*n**2 Let x(k) = -6*k - 5. Let p(y) = 4 - 3*y + 0*y + 11*y - 3*y. Let u(q) = -5*p(q) - 4*x(q). Let g(r) = -11*r**2. Give g(u(l)). -11*l**2 Let f(p) = 2639*p. Let v(s) = -s + 31. Determine f(v(g)). -2639*g + 81809 Let t(u) = 21*u. Let r(j) = -3*j**2 + 2*j + 2. Let o(f) = -80*f**2 + 55*f + 55. Let l(q) = -2*o(q) + 55*r(q). Give l(t(a)). -2205*a**2 Let l(a) = -32583*a**2. Let o(b) = -5*b. Give l(o(k)). -814575*k**2 Let r(a) = 522*a. Let n(k) = -9*k**2. Give n(r(z)). -2452356*z**2 Let d(t) be the first derivative of t**6/360 - 4*t**3 + 22. Let x(w) be the third derivative of d(w). Let k(p) = 53*p**2. Give k(x(z)). 53*z**4 Let c(v) = 2*v. Let s(g) = -1. Let n(w) = 2*w + 8. Let i(y) = -3*n(y) - 24*s(y). Let m(q) = 8*c(q) + 3*i(q). Let b(j) = -18*j**2. What is b(m(k))? -72*k**2 Let l(n) = 3*n**2 - 27*n. Let s(h) = -122*h. Determine l(s(r)). 44652*r**2 + 3294*r Let f(j) = 5*j**2 - 28*j**2 - 53*j**2. Let t(k) = k. Calculate t(f(v)). -76*v**2 Let y(f) = 3*f. Let j(n) = 4*n - 2*n - 6*n + 0*n + 0*n. What is y(j(i))? -12*i Let j(r) = -897 + 2*r + 897. Let q(d) be the third derivative of -d**5/60 - d**3/3 + 2*d**2. Let f(v) be the first derivative of q(v). Calculate f(j(p)). -4*p Let q(z) = z. Suppose 5*u - 19 = -3*l, -3*u = -l - 6 + 3. Let p(f) = 3*f - l + 2 + 1. Give p(q(w)). 3*w Let r(j) = -4*j**2. Let b(s) = -2*s**2 - 44302*s. Determine b(r(o)). -32*o**4 + 177208*o**2 Let r(x) = 37*x**2. Let h(u) = u**3 - 2*u**2 + 8*u + 1. Let g be h(4). Let q(p) = -p**2 - g + 65. Calculate q(r(z)). -1369*z**4 Let t(h) = h**2. Let r(a) = 2*a**2 + 2069531. Determine r(t(p)). 2*p**4 + 2069531 Let p(b) = 315*b - 150*b - 148*b. Let v(l) = -3*l**2 + 2*l**2 + l + l. Let x(u) = -3*u**2 + 5*u. Let d(n) = -5*v(n) + 2*x(n). Determine d(p(o)). -289*o**2 Let r(b) = -2*b**2 - 2768. Let h(y) = 10*y. Determine r(h(p)). -200*p**2 - 2768 Let u(q) be the second derivative of q**4/12 - 3*q. Let n(v) be the third derivative of v**4/8 + 2*v**2 - 15. What is u(n(f))? 9*f**2 Let r be 177/(-18) - (-3 - 7). Let h(d) be the second derivative of -r*d**3 + 0 + d + 0*d**2. Let f(t) = t**2. What is f(h(a))? a**2 Let j(r) be the third derivative of 0*r - 1/12*r**4 + 0 + 8*r**2 + 0*r**3. Let n(u) = -u. Give j(n(o)). 2*o Let m(s) be the first derivative of -s**2 + 2. Let n(u) = 20*u**2 - 5*u - 5. Let t(x) = 20*x**2 - 6*x - 6. Let j(i) = -6*n(i) + 5*t(i). Give j(m(h)). -80*h**2 Let s(i) = -27*i**2 + 15*i. Let b(y) = 7*y**2 - 4*y. Let c(l) = 15*b(l) + 4*s(l). Let m be (-3 + 3)/4 + 2. Let h(n) = 4*n - 2*n + 4*n - m*n. Calculate c(h(x)). -48*x**2 Let y(w) = -66*w. Let o(x) = -70*x. What is o(y(t))? 4620*t Let w(v) be the second derivative of -103*v**4/12 - 7*v. Let b(a) = 3*a. Calculate b(w(m)). -309*m**2 Let c(h) = 7*h**2 + 4*h**2 + 9*h**2 - 23*h**2. Let t(k) be the first derivative of k**2 - 3. What is t(c(l))? -6*l**2 Let a(p) = 8*p - 9. Let q(w) = -w + 1. Let n(j) = -2*a(j) - 18*q(j). Let o(b) = 19*b + 2. Let x(f) = -39*f - 5. Let k(l) = 10*o(l) + 4*x(l). Give n(k(m)). 68*m Let q(t) = -4*t. Suppose 4*z - 3*z = 3. Suppose -5*g = -z*d - 13, 3*d + 3 = -g - 2*d. Let l(j) = 9*j**2 - 3*j**g + 0*j**2. Give l(q(b)). 96*b**2 Let q(d) = -18*d**2. Let w(h) = -2*h**2 + 5*h. Let y(a) = -2*a - 18 + 18 + a. Let j(o) = w(o) + 5*y(o). Give j(q(c)). -648*c**4 Let o(m) be the second derivative of -m**4/4 - 2*m - 162. Let i(q) be the third derivative of 0*q + q**2 + 0*q**4 + 0*q**3 + 0 + 1/60*q**5. Calculate o(i(v)). -3*v**4 Let l(n) = -270176*n. Let u(m) = m. Determine l(u(d)). -270176*d Let v(o) = -12*o**2 + 17*o + 2. Let x(a) = 29*a. What is x(v(z))? -348*z**2 + 493*z + 58 Let y(b) = -9*b**2. Let a(o) = -4565 + 4565 + o. Calculate y(a(f)). -9*f**2 Let x(a) = 66*a**2. Let o(g) be the first derivative of -3*g**2/2 - 802. What is x(o(c))? 594*c**2 Let k(h) = -2*h**2. Let a(n) be the second derivative of -76*n**3/3 + 48*n. What is k(a(p))? -46208*p**2 Let j(z) = -4*z + 0*z + 2*z + 0*z. Let f(v) = -176*v**2 - 16*v. Let r(w) = 35*w**2 + 3*w. Let s(l) = -3*f(l) - 16*r(l). Determine j(s(y)). 64*y**2 Let m(p) = -5*p**2 + 18*p + 28*p - 46*p. Let r(c) = 9*c. Calculate m(r(b)). -405*b**2 Let g(p) = -p**2 - 49373. Let y(z) = 11*z**2. Determine g(y(m)). -121*m**4 - 49373 Let j(k) be the first derivative of 0*k**3 - 1 + 11 + 0*k**3 + k**3. Let x(y) = 7*y. Give x(j(n)). 21*n**2 Let b(y) be the first derivative of y**2/2 - 11. Let n(h) = 0*h - 12*h - 16*h. Determine n(b(a)). -28*a Let f(u) = -2*u - 4. Let q(d) = d - 1. Let p(x) = -f(x) + 4*q(x). Let n(l) be the second derivative of -l**4/6 + 116*l. Determine n(p(j)). -72*j**2 Let i(q) = -2*q. Let u(f) = 7*f**2 - 11*f**2 - 5*f**2 + 22*f**2 - 51*f**2. Determine u(i(g)). -152*g**2 Let a(l) be the third derivative of 15*l**4/8 - l**3/6 - 12*l**2. Let v(h) = -1. Let m(u) = 2*u - 3. Let j(r) = -m(r) + 3*v(r). What is a(j(w))? -90*w - 1 Let y(a) = 15*a. Let b(l) = l**2 + 2*l. Let h(o) = -6*o**2 - 11*o. Let f = -31 + 37. Let i(v) = f*h(v) + 33*b(v). Determine y(i(m)). -45*m**2 Let a(f) = 2*f. Let h(r) = 4385739*r**2. Determine a(h(y)). 8771478*y**2 Let x(q) = -7*q. Let u(h) be the second derivative of h**5/60 - 21*h**2/2 - 10*h. Let r(p) be the first derivative of u(p). Calculate x(r(k)). -7*k**2 Let c(o) = o. Let u(g) = 8 - 10 + 6 + 8 - 15*g + 2. Calculate c(u(k)). -15*k + 14 Let x be (-2)/(-17) - (-3)/((-153)/312). Let t(v) = -680*v. Let q(i) = 34*i. Let f(s) = x*t(s) - 119*q(s). Let c(z) = 2*z**2. Give c(f(b)). 2312*b**2 Let h(c) = -4*c - 1. Let g(j) = -276*j - 1. What is g(h(l))? 1104*l + 275 Let z(x) = 4*x**2. Let d(g) be the second derivative of 19*g**4/24 + g**2/2 + 23*g. Let v(p) be the first derivative of d(p). What is v(z(q))? 76*q**2 Let t(r) = -3*r - 3*r**2 + 12 - 5 - 10 + 17*r**2. Let i(y) = -14*y**2 + 2*y + 2. Let z(n) = -3*i(n) - 2*t(n). Let s(k) = 3*k. Determine z(s(u)). 126*u**2 Let h(d) = -1 + d + 6*d - 8*d. Let v(s) = 2*s + 4. Let w(g) = -4*h(g) - v(g). Let j(z) = 4*z**2 + 0*z**2 + 0*z**2. What is w(j(c))? 8*c**2 Let d(r) = 2*r. Let w(u) = 70*u + 14. Let z(h) = 38*h + 7. Let j(i) = -6*w(i) + 11*z(i). Give j(d(l)). -4*l - 7 Let y(c) = c - 3. Let o be y(3). Let t(z) = 2*z**2 + z - z + o*z. Let u(d) = -1. Let k(s) = 3*s**2 + 3. Let v(w) = -k(w) - 3*u(w). Determine t(v(a)). 18*a**4 Let h(r) = -1148*r. Let c(p) = 154*p + 4. Determine c(h(m)). -176792*m + 4 Let
{ "pile_set_name": "DM Mathematics" }
-2*u + 2, 3*m - 5*u + 16 = 0 for m. -2 Suppose -15 = 4*d - 287. Let y = 66 - d. Let p be y + -2 + 5 - -1. Solve -5*s - 8 = -r, 5*r - p*s - 19 = 2*s for r. 3 Let d(f) = -6*f - 10. Let o be d(-12). Let g = 170 - 111. Let i = o - g. Solve -4*q - 26 = -0*x - i*x, -3*x + q = -11 for x. 2 Let h = -1 - -22. Let m be (-3)/h - 29/(-7). Solve -2*a + 0*a = -s + 7, m*a + 17 = -s for a. -4 Suppose 4*w - 5*g + 4 + 3 = 0, -3*w - 2*g = -12. Let d(n) = n**2 - 1178*n + 23161. Let a be d(20). Solve w*y - 3*m = -8, y + m = -2*y - a for y. -1 Let i(t) = -68*t + 139. Let m be i(2). Solve -5*b - m*q - 19 = -b, 4*b = -4*q - 20 for b. -4 Let z(j) = j**2 - 24*j - 986. Let f be z(46). Solve -3*h + 18 = -3*b, b + f*h - 23*h - 2 = 0 for b. -4 Suppose -5*p + 4*n + 101 = 0, 5*n - 6 + 1 = 0. Let s be (0 + 10)*p/105. Solve -d + 3*l = s*l - 3, -3*d + 7 = -5*l for d. 4 Suppose -326*t - 51 = -343*t. Solve 0 = -2*j + j + 2*n - 4, -4 = 2*j - t*n for j. 4 Suppose -4*f - 13 = 5*g, -94*f = -92*f - 2*g - 16. Solve -2*a = -f*k + 4, 5*a - 32 = -4*k + k for k. 4 Suppose 0 = -3*w - w + 8. Let l be ((-24)/16 - -1)*0/w. Solve -2*d + 18 = -4*a, l = 2*a + 2*a - 3*d + 17 for a. -5 Suppose -5*w = -5*p - 69 - 46, p - 97 = -4*w. Solve -f - 2*d = -5, w*f = 25*f + 3*d - 5 for f. 5 Let y = -26 + 113. Let n = -149 + y. Let t be (-4 - -1)*n/93. Solve -5*i = 5*c - 5, -t*c - 2*i - 2*i = 4 for c. 4 Let x be (0 - 56)/(-1 + 0). Suppose v = -3*v + x. Let u be ((-340)/102)/(-1*(6/(-9) + 1)). Solve 0 = -3*p + 4*a - v, -5*p + a - u = -p for p. -2 Let a(b) = -b**2 + 14*b - 5. Let k be a(3). Suppose -26 = -3*h + k. Suppose -5*j + 2*c + 25 = 0, -j + 3*c + h = -0*c. Solve 2*q = j*d - 12, 5*q = 4*q for d. 4 Suppose 218*i - 7888 = -912. Solve -2*w + 13 = -x, 0 = 62*w - 66*w + 4*x + i for w. 5 Let s(c) = -19*c**2 - 73*c + 14. Let f be s(-4). Solve -4*m - a - 13 = 0, -3*m = -3*a - f*a - 19 for m. -2 Suppose 0 = 5*u - 5*a - 25, -38*u + a + 9 = -35*u. Solve u*f + 1 = 3*p - 5, 5*f + 15 = 3*p for p. 0 Suppose 5 = -a - 4*k, -a + 0*k + k = -15. Suppose 115 = -2*q + 7*q. Suppose -5*c - q + 23 = 0. Solve -s = -3*t - a, c*s - t = -4*s for s. -1 Suppose 3*y + t - 8 - 55 = 0, 10 = y + 4*t. Suppose -23*s + 40 = -y*s. Suppose -5*v = -3*r - s, -v + 0 = 4*r + 15. Solve 0 = -v*z + 5*b + 15, -5*b = -10 for z. 5 Suppose 0 = -3*r - 70 - 14. Let m be r/98 + 58/7. Solve f + 6 = -s, 0 = 4*f + m + 4 for s. -3 Let c be (1 - -13)/(4*(-4)/(-24)). Suppose 18*j + c = 25*j. Solve 0*t = -j*t + 15, 4*m + t = -11 for m. -4 Let y(b) = 3*b + 217. Let n be y(-53). Let d be 1 - (5/(-2))/(29/n). Solve -3*p + 6 = 2*c - 0*c, -3*p + c = -d for p. 2 Suppose 9*q = 18*q - 675. Let a = q + -71. Solve 0 = m - a, -3*t - m + 8 = t for t. 1 Let w = -213 - -224. Let s be (-25)/(-1) - 7 - (2 - -1). Solve 2*o = 3*g - 17, o + s = 5*g - w for g. 5 Let s(z) = -z**3 + z**2 + 2*z - 109. Let u be s(0). Let a = u + 112. Solve -f - 3*k - 16 = 0, a*f + 2*k + 20 = -0*f for f. -4 Suppose -80*h = -588 + 268. Solve 5*j = h*l + 10 + 17, -l = -5*j + 18 for l. -3 Let b be (1 + -1)/(69 - 70). Solve b = 4*n - 3*v - 16, 3*n = -7*v + 10*v + 12 for n. 4 Let j = -18 - -20. Suppose 0 = -45*m + 46*m - j. Solve -4*d = -2*w + 16, m*w = 5*d + 6*w - 6 for d. -2 Let a = 9301 + -9298. Solve -4*w + a*q = -3*w + 15, 5*w + 3*q + 3 = 0 for w. -3 Suppose -1347077*i = -1347057*i. Let g(d) = -d**3 + 2*d**2 + 2*d. Let z be g(2). Let y be 4 + 0/(2/1). Solve z*o - y*s + 20 = i, 5 - 1 = 2*o + 5*s for o. -3 Let p = 92 - 87. Solve -3 = -3*j, 0 = c - j + p - 3 for c. -1 Suppose -2*c - 31148 = -31154. Solve c*u - 4*y - 11 = 6, -7 = 2*u + y for u. -1 Let g = 11141 + -11129. Solve -10*o + g*o + b = -6, -3*o + 2*b = -5 for o. -1 Let m(x) = x**3 + 8*x**2 + 2*x - 4. Let r be m(-3). Suppose -59 + r = 2*c. Let s = c + 15. Solve o + 2*g + 5 = -1, -s*o = 5*g + 17 for o. -4 Suppose 4*g = -24, 7*l - 2*l = -4*g - 9. Solve 0 = -3*z + u - 5, 24 = 5*z + l*u + 37 for z. -2 Let l(r) = -r**3 - 81*r**2 + 254*r + 173. Let i be l(-84). Let t be (-34)/8 + 2/8. Let j = t - -14. Solve -3*m + 4*p = -i*m + j, 5*m + 31 = 4*p for m. -3 Let w = 14 - 22. Let l be (-2 - 116)*4/w. Suppose -49 = 5*r - l. Solve r*g - 4*b = -8, -2*b + 8 = g - 0*b for g. 2 Let k = -338 + 341. Let w(s) = -s**3 + 2*s**2 + 6*s - 6. Let u be w(k). Solve 3*z + 2 = i + z, 5*i + u*z = 23 for i. 4 Let j(w) = w + 11. Let k(h) = -h**3 + 8*h**2 - 14*h + 9. Let f be k(5). Let s = f - 20. Let q be j(s). Solve -q*t + 25 = l, 2*t - 3 - 7 = -4*l for t. 5 Let i be (1 - -2) + 233 + -233. Solve -7*k + 12 = -i*k + 4*y, 4*k - 12 = 5*y for k. 3 Let w(t) be the third derivative of 13*t**4/12 - 33*t**3/2 + 223*t**2. Let a be w(4). Solve 2 = i + 2*r + 3, a*i + r = -23 for i. -5 Let o(g) = 130*g + 133. Let w be o(-1). Solve 5*k + 1 = 2*h + 6*k, 11 = h - w*k for h. 2 Suppose -177 = -2*p - 3*v, -4*v + 4 = -8. Suppose p = 3*z + 30. Solve 2*u + u = 3*i - z, i + 5*u = -12 for i. 3 Suppose -u + 2*p = -2*p - 10, 5*p = -5*u + 25. Let k be (-4)/(6/3)*-1. Suppose -19*v - 65 = -24*v. Solve v = 3*t + l, -u*l = 4*t - k*l - 28 for t. 3 Let d be ((-18)/(-54))/(3/1251). Let j = d + -136. Solve 21 - 2 = -c + j*v, -4*v = 5*c for c. -4 Suppose -89 - 51 = -15*b - 13*b. Solve -4*u + p = -19, b*p = -4*u + 19 + 6 for u. 5 Let x(q) = -14*q + 200. Let d be x(13). Suppose -d = -28*m + 19*m. Solve -30 = m*l - 7*l - 4*n, -l + 7 = n for l. 2 Suppose 2 = 9*u - 25. Suppose 2*w - 53*z + 11 = -50*z, 0 = u*z - 15. Solve w*r = p - 4*p - 4, -4*r = -2*p - 8 for r. 1 Suppose -6*u + 141 - 729 = 0. Let a = u + 98. Let g be (-4)/6 + 180/27. Solve a = -5*o + w - 22, w + g = -w for o. -5 Suppose -118 = -9*l + 44. Let j be 4/l - -1964*(-3)/27. Let h be j/(-11) + 6/33. Solve 0*m + 2*m = -2*v - 10, -5*m = 4*v + h for v. -5 Suppose -11*p + 319 = -308. Let a be (-6)/p - (-20)/(-38)*-4. Solve 12 = a*o - o - 2*q, 3*o - 5*q - 31 = 0 for o. 2 Let s be (-5 - -6)/((-2)/(-2)). Suppose -3*h - s - 17 = 0. Let a be (-9)/(-6)*(4/h - -2). Solve 4*t + 20 = -4*f, -f = -a*t + 6*t + 14 for f. -2 Let r be (3/4 - 7/28)*146. Let i = r + -68. Suppose 4*k = -n - 8, i*n + 0*k - 2*k = 26. Solve 2*m = n*y - 10, 5*m + 3 = 2*y - 6 for m. -1 Suppose -90*z + 186*z = 92*z + 16. Solve 2*q = -a + 7, 15*q - z = 19*q - 4*a for q. 2 Let u be -3 - (7 - (12 + -5)). Let w be u/(-7) + (-48)/112. Solve w = -2*b - 3*i + 12, -8 = 2*i - 6*i for b. 3 Suppose -18*a = -1447 + 403. Suppose -10*t + 8*t + a = 3*c, 0 = -c + 4*t - 4. Let z be 56/(c/4) + 18/6. Solve 0 = -4*l - 5*h + z, 6*l - l - 4*h + 30 = 0 for l. -2 Let h be (-1 - (-6 - 0))*2. Suppose 2*i = -3 - 3, 0 = -q + 5*i + 18. Suppose -5*x + h = -q*x. Solve -10 = -2*s + 3*m, s + 4*s + x*m = 0 for s. 2 Suppose 3*h = 6*h - 72. Suppose 6 = 15*j - h. Let g be 17/3 + 1/3. Solve 4*n + 5*q + 10 + g = 0, -4*n - 16 = -j*q for n. -4 Let j(r) = 241*r + 1693. Let w be j(-7). Solve -3*b - 18 = -3*u, -w = 4*b + 10 for u. 2 Let m(k) = -k**3 - 21*k**2 - 17*k - 8. Let a be m(-19). Let x be (a/(-55) - 9)*(-10)/4. Solve -x*i + 16 = 0, -6 = z - i - i for z. 2 Suppose -l + 99 = 30. Suppose -8*h = -l + 5. Solve 0 = 3*p + h*c - 3*c - 7, 2*p - 9 = c for p. 4 Let c(k) = -k**3 + 3*k**2 + 5*k. Let w be c(0). Solve w = 132*o - 134*o + 3*x + 10, 4*o = -5*x - 24 for o. -1 Let b(h) = -h**3 - 7*h**2 + 18*h + 5. Let t be (-6)/4*-4*21/(-14). Let c be b(t). Solve 4*n = -i + 4*i + 1, c*n + 3*i = 35 for n. 4 Let u(s) = -4*s - 34. Let h(w) = -18*w - 168. Let d(b) = 3*h(b) - 14*u(b). Let a be d(16). Solve 0 = f - 5*n + 5, 0 = -0*f - 3*f + a*n - 4 for f. 0 Let k(g) = g**3 + 14*g**2 - 2*g - 22. Let n be k(-14). Let o be (-1)/(3/10*(-2)/n). Solve 0 = -5*w - z - 6, 3*z - o = -w - 0*z for w. -2 Suppose 51*w = -197 + 44. Let l be ((-3087)/28)/(-9) - w/(-12). Solve 3*h + 5*v - 22 = 0, 3*h + l = h + 2*v for h. -1 Suppose 0 = -12*p + p - 22. Let y be (0/((-28)/(-7)))/p. Solve 2*z + s = -y*z + 7, 13 = 4*z + 3*s for z. 4 Let p be 3 + 66/6 + 7. Solve c - 4*j - p = 0, -2*c + 0*c = j + 3 for c. 1 Suppose 36*u = 300 + 276. Let o(s) = -11*s + 189. Let m be o(u). Solve 4 = -4*d, -6*d - m = -3*z - 2*d for z. 3 Let p(h) = h**3 - 2*h**2 + h + 10. Let s be p(0). Let f = s + -5. Suppose -2*c = -13 + f. Solve -j + c = y - 5*j, y + 5*j = -5 for y. 0 Let s = 11 - 8. Suppose 1096*r - 1494 = 1013*r. Solve s*g = 5*p - 14, g + 4*p + 0*p = r for g. 2 Let x(f) = -98*f - 585. Let o be x(-6).
{ "pile_set_name": "DM Mathematics" }
digit of u? 3 Let y be -1 - -8 - (-7 + -2)/(-3). Suppose -y*d + 6*d = -5*b + 386, b = d + 73. What is the tens digit of b? 7 Let w(n) = -4*n**2 + n - 2*n**2 - 3 + n**2 + n**3. Let m be w(5). Suppose -6*q + m*q + 4 = 0. What is the units digit of q? 1 Suppose -11 = 3*l - 5*w, -l + 2*w - 1 = 4. Suppose -o = l*o. Suppose -2*t + 4*f = -22, 3 = t - o*f - 4*f. What is the tens digit of t? 1 Let i(l) = 16*l - 725. What is the tens digit of i(57)? 8 Let g(o) = -o**3 - 9*o**2 + o + 7. Let s be g(-9). Let v(z) = -28*z + 4. What is the tens digit of v(s)? 6 Suppose -239 = -x - d, -5*x + d + 273 + 904 = 0. Suppose -3*m + x = -m. What is the hundreds digit of m? 1 Suppose h = -100*y + 95*y + 16473, 4*y - 3*h - 13186 = 0. What is the thousands digit of y? 3 What is the hundreds digit of -148*(20/(-16) + (-9)/12)? 2 Suppose 270 = 4*i - 66. Suppose -q + i = 2*q. What is the tens digit of q? 2 Let b(l) = -l - 4. Let d be 152/(-16) - (-1)/2. Let f be b(d). What is the tens digit of f/((-10)/(-6)) + 28? 3 Suppose 2*b = u + 11, 2*b - 3*u - 6 = -5. Let i be 2/15 + b/(-60). What is the tens digit of (1 + 7)*(i + 4)? 3 Suppose -63*g = -114*g + 61302. What is the thousands digit of g? 1 Suppose 12 = 7*i - 72. Suppose 0 = 4*w + 4*l - i - 140, 3*w - 107 = 4*l. What is the tens digit of w? 3 What is the units digit of 2*((-1402)/(-4) - 0)? 1 Let m(q) = -q**2 + 3*q - 2. Let f be m(2). Suppose a = -f*a. What is the tens digit of (a - 44/(-12))*3? 1 What is the tens digit of (-9988)/(-22) + (10 - 1)? 6 Let q(v) = -v**3 - v**2 + 1. Let n be q(1). Let x be (8 - -1)*(-10)/2. Let c = n - x. What is the units digit of c? 4 Let z(b) = -b + 34. Let n be z(16). Suppose -2*o + 0*o - 17 = 5*c, -2*c = -2*o + n. What is the units digit of 8/12*150/o? 5 Let l(v) = -v**3 - 3*v**2 + 7*v - 9. Let o be l(-5). Suppose -o*n + 168 = -0*n. What is the tens digit of n? 2 Let f = 595 - 425. What is the tens digit of f? 7 Let r(f) = -f**3 + f - 2. Let t be r(-2). Suppose t*a = 3*a + 31. What is the units digit of a? 1 Let b be (-26)/(-9) - (-4)/36. Suppose b*v - h + 5*h - 592 = 0, 3*v = -3*h + 597. What is the units digit of v? 4 Let s(a) = -a**3 - 3*a**2 - 3*a - 3. Let i be s(-3). Let u(z) = -3*z**3 + 10*z**2 + 22*z + 2. Let t be u(-2). Let r = t - i. What is the units digit of r? 6 Suppose 19*h - 8551 = 2*h. What is the tens digit of h? 0 Let a(u) = u**3 - 5*u - 2. Let c be a(0). Let n = -1 - -5. Let z = n + c. What is the units digit of z? 2 Suppose 3*d - 1382 + 254 = 0. What is the hundreds digit of d? 3 Suppose -5*y + 45 = -10. Let a = y - 6. Suppose 0 = -4*d - 4*x + 176, -9 = a*d + 4*x - 226. What is the units digit of d? 1 Suppose 10*a - 2*l = 5*a + 1100, 2*l = -5*a + 1100. What is the hundreds digit of a? 2 Let s = 744 - 272. Suppose -2*l + s = -66. What is the hundreds digit of l? 2 Suppose 4*g = -f - 15, 3*f = g - 1 - 44. Let s = 45 + f. What is the tens digit of s? 3 Suppose 15*p = -11*p + 16276. What is the tens digit of p? 2 Suppose 5*j - 287 = -w + 1295, -305 = -j - 4*w. What is the hundreds digit of j? 3 Suppose 9 = x + 5. Suppose 8 = 2*b, -2*b + x*b = j - 13. What is the tens digit of j? 2 Suppose -13 = -b + v, b + 3*v - 105 = -4*b. Suppose 8*s = 11*s - b. What is the units digit of s/2 - 2 - -23? 4 Suppose -2*s + 1786 = m, -4*s + 7616 - 452 = 4*m. What is the hundreds digit of m? 7 Let s(x) = 4*x**2 + 6*x + 3. Suppose 11*c + 8 = 9*c. Let g be s(c). Let y = g + -21. What is the units digit of y? 2 Let m = -1 - -13. Let c be ((-66)/(-9))/(2/m). Suppose -t = t - c. What is the tens digit of t? 2 Let r = 19 + -11. What is the units digit of 3/(12/r) - -19? 1 Let b = -125 + -85. What is the tens digit of (b/25)/(129/(-60) - -2)? 5 Let h(v) = v**3 + 2*v**2 - 2*v. Let k be h(-4). Let q be ((-14)/(-8))/(-7) - 1585/(-20). Let c = q + k. What is the units digit of c? 5 Let b be 66 + 1*(-3 - -7). Suppose -b = v - 160. What is the tens digit of v? 9 Let u(x) = 2*x**2 + 12*x + 7. What is the units digit of u(11)? 1 Suppose q + 80 = 5*t + 6*q, 21 = t - 4*q. Suppose 0 = -5*c + 104 - 34. Suppose t*o - 102 = c*o. What is the units digit of o? 4 Suppose -8 = 9*j + 10. What is the units digit of 1404/39*(j/(-4) + 0)? 8 Suppose -4*y = -3*q + 4, 5*q + 5 = 25. What is the tens digit of (-4)/8 + ((-293)/(-2) - y)? 4 Let y = -4200 + 6155. What is the hundreds digit of y? 9 Let m be (-13)/4 - (-6)/(-8). Let b be (7 + -5)*(-2 - -1). What is the tens digit of b/m - (-25)/2? 1 Let r be 0/(2/(-1))*-1. Let f be r/3 - (7 + 2). Let j = 37 + f. What is the tens digit of j? 2 Suppose 2*v - 48 = -v. Let j = v - -34. Let s = j + 12. What is the units digit of s? 2 What is the units digit of 6/8*(-4 - -2 - -70)? 1 What is the units digit of -4*(-5)/20 + -1 + 500? 0 Let m(o) = -o**3 + 9*o**2 - 4*o - 19. Let n = -10 - -18. What is the units digit of m(n)? 3 Let q = 90 - 31. Let y be (-15)/(-20) + q/(-4). What is the units digit of (12/y)/(5/(-140))? 4 Suppose -133 = -8*f + 1827. What is the units digit of f? 5 Let q be ((-36)/90)/(2/(-20)). Suppose -20 = -q*v + 4. Suppose v*g + 0*g = 96. What is the units digit of g? 6 Let m(b) = 23*b**3 + b**2 - b + 1. Let g = 35 - 34. Let u be m(g). What is the tens digit of (-114)/4*u/(-18)? 3 Let d be ((-20)/(-170) + (-10083)/17)/1. Let j = -375 - d. What is the hundreds digit of j? 2 Suppose 1660 = n + 4*n. Suppose 9*t = 7*t + n. What is the units digit of t? 6 Suppose -2*l - 2*t = -38 + 176, 142 = -2*l + 2*t. Let s be (7 - 3) + -3 + l. What is the units digit of 2/4 + s/(-2)? 5 Let k = 2393 + -1043. What is the tens digit of k? 5 Let c be (-1)/3 - (-4)/(24/98). Suppose -c*y = -18*y + 200. What is the hundreds digit of y? 1 Suppose 29*k - 670 = 24*k. Let q = 193 - k. What is the tens digit of q? 5 Let u(f) = f**2 - 13*f + 14. Let m be u(12). Suppose 3 = -m*k + 17. Suppose -3*z - k*r = -2*r - 213, -3*z + 3*r + 237 = 0. What is the units digit of z? 6 Suppose -3*z + 80 = 5*n, -n + 122 = 4*z - 2*n. What is the tens digit of ((-12)/5)/((-6)/z)? 1 Let x(r) = -12*r + 35. Let c(n) = -3*n + 9. Let d be 4*2*(-3)/12. Let w(z) = d*x(z) + 9*c(z). What is the tens digit of w(-13)? 5 Let s(b) = -b**3 - 17*b**2 - 16*b + 71. What is the units digit of s(-21)? 1 Suppose -12*t + 10*t + 1062 = 0. What is the units digit of t? 1 Suppose -1497 = -h - 5*d, -5*h = -2*d + d - 7615. What is the hundreds digit of h? 5 Suppose -77 = -16*u + 35. What is the units digit of u? 7 Let b(l) = 6*l**2 + 2*l + 2. Let s be b(-4). Suppose 48 = -14*m + 26*m. Suppose -m*h = -5*y + s + 224, 0 = y + 2*h - 74. What is the tens digit of y? 6 Suppose 2*o + 182 = 2*q, 0*o = -2*o + 10. Suppose 4*p - q = 200. What is the units digit of p? 4 Let r be (-3 - -20)/(2/152). Let m = -917 + r. Suppose 0 = 7*q - 2*q - m. What is the tens digit of q? 7 Suppose -3*z + 5*d + 32 = 0, -4*z + d + 8 = 3*d. Suppose -127 + 31 = z*k. Let h = 0 - k. What is the tens digit of h? 2 Suppose 0 = -5*m + 39 + 26. Let r = -8 + m. What is the tens digit of (-7 + r)/((-2)/18)? 1 What is the hundreds digit of 4 + 348 + 4/4? 3 Let o(m) = 67*m + 44. What is the thousands digit of o(19)? 1 Let d(b) = b**2 - 14*b + 4. Let a be d(18). Let f = 174 - a. What is the units digit of f? 8 Suppose 0 = -4*f + 2*f - 16. Suppose 5*h - 138 = -3. Let r = f + h. What is the units digit of r? 9 Let p(a) = -a**3 - 7*a**2 - 3*a + 4. Let z be p(-5). Let j = z - -36. Suppose -60 = -2*u - 5*m, 0 = -8*u + 3*u - j*m + 165. What is the units digit of u? 5 Suppose -2*k + k - 60 = 0. Let h be (-38)/(-8) - 15/k. Suppose h*u - 4*z - 228 = 0, -u + 27 + 9 = -4*z. What is the units digit of u? 8 Suppose -3*l + d + 2664 = -1148, -l + d + 1274 = 0. What is the units digit of l? 9 Let g = 14344 + -9133. What is the units digit of g? 1 Let b(q) = -8*q + 12. Let x(m) = -7*m + 11. Let o(y) = -3*b(y) + 4*x(y). What is the tens digit of o(-6)? 3 Suppose -23*c = -62011 - 963. What is the hundreds digit of c? 7 Let v = -3 + 77. Suppose 60*u - 61*u = -v. What is the tens digit of u? 7 Let y be (-108)/(-26) + 8/(-52). Let u(z) = z**2 + z - 1. What is the units digit of u(y)? 9 Let i be -3 + 4/(-4)*3. What is the units digit of (-33)/i*(-1 + 7)? 3 Let z be 30/(-10) + (2 - 0) + 1. Suppose 0 = -3*u + 5*u - 5*l - 230, z = u + 2*l - 106. What is the hundreds digit of u? 1 Let l(i) = 5*i**2 + 7*i - 7.
{ "pile_set_name": "DM Mathematics" }
pose 2*h = -22*x + 27*x - 25, -4*x = -5*h - 20. Solve x*m - 2*s = s - i, 5*s = -2*m + 3 for m. -1 Let u = -568 + 596. Let g(x) = x**2 + 5*x + 6. Let q be g(-5). Let o(a) = a**3 - 6*a**2 + 4. Let v be o(q). Solve 5*y + i = -28, -4*y - v*i - u - 4 = 0 for y. -5 Let x = 23 + -20. Suppose 3*j - z - 8 = 0, -3*z - x = 3. Suppose 5*t + j*k - 28 = 6*k, t + 2*k = 0. Solve 2*m = t*a - 20, 3*a - 2 = 4*m + 18 for m. -2 Let t be 2/(-5) + (-54)/(-10). Let l = t + -13. Let y(k) = -k**2 - 9*k - 5. Let j be y(l). Solve -b = 2*b, 3*g + j*b = 6 for g. 2 Let i be -14*(-3 - 9/(-2)). Let v be 7/i + (-13)/(-3). Solve -2*h = v*p, 4*p - h - h = 16 for p. 2 Suppose 3*j = -2*j + 20. Suppose 0 = 5*w - j*p - 59, w - 35 = -5*p. Let r be ((-25)/w)/(1/(-3)). Solve -x - 11 = -r*i - 3, 5*x = 4*i - 19 for i. 1 Let u = 1028 - 572. Let n be u/9 - 6/(-18). Let c be 1/(-4) - n/(-12). Solve -c*k - 32 = -3*w, -2*k - 5*w - 2 = -3*w for k. -5 Suppose -131 = 5*i - 391. Suppose 4*a = -4*j + i, -1 = -4*j + 3*j. Solve o - 5 = -4*p + a, 2*p - 3 = 5*o for o. 1 Let t = 162 + -95. Let k = t + -63. Solve 0 = -5*u + k*f + 4, -2*f + f - 4 = -2*u for u. 4 Suppose 0 = 3*o - 4*c - 48, -91*o + 90*o + 4*c = -8. Solve 0 = 3*q + 4*d + o, -5*d - 21 - 4 = -5*q for q. 0 Let r(l) = -l**3 + 5*l**2 - 4*l. Let m(u) = -u**3 + 4*u**2 + 7*u - 7. Let o be m(5). Let x be r(o). Solve 2*h = -s + x, h = s - 0*h for s. 2 Let o(j) = -6*j - 3. Let f be o(-1). Let y(i) = 3*i - 9. Let s be y(f). Solve 3*w - 2*w + 5 = -2*x, s = x - 5*w + 8 for x. -3 Let i = -309 - -311. Let n = 32 + -23. Suppose 9 = 4*k + p, -4*p + 0 - n = k. Solve 3 = 5*a - i*h, k = -h - 1 for a. -1 Suppose 132*h - 134*h - 14 = -w, 3 = -h. Solve 5*j = -3*u - 31, w*j + 18 = u + 4*j for u. -2 Let d(o) = -119*o - 829. Let w be d(-7). Solve -w*r + 16 = -5*j, -2*r + 2 = -6 for j. 0 Suppose -k - 4*i - 24 = 0, -8*k = -5*k + 5*i + 72. Let m be k/60*(1 + -11). Solve 2*s + 2 = 0, 2*q - 3*q + 7 = -m*s for q. 3 Suppose 5*x - n - 6 = 0, -4*x + 5*n - 3*n = 0. Suppose -9 = 4*t - 13. Let i = x - t. Solve y - s - i = -0, 3*s = 5*y + 3 for y. -3 Suppose -11*k + 14 = 2*h - 14*k, h + 2 = -3*k. Solve -3*d = -h*c, d + 5 = 3*c - 0*d for c. 3 Suppose -2*c + 0*r = -r - 109, 0 = -2*c - 5*r + 127. Suppose 10 = -2*l + c. Solve -3*v = 3*z + 15, -3*v = -8*v - 4*z - l for v. -3 Let b = -31 + 34. Suppose 4*l = -b*l. Solve -4*d - k - 2 - 11 = l, -1 = -2*d + k for d. -2 Suppose -3*c + 4*k = -5*c - 16, -c - 18 = 4*k. Suppose -5*m + c = -8. Solve -4*g = 4*q - 20, -3*g - m*q + 10 = 2*g for g. 0 Suppose 3*f - 2*j = -221, -3*f + 5*j = -2*f + 65. Let g = f + 80. Solve g*m + 2*b - 3 = 0, 2*m + 4*b = m - 3 for m. 1 Suppose -h = 4*h - 10. Let k = 64 + -62. Let m = 7 - 3. Solve 2*i + 4*l = i + 13, -h*i + k = -m*l for i. 5 Suppose -144 = -6*d + 72. Let k = d - 32. Suppose 0 - 10 = -5*v. Solve 2*h - 1 = 3*c + v, -k = -3*h + 4*c for h. 0 Let c be (3/(-5))/((-10)/50). Let q be (-25)/((4 - c)*-1). Suppose 5*v = -3*z + q, -v = -5*z + v + 21. Solve 3*o - 2*o - 1 = -3*m, z*m = 3*o - 3 for m. 0 Let o be -2 - (8 + -4 - 10). Solve -5*b - 2*h = 9, -o*b + 5*h = -0*h - 6 for b. -1 Suppose 87 = -n + 45. Let p = n - -42. Solve p = -5*q, 3*q = -3*f - 0*q for f. 0 Suppose -2*m = -154 + 134. Solve 2*t - 3*o = 23, -3*t - o = -m + 3 for t. 4 Let b(y) = y**3 + 12*y**2 + 13*y + 27. Let r be b(-11). Solve 3*p - 10 = -r*g, 7*p = 4*p for g. 2 Suppose 40 = -5*o + 3*l, 3*o + 4*l + 20 = -4. Let c be 1/2 + ((-60)/o - 4). Solve -4*p - 22 = c*u - 3*u, 3*p = 5*u - 5 for p. -5 Suppose c + 17 = -25. Let f = c + 63. Solve 12 = -4*h, 2*t - 5*t = 5*h + f for t. -2 Let o be 5/25 - 171/5. Let i = o - -39. Solve 0 = -i*h + 5*k - 25, 4*h + 2*k + 2 = -0*k for h. -2 Let c be (0 - (1 - 1))/2. Suppose c*x - 4*x = y + 10, -5*y + 60 = -2*x. Let h = 0 + y. Solve 4*b - h = -2*d, 0 = 5*d - 0*b + 3*b + 3 for d. -3 Suppose -30*f = -18*f. Solve 5*d + 2 = -2*p, d + f = p + 1 for p. -1 Let g(z) be the third derivative of -z**4/24 + 5*z**3/6 + 6*z**2. Let o be g(2). Solve -r + 3*r + 25 = -o*x, -45 = 4*r + 5*x for r. -5 Let n be (-6)/21 - (-60)/14. Let w be -1*((-24)/15)/((-10)/(-25)). Let c = 1 - 1. Solve c = p - h - w + 2, -p + 2*h = -n for p. 0 Suppose 31 = 2*k + 5*m, -2*k - m = 2*m - 21. Let t be (1/(-2))/(1/16). Let z be 0/(5/(20/t)). Solve 4*b + b - 2*g + 8 = z, -3*b - k = -3*g for b. -2 Suppose 0 = -3*m + 6*m - 27. Let v = 3 + 0. Suppose -y + 0 + m = 2*i, -y = -i - v. Solve 3*a - 2*q = -i, -2 = 5*a - q + 13 for a. -4 Let o(s) = 4*s + 149. Let l be o(-36). Solve -2*f = -l*d - 13, 3*f = d + 19 - 6 for d. -1 Let n(q) = q**3 - 2*q**3 - 3*q**2 - 8*q**2 + q + 13. Let a be (363/44)/(33/(-44)). Let x be n(a). Solve 6*h = h + d - x, 6 = 2*h + 3*d for h. 0 Let l(r) = -r**2 - 45*r - 81. Let p be l(-43). Solve -3*k + 5*d = d + 14, -p*d + 4 = 3*k for k. -2 Let j(y) = y**3 - 4*y**2 + 4*y. Let q be j(4). Let b = -14 + q. Solve t + 1 = -2*g, -b*t = t - g - 4 for t. 1 Suppose 3*c = -4*o + 31, -23 = -2*c - c - 2*o. Let k be (0/(c - 2))/3. Solve k = -2*s - 5*z - 11, -z - z = -5*s - 13 for s. -3 Let t(v) = v + 7. Let y be t(-4). Suppose 3*z + 0*i - 12 = y*i, i = -4. Solve -2*b + 3*s = -s - 2, z = -4*b + 4*s - 8 for b. -5 Let y = -1254 - -1257. Solve -5*j + 2*c = -17, 3*j + y*c - 46 + 19 = 0 for j. 5 Let c = 15 + -33. Suppose 0*q + 50 = -4*q + 5*o, 2*o - 56 = 4*q. Let u = q - c. Solve 4*r + u*p + 15 = -12, 4*r + 2*p + 22 = 0 for r. -3 Let j(b) be the second derivative of -b**5/20 - b**4/2 - b**3/2 - 15*b**2/2 + 11*b. Let d be j(-6). Solve 2*x + 16 = -5*n, -4*x - 3*n - 21 + d = 0 for x. -3 Suppose -73 = -3*u + 11. Let h = -72 - -62. Let d = h + u. Solve -d = 5*i - 2*w, -2*i - i + 2*w - 14 = 0 for i. -2 Let a(q) = -q + 30. Let t = 36 - 19. Let j be a(t). Solve 4*g + j = -5*n, -3*n + 1 = -2*g - 0*n for g. -2 Let d be 47/9 - 38/171. Suppose -n - 3*s = -11, 0 = d*n - 0*s + 3*s - 43. Solve -4*j = -5*w + 17, 2*j + n + 0 = 2*w for j. -3 Let u(q) = -10*q - 1. Let i be (1/(-2))/(5/(-70)). Let h = -8 + i. Let f be u(h). Solve f + 3 = -5*v + 2*r, 1 = r for v. -2 Suppose 2*h = -3*x + 2*x + 12, 4*h - 16 = 0. Suppose -u = x - 7. Solve -u*j = -f - 6 + 1, 0 = 2*f - 8 for j. 3 Let y be ((-6)/(-4))/((-3)/12). Let j be (-40)/y + (-7)/(-21). Solve -4*r = 3*m + 5, 10*r + j = 5*r - 4*m for r. 1 Let o(r) = -r**3 - r**2 - 4. Let j be o(-2). Solve -4*p + h + 12 = 0, j = 5*p - 3*h - 4 - 4 for p. 4 Let l = -6 - -8. Suppose -2*o + 1 = z - 7, -5*o + l*z = -11. Suppose -2*b - a = -9, -o*b + 4*a = -7*b + 28. Solve -5*t - 2*v = 12, -b*v = -5*t - 0*v - 8 for t. -2 Let h = -46 + 54. Let y = 0 + 3. Suppose y*f = f + h. Solve 2*r = 2*a - f, 2*a = -3*r + r + 4 for a. 2 Suppose -6*g + 84 = -2*g. Let z be 4/10 + g/35. Let m be ((-213)/(-9) - -2) + (-4)/6. Solve -3*l - m = 4*x, -2*x = -6*l + 3*l - z for x. -4 Let c(n) = -n**3 + 29*n**2 - 26*n - 41. Let l be c(28). Solve 3*q = -9, 8*q + l = -t + 3*q for t. 0 Let d be (-114)/(-15) + (-15)/25. Solve -3*v + q = d, -4*q = -5*v + 8*v + 32 for v. -4 Suppose 0 = -7*p + 5 + 2. Suppose -d + p = -6. Solve -2*n + d*n = -3*g - 3, 0 = 5*n - 5*g - 5 for n. 0 Let d(i) = 3*i**2 + 16*i + 15. Let v be d(-7). Let p = -45 + v. Solve -3*n = n, 5*n + 10 = -p*s for s. -2 Suppose 9*v - 128 = 5*v. Let w be ((-15)/12)/((-4)/v). Solve -w = -d + 5*d + 2*g, 0 = 5*d - g - 5 for d. 0 Suppose 6*h + 50 = h. Let b be (-36)/h - 2/(-5). Solve 2*j + 18 = b*o + 2, 0 = -4*j + o - 4 for j. 0 Let u(q) be the second derivative of -2*q**3/3 - q**2/2 - 13*q. Let h be u(-1). Solve 4*p + h*o + 3 = 2*p, -3*p - 3*o = 0 for p. 3 Let s = 7 + 17. Suppose 8*w - s + 8 = 0. Solve -o - 4 = -w*c - 17, -5*c - 28 = -o for o. 3 Let m = -802 - -810. Solve 10 = 5*w - o, 4*w + 2*o = o + m for w. 2 Let g = 233 + -228. Solve -l = -j + 3*j + 5, 0 = 4*l - g*j - 19 for l. 1 Suppose -5*d = -10 - 10, -5*r - d - 16 = 0. Let s be 1132/60 - r/30. Suppose 3*w - s = -4. Solve -5*f - 4*q - 6 = -w*q, 14 = -f - 3*q for f. -2 Let k = 153 - 151. Solve -5*r - k*b + 4 = -3, r - b = 0 for r. 1 Suppose -110*a + 103*a + 28 = 0. Solve -32 = 3*r + b - 13, -36 = a*r + 4*b for r. -5 Suppose -5*z - 8 = -3, -x = -4*z - 7. Suppose 4*d - 5*y + 2*y = 19, -3*y - 13 = 2*d. Let u = d + x. Solve 12 = -u*l + 4*h, 7*l - 2*l + 2*h - 13 = 0 for l. 1 Suppose -3*c = -7*m + 2*m + 55, -5*m = c - 35. Suppose s - 60 = -5*b, 5*s = -4*b + 2 + 25. Let j = b - m. S
{ "pile_set_name": "DM Mathematics" }
v(3) a prime number? False Suppose -4*s + 753 = -26843. Is s prime? True Let y = -7616 + 13645. Is y a prime number? True Suppose 4*v - 44043 = -5*n, 2*n - 2*v = 3*n - 8811. Is n composite? False Suppose 0 = -7*s - s + 42088. Is s composite? False Suppose b = -4*n + 14267, -b + 0*b = 5*n - 17833. Is n composite? True Let o = -1219 + 4370. Is o prime? False Suppose -4*b + b + 27 = 0. Let u be (b*(-3)/(-9))/1. Is 6/4*314/u a composite number? False Let l = -28 - -36. Suppose 2*g - 5*w + 33 = 0, 2*g - l = -3*w - 1. Is ((-62)/g)/(14/28) a prime number? True Let n(l) = -43*l - 4. Let x be n(5). Let c = x + 316. Is c composite? False Suppose -3*h = -h - 582. Let d = -160 - -302. Let l = h - d. Is l composite? False Let q(z) = -2*z. Let n be q(-1). Suppose -4*r - 14 = -h, -3*h + 6 = -n*r - 6. Suppose 0 = h*m - 152 - 146. Is m a composite number? False Suppose 695 = 2*w - 567. Is w prime? True Suppose 2*q - 24 + 20 = 0. Suppose 0 = -n + 3*c + 632, q - 1 = c. Is n prime? False Suppose 3*r = 3*s - 2700, r = -s + 6*r + 888. Suppose 0 = 2*p - p + s. Let y = -625 - p. Is y a composite number? True Suppose -3*a = -2*v + 7*v - 20317, -2*a = -2*v - 13566. Is a composite? False Let b = 11181 - 7192. Is b prime? True Is -11157*((-35)/(-21))/(-5) prime? True Let a = -508 + 284. Let k = a - -426. Is k a composite number? True Suppose 10*s + 97 = -2*r + 7*s, 3 = -3*s. Let i be (70 - -1)/1 + 1. Let n = i + r. Is n a composite number? True Suppose -126*o = -119*o - 13069. Is o prime? True Suppose 0 = 2*s - 6*s + 24. Suppose s*r - 8966 = 2392. Is r prime? False Let o be 50/(-15)*3/(-2). Suppose -g + o*g = 0. Suppose g = -s + 2*s - 721. Is s composite? True Let v(i) = i**3 + 4*i**2 + 3*i - 3. Let d be v(-3). Let q = 0 - d. Suppose q*g + 2*s - 889 = 7*s, -5*s - 303 = -g. Is g a composite number? False Let b be (-25)/(-2)*12/30. Suppose -4*o + h + 374 = 0, 8*h = -o + b*h + 100. Is o prime? False Suppose 0 = -3*t - 3*x + 1509 + 8616, -6756 = -2*t + x. Is t a composite number? True Suppose -5*n = -25 + 10. Let v(l) = -l**2 + 4 + 0 - 3 - 2*l - 2*l**2 - 27*l**n. Is v(-2) prime? False Let k(n) = n**3 + 7*n**2 + 6*n + 3. Let h be k(-6). Suppose d - h*d = 0. Suppose d = 5*a - 167 - 3. Is a prime? False Let i be 2/3 - 28/(-12). Let z be 1/3*(-3 + i). Suppose -2*m - y + 212 = 0, z = -3*m + y + 159 + 159. Is m a composite number? True Suppose -4*o = -2*r + 46, -4*r - 74 = 5*o + 16. Let f = o + 18. Suppose -f*c = 3*s - 2708, 2*s - 38 = -c + 639. Is c a composite number? False Suppose 4*b - 12 = 4*k, k - 3*b - 3 + 12 = 0. Suppose k = 58*j - 57*j - 115. Is j a prime number? False Let m(b) = -497*b - 8. Let n be m(-3). Suppose -3*s - n = -2*v, 3*s = 3 - 0. Is v composite? False Is (8 + -9)*(-17339 + (-1 - -1)) prime? False Let q(n) = 323*n**2 - 4*n - 6. Is q(-2) a composite number? True Let b(j) = j**2 - 2*j + 9. Let h be b(6). Let r = h - 24. Let v(t) = t + 12. Is v(r) a composite number? True Let q(h) = 2*h**2 + 5*h + 1. Let s be q(2). Is (-12)/8*-2*s a composite number? True Let v be 0/(-2)*2/(-6). Let n(w) = 3*w + w**3 - 5 - 2 + v*w + 3 - 7*w**2. Is n(9) composite? True Let c be ((-4)/1 - (1 + -8))*6. Suppose 1595 = 23*s - c*s. Is s prime? False Suppose -w + 2*w = 2*s - 513, 0 = -w + 5*s - 528. Let i = 296 - w. Is i composite? True Let m(z) = -125*z**3 + 4*z**2 + 2*z + 4. Is m(-3) composite? True Is (-82234)/((-7 + 6)*2) prime? True Let m(g) = 63*g**2 - 2*g + 3. Let q be m(4). Let i = q - 449. Is i a prime number? False Suppose 281*o - 279*o = 7226. Is o a prime number? True Let f(z) = -z**3 - z**2 - 4*z + 7. Suppose -o - 5 = -6*o. Let m be o/(2 - (-39)/(-18)). Is f(m) composite? False Let j(u) be the second derivative of 47*u**4/6 + 3*u**2/2 + u. Let q(l) = -7*l - 33. Let r be q(-5). Is j(r) a prime number? True Suppose 0 = -3*j + 6 - 87. Let v = 715 + j. Suppose v = 2*x + 174. Is x prime? True Let x be 10/(-6)*18/(-10). Suppose 0 = 3*c - x*h - 1044, 5*c - 2*h + 0*h = 1737. Is c a composite number? False Suppose 109*o - 110*o = -758. Is o/(-4)*(-3 - 11) a composite number? True Let j = 67 - 28. Let g = 18 - 13. Suppose -g*c + j + 131 = 0. Is c a composite number? True Let m = 12291 - -298. Is m a composite number? False Suppose -24*j = 4*j - 54908. Is j a prime number? False Suppose 81076 = 4*s + z + 3*z, 2*z = 3*s - 60817. Suppose 0 = -2*d + w + s, 2*d - w - 2*w - 20281 = 0. Is d composite? False Let f(v) be the third derivative of 0*v + 0 - v**2 + 1/15*v**5 + 5/3*v**3 - 3/8*v**4. Is f(7) a composite number? True Let q = 8056 + -5627. Is q a composite number? True Let a(p) = -p**2 + 8*p + 11. Let i be a(10). Suppose 0 = 3*t - 0*b - 3*b - 33, -b = 2*t - 16. Is (-2)/t - 1001/i a composite number? True Suppose 0 = -343*u + 394*u - 19431. Is u composite? True Suppose 32*d + 56 = 39*d. Is ((-2)/d)/(1*1/(-1172)) a prime number? True Let t(r) = -r**3 + 12*r**2 + 6*r + 5. Let y be (18/(-27))/((-2)/18). Is t(y) composite? False Suppose t + 957852 = 3*h, -h - 23*t = -26*t - 319276. Is h a composite number? True Suppose 3*l - 1641 = 3*n + n, -2*l - n = -1105. Suppose -83 = 2*q - l. Suppose -5*o - 3*c + 236 = 0, -5*o - 2*c = -0*o - q. Is o prime? False Let d(x) = x**2 + 4*x + 5. Let i be d(-3). Suppose -2*l + 0*b + 2338 = 5*b, 0 = i*b - 8. Suppose 0 = -3*h - 4*p + l, -h = 2*h + 5*p - 1154. Is h composite? True Suppose 0 = 3*f - 0*f + 4*l + 14464, f + 3*l = -4823. Let q be 8/(-28) + f/(-14). Suppose -q = -w + 65. Is w composite? False Suppose -5*n - 16728 = n. Let p = 5241 + n. Is p a prime number? False Let w(y) = y + 15. Let k be w(-12). Suppose -4*s = -3*f + 2169, -2196 = -k*f - 0*s - 5*s. Suppose 4*t - f = 3*r, 4*r = -3*t - 0*t + 539. Is t composite? False Suppose 13*n = 12*n + 9. Let z(t) = 7*t - 1. Is z(n) prime? False Let c(w) = 1761*w - 12. Is c(9) a prime number? False Let l(z) be the second derivative of 5*z**4/4 + z**3/3 - z**2 - 15*z. Is l(-3) composite? False Is 4/44 - (596505/(-33) - 3) a prime number? False Suppose -2*q - 28 + 8 = 0. Let u(d) = d**3 + 10*d**2 - d - 5. Let l be u(q). Suppose l*f - 262 = -x - 2*x, 0 = -2*x - 4*f + 178. Is x a composite number? False Let q be 16656/9 + 3/9. Suppose -10*a + q = -179. Is a composite? True Let w = -2482 + 1671. Let m = w + 1289. Is m prime? False Let s(j) = 65*j**3 + 3*j**2 - 2*j + 2. Let q be s(-3). Suppose 187*f + 5022 = 185*f. Let c = q - f. Is c prime? False Let b be (16/12)/(2/6). Let u(a) = -a**2 + 5*a + 3. Let t be u(b). Let z(y) = 8*y**2 - 14*y - 7. Is z(t) prime? False Suppose 0 = -5*i - 0*i + 3915. Let n = i + 2. Is n a composite number? True Let y(z) = -5*z**2 + 2*z - 162. Let o(u) = 2*u**2 - u + 54. Let n(q) = 8*o(q) + 3*y(q). Let w be n(0). Let m = w + 181. Is m composite? False Let f(l) = l**2 + 4*l + 1. Let r be 12/28 + 174/(-14). Is f(r) a prime number? True Let b(x) = -3406137*x**3 + 14993*x**2 - 14993*x. Let t(q) = 1363*q**3 - 6*q**2 + 6*q. Let i(w) = -6*b(w) - 14993*t(w). Is i(1) a prime number? False Let x(n) = n + 13. Let o be x(-6). Suppose -o*v - 5*c + 430 = -2*v, -3*v + 5*c = -250. Let u = v - -402. Is u a composite number? False Let g = 5583 + -2785. Is g a composite number? True Let x be ((-8)/(-6))/((-6)/225). Let t be 18/6 + -3 + 3. Let v = t - x. Is v a prime number? True Suppose -13*q + 6*q = -2632. Suppose q + 238 = 2*c. Is c prime? True Suppose 27*s - 22*s + 3565 = 0. Let k = s - -1864. Is k composite? False Let x = 441 - 2183. Let q = -933 - x. Is q composite? False Suppose -6*k = -5*k - 3. Suppose -4*p = v - 239, -458 - 207 = -k*v + p. Is v a composite number? False Suppose 4*s = -3*f - 17414 + 63087, -4*s - 8 = 0. Is f a prime number? True Let q = -377 + 700. Suppose n = q + 8. Is n a composite number? False Let c = 714 + 31. Is c a composite number? True Let n(j) be the first derivative of -25*j**4/8 + 7*j**3/6 + 3*j**2 - 14. Let l(x) be the second derivative of n(x). Is l(-6) a prime number? True Suppose 3*m + 3*h - 1476 = 4*h, 3*m = 4*h + 1467. Is m a composite number? True Suppose -3*s - 4*k = s - 6164, -3*s + 4*k = -4637. Is s composite? False Let u(n) = 2*n**3 + 7*n**2 + 5*n + 5. Let f be (-130)/18 + (-10)/(-45). Let w be u(f). Is (w/(-2))/(1/2) a prime number? True Let z(n) be the second derivative of -n**4/12 + 5*n**3/6 + 355*n**2/2 + 16*n. Is z(0) a composite number? True Let b be (-
{ "pile_set_name": "DM Mathematics" }
before 7:33 AM? 7:50 PM How many minutes are there between 12:03 PM and 9:33 PM? 570 What is 255 minutes before 10:54 PM? 6:39 PM How many minutes are there between 9:14 AM and 6:44 PM? 570 How many minutes are there between 5:01 AM and 5:21 AM? 20 What is 48 minutes before 4:06 AM? 3:18 AM How many minutes are there between 1:42 PM and 7:55 PM? 373 What is 429 minutes before 7:23 PM? 12:14 PM How many minutes are there between 1:02 AM and 12:14 PM? 672 How many minutes are there between 10:50 PM and 3:27 AM? 277 How many minutes are there between 7:13 AM and 10:08 AM? 175 What is 250 minutes before 12:18 AM? 8:08 PM What is 445 minutes after 4:10 AM? 11:35 AM What is 715 minutes after 5:43 PM? 5:38 AM What is 54 minutes after 11:20 PM? 12:14 AM What is 705 minutes after 4:51 PM? 4:36 AM How many minutes are there between 8:21 AM and 7:00 PM? 639 How many minutes are there between 2:54 PM and 1:57 AM? 663 How many minutes are there between 1:52 PM and 12:28 AM? 636 What is 568 minutes before 2:53 PM? 5:25 AM What is 641 minutes after 6:48 AM? 5:29 PM What is 246 minutes after 9:59 PM? 2:05 AM What is 266 minutes after 6:12 AM? 10:38 AM What is 710 minutes after 4:52 AM? 4:42 PM What is 160 minutes after 7:29 AM? 10:09 AM How many minutes are there between 7:08 AM and 2:56 PM? 468 How many minutes are there between 11:33 AM and 10:09 PM? 636 What is 181 minutes before 5:35 PM? 2:34 PM What is 231 minutes after 10:18 AM? 2:09 PM What is 405 minutes before 9:11 PM? 2:26 PM What is 236 minutes before 4:43 PM? 12:47 PM What is 628 minutes after 2:08 PM? 12:36 AM How many minutes are there between 1:26 AM and 2:25 AM? 59 How many minutes are there between 7:07 PM and 1:41 AM? 394 How many minutes are there between 1:55 PM and 7:13 PM? 318 How many minutes are there between 5:30 PM and 4:22 AM? 652 What is 624 minutes before 9:51 AM? 11:27 PM What is 576 minutes before 11:07 PM? 1:31 PM How many minutes are there between 3:50 AM and 9:31 AM? 341 What is 315 minutes before 1:44 PM? 8:29 AM What is 127 minutes before 6:45 PM? 4:38 PM How many minutes are there between 12:42 AM and 12:56 AM? 14 What is 685 minutes after 2:26 AM? 1:51 PM What is 270 minutes before 12:13 AM? 7:43 PM How many minutes are there between 1:20 PM and 7:13 PM? 353 What is 406 minutes before 12:08 AM? 5:22 PM How many minutes are there between 1:44 PM and 2:04 PM? 20 What is 682 minutes after 11:20 PM? 10:42 AM How many minutes are there between 7:47 AM and 9:37 AM? 110 How many minutes are there between 10:04 AM and 8:27 PM? 623 What is 50 minutes after 6:13 PM? 7:03 PM How many minutes are there between 12:32 PM and 6:00 PM? 328 How many minutes are there between 4:20 AM and 2:31 PM? 611 What is 50 minutes before 3:39 PM? 2:49 PM What is 432 minutes before 2:14 AM? 7:02 PM How many minutes are there between 11:22 AM and 3:56 PM? 274 How many minutes are there between 10:12 AM and 9:17 PM? 665 What is 424 minutes before 12:11 AM? 5:07 PM What is 386 minutes before 8:13 AM? 1:47 AM How many minutes are there between 2:25 PM and 2:07 AM? 702 How many minutes are there between 7:00 AM and 11:04 AM? 244 How many minutes are there between 7:41 PM and 8:34 PM? 53 How many minutes are there between 5:14 PM and 5:03 AM? 709 What is 535 minutes after 5:59 PM? 2:54 AM What is 543 minutes after 10:51 PM? 7:54 AM How many minutes are there between 9:04 PM and 8:06 AM? 662 What is 374 minutes before 5:31 AM? 11:17 PM What is 255 minutes after 2:33 AM? 6:48 AM What is 599 minutes after 4:15 PM? 2:14 AM How many minutes are there between 3:23 AM and 5:07 AM? 104 How many minutes are there between 6:47 AM and 4:57 PM? 610 How many minutes are there between 8:17 AM and 9:49 AM? 92 How many minutes are there between 2:47 PM and 12:42 AM? 595 How many minutes are there between 3:15 PM and 6:21 PM? 186 How many minutes are there between 3:49 PM and 2:30 AM? 641 How many minutes are there between 11:11 PM and 9:35 AM? 624 How many minutes are there between 3:35 AM and 5:25 AM? 110 How many minutes are there between 5:42 PM and 8:35 PM? 173 How many minutes are there between 2:12 PM and 8:38 PM? 386 What is 277 minutes before 11:22 AM? 6:45 AM How many minutes are there between 3:06 AM and 9:45 AM? 399 How many minutes are there between 7:33 AM and 4:51 PM? 558 How many minutes are there between 7:23 PM and 7:18 AM? 715 What is 249 minutes after 12:01 PM? 4:10 PM How many minutes are there between 11:42 PM and 10:10 AM? 628 What is 172 minutes before 11:44 PM? 8:52 PM How many minutes are there between 2:50 PM and 12:39 AM? 589 How many minutes are there between 5:56 PM and 3:40 AM? 584 What is 404 minutes after 2:55 PM? 9:39 PM How many minutes are there between 2:00 PM and 6:46 PM? 286 What is 453 minutes before 8:55 PM? 1:22 PM What is 582 minutes before 10:48 PM? 1:06 PM How many minutes are there between 7:56 PM and 4:09 AM? 493 How many minutes are there between 8:14 PM and 10:38 PM? 144 How many minutes are there between 9:49 PM and 9:36 AM? 707 How many minutes are there between 5:09 PM and 10:02 PM? 293 How many minutes are there between 5:15 AM and 4:37 PM? 682 What is 52 minutes after 10:30 PM? 11:22 PM How many minutes are there between 9:40 PM and 8:50 AM? 670 What is 688 minutes after 5:52 AM? 5:20 PM What is 332 minutes after 8:55 AM? 2:27 PM How many minutes are there between 9:29 PM and 11:37 PM? 128 What is 33 minutes after 6:01 AM? 6:34 AM What is 457 minutes before 10:37 AM? 3:00 AM How many minutes are there between 4:41 PM and 9:36 PM? 295 How many minutes are there between 9:21 PM and 9:11 AM? 710 How many minutes are there between 11:50 PM and 7:02 AM? 432 What is 414 minutes before 9:24 AM? 2:30 AM How many minutes are there between 8:51 AM and 4:17 PM? 446 What is 277 minutes before 1:04 PM? 8:27 AM How many minutes are there between 1:06 PM and 10:34 PM? 568 What is 504 minutes before 12:29 AM? 4:05 PM How many minutes are there between 2:14 PM and 4:24 PM? 130 What is 595 minutes before 4:48 AM? 6:53 PM What is 595 minutes before 7:26 AM? 9:31 PM What is 528 minutes before 5:02 PM? 8:14 AM What is 354 minutes after 6:55 AM? 12:49 PM How many minutes are there between 12:13 AM and 12:53 AM? 40 How many minutes are there between 12:02 PM and 11:22 PM? 680 What is 236 minutes after 7:00 PM? 10:56 PM How many minutes are there between 2:05 PM and 12:44 AM? 639 How many minutes are there between 3:52 PM and 8:48 PM? 296 How many minutes are there between 5:59 PM and 12:13 AM? 374 How many minutes are there between 4:19 PM and 3:29 AM? 670 How many minutes are there between 8:26 PM and 7:58 AM? 692 How many minutes are there between 1:59 AM and 2:08 AM? 9 What is 51 minutes after 10:50 PM? 11:41 PM How many minutes are there between 4:04 PM and 6:40 PM? 156 How many minutes are there between 1:48 AM and 8:13 AM? 385 What is 685 minutes after 4:44 PM? 4:09 AM What is 317 minutes before 8:37 PM? 3:20 PM How many minutes are there between 6:36 AM and 6:03 PM? 687 How many minutes are there between 9:35 AM and 10:13 AM? 38 How many minutes are there between 3:14 PM and 11:22 PM? 488 How many minutes are there between 5:51 AM and 5:22 PM? 691 What is 514 minutes before 9:53 PM? 1:19 PM What is 360 minutes before 10:00 AM? 4:00 AM How many minutes are there between 6:58 PM and 1:12 AM? 374 How many minutes are there between 5:26 PM and 9:41 PM? 255 How many minutes are there between 4:49 AM and 11:37 AM? 408 How many minutes are there between 7:39 PM and 9:42 PM? 123 How many minutes are there between 9:41 AM and 6:06 PM? 505 How many minutes are there between 1:20 PM and 3:49 PM? 149 What is 373 minutes before 12:13 PM? 6:00 AM How many minutes are there between 11:45 PM and 7:45 AM? 480 What is 584 minutes after 3:03 AM? 12:47 PM What is 691 minutes after 1:30 PM? 1:01 AM What is 458 minutes after 7:57 AM? 3:35 PM What is 332 minutes before 7:06 PM? 1:34 PM How many minutes are there between 4:12 AM and 3:49 PM? 697 What is 492 minutes after 10:04 AM? 6:16 PM What is 662 minutes after 6:23 AM? 5:25 PM What is 209 minutes after 7:39 PM? 11:08 PM What is 655 minutes before 4:45 AM? 5:50 PM How many minutes are there between 4:21 PM and 4:03 AM? 702 How many minutes are there be
{ "pile_set_name": "DM Mathematics" }
b) -3 (c) -7 (d) -2 (e) -0.9 e Which is the fifth smallest value? (a) -4 (b) 2.9 (c) -2/15 (d) -0.5 (e) 2/23 b What is the smallest value in -3, -0.1, 3, -163? -163 What is the third biggest value in -0.4, -1/4, 0.4, -2/7, 55/13, -0.2? -0.2 Which is the fourth smallest value? (a) -7.11 (b) 9 (c) -3 (d) -5 b What is the second biggest value in -3, -0.02, 6, 2? 2 What is the second smallest value in 1/9, -1/4, -2/41, 0.1, 2/21, 77? -2/41 What is the fourth smallest value in 0.05, -29, 4/3, -3? 4/3 What is the biggest value in -0.061, -0.25, -6? -0.061 What is the third smallest value in -5, -0.5, -0.251, 0.4, 2? -0.251 Which is the smallest value? (a) -1 (b) -21 (c) -0.1 (d) 2/47 (e) 6 b What is the fifth smallest value in 1.5, 0, 3, -1/3, -87? 3 What is the biggest value in 6, -0.04, -4, -14, -3? 6 What is the third biggest value in -0.1, -25, 3, -3? -3 What is the smallest value in 0, -2/1913, -0.014? -0.014 What is the third smallest value in 0.2, -4/3, 1102, -2, 4, 1? 0.2 What is the fourth biggest value in 4/9, 3, 4, -72? -72 Which is the third smallest value? (a) 3 (b) 0.1 (c) 0.3 (d) -0.10287 c Which is the third smallest value? (a) -3 (b) 29 (c) 1/8 (d) 2/9 (e) 8/5 (f) -1/2 c Which is the second biggest value? (a) -3 (b) 2/5 (c) -0.1 (d) -2/3 (e) 1.9 b What is the third biggest value in -0.652, 0, -8? -8 Which is the sixth biggest value? (a) 0.2 (b) -5 (c) 7.7 (d) 5 (e) 93 (f) 1/4 b Which is the fourth biggest value? (a) -2/15 (b) 61 (c) -1/2 (d) 1 (e) 9 a Which is the smallest value? (a) 1 (b) 0 (c) -0.39199 c Which is the smallest value? (a) 8/15 (b) -2 (c) 315 b What is the third biggest value in -1.3, -3, 113, -0.03, -4? -1.3 What is the sixth biggest value in 1/5, -44, 0.4, -1, -4, 0.01? -44 Which is the second biggest value? (a) 0.326 (b) -5/6 (c) -1 (d) 4/9 a Which is the biggest value? (a) -2/5 (b) 0.3 (c) 0.5 (d) -37 (e) 4/7 e What is the biggest value in 3, -785, -450? 3 What is the smallest value in -7/278, 2/3, -34? -34 Which is the smallest value? (a) -158 (b) -1/5 (c) 104 a What is the third smallest value in -39, -0.1, 1011/4, -3, -3/2? -3/2 Which is the third smallest value? (a) -0.023 (b) 2/5 (c) 0.453 c Which is the biggest value? (a) -0.1 (b) 0.5 (c) 3 (d) -2 (e) 3/5 c What is the second smallest value in 0.3, -11/1020, -0.5? -11/1020 What is the third biggest value in 0.04, 178/11, -0.2, -0.1, -3/8? -0.1 Which is the third smallest value? (a) -7884 (b) 5 (c) 16/9 b What is the smallest value in 177, -1/13, -19.3? -19.3 What is the fifth biggest value in -55, 0.4, 0, 2/13, 13, -431? -55 What is the biggest value in -0.2, -7, -14456, -3/8? -0.2 What is the fifth smallest value in 903, 0.18, -1/8, 5, -2? 903 What is the smallest value in 0, 1, 2/47023? 0 Which is the second biggest value? (a) -0.05 (b) -2/13 (c) 16.43 (d) 0.5 d What is the third smallest value in -0.2, 26, -1, 22? 22 What is the second smallest value in 2/457, 13, -10, 0.5? 2/457 Which is the fifth smallest value? (a) -0.4 (b) -292 (c) 3 (d) 0 (e) 1/3 c What is the second smallest value in -1/3, 22, 7, 3, -132/7, 0.2? -1/3 Which is the biggest value? (a) 2/9 (b) -1.426 (c) -0.047 a What is the third biggest value in -0.1157, 2, 5/2, -2? -0.1157 Which is the third biggest value? (a) 21 (b) 11.5 (c) -0.11 c Which is the second biggest value? (a) -5.1 (b) -5 (c) -48/323 b What is the biggest value in 0.3, -2/17447, 2/13? 0.3 What is the second biggest value in 3/5, 1/9, 0, -0.3, -271, 11? 3/5 Which is the second smallest value? (a) -1 (b) -10.7 (c) 72/17 a What is the third biggest value in -2, -20, 0.6, -1/2, -2/9? -1/2 What is the second smallest value in 33/5, 0, 1438, 3? 3 What is the biggest value in 2, 10/11, 2/23, 19? 19 Which is the fourth smallest value? (a) 0.5 (b) -0.2 (c) 682 (d) -2 (e) 356 e Which is the second biggest value? (a) -48 (b) 0.0245 (c) -5 (d) -0.3 (e) 3 b Which is the fifth smallest value? (a) -3 (b) -0.3 (c) -5 (d) -13 (e) -4/9 (f) 1 b What is the third biggest value in -7, -5/2, 3/109, 2? -5/2 What is the third biggest value in -20, 12, 32, -3, 0.1, 3? 3 Which is the fifth biggest value? (a) -12 (b) -0.2 (c) -5 (d) -32 (e) 8 d Which is the third biggest value? (a) 0.2 (b) 3223 (c) 2/945 (d) -0.5 c Which is the biggest value? (a) -18 (b) -0.3 (c) -0.23 (d) 46 (e) -0.09 d Which is the fourth biggest value? (a) 2/19 (b) -3/2 (c) -2 (d) -3/11 (e) -0.1 (f) -3.5 b What is the sixth biggest value in 0.3, -4, -171, -13, 3, -1? -171 Which is the biggest value? (a) -7/16 (b) 4 (c) -686 (d) 0 b Which is the biggest value? (a) -0.25 (b) 1.7 (c) -39/16 b What is the third biggest value in -0.05, 0.04, -780? -780 Which is the fourth biggest value? (a) 3 (b) -3 (c) 0.4 (d) 5 (e) 2.8 c Which is the second biggest value? (a) -2/3 (b) 2415/2 (c) -0.3 c Which is the second smallest value? (a) -0.6 (b) 8008 (c) 2 c Which is the fifth biggest value? (a) -0.5 (b) 82 (c) -5 (d) 0.0498 (e) -4 c What is the third biggest value in -2.09, -2/3, -0.06? -2.09 Which is the biggest value? (a) 4/7 (b) -13.4 (c) -1.1 (d) 0.1 (e) 1 (f) -0.1 e Which is the second biggest value? (a) 0.07 (b) 108 (c) -4.9 a Which is the third biggest value? (a) -15 (b) 1 (c) 0.033 (d) -4 (e) 1/6 c What is the third biggest value in 4, -0.05, 2, 0.058648? 0.058648 Which is the fourth smallest value? (a) 1/11 (b) 3/4 (c) 4/17 (d) 734 d What is the fourth biggest value in -8, -0.1, 8, -5/4? -8 Which is the biggest value? (a) 5/1903 (b) -2/5 (c) -1 (d) 0.2 d Which is the fourth biggest value? (a) -94 (b) 1 (c) 4 (d) 10.35 (e) -1/8 e What is the third biggest value in 6, -1, 1/2, 3, 0, 2.1? 2.1 What is the fifth smallest value in 0.2, 0.5, -30, -5, -3107? 0.5 What is the third biggest value in 7/9, -0.5, -0.4, -0.8, 0.1? -0.4 Which is the second biggest value? (a) 5 (b) -0.1 (c) 52 (d) -4.66 a Which is the third smallest value? (a) 0.96 (b) 3/7 (c) -3/407 (d) 3/2 (e) -4 b Which is the fourth smallest value? (a) -5 (b) -2/19 (c) -4 (d) -33/16 b Which is the second biggest value? (a) 0.1 (b) -1/6 (c) 5 (d) -0.1 (e) -3 (f) -1.33 a What is the second smallest value in -59/21, -3/4, 7/3, -0.2, 2? -3/4 What is the third smallest value in 0.3, 2/17, 1.9, -6? 0.3 What is the smallest value in 74, 4, -0.5, 153? -0.5 Which is the second smallest value? (a) 657/4 (b) 5 (c) 1762 (d) -1 b What is the fourth biggest value in -0.02, -29, -12, 1? -29 Which is the second biggest value? (a) 2/9 (b) 4 (c) -2 (d) -0.49 a What is the third smallest value in -3, -6670, -1, 1/2, -7/8? -1 What is the third smallest value in -0.7, 16, -1/4, 17, 3/7? 3/7 What is the fourth biggest value in 0.16, 1, 4, -1/10, -0.8? -1/10 What is the second smallest value in -0.5, 9, -6, 1/252? -0.5 What is the fourth biggest value in -2/293, 3/11, -2, 7? -2 What is the third smallest value in -0.2, 6, -3/7, -0.12, 0, -20? -0.2 Which is the second smallest value? (a) 4 (b) 25 (c) -1054 a What is the second biggest value in 0.5, -0.024, -0.4, -0.3, -0.083? -0.024 What is the third biggest value in 112, 4, -2, 0.14, 1? 1 Which is the third biggest value? (a) 93 (b) -9 (c) 1/15 (d) 4 c What is the third smallest value in 25, -1.1, 15, 0.2? 15 Which is the fifth biggest value? (a) 2/19 (b) 0 (c) -4/7 (d) 125 (e) -2/7 (f) 4 e What is the biggest value in -5, 0.6, 2.2, 2190? 2190 What is the fourth biggest value in -19, -0.5, 6, 0.03? -19 What is the third biggest value in -5, 30.7, 2/11, 1/8? 1/8 What is the fifth smallest value in 0.3, 1/10, -1, 39, 2, 4? 4 Which is the second biggest value? (a) -2/13 (b) -476 (c) 3/8 (d) -2/93 d What is the fourth smallest value in -5, -4/5, 0.2, 256, 93? 93 What is the third biggest value in -129, -10, -0.017? -129 What is the third smallest value in -2/3, -0.04, -2/55, 2? -2/55 Which is the biggest value? (a) 35 (b) 0.5 (c) -5 (d) 0.007 a Which is the third smallest value? (a) 5 (b) -266.23 (c) -2/11 a What is the third smallest value in -2.5, 2/187, -0.73? 2/187 What is the third biggest value in 11, -3, 0.18, 24, 0.1? 0.18 Which is the third biggest value? (a) 28 (
{ "pile_set_name": "DM Mathematics" }
culate d(a). -7 Let g = -22 - 1. Let v = g + 11. Let h be (-39)/v - (-2)/(-8). Let z(o) = o**3 - 3*o**2 - 3*o + 2. Calculate z(h). -7 Let k(s) = -2*s**3 - 7*s**2 - 3*s + 2. Let j(r) = r**3 + 4*r**2 + 2*r - 1. Let o(h) = 5*j(h) + 3*k(h). Let u = -53 + 52. Determine o(u). 0 Let h(w) be the first derivative of -w**4/4 + 7*w**3/3 - 10*w + 11. What is h(7)? -10 Let t(a) = a**3 + 6*a**2 + 2*a + 6. Suppose 0 = -q - 5*u - 37, -2*u + 5*u + 27 = -q. Let z = 6 + q. Give t(z). -6 Let s(w) = w**3 - 2*w**2 - 2*w. Suppose 2*y - 6 = -0*y. Determine s(y). 3 Let h(w) = w**3 + 8*w**2 + w + 3. Suppose 3*c - 2*j - j = -27, -2*c - 20 = -4*j. Let d be h(c). Let x(t) = -t**2 - 4*t + 2. Give x(d). -3 Let c(h) = h**2 - 6*h - 6. Suppose 2*m + m = 18. Let u be c(m). Let y be 1/(-2) - 3/u. Let d(j) = j - 5. What is d(y)? -5 Let u = 12 - 14. Let b(d) = 3*d - 2. What is b(u)? -8 Let j = -4 - -8. Suppose 0*d + j*d + 11 = -5*h, -3*h - 4*d = 5. Let s(v) = 4 - 3 - v**2 - 6*v - 3. Give s(h). 7 Suppose -4*o + 28 + 9 = 5*s, -5*o + 40 = 5*s. Let p(t) = -3 + 1 + 2*t**2 + t**3 + 2*t - 5*t**2. Determine p(o). 4 Let p be (-2)/3*(-2)/4. Let j(q) be the first derivative of 1 + q + p*q**3 + 2*q**2. Calculate j(-3). -2 Suppose 0 = 2*i + 3*r + 3, 1 + 2 = -3*i - 4*r. Let s(o) = 4 + i*o - o**3 + 2*o**3 + o**3 - 3*o**3 + o**2. Determine s(3). -5 Let g(j) = j**2 - 4*j. Let s = 60 + -56. Give g(s). 0 Let u(l) = 9*l + 6*l**2 + 2 + 2*l - 6*l + l**3. What is u(-5)? 2 Let x(v) = v**2 - 5*v + 4. Let t be 0 + 8 + 6/(-2). Suppose 0 = a + 2*y - 10, -t*y + 7 = -2*a - 0*y. Calculate x(a). 0 Let p be (3/(-9))/((-2)/12). Suppose 4*s + 0*s + k = p, 0 = -4*s - 3*k - 2. Let f(t) = -5*t**2 + 6 - 3*t - t**3 - 4 - s. Calculate f(-4). -3 Let c(b) = -4*b**2 + b. Let f(l) be the second derivative of l**3/6 + l**2 - 3*l. Let n be f(-1). Calculate c(n). -3 Let h(f) = 4*f + 1. Let p(j) = -6*j - 1. Let d(q) = -5*h(q) - 4*p(q). Determine d(2). 7 Let d be 36/15*(-25)/(-2). Let g be ((-24)/(-30))/((-4)/d). Let i(f) = -f - 7. Determine i(g). -1 Let i(g) be the third derivative of -g**5/12 - g**4/24 - g**3/6 + 5*g**2. What is i(-2)? -19 Let r(m) = -m**2 - 3*m - 3. Suppose k - 2*u - 4 + 0 = 0, -4*u = -k + 4. Suppose -q - 3*h = -3, 0*h = -2*q + k*h - 14. Let j = -1 + q. Give r(j). -7 Let l(h) = -7*h - 1. Let c(f) = -f + 3. Let a be c(0). Suppose a*y = -0*y - 3. What is l(y)? 6 Let n be (-15)/30*(-12 + 0). Let m(f) = -f**2 + 7*f + 4. Give m(n). 10 Let o(i) be the second derivative of -i**4/12 + 4*i**3/3 - 33*i. Give o(7). 7 Let z(u) = 3*u + 1. Let o = 7 + -7. Suppose 5*w - 8 - 2 = o. Suppose t - w*t - 3*s = -4, 3*t + 2*s = -2. What is z(t)? -5 Let p = 5/232 + 3/29. Let u(y) be the third derivative of -p*y**4 + 1/6*y**3 + 1/60*y**5 + 0 + y**2 + 0*y. What is u(3)? 1 Let h(r) = r - 2. Let u be (-1 - 0)/(5 - 4). Let l(q) = -5*q - 1. Let i be l(u). Calculate h(i). 2 Let p(l) be the second derivative of 0 + 1/6*l**3 - l**2 - l. Determine p(4). 2 Let o(m) be the first derivative of -5 - m**2 + 0*m + 1/3*m**3. What is o(4)? 8 Let h = 19 + -15. Suppose -4*j = x - 6, 3*j - 13 = -6*x + x. Let c(g) = 0 - 4 + 6 - x*g. Determine c(h). -6 Let g = 7 - 6. Let y(z) = -8*z**2 + 1. Calculate y(g). -7 Let k be (1 + -1)/(6 + -8). Let v(g) be the third derivative of g**6/120 - g**5/60 - g**4/24 + g**3/3 + g**2. Determine v(k). 2 Let g(d) = -d**3 - d**2 - d - 3. Let b(h) = h - 4. Let r = 4 + -3. Let t be (0 - -1)*(r + 3). Let m be b(t). Calculate g(m). -3 Let f(l) = 6*l - 40. Let p be f(7). Let i(w) = -2*w**2 - 3*w - 5. Let b(q) = 5*q**2 + 7*q + 11. Let a(m) = 3*b(m) + 7*i(m). Determine a(p). 2 Let v(n) = -n**2 - 4*n + 2. Suppose 2*x - x - 17 = 5*u, 21 = -3*u - 3*x. What is v(u)? 2 Suppose -v = 4 + 4. Let j = v + 5. Let l = -4 - j. Let b(i) = -11*i**3 - 2*i**2 - i. Give b(l). 10 Let z be 8/28 - (-40)/7. Let m(k) = k**2 - 8*k + 7. Calculate m(z). -5 Let l be (-4)/(3 + -3 + 2). Let o be (4/l)/(-4)*-6. Let b(s) = -s**3 - s**2 + 3*s - 4. Determine b(o). 5 Let i(s) = 2*s + 2*s**2 - 2*s - 2 - s**2 + s. Suppose 2*z = -3*n + 1, 4*z - n + 0 = -19. Give i(z). 10 Let d(g) = -g + 679 + 3*g - 673. Calculate d(-6). -6 Let t = -251 + 248. Let y(j) = -4 + 0 + 1 + 4*j + j**2. What is y(t)? -6 Let m be (2/6)/(1/9). Suppose m*v - 5*g + 5 = 17, 4*v = -g + 16. Let x(z) = z. Let a(i) = i + 7. Let u(p) = a(p) - 2*x(p). Give u(v). 3 Let q(j) be the third derivative of -j**6/120 + j**5/12 - j**4/6 + 2*j**3/3 + 5*j**2. Let a(o) = o**3 - 7*o**2 + 7*o - 2. Let f be a(6). Determine q(f). 4 Let a(k) = k - 1. Suppose -4*i - 19 - 5 = 0. What is a(i)? -7 Let q(n) = -n**3 + 2*n. Suppose -5*u - 4*g + 5*g - 9 = 0, 5*u - 4*g + 6 = 0. Calculate q(u). 4 Let n(l) = -l**2 + 5*l - 7. Let g be n(3). Let s(d) = -6*d + 1. Calculate s(g). 7 Suppose 3*p = 2*p + 2. Let y(l) = -3*l**2 - 3*l - l**3 - 2*l**p + l - 3. Let t(m) = 3*m - 2. Let o be t(-1). Give y(o). 7 Let s(f) be the first derivative of -f**7/840 - f**6/90 + f**5/40 + f**4/24 + 4*f**3/3 - 4. Let c(g) be the third derivative of s(g). Calculate c(-4). -11 Let p(z) = -z - 5. Suppose 2*x + 2*x - 3*u + 16 = 0, -3*x - 13 = -2*u. Calculate p(x). 2 Let n(g) = 7*g + 18 - 7*g**2 + g**3 - 12 - 10. Determine n(4). -24 Let f(d) = 2*d**2 - 12*d + 12. Let u(i) = -i**2 + 5*i - 5. Let z(c) = 5*f(c) + 12*u(c). What is z(1)? -2 Let p(v) = -4*v**3 + v**2. Let b be p(-1). Let g = 6 + -3. Let t(q) = 5 - 3*q + 0*q**g - 6*q**2 + 3*q**3 + 6*q - 2*q**3. Give t(b). -5 Let v(f) be the first derivative of -f**4 - 7*f - 2. Let h(k) = -k**3 - k**2 - k - 1. Let w(o) = -3*h(o) + v(o). Determine w(3). 5 Suppose -m = -o - 3, 0 = -2*o + o - 3. Let c(i) be the first derivative of i**2/2 + 7*i + 1. What is c(m)? 7 Let q = -21 + 22. Let x(g) = -3*g - 1. What is x(q)? -4 Let r(t) = 3*t - t**3 + 0 - 6*t**2 - 2*t + 2. Suppose 3*h + 3 = -3. Let u be 1/h - (-22)/(-4). What is r(u)? -4 Suppose n + 4 = 2*i, -2*n = 2*i - n - 4. Let w(m) = -m**3 + 2*m + 5*m**2 - 2 + 0*m**3 + 0*m**i. Give w(5). 8 Suppose 0 = -0*d - 2*d. Let c be 0 - ((-8)/(-4) - d). Let r(i) be the third derivative of -i**5/60 + i**4/24 - i**2. Calculate r(c). -6 Let l(x) = x**3 + 1. Suppose 5*r + 7 = -2*f, 8*r - 4*r + f = -5. Give l(r). 0 Suppose 1 = 4*s - 11. Let k(v) = -s*v - v**3 + v + 1 + 3*v - v**2 + 0*v. Suppose 2*g = -3*g - 5. What is k(g)? 0 Let f(w) = 8*w + w + 8*w + w**2 - 20*w. Calculate f(5). 10 Let l(i) = i**2 - i**2 - 2*i**2 + 4 - 5*i. Let z(c) = 15*c - 64. Let h be z(4). What is l(h)? -8 Let u(d) be the second derivative of -d**6/720 - d**5/120 - d**4/4 - 2*d. Let h(c) be the third derivative of u(c). Let b = -2 - -4. What is h(b)? -3 Let n(a) be the third derivative of a**6/720 + a**5/60 - a**4/24 - 2*a**2. Let u(f) be the second derivative of n(f). Let y be (1 + 2)/((-12)/8). What is u(y)? 0 Let b(r) = -r**2 + 5*r - 4. Let u be (4/(-6))/(4/12). Let s be (2/u + 0)*-10. Let n = -5 + s. Give b(n). -4 Let f(p) = 0*p**3 + p + p**3 + 0*p**3 + p**2 - 1. Suppose 10 = -k - 2. Let v be (8/(-6))/((-8)/k). Calculate f(v). -7 Let y be (-2)/(-7) + (-4)/14. Suppose y = -5*m + 7 + 8. Let n(k) = 2*k - 1 - 3*k**2 + k**m - 4*k + 3. Determine n(3). -4 Let p(s) = 5*s + 0*s + 1 - 6*s + 2*s - 6*s. Let x(n) = -n**2 + 4*n + 1. Let q be x(4). Determine p(q). -4 Let y(v) = 2*v**2 + 1. Let r(a) = a - 3. Let m be r(2). Let l be y(m). Let n(u) = u**3 - 5*u**2 + 3*u + 2. Give n(l). -7 Let x(u) = -11*u**3 + u**2 + u + 10. Let q(f) = 5*f**3 - f - 5. Let d(s) = 9*q(s) + 4*x(s). What is d(-5)? -5 Let m(k) be the second derivative of k**6/120 - k**5/20 - k**4/4 + k**3/6 - k**2/2 - 2*k. Let h(v) be the first derivative of m(v). What is h(4)? -7 Let d(z) be the second derivative of -z**3/6 + 7*z**2 - 8*z. Give d(6). 8 Let u(x) = x**2 + 5*x. Let n be u(-5). Suppose -1 = -5*j + 9. Let v(p) = -p**j + 4 + 5*p - 5*p. Calculate v(n). 4 Let r(p) = -p + 2. Let h(b) = b - 1. Let q(w) = -7*h(w) - 6*r(w). Give q(-6). 1 Suppose 4*t - 18 = -2. Suppose 3 = -c + t. Let l(f) = -9*f**2 - f - 2. Let z(k) = k**2 + 1. Let j(a) = -l(a) - 3*z(a). Calculate j(c). 6 Let f(m) be the first derivative of m**4/4 - 4*m**3/3 - m**2/2 - 4*m + 1. Let l = 5 + -1. Determine f(l). -8 Let z(u) = 5*u**2 + 3*u + 1. Let c = 183 - 185. What is z(c)? 15 Let z(i) = 2*i**2 + 3*i - 2. Let a be (-4)/8 + (-5)/(-2). Give z(a). 12 Suppose 17 - 2 = -5*d. Let x be 3 - 1 - 0/d. Let w
{ "pile_set_name": "DM Mathematics" }
n*q - 1493*n*z**3 - 507*q*z**3 wrt z? -18*n**2 - 8958*n - 3042*q What is the second derivative of -64042858*v**3 - 292285*v - 101 wrt v? -384257148*v What is the second derivative of -6907*f*v*x**2 + 4904192*f*v + 1802*f*x**2 - 2*f*x + x wrt x? -13814*f*v + 3604*f What is the second derivative of 131229437*r**2*s**2 + 8929*r**2*s + 2*s - 1576 wrt s? 262458874*r**2 What is the second derivative of -572460514*a**3 + 508202322*a wrt a? -3434763084*a What is the derivative of -8*d**2*p**2 - 32486498*d*h*p + 5190*h*p + h + 99*p**2 + 7 wrt d? -16*d*p**2 - 32486498*h*p What is the first derivative of -13*r**3*u - 3*r**3 - 679*r**2*u - 14245*r**2 + 2*r + 2*u + 139 wrt u? -13*r**3 - 679*r**2 + 2 What is the third derivative of 968500420*x**6 - 650816620*x**2? 116220050400*x**3 What is the third derivative of 107750048*b**3 - 2*b**2 - 2450*b + 15169 wrt b? 646500288 What is the second derivative of -25040053*v**2 - 26*v - 12066 wrt v? -50080106 What is the first derivative of -36772*l**4 - 3*l**2 + 1185*l + 571642148? -147088*l**3 - 6*l + 1185 Find the first derivative of -112690733*x**3 - 81817552 wrt x. -338072199*x**2 Find the third derivative of -2579*q**2*u**3 + 119*q**2*u - q**2 + 381*q*u**3 + 35*q*u**2 + 50*q + 3*u**3 wrt u. -15474*q**2 + 2286*q + 18 What is the second derivative of -97*q**5 - 61936*q**2 - 51896*q - 253 wrt q? -1940*q**3 - 123872 Differentiate -356049*i**3*m**3 + 4044*i**3 + 3*i**2 + 2*i - 12*m**3 - 24 wrt m. -1068147*i**3*m**2 - 36*m**2 Find the second derivative of -c**4 - 15181514*c**3*p**3 + 59*c*p**3 + 17*c*p**2 - 752*p**3 - 1 wrt c. -12*c**2 - 91089084*c*p**3 Find the second derivative of -64*q**3*z**2 - 28712*q**3*z - 32*q**3 + 9*q**2*z + 1450126*z**2 wrt z. -128*q**3 + 2900252 Find the first derivative of t**2 + 172137*t - 3749215 wrt t. 2*t + 172137 What is the third derivative of 2*n*y**4 - 3534274*n*y**3 - 1625*n*y**2 - n*y - 9*n + 3*y + 5 wrt y? 48*n*y - 21205644*n Find the second derivative of -2224*r**4 + 193*r**2 + 15855*r + 58. -26688*r**2 + 386 Find the first derivative of 7*b**3*g + 25134*b**3 - 50*b**2*g - 16*b*g + 628*b - 445*g wrt g. 7*b**3 - 50*b**2 - 16*b - 445 Find the third derivative of 15*c**4 + 408580*c**3*t - 17*c**2*t + 7*c**2 + 6*c*t + 2*c + 11*t - 3 wrt c. 360*c + 2451480*t Find the third derivative of k**5 - 3*k**4 + 147873*k**3 - 13868*k**2 - 5*k - 18. 60*k**2 - 72*k + 887238 What is the third derivative of 2*k**5 - 7394*k**4 - 6*k**3 - 235596*k**2 + 2*k - 1? 120*k**2 - 177456*k - 36 Differentiate 46*b*d*z**3 - b*d*z + 8*b*d - 78393*b*z + 12*b - 33536*d with respect to z. 138*b*d*z**2 - b*d - 78393*b What is the third derivative of 12071013*z**4 + 266686*z**2 - 2 wrt z? 289704312*z What is the first derivative of 19453*h**3 - 414*h**2 - h - 259556751 wrt h? 58359*h**2 - 828*h - 1 What is the third derivative of -39249581*g**5 - 24*g**2 + 2*g - 1521650 wrt g? -2354974860*g**2 What is the second derivative of -45515781*b**2*p + 251810*b - 9*p wrt b? -91031562*p What is the second derivative of 22299853*b**4*j**2*y + 2*b*j**2*y + 1322*b*j**2 + 2*b*j - 310*b*y wrt b? 267598236*b**2*j**2*y What is the third derivative of -5201850*u**3 - 33221192*u**2 wrt u? -31211100 Find the third derivative of -12810879*t**6 + 870*t**2 - 110*t + 5. -1537305480*t**3 What is the third derivative of 28433748*j**3*o**2 + 190*j**2*o**2 + 1231*j**2*o - j**2 - j wrt j? 170602488*o**2 Find the third derivative of -8*v**4 - 520592*v**3 + 8491999*v**2. -192*v - 3123552 What is the first derivative of 22228*h*q**3*v + 2*h*q*v + h + 17970006*q**3 - 2*v wrt h? 22228*q**3*v + 2*q*v + 1 What is the third derivative of 2*c**4 - 80265885*c**3*z**3 - 11578*c**2*z - 6*c**2 + 2*c*z**2 + 154*z**3 + z**2 wrt c? 48*c - 481595310*z**3 What is the derivative of -3670*d**2 - 5036*d + 79625725? -7340*d - 5036 Find the second derivative of 33*a*b*o**5 + a*b + 616*a - 3759071*b*o**4 + 5977*b*o wrt o. 660*a*b*o**3 - 45108852*b*o**2 Find the third derivative of 2164242*x**4 + 1241*x**2 - 2874*x. 51941808*x Differentiate 127279666*x**2 - 154920276 wrt x. 254559332*x Find the third derivative of 408556169*o**3 + 449*o**2 + 216828 wrt o. 2451337014 Find the second derivative of -8*j**5 + 2556547*j**4 + 71214902*j wrt j. -160*j**3 + 30678564*j**2 Differentiate 6847068*j + 5823686 wrt j. 6847068 What is the second derivative of 6681*f**3*y**2 - 148*f**3*y - 697*f**2*y + 9*f*y**2 - y**2 - 3*y wrt y? 13362*f**3 + 18*f - 2 Find the second derivative of 271345288*b*j**2*v**2 + 23*b*j*v**2 + 21*b + 3201*j + 52*v**2 wrt j. 542690576*b*v**2 Find the third derivative of 1329991*g**4*v - g**2 + 1539602*g*v wrt g. 31919784*g*v Find the first derivative of -28570445*j*o**3 + j*o**2 + 1931*o**3 - 10*o**2 + 3*o - 12 wrt j. -28570445*o**3 + o**2 What is the derivative of 153868221*o - 183858550? 153868221 What is the third derivative of -2*x*y**3 + 6*x*y**2 - 1938*x*y + x + 1118189*y**3 - y**2 - 2 wrt y? -12*x + 6709134 Find the third derivative of -6432113*d**3*p**4 + d**3*p - 13*d**2*p**4 + 24046*d**2*p**2 - 26*p wrt p. -154370712*d**3*p - 312*d**2*p What is the second derivative of 14*i**5 + 14179203*i**4 + i + 718015622? 280*i**3 + 170150436*i**2 Find the second derivative of 549142865*y**2 - 2*y + 115463580. 1098285730 What is the third derivative of -342928433*i**5 - 33*i**2 - 1318415*i wrt i? -20575705980*i**2 Find the second derivative of -17807189*x**2 + 40*x - 56512. -35614378 Find the third derivative of 1005901806*m**4 - 2130*m**2 + 5081*m + 1 wrt m. 24141643344*m What is the second derivative of -6087986*y**2 - 2*y - 2628488? -12175972 Find the second derivative of -796332629*w**4 + 333718055*w wrt w. -9555991548*w**2 Find the second derivative of 15574*b**3*y + 5134*b**2*y**3 + 2*b*y**3 - 107*b*y**2 + 49937*b - 2*y**3 + 1 wrt b. 93444*b*y + 10268*y**3 What is the third derivative of -44260*h**2*q**3*u**2 - 284*h**2*q**3 + 4*h**2*q**2 + 4*h**2*u + 2*h*q*u**2 + 60273*q**2*u + u**2 wrt q? -265560*h**2*u**2 - 1704*h**2 Find the first derivative of -55512502*g**3 + 18291150. -166537506*g**2 Differentiate -2*m**3*r**2 + m**3 - 1048*m**2 - m*r**2 + 6*m - 548039*r**2 - 159 with respect to r. -4*m**3*r - 2*m*r - 1096078*r Find the third derivative of 3*q**4 - 54562548*q**3 + 15*q**2 + q + 62257. 72*q - 327375288 Find the second derivative of 8283797*g**3 - g**2 + 41852280*g. 49702782*g - 2 Differentiate -286124*r**4 + 3*r**2 + 7*r + 5393288 with respect to r. -1144496*r**3 + 6*r + 7 Find the second derivative of 2*o**2*w*z - 865076*o**2*w - o**2*z - 19*o**2 - 8*o*w - 1764361*o - 6*w*z + 2*z wrt o. 4*w*z - 1730152*w - 2*z - 38 What is the third derivative of 23961214*v**3 - 402753*v**2 - 12 wrt v? 143767284 Find the first derivative of -f**3*l**3 + 8*f*l**3 - 309327*f - 62*l**3 - 302270 wrt f. -3*f**2*l**3 + 8*l**3 - 309327 Differentiate 38113249*n*z**3 + 8*z**3 - 118*z**2 - 2145*z + 2 wrt n. 38113249*z**3 What is the third derivative of -1058911300*k**6 - 442656*k**2 + 4*k - 1? -127069356000*k**3 Find the second derivative of 313700701*t**3 - 23*t - 1696224 wrt t. 1882204206*t What is the third derivative of -2236*l**5 - 2468*l**4 + 18312276*l**2? -134160*l**2 - 59232*l What is the second derivative of -4*v**3 - 2020105*v**2 + 5405568*v - 2? -24*v - 4040210 What is the third derivative of -108*t**6 - 2*t**4 - 10343*t**3 + 4895329*t**2 wrt t? -12960*t**3 - 48*t - 62058 Differentiate 5508590*j - 4175880 with respect to j. 5508590 Find the third derivative of 2*i**3*z**3 - 3*i**3*z - 22446*i**3 + 13*i**2*z**3 - 962*i*z**3 + z**3 - z**2 wrt z. 12*i**3 + 78*i**2 - 5772*i + 6 Find the second derivative of -470319333*o**2 + 629684571*o. -940638666 Find the first derivative of 137*q**3 + 6238*q + 662382366 wrt q. 411*q**2 + 6238 What is the second derivative of -1141*i*s**5 - 538*i*s**4 + i*s + 19808042*i wrt s? -22820*i*s**3 - 6456*i*s**2 Find the second derivative of -2168031*q**2 + 283267*q. -4336062 Find the second derivative of -3*r*v**2 - 3642*r*v - 2*r + 107613269*v**5 + 9*v + 1 wrt v. -6*r + 2152265380*v**3 What is the second derivative of -2332046*i**2 - 8904938*i? -4664092 What is the third derivative of -260958015*f**2*w**5 + 2*f**2*w**2 - 10506*f**2*w - 4*f*w**2 + 2*w**2 + 10*w + 4 wrt w? -15657480900*f**2*w**2 What is the derivative of -11679434*f**3
{ "pile_set_name": "DM Mathematics" }
ainder when 262 is divided by s? 42 Suppose -32*y - w - 355 = -34*y, 6*y - 1066 = 4*w. Calculate the remainder when 1768 is divided by y. 175 Suppose 0 = 3*z + 5*h - 100, -121*h + 120*h = -z + 44. Calculate the remainder when 1754 is divided by z. 34 Suppose 2*l + 7*l = 3087. Suppose 0 = 11*g - 108 - l. What is the remainder when g is divided by 9? 5 Let a = -16 + 37. Let n(s) = -4*s + 38. Let t be n(9). Suppose -f - t*f + a = 0. What is the remainder when f is divided by 6? 1 Suppose -2*z - 10 = 0, z + 86 - 51 = 3*q. What is the remainder when 67 is divided by q? 7 Let a = 70 - 59. Let j(h) = 2*h**3 - 3*h**2 + h - 2. Let c be j(2). Let n(t) = 2*t**2 + t + 3. What is the remainder when n(c) is divided by a? 6 Suppose -t + 5 = -5*u, -4*t = -3*u - 7 + 21. What is the remainder when 265 is divided by u/(-4)*(19 - 25) - -73? 55 Suppose 64 + 79 = -k. What is the remainder when 3/(-6)*(k - -21) is divided by 9? 7 Calculate the remainder when 145 is divided by (8/12)/((-2)/3) - -58. 31 Let c(w) be the second derivative of w**3/3 + 311*w**2/2 - 129*w. Calculate the remainder when c(-17) is divided by 35. 32 Let o = -10464 - -10813. What is the remainder when o is divided by 25? 24 Suppose -4*z - 2936 = -4*k + 30912, -4*k + 33864 = -2*z. Calculate the remainder when k is divided by 24. 22 Let z(o) = 26*o - 92. Let h be z(4). Suppose -3*f = -u - 11, 0*f + 2*f + 4*u = h. Calculate the remainder when 13 is divided by f. 1 Suppose 2 = 2*m + 4*r - 8, 4*r = -4*m + 28. Let c = -119 - -104. Calculate the remainder when 1*4/30 + (-328)/c is divided by m. 4 Let z = -3 + 5. Suppose m - z*m + 118 = 2*d, 4*d + m = 238. Let v(h) = h**3 + 6*h**2 + 5*h + 9. Calculate the remainder when d is divided by v(-4). 18 Suppose 17*h + 84 = 21*h + 4*u, -6*h + 3*u = -117. Calculate the remainder when 58 is divided by h. 18 Suppose -a = -4*a + 615. Suppose a = 3*f + 2*f. Let j = -186 - -197. Calculate the remainder when f is divided by j. 8 Let g = 59 + 1. What is the remainder when 149 is divided by (-12)/g - (-258)/15? 13 Suppose 40 = -5*c + 15*c. Suppose -c = -g - k + 2*k, 4*g + 2*k = 16. Suppose -13*v + g = -22. What is the remainder when 2 is divided by v? 0 Let v(g) = 6*g**2 + g + 34. Let b be v(-6). Let a = b + -220. Calculate the remainder when 354 is divided by a. 18 Let d(o) = -o**2 - 13*o - 19. Let i be d(-11). Let r(l) = -l**3 + 5*l**2 - 9*l + 20. Calculate the remainder when 52 is divided by r(i). 8 Let c = -408 - -414. Calculate the remainder when 192 is divided by ((-177)/(-3))/(c/6). 15 Suppose q + 5*s - 90 = 0, 128 = -3*q + 5*s + 498. What is the remainder when 466 is divided by q? 6 Let w = 278 + 165. What is the remainder when w is divided by 90? 83 Let u = 131 - 81. Suppose u = 7*j - 34. What is the remainder when 12 + 1 - (-14)/7 is divided by j? 3 What is the remainder when -4 + 220/56 + (-420442)/(-308) is divided by 78? 39 Suppose -4*h - 2*i + 488 = 2*i, -493 = -4*h - 5*i. Suppose 0 = 5*b - 5*n - 0*n - 115, 5*n = 2*b - 43. Calculate the remainder when h is divided by b. 21 Let c(q) = -q**3 - 20*q**2 - 18*q + 25. Let w be c(-19). Suppose -w*g + 33*g = 1188. Suppose -2 = k - 10. What is the remainder when g is divided by k? 4 Let k(a) be the first derivative of -5*a**3/3 + 25*a**2/2 + 5*a + 85. Calculate the remainder when 28 is divided by k(5). 3 Suppose 2*b = -b + 291. Let p be (-5125)/(-55) + (-26)/22 + 1. Suppose -2*h + 0*h - 4 = 0, 3*h = -3*x + p. What is the remainder when b is divided by x? 31 Let b = -35465 - -35670. Calculate the remainder when 1825 is divided by b. 185 Suppose 356 = 5*d + 346. Calculate the remainder when 501 is divided by 4/(-8) + d - (-1320)/16. 81 Let h be 3*(-20)/(-12) - (0 + 4). Calculate the remainder when ((-6)/(-12))/(h/98) is divided by 27. 22 Suppose 6*h = 4*h + 3*g + 286, -5*h - 5*g = -665. Let y = h - 121. What is the remainder when 172 is divided by y? 12 Suppose -5*s = -6*k + 7*k - 76, s = 5*k - 302. Suppose a - 132 = 109. Calculate the remainder when a is divided by k. 58 Let r(x) = x**3 - 24*x**2 - 76*x - 87. Let t(j) = j**2 + j + 3. Calculate the remainder when r(27) is divided by t(2). 3 Let o(z) = z**2 + 2*z - 6. Let f be o(-5). Suppose -254 + 728 = 6*j. What is the remainder when j is divided by (f + -3)*3 - 2? 15 Let l(m) = 92*m + 4640. Suppose -u + 5*x + 282 = x, -4*u = -2*x - 1114. Calculate the remainder when u is divided by l(-50). 38 Suppose 6*j - 4*j = l + 133, j = l + 67. Calculate the remainder when 733 is divided by j. 7 Suppose 54 = l + 5*w, -2*l - 3*w - 2*w = -83. Suppose -2*q + 13 = l. Let k = q - -15. Calculate the remainder when 38 is divided by k. 3 Suppose 0 = -10*g + 38 - 8. Suppose 6 + g = 3*c + 3*n, 4*n = -16. Suppose -26 = -q + 5*f, c*f - 4*f - 58 = -4*q. What is the remainder when q is divided by 5? 1 Let i = -302 + 735. Let d = -356 + i. What is the remainder when d is divided by 60? 17 Suppose -32 + 158 = -6*m. Let z = -19 - m. Suppose n - y = 20, -5*n = -2*n - z*y - 55. Calculate the remainder when n is divided by 11. 4 Let z = -17685 - -17718. Let h(f) = f + 7. Let m be h(0). Suppose 803 = 4*k - 3*u, -m*k + 2*k - 4*u = -965. Calculate the remainder when k is divided by z. 32 Suppose 1318 + 42347 = 71*y. Calculate the remainder when y is divided by 206. 203 Let i = 21683 + -4136. Calculate the remainder when i is divided by 27. 24 Suppose 0 = -5*b - 3*p + 276, -3*b + 3*p = -32 - 148. Let l = -819 - -1387. What is the remainder when l is divided by b? 55 Suppose 6 = 2*w - z - 0, 4*z - 28 = -5*w. Let f = 32 + 26. Suppose -65 = -4*p - h, 19 - f = -3*p - 4*h. What is the remainder when p is divided by w? 1 Let i(k) = -3*k + 257. Let g be i(6). Let c = -162 + g. What is the remainder when 379 is divided by c? 71 Let p(x) = -15*x - 1. Suppose -4*r = -4 + 8. Suppose 0 = -3*u + 3*s + 24, 6*u = 3*u + 4*s + 28. What is the remainder when p(r) is divided by u? 2 Let w = 22100 + -21837. What is the remainder when w is divided by 10? 3 Let j(s) = 42*s + 2252. Calculate the remainder when 1285 is divided by j(-53). 11 Suppose -3*t + 5*c + 108 = 0, -4*t - c + 111 = -33. Let k = 46 + 25. What is the remainder when k is divided by 10/5 - (1 - t)? 34 Suppose -12*r - 108*r = -27120. Calculate the remainder when 900 is divided by r. 222 Suppose 5*l + 6 = 3*u, 0 = -2*l + 5*l. Suppose -81 = -u*f + 71. What is the remainder when f is divided by 39? 37 Suppose 496*m - 1102 + 435 = 473*m. Calculate the remainder when 555 is divided by m. 4 Let r = 2877 - 2818. Calculate the remainder when r is divided by 23. 13 Suppose 31*i + 958 = 2074. Calculate the remainder when 10834 is divided by i. 34 Suppose 40*d + 4515 - 4710 = 7485. Suppose -2*m - 23 = -o, 5*o - 2*m - 87 = m. What is the remainder when d is divided by o? 12 Let y = -21723 - -21888. What is the remainder when 1000 is divided by y? 10 Let s(f) = f**2 - 99*f + 740. Calculate the remainder when 249 is divided by s(8). 9 Let a(l) = -476*l + 7670. What is the remainder when 19274 is divided by a(16)? 50 Suppose -l - 5*f - 12 = -323, 4*l - 1175 = 3*f. What is the remainder when l is divided by 7? 2 Suppose 163 + 76 - 35 = 4*t. Calculate the remainder when 70 is divided by t. 19 Suppose y = v - 38 + 24, 3*v = 5*y + 48. Calculate the remainder when 193 is divided by v. 6 Suppose -17*x = -14*x - 15. Suppose -x*q - 5*t = -3 - 2, 3*q - 5*t - 43 = 0. What is the remainder when ((30 - 2)/(-2))/((-2)/q) is divided by 11? 9 Suppose 574 = -14*r + 1680. Suppose 6*l = -r - 65. Calculate the remainder when (l + 1)/(15/(-3) + 4) is divided by 6. 5 Let w = 110 + -73. Suppose g - 80 = -3*g. Calculate the remainder when w is divided by ((-2)/4)/((-5 + 0)/g). 1 Let n = 1984 + -1907. What is the remainder when 221 is divided by n? 67 Let k = 349 - 346. Suppose -4*j + 12 = 0, -k*j = 5*h - 947 - 1617. Calculate the remainder when h is divided by 64. 63 Let k = -40 - -46. Let q be (-2)/k + (-12)/(-9) - 1. Suppose q = -4*d - 3*g + 128, -3*d + 66 = 2*g - 30. Calculate the remainder when d is divided by 5. 2 Suppose 5*c + 5*d = 3450, -c + 38*d - 37*d = -694. Calculate the remainder when c is divided by 24. 20 Let t = 289 + -288. Suppose s = -w + 13, 7 = -2*w - t. What is the remainder when s is divided by 4? 1 Calculate the remainder when 10413/267 - (-1 - (-1 + -1)) is divided
{ "pile_set_name": "DM Mathematics" }
/9 - 1040*y/9 - 1028/3 = 0. -257, -3 Suppose 3*z**2 - 18*z + 15 = 0. What is z? 1, 5 Factor y**2 - 19*y + 18. (y - 18)*(y - 1) Factor 2*j**4/11 - 50*j**3/11 + 432*j**2/11 - 128*j + 1024/11. 2*(j - 8)**3*(j - 1)/11 Determine p so that -175*p**4 + 185*p**3 + 1390*p**2 - 2180*p + 120 = 0. -3, 2/35, 2 Find z such that -15*z**5 + 295*z**4 + 6005*z**3 + 20125*z**2 - 16170*z = 0. -7, 0, 2/3, 33 Factor n**3 + 121*n**2/2 - 125*n. n*(n - 2)*(2*n + 125)/2 Suppose -2*n**2/5 - 2*n - 12/5 = 0. What is n? -3, -2 Find b such that -2*b**5/7 + 10*b**4/7 + 6*b**3 - 226*b**2/7 + 296*b/7 - 120/7 = 0. -5, 1, 2, 6 Factor 4*z**4 - 3048*z**3 - 12*z**2 + 9152*z - 6096. 4*(z - 762)*(z - 1)**2*(z + 2) Factor -2*z**2 - 14*z + 36. -2*(z - 2)*(z + 9) Suppose -d**4/5 + 35*d**3 - 688*d**2/5 + 684*d/5 = 0. Calculate d. 0, 2, 171 Solve -b**2/3 + 102*b = 0. 0, 306 Factor 4*n**2/3 + 128*n/3 + 124/3. 4*(n + 1)*(n + 31)/3 Factor s**2/2 - 55*s. s*(s - 110)/2 Solve 7*v**4/2 + 23*v**3/2 - 11*v**2 - 4*v = 0 for v. -4, -2/7, 0, 1 Factor 4*z**3 + 744*z**2 + 46128*z + 953312. 4*(z + 62)**3 Determine l, given that 2*l**4/3 + 4*l**3/3 - 2*l**2/3 - 4*l/3 = 0. -2, -1, 0, 1 Suppose -28*k**5 + 36*k**4 + 48*k**3 - 16*k**2 = 0. Calculate k. -1, 0, 2/7, 2 Factor -4*f**5 - 28*f**4 + 120*f**3. -4*f**3*(f - 3)*(f + 10) Factor -6*v**3 + 9*v**2 + 6*v. -3*v*(v - 2)*(2*v + 1) Determine i so that i**3 - 15*i**2 + 63*i - 81 = 0. 3, 9 Suppose 4*i**2 - 140*i - 8184 = 0. Calculate i. -31, 66 Factor -9*x**2 + 3243*x + 2166. -3*(x - 361)*(3*x + 2) Solve 4*x**2 - 76*x + 72 = 0 for x. 1, 18 Factor 2*u**3/7 + 6*u**2 + 78*u/7 + 38/7. 2*(u + 1)**2*(u + 19)/7 Solve -2*j**5/3 + 485*j**4/6 + 371*j**3/6 - 607*j**2/6 - 367*j/6 + 61/3 = 0 for j. -1, 1/4, 1, 122 Suppose 9*o**5 + 57*o**4 - 54*o**3 - 78*o**2 + 45*o + 21 = 0. What is o? -7, -1, -1/3, 1 Factor 3*o**2 - 48*o - 315. 3*(o - 21)*(o + 5) Factor u**2/3 - 8*u/3 - 11. (u - 11)*(u + 3)/3 Factor 3*q**3 + 547*q**2 - 2050*q - 744. (q - 4)*(q + 186)*(3*q + 1) Factor -3*z**4 + 108*z**3 - 207*z**2 + 102*z. -3*z*(z - 34)*(z - 1)**2 Let -961*d**3 - 589*d**2 + 336*d - 36 = 0. What is d? -1, 6/31 Solve 12*q**5 + 3*q**4 - 81*q**3 + 54*q**2 = 0. -3, 0, 3/4, 2 What is o in 2*o**2/5 + 12*o/5 - 144/5 = 0? -12, 6 Factor 2*s**2/3 + 8*s/3 - 14. 2*(s - 3)*(s + 7)/3 Solve 6*z**2/7 - 1086*z/7 + 1080/7 = 0 for z. 1, 180 Determine z, given that -5*z**2 + 460*z = 0. 0, 92 Find c such that 3*c**5/5 + 6*c**4 + 96*c**3/5 + 96*c**2/5 = 0. -4, -2, 0 Determine b so that 3*b**4/7 - 222*b**3/7 + 5619*b**2/7 - 7992*b + 27216 = 0. 9, 28 Factor -2*a**3/11 - 140*a**2/11 - 536*a/11 - 48. -2*(a + 2)**2*(a + 66)/11 Solve -3*r**3 + 531*r**2 - 4077*r + 3549 = 0. 1, 7, 169 Factor -2*z**2 - 142*z + 924. -2*(z - 6)*(z + 77) Let g**3/3 + 8*g**2/3 - 19*g/3 + 10/3 = 0. Calculate g. -10, 1 Factor 18*q**4/13 + 56*q**3/13. 2*q**3*(9*q + 28)/13 Find b, given that -3*b**2 - 84*b - 480 = 0. -20, -8 Find t such that -2*t**4/7 + 20*t**3/7 + 102*t**2/7 + 136*t/7 + 8 = 0. -2, -1, 14 Find m such that 4*m**2 - 20*m + 24 = 0. 2, 3 What is t in 14*t**4/13 + 54*t**3/13 - 124*t**2/13 - 216*t/13 + 272/13 = 0? -34/7, -2, 1, 2 Factor f**2/6 + 25*f/6 + 50/3. (f + 5)*(f + 20)/6 Factor 4*l**2 + 232*l - 236. 4*(l - 1)*(l + 59) Factor -2*c**4/9 - 10*c**3/3 - 14*c**2 - 98*c/9. -2*c*(c + 1)*(c + 7)**2/9 Factor 4*i**3 - 176*i**2 - 752*i - 768. 4*(i - 48)*(i + 2)**2 Let 3*q**4 - 138*q**3 + 1839*q**2 - 5796*q + 5292 = 0. Calculate q. 2, 21 Factor 3*v**3/8 - 207*v**2/4 + 102*v. 3*v*(v - 136)*(v - 2)/8 Factor -4*i**3 + 2532*i**2 - 401952*i + 399424. -4*(i - 316)**2*(i - 1) Factor 3*z**4 + 14*z**3 - 5*z**2. z**2*(z + 5)*(3*z - 1) Find o, given that -3*o**5/4 + 9*o**4 - 51*o**3/4 - 51*o**2/2 + 27*o + 30 = 0. -1, 2, 10 Factor -w**4 + 55*w**3 - 879*w**2 + 3325*w - 2500. -(w - 25)**2*(w - 4)*(w - 1) Find k, given that -k**4/2 - 11*k**3/2 - 35*k**2/2 - 25*k/2 = 0. -5, -1, 0 Factor 2*m**5/7 - 12*m**4/7 + 26*m**3/7 - 24*m**2/7 + 8*m/7. 2*m*(m - 2)**2*(m - 1)**2/7 Suppose 4*l**4 + 112*l**3 + 784*l**2 = 0. Calculate l. -14, 0 Solve -8*s**3/3 + 47*s**2/3 + 2*s = 0. -1/8, 0, 6 Let 2*l**2/7 + 2*l/7 - 12/7 = 0. Calculate l. -3, 2 Determine b, given that -4*b**4/3 + 64*b**3/3 - 68*b**2 - 192*b + 720 = 0. -3, 3, 6, 10 Find s, given that 10*s**5/3 - 12*s**4 + 14*s**3/3 + 52*s**2/3 - 8*s - 16/3 = 0. -1, -2/5, 1, 2 Factor 5*q**3 - 2*q**2 - 5*q + 2. (q - 1)*(q + 1)*(5*q - 2) Suppose -2*w**5 + 24*w**4 + 2*w**3 - 24*w**2 = 0. What is w? -1, 0, 1, 12 Solve -2*l**4/5 - 4*l**3 - 14*l**2 - 20*l - 48/5 = 0 for l. -4, -3, -2, -1 Determine r so that -4*r**3 + 40*r**2 + 148*r + 104 = 0. -2, -1, 13 Factor -3*l**4/7 + 1506*l**3/7 - 189003*l**2/7. -3*l**2*(l - 251)**2/7 Determine v so that -2*v**5/9 - 46*v**4/9 - 380*v**3/9 - 1316*v**2/9 - 1666*v/9 - 686/9 = 0. -7, -1 Solve 3*l**5/2 + 27*l**4/2 - 3*l**3/2 - 351*l**2/2 + 162 = 0. -6, -1, 1, 3 Factor w**5 - 4*w**4 + 3*w**3 + 4*w**2 - 4*w. w*(w - 2)**2*(w - 1)*(w + 1) Determine v so that -2*v**2 + 194*v/9 + 44/9 = 0. -2/9, 11 Find w, given that w**2/9 + 61*w/3 - 184/9 = 0. -184, 1 Factor -u**4/3 - 5*u**3 - 26*u**2 - 160*u/3 - 32. -(u + 1)*(u + 4)**2*(u + 6)/3 Factor 6*u**3/11 - 30*u**2/11 - 150*u/11 + 750/11. 6*(u - 5)**2*(u + 5)/11 Factor 2*u**5/9 + 92*u**4/9 - 832*u**3/9 + 192*u**2. 2*u**2*(u - 4)**2*(u + 54)/9 Factor 2*x**5 + 12*x**4 - 6*x**3 - 32*x**2 + 24*x. 2*x*(x - 1)**2*(x + 2)*(x + 6) Determine d so that -88*d**4 - 10*d**3 + 56*d**2/11 + 8*d/11 = 0. -2/11, 0, 1/4 Suppose -4*r**2 - 720*r - 32400 = 0. Calculate r. -90 Factor -b**5/8 - 7*b**4/4 - 67*b**3/8 - 73*b**2/4 - 37*b/2 - 7. -(b + 1)*(b + 2)**3*(b + 7)/8 Suppose -p**2 + 33*p - 266 = 0. What is p? 14, 19 Solve 3*x**4/5 + 234*x**3/5 + 912*x**2 - 234*x/5 - 4563/5 = 0. -39, -1, 1 Factor 6*a**3/11 - 24*a**2/11 - 24*a/11 + 96/11. 6*(a - 4)*(a - 2)*(a + 2)/11 Suppose 3*v**3 - 24*v**2 + 51*v - 30 = 0. Calculate v. 1, 2, 5 Determine v, given that -v**3/2 + 7*v**2/2 + 3*v - 36 = 0. -3, 4, 6 Factor 2*w**3 + 48*w**2 + 288*w. 2*w*(w + 12)**2 Let d**5/6 - 7*d**4/3 + 7*d**3/3 + 118*d**2/3 + 123*d/2 + 27 = 0. Calculate d. -2, -1, 9 Factor 2*j**3 - 80*j**2 + 800*j. 2*j*(j - 20)**2 Find r such that r**5/8 + 3*r**4/8 - 5*r**3/4 - 13*r**2/2 - 9*r - 4 = 0. -2, -1, 4 Let 9*h**5/8 + 3*h**4/8 - 117*h**3/4 - 39*h**2/4 + 225*h/8 + 75/8 = 0. What is h? -5, -1, -1/3, 1, 5 Factor -2*f**2/3 - 244*f/3 - 7442/3. -2*(f + 61)**2/3 Determine r, given that 5*r**2 + 12470*r + 7775045 = 0. -1247 Factor -4*p**3 + 136*p**2 - 1476*p + 5184. -4*(p - 16)*(p - 9)**2 What is m in 6*m**5 - 8*m**4 - 328*m**3 - 748*m**2 - 254*m + 180 = 0? -5, -2, -1, 1/3, 9 Solve -75*n**5 + 14345*n**4 - 680653*n**3 - 504385*n**2 - 119616*n - 9216 = 0 for n. -1/3, -1/5, 96 Factor 2*u**4/5 + 12*u**3/5 - 16*u**2/5 - 192*u/5 - 256/5. 2*(u - 4)*(u + 2)*(u + 4)**2/5 Factor q**4/5 + 8*q**3/5 + 24*q**2/5 + 32*q/5 + 16/5. (q + 2)**4/5 Factor 5*x**5 - 47*x**4 + 118*x**3 - 40*x**2. x**2*(x - 5)*(x - 4)*(5*x - 2) Factor -7*s**2/2 + 50*s - 14. -(s - 14)*(7*s - 2)/2 Solve n**5/3 + 14*n**4/3 - 2*n**3 - 76*n**2/3 + 109*n/3 - 14 = 0 for n. -14, -3, 1 Factor -d**3/6. -d**3/6 Factor -3*z**2 + 46*z + 32. -(z - 16)*(3*z + 2) Solve 7*x**2 - 2700*x - 772 = 0. -2/7, 386 Determine u, given that 5*u**5 + 40*u**4 + 110*u**3 + 120*u**2 + 45*u = 0. -3, -1, 0 Factor -4*b**2 - 24*b. -4*b*(b + 6) Suppose -v**2/4 - 251*v/4 - 249/2 = 0. What is v? -249, -2 Let -3*y**5 - 21*y**4 - 42*y**3 - 24*y**2 = 0. What is y? -4, -2, -1, 0 Factor -l**2/8 - 11*l/8 + 15/2. -(l - 4)*(l + 15)/8 Determine j, given that -2*j**4/13 + 62*j**3/13 - 398*j**2/13 + 690*j/13 = 0. 0, 3, 5, 23 Solve -512*h**5/3 + 64*h**4/3 + 926*h**3/3 - 226*h**2/3 - 138*h + 54 = 0 for h. -1, 9/16, 1 Suppose -18*t**3 + 165*t**2 + 369*t - 66 = 0. Calculate t. -2, 1/6, 11 What is h in -h**3/5 + h**2/5 + 5*h - 5 = 0? -5, 1, 5 Solve 3*z**2 - 5019*z + 10026 = 0 for z. 2, 1671 Factor 4*z**3 + 76*z**2 - 456*z + 576. 4*(z - 3)*(z - 2)*(z + 24) Factor -50*n**2 + 385*n - 245. -5*(n - 7)*(10*n - 7) Factor j**5 + j**4 - 26*j**3 + 24*j**2. j**2*(j - 4)*(j - 1)*(j + 6) Find l such that 28*l**4 - 188*l**3 - 56*l**2 = 0. -2/7, 0, 7 Factor -3*h**3 - 4023*h**2 + 8055*h - 4029. -3*(h - 1)**2*(h + 1343) Find v, given that -v**2/5 - 392*v/5 - 38416/5 = 0. -196 Factor -22*c**4/9 + 136*c**3/9 - 8*c**2/3. -2*c**2*(c - 6)*(11*c
{ "pile_set_name": "DM Mathematics" }
(13). -2 Let y(v) = -12*v**3 - v**2 - 2*v - 2. Determine y(-1). 11 Let l(q) = 17*q - 16. Calculate l(2). 18 Let i(q) = 15*q**2 + 4*q - 1. Give i(1). 18 Let y(d) = d**3 + 5*d**2 + 3*d + 14. Determine y(-5). -1 Let j(a) = 3*a**2 - 27*a + 12. Calculate j(9). 12 Let m(d) = 8*d**3 - 2*d**2 + 2*d - 1. What is m(1)? 7 Let c(u) = 22*u + 95. Calculate c(-3). 29 Let z(d) = -d**2 - 9*d - 15. Calculate z(-5). 5 Let v(h) = h**3 - 18*h**2 + 10*h + 16. Calculate v(17). -103 Let u(o) = -22*o + 147. Give u(7). -7 Let n(r) = -2*r**2 - 2*r + 1. Determine n(4). -39 Let y(g) = -g - 4. What is y(7)? -11 Let u(p) = -p**3 + 15*p**2 - 20*p - 84. Give u(13). -6 Let u(p) = -7*p + 136. Give u(20). -4 Let k(w) = 68*w**3 - 2*w**2 + 2*w - 1. Give k(1). 67 Let y(d) = d**2 + 16*d - 53. Give y(-21). 52 Let n(s) = -42*s + 679. Give n(16). 7 Let l(j) = -2*j + 21. Give l(11). -1 Let i(o) = -33*o - 48. Determine i(-4). 84 Let l(v) = -7*v + 1. Calculate l(2). -13 Let g(t) = 2*t**2 - 3. Give g(-3). 15 Let n(c) = -c**2 - 11*c + 57. Calculate n(-13). 31 Let b(i) = -9*i - 33. Give b(-4). 3 Let g(c) = c**3 - c**2 - 3*c + 2. Determine g(2). 0 Let w(h) = h**3 + 21*h**2 + 40*h + 29. Determine w(-19). -9 Let w(u) = -20*u**3 + 3*u**2 - u - 1. What is w(1)? -19 Let b(m) = -2*m**2 - 16*m - 4. Calculate b(-8). -4 Let n(j) = j**3 - 26*j**2 - 26*j - 12. What is n(27)? 15 Let n(m) = -m**2 + 12*m - 19. What is n(9)? 8 Let y(u) = u**2 - 24*u + 18. Determine y(14). -122 Let k(f) = -2*f + 45. What is k(6)? 33 Let z(u) = 2*u**2 - 49*u + 1. Calculate z(25). 26 Let l(r) = r**3 + 13*r**2 + 14*r - 13. What is l(-12)? -37 Let p(x) = x**3 + 11*x**2 + 12*x + 1. Determine p(-10). -19 Let q(p) = -75*p - 71. Calculate q(-1). 4 Let j(a) = a**2 + 12*a + 10. Calculate j(-11). -1 Let x(p) = -p**3 + 10*p**2 - 10*p + 95. What is x(10)? -5 Let y(h) = -6*h + 9. Determine y(2). -3 Let j(q) = -2*q - 2. What is j(-9)? 16 Let o(i) = i**2 - 21*i - 16. Determine o(18). -70 Let f(v) = 12*v - 14. What is f(1)? -2 Let o(y) = y**2 + 17*y + 32. Give o(-17). 32 Let d(g) = 108*g - 447. Give d(4). -15 Let m(h) = -h**3 - 32*h**2 + 141*h - 112. What is m(-36)? -4 Let o(g) = -g**3 + 2*g**2 + 2*g - 3. Calculate o(2). 1 Let m(f) = -f**3 - 12*f**2 - 2*f - 23. Give m(-12). 1 Let c(d) = -d**2 - 10*d + 14. Determine c(-11). 3 Let c(y) = 5*y - 114. Calculate c(24). 6 Let y(m) = 13*m - 11. Give y(3). 28 Let c(v) = 9*v**2 + 6*v + 1. Calculate c(-1). 4 Let a(n) = -4*n**2 + 7*n - 15. What is a(6)? -117 Let h(n) = n**3 - 18*n**2 + 45*n - 6. Calculate h(15). -6 Let f(g) = g**2 - g. Give f(-1). 2 Let q(l) = l**3 - 10*l**2 + l - 9. Give q(10). 1 Let s(x) = -30*x**2 - 2*x + 1. Give s(1). -31 Let x(k) = k**3 - 5*k**2 - 11*k - 2. Determine x(6). -32 Let a(j) = j**3 + 8*j**2 - 12*j. What is a(-9)? 27 Let r(c) = c**3 - 28*c**2 - 32*c + 62. What is r(29)? -25 Let k(j) = j**2 - 6*j + 2. What is k(8)? 18 Let m(s) = s**3 - 3*s**2 - 5*s - 4. Calculate m(4). -8 Let l(f) = f**3 - 8*f**2 + 10. Give l(2). -14 Let r(t) = -t**2 - 8*t - 24. Give r(-10). -44 Let x(y) = y**2 - 29*y + 24. What is x(28)? -4 Let m(a) = -a**3 - 8*a**2 + 6*a - 20. What is m(-9)? 7 Let r(p) = p**2 - 14*p + 14. What is r(13)? 1 Let j(d) = d**3 + 6*d**2 + 8. Calculate j(-6). 8 Let d(u) = -4*u - 25. Determine d(-25). 75 Let i(x) = -x**2 + 16*x - 30. Give i(14). -2 Let f(o) = -o**3 + 5*o**2 - 3*o + 2. Give f(2). 8 Let l(x) = -16*x + 28. Give l(1). 12 Let u(j) = 3*j + 29. Determine u(-13). -10 Let o(f) = -83*f**3 - f - 1. Give o(-1). 83 Let r(o) = o**3 + 4*o**2 - 4*o - 8. What is r(-4)? 8 Let g(m) = 3*m - 19. Determine g(6). -1 Let q(d) = -d**3 - 20*d**2 - d - 23. Give q(-20). -3 Let u(n) = -n**2 + n - 2. Calculate u(-3). -14 Let k(i) = -3*i**2 + 22*i - 11. Calculate k(6). 13 Let i(q) = -q**3 + 4*q**2 - 4*q - 2. Give i(4). -18 Let t(w) = 4*w - 81. Calculate t(14). -25 Let w(o) = 11*o + 80. Calculate w(-11). -41 Let v(f) = -9*f + 12. What is v(6)? -42 Let a(t) = -t**3 + 19*t**2 + 42*t + 1. What is a(21)? 1 Let a(f) = 2*f**2 - 25*f + 25. What is a(12)? 13 Let j(b) = b**2 - 2*b - 9. Calculate j(-2). -1 Let w(l) = -l**3 - 13*l**2 - 14*l - 20. What is w(-12)? 4 Let w(a) = -a - 75. What is w(0)? -75 Let h(k) = 36*k + 3. Give h(-5). -177 Let i(w) = w**3 + 25*w**2 + 23*w - 33. Determine i(-24). -9 Let s(l) = -l**3 - 7*l**2 - 71*l - 396. Calculate s(-6). -6 Let c(d) = d - 2. Calculate c(2). 0 Let r(b) = b**2 - 12*b - 11. What is r(12)? -11 Let y(o) = 3*o + 6. Determine y(-3). -3 Let r(n) = -n**2 - 2*n - 1. Calculate r(-4). -9 Let k(u) = -u**3 + 12*u**2 + 15*u - 12. What is k(13)? 14 Let b(o) = -2*o**2 + 14*o - 33. Calculate b(6). -21 Let i(u) = -5*u + 18. Determine i(-8). 58 Let y(g) = -g**3 - 4*g**2 + 4*g - 13. Give y(-5). -8 Let r(t) = -8*t + 70. Calculate r(8). 6 Let j(i) = -i - 17. What is j(-13)? -4 Let w(t) = -t**2 - 19*t + 555. Give w(-35). -5 Let l(q) = -2*q - 7. Give l(-4). 1 Let z(l) = -l**3 - 5*l**2 - 5*l - 12. Calculate z(-4). -8 Let t(r) = -r**2 - 19*r + 36. Determine t(-21). -6 Let v(y) = 7*y - 31. What is v(4)? -3 Let i(o) = -2*o + 9. Calculate i(7). -5 Let y(w) = -5*w - 130. What is y(-27)? 5 Let r(g) = g**3 + 19*g**2 - 7*g - 20. Determine r(-19). 113 Let z(q) = -2*q**3 - 15*q - 15. Determine z(-1). 2 Let h(v) = 5*v - 3. Calculate h(-1). -8 Let y(g) = -g**3 - 4*g**2 + 2*g - 18. Give y(-5). -3 Let o(g) = 11*g**2 - 2*g + 1. Determine o(1). 10 Let o(a) = -21*a + 37. Calculate o(3). -26 Let h(i) = -6*i**2 + 14*i - 10. What is h(3)? -22 Let y(t) = t**3 - 58*t**2 - 61*t + 121. Give y(59). 3 Let l(m) = -2*m - 38. Calculate l(-20). 2 Let r(n) = n**3 - 2*n**2 + 5*n - 3. What is r(2)? 7 Let s(j) = -j**2 - 20*j + 102. What is s(-24)? 6 Let g(t) = -t**2 - 8*t - 8. Calculate g(-8). -8 Let i(n) = -3*n**2 - 37*n + 21. Calculate i(-9). 111 Let c(j) = j**2 - j + 19. Determine c(0). 19 Let g(y) = 5*y**3 + 4*y - 4. Calculate g(1). 5 Let z(j) = 102*j - 93. Calculate z(1). 9 Let b(z) = -7*z - 200. Determine b(-34). 38 Let w(t) = -t**2 + 2*t + 17. Determine w(6). -7 Let j(n) = n**3 - 2*n**2 - n + 1. What is j(-1)? -1 Let y(b) = -2*b**2 - 30*b + 36. Give y(-17). -32 Let w(p) = -p - 2. What is w(-7)? 5 Let h(p) = 7*p + 28. Give h(-4). 0 Let g(p) = -7*p + 319. Determine g(45). 4 Let r(b) = b**3 + 5*b**2 - 26*b - 9. What is r(-6)? 111 Let i(o) = 2*o - 9. Give i(-11). -31 Let d(l) = -l**3 + 11*l**2 + 13*l - 13. Give d(12). -1 Let h(s) = -s**2 + 27*s - 66. Determine h(24). 6 Let u(y) = -y**2 + 8*y - 6. What is u(6)? 6 Let q(p) = -p + 26. Calculate q(24). 2 Let m(f) = f + 3. What is m(3)? 6 Let z(n) = 15*n + 231. Give z(-16). -9 Let l(b) = -8*b + 113. Determine l(14). 1 Let b(l) = -l**3 - 4*l**2 - 3*l - 11. What is b(-4)? 1 Let y(k) = -k**2 - 5*k. Determine y(-2). 6 Let s(h) = -2*h**2 + 4*h - 5. Calculate s(1). -3 Let a(k) = -k**2 - 2*k + 7. Determine a(5). -28 Let t(z) = -z**3 - 22*z**2 + 61*z - 343. Calculate t(-25). 7 Let g(f) = f - 2. What is g(3)? 1 Let p(l) = -l**2 + 17*l + 12. What is p(12)? 72 Let n(j) = -j**3 - 14*j**2 + 3*j - 17. Determine n(-14). -59 Let o(t) = t**3 - 11*t**2 - 13*t + 5. Give o(12). -7 Let n(d) = d - 23. What is n(5)? -18 Let f(s) = -s + 5. Give f(3). 2 Let n(c) = c**2 + c + 102. What is n(0)? 102 Let a(f) = -f**3 + f**2 + 42*f + 9. Give a(-6). 9 Let z(b) = -2*b**3 - 3*b**2 - 2*b - 7. Calculate z(-3). 26 Let i(v) = -v**2 - 2*v + 10. Determine i(0). 10 Let c(n) = 2*n**2 - 49*n + 22. Give c(24). -2 Let w(l) = -36*l**2 + 2*l + 1. Calculate w(-1). -37 Let a(d) = d**2 - 7*d + 3. What is a(4)? -9 Let z(t) = -77*t**3 + t**2 - t + 1. Calculate z(1). -76 Let h(j) = -j**3 - 5*j**2 + 3*j - 11. Determine h(-6). 7 Let a(d) = -5*d**2 + 5*d + 3. Calculate a(4). -57 Let o(j) = -6*j - 10. Give o(-3). 8 Let p(q) = 2*q - 13. Calculate p(27). 41 Let h(w) = w**3 - 7*w**2 - 28*w - 14. Calculate h(10). 6 Let d(t) = -t**3 - 18*t**2 + 17*t - 33. Determine d(-19). 5 Let b(w) = w**2 + 22*w - 18. Determine b(-22). -18 Let a(q) = -q**2 - 3*q - 10. Determine a(5). -50 Let b(c) = -c**3 - c**2 - c + 16. Determine b(0). 16 Let a(y) = 4*y**2 + 4*y + 7. Give a(-3). 31 Let r(y) = -y + 19. Determine r(10). 9 Let u(o) = -5*o - 41. Calculate u(-8). -1 Let i(g) = -g**2 - 14*g - 39. Determine i(-8). 9 Let d(x) = x**2 - 6*x - 1. What is d(-5)? 54 Let t(l) = l**2 - 5*l - 10. Determine t(-3). 14 Let x(n) = n**2 - 7*n - 11. Determ
{ "pile_set_name": "DM Mathematics" }
g + -5/17. What is the closest to 1/4 in x, t, 0? 0 Let u be 0 - 1 - (-2)/(-2). Let c be u/(-3)*(-3)/(-6). What is the closest to c in 3/4, 0.4, -0.5? 0.4 Let z = -41 - -44. Which is the closest to 8? (a) z (b) 2 (c) -0.1 a Suppose -z = -2*h + 1 - 4, -6 = 4*z + h. Let j = -23.975 - 0.025. Let g = -26 - j. Which is the closest to z? (a) -1 (b) g (c) 3/5 a Let w = -1.2 + 0.8. Let f = -9 + 5. What is the nearest to 1/2 in -4/7, w, f? w Let d(x) = x**3 + 2*x**2 - 6*x + 1. Let h be d(-3). Let n be (-5)/(h/(-6))*1. What is the nearest to -1 in n, -2, -4? -2 Let w = 0.1 + 0.9. Let i = 0.08 + -0.08. Which is the nearest to i? (a) -0.1 (b) -4 (c) w a Let a = 68 + -70. What is the closest to a in -2, 3, -0.1? -2 Let g = 63.3 + -63. Which is the closest to 3/2? (a) g (b) 2 (c) -0.06 b Let f(m) = m + 3. Let g = -10 - -4. Let j be f(g). Let d = j - -2. Which is the nearest to 0? (a) 4 (b) d (c) -3/4 c Let x = -25 - -24. What is the closest to -7/2 in 1/2, x, 5? x Let g = 0.083 + -0.483. Which is the closest to -1/4? (a) 2/9 (b) g (c) 0 b Suppose -2*o + 0*o - 6 = 0. Let g(i) = i. Let t be g(o). What is the nearest to -0.1 in 5, t, 3/4? 3/4 Let j = 3 - 4. Let d = 9.8 + -10. Let h = d - -0.3. Which is the closest to h? (a) -0.4 (b) j (c) 0.4 c Let o = 0.5 + -0.9. Let q = o - 0.1. Let s = 370 + -366. Which is the closest to 1/4? (a) s (b) 5 (c) q c Let i = -16 + 12. What is the closest to 0 in i, -2, 5? -2 Suppose -5*s = p + 41 + 38, 2*s = -4*p - 46. Which is the nearest to 1? (a) s (b) 1 (c) 2 b Let j = 3 + 0. Let d be 3 - ((-34)/(-6) - 3). Which is the closest to d? (a) j (b) -4 (c) 2 c Let p = -6.5 + 6. What is the closest to -0.1 in p, -5, 3? p Let n = 3.9 + -4.3. What is the closest to 0.1 in 0.2, n, 9? 0.2 Let h = -20 - -19. What is the closest to 2/7 in h, -1/3, 3? -1/3 Suppose -3*u - 4 = -16. Let w = 737 + -1511/2. Let t = 18 + w. Which is the closest to -1? (a) u (b) -1 (c) t b Let i = -0.36 - 1.64. What is the nearest to 0 in i, -2/11, 3? -2/11 Let k = -14 - -16. Let t = 2.1 + -2. Let g = 15 - 11. What is the closest to k in t, g, 1/7? 1/7 Let t = -21 - -18. What is the nearest to 0 in t, -0.3, -1? -0.3 Let d be 33/(-22) + 306/(-4). Let w = d - -549/7. What is the closest to 0.2 in 2/11, 2/3, w? 2/11 Let s = -0.05 + 0.25. What is the closest to 1/2 in 0, 0.1, s? s Let u = 5 + -2. Let b = 3 - 2. What is the nearest to -2 in b, 0.3, u? 0.3 Let g = -0.1 - 1.9. Let h(p) = p**2 + 7*p. Let y(o) = o**2 + 6*o. Let q(l) = 4*h(l) - 5*y(l). Let f be q(-2). What is the closest to f in 5, 4, g? g Let x be (3 + 0)*10/6. Suppose 4*h - 6 = -4*j + 2*h, x*j = 2*h + 30. Let r = -0.1 + 0.4. What is the nearest to 0.1 in 1/5, r, j? 1/5 Let a = -211/4 + 53. What is the closest to a in 2/5, 0.02, 5/4? 2/5 Let m be -5 + 2*(-5)/(-10). What is the closest to -1 in 0, 5, m? 0 Let d be ((-1)/(-5))/((-7)/(-21)). What is the closest to 1 in -3, d, 0.5? d Let o = 121 - 1091/9. Let r = 0.59 - 0.99. What is the nearest to 1/2 in r, o, -0.1? -0.1 Suppose 0 = 2*r + 4*k - 5*k + 1, -r = -4*k - 3. Let s = -0.6 + 0.4. Let f = -8 + 7. What is the nearest to f in s, 1, r? r Let i(w) = w**2 - 2*w - 2. Let g be i(3). Suppose 5 = 2*n - g. Suppose 0 = -2*z - k - 4, n*z + 4*k + 4 = -z. What is the nearest to -0.1 in z, -5, 1? 1 Let j = 9550.06 - 9402. Let o = j - 150. Let d = o - 0.06. Which is the closest to 1? (a) d (b) -3 (c) -0.2 c Let a = -1 + 4. Let s = 0.4 - 0.3. What is the closest to -1 in a, -1, s? -1 Let a = -0.05 + 0.08. Let x = -0.53 + a. What is the nearest to -0.2 in -0.1, x, -0.4? -0.1 Let j = -2.86 + 3. Let g = j - 0.04. What is the nearest to -3 in g, 1/3, -1/4? -1/4 Let o = -134 - -134. Which is the nearest to o? (a) 4 (b) 2 (c) 11 b Suppose -7*q + 4*q - 6 = 0. Let l be 10/(-3) - (q + -1). What is the nearest to 1 in 2/7, l, -1/2? 2/7 Let j = -22 - -21.8. What is the nearest to 0.2 in -0.3, j, -0.4? j Let o = 4 + -6. Let f = 0.06 - 2.06. Let u = 1.7 + f. Which is the nearest to o? (a) 0.3 (b) -2 (c) u b Let g = 0.4 - 0.6. Let i(q) = -q**3 + 8*q**2 - 1. Let x be i(8). What is the closest to x in -1/3, g, 3? -1/3 Let d be (6/4 + -3)/(5 - 14). What is the nearest to 1 in 0, d, 8? d Let h be -2 - (-1012)/507 - 0. Let n = h - 393/338. Let t = -1/2 - n. Which is the nearest to -1/3? (a) 2/7 (b) t (c) -1 a Suppose 3*o = 5*h - 10, -2*o + 3*h + 0 = 6. What is the closest to 1 in -13, -0.5, o? o Let v = 2.05 + -2. Let m = v + 0.25. What is the closest to -2 in 0.2, 3, m? 0.2 Let x be 3/(11/(-4) + 2). What is the closest to -5 in 4, x, 5? x Let u(h) = -5*h**3 + 0*h**3 - h**2 + 1 + 15*h**3. Let r be u(-1). Let z be (5/r)/((-1)/(-2)). Which is the closest to -1? (a) 2 (b) -2/11 (c) z c Let o = -4 - -6. Let x = -1 - -0.6. Which is the closest to o? (a) -0.5 (b) x (c) -2/11 c Let x = -19 - -14. Let u = 12 + -11.6. Which is the nearest to 0.1? (a) -0.1 (b) x (c) u a Let j(v) = v**3 + 10*v**2 + 11*v + 13. Let o = 13 + -22. Let t be j(o). Let s = -28 - -85/3. Which is the closest to s? (a) t (b) -3 (c) -2/3 c Let r be 8/(-36) - (-82)/(-36). What is the nearest to 41 in r, 2/7, 4/3? 4/3 Let n be ((-1)/2)/(5/(-8)). Let t = -4/97 + 254/1455. Which is the nearest to 2? (a) 4 (b) n (c) t b Let d = -0.03 - -3.03. Suppose -5*o - 7*i + 20 = -2*i, 4*i = 3*o - 19. What is the closest to 0.1 in d, o, 0.5? 0.5 Suppose -v = i + 3, -5*i + 4*v = -4 + 46. Let n = -7 - -2. Let w be (n/i)/((-3)/(-9)). Which is the nearest to -0.1? (a) -5 (b) -2/7 (c) w b Let h be (2/6*0)/(-1). Let d be (-3)/5*(-4)/18. What is the closest to h in -0.4, d, 3? d Suppose -5*m + 5 = -0*m. Let g be (8/6 - 3) + m. Which is the nearest to 1/3? (a) 0.5 (b) -4 (c) g a Let s = 0.21 - 0.41. Which is the closest to -3? (a) 5 (b) s (c) 0.3 b Let k = 20 - 13. Let w be k + -9 - 8/(-5). Let r = -0.4 + 4.4. Which is the nearest to 1? (a) -4 (b) r (c) w c Let u = 126.2 + -126. What is the closest to 2/9 in -2/13, 1/4, u? u Suppose -8 = -8*r + 12*r. Which is the closest to -0.1? (a) -1/3 (b) -2/9 (c) r b Let m = -4.01 - -0.01. Let g = m - -3.9. Let u be 10/(-7) + (3 - 1). Which is the nearest to g? (a) 1/4 (b) 4 (c) u a Let j = 1.2 - 6.2. Let g = 0.1 - 0.3. What is the closest to g in 1, j, 2? 1 Let a = -1.3 + 0.9. What is the closest to -1 in a, -1/13, -1/2? -1/2 Let s = -0.44 - 0.06. Which is the nearest to 1? (a) 4 (b) 2/15 (c) s b Let w = 177 + -882/5. Let x = 0.45 - 30.45. Let i = x - -29.6. Which is the closest to -2/9? (a) w (b) 0.5 (c) i c Let t = 0.057 + -0.057. What is the nearest to t in -0.4, 19, -1/9? -1/9 Let h = -613/6 + 102. What is the nearest to 2/5 in -2/7, h, 3? h Let s = -0.14 + 5.14. What is the nearest to -1 in -1/6, -0.4, s? -0.4 Let b = -0.3 + 2.3. Let z be 0 - ((-10)/(-4))/(-5). What is the closest to z in b, 9, 2/17? 2/17 Let d(t) = t**3 + 4*t**2 + 2*t + 2. Let o be d(-3). Let s = 0.4 + -0.5. Which is the nearest to s? (a) 3 (b) 1 (c) o b Let j = 130 - 132. Let g = -0.2 - 0. What is the nearest to -1/2 in -2/7, g, j? -2/7 Let i = -4.51 - -0.51. Which is the closest to -1? (a) 1/3 (b) -1.5 (c) i b Suppose -p = -0*p + 5. Which is the closest to -3/4? (a) p (b) 0.2 (c) -4 b Let z = -4 + 0. Let y = 0 - z. Let h = -0.7 + 1. Which is the closest to 0.2? (a) y (b) h (c) 5 b Let f = 25.7 + -26. Let h = 0.7 + f. Which is the nearest to 0? (a) h (b) -3/5 (c) -3 a Let w = 0.031 - -0.169. Which is the closest to 2/11? (a) w (b) 4 (c) 3 a Let z = -44 + 171/4. Let m = -3.63 + -0.37. What is the closest to 1/2 in -0.4, z, m? -0.4 Let l = -24.7 + 26. Let h = 0.3 - l. Which is the nearest to -1/4? (a) -3 (b) -2 (c) h c Let i = 0 - 0.1. Let j = -3.98 - 0.02. Let z = -27/4 + 131/20. Which is the closest to i? (a) j (b) z (c) 1 b Let d = -4 + 5. Let m = 1 - -1.5. Let u = m + 0.5. Which is the nearest to u? (a) -3 (b) 4 (c) d b Let f = 0.09 + 0.41. Which is the nearest to 1? (a) -0.5 (b) 1 (c) f b Let y = 14 - 16. Let r = -6 + 5. Let g = 0.3 - 1.3. What is the closest to g in r, 0.2, y? r Let q = 0.4 + -0.4. Suppose -4*s = -2*s - 10. Let u = 12 - 8. Which is the closest to q? (a) u (b) 2/13 (c) s b Let v = -0.1 + -0.2. Let k = -215.9 + 216. What is the nearest to 2/5 in k, -2/5, v? k Suppose -2 = -5*i - 7. Which is the nea
{ "pile_set_name": "DM Mathematics" }
e factors of 281137288. 2, 61, 576101 List the prime factors of 233853928. 2, 7, 11, 379633 What are the prime factors of 4165748312? 2, 11, 4303459 What are the prime factors of 1321010456? 2, 10529, 15683 List the prime factors of 104162736. 2, 3, 1213, 1789 What are the prime factors of 1056246200? 2, 5, 1823, 2897 What are the prime factors of 1799455961? 1799455961 What are the prime factors of 18628068? 2, 3, 23, 67493 What are the prime factors of 237858538? 2, 118929269 What are the prime factors of 309114660? 2, 3, 5, 199, 25889 List the prime factors of 402454416. 2, 3, 7, 13, 199, 463 List the prime factors of 384290313. 3, 11, 157, 613 List the prime factors of 614430255. 3, 5, 1361, 30097 List the prime factors of 56548480. 2, 5, 149, 593 List the prime factors of 112519512. 2, 3, 7, 223253 List the prime factors of 2304342687. 3, 197, 3899057 What are the prime factors of 144464956? 2, 73, 494743 List the prime factors of 413848822. 2, 31, 107, 62383 List the prime factors of 93374939. 7, 37, 51503 List the prime factors of 495583225. 5, 4129, 4801 List the prime factors of 19593490. 2, 5, 7, 41, 6827 List the prime factors of 283269672. 2, 3, 7, 562043 What are the prime factors of 3622470410? 2, 5, 13, 71, 392467 What are the prime factors of 212878217? 212878217 What are the prime factors of 250026215? 5, 23, 2174141 What are the prime factors of 44167909? 311, 142019 List the prime factors of 9673508. 2, 13, 19, 9791 List the prime factors of 428212526. 2, 7, 233, 251, 523 What are the prime factors of 72503585? 5, 7, 11, 26903 List the prime factors of 294677701. 41, 101, 71161 What are the prime factors of 156208457? 229, 499, 1367 What are the prime factors of 1041336229? 1041336229 List the prime factors of 1203637693. 113, 10651661 List the prime factors of 82663086. 2, 3, 11, 941 What are the prime factors of 80118231? 3, 19, 1405583 List the prime factors of 3623316562. 2, 3137, 577513 What are the prime factors of 360916167? 3, 31, 37, 53, 1979 List the prime factors of 1509294385. 5, 23, 107, 173, 709 List the prime factors of 170330960. 2, 5, 281, 7577 List the prime factors of 219308089. 7, 11, 13, 19, 887 List the prime factors of 76274126. 2, 38137063 List the prime factors of 49130684. 2, 2777, 4423 List the prime factors of 5261974355. 5, 11, 53, 1805137 List the prime factors of 164717345. 5, 13, 941, 2693 List the prime factors of 28417373. 2467, 11519 List the prime factors of 134726369. 41, 61, 103, 523 What are the prime factors of 258327526? 2, 31, 1597, 2609 List the prime factors of 4205135898. 2, 3, 19, 151799 What are the prime factors of 4810543531? 163, 491, 60107 List the prime factors of 950644615. 5, 12919, 14717 What are the prime factors of 205606397? 205606397 List the prime factors of 5334755385. 3, 5, 41, 8674399 List the prime factors of 207182399. 207182399 What are the prime factors of 14884453? 29, 513257 List the prime factors of 358010769. 3, 17, 61, 115079 List the prime factors of 1064860658. 2, 13829, 38501 What are the prime factors of 943753926? 2, 3, 151, 1041671 List the prime factors of 184405924. 2, 97, 475273 What are the prime factors of 2875467185? 5, 575093437 List the prime factors of 1143702008. 2, 139, 1028509 What are the prime factors of 298078097? 523, 569939 What are the prime factors of 902577379? 11, 17, 1907, 2531 List the prime factors of 29502772. 2, 13, 61, 71, 131 List the prime factors of 554170654. 2, 277085327 What are the prime factors of 113745186? 2, 3, 6319177 List the prime factors of 19677518. 2, 7, 199, 1009 What are the prime factors of 70989959? 70989959 List the prime factors of 27747677. 27747677 List the prime factors of 440726681. 440726681 List the prime factors of 985733142. 2, 3, 29, 479, 11827 List the prime factors of 108916255. 5, 7, 271, 11483 List the prime factors of 64098128. 2, 4006133 What are the prime factors of 4243772862? 2, 3, 7, 33680737 What are the prime factors of 107113646? 2, 29, 109, 16943 List the prime factors of 7606152. 2, 3, 149, 709 What are the prime factors of 71141816? 2, 8892727 What are the prime factors of 1395946689? 3, 465315563 What are the prime factors of 32512778? 2, 3011, 5399 List the prime factors of 882551264. 2, 7, 43, 59, 1553 List the prime factors of 2220503845. 5, 7, 9063281 List the prime factors of 496056468. 2, 3, 53, 409, 1907 List the prime factors of 125275451. 7, 37, 101, 4789 What are the prime factors of 38813913? 3, 4312657 List the prime factors of 14154504. 2, 3, 7, 13, 6481 What are the prime factors of 3939647? 23, 103, 1663 What are the prime factors of 46769702? 2, 7, 37, 90289 List the prime factors of 79713329. 79713329 What are the prime factors of 2835234853? 11, 19, 37, 33331 What are the prime factors of 2092601701? 2092601701 List the prime factors of 663863152. 2, 983, 42209 What are the prime factors of 381235686? 2, 3, 13, 4887637 List the prime factors of 3335297797. 13, 2011, 127579 What are the prime factors of 126253178? 2, 63126589 What are the prime factors of 89098117? 89098117 What are the prime factors of 1400273399? 7, 37, 229, 23609 What are the prime factors of 91656547? 151, 606997 List the prime factors of 469671085. 5, 13, 7225709 List the prime factors of 70255648. 2, 79, 27791 What are the prime factors of 905652060? 2, 3, 5, 113, 223, 599 List the prime factors of 3031513. 157, 19309 List the prime factors of 1439851274. 2, 19, 37890823 What are the prime factors of 719685011? 991, 726221 List the prime factors of 935763918. 2, 3, 155960653 List the prime factors of 135490259. 547, 247697 List the prime factors of 11112540. 2, 3, 5, 89, 2081 What are the prime factors of 21042074? 2, 401, 26237 List the prime factors of 1404033427. 1404033427 List the prime factors of 1839543615. 3, 5, 7, 13, 19, 37, 71 What are the prime factors of 2228862? 2, 3, 43, 53, 163 What are the prime factors of 734472893? 7, 11, 41, 83, 2803 List the prime factors of 181852281. 3, 13, 17, 541 What are the prime factors of 3882048712? 2, 139, 3491051 List the prime factors of 298619293. 7, 29, 1471031 What are the prime factors of 616628204? 2, 19, 8113529 What are the prime factors of 9036807? 3, 13, 139, 1667 List the prime factors of 98879555. 5, 701, 28211 List the prime factors of 28868556. 2, 3, 317, 7589 What are the prime factors of 5459604? 2, 3, 454967 What are the prime factors of 47602436? 2, 7, 1700087 List the prime factors of 51320305. 5, 10264061 List the prime factors of 668961932. 2, 193, 653, 1327 What are the prime factors of 3078516329? 7, 43, 10227629 List the prime factors of 96301177. 7, 19, 67, 101, 107 List the prime factors of 237575618. 2, 7, 2424241 What are the prime factors of 774981030? 2, 3, 5, 25832701 What are the prime factors of 5633885297? 5633885297 What are the prime factors of 248562308? 2, 151, 411527 List the prime factors of 1775663661. 3, 591887887 What are the prime factors of 115098113? 13, 157, 56393 List the prime factors of 7924342598. 2, 47, 84301517 List the prime factors of 159311305. 5, 311, 102451 What are the prime factors of 67301649? 3, 7477961 What are the prime factors of 587164961? 19, 107, 288817 List the prime factors of 14950166. 2, 7, 11, 193, 503 List the prime factors of 844994755. 5, 11, 59, 260399 What are the prime factors of 285068546? 2, 7, 17, 1197767 List the prime factors of 5712627086. 2, 113, 1151, 21961 What are the prime factors of 59519402? 2, 29759701 What are the prime factors of 594036108? 2, 3, 16501003 What are the prime factors of 3812935974? 2, 3, 937, 678217 List the prime factors of 665095504. 2, 101, 411569 What are the prime factors of 5294064698? 2, 13, 23, 8852951 What are the prime factors of 5997803059? 34253, 175103 List the prime factors of 208707547. 5113, 40819 List the prime factors of 136853703. 3, 7, 23, 94447 What are the prime factors of 524059421? 5081, 103141 What are the prime factors of 8055841818? 2, 3, 1342640303 What are the prime factors of 2000654670? 2, 3, 5, 7, 109, 87403 What are the prime factors of 1046694800? 2, 5, 19, 137723 What are the prime factors of 765472126? 2, 382736063 What are the prime factors of 1742052072? 2, 3, 72585503 List the prime fa
{ "pile_set_name": "DM Mathematics" }
en h is divided by 5 + -1 + 2 + -2. 1 Let y = -42 + 42. Suppose -4*x - 148 = -2*n, y*n = 4*n - x - 268. What is the remainder when n is divided by 23? 20 Suppose -p - 3 = 3*j, -3*p = -3*j - 29 + 2. Calculate the remainder when 11 is divided by p. 5 Suppose -24*j = j - 46850. What is the remainder when j is divided by 14? 12 Let v be -5*2/(-50) + (-46)/5. Calculate the remainder when 58 is divided by (-183)/v + (1/(-3))/1. 18 Suppose 0 = 4*w - 8*w + 72. Calculate the remainder when 21 is divided by ((-22)/(-3))/(12/w). 10 Let z(p) = p**3 + 24*p**2 - 257*p + 14. Calculate the remainder when -3 - -2 - 40/(-1) is divided by z(8). 3 Let c(x) be the first derivative of x**3/3 - 5*x**2 + 14*x - 2. Let n = -254 + 266. What is the remainder when c(n) is divided by 14? 10 Let f(p) = -p**3 - 16*p**2 - 14*p + 12. Let q be f(-14). Let r = q - -324. What is the remainder when r is divided by 36? 32 Let t(p) = 5*p - 2. Let n be t(2). Suppose 0 = 3*l + o - 31 + n, 0 = -5*l + o + 25. What is the remainder when 16 is divided by l? 4 Suppose 4*v + 13 = -2*l + 5*l, -4*l + 5*v + 17 = 0. Suppose -l*g + 82 = -5*g. Let y = -29 - g. What is the remainder when 21 is divided by y? 9 Suppose 5*o + 119 = 314. What is the remainder when o/(-52) - 406/(-8) is divided by 13? 11 Suppose -2 = -f + 20. Calculate the remainder when 71 is divided by f. 5 Suppose 0 = 3*j - 13 + 10. What is the remainder when 5 is divided by j? 0 Suppose -1305 = 1150*x - 1159*x. What is the remainder when x is divided by 49? 47 Suppose -5*v = -0*h + h - 41, -h + 25 = 3*v. Suppose 9 - 45 = -4*a. Calculate the remainder when ((-4)/v + 3)*6 is divided by a. 6 What is the remainder when 32 + -3 + 4 + -8 is divided by 2? 1 Let l = -39 + 75. Calculate the remainder when l is divided by (-1)/3 + 62/6. 6 Let o(n) = 17*n + 5. Calculate the remainder when o(5) is divided by 7. 6 Let d = 105 + -52. Let b = 30 - 34. Let l = b - -15. What is the remainder when d is divided by l? 9 Let f = -37 - -52. Suppose 9*b = 558 + 225. What is the remainder when b is divided by f? 12 Suppose -2*p - 2*j + 94 = 0, -24 + 283 = 5*p - 3*j. Suppose -o - z + 21 = 0, 10*o = 5*o + z + 87. What is the remainder when p is divided by o? 14 Let m(h) = -5*h**3 - 25*h**2 + 3*h + 8. Let d(n) = 4*n**3 + 24*n**2 - 2*n - 9. Let q(p) = -4*d(p) - 3*m(p). What is the remainder when q(-21) is divided by 18? 15 Let i be (-5 - -6)*(-2 + 0 - -1). Let c(u) = 69*u**2 + 2*u + 3. What is the remainder when c(i) is divided by 18? 16 Suppose 1632 = -0*r + 24*r. Calculate the remainder when r is divided by 26. 16 Suppose -36*n = -53*n + 238. What is the remainder when 53 is divided by n? 11 Let h(b) = -b**3 - 14*b**2 - 16*b - 5. Let a(n) = -n**3 + 8*n**2 - 6*n + 9. Let c be a(7). Let s = c - 29. What is the remainder when h(s) is divided by 7? 6 Suppose -6*m = -17*m + 176. What is the remainder when 315 is divided by m? 11 Suppose -5*t = -18*f + 21*f - 506, t + 890 = 5*f. What is the remainder when f is divided by 45? 42 Suppose 36 - 4 = 4*r. Let b be -3 - -2*20/r. Suppose -2*p + 4*w = -4, 7 = p + 5*w - b*w. What is the remainder when 6 is divided by p? 2 Suppose -12*z + 3*z + 252 = 0. Calculate the remainder when 977 is divided by z. 25 Suppose 10*y - 1400 = 250. Suppose -7*t - 122 = -z - 4*t, 4*z = 5*t + 460. Let c = y - z. Calculate the remainder when c is divided by 14. 13 Let c = 483 - 206. What is the remainder when c is divided by 10? 7 What is the remainder when 702 is divided by (1/(-3))/(42/(-4662))? 36 Let k(x) = 3*x**2 + 10*x + 6. Suppose 5*t - 3*z - 67 = -0, -5*z = 2*t - 2. Calculate the remainder when k(-6) is divided by t. 10 Suppose -36 = -4*f - 3*g, 5*f - 33 - 12 = -g. Calculate the remainder when (-230)/(-5) - (0 + 3) is divided by f. 7 Suppose 65 = 11*t - 45. What is the remainder when 25 is divided by t? 5 Let x = 218 - 95. What is the remainder when x is divided by 26? 19 Let g(b) = -b - 2. Let f be g(0). Let z = -250 - -202. What is the remainder when (-3)/f*(-64)/z is divided by 1? 0 Suppose -4*s - 7 - 41 = 4*x, 5*s - 90 = 5*x. Suppose 15 = -5*o - 5*p + 45, -3*o = p - 12. What is the remainder when 3/((-36)/8)*x is divided by o? 1 Let q(a) = a**3 + 14*a**2 + 38*a - 13. Calculate the remainder when q(-9) is divided by 48. 2 What is the remainder when 302 is divided by 10/((-4)/(-2)) + 46? 47 Let n(j) = j**3 - 11*j**2 + 11*j + 12. Suppose 3*z + 2 = 4*k + 28, 2*k - 2 = 0. Calculate the remainder when n(z) is divided by -15*2*(-4)/10. 10 Let h = -5 - -9. Let p(x) = x**3 - 6*x**2 - 25*x - 8. Let o = -115 - -124. What is the remainder when p(o) is divided by h? 2 Let r be (-189)/(-18) - 1/2. Let b = -68 + 79. What is the remainder when b is divided by 14/35 + 36/r? 3 Let n(g) = -4*g + 5*g - 8*g + g**2. Suppose -h = 5*z - 9, -203 = -5*h - 4*z - 53. Calculate the remainder when h is divided by n(9). 16 Let p(x) be the second derivative of -x**3/3 - 8*x**2 + 14*x. What is the remainder when 110 is divided by p(-16)? 14 Let n be -4 + 1 - (-20)/5. Calculate the remainder when 38 + n + 2/(-1) is divided by 20. 17 Let u(r) = 39*r - 4. Let p(v) = v**2 - 2*v + 2. Let s be p(4). Suppose 4*x = -x + s. Calculate the remainder when u(x) is divided by 19. 17 Suppose 3*o - 41 = -5*w, 0*w + 4 = w + 2*o. Calculate the remainder when 188 is divided by w. 8 What is the remainder when (11 + 1)/(4/6) is divided by -3*16/(-216) + (-43)/(-9)? 3 Suppose -3*s - 4*m = -242, 434 = -4*s + 9*s - m. Calculate the remainder when s is divided by 11. 9 Calculate the remainder when (496/(-40))/(4/(-30)) is divided by 14. 9 Let h = -71 + 122. Suppose 25*p - h = 24*p. What is the remainder when p is divided by 20? 11 Let b(m) = -m**2 + 11*m + 12. Calculate the remainder when 140 is divided by b(11). 8 Suppose -3*w - 5*z = -98, 4*w = -5*z + 96 + 33. Calculate the remainder when 42 is divided by w. 11 Let q = 3139 - 3130. What is the remainder when 136 is divided by q? 1 Suppose -5*s - 5*b = -6*b - 970, -2*s - 8*b + 430 = 0. Calculate the remainder when s is divided by 48 - (-1 + 0)*1. 48 Let i(u) = 7*u**2 + 4*u + 13. What is the remainder when 127 is divided by i(-2)? 28 Suppose 20*r = -4*t + 15*r + 122, 0 = 2*t - 4*r - 74. Calculate the remainder when 100 is divided by t. 1 Suppose 31*h - 8173 - 4072 = 0. Calculate the remainder when h is divided by 44. 43 Suppose 10 + 33 = -3*f - j, -3*f + j - 41 = 0. Let h = 55 + f. Calculate the remainder when h is divided by 14. 13 Suppose -4*d + 1 - 11 = -2*w, -2*d = 0. What is the remainder when 9 is divided by w? 4 Let p = 7 - 3. Suppose 3*x = p*x. Suppose 5*o + 5*f - 295 = x, 5*o - 93 = 5*f + 242. Calculate the remainder when o is divided by 16. 15 Suppose 69*r - 64*r = 505. Suppose 5 = -2*q + 47. What is the remainder when r is divided by q? 17 Let d(k) = -12*k + 8. Let x be d(-5). Let t = x + -26. What is the remainder when t is divided by 15? 12 Let p = 16 - 13. Suppose -p*b - 4*i = -0*i - 50, i + 5 = b. Calculate the remainder when 29 is divided by b. 9 Suppose -2893 + 2620 = -13*d. What is the remainder when 1846 is divided by d? 19 Let i(b) be the first derivative of b**3/3 - 5*b**2 + 17*b + 48. Calculate the remainder when i(12) is divided by 7. 6 Suppose 2*y - 4*g - 1 = g, 0 = -3*y + 5*g - 1. Let w = 513 - 289. Calculate the remainder when 55 is divided by (w/(-12))/(y/3). 27 Let l(f) = 10*f**2 - 5*f - 2. Calculate the remainder when 86 is divided by l(-1). 8 Let d(q) = -5 - 11 + 2 + 2*q. Calculate the remainder when d(16) is divided by 11. 7 Let h = 139 + -94. Suppose -2*g - 17 = -h. Let o(r) = -r**3 + 11*r**2 - 6*r + 12. What is the remainder when o(10) is divided by g? 10 Let k = 240 - 75. What is the remainder when k is divided by 28? 25 Let t = 255 - 144. What is the remainder when t is divided by 19? 16 Let y(d) be the third derivative of 7*d**6/120 + d**5/60 - 3*d**2. Calculate the remainder when y(1) is divided by 2. 0 Let h = -369 - -394. What is the remainder when h is divided by 19? 6 Let h be (2/(-5))/(1/(-10)). Let k be ((-14)/21)/((-4)/42). Suppose -20 = -h*d, 2*q + k*d = 4*d + 205. Calculate the remainder when q is divided by 32. 31 Suppose -322 = 13*g - 2324. What is the remainder when g is divided by 23? 16 Calculate the remainder when 81 is divided by (121 - -3)*(-4)/(-16). 19 Let q(f) = 14*f**3 - f**2
{ "pile_set_name": "DM Mathematics" }
s to five dps. 0.00006 Let f be (2/2)/(5/139903765). Let w = -52780753 + f. What is w rounded to the nearest 1000000? -25000000 Let r = 7.4 - 3.8. Round r to the nearest integer. 4 Let h = 978 - -180. Suppose -308 = -5*j - h. What is j rounded to the nearest one hundred? -200 Let u be 3 + 4555021 + 3/(-1). Suppose 7844979 = 5*g - u. What is g rounded to the nearest one hundred thousand? 2500000 Suppose 0 = -2*r + 5*y + 1111, -5*r + y = -y - 2830. Suppose -2*k - 1 + 5 = 0. Suppose -k*q - 2248 = -r. Round q to the nearest one hundred. -800 Let l = 18.4 + -22.28. Let d = l - 0.32. Let q = -2 + d. Round q to zero dps. -6 Let f = -12 - -6. Let u = -6.000001 - f. Round u to 5 decimal places. 0 Let o = -8 - -23. Let f = o + -15.42. Round f to one dp. -0.4 Let q = -24.2 - -0.2. Let k = -19.3 - q. Let r = k + -4.7103. What is r rounded to three decimal places? -0.01 Let w = -2 - 0. Let s = 0 - w. Let m = 1.949 - s. Round m to two dps. -0.05 Let z = 54 + -53.999971. Round z to 5 decimal places. 0.00003 Suppose 9 - 1 = 4*n. Suppose 5*m - 175000 = j, -n*j - 57633 = 5*m - 232633. What is m rounded to the nearest 10000? 40000 Suppose x + 60 = 154. Let b be 438/3 - (1 - 1). Suppose 4*c - x - b = 0. What is c rounded to the nearest one hundred? 100 Let r = 13.3 - 2.3. Let p = r + -11.00007. What is p rounded to four decimal places? -0.0001 Suppose -5*c = -3*n + 716, 0 = -4*c - 0*n - 3*n - 562. Let q = 27 + c. Let u = q - -180. Round u to the nearest ten. 70 Let k = -0.004 + 0.0039926. Round k to six decimal places. -0.000007 Let s = -15.3 + 16. Let m = s + 0.3. Let v = 0.88 - m. Round v to 1 decimal place. -0.1 Let l = -0.012 - -5.412. What is l rounded to the nearest integer? 5 Let v = -34.31 - -0.31. Let t = -34.0000065 - v. What is t rounded to six dps? -0.000007 Let z(s) be the second derivative of 0 - 21/4*s**4 - 1/2*s**3 - 2*s**2 - 2*s. Let l be z(-4). What is l rounded to the nearest ten thousand? 0 Let w = 1.228 - -0.282. What is w rounded to 1 dp? 1.5 Let j = -43 + 41. Round j to zero decimal places. -2 Let n = 1.8 - 1.8005. Round n to four decimal places. -0.0005 Suppose 15 = -0*a + 3*a. Suppose -2550006 = -a*w + 2*m, -3*m = -7*w + 2*w + 2550009. What is w rounded to the nearest one hundred thousand? 500000 Let c = 2 + -9. Let n = c - 32. Let h = 39.76 + n. What is h rounded to one dp? 0.8 Let u = -0.76 + 0.642. Let o = u - -0.1131. Round o to 3 dps. -0.005 Let j(k) = 2*k**3 + 9*k**2 + k + 10. Suppose 2*r - 8 = -2*r, 5*r = -2*h - 10. Let a be j(h). What is a rounded to the nearest one thousand? -1000 Let p = 1.425 + -1.4. Let d = p + -0.02500058. What is d rounded to 7 dps? -0.0000006 Let o(w) = -7*w**3 + w**2 + 11*w - 10. Let s be o(7). Let p = s - -1005. Round p to the nearest one hundred. -1300 Let b = -133 - -1362. Let q = b + -611. Suppose 2*n - 2*g + g = -q, g - 928 = 3*n. What is n rounded to the nearest one hundred? -300 Let m = -4623189.98199926 - -4623256.982. Let b = -66.07 - 0.93. Let a = m + b. What is a rounded to 7 dps? 0.0000007 Let g(d) = -13*d**3 - 2*d**2 - 4*d - 1. Let b be g(-3). Let l be 1*500*b*25. Suppose -i - l = 4*i. Round i to the nearest one hundred thousand. -900000 Let m = 19 - 0. Let n = 19.00000038 - m. What is n rounded to seven dps? 0.0000004 Let f = -4.01 - -25.2. Let k = f - 21. Let y = k + -3.59. Round y to 0 dps. -3 Suppose -57355 = -2*z + 24645. Round z to the nearest 10000. 40000 Let r = 4 + -2. Let q = 1.97 - r. Round q to two dps. -0.03 Let i = -1.8 - -2.5. Let g = -0.67 + i. Let a = g + -0.0300006. Round a to seven dps. -0.0000006 Let p = 34 - 34.12. Round p to one dp. -0.1 Let x = -8.37 - -13.2. Let o = 0.23 - x. What is o rounded to the nearest integer? -5 Let g = 0.084 - 0.06. What is g rounded to two dps? 0.02 Let j = -0.19 - -0.32. Let v = 0.1309 - j. What is v rounded to 3 decimal places? 0.001 Let a be (-36)/(-14) + (-9)/(-21). Suppose -y + 1548 = -6*y + f, 0 = -a*y - f - 932. What is y rounded to the nearest 100? -300 Let x = -9.726 + 9.7. What is x rounded to 3 decimal places? -0.026 Let t = -191497220.3 + 191709531.29997. Let o = t + -212318. Let w = o + 7. Round w to five dps. -0.00003 Let z = -78 - -2810. Let g = 1532 - z. Round g to the nearest 1000. -1000 Suppose -4*a = a. Let g be 1*(a - 115*-4). Round g to the nearest 100. 500 Let o = -94.836 - -95. What is o rounded to two dps? 0.16 Let j = -96.4 - -119. What is j rounded to the nearest integer? 23 Let n = 0.7 + -0.73. Let y = n - -0.03000025. Round y to seven decimal places. 0.0000003 Let a = 2.54 - 0.04. Let d = a - 0.8. What is d rounded to the nearest integer? 2 Let r = 0.010477 + -5.010476. Let d = r + 5. What is d rounded to five dps? 0 Suppose -7*n = -3*n + 12. Let y = n - -6. Suppose -q - 11999997 = 2*z + z, z = y*q - 4000009. Round z to the nearest 1000000. -4000000 Let r = -17 + 19.3. Let f = r + -0.7. What is f rounded to zero dps? 2 Let y = 0.31 + -2.91. What is y rounded to 0 dps? -3 Let w = 9 - 8.6. Let j = w + -0.3986. Round j to three dps. 0.001 Let k = -1.16 + 1.43. Round k to 2 decimal places. 0.27 Suppose -3*d - 2*u + u = -138, -5*d - 3*u = -226. Let m = -4 + 6. Let f be d + 2 + m/(-1). Round f to the nearest 10. 50 Let o = -0.42 + 0.4203. What is o rounded to three dps? 0 Let k = -29 - 34. Let m = 28288 + -28350.892. Let w = k - m. What is w rounded to two dps? -0.11 Let f(u) = -107167*u**3 - 3*u**2 - 2*u - 3. Let n be f(-2). Let s = n + -1487325. Round s to the nearest one hundred thousand. -600000 Let n = -18.038 + 18. Let k = -14128.962092 - -14129. Let d = n + k. What is d rounded to 5 dps? -0.00009 Let p = 12 + 6. Let a = p - -2. Suppose 0*s + 17975 = 3*s + 5*b, -a = 4*b. Round s to the nearest one thousand. 6000 Let b = -0.2 - -0.2. Let n = 0 + b. Let p = n - -0.04. What is p rounded to 1 decimal place? 0 Let l = 1.323371 - 312.374971. Let f = -311 - l. Let t = 0.06 - f. Round t to 3 decimal places. 0.008 Let u(c) = c**3 + 2*c**2 - 1. Let a be u(1). Suppose 0 = -6*l + a*l - 54800000. Round l to the nearest one million. -14000000 Let r = -18889549.000033 - -18889490. Let b = -59 - r. What is b rounded to 5 dps? 0.00003 Let l = 0.12 - 6.12. Let g = 6.28 + -12.236. Let i = l - g. What is i rounded to 2 dps? -0.04 Let j be (0 + -34)*(325 + -25). Round j to the nearest ten thousand. -10000 Let f(n) be the second derivative of -n**3 + 3*n + 0 + 0*n**2 + 1109/20*n**5 + 1/4*n**4. Let r be f(4). Round r to the nearest ten thousand. 70000 Let u = -480.9999773 - -481. Round u to 5 dps. 0.00002 Let c be (3/(-5))/((-1)/5). Suppose c*k + 0 + 3 = 0. Let x be (0 - 50/k)*-140. What is x rounded to the nearest one thousand? -7000 Suppose -5*x + 2*x = -21. Let a(j) = 20*j. Let z be a(x). What is z rounded to the nearest one hundred? 100 Let b = -1223.00088 + 1229. Let s = -6 + b. What is s rounded to four dps? -0.0009 Let q(g) = 6*g - 2. Let b be q(1). Let o be (214 - 2)*625*b. What is o rounded to the nearest 100000? 500000 Let d = -2088983 + 1450359. Let v = d + 418927. Let c be v*(3 - -63) + 2. Round c to the nearest 1000000. -15000000 Let g(m) = 63*m**3 - 5*m**2 + m + 5. Suppose 4*t + 4*n = n - 15, 3*t - 2*n = -7. Let c(f) = 3*f + 4. Let v be c(t). Let j be g(v). Round j to the nearest 10000. -10000 Let g = 0.41 - 0.01. Let b = 0.2 - g. Let w = b - -0.2008. What is w rounded to 3 dps? 0.001 Let o = 8 + -8.00006. Round o to five dps. -0.00006 Let n be (-49176)/33 + 4/22. Round n to the nearest 100. -1500 Let a = 0.15 + 7.85. Let x = a + -7.9999982. Round x to six dps. 0.000002 Suppose 3*s + 2*l = -s + 10400008, -5199996 = -2*s + l. What is s rounded to the nearest 1000000? 3000000 Let o = 32 + -21. Let b = -2 + o. Let r = -9.0068 + b. What is r rounded to 3 decimal places? -0.007 Let p = 562.473 + -562. What is p rounded to two decimal places? 0.47 Let k = -25952 - -14852. What is k rounded to the nearest one thousand? -11000 Suppose 50998290 = 3*d + 2*d. Let a be (-3 - -6) + (-7399322)/2. Let u = d + a. Round u to the nearest 1000000. 7000000 Let u = -48139.7100012 - -48139.8. Let o = 0.09 - u. What is o rounded to six dps? 0.000001 Let n be 14/4 - (-3)/6. Suppose -2*u = -y + 5100006, -5*y - u + 25500009 = -n*u. What is y rounded to the nearest 1000000? 5000000 Let m(a) = 2*a**2 + 2*a - 6. Let o be m(7). Let u be (924/(-8))/
{ "pile_set_name": "DM Mathematics" }
d 2 r when four letters picked without replacement from {t: 7, l: 1, a: 2, r: 4, f: 6}. 12/1615 What is prob of picking 2 y when two letters picked without replacement from uyyu? 1/6 Four letters picked without replacement from {f: 7, y: 5, z: 8}. What is prob of picking 1 z and 3 f? 56/969 What is prob of picking 1 r and 1 s when two letters picked without replacement from {s: 1, x: 2, y: 1, r: 3}? 1/7 Two letters picked without replacement from otohhoooooqooq. Give prob of picking 1 o and 1 h. 18/91 Two letters picked without replacement from {l: 14, k: 1, s: 1}. What is prob of picking 1 k and 1 l? 7/60 Calculate prob of picking 2 a and 1 q when three letters picked without replacement from apaapuaapqaanaavaa. 55/816 What is prob of picking 1 m and 1 c when two letters picked without replacement from fmmmtsffcftl? 1/22 Two letters picked without replacement from {l: 1, n: 2, c: 1, y: 1, m: 2, x: 1}. What is prob of picking 1 c and 1 y? 1/28 Two letters picked without replacement from {k: 1, v: 1, e: 2, a: 1, n: 1, z: 2}. Give prob of picking 1 n and 1 z. 1/14 What is prob of picking 1 z and 1 s when two letters picked without replacement from iszcciizzc? 1/15 What is prob of picking 2 g and 1 i when three letters picked without replacement from fgmfgfiffmggflz? 6/455 Two letters picked without replacement from wxwwxww. Give prob of picking 1 w and 1 x. 10/21 Calculate prob of picking 2 v when two letters picked without replacement from {f: 1, h: 12, v: 3}. 1/40 Calculate prob of picking 3 w and 1 n when four letters picked without replacement from {z: 3, n: 1, w: 3}. 1/35 Two letters picked without replacement from {n: 8, i: 2, m: 2, o: 2}. What is prob of picking 2 n? 4/13 Two letters picked without replacement from {v: 4, k: 9, y: 3, d: 4}. Give prob of picking 1 y and 1 v. 6/95 Two letters picked without replacement from {l: 1, s: 1, y: 4, m: 2}. What is prob of picking 1 y and 1 l? 1/7 Calculate prob of picking 1 l and 1 p when two letters picked without replacement from kkklkkkepkkelpppl. 3/34 Two letters picked without replacement from {q: 2, g: 1, a: 2, z: 1, b: 1, j: 1}. Give prob of picking 1 q and 1 g. 1/14 Four letters picked without replacement from bffffbbbfbbfb. What is prob of picking 4 f? 3/143 Calculate prob of picking 1 d and 1 b when two letters picked without replacement from wwbddwbwbbbdb. 3/13 Two letters picked without replacement from {m: 4, u: 2}. Give prob of picking 1 m and 1 u. 8/15 Calculate prob of picking 2 s when two letters picked without replacement from {t: 3, z: 2, f: 2, c: 1, s: 4, v: 6}. 2/51 Calculate prob of picking 2 d when two letters picked without replacement from pddpdddddpdddd. 55/91 What is prob of picking 1 y and 1 v when two letters picked without replacement from {y: 3, v: 4}? 4/7 Two letters picked without replacement from jjjjjjpjpjjppj. What is prob of picking 1 p and 1 j? 40/91 Three letters picked without replacement from {u: 2, i: 1}. Give prob of picking 3 i. 0 Calculate prob of picking 2 n and 1 w when three letters picked without replacement from wfnnf. 1/10 What is prob of picking 4 m when four letters picked without replacement from {g: 7, m: 7}? 5/143 What is prob of picking 1 n and 1 i when two letters picked without replacement from ininnqqinniiii? 5/13 Four letters picked without replacement from yoonxnxnxngnyynnxog. What is prob of picking 1 o, 2 x, and 1 n? 21/646 Four letters picked without replacement from ruqpqmmpssprsm. What is prob of picking 2 s and 2 q? 3/1001 Four letters picked without replacement from mamam. Give prob of picking 1 a and 3 m. 2/5 Calculate prob of picking 3 w when three letters picked without replacement from wnwywdy. 1/35 Calculate prob of picking 1 h and 1 i when two letters picked without replacement from ihhqgpg. 2/21 Calculate prob of picking 3 e when three letters picked without replacement from {k: 4, e: 4, h: 2, s: 2, o: 1, v: 2}. 4/455 What is prob of picking 3 i when three letters picked without replacement from {x: 5, i: 7}? 7/44 What is prob of picking 1 y, 1 l, and 1 f when three letters picked without replacement from {y: 2, a: 1, f: 5, l: 8, x: 3}? 80/969 Four letters picked without replacement from xiiiiiiiiiiixx. Give prob of picking 4 i. 30/91 Calculate prob of picking 1 k and 1 t when two letters picked without replacement from {t: 1, v: 1, f: 1, k: 5, c: 6}. 5/91 Four letters picked without replacement from sssoosos. What is prob of picking 1 o and 3 s? 3/7 Calculate prob of picking 2 d and 2 s when four letters picked without replacement from {p: 1, d: 3, h: 1, s: 2}. 3/35 What is prob of picking 2 n and 2 b when four letters picked without replacement from nnbbn? 3/5 Two letters picked without replacement from {s: 2, t: 5, j: 2, k: 2, r: 1, q: 5}. Give prob of picking 2 j. 1/136 Three letters picked without replacement from ufkmffk. Give prob of picking 1 m, 1 k, and 1 u. 2/35 Two letters picked without replacement from plllglglgf. What is prob of picking 1 p and 1 f? 1/45 Three letters picked without replacement from vrouuvuuuuuo. Give prob of picking 1 u, 1 v, and 1 r. 7/110 What is prob of picking 1 d and 1 o when two letters picked without replacement from fjjddfjoddoedd? 12/91 Two letters picked without replacement from {q: 1, b: 1, x: 1}. What is prob of picking 1 x and 1 q? 1/3 Two letters picked without replacement from eeotottofeeototo. What is prob of picking 1 e and 1 t? 1/6 Three letters picked without replacement from {g: 2, b: 3, j: 8, a: 6}. Give prob of picking 3 j. 56/969 What is prob of picking 3 c when three letters picked without replacement from ccscsscsccsccccccc? 143/408 Three letters picked without replacement from {h: 1, q: 2, c: 2, l: 1, k: 1, i: 1}. What is prob of picking 1 h, 1 q, and 1 c? 1/14 Calculate prob of picking 1 l and 1 v when two letters picked without replacement from {r: 1, v: 3, d: 2, i: 2, l: 5, b: 6}. 5/57 Two letters picked without replacement from nnddn. What is prob of picking 2 n? 3/10 What is prob of picking 2 y when two letters picked without replacement from {y: 10}? 1 Two letters picked without replacement from {g: 1, q: 1, b: 1}. What is prob of picking 2 q? 0 Four letters picked without replacement from qwqjbddqbbqwqbq. Give prob of picking 1 b, 2 q, and 1 d. 8/91 What is prob of picking 1 i and 2 l when three letters picked without replacement from {i: 1, l: 19}? 3/20 Three letters picked without replacement from iibbbbbwibibibbwii. Give prob of picking 2 b and 1 w. 3/34 Four letters picked without replacement from czzzcczzccccczcz. What is prob of picking 1 z and 3 c? 21/65 Four letters picked without replacement from {x: 9, j: 6, t: 2}. What is prob of picking 3 j and 1 x? 9/119 What is prob of picking 1 k and 2 t when three letters picked without replacement from tkktkttkktkkkkkk? 11/56 What is prob of picking 1 m, 1 x, 1 y, and 1 l when four letters picked without replacement from {x: 2, l: 2, y: 5, p: 2, v: 1, m: 1}? 4/143 Three letters picked without replacement from {w: 2, b: 1, d: 2, r: 1, j: 1, s: 2}. What is prob of picking 1 d, 1 w, and 1 j? 1/21 What is prob of picking 2 m and 1 g when three letters picked without replacement from {c: 1, g: 4, o: 2, m: 4, i: 7}? 1/34 What is prob of picking 1 x and 2 t when three letters picked without replacement from {g: 1, f: 6, t: 7, x: 4}? 7/68 Calculate prob of picking 2 s when two letters picked without replacement from tttttttstttttttttsst. 3/190 Calculate prob of picking 2 v and 1 x when three letters picked without replacement from rqhxqvrv. 1/56 Three letters picked without replacement from {d: 10, g: 1, s: 2, w: 1, x: 5, b: 1}. What is prob of picking 1 d, 1 g, and 1 s? 1/57 Two letters picked without replacement from {s: 1, z: 6, f: 2, h: 1, t: 5}. Give prob of picking 1 f and 1 z. 4/35 What is prob of picking 1 w and 1 l when two letters picked without replacement from hxlxxxxwl? 1/18 Four letters picked without replacement from ududuumhmmououuuh. What is prob of picking 1 o, 1 d, 1 h, and 1 m? 6/595 Two letters picked without replacement from dvvnnnnttnyv. What is prob of picking 1 v and 1 d? 1/22 Four letters picked without replacement from ahahhahhhhhhah. Give prob of picking 4 h. 30/143 Calculate prob of
{ "pile_set_name": "DM Mathematics" }
se Does 22 divide 106/(8/6*177/12626)? False Let o(r) be the third derivative of 11*r**5/60 + r**4/6 + 5*r**3/6 - r**2. Let i be (-237)/81 - ((-4)/(-22) - 640/5940). Is o(i) a multiple of 19? False Let j(y) = -y**2 - 6*y - 8. Let m be (-296)/36 - -5 - 4/(-18). Let v be j(m). Is 13 a factor of (25 - 26)/(v/(-169))? True Let s(w) = 63*w**2 - 8*w + 4. Let d be s(-4). Suppose -2*f + d = -2*q, 4*q + 8 = -8. Is f a multiple of 58? False Let i = 246 + -138. Let q = 58 - i. Let z = -41 - q. Does 4 divide z? False Suppose 0 = -79*o + 76*o + 1089. Suppose 4*f - 2*m - 1446 = 0, -3*f + 1444 - o = -5*m. Is f a multiple of 26? False Let z(b) = b**2 + 13*b - 10. Let i be z(5). Let p = -47 + i. Suppose 0 = -30*v + p*v - 216. Does 10 divide v? False Suppose -13*g - 8*g + 42628 = -37004. Does 12 divide g? True Suppose -1 = 5*q - 11. Let t be (-19)/(-2) + (-7)/2. Is 7 a factor of ((-2680)/t)/(-4) + q/6? True Let z be (6/(-2))/((-3)/225). Suppose 19*o + 13*o = -0*o. Suppose o*g = -3*g + z. Is g a multiple of 8? False Let j(r) = -2*r + 97. Let w(n) = -n + 65. Suppose -10*i = -7*i - 15. Let k(x) = i*j(x) - 8*w(x). Is 2 a factor of k(-23)? False Let m(r) = -540*r + 3994. Does 14 divide m(-66)? True Is (8/40 + 7 - 0)*390 a multiple of 54? True Let t(b) = 67*b - 13 + 35*b - 7*b + 9 - 13. Is t(3) a multiple of 9? False Let n = -151 - -71. Let i = n - -122. Suppose 2*b - 4*b + i = 0. Is 4 a factor of b? False Let w(i) = 2*i**3 - 16*i**2 - 46*i + 411. Is 2 a factor of w(13)? False Suppose -2*k - 5 = -3*r, 2 = -5*k + 5*r - 3. Let z(v) = -129*v - 14. Let a be z(-1). Suppose 3*o - k*l + 107 = 4*o, -o = 4*l - a. Is o a multiple of 15? False Let w be 1*(6 + -5)*(1 - 1012). Let x be ((-24)/(-2))/(1 + 1017/w). Is 1 + x/(-11) - 4/(-22) a multiple of 37? True Suppose 0 = 2*a + 3*c + 27 - 33, -4*a + 5*c = -34. Does 20 divide (1274/21 + 6)/(2/a)? True Let x = 31305 - 8877. Is x a multiple of 36? True Suppose 1024*b - 336*b = 22777616. Does 7 divide b? False Suppose 9*m - 4*s = 83395, -15*m + 2*s = -12*m - 27803. Does 32 divide m? False Suppose -10 - 104 = 3*o + 3*s, -3*o + 4*s - 142 = 0. Let l be (-4)/6*o/4. Does 27 divide l/((-21)/(-12)) + 114? False Suppose -5*y - 2*o + 2477 = 0, 3*o = 2*y - 636 - 351. Suppose 5*d - p + 6*p = -825, 3*d = -4*p - y. Let z = d - -285. Is z a multiple of 20? True Is 43 a factor of (-9 - 1) + 5270 + 145? False Suppose -239 = -10*p + 11. Is p/(-2)*((-108)/30 - 6) a multiple of 12? True Let r = 142 - 137. Suppose -f + 3*j = -9, f + 3*j + 4 = -r. Suppose -2*t - c + 470 = t, -c + 2 = f. Is t a multiple of 26? True Let q be (-480)/(-20)*(-12)/32. Let l(v) = -v**2 + 3*v + 3. Let u be l(4). Is (-114)/u - (q + 5) a multiple of 16? False Let o = 900 - -199. Is 16 a factor of o? False Suppose -11*z - 20312 = -171958. Is z a multiple of 226? True Let j(d) = d**2 + 12*d + 1551. Does 14 divide j(-65)? False Suppose 4*u - 5*s = 2*u + 90, 0 = 4*u - 5*s - 200. Let t = 54 - u. Does 35 divide 2 - 2 - (-174 + t)? True Let q be 1*1*(0 + -1). Is 27 a factor of (423/(-188))/(q*2/240)? True Suppose -5*s + 30 = 4*h, -4*s + 0 = -3*h + 7. Suppose 0 = 5*t - 2*k, -2 = -h*t + k + 3. Is 109 + (10/t - 4) a multiple of 17? False Let n(o) = 7*o + 13. Let y(z) = -z + 12 + 10*z - z. Let f(v) = 7*n(v) - 6*y(v). Is f(9) a multiple of 7? True Let y(m) be the second derivative of m**7/2520 - m**6/240 - 13*m**5/120 - m**4/4 + 21*m. Let h(n) be the third derivative of y(n). Does 20 divide h(-9)? False Suppose 12*z - 13*z = -4505. Let o = z + -2852. Does 49 divide o? False Suppose m = -9*m - 70. Is 2280/4 + (-1 - m) a multiple of 38? False Let u(n) be the third derivative of -n**6/120 + 2*n**5/15 + 3*n**4/4 + 6*n**3 + 8*n**2 + 9*n. Is u(10) a multiple of 10? False Suppose -32 - 13 = -9*m. Suppose -t + 15*q = 20*q - 80, 0 = 5*t - m*q - 460. Does 8 divide t? False Let g(l) = 16*l**2 + 177*l + 64. Is 48 a factor of g(-37)? False Let u(n) = -7*n + 230. Let t be u(30). Suppose t*v + 4*v = 6504. Is v a multiple of 5? False Let x(y) be the third derivative of y**6/120 - 3*y**5/20 - y**4/2 + 9*y**3/2 + 13*y**2. Let w be x(10). Let o(c) = c**2 - 4*c + 13. Is 10 a factor of o(w)? False Let b(r) = 3*r**2 + 54*r + 39. Let g be b(-17). Let u(p) = 9*p + 130. Is 22 a factor of u(g)? True Let z(q) = -128*q - 122. Is z(-10) a multiple of 34? False Suppose -2*p + 3217 = -n + 2*n, 0 = -p - 5*n + 1631. Suppose 43*w - 32*w = p. Is w a multiple of 12? False Suppose -6*a = -23*a + 64243. Is a a multiple of 110? False Let j be (84/(-147))/((-1)/7). Let n be 0 + j + 0 + -21. Let z = n - -51. Is 17 a factor of z? True Let h = -1183 + 1954. Let a = h - 679. Is 10 a factor of a? False Suppose 5*q - 66 = 409. Let c = q - 40. Suppose -245 = m - 4*m + z, m = -5*z + c. Is 16 a factor of m? True Suppose -36*h + 39672 = -18*h. Does 130 divide h? False Suppose -60*b + 4380 = 60*b - 110*b. Does 6 divide b? True Let r(k) = -k + 1. Let w(y) = -2*y - 44. Let l(p) = 5*r(p) + w(p). Suppose 51*s + 156 = 39*s. Is 13 a factor of l(s)? True Let p(r) = 5*r**3 + 9*r**2 + 2*r - 10. Let g(m) = 6*m**3 + 8*m**2 + 3*m - 9. Let i(l) = 4*g(l) - 5*p(l). Does 24 divide i(-14)? False Let r(l) = -15 + 11*l**2 - l + 3*l**2 - l**2 - 9*l**2. Is 35 a factor of r(8)? False Does 9 divide (-5*126/27)/((-4)/144*3)? False Let n = 312 - 310. Suppose -n*x + 255 = 5*t, -5*x - 366 = -8*x - 2*t. Is 20 a factor of x? True Suppose -156*k + 303*k + 31328 = 158*k. Does 38 divide k? False Let y(h) = 2*h**2 - 55*h + 452. Does 10 divide y(-52)? True Does 12 divide (-219*4)/((-2478)/(-140) - 18)? False Let m be (-805)/15 - (-3)/18*-2. Let g = 54 + m. Suppose g = -d + 2*l + 28 - 2, 3*d = -2*l + 46. Is d a multiple of 3? True Let j be (2 + 3/(-3))*2. Suppose 0 = 27*r - 17*r - 20. Suppose -6 - r = -j*l. Is 2 a factor of l? True Suppose 186*o + 403*o - 2829430 = 332322. Is o a multiple of 11? True Suppose -90*u - 40*u + 61100 = 0. Is 10 a factor of u? True Let i(f) = -f**3 + 10*f**2 - 3*f + 180. Is i(-12) a multiple of 44? False Let a = -1250 + 2078. Is a a multiple of 36? True Let k(p) = p**3 - 3*p + 3. Let z be k(2). Suppose 0 = 73*x + 7 - 1978. Suppose -48 - x = -z*m. Is m a multiple of 3? True Let x = 171699 - 114308. Is 262 a factor of x? False Suppose -3*t + 19616 = -4*q, -5*q = 3*t - 11537 - 8061. Does 86 divide t? True Let p(u) = -250*u + 4851. Is p(-7) a multiple of 28? False Suppose 4*a - 7520 = -d, -747*a + 744*a - 5*d + 5623 = 0. Does 33 divide a? True Suppose 5*k - 403 = 3*w - 5559, -2*w = 2*k - 3464. Is 5 a factor of w? False Let u = -77 - -79. Suppose w + 22 = -4*q, -14 = 2*w + u*q - 0. Does 14 divide ((-721)/(-28) - w/8)*7? True Suppose 0 = -3*f + 2*m + 507, 228 = 2*f + 2*m - 120. Let q = 7 + f. Does 89 divide q? True Let x(c) = 1745*c**2 + 276*c - 1324. Is 19 a factor of x(5)? True Suppose -20*g = -13*g + 644. Let d = 129 + g. Suppose -3*s + 0 - d = -5*c, -2*s = -4*c + 30. Is c a multiple of 5? False Let o(d) = -73*d - 4. Does 46 divide o(-17)? False Suppose -4*w + 4*c = -108, -4*w + 3*c + 129 = w. Suppose -19 = j - w. Suppose 3*y + 240 = j*y. Is 20 a factor of y? True Let b = -646 + 8808. Does 36 divide b? False Let o = -23 - -26. Suppose -4*h - o + 15 = 0. Suppose 2*z = 3*w + 48, h*z + w = -0*z + 94. Does 6 divide z? True Let z = -394 + 2253. Is 18 a factor of z? False Let a(n) = 2983*n - 13051. Is 7 a factor of a(10)? True Let j(y) be the first derivative of 2*y**3/3 - 21*y**2/2 + 5*y + 1. Let w be j(15). Suppose 60*t - 55*t = w. Does 7 divide t? True Suppose y + 257 = 897. Suppose 0 = -5*n + 2*a + y, -256 = -0*n - 2*n + 2*a. Is 64 a factor of n? True Does 17 divide 16/(-24) - 240388/(-114)? True Is ((-52)/182 - (-2)/(-7)) + (-964026)/(-343) a multiple of 8? False Suppose 4*l = 470 + 1106. Suppose -l = -2*q + 566. Is 9 a factor of q? False Let o(h) = -148*h. Suppose -173*j + 45 = -178*j. Is o(j) a multiple of 74? True Let s(f) = f**3 + 73*f**2 - 280*f - 88. Does 42 divide s(-76)? True Suppose 0 = -3*n + 3, 5*q - 6*q = -2*n - 1. Let p be 93/q + (1 + -3 - 0). Suppose 0 = 31*z - p*z - 266. Is z a multiple of 27? False Suppose -23 = -2*l - 2*l + 3*m, -3*m - 28 = -5*l. Suppose -l*c = -c - 1368. Does 47 divide c? False Let n = 12474 - 9988. Is 19 a factor of n? False Let b = -98 - -38. Let j = -55 - b. Suppose 2*t + j*p = 3*t - 82, 5*t - 5*p - 490 = 0. Is
{ "pile_set_name": "DM Mathematics" }
*p - 2*u for p. 5 Solve 36 = -3*y + 19*o - 13*o, -5*y = 5*o - 16 + 31 for y. -6 Solve -94 = -4*q - 2*m, -2556*q + 20*m - 142 = -2558*q for q. 21 Solve -3*u = -5*o - 59, -10*u + 440 = -o + 400 for u. 3 Solve -18 = -3*t - 4*r, r + 13 + 10 = 2*t + 11 for t. 6 Solve 387*f - 382*f - w = 11, f + 47*w + 45 = 0 for f. 2 Solve b - 1411*g = -1413*g, 3*b - 2 = -4*g for b. 2 Solve -2*n + 4 + 30 = 4*a, 0*a + 293*n = -0*a - 1717 + 3182 for a. 6 Solve 8*m + 6*o = 3*o - 212, 80*o - 6 = 2*m + 69*o for m. -25 Solve 9*k - 186 = o + 233, 0*o + 5*o = -5*k + 205 for k. 46 Solve a = -q + 13, 4*q + 2273935*a - 2273930*a - 57 = 0 for q. 8 Solve 3*u = -a - 39 + 27, -49 = -3*a + 8*u for a. 3 Solve -2*r - 2 = -5*k, -49*r - 120*r + 581 = -k - 104*r for k. 4 Solve -4*p + 61 = 3*g, -4089*g + 8177*g - 4090*g = 2*p - 40 for p. 1 Solve g - 57*q = 345, 4*q - 250 = 3*g - 283 for g. 3 Solve 4*b - 4*k - 24 = 0, -345*k = -349*k + 4 for b. 7 Solve n = 5, 2*a - 137442*n + 18 = -137438*n for a. 1 Solve -k + 122 - 21 = 23*f - 9 - 0, 2*k = -f - 5 for f. 5 Solve -43*a - 5*o = -66, -9 - 5 + 4 = -3*a + o for a. 2 Solve 92 = -2*w - 2*w - 4*h, 4*w + 74 - 3 - 14 = 3*h for w. -18 Solve 2*m + 1432 = s - 2*m + 1404, 0 = -2*s + 6*s - 2*m - 28 for s. 4 Solve 0 = -2*n - 3*g + 9 - 20, -2*n - 2*n - 17*g = 16 + 39 for n. -1 Solve -3*d + 3749646*c + 4 = 3749642*c, -5*d + 4*c + 20 = 0 for d. 8 Solve 2*h - 17 = 7*h - 8*j - j, 14*j = -16 + 58 for h. 2 Solve z - 49 = 7*g - 0, 0 = -5*z - 10*g + 13*g + 117 for z. 21 Solve -7 = 4037*m - 4032*m + 4*x, -5*x - 11 = 4*m for m. 1 Solve -12*l - 36 = -4*z, 593*l - 293*l + 3*z = 305*l + 19 for l. -2 Solve -5*i + 322*q - 335*q - 33 = 0, -4*i + 13*q = 11*q + 14 for i. -4 Solve 5*o + 2*a - 24 = o, 0*o = o - 3*a + 64 for o. -4 Solve d - 2 = 4*p - 10, 549*p - 554*p - 5*d = 140 for p. -4 Solve 0 = g + m + 1, -316 + 313 = 3*g - m for g. -1 Solve 5*u + 664 - 622 = 4*r, u - 3*r - 199 + 213 = 6*u for u. -2 Solve 2*o + 3*w + 73 = 2*w - 66, 0 = 6*o + w + 427 for o. -72 Solve -w - 6 = 1807080*d - 1807079*d, 44*w = 3*d + 206 for d. -10 Solve 2*h + 127 = 2*u - 3*h, 382*u - 378*u - 3*h = 261 for u. 66 Solve -8*q = -3*m - 6, 4*q - 8*q + 24 - 4 = 8 for m. 6 Solve 104 = -177300*j + 177304*j + 4*k, 5*j + k - 26 = 0 for j. 0 Solve -2*p - 46 = v, -6*p + 4*v = 430848 - 430962 for p. -5 Solve 0 = 5*l - 2*h, 9622*h - 9437*h = -2*l + 1858 for l. 4 Solve -5*o + 115 = 3*x + 2*x, 2*o + 53*x - 103*x + 49*x - 13 = 21 for o. 19 Solve -2*w + w - 4*c - 70 = 0, -307*c - 317*c = w - 636*c - 202 for w. -2 Solve -10340*r + 10343*r = -4*a - 7, -3*r + 29 = -5*a for a. -4 Solve -2*g - 30793 = 12*y - 30715, 4*g + 23 = -5*y for y. -7 Solve -2*m - 4*w - 72 = 0, 9409*m - 108 = 9412*m + 5*w for m. -36 Solve 548*f - 553*f + 21 = -3*z, 3*f = 2*z + 13 for z. -2 Solve -2*q - 1891*i = -1888*i + 58, -3*i - 70 = -q for q. 4 Solve -3*w = -316*i + 315*i - 26, -11*w + 4*i + 97 = 0 for w. 7 Solve 4*v = -10*b + 5*b + 18, -148*v - 151*v = -9*b + 145*v - 442*v + 14 for b. 2 Solve 11300121*z - 11300090*z - 2*m = -122, 0 = -2*z + 2*m - 6 for z. -4 Solve 2306*w - 2319*w = 3*z + 41, -3*w - 4*z - 22 = -2*w for w. -2 Solve 3*v - 15*u = -11*u + 8*u - 132, -21*v = -5*u + 101 + 33 for v. -4 Solve -2*u + 4 = 3*s, 5*u = 350*s - 424*s + 143 for s. 2 Solve -4*p - 94*u - 99 = -95*u - 73, -5*u + 58 = -2*p for p. -4 Solve -4*h - 57*u + 52*u = 66, 6*h + u = -34 for h. -4 Solve -1056*w = -1058*w + 4*q - 40, -w = 60*q - 538 for w. -2 Solve 71*k - 5*g - 66 = 0, 3*k = 2*g - 666 + 667 for k. 1 Solve 5*u = -2*y - 4*u + 89, 0 = -y - 3*u - 146 + 334 - 157 for y. 4 Solve -8*p + 189 = -3*p - 23*a, 188*p = 189*p + a + 7 for p. 1 Solve -3*x + j - 55 = 5*j, -27*j - 21*j = -4*x - 49*j - 30 for x. -5 Solve 0 = 5*z - 2*j + 114, -5*z - 2212*j - 123 = -2211*j for z. -24 Solve -f + 4*q - 72 = -5*f, -37283*f + 37278*f = -2*q - 104 for f. 20 Solve -2*r - 1120*u + 48 = -1124*u, -7*r + u + 150 = 5*u for r. 22 Solve 4*a = 90*p - 94*p - 52, -14 = 2*a - 2*p for a. -10 Solve 0 = -16*r - 4*g - 164, -4*r - 32*g + 70*g - 34*g + 104 = 0 for r. -3 Solve 81*l + 44 = q, 71 = 4*q + 4*l - 105 for q. 44 Solve -7*q + 4 = 4*w + 75, -35 = 4*q - 5*w + 42 for q. -13 Solve -11*p - 3*l - 15 = -7*p - 6, -27 = -3*p + 9*l for p. 0 Solve 6*p - 5*p = 5*b - 0*b + 21, 0 = 4*b + 3*p + 32 for b. -5 Solve -16*q = 4*w + 12, 0 = q - 2*w - 249 + 497 - 245 for q. -1 Solve 67*u - 39*u + 387 = -5*d, 0 = -3*d + u + 17 for d. 1 Solve -2*h + 80 = 4*m, -23*h + 7 = -21*h - 2*m + 35 for h. 4 Solve z - 29*k = -43, -94*z + 98*z - 3*k = -285 for z. -72 Solve 0 = -4*j - 5*u + 2077 - 2024, 3*u = -2*j + 25 for j. 17 Solve -b - o + 3*o = -30, -2*b + 2*o = -252 + 222 for b. 0 Solve -17*m + 3*v - 33 = 148, -14291*m + 14293*m + v + 24 = 0 for m. -11 Solve -744*a + 8 = 4*w - 742*a, 9*w = 4*a - 84 for w. -4 Solve -3*s = 4*i + 90, -40042*s - 116 = 5*i - 40040*s for i. -24 Solve -3*q + 7*q + 9 + 18 = -449*s + 448*s, 4 = s + 11 for q. -5 Solve 4*t = t - 3*x + 12, 318*x + 2 = t + 321*x - 8 for t. 1 Solve 81 - 11 + 41 = -25*k + 3*r + 3, -5382*k + 5388*k - 4*r + 62 = 0 for k. -3 Solve 42859 = 4*k - i + 42816, -8*k + 92 = 4*i for k. 11 Solve 0 = -3911*l + 3909*l + 2*p + 20, 0 = -4*l - 2*p + 10 for l. 5 Solve -17 - 11 = 4*r + 4*c, 280*r + c + 19 = 275*r for r. -3 Solve 28*v - 4*m = 9*v + 15*v + 116, 44*m = -v + 164 for v. 32 Solve -10*q + 2*j = -10*q + 6, -5*j + 50 = -7*q for q. -5 Solve 3*m + 75*z - 246 - 1398 = -0, 5*z = -72*m + 69*m + 104 for m. -2 Solve -5*y - 3*x + 8*x - 13 = -68, -87 = -5*y - 3*x for y. 15 Solve 340 = -22012*l + 22013*l + 23*w, 0 = 18*l + 2*w + 60 for l. -5 Solve 5*w = i + 109, -130 = 22*i + 8255*w - 8257*w for i. -4 Solve -71328*p + 71326*p + 109 - 14 = 3*m, -5*p = 5*m - 155 for m. 33 Solve 2603675*l = 2603677*l - 63*o - 179, -2*o = 2*l + 16 for l. -5 Solve 4*c + 10 = -c, -2*h - 1692 - 1708 = 5*c - 3380 for h. -5 Solve -5*v - 6*z = -61, -61*z + 59*z = -2 for v. 11 Solve -4*s + 11*d = 14*d + 18 + 27, 31*d + 465 = -3*s for s. 0 Solve -2*m - 376 = 3*j - 788 + 361, 0 + 3 = -7*j - 4 for m. 27 Solve -31*w - 133 = -3*p, w + 2*p - 7*p + 0*p + 10 = -3*p for w. -4 Solve 3*h - 8 - 22 = -v - 2*v - 6 - 9, 0 = 3*v - 9 for h. 2 Solve -3*q - 4*l + 364 = -361 + 728, 22*q + l + 4 = 18*q for q. -1 Solve -a + 71 = 3*n + 62, 0 = -a - 13*n + 18*n + 17 for a. 12 Solve w - 10*b + 30389 = 30928, 3*w - 159 = 3*b for w. -1 Solve -8*i - 4*l + 393 - 104 = 111 + 126, 2*i - 3*l = -7 for i. 4 Solve -3*c + 139 = 35*k - 433, 0 = 5*k - 0*c - 4*c - 64 for k. 16 Solve 38 = -z + 19*v - 153, 6*v = 6*z + v + 4*v + 16 for z. -1 Solve -49*t = -1137*h + 1137*h - 53*t + 8, -5*t + 14 = -4*h for h. -1 Solve 4*x = -4*n - 36, 0 = 82*x - 85*x + 9*n + 129 for x. 4 Solve -19*k - 3*u + 107 = -14*k, -1480*k = -1484*k - 4*u + 92 for k. 19 Solve -3*b - 1610 = 5*i - 1547, -2*i - 8*b = -2 for i. -15 Solve 0 = -2*c - r - 8, -5788 = -5*c - 4*r - 5814 for c. -2 Solve -4*m - 10*d = -8*d - 4*d - 180, 0 = -25*m + 2*d + 285 for m. 5 Solve 4*s - 2454 = -323*r - 8369 - 3230 - 5055, 3*r = 4*s - 144 for r. -44 Solve 0 = -3*u - 4*k + 71, 0 = -3*u - 1367*k + 1371*k + 55 for u. 21 Solve p = 2*z - 105, 5*z - 5*p = -181727 + 181982 for z. 54 Solve -l - 5*r - 7*r + 10*r = 52, 44 = -5*l - 2*r for l. 2 Solve -19*h = -8*h - h - 5*b - 55, 0 = 2*h + 3*b + 39 + 26 for h. -4 Solve 0 = 5*d - 8*x + 16*x - 3*x + 75, -295*x - 60 = 4*d for d. -15 Solve -6*j + 5*l - 37 = 0, 8*j - 4*l = 4*j + 858 - 886 for j. -2 Solve -3*x - 237*u - 74 = -x - 232*u - 28, 7*x = 17*u + 184 for x. 2 Solve -54*j = -4*m + 50*j - 107*j - 25, 2*m + 4 = 4*m - 4*j for m. -4 Solve -6634 = 5*n - 3*l - 6633, 5*n + 15 = 5*l for n. 4 Solve 308*w - 5*m + 60 = 306*w, -129 = 5*w - 2*m for w. -25 Solve -9574*w + 4*z = -9531*w - 80, 0 = -3*w + z + 20 for w. 0 Solve 5*c = l + 34, 15*c - 21*c + 8*c = -2*c + 2*l + 32 for c. 6 Solve 12*c = 10*z + 60, 7*z - 2*z + 734*c = 737*c - 6 - 39 for z. -12 Solve 0 = 14*m - 15*m - 3*p - 167 + 114, -6*m - 255 = -3*p for m. -44 Solve 277*c = 5*b + 278*c - 24, -4*c = -6*b + 34 for b. 5 Solve 5*b - 4*g - g - 80 = 0, -33 = 8*b - 3*g - 171 for b. 18 Solve 35 = -5*b + m, 3*m - 27488 = 8*b - 27439 for b. -8 Solve 37*d - 37*d - 20 = 4*y, 0 = 5*d + 9*y + 155 for d. -22 Solve 88*u + 5*q = -166, u + 18*q - 4 = 8*q + 7*q for u. -2 Solve i - 74 = -d - 90, 411 = 64*d + 91 for i. -21 Solve 0 = -v - 11
{ "pile_set_name": "DM Mathematics" }
*((3 - 3 + 2*p)*(-1 + 1 - 2*p) + 2*p**2 + 2 - 2). -2*p**5 Expand (i - 1 - 1 + 5)*(-5*i - 3*i + i). -7*i**2 - 21*i Expand (3*t**3 + 2*t**3 - 7*t**3)*(-24 - t + 9 + 3*t) - 4*t**4 + t**4 + 2*t**4. -5*t**4 + 30*t**3 Expand (-a**2 - 4*a**2 + 3*a**2)*(9 + 13 - 3). -38*a**2 Expand (2 + 1 - 1)*(-b + 0*b + 3*b) - 6*b + 4*b + 3*b + (4*b - 3*b - 2*b)*(0 - 1 - 1) + 1 - 1 - b. 6*b Expand 3*m - m**2 - 3*m + (0*m - 5*m + 3*m)*(0 + 0 - 3*m) - m**2 + 0*m**2 + 0*m**2. 4*m**2 Expand (0 - 1 + 3)*(-w + 9*w - 4*w)*(1 - 1 - 2*w)*(-4*w**2 - 7*w + 7*w). 64*w**4 Expand -5*q - 2*q**2 + 5*q + (1 + q**2 - 1)*(1 - 1 - 1) - q**2 + 15 - 29 + 10. -4*q**2 - 4 Expand (0*f**2 + 0*f**2 - 2*f**2)*(3 + 3 - 1). -10*f**2 Expand u**4 + u**2 - u**2 + 3*u**4 + 0*u**4 - 5*u**4 + (-1 + 1 + 2*u)*(-3*u**3 - 3*u**3 + 5*u**3). -3*u**4 Expand (0*w**2 + 0*w**2 - 2*w**5)*(3 + 2 - 7)*(-1 + 3 - 6). -16*w**5 Expand 3*j**3 - 1 + 1 + (-4*j + j - j)*(2*j**2 + j - j) + (-2 + 6 - 2)*(-j**3 + 2*j**3 - 3*j**3). -9*j**3 Expand -c**2 + 0*c + 0*c + 2*c**2 - 5*c**2 + 4*c**2 + (5 - 2 - 1)*(-c**2 + 0*c**2 + 3*c**2) - 34 - c**2 + 2*c**2 + 36. 5*c**2 + 2 Expand 3*j**2 - 2*j**2 + j**2 + (-3 + 5 - 3)*(-2*j**2 - 2*j**2 + 5*j**2) - 2*j**2 + 3*j**2 + j**2 - j**2 + 0*j**2 + 3*j**2 - 3*j - 2*j**2 + 3*j. 3*j**2 Expand (5*p**2 - 6*p**2 + 7*p**2)*(-p**2 - 3*p**2 + 3*p**2 + (3*p - p - 6*p)*(-p + 5*p - 5*p)). 18*p**4 Expand (-2*z + 3*z - 2*z)*(5*z**3 - 27*z**2 + 27*z**2) - z**2 + z**2 + 3*z**4. -2*z**4 Expand (-a + 2*a - 3*a)*(6*a - 11*a + 9*a)*(-2*a + 3*a - 2*a). 8*a**3 Expand -2*n**2 + 2*n**2 - 6*n**3 + (2*n - n - 2*n)*((3*n - n + n)*(-2*n - 3*n + 3*n) - n - n**2 + n). n**3 Expand (0 + 4 - 6)*(0 - w + 0) + (-2 + 1 - 1 - 2 - 1 + 2 + (3 + 0 - 1)*(-1 + 1 - 1) + 0 - 2 + 0 - 3 + 2 + 0 - 3 + 0 + 2 + 1 + 1 - 4)*(-6 + 6 + 5*w). -53*w Expand (3 - 2 + 11)*(-x - 2*x + 5*x)*(x**2 + 2*x - 2*x). 24*x**3 Expand (b - 2 + 2)*(-3 - 1 + 0) - 7*b + 3*b + 2*b. -6*b Expand (2*z - 2*z + z)*(3*z**3 - 5*z**3 + 0*z**3) - 2*z**2 + 2*z**2 - 6*z**4 + 2*z**4 - 4*z**4 + z**4. -9*z**4 Expand (-2 - 1 + 4)*(2 - 5 + 2)*(-121*t - 14*t**2 + 121*t). 14*t**2 Expand -2*o**3 - 2*o**3 + 7*o**5 - 6*o**5 + (2 - 2*o - 2)*(4 + o**4 - 4). -o**5 - 4*o**3 Expand (-2*n**2 - 2*n**2 + 2*n**2)*(2 - 2 - 2*n**3) - 7*n**5 + 43*n**5 + 16*n**5. 56*n**5 Expand (a**2 + 0*a**2 + a**2)*(157 + 17*a**2 - 157) - a**4 + 0*a**4 + 2*a**4 + (0 + 2*a**2 + 0)*(0*a**2 + a**2 + a**2) + 4 - 4 - a**4. 38*a**4 Expand (1 + 2 - 4)*(-2*k + 3*k + 0*k) - 12*k - 38*k + 24*k. -27*k Expand (-2*c + 5*c + 0*c)*(-2 + 1 - 2)*(-2*c**3 + 2*c**3 - 2*c**3). 18*c**4 Expand (0*o**3 + 2*o**3 + 0*o**3)*(o**2 - o**2 - o**2) - 2*o**5 + o**2 - o**2 - 2*o**3 + 2*o**3 - o**5 + 127*o + 7*o**5 - 127*o + o**4. 2*o**5 + o**4 Expand o**3 + 4 - 8 + 3 + (2*o**3 - 4*o**3 - 5*o**3)*(5 - 5 - 2) + 2*o**3 - o + o. 17*o**3 - 1 Expand -3*i**3 + 0*i**2 - 3*i**2 + 7*i**5 - 9*i**5 + (-3 + 3 + i)*(0*i**4 + 0*i**4 - 2*i**4). -4*i**5 - 3*i**3 - 3*i**2 Expand (3*n**2 - 3*n**2 + n**4)*(-1 - 1 + 3) + 117*n**2 - 12*n**4 - 117*n**2 + 2 + n**4 - 2. -10*n**4 Expand ((0 - 3 + 1)*(0*g - g + 0*g) + 6 + g - 6 + 3*g - 5*g + 3*g)*(2 - g - 3 + 0). -4*g**2 - 4*g Expand (2 + o - 2)*((o + 4*o - 3*o)*(1 - 1 - 1) - 5 - 4*o + 5). -6*o**2 Expand (j + 4*j - j)*(2*j + j - 2*j) - 2*j + 2*j**2 + 2*j + (-j + 5*j - 2*j)*(-6*j + 4*j + 3*j). 8*j**2 Expand 6*q**5 - 7*q**5 + 9*q**5 + (2*q**5 - 2*q**5 - q**5)*((-2 + 2 + 2)*(-3 + 2 + 3) - 1 + 4 - 2)*(1 - 2 - 1). 18*q**5 Expand 3*y**2 - 3*y**2 + 2*y**2 + (y - 2*y + 2*y)*(0 + y + 0) - 15 - 25*y**2 + 15. -22*y**2 Expand (i**2 - 4*i**2 + i**2)*(5 + 1 - 4) + i**2 - 2 + 2 - i**2 + 3*i**2 + 0*i**2 - 1. -i**2 - 1 Expand -6*c**3 + 4*c**3 + 2*c + 3*c**3 + (c**2 + 1 - 1)*(0 - 2*c + 0). -c**3 + 2*c Expand (2*j**2 - 3*j**2 + 2*j**2)*(6 - 3 - 4) + (3 + 3*j - 3)*(j + j + 2*j). 11*j**2 Expand (0 - m + 0)*(-2*m + 3*m - 2*m) + m**2 + 0*m - 3*m**2 - m. -m**2 - m Expand (-2*i + 5*i - 4*i)*(2*i - 2*i - 2*i) - 15*i - 28*i**2 + 15*i. -26*i**2 Expand (-1 + 1 - 3*n**4)*(4 - 3 - 2). 3*n**4 Expand (-5 + 2 + 2)*(o - 2*o + 0*o) + (2 + 3*o - 2)*(-5 + 1 + 3) + (-1 + 1 - 1)*(2*o + 0 + 0). -4*o Expand 0 + 3*o**2 + 0 + (8 + 0 - 4)*(o**2 + 2*o**2 - o**2) - 5*o**2 + 3*o**2 + o**2. 10*o**2 Expand -v + 23*v - 11*v - 3*v + 2*v - v + (-2 - 3 + 3)*(-2*v + 1 - 1). 13*v Expand (18*n**3 + 3*n**3 + 31*n**3)*(-1 - 2*n**2 + 1). -104*n**5 Expand (2 - 2*d - 2)*(-d - d + 0*d) + 4*d**2 + 3*d**2 - 6*d**2 + 2 - 2 - d**2 - 5*d**2 + 10*d**2 - 3*d**2. 6*d**2 Expand (0*y + 7 - 6 - 3*y)*(-4*y**2 + 2*y**2 + y**2). 3*y**3 - y**2 Expand (p**2 + 0*p**2 + 0*p**2)*(4*p**3 - 2*p**3 - 4*p**3) + (3*p**4 - 2*p**4 + 0*p**4)*(2*p + 0*p - 3*p). -3*p**5 Expand (-4 - 6 + 2)*(26*a**3 - 4*a**5 - 26*a**3). 32*a**5 Expand (4*l - 5*l + 3*l)*(0 + 1 + 0) + 2*l + 0*l + l - 2*l - 4 + 4. 3*l Expand (3*v - 5*v + 3*v)*(7 + 8 - 4) + v - 3*v + 0*v. 9*v Expand (-1 + 1 + 3)*(-2*h + 0 + 0) + h - 2*h + 2*h - 6*h + 1 + 2*h + 0. -9*h + 1 Expand y**2 - y**3 - y**2 + y**3 + y**3 - y**3 + (6*y + 1 - 1)*(2*y**2 - 6*y**2 + 2*y**2) + 0*y + 0*y + 2*y**3. -10*y**3 Expand -1 + 2*r**2 + 1 - 4*r**2 + 3*r**2 + 0*r**2 + (3*r - 3*r - 2*r**2)*(-4 + 3 - 1) - r + r - r**2 + (2*r + 3*r - 4*r)*(-4*r - 3*r + 4*r). r**2 Expand (-3*m + m**2 - 5 + 5)*(0*m**3 + 2*m**3 + m**3). 3*m**5 - 9*m**4 Expand (-c - 2*c + 5*c)*(-c**4 - 2*c**4 + 6*c**4) + (3 - c - 3)*(-4*c**4 - c**4 + 3*c**4). 8*c**5 Expand (6*z**2 - z**2 - 3*z**2)*(-11*z**2 + 2*z**2 - 3*z**2). -24*z**4 Expand (0*g + 0*g + g + (3 - 2 + 0)*(0*g + 0*g + 2*g) + 3*g - 3*g + g)*(3*g**2 - g**2 - 3*g**2 + (-3*g - 18*g - 3*g)*(0*g + 3*g - g)). -196*g**3 Expand (-1 + 0 + 3)*(3*r**5 - 10*r + 10*r). 6*r**5 Expand ((-7*l + 3*l + 3*l)*(-2*l + 1 - 1) + 4*l**2 + 26*l - 26*l)*(-1 - 3 + 1). -18*l**2 Expand (1 + 3 - 5)*(4*s**3 + 3*s**2 - 2*s**2 - 4*s**2) + 2*s**3 + s**3 + 0*s**3. -s**3 + 3*s**2 Expand (-4*k + 4*k - 6*k)*(-1 - 11 - 7). 114*k Expand (4*a - 5*a + 2*a)*(-7 + 5 - 5) + (2 + 2 - 3)*(-3*a - 5*a + 2*a). -13*a Expand (3 - 1 - 3)*(-5*k**5 + 3*k**5 - 9*k**5). 11*k**5 Expand (p + p - 3*p)*(2 + 2 - 7) + (-3 + 3 - 2*p)*(-5 + 1 + 3)*(-4 + 1 + 1). -p Expand (-2*r + r + 2*r)*(4*r - 2*r + r) + 24 - 24 + 2*r**2. 5*r**2 Expand (-2*a**4 - 2*a**4 + 3*a**4)*(-2*a + 0*a + 3*a) - 3*a**5 - 3*a**4 + 3*a**4 + (7*a**2 - 16 + 16)*(2*a**3 - 2*a**3 - 2*a**3). -18*a**5 Expand (2*x - 2*x**2 - 2*x)*(44*x**3 - 201 + 201). -88*x**5 Expand (2*s**3 - s**3 + 16*s**3)*(s - s + s). 17*s**4 Expand (3*p + 4*p - 6*p)*(-3 + 0 - 2)*(8*p**4 - 3*p**4 - p**4). -20*p**5 Expand (45*j**3 - 21*j**3 - 20*j**3)*(2*j**2 - j**2 + 2*j**2). 12*j**5 Expand -s**2 + 2*s**2 + s**2 - s**2 - 4*s**2 + 4*s**2 + (5*s + 3*s**2 - 5*s)*(5 - 4 - 3) - s + s - s**2 + (-s + 0 + 0)*(-2*s - s + 4*s). -7*s**2 Expand -23 + 0*y**2 + y**2 + 11 + (3*y - 2*y**2 - 3*y)*(-4 + 2 + 1). 3*y**2 - 12 Expand 0 + 0 - 3*a**3 + (a**3 - a + a)*(0 + 2 - 1)*(-2 + 4 - 4). -5*a**3 Expand (-2*g - 1 + 1)*(-2*g**2 + 0*g**2 + 3*g**2) + 4*g**3 - 2*g**3 + 2*g**3. 2*g**3 Expand (-2 + 2 - w**5)*(-2 - 2 + 5) + 23*w**5 + 20*w**5 - 14*w**5. 28*w**5 Expand (2 - 1 + 1)*(4*u - 2*u - u) + 1 - 1 - 2*u + (5*u - u - 3*u)*(1 + 0 - 2) + u - 2*u - 2*u. -4*u Expand (2*b**2 - 3*b**2 + 2*b**2 + (0*b + b - 3*b)*(-2*b - b + b))*(-2 + 0 - 2)*(b**2 - 3*b**2 - b**2). 60*b**4 Expand (8*d**2 + d**2 - 64*d**2)*(0*d - 4*d + 2*d). 110*d**3 Expand (4 - 2*z + 0*z - 2)*(0*z**2 + 3*z**2 - 2*z**2 + (z**2 + 0*z**2 - 2*z**2)*(-2 + 6 - 2)). 2*z**3 - 2*z**2 Expand (4 - 4 + 3*s)*((-2*s + s**2 + 2*s)*(s + 4*s - 3*s) + s**3 - 3*s**3 + s**3). 3*s**4 Expand c - c - 2*c**3 - 3 + 3 + 2*c**3 + (-4*c + 2*c + 3*c)*(0 + 0 - c**2) + (3*c**2 - c**2 - c**2)*(-2*c + 2*c + c + (0 + 5 - 2)*(-c + 1 - 1)). -3*c**3 Expand (-25 - 12*k**2 + 25)*(-k + 3*k - 4*k). 24*k**3 Expand (-v + v**2 + v)*(6 + 4 + 4)*(-2*v - 3*v + 4*v). -14*v**3 Expand (-17 - 26 + 55)*(4*h**5 + 0*h**5 - 3*h**5). 12*h**5 Expand (9*p - 6*p + 9*p)*(-2 + 2 - 2*p) + (p - 3 + 3)*(p - 4*p + 2*p). -25*p**2 Expand (1 + 0 + 2 + (0 - 4 + 3)*(1 + 2 - 5) - 1 + 2 + 1)*(3*l - 4*l + 0*l)*(3*l**4 - 5*l**4 - 5*l**4). 49*l**5 Expand ((-1 - 1 + 0)*(-3*v + 5*v - 4*v) - v + 3*v - 4*v)*(-1 + 1 - 3). -6*v Expand (0 + 0 + 2*i**2)*(-96 - 22*i**3 + 96). -44*i**5 Expand (24*y + 7*y**2 - 24*y)*(-4 + y + 4) - 3*y**3 + 3*y - 3*y. 4*y**3 Expand (2 - f - 2)*(1046 - 23*f**2 - 1046). 23*f**3 Expand (-3*q**
{ "pile_set_name": "DM Mathematics" }
decimal places. 0.0000028 Let m(v) = v - 3. Let p be m(9). Let l be p/5*(-5)/(-2). Suppose 8*a = l*a + 1400. What is a rounded to the nearest 100? 300 Let j = -6.18 - 0.22. Let r = j + 6.4124. What is r rounded to three decimal places? 0.012 Let a = -591 + 590.848. What is a rounded to 1 decimal place? -0.2 Suppose 2*l - l - 147600005 = -4*w, 0 = -4*w + l + 147599995. What is w rounded to the nearest 1000000? 37000000 Let z be (-2267518)/(-55) + 2/5. Let d = z + -120228. Round d to the nearest 10000. -80000 Let z be 1/((-46767)/9354 - -5). Suppose z = 4*k - 322. What is k rounded to the nearest 100? 900 Let s = 7728.3311 + -7728. Round s to 2 decimal places. 0.33 Let t = 64840 + -114291. Let c = 49451.139991 + t. Let n = -0.14 + c. What is n rounded to five dps? -0.00001 Let j be (-13125)/(-6)*-296*400/10. What is j rounded to the nearest 1000000? -26000000 Let c be 4 + 5 + (1 - -42390). Round c to the nearest ten thousand. 40000 Let s = -4 - -9. Suppose s*n - 16 = 29. Let y(g) = 11778*g - 2. Let m be y(n). What is m rounded to the nearest 10000? 110000 Let s = -633.99791 + 634. What is s rounded to 3 dps? 0.002 Let a = 112 - 204. Let b = -91.9728 - a. What is b rounded to three dps? 0.027 Let s = 152.7860087 + 20.0355093. Let h = s + -163.5215131. Let d = h - 9.3. What is d rounded to 6 dps? 0.000005 Let u = -4.420000167 - -4.42. What is u rounded to seven decimal places? -0.0000002 Let m be 300*(70/(-6) + 7). What is m rounded to the nearest 1000? -1000 Let v = -337.38 - -337.580005. Let l = -5.2 - -5.4. Let m = v - l. What is m rounded to five decimal places? 0.00001 Suppose -2*v + 3839988 = -3*a, -3*a + 4319533 = 2*v + 479521. What is v rounded to the nearest one million? 2000000 Let i be -17*2170/((-1)/1). Let j = -14010 - i. Round j to the nearest 10000. -50000 Suppose 2*c = 119 - 37. Let m(p) = -20*p - 1. Let g be m(-1). Let l = g + c. Round l to the nearest 100. 100 Let s = -6.1 + 31.1. Let q = s + -7.6. What is q rounded to zero dps? 17 Let r = -2.936 - -2.9. Let p = -19.336 - r. What is p rounded to the nearest integer? -19 Let a = 0.99 - 0.99000197. Round a to 7 decimal places. -0.000002 Let v = -3 - 55. Let x = v + 57.99999903. What is x rounded to seven decimal places? -0.000001 Let l = -98 - -59. Let d = -3 - l. Round d to the nearest 10. 40 Let j be -3 - (4211 + (-6 - -4)). Let r be -2 + j/(-3)*-2. What is r rounded to the nearest 100? -2800 Let t = 41.014 - 0.014. Let q = t - 40.7. What is q rounded to the nearest integer? 0 Let x = 122.27 - 123. Let z = x + -6.47. Let a = z + 11. Round a to 0 dps. 4 Let l = 6027712 + -2965712. Round l to the nearest 1000000. 3000000 Let r(b) = -13*b**2 + 1. Let u(g) = g + 6. Let d be u(-5). Let w be r(d). Round w to 0 decimal places. -12 Let u = -181.6 + 181.53718. What is u rounded to 3 dps? -0.063 Let y(d) be the second derivative of 1456675*d**3/6 + 25*d**2/2 + d - 9. Let r be y(-3). Round r to the nearest 1000000. -4000000 Suppose -g - 5*g = 0. Suppose -5*b - 6*y + 2*y + 659992 = g, 5*y - 131990 = -b. What is b rounded to the nearest ten thousand? 130000 Let q(y) = 10934*y. Suppose 0 = -5*g + 4*l - 15, 4*g + 6 = 2*l - 0*l. Let w be q(g). Suppose -2974 = 4*h - w. Round h to the nearest 100. 2000 Let m be (-1 - -7)/(-6 - -8). Let f(j) = -2 - 4575001*j**2 + 3 - m + 3*j. Let d be f(2). Round d to the nearest 1000000. -18000000 Let j = 0.79 + -16.77. Let q = j - -14.9. What is q rounded to one dp? -1.1 Let z = 4.68 - 4.6800865. What is z rounded to five dps? -0.00009 Let a = -4003 + 4338.9. Round a to the nearest 10. 340 Let x = 12 - 2. Let v = x + -9.91. Let m = -0.086 + v. Round m to 3 dps. 0.004 Let x be (3 + -4)/(1/(-5)). Suppose -x*b = -1 - 4. Let o be 7199996/(-8) + b/(-2). Round o to the nearest one million. -1000000 Let u = 0.8 - 0.7. Let w = -3.5 + 2. Let m = w - u. What is m rounded to the nearest integer? -2 Let s = 27 - -14. Let b = -149151.0639963 - -149192.064. Let z = b - s. What is z rounded to six dps? 0.000004 Let k = -42.0304 - -42. Let f = -0.16 - -0.2. Let n = k + f. What is n rounded to three decimal places? 0.01 Let m = 24.5 - 24.50000123. What is m rounded to 7 decimal places? -0.0000012 Let r = -222 - -214.8. Round r to the nearest integer. -7 Let r = 43964.411947 - 44028.412. Let b = 18 - 82. Let d = r - b. What is d rounded to 5 dps? -0.00005 Suppose 23*k + 284297 = -186053. Round k to the nearest 1000. -20000 Let u = -79 + 69. Let y be 4*(-6)/(-60) - (-20300004)/u. What is y rounded to the nearest one hundred thousand? -2000000 Let m = 12 - 5. Let h = 4247.078 + -4240. Let s = h - m. Round s to two decimal places. 0.08 Let k = -0.03172 - 58.75828. Let p = -57 - k. What is p rounded to one dp? 1.8 Let n = -11797 + 11817.676. Let p = -118.414 - n. Let f = p + 140. Round f to one dp. 0.9 Let b = 32.978 - 33.3. Let j = -140.678 + b. Let f = -141.73 - j. Round f to 1 dp. -0.7 Let v be 2/(3 + 1177917/(-392640)). Suppose -3*i = 38240 + v. What is i rounded to the nearest one million? 0 Let m = -949.799 - -945.6. Let b = 0.0602 - -3.9698. Let a = m + b. Round a to 2 decimal places. -0.17 Let u = 94 - 46. Let v = 45.2 - u. Round v to zero decimal places. -3 Let u = -0.1394 - -15.3594. Round u to one decimal place. 15.2 Let l = -970.592 + 970. Round l to one decimal place. -0.6 Suppose 13*w + 2028 = 2*u + 8*w, 4*w = -5*u + 5037. Round u to the nearest one hundred. 1000 Let q = -267 - 130. Let u = -413.16 - q. Let c = u - -16. Round c to one dp. -0.2 Let r = -129 + 55. Let n = 74.142 + r. Let u = n + 0.488. Round u to 1 dp. 0.6 Let t = 11.59 - 11.5905984. Round t to four decimal places. -0.0006 Let x = 0.32 + -0.31999879. Round x to 6 decimal places. 0.000001 Let g = -34.1 + 28. Let d = -70.9 + g. Let t = 77.142 + d. What is t rounded to 2 dps? 0.14 Let u = 0.397 + 6.683. What is u rounded to the nearest integer? 7 Let y = 39369 + -136269. Round y to the nearest ten thousand. -100000 Let z = 22 + -17. Suppose -3*v = z*w - 284, 0 = 4*w - 2*v - v - 211. Suppose 165 = -2*k - w. What is k rounded to the nearest 100? -100 Let p(k) = k**3 + k. Let o(d) = 9*d**3 + 4*d**2 - 6. Let u(l) = o(l) - p(l). Let v be u(4). Round v to the nearest 10. 570 Let y = 922 + -921.013. Round y to 1 decimal place. 1 Suppose 9*c - 5 = -14. Let u be 1 + c - (2 + -120002) - 0. What is u rounded to the nearest 100000? 100000 Let t = -2682154849.88946735 + 37.88946735. Let k = -2682154823.50000049 - t. Let w = 11.5 + k. Round w to seven dps. -0.0000005 Let n = 10.9 - 10. Let t = 1.44 - -1.36. Let u = n + t. Round u to 0 dps. 4 Let b(y) = 577037*y**3 - y**2 + 3*y - 2. Let v be b(1). Let q = v + -330037. Round q to the nearest one hundred thousand. 200000 Let x = 53.947 - 54. Let y = 3.753 + x. What is y rounded to zero decimal places? 4 Let i = 44 + -61. Let b = 12.62 + i. What is b rounded to one decimal place? -4.4 Let d be 142314/(-30) + 60/75. Round d to the nearest 1000. -5000 Let r = -353.141 - -353. Let q = 0.024 + r. Let x = q - 12.683. Round x to the nearest integer. -13 Let z = -18354.9987951 + 18355. What is z rounded to 4 dps? 0.0012 Let y = 1225 + -1224.9999996245. What is y rounded to 7 dps? 0.0000004 Let m = -2747 - -2624.7. Let u = -0.237 + -115.763. Let j = m - u. What is j rounded to the nearest integer? -6 Let k = 140.107 + -136.80698. Let s = 3.3 - k. What is s rounded to 5 dps? -0.00002 Let h = -87.929 - -88. Let x = h + -0.0487. Round x to 3 dps. 0.022 Let m = 0.047 + 23.953. Let l = 24.0085 - m. Round l to 3 decimal places. 0.009 Let r = -18.72 - 0.28. Let j = r + 20.6. Let s = 0.38 - j. Round s to one decimal place. -1.2 Let k = -82 - -104.5. Let z = k - 24. What is z rounded to one dp? -1.5 Let b = 1.6633 - 1.6. Let v = b - -13.9457. Let o = v + -14. What is o rounded to two decimal places? 0.01 Let j = 0.3 - 2.7. Let z = 44.6 - j. Let s = 47.0000047 - z. Round s to 6 decimal places. 0.000005 Let r(z) = -254507*z - 140. Let g be r(-20). Round g to the nearest 1000000. 5000000 Let m = -0.03764 - -0.037635031. What is m rounded to six decimal places? -0.000005 Let g = -58 - -23. Let s = -34.999979 - g. What is s rounded to six decimal places? 0.000021 Suppose 4*b = -4*b + 344. Suppose 4*i - 352 = -4*h, 4*h + b = -i + 143. What is i rounded to the nearest 10? 80 Let p = 468255 - 27
{ "pile_set_name": "DM Mathematics" }
ulate g(x(r)). -336*r**2 - 4*r Let j(w) = 17*w**2 + 13. Let o(f) = 8*f**2 + 6. Let y(x) = -6*j(x) + 13*o(x). Let m(s) = 8*s + 6. Let u(q) = q + 1. Let i(r) = -m(r) + 6*u(r). Give y(i(a)). 8*a**2 Let t(k) = k. Let u(x) be the first derivative of 25*x**2/2 + 11. Determine u(t(m)). 25*m Let p(f) = -6*f. Let m(r) = -2*r. Let v(y) = 10*m(y) - 3*p(y). Let k(t) = -9*t**2. Let g(j) = -26*j**2. Let b(x) = 5*g(x) - 14*k(x). Give v(b(c)). 8*c**2 Let c(b) be the third derivative of -b**4/24 - b**2 - 20. Let l(i) = 2*i**2 + 5 - 5. Give l(c(g)). 2*g**2 Let j(g) = -4*g**2. Let k(a) = -a**2 - 7*a**2 - 2*a**2 + 12*a**2. Calculate j(k(t)). -16*t**4 Let w(z) = 2*z**2. Let h(b) = -b**3 + b**2 - b + 7. Let r be h(0). Let n(x) = 7*x - 9*x + r*x. What is w(n(m))? 50*m**2 Let k(b) = b + 3. Let g(s) = -2*s - 8. Let n(v) = 3*g(v) + 8*k(v). Let i(d) = 3*d. Determine i(n(u)). 6*u Let j(d) = 2 - 2*d**2 - 2. Let k(s) be the first derivative of s**6/180 + s**3/3 - 1. Let a(c) be the third derivative of k(c). Determine a(j(w)). 8*w**4 Let p(m) = -2*m**2 - 25*m**2 + 6*m**2 - 8*m**2. Let w(d) = -3*d**2. Determine p(w(u)). -261*u**4 Let h(i) be the second derivative of 3*i**4/4 + 2*i. Let y(n) = -2*n**2. Calculate h(y(t)). 36*t**4 Let b(g) = 4*g**2 + 1790*g. Let h(u) = -2*u. Calculate h(b(j)). -8*j**2 - 3580*j Let k(b) = 4*b. Let r(j) be the second derivative of j**4 + 5*j. What is k(r(z))? 48*z**2 Let c(m) be the second derivative of 49*m**3/6 - 8*m. Let z(u) = 2*u. Calculate c(z(q)). 98*q Suppose -2*r = -r - 3. Let d(o) = -4*o**2 + o**2 - r*o**2 + 3*o**2. Let g(i) = -i. Give d(g(q)). -3*q**2 Let i(r) be the second derivative of r**3/6 - 4*r. Let q(o) = -7*o**2. Calculate i(q(u)). -7*u**2 Let z(x) = 6*x + 2. Let o(l) = -l**2 - 56. Calculate z(o(h)). -6*h**2 - 334 Let p(h) = 2 + 8*h - 3*h - 2. Let c(v) be the second derivative of -v**4/12 - v. What is p(c(k))? -5*k**2 Let n(j) = -268*j. Let q(w) = w**2. Give q(n(t)). 71824*t**2 Let z(n) = -10*n**2 + 40*n. Let t(x) = -2*x. Give z(t(j)). -40*j**2 - 80*j Let h(p) = -8*p**2 + 4*p. Let g(j) = -10*j + 4*j**2 + 13*j**2 + j. Let d(m) = -4*g(m) - 9*h(m). Let r(a) = 3*a - 2*a + a. Give r(d(q)). 8*q**2 Let i(w) = -8*w**2. Let p(t) = 263*t. Give p(i(m)). -2104*m**2 Let f(c) = -5*c**2 - 4. Let y(t) = -107*t**2. What is y(f(x))? -2675*x**4 - 4280*x**2 - 1712 Let x(l) = -l**2. Let i(q) be the third derivative of 0*q**3 + 8*q**2 - 7/12*q**4 + 0*q + 0. What is i(x(y))? 14*y**2 Let g(f) be the third derivative of f**4/8 - 5*f**2. Let o(m) be the second derivative of -m**4/12 - 2*m. Calculate g(o(n)). -3*n**2 Let q(k) be the second derivative of 0*k**3 - 1/12*k**4 + 0 + 0*k**2 + k. Let f(b) be the third derivative of b**4/6 + b**2. Give f(q(w)). -4*w**2 Let u(r) be the first derivative of -r**5/60 + 4*r**3/3 - 6. Let x(h) be the third derivative of u(h). Let w(o) = -2*o. Give x(w(p)). 4*p Let i(h) = -14*h. Let o(b) = 0 + 416*b - 409*b + 0. Calculate o(i(a)). -98*a Let q(z) be the second derivative of -z**3/6 + 4*z. Let n(u) = 4*u. Give n(q(b)). -4*b Let n(z) = 2*z. Let t(y) = -37*y**2 + 7. Give n(t(l)). -74*l**2 + 14 Let k(a) = -a + 0*a + 8*a. Let j(q) = -q. Give j(k(g)). -7*g Let s(v) be the third derivative of -v**5/60 - 10*v**2. Let x(w) = -w - w + 0*w. Give s(x(b)). -4*b**2 Let g(b) = -4*b + 5*b - 4*b + 4*b. Let o(y) = -y - 2*y + 0*y. What is o(g(w))? -3*w Let p(u) = 169*u**2. Let r(a) = -a. Calculate p(r(x)). 169*x**2 Let v(i) = 359*i. Let x(u) = -4*u. Determine v(x(o)). -1436*o Let p(t) = -2*t**2. Let d(i) = -934*i - 4. Give p(d(m)). -1744712*m**2 - 14944*m - 32 Let m(c) = -c**2 - c. Let h be m(-1). Let w(g) = h*g + 3*g - 4*g. Let q(d) = 3*d**2. Calculate q(w(z)). 3*z**2 Let k(i) = 128*i**2. Let t(h) = 2*h. Calculate t(k(b)). 256*b**2 Let k(c) = -10*c + 12. Suppose 5 + 7 = -h. Let m(s) = -4*s + 5. Let o(r) = h*m(r) + 5*k(r). Let d(b) = -2*b**2 + 0*b**2 + 3*b**2. What is d(o(a))? 4*a**2 Let b(w) be the third derivative of w**4/8 - 2*w**2. Let j(y) = 3*y**2 + 4*y. Let n(g) = -g**2 - g. Let k(s) = j(s) + 4*n(s). Calculate b(k(t)). -3*t**2 Let h(u) = -3*u + 3. Let y(a) = 9*a. What is h(y(m))? -27*m + 3 Let v(m) = m. Let x(p) = p**2 + 6*p + 6. Let w(f) = 2*f**2 + 13*f + 13. Let j(c) = -6*w(c) + 13*x(c). Determine j(v(l)). l**2 Let w(i) = 2*i**2 + 18. Let k(t) = -732 + 732 - t**2. Determine w(k(s)). 2*s**4 + 18 Let t(w) = -2*w**2. Suppose -5*b = -12 - 8. Let v(d) = 3*d**2 + 2*d**2 - b*d**2 - 3*d**2. What is t(v(i))? -8*i**4 Let f(h) = -4*h + 2. Let g(y) = -7 + 12 - 6. Let p(w) = -f(w) - 2*g(w). Let u(m) = 3*m. Give u(p(v)). 12*v Let f(x) = 27*x. Let r(l) = l. Give r(f(d)). 27*d Let i(o) = 4*o - 19. Let l(w) = 57*w. Give i(l(p)). 228*p - 19 Let a(v) = 2*v**2. Let u(w) be the first derivative of -w**4/8 + 3*w**2/2 - 3. Let j(z) be the second derivative of u(z). Determine j(a(q)). -6*q**2 Let y(j) = -2*j + 29. Let u(z) = -2*z**2. Calculate y(u(v)). 4*v**2 + 29 Let c(v) = -7 + 7 - 6*v**2 + 14*v**2. Let u(b) = b - 1. Let l(p) = -2*p**2 + 10*p - 10. Let w(m) = l(m) - 10*u(m). Give w(c(z)). -128*z**4 Let n(x) = -4*x**2. Let j(i) = 15*i + 18. Let k(v) = v + 1. Let u(y) = j(y) - 18*k(y). Determine u(n(q)). 12*q**2 Let d(x) be the second derivative of -x**6/360 + x**4/4 + 2*x. Let z(m) be the third derivative of d(m). Let l(j) = -j. Determine z(l(w)). 2*w Let a(v) = -v. Let d(u) = 508*u. Calculate d(a(o)). -508*o Suppose 3*j - 2 = 4. Let i(c) = -j*c + 0*c + 3*c. Let q(a) be the first derivative of -a**2/2 - 3. Calculate i(q(x)). -x Let x(o) = -2*o**2 + 6*o**2 + 2*o**2 + o**2. Let w(q) = 4*q. Calculate x(w(s)). 112*s**2 Let z(y) = -2*y**2. Let g(r) be the third derivative of 1/8*r**4 + 0*r**3 + 0*r + 2*r**2 + 0. What is z(g(a))? -18*a**2 Let k(a) = -8*a. Let s(v) be the second derivative of -v**4/12 + v. What is k(s(r))? 8*r**2 Let z(m) = -58*m. Let f(y) = 5*y**2. Give f(z(o)). 16820*o**2 Let s(b) = -3*b**2 - 4*b. Let h(i) = -i**2 - i. Let l(n) = -4*h(n) + s(n). Let p(k) = -35*k. Determine p(l(w)). -35*w**2 Let m(i) = 0*i**2 - 9*i**2 + 6*i**2. Let t(b) = b. Give m(t(a)). -3*a**2 Let h(z) = 15*z + 9. Let k(s) = 2*s**2. Give k(h(t)). 450*t**2 + 540*t + 162 Let a(r) = -2*r**2. Let i(d) be the second derivative of -d**6/360 + d**4/6 - d. Let u(p) be the third derivative of i(p). What is u(a(n))? 4*n**2 Let k(s) = s. Suppose -2*a = -a - 2. Let v(q) = -12*q**2 + 7*q**2 + 7*q**a. Give k(v(n)). 2*n**2 Let u(n) = -n + 28. Let p(f) = f**2. Calculate u(p(q)). -q**2 + 28 Let y(c) be the second derivative of -c**3/6 + 3*c. Let n(h) be the third derivative of -h**5/20 - 2*h**2. Give n(y(g)). -3*g**2 Let c(i) = i - i - 2*i**2 + 0*i**2. Let p(y) = 47*y**2. What is p(c(f))? 188*f**4 Let k(d) = -1658*d**2. Let q(y) = -2*y**2. Determine k(q(i)). -6632*i**4 Let a(q) = 2*q**2. Let u(b) = -630*b. Determine a(u(v)). 793800*v**2 Let y(p) = 5010 - 5010 + 3*p. Let c(j) = 6*j + 8. Let a(w) = -4*w - 5. Let o(i) = 8*a(i) + 5*c(i). Calculate y(o(b)). -6*b Let h(i) = 0*i + i - 14 + 14. Let g(j) = 4*j**2. What is h(g(y))? 4*y**2 Let n(h) = -7*h**2. Let y(c) be the third derivative of c**6/180 + c**3/2 + 3*c**2. Let q(m) be the first derivative of y(m). Calculate n(q(f)). -28*f**4 Let x(o) be the third derivative of o**4/12 + 2*o**2. Let s be ((-4)/1)/(4/(-10)). Let t(d) = 3 - 3 + 7*d - s*d. What is t(x(c))? -6*c Let b(j) = -10*j - 2. Let l(p) = 11*p**2. Determine l(b(v)). 1100*v**2 + 440*v + 44 Let n(m) = -16 - 4*m - 21 + 35. Let j(d) = -2*d**2. What is j(n(z))? -32*z**2 - 32*z - 8 Let u(r) be the first derivative of 3*r**3/2 + 2*r + 2. Let x(k) be the first derivative of u(k). Let o(i) = 2*i**2. Calculate o(x(w)). 162*w**2 Let q(g) = 5*g. Let u(x) = 8*x**2 + 17*x. Let c(m) = -3*m**2 - 6*m. Let y(s) = -17*c(s) - 6*u(s). What is y(q(b))? 75*b**2 Let z(o) = 4*o. Let j(b) = -2*b + 22. Let w be j(11). Let m(n) be the second derivative of 2*n + w + 0*n**2 + 1/3*n**3. Calculate z(m(q)). 8*q Let y(w) = -2*w**2 + 13. Let c(q) = 158 - 2*q + 5*q - 158. Calculate y(c(a)). -18*a**2 + 13 Let k(c) = c. Let p(f) = -5*f**2 - f**2 - 2 + 2. Give k(p(x)). -6*x**2 Suppose -4*k = -2*y - 16, -5*y - 2*k = 2*k - 16. Let q(o) be the second derivative of -2*o + 0*o**2 + y - 1/3*o**3. Let w(z) = 3*z. Give w(q(s)). -6*s Let d(a) = a. Let k(g) = 3*g. Let b(y) = -y - 2. Let m be b(5). Let c(q) = 4*q. Let l(z) = m
{ "pile_set_name": "DM Mathematics" }
). 9 Let d(r) be the second derivative of r**3/6 + 5*r**2 + 8*r + 1. Calculate d(-11). -1 Let c(i) = i**2 + i + 4. Let q = -104 - -109. Suppose g - 19 = -1. Suppose -q*m = 4*r + 8 + g, -5*r + 2*m = 16. Calculate c(r). 16 Suppose -98*p - 321 = 267. Let o(w) = -w**3 - 8*w**2 - 10*w - 9. Calculate o(p). -21 Let o(c) = 1 - 2*c**2 + 1 + c**2. Suppose -36*m + 50*m + 21 = -21. Give o(m). -7 Let a(o) = o**2 - 7*o - 10. Let l be (6/4)/(51/34) + 2. Suppose -4*z + 39 = 5*p - l*z, z - 7 = -p. Calculate a(p). -2 Let n(i) be the second derivative of 0*i - i**3 + 10*i + i. Determine n(2). -12 Let m = -7 - 0. Let x(q) be the third derivative of -q**6/360 - q**5/15 + q**4/12 - 3*q**2. Let h(d) be the second derivative of x(d). Give h(m). 6 Let r(z) = -z**3 - 13*z**2 + 14*z + 7. Let s be r(-14). Let l be 58/7 - 2/s. Suppose -l = -a - 1. Let p(k) = k**2 - 8*k + 3. What is p(a)? -4 Suppose 3*i + 3 = -2*u, -3 + 8 = 5*i. Let l(m) = -7*m**2 + 14*m**2 - 2*m - 9*m**2. What is l(u)? -12 Let y(h) = h + 4*h - 4*h - 1. Let u(l) = -2*l + 10. Let n(c) = u(c) + 3*y(c). What is n(-7)? 0 Let h(c) = -2*c**2 - 7*c + 8. Let n(m) = m**2 + m - 2. Let x(j) = h(j) + 3*n(j). Determine x(3). -1 Let v(t) = t**2 + t + 13. Let a be -4*(1 + 12/(-8)) + 0. Let z be 2*a/4*0/(-19). Give v(z). 13 Let g(d) = -2*d - 9. Let o = 239 + -118. Suppose 13*f + o = 43. Determine g(f). 3 Let j(r) = -5*r**3 + 2*r**2 - r - 2. Let k(d) = 12*d**3 - 3*d**2 + 3*d + 3. Let a(o) = 7*j(o) + 3*k(o). What is a(-4)? 3 Let i(v) be the first derivative of -4*v + 2*v**2 - 1/4*v**4 - 4/3*v**3 + 20. Calculate i(-5). 1 Let p(l) = l**3 - 3*l**2 - 2*l + 5. Let x be (-3)/(21/(-4)) - (-153)/63. Calculate p(x). -1 Let a(t) = t**3 + 2*t**2 - t + 2. Let h be a(0). Let l(b) = 3*b - 2 + 3*b**2 - h - b + 2*b**3 + 2. Calculate l(-2). -10 Let f be (-1 - -3)/((-10)/(-105)). Let x(t) = t - 12 - 5*t**2 - t**3 - 14 + f. What is x(-5)? -10 Let i(l) = -l**2 + 17*l - 19. Suppose 0 = 2*g - 91 + 59. What is i(g)? -3 Let j(n) be the second derivative of -5*n + 1/24*n**4 - 2*n**2 + 0*n**3 + 0. Let u(c) be the first derivative of j(c). Give u(3). 3 Let m(x) be the first derivative of -4*x**2 + x + 289. Let y be 2/(-6) + (-4)/6. Calculate m(y). 9 Let v(l) be the second derivative of -l**7/840 - l**6/40 - l**5/30 + l**4/8 - 9*l**3/2 - 13*l. Let p(s) be the second derivative of v(s). What is p(-8)? -29 Let w = 9 - 4. Suppose w*g = -5, 0*y - 3 = y + 3*g. Let z(b) = -b**3 - b**2 - b + 5. Determine z(y). 5 Let z(h) = h**3 - h**2 + h + 1. Let l(f) = 8*f**3 - 7*f**2 + 8*f + 5. Let w(d) = l(d) - 6*z(d). Suppose a = -b - 2*a - 11, 2*a + 8 = 0. Determine w(b). 2 Let b(m) = 0 + 2*m**2 + m + 3 - 3*m. Let y be (2/5)/(3/510). Let c = y + -66. Give b(c). 7 Let n(g) = -g - 22. Let f be n(-26). Let d(i) = -4*i - i**3 - i + i**2 + f*i**2 + 4 + 4*i. Calculate d(4). 16 Let s(h) = 2*h**3 + 12*h**2 + 21*h + 5. Let w = -76 - -85. Let k(j) = 5 + 6*j**2 + j**3 - 3 + 10*j + 0. Let m(i) = w*k(i) - 4*s(i). Determine m(-5). -7 Let g(d) = -d**3 - 3*d**2 - 2*d - 2. Let v be g(-3). Suppose -4*p + 2*i + 12 = -p, -4*p + v*i + 16 = 0. Let j(w) = p*w - w**2 - 4 + w + 1. Determine j(3). 3 Suppose -168 = -4*f + 3*f. Let u be (1/(-2))/(21/f). Let z be 12/(-10)*(-10)/u. Let q(p) = p**3 + 2*p**2 - 4*p + 1. Calculate q(z). 4 Let t(v) = -16 + v**3 - 2567*v + 5110*v - 2563*v - 20*v**2. Determine t(21). 5 Let p(c) be the third derivative of c**6/8 - c**3/6 + 836*c**2. Suppose d = -3*d + 8. Suppose 6 = d*r - y, 0 = -5*r - 3*y + 1 - 8. Calculate p(r). 14 Let r(d) = 0*d + d + 12*d + 35*d**3 - 34*d**3 + 12*d**2 + 21. Give r(-11). -1 Suppose 0 = 5*z + 2*h - 36, -12 = -z - 4*h + 2*h. Let u(r) = 4*r**3 + 7*r + 0*r - 9 - 3*r**3 + z*r**2 + 13. Determine u(-4). 8 Let u(c) = 2*c + 9. Let o(v) = -v - 1. Suppose -3*t = -n, 4*n - t = 3*t - 8. Let a(b) = n*o(b) - u(b). What is a(7)? 1 Let t(n) = 2*n - 3. Let m(a) = 5*a - 21. Let p(f) = m(f) - 3*t(f). Give p(-7). -5 Let h(b) be the third derivative of -b**5/30 + 3*b**4/4 - 3*b**3/2 + 2*b**2 + 157*b. Calculate h(8). 7 Let b(d) = -d + 16. Let t be b(16). Suppose 5*o = 3*o + 2. Let v(q) = q**3 + q**2 + 3*q - 10. Let y(l) = -l + 1. Let u(w) = o*v(w) + 3*y(w). What is u(t)? -7 Let i(v) = 2*v + 27. Let u = 134 + -147. Give i(u). 1 Let l(v) = v**3 - 8*v**2 + 9*v - 8. Let w = -9 - -14. Suppose -4*y + 3*c = -9 - 10, -3*c - 26 = -w*y. Determine l(y). 6 Let q(r) = -r**3 + 4*r**2 + 6*r - 8. Suppose 26*u - 13*u - 65 = 0. Determine q(u). -3 Let v(b) = -2*b - 9. Suppose 4*l - 210 = -l. Let y be ((-4)/(-12))/((-2)/l). Calculate v(y). 5 Let u(f) = 3*f - 22. Suppose 21 = 3*x - 0*v + 3*v, 40 = 4*x - 2*v. Calculate u(x). 5 Let b(q) = -7*q**2 + 2*q + 1. Let r(m) = m**2 - 8*m - 16. Let n be r(10). Suppose 0 = 3*i - n*x - 5, 5*x + 7 = -3. Determine b(i). -8 Let h(l) = -3*l + 5. Let j be h(2). Let a be (j/(-3))/(4/(-24)). Let b(n) = -5*n - 5. Let m(v) = 25*v + 26. Let w(s) = -11*b(s) - 2*m(s). Give w(a). -7 Suppose 24 + 4 = -3*n + 5*z, 0 = 5*n - 2*z + 15. Let b(s) = 26*s**2 - s - 1. Give b(n). 26 Let x = 7 - 17. Let s be (12/x)/((-5)/(-25)). Let d be (-6)/2 + s/(-1). Let k(q) = -q**2 + 2*q - 3. Give k(d). -6 Suppose -2*a - 3*a = 0. Let b = a + -5. Let w(z) be the third derivative of z**6/120 + z**5/15 - 5*z**4/24 - 2*z**3/3 + 36*z**2. What is w(b)? -4 Let m = -1143 - -1143. Let b(o) = o**3 - 2*o + 57. Determine b(m). 57 Let a(n) = 3*n**2 - n - 24. Let q be a(0). Let s be (0/(-1))/(q - -26). Let u(i) = i**2 - i + 6. What is u(s)? 6 Let u(p) = p**3 - 12*p**2 + 19*p + 8. Let s be u(10). Let g(a) be the third derivative of -a**4/6 - a**3/2 - 2*a**2. Give g(s). 5 Let p(b) = 9*b**2 + 7*b - 15. Let i(c) = -2*c**2 + c - 1. Let q(r) = -5*i(r) - p(r). Give q(9). -7 Let z(u) be the first derivative of u**4/4 - 4*u**3/3 - 5*u**2/2 + 5*u + 3. Let s be z(5). Let m = s - 4. Let y(l) = -2*l**3 - 2*l**2 + l. Give y(m). -3 Let h be (-1 - -1) + ((-264)/(-12))/11. Let q(v) = -7*v**2 - v**3 - 8*v + 3 + 0*v**h + 2*v. Suppose 5*i - 8*t = -3*t - 35, 2*t = 2. What is q(i)? 3 Let h(p) = p**2 - 9*p - 29. Let q be h(-3). Let n(k) = 6*k + 0*k - 2*k + 10 - k**2. Give n(q). -11 Let k = -205 - -209. Let f(l) = -l**3 + 5*l**2 - 2*l + 3. Determine f(k). 11 Let s(t) = -t + 14. Let g be s(10). Let c(d) = -1 - d**3 + 0*d**3 - g*d + 4*d**2 - 1. What is c(4)? -18 Let d(c) = c**2 - 4*c + 6. Let y = 35 - 32. Let p be d(y). Let q(m) = m**2 - 4. Calculate q(p). 5 Suppose 0 = -2*w - 2*w + 2*a - 34, 27 = -2*w + 3*a. Let h(t) be the second derivative of t**3/3 + 3*t**2/2 + 3*t. What is h(w)? -9 Suppose -w + 69 = 2*w + 4*i, 0 = 4*w - i - 73. Suppose -m = -5*m + 32. Let k(p) = m*p - w*p + 6*p + 3*p. Give k(1). -2 Let f be 5/(5 - 0 - 9/2). Let j(x) = -x**2 + 10*x + 8. Give j(f). 8 Let u(d) = d - 25. Let g(s) = 10*s - 275. Let v(a) = -6*g(a) + 65*u(a). Calculate v(-6). -5 Let w(m) be the first derivative of 8*m - 1/4*m**4 + 13 - 1/2*m**2 + 2*m**3. Determine w(6). 2 Let t(v) = -v + 9 - 2*v**2 + v**3 - 8*v**2 + 4*v**2 + 0*v**2 - 7*v. Give t(6). -39 Let c(k) = -4*k**2 + 14*k + 12. Suppose 0 = -2*v - 3*o - 5, -3*v - 25 = -6*v + 2*o. Let y(s) = 5*s**2 - 15*s - 13. Let q(u) = v*y(u) + 6*c(u). Determine q(-8). -1 Let y be (12/(-14))/((-12)/84). Let c(p) = p**2 - 34. Let v be c(y). Let h(j) = j**3 + j**2 + j - 2. Determine h(v). 12 Let m(l) = -2*l - 2. Let j(a) = -a**2 - 6*a - 5. Let h be j(-5). Suppose h = 4*w - 19 - 29. Let n = 10 - w. Give m(n). 2 Let o(s) = 2*s**3 + 17*s**2 + 9*s + 18. Let z(i) = -3*i**3 - 25*i**2 - 13*i - 27. Let g(c) = -7*o(c) - 5*z(c). Determine g(-6). -3 Let a(m) = -2*m**2 + 33*m - 4. Let u be a(16). Let d(l) = -3*l + 30. What is d(u)? -6 Let n be 4/14 - (-36)/(-28). Let b(v) = 29*v**2 - 2*v**2 - 125*v - 5*v**2 + 125*v. Give b(n). 22 Let p(s) = -s**2 - 6*s - 6. Let c be (2 - 1/(-3)) + 4/6. Suppose -l = -0*r + 2*r - 5, -2*r = c*l + 5. Calculate p(l). -1 Let z be (6/9)/(-2*(-1)/(-12)). Let d(q) = 3*q + 8. What is d(z)? -4 Let p = -17 + 7. Let d(i) = -12*i + 6. Let v(g) = 2*g - 4. Let a(m) = -d(m) - 5*v(m). Give a(p). -6 Suppose 508 = 48*b - 116. Let y(v) = -v + 15. Give y(b). 2 Let u(s) = s**2 + 8*s + 6. Let z(x) = -1. Let b(n) = 2*n + 21. Let y(o) = -b(o) + 2*z(o). Let w be y(-9). Determine u(w). -9 Let t = -30 - -34. Suppose -j = -t*j. Let a = 3 - j. Let g(c) = 2*c**2 - 4*c. Give g(a). 6 Let g = 35 + -33. Le
{ "pile_set_name": "DM Mathematics" }
3. 6 Let b = 4240984498/2145 + -1977149. Find the common denominator of b and -76/165. 2145 Suppose -167*g - 55*g = 24*g - 2460. Let d = 229 + -121. Suppose 169 = 3*c + 4*m, 3*c + d = 4*m + 293. What is the lowest common multiple of g and c? 590 Let y = -16466461/744 + 595062/31. Let t = y + 2943. Let p = -581 + 5210/9. What is the common denominator of p and t? 72 Let r = -35 - -33. Let k be r/((-2)/1)*-1. Let c = k - -23. Calculate the least common multiple of c and 16. 176 Let i = -210268451/4130 - -356388/7. Find the common denominator of -127/60 and i. 3540 Calculate the common denominator of 8/(-120)*(21/168 + (-1373)/24) and -29/132. 396 Suppose 0 = -4*h + 4*c + 292, 3*c = -h - c + 58. Let w = -106 - -260. What is the lowest common multiple of w and h? 770 Let a = 18/125 + 5427/1375. Let l be 0 - 6*(-1985)/10. Let i = 8375/7 - l. Find the common denominator of a and i. 77 Let g = -894 + 550. What is the common denominator of -91/60 and (2 + g/60)*(-6)/(-4)? 60 Suppose -9*c = -c + 176. Let w = c + 20. Let b = 32 - w. Calculate the least common multiple of b and 8. 136 Let q = -37 - -61. Suppose 24 - 4 = 2*h - 4*y, 2*y + 74 = 5*h. Suppose 468 = h*a - 3*a. Calculate the smallest common multiple of a and q. 72 Let n = 43/114 + 47/228. Find the common denominator of n and ((-77)/114*-2)/1. 228 Let s(b) be the third derivative of -23*b**4/24 - 13*b**3/2 - 82*b**2. What is the smallest common multiple of s(-2) and 5? 35 Let d be 4 + 7 + -1 + 1. Suppose 5*g - d*g = -192. Calculate the smallest common multiple of g and 2. 32 What is the lowest common multiple of 12 and ((-470)/6)/((-12)/108)? 2820 Let r = 12403/60 + -1231/6. Let p = 28/95 - -211/380. Find the common denominator of p and r. 20 Suppose 7*a = 22*a - 1695. Let m = -111 + a. Find the common denominator of 19/48 and 2 - 0 - ((-390)/(-96) + m). 48 Suppose -55048 = -4*h - 2*v, -4*h + 27492 = -2*h - 3*v. Calculate the lowest common multiple of h and 21. 96306 Suppose 2*v = -5*d + 4412, 0 = 4*v - 26 + 2. Calculate the lowest common multiple of 11 and d. 880 Let x be 3552/56 + (3/(-7) - -1). Let j be (-6)/21 - 95/35. Calculate the common denominator of (j + (-4)/(x/116))/4 and 5/11. 176 Calculate the common denominator of 156/(-36) + 5 - (-146)/(-165) and 8/52 - 3356/(-832). 880 Calculate the common denominator of (-6)/9 + ((-11)/(-2) - -1) and 43/306. 306 Suppose k - 4*b = 0, -49*b + 22 = 2*k - 46*b. Calculate the smallest common multiple of 0/(-2) - (-24 - -20) and k. 8 Suppose 5*p = -4*w + 4941, 2540*w + 2*p + 3723 = 2543*w. What is the smallest common multiple of 21 and w? 1239 Suppose 0 = -v + 2*l - 4, 4*v + 30*l - 4 = 33*l. Let a = 77155/2 - 4976534/129. Find the common denominator of (-2)/(-25) - v*3918/(-1600) and a. 1032 Calculate the smallest common multiple of (64/16 - (-30)/(-4))*(-1512)/441 and 42. 84 Let w be -2*4/24 - 22/6. Let t(v) = -v**3 - 3*v**2 + 3*v. Let n be t(w). Suppose -n*p + 97 = 49. Calculate the smallest common multiple of 24 and p. 24 Let m = -82448/285911 - 8903891247637/48604870. Let v = m + 183189. What is the common denominator of v and (-1)/2 - 2/8? 340 Let a(t) = -131*t - 103. Calculate the lowest common multiple of a(-3) and 696. 3480 Suppose 3889*o - 3907*o + 12888 = 0. Calculate the least common multiple of 2 and o. 716 Let t = -5 + 5. Suppose t = 15*v - 17*v - 4. What is the common denominator of -32 and 2/18 + v/6? 9 Let l = 251267 - 2030733/8. Let f = -2562 - l. Calculate the common denominator of -19/142 and f. 568 Calculate the lowest common multiple of 30 and ((-546)/(-28))/((-4)/(-168)). 8190 Let k = 11 - -12. Let n = 28 - k. Suppose 2*d = n*d - 60. Calculate the least common multiple of 22 and d. 220 Let l = -420784459/2640 - -159388. Calculate the common denominator of 28/9 and l. 7920 Let u(z) be the third derivative of z**5/6 - z**4/8 - z**3 - z**2. Suppose -308*i - 824 + 107 = -101. Calculate the least common multiple of 5 and u(i). 40 Let t = 31 - 33. Suppose 3*q - 4*w - 1207 = 285, 5*q - 2456 = -w. Calculate the least common multiple of (0 - -1)/t*q/(-6) and 1. 41 Suppose -8*h - 200 + 2712 = 0. Let b = h + -313. Calculate the lowest common multiple of 6 and b. 6 Let k be (25/10)/(1/(-6)). Let w = 16 + k. Find the common denominator of 12/17 and (9 + w)*(-9)/12. 34 Let d = 86 - -171. Let q = -239 + d. Suppose 3*f = -2*u + 2*f - 1, 4*u = 3*f + 23. What is the least common multiple of q and u? 18 Suppose 2164 = 8*m + 4*l, 2*m + 7*l - 5*l = 542. What is the lowest common multiple of 225 and m? 1350 Suppose -3*w - 5*l + 634 = 0, -2*w - l + 490 - 79 = 0. What is the lowest common multiple of w and 5? 1015 Let x be (-2)/8 + (4 - 6/8). Let q be -6*x/6*-3. Suppose 41 + q = -2*s. Calculate the common denominator of s and -19/16. 16 Let q be (2042/(-66))/(2/1299). Let a = 46722 + -66821. Let n = q - a. Calculate the common denominator of n and 5/8. 88 Let m(w) = 4*w**2 - 21*w - 5. Let x be m(-6). Calculate the common denominator of 47/9 and (-5)/x*402/18. 477 Let l = -5063/740 - -144/37. What is the common denominator of l and 30/(-4)*(111/9 - 6)? 20 Let q be (93/(-62) - (-273)/10)*45. Calculate the lowest common multiple of q/(-86)*2/(-3)*1 and 34. 306 Suppose -3*u - 12 = 0, 44 = -4*i - 2*u + 6*u. Let k be -1*(-132)/9*-6. Find the common denominator of (22/i)/(k/(-605)) and -3/20. 60 Suppose 108*r - 4*z = 112*r - 5036, 3*r - 3*z = 3813. Calculate the lowest common multiple of 506 and r. 2530 Suppose -97326*d = -97335*d + 90. What is the least common multiple of d and (0 - 1)/(2/(-16))? 40 Let s = 23 - 20. Suppose -i = s, -i - 180 = -5*t + 4*i. What is the lowest common multiple of 66 and t? 66 Let f = 6973 - 5968. Calculate the lowest common multiple of f and 2345. 7035 Calculate the common denominator of 51/638 and (-18694)/572 + 4/22. 638 Suppose -430 = -16*u + 21*u. What is the common denominator of (u*2/192)/((-2)/(-3)) and 47? 32 Find the common denominator of ((-39)/7)/(25/10 + -1) and 5/((-630)/(-92))*42/56. 42 Suppose 0 = -5*u - 0*u + 15. Let h = 9802 - 9797. What is the lowest common multiple of u and h? 15 Let i = -788289/412318 + 1/12127. What is the common denominator of 0 - (-3)/30*30/4 and i? 68 Let i(x) = x - 4. Let d be i(0). Let r(u) = u**3 + 5*u**2 + u - 3. Let a(z) = -19451*z + 97258. What is the smallest common multiple of r(d) and a(5)? 9 Let w(l) = 16*l**2 - 189*l - 4. Suppose b + 45 = 6*b. Let f = b + 7. Calculate the smallest common multiple of w(12) and f. 32 Suppose -11*u + 88 = -7*u. What is the smallest common multiple of 8 and 2408/308 - (-4)/u? 8 Suppose -23*l = -654 + 194. Calculate the least common multiple of 4430 and l. 8860 Let i be 2/11 - 1520/(-110) - 1. Suppose -i = 5*j - 5*q - 88, j - 19 = -3*q. What is the smallest common multiple of 42 and j? 336 Let p = 507227/120 - 4227. Find the common denominator of -13/9 and p. 360 Let x(n) = -n**3 + 10*n**2 + n - 128. What is the lowest common multiple of x(7) and 364? 364 Let v(j) be the third derivative of -7*j**4/24 + 157*j**3/6 - 172*j**2 - 2*j. What is the smallest common multiple of (-53)/(-3) + 2/6 and v(19)? 72 Suppose 2*p = 36*p - 918. What is the common denominator of (13 - 7) + (-122)/p and ((-31)/5)/((-36)/(-15))? 108 Let r = 20986/17 + -1234. Find the common denominator of r and -29/85. 85 Let s = 2240 + -100739/45. Calculate the common denominator of -18/25 and s. 225 Let s(y) = -2*y**2 - 2*y**2 + y**3 - 5*y**2 - 5 + 8*y + 3*y**2. Suppose 2*b - 4 = 4*u, 0 = -4*u + 5*u - 4. What is the smallest common multiple of s(5) and b? 10 Suppose 10 = 4*a + 5*o - 29, 3 = o. Let n(q) = -q**3 + 15*q**2 + 17*q + 4. Let d be (-6)/12*-22 - (1 + -6). What is the lowest common multiple of n(d) and a? 60 Suppose -3*s - 3*a - a = -10795, 7*a = 3*s - 10751. Let p = 57419/16 - s. Let v = -112577/16926 - -10/1209. What is the common denominator of p and v? 112 Suppose -126*s + 244512 = -78*s. Calculate the lowest common multiple of s and 1415. 25470 Let u = 225364/51585 + -1/2715. Let s = -2977/190 + u. Find the common denominator of 5 + -1 + (-57)/(-10) and s. 10 What is the smallest common multiple of 88 and (9317/(-3025) - 2/(-25)) + 110? 9416 Let c = -1611020/63 - -25571. What is the common denominator of 125/54 and c? 378 Suppose 0 = 3*f - 0*f - 24. Let j = f + 8. Sup
{ "pile_set_name": "DM Mathematics" }
the remainder when 309 is divided by 13 + r/(-5 + 6). 9 Let k = -1 - 16. What is the remainder when (-17 - -13)/((-1)/k*-2) is divided by (16/(-12))/((-3)/27)? 10 Suppose 35 = 66*z - 61*z, 4*w - 134 = -2*z. Calculate the remainder when 785 is divided by w. 5 Suppose 5*n - 2*d = 2*d + 30, -4*d = 5*n + 10. Let u(k) = 3*k - 4. Let m be u(n). Suppose -3*w + m = -4. What is the remainder when 6 is divided by w? 0 Suppose 833 = -8*n - 1423. Let w be 6/8 - (n/8 - -6). Suppose -182*j + w = -180*j. Calculate the remainder when j is divided by 5. 0 Let d = 232 + -191. Let z = -211 - -454. What is the remainder when z is divided by d? 38 Let y = -145 - -187. Suppose y*r = 17*r + 650. Calculate the remainder when r is divided by 16. 10 Let u = -248 - -174. Let y = -66 - u. Calculate the remainder when 3 - (-11 - 3 - 3) is divided by y. 4 Let w = -434482 + 434490. Let s be -1*5/(-2)*-4. What is the remainder when (6 - 1)*(-52)/s is divided by w? 2 Let m(c) = 2*c**2 + 118*c - 93. What is the remainder when 2428 is divided by m(-61)? 12 Let f = 69 - 26. Let j(m) = 2*m**2 - 5*m - 37. Let d = 461 - 465. Calculate the remainder when f is divided by j(d). 13 Suppose 3*n - 68 = i - n, -2*i = 3*n + 92. Let a = 33 + i. Let q(j) = -j**3 - 18*j**2 + 17*j - 18. What is the remainder when q(a) is divided by 12? 8 Let i(c) = 196*c + 1990. What is the remainder when 98 is divided by i(-10)? 8 Suppose -39*g + 44*g - 1009 = 2*z, 2*g + 3*z - 396 = 0. What is the remainder when g is divided by 59? 24 Suppose -5*d - 4312 + 47 = -5*n, -n + 2*d + 856 = 0. What is the remainder when n is divided by 8? 2 Let g(z) = -z**3 - 15*z**2 - 42*z - 133. What is the remainder when 209 is divided by g(-13)? 59 Suppose 0 = 376*p - 426*p + 6950. What is the remainder when p is divided by 95? 44 Suppose 83 = 4*a + 3*b, 371*b + 39 = 2*a + 370*b. What is the remainder when 219 is divided by a? 19 What is the remainder when (-178)/534*(-879)/1 is divided by 104? 85 Let z = -182 - -181. What is the remainder when (z/(-2))/(4/(-5 - -525)) is divided by 17? 14 Let b(h) = 25*h + 1 + 24*h - 46*h. Let d be b(5). Let r = 46 - d. Calculate the remainder when r is divided by 16. 14 Let p(g) = 2*g**2 + 21. Let x = 356 - 294. What is the remainder when p(5) is divided by x? 9 Let k = -34 + 34. Suppose k = y + 3*y. Suppose y = 8*d - 127 - 689. Calculate the remainder when d is divided by 26. 24 Suppose 16*t - 658 - 20 = -70. Calculate the remainder when 441 is divided by t. 23 Let l be (3 - -1) + -6 - -29. Let c = l + -6. Calculate the remainder when c is divided by 2. 1 Let a be (0 - -1)/(3/309). Suppose 4*r - a = -35. Let w(b) = b**3 - b**2 + 6*b - 31. Calculate the remainder when r is divided by w(3). 2 Let b(w) = -w**3 + 5*w**2 - 1. Suppose 0 = -10*q + 305 + 58 + 947. Calculate the remainder when q is divided by b(3). 12 Suppose 2*w + 3*r = 20, -2*w - 13 = 5*r - 41. Suppose -2*k + 105 = z, w*k - 115 = 5*z + 74. What is the remainder when k is divided by 30? 21 Suppose 26*i = 3220 + 1564. Let g = -47 + -4. Let y = -14 - g. What is the remainder when i is divided by y? 36 Let t = -7 + 46. Suppose 17 = 3*s + 2*i, 10*s + 13 = 13*s + 4*i. Suppose -2*l + 684 = s*l. What is the remainder when l is divided by t? 37 Let j = 33 + -29. Suppose 4*z - 2*g = 3*z + 333, -4*g = -j*z + 1320. What is the remainder when z is divided by 15? 12 Let i(j) = j**2 - 259*j - 10047. What is the remainder when 926 is divided by i(-35)? 197 Suppose c + a - 30 = 0, -5*c + 9*a + 110 = 4*a. What is the remainder when (((-474)/5)/(-2))/(c/130) is divided by 30? 27 Let d(m) = m**3 + 15*m**2 - 2*m - 150. What is the remainder when 1113 is divided by d(-14)? 3 Suppose 0*q - 2*q + 34 = -2*z, -3*q + 21 = -z. Let y(r) = r**2 + 15*r + 62. What is the remainder when 179 is divided by y(z)? 55 Suppose -24 - 140 = -4*d. Suppose 7*t = -111 - 253. Let h = -31 - t. Calculate the remainder when d is divided by h. 20 Suppose -290*d - 1952 = -306*d. What is the remainder when d is divided by 30? 2 Suppose 12*l + 9458 + 15556 = 34*l. What is the remainder when 1150 is divided by l? 13 Let c be ((-4)/(-14))/(6/84). Let h be c*3/30 - (-14930)/50. Suppose 0 = 2*r + 2, -r + h = -5*w + 870. What is the remainder when w is divided by 23? 22 Let j(t) = 7*t + 15*t - 1 - 10*t. What is the remainder when j(2) is divided by 11? 1 Let d = -5463 - -5576. Calculate the remainder when 1353 is divided by d. 110 Let u(b) = 23*b - 49. Let t be u(7). Let f(z) = -3*z. Calculate the remainder when 48/t - (-172)/7 is divided by f(-5). 10 Let m(h) = -h + 13*h + 8*h + 3*h**2 + 68 - 2*h**2. What is the remainder when 20 is divided by m(-17)? 3 Calculate the remainder when 1 - (-68 + -1 + 1) is divided by (-2 + 72/16)/((-25)/(-360)). 33 Let k = -107 + 271. Calculate the remainder when k is divided by (-159)/(-1272)*(296 + 0). 16 Suppose -3*o + 4*o = -2, 2*b + 4*o - 96 = 0. Suppose 3 = -j + 12. Suppose 30 = j*k - 78. Calculate the remainder when b is divided by k. 4 Suppose 15*l = 3*l. What is the remainder when 188 is divided by (-21)/((-1 + l)*(11 + -10))? 20 Let v(m) = -m**3 + 10*m**2 - 21*m - 17. Let q be v(5). Suppose -z + 2*t = -20, -q*z - 27 = -3*t - 81. What is the remainder when 23 is divided by z? 7 Let b(a) = -39*a. Let z be b(-1). Let d be (-36)/(-30)*220/6. Let r = d - z. Calculate the remainder when 12 is divided by r. 2 Suppose -3*b = c - 102, -2*c = -5*b - 0*c + 181. What is the remainder when 498 is divided by b? 8 Let j(p) = 51*p**2 + 84*p - 165. Calculate the remainder when j(2) is divided by 53. 48 Let m = -34888 + 34909. Calculate the remainder when 1083 is divided by m. 12 Suppose -24 = -15*w + 9*w. Calculate the remainder when 37 is divided by ((w/5)/(20/150))/1. 1 Let l be ((-309)/12)/((-9)/36). Let q = l - 61. Calculate the remainder when q is divided by 38. 4 Let n be (-84)/(-35) + 4/(-10). Suppose -4*o - n*u + 112 = 0, -2*o = -2*u + 5*u - 52. What is the remainder when o is divided by (192/60)/(4/10)? 5 Suppose 1925 = 40*p - 35*p. Let i = 911 + -833. What is the remainder when p is divided by i? 73 Suppose 0 = -2*r - 4*c + 20, 2*r - 14 = -3*c + 3. Suppose 4*n = 3*n + r*l + 5, -l = -4. What is the remainder when 74 is divided by n? 11 Calculate the remainder when (-27)/55 - 6/(-15) - 333094/(-638) is divided by 66. 60 Suppose 15*y = 3*y + 4172 - 908. Calculate the remainder when y is divided by 28. 20 Suppose 58423 - 8554 = 14*l + 13*l. Calculate the remainder when l is divided by 388. 295 Let u(s) = -s**2 - 38*s - 300. What is the remainder when 3465 is divided by u(-12)? 9 Suppose -64 = 4*q - 80. Suppose 300 = -q*a + 7*a. Let l = -54 + a. What is the remainder when l is divided by 16? 14 Let m(w) = w**3 - w**2 + 8. What is the remainder when ((-78)/15093*-43)/(1/603) is divided by m(0)? 6 Suppose 5*k = 5*w + 90, -3*k - 47*w + 53 = -49*w. Suppose 0 = -4*h + 36 + 228. What is the remainder when h is divided by k? 15 Suppose -5*a - 3*q + 463 = 0, 4*q = 33*a - 35*a + 188. What is the remainder when 899 is divided by a? 71 Let n = -64 + 43. Calculate the remainder when (-705)/n - (-28)/(-49) is divided by ((10 + 2)*4/8)/1. 3 Let w(z) = -137*z + 2197. What is the remainder when 421 is divided by w(15)? 137 Let t = 10520 + -10516. Calculate the remainder when 1900 is divided by t. 0 Let s(k) = -k**3 + 0*k**3 - 3*k**3 + 12*k**2 + 5*k**3 + 13*k + 13. Let x be s(-11). What is the remainder when x/3 - (1 - -1)*-7 is divided by 2? 1 Suppose -147 = -4*t + 5*o, -o - 100 = -2*t - 19. Suppose 0 = 14*m - 32*m + 2196. Calculate the remainder when m is divided by t. 36 Let x(y) = y**3 + 6*y**2 + 2*y + 1. Let g(j) = 16*j + 303. Let s be g(14). Let r = 599 - s. Calculate the remainder when r is divided by x(-4). 22 Let o(m) = 257*m**2 + 15*m + 1. Let g be o(2). Let p = -1037 + g. Calculate the remainder when (173/(-2))/((-1)/2) is divided by p. 19 Let d(x) = x**2 - 32*x - 16. What is the remainder when d(-11) is divided by 14? 9 Suppose 0*a - 15 = -a + 5*s, -3*a + 3*s = -9. Suppose a = -12*p + 8*p + 76. Let c = -38 + 45. Calculate the remainder when p is divided by c. 5 Suppose 5*r - 8*r + 3*d = -426, -10 = 5*d. Suppose 0 = -11*o + 25*o - r. What is the remainder when ((-92)/(-10))/(1/5) is divided by o? 6 Let g(o) = -23*o + 79 + 40*o + 47. Calculate the remainder whe
{ "pile_set_name": "DM Mathematics" }
1476 What is the common denominator of 68/75 and 37/24? 600 What is the smallest common multiple of 16 and 72? 144 Calculate the smallest common multiple of 5 and 11. 55 Calculate the common denominator of -87/440 and -81/980. 21560 Find the common denominator of -99/260 and 71/936. 4680 What is the common denominator of 5/448 and 39/64? 448 Calculate the common denominator of 4 and -53/121. 121 Calculate the smallest common multiple of 370 and 20. 740 What is the smallest common multiple of 30 and 21? 210 Find the common denominator of 89/1228 and 95/16. 4912 Calculate the smallest common multiple of 44 and 77. 308 Find the common denominator of -23/6556 and -69/308. 45892 Calculate the common denominator of 21/10 and 9/719. 7190 Calculate the common denominator of -43/326 and 131/30. 4890 Calculate the common denominator of -5/18 and -163/1350. 1350 What is the common denominator of 83/2610 and -7/116? 5220 What is the common denominator of -133/240 and 5/96? 480 Calculate the least common multiple of 8 and 2440. 2440 What is the lowest common multiple of 119 and 70? 1190 Calculate the smallest common multiple of 98 and 42. 294 What is the lowest common multiple of 54 and 48? 432 What is the lowest common multiple of 49 and 91? 637 What is the smallest common multiple of 7 and 1340? 9380 What is the smallest common multiple of 33 and 90? 990 Calculate the smallest common multiple of 3960 and 385. 27720 What is the common denominator of 89/30 and -19/13600? 40800 Calculate the least common multiple of 12 and 104. 312 Calculate the common denominator of 17/72 and 107/56. 504 Calculate the smallest common multiple of 104 and 16. 208 What is the common denominator of -70/3 and 37/970? 2910 Calculate the common denominator of 29/190 and -25/536. 50920 What is the common denominator of -35/222 and 40/1221? 2442 What is the least common multiple of 4 and 10? 20 What is the least common multiple of 246 and 410? 1230 Find the common denominator of 117/20 and 17/406. 4060 What is the least common multiple of 1214 and 18? 10926 What is the common denominator of -83/4 and -27/58? 116 What is the common denominator of -61/16 and 125/72? 144 Calculate the smallest common multiple of 100 and 732. 18300 Calculate the least common multiple of 96 and 48. 96 Find the common denominator of 73/10 and -79/11974. 59870 What is the lowest common multiple of 92 and 12? 276 Find the common denominator of -9/52 and 22/169. 676 What is the common denominator of -30/121 and 107/286? 3146 Calculate the lowest common multiple of 9 and 1. 9 Calculate the smallest common multiple of 238 and 25. 5950 Calculate the common denominator of -49/24 and 55/1488. 1488 What is the lowest common multiple of 1141 and 489? 3423 Calculate the lowest common multiple of 24 and 84. 168 What is the lowest common multiple of 625 and 115? 14375 What is the common denominator of 145/10032 and 123/2090? 50160 Calculate the common denominator of 58/3795 and 5/22. 7590 Calculate the common denominator of -107/18 and 10/1311. 7866 Calculate the common denominator of 99/1216 and 77/96. 3648 Find the common denominator of 53/231 and 73/63. 693 Calculate the smallest common multiple of 180 and 9720. 9720 Calculate the common denominator of -97/138 and 13/14. 966 Calculate the lowest common multiple of 2589 and 12. 10356 Calculate the least common multiple of 112 and 14. 112 Find the common denominator of 19/930 and -37/75. 4650 Find the common denominator of 91/1620 and -49/720. 6480 Calculate the common denominator of -11/27 and 33/64. 1728 What is the lowest common multiple of 9 and 69? 207 Find the common denominator of 11/861 and 3/7. 861 What is the common denominator of -41/770 and -137/210? 2310 What is the lowest common multiple of 380 and 190? 380 Find the common denominator of -26/11 and -55/9. 99 Calculate the lowest common multiple of 20 and 4632. 23160 What is the least common multiple of 2355 and 1256? 18840 Find the common denominator of 95/44 and 61/20. 220 Calculate the common denominator of -59/2694 and 119/12. 5388 Calculate the least common multiple of 172 and 112. 4816 What is the least common multiple of 6 and 8873? 53238 Calculate the common denominator of -1/7491 and 82/15. 37455 What is the smallest common multiple of 1580 and 36? 14220 Calculate the least common multiple of 741 and 247. 741 Calculate the common denominator of -68/3 and -21/2026. 6078 Find the common denominator of -95/648 and 1/648. 648 What is the smallest common multiple of 266 and 266? 266 Calculate the least common multiple of 184 and 253. 2024 What is the common denominator of -83/42 and -123/20? 420 What is the smallest common multiple of 22 and 204? 2244 What is the least common multiple of 781 and 213? 2343 What is the lowest common multiple of 6 and 2934? 2934 Calculate the common denominator of 2/73 and -19. 73 What is the smallest common multiple of 40 and 350? 1400 What is the common denominator of -19/901 and 37/4? 3604 What is the least common multiple of 868 and 36? 7812 What is the common denominator of 37/133 and -15/76? 532 What is the common denominator of 7/3956 and 47/43? 3956 What is the smallest common multiple of 171 and 4? 684 Calculate the lowest common multiple of 301 and 258. 1806 What is the smallest common multiple of 21 and 30? 210 What is the smallest common multiple of 4752 and 288? 9504 What is the common denominator of -101/22 and -77/5062? 55682 Calculate the smallest common multiple of 5 and 324. 1620 Calculate the least common multiple of 24 and 26. 312 Calculate the lowest common multiple of 50 and 24. 600 What is the common denominator of -41/255 and 1/136? 2040 What is the least common multiple of 270 and 540? 540 Calculate the common denominator of 47/250 and -61/4. 500 Calculate the smallest common multiple of 39 and 15. 195 Calculate the common denominator of 7/8 and -27/2. 8 What is the lowest common multiple of 2434 and 14? 17038 What is the lowest common multiple of 4 and 232? 232 Calculate the lowest common multiple of 2 and 68. 68 Calculate the least common multiple of 21 and 465. 3255 Calculate the smallest common multiple of 284 and 16. 1136 Find the common denominator of -41/17810 and -25/8. 71240 What is the least common multiple of 10 and 100? 100 What is the common denominator of 109/36 and -49/52? 468 What is the common denominator of 99/640 and 49/384? 1920 Find the common denominator of -25/558 and -117/20. 5580 What is the lowest common multiple of 180 and 30? 180 Calculate the common denominator of -25/119 and -157/42. 714 Calculate the least common multiple of 10535 and 5. 10535 Calculate the common denominator of 1/273 and 47/24. 2184 What is the common denominator of -145/48 and -63/92? 1104 Find the common denominator of -95/48 and -83/88. 528 Calculate the common denominator of -22/689 and -89/4. 2756 What is the least common multiple of 16 and 872? 1744 Calculate the smallest common multiple of 10 and 667. 6670 Calculate the smallest common multiple of 90 and 72. 360 Calculate the common denominator of -47/3432 and -77/48. 6864 Calculate the common denominator of -87/284 and 5/16. 1136 Calculate the smallest common multiple of 80 and 150. 1200 What is the lowest common multiple of 10388 and 5936? 41552 Calculate the lowest common multiple of 12 and 686. 4116 Calculate the common denominator of -49/260 and -47/104. 520 Find the common denominator of 79/1136 and 81/20. 5680 What is the smallest common multiple of 44 and 128? 1408 Calculate the common denominator of -71/2158 and 157/78. 6474 What is the smallest common multiple of 224 and 1? 224 What is the common denominator of -13/27 and -145/366? 3294 Find the common denominator of -43/75 and -47/315. 1575 What is the common denominator of 145/72 and 83/20148? 120888 What is the lowest common multiple of 3025 and 1100? 12100 Find the common denominator of 99/28 and 95/56. 56 What is the smallest common multiple of 60 and 604? 9060 What is the common denominator of -41/2216 and 25/2? 2216 Calculate the smallest common multiple of 2295 and 2550. 22950 What is the lowest common multiple of 341 and 93? 1023 What is the common denominator of -55/12 and -29/56? 168 What is the smallest common mu
{ "pile_set_name": "DM Mathematics" }
77? 37432 In base 14, what is 0 - -22321? 22321 In base 10, what is -17 - -673? 656 In base 7, what is -2 - -3334? 3332 In base 11, what is -11 + 69757? 69746 In base 14, what is -16 + 228b4? 2289c In base 8, what is -5 - -303237? 303232 In base 5, what is -22 + 3441? 3414 In base 7, what is 3 - -3605544? 3605550 In base 2, what is -11 - -10101110? 10101011 In base 15, what is -1c6 + 8c? -139 In base 5, what is -1 + 3324423? 3324422 In base 6, what is -45 - -1204? 1115 In base 6, what is 1014002 - -1? 1014003 In base 12, what is -b9871 + -3? -b9874 In base 14, what is 1027 - -37d? 13a6 In base 15, what is -33ca - -1? -33c9 In base 12, what is 1a83 + 9? 1a90 In base 11, what is -7964 - -4? -7960 In base 3, what is 20 + -102222112? -102222022 In base 16, what is d8 - 0? d8 In base 8, what is 125 + 766? 1113 In base 10, what is -1865 + 40? -1825 In base 15, what is 59807d - -4? 598082 In base 13, what is 91548 - -3? 9154b In base 10, what is -3 + 1947? 1944 In base 9, what is 115370 + 4? 115374 In base 9, what is 2 - -40135? 40137 In base 3, what is -100111122 - 122? -100112021 In base 4, what is 2113132032 + 3? 2113132101 In base 12, what is -2 - -216a0a? 216a08 In base 16, what is -1522e + 0? -1522e In base 4, what is 110 - 12103? -11333 In base 14, what is -13 + 611b? 6108 In base 7, what is -42136 + -31? -42200 In base 12, what is 3904265 - -5? 390426a In base 15, what is 162b6 + c? 162c3 In base 4, what is -1 - 10221200? -10221201 In base 4, what is 121212 + -11? 121201 In base 5, what is -3 + -322413? -322421 In base 4, what is 10 + 130101? 130111 In base 14, what is -d + 7c5? 7b6 In base 3, what is 21120212 + 11? 21121000 In base 15, what is 4da5 - -c? 4db2 In base 14, what is 2d6b - -14? 2d81 In base 10, what is 72356 + 4? 72360 In base 10, what is 6299 + -22? 6277 In base 14, what is -5 + -37c? -383 In base 16, what is f - -11e0? 11ef In base 7, what is -3 - -2041625? 2041622 In base 7, what is 106135 + -23? 106112 In base 13, what is -4b408 + -15? -4b420 In base 5, what is -311 + -22? -333 In base 5, what is 131304100 + 2? 131304102 In base 10, what is 15 + 74582? 74597 In base 9, what is -642142 - 5? -642147 In base 7, what is -3130436 - -23? -3130413 In base 15, what is -c - 1ee2c? -1ee39 In base 7, what is 16 + -15011? -14662 In base 14, what is 4 - -3d14? 3d18 In base 10, what is 28 - 9010? -8982 In base 11, what is 0 + 1636a? 1636a In base 10, what is -23 + 200015? 199992 In base 10, what is -6 + -1753642? -1753648 In base 3, what is -10221020 - 11012? -11002102 In base 15, what is 3b8 + 73e? b07 In base 5, what is 43210440 - 4? 43210431 In base 4, what is -1230 + 112000? 110110 In base 4, what is 22320121 - -1? 22320122 In base 13, what is 2c + -69a? -66b In base 10, what is 388 - 7? 381 In base 8, what is 4 + 64? 70 In base 8, what is 43 + 552551? 552614 In base 16, what is -2d0ae + 0? -2d0ae In base 15, what is -13 + 3290? 327c In base 13, what is 2 + 4c05? 4c07 In base 15, what is -10d0b + 7? -10d04 In base 4, what is 2 - -110210323? 110210331 In base 5, what is 12 + 1013130? 1013142 In base 15, what is -97 - -a14c? a0a5 In base 8, what is 0 - 12413? -12413 In base 12, what is 3 - -61223? 61226 In base 5, what is 101431 - -10? 101441 In base 14, what is 186 + -1c? 168 In base 4, what is -21310 + 33311? 12001 In base 14, what is -25cc6 - -5? -25cc1 In base 9, what is -7 + -462858? -462866 In base 10, what is 937 + -1195? -258 In base 5, what is 22323423 + -103? 22323320 In base 6, what is 242 + -5305? -5023 In base 9, what is 17 + 14537? 14555 In base 11, what is 3 - 43535? -43532 In base 15, what is 2 + 29e1a? 29e1c In base 15, what is -235b3 - -2? -235b1 In base 14, what is -2 - 1341d? -13421 In base 4, what is 11 - -22111211? 22111222 In base 14, what is 6b + -3a3? -336 In base 12, what is -293b - 296? -3015 In base 11, what is 3 + 4a3087? 4a308a In base 13, what is -a191 + -146? -a307 In base 7, what is 5 + 11624? 11632 In base 12, what is -59 + -5b9? -656 In base 7, what is 1110243 - -1? 1110244 In base 11, what is 1203660 - 2? 1203659 In base 6, what is -2525 + 315? -2210 In base 3, what is 100120010 + -1120? 100111120 In base 11, what is 4 + -14928? -14924 In base 11, what is -1a76 - 4? -1a7a In base 2, what is -100110101000 + -10? -100110101010 In base 2, what is -1001110001001 + 1000001110? -1000101111011 In base 12, what is -17 + 141202? 1411a7 In base 9, what is -183 + -4624? -4817 In base 6, what is -3 + 1321232? 1321225 In base 16, what is 5aaf1 - 4? 5aaed In base 2, what is 100010001000111001111 - -1? 100010001000111010000 In base 16, what is 36d042 - -1? 36d043 In base 14, what is -10b4 - 4? -10b8 In base 6, what is -1 + -1003314? -1003315 In base 3, what is -22220000020 + -20? -22220000110 In base 4, what is -22 + 21032222? 21032200 In base 16, what is 210 + 22? 232 In base 10, what is 379 + -1559? -1180 In base 15, what is 345a - 3e? 341b In base 5, what is -110011 - 34? -110100 In base 16, what is 313 - e1? 232 In base 15, what is 392728 - 2? 392726 In base 3, what is -11 - -1101102020? 1101102002 In base 11, what is 11693 + -9? 11685 In base 4, what is 1101322 + -2? 1101320 In base 2, what is -101 - -1001101111011011001? 1001101111011010100 In base 6, what is -435 + 12331? 11452 In base 2, what is -1001001101000111010 + 0? -1001001101000111010 In base 15, what is 3 + -775? -772 In base 13, what is 13b27 + 1? 13b28 In base 4, what is 1010332 + 0? 1010332 In base 6, what is 403 - -110? 513 In base 11, what is 19 + -459? -440 In base 11, what is -33 - -1189? 1156 In base 4, what is -22010 - 20? -22030 In base 3, what is 11 - 10101? -10020 In base 11, what is -217 + 227a? 2063 In base 7, what is -2031014 + -3? -2031020 In base 9, what is -3108 + -25? -3134 In base 4, what is -10 + 300022231? 300022221 In base 2, what is 10 - -10000000100000? 10000000100010 In base 14, what is 5 - -14c0? 14c5 In base 7, what is -304 - -1050? 443 In base 3, what is -1211 - 1011? -2222 In base 11, what is -3 + 109097? 109094 In base 5, what is 1230121134 + -2? 1230121132 In base 13, what is -3 - 8597? -859a In base 15, what is 113 + 1c8? 2db In base 12, what is -4483b - -1? -4483a In base 9, what is 57011 - -5? 57016 In base 9, what is -4 + -847130? -847134 In base 4, what is 101320222 + -20? 101320202 In base 3, what is 200 + 122202? 200102 In base 13, what is 59 - 7b0? -754 In base 8, what is 0 + -143461? -143461 In base 16, what is -9 - -c298f? c2986 In base 10, what is 1173 - 3? 1170 In base 6, what is -2454132 - -4? -2454124 In base 9, what is -28 + 30627? 30588 In base 7, what is 3144 + -604? 2240 In base 14, what is 3 + -d469b? -d4698 In base 15, what is -8 + -45307? -45310 In base 4, what is -10321111 + -20? -10321131 In base 9, what is 2227 - -15? 2243 In base 3, what is -2122 - 100122211? -100202110 In base 13, what is 10a85 - 3? 10a82 In base 13, what is 1c506 + -3? 1c503 In base 3, what is -100122 - -200121? 22222 In base 3, what is 12 + -10022112212020? -10022112212001 In base 15, what is -15e90 + -4? -15e94 In base 6, what is 1141324 - -3? 1141331 In base 13, what is -586 - -c9? -48a In base 14, what is -57a6 - -7? -579d In base 2, what is 1000 - -1001001? 1010001 In base 16, what is 0 - -1f58f? 1f58f In base 11, what is 5461 - 17? 5445 In base 14, what is 91 - -59? 10a In base 7, what is 443340 + -3? 443334 In base 10, what is 72474 + -16? 72458 In base 3, what is 212010 + -10222? 201011 In base 16, what is 1d + -e5e6? -e5c9 In base 14, what is -2341 + -1d? -2360 In base 8, what is 2702633 + -4? 2702627 In base 16, what is -7 + -d? -14 In base 14, what is 280a18 + -2? 280a16 In base 12, what is -6a81 + 3? -6a7a In base 8, what is 156 + -5255? -5077 In base 11, what is -6 + -1801? -1807 In base 2, what is 100110100 + -100001111011101? -100001010101001 In base 3, what is 210 + -1210010? -1202100 In base 4, what is 102 - 11103302? -11103200 In base 6, what is 5 + 1020403? 1020412 In base 7, what is -4 + 6621? 6614 In base 4, what is -1001322110 + 22? -1001322022 In base 8, what is 574261 - 1? 574260 In base 9, what is -435738 - 2? -435741 In base 14, what is 2 + -1a18? -1a16 In base 13, what is b - -38a5? 38b3 In base 13, what is -377 + -369? -713 In base 12, what is 8 + b599? b5a5 In base 13, what is 34 + -49? -15 I
{ "pile_set_name": "DM Mathematics" }
o three dps? -0.111 Round 9.7478882 to three dps. 9.748 What is 29430010 rounded to the nearest 1000000? 29000000 What is 0.01096625 rounded to five decimal places? 0.01097 Round -0.964077 to 3 decimal places. -0.964 Round 2725.2855 to the nearest 100. 2700 What is 0.0000032370017 rounded to seven decimal places? 0.0000032 What is 0.000564401 rounded to 4 decimal places? 0.0006 Round 0.00000559482 to seven decimal places. 0.0000056 Round -2.01408 to 0 decimal places. -2 Round -3498090 to the nearest 10000. -3500000 What is -246396.9 rounded to the nearest ten thousand? -250000 What is -0.001361274 rounded to four dps? -0.0014 What is 6105.03 rounded to the nearest 10? 6110 What is 0.0000185222 rounded to seven dps? 0.0000185 Round -0.0000109117 to seven dps. -0.0000109 What is -308.5708 rounded to the nearest 10? -310 What is -1186490 rounded to the nearest ten thousand? -1190000 Round 4.83968 to 1 decimal place. 4.8 What is 0.27865371 rounded to 3 dps? 0.279 Round 0.0000127699 to 7 dps. 0.0000128 Round 0.0000389814 to six dps. 0.000039 Round -201864.1 to the nearest 100. -201900 Round 2242470 to the nearest ten thousand. 2240000 Round 229.134 to the nearest integer. 229 Round -43855810 to the nearest one million. -44000000 What is -0.61680746 rounded to one dp? -0.6 What is -197.2444 rounded to one dp? -197.2 Round 0.0021601065 to four dps. 0.0022 What is 0.01024281 rounded to 5 dps? 0.01024 What is 0.00372892 rounded to four decimal places? 0.0037 What is -1018350400 rounded to the nearest 1000000? -1018000000 What is 17.98611 rounded to two decimal places? 17.99 What is 0.086235349 rounded to 5 dps? 0.08624 What is 6938.27 rounded to the nearest 10? 6940 Round -146.89474 to the nearest ten. -150 What is 93543013 rounded to the nearest ten thousand? 93540000 Round 95466900 to the nearest 100000. 95500000 What is -0.00000221236 rounded to 6 dps? -0.000002 Round 8557911 to the nearest ten thousand. 8560000 What is 0.002065995 rounded to 6 decimal places? 0.002066 Round -552.185 to the nearest 100. -600 What is 0.0007174718 rounded to 7 dps? 0.0007175 What is 20772530 rounded to the nearest 10000? 20770000 What is -8.275 rounded to 0 dps? -8 Round -128.087 to zero decimal places. -128 What is -740956700 rounded to the nearest 1000000? -741000000 What is -0.0000009930448 rounded to seven dps? -0.000001 Round -124003.25 to the nearest 100. -124000 Round -0.005055152 to 5 dps. -0.00506 Round -2.27058 to the nearest 10. 0 What is 0.856008 rounded to 2 dps? 0.86 What is -101122.9 rounded to the nearest ten thousand? -100000 What is 0.00003696645 rounded to 7 dps? 0.000037 Round -206891.1 to the nearest ten thousand. -210000 What is 2445432000 rounded to the nearest 1000000? 2445000000 What is 41292.28 rounded to the nearest 1000? 41000 What is 0.00001186753 rounded to six decimal places? 0.000012 Round -36.131 to 0 dps. -36 What is -0.7982184 rounded to 3 dps? -0.798 What is -33.185475 rounded to one dp? -33.2 What is 217314800 rounded to the nearest 1000000? 217000000 Round -6669.436 to the nearest one thousand. -7000 Round -0.15184074 to two decimal places. -0.15 Round 66.52478 to the nearest 10. 70 What is 0.0353078 rounded to 1 dp? 0 What is 30392.026 rounded to the nearest 100? 30400 Round 8583.1 to the nearest 100. 8600 What is -0.066615097 rounded to three decimal places? -0.067 What is 2780.541 rounded to the nearest integer? 2781 What is 0.00013679933 rounded to 5 dps? 0.00014 What is -54551691 rounded to the nearest ten thousand? -54550000 What is 61396 rounded to the nearest 10000? 60000 Round -2.948189 to 1 dp. -2.9 Round -0.67316 to two dps. -0.67 Round 0.00174494 to 3 decimal places. 0.002 What is -632230 rounded to the nearest 1000? -632000 What is -0.0124061 rounded to four decimal places? -0.0124 Round 0.2133939 to four dps. 0.2134 Round -1344408 to the nearest one hundred thousand. -1300000 Round -450.007 to the nearest 10. -450 What is 0.00028115 rounded to five dps? 0.00028 What is 0.6388182 rounded to two dps? 0.64 What is 80.864 rounded to one decimal place? 80.9 What is -0.0327842 rounded to 3 decimal places? -0.033 Round -0.0002297242 to five decimal places. -0.00023 Round -0.3399574 to four dps. -0.34 Round 359985.4 to the nearest 10000. 360000 Round -1236.0022 to 0 decimal places. -1236 What is 18464890 rounded to the nearest ten thousand? 18460000 Round -0.000718823 to 6 dps. -0.000719 What is -3599635.3 rounded to the nearest ten thousand? -3600000 Round 1255564 to the nearest one hundred thousand. 1300000 What is 0.00003984817 rounded to six decimal places? 0.00004 What is 6372902.4 rounded to the nearest one million? 6000000 What is -42595000 rounded to the nearest 1000000? -43000000 What is 156.819 rounded to 0 decimal places? 157 What is -4853681000 rounded to the nearest 1000000? -4854000000 Round -17342530 to the nearest 1000000. -17000000 Round 20515.5 to the nearest 10000. 20000 Round -11341.64 to the nearest 10. -11340 Round -245.8193 to the nearest integer. -246 What is -0.00390517 rounded to 3 decimal places? -0.004 What is -0.375569 rounded to three dps? -0.376 What is 0.0000010256973 rounded to 7 decimal places? 0.000001 What is -1881773 rounded to the nearest one million? -2000000 What is -416369 rounded to the nearest 1000? -416000 Round -5768.5 to the nearest one hundred. -5800 Round -10.02214 to one decimal place. -10 Round 3082.34 to the nearest ten. 3080 Round -53.46079 to zero decimal places. -53 Round 3142.412 to the nearest 1000. 3000 Round 0.00957177 to 5 decimal places. 0.00957 Round 93767700 to the nearest one million. 94000000 What is 18.45965 rounded to 2 decimal places? 18.46 What is -0.000024594276 rounded to 7 dps? -0.0000246 Round -0.0001761621 to seven decimal places. -0.0001762 What is -24260.1 rounded to the nearest one hundred? -24300 What is -19522.75 rounded to the nearest ten thousand? -20000 Round -0.0000009094086 to seven decimal places. -0.0000009 Round 5.694339 to 0 decimal places. 6 What is 0.02438535 rounded to 3 decimal places? 0.024 Round -7933510 to the nearest one thousand. -7934000 Round -30.19514 to 0 dps. -30 What is -0.006220391 rounded to four dps? -0.0062 Round -0.000012034 to seven dps. -0.000012 Round 28.40548 to the nearest ten. 30 Round 0.0299255 to two dps. 0.03 Round 0.0000108181 to six dps. 0.000011 What is 1763.7 rounded to the nearest 10? 1760 What is 10.92129 rounded to 0 decimal places? 11 What is -0.00040114311 rounded to seven decimal places? -0.0004011 Round -30043050 to the nearest ten thousand. -30040000 What is 26394.213 rounded to the nearest ten? 26390 What is 11435163 rounded to the nearest 1000000? 11000000 Round -34654.01 to the nearest 10000. -30000 Round 964215 to the nearest one thousand. 964000 Round -47705.247 to the nearest one thousand. -48000 Round -5.526762 to 2 dps. -5.53 Round 0.000571182 to six dps. 0.000571 What is -0.00895627 rounded to four decimal places? -0.009 What is 3240355.8 rounded to the nearest one hundred thousand? 3200000 What is 0.046394961 rounded to 5 decimal places? 0.04639 Round 14201.3 to the nearest 100. 14200 What is 0.6458615 rounded to two decimal places? 0.65 Round -0.242442 to two decimal places. -0.24 Round 1209887 to the nearest 1000000. 1000000 What is 0.1837056 rounded to 2 decimal places? 0.18 What is 14937.7 rounded to the nearest 10? 14940 Round -0.1935085 to four decimal places. -0.1935 Round -0.00045894 to 3 dps. 0 Round 0.0003904341 to 5 decimal places. 0.00039 Round -359479000 to the nearest 1000000. -359000000 Round 86.48736 to the nearest 10. 90 What is 468.52 rounded to the nearest one hundred? 500 Round -1.22071196 to 4 dps. -1.2207 Round 100.05003 to one dp. 100.1 Round -81.89291 to the nearest 10. -80 Round -494017600 to the nearest 1000000. -494000000 What is 196717 rounded to the nearest ten thousand? 200000 What is -1.75297 rounded to 2 dps? -1.75 What is -0.00000558813 rounded to 7 decimal places? -0.0000056 What is 224050610 rounded to the nearest one hundred thousand? 224100000 Round -0.00000017552995 to 7 decimal places. -0.0000002 What is 0.0000733283 rounded to seven decimal places? 0.0000733 Round 471770 to the nearest one million. 0 What is -0.00066405707 rounded to five decima
{ "pile_set_name": "DM Mathematics" }
r**2 + 55*r + 248. What is v(-50)? -2 Let c(q) = 3*q - 80. What is c(28)? 4 Let v(d) = -d**2 + 30*d - 209. What is v(12)? 7 Let x(v) = -v**2 - 15*v - 8. Determine x(-14). 6 Let c(m) = -m**2 - 10*m. Give c(-10). 0 Let k(q) = -q + 6. Give k(0). 6 Let r(m) = -m**3 - m**2 + 6*m + 5. Calculate r(-4). 29 Let k(f) = f**2 - 8*f + 3. Determine k(5). -12 Let w(a) = -a**3 + 6*a**2 - 3*a - 1. What is w(5)? 9 Let k(d) = 2*d - 3. What is k(3)? 3 Let b(y) = 8*y - 2. Calculate b(4). 30 Let u(v) = 147*v**3 + v**2 - v. Calculate u(1). 147 Let b(r) = -r**2 + 100*r - 659. Determine b(7). -8 Let h(y) = -y**3 - 4*y**2 + 5*y + 17. Calculate h(-4). -3 Let t(s) = -s**3 - 9*s**2 + 2*s + 9. Determine t(-9). -9 Let v(q) = q**3 - 6*q**2 + 4*q - 15. Give v(6). 9 Let m(t) = t**3 - 7*t**2 - 7*t + 13. Give m(8). 21 Let l(z) = 2*z**2 - 13. Determine l(7). 85 Let m(x) = x**3 - 11*x**2 + 16*x + 13. Determine m(8). -51 Let q(r) = r**3 + 10*r**2 - 23*r - 1. What is q(-12)? -13 Let q(m) = m**2 - m - 32. What is q(0)? -32 Let s(v) = v**3 + v**2 - v + 99. What is s(0)? 99 Let l(f) = 3*f - 19. What is l(18)? 35 Let l(n) = 3*n**3 + 8*n**2 + 2*n. Determine l(-3). -15 Let b(n) = n**3 + 5*n**2 - 5*n + 1. Determine b(-6). -5 Let j(d) = d**3 - 5*d**2 - 3*d + 5. What is j(3)? -22 Let c(z) = z + 19. Give c(9). 28 Let o(v) = -7*v**2 - 12*v + 3. What is o(2)? -49 Let x(i) = i**3 - 6*i**2 - 5*i - 22. What is x(7)? -8 Let q(r) = r - 20. Give q(20). 0 Let x(b) = -b**2 + 12*b + 3. Give x(12). 3 Let b(i) = -i**2 - 13*i - 19. What is b(-12)? -7 Let z(m) = 3*m**2 - 5*m - 19. Give z(3). -7 Let j(r) = -46*r + 59. Give j(1). 13 Let t(r) = r**2 + 70*r - 465. What is t(6)? -9 Let x(k) = 2*k**3 - 10*k**2 - 10*k + 1. Calculate x(6). 13 Let a(r) = r**2 + 21*r + 2. Determine a(-21). 2 Let l(j) = 3*j - 112. Give l(42). 14 Let c(n) = -76*n**2 + 6*n + 4. Determine c(-1). -78 Let q(m) = -5*m - 45. Determine q(-10). 5 Let z(q) = q**2 + 4*q + 5. What is z(-5)? 10 Let t(h) = -3*h - 4. What is t(10)? -34 Let s(h) = -h**2 + 43*h - 38. What is s(42)? 4 Let z(u) = 4*u - 33. Calculate z(8). -1 Let z(t) = -50*t - 532. Determine z(-11). 18 Let f(z) = -z**3 - z**2 + 3*z + 1. Calculate f(-2). -1 Let s(y) = y**2 - 15*y + 33. What is s(3)? -3 Let s(f) = -2*f**3 - 15*f**2 + 9*f + 5. What is s(-8)? -3 Let n(h) = h**3 - 8*h**2 + 4*h - 7. What is n(8)? 25 Let t(n) = -79*n - 79. Give t(-1). 0 Let t(i) = -2*i**3 - i**2 - 2*i - 4. Give t(-2). 12 Let u(m) = m**3 + 30*m**2 + 58*m + 28. Determine u(-28). -28 Let u(c) = c - 11. Determine u(4). -7 Let l(u) = u**3 - 3*u**2 - 13*u + 4. What is l(6)? 34 Let j(k) = -k**3 - 3*k**2 + 1. Determine j(-2). -3 Let s(k) = 2*k**2 + 10*k + 15. Calculate s(-4). 7 Let i(r) = 3*r - 14. What is i(6)? 4 Let j(t) = -t**3 + t - 49. Determine j(0). -49 Let x(d) = -d**3 + 14*d**2 - 11*d - 18. What is x(13)? 8 Let b(h) = -h**3 - h**2 + 10*h + 1. Determine b(-4). 9 Let a(r) = -r**2 + r + 12. Calculate a(0). 12 Let v(i) = 2*i**2 - 51*i - 38. What is v(26)? -12 Let g(f) = -f**3 - 2*f**2 + 5*f - 4. Give g(2). -10 Let z(y) = -19*y + 3. Determine z(2). -35 Let s(z) = -z**2 - 7*z + 15. Calculate s(-8). 7 Let h(g) = -g + 16. What is h(9)? 7 Let g(t) = -t**3 + 15*t**2 - 6. Give g(15). -6 Let f(j) = -j**2 - 8*j + 3. Determine f(-8). 3 Let a(g) = g**2 - 9*g - 17. Calculate a(8). -25 Let j(y) = -2*y**3 - 3*y**2 - 4*y + 2. Calculate j(-2). 14 Let l(t) = -5*t**2 + 2*t - 3. Calculate l(2). -19 Let x(w) = -w**3 - 5*w**2 - 3*w + 1. What is x(-5)? 16 Let k(o) = 3*o**2 - 3*o - 4. Determine k(4). 32 Let l(y) = y**2 + 9*y + 7. Give l(0). 7 Let u(q) = q**3 - q**2 - 2*q - 4. What is u(-2)? -12 Let n(t) = -t. Determine n(-6). 6 Let x(q) = 13*q + 7. Determine x(5). 72 Let y(l) = 3*l**2 + 15*l - 6. Determine y(-8). 66 Let s(v) = -v**3 - 36*v**2 - 69*v - 41. Determine s(-34). -7 Let k(o) = -2*o**2 + 8*o - 15. Give k(3). -9 Let a(r) = -311*r - 2184. Calculate a(-7). -7 Let m(g) = 22*g - 6. Give m(4). 82 Let w(f) = -4*f - 2. Give w(-2). 6 Let d(i) = -3*i**2 + 24*i + 54. Give d(-2). -6 Let w(x) = x**2 + 11*x + 28. Determine w(-5). -2 Let f(q) = -q**3 - 19*q**2 + 27*q + 1. Give f(-20). -139 Let n(v) = 159*v - 475. Calculate n(3). 2 Let s(m) = m + 9. Calculate s(-7). 2 Let x(q) = -3*q - 34. Determine x(3). -43 Let l(f) = 2*f - 1. Calculate l(10). 19 Let j(d) = 8*d**2 + 79*d - 22. Determine j(-10). -12 Let l(r) = 84*r + 591. Give l(-7). 3 Let j(r) = r**3 - 7*r**2 - 3*r - 4. Determine j(6). -58 Let m(h) = -h + 12. Calculate m(7). 5 Let a(n) = n**2 + 8*n. Determine a(-7). -7 Let w(r) = -r**3 - 26*r**2 - 25*r - 5. Give w(-25). -5 Let p(n) = -n**2 + 7. Calculate p(4). -9 Let z(p) = -20*p - 122. Determine z(-6). -2 Let l(k) = -k**3 + 33*k**2 + 31*k + 91. What is l(34)? -11 Let u(r) = r**2 + 11*r + 11. Determine u(-16). 91 Let k(s) = -2*s**3 - 11*s**2 + 4*s + 1. Determine k(-6). 13 Let s(k) = 20*k - 171. Calculate s(9). 9 Let p(l) = l**3 + 21*l**2 + 36*l - 18. Determine p(-19). 20 Let z(t) = t**3 - 13*t**2 + 2*t - 27. What is z(13)? -1 Let v(h) = -7*h + 36. What is v(5)? 1 Let u(i) = -i**3 + 2*i**2 + 11*i - 7. Give u(4). 5 Let v(a) = -a**3 + 5*a**2 + a - 11. Determine v(5). -6 Let g(z) = z**3 + 8*z**2 + 9*z + 12. Calculate g(-8). -60 Let p(c) = 10*c + 13. Give p(-4). -27 Let f(n) = n + 15. What is f(-15)? 0 Let w(z) = z**3 + 2*z**2 - 4*z - 4. Calculate w(-2). 4 Let a(k) = -3*k**2 + 7*k - 3. Calculate a(4). -23 Let d(y) = -y**2 - 11*y + 13. Determine d(-13). -13 Let r(s) = -7*s + 38. Give r(7). -11 Let i(m) = -m**2 - 8*m + 18. Give i(2). -2 Let i(f) = -17*f - 44. What is i(-3)? 7 Let g(d) = d**2 + 5*d - 13. Determine g(-11). 53 Let f(c) = -c**3 - 6*c**2 - c - 7. Determine f(-7). 49 Let x(c) = -c**2 + 12*c - 4. Calculate x(0). -4 Let u(t) = -t**2 + 14*t - 28. Give u(12). -4 Let o(i) = -20*i**2 - 2*i + 1. Give o(-2). -75 Let c(n) = 8*n**2 - 7*n - 8. What is c(-1)? 7 Let r(n) = 15*n - 3. Determine r(-3). -48 Let t(q) = -q**3 - 7*q**2 - 8*q + 7. Give t(-5). -3 Let g(c) = -5*c - 41. Give g(-8). -1 Let q(j) = j - 6. Calculate q(9). 3 Let q(r) = -10*r - 12. Determine q(-1). -2 Let q(o) = -3*o**2 + 93*o + 100. What is q(32)? 4 Let s(y) = y**2 + 3. Give s(-2). 7 Let s(v) = -8*v - 47. Give s(-5). -7 Let f(w) = w - 2. Determine f(14). 12 Let x(s) = 8*s - 2. Give x(4). 30 Let r(j) = -60*j - 174. Determine r(-3). 6 Let f(l) = -l**2 + 15*l - 51. What is f(7)? 5 Let k(x) = -5*x - 65. What is k(-15)? 10 Let m(n) = -39*n + 12. What is m(3)? -105 Let u(c) = -c**3 + 26*c**2 + 29*c - 93. Determine u(27). -39 Let v(r) = r**3 + 8*r**2 + 9*r + 5. Calculate v(-6). 23 Let l(h) = -7*h + 3. Calculate l(2). -11 Let t(m) = -3*m**2 + m - 3. Calculate t(1). -5 Let m(f) = f**3 + 12*f**2 + 12*f - 1. Calculate m(-11). -12 Let t(p) = p**2 - 6*p - 2. What is t(4)? -10 Let x(m) = m**3 + 3*m**2 - 2*m - 3. What is x(-5)? -43 Let p(l) = 25*l - 13. What is p(-4)? -113 Let j(o) = 14*o - 3. Give j(3). 39 Let m(l) = -35*l - 1. Give m(-1). 34 Let g(h) = h**2 + 22*h - 58. Determine g(-24). -10 Let g(i) = -39*i**3 - 2*i**2 + 2. What is g(-1)? 39 Let p(u) = 6*u + 4. Calculate p(-9). -50 Let f(x) = -8*x**2 - 1. Calculate f(1). -9 Let t(n) = n**3 + 11*n**2 + 10*n - 2. Calculate t(-10). -2 Let j(l) = -25*l - 472. Determine j(-19). 3 Let d(k) = k**2 - 9*k + 30. Determine d(6). 12 Let v(c) = c**3 - 7*c**2 + c. Calculate v(7). 7 Let j(m) = m**3 - 16*m**2 + 12*m + 35. Give j(15). -10 Let f(w) = 2*w**2 + 12*w + 7. Determine f(-5). -3 Let p(r) = -r**3 - 5*r**2 + 7*r - 1. Calculate p(-4). -45 Let m(r) = -r + 23. Determine m(2). 21 Let u(f) = 10*f + 47. Determine u(-15). -103 Let u(b) = -4*b**3 + 6*b**2 - 5*b + 6. Determine u(2). -12 Let m(n) = -n**2 + 56*n - 25. Calculate m(56). -25 Let o(f) = f**3 + 30*f**2 + 2*f + 68. Give o(-30). 8 Let p(q) = -15*q - 92. Determine p(-6). -2 Let d(q) = 9*q - 15. What is d(8)? 57 Let r(s) = -s**3 - 11*s**2 - 13*s - 38. Determine r(-10). -8 Let b(o) = -2*o**2 + 12*o - 6. Calculate b(5). 4 Let q(c) = 2*c**2 - 26*c + 27. Calculate q(13). 27 Let p(q) = -q - 2. Calculate p(1). -3 Let f(p) = p**2 - 3*p - 11. Determine f(5). -1 Let n(k) = -7*k + 7. Determine n(-9). 70 Let v(t) = -t**2 - 23*t - 51. Determine v(-23). -51 Let w(p) = -16*p + 18. Determine w(3). -30 Let l(w) = 80*w**3 - w. Give l(-1). -79 Let r(y) = -y**2 - 6*y - 6. What is r(-6)? -6 Let g(u) = 14*u + 90. Determin
{ "pile_set_name": "DM Mathematics" }
r be (-10)/(-3) - 0 - 3/9. Let o = -1 + r. Find the second derivative of -1100*d**o - 9*d**4 + 1100*d**2 - 3*d wrt d. -108*d**2 Find the second derivative of -478*n**4 + 1080*n**4 + 1431*n - 485*n**4 + 1769*n**4 wrt n. 22632*n**2 Let f(s) be the third derivative of 0*s + 282*s**2 + 35/2*s**3 - 11/12*s**5 + 0 - 1/12*s**4. Differentiate f(l) with respect to l. -110*l - 2 Let k(i) be the first derivative of -1259*i**3/3 + 1841*i - 6340. What is the first derivative of k(g) wrt g? -2518*g Let m(s) be the first derivative of s**6/8 + 50*s**3/3 - s**2 - 11*s + 6. Let i(d) be the second derivative of m(d). What is the first derivative of i(c) wrt c? 45*c**2 Let l(s) be the third derivative of s**7/70 + 1081*s**6/120 - 11*s**5/20 - 167*s**3/6 + 2638*s**2 + s. Find the third derivative of l(t) wrt t. 72*t + 6486 Let j(v) = v**2 - 6*v + 2. Suppose -4*i = -3*i - 6. Let u be j(i). Find the second derivative of -u*p**4 + 6*p**4 + 3*p**4 + 8*p wrt p. 84*p**2 Let n(r) be the second derivative of 664*r**6/15 - r**3/3 - 67*r**2 - 284*r. Find the second derivative of n(k) wrt k. 15936*k**2 Let x(p) be the third derivative of 73*p**7/5040 - p**6/15 + 31*p**5/60 + 62*p**2. Let v(z) be the third derivative of x(z). Differentiate v(b) wrt b. 73 Let i(w) = 7*w**3 - 85*w + 3. Let u = -84 - -87. Let d(l) = -l**4 + l**3 + 1. Let o(x) = u*d(x) - i(x). Find the second derivative of o(b) wrt b. -36*b**2 - 24*b Let q(u) be the first derivative of 4561*u**7/7 - 59*u**3/3 - 2*u - 2788. Find the third derivative of q(p) wrt p. 547320*p**3 Let x(u) be the third derivative of 10*u - 193/24*u**4 + 0*u**3 + 0*u**5 + 0 + 101/120*u**6 - 1/210*u**7 + 10*u**2. What is the second derivative of x(d) wrt d? -12*d**2 + 606*d Let b(d) be the first derivative of 63*d**5/20 + 34*d**2 + 24*d + 26. Let s(j) be the first derivative of b(j). What is the first derivative of s(g) wrt g? 189*g**2 Find the third derivative of 47077919 - 3932*i**3 + 3462*i**2 - 47077919 wrt i. -23592 Let a(d) = 10*d**2 - 2*d + 1. Let t be a(-2). Find the first derivative of -t + 74*n - 5 - 8 - 5 wrt n. 74 Let r(l) be the first derivative of -168/5*l**5 + 0*l**3 - 135*l + 174 + 0*l**2 + 0*l**4. Find the first derivative of r(u) wrt u. -672*u**3 Let g(c) = 5526*c**2 + 4871*c + 2. Let f(k) = -5519*k**2 - 4867*k - 2. Let a(x) = 3*f(x) + 2*g(x). Find the second derivative of a(s) wrt s. -11010 Let y(q) be the first derivative of 5 + 128/3*q**3 + 0*q + 0*q**2 - 97/4*q**4. Find the third derivative of y(l) wrt l. -582 Let x(n) be the second derivative of -n**6/10 - 319*n**5/20 - 283*n**4/12 - n**3/6 - 23*n + 1. What is the third derivative of x(h) wrt h? -72*h - 1914 Let y(s) be the second derivative of -211*s**7/14 - 709*s**4/12 - 812*s. Find the third derivative of y(t) wrt t. -37980*t**2 Let p(x) = 24*x**3 - 15*x - 45. Let v(u) = u**3 - 2*u + 1. Let m(q) = 2*p(q) - 14*v(q). What is the derivative of m(b) wrt b? 102*b**2 - 2 Let k(w) be the first derivative of -1799*w**6/6 + 2*w**3/3 - 525*w**2 - 703. Find the second derivative of k(j) wrt j. -35980*j**3 + 4 Suppose 29 - 3 = 2*s. What is the second derivative of -2*l**4 + 4 - 2 + s*l - 15*l + 5*l**4 - l**3 wrt l? 36*l**2 - 6*l Let c(d) be the first derivative of -77/4*d**4 + 65 - 1/2*d**2 + 97*d + 0*d**3. Find the second derivative of c(r) wrt r. -462*r Let l(c) = 11*c - 63. Let b be l(6). What is the second derivative of -b*k - 15*k - 6*k**2 + 4*k - 26*k - 2 wrt k? -12 Let a(s) be the first derivative of 31/5*s**5 + 0*s**2 + 72 + 1/4*s**4 + 0*s - 158/3*s**3. Find the third derivative of a(d) wrt d. 744*d + 6 Let u(p) = 3*p**2 - 3*p - 7 + 1496*p**3 - 1523*p**3 - 20. Let s(t) = t**3 - 2*t**2 + t + 1. Let j(o) = 2*s(o) + u(o). Find the second derivative of j(i) wrt i. -150*i - 2 Let m(h) be the first derivative of 4568*h**3/3 - 769*h - 4239. Differentiate m(z) wrt z. 9136*z Let x(p) be the second derivative of 69*p**5/10 + p**4/3 - 1013*p**3/6 - 475*p. Find the second derivative of x(k) wrt k. 828*k + 8 Let y(l) = 2*l**2 - 17*l. Let z(c) = 1102*c**2 + 2888*c. Let r(b) = -6*y(b) - z(b). What is the second derivative of r(u) wrt u? -2228 Let n(u) = 340*u**2 - 2827*u + 6. Let l(g) = 681*g**2 - 5658*g + 10. Let b(j) = 3*l(j) - 5*n(j). Find the second derivative of b(m) wrt m. 686 Suppose -10*y = 977 - 2777. Find the first derivative of -56*i**2 + 5 + 0 + 9 + y*i**2 wrt i. 248*i Let r = 218 - 217. Let j(d) = d**5 - 2*d**2 + 1. Let k(w) = 22*w**5 - 3*w**3 - 45*w**2 - 3. Let b(q) = r*k(q) + 3*j(q). Find the third derivative of b(h) wrt h. 1500*h**2 - 18 Suppose -2*z - 40 = 2*n + 74, 111 = -2*n + z. Let p be (-192)/n + (-3)/7. What is the third derivative of -8*v**6 + 11*v**6 + p*v**2 + 2*v**2 - 14*v**6 wrt v? -1320*v**3 Differentiate 11459 - 4457 - 5788 - 427*q**3 wrt q. -1281*q**2 Let z be (-91)/(-7) - (-12)/(-2). Find the second derivative of -z*l**5 + 4*l**3 + 24*l - 2 + 23*l - 49*l wrt l. -140*l**3 + 24*l Let y(s) be the third derivative of 0*s**3 + 0 + 11*s**2 + 1/30*s**5 - 1/35*s**7 + 0*s**6 - 1/3*s**4 + 3*s. Find the third derivative of y(q) wrt q. -144*q Let a(d) = -212 - 228*d**3 - 73 - 34*d**3 - 27. Let y(r) = 260*r**3 + 314. Let l(s) = -5*a(s) - 6*y(s). Find the first derivative of l(u) wrt u. -750*u**2 Find the third derivative of -162*d**4 + 29*d**4 - 1871*d**2 + 199*d**2 + d**5 + d**5 - 152*d**4 wrt d. 120*d**2 - 6840*d Let h(i) be the second derivative of -57*i**4/2 + 305*i**3/3 - 20*i. What is the second derivative of h(a) wrt a? -684 Let g = 395 - 289. Find the third derivative of 2 - 13*o**2 - 68*o**3 - g*o**3 + 7*o**2 - 65*o**3 wrt o. -1434 Let f(b) = -733*b**4 - 6*b**3 + 6*b + 185. Let s(d) = -1466*d**4 - 11*d**3 + 11*d + 370. Let u(t) = 11*f(t) - 6*s(t). Differentiate u(c) with respect to c. 2932*c**3 Find the third derivative of 1024*y**2 - 60*y**4 - 1208*y**2 - 79*y**3 - 2401*y**2 + 43*y**4 wrt y. -408*y - 474 Suppose 4*c + 2*c - 18 = 0. Suppose c*j = 2*j - 0*j. Find the third derivative of 15*p**2 + j*p**4 - p**4 + p**4 + 19*p**6 wrt p. 2280*p**3 Find the first derivative of 17*h + 108 - 59*h - 1398*h**4 + 28 + 42*h wrt h. -5592*h**3 What is the derivative of -983*p**3 - 158 - 46 + 36 - 1181*p**3 - 164 wrt p? -6492*p**2 Let x(j) = -15*j**3 - 4*j**2 - 12*j + 29. Let g(s) = s**3 - 2*s - 2. Let q(b) = 3*g(b) - x(b). What is the second derivative of q(d) wrt d? 108*d + 8 Let o(u) be the third derivative of 221*u**7/42 - 103*u**3 - 346*u**2. Differentiate o(r) with respect to r. 4420*r**3 Let o(a) be the first derivative of 42*a - 63 - 49/2*a**2. Differentiate o(s) with respect to s. -49 Suppose 0 = 43*s + 146 + 26. Let b(d) = -23*d + 126. Let f(t) = -t**2 - 24*t + 125. Let g(r) = s*b(r) + 3*f(r). Find the first derivative of g(z) wrt z. -6*z + 20 What is the third derivative of 3*x**6 - 4*x**6 + 161*x + 2*x**5 + 2*x**2 - 131*x - 164*x**4 - 2*x**5 wrt x? -120*x**3 - 3936*x Let g(p) be the second derivative of -38*p**7/3 - 3*p**4 - p**3/6 + 14*p - 22. Find the third derivative of g(k) wrt k. -31920*k**2 Find the first derivative of 259 + 330 + 38*s - 941*s**3 + 947*s**3 wrt s. 18*s**2 + 38 Let q be 2*(-2)/6*-24. What is the derivative of q + 25 + w**2 - 6*w**2 + 55*w**2 wrt w? 100*w Let f = 45 - 43. Suppose f*b = 4*y - 18, 7 = 2*y + 5*b + 28. What is the third derivative of -2*p**4 + 30*p**2 + 13*p**y + 40*p**6 + 2*p**4 wrt p? 4800*p**3 Let o(d) be the first derivative of 1028*d**7/7 + d**6/6 - 95*d**3/3 + 2*d**2 - 3579. What is the third derivative of o(g) wrt g? 123360*g**3 + 60*g**2 What is the third derivative of -549*l**3 + 117 + 420 - 1517*l + 755*l + 765*l + 2*l**2 - 4503*l**3 wrt l? -30312 Let u(q) be the first derivative of 86*q**4 + 10*q**3/3 - q**2/2 + 4237*q - 9964. Find the second derivative of u(n) wrt n. 2064*n + 20 Let j(y) = -66*y**2 + 20*y + 343. Let m(z) = 32*z**2 - 10*z - 171. Let i(v) = 4*j(v) + 9*m(v). What is the first derivative of i(r) wrt r? 48*r - 10 Let y(v) be the first derivative of -322*v**3 + 831*v**2 + 1139. Find the second derivative of y(x) wrt x. -1932 Let w = -24452 + 24452. Let u(x) be the third derivative of w + 4*x**3 - 1/12*x**6 + 0*x + 0*x**4 + 0*x**5 - 23*x**2. What is the derivative of u(h) wrt h? -30*h**2 Let x(l) = -24*l**3 - 23*l - 18. Let n(p) be the second derivative of p**2 - 54*p. Let b(g) = -18*n(g) - 2*x
{ "pile_set_name": "DM Mathematics" }
000001 What is 0.088426 rounded to 2 dps? 0.09 What is -0.00000056467 rounded to 7 dps? -0.0000006 What is -0.04655 rounded to 3 decimal places? -0.047 Round -0.0218056 to four dps. -0.0218 Round -0.059845 to 2 decimal places. -0.06 Round 61520000 to the nearest 1000000. 62000000 What is -0.001117 rounded to four decimal places? -0.0011 Round -21583 to the nearest 1000. -22000 Round 329230 to the nearest 10000. 330000 Round -2.668 to 1 dp. -2.7 Round -1.0911 to 2 dps. -1.09 What is -0.010118 rounded to 3 decimal places? -0.01 Round -0.4142 to two dps. -0.41 Round -1048 to the nearest ten. -1050 What is -0.053471 rounded to 2 decimal places? -0.05 What is 14.409 rounded to the nearest integer? 14 Round -0.00002002 to six decimal places. -0.00002 Round 817 to the nearest 10. 820 What is -34012 rounded to the nearest 10000? -30000 Round 850.31 to the nearest 10. 850 Round -0.000120472 to 5 dps. -0.00012 Round 95.75 to zero decimal places. 96 Round 0.00803 to four dps. 0.008 What is -26362100 rounded to the nearest one million? -26000000 What is -3202 rounded to the nearest 100? -3200 What is -0.00000644 rounded to seven decimal places? -0.0000064 What is 0.0020542 rounded to 4 dps? 0.0021 Round -0.00001768 to 7 dps. -0.0000177 What is -0.0000109619 rounded to 6 decimal places? -0.000011 Round -0.0073361 to three dps. -0.007 What is 0.033826 rounded to three dps? 0.034 Round -6374.2 to the nearest one hundred. -6400 What is -0.000758 rounded to 5 dps? -0.00076 What is -0.000016076 rounded to 5 dps? -0.00002 Round 0.000019 to 6 decimal places. 0.000019 Round -388680 to the nearest one thousand. -389000 Round 0.00000175 to 6 dps. 0.000002 Round -0.00022524 to 4 dps. -0.0002 What is -121220 rounded to the nearest ten thousand? -120000 What is -26.909 rounded to 1 dp? -26.9 Round -531600 to the nearest 100000. -500000 Round 116380 to the nearest 1000. 116000 Round 0.00063466 to five dps. 0.00063 Round -0.00141235 to five dps. -0.00141 Round 0.041 to three decimal places. 0.041 Round 31600 to the nearest 1000. 32000 What is 956.71 rounded to the nearest 100? 1000 Round 5683.5 to the nearest 10. 5680 What is -0.6234 rounded to 2 dps? -0.62 What is 0.000782 rounded to 4 decimal places? 0.0008 What is 252880 rounded to the nearest ten thousand? 250000 Round 74.7 to the nearest integer. 75 Round 0.0008326 to 4 dps. 0.0008 What is -0.0000619 rounded to 6 dps? -0.000062 What is -27343000 rounded to the nearest 100000? -27300000 What is -5112900 rounded to the nearest one million? -5000000 What is -84400 rounded to the nearest 1000? -84000 What is -0.0258 rounded to 3 dps? -0.026 Round 42.347 to 1 decimal place. 42.3 What is -0.00309893 rounded to four dps? -0.0031 Round 0.32074 to two decimal places. 0.32 What is -45.62 rounded to the nearest ten? -50 What is -0.00002696 rounded to 6 dps? -0.000027 What is 0.026 rounded to 2 decimal places? 0.03 Round 2.4748 to one dp. 2.5 What is -0.72834 rounded to one decimal place? -0.7 Round 0.04632 to 3 dps. 0.046 What is 0.00027277 rounded to 6 decimal places? 0.000273 What is 1320790 rounded to the nearest 10000? 1320000 What is 20.077 rounded to the nearest ten? 20 Round -34.44 to zero decimal places. -34 What is 0.3766 rounded to 1 dp? 0.4 What is -3106000 rounded to the nearest 1000000? -3000000 What is 2455700 rounded to the nearest ten thousand? 2460000 Round 7374200 to the nearest 100000. 7400000 What is 8310000 rounded to the nearest one million? 8000000 What is 0.004003 rounded to 3 dps? 0.004 What is 98300 rounded to the nearest ten thousand? 100000 What is 95419 rounded to the nearest 10000? 100000 Round 219100 to the nearest 100000. 200000 Round 6778000 to the nearest one million. 7000000 What is -247100 rounded to the nearest 10000? -250000 What is 14980000 rounded to the nearest one million? 15000000 What is -0.0008806 rounded to four decimal places? -0.0009 Round 0.000000062 to seven decimal places. 0.0000001 What is 1303 rounded to the nearest 10? 1300 Round 481.2 to the nearest 100. 500 Round 940 to the nearest 100. 900 What is 2401.1 rounded to the nearest 100? 2400 What is 0.00056698 rounded to 5 dps? 0.00057 What is 54296700 rounded to the nearest one hundred thousand? 54300000 Round -700000 to the nearest one hundred thousand. -700000 Round 0.32 to one decimal place. 0.3 What is 150789000 rounded to the nearest 100000? 150800000 Round 48973000 to the nearest 1000000. 49000000 Round 0.0000046225 to 6 decimal places. 0.000005 What is -2516.2 rounded to the nearest ten? -2520 What is -0.1235 rounded to two dps? -0.12 What is 1043200 rounded to the nearest ten thousand? 1040000 Round 0.0000128369 to six decimal places. 0.000013 What is 1295400 rounded to the nearest 10000? 1300000 What is 10690000 rounded to the nearest one million? 11000000 Round 0.0014217 to three decimal places. 0.001 Round -551400 to the nearest 10000. -550000 What is 0.000030937 rounded to six decimal places? 0.000031 Round 0.11852 to 3 dps. 0.119 What is -14160 rounded to the nearest 100? -14200 Round 0.1966 to 3 decimal places. 0.197 Round -45500 to the nearest 10000. -50000 Round -24262000 to the nearest 1000000. -24000000 What is 6288070 rounded to the nearest 100000? 6300000 Round -0.568 to one dp. -0.6 Round -0.02726 to four decimal places. -0.0273 Round -7589 to the nearest one thousand. -8000 Round 2115000 to the nearest 100000. 2100000 Round 4923600 to the nearest one hundred thousand. 4900000 Round 0.0003439 to 4 decimal places. 0.0003 Round -10210000 to the nearest one million. -10000000 What is 3.11 rounded to one dp? 3.1 What is -7770000 rounded to the nearest 100000? -7800000 What is 38985 rounded to the nearest one thousand? 39000 What is 3806.8 rounded to the nearest one hundred? 3800 What is 89490 rounded to the nearest 1000? 89000 Round -0.014657 to two dps. -0.01 Round -56160 to the nearest 10000. -60000 What is -643200 rounded to the nearest ten thousand? -640000 What is -1220.5 rounded to the nearest 100? -1200 What is -0.0000004085 rounded to seven dps? -0.0000004 Round 5.88 to 1 dp. 5.9 What is 20.329 rounded to 0 dps? 20 What is 0.321 rounded to 2 decimal places? 0.32 Round -163596 to the nearest ten thousand. -160000 Round -16.3 to zero decimal places. -16 What is 1161 rounded to the nearest 10? 1160 Round 0.0000002833 to 7 decimal places. 0.0000003 What is 2143200 rounded to the nearest ten thousand? 2140000 Round 3034900 to the nearest one million. 3000000 What is -0.0348 rounded to two decimal places? -0.03 Round -22.754 to 0 decimal places. -23 Round -4.0053 to 2 dps. -4.01 What is 0.0000001394 rounded to seven decimal places? 0.0000001 Round -2115000 to the nearest one hundred thousand. -2100000 What is -0.00011702 rounded to six decimal places? -0.000117 What is 4580 rounded to the nearest 1000? 5000 What is -70600 rounded to the nearest ten thousand? -70000 What is -40100 rounded to the nearest ten thousand? -40000 Round 69200 to the nearest one thousand. 69000 Round 336.6 to the nearest 10. 340 What is 0.7911 rounded to one decimal place? 0.8 What is -0.0049019 rounded to 4 decimal places? -0.0049 Round 0.000000996 to seven decimal places. 0.000001 Round -0.354 to one dp. -0.4 Round 185580 to the nearest one thousand. 186000 What is -5.227 rounded to zero dps? -5 Round 7254100 to the nearest 100000. 7300000 Round -0.0744 to 3 dps. -0.074 Round 140.37 to 0 decimal places. 140 Round 0.000128 to 5 decimal places. 0.00013 Round -23.841 to one decimal place. -23.8 What is 0.098007 rounded to three decimal places? 0.098 What is -4154000 rounded to the nearest one hundred thousand? -4200000 What is 0.00006306 rounded to 5 dps? 0.00006 Round -0.0006307 to 4 dps. -0.0006 What is 5.4247 rounded to 1 dp? 5.4 Round 1.531 to one dp. 1.5 What is -68260 rounded to the nearest 100000? -100000 What is 0.27754 rounded to 2 decimal places? 0.28 Round -93620 to the nearest one thousand. -94000 What is -4967300 rounded to the nearest 1000000? -5000000 Round -0.00013602 to 5 dps. -0.00014 Round -0.104 to one dp. -0.1 Round -65681.9 to the nearest 1000. -66000 What is -1.037 rounded to one dp? -1 Round 56014000 to the nearest 100000. 56000000 Round 0.0561 to 3 decimal places. 0.056 Round -13.585 to one decimal plac
{ "pile_set_name": "DM Mathematics" }
when s is divided by 29? 25 Let u = 7 - 12. Let a = -2 - u. Calculate the remainder when 56/a - (-6)/18 is divided by 5. 4 Suppose 46*o + 14 = 47*o. Let l be (-30 - 3)/(3/(-15)). Suppose t - 273 = -5*a + 2*t, -l = -3*a + t. What is the remainder when a is divided by o? 12 Suppose -3*c + i + 23 = 0, 0 = 2*c + 2*c + 5*i - 37. Suppose -h = 4*p - 35 - 21, -5*h = 0. Calculate the remainder when p is divided by c. 6 Suppose 2*h - 3*h - 711 = -3*y, 2*h + 232 = y. What is the remainder when y is divided by 10? 8 Suppose 2*y - 193 = -5*q + 5*y, 0 = -5*q + y + 191. Suppose -4*k + 10 = -q. Calculate the remainder when 34 is divided by k. 10 Let l(a) = a - 1. Let j be l(-2). Calculate the remainder when j - (-2*32)/2 - 2 is divided by 8. 3 Suppose 5*s - 3*s = 22. Let q = 3 - -1. Suppose q*v = 59 - s. What is the remainder when 22 is divided by v? 10 Let a(t) = 9*t**3 - t**2 + 2*t - 1. Let j be a(1). What is the remainder when 166 is divided by (j/(-18))/(0 + 1)*-48? 22 Suppose 2*x - 5*g - 174 + 79 = 0, -4*x - 3*g + 203 = 0. What is the remainder when 134 is divided by x? 34 Suppose 3*l + 8 = 23. Suppose 20 = 2*i + 5*z, -2*i + l*z - z = 16. Suppose i = 6*x - 3*x - 81. Calculate the remainder when x is divided by 14. 13 Let v(y) = 66*y - 553. What is the remainder when 817 is divided by v(9)? 38 Let c = 276 + -154. Suppose 2*j - 2*d - 116 = 0, 4*d + c = 2*j + 5*d. What is the remainder when j is divided by 32? 28 Suppose -5 - 20 = -5*b. Suppose 5*g + q = 0, -1 = -b*q - 26. Calculate the remainder when 2 is divided by g. 0 Let w = 1 - -2. Suppose f + w*j + 17 = 3*f, 11 = f + j. Let m(a) = 2*a + 2. Calculate the remainder when m(23) is divided by f. 8 Let q = -1376 - -1517. Calculate the remainder when q is divided by 9. 6 Let a(h) = h**3 + 9*h**2 - 11*h. Suppose 0 = 13*p - 10*p + 30. Calculate the remainder when 28 is divided by a(p). 8 Let d = -46 - -49. Suppose -5 - 19 = -d*p. Calculate the remainder when 23 is divided by p. 7 Suppose -6*z + 2*z + 16 = 5*x, x = -4*z. Suppose -x*w + 415 = w. Calculate the remainder when w is divided by 14. 13 Let y be ((-4)/(-2) - 3)*-228. Suppose 92*x = 95*x - y. What is the remainder when x is divided by 39? 37 Suppose -3*r + 2*z = -0*z - 39, 5*z - 15 = 0. Calculate the remainder when 104 is divided by r. 14 Suppose -298*r = -287*r - 66. Calculate the remainder when 31 is divided by r. 1 Let j = -15 + 3. Let o = 17 + j. What is the remainder when 7 is divided by o? 2 Let n = -137 - -173. Calculate the remainder when 135 is divided by n. 27 Suppose -20*u + 1888 = -16*u - 2*c, 477 = u + 2*c. Calculate the remainder when u is divided by 28. 25 Suppose -f + 2*b + 55 = 13, -5*b = 2*f - 66. Let n = -21 + f. Calculate the remainder when 28 is divided by n. 11 Let m = 26 - 19. Let y be -4 - (-2 + -52) - 4. Let l = y - 14. What is the remainder when l is divided by m? 4 Let h be ((-14)/(-4))/((13/(-34))/13). Let u = -63 - h. Calculate the remainder when u is divided by 29. 27 Let k = 31 - 15. Calculate the remainder when (-4329)/(-185)*((-10)/(-3) + 0) is divided by k. 14 Let t = -190 + -13. Let i = 320 + t. What is the remainder when i is divided by 24? 21 Suppose k - 3*v - 124 = -105, 5*k + 3*v - 41 = 0. Calculate the remainder when 73 is divided by k. 3 Calculate the remainder when 263*3/15 + (-30)/(-75) is divided by ((-81)/(-5 - -2))/1. 26 Suppose w + 3 = y - 0, 3*y - 17 = -5*w. Calculate the remainder when 329 is divided by y. 1 Let b be (2/5)/((-3)/(-15)). Let j = b - 0. Suppose 0*i - 2*i = -j*w + 66, -3*i - 157 = -5*w. What is the remainder when w is divided by 10? 9 Suppose 5*r + 141 + 189 = 0. Suppose -122 = -3*p + 4*b + 3, -3*b - 212 = -5*p. Calculate the remainder when p is divided by (27/18)/((-9)/r). 10 Suppose 25*b = -4*b + 464. What is the remainder when 93 is divided by b? 13 Let i(j) = j + 4*j**2 - 3*j**2 - 1 + 2 + 2*j**2. Let v be i(2). Suppose 0 = -r + 56 + v. What is the remainder when r is divided by 18? 17 What is the remainder when (0 + -1)/(7/(-2807)) is divided by 102? 95 Let d(l) = l**2 - 10*l - 23. Let g(c) = 6*c - 5. Let w(n) = 7*n - 5. Let q(k) = -5*g(k) + 4*w(k). What is the remainder when d(16) is divided by q(-7)? 16 Let d = 30 - 28. Let q(k) = 9*k**2 + 3*k - 2. Calculate the remainder when q(2) is divided by 18 + d - (-2 + 1). 19 Let l be (2/(-2))/(0 + (-1)/(-5)). Calculate the remainder when (10/l)/((-474)/(-159) - 3) is divided by 22. 18 Let f(i) = -i**3 + 12*i**2 - 22*i - 26. What is the remainder when 103 is divided by f(9)? 8 Calculate the remainder when -1 - -35 - (21 + -29) is divided by 10. 2 Suppose 4*v = 11*n - 7*n + 260, 65 = v - 2*n. Calculate the remainder when v is divided by 38. 27 Suppose -12*i + 205 = -7*i. Let h = -38 + i. Calculate the remainder when 8 is divided by h. 2 Let y(t) = t**3 - 5*t**2 - t + 6. Let h be (-2)/6*150/(-10). Let q be y(h). Let j = q + 7. What is the remainder when 21 is divided by j? 5 Let i = 2 - -4. Let w(g) = i*g + 1 + g + 0. What is the remainder when 30 is divided by w(1)? 6 Suppose 3*c - 2*z = 28, -3*c + 45 = -5*z + 11. Suppose -707 = -12*a + 205. Calculate the remainder when a is divided by c. 4 Let o be 5/(-2)*(-16)/20. Suppose 0 = o*v - v + 3*q - 102, 0 = -3*q. What is the remainder when v is divided by 21? 18 Suppose -q + 3*q - 126 = 0. Suppose y - 1 = -3, 76 = 4*t + 4*y. Let x = -5 + t. What is the remainder when q is divided by x? 15 Let i = -33 - -50. Let f(g) = -g + 62. What is the remainder when f(14) is divided by i? 14 Suppose -27*x = -29*x + 8. What is the remainder when 34 is divided by -1 + 2 + -6*x/(-6)? 4 Let r(p) be the third derivative of p**6/120 + 7*p**5/60 + p**4/4 - p**3/2 + 30*p**2. Calculate the remainder when 116 is divided by r(-5). 14 Suppose -r - 4*g + 7 = -9, 0 = -3*r + g + 22. Calculate the remainder when 39 is divided by r. 7 Let t = 909 + -906. Let w be 0 + 1 - (-2)/2. Let m = w - -1. Calculate the remainder when t is divided by m. 0 Let v(s) = 59*s - 4. Let x be v(3). Suppose t = 2*t + 3*a - 45, 5*a - x = -4*t. Let w = 78 - 56. Calculate the remainder when t is divided by w. 20 Let w = 2824 + -2607. Calculate the remainder when w is divided by 40. 17 Let l(t) = 2 - t**3 + 3*t - 17 - 19*t**2 + 8*t**2 + 19*t**2. Let s(k) = -k + 4. What is the remainder when l(8) is divided by s(0)? 1 Let q = -14 - -47. Suppose 4*d - q = 3. Suppose 12*n - 3*h = 8*n + 33, 0 = 3*n - 5*h - 33. Calculate the remainder when d is divided by n. 3 Suppose 5*f = -4*j + 53, 3*j - 2*f = -0*f + 11. What is the remainder when 109 is divided by j? 4 Let g(k) = 2*k**3 - 7*k**2 - 8*k + 8. What is the remainder when g(5) is divided by ((-2)/(-5))/((-1)/(-55))? 21 Let k(z) be the third derivative of -z**4/3 - 5*z**3 + 29*z**2. What is the remainder when k(-9) is divided by 9? 6 What is the remainder when 238 is divided by (-8 - 10/(-2)) + 43? 38 Suppose 4*b - 4*j - 18 = 10, 2*j = 5*b - 29. What is the remainder when b/120*-4 - 685/(-6) is divided by 39? 36 Let x(l) = 1058*l - 40. Let u be x(4). Calculate the remainder when ((-1)/(-4))/(8/u) is divided by 7. 5 Let m = -205 + 216. What is the remainder when m is divided by 8? 3 Calculate the remainder when 62 is divided by (-36 - 0)*(-20)/30*2. 14 Let h = -67 + 103. Let v = 15853 - 15710. Calculate the remainder when v is divided by h. 35 Let l be (-16)/(-6)*(-12)/(-8). Let j be 3/(-1) - (-1 + l). Let o = j + 29. What is the remainder when 45 is divided by o? 22 Let l = -7 - -9. Suppose -4*q + 30 = -54. Calculate the remainder when q is divided by (l - 0)/(8/44). 10 Let c(x) = 2*x + 33. Calculate the remainder when 12 is divided by c(-16). 0 Suppose -3*v + 5 + 67 = 0. Let m = v - 4. Let x = 80 + -72. What is the remainder when m is divided by x? 4 Let l(j) = 9*j**2 + 7*j - 9. Suppose 2*d + 5 = 11. Calculate the remainder when l(d) is divided by 16. 13 Suppose 16 = i + i - 2*t, 5 = 5*i + 2*t. Suppose -u + 96 = i*u. Calculate the remainder when u is divided by 13. 11 Let k = 197 - 176. What is the remainder when 119 is divided by k? 14 Let m = 50 + -38. Let o(p) = -p**2 - 2*p + 3. Let q be o(-3). Suppose 4*s - m = -q*s, 0 = -2*r - 3*s + 35. What is the remainder when 48 is divided by r? 9 Suppose 67 = q + 3*p, -q - 4*p + 63 = -0*q. What is the remainder when 394 is divided by q? 78 Let k(n) = -n**3 - 6*
{ "pile_set_name": "DM Mathematics" }
6. What is the nearest to -1 in 5, -0.5, u, -9? u Let a = -1160.53 - -1166. Let h = a + -5.07. What is the closest to 1 in -4, h, 0.5? 0.5 Let s = -7.36646 - 0.23354. What is the closest to s in 1, -0.07, 4? -0.07 Let o = -4457 - -4457. What is the nearest to o in 1/4, 1/21, 13? 1/21 Let s(k) = 2*k. Let y be s(-1). Let d = -123.1 + 110. Let h = -16.1 - d. Which is the closest to y? (a) h (b) -2/9 (c) -2 c Let s = 16322 + -16253. Which is the closest to 1? (a) -2/7 (b) s (c) 8 a Let q = 0.01848 - 0.01848. Which is the nearest to -3? (a) -1 (b) 1 (c) q (d) 5 a Let p = -4/1911 + 3866/21021. Suppose 0*s + 3*s - 4*x + 1 = 0, -3*s + 5*x = 2. Let b = 0.03 - 0.03. What is the nearest to b in s, 3, p? p Let o be ((-16)/(-21))/8 + 2060/(-168) + 12. Which is the nearest to -0.2? (a) -1/29 (b) o (c) 23 b Let t be (1 - 6/4)*10. Let y = 15 - 135. Let i = y - -118. Which is the nearest to 1? (a) i (b) -0.2 (c) t b Suppose -4*i - 1 - 7 = 0. Let h(y) = y**3 + 8*y**2 + 11*y - 4. Let c be h(-6). Let a be (c/(-725)*10)/((-2)/(-5)). What is the nearest to a in -0.3, 0.2, i? -0.3 Let f = 7874/27461 + -4/3923. Which is the closest to 0.1? (a) f (b) 4/7 (c) -5 (d) 0.138 d Suppose 4*l = 12, -14*l = -s - 9*l - 12. Suppose 5*n + 6*n + s*n = 0. Which is the closest to -0.2? (a) n (b) 4 (c) -4 a Let n = -15328 + 76628/5. Let m = -0.86 - 0.14. What is the closest to n in 0.5, m, -3? -3 Let j = -73/7 + 74/7. Suppose -5*m - 32 = -7. Let p = 14567 - 14566.7. Which is the closest to j? (a) -4 (b) p (c) m b Let j = 7.2 - 4.2. Suppose 3*v + 1 = 2*b, 0 + 5 = -2*b + v. What is the closest to -2/9 in 0, -0.1, b, j? -0.1 Let u = 11251 - 11251.4. What is the nearest to 31 in u, -3, 3? 3 Suppose -t - 5*w + 19 = 2*t, 5*w - 3 = -t. Let f = 12.07 - -0.53. Let q = f - 13. Which is the nearest to -1? (a) q (b) t (c) -3/2 c Let x = 0.2175 + 978.7825. Let n = 978.6 - x. Which is the closest to -1? (a) 1 (b) -70 (c) n c Let n = 83712/7 + -11959. Which is the nearest to 32? (a) n (b) 1 (c) 2/19 b Suppose -60*r - 124 + 244 = 0. What is the closest to 0 in 3, r, -10/27, -4? -10/27 Let i = 13116 + -13111. Which is the closest to -0.3? (a) -43 (b) -4 (c) i b Suppose 0 = -6*b - 468 + 492. Let k = 0.25 - 0.33. What is the nearest to k in -2/13, b, -1/15, 1? -1/15 Let i = -74 + 72.7. Let p = 0.9 + i. Let n = p + -4.6. Which is the nearest to -3? (a) n (b) -0.3 (c) -3 c Let n = 153.4 + -157.4. Which is the nearest to 3/11? (a) -1 (b) -0.4 (c) n (d) 18 b Let f = -0.96 + 0.8. Let d = f + 0.1. Let h be ((-1224)/198 - -6)/(1/1). Which is the closest to 0.2? (a) d (b) h (c) 0.1 c Let i = -16697/46 - -363. Let u = i + 11/23. Which is the nearest to 2/5? (a) 3 (b) -5 (c) u c Let m be (-2)/((41 - 40) + 5 + -4). Let t be (-1 - -2) + -6*1. What is the nearest to 1/3 in -0.2, t, m? -0.2 Let t = 82062 - 82061.9. Let v = 3.2 + -3. Let x = v - 0.4. Which is the closest to t? (a) x (b) -9 (c) -1 a Let w = -29161 + 29163. Which is the nearest to 0.1? (a) w (b) -9 (c) 22 (d) -0.2 d Let h(y) = -28*y**2 - 22*y**2 + 73*y + 53*y**2 + 6 + 19. Let z be h(-24). Let g = -46/15 - -12/5. What is the closest to z in 14, g, 3/8? 3/8 Let f be 0 + 18*(-24)/(-864). Which is the nearest to 1? (a) -0.1 (b) f (c) -187 b Let i = -40 - -29.1. Let l = 11 + i. Which is the closest to l? (a) -5 (b) 7 (c) -1 c Let o = 1172/9 - 130. Suppose 3*g = 4*m + 4*g - 17, 0 = -3*m + g + 4. Suppose -2*u - 5 - m = 0. Which is the closest to 1? (a) o (b) 0 (c) u a Let v = 217.2 + 0.8. Let l = v + -217.9. Let n = -297 + 2373/8. What is the nearest to 0.1 in l, n, 1? l Let i = -45 + -67. Let x = i + 112.5. What is the closest to 0 in x, 0.048, 2? 0.048 Let j = 31.21 - 28.21. Which is the nearest to -1? (a) j (b) 3075 (c) 0.1 c Let y = 1147/5 + -3431/15. What is the closest to -6 in y, 6, -0.02? -0.02 Let f = -0.62362 + 0.12362. What is the closest to -11/5 in -4, f, -26/9? -26/9 Let f be -7 + 268/20 + -3. Let p = -59.2 - -59.27. What is the closest to p in -5, 0, f? 0 Let p = 1463/962 + -10/481. Which is the closest to p? (a) 1 (b) -29 (c) -0.4 a Let r = 0.06028 - 1.06028. Which is the closest to 0.3? (a) 0 (b) -2/3 (c) r (d) -13/6 a Let u = 116 + -52. Let f = u + -64.5. Let q(o) = o + 4. Let p be q(1). What is the nearest to -0.1 in f, p, -0.3? -0.3 Let r = -306 + 303. Let o = 0.0237 + 0.1763. Which is the closest to -0.06? (a) r (b) 5 (c) o c Let m be ((-105)/28 + 4 - 1/3)*3. Which is the closest to -1? (a) m (b) 52 (c) -12 a Let o = 13 + -38/3. Let t = 10.12 + -50.82. Let x = t + 30.7. Which is the closest to x? (a) 0.3 (b) 4 (c) o a Let l = -4.89 + -1.11. Which is the closest to 2? (a) 4 (b) l (c) -3 (d) -0.4 a Suppose k + o = 0, 0*o - 2*o = -4*k - 12. Let q be 110/25 - (k - 2*-3). Which is the nearest to -1? (a) 1/67 (b) -0.3 (c) q b Let n = -1.292 - -0.892. Which is the nearest to 1? (a) -3.5 (b) 0.5 (c) n b Let m = -20.9 - -8.4. Let j = 65.5 - m. Let x = -80 + j. Which is the closest to -0.1? (a) -5 (b) x (c) -0.2 c Let c = 1370.051 - 1369. Let b = -0.051 + c. What is the nearest to 0 in b, 3, -5/3? b Suppose 3*m - 2*k + 38 = 0, -25 = -5*k + 10. What is the closest to -3 in 2/21, m, -5? -5 Let u = -16395 + 16328. Which is the nearest to -0.1? (a) 4 (b) -20 (c) u (d) 3/4 d Let t = -4273 - -4273. Which is the closest to t? (a) -3/4 (b) -6/37 (c) 3 b Let d = -7.392 + 9. Let q = d + 0.392. What is the closest to 2/19 in -1, 3, 2/7, q? 2/7 Let z = -242333/1333013 - 3/121183. Suppose 4*x - 1 + 17 = 0. Which is the closest to z? (a) 2/15 (b) x (c) -1/2 (d) -1/4 d Suppose -9 = 10*o - 39. Let r(l) = -3*l - 26. Let z be r(-7). Which is the nearest to o? (a) 0.04 (b) z (c) -2 a Let d be 27013/(-49) + (-4)/(-14). Let q = -551 - d. What is the closest to q in -6/7, 8, -5, 1/2? 1/2 Suppose -7*x - 48 = -10*x - 4*a, -5*a = 3*x - 48. Let f(t) = -t**2 + 15*t - 2. Let d be f(15). What is the nearest to x in 0.1, d, -2/3? 0.1 Let v be -1*(5 + -1)*9/24. Let d = -14.9 - 0.1. Let q = 1593 + -1594. Which is the closest to q? (a) 1/6 (b) v (c) d b Let c = 0.01 + -0.04. Let i = -0.07 + c. Let b = -536 + 531. What is the closest to i in -0.06, b, 0.2? -0.06 Let i = 777 + -1301. Let b = 525 + i. What is the nearest to -0.2 in b, 6/7, -7? 6/7 Suppose 11*t = 3*q + 16*t - 52, -3*q = -2*t - 17. What is the closest to 18 in -5, q, -1/3, -0.5? q Let t be ((-112)/(-490))/(7/5 - 1). Let q = 1.4 + -2.4. Let k = q + 0.9. What is the nearest to k in t, 3, 0? 0 Let z = 1.9 - 1.9. Let l = 47 + -48.39. Let y = l + 1.79. Which is the closest to z? (a) 1 (b) y (c) -5 b Suppose -4*k = 2*s + 12, k = -3*k - 4. Suppose -32 = -25*x + 21*x. Let l be 2/(4/(-18)*(-12)/x). Which is the nearest to -1? (a) l (b) 3 (c) s c Let d = -317.7 - -318. Suppose 2*b + 5 = -5*r, 4*r - 4 = -4*b - 8. What is the closest to b in d, -2/23, -4? -2/23 Let y = 22723.2 - 22723. What is the nearest to 0 in -1/6, -5, -1.3, y? -1/6 Let r = -1.90646 - 0.09354. What is the nearest to 368 in r, -5, -0.3? -0.3 Let q(t) = 4*t - 9. Let w = 114 + -112. Let d be q(w). Which is the nearest to 0? (a) -3 (b) d (c) 0.1 c Let r = 0.15 + -0.2. Let z = -21980/3 + 7326. Which is the nearest to -2/7? (a) -5 (b) r (c) z (d) -0.4 d Let a = 3554.4 + -3554. Let m(j) = -j**3 + 5*j**2 + 7*j - 5. Let p be m(6). What is the nearest to p in -1/4, a, 2/9? a Let f = 1/10474 - -20929/199006. What is the nearest to -17 in 1, f, 3/5? f Let d = -1.34 + 0.54. Let z = 1 + d. What is the closest to 3 in -0.1, 2/5, z? 2/5 Let y = -309984 + 309983. Let t be 9/(-7) - 6/(-21). Let w = t - 1. What is the nearest to 1/4 in 1, y, w? 1 Let i(m) = -63*m**2 - 2*m + 24. Let x be i(0). What is the closest to 18 in 3, 0.4, x, -5? x Suppose f - 4*g - 12 = -f, -5*f - g = 14. Suppose 3*m - 23 = 5*k + 5*m, k = 2*m + 5. Let q be 5 + -4 - 8 - k. What is the closest to f in -5, q, -1/2? -1/2 Suppose -16*c - 5 = -11*c - 5*b, 0 = -2*c + 5*b - 11. Suppose 73 = c*f + 67. What is the closest to 1 in -67, 0.3, f, 0.4? 0.4 Let q = -0.98 - 0.02. Let p = -1.818 - 0.182. Which is the nearest to p? (a) q (b) -3/8 (c) -0.1 a Let d be ((42/(-210) - (-2)/(-15))*-30)/(-6). Which is the nearest to 1? (a) -20 (b) -5/36 (c) d b Let c = -5238 - -5239. What is
{ "pile_set_name": "DM Mathematics" }
-48/13 Evaluate (3749/815)/((-18)/30). -23/3 Evaluate (16/(-7))/(129675/(-18473) + 7). 116 (8/(-65))/(6544/(-8180)) - (-9)/78*-426 -49 Evaluate ((-560)/1100)/(33/(11979/330)). -14/25 Calculate 30/(33930/5249) - 63/27. 30/13 Evaluate ((-35)/5 + (-77 - 2))*(5 + (-11)/2). 43 Calculate (-17)/(5508/24) - (-302192)/14688. 41/2 Calculate -2 + 4 - 104/468*-54. 14 What is the value of (6/(-4))/((8736/(-286))/56*(-143)/(-416))? 8 Evaluate ((-1554)/(-70) + -21)*(-1)/3. -2/5 Evaluate (23/(-2))/(11 - 0 - (386 - 373)). 23/4 What is the value of 22/(-132)*241 + (-3)/(-18)? -40 Calculate ((-6)/(-12))/((-2)/(-42))*((-1235)/(-195) + -7). -7 What is the value of (4/(25 - 13)*-33 - 27) + -5 + -2? -45 1192/(-18) + ((-2)/(-13))/(-33 + 6132/182) -66 64/(372 - 52)*(-5)/29 -1/29 (-4)/(-10)*(-59 + -1)*(-106 - (-2454)/24) 90 What is the value of 912/(30 + 8) - 17? 7 Evaluate -4 + 10/(-15)*27/(-1278)*283. -1/71 Calculate 91/(-39)*(-57792)/(-1568). -86 Calculate (-572)/(-320) + -5 - -3 - ((-1288)/(-115))/(-28). 3/16 Evaluate -83 - (-12932)/(-1802) - 6/(-34). -90 51 - (33 - 1728/(-84)) -18/7 What is 6003/690 - 164/20? 1/2 What is (54/(-13) + 2)*73060/(-16860)? 28/3 Evaluate ((-144)/60)/((-1056)/(-1200)*5). -6/11 What is (-556)/(-18626) - ((-5928)/(-1072) + -3)? -5/2 What is (8 + (-5925)/1275)*17? 57 What is (-7)/(5005/(-390))*-22*(-10)/3? 40 What is (-13)/((-65)/(-110)) + (-77 - -122)? 23 Evaluate 231 + -232 + (-51 + -8 - 0). -60 What is 6 - (270/(-63))/(1 - (-21)/(-12))? 2/7 (-28)/(672/6) - (-4)/(48/153) 25/2 What is 704/144*((-1643)/(-155) + 24/(-15)) - 6? 38 Calculate -6 + -13 + (-2)/18*5166/(-82). -12 ((-2)/(-50)*-1)/(20048/(-25060)) - (-74)/120 2/3 Calculate 6/(-21) - (-8085)/39102. -3/38 What is 2/(-24) + (42 - 61/(19032/16510))? -11 20/6*73/((-278495)/(-21)) 2/109 Calculate 1*(-2)/3*(-1320)/(-14) - (-3496)/(-24472). -63 (-12)/(-30)*((-38)/4)/((-16)/2320*-29) -19 Calculate 24/9*(9990/(-3456))/(-185). 1/24 266/(-19)*((-4)/30 + (-2950)/375 + 10) -28 Evaluate 1 + (1846/213)/(8/(-48)). -51 Calculate 144/(-374) + (((-273)/(-3432))/(-7))/((-1)/8). -5/17 What is ((-60)/(-48))/(((-78)/(-130))/((-24)/(-10)))? 5 Calculate (-7 + (-583)/(-33))/((-19)/114). -64 2/(-6)*((-158410)/8370 - 6/81) 19/3 What is the value of 193/5 - 41*(-456)/(-11685)? 37 (130456/(-12053))/((-11)/(187/(-2))) -92 ((-98)/7)/(-42)*(-477)/21 - (77 - 84) -4/7 What is 60/(-36)*840/700? -2 What is the value of 170/29325*115*(-3)/(-5)? 2/5 What is 15 - 14700/510 - (-12)/(-68)? -14 (-25383)/67688*(-280)/1 105 What is (1 - (-4)/(-1))*(2806/171166 - (-7804)/244)? -96 What is the value of 17700/(-19116)*(-42)/350? 1/9 Calculate 9/(81/42)*10908/4242. 12 Evaluate ((-133)/14)/(144/64)*54/(-12). 19 What is the value of 6/(-63)*2*180/(-7680)*2? 1/112 238/272 + (107198/8176 - 14) -1/73 (-1)/(-25) - ((-7269)/150 - (-1023)/(-682)) 50 -16*(188/(-282) - (-5)/12 - 9/(-12)) -8 What is (-13)/((-234)/33)*((-216)/(-66) + -3)? 1/2 Calculate (-441 + -7)/16 + (-10*33/(-110) - -3). -22 Calculate 1/(240/(-36)*(-10)/(-212) - 12/(-36)). 53 360/(-11 - 4) - (-810)/18 21 Evaluate (((-364)/210)/26)/((-22)/770). 7/3 Evaluate (1889427/(-278))/197 - (-8 + 1). -55/2 What is 225/(-45) + -19 + -27? -51 What is ((-61)/6222*170)/((-100)/72)? 6/5 What is the value of (3 - 7016/2392) + (-502)/(-5773)? 2/13 What is the value of ((-130)/(-8))/(2225/(-10680)) + 3 + (-14 - -10)? -79 4 + 36/(-8) + (-378)/(-252) + (26 - 2) 25 Calculate (6 + -5)*(117/(-78) - 101/2). -52 What is -37 + ((-198)/351*-104 - 19)? 8/3 Calculate 10/8*211768/4120 + (-21)/36*-3. 66 Calculate 20/(-100) + (27 + 12716/(-595) - 6/14). 5 What is -2*(48/(-22) - 4095/(-198))? -37 What is the value of ((-9)/30 - (-28)/(-280))/((-434)/10 - -7)? 1/91 Calculate 47633920/(-662400) - (-1 + -71). 4/45 What is the value of 177244/(-26280) + (-4)/(-9) + 6? -3/10 Evaluate (-45 - 3) + -637 + 646. -39 What is the value of 35/((-80850)/(-3020)) - -3*90/(-189)? -4/33 4/(-160)*(-24 + 20 + (-80)/(-18)) -1/90 Calculate (3/(-4))/(15702/(-774632)). 37 Evaluate -7 + ((-48)/(-15))/((-192)/(-1440)). 17 Evaluate 3*3/(-27)*111*(423 - 422). -37 -8 - (38 + -35) - (-2 + 177/(-19)) 6/19 What is the value of (-168 + 1712890/10197)/((-1)/(-18))? -4/11 Calculate (-12 - (-19 + -4))/(((-1 - 0)/1)/1). -11 What is ((-2)/((-18)/45) - 21) + 11? -5 Calculate 401801/33559 + 4/296*2. 12 Evaluate (-18)/(-1)*(3477/(-61))/(-3591). 2/7 Calculate 336/(-644) + (-385169)/3197. -121 Calculate -3*(4 + 7/14*(-2560)/48 + 4). 56 Calculate -8 - (-592)/320 - (-1755)/468. -12/5 What is -5 + 14/4*(-286)/(-182) + (-20)/(-40)? 1 What is -8 - 370/(-40) - 3165/(-30)*(-1)/(-2)? 54 (-208)/2730*198/(-264) 2/35 33/93*8/6*1452/10648 2/31 (42/56 + 299/(-92))/(5/72) -36 Calculate ((-4977)/(-3555))/((-14)/(-12)) + (-902)/935. 4/17 What is the value of 62 - -22*(-168)/132? 34 972 + -902 + (1 - 25 - (7 - 9)) 48 -73 + 33330/440 + 135/(-4) -31 Calculate (-456)/(-4576) - (18/(-3150)*-50)/((-26)/(-7)). 1/44 Calculate (-159)/4505*-561*(-15)/(-9). 33 (-27636)/708 - ((-5208)/472 - -11) -39 (-318 + 319)/((-5)/(-170)) 34 What is the value of -9 + ((-28)/(-14) + (-2 - 53) - -13)? -49 Evaluate (11/(-55))/(5/(-325)) - (-70)/(-7). 3 (-4 + 228/(-95))*(148/(-56) + 3) -16/7 What is 32*(-500)/6400*8/5? -4 (-99)/1485 + 6624/135 49 Calculate (-6)/(-2) - (2 - -35). -34 Calculate (223 - 220)*(4/(-18) - -1). 7/3 What is the value of (-14 + -34)*13/(-39)? 16 What is ((3968/(-336))/62)/(1*(-6)/(-7))? -2/9 Calculate (14*45/(-252))/((-5)/126). 63 What is (-10706)/18685 + 3/5? 1/37 (-180)/2*(-6033)/211155 18/7 What is the value of (0 - -7) + (164 + -62 - 78)? 31 ((3/(-21))/(69/(-276)))/(40/28) 2/5 Evaluate (36/15)/(9590/(-3425)). -6/7 Calculate 598/(-2392)*22/(-121)*1*2. 1/11 What is the value of (-49)/(-119) - 2793780/(-47685)? 59 (-46763)/(-926) + 2/(-4) - (9 + 4) 37 What is the value of (-4)/(-36) - 46/((-16560)/(-200))? -4/9 (-3)/24 + ((-21607)/328 - (-2 - (5 - 6))) -65 Calculate ((-20)/(-75))/((3/(-6))/((-260)/208)). 2/3 Calculate (-197895)/42660 - 14/(-8). -26/9 What is the value of -84 + (-70056)/(-832) + 8/(-64)? 1/13 ((-88)/(-4))/(-2) - (-31 + 3281/153) -13/9 Evaluate ((-8)/6)/(2576/7728) + 1/(-42)*-167. -1/42 Evaluate (-16 + 2920/219)*(9/26 - 0). -12/13 (63 - 57)*((-2760)/(-468) + -6) -8/13 Evaluate 1*(-14 + 1) + (72/48)/(1/(-6)). -22 Evaluate 16 - (19 - 23/7) - (-92)/(-28). -3 Evaluate 10*((-165)/20 - -8). -5/2 What is the value of -20 - (36 + (16 - 31)) - 24/2? -53 Evaluate (2408/(-645))/28 + ((-9088)/(-120) - 4/(-10)). 76 What is the value of (-140)/20 + 42/7392*1166? -3/8 Calculate ((-4)/12 + -5)*7083/(-1574). 24 (-36)/81*(-1 + (-42)/(-36) - 2/(-6)) -2/9 What is the value of ((-2522)/(-1358))/((-120)/(-126) - 1)? -39 What is the value of -89 + 68 + 64 - 4/2? 41 Evaluate 42 - 21*(-8284)/(-4389). 26/11 What is ((-17)/(1224/(-16)))/(10/(-141)) - -4 - 1? -2/15 What is (1 - -6 - 6)*(-21)/(-42)? 1/2 (-28)/30 - ((-22)/55 - (480/75)/32) -1/3 Calculate (-79)/(3555/(-54))*(28/28 + 26/(-6)). -4 Evaluate 55016/(-61893) - (-3 + 1380/27). -49 What is the value of ((-7524135)/600)/111 - 18/720? -113 (2*(-22)/16 - -3) + 2 + 630/(-312) 3/13 Evaluate 14*5*(-4)/1520*((8 - 0) + -6). -7/19 What is (-1 + 2)/(50621/(-446))? -2/227 (317/(-17435))/(((-2)/(-33))/((-4)/(-12))) -1/10 Calculate (54*(-299 + 301 + 34/(-16)))/(1/(-8)). 54 What is 9*(67 - 19082/261)? -55 What is (-2 - (1 + 12/15)*-1)/((-2183065)/(-448575))? -3/73 (-8)/((-112)/246) + (-7 + 28 - 8) + -26 32/7 Evaluate 279/(-27) + 32705/3255 - (-285)/(-7). -41 What is (-27*36/540)/(-5 + (-1337)/(-70))? -6/47 Calculate (119 - 120) + 80/4 + 27. 46 Calculate (58/10)/(15/10*42/(-63)). -29/5 What is the value of 0 - 10 - (-13 - ((-420)/245)/(40/(-476)))? 117/5 What is the value of (534905/2639 + -203)/(54/(-13))? 2/27 What is 469/(-134) - (-3)/(-2) - 828/(-108)? 8/3 30/36*-2*(44064/255)/(-8) 36 Evaluate -15*(4/2 + -5)*19/15561*91. 5 1750/6300 + (-4)/18 1/18 What is 2726/29 - (-1155)/(-21)? 39 1/(-15)*-8 - 12366683/(-3443160) 33/8 What is the value of 3*(3 + 10 + 0 + -10) + (-31 - -63)? 41 What is 0 - -9 - (30024/5560 + (-134)/10)? 17 What is (-528200)/(-5560) + 6841/(-72)? -1/72 What is 339/21 - (35108/2345 + -4*(-1)/140)? 8/7 Evaluate ((-90)/66)/15 + (-3948)/616. -13/2 What is the value of 14600/(-450)*-3 + (-2)/9*48/32? 97 What is the valu
{ "pile_set_name": "DM Mathematics" }
and 592? 8 What is the highest common factor of 44 and 3516601? 11 What is the greatest common divisor of 56 and 61432? 56 What is the greatest common divisor of 52078 and 52? 26 What is the greatest common factor of 1862 and 4541? 19 Calculate the highest common factor of 496 and 59768. 248 Calculate the greatest common factor of 101484 and 1476. 36 Calculate the highest common divisor of 3221 and 9. 1 Calculate the greatest common factor of 1055 and 39668. 211 Calculate the greatest common divisor of 184 and 1663406. 46 Calculate the highest common factor of 973882 and 182. 182 What is the greatest common factor of 6 and 1536? 6 What is the highest common factor of 7180 and 10460? 20 What is the greatest common factor of 20831 and 269114? 563 What is the greatest common divisor of 721 and 24308? 103 What is the greatest common factor of 53 and 1005? 1 Calculate the greatest common factor of 3 and 116373. 3 Calculate the greatest common divisor of 1514158 and 794. 794 What is the greatest common factor of 4781080 and 2? 2 What is the greatest common divisor of 393 and 1121622? 393 What is the highest common divisor of 551147 and 265? 53 What is the highest common divisor of 38267 and 17? 17 Calculate the greatest common divisor of 188802 and 36. 18 What is the greatest common divisor of 7903 and 49? 7 Calculate the greatest common factor of 3426 and 48. 6 Calculate the greatest common factor of 129391 and 1. 1 What is the highest common divisor of 646427 and 259? 37 What is the highest common divisor of 188 and 1804800? 188 What is the greatest common factor of 374608 and 64? 16 What is the greatest common divisor of 11124 and 31209? 309 Calculate the highest common factor of 39289 and 11281. 389 Calculate the highest common factor of 46 and 113413. 23 Calculate the greatest common factor of 9020 and 6215. 55 What is the highest common divisor of 9416 and 749? 107 Calculate the greatest common divisor of 3542 and 11550. 154 Calculate the greatest common divisor of 2056354 and 1054. 1054 Calculate the highest common factor of 1938 and 713830. 646 Calculate the greatest common divisor of 202188 and 332. 332 Calculate the highest common divisor of 1265199 and 351. 39 Calculate the greatest common divisor of 2954 and 7000. 14 What is the greatest common divisor of 18870 and 185? 185 What is the highest common divisor of 68 and 22016? 4 Calculate the greatest common divisor of 126 and 38220. 42 What is the greatest common factor of 18531 and 609? 87 What is the highest common divisor of 2048060 and 700? 140 What is the highest common factor of 1440 and 307584? 288 What is the greatest common divisor of 1792 and 336? 112 What is the greatest common factor of 5016 and 407352? 264 What is the highest common divisor of 5080303 and 313? 313 Calculate the greatest common divisor of 433188 and 540. 108 Calculate the greatest common factor of 144523 and 43. 43 Calculate the highest common factor of 1924 and 195. 13 What is the greatest common factor of 134 and 1831646? 134 Calculate the greatest common factor of 55 and 4169. 11 Calculate the greatest common divisor of 104799 and 115800. 579 Calculate the highest common divisor of 66 and 272778. 66 Calculate the greatest common divisor of 536085 and 722. 361 What is the highest common factor of 372 and 320788? 124 Calculate the highest common divisor of 8430 and 2190. 30 What is the highest common divisor of 38130 and 465? 465 Calculate the highest common divisor of 28 and 62314. 14 What is the greatest common divisor of 1159 and 259921? 61 What is the greatest common factor of 47790 and 126? 18 Calculate the highest common factor of 2430 and 18. 18 Calculate the highest common factor of 1235 and 3055. 65 Calculate the greatest common divisor of 2772 and 251064. 396 What is the highest common factor of 124 and 288? 4 Calculate the greatest common factor of 13 and 41717. 13 Calculate the greatest common divisor of 690998 and 2156. 1078 What is the highest common factor of 36 and 159892? 4 Calculate the highest common factor of 1 and 42264. 1 What is the greatest common divisor of 740149 and 67? 67 Calculate the highest common factor of 320 and 20352. 64 What is the highest common divisor of 38752 and 4312? 56 What is the greatest common divisor of 60 and 4108? 4 Calculate the greatest common divisor of 215730 and 47. 47 What is the highest common factor of 583 and 106? 53 Calculate the greatest common divisor of 20 and 70590. 10 Calculate the greatest common factor of 1785816 and 153. 153 Calculate the highest common factor of 14933 and 1507. 137 What is the greatest common factor of 9 and 13077? 9 Calculate the greatest common divisor of 95 and 46379. 19 What is the highest common factor of 275 and 10296? 11 Calculate the highest common divisor of 549 and 6819129. 549 What is the greatest common divisor of 13167 and 44? 11 What is the greatest common factor of 662837 and 161? 161 Calculate the greatest common factor of 27261 and 234. 117 Calculate the greatest common factor of 1456 and 4208. 16 What is the highest common factor of 5378172 and 296? 148 What is the greatest common divisor of 34486 and 86? 86 What is the greatest common factor of 12 and 179? 1 What is the greatest common divisor of 73728 and 12? 12 What is the greatest common divisor of 28193 and 19602? 121 Calculate the greatest common factor of 1628 and 897842. 814 What is the highest common factor of 10917 and 219553? 1213 What is the greatest common divisor of 79768 and 2392? 104 Calculate the highest common factor of 221 and 130949. 13 Calculate the highest common factor of 407 and 49973. 11 What is the highest common factor of 3430 and 240? 10 What is the highest common divisor of 691 and 57353? 691 Calculate the greatest common divisor of 12549 and 19599. 141 What is the greatest common factor of 648 and 10440? 72 What is the greatest common factor of 7021 and 833? 119 Calculate the greatest common factor of 84836 and 508. 508 Calculate the highest common factor of 360 and 13788. 36 What is the highest common factor of 107 and 678594? 107 What is the greatest common divisor of 4796 and 4972? 44 Calculate the greatest common factor of 1976 and 8008. 104 Calculate the greatest common factor of 750 and 4585. 5 Calculate the greatest common factor of 261056 and 832. 64 What is the greatest common divisor of 1187462 and 76? 38 Calculate the greatest common factor of 8 and 243224. 8 Calculate the highest common divisor of 75 and 20350. 25 What is the greatest common divisor of 495 and 39435? 165 Calculate the highest common divisor of 174087 and 828. 207 What is the greatest common divisor of 210 and 14730? 30 Calculate the greatest common factor of 12 and 45688. 4 What is the highest common factor of 4625 and 800? 25 Calculate the highest common divisor of 60 and 5790. 30 What is the highest common divisor of 1791830 and 1180? 590 What is the highest common divisor of 46 and 1511974? 46 Calculate the highest common factor of 4 and 35696. 4 What is the greatest common factor of 436 and 304? 4 What is the highest common divisor of 49732 and 1? 1 What is the highest common divisor of 161032 and 8? 8 What is the highest common factor of 7738 and 1908? 106 What is the highest common factor of 152 and 3078? 38 Calculate the greatest common factor of 1887 and 1133754. 111 What is the greatest common divisor of 6741 and 2772? 63 What is the highest common factor of 7420 and 2180? 20 Calculate the highest common divisor of 2962336 and 416. 416 Calculate the highest common divisor of 151870 and 10. 10 Calculate the greatest common divisor of 236777 and 97. 97 What is the greatest common divisor of 3166970 and 5? 5 What is the highest common factor of 12 and 437184? 12 What is the highest common factor of 1703 and 1378? 13 What is the highest common divisor of 187512 and 16? 8 What is the highest common divisor of 2655 and 2115? 45 Calculate the greatest common factor of 3848 and 216968. 296 Calculate the highest common factor of 2370 and 21480. 30 Calculate the highest common divisor of 13305 and 4. 1 Calculate the highest common factor of 7344 and 47088. 432 Calculate the greatest common factor of 1914 and 3422. 58 What is the highest common di
{ "pile_set_name": "DM Mathematics" }
= 2*v + 3*v. Let g(p) = 5*p**3 + 3*p**2 - 3. Calculate v*g(x) - 4*q(x). x**3 - x**2 + 1 Let b(w) = -9*w**3 - 2*w**2 + 5*w - 9. Let s(o) be the second derivative of o**5/4 + o**4/12 - o**3/2 + 5*o**2/2 + 9*o. Give -3*b(t) - 5*s(t). 2*t**3 + t**2 + 2 Let a(o) = -o**3 + o - 1. Let p(n) = 9*n**3 - 9*n**2 - 5*n + 3. Determine 5*a(b) + p(b). 4*b**3 - 9*b**2 - 2 Let t(h) be the first derivative of h - 3. Let l(z) = -z + 1. Calculate l(p) - 3*t(p). -p - 2 Let f(p) = -p**3 + 12*p**2 + 15*p - 19. Let s be f(13). Let x = s + -3. Let g(j) = -2*j**2 - 5*j. Let q(i) = 4*i**2 + 11*i. Calculate x*q(o) + 9*g(o). -2*o**2 - o Let y(f) = -9*f**2. Let c(d) = -19*d**2. Give 6*c(u) - 11*y(u). -15*u**2 Let y(u) = 5*u + 16. Let s(w) = -21*w - 64. What is 2*s(o) + 9*y(o)? 3*o + 16 Suppose -5*i - 11 = -0*n + 4*n, 0 = -4*n - 3*i - 5. Let g(c) = -3*c - 3. Let u(v) = v + 1. Calculate n*u(z) + g(z). -2*z - 2 Suppose -x + 4 = -0*x. Suppose -2*w + 12 = x*u, 0 = -w + 2*u - u - 9. Let n(p) = 2*p + 3*p**2 + 0*p - 2*p - 2*p. Let h(z) = z**2. What is w*h(r) + n(r)? -r**2 - 2*r Let w(h) = -h + 2*h**3 - 2*h - h - 4*h**2. Suppose 4*d - 2*d = 2*f - 12, 17 = -3*f - 4*d. Let l(g) = -g**3 + g**2 + g. Determine f*w(a) + 4*l(a). -2*a**3 Suppose -6*n + 2*n = -24. Let v(w) = w**2 - 6*w + 6. Let a(m) = 7*m + 6 - 3*m**2 - 23 + 10*m. Calculate n*a(s) + 17*v(s). -s**2 Let t(p) = -3*p - 1 - 4*p**3 - 2*p**2 - 4*p**3 + 9*p**3 + 4*p**2. Let u(y) = -10*y + 7*y**2 - 1 - 2 + 3*y**3 + 0*y**3. Calculate 7*t(m) - 2*u(m). m**3 - m - 1 Let j(o) = 10*o**3 + o**2 - o - 1. Let r(x) = -10*x**3 - 2*x**2 + x + 1. Calculate -3*j(z) - 2*r(z). -10*z**3 + z**2 + z + 1 Let z(q) = -q - 2. Let f be 10 + (2 - 6) + 1. Let y(k) = 2*k + 3. Give f*z(g) + 5*y(g). 3*g + 1 Let q(z) = -7*z**3 - 2*z**2 - 2*z - 2. Let a(p) = -21*p**3 - 7*p**2 - 7*p - 7. Calculate 2*a(s) - 7*q(s). 7*s**3 Let g(n) = -3*n + 5. Let r(y) be the first derivative of 3*y**2 - 9*y - 10. What is -5*g(z) - 3*r(z)? -3*z + 2 Let q(k) = 6*k - 1. Let t(b) = -b - 1. Give q(z) + 3*t(z). 3*z - 4 Let s(v) = 4*v**2. Let m(u) = 4*u**2 + u + 1. What is -2*m(d) + 3*s(d)? 4*d**2 - 2*d - 2 Let j(w) = -w**3 - w - 1. Let f(r) = 7*r**3 + 11*r**2 + 6*r + 11. Let k(q) = -f(q) - j(q). Let y(g) = -g**3 - 2*g**2 - g - 2. Determine 2*k(p) - 11*y(p). -p**3 + p + 2 Let y(b) = -2*b + 6. Let n(j) = -3*j + 7. Calculate -5*n(p) + 6*y(p). 3*p + 1 Let j(g) be the second derivative of -g**2/2 - g. Let v(d) = d**3 - 1. Let f be v(1). Suppose f*z + 12 = -4*z. Let p(a) = 2*a + 3. Calculate z*j(n) - p(n). -2*n Let f(m) = -m**3 + m - 4. Let h(s) = -s + 3. What is -3*f(v) - 4*h(v)? 3*v**3 + v Let b(p) = -2. Let g(f) = -f + 1. Determine 4*b(v) + 6*g(v). -6*v - 2 Let y(x) = 29*x + 4. Let c(b) = -14*b - 2. Determine -5*c(d) - 3*y(d). -17*d - 2 Let c(w) = 3*w**3 - 4*w**2 + 3*w - 4. Let g be 9/(9/(-8)) + 5. Let l(q) = 2*q**3 - 3*q**2 + 3*q - 3. Calculate g*c(o) + 4*l(o). -o**3 + 3*o Let x be 4/(-6)*3/(-1). Let h(b) = -4 + x - 2. Let n(p) = -p - 9. Give 5*h(l) - 2*n(l). 2*l - 2 Let b(f) = 2*f**2 + 5*f. Let r(t) be the first derivative of t**3/3 + t**2/2 + 4. Determine -b(z) + 5*r(z). 3*z**2 Let v = 51 - 44. Let y(d) = -6*d**3 + 9*d**2 + 11*d. Let h(c) = -3*c**3 + 5*c**2 + 6*c. Calculate v*h(z) - 4*y(z). 3*z**3 - z**2 - 2*z Let j(s) = 8*s**3 + s**2 - 6*s - 8. Suppose 9 + 7 = 4*l + 2*b, l = -3*b - 6. Let i(a) = -23*a**3 - 3*a**2 + 17*a + 23. What is l*i(h) + 17*j(h)? -2*h**3 - h**2 + 2 Let s(z) = -133*z**3 + 114*z**2. Let i(k) = k**3 - k**2. What is 114*i(b) + s(b)? -19*b**3 Let o(k) = 2*k**3 + 3*k**2 - 3*k - 5. Let s be (-54)/15*15/(-3). Let d = 13 - s. Let j(t) = -5*t**3 + 5*t + 2*t**3 - 4*t**2 + 9 - t**2. What is d*o(n) - 3*j(n)? -n**3 - 2 Let d(u) = -2*u + 34. Let n be d(0). Let p(y) = -y + 3. Let m(v) = 6*v - 17. Calculate n*p(l) + 6*m(l). 2*l Let o(t) = t - 1. Let j(x) = x**3 + 11*x**2 + x + 12. Let f be j(-11). Suppose f = -p + 2*p. Let n(k) = 1 + 4 - 8*k - p + 3*k. Determine n(g) + 3*o(g). -2*g + 1 Let r(c) = -9*c**2 + 6*c**2 + 4*c**2. Let s(y) = -7*y**2 + 2*y - 2. Give 6*r(x) + s(x). -x**2 + 2*x - 2 Let j(m) = m**2 + 4*m - 22. Let f be j(-7). Let k(g) = g**3 + g. Let x(h) = -h**3 + h**2 + h. Give f*k(t) + x(t). -2*t**3 + t**2 Suppose -5*b + 3*b = -l - 16, 0 = 3*b + 2*l - 10. Let z(w) = -w. Let g(t) = 2*t + 1. Calculate b*z(f) + 2*g(f). -2*f + 2 Let d(i) be the third derivative of -i**4/8 + 4*i**3/3 + i**2. Let p(z) = -z + 1. Give d(o) - 6*p(o). 3*o + 2 Let u(h) = 39*h + 1. Let q(a) = a. Calculate 6*q(v) - u(v). -33*v - 1 Let m(h) = -h + 6. Let n(o) = -o**2 - 2*o + 19. Let g(j) = 8*m(j) - 3*n(j). Let q(v) = 4*v**2 - 3*v - 13. Determine -7*g(s) + 5*q(s). -s**2 - s - 2 Suppose 3*b = 4*b + 1. Let n(s) = -s. Let v(f) = -f - f**2 + f - f - 5*f. What is b*v(j) + 6*n(j)? j**2 Let g(z) = 23*z**2 - 17*z - 24. Let w(t) = 8*t**2 - 6*t - 8. Give 6*g(n) - 17*w(n). 2*n**2 - 8 Let z(o) = -14*o**2 + 10. Let p(m) = m**2 - 1. What is 12*p(v) + z(v)? -2*v**2 - 2 Let z(c) = -c. Let n(s) = 154*s. Determine n(o) + 132*z(o). 22*o Let l(d) = -2*d**2 - 3*d - 5. Let x(r) be the first derivative of 2*r**3 + 4*r**2 + 14*r - 1. Let w be (-4)/(-16) + 11/4. Calculate w*x(h) + 8*l(h). 2*h**2 + 2 Let x(n) = -1 - 3 + 3 + 2. Let f(z) = -2*z + 1. Let y(i) = 5*i - 2. Let a(d) = -9*f(d) - 4*y(d). Calculate a(l) + 4*x(l). -2*l + 3 Let l(m) = m**3. Let g(h) = 6*h**3 + 25*h. Give -g(c) + 4*l(c). -2*c**3 - 25*c Let j(v) = -4*v**3 - 2*v**2 - 6*v + 1. Suppose 4*f + t - 19 = 0, 0 = -f + t - 4 + 15. Let n(m) = 3*m**3 + 2*m**2 + 5*m - 1. Determine f*n(a) + 5*j(a). -2*a**3 + 2*a**2 - 1 Suppose -o = -5*o + 2*v + 12, -2*v = 3*o - 9. Let l(m) = -3 + 5 - o - 5*m. Let h(k) = k. Suppose -4*b = 6 + 18. Give b*h(q) - l(q). -q + 1 Let r(q) = 3*q**2 - q + 3. Let a(j) = 4*j**2 - j + 4. Calculate 4*a(s) - 5*r(s). s**2 + s + 1 Let c = 10 + -7. Let y(n) = 5*n - 2. Let q(d) = 14*d - 6. Give c*q(i) - 8*y(i). 2*i - 2 Let c(r) = r**2 - r + 1. Let o(j) = -j**3 + 4*j**2 - j - 4. Determine 3*c(g) - o(g). g**3 - g**2 - 2*g + 7 Let q(y) = -y**3 + 5*y**2 - 6*y + 1. Let c be q(3). Let r(z) = z**3 - z**2 - z. Let j(k) = -4*k**3 + 3*k**2 + 3*k - 3. Calculate c*j(n) + 3*r(n). -n**3 - 3 Let d = -5 - -8. Suppose 1 - d = x. Let l(c) = 2*c**2 - 8. Let j(q) = 1. Let b(v) = -18*j(v) - 2*l(v). Let o(m) = -9*m**2 - 5. Calculate x*o(u) + 5*b(u). -2*u**2 Let p(k) = k**2 + k. Let d(m) = 5*m**3 - 5*m**2 - 2*m - 1. Determine -d(w) - 5*p(w). -5*w**3 - 3*w + 1 Let i(q) = -3*q**2 + 4*q - 4. Let c(t) = -t**2 + t - 1. Determine -4*c(p) + i(p). p**2 Let a(q) = -q**3 + 2*q. Let t(k) = k**3 + 1. Let u(v) = 8*v**3 - 11*v + 2. Let f(h) = 2*t(h) - u(h). Suppose -6*g - 5 = 19. Determine g*f(i) + 22*a(i). 2*i**3 Let y(n) = -18512*n**3 + 623*n**2 - 623*n + 623. Let d(g) = -89*g**3 + 3*g**2 - 3*g + 3. Determine 623*d(w) - 3*y(w). 89*w**3 Let z(v) = -5*v**2 + 4*v + 1. Let n(p) = 11*p**2 - 9*p - 1. Determine 2*n(i) + 5*z(i). -3*i**2 + 2*i + 3 Let t(r) = 3*r. Let w(o) = 2*o. Calculate 4*t(u) - 9*w(u). -6*u Let m be (-4 + 2)*13/(-2). Let f = m + -8. Let y(d) = -d + 9. Let b(h) = -2*h + 22. Give f*b(s) - 12*y(s). 2*s + 2 Let v(z) = z**3 + z**2 + 1. Let w(f) = 25*f**3 + 3*f**2 + 3. Determine -3*v(m) + w(m). 22*m**3 Let p(r) = 31*r**2 - 11. Let x(n) = 6*n**2 - 2. Determine -2*p(k) + 11*x(k). 4*k**2 Suppose 4*c = 9*c - 20. Let s(q) = q**2 - q - 5. Let y(z) = 1. Let d = 6 - 4. Suppose -l = d*l - 3. Determine c*y(k) + l*s(k). k**2 - k - 1 Let m(r) = -4*r**3 + 2*r**2 - 2*r - 12. Let z(s) = 5*s**3 - 2*s**2 + 2*s + 13. Calculate -4*m(n) - 3*z(n). n**3 - 2*n**2 + 2*n + 9 Let c = -1 - -3. Let k(y) = y + 6. Let o(h) be the third derivative of h**3/6 + 10*h**2. Calculate c*k(t) - 14*o(t). 2*t - 2 Let c(x) = -15*x**3 - 7*x. Let d(o) = 10*o**3 + 5*o. Calculate 5*c(z) + 7*d(z). -5*z**3 Let g(w) = -3*w**3 + 6*w**2 + 4*w + 6. Let m(a) = -a**3 + a**2 - a + 1. Determine -g(o) + 6*m(o). -3*o**3 - 10*o Let g(w) = -w**2 - 3*w - 3. Let f be 44/10*(-1 - -6). Let h(u) = 4*u**2 + 11*u + 11. Let v be (-1)/(1 - 2)*(-74 - -80). Determine f*g(b) + v*h(b). 2*b**2 Let l(a) = 6*a**2 - 6*a + 6. Let b(w) be the first derivative of -w + 1/2*w**2 - 4 - 1/3*w**3. Give 5*b(s) + l(s). s**2 - s + 1 Suppose 2*p + 12 - 14 = 0. Let a(w) = 2*w + 3. Let u(j) = -j - 1. Calculate p*a(v) + 4*u(v). -2*v - 1 Let b(g) = -g - 1. Let h(d) = -2*d**2
{ "pile_set_name": "DM Mathematics" }
8424 is divided by 1465? 69 What is the remainder when 281610 is divided by 170? 90 Calculate the remainder when 2532523 is divided by 25. 23 Calculate the remainder when 140359 is divided by 4825. 434 What is the remainder when 30737761 is divided by 566? 565 Calculate the remainder when 39058359 is divided by 2552. 2551 What is the remainder when 42657 is divided by 1343? 1024 What is the remainder when 354734 is divided by 2534? 2508 Calculate the remainder when 973673 is divided by 784. 729 Calculate the remainder when 1729680 is divided by 216191. 152 Calculate the remainder when 166889664 is divided by 431. 430 Calculate the remainder when 2206742 is divided by 4344. 4334 What is the remainder when 3069326 is divided by 9473? 74 What is the remainder when 31838837 is divided by 6367765? 12 What is the remainder when 1311063 is divided by 168? 159 Calculate the remainder when 148798 is divided by 992. 990 Calculate the remainder when 59648 is divided by 7039. 3336 Calculate the remainder when 2728557 is divided by 120. 117 Calculate the remainder when 5239471 is divided by 2294. 2269 What is the remainder when 4041158 is divided by 3454? 3432 Calculate the remainder when 13670635 is divided by 13670627. 8 What is the remainder when 734164353 is divided by 1078? 1077 What is the remainder when 2235169 is divided by 14326? 313 Calculate the remainder when 1532851 is divided by 826. 621 Calculate the remainder when 24235904 is divided by 252457. 32 Calculate the remainder when 4256807 is divided by 82. 23 What is the remainder when 156453 is divided by 111? 54 What is the remainder when 4039107 is divided by 11? 6 What is the remainder when 4718469 is divided by 277550? 119 Calculate the remainder when 438133 is divided by 21. 10 Calculate the remainder when 775617 is divided by 618. 27 Calculate the remainder when 5429957 is divided by 7469. 7463 Calculate the remainder when 3095972 is divided by 387. 359 What is the remainder when 30850 is divided by 3845? 90 What is the remainder when 61250 is divided by 30307? 636 Calculate the remainder when 13624568 is divided by 3031. 223 What is the remainder when 42385368 is divided by 44? 36 Calculate the remainder when 1601633 is divided by 818. 807 Calculate the remainder when 30971645 is divided by 73219. 8 Calculate the remainder when 233605 is divided by 17964. 73 Calculate the remainder when 26887245 is divided by 29. 11 What is the remainder when 255471 is divided by 24? 15 Calculate the remainder when 46421 is divided by 38550. 7871 Calculate the remainder when 5875190 is divided by 3264. 3254 What is the remainder when 650424 is divided by 12507? 60 What is the remainder when 2536163 is divided by 195? 188 Calculate the remainder when 2885618 is divided by 3313. 3308 Calculate the remainder when 2318609 is divided by 32. 17 What is the remainder when 3797170 is divided by 115065? 25 Calculate the remainder when 58810 is divided by 1337. 1319 Calculate the remainder when 11126453 is divided by 118. 115 What is the remainder when 105760 is divided by 2237? 621 What is the remainder when 17610073 is divided by 886? 823 What is the remainder when 2698105 is divided by 173? 170 What is the remainder when 21248 is divided by 507? 461 What is the remainder when 81412 is divided by 40080? 1252 Calculate the remainder when 1021611 is divided by 24. 3 Calculate the remainder when 11422 is divided by 10582. 840 What is the remainder when 2179283 is divided by 1850? 1833 What is the remainder when 3770798 is divided by 942698? 6 Calculate the remainder when 1876736 is divided by 16607. 145 What is the remainder when 175340 is divided by 327? 68 Calculate the remainder when 20355711 is divided by 108275. 11 Calculate the remainder when 435664 is divided by 29. 26 Calculate the remainder when 2043092 is divided by 75670. 2 Calculate the remainder when 67448 is divided by 65878. 1570 Calculate the remainder when 334858 is divided by 11536. 314 What is the remainder when 18284 is divided by 6033? 185 Calculate the remainder when 416942 is divided by 680. 102 Calculate the remainder when 16256578 is divided by 6. 4 Calculate the remainder when 217163 is divided by 71310. 3233 What is the remainder when 491435 is divided by 3004? 1783 What is the remainder when 8497937 is divided by 33? 8 What is the remainder when 561322541 is divided by 184? 181 What is the remainder when 24140863 is divided by 160? 63 What is the remainder when 164716346 is divided by 1689? 1688 What is the remainder when 53247 is divided by 1524? 1431 What is the remainder when 63730 is divided by 5242? 826 Calculate the remainder when 1862 is divided by 1618. 244 Calculate the remainder when 31180970 is divided by 109. 103 What is the remainder when 12245752 is divided by 30? 22 What is the remainder when 347544 is divided by 808? 104 Calculate the remainder when 14570319 is divided by 1575. 1569 Calculate the remainder when 75383946 is divided by 2566. 2564 What is the remainder when 560630 is divided by 272? 38 Calculate the remainder when 9593440 is divided by 1582. 192 What is the remainder when 231568 is divided by 231556? 12 What is the remainder when 540561 is divided by 585? 21 Calculate the remainder when 77309 is divided by 583. 353 Calculate the remainder when 118081 is divided by 1177. 381 What is the remainder when 102515 is divided by 1711? 1566 What is the remainder when 1444166 is divided by 1445? 611 What is the remainder when 2646557 is divided by 507? 17 Calculate the remainder when 7539001 is divided by 64. 57 Calculate the remainder when 731359 is divided by 243783. 10 Calculate the remainder when 90820758 is divided by 20. 18 What is the remainder when 1779999 is divided by 45639? 78 What is the remainder when 3574332 is divided by 170192? 300 What is the remainder when 18990452 is divided by 65? 52 What is the remainder when 1464325 is divided by 1464324? 1 What is the remainder when 333080 is divided by 4013? 1 What is the remainder when 249246 is divided by 887? 886 Calculate the remainder when 653797 is divided by 99. 1 Calculate the remainder when 7541511610 is divided by 331. 328 What is the remainder when 433840 is divided by 1298? 308 Calculate the remainder when 7806001 is divided by 72. 49 What is the remainder when 12786984 is divided by 6393453? 78 What is the remainder when 163933 is divided by 1588? 369 What is the remainder when 183248 is divided by 213? 68 What is the remainder when 2651987 is divided by 155998? 21 What is the remainder when 3759728 is divided by 130? 128 What is the remainder when 2272398 is divided by 11? 7 Calculate the remainder when 279509 is divided by 1816. 1661 What is the remainder when 7997947 is divided by 801? 763 Calculate the remainder when 36429 is divided by 2208. 1101 Calculate the remainder when 14387 is divided by 116. 3 Calculate the remainder when 15772 is divided by 15581. 191 What is the remainder when 845346 is divided by 254? 34 Calculate the remainder when 67210718 is divided by 14. 8 What is the remainder when 284758 is divided by 34? 8 What is the remainder when 527429948 is divided by 15? 8 What is the remainder when 77080 is divided by 19173? 388 What is the remainder when 621219 is divided by 58? 39 Calculate the remainder when 147902 is divided by 73950. 2 Calculate the remainder when 1603213 is divided by 14442. 151 What is the remainder when 37758 is divided by 37563? 195 What is the remainder when 1310674 is divided by 1771? 134 What is the remainder when 68680244 is divided by 182? 178 Calculate the remainder when 1725660 is divided by 33180. 300 What is the remainder when 8642884 is divided by 233591? 17 Calculate the remainder when 313366 is divided by 3369. 49 Calculate the remainder when 30195 is divided by 7124. 1699 Calculate the remainder when 9194175 is divided by 326. 323 Calculate the remainder when 117080 is divided by 4553. 3255 What is the remainder when 615295 is divided by 205089? 28 Calculate the remainder when 134513018 is divided by 603. 602 Calculate the remainder when 69463773 is divided by 6304. 6301 What is the remainder when 10304243 is divided by 708? 11 What is the remainder when 3055062 is divided by 572? 10 Calcula
{ "pile_set_name": "DM Mathematics" }
320) + 3)**2 - sqrt(5)) - sqrt(140)/(-3*sqrt(448)). 661*sqrt(5)/12 + 331 Simplify -4*(((sqrt(2299) - sqrt(2299)*-1) + sqrt(2299))*-5 + sqrt(2299) + 4 - (-2 + 5*(0 + sqrt(2299)))). -24 + 836*sqrt(19) Simplify -1 + 1*(-4*(sqrt(1100)*-3 - sqrt(1100))**2 + sqrt(1100) + (sqrt(1100) - -3*(-2 + sqrt(1100)))**2) + 1. -52764 - 470*sqrt(11) Simplify (2 + (-1 + 3*((sqrt(448) + 1 - sqrt(448) - sqrt(448))*-4 - 1*sqrt(448)*4))**2)*4. 684 Simplify ((-1*sqrt(110) + sqrt(110))*1*-6*-3)/((sqrt(640) - -1*sqrt(640))*6 + sqrt(640)). 0 Simplify (-4 + 4 + (-3*sqrt(3872))**2 + -1 + -1)*-1. -34846 Simplify (5*-2*sqrt(375) - -1*sqrt(375)*-2)/(2*sqrt(300) + sqrt(147)*4). -5*sqrt(5)/4 Simplify (-5*1*(sqrt(133) - (sqrt(133) - (sqrt(133) - sqrt(133)*-2)))*-3)/(sqrt(5103) - (3*(sqrt(5103) + -1*sqrt(5103) + sqrt(5103)) + sqrt(5103))). -5*sqrt(19)/9 Simplify (sqrt(972)*-2 - sqrt(972))/((sqrt(9) + sqrt(54)/sqrt(6))*1) + ((-2*sqrt(192))/sqrt(8))/(sqrt(800)*-2 + sqrt(800) + sqrt(800) + sqrt(800)). -46*sqrt(3)/5 Simplify (((sqrt(3744) - (sqrt(3744) - sqrt(3744)*1) - sqrt(3744)) + 2*sqrt(1664))*-4)/(-2*(2*((sqrt(288) - -2*sqrt(288)) + sqrt(288)) + sqrt(288))). 8*sqrt(13)/27 Simplify -5 + (sqrt(57) + (sqrt(171)*2)/sqrt(3) + sqrt(1425) + 2*sqrt(1425))/((sqrt(192) + (sqrt(192) - ((1*sqrt(192) - sqrt(192)) + sqrt(192))))*4). -5 + 9*sqrt(19)/16 Simplify -3*((sqrt(2304) - 2*sqrt(2304)) + 6*(sqrt(16) + sqrt(16) + sqrt(144)))/(sqrt(64)/(sqrt(64)/(sqrt(8) + sqrt(72)))). -27*sqrt(2)/2 Simplify (-4 + (2 + (sqrt(405) + (-1 + sqrt(405) - sqrt(405) - sqrt(405)) + -1 - sqrt(405)) + -5*(sqrt(405) + 1 + sqrt(405)) - 1*-1*sqrt(405)*-6*6))**2. 7614*sqrt(5) + 894726 Simplify 2*((-4*(sqrt(272) - 3*sqrt(272)*3) - ((sqrt(272) + -1*sqrt(272))*4 + 4)) + 1)**2. -1536*sqrt(17) + 557074 Simplify (sqrt(468)*2 + sqrt(468) + -3 + sqrt(468))**2 + (sqrt(468) + 4 + -1 + sqrt(468))**2 + sqrt(468) - ((3 + -2 + 0 + sqrt(468) + sqrt(468))**2 + 4). -90*sqrt(13) + 7501 Simplify (-4*sqrt(84)*-2*6)/(2*2*sqrt(7623)). 8*sqrt(3)/11 Simplify (4*(sqrt(77) + (sqrt(77) - 1*sqrt(77))) + -4*(sqrt(77)*-2 + sqrt(77) + sqrt(77) + sqrt(77)))/(sqrt(55)/(sqrt(5)*-2) - sqrt(66)/(sqrt(6)*1 + sqrt(6))). 0 Simplify ((sqrt(486)*1)/((sqrt(27)/sqrt(3))/sqrt(3)) - ((sqrt(72)*-3)/sqrt(4) + sqrt(18)*2 + 5))**2 + 2. -120*sqrt(2) + 315 Simplify -5*(sqrt(2) + -6*sqrt(2)*6 + -1) + (sqrt(2) - sqrt(576)/sqrt(2) - (sqrt(10)/sqrt(5) + -3)). 8 + 163*sqrt(2) Simplify 4*((sqrt(228)*1*5)/((sqrt(12) + sqrt(300))*-2) - 2*sqrt(171)*-1*2)**2. 367099/36 Simplify ((1*(sqrt(170) - -2*sqrt(170))*-4*-2)/((sqrt(120)/sqrt(3)*-3)/(-3*sqrt(36))))**2. 88128 Simplify -5*((sqrt(132) + (sqrt(132)*-2 + sqrt(132))*4)*-1)/((sqrt(1728) + -3*sqrt(1728) + sqrt(1728))*-1)*-2. 5*sqrt(11)/2 Simplify ((1*sqrt(108)/(sqrt(1728) - -2*sqrt(1728)))/((sqrt(147) - -1*-1*sqrt(147)) + sqrt(147) + (2*sqrt(147)*-2 - sqrt(147))))**2. 1/338688 Simplify (3 + sqrt(245) + 1 + sqrt(245) + 2 + 2 - (3*sqrt(35)*-4)/(sqrt(7) - sqrt(1575)))**2. 1472*sqrt(5)/7 + 45456/49 Simplify (5*-6*1*sqrt(20)*-6)/(sqrt(10) - 3*sqrt(1210) - sqrt(640)/sqrt(4)). -5*sqrt(2) Simplify (((sqrt(468) - sqrt(468)*2)*-6)/(2*sqrt(108)))/(sqrt(3) + sqrt(6)/(sqrt(2)*-2) - -3*(sqrt(3) - sqrt(3)*3)). -2*sqrt(13)/11 Simplify ((-2*sqrt(99)*4 - sqrt(99))/((sqrt(18)*-2)/sqrt(6)))/((sqrt(88)*3 + sqrt(22))/(sqrt(2) - sqrt(24)/sqrt(192))). 27*sqrt(3)/56 Simplify (sqrt(972)*6*2 + (sqrt(75) - -2*sqrt(75)) + -5 + sqrt(75) + 2*(-2 + sqrt(75)) + -4)**2. -6396*sqrt(3) + 181717 Simplify ((-2*sqrt(192)*2)/(sqrt(108)/(sqrt(9) - 1*sqrt(9) - sqrt(9))))/(2*sqrt(288)*1 - (sqrt(288) + 2*sqrt(288))*-3). 2*sqrt(2)/33 Simplify ((5*sqrt(448)*-1 + (sqrt(448) - sqrt(448)*1) + -3 + -2)*2 + 2)**2*5. 6400*sqrt(7) + 224320 Simplify ((-1 + (4*((sqrt(432) - (2*sqrt(432) - sqrt(432))) + -5) + 2 + -3)*-2)*-5)**2. 42025 Simplify (-4*sqrt(150)/((-3*sqrt(120))/sqrt(12)))/((sqrt(30) - (sqrt(3000)*1 - sqrt(3000)))/(sqrt(6) + sqrt(6)*1*-6)). -20*sqrt(3)/3 Simplify (-2 + 4*(2 + sqrt(98)))**2 - -5*-1*(-2 + sqrt(98) + sqrt(98)). 266*sqrt(2) + 1614 Simplify (sqrt(114) - -1*(sqrt(114) - 1*sqrt(114)))/(sqrt(6) - sqrt(6)*1*2) + (sqrt(171) + (sqrt(171) + -1 - sqrt(171)) + 4 + 3)**2 + -5. 35*sqrt(19) + 202 Simplify -3*(2*sqrt(384) + sqrt(384))/sqrt(12)*-3 - (0 + sqrt(72) + -2 + (sqrt(72)*-1*3)**2)*5. -3230 + 78*sqrt(2) Simplify (4*((-1*sqrt(22))/sqrt(2) + sqrt(77)/(sqrt(7)*2)))**2 - (sqrt(275) + (-2 + sqrt(275))**2 + 3 + 1). -239 + 15*sqrt(11) Simplify (1 + sqrt(24)/((sqrt(54)/sqrt(2))/sqrt(9)) - ((0 + sqrt(1152))*-5 - (sqrt(1152) + sqrt(1152)*1*-5))**2) + -2. -1153 + 2*sqrt(2) Simplify (2 + -5 + (4*sqrt(56)/sqrt(7) - -3*(-4 + sqrt(2))*2))*4. -108 + 56*sqrt(2) Simplify ((-4*1*sqrt(252))/(1*sqrt(36)))/(-1*(sqrt(81) - sqrt(9)) - sqrt(9)*2*1). sqrt(7)/3 Simplify -1 + ((0 + sqrt(68) + -1 + -5 + 1*(sqrt(68) + -5*(sqrt(68) + sqrt(68) + (0 + sqrt(68) - sqrt(68)) + sqrt(68))))*-3 + 2)**2. 3120*sqrt(17) + 103827 Simplify -1*((-1*2*(sqrt(1300) + 2 - sqrt(1300)) + sqrt(1300) + 1 + sqrt(1300) + 2 + 2)**2 + -4). -5197 - 40*sqrt(13) Simplify -3 + ((0 + sqrt(1620))*-4 - (sqrt(245)*2)**2*-4*-5). -19603 - 72*sqrt(5) Simplify 3 + (-2 + (sqrt(539) + -2 - (-1 + sqrt(396)) - ((sqrt(11) - sqrt(44)/(sqrt(20)/sqrt(5))) + -3))**2)*-5. -20*sqrt(11) - 62 Simplify ((sqrt(96)*-2 - sqrt(96))*-1 - (sqrt(96)*2*-2 - sqrt(96)))/((-3*sqrt(72) - sqrt(72))/sqrt(6) - (sqrt(12) - sqrt(1452)*2)). 16*sqrt(2)/17 Simplify 6*((sqrt(130) + ((sqrt(130) - (sqrt(130)*5 + sqrt(130)) - sqrt(130)) + sqrt(130))*4)/((sqrt(120)*-2)/sqrt(12) - sqrt(10)) + -4)*5. -120 + 190*sqrt(13) Simplify 1*2*(sqrt(3) - sqrt(27)/(sqrt(9)*-5))**2 + 2 + (sqrt(3) - (sqrt(3) + 1)) + 4 + -4. 241/25 Simplify (sqrt(931) + sqrt(931)*-4)**2*-2 + ((sqrt(931)*1 - sqrt(931)) + 2 - sqrt(931)) - -1*(1 + 1*sqrt(931))*4. -16752 + 21*sqrt(19) Simplify (sqrt(1008) + 2 + sqrt(1008) - sqrt(77)/(sqrt(11) + sqrt(66)/sqrt(6))) + 0 + -4 + (3*-2*sqrt(700) - sqrt(700)) + 3. -93*sqrt(7)/2 + 1 Simplify -2*(((sqrt(450)*-2)/sqrt(9) + sqrt(50))/sqrt(405))/(sqrt(5) - (sqrt(125) - sqrt(5))*-1 - sqrt(35)/sqrt(7)*4). 2*sqrt(2)/9 Simplify ((-2 + sqrt(1053))*-1 - (sqrt(1053) + sqrt(1053)*-1*2)) + -2 + (1 + sqrt(1053) + -5 - (-4 + -2 + sqrt(1053))**2). -1093 + 117*sqrt(13) Simplify 0 + -1*((-4*(sqrt(11) - sqrt(88)/(sqrt(32)/sqrt(4)))*6 - 5*(sqrt(1331) + -1 + -1*sqrt(1331) + sqrt(1331))) + 4). -9 + 55*sqrt(11) Simplify (3*sqrt(1200) + 2 + sqrt(1200) + 2 - (1*sqrt(1200) + sqrt(1200) + -4)*1)**2 + -3. 640*sqrt(3) + 4861 Simplify (-4 + 4*1*(-5 + 2*(0 + sqrt(99) + 1))*3)**2. -5760*sqrt(11) + 58624 Simplify -2*(2*(sqrt(156) - 3*sqrt(156)) - (sqrt(156) + 2*sqrt(156))*-4)/(((-2*sqrt(84) + sqrt(84) - sqrt(84))*-1)/((sqrt(126) - sqrt(14))/sqrt(2))). -16*sqrt(13) Simplify -5*3*(sqrt(1617)*-5*2)/((sqrt(1584) + -4*sqrt(1584))/sqrt(4)). -175*sqrt(3)/3 Simplify -1 + (2*-2*2*sqrt(66))/(sqrt(6) + sqrt(486)*-1 - (sqrt(108)/sqrt(3))/sqrt(6)). -1 + 8*sqrt(11)/9 Simplify (((sqrt(24) + sqrt(384))*-4 - (1*sqrt(96) - sqrt(96) - sqrt(96)))*-1)/(sqrt(288)*-2 - sqrt(8)*1*-1). -18*sqrt(3)/11 Simplify (sqrt(33) - sqrt(132)/sqrt(4)*5 - (sqrt(33) + -6*-2*sqrt(33)))/((-2*sqrt(18)*-1)/sqrt(6))*-5. 85*sqrt(11)/2 Simplify ((sqrt(20)*4 + sqrt(20) + sqrt(20))*3)/(-5*(sqrt(80)/sqrt(8) + sqrt(10))) + ((sqrt(84)/(sqrt(14)/sqrt(2)) - sqrt(12))/sqrt(6)*2 + 1)**2. -9*sqrt(2)/5 + 1 Simplify (-6*sqrt(119)/(sqrt(28)/sqrt(4)*6) + (3 + 1*(2 + sqrt(272)))**2)*-2. -594 - 78*sqrt(17) Simplify (-3 + 1 + sqrt(304) + sqrt(304) + 0 + -3 + sqrt(304) + (sqrt(304) + sqrt(304)*-4)*-2 + 6*(sqrt(304) + 0) + sqrt(304))**2. -640*sqrt(19) + 77849 Simplify (4*(-4 + ((0 + sqrt(272))*4 - sqrt(272)) + -1 + sqrt(272) + sqrt(272) + -1 + (sqrt(272) + sqrt(272) + 2 + (sqrt(272)*-1 - sqrt(272)))*4) + 1)**2. 1440*sqrt(17) + 108881 Simplify (5 + ((-1 + sqrt(847))*-2 - ((1 + sqrt(847))*4)**2) - (5 + (sqrt(847)*1*5*-3)**2)) + 3. -204138 - 374*sqrt(7) Simplify (6*(-6*(-3 + sqrt(88)/sqrt(8)) + 4 + -2*(-5 + 3*sqrt(44)/sqrt(4))))**2. -27648*sqrt(11) + 93888 Simplify -4 + ((sqrt(704)*2 - sqrt(704))*3 + 5 - -6*(sqrt(704) + -1)*4)**2 + -3 + 4. -8208*sqrt(11) + 513574 Simplify 5 + (2 + sqrt(448) + 2 + 3 - (4 + sqrt(35)/(sqrt(5) + sqrt(605) + 3*sqrt(605)))) + -5. 3 + 359*sqrt(7)/45 Simplify (3*sqrt(54)*-6*2)/((sqrt(144)/sqrt(225))/((sqrt(512)*3 - sqrt(512)) + sqrt(8))).
{ "pile_set_name": "DM Mathematics" }