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182. Sort l, -1/3, -247 in decreasing order. l, -1/3, -247 Let y = 589.4 - 589. Sort y, -1/5, 0.06 in descending order. y, 0.06, -1/5 Let o(x) = 11*x - 7. Let m be o(2). Let z be ((-9)/m)/(3/15). Put z, -2, 1, 4 in ascending order. z, -2, 1, 4 Let b = 169.27 + -168. Let z = b + -0.27. Put 0.3, -0.07, z, -4 in increasing order. -4, -0.07, 0.3, z Let u = -56 - -61. Suppose -5*q - 4 = 1. Let r be (-1)/((3/q)/(-9)). Sort 4, u, r in descending order. u, 4, r Let z(r) = -2*r**3 - 2*r**2 + 7*r + 5. Let t be z(-2). Sort 517, 4, t in decreasing order. 517, 4, t Let d = -135.1 - -139.1. Let t(y) = -y**2 - 4*y + 4. Let p be t(-5). Let s = -89/441 - 1/49. Put p, d, s in ascending order. p, s, d Let t(n) = 111*n + 445. Let r be t(-4). Put 15, r, -2, 3 in decreasing order. 15, 3, r, -2 Let p = 491 + -509. Put -5, 7, p in decreasing order. 7, -5, p Let k be 6/10*(-450)/(-54). Put -0.18, -0.6, k, 3/8 in increasing order. -0.6, -0.18, 3/8, k Let t(m) = m**3 - 8*m**2 + 3*m + 8. Let z be t(7). Let v be (25/z + 0)*4. Sort -4, v, 2. v, -4, 2 Let v = -113471 - -793032/7. Let s = v + 181. Let r = 2/99 + -115/792. Sort 3/8, s, r in increasing order. r, s, 3/8 Let u = -0.3 + 0.34. Let n = 9 - 9.46. Let t = u - n. Sort 0, t, 4. 0, t, 4 Let l(m) = 7*m**3 - 3*m**2 - 5*m + 7. Let w be l(-3). Sort 3, w, 5 in descending order. 5, 3, w Let y = -3.92 + 4. Let k = 0.22 + y. Let h = -117 + 116.7. Put 1/5, k, h in decreasing order. k, 1/5, h Let v be ((-15)/(-5))/(-2*(-9)/24). Let f be (-6)/4*4/(-2). Suppose 2*b + 10 = -0*b. Sort v, f, b in increasing order. b, f, v Suppose 4*v - 3 = -47. Let b be (v/44)/(9/8). Let g = -93 - -836/9. Put g, 5/7, b in decreasing order. 5/7, g, b Let h = 0 - 0. Let z = h - 0. Let o = -0.0063 - 0.3937. Sort o, -0.8, z in decreasing order. z, o, -0.8 Suppose -29 + 21 = -w + 3*h, 5*w - 20 = 5*h. Put w, 4/5, 0.6 in ascending order. 0.6, 4/5, w Suppose 5*b = 3*f + 3*b - 18, -4*f - 5*b + 24 = 0. Sort 4, 5, f, -3 in decreasing order. f, 5, 4, -3 Let q = -17 - -12. Let p(g) = -19*g + 66. Let v(x) = 9*x - 33. Let d(w) = -4*p(w) - 9*v(w). Let m be d(7). Sort -1, q, m. q, m, -1 Let r(g) = g**3 - 15*g**2 + 14*g - 2. Let h(u) = -2*u + 2. Suppose -4*t - 7 = 1, 3*p + 28 = -5*t. Let n be h(p). Let c be r(n). Put 3, c, 2 in descending order. 3, 2, c Let c = -157 - -152. Let q = 2258096/133 + -16978. Let s = -5/19 - q. Put c, s, -1/3 in decreasing order. -1/3, s, c Let d = -247.9 - -247.7. Sort d, -0.4, -3/4, 2.8 in descending order. 2.8, d, -0.4, -3/4 Let n(w) = -19*w - 10. Let z be n(-3). Let o = 45 - z. Sort -0.3, 2, o, 4. o, -0.3, 2, 4 Suppose 5*w + u = 47, 4*w - 9*u = -10*u + 38. Sort w, 5, -5 in descending order. w, 5, -5 Let o = -0.01 + -3.99. Put o, -7, 2/13 in descending order. 2/13, o, -7 Let b be (-3 + (-19)/(-5))*5/6. Sort 0.3, 2, 1/2, b. 0.3, 1/2, b, 2 Suppose t = -3*o - 17, o - 3 = 5*t + 2. Sort -2, o, -3 in descending order. -2, -3, o Suppose 17*y + 4*c = 22*y - 343, -3*c - 6 = 0. Sort 1, y, -4. -4, 1, y Let c = -1.2 + 1. Let h = 28 - 27.7. Sort 2/9, c, h. c, 2/9, h Let n = 4 - 7. Suppose -z - 16 = 5*l + 6, -4*l = 16. Let p be z*(-2)/(-5)*15/3. Put -2, n, p in decreasing order. -2, n, p Let t = -4 + -2. Let z = t + 8. Let k be 30/(-16) - -1*(-1)/8. Put -5, k, z in decreasing order. z, k, -5 Let t be 15 - 11 - (3 + (1 - 0)). Put t, 3, 2 in descending order. 3, 2, t Let q = -4330/19 - -228. Let u = 10523 - 10531. Sort q, 2/9, u, -3/7. u, -3/7, q, 2/9 Suppose 6*k - 4*k + 12 = 0. Let o(l) = -l**2 - 7*l - 4. Let f be o(k). Suppose 4*c = -5*a - 4, 2*a = -3*c + c. Put f, 3, c in decreasing order. c, 3, f Let m = 5633 - 5633.2. Suppose 0 = y - 0 - 2. Put 0.06, m, y, 5 in descending order. 5, y, 0.06, m Let l be (4 + -5)*5/(-1). Let x be ((-86)/14 + 6)/(1/l). Sort 0.2, x, 0.3. x, 0.2, 0.3 Let j = -3 + -1. Let q = 190 - 152. Put q, j, -1/4 in descending order. q, -1/4, j Let w = 15.1 + -12. Let t = w + -1.8. Let b = t + -5.3. Put 3/2, 0, b in ascending order. b, 0, 3/2 Let m = 161 - 158. Suppose m*n - 7 = 4*h, n = -2*n + 3. Sort 5, h, -4 in increasing order. -4, h, 5 Let p = 152 + 7. Let d = -172.6 + p. Let i = 14 + d. Sort i, 0.1, -2 in increasing order. -2, 0.1, i Let z = 13 + -20. Put 2, -2/9, z, -0.5 in increasing order. z, -0.5, -2/9, 2 Suppose -27*b = -3*a - 29*b + 18, 14 = a - 2*b. Sort 2, 1, -5, a. -5, 1, 2, a Let v = 66 - 82. Let y be 4 + 0/1 + v/2. Sort y, -2, -6 in decreasing order. -2, y, -6 Suppose -60*k + 1 = a - 55*k, -2*k = -3*a - 14. Sort a, 2/13, 0.02, 4 in ascending order. a, 0.02, 2/13, 4 Let j be (-7 + 4)*(0 - -3 - 2). Suppose 4*d = 8*d - 2*p - 8, 0 = 3*p - 6. Sort d, -5, j, 5. -5, j, d, 5 Let m(v) = 12*v**2 + 32*v + 7. Let u be m(-3). Sort -1, u, -5, 2. -5, -1, 2, u Let o be (((-80)/(-28))/10)/((-6)/(-140)). Sort 0.1, o, 4, -3 in ascending order. -3, 0.1, 4, o Let i be (4 - -2)*(0 + 4/3). Put 2, i, -4 in descending order. i, 2, -4 Let u = -52 - -55. Let d = -15 - -18. Let v = -1 + d. Sort -4, v, u in decreasing order. u, v, -4 Let q be 2 - ((-2)/3)/((-122)/(-549)). Suppose 2 - 7 = 2*m + 3*b, 0 = m + b + 2. Put 1, m, q in increasing order. m, 1, q Let p be (7/28)/((-15)/90764). Let l = -1512 - p. Let o = -2/5 + l. Put 3, o, 1 in descending order. 3, 1, o Let f(c) = -c**2 - 34*c + 97. Let r be f(-37). Put 4, r, -3, -2 in decreasing order. 4, -2, -3, r Let r be 2/(-6)*42/28. Put -1.1, -4, r, 1 in descending order. 1, r, -1.1, -4 Let v(h) = -h**2 - 53*h - 518. Let n be v(-37). Put 2, -0.4, n in increasing order. -0.4, 2, n Suppose 19 = -3*c + c - 3*o, 16 = -5*c + 3*o. Let x = -15 + 14. Let j = 1 - x. Sort j, 4, c. c, j, 4 Let j = 1277 - 1273. Sort 3/49, j, -5/3 in decreasing order. j, 3/49, -5/3 Let m be (-6)/10 + (-13)/(-5) + -1. Suppose 4*t - 4 - 8 = -2*h, t - 6 = -2*h. Let o be m/1 + (4 - h). Sort -7, -1, o in descending order. o, -1, -7 Let h be 1/(-4) + (-33)/12. Suppose 25*d = 26*d - 4*g + 5, 3*g = -d + 9. Sort -2, -8, d, h. -8, h, -2, d Let j(n) = 4*n**3 + 3*n**2 + 4*n - 3. Let k(v) = -5*v**3 - 4*v**2 - 4*v + 3. Let z(o) = -6*j(o) - 5*k(o). Let w be z(2). Put 0, w, 0.2 in increasing order. 0, 0.2, w Suppose -6*l + 5 = 11. Sort 0, l, -3, 5 in decreasing order. 5, 0, l, -3 Suppose 52 = 7*k + 17. Sort -3, 2, -5, k in decreasing order. k, 2, -3, -5 Suppose -5*j - 1323 = b, -4*j + 3*b = 962 + 104. Sort 2, 4, j in increasing order. j, 2, 4 Suppose 5*r + 0*u - 16 = -3*u, 0 = -r + 2*u + 11. Let d be r + -3*(-52)/(-32). Sort 2, d, 0 in decreasing order. 2, d, 0 Let j be (-8)/(-6)*((-297)/18)/(-11). Sort 3, -10, j, 1. -10, 1, j, 3 Let q(w) = w**3 - 5*w**2 - 14*w + 4. Suppose 3*l - 4*l = -3, 2*t - 23 = -3*l. Let n be q(t). Sort -5, 1, n, -1 in decreasing order. n, 1, -1, -5 Let f(z) = -7*z**2 - 15*z + 5. Let w(o) = -4*o**2 - 8*o + 3. Let b(i) = 3*f(i) - 5*w(i). Let v be b(-4). Sort 1, -1, -4, v. -4, -1, 1, v Let l be ((192/(-40))/8)/(27/10). Let d be (-280)/18 + (-4)/(-18). Let b = 15 + d. Sort l, 3, b in decreasing order. 3, l, b Let z = 0.72 + 46.28. Let f = z + -43. Sort 1, 1/2, f, -1/5. -1/5, 1/2, 1, f Let q(o) = 5*o - 14. Let j be q(2). Sort 5, 7, 1, j in decreasing order. 7, 5, 1, j Let y = 5 + 0. Let a be (-3)/(-6) - (-77)/(-14). Sort a, -1, y, 3. a, -1, 3, y Let l be (-80)/(-36) + -1 + -1. Let y = -0.01 - -0.41. Sort l, 0, y in descending order. y, l, 0 Suppose -5*v + 6 = -n + 27, 4*v - 3*n = -19. Let l(p) = 2*p**2 + 19*p + 13. Let a be l(-8). Sort v, a, 5 in descending order. 5, v, a Let z = -12 - -16. Suppose 0 = z*x - 3*d - 25, -3*x + 4*d = -d - 27. Suppose -x*j = 16, 5*r - 14 = 3*j + 8. Put r, -3/4, 4/7 in increasing order. -3/4, 4/7, r Let q = 84.1 + -89.1. Put 0.5, -3/5, q, -0.4 in increasing order. q, -3/5, -0.4, 0.5 Let m = -219 - -212. Sort m, 4, -5 in decreasing order. 4, -5, m Let u(y) = -y**3 - 5*y**2 - 2*y - 6. Let h be u(-5). Let k be (4/(-14)*-1)/(3/7). Sort k, h, 0.3. 0.3, k, h Suppose 2*n - 10 = 0, 0 = 5*q + n + 1 - 16. Let g = -1.2 - -1.3. Put q, g, 0.4 in ascending order. g, 0.4, q Let k(i) = 3*i - 22. Let b be k(4). Let o be (-44)/b + 18/(-60)*-2. Let q = 1.4 + -1. Put q, -0.1, o in decreasing order. o, q, -0.1 Let g = 14.5 - 16.5. Sort 0.55, 1, g. g, 0.55, 1 Let d(s) = -3*s + 52. Let i be d(14). Suppose -2*w + 12 = i*w. Put -4, 6, w, 2 in ascending order. -4, w, 2, 6 Let i be 456/33 - 10/(-55). Suppose 3*b = -v -
{ "pile_set_name": "DM Mathematics" }
0000? 320000 Round 0.1124 to two decimal places. 0.11 What is -0.004 rounded to zero decimal places? 0 What is 536.8 rounded to the nearest 100? 500 Round -224200 to the nearest one thousand. -224000 What is -466 rounded to the nearest 10? -470 What is -24871000 rounded to the nearest 100000? -24900000 Round 0.00021177 to six dps. 0.000212 Round -33.48 to the nearest ten. -30 What is 3.867 rounded to the nearest integer? 4 Round -91907 to the nearest 1000. -92000 What is -0.1222 rounded to three dps? -0.122 Round 0.004506 to 4 dps. 0.0045 What is 5715000 rounded to the nearest 1000000? 6000000 What is -265520000 rounded to the nearest one million? -266000000 Round -0.00095921 to four dps. -0.001 What is -0.00695 rounded to three dps? -0.007 Round -0.191243 to 3 decimal places. -0.191 Round 432.9 to the nearest one hundred. 400 What is 119330 rounded to the nearest ten thousand? 120000 What is 303500 rounded to the nearest 100000? 300000 Round -0.012795 to three decimal places. -0.013 What is -249.96 rounded to the nearest 10? -250 Round -0.1888 to 1 dp. -0.2 Round 163000 to the nearest 100000. 200000 What is 0.4214 rounded to two decimal places? 0.42 Round -879.59 to 0 dps. -880 What is -0.00000719 rounded to four dps? 0 Round 0.000019227 to 6 dps. 0.000019 Round -778.7 to the nearest 10. -780 Round 23.39 to the nearest ten. 20 Round 0.00000129 to seven decimal places. 0.0000013 What is 349180 rounded to the nearest 10000? 350000 What is -1074570 rounded to the nearest 100000? -1100000 What is 70940 rounded to the nearest one thousand? 71000 What is -502000 rounded to the nearest 100000? -500000 What is -230.57 rounded to the nearest 100? -200 Round 3118000 to the nearest 100000. 3100000 Round -0.00043846 to six dps. -0.000438 Round 0.00001202 to 6 decimal places. 0.000012 Round -21.791 to the nearest integer. -22 What is 0.003826 rounded to four decimal places? 0.0038 Round 6.513 to 0 decimal places. 7 Round -6133700 to the nearest 100000. -6100000 Round 5.26 to one decimal place. 5.3 Round -0.5706 to 1 decimal place. -0.6 What is -5.778 rounded to the nearest integer? -6 What is 159963 rounded to the nearest 1000? 160000 Round -0.0000015937 to seven dps. -0.0000016 What is -0.00000182479 rounded to seven dps? -0.0000018 Round -0.0064622 to four dps. -0.0065 What is -2727000 rounded to the nearest 10000? -2730000 What is -83303.6 rounded to the nearest one thousand? -83000 Round 3.6671 to 1 dp. 3.7 Round 92.4 to 0 dps. 92 What is 55590 rounded to the nearest 10000? 60000 What is -15300000 rounded to the nearest 1000000? -15000000 Round 0.018816 to 3 dps. 0.019 What is -1716.5 rounded to the nearest 100? -1700 Round 7.91 to the nearest 10. 10 What is 15130000 rounded to the nearest 100000? 15100000 What is -803 rounded to the nearest 1000? -1000 Round -1770000 to the nearest 100000. -1800000 Round 0.0007639 to 4 dps. 0.0008 Round 0.00000095444 to 7 dps. 0.000001 What is 3.327 rounded to 1 decimal place? 3.3 Round -0.003771 to two decimal places. 0 Round 30915 to the nearest one hundred. 30900 What is 671170 rounded to the nearest 10000? 670000 Round 34081000 to the nearest one hundred thousand. 34100000 What is 0.0092716 rounded to 4 decimal places? 0.0093 Round 0.0002036 to five dps. 0.0002 What is -0.00151 rounded to 3 dps? -0.002 What is 0.001196 rounded to four dps? 0.0012 Round -2933300 to the nearest 100000. -2900000 Round -0.173 to 2 dps. -0.17 What is 10639 rounded to the nearest 1000? 11000 What is -0.00000022447 rounded to seven decimal places? -0.0000002 What is -0.0023593 rounded to 4 decimal places? -0.0024 What is -0.01534 rounded to three dps? -0.015 What is -3960000 rounded to the nearest 1000000? -4000000 Round 0.0739 to 1 dp. 0.1 What is -0.00067728 rounded to 4 decimal places? -0.0007 Round -0.00000801 to seven dps. -0.000008 Round 169570 to the nearest ten thousand. 170000 What is -0.000000084 rounded to 7 dps? -0.0000001 What is -43.15 rounded to the nearest ten? -40 What is -5741300 rounded to the nearest 100000? -5700000 What is -2.3601 rounded to zero decimal places? -2 What is -467300 rounded to the nearest 100000? -500000 Round -0.00000004193 to 7 dps. 0 Round -0.00014418 to six decimal places. -0.000144 Round -0.001499 to three dps. -0.001 What is -1676400 rounded to the nearest ten thousand? -1680000 What is 0.01656 rounded to 2 dps? 0.02 Round 0.17616 to two decimal places. 0.18 Round -0.6009 to one dp. -0.6 Round 2510 to the nearest 10. 2510 Round 0.000054049 to six dps. 0.000054 What is -8272700 rounded to the nearest 1000000? -8000000 Round 608000 to the nearest 10000. 610000 What is -13860000 rounded to the nearest 100000? -13900000 What is 6.4776 rounded to zero decimal places? 6 Round -0.6944 to two dps. -0.69 What is -0.000056266 rounded to 6 dps? -0.000056 Round -3097.8 to the nearest 10. -3100 What is -7238.2 rounded to the nearest one hundred? -7200 What is 441000 rounded to the nearest one hundred thousand? 400000 Round 24.483 to zero decimal places. 24 Round -30400000 to the nearest 1000000. -30000000 Round 350200 to the nearest 10000. 350000 What is 15 rounded to the nearest 10? 20 Round 94.77 to zero decimal places. 95 What is -2900000 rounded to the nearest 1000000? -3000000 Round 501 to the nearest 100. 500 Round -0.017559 to 4 decimal places. -0.0176 What is -0.0000181 rounded to five dps? -0.00002 What is 28630 rounded to the nearest ten thousand? 30000 Round -0.000000388 to 7 dps. -0.0000004 Round -6.95 to 0 decimal places. -7 Round -206.6 to the nearest 100. -200 What is -0.09399 rounded to one dp? -0.1 What is 0.397 rounded to 2 decimal places? 0.4 What is 0.39839 rounded to three dps? 0.398 Round -1687.95 to the nearest 10. -1690 What is -0.013 rounded to 1 decimal place? 0 Round 2165800 to the nearest 10000. 2170000 Round -567.93 to the nearest one hundred. -600 Round -0.372 to two dps. -0.37 What is -12100.8 rounded to the nearest one thousand? -12000 What is 4540 rounded to the nearest one thousand? 5000 What is -0.00446 rounded to three dps? -0.004 Round 0.0003741 to five decimal places. 0.00037 What is -0.02512 rounded to 3 decimal places? -0.025 Round -56230 to the nearest ten thousand. -60000 Round 0.0000036091 to seven dps. 0.0000036 Round -0.000001676 to 7 dps. -0.0000017 Round -5073000 to the nearest one hundred thousand. -5100000 What is -0.000664997 rounded to 4 dps? -0.0007 What is 266700 rounded to the nearest ten thousand? 270000 What is -18497000 rounded to the nearest 100000? -18500000 Round 31000000 to the nearest one million. 31000000 What is -2.074 rounded to the nearest integer? -2 What is -3132000 rounded to the nearest one hundred thousand? -3100000 What is 0.44513 rounded to three decimal places? 0.445 Round 3874 to the nearest one thousand. 4000 Round 4832300 to the nearest ten thousand. 4830000 Round 0.0000372459 to five decimal places. 0.00004 What is 4884.6 rounded to the nearest one thousand? 5000 Round -389830 to the nearest 10000. -390000 Round -29739000 to the nearest 100000. -29700000 Round 63.08 to the nearest ten. 60 Round -0.10094 to 2 dps. -0.1 Round -0.000015568 to 7 decimal places. -0.0000156 Round 11898500 to the nearest one million. 12000000 Round 266.9 to the nearest 10. 270 What is -0.0000607 rounded to four dps? -0.0001 What is -0.0707 rounded to two dps? -0.07 Round -1.9629 to two dps. -1.96 Round -0.0015375 to five decimal places. -0.00154 Round 0.00041695 to four dps. 0.0004 Round 11.45 to the nearest ten. 10 What is -4.3445 rounded to two decimal places? -4.34 What is 0.000133176 rounded to five dps? 0.00013 Round 0.000002299 to seven dps. 0.0000023 What is 0.00000072232 rounded to 7 decimal places? 0.0000007 What is 2071.39 rounded to the nearest one hundred? 2100 What is 2260 rounded to the nearest one hundred? 2300 Round -19600000 to the nearest one million. -20000000 Round 0.00002352 to 6 dps. 0.000024 What is 114232 rounded to the nearest ten thousand? 110000 What is 25128.6 rounded to the nearest one hundred? 25100 What is 0.1176 rounded to 2 decimal places? 0.12 Round 0.0000010547 to seven dps. 0.0000011 Round -0.008422 to 3 dps. -0.008 What is -1891550 rounded to the nearest 100000? -1900000 What is 293060 rounded to the nearest 1000
{ "pile_set_name": "DM Mathematics" }
+ k*v**2 and give k. 2 Rearrange (-7*y**2 - 5*y**2 - 4*y**2)*(-3 + 0 + 0) to v*y**2 + q + a*y and give v. 48 Express (-2*b + b - b)*(12*b + 16*b - 10*b)*(-4*b + 0*b + 3*b) in the form x + c*b**3 + f*b + l*b**2 and give c. 36 Express x**4 + x**4 + 0*x**3 + 2*x**3 - 2 in the form k + i*x**2 + p*x + v*x**3 + u*x**4 and give k. -2 Rearrange -58*z**3 + 1 + 5*z**4 + 63*z**3 + 0 + 2*z**2 to the form q*z**2 + l*z**4 + f*z**3 + m + o*z and give o. 0 Express 13*m - 4*m**3 + 3*m**3 - m**4 + 2*m**2 + 4*m + 2*m in the form b*m**2 + z*m + g*m**3 + d*m**4 + h and give z. 19 Rearrange -u - u - 3*u - 2*u**2 to the form s + t*u + x*u**2 and give t. -5 Express (-3*q**2 + 0*q**2 + q**2)*(2 - 2 + 2)*(2 - 6 + 0) as j*q + h + t*q**2 and give t. 16 Rearrange -11*t**2 + 0*t**2 + 0*t**2 - t**2 to o*t**2 + w + c*t and give o. -12 Express 25*h**2 - 36*h**2 - 51*h**2 - 10*h**2 as u + d*h + q*h**2 and give q. -72 Express 103*c - 34*c + 29*c as b + v*c and give v. 98 Express 6*b - 147 + 147 in the form z + o*b and give o. 6 Express 3 - 14*z**3 + 12*z**3 + 7*z**3 in the form v*z**2 + p*z**3 + c*z + u and give u. 3 Express (3*r**2 - r**2 - 3*r**2)*(-2 + 4 - 1) + 44*r**2 - 6827 + 6827 as l*r + o*r**2 + p and give l. 0 Express -97 + 97 - 12*l**2 - 2*l**3 as w*l + k + o*l**2 + g*l**3 and give g. -2 Rearrange (0 + 1 - 3)*(0*i + 2 - 5 - i) - i + 3 - 3 to w + j*i and give w. 6 Rearrange -21 + 4*n**3 - 2*n**3 - 2 to the form m + o*n**3 + u*n + s*n**2 and give s. 0 Rearrange (-2 + 2*v + 2)*(-15 + 31 - 17 - 23*v) to u*v + f*v**2 + j and give u. -2 Express (3 + 0 + 0)*(0*j + 2*j - 5*j) in the form r + n*j and give n. -9 Rearrange (4*o + 0*o - 10*o + (3 + 2 - 3)*(-3*o - 3*o + 5*o))*(3 - 3 + o) to the form t*o + s*o**2 + b and give t. 0 Rearrange 560*j**2 + 1 - 526*j**2 - 2 to the form q*j + l*j**2 + n and give n. -1 Express (1 - 1 - 2)*(-1 + 1 + v**2) - 1 + v**2 + 1 - v**2 + 2*v**2 + 11*v**2 as d*v + h*v**2 + k and give h. 11 Rearrange -2 + 31*c**2 + 2 to the form i*c**2 + b + m*c and give m. 0 Express 3*l + 0*l + 7*l - l as o*l + h and give o. 9 Express -12 - 4 - 3 - 13*z**3 + 24 in the form c*z**2 + m*z**3 + x + q*z and give x. 5 Rearrange c + 3 + 3*c - 3*c to j*c + t and give t. 3 Rearrange (w + 11*w - 5*w)*(-1 + 6 + 1)*(-3 + 0 + 2) to the form x + j*w and give j. -42 Express (-b + 4 - 4)*(0*b**2 - b**2 + 6*b**2) + 67*b**3 - 331*b + 331*b in the form c*b**2 + s*b**3 + p + z*b and give s. 62 Rearrange 2*b + 7 + b + 3*b**4 - 8 + b**3 to the form w*b**2 + t*b**3 + v*b**4 + y + k*b and give t. 1 Rearrange 1741*p**2 - 7 - 1740*p**2 + p - p to the form q*p + s*p**2 + f and give f. -7 Rearrange 0*h - 4*h**4 + 0*h + 0*h + 4*h**4 + 0*h + (h**3 + h**3 - h**3)*(-2*h - 4 + 4) to p*h**3 + x*h**4 + m + z*h**2 + n*h and give x. -2 Express -13*f + 5*f + 5*f - 10 + 2*f**3 in the form t + z*f**3 + r*f + x*f**2 and give t. -10 Express (2*l + l - 2*l)*(3 - 4 - 1)*(-6*l + 8*l - 11*l) as s*l + q*l**2 + i and give q. 18 Rearrange -8*v + 11*v - 13*v to the form l*v + j and give l. -10 Rearrange 6*m**2 - 13*m**2 + 2*m**2 to j*m + d*m**2 + k and give d. -5 Express z**4 - 2 + 2 + (2*z**3 - 4*z**3 + 0*z**3)*(3*z + 5 - 5) + (-1 - 4 + 4)*(3*z**4 + 3*z**4 - z**4) as m*z**4 + w*z**3 + g + f*z**2 + q*z and give m. -10 Rearrange 12*g - 22*g - 4*g**2 + 3*g**2 - 35*g to the form v*g + h*g**2 + a and give v. -45 Rearrange a - 8*a - 2*a to the form n + k*a and give k. -9 Express (-2 + 2 - 4*u)*(4*u**3 + 11*u**3 - 14*u**3) in the form c*u**4 + o*u + z + b*u**2 + n*u**3 and give c. -4 Express 12 - 3*s - 10 + 4*s**3 + s**2 - 5*s**3 as p + o*s**3 + v*s + a*s**2 and give o. -1 Express -23*s**3 - 24*s**3 + 11*s**3 - 1 in the form n + r*s + x*s**2 + i*s**3 and give n. -1 Rearrange 22*w + 13*w - 8*w + 12*w - 3 to l + n*w and give n. 39 Express (-2*n**2 + 4*n**2 - n**2)*(-60*n + 9*n**2 + 60*n) + (-n**3 - n**3 + 3*n**3)*(0*n + 0*n + n) as k*n + l*n**4 + z*n**2 + c*n**3 + d and give l. 10 Express (3 - 15 + 8)*(-5*o**4 + 4*o**4 + 3*o**4) + (-3 + 2*o**2 + 3)*(-3*o**2 + 3*o**2 - o**2) in the form k + c*o + w*o**3 + v*o**4 + b*o**2 and give v. -10 Rearrange -10*i**2 + 4 + 2 - 6 to the form r*i**2 + w*i + b and give r. -10 Express (1 - q - 1)*(17*q + 16*q + 3*q) as h + u*q**2 + w*q and give u. -36 Rearrange -2*b**2 - 2 + 3*b**3 + 3*b**2 + 0*b**3 + 2*b + 0*b**3 to s + i*b + g*b**2 + j*b**3 and give s. -2 Express -99 + 18*u + 99 in the form j*u + o and give j. 18 Rearrange -2*y + 4 - 4 + (5 + 3 - 1)*(2*y - 2*y + y) to the form s*y + g and give g. 0 Express (2*i**3 - 3*i**3 + 0*i**3)*(53 - 18 - 1 + 57) in the form b*i + c*i**3 + m*i**2 + x and give c. -91 Rearrange -8 - 2 + 4*x + 9 + 3 to c + q*x and give c. 2 Rearrange -3*f + 34*f - 6*f to n*f + j and give n. 25 Rearrange 1 - 76*h**4 - h**2 - 79*h**4 + 144*h**4 + h**3 to r + y*h**3 + u*h + l*h**2 + q*h**4 and give r. 1 Express 6 + 0*t + 0*t + t + (0 + 3 - 6)*(-t + 3*t + t) as i + y*t and give i. 6 Express (-2 - 3 + 4)*(-13*o - 16*o + 24*o + (1 + 0 + 1)*(2*o - 3*o + 2*o)) in the form g*o + m and give g. 3 Express 4*s + 2*s**3 - 4*s - 2*s as d*s + g*s**3 + v + c*s**2 and give g. 2 Rearrange (-3*c + c + 7*c)*(0 + 0 + 2) + 2*c - 3*c + 2*c to v + r*c and give r. 11 Express (-232 - 198 + 226)*(5*p**3 - p**3 - 3*p**3) in the form g*p**2 + b*p + o*p**3 + k and give o. -204 Rearrange 367*v**2 + 376*v**2 - 642*v**2 to z + g*v + f*v**2 and give f. 101 Rearrange (5 - 3 - 1)*(5 + 5 - 9 - 9*a) to x + p*a and give p. -9 Express (-2 + 1 - 2)*(1 - 11 - 3)*(-6*q + 2*q + q) as z*q + x and give z. -117 Rearrange (4*r - 8*r + 8*r)*(r + 3*r - 2*r)*(-r**2 + 0*r**2 + 2*r**2) to the form c*r**4 + z*r + o + s*r**2 + k*r**3 and give c. 8 Express 8 - 9*p**4 - 2*p**2 - 13 - 2*p + 3 in the form v*p + l*p**3 + y*p**4 + x*p**2 + u and give x. -2 Express 6*b**3 - 3*b**3 - 4*b**3 + (4 - 3 - 2)*(1206 - 1206 - 75*b**3) as n*b**3 + o*b**2 + i*b + x and give n. 74 Rearrange (3*p + p**2 - 3*p)*(-p - p**2 + 1 - 3 + 4*p**2) to the form o*p + g*p**3 + t*p**4 + h + l*p**2 and give g. -1 Rearrange -p + 6*p + 2*p + 6*p - 4*p + 0*p + (0 - 2*p + 0)*(-5 + 1 - 3) to the form c + t*p and give t. 23 Express (-2*z**2 + 4*z**2 + 2*z**2)*(2 - 3 + 2)*(58 - 58 + z) as u*z**3 + s*z + k*z**2 + y and give u. 4 Rearrange -14*s**3 - 4*s**2 - 16*s**3 + 7*s**3 + 2*s**2 to the form m*s**2 + f*s + z*s**3 + h and give z. -23 Express (3*z**2 - 6*z**2 + 6*z + 0*z**2)*(z**2 - 3*z**2 + z**2) as m*z**2 + w*z + o*z**3 + h*z**4 + u and give h. 3 Rearrange 14 - 10 - 6 + 2*d**3 - d**3 - 10*d**2 to s*d**3 + t*d**2 + f + n*d and give s. 1 Rearrange 0*d**3 - 2*d**3 + d**3 + (-d + 2*d + 2*d)*(d**2 + 2*d**2 + 52*d - 5*d**2) to s*d**3 + q + m*d**2 + j*d and give q. 0 Rearrange -1521*b + 52*b**3 + 1521*b + (3*b - b + 0*b)*(0 + 2*b**2 + 0) to t*b**2 + k*b**3 + i*b + o and give k. 56 Rearrange (1 - 2 + 0)*(0*d**2 + 3*d**2 - d**2)*(24 - 3*d - 24) to the form k*d + a*d**2 + b*d**3 + u and give k. 0 Rearrange (1 - 1 - t**2)*(-4*t + 4*t - 2*t + (-3*t - 4*t + 6*t)*(-3 + 4 + 1) + 3*t + 16 + 9 - 5) to the form w*t + h*t**2 + a*t**3 + g and give a. 1 Express -2*y - 4*y**3 + 9*y**3 + 4*y as s*y**2 + n + c*y**3 + q*y and give c. 5 Express 3*f - 5*f**2 + 13*f**2 - 3*f in the form z*f + q*f**2 + l and give q. 8 Rearrange 2*q**2 - 5*q**3 - q**4 - 1 - 4*q**2 + 3*q**3 + 4*q**2 + 6*q to m*q**2 + y*q + x + l*q**3 + a*q**4 and give x. -1 Express (-17*q + 12*q - 7*q)*(1 + 2 - 5) as g + l*q and give l. 24 Rearrange -2436*o - o**4 + 0 + 2434*o + 2*o**3 + 0 - 6*o**2 to s*o**4 + i*o + r*o**2 + y*o**3 + t and give s. -1 Express -19*o**2 + 0*o**2 - 75*o**2 + 11*o**2 in the form y*o + c*o**2 + v and give c. -83 Rearrange 0 - 3 + 12 + 3*l + (-l + 0*l + 2*l)*(-2 + 4 - 4) to m*l + q and give q. 9 Express (0 + 0 - p + (p - p - 2*p)*(-7 + 7 + 10))*(11*p**2 - p**2 - 5*p**2) in the form j*p**3 + a*p**2 + c + y*p and give j. -105 Express 2*n - 3*n - 4*n - 9*n in the form q + p*n and give p. -14 Rearrange (2 + q**2 - 2)*(q**2 + 16*q + 7*q + 0*q) to b*q**4 + z + j*q + t*q**2 + c*q**3 and give c. 23 Rearrange 3*i**4 - 2*i**4 + i**4 + (i**3 + 3*i**3 - 3*i**3)*(-2*i - 2*i + 3*i) - i**4 - 5*i**4 + 3*i**4 to n*i + u + a*i**4 + t*i**2 + y*i**3 and give a. -2 Rearrange -4*l**4 + 3*l**2 + 2*l**4 + l - l**2 + 5*l**4 to the form n*l + u + b*l**3 + c*l**4 + k*l**2 and give u. 0 Rearrange 0*u - 5 + 29 - 1 - u to
{ "pile_set_name": "DM Mathematics" }
number? False Suppose 2*f + f = -4*r + 1189, r + 2020 = 5*f. Suppose k = 856 + f. Is k prime? True Let l(s) = -44*s**3 + 14*s**2 - 8*s - 25. Is l(-6) prime? False Suppose 3*j - 66 = -3*v, -2*j + 4*j + 4*v - 54 = 0. Let o = -100 - j. Let h = o - -266. Is h a composite number? False Let r be (-4)/((-12)/3)*2. Suppose -3*x + 1550 = 3*k - r*x, 3*k - 1534 = -5*x. Let y = -261 + k. Is y prime? True Let l(s) = -55*s - 1. Let a = 17 + -13. Let i be l(a). Let d = i + 370. Is d a composite number? False Let x be ((-21)/(-15) + -1)*(10 + -5). Is x/7 - (-887)/7 prime? True Let g(k) = -2*k**3 + 33*k**2 - 31*k + 29. Let o(s) = s**3 - 17*s**2 + 16*s - 15. Let p(h) = -2*g(h) - 5*o(h). Is p(15) a composite number? False Let n(g) = 229*g**2 - 7*g - 9. Let k be n(-3). Suppose -10*m + k = -7*m. Is m prime? True Let n(h) = -h**2 + 6. Let r be n(-2). Suppose -r*v + 23 = -21. Is v composite? True Let u be -4 - -2 - 27/(-1). Suppose -u*g + 23*g = -2110. Is g composite? True Let s be 3/(-12) - ((-13458)/8 + 3). Suppose 5646 = 5*b - s. Is b prime? False Let f be -2*2/4*-89. Suppose -20 = 2*v - 4*k, 5*v - 2*k + 5*k = -f. Is (-17 - v)/((-1)/1043) a prime number? False Let s(t) = 10*t - 37. Let r(q) = -q**2 + 14*q + 2. Let l be r(13). Is s(l) composite? False Let m(h) = -83*h. Let s(n) = -2*n**2 + 11*n - 6. Let i be s(5). Is m(i) a prime number? True Let k = -1051 + 2027. Suppose -5*c - 161 = 5*r - k, 0 = r - 4. Is c a composite number? True Let k = -1547 + 2248. Is k composite? False Let o be 68/(-20) + 3 - (-8197)/5. Suppose 4*i + 1632 = 4*v, -v - 3*v - 3*i + o = 0. Is v a prime number? True Let i = 8823 + 29762. Is i composite? True Suppose 65525 + 17758 = 51*f. Is f a prime number? False Suppose 0 = 3*k + 22 + 26. Let x = k - -19. Suppose 3465 = x*p - 4*r, 0 = 5*p - 3*r - 544 - 5220. Is p composite? False Let z = -1662 + 2825. Let a be 4/(-1) + 0 - -3. Is (-1 + 0)/(a/z) a composite number? False Let j = 1143 + -814. Suppose -2*b = -b + 202. Let y = b + j. Is y composite? False Suppose 7*a - 725 = 3132. Is a composite? True Let z be ((-8)/(-10))/(32/10 + -3). Suppose 2*l + 1549 = j, -2*j = -0*j + z*l - 3122. Is j prime? False Let v be (3*21/6)/(4/24). Let r = v + 290. Is r a prime number? True Let m = -1603 + 4766. Is m prime? True Let a(m) = m**2 + 4*m - 12. Let p be a(-6). Suppose p = 4*j + 4*x - 932, 0*j - j + x + 237 = 0. Suppose 4*y = -5*h - 20 + j, 4*h - y = 172. Is h composite? False Let p(j) = 9*j**2 + 1. Let s be -3*1 + (-42)/(-6). Is p(s) a prime number? False Let d = 13 + -11. Suppose 2 = -2*r - d*j, 3*r - 1 = -2*j - 6. Is (-2005)/(-15) + 2/r composite? True Is (-10)/(-25) - ((-2278773)/35)/3 a composite number? True Let y(z) = -2*z - 22. Let u be y(-13). Suppose 0*o + 1964 = u*o. Is o a composite number? False Let b(o) = 21*o**2 - 10 + 3 - 2*o + 5*o - 7*o**2. Is b(12) a composite number? True Suppose -5*w + 61 = -199. Let v be (-5588)/13 + (-8)/w. Is 6/(-4)*v/15 composite? False Suppose 2*g + g + 999 = -3*b, 0 = 5*b + g + 1657. Is (-14)/(-3 + (-991)/b) composite? True Let o(b) = 2*b - 18. Let c be o(10). Suppose -73 - 63 = -4*z - c*k, 39 = z - 2*k. Is z a composite number? True Let c(x) = -x**3 + 16*x**2 - 17*x + 20. Let t be c(15). Let m(j) = j**2 + 13*j + 4. Let n be m(t). Let y = n + 181. Is y a composite number? True Let i = -1110 - -2903. Is i composite? True Is -1*((-43080)/32 + 1/4) prime? False Let f(v) = 16*v - 13. Let w(s) = -17*s + 14. Let q(p) = -6*f(p) - 7*w(p). Is q(5) a prime number? False Let d be -3 + 0 - -445 - 4. Let n be (-6)/39 + (-3402)/26. Let i = n + d. Is i a prime number? True Suppose -10*m + 9*m - 4 = 0. Let n be m + (-1122)/(-4)*2. Suppose 3*u + 2*k - n = 0, 0 = 3*u - 0*k + 4*k - 559. Is u prime? False Let z = 77 + 188. Suppose -u = 11 - 7. Is u + (z - (-4 - 0)) a composite number? True Is 17944 - -30*(-4)/24 composite? False Let m = 481 + -105. Let t = m - 159. Is t composite? True Suppose 3967 = 5*r + 582. Is r + (-1 - 0) + 3/3 prime? True Let m(d) = 19*d**2 + 2*d - 19. Is m(20) composite? False Suppose 200 = -2*c - 3*c. Let y = c + -68. Let z = 149 - y. Is z composite? False Let w(q) = -2*q + 12. Let j(g) = g**2 - g - 1. Let r be j(-2). Let d be w(r). Suppose 2*l = -l + d*u + 1207, -4*u + 407 = l. Is l prime? False Let k be -288 + (5/30 - 19/6). Let s = 238 - -180. Let g = k + s. Is g prime? True Suppose 4*l + 5*s = 9768, 2*s + 0 = -8. Is l a composite number? False Suppose f = 3*w - 8*w - 1450, -3*f - 5*w = 4330. Let o = f + 2939. Is o a composite number? False Let h(r) = -6*r - 2. Let y(x) = -x. Let s(k) = h(k) + 2*y(k). Is s(-6) prime? False Suppose u + 5*c = 1414, -4307 = -3*u - 108*c + 106*c. Is u prime? True Let u(a) = -4*a**3 + 17*a**2 + 19*a - 1. Is u(-6) composite? False Suppose 0 = 4*j + 20, -3*t - 4*j = 45 - 238. Suppose -5*z + 514 = 3*x, -729 - t = -5*x + 3*z. Is x a prime number? True Is -2357*(-5)/(5 + 0) a composite number? False Let t = 509 - -278. Is t prime? True Let i(r) = -70*r**2 + 9*r + 29. Let q(l) = -47*l**2 + 6*l + 19. Let k(z) = -5*i(z) + 8*q(z). Let a(t) be the first derivative of k(t). Is a(-8) composite? False Let h be 1/(3/6)*377. Let m = h + -319. Let b = -244 + m. Is b composite? False Is (-2 + -1)/((-4562)/(-2284) + -2) a prime number? False Suppose 0 = 29*g + 25970 - 213571. Is g prime? True Suppose 0*d - 8*d + 1445848 = 0. Is d prime? True Let m = 773 - 439. Suppose -2*z + 3 = 13, 3*j + z = 40. Is m/10 + (-6)/j composite? True Let m(f) = 4*f**2 - 6*f - 8. Let x be m(-5). Let u(b) = 4*b + 6. Let t be u(6). Suppose t = 4*w - x. Is w prime? False Suppose 42258 = -10*m + 16*m. Is m a composite number? False Suppose -448594 = -19*u - 64376. Is u a prime number? False Let t(j) = 3*j + 2013*j**2 - 2012*j**2 + 0*j + 1931 + j**3. Is t(0) a composite number? False Suppose -3*k - 25749 = -109488. Is k prime? False Is 6 + (19 - 13) + 12397 composite? False Let c(g) = -2015*g - 18. Is c(-5) a prime number? False Suppose 0 = -4*l + 12, 19*q - 5*l = 14*q + 233600. Is q a prime number? True Suppose -7*d - 25888 = -k - 7517, k + d = 18403. Is k a composite number? True Suppose -5*u = 2*s - 25, 3*u - 15 = -s - 1. Suppose -j - 2*j = -s*b - 16151, -3*j = -2*b - 16139. Is j prime? False Is (-8 + -2)/(-2 - 0) - -10128 a composite number? False Let g(f) be the second derivative of 395*f**4/6 + f**2/2 + 8*f - 5. Let p(v) = v**3 - 4*v**2 - 5*v - 1. Let x be p(5). Is g(x) composite? True Is (22 - -68329)/(2 + -1) a composite number? False Let p(y) = 39*y**2 + 6*y - 1. Is p(6) prime? True Suppose 44*u - 5065 = 8443. Is u prime? True Let i = 1172 - 531. Is i composite? False Suppose 14*v = 26*v - 109572. Is v composite? True Let g(v) = v**2 - v. Let r(x) = 55*x**2 + 6*x - 2. Let f(d) = 4*g(d) + r(d). Is f(1) a prime number? True Is (-1 + -7)*948993/(-456) a prime number? True Let l(c) = -282*c - 88. Is l(-13) a composite number? True Is (-3)/(18/37533)*(-7 - -5) composite? False Suppose u + 2*z = -15, 0*u + 60 = -5*u + 5*z. Let l be (13/(-3))/(4/(-48)). Let h = l - u. Is h a prime number? False Let g be (-4)/(-6)*66/4. Suppose -g*s = -10*s - 89. Is s prime? True Suppose 9*r - 12*r = 9, 2*z - 5*r - 62033 = 0. Is z prime? False Let w(h) = -h**3 + 32*h**2 - 148*h - 1. Is w(24) a composite number? True Suppose 0 = 4*w - 4, 2*w - 142 = -4*q - 0*w. Suppose 2*f - 27 = q. Let h = f - 18. Is h a composite number? False Is 11/(-88) + (-18281)/(-8) a prime number? False Suppose r - 2*m - 2*m + 457 = 0, 5*m = 2*r + 902. Let u = 388 - r. Is u a prime number? True Let o be (-12)/66 - 159/33. Let m(a) be the third derivative of a**6/120 + 2*a**5/15 + a**4/6 + a**3/2 - 3*a**2. Is m(o) prime? False Let k = -63 + 37. Suppose -4*z + 185 = p + 12, 3*p - 2*z - 449 = 0. Let i = k + p. Is i prime? True Let f(i) be the first derivative of -61*i**2/2 - 9*i + 10. Let b = 8 - 12. Is f(b) prime? False Let q(k) be the second derivative of 114*k**5/5 + 5*k**4/12 - k**3/2 - 3*k**2/2 + 22*k. Is q(2) composite? False Let i(a) be the second derivative of 0 - 74/3*a**3 - 3/2*a**2 - 5*a. Is i(-2) prime? True Let g(q) = q + 16. Let s be g(-11). Suppose 25 = s*d - 0*d, -15 = -4*z + d. Suppose -4*n + 66 = -3*b + 5*b, -n + z*b = 11. Is n a composite number? True Suppose w - 213 = -w - t, w - 105 = t. Let z = 305 - w. Is z prime? True Let k be 78/(3 + -2
{ "pile_set_name": "DM Mathematics" }
(-3))/(((-18)/4)/3). -2 What is (2*9/(-6))/((-2)/1)? 3/2 Calculate (-30)/4*3/((-45)/10). 5 What is (-9)/(6/(-16)*(-8)/(-2))? 6 Calculate ((-1)/(-6))/((-2)/(-12)). 1 What is the value of (-3*(-2)/42)/(38/(-114))? -3/7 Calculate 10/((-10)/(-1))*(-2)/(-4). 1/2 What is the value of (-4)/112*2*-2? 1/7 What is (-2)/((26/(-39))/1)? 3 (-5)/1*(-2)/5 2 (-2)/((-72)/(-63))*(-4)/1 7 Evaluate (-1)/(((-12)/(-2))/6). -1 What is the value of (-40)/(-250)*10/(-4)? -2/5 Evaluate ((-3)/45*-3)/(45/675). 3 What is (24/21)/(18/(-63))? -4 What is the value of (140/30)/((-6)/(-27)*3)? 7 (-15)/12*5/((-15)/12) 5 Calculate (270/(-45))/(6/5*-1). 5 What is (2/1)/(8/(-16)*-4)? 1 What is -1*(-30)/(-96)*4? -5/4 What is the value of (4/(-80)*2)/(1/(-5))? 1/2 Calculate -5*3/(-30)*90/(-9). -5 ((-4)/(-12))/(1/3) 1 What is 24/(-15)*(-2)/8? 2/5 Calculate (66/11)/(-18)*(-3)/5. 1/5 6/((-12)/(-1))*1*6 3 Evaluate ((6/(-4))/1)/((-2514)/6704). 4 What is the value of ((-8)/6)/((-2)/3)? 2 What is the value of (140/28*(-2)/(-10))/7? 1/7 What is 15*5*1/(-15)? -5 Calculate ((-2)/(-6))/(1/3)*0. 0 What is the value of 2*4*(-11)/1144? -1/13 Calculate 0/((-4)/(-6)*-3). 0 Evaluate (-28)/(-35)*15/42. 2/7 What is (81/(-8))/9*32/(-24)? 3/2 What is the value of ((-4)/(-3))/(-7*12/(-18))? 2/7 Evaluate 1/(-2)*(-68)/(-238). -1/7 Calculate ((-7)/14)/(6/(-60)). 5 Evaluate (28/42*(-6)/40)/(-1). 1/10 Calculate ((-7)/(364/(-16)))/((-48)/24). -2/13 What is (1/2)/(4/(-24))? -3 (-18)/225*(-5)/(-6)*3 -1/5 Evaluate (6/8)/(1242/(-368)). -2/9 1*4/(-1)*(-16)/(-224) -2/7 ((15/5)/3)/(14/(-4)) -2/7 What is the value of (4/(-10))/((9/15)/3)? -2 What is the value of (2/11)/(8/110)? 5/2 Evaluate ((-10)/6)/((5/(-3))/5). 5 What is (441/(-245))/(9/30)? -6 Calculate (16/80)/((-1)/((-10)/3)). 2/3 What is the value of ((-2)/6*1)/((-14)/(-42))? -1 What is (22/(-330)*10)/((-4)/(-15))? -5/2 What is the value of (360/54)/(-5)*9/12? -1 Evaluate ((36/(-32))/(-3))/1. 3/8 (1/7)/((-7)/(-28)*2) 2/7 What is the value of -4*4/(-16)*0? 0 What is -12*((-8)/12)/2? 4 Calculate (-6)/(-5)*52/(-104). -3/5 (-5)/(-5)*(33/(-11))/9 -1/3 Calculate (-1)/(-3)*144/(-24). -2 Calculate (3/4)/(-3)*-4. 1 Calculate 0/((-9)/3*3/9). 0 Calculate (-3*(-4)/(-24))/((-2)/8). 2 (-115)/(-46)*(-8)/(-5) 4 Calculate (-10)/(-8)*(-3)/5. -3/4 1*(-6)/9*(-30)/140 1/7 Evaluate 3*(2/(-10))/((-16)/10). 3/8 (3/12)/((-8)/(-160)) 5 What is (42/((-14)/(-2)))/1? 6 Calculate -3*1/3*-3. 3 What is the value of ((-3)/(-9))/((-4)/24)? -2 80/(-8)*8/10 -8 ((-18)/(-3))/((-3)/(-3)*-8) -3/4 ((-24)/84)/(1/(7/4)) -1/2 Calculate (-19)/((-152)/(-96))*(-1)/(-2). -6 (-3)/6*(-4)/7 2/7 What is the value of (-4*(-9)/(-36))/3? -1/3 What is (4/10)/(2/(-20))? -4 -2*2/(-2)*24/(-16) -3 What is the value of ((-3)/((-3)/10))/(134/(-67))? -5 What is (1*-1)/((60/10)/54)? -9 Calculate 1*(4/(-2))/((-18)/(-72)). -8 ((-18)/(-30))/(2/(-20)*1) -6 Evaluate 214/(-3531)*3/(-1). 2/11 Calculate (2/((-4)/(-1)))/((-3)/6). -1 What is ((-90)/75)/((-42)/(-15))? -3/7 Calculate (-6)/15*255/136. -3/4 Calculate 2/(-4)*(-26)/(-39). -1/3 Calculate (-8)/5*(-370)/(-148). -4 What is ((-3)/3)/((-12)/(-12))? -1 What is ((-2)/18)/((-12)/(-24))? -2/9 360/(-150)*(-4)/24 2/5 ((-4)/(-6))/(14/((-56)/(-20))) 2/15 (((-15)/10)/3)/(13/260) -10 Evaluate (-14)/(-91)*78/12. 1 (-12)/9*18/84*3 -6/7 Evaluate 12/3*(-2)/(-8). 1 Calculate (-4)/4*26/(-91). 2/7 What is ((-12)/16)/((-81)/24)? 2/9 What is ((-48)/(-6))/56*-1? -1/7 Evaluate (-30)/4*(-16)/24. 5 (3/7)/(1/(-1)) -3/7 Evaluate 8/(-25)*20/8. -4/5 What is the value of (-25)/70*8/(-10)? 2/7 Evaluate ((-64)/96)/(5/(-6)). 4/5 What is the value of ((-2)/(-4))/((-38)/(-19))? 1/4 Evaluate (((-30)/(-6))/50)/(2/16). 4/5 What is -3*((-15)/18)/((-1)/(-2))? 5 What is the value of (-18)/15*11/(-99)*15? 2 Calculate 3/(((-315)/10)/(-21)). 2 What is the value of 12/(-18)*9/(-6)? 1 (64/(-112))/(18/(-21)*1) 2/3 What is the value of (-9)/((-45)/25)*(-18)/(-15)? 6 What is the value of ((-6)/16)/((21/2)/7)? -1/4 Calculate (56/(-63)*3)/((-8)/6). 2 (-4)/3*75/40 -5/2 What is the value of 20/(-200)*4/8*12? -3/5 3*2/(-6)*1 -1 Evaluate (-126)/(-12)*(24/(-210))/(-4). 3/10 What is the value of 144/(-180)*(-10)/92? 2/23 (-6)/2*185/111 -5 Evaluate ((-35)/70)/(2*(-1)/20). 5 Calculate (-21)/(-28)*(-5)/15. -1/4 What is (-9)/(-45)*(-15)/(-12)? 1/4 What is 3/18*(-33)/(-22)? 1/4 What is the value of (11/(-330)*-10)/(-3)? -1/9 ((-12)/153)/((-2)/3*1) 2/17 Evaluate 7/((-28)/8)*(-65)/(-52). -5/2 Calculate -9*2*(-1)/48. 3/8 What is the value of (4/24*-3)/(2/12)? -3 What is (-4)/132*2*3? -2/11 Evaluate (-189)/42*-4*(-2)/12. -3 Calculate (-1)/(10/40)*5/(-4). 5 What is 15*(-1)/(-4)*11/110? 3/8 (3*-1)/(1*(-4)/(-4)) -3 What is the value of 4/21*(-21)/14? -2/7 What is (69/92)/((-84)/(-32))? 2/7 Calculate (113/(-452))/(2/((-16)/(-11))). -2/11 Calculate ((-3)/(6/(-8)))/(2/(-1)). -2 (7/3)/(-1)*(-18)/63 2/3 Evaluate -2*(-3)/24*-4. -1 Calculate ((-20)/(-2))/(10/4). 4 What is the value of (-3*(-2)/12)/(1/(-12))? -6 (-24)/(-6)*-2*2/(-12) 4/3 What is the value of ((-16)/(-60))/((-14)/21)? -2/5 Calculate 6/8*3/(-6). -3/8 (54/24)/(135/30) 1/2 What is (8/(-84))/((-7)/(-49))? -2/3 (-248)/(-217)*(-14)/(-20) 4/5 Evaluate (5/((-5)/(-4)))/(6/(-2)). -4/3 What is (-33)/22*(-15)/(-9)? -5/2 What is (-1)/10*(-14)/(56/30)? 3/4 Evaluate (10/15)/((-10)/15*-2). 1/2 What is the value of ((-9)/9)/((-3)/(-18)*2)? -3 What is ((-16)/(-4))/(-4)*144/24? -6 ((-1)/(-12))/(12/108) 3/4 What is the value of (-21)/(-6)*12/14? 3 What is 4/10*50/(-120)*-3? 1/2 Calculate (-2)/8*6/10*-4. 3/5 Evaluate (-5*(-8)/(-600))/(2/(-6)). 1/5 What is the value of 1/((9/3)/(-6))? -2 Calculate (90/12)/(5/4). 6 Evaluate (8/14)/(8/(-280)*-50). 2/5 Evaluate (-10)/22*1*6/15. -2/11 (0/(-7))/(14/7) 0 1*(-5)/2*(-10)/5 5 What is ((-132)/(-55))/((-12)/15)? -3 What is (((-12)/(-10))/6)/1? 1/5 ((4/(-6))/1)/((-360)/(-1620)) -3 What is the value of 69/(-23)*-1*(-1)/3? -1 What is 1/7*21/(-18)? -1/6 ((-1)/(-6))/(46/(-69)) -1/4 Calculate ((-10)/16*2)/(-5). 1/4 Evaluate (5*2/(-6))/((-15)/45). 5 What is the value of ((-45)/(-9))/((-3)/(9/3))? -5 What is (((-4)/(-12))/(4/3))/(-1)? -1/4 Calculate (8/(-3))/((-12)/18). 4 What is the value of (4/8)/((-22)/44)? -1 Calculate (-15)/(-10)*(-16)/6. -4 Calculate 23/(-46)*(-4)/(-10). -1/5 Calculate ((-176)/(-605))/(-4)*(-10)/4. 2/11 What is the value of (-3)/((-2)/(4/3))? 2 Evaluate (-4)/(-6)*6*(-2)/4. -2 What is ((-6)/(-10))/((-29)/(-290))? 6 Calculate (-1)/4*2*12/(-2). 3 What is ((-15*8)/12)/2? -5 What is (3/4)/(-5*8/32)? -3/5 1/(2/2)*(-111)/222 -1/2 What is the value of 44/8*2/(-22)? -1/2 Evaluate -1*4*1/8*4. -2 Calculate 1*-9*(-9)/(-27). -3 What is 36/(-28)*40/(-180)? 2/7 What is the value of (0/(-4))/(-2)*(-4)/8? 0 What is the value of (-8)/(-6)*-6*(-8)/96? 2/3 What is 5*((-6)/9)/((-12)/(-18))? -5 What is (-3)/2*28/(-42)*-1? -1 What is ((-1)/1)/(1/1)? -1 Calculate ((-252)/(-882))/(2/(28/6)). 2/3 Calculate ((-7)/(-147)*-7)/((-5)/(-35)). -7/3 What is 3/((-12)/(-4))*(-5)/1? -5 20/(-100)*-5*2/8 1/4 What is 2/(4*1)*(-118)/59? -1 Evaluate (-34)/51*(-6)/16. 1/4 Calculate 2*(-5)/140*-2. 1/7 What is the value of 44/33*33/22? 2 What is the value of (-3)/(-4)*(-8)/(-12)*-6? -3 What is (-3*(-4)/15)/(8/20)? 2 What is the value of (-5)/50*5/((-20)/24)? 3/5 What is the value of 7/63*15*(-132)/(-20)? 11 What is the value of (((-240)/(-25))/(-3))/(28/(-70))? 8 ((-80)/25)/((-58)/145) 8 Evaluate 6*11/(-2178)*3*2. -2/11 What is the value of (1/(100/8))/((-14)/(-35))? 1/5 What is (-5)/(-2)*(-952)/340? -7 What is (-16)/80*5*3/6? -1/2 What is (3/(-2))/((-3)/(-6))? -3 What is the value of (((-234)/24)/(-13))/(4/8)? 3/2 (12/14)/((-246)/(-82)) 2/7 What is the value of (-1)/((-9)/(-2))*105/35? -2/3 What is the value of (-88)/165*12/8? -4/5 Calculate (-1)/((-4)/(-6))*4. -6 Calculate (-1)/(4/(8/(-6))). 1/3 Evaluate 4/(-6)*5/((-10)/9). 3 What is (6/162)/(6/(-72)*-2)? 2/9 What is -1*(-5)/15*3? 1 Evaluate 5/3*(-24)/360. -1/9 ((-27)/6)/(-3)*16/6 4 Evaluate (32/56)/(12/14). 2/3 Calculate (2/(-3))/((8/2)/24). -4 Evaluate (-6)/(-4)*((-90)/(-81))/(-10). -1/6 What is ((-8)/(-24))/(10/(-6))? -1/5 Calculate ((-3)/(-3))/((36/(-6))/(-12)). 2 1/(-2)*8/4*0 0 -2*(-4)/(-120)*(-9)/(-3) -1/5 What is the value of (-55)/(-88)*(-4)/(-10)? 1/4 Evaluate (28/(-56))/(2/4)*1. -1 What is (12/6)/(10/40)? 8 (-12)/6*(-6)/4 3 Evaluat
{ "pile_set_name": "DM Mathematics" }
= 2*v**3 + 2*v**2 + 5*v - 7. Let d(u) = -4*f(u) - t(u). What is the units digit of d(-8)? 7 Let r(f) = -2630*f - 1365. What is the units digit of r(-9)? 5 Suppose 0 = 5*d - f - 170, -d + 2*f + 25 = -0*f. Suppose 3*i = -7*i + 590. Let a = i + d. What is the tens digit of a? 9 Let m(h) = -127*h - 36. Let z(g) = -254*g - 71. Let x(f) = 11*m(f) - 6*z(f). What is the units digit of x(4)? 8 Let y be 6/5*((-2)/4 + 3). Suppose 2802 = y*z + 3*z. What is the hundreds digit of z? 4 Let t(n) = -n**3 + 3*n**2 + 5*n - 4. Let b be t(3). Suppose 3*m + b = 2, 2*o = -3*m + 109. Suppose -104*h + o = -103*h. What is the units digit of h? 9 Let o = -11 + 17. Suppose 1256 = 10*u - o*u. What is the units digit of u? 4 Suppose 0*d + 2724 = 3*d. Let s = 1313 - d. What is the units digit of s? 5 Let y be 1497 - (3 - 1)/(-2). Let x(f) = f**3 + 41*f**2 - 91*f - 203. Let a be x(-43). Suppose a*k - 5*k = y. What is the units digit of k? 4 Suppose 2*v + 2*v - 3*k - 25 = 0, 0 = 5*v + 5*k - 75. Suppose 0 = -8*p + v*p - 226. What is the units digit of p? 3 Let t(k) = 10361*k - 1992. What is the tens digit of t(3)? 9 Let f(r) = -192*r - 20. Let v be f(-5). Suppose 4*d - 288 = v. What is the tens digit of d? 0 What is the thousands digit of (((-16)/24)/(-2))/((-1)/(-9687) + 0)? 3 Suppose 46*u - 43*u = -f + 8011, 3*u + 4*f - 7996 = 0. What is the tens digit of u? 7 Let d = 132 - 133. Let y(h) = 219*h**2 + h + 1. What is the tens digit of y(d)? 1 Let a = 713 - 757. What is the units digit of (132/a)/(938/(-468) + 2)? 2 Suppose -82307 - 63619 = -3*r + 34647. What is the hundreds digit of r? 1 Let m(c) = -14*c - 73 + 83 + 38*c**2 - 9*c**2 - c. What is the hundreds digit of m(-4)? 5 Let l(k) = 202*k**2 - 27*k - 137. What is the thousands digit of l(-5)? 5 Suppose -68*i + 65*i + 121370 = -18196. What is the thousands digit of i? 6 Let k = 307 - -60. Suppose 0 = -3*v - 642. Let d = k + v. What is the units digit of d? 3 What is the thousands digit of (-973*(-28)/(-35))/((-24)/1140)? 6 Let o = 207 - 220. Let y = 136 + o. What is the units digit of y? 3 What is the tens digit of (-22 + 20)*(-61725)/10? 4 Let y(s) = -2*s + 156*s**2 + 0 + 5*s - 142*s**2 - 9. Let o be y(5). Suppose -2*l + o = 2*v - 5*v, -4*v - 890 = -5*l. What is the units digit of l? 8 Suppose -4*a - 8 = 0, 0 = -p + 2*p + a - 21. Let t(y) = 7*y - 52. Let n be t(p). Suppose -7*w - n = -8*w. What is the tens digit of w? 0 Let t(b) = -b**3 + 14*b**2 + 6*b + 159. What is the tens digit of t(15)? 2 Suppose -18*z = -22*z + 19144. What is the units digit of z? 6 Let c = 40640 + -20913. What is the tens digit of c? 2 Let l(m) = -71*m - 3. Suppose 4*c + 0*z + 3*z = -5, -2*c - 2*z - 2 = 0. Let a be l(c). Suppose s - 5*r = -s + 87, 3*s - a = -r. What is the units digit of s? 6 Suppose 71*g = 61*g - 230. Let r = 475 + g. What is the hundreds digit of r? 4 Let v = 67560 - 39997. What is the tens digit of v? 6 Let i be (4*1)/((-4)/8). Let p = 8 + i. What is the tens digit of -3 - (-16 - p)*1? 1 Let w(y) = 73*y + 1. Let m be w(7). Let s = m + 37. What is the tens digit of s? 4 Suppose 62 = -5*d + 87. Let r(p) = 4*p**3 + 7*p**2 - p + 15. What is the tens digit of r(d)? 8 Let t(v) = -v**3 - 5*v**2 + 5*v + 29. Suppose 5*q - j - 2*j = -22, -4*j - 9 = q. Let z be t(q). Suppose -z*x + 10*x = 1506. What is the units digit of x? 1 Let h be ((-6)/(-5))/((-3)/(-10)). Let j(o) = -9 + 6*o + h*o + 4*o**2 + 11. What is the tens digit of j(-6)? 8 Suppose 31*x = 30*x, -2*x = 2*g - 86266. What is the hundreds digit of g? 1 Let p(w) = -w**3 - 8*w**2 + 9*w + 1 + 5 - 2 + 2. Let u be p(-9). What is the tens digit of u/3 + 67 + 1? 7 Let y(m) = -m**3 - 19*m**2 + 60*m + 23. Let g be y(-22). Let p = g - -273. What is the hundreds digit of p? 4 Suppose -2*h + 5*l = -33, -3*l = -6*h + h + 92. Suppose -3*z + 88 = -2*n + h, 0 = -2*n. Suppose -3*k + 140 = z. What is the tens digit of k? 3 Let v be (-1)/(-2) + (-8)/(-16). Suppose -2 = -i + v. Let u(b) = b**3 + 2*b**2 - 8*b + 5. What is the tens digit of u(i)? 2 Let a(g) = g**2 + 2*g + 186. Let d be 1480/(-50) + 4/(-10). Let t = d - -30. What is the tens digit of a(t)? 8 Let a be (-3 + 0)/((-84)/(-112)). Let o(t) = -17*t**3 - 11*t - 31. What is the hundreds digit of o(a)? 1 Suppose -4*m = -5*m + 17. Let p(a) = 12 + m - 6*a + 23 + 0. What is the units digit of p(0)? 2 Suppose -3*j - 104 = 2*g, 4*j + g = -48 - 89. Let s = j - -36. Suppose b - 240 = -s*m, 462 = 3*m + b + 104. What is the units digit of m? 8 Let r = -1476 - -2433. Suppose 205*c + r = 206*c. What is the units digit of c? 7 Let o be 1/((-79)/20 - -4). Let w be 0 + 5 - 60/o. Suppose -r + 2*r - w*l = 62, -r = 3*l - 62. What is the units digit of r? 2 What is the ten thousands digit of (-159531)/(-8) + (-1695)/(-2712)? 1 Let s(f) = f**3 + 5*f**2 - 16*f - 6. Let l be s(-7). Suppose -5*a + l*a + 5*q - 1423 = 0, 5*a + 2*q = 2340. What is the hundreds digit of a? 4 Let f(m) = 167*m. Let p(x) = 166*x. Let k(l) = 5*f(l) - 4*p(l). Suppose 3*j - 8 = -2*v, 5*v - 2*v - 2*j + 1 = 0. What is the units digit of k(v)? 1 Let g = -239 + 239. Suppose j = 3*p - 33, p - 11 = 4*j - g. What is the units digit of p? 1 Let k be ((-2 - -2)/(-5))/(3 + -6). Suppose k = 15*g - 1637 - 3733. What is the tens digit of g? 5 Let f be (-1 + 15/(-3))/(-2). Suppose -546 = -f*k + 4*h, 0*h + 2*h = 0. What is the hundreds digit of k? 1 Let q(z) = z**2 - 4*z + 13. Let y(h) = 9 + 4*h + 3*h - 3 + 6*h**2 + h**3. Let j be y(-4). What is the tens digit of q(j)? 7 Let q(f) = 2*f**2 + 17*f + 24. Let w(h) = -3*h + 29. Let v be w(14). Let l be q(v). What is the units digit of (-1 + l)/(1 - 0)? 0 Let t(m) be the third derivative of -89*m**4/12 - 35*m**3/2 + 270*m**2. What is the tens digit of t(-6)? 6 Suppose 3*k - 3*b = 18017 - 653, 0 = -5*b + 20. What is the units digit of k? 2 Let d = -334 + 339. Suppose d*u - 3*b = -699 + 3557, -2*u + 1140 = -2*b. What is the hundreds digit of u? 5 Let h(y) = 1095*y**2 - 23*y - 6. What is the hundreds digit of h(-2)? 4 Suppose 122*w = 55*w + 2246108. What is the hundreds digit of w? 5 What is the tens digit of ((-8)/(-24))/(8/(7 + 770561))? 0 Let g(s) be the third derivative of -97*s**6/60 - s**5/30 + s**3/6 + 24*s**2 - 5*s. Let p(k) = k - 7. Let z be p(6). What is the hundreds digit of g(z)? 1 Let p be (1304/(-12))/(3 + (-55)/15). Let w = 190 - p. What is the tens digit of w? 2 Suppose -3*s - 358 = 3*a + 467, 0 = -s + 5*a - 281. Let o = s - -308. What is the units digit of o? 2 Suppose -10*n + 20 + 80 = 0. What is the units digit of (n/4)/((-43)/(-15222))? 5 Let y be (2613 - 1/(-1)) + -3. Let f = y - 1129. What is the tens digit of f? 8 Let p = 7304 - 754. What is the thousands digit of p? 6 Let p = 5487 - -3343. What is the thousands digit of p? 8 What is the tens digit of 17192/(-12)*264/(-308)? 2 Let v = -131 - -134. Suppose -414 = -s - v*q + 139, -2*s + 1094 = 2*q. What is the tens digit of s? 4 Let s = 169 + -171. What is the units digit of 1*((-3)/s)/(6/1184)? 6 What is the hundreds digit of (-100244)/(-14) - (-14)/(-49)? 1 Suppose -1173 = -3*k + 6378. What is the tens digit of k? 1 Let p(y) be the first derivative of 8*y**3/3 + 2*y**2 + y - 1. Suppose 6550*b - 55 = 6539*b. What is the tens digit of p(b)? 2 Let l(g) = -g**3 - 52*g**2 - 183*g - 3285. What is the ten thousands digit of l(-60)? 3 Let g = 22113 + -7536. What is the tens digit of g? 7 Let n(j) = j**2 + 11*j - 66. Let a be n(-16). Suppose -2*s = -5*k + 989, -a*s - 202 = -k - 15*s. What is the units digit of k? 9 Let w = -662 - -782. Suppose 114*b = w*b - 5826. What is the hundreds digit of b? 9 Let z(h) = -h**2 - 9*h. Let k(u) = -u - 1. Let n(i) = 5*k(i) - z(i). Let t be n(-4). What is the units digit of -5*((-20)/t - 14)? 0 Suppose -2861 = 9*z - 10*z + 20992. What is the units digit of z? 3 Suppose -3*u + 2*q = -899, -4*q - 919 + 317 = -2*u. What is the hundreds digit of u? 2 What is the hundreds digit of (-44904)/(-9) - (-124)/186? 9 Suppose 5*t + 69725 = 5*w, 2*w - 122*t - 27854 = -129*t. What is the ten thousands digit of w? 1 Let i = 246 - -5704. What is the tens digit of i? 5 Let k(c) be the second derivative of -c**3 - c**2 + c. Let r be k(-1). Suppose -2*i - 7 = m - 41, 0 = -r*i - 3*m + 70. What is the units digit of i? 6 Let s = -18331 - -36444. What is the units digit of s? 3 Let s(o) be
{ "pile_set_name": "DM Mathematics" }
t value? (a) -0.1 (b) -563 (c) -0.2 (d) -5 b Which is the smallest value? (a) 2/9 (b) -5.68 (c) -5/7 (d) 0 (e) -2 (f) 1/2 b What is the biggest value in 3010, 4, -5, -1/6? 3010 What is the third biggest value in 1/5, -4/9, -2, -1150, -5, 8? -4/9 Which is the sixth biggest value? (a) 3 (b) 2/4005 (c) 5/2 (d) 0.4 (e) 0.5 (f) -3 f Which is the smallest value? (a) -0.11 (b) 1 (c) 11955 (d) -0.5 d Which is the third biggest value? (a) 3/14344 (b) 0.4 (c) 0.3 (d) -14 a What is the fourth biggest value in 3.3, -5, -2, -267? -267 Which is the fifth smallest value? (a) -3 (b) -4.7 (c) 0.3 (d) 3/5 (e) 13 e What is the smallest value in -0.2, -4, -5, -285, 0? -285 What is the smallest value in -0.1, -66, -4/29? -66 Which is the fifth smallest value? (a) -0.4 (b) -3/4 (c) 0.4 (d) 6 (e) 26 e Which is the second smallest value? (a) -2 (b) -0.4 (c) -1967 (d) -1/4 a Which is the second biggest value? (a) 3 (b) -0.3 (c) 5 (d) 0.4 (e) 108/4241 a What is the second smallest value in -0.5, -131, 2/5? -0.5 Which is the biggest value? (a) -5828 (b) -13 (c) -4 c Which is the second smallest value? (a) 4/673 (b) -45 (c) -18 c Which is the third biggest value? (a) -50.2 (b) -4 (c) -3 a Which is the third smallest value? (a) -3/5 (b) 34.6 (c) -4 (d) -72 a What is the fourth biggest value in -4, 14, 3, -1/4, -1? -1 Which is the second biggest value? (a) -1/107 (b) -2 (c) -3838 b Which is the fifth smallest value? (a) -2 (b) 13 (c) 8 (d) -1 (e) 151 e What is the second smallest value in 101, 0.1, 2/11, 10? 2/11 Which is the fifth biggest value? (a) 14 (b) -1/5 (c) 162.6 (d) 3 (e) -0.4 e What is the fourth biggest value in 0.3, 8, 3/133, 2/33? 3/133 Which is the second smallest value? (a) -438 (b) 5/6 (c) 3 (d) 67/32 b Which is the sixth biggest value? (a) -2 (b) 1/6 (c) 0.1 (d) 4 (e) 5 (f) -5 f What is the second biggest value in -0.4, -0.2, 4, 1/6, -5, 3/4? 3/4 Which is the biggest value? (a) 11 (b) 185.99 (c) 0 b What is the second smallest value in -2.9, 16, 32, 0.4? 0.4 Which is the fourth smallest value? (a) 0.2 (b) 2 (c) -0.6 (d) 11 (e) -2 (f) 1 f What is the third biggest value in -17, -5, -104, 0? -17 Which is the second smallest value? (a) -8 (b) 92/3 (c) 40 (d) -2/5 (e) -3 e Which is the smallest value? (a) 2/7 (b) -0.5 (c) 0.3 (d) 891 b What is the second biggest value in -0.2, -0.18718, -1/2, 1? -0.18718 What is the third biggest value in 14, 8, -2/23, -0.08, -268? -0.08 What is the third smallest value in 0.8, -4, 694? 694 What is the third smallest value in -28, -2/51, 1/3, -0.001, 3? -0.001 Which is the third smallest value? (a) 3 (b) 0.5 (c) -1/18 (d) -5 b Which is the smallest value? (a) -1/2 (b) -17429 (c) -2 b What is the fourth smallest value in -4, -7, 119, 391? 391 What is the second biggest value in -3/10, 1/9, 142, -3, 1/7? 1/7 Which is the third smallest value? (a) -5 (b) -0.12 (c) -65.881 b Which is the fourth smallest value? (a) 2/5 (b) -52 (c) -3 (d) -0.5 (e) 0 (f) -0.1 f What is the second biggest value in -0.5, -0.3, -1/4, -2/15, 20? -2/15 Which is the third smallest value? (a) 2/5 (b) -1.3 (c) 3 (d) 0.17 (e) 1/5 e What is the smallest value in -2/5, -0.5, 62, -5, 2/23? -5 Which is the fifth smallest value? (a) 1 (b) -25 (c) -2/7 (d) 3/8 (e) -9 a What is the third smallest value in 2, -0.03, 25, -1026? 2 Which is the second smallest value? (a) 0.6 (b) 442/9 (c) 21 c Which is the third biggest value? (a) 0.1 (b) -3 (c) 0.4 (d) -4 (e) 2 (f) -0.09 a What is the fourth smallest value in 2/9, 1/6, -95, -0.3, 39? 2/9 What is the biggest value in -5, 0, 1/6, 184/3, 4? 184/3 What is the second biggest value in 21/5, 2/5, 2, -0.1, 7, 0.5? 21/5 What is the second smallest value in -1/4, 4, 2, 6, -113? -1/4 What is the fifth smallest value in 1/6, -5, 0.4, -0.5, -0.4, -7? 1/6 What is the smallest value in -15, 10, 526? -15 What is the sixth biggest value in -2/11, 4, -2/5, -1/128, -28/5, 0.09? -28/5 Which is the biggest value? (a) -5 (b) 6/11 (c) -0.3 (d) 1 (e) -187 d What is the smallest value in 2, -1, 0, -5532? -5532 What is the third biggest value in 915, 0.3, 5, -4, 0, 0.5? 0.5 Which is the fourth biggest value? (a) -3 (b) 14.4 (c) -181 (d) 1/2 (e) 2/9 a What is the biggest value in -319, -0.2, -84.9? -0.2 Which is the smallest value? (a) -8 (b) 288 (c) 2 (d) 3 (e) 0.11 a Which is the biggest value? (a) 1/60 (b) -0.6 (c) 15 c What is the sixth biggest value in -1/4, 0, -4, -5, -4/7, -0.077172? -5 What is the third smallest value in -285, 0.5, -79? 0.5 What is the third smallest value in 2/11, -5/4, 0, -9/10, 2/13, 0.3? 0 What is the third smallest value in -1569, 3, -0.1, -0.3, -0.2? -0.2 What is the third biggest value in -891.1, -4, -0.054? -891.1 What is the biggest value in -279, -1/2, 2555? 2555 Which is the third smallest value? (a) -5 (b) 131/2 (c) -1 (d) -0.4 (e) 2/7 d Which is the fourth biggest value? (a) 2663/10 (b) 0.5 (c) -1/2 (d) 1/12 c What is the third biggest value in -0.7, 204, -3/13? -0.7 Which is the biggest value? (a) 1/4 (b) 53/11 (c) -1 b What is the third smallest value in 5, -4/941, -13? 5 What is the third smallest value in -1, -0.2, -0.6, 9, 1, -0.305? -0.305 Which is the biggest value? (a) -3 (b) -449/5 (c) 3 (d) 0.3 c What is the sixth smallest value in -2/89, -0.3, 2, 0, 4, 303? 303 Which is the smallest value? (a) 26/17821 (b) 2/7 (c) 5 a Which is the fourth biggest value? (a) -0.1 (b) -749 (c) 0.23 (d) 0.1 (e) -7 e What is the third smallest value in 2/65, -1, 27.17? 27.17 What is the third smallest value in 32, -5, -2, 15256? 32 Which is the third biggest value? (a) -749 (b) 0.6 (c) 0.4 a What is the fifth smallest value in 0.3, -3, 1/3, 2/13, 10, -7/2? 1/3 Which is the smallest value? (a) 0.242 (b) 2 (c) 60 a What is the third smallest value in -5, -16, -354, 0.1? -5 What is the biggest value in -3/4, 3/14, -7823, 3/7? 3/7 Which is the biggest value? (a) -3 (b) -0.6 (c) 5 (d) -4/9 (e) 150 (f) -0.06 e Which is the sixth smallest value? (a) -49 (b) 0 (c) 3/4 (d) 1 (e) -0.1 (f) 10.6 f Which is the second smallest value? (a) -1/4 (b) -3/271 (c) 3 b Which is the sixth biggest value? (a) -11 (b) -27 (c) 1/3 (d) -7/3 (e) -5 (f) 1/8 b Which is the fourth biggest value? (a) 113 (b) 6 (c) -44 (d) -0.2 (e) 4 d Which is the third biggest value? (a) 8 (b) -9 (c) -3 (d) -2 (e) -0.3 d What is the second smallest value in -5, -2/23, 455, 4, 3, -163? -5 What is the third biggest value in 0.1, -9548, 1.2, -0.2? -0.2 Which is the second smallest value? (a) -0.4 (b) -571 (c) 1/4 (d) -5 d Which is the fourth biggest value? (a) -7 (b) -48/13 (c) -38 (d) -2/3 c What is the fifth smallest value in 0, 4, -1, -4, 1/3, -3/2? 1/3 What is the second biggest value in 0.1, -4, -26/9, -7, -0.236? -0.236 Which is the fourth smallest value? (a) 2 (b) 0.5 (c) 0.01 (d) -10.6 (e) 1/8 b Which is the third smallest value? (a) -1/5 (b) -1/8 (c) 6 (d) 2/7 (e) -2 (f) -20/23 a What is the fifth smallest value in 0.5, -2, 1/5, 166, 4? 166 Which is the fourth smallest value? (a) -3/5 (b) -2/7 (c) -2 (d) -0.8 (e) 2687 b Which is the third biggest value? (a) -1/4 (b) -2.583 (c) 4 b What is the fourth biggest value in -5, 3, 37, 2/17, -2/7? -2/7 Which is the second biggest value? (a) -5 (b) -2 (c) -0.01 (d) -3/5 (e) -648 (f) 0 c Which is the third smallest value? (a) -2 (b) -0.1 (c) -4 (d) 3/4 (e) 3 (f) -234 a What is the biggest value in 4, -0.3, -0.04, 5.1, 1? 5.1 Which is the third smallest value? (a) -1 (b) -2/5 (c) -39 (d) 594/7 (e) 4 b What is the second smallest value in -6, -23, -0.12? -6 Which is the second smallest value? (a) 2546 (b) 44 (c) 3 b What is the fourth smallest value in -2/11, 0.37, 0.7, -5, -4? 0.37 What is the fourth biggest value in 5, -17, -7/2, 0.5? -17 Which is the second biggest value? (a) 483 (b) 1/4 (c) 289 (d) -3/5 (e) -0.5 (f) 0.4 c Which is the second biggest value? (a) 2/7 (b) 3/5 (c) -2 (d) -3491 a What is the fourth smallest value in 47, -0.3, 23, -0.2? 47 Which is the third smallest value? (a) -0.083 (b) -37 (c) 4 (d) -0.11 a Which is the biggest value
{ "pile_set_name": "DM Mathematics" }
5, -1, -266 Put 3, -2, -33, -19, 5 in ascending order. -33, -19, -2, 3, 5 Put -1, -197, -4, 4, -2 in decreasing order. 4, -1, -2, -4, -197 Sort 2/73, 17, 64 in decreasing order. 64, 17, 2/73 Sort -4, 0, 15, 1367, 2, 1. -4, 0, 1, 2, 15, 1367 Put -0.29, 1299, 0.1, -5, 0.3 in increasing order. -5, -0.29, 0.1, 0.3, 1299 Sort 0.3, 1/2, 0.1, -74/133 in increasing order. -74/133, 0.1, 0.3, 1/2 Put -2, 41, -1655 in decreasing order. 41, -2, -1655 Sort 4, -2/7, 10, 1.36, -1/10. -2/7, -1/10, 1.36, 4, 10 Put 187, 65, -11 in increasing order. -11, 65, 187 Put 1, 15, 4, -15, -2 in increasing order. -15, -2, 1, 4, 15 Put -0.2, 0.3, 4, 1/581, 4/3 in decreasing order. 4, 4/3, 0.3, 1/581, -0.2 Sort 17, -11, -33, -2, -31. -33, -31, -11, -2, 17 Sort -85885, 10, 5 in increasing order. -85885, 5, 10 Put -5, 390, 1 in increasing order. -5, 1, 390 Put -2/3, 4, -5, -0.06, 4.8 in decreasing order. 4.8, 4, -0.06, -2/3, -5 Put -0.1, 12, -170.6 in descending order. 12, -0.1, -170.6 Put -576, -3, 0 in increasing order. -576, -3, 0 Sort 2449, 4, 2 in increasing order. 2, 4, 2449 Sort 7, 24, -5, -32, 3. -32, -5, 3, 7, 24 Sort 41098, 2, -5. -5, 2, 41098 Sort 1/7, 3/4, -2, 0.4, -7.7. -7.7, -2, 1/7, 0.4, 3/4 Put 2/15, -1534, 1, 3/8 in decreasing order. 1, 3/8, 2/15, -1534 Sort 19, -3, 4, 3, -2, -127 in decreasing order. 19, 4, 3, -2, -3, -127 Put -12, -1, -4, 0.1, 5/6, -7 in ascending order. -12, -7, -4, -1, 0.1, 5/6 Put 2, -29, -4, 1, 5 in increasing order. -29, -4, 1, 2, 5 Sort 4, 176, 13, 3, -2. -2, 3, 4, 13, 176 Put 1, -82, -3/2, 4 in decreasing order. 4, 1, -3/2, -82 Put -3, 0.6, -1/5, 0.36, -2, 1/9 in ascending order. -3, -2, -1/5, 1/9, 0.36, 0.6 Put 2344, -4, -11 in ascending order. -11, -4, 2344 Sort -1, 5, 46, -2, -11 in descending order. 46, 5, -1, -2, -11 Sort -4, 1, -218 in ascending order. -218, -4, 1 Put 1, 20, -1, 4, 9 in increasing order. -1, 1, 4, 9, 20 Sort 370, -0.4, -16 in ascending order. -16, -0.4, 370 Put 197, -177, 3 in descending order. 197, 3, -177 Sort 0.2, 0.017, -977. -977, 0.017, 0.2 Sort 1/2, -4/7, 2, -0.06, 2/15911 in descending order. 2, 1/2, 2/15911, -0.06, -4/7 Put 4, 11/7, 1, -0.14, 3/7, 0.4 in increasing order. -0.14, 0.4, 3/7, 1, 11/7, 4 Sort -111, 4/7, 1889, 5, 0.3, -4 in decreasing order. 1889, 5, 4/7, 0.3, -4, -111 Sort -5, -1, 4, -2, 2648, -8 in ascending order. -8, -5, -2, -1, 4, 2648 Sort 1/6, 5, 0.021, 1/7, 2 in descending order. 5, 2, 1/6, 1/7, 0.021 Sort 15, -2, 0, -3, 17, -5 in increasing order. -5, -3, -2, 0, 15, 17 Put -195, 5, -4, 4, 1 in ascending order. -195, -4, 1, 4, 5 Put -503, 3/8, -0.3, 2, -2 in ascending order. -503, -2, -0.3, 3/8, 2 Put -2/15, 21247, 5, -1 in decreasing order. 21247, 5, -2/15, -1 Put 3/2, -1295/2, -0.2, 4/7 in descending order. 3/2, 4/7, -0.2, -1295/2 Put 2, -2, 3, -6506 in decreasing order. 3, 2, -2, -6506 Sort -3, -23, 537, 3. -23, -3, 3, 537 Put -1, 3, 7/12, -7 in decreasing order. 3, 7/12, -1, -7 Sort -3, 0, -17, -4, -132 in decreasing order. 0, -3, -4, -17, -132 Sort 2, 4597, 3, -2 in descending order. 4597, 3, 2, -2 Put -13, 0.1, -131 in descending order. 0.1, -13, -131 Sort 3/2, 0, -67081, 2 in increasing order. -67081, 0, 3/2, 2 Put 11, 3, 31/5, 15 in ascending order. 3, 31/5, 11, 15 Sort 1, 7, -14, -5, 11, -4 in descending order. 11, 7, 1, -4, -5, -14 Sort 39, 217, -3, 3 in descending order. 217, 39, 3, -3 Put -4, 1, -14, -10, -92 in ascending order. -92, -14, -10, -4, 1 Sort -564, -5, 15, -2. -564, -5, -2, 15 Sort -0.3, -17, 58 in decreasing order. 58, -0.3, -17 Sort 3, -9, 1, 0, -1, 934 in descending order. 934, 3, 1, 0, -1, -9 Sort 3, -0.104, 2/7, -4, -7 in increasing order. -7, -4, -0.104, 2/7, 3 Put -41, 4, -311 in ascending order. -311, -41, 4 Put 0.048, -0.012, 23 in descending order. 23, 0.048, -0.012 Sort 2, -8, -4, -1, -393 in decreasing order. 2, -1, -4, -8, -393 Sort 3, -23529, 9 in decreasing order. 9, 3, -23529 Put 785, -141, -6 in descending order. 785, -6, -141 Sort 285, 4, 6, 11, 2 in descending order. 285, 11, 6, 4, 2 Put 5, -4, 3, 2/4333, 4/21, 0 in ascending order. -4, 0, 2/4333, 4/21, 3, 5 Put -5, -6/7, -0.3, 340 in ascending order. -5, -6/7, -0.3, 340 Sort -9, -6, -7, 6, 5 in decreasing order. 6, 5, -6, -7, -9 Sort -5, 0, -117, -3, -1, -6. -117, -6, -5, -3, -1, 0 Sort 132, 20, 3, -3 in descending order. 132, 20, 3, -3 Put -2/27, -2/25, -2793, 2, -4/3 in ascending order. -2793, -4/3, -2/25, -2/27, 2 Sort 4, 10, -11 in increasing order. -11, 4, 10 Put -4.1, -1/4, -1/23718 in descending order. -1/23718, -1/4, -4.1 Sort 22, 1, -8, -3, 24. -8, -3, 1, 22, 24 Sort 9648, 2, 1, -2, 5 in decreasing order. 9648, 5, 2, 1, -2 Put 5, -7, -2, 32, -4 in increasing order. -7, -4, -2, 5, 32 Sort 7, 392, 4, -3/5, 0.69 in ascending order. -3/5, 0.69, 4, 7, 392 Put -34165, -4, 35 in descending order. 35, -4, -34165 Sort -3, -21, -1, 42 in descending order. 42, -1, -3, -21 Sort 0.2, -16.8, -1 in increasing order. -16.8, -1, 0.2 Sort 1, -48, -190, 9 in ascending order. -190, -48, 1, 9 Put 4, 7, 0, 309, -3 in increasing order. -3, 0, 4, 7, 309 Put 5, -1602, 3, -5, 0 in increasing order. -1602, -5, 0, 3, 5 Put -0.2, -5331, 152 in descending order. 152, -0.2, -5331 Sort -4, 15.53352, -1/5 in increasing order. -4, -1/5, 15.53352 Put -7, 5, -3, 1, -35 in descending order. 5, 1, -3, -7, -35 Sort 2/3, 1/3, -5, 2/105, 5/6, 0.4 in decreasing order. 5/6, 2/3, 0.4, 1/3, 2/105, -5 Sort -163, -3, -9, -18. -163, -18, -9, -3 Sort 1, -1167, -146, -1 in decreasing order. 1, -1, -146, -1167 Sort -95, -6, -11 in increasing order. -95, -11, -6 Put -211, 4, -2, -0.1 in descending order. 4, -0.1, -2, -211 Sort 5, -28, -5, 2056, -1 in decreasing order. 2056, 5, -1, -5, -28 Sort -25, 5, -1, 1, -1999. -1999, -25, -1, 1, 5 Sort -0.02, 7, 89/7, -6. -6, -0.02, 7, 89/7 Sort 2/9, -13/42, 0.3, 2, 1/2. -13/42, 2/9, 0.3, 1/2, 2 Sort -1/9, -0.5, 35/9 in increasing order. -0.5, -1/9, 35/9 Sort 0.1248, 11, 5/3 in ascending order. 0.1248, 5/3, 11 Sort -0.1, 4, 2/7, -0.5, 13/19, -2 in ascending order. -2, -0.5, -0.1, 2/7, 13/19, 4 Sort 21, -2, 1, 2, -3 in decreasing order. 21, 2, 1, -2, -3 Sort -1/5, 163/11, -4. -4, -1/5, 163/11 Sort 2, 79, -1076. -1076, 2, 79 Sort 1048, -5.36, 2. -5.36, 2, 1048 Sort -15, 0, -1, -21 in ascending order. -21, -15, -1, 0 Put 14951, 0, -3, 2, -1 in decreasing order. 14951, 2, 0, -1, -3 Put -2, -5, 2, -1, -8 in ascending order. -8, -5, -2, -1, 2 Sort -1454, -1, 6 in increasing order. -1454, -1, 6 Sort -2, 1035, 1, 4 in descending order. 1035, 4, 1, -2 Sort -1/2, -2, 1, -9.08. -9.08, -2, -1/2, 1 Put 1642, -36, -0.05 in ascending order. -36, -0.05, 1642 Put 0, 1, -81, 5, 3 in increasing order. -81, 0, 1, 3, 5 Sort 18, -1, 1, -2, 6, -13 in decreasing order. 18, 6, 1, -1, -2, -13 Put -133/3, 1/11, 745 in ascending order. -133/3, 1/11, 745 Put 5, 2, 26346 in ascending order. 2, 5, 26346 Put 0.2, 1.2, -160 in descending order. 1.2, 0.2, -160 Sort -1, -25, 1, 3, 4, 0. -25, -1, 0, 1, 3, 4 Sort 104, 0.2, 15, -1/3, 4/5 in ascending order. -1/3, 0.2, 4/5, 15, 104 Put 2/3, 0.4, 1, 0.2, 6856, -3/8 in decreasing order. 6856, 1, 2/3, 0.4, 0.2, -3/8 Sort 19, -0.2, -0.025, -5, 5 in decreasing order. 19, 5, -0.025, -0.2, -5 Sort 0, -74, 36, 113 in decreasing order. 113, 36, 0, -74 Sort -4, -7/163, 2/27, -5, 3/7 in ascending order. -5, -4, -7/163, 2/27, 3/7 Sort -6252, 6, 2/5, -1/4, -4/3. -6252, -4/3, -1/4, 2/5, 6 Sort 2.7, -8/79, -1/9, 0.5. -1/9, -8/79, 0.5, 2.7 Put -1031, -5, 2 in increasing order. -1031, -5, 2 Put 1, 5, 10, 151, -28 in increasing order. -28, 1, 5, 10, 151 Sort -3/98, 1/2, -0.02 in decreasing order. 1/2, -0.02, -3/98 Sort 1, -4236/35, -3/4 in decreasing order. 1, -3/4, -4236/35 Sort 74, -722, 3, -2 in decreasing order. 74, 3, -2, -722 Sort -54113, 0, 2, 1 in descending order. 2, 1, 0, -54113 Put 5, 169, 1/5, -31, 1/7 in decreasing order. 169, 5, 1/5, 1/7, -31 Sort 10, -7, 3, 0, 767 in ascending order. -7, 0, 3, 10, 767 Sort 5/2, 9, 1/3, -22.5, -0.1. -22.5, -0.1, 1/3, 5/2, 9 Sort 0.2, 3.7, 0.08, -0.2 in descending order. 3.7, 0.2, 0.08, -0.2 Sort 0, 1.2, -3/4, -85. -85, -3/4, 0, 1.2 Sort -96, 5, 2, -21 in decreasing order. 5, 2, -21, -96 Put -4, 1105, 3, 4 in descending order. 1105, 4, 3, -4 Put 1/6, 0.04, -95, -2, 2/3, -1/6 in decreasing order. 2/3, 1/6, 0.04, -1/6, -2, -95 Put 4, 69, 1287, -4, 1
{ "pile_set_name": "DM Mathematics" }
-3, 3, -15775623? 3 Which is the third biggest value? (a) -3 (b) -5/2 (c) -7/122 (d) 1/2 (e) -5 (f) 5 (g) 3/5 d Which is the fifth biggest value? (a) 389 (b) 0.55 (c) -0.01 (d) -1 (e) -0.5 d Which is the third biggest value? (a) -3 (b) 0.02 (c) 77 (d) -4 (e) 0.5 (f) -781 b What is the third smallest value in -0.15, -1/3, -2053/28? -0.15 What is the biggest value in 4/7, -3, -0.23, 2/17, 48, -0.2? 48 Which is the biggest value? (a) -4 (b) -0.15 (c) 0.305067 c What is the sixth biggest value in 2/31, 2/5, 24, 0.42, 1/2, -8.2? -8.2 What is the second biggest value in -0.06, 0.2, -167, -0.32, -16? -0.06 What is the third smallest value in 8744/9, 25/8, -4? 8744/9 Which is the third smallest value? (a) 0 (b) -2/13 (c) -1/2 (d) -84 (e) 0.1 (f) 91.4 b Which is the third smallest value? (a) 0.02 (b) -0.4 (c) 0.1 (d) 0 (e) 3/2 (f) -111.94 (g) 4 d Which is the fourth smallest value? (a) 3064 (b) 3 (c) -4/13 (d) 7/5 a Which is the fourth smallest value? (a) -0.06 (b) 2/5 (c) -13 (d) -528/7 (e) -2.7 (f) 1 a What is the third biggest value in 0, -19819, -0.4, 0.09, -0.2, 20? 0 Which is the fifth smallest value? (a) 38 (b) 1/8 (c) -2/3 (d) -5 (e) -4 (f) 40 (g) -1/5 b What is the fifth smallest value in -0.1, 0.0923, -3/7, 2/35, -1/26, 6? 0.0923 Which is the third smallest value? (a) 2/963 (b) -1/4 (c) 3 (d) -8 (e) -0.1 (f) 7 (g) -6 b What is the second biggest value in 0.04, -4, 3, 28.9, 4/595? 3 Which is the fourth smallest value? (a) 0.4 (b) 1/4 (c) -0.2 (d) 25 (e) 2051/8 d What is the third smallest value in 0.04, 187, -2630/17, 0? 0.04 What is the sixth biggest value in -5/4, 23, -3, -10, 10, -0.1? -10 Which is the third smallest value? (a) -4 (b) -1/2 (c) 2/61151 (d) 7 (e) 2/5 c Which is the seventh biggest value? (a) -3 (b) -0.5 (c) 7 (d) -0.11 (e) -0.1 (f) 0.5 (g) 35 a What is the fourth biggest value in 0, 2/5, 70, 3, -1.3082? 0 Which is the fourth smallest value? (a) 1/2 (b) -1/3 (c) 1 (d) -0.11661 (e) -5 (f) -0.2 d Which is the smallest value? (a) -3.3 (b) -7 (c) -89.7 (d) 0 (e) -1 c Which is the second smallest value? (a) 2 (b) -18/29237 (c) -38.8 b What is the second biggest value in 2/9, 12, 4, 9, 28, 0.13? 12 Which is the biggest value? (a) 4/3 (b) 1/3 (c) -493711 (d) 3 d Which is the second smallest value? (a) -2 (b) -5 (c) -68 (d) -0.14 (e) -19.1 (f) -0.2 e Which is the biggest value? (a) -0.1725 (b) 0.4 (c) -5 (d) 9/5 d Which is the biggest value? (a) 105 (b) 106.8 (c) 5.3 b Which is the second biggest value? (a) -0.5 (b) -1.2 (c) -4532284 b What is the third biggest value in 4984/191, 5, -0.5, 2/67? 2/67 What is the fifth biggest value in 3, 0.04, -6/5, 1/84, -2? -2 What is the fifth biggest value in -0.03, 3, 1, -2, 5/6, -2/7, -3/2? -2/7 What is the fifth smallest value in 1, 383.5, 9.5, 0.08, -10? 383.5 Which is the fourth smallest value? (a) 1/3 (b) -0.5 (c) -1 (d) 90 (e) -9 (f) 7/4 a Which is the third smallest value? (a) -0.3 (b) 65508234 (c) 5 b Which is the fourth biggest value? (a) -2/5 (b) -16 (c) -0.5 (d) 3706 b What is the third biggest value in -1, -6/7, 4, 1.8, -0.07, 0.039? 0.039 What is the smallest value in 4, -0.5, -3, 42, 71, -0.1, -1/7? -3 Which is the sixth biggest value? (a) -2 (b) -2/15 (c) 3/7 (d) -0.2 (e) 5.005 (f) -1 a What is the sixth smallest value in 0.2, -11, 0.1, -1.1, 292, -0.2? 292 What is the third biggest value in 0.06, -25, 144814? -25 What is the sixth biggest value in 2/1061, -5, 19, 28, -1/2, 4? -5 Which is the smallest value? (a) 3.6 (b) 2 (c) 1 (d) -86 (e) 28/15 d What is the fifth biggest value in 5, 4, 6, -44/4679, -4? -4 What is the third smallest value in 3839551, 1/6, 4? 3839551 What is the fourth biggest value in -1/4, -7, 0.03, 1/48, -0.087, -5, -0.3? -1/4 What is the smallest value in -45, 116476, 1/2, -0.1? -45 Which is the fourth biggest value? (a) -2098 (b) 5 (c) -1/13 (d) -11.9 (e) 2/5 d Which is the second smallest value? (a) -3/47 (b) -41/2 (c) 18 (d) 2 a Which is the third smallest value? (a) -0.0256458 (b) -7/2 (c) -1/2 (d) -0.12 d What is the third biggest value in -1, 3593, 181, 1/3? 1/3 Which is the sixth smallest value? (a) 1 (b) -1/5 (c) 3 (d) 40.1 (e) -1 (f) 47/5 (g) -0.5 f What is the biggest value in 2/9, 5, 0, 9, -1/4, 0.04, 0.1? 9 Which is the fourth smallest value? (a) -5/3 (b) -0.0809 (c) 1/3 (d) -1820.6 c Which is the fourth smallest value? (a) -7.1 (b) 1/46 (c) 159 (d) 2/3 (e) 0.1 d Which is the seventh smallest value? (a) -3 (b) -1 (c) 1/14 (d) 0.3 (e) -14 (f) -7 (g) 113 g What is the second biggest value in -15, 2/9, -5, 40652/7? 2/9 What is the second biggest value in 0.186736, 48, 5? 5 Which is the sixth smallest value? (a) 105/8 (b) 8 (c) -18 (d) 4 (e) 0 (f) 0.1 a What is the second biggest value in -510, -4/3, 2/7, 4/3, -3, 2/45, 0.16? 2/7 Which is the smallest value? (a) -46/31 (b) 0.1 (c) -400 c Which is the second biggest value? (a) -0.88 (b) -5 (c) -235526 b What is the fourth smallest value in 18/7, 49/5, 2, -0.1123? 49/5 What is the third smallest value in 0, -46/47, -0.3, 2, -1/2, -5, -2749/4? -46/47 What is the second biggest value in -3, 3, 26, -4, -0.089, 1/4, -1? 3 Which is the second smallest value? (a) 21/10 (b) 1 (c) 0.053 (d) -234 c What is the fifth smallest value in 3/2, 13578, -1, -2/13, 1/12? 13578 What is the fifth biggest value in 4, -4/5, 0.001, -4, -33/13, 0.3? -33/13 Which is the sixth smallest value? (a) 869 (b) 0.344 (c) 5/3 (d) -5 (e) -1/8 (f) 0.4 (g) -9 c Which is the fourth smallest value? (a) -263 (b) 780.16 (c) -7 (d) -0.2 b Which is the second smallest value? (a) 5 (b) -1 (c) 1/5 (d) 15 (e) -30 b Which is the fifth smallest value? (a) -2/1593 (b) -2/5 (c) -1 (d) -3/8 (e) 0.6 (f) 5 e What is the sixth biggest value in 2, -3/5, -0.09, 6242, 4, 2/7? -3/5 Which is the third biggest value? (a) 3 (b) -3281258 (c) -0.4 b What is the second biggest value in -0.5, -3, -5, -2, -166/97, -0.14? -0.5 Which is the fourth biggest value? (a) -1/12 (b) -0.1 (c) -2 (d) -0.664 (e) 1/60 (f) 4 b What is the third biggest value in -5, -6610543/4, -3? -6610543/4 Which is the fourth smallest value? (a) -542 (b) 0.1 (c) 4 (d) -1.3 (e) 2 (f) 1 (g) -2 b What is the second biggest value in 545, 11.1, 3/7? 11.1 What is the fourth smallest value in -2/3, 0.2, 0.1, 0, 196, -10/23, 0.4? 0.1 Which is the third biggest value? (a) -2/3 (b) 5/11174 (c) -25 (d) 0.4 a Which is the fifth biggest value? (a) -0.1 (b) 9.47 (c) -0.11 (d) -3/5 (e) -7 (f) 1/7 d Which is the fourth smallest value? (a) 0.2 (b) 1/3 (c) 3073 (d) 0 (e) -0.4 (f) -14 (g) 5 a What is the second smallest value in -42271/2, 115, 0.2? 0.2 Which is the sixth biggest value? (a) -4 (b) -17 (c) -0.046 (d) -12 (e) 3/5 (f) 1/5 b What is the fourth smallest value in 0.08, 2, -12/29, -76/5, 0, 1/4? 0.08 Which is the biggest value? (a) 4 (b) -9/1870 (c) 0.76 (d) 0.3 a Which is the fourth smallest value? (a) -236 (b) -2/5 (c) 0.09 (d) -1089 c What is the third biggest value in -0.2, 10, 71, 2/7, 0.7833, 0.3? 0.7833 Which is the biggest value? (a) 0.34 (b) -2 (c) -49 (d) 0.881 d Which is the second smallest value? (a) -146 (b) 1 (c) 391275 b What is the biggest value in 5, -129.5, 1.6408, 4? 5 What is the second smallest value in 0.1, -3, 3/7, -27/5, -220.4? -27/5 What is the fourth smallest value in 6.1, 79771, 24, -2/9, -5? 24 Which is the second smallest value? (a) -6 (b) -26 (c) 21.49 a What is the biggest value in 39/7, 20, -229, -0.5, -3/2? 20 What is the smallest value in 9/2, 4, -4, 0.2, 0.3, -1/3? -4 Which is the fifth biggest value? (a) 246 (b) -0.8 (c) 3 (d) 6 (e) -2 (f) 0.2 b What is the fourth biggest value in 0, 1, 16566/53, 2/9? 0 Which is the second biggest value? (a) 3/35 (b) -165 (c) -54/19 (d) -1 d Which is the third smallest value? (a) 2/5 (b) -36305454 (c) 2 c What is the third smallest value in 147773, -27, 20? 147773 Which is the second biggest value? (a) 0.2 (b) -1436 (c) 11301 (d) 2/9 (e) 1 e What is the sixth biggest value in -2/91, 0, -2/5, 1472, 3/11, -1/5? -2/5 What is the biggest value in 0.1, -2/29, 1/2
{ "pile_set_name": "DM Mathematics" }
termine k(0). 162 Let o(f) = f**2 - 1092*f + 6519. What is o(6)? 3 Let a(k) = 157*k - 31233. What is a(199)? 10 Let v(l) = 2*l**3 - 44*l**2 + 96*l - 41. Calculate v(2). -9 Let i(w) = -605*w - 4815. Give i(-8). 25 Let u(q) = 4*q**2 - 14*q + 15. What is u(-4)? 135 Let k(b) = 29*b**2 + 322*b + 11. Give k(-11). -22 Let t(c) = 200*c + 39439. What is t(-197)? 39 Let u(h) = -67*h**2 - 1744*h - 57. What is u(-26)? -5 Let m(s) = -s**3 - 22*s**2 + 48*s + 17. Determine m(-24). 17 Let c(u) = -35*u - 390. Determine c(-16). 170 Let s(g) = 623*g - 6. Give s(0). -6 Let o(f) = f**3 + 24*f**2 + 6*f + 781. What is o(-25)? 6 Let n(i) = 10*i**3 - 48*i**2 - 9*i - 5. Determine n(5). 0 Let o(x) = 49*x**2 + 287*x - 7. Give o(-6). 35 Let n(d) = 242*d - 4376. What is n(18)? -20 Let m(n) = -3485*n - 83647. Give m(-24). -7 Let g(r) = 776*r + 31046. Determine g(-40). 6 Let j(a) = -2*a**2 - 20*a + 61. What is j(2)? 13 Let t(m) = m**3 + 13*m**2 + 25*m - 78. Give t(-9). 21 Let q(k) = k**3 - 29*k**2 + 136*k - 31. What is q(23)? -77 Let c(x) = -2*x**2 - 169*x + 5308. Give c(-109). -33 Let n(i) = -4393*i - 26357. What is n(-6)? 1 Let u(z) = -4*z**3 + 13*z**2 + 9*z - 28. Calculate u(2). 10 Let r(z) = z**3 + 5*z**2 + 118*z + 738. Give r(-6). -6 Let o(y) = 79*y + 1944. Give o(-29). -347 Let k(o) = 2*o**2 - 13*o + 7. Give k(7). 14 Let y(v) = 72*v + 359. Give y(-6). -73 Let r(d) = -d**3 + 145*d**2 - 1100*d + 26. Calculate r(8). -6 Let q(w) = -5*w**2 + 123*w - 340. Calculate q(3). -16 Let a(m) = 389*m - 7359. Determine a(19). 32 Let l(c) = -c**3 - 11*c**2 + 99*c - 98. What is l(5)? -3 Let x(c) = 25*c + 1027. Determine x(-51). -248 Let n(i) = 7*i**2 - 23*i - 10. Give n(7). 172 Let w(o) = -6*o**2 - 544*o + 137. Calculate w(-91). -45 Let b(q) = -2*q**2 - 112*q + 1151. Give b(-65). -19 Let n(a) = 36*a - 315. Give n(8). -27 Let w(y) = 48*y + 1675. Determine w(-35). -5 Let c(g) = -g + 6. What is c(24)? -18 Let b(v) = 7*v**3 - 25*v**2 - 55*v + 176. What is b(3)? -25 Let n(x) = x**3 - 14*x**2 - 21*x + 598. Determine n(11). 4 Let p(c) = -321*c + 2218. Determine p(7). -29 Let g(u) = 5*u**3 - 39*u**2 - u + 15. What is g(6)? -315 Let j(s) = -21083*s + 84338. Calculate j(4). 6 Let i(v) = -v**2 + 55*v + 486. Give i(63). -18 Let n(m) = -2*m**2 + 2*m - 18. Give n(0). -18 Let w(q) = 76*q + 6978. What is w(-92)? -14 Let k(p) = -p**3 - 145*p**2 + 142*p - 343. Determine k(-146). 241 Let p(s) = -s**2 + 45*s + 39. Determine p(43). 125 Let c(u) = u**3 - 17*u**2 - 627*u + 48. Determine c(-18). -6 Let l(y) = y**3 - 15*y**2 + 34*y - 272. Give l(14). 8 Let a(n) = n**2 + 13*n + 22. What is a(-13)? 22 Let a(p) = 10*p**2 - 417*p + 1240. Give a(3). 79 Let w(g) = -40*g**2 + 21*g + 17. What is w(-1)? -44 Let a(m) = 88*m**2 - 3431*m - 4. What is a(39)? 35 Let y(a) = -5*a**2 + 31*a + 4. Give y(9). -122 Let c(f) = -16*f**2 - 119*f - 20. Determine c(-5). 175 Let j(b) = -1872*b + 26205. Give j(14). -3 Let c(k) = -3*k**2 - 7*k + 47. Determine c(4). -29 Let c(a) = -11*a**2 + 29*a - 220. Give c(9). -850 Let w(x) = 12*x**2 - 104*x - 31. Calculate w(9). 5 Let c(s) = 12*s + 92. Determine c(0). 92 Let j(n) = 2*n**2 - 169*n - 527. Calculate j(-3). -2 Let c(w) = -w**3 + 16*w**2 + 9*w + 45. Determine c(12). 729 Let t(c) = 44*c + 416. Determine t(-6). 152 Let w(m) = -m**3 + 27*m**2 - 27*m + 35. Calculate w(26). 9 Let h(u) = 2*u**2 + 49*u - 62. Determine h(-26). 16 Let t(c) = -c**2 + 14*c + 117. What is t(18)? 45 Let d(f) = -145*f + 1807. Determine d(13). -78 Let k(f) = f - 79. What is k(30)? -49 Let y(i) = 11*i**2 - 82*i + 169. What is y(2)? 49 Let y(a) = 16*a + 2732. Determine y(-171). -4 Let i(w) = -53*w**2 - 105*w + 101. Calculate i(1). -57 Let u(d) = -26*d + 2780. Calculate u(107). -2 Let l(t) = -110*t**2 + 59*t - 60. Give l(1). -111 Let k(j) = 28*j - 254. Determine k(9). -2 Let o(z) = -33*z + 94. Calculate o(4). -38 Let z(o) = -o**3 - 8*o**2 + 3*o - 37. Calculate z(-11). 293 Let f(t) = -3*t**3 - 9*t**2 + 13*t - 4. Calculate f(1). -3 Let r(w) = 2*w**2 - 224*w + 1864. Give r(103). 10 Let r(f) = 203*f + 9762. What is r(-48)? 18 Let f(j) = j**3 - 130*j**2 + 367*j + 1779. Determine f(127). 1 Let j(o) = 3*o**2 + 19*o - 39. Calculate j(-10). 71 Let r(z) = -3*z**3 + 80*z**2 + 19*z + 326. Give r(27). 110 Let g(y) = -4*y**3 - 37*y**2 + y + 14. Give g(-10). 304 Let a(s) = s**2 + 7*s - 103. Give a(-20). 157 Let d(q) = -164*q - 1089. Calculate d(-3). -597 Let p(k) = 6*k**3 - 92*k**2 + 25*k - 133. Determine p(15). -208 Let f(r) = -r**2 - 11*r + 123. Calculate f(0). 123 Let k(v) = 2*v**2 - 1331*v + 3977. Give k(3). 2 Let h(b) = b**3 + 19*b**2 + 52*b - 13. Calculate h(-15). 107 Let d(x) = 15*x**3 - 102*x**2 - 21*x + 6. What is d(7)? 6 Let j(k) = 3*k - 36. Calculate j(-17). -87 Let d(y) = -y**2 + 6*y + 140. Give d(-10). -20 Let z(f) = -77*f - 177. Determine z(-2). -23 Let f(i) = -35*i**2 + 2766*i - 34. Calculate f(79). 45 Let f(n) = -308*n + 3606. Determine f(12). -90 Let o(u) = 2*u**2 + 85*u - 448. Determine o(-47). -25 Let j(f) = -f**2 + 114*f - 3246. Calculate j(57). 3 Let u(j) = -31*j + 97. What is u(2)? 35 Let i(g) = -1917*g - 7701. Determine i(-4). -33 Let d(j) = 2*j**2 + 140*j + 166. Give d(-65). -484 Let r(u) = -u**2 - 25*u - 95. Calculate r(-7). 31 Let y(n) = 22*n - 1167. Determine y(53). -1 Let v(g) = g**3 - 11*g**2 + 15*g + 3. Give v(9). -24 Let b(c) = -5*c**2 - 172*c - 80. Calculate b(-34). -12 Let y(f) = -249*f - 1004. Determine y(-4). -8 Let s(t) = t**3 - 37*t**2 - 782*t + 118. Calculate s(52). 14 Let h(q) = 2*q**3 + 663*q**2 - 357*q - 8303. Give h(-332). -3 Let y(k) = -k**3 - 7*k**2 + 206*k + 1086. What is y(-5)? 6 Let a(m) = -41*m + 641. Determine a(16). -15 Let g(o) = o**3 - 29*o**2 + 39*o + 400. Determine g(27). -5 Let h(b) = -3875*b - 182128. What is h(-47)? -3 Let o(y) = 52*y + 1255. Calculate o(-24). 7 Let m(k) = k**3 - 8*k**2 + k + 36. Calculate m(7). -6 Let q(s) = s**3 - 148*s**2 + 281*s + 1590. Determine q(146). -16 Let x(a) = -21*a - 5613. Give x(-266). -27 Let w(v) = -v**3 - 60*v**2 + 258*v + 29. Determine w(-64). -99 Let l(b) = 112*b - 2922. Give l(26). -10 Let v(n) = 553*n + 8294. Give v(-15). -1 Let i(v) = 2*v**3 + 61*v**2 + 11*v + 1306. Determine i(-31). 4 Let p(x) = 65*x**2 + 652*x + 42. Determine p(-10). 22 Let i(x) = x**2 - 17*x + 142. Determine i(17). 142 Let b(w) = 424*w + 3432. Give b(-8). 40 Let i(d) = 2*d**3 + 21*d**2 - 72*d - 88. Determine i(-13). 3 Let v(z) = -z**3 - 9*z**2 + 66*z - 41. What is v(-14)? 15 Let b(h) = 40*h - 2841. Determine b(72). 39 Let u(k) = 1198*k + 8389. Give u(-7). 3 Let x(z) = -55*z + 2187. What is x(40)? -13 Let q(g) = -873*g - 5243. Give q(-6). -5 Let m(x) = x**2 + 3*x - 7. What is m(11)? 147 Let l(y) = -y**3 - 10*y**2 + 29*y - 10. Give l(-10). -300 Let j(v) = -v**3 + 7*v**2 - 14*v - 6. Give j(5). -26 Let w(v) = -124*v - 703. What is w(-5)? -83 Let i(c) = c**3 + 22*c**2 + 24*c - 324. What is i(-20)? -4 Let k(v) = -4*v**3 + 63*v**2 + 86*v - 20. Determine k(17). -3 Let l(k) = -4704*k - 42359. Give l(-9). -23 Let k(w) = -14*w**2 + 494*w - 135. What is k(35)? 5 Let f(h) = -2*h**3 + 10*h**2 - 1217*h + 2406. Give f(2). -4 Let g(b) = -105*b**2 + 54*b - 103. Calculate g(2). -415 Let f(a) = -a**3 - 3*a**2 + a - 14. Calculate f(-5). 31 Let j(m) = -3234*m - 9674. Give j(-3). 28 Let v(w) = -4*w**3 + 9*w**2 - 4*w - 2. Determine v(3). -41 Let b(m) = -13*m**3 - 13*m**2 + 33*m + 6. What is b(3)? -363 Let x(n) = -89*n - 2053. Give x(-23). -6 Let b(h) = 8*h**2 + 296*h - 342. Calculate b(-38). -38 Let a(x) = -x**3 + 116*x**2 + 863*x - 282. What is a(123)? -36 Let w(m) = 2*m**3 - 40*m**2 - 10*m - 42. Calculate w(19). -954 Let v(x) = 746*x + 38799. Calculate v(-52). 7 Let i(n) = 12*n**2 - 12*n + 22. Give i(0). 22 Let g(j) = j**3 - 15*j**2 + 9*j + 24. Give g(14). -46 Let s(t) = -37*t + 742. Determine s(20). 2 Let y(z) = z**2 + 39*z - 461. Give y(9). -29 Let w(k) = -13*k**2 + 319*k + 501. Calculate w(26). 7 Let n(a) = -2*a**3 + 59*a**2 - 426*a + 20. What is n(17)? 3 Let m(v) = 25*v - 1428. Calculate m(56). -28 Let c(i) = 3*i**2 - 67*i + 37. Determine c(20). -103 Let j(y) = 7*y**3 - y**2 + 77*y - 78. Determine j(1). 5 Let d(t) = -1349*t + 13. What is d(0)? 13 Let z(f) = 12*f**2 - 33*f + 93. What is z(3)? 102 Let o(y) = 83*y - 1241. Determine o(15). 4 Let z(k) = -2*k**3 + 52*k**2 - 44*k - 153. Determi
{ "pile_set_name": "DM Mathematics" }
alculate the remainder when o is divided by 9. 7 Suppose k - 16 = -4*r, -4*k - 20 = -3*r - 2*r. Suppose 2*a = 5*o + 51, -r*a + 4*o = a - 102. What is the remainder when 34 is divided by a? 16 Suppose 0*o + 3*o - 195 = 0. Let r = o + -30. What is the remainder when r is divided by 11 - (0 + 1 + -2)? 11 Let z(r) = 0*r**2 + r**2 + 2*r**2. Let l be z(-1). Calculate the remainder when 3*(32/l - 2) is divided by 14. 12 Let q be (-4 - -2)*2*2. Let c = q + 27. What is the remainder when c is divided by 7? 5 Let f = -99 - -112. What is the remainder when 112 is divided by f? 8 Let a(f) = 12*f - 6. Let m be a(4). Let d = 1 + m. What is the remainder when d is divided by 11? 10 What is the remainder when 17 is divided by 1/((-14)/6) + (-900)/(-140)? 5 Let u be 0 - -36 - 1 - 3. Let o = u - 16. Calculate the remainder when 29 is divided by o. 13 Let d(a) = a**2 - 5*a - 3. Let l be d(6). Suppose 2*c = -l*c + 220. Calculate the remainder when c is divided by 15. 14 Let f(z) = 3*z**2 - z + 3. Let p be f(-3). Suppose 5*m = m + 5*d + p, -2*m + 4*d + 12 = 0. What is the remainder when 57 is divided by m? 9 Suppose -2*f - l = -4*l - 70, 0 = -2*f + 5*l + 66. What is the remainder when 72 is divided by f? 34 Let f = 93 + -77. Let b(h) = -44*h**3 + 2*h**2 - 1. What is the remainder when b(-1) is divided by f? 13 Suppose 0 = -5*f + 13 + 17. What is the remainder when 35 is divided by f? 5 Suppose a - 2*j = -0*a + 4, 4*a - 4*j - 36 = 0. What is the remainder when 39 is divided by a? 11 Suppose 4*s + 3 = 23. What is the remainder when (-1)/4 - 106/(-8) is divided by s? 3 Suppose -7 + 3 = -4*o. Let u = o - 2. What is the remainder when 41 is divided by 1 - -11 - 2/u? 13 Suppose -2*m + 25 = 3*c - 2*c, -3*m - 30 = -3*c. What is the remainder when 44 is divided by c? 14 Let i(a) = -a**3 - a. Calculate the remainder when i(-3) is divided by (11/(-2))/(5/(-10)). 8 Let i = 52 + 10. Calculate the remainder when i is divided by 13. 10 Suppose -2*l = -4*l. Suppose l = -4*s + 2*s + 14. Calculate the remainder when s is divided by 3. 1 Let j be (2/(-1))/((-20)/50). Suppose -j*g = -7 + 32. Let n = 2 - g. What is the remainder when 20 is divided by n? 6 Let x(z) = -z + 20. Calculate the remainder when x(-33) is divided by 20. 13 Suppose 5*j - 7*j + 20 = 0. Calculate the remainder when 39 is divided by j. 9 Suppose 4*n - l - 116 = -5*l, 5 = l. What is the remainder when 46 is divided by n? 22 Let f(y) = -y**3 - 5*y**2 - y - 4. Let j = -5 - -8. Suppose 2*t - j*t = -20. Calculate the remainder when f(-6) is divided by t. 18 Let w = -24 - -38. What is the remainder when 39 is divided by w? 11 Let j = 6 + -1. Suppose j*f = -0*p - p + 12, 0 = 5*f + 4*p - 18. Suppose -5*z - f*c = -57, 29 = 2*z + z - 4*c. Calculate the remainder when 32 is divided by z. 10 Let u = -2 + 9. What is the remainder when u is divided by 1? 0 Let k(l) = 4*l**2 + 3*l - 2. Let q = 4 + 52. Suppose 4*v - t = q, v - 6*t + 1 = -2*t. What is the remainder when k(3) is divided by v? 13 Let z be 3051/21 + 4/(-14). Let y = -82 + z. What is the remainder when y is divided by 16? 15 Let w = 36 - 19. What is the remainder when 83 is divided by w? 15 Let j = -62 + 96. Let n = 6 + -9. Calculate the remainder when j is divided by (-7 - n)*18/(-4). 16 Let v(f) = -10*f - 3. Let u be (2/5)/(2/10). Suppose 2*a - 5 = 2*i + 1, -12 = a + u*i. Calculate the remainder when v(a) is divided by 9. 8 Let l(g) = g**3 + 12. Let d = 19 - 18. Calculate the remainder when l(0) is divided by d/(4 + (-54)/14). 5 Suppose 4*i = 4*v - 16, -v - 2*i = -8 - 2. Calculate the remainder when 120/16*28/v is divided by 18. 17 Suppose 3*q = -9, -42 - 10 = -5*a + 4*q. Suppose -5*r + 119 = 4*y, -3*r + 13 = -5*y - 51. Calculate the remainder when r is divided by a. 7 Let g(t) = t**3 + 8*t**2 + 8*t + 8. What is the remainder when 94 is divided by g(-6)? 30 Suppose -4*m + 106 = 2*a - 0*a, 19 = m - a. What is the remainder when m is divided by 13? 11 Suppose -r + 32 = r. Calculate the remainder when 55 is divided by r. 7 Suppose -1 = -9*x + 53. What is the remainder when 27 is divided by x? 3 Let j(z) be the third derivative of -z**4/24 + 4*z**3/3 - z**2. Suppose 3*a = 2*a. Calculate the remainder when 14 is divided by j(a). 6 Suppose 5*k - 2 = 18. Suppose -k*d + 7 = -1, -2*v + 10 = 2*d. What is the remainder when 1*2 + 2 + 3 is divided by v? 1 Suppose 0 = -3*f - q - 5, -6*f - 2*q - 8 = -f. Let z(g) = g - 3*g - g**3 - 5*g**3 + 1. Calculate the remainder when z(f) is divided by 18. 17 Calculate the remainder when 17 is divided by 4/10 + -3 + (-365)/(-25). 5 Let t(s) = 7*s + 3. Let l(n) = n**2 - 2*n - 4. Let v = -1 - 2. What is the remainder when t(4) is divided by l(v)? 9 Let j(a) = 3*a**2 - 9*a - 4. What is the remainder when 30 is divided by j(4)? 6 Let i = -14 - -25. Suppose -i + 131 = 4*q. What is the remainder when q is divided by 11? 8 Let b = -53 + 76. Calculate the remainder when b is divided by 14. 9 Suppose -2*j + 4 = 0, -3 = 5*c + 2*j + 28. Let i = c - -20. Calculate the remainder when 22 is divided by i. 9 Calculate the remainder when (40/3)/(-8)*-9 is divided by 6/(-4)*16/(-3). 7 Let k be 3/(-1) - (-9)/3. Suppose k*b = -b + 4. What is the remainder when 10 is divided by b? 2 Let l(s) = s**3 - 4*s**2 - 4. Let h be l(4). Let k be 0 - ((-1 - -3) + h). Suppose -3 = -k*y + 3. What is the remainder when y is divided by 2? 1 Let n(s) = s - 1. Let p be 7 - (1 + -2)*-2. Calculate the remainder when 10 is divided by n(p). 2 Let c = 132 + -83. What is the remainder when 94 is divided by c? 45 Let y(h) = h + 6. Let n be y(-6). Suppose n*m - 4*m = -84. Let w = -15 + m. Calculate the remainder when w is divided by 4. 2 Let k = 1 - -1. Calculate the remainder when 6 - ((-4)/(-1))/2 is divided by k. 0 Suppose 3*o - 4*o = 3, 2*o - 19 = -5*k. What is the remainder when k is divided by 4? 1 Let f(n) = -7*n - 8. Let v be f(-5). Let r = v + -16. Suppose 3*c - 14 = -x, 4*x - 117 = -2*c - 41. What is the remainder when x is divided by r? 9 Let a(w) = w + 1. Let r(y) = y + 6. Let m be r(-6). What is the remainder when a(6) is divided by (m - 1)/(3/(-9))? 1 Let f = 31 + -7. Suppose 3*q - f = -q. Calculate the remainder when q is divided by 4. 2 Calculate the remainder when 45 is divided by (4/(-10))/((-7)/140) - 2. 3 Suppose 4*i = -v + 11, 2*v + 4*i + 6 = 24. Let x = 1 - v. What is the remainder when 14 is divided by 100/(-15)*x/5? 6 Let x(b) = -b**2 + 4*b - 1. Let u be x(2). Let i be u/((-3)/(-38) + 0). Calculate the remainder when 35 is divided by i*1*3/6. 16 Let l(d) = 15*d**2 - 2*d + 2. Calculate the remainder when l(2) is divided by 20. 18 Suppose 0*j - 5*j - s = -41, 4*s = 2*j - 12. Calculate the remainder when 2 + j/(-12)*-30 is divided by 12. 10 Let l(u) = u**3 - 6*u**2 + 4*u - 1. Let f be l(5). Let z = f + 13. What is the remainder when z is divided by 4? 3 Suppose -3*j = -5*j + 24. Suppose -4*c = -3*t - 144, 3*c - 2*t - 3 = 104. Suppose 2 = p - c. What is the remainder when p is divided by j? 11 Suppose -2*o + 84 = -318. Suppose -2*r = 4*w - 78, -5*r + o = -w + 5*w. Calculate the remainder when r is divided by 14. 13 Let c = -21 - -30. Let j = -59 + 92. What is the remainder when j is divided by c? 6 Suppose -11 = -2*z - 1. Suppose 4*b + 0 + 3 = -w, -3*w + 8 = -z*b. What is the remainder when (12/(-10))/(b/20) is divided by 13? 11 Let t be ((-6)/2)/(-2 + 1). Suppose l - t*l = -30. Let a = 47 - 18. Calculate the remainder when a is divided by l. 14 Let a = 67 - 34. Calculate the remainder when 0*(-2)/(-4) + a is divided by 12. 9 Suppose 0*c = c - 29. Suppose -3*t + 70 = -38. Suppose -4*l + r + 39 = 0, 4*l - t = 5*r - r. Calculate the remainder when c is divided by l. 9 What is the remainder when (-1)/3 + (-824)/(-24) is divided by 18? 16 Let u(s) = -s**3 + 7*s**2 + 2*s + 3. Let l = -3 + 7. What is the remainder when u(l) is divided by 20? 19 Let a = -23 - -201. What is the remainder when a is divided by 18? 16 Let n(q) = -8*q + 5. Let p(s) = -4*s - 2. Let r be p(-3). Let t = r + 8. Calculate the remainder when n(-6) is divided by t. 17 Suppose 21 = f - s - 2*s, 2*f = -5*s + 53. Suppose -2*v = 2*v - f. Let m(k) = 9*k - 1. What is the remainder when m(2) is divided by v? 5 Suppose -60 - 28 = -8*b. What is the remainder when b is divided by 3? 2 Calculate the remainder
{ "pile_set_name": "DM Mathematics" }
What is the second smallest value in -1, -4, 0.025, j, -1/3? -1 Let h = 27921 - 4271351/153. Let s = h + -32/9. Let o = -7/11 + 85/99. Which is the third biggest value? (a) 3/5 (b) -3/17 (c) s (d) o c Let j = -21271 + 191251/9. Which is the smallest value? (a) 2 (b) 0.1 (c) j c Let r = -10 - -6. Suppose 61*f + 37 = 54*f + 44*f. What is the smallest value in f, -22, r? -22 Suppose 4*n = 3*w - 7, -49*n - 29 = -51*n - 5*w. What is the third smallest value in 0.4, 174, n, 3? 3 Let c = 1007 - 1006.99. What is the third biggest value in 5/11, -5, c? -5 Let y = -8243.1 + 8243. Let c = -44 - -48. What is the third smallest value in c, 8, y, 0? c Let z = 400 - 409.85. Let v = z + -0.15. Let n = 10.5 + v. Which is the smallest value? (a) 5 (b) 2/43 (c) n b Let s = 17061 - 17060. Let w = -2.3 - -2. Which is the smallest value? (a) -4 (b) w (c) s a Let j = -0.02 + 1.02. Let o = 5.29 + -5.3. Let c = 1/5 + 7/15. What is the biggest value in j, c, o? j Let r be 9/15 + 33/(-5) + (-640)/(-104). Which is the fourth smallest value? (a) -5 (b) r (c) 3 (d) 0.2 (e) 1/14 d Let f be (-1 - (-2 + 3)) + (0 - 0) + -10. Which is the third smallest value? (a) f (b) -2/9 (c) -2/7 (d) -6/13 c Let d be ((-6)/(-4))/((-12)/4 - 1). Let l = -34 + 32. What is the fourth biggest value in 5, -1/3, l, d? l Let h be (45/(-30))/((-12)/(-32)). Let t be 26/(-65) + (3 + h)*0. What is the third biggest value in t, -3/7, -0.5, 11.4? -3/7 Let w be (-6)/(-1) + 1377/27. Let i be ((-9)/(-15))/(w/38). Let g be 2/((-8)/(-3)) + -1. What is the second biggest value in 1/5, i, g? 1/5 Let r(v) = -2*v**2 + 15*v - 37. Let y be r(3). Let g be (1 + -10)/(2/y). What is the third smallest value in 1, g, 4, -2/11? 4 Let f = -15942 + 47825/3. Let p = -3/10 - 1/5. Which is the fourth smallest value? (a) -2/3 (b) p (c) 0.7 (d) f c Let j = 2013.1193 - 2013. Let t = -0.0807 - j. Which is the smallest value? (a) -8 (b) -0.9 (c) t (d) -5/3 a Let v = -266/183 + 1696/915. Let x = -16 - -22. Let r = x - 5.7. What is the second biggest value in v, 0, r, 1? v Let n = 1724 + -1723. What is the second smallest value in n, -2, -25, 3? -2 Let t = 129 + -129.247. Let g = -0.347 - t. Let s = -149/6 + 51/2. Which is the biggest value? (a) g (b) s (c) 0 b Let t = -71.78 - -63.78. What is the second biggest value in -1/4, t, -4/7, 1/10, -4? -1/4 Let p = 522.1 - 521.6. What is the third biggest value in 25, -2/5, -1, p, -0.5? -2/5 Let l be 0 + 146/(-2)*2/120. Let v = -7/15 - l. Suppose -5*k + 4*j + 31 = 0, 0*k + 3*j = 4*k - 24. Which is the third smallest value? (a) -4/3 (b) v (c) k c Let k(f) = 2*f**2 + 2*f + 30. Let d be k(0). Which is the biggest value? (a) 2/5 (b) -0.52 (c) d c Let j(t) = -2*t - 4. Let w be j(-6). Let y be (w/25)/4 + 1 + -1. Let x = -0.7 - 2.3. Which is the second smallest value? (a) -5 (b) x (c) y b Let c be 5 + -8 + 1154/70. Let i = -66/5 + c. Let n = 10.91 - 14.91. What is the second biggest value in 0.5, n, i? i Let v = -0.4 + 1.4. Let x = -684.3 - -684. Which is the second biggest value? (a) -3 (b) x (c) 0.2 (d) v c Suppose 5*x + 97 = 2*j, -j - 2*j + 3*x = -132. Let t = 43 - j. Let g be ((-3)/6)/(0 - (-15)/6). Which is the second biggest value? (a) 2/7 (b) g (c) t a Let y = -0.02628 - -0.22628. Which is the second smallest value? (a) -12 (b) -4 (c) -2/9 (d) y b Let n = -0.61 + 0.31. Suppose d - 4*d + 2*k + 226 = 0, -k = 5*d - 368. Let x = -224/3 + d. Which is the second biggest value? (a) n (b) -5 (c) x c Suppose 5*g = 15, 0 = i + 17*g - 18*g - 500. Let n = 507 - i. Which is the biggest value? (a) 2 (b) 0 (c) n c Let c = 3549 + -3550. What is the third smallest value in -3.33, -2/5, c? -2/5 Suppose 6*h - 2*h = u - 15, 3*h = -u - 13. Let x = -198.27 + 198. Let q = x - -0.67. Which is the fourth biggest value? (a) q (b) u (c) 3 (d) -4 d Let a = 0.32 - -7.68. Let c = -1520 + 1525. What is the fourth biggest value in c, -5, 0, a? -5 Let t be (-894)/(-204) - 5 - (-54)/459. What is the second biggest value in t, -5, -7.42? -5 Let q = -8 + 6. Suppose 17 = -98*s + 82*s + 65. Which is the biggest value? (a) q (b) s (c) -4 (d) 0.6 b Suppose 32*w + 9515 = 3819. Let n = w - -359/2. Which is the third biggest value? (a) 11 (b) -4 (c) n b Let z(i) = -i**3 + 8*i**2 - 8*i + 7. Let l be z(7). Let s = -0.055233 + 0.075233. Which is the fourth smallest value? (a) s (b) -3 (c) l (d) -4 a Let u be (-5)/(11/(-7) - (264/(-77))/6). What is the third biggest value in u, -9/5, -2, 13? -9/5 Let v be 53 - 57 - 17/(-4). Which is the second biggest value? (a) v (b) -5 (c) 3 (d) -0.109 a Let r be (-78 - -82)*(-2)/(-4). Let q be (-4)/(-7)*1/2. Let p = -920.3 - -920. What is the second biggest value in p, r, q, -10? q Let s = 1/147 - 17/98. Let m = -3601.77 - -3604.77. Which is the second smallest value? (a) s (b) m (c) 0.1 (d) -5 a Let u = 68 - 64. Let l = 34.1 + -6.1. Let x = l - 28.3. Which is the fourth biggest value? (a) u (b) -2 (c) 0.3 (d) x b Let t = 282 + -479. Let k = -196 - t. What is the fourth biggest value in k, 3, -4, 0.2? -4 Let u be (312/15)/(2 - (-36)/(-20)). Suppose 0 = -u*i + 110*i + 18. What is the second biggest value in -0.05, i, -0.5? -0.5 Let c(q) = q**2 + 4*q + 4. Let v be c(-3). Let z = 0.06959 - -14.93041. What is the third smallest value in -0.1, 5, z, v? 5 Let y = 18684.8 + -18685. Which is the third biggest value? (a) 0.0624 (b) y (c) -5 (d) 0.4 b Let q = 866.21 - -12.79. Let o = q - 878.6. Which is the biggest value? (a) 0.2 (b) 54 (c) o b Suppose 3*n - 4*q - 52 = 0, 3*n - 77 = -2*q + q. Let j be n/(-90)*15/10. What is the biggest value in j, -0.3, 3/2? 3/2 Let h = 2/27 + 19/108. Let m = 35.18 + -3.68. Let l = -28.5 + m. Which is the biggest value? (a) l (b) h (c) 1 (d) -4 a Let q = -6368 - -6368.3. What is the second biggest value in -5, -2/49, -6, -1, q? -2/49 Let t = 3.606 - 39.606. Which is the second biggest value? (a) 18 (b) 2 (c) t b Let u be 1/(-1) + 6/8. Let a = -310 + 304. Let z = 26.9 - 27. What is the third biggest value in u, a, z? a Let t = -0.068 - -0.268. Let r = -0.04 + 1.74. Let p = 3.7 - r. What is the third smallest value in -5/4, t, p? p Let j = 5.118 - 5.146. What is the second biggest value in j, -3, 0.1? j Let i = 5 - 3. Let l = 2.1 - i. Let s = -8911 - -8913. What is the second smallest value in 1, s, -3/2, l? l Let x = -20972.5 - -20973. What is the smallest value in 1, 0.04, 65, -0.1, x? -0.1 Let u = -0.926 - 0.014. Let a = 3759 + -3749.94. Let n = u - a. What is the biggest value in 0, n, -0.2? 0 Let j = 4541 - 4525. Which is the third smallest value? (a) 7 (b) -3 (c) j (d) 0.5 (e) 0.2 d Let q(l) = -6*l**2 - 212*l - 69. Let x be q(-35). What is the fourth biggest value in 2, -1/20, -0.2, -5, x? -0.2 Let h(p) = 2*p + p**2 + 15*p - 7 - 7*p. Let z be h(-11). Suppose 4*s + 2*u - 2 - 12 = 0, 0 = s + z*u. What is the second smallest value in -2, -1, s? -1 Suppose 0 = -3*v + 4*n - 110, -5*n = v - 0*v + 24. What is the fourth biggest value in 2/3, 1, 8, -0.3, v? -0.3 Suppose 5*n + 2*b + 97 = 0, n - 3*n - 35 = -3*b. Let l = n - -24. Let a = 267.2 + -267. What is the fourth biggest value in -2/9, 0, a, l? -2/9 Suppose -3 - 18 = -7*m. Suppose -27*r = -m*r - 72. Which is the second biggest value? (a) -4 (b) 2/17 (c) r (d) 0.1 b Let q = -564 + 564.3. Let k = -10.8 + 11. Which is the second smallest value? (a) q (b) -4/5 (c) -3/2 (d) k b Let w = -122.9 + 133. Let l = w - 9.9. What is the third biggest value in l, 0, -2/13, -6/5? -2/13 Let q = -6244.03 + 6244. What is the biggest value in -3, q, 0.2, 10? 10 Let b = 609 - 610. Let q = -13 + 13.9. What is the biggest value in b, q, 0.3? q Let j be (-12215)/84 + (-4)/16*1. Let h = j + 146. What is the third biggest value in 3, 3/7, h? h Let l = 100 - 99.14. Let p = l + -6.86. Let n = 4.85 - 2.85. Which is the second smallest value? (a) 0.4 (b) 0.2 (c) p (d) n b Let u = 7572 - 7575. Which is the second biggest value? (a) 4 (b) -2.8 (c) -2 (d) u (e) 0.5 e Let j be (-6)/(-4)*(-2)/(-15). Let z be ((-1)/(30/4))/((-2)/5). Which is the third biggest value? (a) 5 (b) j (c) z b Suppose -8*v + 50 = -78. Let r be (-9 - -6) + 54/v. Which is the biggest value? (a) 3 (b) r (c) -9 a Let j = 2.4846 + 1.5154. Let u = 0.05 - -0.15
{ "pile_set_name": "DM Mathematics" }
(b) -1 (c) 1/12 (d) -2.5 (e) 3/4 b What is the second biggest value in 1, -1/3, 1244, -7/12, 1/6? 1 Which is the second biggest value? (a) -2 (b) 24 (c) 18/19 (d) 0.4 (e) -0.02646 c Which is the third biggest value? (a) -1/8 (b) -13/3412 (c) 1 (d) 2 (e) -4 (f) 3 (g) -2/3 c What is the second smallest value in 201, 27031, -5? 201 What is the fifth biggest value in -2/5, -3, -2, -0.25, -46, -1, -0.1? -2 Which is the third smallest value? (a) -0.4 (b) 25.86 (c) 1505 c What is the third biggest value in -0.205, -0.14, 6, 123? -0.14 What is the biggest value in -4856971, 0.3, -59? 0.3 Which is the fourth biggest value? (a) 6/11 (b) -0.35 (c) -161 (d) 3/4 (e) 72 (f) -0.3 (g) -0.1 g What is the second smallest value in -0.4, -0.5, 5, -1, -2/7239, 0.3, 4.1? -0.5 Which is the biggest value? (a) -0.09 (b) -3 (c) 6/205 (d) 0.1 d Which is the second smallest value? (a) 2 (b) -2 (c) -536 (d) -26 (e) 5 (f) -40 f Which is the fifth biggest value? (a) -1/4 (b) -6 (c) -15 (d) 1994 (e) 2 (f) 4 (g) 0.1 a Which is the second biggest value? (a) 1/5 (b) 4 (c) -5/2 (d) -0.1 (e) -6 (f) 24 (g) -29 b Which is the smallest value? (a) -1.125 (b) 40969/3 (c) 3 a Which is the third biggest value? (a) -36/11 (b) 112 (c) -72 c Which is the third biggest value? (a) 3 (b) -4.78522 (c) 3/7 (d) 7 c What is the smallest value in -2/11, -29684, 6, -40? -29684 What is the biggest value in -3/2, -2018070, -1/2, 2, 3? 3 What is the seventh smallest value in -2/13, 18, -559, 3, -1/9, -12, 2? 18 Which is the sixth smallest value? (a) -0.9263 (b) 0 (c) 5 (d) -0.6 (e) 13 (f) -2 e What is the third smallest value in 58.24, 5/4, -4/17? 58.24 What is the fourth biggest value in 224, 10, -3/5, 2, 0.04, 0? 0.04 What is the fifth smallest value in -5, -62, -6.4, -1/12, 8, 2? 2 Which is the biggest value? (a) -0.06 (b) 2/5579 (c) 0 (d) 2 (e) 1/24 d Which is the fourth smallest value? (a) -89 (b) 0.05 (c) 1/4 (d) -500 c What is the third smallest value in 1.51, 0.6, -2/3, -4025? 0.6 Which is the fourth smallest value? (a) -17 (b) 67/3 (c) -3 (d) -0.19 b What is the fourth biggest value in 386/5, 5, -1450/7, 1/3? -1450/7 What is the fifth biggest value in 0.2, -0.7, 4, 2/13, 79, 43? 2/13 What is the second biggest value in -530, 0, 6288? 0 What is the third smallest value in -0.4, -0.9, -0.23, 77, 3? -0.23 What is the second smallest value in -3/4, -5/8, -2/5, 2/125? -5/8 Which is the smallest value? (a) -0.1 (b) 52 (c) 43/10 (d) 2/7 (e) 2/9 (f) -3.4 f What is the third biggest value in -3, -16, -0.3, 22172.2? -3 What is the second smallest value in -1, 16/685, 15, -5, 0.2? -1 What is the fourth biggest value in 1/5, 1/12, 22.074, 16, -0.1, 2? 1/5 Which is the biggest value? (a) 8804/3 (b) 7 (c) 79 a What is the biggest value in 1116, -2, -2/5, -56, -1? 1116 Which is the smallest value? (a) -0.51 (b) 0.5 (c) -52 (d) -0.612 c What is the second smallest value in 394, -3063, 1.3, 0.5? 0.5 Which is the fifth smallest value? (a) 4 (b) 49 (c) 5 (d) 3 (e) 373 (f) -1 (g) 1/2 c Which is the second biggest value? (a) 2 (b) -203 (c) -119 (d) 161 a What is the third biggest value in 0.5, 1, -2/13, 1/5, -21/16949? 1/5 What is the biggest value in -0.3, 21, -3/2, -3, -49359, -2? 21 Which is the fourth biggest value? (a) -7 (b) -2.2 (c) 0.4 (d) -6/7 (e) -2/13 (f) 2 (g) 2/21 e What is the second smallest value in -4, 39118, 0.2, 3/5, 1, 0.09? 0.09 What is the second biggest value in 0.1, -0.1, 9362/3? 0.1 Which is the third biggest value? (a) -6 (b) 4951 (c) 2 (d) -75 (e) 1/4 e Which is the second smallest value? (a) -208564 (b) -30 (c) 0.19 (d) 0.5 b What is the third smallest value in 17.7, -2/13, 5, 18, 56, 7, 1/3? 5 What is the sixth smallest value in -3/2, 2/7, 0.19, 13, 1/3, -41751.9? 13 Which is the third smallest value? (a) -2/15 (b) -6 (c) 5 (d) 3 (e) 10071 (f) -2/3 a What is the second biggest value in 2/36699, -2/9, -0.13, -1/2, -4, -3? -0.13 Which is the second smallest value? (a) 4 (b) -15 (c) 44687 (d) 0.5 d What is the second biggest value in -1/6, 0.3, 8, -1.1, 3/2324? 0.3 Which is the fourth smallest value? (a) 4 (b) -2 (c) -12 (d) 23 (e) 1/6 (f) -19 e What is the third smallest value in -0.2, -2.8811, -4/215? -4/215 Which is the second biggest value? (a) -289 (b) 35140 (c) -3/13 c Which is the fourth biggest value? (a) -131 (b) -2 (c) 1/6 (d) 2/11 (e) 3 (f) -440 (g) 10 c Which is the smallest value? (a) -2.7 (b) 4.441 (c) -0.04 a Which is the smallest value? (a) -7/12 (b) 89252 (c) -1 c Which is the fifth biggest value? (a) -196 (b) 0.1085 (c) 1/2 (d) 2 (e) 1 a Which is the third biggest value? (a) 81 (b) -49 (c) -1/10 (d) -5 (e) -2/7 (f) 4 c Which is the third biggest value? (a) -74 (b) -1572 (c) 2 b What is the fifth smallest value in -0.2, -0.2274, 1/7, 0.07, 2? 2 What is the fifth smallest value in 2, -0.1, -0.0083, -0.5, -2/23, 2.93? 2 What is the second smallest value in -1/4, 5/211, -2/11, 0, 0.45? -2/11 What is the smallest value in -274, 0.1, -118, -22, -2? -274 Which is the second biggest value? (a) 1/9 (b) 2/5 (c) 9/410 (d) 0.3 (e) -8.6 d What is the third biggest value in -2/23, -1/5, -152, 5, -0.7, 0.5? -2/23 Which is the fourth smallest value? (a) 1/5 (b) -110 (c) -40/7 (d) 1.6 d Which is the third biggest value? (a) 0.3 (b) -0.0631521 (c) -0.1 (d) -0.4 (e) -2 (f) 0 b Which is the sixth smallest value? (a) -2 (b) 457 (c) -1 (d) 3 (e) 8/9 (f) 0.06 b Which is the sixth biggest value? (a) 2 (b) -2/3 (c) 8/3 (d) -33 (e) -1/6 (f) -7 (g) 0.2 f What is the sixth smallest value in 1/5, 10, -0.2, -3/4, -1, -6037? 10 Which is the smallest value? (a) 3/2 (b) 0.5 (c) -2277 (d) -0.1 (e) 148 (f) -3/2 c What is the second smallest value in 2, 1, 0.5, -155, 204, -1/2? -1/2 What is the second smallest value in 8800, 391, 1.1? 391 Which is the third smallest value? (a) 0 (b) 6/5 (c) 0.9 (d) 2/7 (e) -1/2758 (f) 44/9 d What is the smallest value in 6, -2183, -3599? -3599 Which is the smallest value? (a) 1 (b) 0.7 (c) -0.8 (d) -0.0485 c What is the sixth smallest value in 3, 0.2, -1, -19/13, 0.3, 3959, -1/2? 3 What is the fifth smallest value in -14, 9/5, 1/390, -2, -2/7, -62, 0.4? 1/390 Which is the fourth biggest value? (a) -32 (b) -54 (c) 0.1 (d) 2/5 (e) -2/19 a What is the sixth smallest value in -5, -67, -0.187, 0.27, 8, -0.3? 8 What is the smallest value in -2, -722, 75.3? -722 What is the seventh biggest value in -1, -7/6, 2/9, 0.1, 2/3, 5, 0.046049? -7/6 Which is the second biggest value? (a) 164 (b) -4 (c) 0.4 (d) -119625 (e) 0.1 c Which is the fifth smallest value? (a) 2/159 (b) -44 (c) 2.5 (d) 4 (e) -4 d What is the third smallest value in -2, -43, 21670, -1/2? -1/2 Which is the fourth smallest value? (a) 4 (b) -851.896 (c) -7 (d) -1 a Which is the sixth smallest value? (a) -2 (b) 2 (c) -1872 (d) 0.7 (e) 2/11 (f) 5 f What is the third biggest value in -0.02, -2/5, -1/154680? -2/5 What is the smallest value in 0, 2/5, 2052, -0.2, -9/7, 1? -9/7 What is the third smallest value in 7902, 2, -37/16? 7902 Which is the biggest value? (a) 124 (b) -3 (c) -50 (d) -2/17 (e) -2/7 (f) 16 a Which is the third biggest value? (a) -2 (b) 0.02 (c) 9 (d) 4/7 (e) -727 b What is the fourth smallest value in 2/7, -2/5, -1121, 0, 2, 0.978? 2/7 What is the fourth smallest value in 20, 289, 0, -1/3, 5? 20 Which is the second smallest value? (a) -30 (b) 18 (c) 14333 b Which is the fourth biggest value? (a) -3 (b) 0 (c) 124 (d) 323081 a What is the second smallest value in -7, -756, -0.2, -4, 4, -238? -238 Which is the fifth smallest value? (a) 0.13 (b) 536 (c) 5 (d) -20 (e) -1 b Which is the second smallest value? (a) 7 (b) 270988 (c) 0.44 a What is the sixth biggest value in 1, -2/3, -22, -1671.6, 1/5, 2, -5? -22 Which is the second biggest value? (a) -3 (b) -1.5 (c) 252559 (d) -4/3 d What is the second smallest value in -119, -861, -73? -119 What is the fourth biggest value in 2/5, -2, 0.8, 5, 10.3, 0.2? 2/5 What is the fifth smallest value in -2, -0.067, -6, -60/29, -4, -3? -2 What is the third biggest value in -1, -1.9, -2/11, 35.5886, 4, 0.1? 0.1
{ "pile_set_name": "DM Mathematics" }
e 59*u - 56*u + s - 94 = 0, 0 = -5*u + 2*s + 142. Calculate the lowest common multiple of 165 and u. 330 Let k be 2/(-8)*-10*2. Suppose -k*p + 36 = -29. What is the lowest common multiple of -5*(-77)/140*4 and p? 143 Let h = -12 + 15. Suppose -w + 2*k = -5*w + 48, 0 = -h*w + 2*k + 29. What is the common denominator of w and 23/5? 5 Let d be (-3)/15 - (-578412)/(-80). Let u = 7227 + d. What is the common denominator of -7/18 and u? 180 Let t be 3*2/(-3) - -5. Let r(z) = 3*z - 4. Suppose 1687*s = 1695*s - 24. What is the smallest common multiple of s and r(t)? 15 Let z be ((-6)/(-4))/((-2)/162). Let n = -172 - z. Let j = 149/11 + -2039/88. What is the common denominator of j and n? 8 Let m be 2/(-6) + (-175)/15. Let c = 22 + m. Let s(j) = -j - 14. What is the least common multiple of c and s(-19)? 10 Let k be (-650)/(-30)*(-222)/4. Let a = k + 21719/18. What is the common denominator of a and 11/5? 45 Let k be (7/(-14))/(1/(-18)). Suppose -8 = -d + k. Let g = d - 10. What is the lowest common multiple of 4 and g? 28 Suppose 3*u = -4*w + 4, -4*u + 2*w = 5*w - 10. What is the smallest common multiple of 426 and u? 852 Suppose -2*f - n + 11 = 0, 3 = -4*f + 2*n + n. Suppose -2*h + 0*h = -8. Suppose -3*k + 5 = -b, -f + 1 = k - h*b. What is the least common multiple of 5 and k? 10 Let x = 5387 - 32209/6. Let k = 1013311/44 - 23031. Find the common denominator of k and x. 132 Let r = 113165/6 + -18817. Let j = 419/12 - r. Find the common denominator of 49/15 and j. 60 Let o(w) = 2*w**3 + 55*w**2 + 29*w + 58. Let h = 29 + -21. What is the lowest common multiple of h and o(-27)? 8 Suppose -l - 3*u + 10 = -28, -3*l + 5*u = -142. Calculate the lowest common multiple of l and 116. 1276 Let y = 40 - 41. What is the common denominator of 27/5 and 111/10 - (-2 - y)? 10 Let o(l) be the first derivative of l**4/4 + 2*l**3/3 - 3*l**2/2 - 3*l + 11. What is the smallest common multiple of o(-2) and 9? 9 Let c = 47489/10 - 4743. Let z be -62 + 5/(15/9). What is the common denominator of c and (z/5)/(24/60)? 10 Let g = -11/1129 - 917855/2258. Let y = -417 - g. Calculate the common denominator of y and (-5)/3*81/(-102). 34 Suppose 8 = -3*a + 2. Let y be 3/a*(-76256)/(-48). Let q = y + 23869/10. Find the common denominator of q and 85/14. 70 Let p(k) = -k**3 + 18*k**2 + 22*k. Let z be p(19). Suppose z - 7 = 5*y. Calculate the lowest common multiple of 2 and y. 10 Let z = 11 - -1. Suppose -5*t + k = 5*k - 27, t = 2*k - 3. Suppose r - 18 = -o - 6, 0 = -t*r - 4*o + 34. What is the smallest common multiple of r and z? 84 Suppose 2*a + 97 = 2*k + 7*a, -21 = -k + 3*a. Let f(j) = -29*j. Let r be f(16). Calculate the common denominator of k and (9/(-24))/(108/r). 18 Find the common denominator of -47/21 and (3 - (-6)/(-4))*(-62)/6. 42 Let k = -3050 + 18229/6. Find the common denominator of 11/54 and k. 54 Suppose -6*o + 32 = -2*o. Let a = 0 - 2. Let k = a + o. Calculate the lowest common multiple of 18 and k. 18 Let n = 2046 - 2022. What is the least common multiple of 9 and n? 72 Let t = 222 - 220. Calculate the lowest common multiple of t and 108. 108 Let s = 2/721 + -32453/2884. Let l = s + 11. What is the common denominator of l and 151/6? 12 Suppose 20*t - 141 - 159 = 0. Calculate the least common multiple of t and 175. 525 Let r be 34/17 - (161911 - 0). Let k be r/(-99)*(-2)/(-2). Let a = k - 1638. Find the common denominator of a and -26/11. 99 What is the common denominator of -49/340 and (1179/48)/((-18)/(-8))? 1020 Suppose 2*g - 27 = -t + 11, 100 = 5*g + 5*t. What is the least common multiple of g and 134? 1206 Let g be ((-7)/(-21))/((-1)/7547). Let n = g - -10017/4. What is the common denominator of n and (-6)/(-10)*140/15? 60 Let u = 57 + -27. Let l(o) = -o**3 - o**2 + 35*o + 44. Calculate the least common multiple of u and l(6). 30 What is the common denominator of -93/10 and (1/1)/((-11)/462)? 10 Suppose 36 = 15*c - 13*c. Calculate the lowest common multiple of 18 and c. 18 Let w(d) = -12*d**3 + d**2 - 2*d - 7. Let y be w(-3). Calculate the common denominator of -133/6 and (0 - 3/(-18))*y/(-8). 12 Let v = 204 - 1838/9. Let n = 49769/12 - 4145. Find the common denominator of v and n. 36 Let n(l) = 3*l + 7. Let a(v) = v + 3. Let z(q) = -5*a(q) + 3*n(q). Let x = -4 - -13. Calculate the lowest common multiple of z(3) and x. 18 Let l(b) = b**3 + 4*b**2 - 2*b - 1. Suppose -h = 3*q - 6, 2*h + q + 6 = 3. Calculate the lowest common multiple of 22 and l(h). 154 Suppose 2*o + m - 6*m - 97 = 0, -5*m = 2*o - 107. Let p = o - 31. What is the least common multiple of 6 and p? 60 Suppose 243 = 3*h + g, 3*h - 243 = 5*g - 7*g. Suppose 4*i - 3*v - 108 = -2*v, 0 = -3*i + 3*v + h. What is the lowest common multiple of 3 and i? 27 Let l = 24 - 4. Calculate the common denominator of 22/l - 6/3 and (2/66)/(49/(-3381)). 110 Let l = 626 + -2525/4. Suppose 5*y + 605 + 525 = 0. Find the common denominator of l and (y/(-16))/(15/(-12)). 20 Let z = 134 + -110. Calculate the least common multiple of 80 and z. 240 Suppose 12 = -3*p, -5*b + 3*p - 2*p - 236 = 0. Calculate the lowest common multiple of 8*(90/b - -2) and 9. 9 Calculate the common denominator of (1 - (-21)/36)/(374/476) and 31/18. 198 Let p = 2561/60 + -228/5. Calculate the common denominator of -7/60 and p. 60 Suppose -2*u = 8*p - 5*p - 4, -5*p = 5*u - 10. Let l be ((3/1)/3)/1. Let z(v) = 8*v**2 + v - 1. What is the lowest common multiple of z(l) and u? 8 Let a = 772 - 5403/7. Calculate the common denominator of a and (-1 - 115/14) + 1. 14 What is the lowest common multiple of (-1)/7 + 100624/532 and 231? 2079 Suppose -n - 96 = -4*n. Calculate the common denominator of n and (-200)/22 - ((-39)/(-26))/(6/(-28)). 11 Suppose 2*y = y + 4. Let d be 4 - 7 - (-1 - y). Calculate the least common multiple of 16 and -36*(d/4 + -1). 144 Let g = -1147/22 + 42809/825. What is the common denominator of g and -59/100? 300 What is the lowest common multiple of (6 - (-2 + 4)) + 0 and (-8 - -4)*-5 - 0? 20 Suppose -2656 = -15*o - 406. Calculate the lowest common multiple of o and 30. 150 Suppose 0 = 2*m + 2*a - a - 12, -4*m = 5*a - 24. Calculate the least common multiple of (-24)/2*5/(-5) and m. 12 Let w = -35 + 29. Find the common denominator of -53/14 and (1/w)/(4/(-213)). 56 What is the common denominator of -21/10 and (-7996)/(-3296) + -4 - 3/(-2)? 4120 Let y = 31255/9 - 3477. What is the common denominator of y and 20/57? 171 Let w be 28225/(-150) - (-8)/(-6). Let i = w + 179. What is the common denominator of 51/10 and i? 10 Let k = -1315 + 1463. Calculate the smallest common multiple of k and 16. 592 Suppose r = -4*j + 7412, 2*j + j + 4*r - 5546 = 0. Let a = j - 61190/33. Find the common denominator of 74/15 and a. 165 Let k = -18 - -2. Let t = 27 + k. Calculate the smallest common multiple of 1 and t. 11 Suppose -133 = 23*b - 4*b. Let g = b + 9. Let x = 1 + 3. Calculate the smallest common multiple of g and x. 4 Let c = 8 - 5. Suppose 0 = -3*w + 12, 5*z - c*w + w - 12 = 0. What is the smallest common multiple of z and ((-15)/9 + 3)*6? 8 Suppose 3*a - 180 = -0*a. Calculate the smallest common multiple of 2 and a. 60 Let h(x) = -17*x - 6 + 0*x - 3*x - 2. Calculate the lowest common multiple of h(-1) and 33. 132 Suppose 2*f - q - 86 = 0, 4*f - 4*q + 3*q - 170 = 0. What is the least common multiple of f and 84? 84 What is the common denominator of -93/20 and 8/(-3) + 0 + (-3290)/(-3360)? 80 Calculate the lowest common multiple of 9 and 16/(-6 + 2 + 5) - 1. 45 Suppose -3*b + 7 + 2 = 0. Suppose b*f + 175 = 4*i - 0*f, i = 4*f + 60. What is the least common multiple of 18 and i? 360 Let d = -65 + 41. Find the common denominator of -71/20 and 44/11 + (-35)/d. 120 Let r = 739433/30 + -24643. What is the common denominator of r and 3131/62 - (3 - -2)? 30 Suppose -13 = g - 2*m + 3, g - 3*m = -17. Let x be (-7)/(0 - (3 - (-64)/(-22))). Calculate the lowest common multiple of 55/x + (-4)/g and 9. 9 Let g = -756 - -762. What is the lowest common multiple of 135 and g? 270 Calculate the smallest common multiple of 41 and (19 + -22)*4/(-3). 164 Let t = 269 + -251. Calculate the smallest common multiple of 66 and t. 198 Let j(s) = s**2 - 18*s + 1. Suppose -3*r - 2*m = -6*m - 37, -r + 2*m + 11 = 0. Let c be j(r). Calculate the common denominator of (c/(-5
{ "pile_set_name": "DM Mathematics" }
t d(z) = 543*z - 136. Let l be d(-22). Let q = l - -43851. Is q composite? False Is (144550 + 47)/(4 - 1) composite? True Let o = -80 + 82. Suppose j = -4*b + 4234, o*b + b = -j + 3175. Is b a composite number? True Let s be (-1992)/(18/12*1). Let f = -787 - s. Is f a prime number? True Let a be (-56)/21*36/(-16). Suppose -a*k + 7*k = 2293. Is k a prime number? True Is (-4)/(-3) + (-1254)/(-342) - -91488 a prime number? True Let f = -502 + 801. Let y = -126 + f. Suppose 0 = 4*j - y - 39. Is j prime? True Suppose 6174 = -1134*v + 1141*v. Suppose 5*y - 5*s = 6595, 0 = y - 3*y - 3*s + 2623. Suppose w = -r + 4*r - y, 2*r = -4*w + v. Is r a prime number? True Is 23/4*(-2406400)/(-282) + 4/(-6) composite? True Let p(t) = -t**3 - 5*t**2 + 3. Let m be p(-5). Suppose -5*i = -m*i. Suppose 3*o - y + 9462 = 6*o, i = 5*o + 4*y - 15763. Is o a composite number? True Let b(p) = -91*p + 14. Suppose 4*y + 4*m + 17 = -3, m = -4*y - 23. Let q be 6*15/y*1. Is b(q) composite? True Let m(d) = -986*d**3 + 2*d**2 + d + 2. Let s be m(-2). Let w be (-2)/(-1) + 28/14. Suppose 0 = -3*i + w*x + s - 2509, x = -i + 1805. Is i composite? False Suppose 5*f - 20347 - 4780 = -2*v, 0 = -5*v + 3*f + 62771. Suppose 22*i + 8329 = 2*o + 27*i, -3*o + 5*i = -v. Is o prime? True Let l be (6 - 5)*0/(-2 - 1). Suppose l = -2*j + 2*f + 3*f - 834, 3*f = 3*j + 1233. Let s = j - -1462. Is s prime? False Let x(y) = -22643*y - 5439. Is x(-26) a prime number? True Suppose 5*t - 12*t + 84 = 0. Is (-88)/t*(-642)/4 a composite number? True Let n(y) = 13*y**3 - 33*y**2 + 18*y + 131. Is n(18) a composite number? False Suppose 3*t = -2*y + 24461, 8163 = 5*t - 4*t - 4*y. Suppose x - 3*f = t, x - 3526 = f + 4633. Is x composite? False Suppose b + 4*z - 17 + 0 = 0, -54 = -2*b + 2*z. Is -5*(5 + (-90745)/b) + -5 composite? False Let g = -191 - -189. Is (-13)/((-429)/(-25355))*6/g composite? True Suppose 5*u + 11 - 109 = -2*n, 0 = -3*n - 3. Is -5 + 54516/15 - 8/u a prime number? False Suppose -3*b - 12 = 0, 3*b = -806*y + 804*y - 138. Let i be (64/(-6))/((-3)/45). Let o = y + i. Is o prime? True Let j(a) = -35*a - 57. Let w be j(-32). Suppose 2352 + w = 5*x. Is x a prime number? True Let y(n) = 6*n - 4. Let s(c) = c**3 - 15*c**2 + 2*c - 29. Let p be s(15). Let r be y(p). Suppose 5*i = z + 639, 4*i - 504 = -r*z + z. Is i composite? False Suppose 10825*j = 10835*j - 3382310. Is j a prime number? True Let f be ((-31)/2)/(269555/(-44924) - -6). Suppose -f - 8222 = -4*n. Is n composite? False Suppose 21*t - 14*t - 97468 = 0. Suppose t + 8883 = j. Is j prime? True Suppose -4*x + 202401 = u, -5*u + 5*x - 261142 = -1273197. Is u composite? False Suppose -179*m + 23817627 = -15791672. Is m a composite number? False Suppose 327*d + 49114863 = 354*d. Is d prime? False Let f = 28672 - 6095. Is f a prime number? False Let x be (1 + 2 - 3) + 2 + 18. Suppose 0 = -10*a + 5*a + x. Suppose -3*l - 82 = -a*l + 5*d, 0 = 4*l + 2*d - 306. Is l a composite number? True Let t = 26796 + -4747. Is t composite? True Suppose -29*x = -21*x + 72. Is 84/8*3/x*-914 prime? False Suppose 23*m - 30*m = -38164. Let h = m - 1128. Suppose -28*y = -24*y - h. Is y prime? False Suppose -13*w + 25640777 = -11954274. Is w composite? False Let g(n) = -5467*n + 9128. Is g(-33) composite? True Suppose 9*t - 5*m + 385772 = 13*t, t + 4*m = 96443. Is t prime? True Suppose 18*a = 41*a - 46. Suppose 5*s = -4*l + 1335 + 10492, -3*l = -a*s - 8853. Is l a prime number? True Let z = -161 - -166. Suppose 21873 = z*x + 4*u, -4*x + u + 0*u = -17490. Is x a composite number? False Let p(n) = -n**3 - 2*n**2 - 5*n - 4. Let j be p(-3). Suppose 0 = 8*v + 2*v - j. Is 124/(-12)*-9 - v composite? True Suppose 4*t - 1 + 17 = 0. Let b(g) = 117*g**2 - 11*g - 15. Is b(t) prime? True Let l be (18/30 - 0)*4870. Is (-34)/51*l/(-4) prime? True Let b be ((-96)/(-72))/(4/32709). Suppose -4*k = -3*q + 6553, 0 = 5*q + 6*k - 8*k - b. Is q a composite number? False Let t(x) = 18*x**2 + 67*x - 53. Is t(-12) composite? True Suppose 2*x - 9 = -21. Let t(i) = -3*i - 15. Let h be t(x). Suppose h*m = -2*m + 4*z + 6475, 2557 = 2*m + 5*z. Is m composite? False Let w = 83590 - -1048591. Is w composite? True Suppose 5*y = 5*i + 15, -27 = -i + 4*y - 9*y. Suppose 5*m + 475 = 4*v, i*v - m = -3*v + 578. Is v prime? False Let g(x) = -10477*x - 2. Let w be g(-1). Suppose -13*t = -w - 30267. Is t a prime number? False Suppose d + 7*f = 24, -5*d + d - 4*f = 0. Let o = 1533 - -1313. Is o + (2/d)/(1/6) a composite number? False Is (-1067425)/(-15) - 4/(-36)*-6 composite? False Let d(h) = 5*h - 19. Let q be d(8). Let s(m) = -9*m**2 + 12*m**3 - 13*m**2 + q*m + 7*m**3 - 18*m**3 + 7. Is s(21) a composite number? False Suppose 0 = -3*m + 5*f + 138466, 2*f - 138191 - 92596 = -5*m. Is m a prime number? False Let v(t) = 639*t - 134. Let i be v(12). Let l = i - 5285. Is l a composite number? True Let b(n) = 70*n + 56. Let m be b(27). Suppose -5*r - m = -5*j - 386, 0 = -5*r + 10. Is j composite? True Suppose 0 = -4*l + 2*d + 88, -5*l = -0*d - 3*d - 108. Let h(s) = -s**3 + 3*s - l - 1 + 18*s**2 + 12*s. Is h(17) a composite number? True Suppose 171 = 9*v - 387. Let h = -60 + v. Is h + (736 - (3 - 1)/(-2)) a prime number? True Let m = 7530 - 7535. Let q(j) = 7*j**3 + 2*j**2 - 2*j + 10. Let u be q(-7). Is -3 - (m + -4 + u) a prime number? False Is ((-17)/153)/(5/(-538155)) a prime number? True Is (-1067445)/(-33) + (-7 - 1 - 1350/(-165)) composite? True Let g be (5 - 538/(-8))/(4/64). Suppose 3*b + g = 7765. Is b composite? False Suppose -15 = -7*j + 6. Suppose j*z + 42 = 5*z. Is (2 + -48)*z/(-6) a composite number? True Is 2591852/8 + (-18)/(-12) prime? False Let l be 6/14 - 50/(-14). Suppose -n = -5*m + m + 3146, -3156 = -l*m - 4*n. Is m a prime number? True Let q(a) = 775*a**3 + 5*a - 3*a + 2*a. Let j be q(2). Suppose -2*z + j - 386 = 0. Is z a prime number? False Let f = -71329 + 138720. Is f a composite number? False Let i(j) = j**3 - 5*j**2 - 2*j + 16. Let c be i(8). Let l = -136 + c. Let y = l + 13. Is y a composite number? True Suppose 4*d + 2*w - 29921 = d, -2*d + 2*w + 19974 = 0. Is d composite? True Suppose 25*v = 30*v - 25. Suppose 3*w + 0*y + 6 = -3*y, v*y = -20. Suppose -g = -4*l - w*g + 739, -5*l = -5*g - 930. Is l a prime number? False Suppose -1728582 = -3*y - 76*j + 77*j, -3*j + 2880956 = 5*y. Is y a composite number? False Let d(r) = 46*r**2 + 11*r + 32. Let h be d(11). Let v = -2570 + h. Is v a composite number? True Let h = 2 + 2. Suppose -5*g = -h*z - 4445, 889 = -0*g + g - 4*z. Let o = g + -536. Is o composite? False Let q = -461 + 471. Suppose q*h = 11716 + 5694. Is h composite? False Let m(w) = 16*w**2 - 7*w. Let t be m(6). Suppose -459*k + 8711 = -490*k. Let o = k + t. Is o a composite number? True Let z(a) = 33*a**2 + 30*a**2 + 139 - 11*a - 93*a**2 + 56*a**2. Is z(16) a prime number? True Let v(m) = 92*m**2 - 4*m + 4. Let i be v(1). Let u = 600 + i. Suppose u = t + t. Is t a prime number? False Let p(v) = -72*v + 17. Let s(r) = -r - 7 - 7 - 2*r - 5*r - r**2. Let f be s(-7). Is p(f) a prime number? True Suppose -4*w + 4*y = -0*y - 20, -5 = w + 4*y. Suppose 2*f = -x + 7, -4*x - 5 - w = 2*f. Suppose -1971 = -f*d - 3*d. Is d a composite number? True Let l(x) = 9 + 11*x - 30 - 18. Let o be (176/(-64))/(2/(-8)). Is l(o) a prime number? False Let b(f) = -f**3 - 10*f**2 - 8*f + 6. Let h be b(-4). Let d = h - -63. Suppose 195 = d*s - 100. Is s a prime number? True Let l(r) = 9*r + 11. Let y(i) = 10*i + 12. Let t(n) = -6*l(n) + 5*y(n). Let c be t(-2). Suppose -417 = -b + c*v, 1249 = 3*b - 3*v - 2*v. Is b a prime number? False Let h be (918 + -4)/(2/3). Suppose 2*a + 3*a = 3410. Let z = h - a. Is z prime? False Suppose 5*s + 5*v - 489884 = 754146, -3*s + 7*v = -746428. Is s composite? True Is 2/(-2)*-62438*(-42)/(-12) a prime number? False Suppose -2*s = -4*s + 30. Suppose -9*q + 95208 = s*q. Is q prime? True Let y = -264 - -264. Let i(x) = -11*x + 2887. Is i(y) prime? True Suppose 4*r = -p + 38039, r = 5 - 4. Is p a prime number? False Is (-24 - -34) + (-4)/(16/(-990804)) composite? False Let k(v) = -v + 2. Let q be k(-1). Let i be q/12*65417 - (-2)/(-8). Suppose -4*a - 5*x = -i, 0*a = 2*a - 3*x - 8188. Is a a composite number? False Let l be 16*1 + 11 + -15. Is (-9)/l + 1 + 20654/8 a prime number?
{ "pile_set_name": "DM Mathematics" }
fourth root of 28278 to the nearest integer? 13 What is the square root of 122197 to the nearest integer? 350 What is the cube root of 14431 to the nearest integer? 24 What is 1205 to the power of 1/2, to the nearest integer? 35 What is the seventh root of 5132 to the nearest integer? 3 What is 2402 to the power of 1/2, to the nearest integer? 49 What is 282 to the power of 1/2, to the nearest integer? 17 What is the third root of 71178 to the nearest integer? 41 What is the third root of 4246 to the nearest integer? 16 What is the cube root of 3159 to the nearest integer? 15 What is 31906 to the power of 1/2, to the nearest integer? 179 What is 2735 to the power of 1/6, to the nearest integer? 4 What is the cube root of 336 to the nearest integer? 7 What is 507 to the power of 1/10, to the nearest integer? 2 What is 5033 to the power of 1/10, to the nearest integer? 2 What is 1835 to the power of 1/2, to the nearest integer? 43 What is 5220 to the power of 1/5, to the nearest integer? 6 What is 6070 to the power of 1/7, to the nearest integer? 3 What is the square root of 1663 to the nearest integer? 41 What is 2686 to the power of 1/2, to the nearest integer? 52 What is 38405 to the power of 1/4, to the nearest integer? 14 What is the fifth root of 23473 to the nearest integer? 7 What is 46645 to the power of 1/8, to the nearest integer? 4 What is 30581 to the power of 1/2, to the nearest integer? 175 What is the sixth root of 31473 to the nearest integer? 6 What is 1390 to the power of 1/6, to the nearest integer? 3 What is the square root of 68 to the nearest integer? 8 What is 2572 to the power of 1/3, to the nearest integer? 14 What is the cube root of 1187 to the nearest integer? 11 What is the third root of 3419 to the nearest integer? 15 What is 589 to the power of 1/3, to the nearest integer? 8 What is the square root of 301 to the nearest integer? 17 What is the square root of 2364 to the nearest integer? 49 What is 72979 to the power of 1/4, to the nearest integer? 16 What is the square root of 3496 to the nearest integer? 59 What is the square root of 3927 to the nearest integer? 63 What is 6178 to the power of 1/8, to the nearest integer? 3 What is the square root of 13479 to the nearest integer? 116 What is the cube root of 1435 to the nearest integer? 11 What is 686 to the power of 1/2, to the nearest integer? 26 What is the square root of 31099 to the nearest integer? 176 What is the square root of 2143 to the nearest integer? 46 What is 1755 to the power of 1/5, to the nearest integer? 4 What is the square root of 14342 to the nearest integer? 120 What is the third root of 389 to the nearest integer? 7 What is the cube root of 46861 to the nearest integer? 36 What is the square root of 348 to the nearest integer? 19 What is the seventh root of 14472 to the nearest integer? 4 What is 1622 to the power of 1/3, to the nearest integer? 12 What is the third root of 11152 to the nearest integer? 22 What is the third root of 99 to the nearest integer? 5 What is the third root of 408 to the nearest integer? 7 What is 144610 to the power of 1/2, to the nearest integer? 380 What is the third root of 1339 to the nearest integer? 11 What is the cube root of 4501 to the nearest integer? 17 What is the square root of 27023 to the nearest integer? 164 What is 25571 to the power of 1/3, to the nearest integer? 29 What is the cube root of 924 to the nearest integer? 10 What is the third root of 3296 to the nearest integer? 15 What is 7408 to the power of 1/2, to the nearest integer? 86 What is the square root of 4505 to the nearest integer? 67 What is 2345 to the power of 1/2, to the nearest integer? 48 What is 215 to the power of 1/8, to the nearest integer? 2 What is the cube root of 5476 to the nearest integer? 18 What is 502 to the power of 1/9, to the nearest integer? 2 What is 357 to the power of 1/2, to the nearest integer? 19 What is the sixth root of 25344 to the nearest integer? 5 What is the square root of 22711 to the nearest integer? 151 What is the fourth root of 165400 to the nearest integer? 20 What is the cube root of 1999 to the nearest integer? 13 What is the third root of 1583 to the nearest integer? 12 What is 660 to the power of 1/3, to the nearest integer? 9 What is the square root of 25042 to the nearest integer? 158 What is the cube root of 5 to the nearest integer? 2 What is 109511 to the power of 1/2, to the nearest integer? 331 What is 2200 to the power of 1/2, to the nearest integer? 47 What is 20321 to the power of 1/3, to the nearest integer? 27 What is the fourth root of 3598 to the nearest integer? 8 What is 20117 to the power of 1/3, to the nearest integer? 27 What is the square root of 1510 to the nearest integer? 39 What is 6966 to the power of 1/8, to the nearest integer? 3 What is the tenth root of 59448 to the nearest integer? 3 What is the eighth root of 3196 to the nearest integer? 3 What is the square root of 1056 to the nearest integer? 32 What is 1190 to the power of 1/2, to the nearest integer? 34 What is 2483 to the power of 1/3, to the nearest integer? 14 What is 104977 to the power of 1/3, to the nearest integer? 47 What is 1478 to the power of 1/2, to the nearest integer? 38 What is 46322 to the power of 1/9, to the nearest integer? 3 What is the square root of 2205 to the nearest integer? 47 What is the fourth root of 103127 to the nearest integer? 18 What is 8925 to the power of 1/9, to the nearest integer? 3 What is 1206 to the power of 1/10, to the nearest integer? 2 What is the cube root of 81692 to the nearest integer? 43 What is the third root of 4114 to the nearest integer? 16 What is 4002 to the power of 1/4, to the nearest integer? 8 What is the square root of 77864 to the nearest integer? 279 What is the third root of 21874 to the nearest integer? 28 What is 41429 to the power of 1/7, to the nearest integer? 5 What is the fifth root of 1246 to the nearest integer? 4 What is the square root of 12043 to the nearest integer? 110 What is the square root of 273 to the nearest integer? 17 What is 9585 to the power of 1/3, to the nearest integer? 21 What is 58234 to the power of 1/8, to the nearest integer? 4 What is 2543 to the power of 1/3, to the nearest integer? 14 What is the third root of 3990 to the nearest integer? 16 What is 3973 to the power of 1/2, to the nearest integer? 63 What is the third root of 26286 to the nearest integer? 30 What is the square root of 5805 to the nearest integer? 76 What is the cube root of 1256 to the nearest integer? 11 What is the eighth root of 251 to the nearest integer? 2 What is the cube root of 35261 to the nearest integer? 33 What is 37895 to the power of 1/2, to the nearest integer? 195 What is the square root of 2617 to the nearest integer? 51 What is the fourth root of 25196 to the nearest integer? 13 What is 3262 to the power of 1/9, to the nearest integer? 2 What is 4825 to the power of 1/2, to the nearest integer? 69 What is 23111 to the power of 1/3, to the nearest integer? 28 What is the eighth root of 22972 to the nearest integer? 4 What is 192 to the power of 1/5, to the nearest integer? 3 What is 5907 to the power of 1/8, to the nearest integer? 3 What is 14676 to the power of 1/5, to the nearest integer? 7 What is the square root of 673 to the nearest integer? 26 What is the seventh root of 1018 to the nearest integer? 3 What is 35888 to the power of 1/3, to the nearest integer? 33 What is 2292 to the power of 1/3, to the nearest integer? 13 What is the seventh root of 247 to the nearest integer? 2 What is 662 to the power of 1/6, to the nearest integer? 3 What is 5210 to the power of 1/3, to the nearest integer? 17 What is 44 to the power of 1/2, to the nearest integer? 7 What is the tenth root of 12024 to the nearest integer? 3 What is the square root of 169 to the nearest integer? 13 What is 22039 to the power of 1/5, to the nearest integer? 7 What is 10688 to the power of 1/3, to the nearest integer? 22 What is 7925 to the power of 1/2, to the nearest integer? 89 What is the third root of 536 to the nearest integer? 8 What is the cube root of 86880 to the nearest integer? 44 What is the square root of 79262 to the nearest in
{ "pile_set_name": "DM Mathematics" }
Which is the second biggest value? (a) 10 (b) 5 (c) 0.3 (d) -1 b What is the third smallest value in 5, 2/3, 4401/7? 4401/7 What is the smallest value in 1/6, -4/5, -0.2, 0.3, 1/10? -4/5 Which is the second smallest value? (a) 10 (b) -0.2 (c) 3 (d) 0.07 d Which is the smallest value? (a) -2 (b) 1 (c) -0.1 (d) -14 d What is the third biggest value in 2, -1, -0.4, 5, 4? 2 What is the smallest value in 1, -4/5, -24, -2/7? -24 Which is the third smallest value? (a) -0.5 (b) 2/5 (c) 0.3 (d) -0.02 c What is the third biggest value in 4, -6, -3/2, -1/9, 0? -1/9 What is the third biggest value in 2/11, -0.6, 2/147? -0.6 Which is the third smallest value? (a) 4 (b) -0.3 (c) 6 (d) -5/4 a Which is the fourth biggest value? (a) -1/3 (b) 1/5 (c) -0.1 (d) -3.5 d What is the third smallest value in -2/5, 4, -3/40? 4 What is the third biggest value in 1, -111/2, -0.2? -111/2 Which is the third biggest value? (a) 0 (b) 4 (c) -1971 c Which is the third biggest value? (a) -8/7 (b) 0.02 (c) -25 c Which is the smallest value? (a) -4 (b) -2/7 (c) -3 a Which is the smallest value? (a) -1 (b) -1/43 (c) -0.2 (d) 4 (e) -0.5 a What is the third biggest value in -5, 0.082, 0.3? -5 What is the fourth smallest value in 4, -3, 5/23, 3, 0.3? 3 Which is the biggest value? (a) -6 (b) -61 (c) -2/11 c Which is the second biggest value? (a) -1/2 (b) 0.5 (c) -1/4 (d) 9 b What is the second smallest value in 3/5, -493, -0.4? -0.4 What is the biggest value in -1/4, -1637, 5? 5 What is the fourth smallest value in 2/3, 5, 6/5, -0.3? 5 Which is the fourth smallest value? (a) 1154/9 (b) 4 (c) 3 (d) -5 a What is the biggest value in 2/5, -1/4, -0.041? 2/5 What is the fifth smallest value in -2, 0.5, 0.3, 2/11, 1.9? 1.9 Which is the third biggest value? (a) 0.3 (b) 22 (c) 0.1 c Which is the fourth smallest value? (a) 0.598 (b) 2 (c) 2/3 (d) -2 b What is the third smallest value in 0.023, 0.5, -2/3? 0.5 Which is the third smallest value? (a) -0.5 (b) 1.7 (c) -2/7 b What is the fourth biggest value in 3/5, -3, 3, 4? -3 Which is the third smallest value? (a) -0.08 (b) 8 (c) 2 b Which is the third smallest value? (a) 0.4 (b) -4 (c) 230 c What is the second biggest value in 0, -3, 2, -2/21? 0 Which is the fourth biggest value? (a) -2 (b) -4 (c) 0 (d) -1/7 b What is the fifth smallest value in 1/249, -4, 1, -3, -2? 1 Which is the fourth smallest value? (a) 0.17 (b) 1/4 (c) -0.17 (d) -0.5 (e) 2 b Which is the second biggest value? (a) -5 (b) -8/13 (c) 4 (d) -3/2 b Which is the second biggest value? (a) 0 (b) 0.5 (c) 1 (d) 56 (e) 2 e What is the biggest value in -0.5, 0.34, 2/11? 0.34 Which is the second smallest value? (a) 5 (b) -16 (c) 2 (d) -4/3 d Which is the third biggest value? (a) -3 (b) -1/2 (c) 15 a What is the smallest value in 3, -1, 0.1, 618? -1 Which is the smallest value? (a) 1/10 (b) -5/2 (c) 2 (d) -5561 (e) 1 d Which is the third smallest value? (a) 3/2 (b) 2 (c) -5/3 (d) 8 b Which is the biggest value? (a) -2/5 (b) -0.004 (c) 2/3 (d) -0.25 c What is the second smallest value in -5, -5/2, -72? -5 Which is the fourth biggest value? (a) 1 (b) 9 (c) 3 (d) -2 d What is the fifth smallest value in 21.5, -4, 3, 0.3, 1? 21.5 What is the smallest value in 2/15, 4, -9, -1/7? -9 What is the third biggest value in 0.1, -2/11, 322/3? -2/11 Which is the second biggest value? (a) 50 (b) -8 (c) 2 (d) 5 d Which is the second biggest value? (a) -5 (b) -3 (c) 0.07 (d) -2/11 d Which is the smallest value? (a) 4/5 (b) -4 (c) 0.1 (d) -0.4 b Which is the biggest value? (a) 2 (b) 4 (c) -3 (d) 3.2 b What is the biggest value in -3, 0.2, 23? 23 Which is the third biggest value? (a) 13 (b) 0.2 (c) 0.4 b What is the third smallest value in 2/5, 5, 0.2, 0? 2/5 Which is the second smallest value? (a) -3.6 (b) 3 (c) 1.6 c Which is the third smallest value? (a) -3 (b) 0.4 (c) -1/32852 b Which is the biggest value? (a) 1.9 (b) 0 (c) 9 (d) -0.1 c What is the second smallest value in -0.1, 3, -27? -0.1 What is the fourth smallest value in 0.3, -320, -1, 1? 1 What is the biggest value in 29, 3/2, -0.015? 29 Which is the second biggest value? (a) 1/4 (b) 5 (c) 78 (d) 14 d Which is the biggest value? (a) 2 (b) 2/3 (c) 6 (d) -14 c What is the second smallest value in 4, -8/7, -3, 0.1? -8/7 Which is the third smallest value? (a) -2 (b) 2/23 (c) -11 (d) -1 (e) 24 d What is the fourth biggest value in -4/109, 2/5, -3, 3? -3 What is the second biggest value in -3, 41, -1? -1 Which is the fourth biggest value? (a) -23 (b) 3 (c) 0 (d) 3/7 a What is the third biggest value in -5, 14, -1/4? -5 What is the third smallest value in 0.3, 1, -3, -1? 0.3 What is the fourth smallest value in 1/3, -0.1, -2/7, 0.5? 0.5 What is the second smallest value in 2, -0.1, -127? -0.1 Which is the smallest value? (a) -2 (b) 0 (c) 3/7 a What is the fourth smallest value in 3, -4/7, 4, -1? 4 Which is the biggest value? (a) 2/7 (b) -2 (c) 0 (d) 18/65 (e) -3 a Which is the fourth biggest value? (a) 4/5 (b) 1/6 (c) -2/9 (d) -4 d Which is the biggest value? (a) 2 (b) -0.03 (c) -5/9 (d) 0.04 (e) 3 e Which is the second biggest value? (a) -0.3 (b) -3 (c) 69/8 (d) -1/6 d What is the fourth biggest value in -0.3, -9, -0.6, -5? -9 Which is the third biggest value? (a) 1.1 (b) -0.3 (c) 0 (d) 9 c Which is the second biggest value? (a) -1 (b) -5 (c) 3 a Which is the fourth smallest value? (a) -7 (b) 1 (c) 2/15 (d) -2 b Which is the third smallest value? (a) -0.1 (b) -9/22 (c) 0.4 c What is the biggest value in 2/29, 0.2, -4/11, 1? 1 What is the smallest value in -2/15, -0.96, 1? -0.96 Which is the biggest value? (a) 31 (b) -1 (c) 1/10 a Which is the smallest value? (a) 4001 (b) 2 (c) 0.3 c What is the third smallest value in 0.04, 4, 0, 7? 4 Which is the fifth smallest value? (a) -1/8 (b) -1 (c) -0.23 (d) 0 (e) 5 e What is the second biggest value in 317, -3/4, -1? -3/4 What is the third biggest value in -1/4, -2/9, 2, 1/4? -2/9 What is the third biggest value in 5, -85, 1? -85 What is the smallest value in 0.02, 4, 5, 0.2, -82? -82 Which is the third smallest value? (a) -20/13 (b) 2/7 (c) 0.2 (d) 1 b What is the biggest value in 5, -0.5, -2.3? 5 Which is the smallest value? (a) 7.21 (b) 4 (c) -0.3 c What is the second smallest value in -3, -0.2795, -2/9, 3? -0.2795 What is the second smallest value in 3/5, 0.03, 0, 5? 0.03 What is the third smallest value in -3, 0, -2/221, 4? 0 Which is the second biggest value? (a) 6 (b) -5 (c) -0.4 (d) 5 d Which is the second smallest value? (a) -83 (b) -2 (c) -3 c Which is the third smallest value? (a) -0.3 (b) 1.1 (c) 4/7 b What is the fourth biggest value in 2/3, -2/3, 1/6, 21, 2? 1/6 Which is the second smallest value? (a) 3/4 (b) -2 (c) 2/11 (d) -0.2 d Which is the third smallest value? (a) 2/5 (b) -2/9 (c) -0.31 a Which is the biggest value? (a) 0.4 (b) 4 (c) -134 (d) -5 b Which is the biggest value? (a) 1 (b) 5 (c) -4 (d) -2/13 b Which is the fourth biggest value? (a) -3/5 (b) 19 (c) 1 (d) 2 a Which is the third smallest value? (a) -4 (b) 12/7 (c) 1 b What is the fifth smallest value in 0.4, 0.3, -5, -1/3, 4/23? 0.4 What is the biggest value in -2, -1/5, -2/3, -1/18? -1/18 Which is the smallest value? (a) 4 (b) 12 (c) -2 (d) 0 c Which is the fourth biggest value? (a) 263 (b) 2/23 (c) -0.2 (d) -5 (e) 0 c Which is the third biggest value? (a) 1/2 (b) 2/15 (c) -16 (d) -2/5 d What is the fourth smallest value in 2/177, -1/4, -5, -0.3? 2/177 What is the biggest value in -10, 1/6, -2, 5? 5 Which is the third smallest value? (a) 13 (b) 1 (c) 3/4 (d) -3 b Which is the second biggest value? (a) -1/3 (b) -86 (c) 0.5 (d) -0.3 d What is the smallest value in 8/57, -2/3, -1/6, 0.4, 2/11? -2/3 What is the third biggest value in 0.4, 1/3, -0.125? -0.125 Which is the second biggest value? (a) 9 (b) 0.5 (c) -1 b Which is the second smallest value? (a) -2/13 (b) 251 (c) 4/7 (d) 0.3 d Which is the second biggest value? (a) 1/86 (b) -4 (c) 0.2 a Which is the smallest value? (a) -3 (b) 5 (c) 4 (d) 0 a Which is the smallest value? (a) -1/511 (b) 5 (c) 1/2 a W
{ "pile_set_name": "DM Mathematics" }
, 84, 121, 194, 315, 496? 2*l**3 - l + 70 What is the n'th term of -53, -56, -59? -3*n - 50 What is the s'th term of 24, -83, -360, -891, -1760, -3051, -4848, -7235? -14*s**3 - s**2 - 6*s + 45 What is the c'th term of 20, 23, 28, 35, 44, 55? c**2 + 19 What is the g'th term of -324, -305, -250, -141, 40, 311, 690? 3*g**3 - 2*g - 325 What is the s'th term of -83, -160, -237? -77*s - 6 What is the l'th term of -24, -44, -80, -138, -224? -l**3 - 2*l**2 - 7*l - 14 What is the g'th term of 1249, 2495, 3741, 4987, 6233? 1246*g + 3 What is the w'th term of 25, 51, 75, 97, 117? -w**2 + 29*w - 3 What is the r'th term of 239, 480, 711, 926, 1119, 1284, 1415? -r**3 + r**2 + 245*r - 6 What is the v'th term of 48, 398, 1348, 3198, 6248? 50*v**3 - 2 What is the n'th term of 455, 459, 463, 467? 4*n + 451 What is the z'th term of -24, -27, -46, -87, -156, -259? -z**3 - 2*z**2 + 10*z - 31 What is the x'th term of 12, 28, 52, 84, 124? 4*x**2 + 4*x + 4 What is the h'th term of -4, -2, 8, 32, 76, 146? h**3 - 2*h**2 + h - 4 What is the f'th term of 5, 65, 171, 323? 23*f**2 - 9*f - 9 What is the g'th term of -148, -291, -432, -571, -708? g**2 - 146*g - 3 What is the x'th term of -72, -176, -350, -594? -35*x**2 + x - 38 What is the h'th term of -100, -170, -252, -352, -476, -630? -h**3 - 63*h - 36 What is the r'th term of -17, -56, -143, -302, -557? -4*r**3 - 11*r - 2 What is the f'th term of 9, 3, -25, -87, -195, -361, -597, -915? -2*f**3 + f**2 + 5*f + 5 What is the l'th term of -21926, -21924, -21922, -21920, -21918? 2*l - 21928 What is the t'th term of -2, -8, -8, -2? 3*t**2 - 15*t + 10 What is the s'th term of 47, 44, 47, 62, 95, 152, 239, 362? s**3 - 3*s**2 - s + 50 What is the k'th term of -130, -173, -204, -217, -206, -165? k**3 - 50*k - 81 What is the s'th term of 230, 467, 714, 971, 1238? 5*s**2 + 222*s + 3 What is the g'th term of 24, 26, 18, -6, -52? -g**3 + g**2 + 6*g + 18 What is the m'th term of -161, -317, -471, -623, -773? m**2 - 159*m - 3 What is the u'th term of -42, -39, -36, -33? 3*u - 45 What is the j'th term of -79, -207, -421, -721, -1107, -1579? -43*j**2 + j - 37 What is the x'th term of 271, 278, 285? 7*x + 264 What is the x'th term of -64, -127, -190? -63*x - 1 What is the h'th term of -2443, -2439, -2433, -2425, -2415, -2403? h**2 + h - 2445 What is the j'th term of -77, -189, -299, -407, -513, -617, -719? j**2 - 115*j + 37 What is the x'th term of 41, 124, 215, 314, 421? 4*x**2 + 71*x - 34 What is the s'th term of -2403, -4795, -7187, -9579, -11971? -2392*s - 11 What is the v'th term of -3, -12, -29, -60, -111, -188, -297? -v**3 + 2*v**2 - 8*v + 4 What is the n'th term of 26, 21, 14, 5, -6, -19? -n**2 - 2*n + 29 What is the x'th term of 5, 12, 35, 80, 153, 260, 407? x**3 + 2*x**2 - 6*x + 8 What is the d'th term of 14, 44, 124, 278, 530, 904? 4*d**3 + d**2 - d + 10 What is the g'th term of 306, 358, 410, 462, 514, 566? 52*g + 254 What is the m'th term of -45, -166, -367, -648, -1009, -1450? -40*m**2 - m - 4 What is the u'th term of 107, 117, 135, 161, 195, 237, 287? 4*u**2 - 2*u + 105 What is the h'th term of 224, 227, 232, 239, 248, 259? h**2 + 223 What is the r'th term of -13, -50, -87, -124, -161? -37*r + 24 What is the i'th term of -23, -53, -83, -113? -30*i + 7 What is the u'th term of 29, 43, 35, -7, -95? -2*u**3 + u**2 + 25*u + 5 What is the p'th term of -55, -106, -157, -208, -259, -310? -51*p - 4 What is the z'th term of 1370, 5458, 12266, 21788, 34018, 48950, 66578? -z**3 + 1366*z**2 - 3*z + 8 What is the a'th term of -1536, -1531, -1514, -1479, -1420, -1331, -1206, -1039? a**3 - 2*a - 1535 What is the u'th term of 103, 208, 327, 466, 631, 828, 1063? u**3 + u**2 + 95*u + 6 What is the g'th term of -5, -8, -21, -50, -101? -g**3 + g**2 + g - 6 What is the o'th term of -18, -13, -14, -27, -58? -o**3 + 3*o**2 + 3*o - 23 What is the a'th term of -5, -37, -93, -173, -277? -12*a**2 + 4*a + 3 What is the y'th term of -12, -14, -12, 0, 28, 78? y**3 - 4*y**2 + 3*y - 12 What is the h'th term of 2922, 5840, 8756, 11670, 14582? -h**2 + 2921*h + 2 What is the m'th term of -80, -159, -238, -317, -396? -79*m - 1 What is the b'th term of 43, 157, 347, 613, 955, 1373? 38*b**2 + 5 What is the b'th term of -958, -1914, -2868, -3820, -4770, -5718? b**2 - 959*b What is the v'th term of -146, -576, -1292, -2294, -3582, -5156, -7016? -143*v**2 - v - 2 What is the p'th term of -107, -112, -115, -116, -115? p**2 - 8*p - 100 What is the l'th term of 0, 3, 14, 39, 84, 155? l**3 - 2*l**2 + 2*l - 1 What is the h'th term of 359, 354, 339, 308, 255? -h**3 + h**2 - h + 360 What is the o'th term of 344, 350, 356? 6*o + 338 What is the h'th term of -465, -468, -475, -486, -501? -2*h**2 + 3*h - 466 What is the u'th term of 7, 5, -1, -11, -25, -43, -65? -2*u**2 + 4*u + 5 What is the r'th term of 23, 23, 21, 17? -r**2 + 3*r + 21 What is the u'th term of -359, -421, -519, -647, -799? u**3 - 24*u**2 + 3*u - 339 What is the j'th term of 60, 461, 1548, 3663, 7148? 57*j**3 + j**2 - j + 3 What is the m'th term of 113, 112, 119, 140, 181, 248, 347, 484? m**3 - 2*m**2 - 2*m + 116 What is the b'th term of -73, -66, -59? 7*b - 80 What is the g'th term of 34, 51, 44, 1, -90? -2*g**3 + 31*g + 5 What is the j'th term of 17, 36, 79, 158, 285, 472? 2*j**3 + 5*j + 10 What is the b'th term of -373, -1469, -3295, -5851, -9137, -13153, -17899? -365*b**2 - b - 7 What is the g'th term of -87, -834, -2857, -6792, -13275, -22942, -36429? -106*g**3 - 2*g**2 + g + 20 What is the u'th term of -8, -45, -134, -299, -564? -4*u**3 - 2*u**2 - 3*u + 1 What is the r'th term of -1738, -3480, -5224, -6970? -r**2 - 1739*r + 2 What is the y'th term of -14340, -14341, -14342, -14343, -14344? -y - 14339 What is the k'th term of -6, 18, 68, 156, 294? 2*k**3 + k**2 + 7*k - 16 What is the i'th term of -1561, -1560, -1559, -1558? i - 1562 What is the j'th term of -1, -10, -25, -46, -73, -106, -145? -3*j**2 + 2 What is the s'th term of -28, -59, -94, -133? -2*s**2 - 25*s - 1 What is the f'th term of 9829, 9825, 9821, 9817, 9813? -4*f + 9833 What is the i'th term of 128, 288, 448? 160*i - 32 What is the a'th term of 31, 53, 63, 55, 23? -a**3 + 29*a + 3 What is the g'th term of -15, -22, -23, -12, 17, 70, 153, 272? g**3 - 3*g**2 - 5*g - 8 What is the k'th term of -45, -79, -113, -147, -181? -34*k - 11 What is the d'th term of -786, -774, -756, -732, -702? 3*d**2 + 3*d - 792 What is the x'th term of -271, -273, -275? -2*x - 269 What is the v'th term of 63, 73, 79, 81, 79, 73? -2*v**2 + 16*v + 49 What is the m'th term of -465, -464, -463, -462, -461? m - 466 What is the n'th term of -163, -188, -213, -238, -263? -25*n - 138 What is the g'th term of 2050, 2059, 2078, 2113, 2170, 2255? g**3 - g**2 + 5*g + 2045 What is the r'th term of -217, -231, -231, -211, -165, -87, 29, 189? r**3 + r**2 - 24*r - 195 What is the y'th term of 311, 308, 305, 302? -3*y + 314 What is the u'th term of 37, 119, 217, 337, 485? u**3 + 2*u**2 + 69*u - 35 What is the v'th term of -5345, -5346, -5347, -5348, -5349? -v - 5344 What is the w'th term of -8, -21, -32, -41? w**2 - 16*w + 7 What is the h'th term of 12, 20, 32, 48, 68, 92? 2*h**2 + 2*h + 8 What is the f'th term of -360, -359, -358? f - 361 What is the z'th term of 0, 2, -18, -72, -172, -330, -558, -868? -2*z**3 + z**2 + 13*z - 12 What is the a'th term of 15, 33, 51? 18*a - 3 What is the v'th term of -392, -451, -510? -59*v - 333 What is the h'th term of 1180, 2360, 3540, 4720, 5900, 7080? 1180*h What is the j'th term of -1, 6, 25, 62, 123, 214, 341? j**3 - 2 What is the r'th term of 18, 8, -2, -12, -22, -32? -10*r + 28 What is the l'th term of 377, 755, 1133, 1511? 378*l - 1 What is the h'th term of 325, 657, 989? 332*h - 7 What is the d'th term of -607, -595, -583, -571? 12*d - 619 What is the l'th term of 234, 230, 222, 210? -2*l**2 + 2*l + 234 What is the c'th term of -14, -68, -152, -260, -386, -524? c**3 - 21*c**2 + 2*c + 4 What is the z'th term of -17, -47, -77? -30*z + 13 What is the y'th term of -31, -66, -101, -136? -35*y + 4 What is the x'th term of 19, 24, 27, 28, 27? -x**2 + 8*x + 12 What is the p'th term of -39, -77, -119, -165, -215, -269, -327? -2*p**2 - 32*p - 5 What is the r'th term of 80, 171, 268, 371? 3*r**2 + 82*r - 5 What is the n'th term of 482, 1937, 436
{ "pile_set_name": "DM Mathematics" }
What is prob of picking 3 l? 7/15 Three letters picked without replacement from wwppwp. What is prob of picking 1 w and 2 p? 9/20 Three letters picked without replacement from mlmctve. What is prob of picking 1 c, 1 v, and 1 t? 1/35 Three letters picked without replacement from eefauu. Give prob of picking 2 e and 1 f. 1/20 Four letters picked without replacement from vsrkwsrvssv. What is prob of picking 3 v and 1 w? 1/330 What is prob of picking 1 h, 1 s, and 1 a when three letters picked without replacement from {a: 6, h: 1, s: 1, j: 3, k: 4}? 6/455 What is prob of picking 2 v when two letters picked without replacement from abvbbbvdbbbbbb? 1/91 Four letters picked without replacement from {h: 4, o: 15}. What is prob of picking 4 h? 1/3876 Two letters picked without replacement from {j: 1, u: 1, n: 1}. Give prob of picking 1 j and 1 n. 1/3 Four letters picked without replacement from {u: 6}. Give prob of picking 4 u. 1 What is prob of picking 2 b when two letters picked without replacement from bbhlbbhbhbblh? 7/26 Two letters picked without replacement from {g: 2, i: 2}. What is prob of picking 1 g and 1 i? 2/3 Three letters picked without replacement from {a: 6, f: 7, w: 6}. What is prob of picking 1 a, 1 f, and 1 w? 84/323 Calculate prob of picking 1 w, 1 g, and 1 i when three letters picked without replacement from rwigrrrggxr. 1/55 Three letters picked without replacement from icliclic. Give prob of picking 1 i and 2 l. 3/56 Four letters picked without replacement from opoppoo. Give prob of picking 4 o. 1/35 Calculate prob of picking 1 o and 2 n when three letters picked without replacement from {n: 19, o: 1}. 3/20 What is prob of picking 1 f, 1 v, and 1 a when three letters picked without replacement from {f: 3, v: 1, g: 2, u: 2, a: 4}? 3/55 Calculate prob of picking 1 f, 1 y, and 1 l when three letters picked without replacement from flyyyyflyyfyfyffyyy. 44/323 What is prob of picking 1 k, 1 q, and 2 t when four letters picked without replacement from {i: 1, k: 7, t: 3, q: 1}? 7/165 Two letters picked without replacement from crlajcavcjrrrcj. Give prob of picking 1 v and 1 a. 2/105 What is prob of picking 1 z and 1 t when two letters picked without replacement from {g: 1, x: 1, z: 4, j: 1, d: 5, t: 1}? 2/39 Calculate prob of picking 1 a and 3 m when four letters picked without replacement from rymztrmarmt. 1/330 What is prob of picking 1 i and 2 r when three letters picked without replacement from iiiiiirrirrirrir? 27/80 What is prob of picking 1 m, 1 o, and 1 i when three letters picked without replacement from ikkkkmmkklklqkioo? 1/85 Calculate prob of picking 1 y, 1 h, and 1 d when three letters picked without replacement from zhcccddcdycc. 3/220 Calculate prob of picking 2 n and 2 c when four letters picked without replacement from {h: 4, c: 4, n: 9}. 54/595 Two letters picked without replacement from {l: 6, m: 4}. Give prob of picking 1 l and 1 m. 8/15 What is prob of picking 1 q, 1 x, and 1 r when three letters picked without replacement from {r: 1, x: 2, u: 1, o: 1, z: 1, q: 1}? 2/35 Two letters picked without replacement from {a: 7, w: 6, v: 1, l: 1}. What is prob of picking 1 w and 1 v? 2/35 Two letters picked without replacement from vzhml. What is prob of picking 1 m and 1 v? 1/10 Two letters picked without replacement from gqqdqdcgqgdegqqgcqg. Give prob of picking 1 g and 1 c. 4/57 Calculate prob of picking 2 e when two letters picked without replacement from ukuueeuuuekuuukkkv. 1/51 Two letters picked without replacement from {p: 3, l: 11}. What is prob of picking 2 p? 3/91 Four letters picked without replacement from oofeofoeueooefon. What is prob of picking 2 f, 1 e, and 1 n? 3/455 Two letters picked without replacement from {g: 2, t: 1, u: 1, l: 2, k: 1}. What is prob of picking 1 u and 1 g? 2/21 Calculate prob of picking 2 j when two letters picked without replacement from {j: 2, k: 3, f: 10}. 1/105 Three letters picked without replacement from {m: 1, t: 3}. Give prob of picking 2 t and 1 m. 3/4 Calculate prob of picking 2 g and 2 z when four letters picked without replacement from {n: 2, d: 2, z: 2, g: 3}. 1/42 Three letters picked without replacement from bkxfibi. What is prob of picking 2 i and 1 x? 1/35 Three letters picked without replacement from {i: 3, j: 2, l: 1, n: 3, q: 1}. Give prob of picking 2 n and 1 i. 3/40 Calculate prob of picking 1 p and 1 n when two letters picked without replacement from bbepegpbeegnpebebe. 1/51 Three letters picked without replacement from {q: 3, i: 2}. Give prob of picking 3 q. 1/10 Calculate prob of picking 1 g, 1 p, and 1 a when three letters picked without replacement from {k: 1, a: 3, n: 6, p: 1, t: 1, g: 1}. 3/286 What is prob of picking 3 o when three letters picked without replacement from {o: 10, p: 2}? 6/11 Calculate prob of picking 1 i, 1 k, and 2 x when four letters picked without replacement from {x: 3, k: 1, w: 2, i: 1}. 3/35 What is prob of picking 1 j and 1 l when two letters picked without replacement from {d: 6, p: 2, h: 1, l: 1, g: 2, j: 3}? 1/35 Calculate prob of picking 1 m and 1 f when two letters picked without replacement from ffmfqqq. 1/7 Three letters picked without replacement from {f: 2, t: 1, s: 1, a: 1, m: 1, o: 1}. Give prob of picking 1 o, 1 a, and 1 t. 1/35 Two letters picked without replacement from cklbclpb. Give prob of picking 1 c and 1 p. 1/14 Two letters picked without replacement from kvrjm. Give prob of picking 1 k and 1 v. 1/10 What is prob of picking 1 u and 1 f when two letters picked without replacement from fufuffuufuuuhf? 6/13 Calculate prob of picking 3 o and 1 w when four letters picked without replacement from lowowwqyqwqow. 1/143 Four letters picked without replacement from {c: 8, u: 4, s: 8}. Give prob of picking 1 u, 2 c, and 1 s. 896/4845 Calculate prob of picking 3 b when three letters picked without replacement from spryyrysyysb. 0 What is prob of picking 3 b and 1 w when four letters picked without replacement from vvbvvwbwbv? 1/105 What is prob of picking 1 s, 1 j, and 1 x when three letters picked without replacement from {x: 9, s: 1, j: 9}? 27/323 What is prob of picking 4 p when four letters picked without replacement from {p: 7}? 1 Two letters picked without replacement from hhllllurx. What is prob of picking 1 u and 1 r? 1/36 Four letters picked without replacement from llkizlyil. Give prob of picking 1 i, 2 l, and 1 z. 2/21 What is prob of picking 1 x and 1 f when two letters picked without replacement from {c: 1, f: 1, x: 1, u: 1, b: 1}? 1/10 What is prob of picking 3 w when three letters picked without replacement from zzwywevyyyzvvevw? 1/560 Three letters picked without replacement from {e: 9, t: 10}. What is prob of picking 3 e? 28/323 What is prob of picking 3 t when three letters picked without replacement from {y: 1, w: 1, f: 2, s: 2, c: 3, t: 3}? 1/220 What is prob of picking 1 c, 1 l, 1 a, and 1 b when four letters picked without replacement from {a: 1, s: 3, f: 2, b: 4, c: 1, l: 1}? 4/495 What is prob of picking 2 z and 2 g when four letters picked without replacement from iuigzgiizgigiiiizg? 1/102 What is prob of picking 1 o, 1 j, and 1 t when three letters picked without replacement from jixxxjtjtxiixxoooiix? 3/190 Calculate prob of picking 1 x and 1 m when two letters picked without replacement from {x: 1, m: 1, r: 2, w: 2, z: 2, v: 1}. 1/36 Four letters picked without replacement from kkkd. What is prob of picking 3 d and 1 k? 0 What is prob of picking 2 b when two letters picked without replacement from {r: 1, h: 1, b: 7}? 7/12 Calculate prob of picking 1 r and 1 a when two letters picked without replacement from tratreae. 1/7 Two letters picked without replacement from fqqffqffqfffffffff. Give prob of picking 2 f. 91/153 Two letters picked without replacement from {d: 3, i: 2}. Give prob of picking 1 i and 1 d. 3/5 Three letters picked without replacement from jyjyjjyyyjjyj. Give prob of picking 3 j. 35/286 Four letters picked without replacement from {k: 9, d: 2}. Give prob of picking 4 k. 21/55 Two letters picked without replacement from {n: 2, h: 2}. What is prob of picking 1 h and 1 n? 2/3 What is prob of picking 2 x and 1 m when three letters picked without replacement from {a: 2, m: 2, d: 3, r
{ "pile_set_name": "DM Mathematics" }
3*v**6 - v**6 wrt v. -1680*v**3 Let t(f) be the third derivative of 221*f**4/24 - 148*f**3/3 + 332*f**2. Differentiate t(x) wrt x. 221 Suppose -5*j + 105 = 5*u, -8*j + 5*u + 105 = -3*j. What is the second derivative of 18*n**4 - 23*n - j*n**4 + 37*n**4 wrt n? 408*n**2 Let m be 1 - -8 - (13 + -10). What is the third derivative of -3*v**2 + 10*v**2 + 20*v**m + 14*v**2 wrt v? 2400*v**3 Suppose 3*b = 8*b - 5. Suppose b = k - 4. What is the third derivative of -2*c**2 + 5*c - k*c + 5*c**2 - 3*c**5 wrt c? -180*c**2 Let v(q) = 21*q**3 + 10*q**2 - 4*q - 37. Let c(n) = 2*n**2 - n. Let u(i) = -6*c(i) + v(i). Find the second derivative of u(r) wrt r. 126*r - 4 Let c(t) = -t + 4. Let s(r) = 64*r**2 + r + 24. Let o(a) = 6*c(a) + 6*s(a). What is the first derivative of o(l) wrt l? 768*l Let t(q) = 3*q**2 + 4*q + 1. Let d be t(-4). Let u = -31 + d. Find the second derivative of -u*p + 3*p**2 - 12*p**4 + p - 3*p**2 wrt p. -144*p**2 Let x(w) = -3*w - 5. Let o be x(-2). Suppose -p + o + 2 = 0. What is the third derivative of 0*s**3 + s**p + 15*s**2 - 17*s**2 wrt s? 6 Let s(k) be the third derivative of 2*k**2 + 0*k**3 - 1/56*k**8 + 0*k + 0*k**6 + 0*k**7 - 3/4*k**4 + 0*k**5 + 0. Find the second derivative of s(y) wrt y. -120*y**3 What is the second derivative of 6*l**5 + 126*l - 4*l**2 + 332*l**3 + 6*l**5 - l**2 - 332*l**3 wrt l? 240*l**3 - 10 Let w(h) = -2*h + 1. Let q(m) = 11*m - 7. Let r(g) = 5*q(g) + 40*w(g). Differentiate r(p) with respect to p. -25 Let b(v) be the third derivative of 0*v**5 + 0*v**4 + 0*v + 0*v**6 - 16/3*v**3 + 0 - 39*v**2 + 2/15*v**7. Differentiate b(r) with respect to r. 112*r**3 Suppose 6*q - 73 = -25. What is the second derivative of -2*r + 10*r**5 - 7*r + q*r + 10*r**5 wrt r? 400*r**3 Let j(k) be the first derivative of -36*k - 15 + 20*k - 13 - 12 - 8*k**2. Find the first derivative of j(l) wrt l. -16 Let w be 34/2 - 6/(-2). What is the second derivative of -72 + w*f**2 - 8*f + 4*f + 72 wrt f? 40 Suppose -5*k = 4*z - 46, -2*k = -3*z - 11 - 12. Let x be ((-4)/1 - 0)*-1. What is the derivative of 15*l**4 - k*l**4 - 7 + 5*l**x wrt l? 40*l**3 Find the third derivative of -2*g - 144*g**2 - 438*g**4 - 459*g**2 - 98*g**2 + 2*g wrt g. -10512*g Suppose -2*q + 3*t = 6, -4*q - 32 = 3*t - 4*t. Let y = 15 + q. What is the third derivative of -3*i**y - 96*i**3 + 3*i**2 + 96*i**3 - 5*i**6 wrt i? -960*i**3 Suppose -2*r = -0*r - 4*n + 22, -n + 6 = -r. Let w be 1*r*(-15)/3. What is the third derivative of -w*m**2 - 3 + 3 + m**5 - 5*m**5 wrt m? -240*m**2 Let x be (-977)/(-11) - 1/(44/(-8)). Differentiate 89*y + 8 - x*y + 32*y**3 wrt y. 96*y**2 Let v = 56 - 53. Find the first derivative of 43*t**2 - 27 + 17*t**v - 43*t**2 wrt t. 51*t**2 Find the second derivative of 3*u**3 - 49*u**2 + 1164*u - 2*u**3 - 1159*u + 1 wrt u. 6*u - 98 Let n(l) be the first derivative of l**5/20 - 31*l**3/6 - 17*l**2/2 + 30. Let y(t) be the second derivative of n(t). What is the first derivative of y(b) wrt b? 6*b Let r(o) be the first derivative of -3*o**4/4 - 2*o**3/3 + o**2 + 14*o + 73. What is the second derivative of r(c) wrt c? -18*c - 4 Suppose -3*j + 30 = 2*j. Suppose -5*d = -219 - j. Find the second derivative of d*y**2 - 13*y + 4*y - 44*y**2 wrt y. 2 Let t(a) be the second derivative of -a**5/5 + 13*a**3/6 + 109*a**2/2 + a - 96. Differentiate t(z) wrt z. -12*z**2 + 13 Let w = -296 - -839. What is the second derivative of 543*v**2 - 27*v - w*v**2 - 44*v**5 wrt v? -880*v**3 What is the second derivative of -2*x - 2*x + 323*x**2 - 290*x**2 - 19 wrt x? 66 Let p(y) = -2*y**2 + 2*y. Let d(g) = 762*g**2 + 80*g - 6. Let v(o) = -d(o) + 2*p(o). Find the second derivative of v(m) wrt m. -1532 Let d(y) be the first derivative of 190*y**7/7 + 94*y**3/3 - 255. What is the third derivative of d(l) wrt l? 22800*l**3 Find the second derivative of 0 + 23*g**2 + 24*g**4 - 7*g**2 - 16*g**2 + 3 - 2*g wrt g. 288*g**2 Let r(p) be the third derivative of -37*p**6/40 - 49*p**4/8 - 2*p**2 + 27*p. Find the second derivative of r(q) wrt q. -666*q Suppose -d = 3*y - 16, -3*y - 2*d = 2*y - 28. Let w(s) be the first derivative of 0*s**2 + 6*s - 3/2*s**y + 8 + 0*s**3. Differentiate w(t) wrt t. -18*t**2 Let b(l) be the third derivative of 299*l**7/105 - l**6/60 + 55*l**4/8 - 492*l**2 - l. What is the second derivative of b(a) wrt a? 7176*a**2 - 12*a Let q(f) be the first derivative of -54*f**2 + 93*f + 33. Differentiate q(a) wrt a. -108 Let t(j) be the second derivative of -j**7/21 + 7*j**5/5 + 33*j**3/2 + j + 7. What is the second derivative of t(n) wrt n? -40*n**3 + 168*n Suppose 13 = 3*i + 4. Let w(n) = -n**2 + 5*n - 2. Let g be w(i). Find the third derivative of b**6 - b**2 + 2*b**g - 2*b**4 - 5*b**6 wrt b. -480*b**3 Let c be 14/91 - 74/(-26). What is the second derivative of 152*b**3 - 11*b - b**5 - 152*b**c wrt b? -20*b**3 Let g(l) be the second derivative of 25*l**7/6 + 104*l**3/3 - 248*l. Find the second derivative of g(a) wrt a. 3500*a**3 Let o(y) be the second derivative of 319*y**5/20 + y**3/3 - 139*y**2/2 + 3*y + 30. What is the second derivative of o(g) wrt g? 1914*g Let u(p) be the second derivative of 0*p**5 + 23*p + 0*p**4 + 0 + 0*p**6 + 0*p**2 - 13/42*p**7 - 5/6*p**3. What is the second derivative of u(h) wrt h? -260*h**3 Let c(v) be the first derivative of v**6/6 - 3*v**5/5 + 2*v**3/3 + 7*v + 37. Find the third derivative of c(u) wrt u. 60*u**2 - 72*u Suppose -2*q = -k + 1, -4*q = 5 - 13. Differentiate 0 - 6 + 4*j - 10 - k*j wrt j. -1 Let p(m) = -m**5 + 2*m**4 + m - 1. Let h(b) = 201*b**5 - 4*b**4 - 299*b + 2. Let o(j) = -h(j) - 2*p(j). Find the second derivative of o(k) wrt k. -3980*k**3 Let g(t) be the second derivative of 176*t**7/21 - 13*t**4 - 140*t. Find the third derivative of g(c) wrt c. 21120*c**2 Let i(r) = -410*r**3 + 7*r**2 - 21. Let h(o) = o**3 + o**2 - 5. Let y(p) = -14*h(p) + 2*i(p). Find the first derivative of y(g) wrt g. -2502*g**2 Find the third derivative of -25*z - 1284*z**6 + 16*z + 1283*z**6 + 9*z**2 + 156*z**3 wrt z. -120*z**3 + 936 Suppose 0*i = 2*i - 10. Let c = i + -2. What is the derivative of -c - 7*b**4 + 9 - 3 + 5 wrt b? -28*b**3 Let m be (45/6)/(-3)*-2. Suppose 2*r - 5 = -m*n, r + 13 = 4*r + 2*n. What is the third derivative of -4*y**6 + r*y**6 + 3*y**6 - 2*y**2 - y**2 wrt y? 480*y**3 Let f(o) = -233*o**2 - 12*o - 24. Let n(h) = 2*h - 1. Let p(i) = f(i) + 6*n(i). Differentiate p(q) wrt q. -466*q Suppose 47 = 5*n - 63. Find the second derivative of f**4 + 221*f - 218*f - f**4 - n*f**5 wrt f. -440*f**3 Let i(d) be the second derivative of 37*d**5/10 - 75*d**2/2 + 53*d. Differentiate i(c) wrt c. 222*c**2 Let w(c) = 221*c**3 - 14. Let m(f) = 55*f**3 - 4. Let x(k) = 18*m(k) - 4*w(k). Find the first derivative of x(d) wrt d. 318*d**2 Let w be 2/(-2) + (-115)/5. Let p = w + 29. What is the second derivative of 6*v + 0*v**2 + p*v + v**2 + 3*v**2 wrt v? 8 Let o(g) be the third derivative of 13*g**8/112 - 8*g**5/15 - g**4/8 - 15*g**2 - 3*g. Find the third derivative of o(v) wrt v. 2340*v**2 Let q be 4*(2 + 1)*(-6)/(-18). What is the third derivative of -2*x**4 - 39*x**5 + 51*x**5 + 2*x**q - 19*x**2 wrt x? 720*x**2 Let o = 11 - -6. What is the derivative of -o*s**2 - 7 - 12 - 10 - 24*s**2 wrt s? -82*s Differentiate 67 + 16 + 433*y**3 - 297 wrt y. 1299*y**2 Find the third derivative of -499*m**2 + 1940999*m**5 - 113*m**3 - 160*m**2 - 1941001*m**5 wrt m. -120*m**2 - 678 Let x(n) be the first derivative of 668*n**5/5 - 2*n**3/3 - 235*n - 450. Find the third derivative of x(i) wrt i. 16032*i Find the third derivative of -12 + 40*b**5 - 2*b**2 - 15 - 18*b**5 + 27*b**5 wrt b. 2940*b**2 What is the third derivative of 1 + 197*c**4 + 24*c**2 - 1 - 196*c**4 + 280*c**5 wrt c? 16800*c**2 + 24*c Suppose 12 = -4*g + z + 19, -4*g - 4*z = -12. Find the third derivative of 4*a**2 - 145*a + 145*a - 47*a**g - 6*a**4 wrt a. -144*a Find the third derivative of 12282*l**2 - 6156*l**2 - 176*l**3 - 6152*l**2 wrt l. -1056 What is the second derivative of 98*h**2 - 2*h + 31*h**2 + 8*h**2 + 22*h**2 - 39 wrt h? 318 What is the second derivative of -51*g - 24*g - 72*g + 69*g**2 wrt g? 138 Let k(g) = 393*g**2 + 11*g - 59. Let f(b) = 197*b**2 + 5*b - 29. Let h(x) = -13*f(x) + 6*k(x). Find the second derivative of h(o) wrt o. -406 Find the first derivative of 20*a - 16*a + 39*a - 2*a + 1
{ "pile_set_name": "DM Mathematics" }
205/43 and -74 have the same value? False Is 107040 equal to 2033754/19? False Is 113029 > 113029? False Which is greater: -1.53926 or -0.2? -0.2 Is -51 at most as big as -7402/145? False Which is bigger: -35 or -2934/83? -35 Is -433786 > -433786? False Is 5/12 at least 2133? False Which is smaller: -1 or 204387? -1 Which is smaller: 36 or 78? 36 Which is smaller: 4/6259 or 5? 4/6259 Which is smaller: 13796 or 13807? 13796 Which is smaller: -5812 or -1/8? -5812 Is -1236 equal to -32105/26? False Is 6636/65 >= 103? False Which is bigger: 0 or 10/1491061? 10/1491061 Is 1/2 bigger than -1508.888? True Which is bigger: 53/8 or -13.28? 53/8 Do 3/46 and -421.1 have the same value? False Which is smaller: 0 or -6/12259? -6/12259 Which is greater: 150721 or 150723? 150723 Which is greater: -62321/5 or -12464? -12464 Which is greater: -2 or -1219/993? -1219/993 Are 46060 and 46071 equal? False Is 100 at least as big as 52360/529? True Which is smaller: 30 or -40326? -40326 Is -38.5 <= 587? True Do 1 and 1130/931 have the same value? False Is -12002 at most -12004? False Which is smaller: -389511 or -14? -389511 Is 39178 bigger than 39203? False Which is greater: -59720 or -59715? -59715 Which is bigger: 260 or 256? 260 Which is greater: -4965 or 0? 0 Is -1 greater than -129.1679? True Which is greater: 6041 or 10? 6041 Which is smaller: 11108 or 77748/7? 77748/7 Which is smaller: 259/236 or 1? 1 Is 0 < -393/2396? False Is 85/71 at least -99? True Which is smaller: -5/29717 or -1? -1 Is 1176430 greater than 1176430? False Is 1 not equal to 66/241? True Which is greater: 1 or -1/502666? 1 Does 1 = 420/683? False Is 3544 < 3591? True Is 1.78 < 1322? True Which is greater: 76733 or 76735? 76735 Is 2 at most 542/485? False Is -4067 bigger than -36596/9? False Is 695606 >= 695606? True Is 1152247 less than or equal to 1152247? True Is -735 >= 0.6? False Which is greater: -1 or 124/6775? 124/6775 Which is bigger: 2/1289 or -11/32? 2/1289 Which is greater: -4115 or 4/13? 4/13 Is 1185 less than 636? False Which is bigger: 7/8973 or 0? 7/8973 Is 28 > -7/6064? True Which is smaller: 0.063 or -119.1? -119.1 Which is bigger: 297045 or 297056? 297056 Is 0 greater than or equal to 2/679665? False Which is smaller: -351718 or -351714? -351718 Do -23/27 and -2 have the same value? False Is 1 bigger than 777110/13? False Which is smaller: 1181 or -187? -187 Is -21580 not equal to -21662? True Which is smaller: 4687 or 79683/17? 4687 Is -19450 < -19445? True Are -4884 and -4891 nonequal? True Is -1347/454 at least -3? True Which is bigger: -17402 or -17404? -17402 Is -1039 bigger than -862? False Is -8264 greater than -18? False Is -31625 at most -0.2? True Which is smaller: -37399 or -37398? -37399 Are -1/18566121 and 1 nonequal? True Which is greater: 0.2 or -6352.9? 0.2 Which is bigger: 799 or 363? 799 Which is smaller: -0.82 or -28242? -28242 Is 81/154 >= 2? False Are -3 and -1262.3 equal? False Which is smaller: -1/400959 or 1? -1/400959 Which is smaller: 0 or -1/657868? -1/657868 Are -4872 and -121784/25 non-equal? True Are -130 and -388/3 nonequal? True Is 329 at most -64? False Which is smaller: -17.5 or 91? -17.5 Is -3971 > -4228? True Does 3.8113 = 0.9? False Which is greater: -4/8145 or 0? 0 Does -5450 = -5456? False Is 20 greater than 640/33? True Which is bigger: 11683 or 11539? 11683 Is -36/6083 greater than or equal to 1? False Which is smaller: 6150 or 5853? 5853 Is 8 not equal to -66218? True Is -66771 != -2/11? True Is 27839 at least 0.3? True Is -348392 not equal to -348393? True Which is smaller: -989 or -907? -989 Which is bigger: 0 or -399/778? 0 Which is bigger: -1/4253717 or 1? 1 Which is smaller: 51619 or 51617? 51617 Which is greater: -96716 or -677020/7? -96716 Does -1607943 = 0.1? False Which is smaller: 1233411 or 1233410? 1233410 Which is smaller: 1 or 445/247? 1 Which is smaller: 69/2 or -15.295? -15.295 Which is greater: 433 or 450? 450 Which is bigger: -85 or 574? 574 Does -3 = 140432/3? False Is -12649 greater than -252967/20? False Which is smaller: -1 or 11/11769? -1 Which is smaller: 105/4748 or 1? 105/4748 Which is bigger: -280 or -725? -280 Are -7308 and -7313 equal? False Is 4538 > 4537? True Do 1/15 and 2052 have the same value? False Is -91584 equal to -2/5? False Is -22322/5 < -4465? False Is -96/5731 greater than or equal to -1? True Is 1/58798 less than or equal to -1? False Which is smaller: 121384 or 121383? 121383 Which is greater: -2176 or -2174? -2174 Is 70303 less than 70288? False Are 34 and 2282/65 non-equal? True Which is smaller: 1043 or 954? 954 Is 9 > -194835? True Is -331268 bigger than 1? False Is -12 != 5167? True Are -1032737 and -1032732 equal? False Is -2/763 bigger than -2/71? True Which is smaller: 2/11 or 2609/15? 2/11 Which is bigger: -31917 or -31918? -31917 Which is smaller: -41407/10 or -4141? -4141 Which is greater: 1181101 or 2362203/2? 2362203/2 Which is bigger: -2592908 or -0.1? -0.1 Which is greater: 16220/369 or 44? 44 Which is smaller: -2/9 or 844443? -2/9 Which is smaller: 84908 or 84897? 84897 Is -806/7 not equal to -0.22? True Is -163277 <= -163273? True Which is smaller: -92770 or -92781? -92781 Which is smaller: -1802/3969 or 1? -1802/3969 Which is greater: 43412 or 43431? 43431 Is -2/90475 at least -1? True Is 1892 > 1904? False Which is smaller: 0.1 or -476356? -476356 Which is smaller: 0 or 1/9302? 0 Which is smaller: -122/1153 or 0? -122/1153 Is -46546 < -46546? False Are 203/1147 and 0 nonequal? True Which is bigger: 361 or 5.67? 361 Is 2302 greater than 2312? False Which is smaller: 43321 or 43320? 43320 Is -30/2551 bigger than 0? False Which is bigger: 22916/11 or 13? 22916/11 Is 46798/27 less than 1732? False Which is smaller: -2428/1797 or -1? -2428/1797 Does 1/2107 = 0? False Which is smaller: 1 or 9/7139? 9/7139 Is 412030 less than or equal to 412030? True Which is greater: 627 or 823? 823 Which is bigger: -1 or 229/13382? 229/13382 Which is bigger: 95525 or 95524? 95525 Which is greater: 37630.9 or 0? 37630.9 Is -19002 at least -21/2? False Is 38/5 > 1095? False Which is bigger: -911978 or 0? 0 Which is smaller: -116804 or -116807? -116807 Is 231871 <= 231871? True Is -9890698 <= -9890698? True Are 838949 and 838947 nonequal? True Is -2123 greater than or equal to -1928? False Is -2030 at least 11? False Which is bigger: -1163 or -166? -166 Which is smaller: 19945/38 or 526? 19945/38 Is 2 smaller than 4433/6? True Which is bigger: 99196 or 99193? 99196 Are 92206 and 92208 non-equal? True Is 236094/23 at least 10264? True Which is smaller: -46 or 53? -46 Which is bigger: -53203 or -53204? -53203 Which is bigger: -3119 or -3136? -3119 Which is bigger: 1 or 128/293? 1 Which is smaller: 2 or -189629? -189629 Which is bigger: -37 or -1615/42? -37 Which is smaller: 0.2 or -2090? -2090 Which is bigger: -2290278 or -2290276? -2290276 Is 727.6 not equal to -1/6? True Which is smaller: -154586 or -154587? -154587 Is 0.4 at most as big as -41737? False Is 36 less than or equal to 71976? True Are -18646 and 6 non-equal? True Which is smaller: 118266 or -0.03? -0.03 Is 64 <= 120? True Which is bigger: -1310/93 or -14? -14 Which is smaller: -65674/131 or -501? -65674/131 Is 2902646 >= 2902647? False Which is bigger: -2411 or -2157? -2157 Which is greater: 1 or -222/53785? 1 Which is smaller: -12149 or -24299/2? -24299/2 Which is bigger: 1067183 or 1067184? 1067184 Which is greater: 3 or 2/3859? 3 Which is bigger: 3/10 or 7541? 7541 Are -5321 and -5314 non-equal? True Is -1304 at least -19546/15? False Which is bigger: 3 or 295006/11? 295006/11 Does 0.2 = 1251/5029? False Does 9436 = 66058/7? False Which is greater: -10354/1555 or -6? -6 Which is smaller: -1 or -393/821? -1 Which is smaller: 955 or 922? 922 Is 0 > -344/879? True Is -1173 smaller than -1177? False Which is smaller: -12371/162 or -77? -77 Is 0 greater than 281/1129? False Is -166 bigger than 22? False Is 2/231 not equal to -10/161? True Is -11937178 less than or equal to -11937178? True Which is greater: -2/2457 or -6/11? -2/2457 Do -30/57737 and 0 have different values? True Which is bigger: 725 or 1122? 1122 Which is bigger: -20765 or -20764? -20764 Which is bigger: 36386 or 36363? 36386 Which is bigger: 12 or 3934/5? 393
{ "pile_set_name": "DM Mathematics" }
te the remainder when 231 is divided by m(-6). 15 Suppose -2*f = -3*i, f + 4 = 5*f - 5*i. Let q(a) = -12*a**2 - 4*a - 2. Let k be q(-2). Let w = f - k. Calculate the remainder when w is divided by 13. 9 Let g(o) = 2*o**2 - o - 1. Suppose -10*w + 72 = -48. What is the remainder when g(-4) is divided by w? 11 Suppose 0 = -3*b - 12, p = -b + 367 - 15. What is the remainder when p is divided by 124? 108 Suppose -1329 = -19*b + 1483. What is the remainder when b is divided by 50? 48 Let x(j) = -9*j. Let f be x(2). Let o = -16 - f. What is the remainder when (-1)/(-1*o/58) is divided by 10? 9 Suppose 136 = t - 3*w, 5*w + 68 - 490 = -3*t. Let p = t + -45. What is the remainder when p is divided by 24? 22 Let n = 129 - 71. Suppose 0 = -p - 3*p + 24. Calculate the remainder when n is divided by p. 4 Let j = -106 + 120. Calculate the remainder when j is divided by (-10)/45 - 112/(-18). 2 Let h(b) = 2*b + 4. Let n be h(-3). Let p = -8 + 30. What is the remainder when n/(-4) - (-346)/4 is divided by p? 21 Suppose 2 = 5*s - 18. Suppose 2*y = -4*f + 170, 0*f + s*y = 4*f - 140. Calculate the remainder when f is divided by 16. 8 Let p(g) = 5*g + 66. Calculate the remainder when -2 + 32 - 2/(-1) is divided by p(-11). 10 What is the remainder when 154 is divided by (-44)/(-1) + (-4 - -5)? 19 Let p(q) = -5*q**3 - q**2 + q - 1. Let g be p(1). Suppose 0 = 5*b - 0*b - 75. Calculate the remainder when b is divided by (-12)/8 - 33/g. 3 Let n(h) = h**3 + 6*h**2 + 2*h - 4. Let a(p) = -2*p - 10. Let b be a(-5). What is the remainder when n(-4) is divided by (b + 7)*(18/21)/1? 2 Let d be 3 + (16/(-3))/(6/(-63)). Suppose -143 = -4*n + g, -2*g = -2*n + g + d. Calculate the remainder when n is divided by 20. 17 Let t = -180 - -478. What is the remainder when t is divided by 25? 23 Suppose 2*k + 5*g + 10 = 0, -g = -5*k + 5 + 24. What is the remainder when 12 is divided by k? 2 Suppose 504 - 108 = 4*p + 2*b, p + 2*b - 99 = 0. What is the remainder when p is divided by 24 - (2 + -1 + -2)? 24 Let b(c) = -c**2 + 12*c - 24. Let w be b(11). Let f(p) = -p - 1 + 8 + 11 - 6*p. Calculate the remainder when f(w) is divided by 28. 25 Suppose 97 = 3*g - 5*o, -2*o - 7 = 4*g - 145. Calculate the remainder when g is divided by 9. 7 Let w be ((-95)/(-30) - 3) + (-446)/12. Let c = -23 - w. What is the remainder when 26 is divided by c? 12 Suppose -5*s - 12 = -37. Suppose 100 = s*q - 45. Let k(v) = 6*v - 250. What is the remainder when k(51) is divided by q? 27 Suppose 0 = -l + 2 + 7. Let h be (6/15)/((-2)/(-20)). What is the remainder when -2 - -26 - h/(-4) is divided by l? 7 Let h(c) = 6*c**2 - 6*c - 5. Let f be h(5). Suppose -10*i + f = -95. Calculate the remainder when 125 is divided by i. 20 Let v be 5/(2*4/8). Suppose 7 = -2*y - v. Let x(p) = p**2 + 3*p + 1. Calculate the remainder when 54 is divided by x(y). 16 Let u = 54 + -49. Suppose 2*v + 182 = 2*k, 0 = u*k + 5*v - 746 + 281. Calculate the remainder when k is divided by 24. 20 Suppose -932 = -42*m - 260. What is the remainder when 30 is divided by m? 14 Let a(p) = -4*p**2 - 8*p - 17. Let o(w) = -w**2 - w - 1. Let y(z) = -2*a(z) + 6*o(z). What is the remainder when y(-4) is divided by 8? 4 Let m(b) = 2*b**2 - 2*b - 5. Suppose 3*c + 7 = -p + 59, 3*c = -4*p + 46. What is the remainder when m(-4) is divided by c? 17 Suppose -39*i = -1753 - 236. What is the remainder when i is divided by 35? 16 Suppose 4*z + 16 = -2*u, -2*u + 4*z = -0*u + 32. Let i(t) = -t**2 - 15*t - 25. What is the remainder when 41 is divided by i(u)? 8 Suppose -8*d + 15 = -5*d. Suppose -2*c - k + 209 = -4*k, c = d*k + 101. Calculate the remainder when c is divided by 36. 34 Let o(b) = -b**3 - 16*b**2 + 4*b + 71. Let a be (-21)/(-15) + (-4)/10. What is the remainder when o(-16) is divided by (-5 - -2)/(-2 + a)? 1 Let x(b) = -4*b**2 - 9*b + 37. Let t(w) = -3*w**2 - 6*w + 25. Let m(z) = -7*t(z) + 5*x(z). What is the remainder when m(4) is divided by 8? 6 Suppose 0 = 2*g - 0 + 646. Let i be 8/(-20) - g/(-5). Let b = -30 - i. Calculate the remainder when b is divided by 12. 11 Let t(s) = -2*s**3 + 2*s + 58. What is the remainder when 175 is divided by t(0)? 1 Let l(v) = v**3 - 13*v**2 + 25*v - 225. What is the remainder when l(13) is divided by 46? 8 Suppose -3*y - 4*u = -8, -64*y + 60*y - u + 28 = 0. Suppose 5*h + 0 = 35. What is the remainder when y is divided by h? 1 Let h = 27 - 25. Suppose 0 = 9*d - 10*d - h. What is the remainder when 44 + 7 + -1 + d is divided by 17? 14 Let n be -1*(4 + -3 + -25). Let j be (n/(-10))/((-2)/(-10)). Calculate the remainder when (1/1)/(j/(-348)) is divided by 15. 14 Let d(h) = -h**3 + 18*h**2 + 18*h + 58. Suppose a = -2*a + 342. What is the remainder when a is divided by d(19)? 36 Let a be (-5 + 7)/((-3)/9). Let s(j) = -j**3 - 5*j**2 + 6*j + 3. Calculate the remainder when 4 is divided by s(a). 1 Let w(r) = -60*r + 21. Calculate the remainder when -2 + (-1 + -1 - -84) is divided by w(0). 17 Let k = -485 - -492. Calculate the remainder when 20 is divided by k. 6 Let x be (-2)/(2/2) - -22. What is the remainder when 3 + (x/5 - -31) is divided by 20? 18 Suppose -t = -2*c - 6, -3*t + 7 = -3*c - 14. What is the remainder when t is divided by 8? 0 Let i(p) be the third derivative of 0*p + 4*p**2 + 2/3*p**3 + 0 + 1/24*p**4. Calculate the remainder when 50 is divided by i(9). 11 Suppose -2*g = 4*s - 88, 72 = 8*s - 4*s - 2*g. Suppose -4*f - 4*k = -48, -4*k = -0*f + f - 12. Calculate the remainder when s is divided by f. 8 Let n be (-2 + (-765)/(-10))/(1/(-2)). Let i = n - -173. What is the remainder when 42 is divided by i? 18 Let k = -43 - -71. Suppose -3*z = -n - 1, -3*n - 4*z + k = n. Suppose 24 = -n*l + 99. Calculate the remainder when 42 is divided by l. 12 Suppose 5*h = 0, 13*u = 8*u + 2*h + 105. Calculate the remainder when 39 is divided by u. 18 Let d(r) be the first derivative of -r**3/3 + 15*r**2/2 - 6*r - 5. What is the remainder when 56 is divided by d(12)? 26 Suppose -5*q - 2*j + 298 = 0, q + 3*q - 212 = 5*j. Let g = q + -52. What is the remainder when 23 is divided by g? 5 Suppose 14*q = -35 + 189. Calculate the remainder when 217 is divided by q. 8 Let p = 11 + -7. Let z(n) = -n**2 + 10. Let o be z(-3). What is the remainder when o/(-3 + (-172)/(-56)) is divided by p? 2 Suppose 0 = 9*h + 579 - 1731. What is the remainder when h is divided by 41? 5 What is the remainder when 566 is divided by (-23 - -22) + -2*9/(-2)? 6 Let z be ((-100)/(-15))/((-2)/(-3)). Suppose 4*n + 2*d = -43 + 223, 0 = -3*n + 3*d + 153. Calculate the remainder when n is divided by (z/(-15))/((-5)/90). 11 Suppose -9*c + 0*c + 729 = 0. What is the remainder when c is divided by 28? 25 Suppose -x + 68 = -14. Let h = -165 + 177. What is the remainder when x is divided by h? 10 Calculate the remainder when 178 is divided by 94/4*(-30 + 32). 37 Let z = 295 + -204. Let x(p) = 6*p**2 - 1. What is the remainder when z is divided by x(-2)? 22 Suppose 0 = -13*f + 10*f - 6, 454 = 9*d - 2*f. Let b = 12 - -8. Calculate the remainder when d is divided by b. 10 Calculate the remainder when 9 - (3 + -1) - (-1325)/5 is divided by 25. 22 Let y(i) = -11*i - 81. Calculate the remainder when 169 is divided by y(-10). 24 Let q(i) = -i**2 + 9*i - 4. Let g be q(8). Let u = 45 - 29. What is the remainder when u is divided by 34/g - (-1)/2? 7 Let o(l) = -2*l**2 - 7*l + 19. Let r be o(-7). Let u = -13 - r. What is the remainder when u is divided by 6? 5 Suppose -2*p + 2*l - 434 = 0, -5*l + 10 = 35. Calculate the remainder when (0 + 3)*p/(-9) is divided by 19. 17 Let x = 1368 - 1288. What is the remainder when x is divided by 39? 2 Let n = 109 - 76. Suppose 67 = 5*x - n. Calculate the remainder when 79 is divided by x. 19 Suppose r - 4*j + 5 = 0, 4*r + r = -5*j + 75. Suppose k - 18 = -2*x, -r*x + 14*x - 2 = k. What is the remainder when 15 is divided by k? 5 Suppose 3*n = -n - 80. Let t = n - -26. Let s(y) = -2*y - 4. Calculate the remainder when s(-7) is divided by t. 4 Let c = 911 - 434. What is the remainder when c is divided by 32? 29 Suppose -4*h - 1646 = -4*j + h, -2*j + 2*h = -824. What is the remainder when j is divided by 52? 50 Let y(z) = -4*z - 1. Let f be y(-2). Suppose 704 = v + f*v. Calculate the remainder when v is divided by 18. 16 Let o(z) be the second derivative of
{ "pile_set_name": "DM Mathematics" }
ger: -2/3 or -84? -2/3 Is -0.0257 <= 0? True Is -1/3 != -666? True Which is smaller: 0 or 1/1245? 0 Are -0.83 and 0.02 equal? False Is -0.241 > -0.13? False Is 3.3 <= 0.08? False Which is bigger: 1 or 1/3210? 1 Do 66 and 66 have different values? False Which is greater: 0.229 or 2/17? 0.229 Which is greater: -124 or -120? -120 Is -176 <= -174? True Which is greater: -12 or -11? -11 Is 76/243 < 1? True Are -5377 and -5378 non-equal? True Which is smaller: -5 or -129/23? -129/23 Is 142 smaller than 141? False Which is smaller: 2 or -10198? -10198 Which is bigger: -7/2252 or 1? 1 Which is smaller: -2/11 or -467? -467 Which is smaller: -4240/7 or -606? -606 Which is smaller: -1 or -2? -2 Is -4/4773 <= 0? True Do 1/68 and 1 have the same value? False Is -1758 equal to -1758? True Which is smaller: 2/80867 or 1? 2/80867 Which is smaller: 0 or -211? -211 Which is smaller: -1015 or -2/3? -1015 Which is bigger: 16/513 or 1? 1 Is -273/136 bigger than -3? True Are 349 and 353 equal? False Is 60 at least 60? True Which is bigger: 0 or -3/3050? 0 Which is bigger: -0.1 or 2/513? 2/513 Is -6 equal to -132/25? False Is -41.6 less than -2? True Which is bigger: -5 or 2229? 2229 Which is greater: 4294 or 4295? 4295 Is 146 less than or equal to 136? False Is 2 greater than 179? False Are 0 and -20934 unequal? True Which is smaller: -32 or -711/22? -711/22 Is -91 <= -84? True Do -13/25 and 0 have different values? True Which is smaller: 0.7 or -147? -147 Is 2/393 smaller than 1? True Which is smaller: 1 or -8/99? -8/99 Is 15 < 6? False Is 9/749 at least 1? False Which is smaller: 6/10205 or 1? 6/10205 Is 2 less than or equal to 0.0117? False Is 1 >= 2/141? True Is 1/43 less than -2/13? False Which is bigger: -11 or -16? -11 Does -2 = -15/19? False Is -162 at least -162? True Is 23 less than or equal to -6? False Is 1 at least 22/2449? True Which is smaller: 4632 or 27793/6? 4632 Is 0 < -2/73? False Is -10 bigger than -10? False Which is greater: -479 or -478? -478 Do -7 and -50/9 have different values? True Which is smaller: 0 or -2/11393? -2/11393 Is 9 less than 3/19? False Which is smaller: -2/5 or -240? -240 Which is bigger: 35 or -3/20? 35 Which is smaller: 4/44689 or 1? 4/44689 Is 1481 bigger than 1480? True Is 67 less than or equal to 28/3? False Which is smaller: 424 or 425? 424 Are -5 and -129/25 unequal? True Are 18/17 and 2 unequal? True Are 0 and -6/389 unequal? True Which is greater: 1 or 8/45? 1 Is -3 less than 1/17? True Which is bigger: 145 or 130? 145 Is 4 >= -53? True Which is greater: -1 or -6/19? -6/19 Which is greater: 0.407 or 2? 2 Which is bigger: -152 or -221? -152 Are -8138 and -8142 unequal? True Is -10 > 37? False Which is bigger: 7257 or 7256? 7257 Which is greater: -407/3 or -135? -135 Is 573 at least as big as 572? True Which is smaller: 0 or -24/677? -24/677 Which is greater: -48 or 0.04? 0.04 Which is smaller: 1 or -1/3775? -1/3775 Is -372 greater than -379? True Is 278 less than 1669/6? True Is 2 at most as big as 94? True Is -15505 greater than -15505? False Which is smaller: -20239/2 or -10120? -10120 Is -1 bigger than -173? True Is 805 at most 0.1? False Which is greater: -169/2 or 2? 2 Which is greater: 1650.1 or 0.2? 1650.1 Is 1 at most as big as -4/181? False Are 361 and 3/4 unequal? True Which is bigger: 1 or 9/43? 1 Is 907 smaller than 906? False Is -169 smaller than -673/4? True Is 0.2 less than -1.19? False Is -447 >= -457? True Which is smaller: 23 or 133/6? 133/6 Which is smaller: -218.9 or 0? -218.9 Is -8 greater than 198? False Are 14 and -0.47 nonequal? True Is -27.9 < 28? True Is -1406 at most as big as 5/4? True Is -1.1 smaller than 4/7? True Is -644 less than or equal to 4? True Which is bigger: 4/51 or 1? 1 Is 171 <= 1896/11? True Which is smaller: 2/7 or 22537? 2/7 Do -3492 and -13969/4 have the same value? False Which is smaller: 2.11 or 4? 2.11 Which is smaller: 21 or 25? 21 Which is smaller: 11 or 317/27? 11 Are -5849 and -5846 nonequal? True Which is smaller: -5 or -138? -138 Is -223 equal to -223? True Which is bigger: 35 or 495/14? 495/14 Which is smaller: 4 or 34/7? 4 Which is greater: -0.0489 or -1/2? -0.0489 Which is greater: 968/3 or 322? 968/3 Which is greater: -4/175 or -1? -4/175 Which is greater: 11193 or 11195? 11195 Is 23 equal to -1.75? False Which is bigger: 497/34 or 16? 16 Are 1 and 32/85 non-equal? True Which is bigger: -52/203 or -1? -52/203 Is -0.6 bigger than -1/323? False Which is bigger: -1 or 1/882? 1/882 Which is smaller: 0.1 or 119? 0.1 Is 122/969 at least 0? True Is -1189 at most -1191? False Which is greater: 257 or 263? 263 Which is smaller: 4/171 or 18? 4/171 Which is greater: -1/16153 or -1? -1/16153 Which is smaller: -3924 or -3923? -3924 Does -3/622 = -0.1? False Is 92 equal to 94? False Is -1 at least -29/181? False Is -19 at least as big as -13? False Which is smaller: -8 or -108? -108 Is -1/19951 smaller than 0? True Which is bigger: 1 or 10/2443? 1 Which is smaller: -9782 or -9778? -9782 Which is smaller: -539 or -540? -540 Is 53 >= 60? False Is 825 at least 816? True Which is smaller: -251 or -276? -276 Which is greater: -1 or -478? -1 Which is smaller: -65 or 0? -65 Does 1/8 = 2/1809? False Which is bigger: 3/92 or -1/49? 3/92 Is -1143 smaller than -1143? False Is 71 at most 73? True Which is greater: -2/17 or -1426? -2/17 Which is greater: -1/2 or 0.1? 0.1 Which is bigger: -74/9 or 18? 18 Is -48 less than -62? False Which is smaller: 33 or 31? 31 Are -1 and -9/46 unequal? True Are -6230 and -6229 equal? False Is 6286/9 equal to 697? False Which is bigger: -82/3 or -62? -82/3 Is -88 greater than -357/4? True Are 9 and 60 unequal? True Which is smaller: -16 or -14? -16 Which is smaller: 0 or -22/25? -22/25 Which is smaller: 0.2 or 2036? 0.2 Which is greater: -122 or -121? -121 Which is smaller: -297 or 2? -297 Which is greater: -635 or 6? 6 Is 203 < 203? False Which is greater: 1 or 1404? 1404 Which is greater: -195 or -105? -105 Which is smaller: 0 or 16/173? 0 Which is greater: 2 or 110/43? 110/43 Are 54/13 and 3 equal? False Is 798 smaller than 0.1? False Is 1937 not equal to 1936? True Which is bigger: 609/13 or 48? 48 Is 2516 greater than -0.1? True Which is smaller: 1/2063 or 0? 0 Is 22 at least as big as 18? True Which is greater: -2571/7 or -367? -367 Are 268 and 268 unequal? False Which is smaller: -3/1066 or 1? -3/1066 Which is greater: -175 or -177? -175 Is 5.4 at most as big as 12? True Which is greater: 0 or 15/16? 15/16 Are 24 and -2 unequal? True Is 6 bigger than 76? False Do -64 and -68 have different values? True Are -2147 and -2143 unequal? True Is -66 >= -68? True Is 58 at least 59? False Which is greater: -0.2549 or 5? 5 Is -22/3 at most as big as -6? True Which is smaller: 1/157 or 1? 1/157 Which is smaller: 59256 or 59255? 59255 Is 2/2285 bigger than -1? True Which is greater: 0 or -126/241? 0 Which is smaller: 186/35 or 5? 5 Is -3 <= -5000? False Which is bigger: -3 or 2? 2 Is -1629 greater than -1628? False Which is smaller: 4053 or 4052? 4052 Which is smaller: 327 or 329? 327 Which is smaller: -11/229 or 0? -11/229 Which is bigger: 94 or 32? 94 Is 0 greater than or equal to 1/147? False Is -631 at least as big as -5684/9? True Is -434 at most as big as -436? False Do -940 and -940 have the same value? True Is -4321 >= -4325? True Is 7447 greater than 7447? False Which is greater: -192 or 33? 33 Which is greater: 4 or 72/23? 4 Which is greater: -185 or -184? -184 Which is greater: -0.06 or 4.3? 4.3 Which is smaller: -3266/9 or -363? -363 Which is greater: 118/5 or 25? 25 Is -244 smaller than -1949/8? True Is 11 bigger than 85/8? True Are -50/99 and -1 non-equal? True Do 2 and 266 have the same value? False Is -2966 at most 3? True Is -8 < -470/53? False Which is smaller: 0.069 or -29? -29 Which is smaller: -2/29851 or -1? -1 Which is greater: -1 or -1/271? -1/271 Which is bigger: 1/6 or -3/4? 1/6 Is -2/61 less than or equal to -0.3? False Which is smaller: 0 or 2/11? 0 Is 1550 < 1550? False Which is bigger: -203/6 or -33? -33 Are 5 and -53/5 unequal? True Which is bigger: -8 or -135/19? -135/19 Is 1/2556 smaller than -0.5? False Which is greater: 525 or -1? 525 Which is smaller: 61 or 1/5? 1/5 Is -58 less than or equal to -73? False Does -1/2
{ "pile_set_name": "DM Mathematics" }
(-34). Let b = 557/5 + q. Is -7 > b? False Let v = 70 + -31. Let c = v + -33. Is 0.2 greater than c? False Suppose t = -6*t - 84. Let s be t/36*(-1797)/(-1). Let g = -7791/13 - s. Is 0 <= g? False Let l = 4.39 + -4.5. Let o = l - -0.31. Are 0.1 and o equal? False Let p = 15 + -14.9. Let i = -8.8 - p. Let s = -9 - i. Is s at most -10? False Let s(c) = -c**2 - 11*c + 14. Let n be s(-12). Suppose 5*t + 18 = -n*x, 2*x + 3 = t - 3. Let j be (-2)/x - (-3 + 2). Which is bigger: 2 or j? 2 Let l(z) = z**3 - 34*z**2 + 3*z - 103. Let a be l(34). Let w(n) = -n - 7. Let x be w(-5). Let s be 87/(-45) - x/6. Is s at least as big as a? False Suppose 3*m - 12 = -k, 0 = -2*k - m - 0 - 1. Let p be ((2 - -2)/(-2))/k. Which is greater: 0.33 or p? p Suppose 0 = 3*w - 1 - 65. Let n = -21 + w. Let z be (-2)/3 + (-16)/(-33). Is n equal to z? False Let c = 1996/117 - 242/13. Let y = -1 - -4. Suppose 2*b + y = 1. Which is bigger: b or c? b Let s be (-9 + 71/5)/(63/15). Which is bigger: s or 1? s Let g be 17484/(-108) - (-1)/(-9) - -1. Is -158 greater than g? True Let c(f) = 2*f**3 - 12*f**2 + 5*f - 30. Let q be c(7). Which is smaller: q or 101? 101 Let o be 288/21 + 4/14. Let y be 4/18 + (-1275)/27. Let r = -34 - y. Is o at least r? True Let g(a) = -a - 2. Let m be g(-2). Let f be m*((0 - -2) + -1). Let v be (6*2/16)/(-2). Is v != f? True Let n be 52 + (-2 - -6) - -4. Let b be 5/(n/(-21))*12. Let k = b + 17. Is k less than -3? True Let n be -2 - (5 - -2)/(-1). Suppose 3*h = -n + 14. Suppose y - 35 = -4*z, -y + 0 + 3 = 0. Which is smaller: z or h? h Let z be 56/237*225/(-150). Is 1 less than or equal to z? False Let l = 16 - 20. Let w be (l/(-6) - (-132)/(-225))*-5. Which is smaller: -3/26 or w? w Let u be 5 + (-5 - (-8)/4). Suppose 9 = -0*w - 5*w - 4*h, 2*w = u*h. Does w = -4? False Suppose 0 = 8*w - 0 - 984. Is w at least 1? True Let m be 7 - 5 - (2 - 21). Let y = m + -42. Are y and -20 equal? False Let v = 140 - 61. Let q = v + -75. Which is bigger: q or -1? q Let w = 3.4 + -1.4. Which is greater: w or -18? w Let c be (-5)/(-2)*(0 + (-230)/(-25)). Which is greater: 12 or c? c Suppose 0 = 4*o + 3 - 11. Let f be 0 + (1 - (0 - 63)). Let h be (-48)/f + 66/(-8). Which is bigger: h or o? o Let i be (-6)/(5652/(-2838)) + -3. Do -1 and i have the same value? False Let s = -0.54 - -0.14. Let x = s + 5.4. Let i = 0.05 + 0.05. Is x at least as big as i? True Let m = 32 + -24. Let u be (5 + (3 - -1 - m))/1. Which is smaller: 0 or u? 0 Suppose -5*t - y + 5*y = -25, 3*y + 16 = t. Let m be (30/(-110))/(t/2). Which is smaller: m or -2? -2 Let o = 24 - 17. Let t = o - 1. Suppose 4 = i + d, -d - 60 = -3*i - 40. Do i and t have the same value? True Let f be 2*(3 - 174)/(-3). Let g be (-100)/f + (-10)/(-15). Do 0 and g have different values? True Suppose o = -0*o + 2*p - 1, -o = -3*p + 4. Suppose 4*q = -o + 1. Let z be 4 - (q + 5 - 4). Which is smaller: 20/7 or z? 20/7 Suppose 102 = -m + 3*m + 3*f, -2*m = 4*f - 104. Let c be 2/6 + (-16)/m. Suppose 3*t - 15 = c, 0*t - 3*t + 14 = -g. Is g < 0? False Let m = -124 - -123. Is m at least as big as 0.27? False Let w(j) = -j**3 + 6*j**2 - 3*j + 3. Let s be w(3). Let f = -2 + 3. Suppose -y + f = -5*n + s, 0 = -2*y - n + 4. Which is greater: -5/8 or y? y Let z be (-833)/204 - (3 + -7). Which is greater: z or 0? 0 Let q = -29.863 - -0.563. Let f = q + 28. Let v = -1.2 - f. Which is bigger: v or -0.2? v Let q be 12 + 1 + -1 + 2. Let c = -39 + 48. Let l be 432/30 - c/(-15). Is q less than l? True Let x be (-1)/6*(-16)/68. Which is greater: x or -1? x Let c be 2/(-2) - (0 - -6). Let f = -16737 - -16730. Are c and f non-equal? False Suppose -2*v - 7*o + 39 = -10*o, 0 = 4*v + 4*o - 68. Let w be 53 - (21/(-9) - (-6)/v). Is 56 equal to w? False Let l(v) = -v**2 - 15*v + 11. Let p be l(-37). Do p and -803 have the same value? True Let o be (75 + -1)/(10*(-2)/(-20)). Does o = 68? False Let j(b) = -b. Let x(i) = -i**3. Let k be x(0). Suppose -v + k*v = -3. Let h be j(v). Do -8/3 and h have the same value? False Let m be 12/54 + 92/(-9). Let w = m - -19. Let k = 25 - 16. Is k greater than w? False Let h be (-4)/(-3 + 1) + -12. Let z be (-15)/102*((-12)/h + -1). Is z not equal to 1? True Let y be 8/3 - 1/(-6)*-4. Suppose j = 5*n + 10, n + y - 6 = -j. Which is smaller: 3/8 or n? n Let i = 4 + -2. Suppose m - 5 = -4*h, -m + i*h - 1 = -0*h. Let y = -2024/15 - -135. Do y and m have different values? True Let o(v) = -v**3 + 25*v**2 + 87*v - 77. Let x be o(28). Suppose 44 = 5*i + 3*u, -42 = -3*i + 3*u - 6. Which is smaller: i or x? x Let u(k) = -k**3 - 4*k**2 + 3*k - 5. Let t be 12/(-8)*(-8)/6. Suppose -2*y - 3*z + t + 3 = 0, 40 = -5*y + 3*z. Let l be u(y). Is 11/2 less than l? False Let u be (4 - 1) + 0 + 2. Let a = u - 4. Do a and 4/7 have different values? True Let z be 0 - 221*1/(-4). Let b be (-25881)/72*4/(-26). Let k = z - b. Which is smaller: 0 or k? k Suppose 4*k - 2*k - 4 = 0. Suppose 4*l + 0*u + 2*u = -40, l + k*u + 16 = 0. Let w be (-2)/6*(l - -4). Is w <= 1? False Let v be 206 + (2 + (-18)/(-3))/2. Is v != 210? False Let q = 10 - 7. Let t be (117/q)/((-6)/(-4)). Let x = -65/3 + t. Which is smaller: 3 or x? 3 Suppose -2*c - 743 = -283. Is -228 >= c? True Suppose 0 = f - 4*q + 10, 3*q + 7 = -3*f - 8. Let d be (-1 - -3) + 14/f. Is 20 >= d? True Let t = -454 - -453.9826. Are -1/3 and t unequal? True Let j be (2/(-7))/(3/7). Suppose 30*m = 25*m + 45. Suppose 0 = -7*v - 5 - m. Is v not equal to j? True Suppose -85 = -4*k + 9*k. Let b(t) = t + 18. Let w be b(k). Let c be 10/8 - (-4)/16. Which is greater: c or w? c Let a = -10 + 18. Suppose -294 = a*s - 2*s. Is -50 at least as big as s? False Suppose 4*c = 2*k + 10, -5*c + 4*c - 3 = 5*k. Let m be 128/6 - c - 6/(-9). Are 22 and m nonequal? True Let u(a) = 14*a + 7. Let f be u(-4). Let c = -48 - f. Let l = 1604/10257 - 2/789. Is l <= c? True Let i = 8.69 + -9. Let d = 0.19 + i. Let g = -0.1 + 0. Which is greater: g or d? g Let r = -6 + -2. Suppose 120 = -7*g - 8*g. Is g at least r? True Suppose -19 = -5*l - m + 42, l = 3*m + 25. Suppose 15*h = l*h. Which is smaller: 42 or h? h Let s be ((15/87)/5)/(-2 - -3). Which is smaller: s or -1? -1 Let a = -3 + 3.1. Let z = 88.6 + -88.642. Is a smaller than z? False Let l = 327 + -333.87. Let r = l + -0.13. Let s = 7 + r. Which is smaller: s or 8? s Let k be 2/(-8) + 4/(-240). Let w(q) = -q**2 + 21*q + 45. Let c be w(-2). Which is bigger: k or c? k Let y be (6 - 1) + -4 - -4. Suppose -l = -y*l - 56. Which is smaller: l or -1? l Let j = 11265 + -11343. Suppose -2*l - t - 141 = -6*t, 4*t + 12 = 0. Is l greater than j? False Suppose -5*m = -q + 227 + 59, -4*m - 4 = 0. Is q greater than 281? False Let l(w) = -w**2 + 4*w. Suppose 6 = -m + 2*o, 0*o - 25 = -5*o. Let p be l(m). Let s be (-52)/(-21) + ((-284)/28 - -9). Are s and p nonequal? True Suppose -5*x + 8 + 4 = -3*b, 2*b - 2*x + 4 = 0. Is -4/499 at least as big as b? False Let s = 18 - 23. Let l = s - -6. Is 2 at most as big as l? False Suppose 0 = 3*v - 5*i - 33, 5*v - 4*i - 34 = 34. Let z be 1/(-8)*v/(-8). Let j = -31 - -31.4. Which is greater: j or z? j Let t be (-2 - (-51)/45) + 8/10. Is 0 > t? True Let m(f) = f**2 + 6*f - 6. Let x be 47/(-7) - 4/14. Let v be m(x). Let j = -1657 - -19885/12. Which is smaller: j or v? j Let f = 29 + -43. Let u = 14.2 + f. Which is bigger: u or 1? 1 Let y be 4*(0 + -1) - (-11319)/(-87). Let p = y - -134. Is p <= 1? True Let k = 3787/3036 + 2/759. Is k less than 1? False Let l(p) = 4*p - 1. Let s be l(3). Suppose z = 5*y + 12, 3*z + 2*y + y = 0. Suppose q - s = z*q. Is 2/3 greater than q? True Suppose -2*m - 21 + 7 = 0. Let i = 786 - 5484/7. Let k = i + -47/21. Is m bigger than k? False Suppose 4*z - 2*k + 52 = 0, -86*z = -85*z + 2*k + 3. Let a be ((-4)/(-5))/(-1)*-5. Which is smaller: z or a? z Let v = 949 + -18043/19. Let n = -53 + 51. Is n < v? True Let b(f) = 16*f - 5. Let p(u) = 46*u - 14. Let i(z) = 17*b(z) - 6*p(z). Let c be i(0). Which is smaller: c or -7/6? -7/6 Suppose -2*q = 4*o - 26, 10 = 5*q - o - 0. Suppose q*c = -c. Let d(p) = p**2 + 15*p + 29. Let k be d(-13). Are c and k unequal? True Suppose -1016 = -75*o + 79*o. Which is smaller: o or -255? -255 Let a(l) = 2*l**2 - 10*l - 4. Let u be a(8). Let h = u - 19. Let c be -1 - h*2/(-46). Which is greater: -1 or c? c Let d(t)
{ "pile_set_name": "DM Mathematics" }
j**2 - 3. Let p(z) be the third derivative of y(z). Let q(l) = l**2. What is p(q(v))? -v**2 Let y(s) = -10*s - 9. Let j(t) = t + 1. Let v(o) = -18*j(o) - 2*y(o). Let h(n) be the second derivative of -n**4/6 - 157*n. Determine h(v(m)). -8*m**2 Let t be (-25)/(-10) - 273/126. Let w(h) be the first derivative of 0*h - 5 + 0*h**2 - t*h**3. Let i(k) = -7*k. Determine i(w(g)). 7*g**2 Let i(v) = -32*v**2 - 6*v + 6*v. Let a(k) be the third derivative of k**4/24 - 256*k**2. What is i(a(z))? -32*z**2 Let s(x) = -2*x**2. Let g(i) = -591788*i**2. Calculate g(s(c)). -2367152*c**4 Let x(t) = -4*t**2 + 9*t + 5. Let u(c) = 29*c**2. Calculate x(u(v)). -3364*v**4 + 261*v**2 + 5 Let y(j) = -45*j. Let n(t) = -91*t**2 - 8*t - 15. What is n(y(f))? -184275*f**2 + 360*f - 15 Let u(x) = -58*x**2 - 3*x - 16. Let l(k) = k. Determine u(l(t)). -58*t**2 - 3*t - 16 Let x(z) = 2*z - 3. Let r be x(4). Let m(p) = -33*p + 167. Let b be m(5). Let u(d) = 5 - 7*d**b - r. Let j(s) = s**2. Calculate u(j(n)). -7*n**4 Let z(d) = 619*d**2 + 4*d. Let h(j) = 12*j. What is h(z(s))? 7428*s**2 + 48*s Let n(o) be the second derivative of o**4/4 - 12*o. Let b(g) be the third derivative of g**4/12 - 11*g**2. Determine b(n(c)). 6*c**2 Let x(z) = z. Let y(m) = -125016*m**2. Give x(y(k)). -125016*k**2 Let s(y) = -2*y**2. Let m(f) be the second derivative of 0 - 24*f + 0*f**2 + 0*f**3 - 77/12*f**4. Give s(m(z)). -11858*z**4 Let z(r) = 7*r**2 + 4*r. Let w(j) be the third derivative of -j**6/360 + 2*j**3 + 22*j**2. Let u(s) be the first derivative of w(s). Calculate z(u(f)). 7*f**4 - 4*f**2 Let g(u) = -2*u**2. Let a(y) be the third derivative of 1/2*y**4 + 0*y**3 - 30*y**2 + 0*y + 0. Give a(g(c)). -24*c**2 Let v(u) = -2*u. Let w(q) = 8*q**2 + 25*q - 2. Give v(w(r)). -16*r**2 - 50*r + 4 Let x(j) be the second derivative of -17*j**4/12 + 99*j + 2. Let g(i) = -i. What is g(x(y))? 17*y**2 Let w(k) = 32415*k. Let l(n) = n**2. Determine l(w(j)). 1050732225*j**2 Let q(d) = -2*d**2. Let y(l) be the first derivative of 113*l**3/3 - 112. Give q(y(g)). -25538*g**4 Let d(q) = -38*q**2 - 16*q - 3. Let n(t) = 25*t**2 + 10*t + 2. Let h(k) = -5*d(k) - 8*n(k). Let a(c) = -10*c**2. Determine h(a(w)). -1000*w**4 - 1 Let w(a) = 2*a. Let g(q) = -295360*q. What is g(w(j))? -590720*j Let h(t) = t. Let g(x) = -330*x**2 + 2350. Determine g(h(c)). -330*c**2 + 2350 Let j(l) = 3731*l**2 - l. Let v(x) = 37*x. Give v(j(t)). 138047*t**2 - 37*t Let h(n) = 2*n. Let t(y) = -68664*y. What is h(t(r))? -137328*r Let o(l) = -3*l. Let d(y) be the first derivative of -99*y**2/2 + 261. Give d(o(t)). 297*t Let z(h) = -73*h - 2. Let c(q) = q + 1. Let p(d) = 10*d + 8. Let m(v) = -8*c(v) + p(v). Determine m(z(y)). -146*y - 4 Let y(i) = 212*i**2 + 2*i. Let w(a) = a - 2. Give w(y(l)). 212*l**2 + 2*l - 2 Let k be (-16)/(-24) - 22/(-3). Let r = k - 6. Let f(y) = r*y**2 + 5*y - 2*y - 3*y. Let a(v) = -11*v**2. What is f(a(q))? 242*q**4 Let r(g) be the third derivative of -g**5/12 + 280*g**2. Let i(k) = 64*k. Give r(i(q)). -20480*q**2 Let j(c) = -3*c**2. Let g(h) be the third derivative of h**7/840 - h**4/24 + 15*h**2. Let i(p) be the second derivative of g(p). Determine j(i(s)). -27*s**4 Let h(w) = -23*w + 21*w + 85 - 85. Let r(u) = -9*u**2. Give h(r(l)). 18*l**2 Let a(q) = 601*q**2. Let t(x) = x + 55. Calculate a(t(r)). 601*r**2 + 66110*r + 1818025 Let u(n) = -161*n**2 - 102*n - 6. Let b(z) = 10465*z**2 + 6647*z + 391. Let w(f) = -6*b(f) - 391*u(f). Let d(s) = 4*s. Give w(d(a)). 2576*a**2 Let z(v) = -9*v**2 - 4*v - 4. Let u(p) = -2*p**2 - p - 1. Let k(a) = -12*u(a) + 3*z(a). Let w(x) = -105*x. Determine k(w(f)). -33075*f**2 Let u be 4/6*372/8. Let r(h) be the first derivative of -31*h + u*h - 1 + 2*h**3. Let t(a) = -2*a**2. Determine r(t(j)). 24*j**4 Let d = 16 + -17. Let v(k) = -1. Let x(m) = -m + 4. Let a(i) = d*x(i) - 4*v(i). Let f(q) = -3*q. Calculate f(a(w)). -3*w Let q(m) = -2*m. Let b(y) = -y**2 + 6*y - 3. Let x be b(5). Let n be (x/(-3))/(8/(-24)). Let c(w) = -3*w**2 + 2*w**2 - 5*w**2 + 5*w**n. Give q(c(v)). 2*v**2 Let n(t) be the third derivative of t**5/60 + 6*t**2. Let d(b) be the first derivative of -15*b**2 + 41. What is d(n(k))? -30*k**2 Let o(j) = 4*j. Let m(b) = -b**3 + 9*b**2 - 10. Let h be m(6). Let v(g) = 46*g + 51*g - h*g. Give o(v(n)). -4*n Let q(l) = -l**2 + l. Suppose -3*a = 3*a - 36. Let z(h) = 32*h**2 - 34*h. Let i = -498 - -702. Let c(b) = a*z(b) + i*q(b). Let s(k) = k**2. Calculate s(c(f)). 144*f**4 Let i(m) = m**2 - 2. Let w(c) = -14 + 159*c + 14 - 156*c. Give i(w(f)). 9*f**2 - 2 Let z(g) = -136*g - 4*g**2 + 136*g. Let l be -4*(-3 + 2/(-2)). Let o(a) = a - l + 16. Determine o(z(k)). -4*k**2 Let s(a) be the third derivative of a**5/12 + a**4/24 + 105*a**2 - 2*a. Let p(c) = 6*c**2. Calculate s(p(t)). 180*t**4 + 6*t**2 Let k(z) = 5*z**2 + 11*z**2 - 8*z**2. Let x(w) = -40*w**2. What is k(x(a))? 12800*a**4 Let q(r) = r**2. Let i(h) = 24 + 41*h**2 - 1 - 18. Determine q(i(a)). 1681*a**4 + 410*a**2 + 25 Let s(q) = 4431*q + 2. Let b(x) = 70*x. Calculate s(b(t)). 310170*t + 2 Let n(g) = 40*g**2. Let z(x) = 2469*x**2. Determine z(n(l)). 3950400*l**4 Let g(l) = l**2 - l + 74. Let q(h) = -h. Determine q(g(o)). -o**2 + o - 74 Let x(n) = 4*n**2 - 2*n**2 - 2*n**2 - 4*n**2 + 2*n**2. Let s(m) = m**2 - m**2 - m**2. Determine s(x(k)). -4*k**4 Suppose 5*t = 6*t. Let r(g) = t*g + 2*g - 4*g. Let b(a) = -46*a - 46*a - 54*a + 139*a. Give r(b(v)). 14*v Let f(p) = -3*p. Let k(n) = -16*n - 2 - 401*n**2 + 5 - 3 + 404*n**2. Determine k(f(z)). 27*z**2 + 48*z Let z(a) = 30*a. Let f(d) = -d - 3. Let b(t) = 2 - 1 - 1 - 2. Let j(m) = 3*b(m) - 2*f(m). Determine z(j(o)). 60*o Let c(t) = -676*t**2. Let u(h) = -497*h**2. Calculate u(c(k)). -227117072*k**4 Let w(u) = -3*u**2. Let r(z) = 185542*z. Give w(r(n)). -103277501292*n**2 Let y = -1 + 1. Suppose y = -2*b - b. Let v(s) = b*s**2 + 3 + 2*s**2 - 3. Let z(g) = 12*g**2. Calculate z(v(m)). 48*m**4 Let c(u) be the first derivative of -6*u**2 + 2*u**2 + 1 + 5*u**2. Let i(v) = -10*v - 12*v + 24*v. What is i(c(h))? 4*h Let a(l) = 3*l**2. Let u(h) be the first derivative of 29*h**2 - 2*h - 105. Determine a(u(k)). 10092*k**2 - 696*k + 12 Let r(t) = -59508*t. Let f(p) = 22*p. Determine f(r(k)). -1309176*k Let v(i) = -1553*i + 3095*i - 1551*i. Let o(l) = 26*l**2. What is v(o(f))? -234*f**2 Let r(j) = -8694*j + 5. Let q(p) = -7*p. Calculate r(q(c)). 60858*c + 5 Let f(l) = l - 2*l - l. Let o(q) be the first derivative of 5*q**3/3 + 98. Calculate o(f(a)). 20*a**2 Let q(y) be the first derivative of y**6/24 + 3*y**3 - 6. Let k(m) be the third derivative of q(m). Let v(c) = c**2. Give v(k(i)). 225*i**4 Let d be ((-1692)/(-18))/(-1 + 2). Let f(w) = -60 + d*w**2 + 60. Let g(i) = -2*i. Determine f(g(a)). 376*a**2 Let j(l) be the second derivative of 0*l**2 - 2/3*l**3 + 0 - 50*l. Let w(r) = -29*r. Give w(j(q)). 116*q Let j(i) = -3*i**2 - 2. Let k(p) = -43*p - 75. Give k(j(a)). 129*a**2 + 11 Let f(u) = 9*u. Let p(g) = -g**2 - 20*g + 3. Let z be p(-19). Let n(c) = 21*c**2 - z + 22 - 18*c**2. Give n(f(o)). 243*o**2 Let y(f) = f**2. Let x(w) = -w**3 - w**2 - 2*w + 4. Let j be x(-3). Let s(z) = -z**2 + 9*z**2 - 28 + j. Calculate y(s(h)). 64*h**4 Let w(r) = 7*r**2. Let m(s) = 918*s**2. What is w(m(x))? 5899068*x**4 Let a(x) be the first derivative of 2*x**3/3 - 108. Let p(t) = -2*t + 110. What is a(p(y))? 8*y**2 - 880*y + 24200 Let i(d) = -4*d - 3. Let l(k) = 6*k + 5. Let w(x) = -10*i(x) - 6*l(x). Let f(z) = 5*z. What is w(f(b))? 20*b Let s(l) = -23*l. Let n(r) be the second derivative of 19*r**4/12 + 281*r. Calculate n(s(m)). 10051*m**2 Let l(o) = 5*o + o + 2*o. Let u(c) be the first derivative of c**3/3 + 7*c - 10. Let h(n) be the first derivative of u(n). Give h(l(j)). 16*j Suppose -4*x + 12 = 0, 4*o + 0*x = -x + 39. Let k(f) = f**2 - f + 2. Let i be k(0). Let z(j) = -o*j + j - i*j + 11*j. Let d(g) = -6*g. Calculate d(z(q)). -6*q Let n(v) = 31030*v - 12. Let b(a) = a**2. What is n(b(m))? 31030*m**2 - 12 Let u(z) = 6476*z**2. Let m(b) = 31*b. Calculate u(m(v)). 6223436*v**2 Let k(o) be the first derivative of -65*o**2 + 38. Let n(t) = -2*t. Determine n(k(g)). 260*g Let h(t) = 3*t + 4. Let q(o) = -4*o - 5. Let s(i) = -5*h(i) - 4*q(i). Let v be 0 + 4 + 0/2. Let r(u) = 5*u + v - 4. Give s(r(x)). 5*x Let d(w) = -175*w. Let o(j) =
{ "pile_set_name": "DM Mathematics" }
*((-128)/12)/8. 16/7 Calculate (12/14)/(30/16*((-25012)/(-1820))/37). 16/13 What is the value of (4/(-7))/((-232)/(-354032)*109)? -8 What is 55*(2356/1520)/(-31)? -11/4 Calculate (-58)/(-290)*11/121*-3. -3/55 What is the value of 7/2*((-48)/(-30))/((-5040)/(-300))? 1/3 (-16)/(-14)*(98/210)/(1/(-5)) -8/3 What is ((-7)/(252/(-12))*(-1)/(-2))/((-44)/704)? -8/3 Calculate 228/(-38)*(-11)/((-77)/(-28)). 24 ((-36)/(-19))/(4630/(-43985)) -18 Calculate -99*(-335)/1474*(-8)/6. -30 (38/(-627))/((-208)/212784) 62 (6/(-180)*1200/(-24))/(20/336) 28 ((-5)/(-1))/5*((-56)/112)/(2/(-20)) 5 Calculate (18/27)/(9*(-48)/16524)*(-3)/18. 17/4 What is the value of 171/570*(-325)/156? -5/8 Evaluate 3546/3940*(-8)/(-9)*30/12. 2 Evaluate 48/2808*26*9/72*-36. -2 Calculate (2/(-14))/(22/(((-462)/(-11))/(-6))). 1/22 What is the value of 218/1199*(-27)/162? -1/33 What is the value of (20/(-78))/(1620/84564*-87)? 2/13 What is 4/((-39)/(25272/3168))? -9/11 Evaluate (((-68)/272)/(2/(2232/3)))/((-1)/(-1)). -93 Evaluate (((-4032)/560)/(4/(-100)))/(((-84)/(-6))/(-7)). -90 What is (-9)/(-156)*4120/4635*(-6)/(-4)? 1/13 (16/(-10))/((-23)/(-37375)*-10*-5) -52 What is (-14)/222*3/(-84)*-24? -2/37 500/((-375)/(-15))*(-1)/(((-5)/(-1))/(-5)) 20 Calculate 48/324*-12*7/616. -2/99 Calculate ((-1)/(-5)*(-14)/(-7))/6. 1/15 ((-10)/(-12))/((-34)/68)*(-378)/10 63 What is (-1*12/(-860))/((-10)/(-25))*(-132)/99? -2/43 Evaluate (-3)/(-3*2)*13770/(-153)*2/(-6). 15 Evaluate (1/(32/(-10)))/(20/(-8)*72/540). 15/16 Calculate (15/(-100))/((-1719)/176484). 77/5 Evaluate 4*(-20)/(-2368)*2240/700. 4/37 What is the value of (179/(-895))/(2/30)? -3 Calculate (48/80)/(3/(-6))*(-270)/3402. 2/21 Calculate (19425/4200)/((-2)/16). -37 Calculate (84/(-672))/(3*6/(-8496)). 59 What is the value of ((-54)/15)/(-6)*5/21*(-70)/(-1240)? 1/124 Evaluate ((-56)/(-196))/((-1)/(-140)). 40 What is the value of (-22*(-490)/(-7546))/((-26)/6*(-6)/(-14))? 10/13 ((-8)/(-10))/(-31*(-54)/22599) 54/5 Evaluate 488640/(-32576)*(-2)/5*(6/(-10))/(-3). 6/5 Calculate (-148)/(-4)*-2*(-13)/52*-2. -37 What is 150/100*480/36? 20 (66/143)/(-19*(-42)/148694) 86 (27*12/(-270))/((-25)/(1875/(-1035))) -2/23 What is the value of ((128/14)/(126/294))/((644/(-42))/(-23))? 32 Calculate (3*6/8)/((16905/(-196))/115). -3 380/(-912)*8*(-18)/4 15 What is (156/252)/((-100)/57750*-55)? 13/2 Evaluate (762/(-3810)*(-10)/8)/(-3*1/(-492)). 41 What is the value of (5670/108)/((-11)/(616/189)*2)? -70/9 (828*(-128)/(-18432))/(1/(4/(-1))) -23 Calculate (((-518840)/(-4760))/(1*7))/(2/14). 109 Calculate (-22)/(-12)*(-101)/(-1111)*10/45. 1/27 What is the value of (-2000)/8500*1547/7? -52 What is ((-12)/(-4))/((-7)/(-15*(-98)/630))? -1 ((((-55)/(-10))/(-11)*10)/((-30)/(-12)))/122 -1/61 Calculate 9/(-2)*2/(-12)*(155584/16575)/(-704). -1/100 What is the value of (-1*(80/(-125))/(-4))/(53/(8480/704))? -2/55 Calculate (319/(68904/576))/((-11)/3). -8/11 What is ((-3)/1326)/(-1)*(-195)/(31200/640)? -2/221 Calculate ((-85)/(-34))/(((-2829)/328)/(-23)*20/(-18)). -6 What is the value of (-12*(-22)/4)/(26/(-16)*6620/21515)? -132 Evaluate ((-614232)/170620)/(2*1/15). -27 Calculate 310/(-5115)*(-4)/((-96)/(-108)). 3/11 What is the value of ((-56)/(-1))/(((72/100)/(-9))/((-4)/50))? 56 Evaluate ((-12)/9)/(((-483600)/(-100))/93). -1/39 ((-9270)/412)/((1/(-28))/(62/(-651))) -60 Calculate ((16/30)/(-4))/(5/750*1170). -2/117 What is the value of (-1*(-2)/(-5))/(((-486)/135)/18)? 2 What is the value of ((-75)/(-35))/(80*41/9184)? 6 What is ((-13)/(-10))/(54/12420*-23)? -13 What is (-580)/(-2175)*(-198)/2*(-30)/(-12)? -66 What is the value of (145/(-10))/((-1276)/44)*-206? -103 What is (-25)/((1*(-2)/(-5))/((-107)/(32635/(-122))))? -25 (2/26)/((258/(-120))/(-43)*-2) -10/13 (1/5)/(26*(-18)/(-21060)) 9 (-6)/(-10)*4845/(-51)*4*(-2)/(-8) -57 Evaluate (-65*28/50596)/(((-150)/(-12))/5). -2/139 Calculate (-88)/(-6072)*(-6394)/(-417). 2/9 What is the value of (735040/(-64316))/(3/(189/(-24)))? 30 What is ((155820/1323)/(-212))/(1/2*-2)? 5/9 What is ((-2)/2)/((2639/(-29))/(-8099))? -89 Calculate (640/(-48)*5*27/90)/((-2)/4). 40 What is 3/(-4)*(-1248)/117*(-340)/(-40)? 68 What is ((-124)/6665)/((6/20)/((-699)/932))? 2/43 What is ((6/2)/(10*15/50))/((-281)/(-8149))? 29 Evaluate ((10/(-45))/((-11704)/693))/(2/32). 4/19 Calculate (493/174*42)/((-77)/(-22)). 34 What is the value of 4/1*10*(3/2)/(7749/(-861))? -20/3 Calculate ((-105024)/21880)/(4/35). -42 (848/530)/((-21)/(13230/24)) -42 Evaluate (3632/(-454))/(164/2747). -134 What is -72*(-468)/(-104)*2/(-24)? 27 What is (98/4)/(((-75)/(-975))/((-2)/(-91)))? 7 Calculate (((-8)/6)/(14/(-14)))/((5632/16)/(-16)). -2/33 Calculate (6/(-11))/(47/123046*-56)*2/(-1). -51 What is the value of (7/4*1288/(-2254))/(-1*86)? 1/86 What is the value of 86*122/(-10492)*(-2)/((-1)/(2/152))? -1/38 Calculate 5/((((-4400)/42)/(-4))/(2896/5068)). 6/55 Evaluate (-2)/(-4)*((-24)/30)/((-20)/1550)*-1. -31 What is 45*(-45)/600*-4*(-4)/(-66)? 9/11 What is the value of 2/50*185/(-1221)*22? -2/15 Evaluate (((-7)/((-175)/15))/((-864)/1080))/((-2)/72). 27 Calculate ((-608)/95)/(((-1656)/(-920))/((-3)/(-2))). -16/3 ((-15)/195)/((-3)/78)*1/((-102)/3) -1/17 Evaluate ((-6)/((-84)/49))/(74/(-444)). -21 What is (-34)/2*-15*(-11808)/(-35424)? 85 (-8*(-117)/416)/(369/(-82))*-50 25 What is ((-4)/(-138))/((-984)/11316)? -1/3 (((-84)/(-14))/1)/((-54)/51) -17/3 Evaluate 77*586/(-338415)*(-2)/(-4)*-21. 7/5 ((-18)/428)/(((-46)/(-46))/((-8)/36)) 1/107 What is the value of (-2)/((-2)/27)*29/(3625/(-375))? -81 What is (-26)/(-15912)*-34*-846? 47 What is the value of (144/180)/(135/(-225))? -4/3 What is (-2)/6*(-15)/(420/(-28))? -1/3 What is (-520)/(-40)*768/264576? 2/53 Calculate ((-3)/1)/((159/(-265))/(2574/2535)). 66/13 Evaluate ((-27)/279)/(126/(-9114)). 7 Evaluate (19/95)/(19/(-3705)). -39 2680/123950*5/(-8)*-1 1/74 What is (302/1208)/(24/(-64)*26)? -1/39 ((-175)/70)/((-14)/(-8))*28/8 -5 (15/4)/((42/63)/((-5)/((-270)/(-192)))) -20 What is (-24)/(-6)*20/16? 5 Calculate ((-40)/(-120)*550/5)/(5/6). 44 What is the value of 8/(4*-1)*(-4854)/(-698976)? -1/72 1*4*((-90)/(-140))/((-3)/714*12) -51 Calculate (-108)/3096*3*7*(-28)/(-882). -1/43 Calculate 2723/(-8169)*(-2)/(-7). -2/21 Calculate (-520)/(-10)*(-16)/(-240)*-15. -52 What is the value of (3/((-102)/(-17)))/(46/3220)? 35 Evaluate (-6*9/135)/(88/1012). -23/5 What is the value of (2896992/(-5828472))/(1/((-13)/2))? 42/13 Evaluate (1*32)/2*-48*(-39)/3744. 8 What is 1/28*-5*98/(-343)*468/(-195)? -6/49 What is (2064/2752)/(1/((-2)/3))? -1/2 What is (4/18)/((-92)/(-6)*(-4)/(-12))? 1/23 What is the value of (1*12/4)/(172/6*84/(-56))? -3/43 What is (1*4/(-11))/((-5170)/1393315)? 98 What is (((-195)/(-52))/(-1))/(17/(-272)*10*1)? 6 Evaluate 1/(((-4)/10)/(456/30)). -38 What is the value of ((-42)/3192*0)/(-5)? 0 Calculate (-7)/((-147)/35)*(-104)/(-130)*135/(-6). -30 Calculate (24252/(-6708))/((-15)/(-195)). -47 (11/(-11))/((-40)/160*24/(-642)) -107 342/(-16)*44/33*192/288 -19 ((4/21)/((-424)/371))/((-10)/(-4)) -1/15 (124/(-364560)*-120)/(((-88)/7)/4) -1/77 What is the value of 217626/340632*((-24)/(-69))/4? 1/18 What is the value of ((-28196)/30210)/(14/(-120))? 8 Calculate 3/(180/405*3/(-8)). -18 What is (3432/2457)/44*91? 26/9 What is the value of (-7767)/108738*504/(-1)? 36 What is (1/((-51)/(-799)))/(3*-7*2/(-126))? 47 What is the value of ((-208)/(-208))/(65/247)? 19/5 Evaluate ((-348)/15515)/1*(-140)/504. 2/321 What is the value of (10/((-2450)/(-1127)))/(2/20)? 46 Evaluate ((292/(-16))/(-1))/(30/(-4)*93/(-2790)). 73 Evaluate -4*10/(-1840)*11/((-154)/(-56)). 2/23 What is the value of ((-330)/(-84)*21/((-840)/(-32)))/((-2)/(-42))? 66 What is the value of (4/(16/15))/((-10242)/27312)? -10 801/(44055/(-440))*((-114)/(-16))/1 -57 667/(-29)*(-26)/78 23/3 What is the value of ((-52)/(-30))/((24/80)/((65/(-5))/26))? -26/9 What is (33/(-6))/(4/56)*(-7947)/(-6181)? -99 What is the value of (84/27)/(((-1)/(-3))/(8/144*-9))? -14/3 (((-100)/(-240))/5)/(1/(-8)) -2/3 What is the value of ((1020/8)/17)/(((-25)/(-210))/((-44)/(-77)))? 36 What is ((-38)/(-228))/(259/(-111))? -1/14 Calculate (12/(-49))/((-25)/2275*26). 6/7 Calculate (2/(-3)*(-9)/(-8))/(4330/190520). -33 -7*249/((-216132)/(-2480)) -20 Calculate -10*17*(-15)/510. 5 What is the value of ((-968)/(-792)*-
{ "pile_set_name": "DM Mathematics" }
the third derivative of t**4/12 - 4*t**3/3 - 3*t**2. Let g be p(5). Solve g*i + 7 = -3 for i. -5 Let y(x) = -x**3 + 35*x**2 + 34*x + 72. Let b be y(36). Let n be -1 - (0 - (82 + -1)). Suppose b*v + 4*v = n. Solve -3*q = q + v for q. -5 Suppose 5*u = -5*i + 55, -u + 3*i + i = -31. Solve -19 + u = 4*p for p. -1 Let n(o) = o + 11. Let q be n(-8). Suppose -5*u + 8 = 4*d - 3, -q*d = -u + 6. Let h be (-122)/(-10) + u/(-15). Solve -h = 3*w - 0 for w. -4 Let y = -8 - -8. Suppose 5*h - 7*h + 40 = y. Suppose z + 16 = 5*z. Solve z*a - h = -0*a for a. 5 Suppose y - k - 2 = 1, 9 = 4*y - k. Suppose -5*z - y*u + u = -166, -4*u + 52 = 2*z. Suppose -4*b = -z + 6. Solve b + 1 = 2*s for s. 4 Let m(b) be the third derivative of -b**5/120 + b**4/6 - b**3/6 - b**2. Let s(y) be the first derivative of m(y). Let o be s(-6). Solve 0 = -2*u - o - 0 for u. -5 Let a be (0 + -2 - 9)/1. Let s = -1 - a. Suppose 0 = -2*p - 0 + 6. Solve p*k + s = -2 for k. -4 Suppose -23*z + 23 = -46. Solve r = -z*r + 12 for r. 3 Let o(t) = -t**2 - t - 22. Let x be o(-12). Let h = 173 + x. Solve -h - 5 = -6*v for v. 4 Let q be 28/7*5*1/(-2). Let v be 2/(((-5)/1)/q). Solve 7*n = 3*n + v for n. 1 Let d = 26 - 14. Let m be 39/9 - (-3)/(-9). Suppose m*x - 2*h + 12 = 5*x, x + h = d. Solve -x = 2*j - 5*j for j. 4 Suppose 29*q + 6*q = -5*q + 120. Let y be -1*(0 - 1)*1. Solve 4*z + y = -q for z. -1 Suppose -3*y + 74 = 23. Let q = -20 + y. Let j be 78/30 - q/(-5). Solve 3 = -o - j*o for o. -1 Let c(z) = -z**2 + 7*z. Let a be c(4). Let j = -120 - -123. Suppose a = -h + j*h. Solve -b = b + h for b. -3 Let i(o) = -18*o - 7. Let r be i(-1). Suppose 3*p - 3*j - r = j, -10 = -2*p + 4*j. Solve -p = 3*q + 8 for q. -3 Suppose -g = -2*t + 2, -4*g + 0*g + 18 = 5*t. Suppose 0 = t*l - 2*q - 28, -4*l = 5*q - 51 - 14. Let p = -66 + 70. Solve -p*k = -k + l for k. -5 Let p be (-3)/(-3) + (6 + 27 - -9). Solve 0 = -29*v + 188 - p for v. 5 Suppose -4 + 13 = 3*j. Suppose j*b = 5*b - 2. Suppose -n + b = -1. Solve -o + n = -0*o for o. 2 Let x be 17/34 - 82/(-4). Solve -24*u + 15 = -x*u for u. 5 Let k = 1430 - 1430. Solve -6*a - 7 + 13 = k for a. 1 Let p = -12 - -48. Suppose -3*g - 3*n + 50 = -7*n, 3*g + 3*n = p. Solve 1 = -3*u - g for u. -5 Let a(v) = v + 8. Suppose f - 3 - 1 = 0. Suppose 3*t = -3*h + t - 7, 36 = -f*h + 4*t. Let o be a(h). Solve 0*s = -o*s - 3 for s. -1 Suppose -3*a - 15 = 0, 3*i = -a + 3*a + 10. Solve -5*v + 15 + 5 = i for v. 4 Suppose 25*t - 5*t = 60. Solve 8 - t = 5*a for a. 1 Suppose q = -3*i - 15, 5*q - 25 = 5*i - 0*i. Suppose 28*v - 25 = 23*v. Suppose v*k - 32 = -f - 2*f, f + 12 = 4*k. Solve -6*u + 4*u - k = q for u. -2 Let a(c) be the third derivative of c**4/24 - 13*c**3/6 + 8*c**2. Let u(z) = -z + 12. Let k(t) = -3*a(t) - 2*u(t). Let w be k(15). Solve w = 2*g - 3*g for g. 0 Let j = -4 + 7. Let s(a) = 111 - 58 - 59 + 2*a. Let w be s(j). Solve w = 3*k - 7 - 8 for k. 5 Let b be (1 + 0)*-3 - -100. Let c = b + -97. Solve -i + 2 + 2 = c for i. 4 Let u be 3/1 - ((3 - 3) + 4). Let i be u/(-4)*6/(-9)*-12. Solve 0 = i*m + 6 - 14 for m. 4 Let a(c) = 10*c**2 - 1. Let p(y) = y**3 + 2*y**2 - 2*y - 1. Let r be p(2). Let o = r - 10. Let w be a(o). Solve w = 3*z - 0*z for z. 3 Suppose 3*r - 38 = -5*n + 15, -n + 8 = -2*r. Suppose -5*b - 5*d = 25, 3*b = -2*b + 4*d + 20. Solve b = 4*u + u - n for u. 2 Suppose 2 - 4 = -2*t + 4*s, 5*t - 4*s - 11 = 0. Let p(w) = -w**3 + 3*w**2 + w. Let v be p(t). Solve v - 1 = h for h. 2 Let o = -91 - -67. Let s be -2 - o/(-5 - -9). Let a(y) = y**3 - 3*y**2 + y - 3. Let c be a(3). Solve 0 = -s*g - c*g + 16 for g. 4 Suppose -3*y + 14 + 1 = 0. Suppose 3*p + y*k + 55 = 0, -3*p - 4*k - 53 = -0*p. Let r = 20 + p. Solve r = 2*h - h for h. 5 Suppose -5*v + 48 = -a + 34, 4*v + 8 = -4*a. Solve 5 = -3*x - v*x for x. -1 Let j(r) = -2*r**3 - 28*r**2 + 31*r + 16. Let x be j(-15). Suppose 17 = 3*q - 5*a, -3*a + 9 = 4*q - q. Let i be (9/12)/(x/q). Solve t + 1 = i for t. 2 Let v = 532 + -520. Solve -2*y + 8 = v for y. -2 Suppose -3*z + 6 + 9 = -3*w, -5*w = -25. Suppose p - 4*f - 11 = 0, -p - p - 2 = 4*f. Suppose 5*m - 4*h - 29 = 0, h = m + p*h - 3. Solve -m*r = -z*r - 15 for r. -3 Let n(z) = -3*z + 186. Let f be n(57). Solve -34 = -f*v + 41 for v. 5 Let k be (-2)/(-1) - 45/(-3). Solve -k = -12*g - 77 for g. -5 Suppose -2*i + 13 = -2*k + 5, -4*k = -20. Suppose -i*b = -5*b - 8. Let m be b*(14/4 - 1). Solve 2 = d + m for d. -3 Suppose -12*x + 3*x = -27. Solve -x = 6*o + 9 for o. -2 Let i(w) = w**3 - 5*w**2 + 2*w + 3. Let l be i(5). Solve 4*a + l = -7 for a. -5 Let p = -6 - -10. Let j = 369 + -369. Solve j = c + p - 3 for c. -1 Suppose 5*x + 29 = 3*u, 3*x + 2 + 31 = 3*u. Solve u*v - 17*v = 0 for v. 0 Let d be (((-6)/9)/((-4)/(-72)))/(-2). Solve d*j - 7 = -j for j. 1 Let r(z) = z**2 + 6*z + 8. Let y(i) = -i - 1. Let t(j) = r(j) - y(j). Let p = 0 - 6. Let b be t(p). Solve 3*f = -0 - b for f. -1 Suppose -14*w = -2*w - 84. Suppose -k = -w*k + 12. Solve -k*z = -6*z + 20 for z. 5 Let s be (-8)/(-2)*-1*-1. Suppose -7*g - 4 = -8*g. Suppose -l = -g, 0*l = s*n - 2*l - 40. Solve -2 + n = 5*m for m. 2 Let t(x) = -x**3 - 9*x**2 - 8*x + 2. Let m be t(-8). Suppose -m*y + 2 + 10 = 0. Suppose 0 = -4*d + d + y. Solve 0*c = d*c + 8 for c. -4 Suppose 3*u - v - 6 = 0, 0*v = -v + 3. Suppose 4 = u*p + 1. Solve -4*n - p = -9 for n. 2 Let k = 99 + -78. Solve -k*h = -18*h + 6 for h. -2 Suppose 3*t = 4*m + 15, -5*m - 9 + 29 = 4*t. Solve m = k - 4*k + 6 for k. 2 Let i(w) = 2*w + 11. Let v be i(8). Let z = 29 - v. Suppose -z*l + 42 = 3*r, -2*l + 4*r - 26 = -3*l. Solve -5*o + l - 43 = 0 for o. -5 Let w(o) = o**3 - 14*o**2 + 13*o. Let a be 390/45*(-3)/(-2). Let y be w(a). Solve y = x + 3*x for x. 0 Suppose 3*q + m - 48 = 0, 3*q + 4*m = 36 + 21. Suppose 3*t + 8 = g - t, -4*g - 4*t + 12 = 0. Solve -v + q = -g*v for v. -5 Suppose -1290*c - 28 = -1297*c. Solve -t = -0*t + c*t for t. 0 Suppose 0 = 5*d + 3*s + 6, 2*s + 3 = -3*d. Let j be -2*(-5)/2 - (4 + d). Solve 2 = j*y - 2*y for y. 1 Let w = 21 - 12. Let k = w + -3. Suppose 0 = -5*b, 0 = -4*p + 4*b - 3*b + 100. Solve k*x = x + p for x. 5 Suppose -2*g = 8*g. Solve g = 2*u + 3 + 3 for u. -3 Let f(x) = -3*x - 2 + x + 0*x + x. Let k be f(-6). Solve k*w - 6 - 2 = 0 for w. 2 Let m(l) = l**3 + 9*l**2 + 8. Let i be m(-9). Let j be i/(-12) - (-22)/6. Suppose 3*y + 9*y - 48 = 0. Solve -v = j*v + y for v. -1 Let i(v) = -21*v - 143. Let a be i(-7). Solve a*q + 4*q = 0 for q. 0 Let n = 648 + -643. Solve -15 = 5*s - n for s. -2 Let y be 22/4 + 1/6*3. Solve k = y*k + 20 for k. -4 Let k be ((-7)/14)/((-3 - 2)/180). Solve -52*f + 58*f - k = 0 for f. 3 Let u be (-81)/(-36) - 7/28. Let m(b) = -b - 7. Let n be m(-8). Solve -n = -a - u for a. -1 Let u be (-2 - 0/(-3)) + 0. Let n(m) be the third derivative of -m**6/40 - m**5/30 - m**4/24 - m**3/3 - 4*m**2 + 5*m. Let h be n(u). Solve 3*x = -x - h for x. -4 Let v(m) = -m**2 - 13*m - 10. Let o be v(-12). Let j(i) = 2*i**2 + i + 1. Let w be j(-1). Let a be 4 + 1/(1/w). Solve 0*q = -o*q + a for q. 3 Suppose -36*m - 8 = -40*m. Let t be (2 + 24/(-15))*20. Solve t - 2 = m*i for i. 3 Suppose 5*x - g + 5 = 4*g, 3*g = -x + 7. Let n(a) = 2 + 1 + 2*a**2 + 2*a - x - 1. Let h be n(-1). Solve l = -0*l - h for l. -1 Suppose -5*d + d = 0. Suppose 4*h = -4*x + 41 + 3, 3*h - 3*x - 21 = d. Solve 5*t = h - 29 for t. -4 Let t(z) = 4*z - 23. Let c be t(9). Solve 4*k - c - 7 = 0 for k. 5 Let u = -97 + 136. Solve -u*y = -43*y for y. 0 Let m(j) = -4*j**2 + 33*j - 7. Let r be m(8). Solve -r = -4*f + 3 for f. 1 Let d(l) = -3*l + 14. Let m(g) = 5*g - 29. Let i(c) = -7*d(c) - 4*m(c). Let s be i(-14). Solve -4*j = -0*j + s for j. -1 Let s(y) = 7*y + 27. Let v(t) = 6*t + 26. Let i(r) = -5*s(r) + 6*v(r). Let z be i(-20). Solve -o + z = -1 for o. 2 Let b(n) = 7*n. Let s = 0 + -2. Let x be b(s). Let f = -12 - x. Solve 3*c = 4*c + f for c. -2 Let g(a) = a**3 + 8*a**2 - 15*a - 99. Let m be g(-8). Solve -m*t = 22 - 85 for t. 3 Let s = 7 + -3. Suppose 14*w - 10*w - 36 = 0. Suppose -6*m + 15 = -w. Solve 0*t = -m*t + s for t. 1 Let w be (5/(-2))/5*0. Solve -r = -w*r + 3 for r. -3 Let h be (2 - 3/(-3))*(-272)/(-48). Solve 22*a = h*a + 15 for a. 3 Let t be 24/(4 + -2) + 0. Suppose a + 2*n = 4, -3*a = -8*a - 2*n + 20. Solve t = w - a*w for w. -4 Let d = 175 + -151. Solve d*h - 20*h - 16 = 0 for h. 4 S
{ "pile_set_name": "DM Mathematics" }
erms in -11*n + 0 - n + 0. -12*n Collect the terms in 120*d**2 + 120*d**2 - 362*d**2 + 123*d**2. d**2 Collect the terms in -7*i**3 - 19*i**3 + 7*i**3 - 6*i**3. -25*i**3 Collect the terms in 348 + 349 + 349 - 7*l**3 - 1046. -7*l**3 Collect the terms in 9*i + i - 13*i. -3*i Collect the terms in -44*g + 19*g + 17*g. -8*g Collect the terms in -3 - 7706*o + 3. -7706*o Collect the terms in 21 - 45 + 10 + 14 - 5*z. -5*z Collect the terms in -8*n + 2*n + 6*n + n**3 - 5*n**3. -4*n**3 Collect the terms in -12*r**3 - 24*r**3 + 4*r**3. -32*r**3 Collect the terms in 2*v - v - 44*v**2 - v. -44*v**2 Collect the terms in a - 1 - 8 + 4*a. 5*a - 9 Collect the terms in 15*o**2 - o**2 + 8*o**2. 22*o**2 Collect the terms in -6*d**3 - 3*d**3 + 2*d**3 + 14*d**3. 7*d**3 Collect the terms in 3*l - 133 + 133. 3*l Collect the terms in -4*i**2 + 24 - 24. -4*i**2 Collect the terms in -635*s**3 + 1258*s**3 - 625*s**3. -2*s**3 Collect the terms in 47 - 7*r - 15 - 19 - 13. -7*r Collect the terms in 2 - 5*w**2 - 55*w - 4 + 1. -5*w**2 - 55*w - 1 Collect the terms in 3*j - 3*j + 3481*j**3 - 107*j**3. 3374*j**3 Collect the terms in -3*h**3 + 8*h**3 + 13*h**3. 18*h**3 Collect the terms in -62*x - 2*x**2 - 3 + 63*x + 3. -2*x**2 + x Collect the terms in -17*k + 14*k + 5*k. 2*k Collect the terms in -7065*x**2 - 7063*x**2 + 14126*x**2. -2*x**2 Collect the terms in 0*p**3 + 431*p**2 - 2*p**3 - 431*p**2. -2*p**3 Collect the terms in b**2 - 20*b**3 - 33*b**3 - b**2 + 68*b**3. 15*b**3 Collect the terms in -9*n - n - 2*n - 3*n + 13*n. -2*n Collect the terms in -5*b**3 + 113737*b - 113737*b. -5*b**3 Collect the terms in 2*m**2 + 4*m**2 - 3*m**2 + 5*m**2 - 9*m**2. -m**2 Collect the terms in 12*u - 4 + 15 - 10*u + 49. 2*u + 60 Collect the terms in -8*v - 33*v**3 + 8*v + v**3. -32*v**3 Collect the terms in 0 + 33*s**2 + 0 - 39*s**2. -6*s**2 Collect the terms in c - c - 19*c**2. -19*c**2 Collect the terms in -121 + 121 + 11*a**3. 11*a**3 Collect the terms in 19*h**3 + 13*h**3 - 18*h**3. 14*h**3 Collect the terms in -2*j + 225 - 225. -2*j Collect the terms in 485*b**2 + 73 - 73. 485*b**2 Collect the terms in -7*a**3 + 30*a**3 - 10*a**3 - 16*a**3. -3*a**3 Collect the terms in -484*q - 2*q**2 + 126*q - 3*q**2. -5*q**2 - 358*q Collect the terms in 30*j**3 + 10 + 8 - 16. 30*j**3 + 2 Collect the terms in 648*z**3 - 651*z**3 - 4*z**2 + 4*z**2. -3*z**3 Collect the terms in 5 - 10 + 5 - 12*g**2. -12*g**2 Collect the terms in -1557 - 3*n**2 + 1557. -3*n**2 Collect the terms in 48*w**3 + 46*w**3 - 91*w**3. 3*w**3 Collect the terms in -g**2 - 77*g**3 + g**2 + 80*g**3. 3*g**3 Collect the terms in 0 + 48*k + 0. 48*k Collect the terms in 0*b**2 - 22*b**2 + 0*b**2 - 7*b**2. -29*b**2 Collect the terms in 2*x**3 + 2*x + 2*x**3 + 2*x**3. 6*x**3 + 2*x Collect the terms in -60 + u**2 - 4*u**2 + 60. -3*u**2 Collect the terms in 0*q**3 + 19924*q**2 + 20*q**3 - 19924*q**2. 20*q**3 Collect the terms in 4*x - 20*x + 5*x. -11*x Collect the terms in 3 + 0*h**3 - 3 + 3*h**3. 3*h**3 Collect the terms in 38*a - 13*a - 20*a. 5*a Collect the terms in 2*p + 7*p**2 - 18537 + 18537 - 2*p. 7*p**2 Collect the terms in -6*t**3 - 51*t + 107*t - 59*t. -6*t**3 - 3*t Collect the terms in 46*c**2 - 14*c**2 - 11*c**2 - 16*c**2. 5*c**2 Collect the terms in 21 - 21 + 30*j**2 - 21*j**2. 9*j**2 Collect the terms in -8*z - 2 - 2 + 4 + 10*z. 2*z Collect the terms in -10 + 64*y + 10 + 13*y. 77*y Collect the terms in 3*f - 4*f + 2*f. f Collect the terms in -11*x - 5 + 7 - 2. -11*x Collect the terms in 7*y**2 - 40*y**2 + 10*y**2 + 16*y**2. -7*y**2 Collect the terms in 106*d + 1 - 1 - 109*d. -3*d Collect the terms in 89 - x - 171 + 82. -x Collect the terms in -8*m**2 + 36*m**2 + 3 - 3. 28*m**2 Collect the terms in -33 + 100*t**2 + 33. 100*t**2 Collect the terms in -18*n + 12*n + 2*n. -4*n Collect the terms in 35*o**2 - 10*o**2 - o**3 - 11*o**2 - 10*o**2 - 12*o**2. -o**3 - 8*o**2 Collect the terms in 1 - 3*p - 1 - 50*p. -53*p Collect the terms in -19*i**2 + 8*i**2 + 123*i**3 + 11*i**2. 123*i**3 Collect the terms in -28*i + 8*i**2 + 28*i. 8*i**2 Collect the terms in -p + 4*p + 2*p - 4*p. p Collect the terms in -11*h + 6*h - 19*h - 9*h. -33*h Collect the terms in -6*j**3 - 4*j**3 + 2*j**3. -8*j**3 Collect the terms in -15*d**2 - 4*d**2 - 9*d**2 + 34*d**2. 6*d**2 Collect the terms in 542*j + 272*j + 11*j. 825*j Collect the terms in 2*q + 31*q + 12*q. 45*q Collect the terms in 25511*a**2 - 51007*a**2 + 25499*a**2. 3*a**2 Collect the terms in 211*p + 159*p - 101*p + 43*p. 312*p Collect the terms in 66*i**3 + 20*i**3 + 57*i**3. 143*i**3 Collect the terms in 0*w**3 - 3*w**3 + 14*w**3. 11*w**3 Collect the terms in 64*m + 11*m**2 - 10*m**2 - 64*m. m**2 Collect the terms in 4*x**2 + 7*x**2 - 7*x**2 + 4*x**2 - 7*x**2. x**2 Collect the terms in 34*u**3 - 21*u**3 - 2*u**3 + 139*u**3. 150*u**3 Collect the terms in -98*n**2 - 102*n**2 + 201*n**2. n**2 Collect the terms in -7*m**3 - 9*m**3 - 9*m**3. -25*m**3 Collect the terms in -325*v + 2*v**2 + 974*v + 0*v**2. 2*v**2 + 649*v Collect the terms in -4 - 3 + 7 - 66*a. -66*a Collect the terms in 2020*g - 996*g + 0*g**2 + 4*g**2 - 1024*g. 4*g**2 Collect the terms in -3 + 4*x - 1 + 4. 4*x Collect the terms in -5*i + 0*i - 5*i. -10*i Collect the terms in -63*u**2 + 5 + 74*u**2 - 5. 11*u**2 Collect the terms in -1 + 2 + 215*m - 1. 215*m Collect the terms in 7*d**3 + 2 - 2 + 2*d**3. 9*d**3 Collect the terms in 12*c**3 - 4*c - c + 5*c. 12*c**3 Collect the terms in -3 - 20*g + 2 - 1. -20*g - 2 Collect the terms in 0*i**2 + 2*i**2 - 151 - i**2 + 151. i**2 Collect the terms in 1314*q**2 - 1315*q**2 + 3 - 3. -q**2 Collect the terms in v**3 + 2*v**2 + 10*v**2 - 12*v**2. v**3 Collect the terms in 5319*w - 5319*w + w**2. w**2 Collect the terms in 2*q + 171 - 67 - 104. 2*q Collect the terms in h**2 - 55*h + 55*h - 4*h**2. -3*h**2 Collect the terms in -24*q**3 - 167*q**3 - q**3. -192*q**3 Collect the terms in -q - 12*q**2 - 4*q + 1 + 5*q. -12*q**2 + 1 Collect the terms in -3*k + 33 - 61 + 28. -3*k Collect the terms in -49*r**2 - 7 + 7 - 22*r**2. -71*r**2 Collect the terms in 0 + 169*v**3 - 344*v**3 + 172*v**3 + 0. -3*v**3 Collect the terms in -141*i - 142*i + 271*i. -12*i Collect the terms in 3*h + 2*h + 9*h + 0*h - 7*h. 7*h Collect the terms in -9 + 7*q**2 + 26 - 17. 7*q**2 Collect the terms in -6*g**3 - 324 - 320 + 644. -6*g**3 Collect the terms in -80*h - 37 + 25*h + 28*h + 28*h. h - 37 Collect the terms in 1344 + f - 2*f - 2*f - 1344. -3*f Collect the terms in 5*g**2 + 13*g**2 - 7*g**2 + 8*g. 11*g**2 + 8*g Collect the terms in 1233*y**2 - 629*y**2 - 605*y**2. -y**2 Collect the terms in 0 + 383*g + 4 - 4. 383*g Collect the terms in 14*q**3 + 3*q**3 - 6*q**3. 11*q**3 Collect the terms in 18*p**2 - 5*p**2 + 4*p**2 + 1 - 2. 17*p**2 - 1 Collect the terms in 18*p - 6*p + 12*p. 24*p Collect the terms in 20*f**3 - 8*f**3 + 47*f**3. 59*f**3 Collect the terms in -3*h**3 - 10*h**3 - 13*h**3. -26*h**3 Collect the terms in 1 + 3 - 3 - 49*r**3. -49*r**3 + 1 Collect the terms in -5 + 10*r + 4 - 2*r - 18*r. -10*r - 1 Collect the terms in 11*o**3 + 17*o**3 - 2*o + 41*o**3. 69*o**3 - 2*o Collect the terms in 18*y**2 + 16*y**2 + 20*y**2 - 53*y**2. y**2 Collect the terms in 15*c**3 + 24*c**3 - 12*c**3 - 14*c**3 - 15*c**3. -2*c**3 Collect the terms in -187 + h**3 + 15 + 172. h**3 Collect the terms in 6*b**3 - 3*b**3 + 0*b**3 + 12*b**3. 15*b**3 Collect the terms in -2 + 71826*g**2 - 71828*g**2 + 2. -2*g**2 Collect the terms in 2*v - 4*v - 5*v - 2*v. -9*v Collect the terms in 130*m - 55*m + 361*m. 436*m Collect the terms in 4*m - 433 - 433 - 439 + 1305. 4*m Collect the terms in -k + 3*k + 7*k. 9*k Collect the terms in -2*w**2 + 72*w**3 + 2*w**2 + 3*w**3. 75*w**3 Collect the terms in 9*z + z - 4*z. 6*z Collect the terms in 37*d**3 - 18*d**3 - 15*d**3. 4*d**3 Collect the terms in -2*p + 4 + 1 - 5. -2*p Collect the terms in 15*j**2 + 78*j**2 + 8*j**2 - 40*j**2. 61*j**2 Collect the terms in 6*l**3 - 311 + 311. 6*l**3 Collect the terms in 3832*r**3 - 3*r**2 + 0*r**2 - 3838*r**3 + 3*r**2. -6*r**3 Collect the terms in 2*u**3 + 2*u**3 - 5*u**3. -u**3 Collect the terms in -249*n**2 + 482*n**2 - 238*n**2. -5*n**2 Collect the terms in 1095 - 1095 + 3*i**2. 3*i**2 Collect the terms in -19*i**3 + 17*i**3 - i**3 + 0*i**3. -3*i**3 Collect the terms in 0*q + q
{ "pile_set_name": "DM Mathematics" }
common multiple of 1926 and 14124. 42372 Find the common denominator of -43/2280 and 161/570. 2280 What is the least common multiple of 50787 and 321651? 964953 What is the least common multiple of 30 and 228306? 1141530 Calculate the common denominator of 29/6318 and 49/1020. 1074060 What is the smallest common multiple of 132860 and 3796? 132860 Find the common denominator of -179/4140 and -129/140. 28980 Find the common denominator of -17/28884 and -139/5478. 317724 Calculate the lowest common multiple of 1798004 and 18. 16182036 Calculate the smallest common multiple of 159750 and 1125. 159750 What is the least common multiple of 154914 and 154914? 154914 Calculate the common denominator of 22/14567 and 26/14567. 14567 Find the common denominator of 35/24 and -133/10566. 42264 Find the common denominator of -76/225 and -63/9160. 412200 Calculate the smallest common multiple of 19350 and 21500. 193500 Calculate the lowest common multiple of 8 and 484386. 1937544 Find the common denominator of -85/631136 and -77/4. 631136 Calculate the lowest common multiple of 8 and 23369. 186952 What is the common denominator of 133/222786 and -1/111393? 222786 Calculate the common denominator of 53/724654 and 80/7449. 28261506 What is the least common multiple of 178 and 280? 24920 What is the smallest common multiple of 12 and 45708? 45708 Find the common denominator of 89/52202 and -77/516. 313212 Find the common denominator of 101/66504 and -17/10. 332520 What is the common denominator of -28/10695 and -49/17112? 85560 Find the common denominator of -49/40 and -55/128828. 1288280 What is the common denominator of 35/412092 and -13/45? 2060460 Calculate the common denominator of -37/1770 and -19/6195. 12390 What is the least common multiple of 2340 and 20? 2340 What is the common denominator of -52/666199 and 48? 666199 What is the smallest common multiple of 4520 and 412? 465560 What is the lowest common multiple of 306 and 5002? 765306 Calculate the lowest common multiple of 358820 and 315. 3229380 What is the least common multiple of 11 and 238498? 2623478 Find the common denominator of 149/4656 and 83/1552. 4656 What is the common denominator of -4/261 and -79/3016? 27144 Calculate the common denominator of 13/40 and -109/1040. 1040 What is the common denominator of -157/462 and 99/166? 38346 Find the common denominator of -47/51152 and 21/32. 102304 What is the smallest common multiple of 24 and 228339? 1826712 Calculate the lowest common multiple of 5833 and 6140. 116660 What is the common denominator of -99/3070 and -33/3040? 933280 Calculate the common denominator of 101/30 and -2/106587. 1065870 Calculate the least common multiple of 21065 and 5. 21065 What is the common denominator of 13/75 and 64/3687? 92175 What is the common denominator of 53/838124 and 113/10? 4190620 What is the common denominator of 91/322596 and 33/28? 2258172 What is the lowest common multiple of 5400 and 1365? 491400 Find the common denominator of -111/109220 and -47/17780. 764540 Calculate the least common multiple of 3507 and 210. 35070 Calculate the smallest common multiple of 10 and 58426. 292130 Calculate the least common multiple of 145 and 338836. 1694180 What is the common denominator of 23/194 and -28/25? 4850 What is the common denominator of -71/4000 and -55/384? 48000 What is the lowest common multiple of 3748656 and 696? 3748656 What is the least common multiple of 44 and 33298? 732556 Calculate the lowest common multiple of 122064 and 91548. 366192 Calculate the smallest common multiple of 110232 and 80. 1102320 Find the common denominator of 119/14754 and 40/22131. 44262 Find the common denominator of -43/2576 and 101/364. 33488 What is the common denominator of 11/69936 and 13/28? 489552 What is the common denominator of -25/22 and -59/1381902? 15200922 Calculate the smallest common multiple of 248 and 1014010. 4056040 Calculate the common denominator of -32/25795 and 4/39865. 438515 Calculate the smallest common multiple of 281872 and 19624. 3100592 What is the common denominator of -167/11520 and -107/288? 11520 Calculate the common denominator of -30/2147 and -99/452. 8588 What is the common denominator of 65/154 and 33/115? 17710 What is the common denominator of -79/22 and -67/318336? 3501696 Find the common denominator of -37/214186 and 5/9. 1927674 What is the lowest common multiple of 70 and 751142? 3755710 Calculate the smallest common multiple of 38727 and 4965. 193635 What is the common denominator of -19/19428 and -17/849975? 3399900 Calculate the common denominator of 99/34 and -19/828. 14076 What is the common denominator of 119/77506 and 9/2002? 542542 What is the common denominator of -137/546 and 11/6328? 246792 What is the least common multiple of 203412 and 7590? 1017060 Calculate the common denominator of 23/129691 and -24/13. 1685983 Calculate the common denominator of 103/406318 and -59/220. 4063180 What is the common denominator of 65/56727 and -101/1528? 453816 What is the least common multiple of 2600925 and 33? 28610175 Calculate the common denominator of -49/124080 and -93/25850. 620400 Calculate the smallest common multiple of 1658 and 6. 4974 Calculate the smallest common multiple of 12482 and 37446. 37446 What is the lowest common multiple of 75 and 6265? 93975 Calculate the common denominator of -37/527223 and 46/7869. 527223 Calculate the lowest common multiple of 33824 and 2. 33824 Calculate the least common multiple of 30 and 30798. 153990 What is the smallest common multiple of 2856984 and 18? 8570952 What is the least common multiple of 27 and 1021? 27567 What is the common denominator of -77/2369552 and -1/252080? 11847760 What is the least common multiple of 335 and 57553? 287765 Find the common denominator of -5/126 and -103/24210. 169470 Calculate the common denominator of -31/2340 and 131/520. 4680 Calculate the smallest common multiple of 51815 and 238349. 1191745 Calculate the common denominator of 11/189 and 17/20466. 143262 Calculate the lowest common multiple of 4476 and 666. 496836 Calculate the lowest common multiple of 41650 and 19600. 333200 Calculate the lowest common multiple of 299750 and 5. 299750 Calculate the common denominator of -4/551 and 55/377. 7163 Find the common denominator of 29/95280 and 137/47640. 95280 Calculate the common denominator of 9/1813 and 20/8869. 328153 What is the common denominator of -49/32271 and 73/2776? 258168 Calculate the common denominator of -17/17301 and -54/11. 190311 Calculate the common denominator of 89/854 and -53/96929. 193858 What is the common denominator of 1/66 and 58/27003? 594066 Calculate the smallest common multiple of 38602 and 19301. 38602 What is the smallest common multiple of 512 and 20480? 20480 What is the common denominator of 13/1577 and -17/1494? 28386 What is the lowest common multiple of 5305 and 70? 74270 What is the common denominator of -31/20 and -37/373694? 3736940 Calculate the common denominator of 37/9978 and 63/5. 49890 Find the common denominator of 27/77752 and 59/116628. 233256 What is the least common multiple of 572 and 559364? 6153004 Calculate the common denominator of -17/6 and 45/57589. 345534 What is the lowest common multiple of 176 and 264? 528 Find the common denominator of -63/80 and -73/8060. 32240 What is the least common multiple of 4656 and 60? 23280 Calculate the smallest common multiple of 4488 and 44. 4488 Calculate the least common multiple of 19886 and 109373. 218746 Find the common denominator of 83/1690 and 97/10. 1690 Calculate the lowest common multiple of 40936 and 33796. 2906456 What is the common denominator of 115/989576 and -83/6? 2968728 Find the common denominator of 73/9933 and 46/297. 89397 What is the least common multiple of 15684 and 39210? 78420 Calculate the common denominator of -29/2000 and -127/11000. 22000 Calculate the common denominator of 30/14113 and -40/29509. 324599 Calculate the common denominator of -5/536 and -3/6968. 6968 What is the least common multiple of 80085 and 26695? 80085 What is the lowest common multiple of 478478 and 273? 1435434 Calculate the common denominator of 65/656 and 27/16804. 2755856 Find the common denominator of 95/135864 and 101/113220. 679320 Wh
{ "pile_set_name": "DM Mathematics" }
and r. 4 Let c = -24 - -26. Suppose 7 = -g - 4*y, -2 = -0*g + c*g + 5*y. Calculate the highest common divisor of g and 63. 9 Let j(z) = z**3 - z**2 + z - 1. Let f be j(2). Suppose 5*h = -d + 6*d + 215, f*h = -3*d - 113. Let p = 86 + d. What is the greatest common factor of p and 15? 15 Let k be (4 - 1) + -1 + 3. What is the highest common factor of k and 30? 5 Suppose 3*p - 5*p + 5*q + 485 = 0, p + q = 239. Calculate the highest common divisor of p and 30. 30 Let r = 6 - 3. Suppose 4*x - 10 = 5*o, -o - r = -2*x - 1. Let p(f) = f**2 + 2*f + 2. Let u be p(o). Calculate the greatest common factor of u and 18. 2 Suppose 2*b + 110 = -3*b. Let q = 11 - b. What is the highest common factor of 22 and q? 11 Suppose -12 = -4*y - 8. Let x be y - (1 + -6 + 3). Calculate the greatest common divisor of x and 6. 3 Let s(r) = -r**3 + 11*r**2 + 14. Let v be s(11). What is the greatest common factor of 42 and v? 14 Suppose 3*j + 2*v - 2070 = 0, -3*j + j + 4*v = -1364. Suppose 0 = -3*t - 94 + j. Calculate the greatest common divisor of t and 18. 18 Suppose f = 2*i + 2, -2*i + 0*i - 10 = 3*f. Let j be 620/8 + 3/f. Suppose 4*g + 2*z = 3*z + j, -2*g = z - 44. Calculate the greatest common factor of 30 and g. 10 Suppose -6 = -3*r + 6*r. Let m(z) = 4*z**2 + z. Let p be m(r). Let d be (-7)/21 + 44/6. What is the highest common divisor of p and d? 7 Let p(q) = 5*q**2 + 3*q + 2. Let f be p(-2). Suppose 0 = 4*k - 2*z - f - 358, 178 = 2*k + 2*z. What is the highest common divisor of k and 23? 23 Let s be 1/7 + 65/35. Let y(p) = p**3 - p**2 + p + 2. Let l be y(0). Let o be (5/l)/5*36. What is the greatest common divisor of o and s? 2 Let s(f) = f**2 - 3*f + 8. Let t be s(3). What is the greatest common factor of 24 and t? 8 Suppose -4*p + c + 4*c = -108, -3*c = 3*p - 108. Calculate the greatest common factor of p and 8. 8 Let p(r) = r**3 - 2*r**2 - r + 5. Let y be p(3). Suppose -y*h + 6*h + 10 = 0. Calculate the highest common factor of h and 5. 1 Suppose -46 = -6*p - 16. Calculate the highest common divisor of 20 and p. 5 Suppose b + b = 8. Calculate the greatest common factor of 6 and b. 2 Let n(d) = 5 + d**3 - 2*d**3 + d - d**2 + 0*d**3. Let k be n(0). Calculate the highest common factor of 10 and k. 5 Suppose -y + 3*r = 4, -y - y - 3*r + 28 = 0. Let p = 57 + -41. Suppose -4*n = -3*z + p, 3*n = -z + 3 + 11. Calculate the greatest common divisor of z and y. 8 Let k be ((-180)/14)/((-24)/224). Calculate the highest common divisor of k and 15. 15 Let b = -45 - -95. What is the highest common divisor of b and 20? 10 Let a(h) = 12*h**2 + h - 2. Let j be (-11)/4 + 9/12. Let s be a(j). What is the highest common divisor of 11 and s? 11 Let b = 358 - 253. What is the highest common factor of 21 and b? 21 Let p(t) = -t**2 + 12*t + 9. Let y be p(12). What is the greatest common divisor of y and 1? 1 Let t = -6 - -8. Suppose -t*n + 10 = -86. What is the highest common factor of 6 and n? 6 Suppose 0*f - 9 = x - 4*f, -4*f + 13 = -5*x. Let q = 7 - x. Suppose 2*p = 3*p - 16. Calculate the greatest common factor of q and p. 8 Let n be 6/10 + 44/10. Suppose 4*l = -5*v + 58, -n*l - 85 = -5*v - 0*v. Let x = 217 + -105. What is the highest common divisor of v and x? 14 Let v = 8 + 24. Suppose 0 = -7*s + 9*s - 8. Calculate the greatest common factor of v and s. 4 Suppose w + 2*d = -1, 5*d = -2*w + 7*w - 55. Let z(q) = q**2 + 2. Let c be z(w). Suppose -4*a = -163 + c. What is the highest common factor of a and 4? 4 Let v(h) = 6*h - 8. Let l be v(8). Suppose 4*i + w - 88 = 3*w, 4*w - l = -i. What is the greatest common divisor of 60 and i? 12 Let m(t) = 9*t + 2. Let y be m(2). What is the greatest common divisor of y and 30? 10 Let t be (3 + (-20)/6)*-12. Suppose -3*w + t*h + 22 = -24, 0 = -3*w + 2*h + 44. What is the greatest common factor of 14 and w? 14 Let a = 29 - -19. Calculate the highest common factor of 6 and a. 6 Let i(r) be the first derivative of r**2/2 + r - 2. Let c be i(-1). Suppose -4*t + c*t + 3*h = -51, -4*h = -12. What is the greatest common divisor of 45 and t? 15 Let h(r) = 2*r**2 + 8*r - 3. Let x be h(-6). Suppose -36 = -3*w + 5*q, 0*w + 5*w - 3*q = 44. What is the greatest common divisor of w and x? 7 Let y be (-3)/(-7) + ((-486)/(-42) - 0). What is the greatest common factor of y and 108? 12 Let l(j) = 52*j**2 - 2. Let r be l(2). Suppose 0*i + r = 5*m + 2*i, -2*m + 83 = i. What is the greatest common factor of 8 and m? 8 Let b = 5 - 4. Let q be 0/(((-4)/b)/2). Suppose -5*n + 2*l + 27 = q, 4 + 2 = 2*n + 4*l. Calculate the greatest common divisor of n and 25. 5 Suppose -16 + 1 = -3*i. Suppose 0*z - 146 = -i*z - 4*u, -z - u + 29 = 0. Suppose -j - z = -3*j. What is the highest common divisor of 15 and j? 15 Let w be ((-5)/4)/(5/(-40)). Let i(o) = o**3 - 11*o**2 + 12*o - 10. Let g be i(w). Calculate the greatest common factor of g and 40. 10 Let h = -7 + 4. Let l(c) = -6*c**3 - 4*c**2 - 2*c + 3. Let a be l(h). What is the highest common factor of 27 and a? 27 Suppose f - 18 = -4*o - 2, -o + 11 = 2*f. Calculate the highest common divisor of o and 27. 3 Suppose 2*o - 4 = 4*h + 20, o = 4*h + 20. Calculate the greatest common divisor of 32 and o. 4 Suppose 3*d + 138 = 2*b, 2*b + d = -0*b + 154. Suppose -2*t - t + b = 0. Calculate the greatest common divisor of 5 and t. 5 Let o = 31 - 18. Let x(b) = b**3 - b**2 + 91. Let m be x(0). What is the highest common factor of m and o? 13 Let i(o) = -o**2 + 10*o - 5. Suppose 25 = q + 4*q. Let z be i(q). Calculate the greatest common factor of z and 10. 10 Suppose 15 = -13*a + 249. Calculate the highest common divisor of 306 and a. 18 Let u be -2 + (-8)/(-2) - 4. Let d be u/(-6) + 95/3. Suppose -c = c - d. What is the greatest common divisor of 176 and c? 16 Let n(x) = -2*x. Let u be n(-3). Suppose -2*h + 7 - 24 = v, -4*h = -v - 5. Let i = v + 19. Calculate the highest common divisor of i and u. 6 Let z = -158 - -389. Let f be (167/4 + -2)*-4. Let l = z + f. What is the greatest common divisor of l and 9? 9 Let o(k) = k**2 + 2*k - 22. Let i be o(-13). What is the greatest common divisor of i and 11? 11 Let x = 16 - 14. What is the highest common divisor of 18 and x? 2 Let n be (-2)/6*0 - -16. Let w be 1 - 0 - (2 - 3). Suppose 0 = -3*r - 3*q, 5*r = -w*q + 5 + 7. Calculate the highest common factor of n and r. 4 Let p(q) = -q**3 + 9*q**2 + 10*q + 12. Let u be p(10). Let r = -8 + 20. What is the highest common factor of u and r? 12 Let g be (13 + -9)*(-135)/(-4). What is the highest common factor of 27 and g? 27 Let u be 213/6 + 5/(-10). Suppose -5*s + 118 = 48. Calculate the greatest common divisor of s and u. 7 Let c be -2 + (2 + 0)*-4. Let j = -9 - c. Let z(l) = 86*l - 1. Let d be z(j). Calculate the greatest common divisor of d and 17. 17 Let l(d) = -d - 1. Let x be l(-3). Suppose 4*m - x + 34 = 3*y, m = 1. What is the highest common divisor of 4 and y? 4 Suppose -4*x = -0*x - 64. Let t(u) = -u**2 + 4*u + 2. Let d be t(4). What is the highest common factor of d and x? 2 Suppose -4*h + 75 = 4*y - 41, h - 3*y - 9 = 0. What is the highest common divisor of 12 and h? 12 Let s = 564 + -356. Calculate the greatest common divisor of 26 and s. 26 Let k(z) = -14*z. Let g be k(-5). Let n = 5 + 5. What is the highest common factor of g and n? 10 Suppose 0 = -2*k + 2. Suppose k = -3*q - 2. Let j(t) = -3*t**3 - 1. Let w be j(q). What is the highest common divisor of 2 and w? 2 Let n(u) = -5*u - 27. Let t be n(-6). What is the highest common factor of t and 2? 1 Suppose 110 = x + x. Let a be 7*3 - (-6)/6. Calculate the highest common factor of x and a. 11 Let d be 30 - 1/(-2)*-8. Calculate the greatest common factor of 182 and d. 26 Let k be 2/(3/(27 - 3)). What is the highest common factor of k and 80? 16 Let z be -2*(-1)/(-2) - -16. Let o(q) = 2*q - 9. Let y be o(6). What is the greatest common factor of y and z? 3 Let v be 1/(-1*1/(-55)). Let p be 5/3*(-3 - -6). Suppose -p*g - 23 = -3*m, 3*m + 2*g - 28 = 9. Calculate the highest common factor of v and m. 11 Let q(n) = n**2 - 6*n. Let a be q(-6). Let i(u) = -u**3 - 8*u**2 + 8*u. Let v be i(-9). What is the highest common divisor of v and a? 9 Let s(j) be the third derivative of -j**4/8 - 5*j**2. Let x be s(-4). What is the greatest common factor of x and 132? 12 Let y be (-31)/(-4) + (-3)/(-12)
{ "pile_set_name": "DM Mathematics" }
What is the g'th term of 12598, 25227, 37856, 50485? 12629*g - 31 What is the f'th term of -163, -369, -617, -907, -1239, -1613? -21*f**2 - 143*f + 1 What is the a'th term of 3845, 7615, 11385, 15155? 3770*a + 75 What is the d'th term of 2380, 2525, 2670, 2815, 2960? 145*d + 2235 What is the d'th term of -18262, -73550, -165702, -294724, -460622? -d**3 - 18426*d**2 - 3*d + 168 What is the d'th term of 966, 2093, 3220, 4347, 5474, 6601? 1127*d - 161 What is the h'th term of 79779, 79773, 79767, 79761, 79755, 79749? -6*h + 79785 What is the l'th term of 223, 128, 39, -44? 3*l**2 - 104*l + 324 What is the m'th term of 624, 2898, 5164, 7416, 9648? -m**3 + 2*m**2 + 2275*m - 1652 What is the i'th term of 58035, 58031, 58027? -4*i + 58039 What is the f'th term of 27131, 108548, 244249, 434240, 678527? f**3 + 27136*f**2 + 2*f - 8 What is the v'th term of -1086, -1432, -1778, -2124, -2470? -346*v - 740 What is the a'th term of -361, -2908, -9813, -23254, -45409, -78456, -124573? -363*a**3 - a**2 - 3*a + 6 What is the h'th term of -666, -2222, -4664, -7992, -12206, -17306? -443*h**2 - 227*h + 4 What is the d'th term of -957, -1837, -2655, -3417, -4129, -4797, -5427, -6025? -d**3 + 37*d**2 - 984*d - 9 What is the s'th term of -30062, -30048, -30026, -29996? 4*s**2 + 2*s - 30068 What is the u'th term of -104, -102, -80, -38, 24, 106? 10*u**2 - 28*u - 86 What is the i'th term of 7178, 28683, 64532, 114731, 179286, 258203, 351488? i**3 + 7166*i**2 + 11 What is the h'th term of 97122, 194222, 291322, 388422? 97100*h + 22 What is the z'th term of 5736, 11324, 16912, 22500? 5588*z + 148 What is the c'th term of 21, 247, 659, 1287, 2161, 3311, 4767? 5*c**3 + 63*c**2 + 2*c - 49 What is the m'th term of -31366, -31365, -31360, -31351, -31338, -31321? 2*m**2 - 5*m - 31363 What is the f'th term of -13, -123, -233? -110*f + 97 What is the t'th term of -18386, -18397, -18416, -18443, -18478, -18521? -4*t**2 + t - 18383 What is the c'th term of 1180, 2318, 3456? 1138*c + 42 What is the k'th term of -96049, -96055, -96065, -96079? -2*k**2 - 96047 What is the w'th term of 7130, 14299, 21470, 28643, 35818? w**2 + 7166*w - 37 What is the o'th term of -7610, -7620, -7668, -7772, -7950, -8220? -3*o**3 - o**2 + 14*o - 7620 What is the l'th term of 6473, 5904, 5333, 4760, 4185, 3608, 3029? -l**2 - 566*l + 7040 What is the c'th term of 75717, 75710, 75715, 75738, 75785, 75862, 75975, 76130? c**3 - 14*c + 75730 What is the d'th term of 61683, 123446, 185207, 246966? -d**2 + 61766*d - 82 What is the p'th term of 4221, 8315, 12409, 16503, 20597? 4094*p + 127 What is the o'th term of -46, -80, -54, 56, 274? 4*o**3 + 6*o**2 - 80*o + 24 What is the m'th term of -3409, -6812, -10207, -13588, -16949? m**3 - 2*m**2 - 3404*m - 4 What is the c'th term of 19179, 18680, 17857, 16716, 15263, 13504, 11445? c**3 - 168*c**2 - 2*c + 19348 What is the w'th term of 28878, 28869, 28848, 28809, 28746, 28653? -w**3 - 2*w + 28881 What is the d'th term of -26, 293, 622, 967, 1334, 1729, 2158, 2627? d**3 - d**2 + 315*d - 341 What is the a'th term of -83, -258, -539, -932, -1443, -2078, -2843, -3744? -a**3 - 47*a**2 - 27*a - 8 What is the k'th term of 433291, 433292, 433293, 433294? k + 433290 What is the g'th term of -5556, -22264, -50110, -89094, -139216? -5569*g**2 - g + 14 What is the k'th term of -313, -436, -557, -676, -793, -908? k**2 - 126*k - 188 What is the p'th term of 3145, 6249, 9353, 12457, 15561, 18665? 3104*p + 41 What is the s'th term of 156, 343, 568, 825, 1108, 1411, 1728? -s**3 + 25*s**2 + 119*s + 13 What is the h'th term of -35817, -71626, -107435, -143244, -179053? -35809*h - 8 What is the z'th term of -1920, -1914, -1908? 6*z - 1926 What is the p'th term of 229420, 229431, 229456, 229501, 229572, 229675? p**3 + p**2 + p + 229417 What is the d'th term of -1269, -2523, -3787, -5067, -6369, -7699, -9063? -d**3 + d**2 - 1250*d - 19 What is the b'th term of -215, -436, -657? -221*b + 6 What is the p'th term of -50279, -100538, -150761, -200942, -251075, -301154? p**3 + 12*p**2 - 50302*p + 10 What is the y'th term of 1123, 2269, 3417, 4567, 5719? y**2 + 1143*y - 21 What is the h'th term of 91, 6, -79, -164, -249? -85*h + 176 What is the u'th term of 5100, 10207, 15324, 20457, 25612, 30795, 36012? u**3 - u**2 + 5103*u - 3 What is the d'th term of -412, -3394, -11502, -27304, -53368, -92262? -428*d**3 + 5*d**2 - d + 12 What is the x'th term of -1396, -1396, -1416, -1456, -1516, -1596? -10*x**2 + 30*x - 1416 What is the u'th term of 6254, 12560, 18916, 25322? 25*u**2 + 6231*u - 2 What is the q'th term of -369055, -369056, -369057? -q - 369054 What is the s'th term of -50139, -50134, -50119, -50088, -50035, -49954, -49839? s**3 - s**2 + s - 50140 What is the g'th term of -626, -776, -926? -150*g - 476 What is the w'th term of -452, -1352, -2712, -4532? -230*w**2 - 210*w - 12 What is the x'th term of 233, 441, 639, 821, 981, 1113, 1211, 1269? -x**3 + x**2 + 212*x + 21 What is the n'th term of -101, -348, -773, -1382, -2181, -3176, -4373? -n**3 - 83*n**2 + 9*n - 26 What is the n'th term of 511, 598, 663, 694, 679, 606? -2*n**3 + n**2 + 98*n + 414 What is the l'th term of -775, -1494, -2227, -2980, -3759? -l**3 - l**2 - 709*l - 64 What is the c'th term of 11641, 11633, 11621, 11605, 11585, 11561, 11533? -2*c**2 - 2*c + 11645 What is the b'th term of 1386, 3632, 7376, 12618? 749*b**2 - b + 638 What is the n'th term of -118055, -118056, -118057, -118058? -n - 118054 What is the c'th term of 1576, 3115, 4628, 6115, 7576, 9011? -13*c**2 + 1578*c + 11 What is the w'th term of 16051, 16048, 16047, 16048, 16051, 16056, 16063? w**2 - 6*w + 16056 What is the f'th term of 206, 315, 488, 713, 978, 1271? -2*f**3 + 44*f**2 - 9*f + 173 What is the h'th term of 75, 237, 481, 807, 1215, 1705, 2277? 41*h**2 + 39*h - 5 What is the d'th term of 25638, 25715, 25842, 26019, 26246? 25*d**2 + 2*d + 25611 What is the t'th term of 190, 793, 2422, 5587, 10798, 18565? 85*t**3 + 3*t**2 - t + 103 What is the p'th term of 210582, 210580, 210578, 210576, 210574? -2*p + 210584 What is the n'th term of -153, -440, -845, -1368, -2009? -59*n**2 - 110*n + 16 What is the c'th term of -11579, -11599, -11609, -11603, -11575, -11519? c**3 - c**2 - 24*c - 11555 What is the y'th term of -819, -804, -763, -684, -555, -364? 2*y**3 + y**2 - 2*y - 820 What is the i'th term of -39856, -39884, -39912, -39940? -28*i - 39828 What is the m'th term of -12426, -12431, -12438, -12447, -12458, -12471, -12486? -m**2 - 2*m - 12423 What is the c'th term of -47066, -94134, -141202? -47068*c + 2 What is the n'th term of -47, -87, -161, -275, -435, -647? -n**3 - 11*n**2 - 35 What is the x'th term of -48019, -96037, -144043, -192031, -239995, -287929, -335827, -383683? x**3 - 48025*x + 5 What is the f'th term of 266218, 266215, 266212, 266209? -3*f + 266221 What is the d'th term of 939, 877, 773, 627? -21*d**2 + d + 959 What is the d'th term of -3249, -3282, -3315? -33*d - 3216 What is the s'th term of 91, 103, 129, 175, 247, 351, 493, 679? s**3 + s**2 + 2*s + 87 What is the z'th term of 621, 739, 857, 975? 118*z + 503 What is the j'th term of 51180, 102357, 153534, 204711, 255888? 51177*j + 3 What is the d'th term of 376, 1489, 3344, 5941? 371*d**2 + 5 What is the r'th term of 1435, 2855, 4277, 5701? r**2 + 1417*r + 17 What is the y'th term of -3809, -3752, -3659, -3530, -3365, -3164, -2927? 18*y**2 + 3*y - 3830 What is the z'th term of 324, 275, 188, 45, -172, -481? -3*z**3 - z**2 - 25*z + 353 What is the m'th term of 1315, 1452, 1589, 1726, 1863, 2000? 137*m + 1178 What is the b'th term of 4, -129, -590, -1577, -3288, -5921, -9674, -14745? -33*b**3 + 34*b**2 - 4*b + 7 What is the u'th term of 1494, 2821, 4148, 5475, 6802? 1327*u + 167 What is the k'th term of -900, -914, -938, -978, -1040, -1130, -1254, -1418? -k**3 + k**2 - 10*k - 890 What is the j'th term of 18744, 18727, 18710, 18693? -17*j + 18761 What is the y'th term of 81, 13, -93, -231, -395, -579, -777? y**3 - 25*y**2 + 105 What is the a'th term of 191, 186, 191, 212, 255, 326, 431, 576? a**3 - a**2 - 9*a + 200 What is the x'th term of -1119, -1182, -1293, -1458, -1683, -1974? -x**3 - 18*x**2 - 2*x - 1098 What is the n'th term of -30304, -30278, -30252? 26*n - 30330 What is the x'th ter
{ "pile_set_name": "DM Mathematics" }
nd 19 have the same value? True Which is smaller: -2734/5 or -548? -548 Is -15 greater than -53? True Which is bigger: 1627 or 2/3? 1627 Which is bigger: -476 or -477? -476 Which is greater: 1 or -1306? 1 Which is smaller: -8/9 or -2.1? -2.1 Which is bigger: 635 or 637? 637 Which is bigger: -2/3 or -968? -2/3 Which is greater: 301 or 299? 301 Is 313/2 less than or equal to 157? True Which is smaller: 1932 or 1933? 1932 Which is greater: -2 or 135? 135 Is 0 greater than or equal to 22/433? False Which is smaller: -2 or -38/11? -38/11 Are 3 and 3 nonequal? False Which is greater: 2/643 or -1? 2/643 Is 1 not equal to -2/7873? True Which is greater: 4.5237 or -0.1? 4.5237 Which is smaller: -2/3419 or 0? -2/3419 Do 1 and -12/31 have the same value? False Which is smaller: 27 or 6? 6 Which is smaller: 46 or 706/15? 46 Is 2/1219 greater than or equal to 1? False Is 106/15 bigger than 7? True Which is greater: -0.7 or -2? -0.7 Which is bigger: 5/1838 or -1? 5/1838 Which is smaller: -1 or -1/2738? -1 Which is smaller: -0.12 or 800? -0.12 Which is bigger: 0.008 or 0.025? 0.025 Is 0.1 greater than or equal to -1223? True Which is smaller: 0 or 2/25? 0 Is -14120 at most -14121? False Which is greater: 219/7 or 31? 219/7 Which is smaller: 758 or 751? 751 Which is smaller: -0.1 or 0.4395? -0.1 Is 4/87 < -34? False Which is smaller: 312 or 315? 312 Is 8 bigger than 17? False Which is bigger: 0 or 10088? 10088 Which is bigger: 41 or 22? 41 Is -0.1 > 318? False Is 26 < 74? True Is -118/27 < 0? True Which is greater: 8598/7 or 1229? 1229 Which is greater: -0.1747 or 0? 0 Is -65/8 != -8? True Is 492 > 492? False Which is smaller: 2 or 2/265? 2/265 Which is greater: -9 or -2? -2 Which is smaller: 0 or -2/20029? -2/20029 Is -80 not equal to -154? True Are -38 and -14 equal? False Do -211 and 1 have the same value? False Which is bigger: 8834 or -3/5? 8834 Which is smaller: -88 or -805/9? -805/9 Is 426 >= 426? True Is -1/25 less than or equal to 0.2? True Is 1/141 < 0? False Which is greater: -1 or -4/2361? -4/2361 Which is smaller: -1 or 59/21? -1 Do -38/5 and 1/16 have the same value? False Is -693 at least -4? False Which is smaller: -2.5 or -658? -658 Is -0.149 <= -0.1? True Is 1 at least -1/965? True Which is smaller: 44 or -5? -5 Which is greater: 52 or 66? 66 Which is smaller: -2 or 2124/5? -2 Is -3 > -27/17? False Is -61 greater than 64? False Which is bigger: 0 or 1/782? 1/782 Which is smaller: -81 or 144? -81 Which is smaller: 2283/5 or 456? 456 Are -1902 and -1902 equal? True Is -3 >= -41? True Is 1/3 > 254? False Is 54658 less than or equal to 54659? True Which is bigger: 2/12109 or 0? 2/12109 Which is greater: -0.4 or -49? -0.4 Which is bigger: -1/281 or 1? 1 Which is greater: 2333 or 11659/5? 2333 Is 2 greater than or equal to 47/56? True Which is bigger: 32 or 33? 33 Which is smaller: -9/4 or -72? -72 Which is bigger: -218/115 or -1? -1 Which is smaller: 1 or -1/2134? -1/2134 Which is smaller: -173 or 0.27? -173 Which is smaller: -60 or -72? -72 Which is greater: 7 or 0.26? 7 Which is bigger: 5620 or 5617? 5620 Which is smaller: 0.2 or -20/9? -20/9 Is -6598 smaller than 0.2? True Which is bigger: 478 or 479? 479 Which is bigger: 0 or 4/501? 4/501 Is -36414 <= -36415? False Is 5373 greater than or equal to 5375? False Is 1059 <= 1060? True Is 362 < 3262/9? True Is 325 at most 327? True Which is greater: -14352 or 2/3? 2/3 Which is bigger: -2305 or -1? -1 Are -5758 and -5757 unequal? True Are -2127 and -2128 non-equal? True Which is greater: -155 or -156? -155 Are -2 and -743 nonequal? True Are -28 and -21 non-equal? True Which is smaller: -3935 or 2? -3935 Is 313 at least as big as 314? False Are -97 and -96 non-equal? True Which is smaller: -6/2167 or -1? -1 Which is smaller: -28 or -2? -28 Is -1 smaller than -10/167? True Is 0 less than 44/601? True Which is greater: -1007 or -1008? -1007 Which is bigger: 26 or 49? 49 Which is bigger: -1060 or -1063? -1060 Which is greater: -864 or -854? -854 Is 1/307 at least -1? True Is 5/152 bigger than 1? False Does 279 = 290? False Is 74/23 bigger than 3? True Is -38 equal to 48? False Which is greater: 1 or -4/433? 1 Which is greater: -106 or -107? -106 Which is bigger: 0 or -572? 0 Which is bigger: -478/5 or -96? -478/5 Are -0.1 and -7696 equal? False Are 7 and 137/22 nonequal? True Which is greater: 1 or 134/65? 134/65 Is 1145 greater than 1? True Is 0.53 smaller than 4? True Is 457 smaller than 455? False Is 13 < 0.76? False Is -1 greater than 26? False Is 1768 at least 1768? True Which is greater: -10003 or -10002? -10002 Which is smaller: -0.00901 or -0.3? -0.3 Which is bigger: -308 or -311? -308 Is 0 > -9/1024? True Which is smaller: 734 or 740? 734 Is 27 >= -18? True Which is smaller: 0.3421 or 2? 0.3421 Is 0 >= -18/233? True Which is bigger: 4/485 or -1? 4/485 Which is smaller: 0.12 or -10? -10 Which is greater: -561 or -562? -561 Are 305/6 and 51 equal? False Which is smaller: 33/130 or 1? 33/130 Do -147 and -146 have different values? True Is -732 less than or equal to -731? True Does 593 = 584? False Which is bigger: 71 or 64? 71 Is 2503 smaller than 2503? False Does 8/23 = 1? False Which is smaller: 100 or 77? 77 Is -181 smaller than -0.01? True Is 1 smaller than 80? True Is 12 equal to 9? False Which is smaller: -0.07 or -5.1? -5.1 Is -10 greater than or equal to -11? True Which is smaller: -1915 or -1914? -1915 Are 229 and 229 equal? True Which is smaller: 1024 or 1017? 1017 Is -10/27 greater than or equal to -10? True Which is smaller: 6 or -221? -221 Is 36661 <= 36661? True Is 1 less than -2/5447? False Is -7729 at least as big as -7730? True Which is smaller: -120 or 0.3? -120 Which is smaller: 3/1331 or 1? 3/1331 Is 15 less than 311/22? False Which is bigger: -51 or -46? -46 Is 66 at least 67? False Which is bigger: -868 or -869? -868 Are -3 and -7/4 non-equal? True Is 93 at least as big as 90? True Are 5/13 and 1 non-equal? True Which is greater: 0 or -0.01852? 0 Are 13 and -1/26 nonequal? True Are 5 and 5 unequal? False Is 62 less than -4? False Are 2/48701 and -1 non-equal? True Which is bigger: -29/72 or 0? 0 Which is smaller: -19494 or -19495? -19495 Is -3015 < -0.1? True Which is bigger: 1 or 11/509? 1 Is 52 at most as big as 0.32? False Is 23 at least as big as 8/3? True Which is greater: 1/54320 or 1? 1 Which is smaller: 471/22 or 21? 21 Which is smaller: 0 or -10/77? -10/77 Does 2 = 579? False Which is smaller: 982 or 12750/13? 12750/13 Which is greater: -317 or -2860/9? -317 Is 1/7048 at most as big as -1? False Is 9 at most as big as 10? True Which is bigger: 20.5 or 2/7? 20.5 Which is smaller: -3 or 2528? -3 Is -266/47 at least as big as -5? False Are -677 and -673 unequal? True Is 1 at least 0.025? True Is 2 at least 736? False Are -280 and -280 nonequal? False Is 1/1757 at least as big as -1? True Which is smaller: -3 or 192? -3 Are 2 and 0.0042 equal? False Which is bigger: -246/19 or -14? -246/19 Is 191 smaller than 192? True Are -3 and 113 nonequal? True Is 1 >= 1/482? True Is -247 at most as big as -259? False Is -5 < -4/11? True Which is smaller: 1664 or 1661? 1661 Is -87 at most -86? True Which is smaller: 282/5 or 57? 282/5 Are 1437 and 1436 nonequal? True Is -4/109 at most as big as -6? False Which is smaller: -15 or -2? -15 Is -8 at most -111/14? True Which is smaller: -2/5 or 126? -2/5 Do -225 and -232 have the same value? False Which is bigger: -222 or -1112/5? -222 Is 0 <= 103/320? True Do 0.2 and 39.07 have different values? True Which is smaller: -2809 or -3? -2809 Is 6 at least as big as 62/11? True Do -2/30683 and -1 have the same value? False Is -6/4729 != 1? True Is 94 < 89? False Is 52 <= 1? False Is -1 at least -1474? True Are -11/69 and 1 equal? False Is 1/48 less than 1? True Is 62/9 > -2? True Which is bigger: 2 or -170? 2 Does -1/57229 = -1? False Are 2 and 5344 nonequal? True Is 1 equal to 82/435? False Which is smaller: 0 or -6/17515? -6/17515 Which is bigger: -5/3 or 0? 0 Is -1848 less than -1848? False Is -10/3 >= -4? True Which is smaller: 2/871 or -1? -1 Which is smaller: 0 or -0.673? -0.673 Is -438/7 at least as big as -63? True Is 33840 at most 33839? False Which is greater: 0.1 or 941? 941 Is 10/9 less than or equal to -9/2? False Which is s
{ "pile_set_name": "DM Mathematics" }
Let w = 10/3 - 11/3. What is the nearest to w in 2, -2, -0.5? -0.5 Let x = 0.05 - 5.05. Let w be 2*(-2)/(-4) - 2. Let r be -1 + w + -1 + 2. Which is the closest to r? (a) -2/5 (b) 0.5 (c) x a Let p = -362 - -363. Let g = -3.2 + -0.8. Which is the nearest to p? (a) -2/11 (b) 2/7 (c) g b Let n be 10/45 + 86/18. Suppose -n*j = -0*j + 25, -3*y + 5*j = -70. Let f be y/(-8) + 1 + 1. Which is the closest to -0.1? (a) 5 (b) 0.5 (c) f c Let t be (16/(-134))/(2 - 4). Let z = 35/536 + t. Let x = -0.9 - -1. What is the closest to x in 0.1, z, 2? 0.1 Let d = 2.47 - 0.27. Let o = d + -0.2. Let b(i) = i - 15. Let p be b(12). What is the nearest to o in -2/9, -1, p? -2/9 Let j = -1.97 - 0.03. Suppose 3*f + 4*s + 5 - 29 = 0, 11 = 5*f - 3*s. Which is the nearest to j? (a) f (b) 0.2 (c) -3 c Let f = 1.2 - 0.1. Let r = -1.1 + f. Which is the closest to r? (a) -1 (b) -2/5 (c) 1/5 c Let w = 0.02 - 5.92. Let y = w + 6. What is the nearest to -1/3 in y, -3/4, 4? -3/4 Let z = -2.3 + 0.3. Let g = 23 - 23. Let x = 0.06 - 0.06. Which is the nearest to g? (a) x (b) z (c) 0.1 a Let x = -0.6 + 0.66. Let r = 0.34 + x. Suppose p = -0*p - 2. What is the nearest to -0.1 in 2, p, r? r Let d be (-2)/3 - 7430/42. Let o = d + 177. Let u(m) = -m. Let r be u(1). What is the closest to r in o, -1, 0.1? -1 Let r = -13.3 + 13.4. Let h = -1.1 - -0.1. Which is the closest to 0? (a) h (b) 1/2 (c) r c Let s = -1/56 + -53/168. What is the nearest to -3 in s, 4, -5? -5 Let x = -0.2 + 0.6. Let t = 15 + -18. What is the closest to 0 in t, 5, x? x Let c = 14.94 - 15. Let a = 4 - -1. What is the closest to -1 in c, a, -4? c Let h = -89/276 + -1/92. Let y = -3 + 2.8. Which is the nearest to 0.1? (a) h (b) -4 (c) y c Let g = -2 - -4. Let f be 10/(-6) + (g - 0). Let k = 15 + -20. What is the closest to -1/2 in k, 3/2, f? f Let f = -2.46 + 0.46. Which is the nearest to 0? (a) 4/5 (b) -3/7 (c) f b Suppose -4*y - 1 = -2*n + 9, -5*n = -5*y - 10. What is the closest to y in 2, 1, -0.3? -0.3 Let y(a) = 3*a**2 + 2*a - 1. Let n(l) = -l**3 - 7*l**2 - 5*l + 7. Let i be n(-6). Let d be y(i). Suppose -s - s = d. What is the nearest to 0.1 in -1, -0.2, s? -0.2 Let s = 30 - 29.6. Which is the nearest to 1? (a) s (b) 0.2 (c) 3/5 c Let y = -30.6 - -31. Which is the nearest to -1/4? (a) -4/7 (b) y (c) 0 c Suppose 3*t + 3*r - 92 = 2*r, -62 = -3*t + 5*r. Suppose -t = 2*l - 5. Let x be (-9)/(-6)*1/l. Which is the nearest to 1? (a) 0 (b) -2 (c) x a Let q = 21/73 - 293/511. Let u = 1253/52 + -97/4. Which is the closest to -0.1? (a) u (b) 1/2 (c) q a Let a = 21.5 - 21. What is the nearest to 0 in a, 2/7, 4? 2/7 Let s = 5.5 + -5. Which is the closest to 1/2? (a) -0.2 (b) -0.07 (c) s c Let p = 0.92 + 3.18. Let f = p - 4. Which is the closest to 1? (a) 0.2 (b) f (c) 2/7 c Let y(x) = 3*x. Let k be y(-12). Let z be (3/k)/(15/(-40)). Which is the nearest to -1? (a) 1/2 (b) z (c) 2/7 b Let g = -0.5 + 0.8. Let k = -1.3 + g. Which is the nearest to -0.2? (a) 1/7 (b) 0.3 (c) k a Suppose 0 = -2*k - 4*g - 24, -k - g + 3 = -5*k. Let q = 5/4 - 23/20. Let j = q + -7/20. Which is the closest to 2? (a) j (b) 1 (c) k b Let q be (1 + -2)*1 - 0. Let j be (-1)/(0 - q*3). Let u be 7/(-3) + (-1 - -3). What is the nearest to j in 2/13, u, 1? u Let m = 4 + 2. Let s = m + -9/2. Which is the closest to -0.1? (a) 0.4 (b) -2/7 (c) s b Suppose 0*r - 3*r = -5*d - 134, 5*d + 131 = 2*r. Let n = 22 + d. What is the nearest to -2/3 in n, -7, 3? n Let x = -303/16 + 19. Let h = 27/80 + x. Let o be 2 - (-2 + -2 + 3). Which is the nearest to 0.1? (a) o (b) 4 (c) h c Let g be (-8)/(-12)*2/(-4). Let x(l) = -l**3 + l**2 + l - 1. Let r be x(1). Which is the nearest to g? (a) 1 (b) r (c) -5 b Let l = 104/11 + -684/77. What is the nearest to -2/9 in 0.3, l, 0.4? 0.3 Let f = -0.89 - -5.89. Which is the nearest to f? (a) -1 (b) 0.4 (c) -3 b Suppose -2 + 1 = -n. Which is the nearest to -1? (a) 3 (b) 5 (c) n c Let d = -1 - 0. Let c = 4 + -3. Let h = d + c. What is the nearest to h in -0.5, 0, 2/7? 0 Let r be (-3)/9*(-2 + 3). Let w = 13/2 - 6. What is the nearest to w in 2, r, 0? 0 Let g = 1 - 0.5. Let r = -0.1 + -0.3. Let d be (2/35)/(2/(-10)). Which is the closest to 0.1? (a) r (b) g (c) d c Suppose 0 = -4*z - 16, -3*q = 2*q + z + 14. Let t = q + 4. Let o = -13 - -12. Which is the nearest to o? (a) -0.2 (b) t (c) 0.4 a Suppose 4*u = -5 + 9. Let o = -4 - -3. Let l be 0 + o + (-9)/(-8). Which is the nearest to u? (a) -1/2 (b) l (c) -5 b Let c = 7 + -6. Let d = 0.2 + -0.2. What is the nearest to 2/7 in d, c, -5? d Let t = -0.04 - -2.04. Let r = 2 - t. Let b = 14 + -10. What is the closest to r in 1/2, 1/5, b? 1/5 Let s = -12 - -7.6. Let o = s + 4. Let u = 0 + o. Which is the closest to 2/5? (a) u (b) 5 (c) -0.2 c Let z = -23 + 11. Let j = z + 17. Which is the nearest to 1? (a) 0.4 (b) -4/5 (c) j a Let b = -16/15 - -82/105. Suppose 2*c + 2*r = 18, 4*r = -2*c + 63 - 35. What is the nearest to 0 in b, -0.2, c? -0.2 Suppose 4*y - 2*y = 4*m + 20, y - 14 = 3*m. Suppose -k - 2 = -y*k. Let c be -1 + 1 - 2/(-18). What is the nearest to 0.2 in k, -0.5, c? c Let o = -0.24 - -0.2. Let m = -0.54 - o. Which is the nearest to -1? (a) m (b) 2 (c) -0.3 a Let r = -8.9 + 9. Which is the nearest to 0.02? (a) r (b) 0 (c) 0.3 b Let k = -1.46 + 1.36. Which is the nearest to k? (a) -2/11 (b) 4 (c) -0.007 a Let t = 4.14 - 0.14. Which is the closest to 2/5? (a) t (b) 0.06 (c) 3 b Let r = -5.8 - 17.7. Let x = r - -19. Let p = x + 5. What is the nearest to 2 in 0.4, 3, p? 3 Let n be (-4)/6 + 5/12. Let r = 171 + -1883/11. Which is the nearest to n? (a) -0.01 (b) -4 (c) r c Let t be ((-6)/4)/((-3)/(-6)). Let l = -6.04 - -0.04. Let d = 6.4 + l. Which is the closest to 2/7? (a) 4 (b) t (c) d c Let d(l) = -l - 17. Let i be d(-14). Let b be 3/(i/1) + -2. What is the nearest to b in 2, 0.4, -0.2? -0.2 Let z = 3 - 13/4. Let q = 6 - 1. What is the closest to z in -1/6, q, 0.3? -1/6 Let v be ((-8 + 7)*(0 + -1))/(-3). Which is the nearest to 0? (a) v (b) 7 (c) -4/5 a Let x = 0.53 - 3.53. What is the nearest to 0.2 in 2, 3, x? 2 Let h = -2/49 - 190/147. Which is the nearest to -2/11? (a) 0.5 (b) 0.4 (c) h b Let i = -485 + 485. Suppose 0 = -3*f - 3*z - 5 - 4, 4*z = 4*f - 20. Which is the nearest to i? (a) 1/4 (b) 1/5 (c) f b Let u be (-10)/4*(-15)/25. Suppose -2*o = -i - 8, -4*o - 3*i + 5 = -1. Let j = -25 - -25. What is the closest to j in u, o, -0.5? -0.5 Let a = 0.08 + 1.92. Let i be -4*(-1)/48*-3. What is the closest to i in -0.5, a, -5? -0.5 Let n = 0.2 - 0. Suppose 13 = 3*j - 5*g, 0*j - 5*j + g + 7 = 0. Let t be (8/(-6) - -1) + j. Which is the closest to 1? (a) 3 (b) n (c) t c Let n = -3 - 1. Let g = -5 - -3. What is the nearest to g in n, -0.5, -2/9? -0.5 Let v be 19/(-30) - (-1)/(-5). What is the closest to 1/3 in v, 3/4, -1? 3/4 Let o = 1.09 - -0.91. Which is the closest to -3.2? (a) 0.5 (b) o (c) 5 a Let g = -2 - 5.6. Let m = g - -8. What is the nearest to 1 in m, -2, 0? m Let f be 0*(28/(-12) - -2). What is the nearest to f in -1/4, -2, -6/11? -1/4 Suppose -5*r - 2 = -7. Suppose 5*b - 2*t = 14, 4*b - 3*t = -6*t + 25. What is the nearest to r in 0, b, 0.4? 0.4 Let q(j) = j**2 + 5*j. Let k be q(-4). Suppose 30 = -13*d + 7*d. What is the closest to 1 in k, -3, d? -3 Let b = 33/52 + -5/13. Let w = 0.3 + -0.5. Let j be (-1)/(-1 - (3 - 2)). What is the closest to j in b, w, 1? b Let y be 0/2 + (-3)/((-156)/8). Which is the nearest to -1? (a) 3 (b) y (c) 13 b Let g be (-4)/(4/(-4)*2). Let h = -1.94 + -0.06. Let m = h + 1. What is the closest to g in -5, m, -2? m Let s(n) = -n**3 + n**2 + 3*n - 2. Let j be s(2). Let p = 0 + j. Let l = -0.21 - -0.01. Which is the nearest to p? (a) 0.1 (b) l (c) -5 a Let i be 3 - (156/(-15))/(-4). Which is the closest to 1/4? (a) 2 (b) i (c) 4 b Let p = 4 - 4.3. What is the nearest to p in 0, 5, -1/4? -1/4 Let m = -16.8 - -17.3. Let o = -3 + 2. Which is the closest to 1/4? (a) o (b) -2 (c) m c Let m = 0.1 - -0.4. What is the closest to -2/7 in 0.3, -3, m? 0.3 Let c = -14 + 14.1. What is the nearest to c in -0.4, -2/7, -1/4? -1/4 Let o = 0.15 - -3.85. Let r be 2*(-2)/38*1. Which is the nearest to -1? (a) 2 (b) r (c) o b Let o = 65 + -45. Let q
{ "pile_set_name": "DM Mathematics" }
(11) + (1 + sqrt(19))*-6)**2). 192*sqrt(19) + 2240 Simplify 6*((sqrt(21)/sqrt(343))**2 - (sqrt(75) + -5)**2)*2. -58764/49 + 600*sqrt(3) Simplify ((sqrt(68) + sqrt(68)*1 - sqrt(187)/(sqrt(11)*3))*-3*4)**2. 32912 Simplify sqrt(52) + (sqrt(52) + -4 + -4 - sqrt(52)) + (5 + sqrt(468))**2 + sqrt(52). 64*sqrt(13) + 485 Simplify (2*((sqrt(209) - (sqrt(209) + 3*sqrt(209) + sqrt(209))) + sqrt(209)) + sqrt(209))/(sqrt(176) + -3*sqrt(176)). 5*sqrt(19)/8 Simplify (-4 + ((-1 + 1 + sqrt(1100))*-4)**2)*6. 105576 Simplify -5 + (sqrt(220)*1*1)/(sqrt(121)/(sqrt(11) + sqrt(11)*1)). -5 + 4*sqrt(5) Simplify 6*(-4 + -5*(2 + (sqrt(128) + 2 - sqrt(128))))**2. 3456 Simplify 3 + (sqrt(170) + (sqrt(170)*-2*-5 - sqrt(170) - sqrt(170)))/(sqrt(160) + sqrt(160)*-2) + -2. -9*sqrt(17)/4 + 1 Simplify ((((sqrt(216)/sqrt(4))/sqrt(2) - sqrt(27))*-1)/(3*sqrt(27)/sqrt(3)*-5) + 5)**2. 25 Simplify 3 + ((-1*sqrt(22)*-3)/(-1*sqrt(162) + sqrt(2)))**2. 291/64 Simplify ((-6*(sqrt(156) - (3*sqrt(156) - sqrt(156))))/(sqrt(12)*-3*1 - sqrt(12)))**2. 117/4 Simplify ((6*-1*sqrt(240))/sqrt(6))/(-4*1*sqrt(800)). 3*sqrt(5)/20 Simplify -4 + (-4 + -1*sqrt(2299) + -3)**2. 154*sqrt(19) + 2344 Simplify -4*(sqrt(12)/sqrt(4) + -1 - (1 + sqrt(3) + 0)) - (6*(sqrt(108) + sqrt(3)) - (sqrt(6)/sqrt(18))**2). -42*sqrt(3) + 25/3 Simplify (((sqrt(12)*-2)/sqrt(2))/(sqrt(72) + sqrt(72)*1)*6)**2. 3 Simplify (-3*sqrt(156)*-3 - sqrt(156))/(sqrt(108)*-3). -8*sqrt(13)/9 Simplify (-3 + (sqrt(13) - (1 + sqrt(1872))) + 5 - 2*(sqrt(208)/sqrt(72))/sqrt(2))**2. -70*sqrt(13)/3 + 15934/9 Simplify -3*(-5*(sqrt(117) + 2) - 2*sqrt(117)*-1)**2. -3459 - 540*sqrt(13) Simplify 1*6*-1*(1 + sqrt(76) + 5 - (4 + 0 + sqrt(76)))**2. -24 Simplify 2*(-2*sqrt(125) + (-1*sqrt(25))/sqrt(5)) + 3. -22*sqrt(5) + 3 Simplify ((-5*sqrt(132)*3 - sqrt(132))/sqrt(12))**2 + 5*(sqrt(44) + -5). 10*sqrt(11) + 2791 Simplify ((1*sqrt(6))/sqrt(2))**2*3 - -5*(sqrt(243) + 0). 9 + 45*sqrt(3) Simplify (sqrt(60)/(sqrt(405)*1))/((sqrt(864) - (sqrt(864) - (sqrt(864)*-2 + sqrt(864))))*6). -sqrt(2)/648 Simplify -2 + (0 + sqrt(216)/(sqrt(12)*1) + sqrt(18) + (sqrt(18) - sqrt(162)*3))**2. 646 Simplify ((sqrt(3024)*1)/((sqrt(7) - 3*sqrt(7))*-1)*5)**2 + 1. 2701 Simplify (sqrt(3) + 6*-3*sqrt(3))**2 + (sqrt(3) - (sqrt(6) + sqrt(42)/sqrt(7) + sqrt(6))/sqrt(2)) + -1 + -4 + 0 + sqrt(192). 6*sqrt(3) + 862 Simplify -5 + (sqrt(1620) + 4 + -2)**2*-6. -9749 - 432*sqrt(5) Simplify (-5*-2*sqrt(13) - (sqrt(78)/(sqrt(6)*-2) + sqrt(13)))**2 - (-4*sqrt(143)*-2)/((sqrt(132) - sqrt(132)*2)/sqrt(12)). 8*sqrt(13) + 4693/4 Simplify (sqrt(180)/(sqrt(12) + sqrt(48)) - sqrt(15) - ((sqrt(1215) - (sqrt(1215) + 2*sqrt(1215))) + sqrt(1215)))/(sqrt(108)/sqrt(81)). 25*sqrt(5)/2 Simplify (0 + (-4 + 4 + -1*sqrt(2) + -2 + sqrt(6)/sqrt(3) + sqrt(2) + -1)*1)**2. -6*sqrt(2) + 11 Simplify (-2 + 4 + (sqrt(320) + -2 + -2 + (sqrt(320) - (sqrt(320)*-2 + 1)))*-2)**2. -1536*sqrt(5) + 20624 Simplify 3 + (2*(sqrt(150)/sqrt(3) - sqrt(50)) - 1*sqrt(200)/sqrt(4)). -5*sqrt(2) + 3 Simplify (-2*1*(sqrt(60) + (sqrt(240)/sqrt(4) - sqrt(60))))/((sqrt(588) + sqrt(588) + 2*sqrt(588) + sqrt(588) - sqrt(588))*-2 - sqrt(588) - sqrt(588)). sqrt(5)/35 Simplify (5*-5*sqrt(117)/(sqrt(99)/sqrt(99)))**2 + -1. 73124 Simplify -2 + (((sqrt(117)*-2 - sqrt(117)) + sqrt(117))*-4)/((sqrt(108) - -3*sqrt(108) - sqrt(108))/sqrt(12)). -2 + 8*sqrt(13)/3 Simplify (-3 + -4 + sqrt(1100) + (sqrt(1100) + -3 + -1 + sqrt(1100) - sqrt(1100)) + sqrt(1100))**2*-3*-5. -9900*sqrt(11) + 150315 Simplify 5*((sqrt(363) + -4 + -1)**2 + (0 + (sqrt(105)/sqrt(5))/sqrt(7))**2). -550*sqrt(3) + 1955 Simplify ((-2*sqrt(96) + sqrt(24))/sqrt(8))**2 - (((sqrt(3) - sqrt(9)/sqrt(3) - sqrt(3)) + 0)**2 + (sqrt(3) + sqrt(30)/sqrt(90))**2). 56/3 Simplify (-5*sqrt(4896)*2)/(sqrt(200) + sqrt(200) + (sqrt(200) - (sqrt(200) - sqrt(200)*-2*-4 - sqrt(200)))). -12*sqrt(17)/11 Simplify (4*(-2 + sqrt(11) + sqrt(1584) + 2*sqrt(1584) + sqrt(1584) + sqrt(1584)) + 4)**2. -1952*sqrt(11) + 654912 Simplify 0 + sqrt(20)/(sqrt(250) - (sqrt(250) - -2*sqrt(250) - sqrt(250)))*-6*-3. -18*sqrt(2)/5 Simplify (5*(4*sqrt(96)*-1)/(6*sqrt(4)/sqrt(2)))**2. 1600/3 Simplify (5*sqrt(810)*-2)/(-1*(sqrt(5) + 2*sqrt(405) + sqrt(405))). 45*sqrt(2)/14 Simplify ((2 + 1*sqrt(80))**2 - sqrt(30)/(sqrt(18)/(sqrt(3)*-4))) + -3. 20*sqrt(5) + 81 Simplify 1*(sqrt(484) - ((sqrt(484) - (sqrt(484)*-2 + sqrt(484))) + sqrt(484))*6)/((sqrt(99)*-1)/sqrt(9))*-5. -170*sqrt(11) Simplify (sqrt(468) + 1)*-3 + -1 + 0 + -2*sqrt(468)*-1. -6*sqrt(13) - 4 Simplify 1*sqrt(392)*3 + 1*(sqrt(392) + 1). 1 + 56*sqrt(2) Simplify (1*(sqrt(800)*2 + -1)*3)**2 + -4. -720*sqrt(2) + 28805 Simplify 6*(sqrt(30)/((sqrt(96) - sqrt(6))*2 + sqrt(6)) + (sqrt(5) - sqrt(375)/sqrt(3)) + -3). -162*sqrt(5)/7 - 18 Simplify -2 + ((sqrt(76)*-1*-1 - sqrt(76))/(6*sqrt(8)/sqrt(2)))**2. -2 Simplify (0 + (sqrt(847) + sqrt(847) + sqrt(847) + -1 + -4 - sqrt(847) - (-5 + (1 + sqrt(847) - sqrt(847) - sqrt(847))) - (-6*2*sqrt(847) + -1)))**2. 190575 Simplify (sqrt(5)*-2*-5 - sqrt(80)*-2) + (sqrt(35)*-1*-4)/sqrt(7). 22*sqrt(5) Simplify 4*(-1 + 4*(sqrt(30)/sqrt(3)*-1)/sqrt(2))**2. 32*sqrt(5) + 324 Simplify sqrt(19)*-3*2 + (-4 + sqrt(171))**2 + -2. -30*sqrt(19) + 185 Simplify 6*((-1 + (sqrt(1100) - ((sqrt(1100) - -2*(sqrt(1100) + 0) - sqrt(1100)) + sqrt(1100) - sqrt(1100) - sqrt(1100))))*-6)**2. 216 Simplify (sqrt(56) + sqrt(8064)*-4)/((sqrt(8) - (sqrt(80)/(sqrt(10)*3) + sqrt(8))) + sqrt(8)). -141*sqrt(7)/2 Simplify -1 + ((sqrt(3388) - (sqrt(3388) + -2) - sqrt(3388)) + 1)*-2. -7 + 44*sqrt(7) Simplify 2 + 3 + (sqrt(25)/sqrt(5) - sqrt(5)) + -3 + 0 + sqrt(20). 2 + 2*sqrt(5) Simplify ((sqrt(720) + -1 + 1)*-1 + (sqrt(720) - ((1 + sqrt(720))*2 - sqrt(720))) + (0 + sqrt(720))*-2)**2. 144*sqrt(5) + 6484 Simplify (-2*-3*(1 + sqrt(637) + sqrt(39)/sqrt(3)*6) + 3)**2. 1404*sqrt(13) + 79173 Simplify (3 + 1 + (sqrt(72) - ((-1*sqrt(72) - sqrt(72)) + sqrt(72))) + 1)**2 + -1. 120*sqrt(2) + 312 Simplify (sqrt(1800)*-2 + sqrt(50) + (sqrt(50) - sqrt(800)*-3 - sqrt(50) - sqrt(50)))/(5*-1*sqrt(1000)). 0 Simplify sqrt(65)/(6*sqrt(5)*-1) - (-1*sqrt(1664))/sqrt(2). 47*sqrt(13)/6 Simplify (1*sqrt(726)*2)/(sqrt(75) + sqrt(75)*-1*-3 + sqrt(75)). 22*sqrt(2)/25 Simplify -1 + (sqrt(128)*-2 + 4 + 5 + sqrt(162) + -3 + sqrt(162))**2. 24*sqrt(2) + 43 Simplify sqrt(30)/sqrt(90) + 0 + ((sqrt(12)*1 + sqrt(12))*4)/sqrt(4). 25*sqrt(3)/3 Simplify 1 + ((sqrt(144) - sqrt(144)*3)/sqrt(12) - sqrt(12))/(sqrt(60)/(sqrt(10) + sqrt(160) + sqrt(10))). -18*sqrt(2) + 1 Simplify 2 + (sqrt(187)*-2*5 - sqrt(187))/(sqrt(1782)/sqrt(2)). -11*sqrt(17)/9 + 2 Simplify (-1*(sqrt(2541) - -2*sqrt(2541))/(sqrt(1764)/sqrt(7)))**2. 363/4 Simplify -1 + -4 + (sqrt(19) - sqrt(114)/(sqrt(6)*-1)) + ((sqrt(171) - 1*sqrt(171) - sqrt(171))/sqrt(9) - sqrt(19)). -5 Simplify 2 + ((0 + sqrt(425))*-5 - sqrt(425)) + ((-2*sqrt(306))/sqrt(2) + 1)**2. -42*sqrt(17) + 615 Simplify 1*2*(1 + sqrt(1573)*-2 + sqrt(1573))*2*-5. -20 + 220*sqrt(13) Simplify 4 + ((sqrt(98) + (sqrt(98) - -1*sqrt(98)))**2 + 4 - ((sqrt(98) + 1 - sqrt(98)) + -1))*4*-2. -7084 Simplify (-2 + sqrt(500))**2*3 + -4*(sqrt(500)*-2 + sqrt(500))**2 - (2 + 2*((((2 + sqrt(500) - sqrt(500)) + sqrt(500))**2 - sqrt(500)) + sqrt(500))). -1498 - 200*sqrt(5) Simplify -4 + -3*((((sqrt(119) + (sqrt(119) + (sqrt(119)*1*-1 - sqrt(119)) - sqrt(119)) - sqrt(119)) + sqrt(119))/(sqrt(7) - sqrt(1008)*-1 - sqrt(7)))**2 + 0). -209/48 Simplify (-1 + 2*sqrt(9)/sqrt(27))*-2*-6. -12 + 8*sqrt(3) Simplify ((-4 + sqrt(99) + -2 + -2 + (sqrt(99) - -2*sqrt(99)*-3))*-4)**2. 3072*sqrt(11) + 26368 Simplify (6*(sqrt(133) - (-1*sqrt(133) - sqrt(133))) + sqrt(133))/sqrt(7) + ((sqrt(228) + 1*sqrt(228)*1)/sqrt(12))**2. 76 + 19*sqrt(19) Simplify (sqrt(30)/sqrt(5)*4)/(sqrt(363) - sqrt(363)*-3). sqrt(2)/11 Simplify -3 + 6*2*((sqrt(425) + 0)*2 + -1*sqrt(425) + 4)**2. 480*sqrt(17) + 5289 Simplify -1*(-3*(sqrt(17) - sqrt(34)/sqrt(2)*1 - sqrt(17)) - (3 + sqrt(17) + 0 + sqrt(17) - (sqrt(17) - (1 + sqrt(34)/sqrt(2))))**2)*4. 52*sqrt(17) + 336 Simplify (3*(sqrt(343) + (sqrt(343) + 1 - sqrt(343)) + -1 - (sqrt(343) + sqrt(343) + 2 + 5 + sqrt(343) - sqrt(343) - sqrt(343)))*-4)**2. 7056 Simplify -6*(sqrt(720) + -2*sqrt(720) + -3 + 1)*-6. -432*sqrt(5) - 72 Simplify (sqrt(104) + 2*-3*sqrt(104))/sqrt(8) - (-3*sqrt(1911))/sqrt(3). 16*sqrt(13) Simplify (-3
{ "pile_set_name": "DM Mathematics" }
08) + sqrt(1008)*2 + sqrt(1008) + -3 + -2. -5 + 48*sqrt(7) Simplify (2*sqrt(90))/((6*2*sqrt(2) - sqrt(2) - sqrt(2) - sqrt(2) - sqrt(2)) + sqrt(2) - sqrt(2) - sqrt(2))*-2. -12*sqrt(5)/7 Simplify -4 + 1*sqrt(147) + -1. -5 + 7*sqrt(3) Simplify ((sqrt(2448) + (sqrt(2448)*3 - sqrt(2448)))**2 + sqrt(2448))*-5. -110160 - 60*sqrt(17) Simplify 4 + (-1 + sqrt(11) + 5)**2. 8*sqrt(11) + 31 Simplify -2 + (sqrt(153) + sqrt(153) + 3 - sqrt(153)). 1 + 3*sqrt(17) Simplify 5 + sqrt(1024)/sqrt(8). 5 + 8*sqrt(2) Simplify 1*(sqrt(7)*-1 + -5)**2 - 3*1*sqrt(343). -11*sqrt(7) + 32 Simplify sqrt(68)/(sqrt(24)/(sqrt(6)*-2 + sqrt(6))) + -4. -sqrt(17) - 4 Simplify -2 + (sqrt(2) + -2 + sqrt(98))**2. -32*sqrt(2) + 130 Simplify 5*sqrt(99)*2 + 2. 2 + 30*sqrt(11) Simplify ((sqrt(152)*-1)/sqrt(8))**2 + (2 + 2 + sqrt(19))**2. 8*sqrt(19) + 54 Simplify (sqrt(17) + sqrt(187)/(sqrt(11) + (sqrt(99) - sqrt(11))) + 5)**2 - (-1 + sqrt(1377) + sqrt(34)/sqrt(2) + 3). 10*sqrt(17)/3 + 479/9 Simplify (-2*(sqrt(605) + sqrt(605)*-2*3 + sqrt(605) - (-1*1*sqrt(605) - sqrt(605))))**2. 9680 Simplify -1 + ((sqrt(13) + sqrt(65)/sqrt(5) + sqrt(13))*3)**2. 1052 Simplify (sqrt(189)/sqrt(3) + sqrt(7))**2 - sqrt(28)/sqrt(4)*2. -2*sqrt(7) + 112 Simplify (sqrt(243) - (sqrt(243) + sqrt(243) + 2 + -4)**2)*2. -1952 + 162*sqrt(3) Simplify 5 + -1 + sqrt(1573). 4 + 11*sqrt(13) Simplify ((sqrt(252)*2*-1)/(-5*(sqrt(144) + sqrt(9) + sqrt(9))))**2. 28/225 Simplify (sqrt(2) + 2 + 5)*3*-3. -63 - 9*sqrt(2) Simplify (-1*sqrt(209)*-1)/((2*sqrt(132))/sqrt(12) - sqrt(11)). sqrt(19) Simplify (sqrt(76) + sqrt(76)*2*-5)/(-2*sqrt(196)). 9*sqrt(19)/14 Simplify (1 + sqrt(20) - (sqrt(5) + sqrt(90)/sqrt(2)))**2. -4*sqrt(5) + 21 Simplify (1*sqrt(288) - (sqrt(2) + sqrt(12)/(sqrt(6) + sqrt(600) + sqrt(6))))**2. 17161/72 Simplify (-4*(sqrt(1300) + -2) + -1 + 0)**2. -560*sqrt(13) + 20849 Simplify ((sqrt(550)*1)/sqrt(10))/sqrt(5). sqrt(11) Simplify sqrt(51)/(-1*sqrt(3)*-5). sqrt(17)/5 Simplify 1*(sqrt(98) + 1) + -3. -2 + 7*sqrt(2) Simplify sqrt(22)/(sqrt(98)*-4). -sqrt(11)/28 Simplify -4*sqrt(468)/sqrt(4). -12*sqrt(13) Simplify sqrt(1225)/sqrt(7) + sqrt(700). 15*sqrt(7) Simplify 2*(1 + sqrt(448))**2 + 4. 32*sqrt(7) + 902 Simplify (sqrt(48)/sqrt(3))/(sqrt(2) - sqrt(8)*-1). 2*sqrt(2)/3 Simplify (-3*(sqrt(13) + sqrt(143)/sqrt(99))*-3)**2. 1872 Simplify (2*(4 + -3*sqrt(52)/sqrt(4)*1))**2. -96*sqrt(13) + 532 Simplify sqrt(891) + 6*(-1 + sqrt(891) - sqrt(891) - sqrt(891)) - ((-2 + 2*sqrt(891) - sqrt(891))**2 + sqrt(891)). -901 - 18*sqrt(11) Simplify sqrt(11) + (sqrt(11) - (sqrt(11) + sqrt(11) + -1 + -2))**2 - (2*sqrt(704))**2. -2796 - 5*sqrt(11) Simplify (-4*sqrt(8))**2 + -5. 123 Simplify 2*(-5*(1 + sqrt(2)))**2. 100*sqrt(2) + 150 Simplify sqrt(133)/(sqrt(49)/sqrt(252)). 6*sqrt(19) Simplify (sqrt(80) + (sqrt(80) - (-1 + sqrt(80)) - sqrt(80)) - sqrt(80))**2 - (sqrt(40)/(4*sqrt(8)) + sqrt(5) - sqrt(5)). -33*sqrt(5)/4 + 81 Simplify 1 + sqrt(1539) - (sqrt(95) + (sqrt(95) + (sqrt(95) - (sqrt(95)*1 + sqrt(95)) - sqrt(95)) - sqrt(95)))/sqrt(5). 1 + 10*sqrt(19) Simplify (5 + (sqrt(52)*2 - sqrt(156)/(sqrt(12)*1)))**2. 30*sqrt(13) + 142 Simplify (-5*sqrt(459))/(sqrt(75) + 1*sqrt(75) + sqrt(75)). -sqrt(17) Simplify sqrt(152)/((sqrt(128)/sqrt(4))/sqrt(4)) + 5. sqrt(19) + 5 Simplify (sqrt(72) - (sqrt(72)*2)**2 - sqrt(2)) + (-3*sqrt(4))/sqrt(2). -288 + 2*sqrt(2) Simplify (2 + (sqrt(133) + (sqrt(133) - sqrt(133)*1) + sqrt(133))/sqrt(7))**2. 8*sqrt(19) + 80 Simplify sqrt(38)/(sqrt(22)/sqrt(1331)). 11*sqrt(19) Simplify (sqrt(108)/sqrt(4) + 0 - (sqrt(54)/sqrt(2) - (sqrt(3) - (sqrt(3) + 0)*-4)))**2. 75 Simplify (1*sqrt(6292))/(sqrt(16)/sqrt(4)*5). 11*sqrt(13)/5 Simplify (5*5*sqrt(176))**2. 110000 Simplify (sqrt(108)/(sqrt(18)/sqrt(3)) + sqrt(18))/(-1*sqrt(9)*-1). 2*sqrt(2) Simplify -1 + (5*sqrt(40)/sqrt(2))/sqrt(10). -1 + 5*sqrt(2) Simplify sqrt(76)/(sqrt(4)*1*-3). -sqrt(19)/3 Simplify (sqrt(104) - 3*sqrt(104)*2)/(sqrt(40)/(sqrt(15)/sqrt(3))). -5*sqrt(13) Simplify 1*sqrt(80)*3. 12*sqrt(5) Simplify -3*sqrt(68) + -3. -6*sqrt(17) - 3 Simplify (sqrt(21)/sqrt(7))**2 + 2 - ((sqrt(3)*1 - sqrt(3)) + 4). 1 Simplify sqrt(68)/(4*sqrt(16)). sqrt(17)/8 Simplify (-2*(5 + sqrt(32)*3 + sqrt(32)))**2. 640*sqrt(2) + 2148 Simplify (sqrt(2736)*2 + 0 - sqrt(2736) - (sqrt(2736) + -2)*-5)**2. -1440*sqrt(19) + 98596 Simplify ((sqrt(102)*-2*-4)/(sqrt(72)/(sqrt(12) + sqrt(24)/sqrt(2))))**2. 4352 Simplify (4 + sqrt(931)*-2 + 1)**2. -140*sqrt(19) + 3749 Simplify 5*((1*sqrt(108) - sqrt(108))*2 + (sqrt(108) - -5*(sqrt(108) + 1)**2)). 330*sqrt(3) + 2725 Simplify -5 + sqrt(242) + (3 + (sqrt(242) - (sqrt(242) - (1 + sqrt(242)))))**2. 99*sqrt(2) + 253 Simplify (sqrt(475) + sqrt(475) + -1 + -5)**2. -120*sqrt(19) + 1936 Simplify (1*-2*sqrt(17) + 0)**2. 68 Simplify (sqrt(156)/((sqrt(48) + sqrt(12))*3))**2 + -5 + sqrt(39)/sqrt(3) + 1. -311/81 + sqrt(13) Simplify (6*sqrt(120)/sqrt(3))/(sqrt(24)/(sqrt(3)*2) + sqrt(8)). 4*sqrt(5) Simplify 2 + 1*sqrt(171) + -2. 3*sqrt(19) Simplify -5*(sqrt(475) + 1 - sqrt(475)) - sqrt(475). -5*sqrt(19) - 5 Simplify -2*sqrt(192). -16*sqrt(3) Simplify sqrt(55)/(-2*sqrt(5)) + -1*sqrt(1100) + -5. -21*sqrt(11)/2 - 5 Simplify sqrt(12)*-6*2 - sqrt(24)/((sqrt(72) - (sqrt(72) + (sqrt(72) - sqrt(72)*1))) + sqrt(72)). -73*sqrt(3)/3 Simplify (sqrt(11)*-1*-1)**2 + -4 + (sqrt(11) + 2*sqrt(11) + sqrt(11))**2. 183 Simplify ((sqrt(275) - ((sqrt(275) - (sqrt(275) + 0)) + 5)) + -2*sqrt(275) + 0)**2. 50*sqrt(11) + 300 Simplify ((sqrt(54)*2)/(sqrt(27) - (sqrt(27) - 2*sqrt(27))))**2. 2 Simplify -2*sqrt(405) - (sqrt(320))**2. -320 - 18*sqrt(5) Simplify (sqrt(190) - ((sqrt(190) + -2*sqrt(190) - sqrt(190))*-1 - sqrt(190)))/((sqrt(40) - sqrt(10))*-4). 0 Simplify (sqrt(98) - sqrt(98)*1)**2*4 - (-6*sqrt(98)*3 - sqrt(98))**2. -35378 Simplify sqrt(9)/(-5*(sqrt(3) - (-1*sqrt(3) + sqrt(3)))). -sqrt(3)/5 Simplify (sqrt(160)*1)/(sqrt(5) + 6*-2*sqrt(5)). -4*sqrt(2)/11 Simplify -4*sqrt(35)/(sqrt(7) + sqrt(14)/sqrt(2)). -2*sqrt(5) Simplify sqrt(50)/((sqrt(300)/sqrt(5) + sqrt(60))/sqrt(6)). sqrt(5)/2 Simplify ((-1*sqrt(208) - sqrt(208)) + -4)**2 + 2. 64*sqrt(13) + 850 Simplify (sqrt(684) - (-1*sqrt(684))**2)*-4 + -3. -24*sqrt(19) + 2733 Simplify 1 + ((sqrt(891)*1)**2 - sqrt(11) - (sqrt(11) - sqrt(99)*-3)). -11*sqrt(11) + 892 Simplify (sqrt(57) - ((sqrt(171) + sqrt(171) + sqrt(171)*3)/sqrt(3) - sqrt(57)))/(sqrt(15)/(-1*sqrt(5))). 3*sqrt(19) Simplify (sqrt(99) + (sqrt(99) - (1*sqrt(99) + sqrt(99))*5))/((2*sqrt(72))/sqrt(8)). -4*sqrt(11) Simplify 3*sqrt(19)*2 + 0. 6*sqrt(19) Simplify ((sqrt(70) - (sqrt(70) + sqrt(70) + -2*sqrt(70)))*5 - sqrt(70))/((sqrt(30)*1)/sqrt(3)). 4*sqrt(7) Simplify -3*(2 + -5 + (sqrt(2) - sqrt(2)*1 - sqrt(2))). 3*sqrt(2) + 9 Simplify (sqrt(72)/sqrt(200))/(sqrt(3) - (sqrt(75)*6 - sqrt(3))). -sqrt(3)/140 Simplify (sqrt(176) + sqrt(176)*-2 - sqrt(176)) + 5. -8*sqrt(11) + 5 Simplify (-2 + sqrt(9072))**2. -144*sqrt(7) + 9076 Simplify (sqrt(192)*-2)/sqrt(4). -8*sqrt(3) Simplify (sqrt(44) + sqrt(44) + -1*sqrt(3564))/(sqrt(40)/(sqrt(40)/sqrt(4))). -7*sqrt(11) Simplify -1*(-2 + sqrt(612))**2 + -1. -617 + 24*sqrt(17) Simplify -4*(sqrt(13) + 1*(1 + sqrt(13))). -8*sqrt(13) - 4 Simplify sqrt(84)/(sqrt(12)*1) + sqrt(7) + -5 + 2 + sqrt(7). -3 + 3*sqrt(7) Simplify (sqrt(380)/(sqrt(10)*-2))/((sqrt(14)*2)/sqrt(7)). -sqrt(19)/4 Simplify 3*(sqrt(162) - (sqrt(162) - (((-2*sqrt(162) - sqrt(162))*-2 - sqrt(162)) + sqrt(162))))**2*5. 87480 Simplify -2 + ((sqrt(572) + sqrt(572)*-2 - sqrt(572))/sqrt(11))/sqrt(4)*4. -8*sqrt(13) - 2 Simplify (sqrt(91) - 2*(-2*sqrt(91) - sqrt(91) - sqrt(91)))/sqrt(7). 9*sqrt(13) Simplify (-1 + sqrt(208) + -3)**2. -32*sqrt(13) + 224 Simplify (sqrt(64)/(sqrt(4)/sqrt(2)))**2. 32 Simplify -4 + (sqrt(300) - (-3*sqrt(300) - sqrt(300))) + ((sqrt(300) + -2 + sqrt(300))*3)**2. -670*sqrt(3) + 10832 Simplify (0 + sqrt(800))*-1. -20*sqrt(2) Simplify (-3 + 0 + sqrt(153) + sqrt(153) - (-1*sqrt(17) + 2 - (sqrt(2057) + -1)))**2. -216*sqrt(17) + 5544 Simplify sqrt(24)/(sqrt(12)*2) + -1 + sqrt(8)/sqrt(4). -1 + 3*sqrt(2)/2 Simplify (sqrt(85) + (sqrt(85) - ((sqrt(85) - 3*sqrt(85)) + sqrt(85))*-2) + sqrt(85))/(sqrt(20)*4). sqrt(17)/8 Simplify -2*sqrt(5)*4 - (1 + (sqrt(5)*-2)**2). -21 - 8*sqrt(5) Simplify ((sqrt(65) - sqrt(65)*-3)*-1)/(sqrt(320)*2 + sqrt(320)). -sqrt(13)/6 Simplify sqrt(432) + sq
{ "pile_set_name": "DM Mathematics" }
eplacement from kiikkkik. Give prob of picking 2 i and 1 k. 15/56 Two letters picked without replacement from wbwqqqwbww. What is prob of picking 1 q and 1 b? 2/15 Four letters picked without replacement from {x: 6, o: 6}. What is prob of picking 1 o and 3 x? 8/33 Four letters picked without replacement from {w: 5, e: 9}. Give prob of picking 4 w. 5/1001 Four letters picked without replacement from {t: 1, i: 4, p: 4, j: 1}. Give prob of picking 1 t and 3 i. 2/105 Three letters picked without replacement from {y: 5, j: 5}. Give prob of picking 3 y. 1/12 Calculate prob of picking 1 h and 1 w when two letters picked without replacement from whwtwtw. 4/21 Two letters picked without replacement from zzaazaazzazzzz. What is prob of picking 1 z and 1 a? 45/91 Two letters picked without replacement from xgggggggxgggggggggxx. What is prob of picking 1 x and 1 g? 32/95 Three letters picked without replacement from gleugmeellue. Give prob of picking 1 m, 1 u, and 1 g. 1/55 Four letters picked without replacement from dydyd. Give prob of picking 2 d and 2 y. 3/5 Three letters picked without replacement from {v: 5, b: 7, c: 1, d: 2, j: 1, h: 1}. What is prob of picking 1 j, 1 h, and 1 b? 7/680 Two letters picked without replacement from ddkkfh. What is prob of picking 1 k and 1 d? 4/15 What is prob of picking 1 p, 1 q, 1 o, and 1 j when four letters picked without replacement from ooojqppovpvopqo? 16/455 Calculate prob of picking 1 a, 1 t, and 1 w when three letters picked without replacement from {k: 1, w: 1, t: 6, a: 1}. 1/14 Two letters picked without replacement from vvvvvovvvvvvvovvvvvv. What is prob of picking 2 o? 1/190 Three letters picked without replacement from {l: 2, x: 8, m: 2}. What is prob of picking 2 x and 1 m? 14/55 What is prob of picking 2 f when two letters picked without replacement from fyyyyffz? 3/28 Calculate prob of picking 1 f and 1 g when two letters picked without replacement from {e: 1, x: 2, g: 2, f: 2, m: 1}. 1/7 What is prob of picking 2 o and 2 i when four letters picked without replacement from ioioio? 3/5 What is prob of picking 2 n when two letters picked without replacement from {n: 4, i: 6}? 2/15 Calculate prob of picking 1 m and 1 s when two letters picked without replacement from {q: 2, s: 1, m: 1}. 1/6 Three letters picked without replacement from daadaad. What is prob of picking 3 d? 1/35 Calculate prob of picking 1 i and 1 a when two letters picked without replacement from {l: 3, v: 2, i: 1, b: 3, y: 9, a: 2}. 1/95 Calculate prob of picking 1 w and 1 r when two letters picked without replacement from {n: 1, a: 2, w: 1, r: 4, g: 2}. 4/45 Two letters picked without replacement from ekkekkeekjeje. Give prob of picking 1 k and 1 j. 5/39 Four letters picked without replacement from qzzrrqzrdtqqzrqztt. Give prob of picking 1 t, 2 q, and 1 r. 2/51 What is prob of picking 3 l and 1 h when four letters picked without replacement from hhhllhlhlhlh? 14/99 Calculate prob of picking 2 w and 1 t when three letters picked without replacement from {w: 7, t: 12}. 84/323 What is prob of picking 3 h when three letters picked without replacement from hhhhhzhhhzhhhhhzhz? 91/204 Three letters picked without replacement from {e: 1, y: 2, r: 1, v: 3}. Give prob of picking 1 e and 2 y. 1/35 Two letters picked without replacement from gcvgagvgcvgggzvcc. Give prob of picking 1 g and 1 z. 7/136 What is prob of picking 1 f and 1 n when two letters picked without replacement from {n: 1, u: 2, a: 2, f: 7}? 7/66 Three letters picked without replacement from dhkhww. What is prob of picking 1 w, 1 h, and 1 d? 1/5 Three letters picked without replacement from qnhhhhhxn. Give prob of picking 2 n and 1 q. 1/84 Calculate prob of picking 1 l, 1 n, and 1 w when three letters picked without replacement from {q: 1, c: 1, w: 1, n: 2, e: 1, l: 2}. 1/14 Calculate prob of picking 2 r and 1 x when three letters picked without replacement from rxrxxrrxxxxxxxrx. 11/56 Calculate prob of picking 3 p when three letters picked without replacement from {l: 2, w: 2, p: 4}. 1/14 Three letters picked without replacement from {o: 1, u: 1, n: 2, l: 1}. What is prob of picking 1 o and 2 n? 1/10 Calculate prob of picking 1 n and 1 a when two letters picked without replacement from rrrtnnlhnnttatl. 4/105 Calculate prob of picking 2 y when two letters picked without replacement from aaayaxxayzxaxaox. 1/120 Two letters picked without replacement from {b: 1, q: 2}. What is prob of picking 1 b and 1 q? 2/3 Two letters picked without replacement from zvyvgvfvvvfvvvvfgf. Give prob of picking 1 z and 1 f. 4/153 Four letters picked without replacement from {o: 6, j: 2, l: 2, r: 2, n: 3}. Give prob of picking 1 r, 1 o, and 2 n. 12/455 Calculate prob of picking 1 x and 1 j when two letters picked without replacement from {j: 2, x: 8}. 16/45 Two letters picked without replacement from {n: 6, a: 13}. Give prob of picking 2 n. 5/57 Two letters picked without replacement from {e: 2, w: 2}. What is prob of picking 2 e? 1/6 Calculate prob of picking 1 b, 1 s, 1 h, and 1 e when four letters picked without replacement from {z: 6, h: 3, s: 1, e: 3, b: 4, g: 2}. 3/323 Four letters picked without replacement from ccccfcccfccfcccc. What is prob of picking 1 f and 3 c? 33/70 Calculate prob of picking 1 j and 3 s when four letters picked without replacement from sjjssmmjss. 1/7 What is prob of picking 2 o when two letters picked without replacement from {z: 18, o: 2}? 1/190 Calculate prob of picking 1 s and 1 t when two letters picked without replacement from ttbtllllsttllbtllbl. 2/57 Two letters picked without replacement from {w: 4, u: 4, b: 2, t: 2, j: 1, c: 2}. Give prob of picking 1 j and 1 c. 2/105 What is prob of picking 1 v, 1 c, and 1 j when three letters picked without replacement from vrvcmmvrmlllrjv? 4/455 Calculate prob of picking 1 j and 1 m when two letters picked without replacement from {h: 1, j: 1, a: 1, o: 1, m: 1, n: 2}. 1/21 Two letters picked without replacement from {e: 3, b: 1, k: 4}. What is prob of picking 1 e and 1 b? 3/28 Two letters picked without replacement from xyxtxuyyyy. Give prob of picking 1 u and 1 t. 1/45 Calculate prob of picking 4 x when four letters picked without replacement from {s: 2, x: 6, q: 4, r: 1}. 3/143 Three letters picked without replacement from eeettegtgeeeetsttet. Give prob of picking 1 s, 1 e, and 1 g. 6/323 Calculate prob of picking 1 p, 1 v, and 2 z when four letters picked without replacement from ppzvvpvzppvvzvpvvppz. 128/1615 Calculate prob of picking 1 h and 1 e when two letters picked without replacement from hhhehhhhehhhhhhhhh. 32/153 Three letters picked without replacement from {b: 3, w: 2, m: 2, g: 1, r: 3, l: 7}. Give prob of picking 1 l, 1 b, and 1 m. 7/136 Three letters picked without replacement from {z: 4, d: 1, u: 1, c: 1, p: 1}. What is prob of picking 1 u, 1 z, and 1 p? 1/14 What is prob of picking 2 x and 1 q when three letters picked without replacement from {x: 3, q: 1}? 3/4 Three letters picked without replacement from lfefflflflffllle. What is prob of picking 2 e and 1 l? 1/80 Two letters picked without replacement from qqnn. What is prob of picking 2 n? 1/6 Calculate prob of picking 2 x when two letters picked without replacement from {l: 1, x: 4, a: 2}. 2/7 Two letters picked without replacement from zhzzzuzhuzl. What is prob of picking 2 u? 1/55 Three letters picked without replacement from {p: 7, f: 4, k: 1, y: 1, q: 2, b: 2}. What is prob of picking 2 b and 1 f? 1/170 Four letters picked without replacement from qfjuuuufj. Give prob of picking 2 j, 1 f, and 1 q. 1/63 Two letters picked without replacement from afkft. Give prob of picking 1 a and 1 t. 1/10 Calculate prob of picking 1 z, 1 p, and 1 i when three letters picked without replacement from {p: 2, z: 3, i: 5}. 1/4 Three letters picked without replacement from {i: 1, u: 1, o: 1, e: 2, y: 7, a: 5}. Give prob of picking 1 e, 1 y, and 1 u. 7/340 Two letters picked without replacement from njjjjjjjjjjjj. Give prob of picking 1 n and 1 j. 2/13 Four letters picked without replacement from {t: 1, q: 1, e: 4, j: 2, m: 2, i: 2}. What is prob of picking 2 q, 1 i, and 1 t? 0 Four letters picked without replacement from fffifppfpiiippff. Give prob of picking 3 f a
{ "pile_set_name": "DM Mathematics" }
l a composite number? False Let s = -3 - -21. Let h = -3 + s. Is h a composite number? True Let s(h) = -h**2 - 21*h - 19. Is s(-11) a composite number? True Let y = 8 - 5. Is (89/y)/(1/3) composite? False Let g = -56 + 129. Let q = -35 + g. Is q prime? False Let y(d) = -2*d - 6. Suppose 6*s = 3*s + 9. Let l be (s - (3 - -10))/1. Is y(l) a prime number? False Suppose -2*r + 23 = -25. Let m be 1/5 + r/5. Suppose -3*w + 0*w - 3*v = -123, 0 = 4*w - m*v - 128. Is w composite? False Let r(o) = 4*o**2 - 2*o. Let z be r(-2). Let w be (z*-1)/(2/3). Let d = 7 - w. Is d a composite number? False Suppose 3*x + x - 3508 = 0. Is x a prime number? True Suppose t = -2*m + 2, -m - 4 = -t + 4*t. Is 9*(-16)/(-6) + t a prime number? False Suppose -5*u + 67 = -4*u. Is u a composite number? False Suppose 5*b - 10 = -0. Suppose h + 840 = 4*p + 2*h, b*h = 3*p - 641. Is p composite? False Let b(t) = 144*t**3 + 2*t**2 - 3*t + 2. Is b(1) a prime number? False Let u(a) = 333*a - 8. Is u(5) a composite number? False Is (1117 + 2)*(-7)/(-21) a prime number? True Let u(c) = 47*c - 14*c + 17 - 22*c - 16*c. Is u(-8) prime? False Suppose -s = -5 - 0. Suppose s = 4*n - 3. Suppose n*t = -4*y + 44, 3*y + 3*t - 33 = -0*y. Is y composite? False Let y = 317 + -220. Is y a prime number? True Let y(j) = 4*j**2 - 4*j + 5. Is y(5) prime? False Let q(l) = -l**3 + l**2 + l. Let t(n) = 6*n**3 - 9*n**2 - 2*n. Let k(s) = -5*q(s) - t(s). Let o be k(3). Suppose o*a + 3*a = 111. Is a a composite number? False Let m(n) = n**2 + 24. Let v be m(0). Let z(f) = 3*f - 2. Let r be z(2). Suppose 4*t = r + v. Is t prime? True Let d be (2 - 1 - -2) + -3. Let r(p) = -p**2 + p + 1468. Let z be r(d). Is (-3)/4 + z/16 composite? True Let d(k) = 97*k + 7. Let n be d(5). Let j = -313 + n. Is j a prime number? True Let m(q) = -q + 1. Let a(h) = 39*h - 6. Let s(j) = a(j) + 5*m(j). Suppose -u + 2 = u. Is s(u) a prime number? False Let w(p) = 3*p**3 - 36*p**2 + 26*p + 22. Is w(15) a prime number? True Suppose 1418 = 3*t - u, t - 5*u + 1442 = 4*t. Suppose 10*r - 8*r - t = 0. Is r a prime number? False Let f(w) = 2 - w**3 + w**3 + w**3 - 2*w**2 - 2*w. Let d be 20/4 - 2 - -2. Is f(d) prime? True Let n = 216 + -93. Is n a prime number? False Let h = -33 - -28. Is (140/(-16))/h*52 composite? True Let k(a) = -a**3 + 10*a**2 - 6*a + 5. Is k(4) a prime number? False Let x(n) = n**2 - n + 7. Is x(0) prime? True Suppose -f + 85 + 8 = 0. Is f a composite number? True Let h = 446 + -109. Is h a composite number? False Suppose 31*u = 28*u + 84. Suppose -3*o = -u - 1541. Is o composite? False Suppose 7*g + 83 = r + 3*g, 0 = -4*r - 2*g + 260. Is r a prime number? True Suppose 4*l + 9 = 7*l. Is (4 - l)*22/2 a prime number? True Let k = 2280 + -1541. Is k a composite number? False Let i(y) = 1 + 2 - 6*y + 4*y + 3*y. Let o be i(3). Suppose h - 33 - o = 0. Is h composite? True Let t be -5*(2 + 3/(-1)). Suppose -1 = b, -t*q + 3*q - b + 91 = 0. Is q a composite number? True Let n(b) = 0*b - 4*b + b + 3*b**3 - b - 2 - 4*b**2. Is n(5) a composite number? True Is (-5932)/(-5) + 6/10 composite? False Let v(o) = o - 3. Let r be v(3). Suppose u + r*u - 89 = 0. Is u prime? True Let n(f) be the first derivative of -f**4/4 + 8*f**3/3 + 3*f**2/2 + 7*f + 1. Is n(6) prime? True Let a = 306 + 17. Is a a composite number? True Let q(s) = 6*s**3 + 2*s**2 - 2*s + 4. Let z(m) = m**3 + 6*m**2 - 2*m - 9. Let c be z(-6). Let k be q(c). Suppose 2*i - k - 16 = 0. Is i a composite number? False Suppose -5*p + 18 + 2 = 0. Let l(h) = -6*h**3 + 5*h**2 - 8*h - 7. Let z(r) = -r**3 - r - 1. Let j(n) = -l(n) + 4*z(n). Is j(p) a composite number? False Suppose -t + 4*c = 3*c + 80, -2*t = -c + 157. Let o = -42 - t. Is o prime? False Let a = -1074 - -2082. Is a/15 - 1/5 a composite number? False Is (-1)/(-4) + ((-166705)/20)/(-11) a prime number? False Let g(w) = 45*w - 1. Is g(4) a composite number? False Let p(n) = n**3 - 7*n**2 + 8*n - 9. Let l be p(6). Suppose -34 - 29 = -l*x. Is x a prime number? False Is (-6)/(-2) + 20 - 4 a prime number? True Let w be (6/(-5))/((-14)/35). Suppose -429 = -w*s - 162. Is s a composite number? False Is (-3 + 4)/(1/287) composite? True Suppose -2*h + 2*t + 244 = 0, h + 2*t - 152 = -3*t. Is h composite? False Suppose 0*z - 8 = 2*z. Let h(f) = -12*f**3 + 4*f - 3. Is h(z) prime? False Suppose -2 - 5 = -o. Is (o/14)/((-2)/(-76)) composite? False Suppose 3*b + 3*l = b - 1, 0 = -3*b - l - 5. Let c(z) = -7*z. Is c(b) a prime number? False Suppose -2*d + 5*i - 25 = -0*d, -4*d + 3*i - 15 = 0. Suppose 0*v - 99 = -5*k - 4*v, d = 3*k + 3*v - 57. Is k composite? False Let i = -14 + 8. Let d(p) = 3*p**2 + 8*p - 2. Is d(i) a composite number? True Let j = -10 - -14. Suppose 5*t = -l - 3*l - 10, 4*l + 28 = 4*t. Is 172/8 + t/j a composite number? True Let r(p) = -3*p**3 + 3*p**2 - p + 2. Is r(-3) a prime number? True Let n(d) = -d + 7. Let l be n(-5). Is l + 41 + 0/1 prime? True Suppose 3*g = -2*k - 2, 5*k + 16 = k. Suppose 5*o - 35 = g*i - 0*i, 15 = 4*o + i. Suppose o*z - 45 - 70 = 0. Is z composite? False Suppose -4*l - 10 - 22 = 0. Let i = l + 24. Let k = 21 + i. Is k a prime number? True Let k(s) = s - 7. Let g = -1 - -10. Let a be k(g). Suppose a*d = 55 + 23. Is d prime? False Is 4*(-5)/30 - 25738/(-6) a prime number? True Let t(n) = n + 4. Let k(j) = j + 3. Let r be k(-5). Let f be t(r). Is f - 154/(-3 + 1) a prime number? True Suppose 3*u + 10 = 25. Suppose -u*a + 0*a = -10. Suppose -87 = -a*v + 19. Is v a prime number? True Suppose 0 = -2*a + 11 - 7. Suppose 0*k = -3*k + r + 155, 0 = -a*k + r + 102. Is k a composite number? False Let d(n) = 0*n**2 - n**2 + 1 + 1. Let q be d(0). Suppose 0 = -q*u + 10, -2*h + 24 = -3*u - 3. Is h a composite number? True Let d = 714 - 380. Is d a composite number? True Let b = -6 - -8. Suppose -2*v = -m + 11, 3*m + b*v - 30 = 7*v. Suppose 3*a = m + 28. Is a a composite number? False Let u(t) = t + 4. Let s(o) = -o**2 - 4*o - 4. Let z be s(-4). Let w be u(z). Let b(h) = -h**2 - h + 11. Is b(w) a prime number? True Let l(x) = x**3 - 2*x**2 - 3*x. Let g be l(3). Suppose 0 = -5*j - g*j + 180. Is j/(-10)*10/(-4) composite? True Suppose 5*t - 8103 = -2*v, 0 = -3*t + 4*t + 3*v - 1631. Is t composite? False Let b(g) = g + 3. Let c be b(3). Let o(d) = 2*d**2 + 6*d + 7. Is o(c) composite? True Let f(h) = 106*h**2 - 9*h + 9. Is f(-7) a prime number? False Let z(s) = -s**2 - 35*s - 19. Is z(-18) composite? True Suppose 4*z - 5*l - 1532 = 0, 0 = 4*z + 3*l - 1698 + 198. Suppose 4*h - 9*h + 2*n = -z, 0 = n + 4. Is h composite? True Suppose -2*c = -c - 557. Is c a prime number? True Is (0 + 1)/((-12)/(-34908)) composite? False Suppose -202 + 71 = y - 3*z, 4*z = 3*y + 388. Let u = y + 185. Is u a prime number? False Suppose -308 = -2*m - 2*b, m = -4*m - b + 782. Is m a prime number? True Let a(c) = -c**2. Let x be a(0). Suppose 0 = -u - x*u + 6. Let j = u + -3. Is j a composite number? False Let f = -2082 + 3205. Is f a composite number? False Let x be -2 + 0 - 26/(-1). Suppose -x = -0*s - 2*s. Let y = s - 6. Is y a composite number? True Let d = 1003 + -602. Is d a prime number? True Suppose 3*o = 9, 5*a = 3*o + 2*o. Let p = 26 - a. Is p a composite number? False Suppose l - 5*x + 3*x - 148 = 0, -x - 3 = 0. Let a = l - -159. Is a a prime number? False Is (-1146)/(-8)*-2*44/(-66) a prime number? True Suppose -4*l = 3*k - 5*k + 330, -k + 5*l = -171. Is k a prime number? False Let d(y) = -y + 10. Let x be d(5). Suppose 5*u + 32 = z, x*z - 3*u - 173 - 9 = 0. Is z a composite number? False Suppose 5*j + t - 737 = 443, -4*t = 5*j - 1165. Is j prime? False Suppose 0*a - 3*y - 58 = -2*a, y = a - 28. Is a a composite number? True Let h be ((-2)/(-4))/((-3)/30). Let b(z) = -2*z**3 - 4*z**2 - 6*z - 1. Is b(h) a prime number? True Let j = 1136 - 151. Is j prime? False Let m be -533 + (2 - 2) + 4. Is 7/35 - m/5 prime? False Let p(q) = q**2 + 11*q - 8. Let v be p(-12). Suppose -v*z - 105 = -9*z. Is z a composite number? True Let s(o) = -o**3 - 7*o**2 - 6*o. Let k be s(-6). Suppose -2*y - 4*m + 160 = k, -y = -2*y - 3*m + 83. Is y prime? False Suppose 6*c - 699 = -51. Let i = c - -339. Is i composite? True Let v(w) = -27*w + 8. Let b(u) = u + 1. Let d = -2 + -3. Let s(q) = d*b(q) - v(q). Is s(9) a prime number? False Let s(p) = -4*p**3
{ "pile_set_name": "DM Mathematics" }
ly 3.88 and 0.39. 1.5132 Work out 101.056 * 2.4. 242.5344 Product of 24196 and -0.16. -3871.36 -0.4 times 0.324 -0.1296 What is the product of 884 and 0? 0 -0.5*25.27 -12.635 Calculate -8.69617*0.06. -0.5217702 What is -7.307 times 0.074? -0.540718 What is 4 times -0.27563? -1.10252 What is -104 times 58? -6032 Product of -9 and -2480. 22320 Calculate -84*14540. -1221360 Work out -7 * 108.61. -760.27 -24069 * 0.027 -649.863 Multiply -27252 and 10. -272520 What is the product of -29 and 3371? -97759 -0.91*-1.18 1.0738 4749 * -0.17 -807.33 18954 times 0.4 7581.6 Multiply 614 and 54. 33156 -8565*-0.5 4282.5 -0.075563 * -0.3 0.0226689 What is the product of 22 and -8503? -187066 Multiply 19 and -30776. -584744 Multiply -84912 and -13. 1103856 5*-0.00856 -0.0428 Calculate -0.25*1042. -260.5 What is -1.5 times 1453? -2179.5 31732 * 0 0 30 times 18.194 545.82 Multiply -162.13 and 14. -2269.82 What is 0.4 times -0.2022? -0.08088 23.7101 * -0.5 -11.85505 Product of 48 and -0.057. -2.736 285.7 * -9 -2571.3 -4181711 * -0.5 2090855.5 0.3 times 27983 8394.9 Product of 2946905 and 5. 14734525 What is -2.81 times 0.647? -1.81807 What is -4066 times -3.8? 15450.8 Calculate 4*-0.40031. -1.60124 -2 times 150229 -300458 What is the product of 7 and -0.0110621? -0.0774347 What is 0.6221 times -0.1? -0.06221 Product of -305 and -19. 5795 Calculate 23.48*0. 0 Product of 1 and -0.245104. -0.245104 Work out 7 * 11.367. 79.569 5*-83.48 -417.4 94700*1.1 104170 1.54 * 187 287.98 What is -1251 times -166? 207666 -476.22*-7 3333.54 What is 0 times 17967? 0 Multiply 1.16 and -0.9375. -1.0875 36165 times -14.5 -524392.5 Calculate -9.4*89.89. -844.966 128.497 times 0.5 64.2485 What is the product of -0.046 and -1859? 85.514 What is the product of 233351 and -0.2? -46670.2 0.82322 * 3 2.46966 Product of -10.37 and -4. 41.48 Work out -5 * 116.6. -583 Calculate 2.24*-7877. -17644.48 Calculate -290.7*1657. -481689.9 What is 3924.23 times 0? 0 What is -2939.95 times -0.04? 117.598 What is 0.1 times 12484? 1248.4 Calculate -3300*15. -49500 Multiply 0 and -283709. 0 Calculate -0.016*7683. -122.928 Multiply 3 and 0.020846. 0.062538 -3.834 times 2 -7.668 -5 times 27850 -139250 752 times 42 31584 0.63018*-0.4 -0.252072 173611*0.5 86805.5 Multiply 0.4218599 and -0.4. -0.16874396 23*-7119 -163737 Calculate 0.3*-17121. -5136.3 Work out 0.3 * -6539. -1961.7 Product of 0.11809 and -40. -4.7236 Calculate 0.004492*-0.2. -0.0008984 Work out -4.93681 * 0.5. -2.468405 -3436.8 * -0.199 683.9232 -4*3352 -13408 Work out -47902 * -0.03. 1437.06 Work out -0.3311 * 2.36. -0.781396 What is -4.4 times -163180? 717992 Calculate 627.92*-0.3. -188.376 Product of -13536 and 45. -609120 5 * -3533 -17665 Product of -30 and 1.722. -51.66 2.95 * -255 -752.25 Product of 0.5 and 27458. 13729 Work out 0.662563 * 0.2. 0.1325126 8.1 * 5.5 44.55 Calculate -0.2*3432.7. -686.54 Calculate 51890*0.4. 20756 Product of 0.2 and 0.0165933. 0.00331866 -8 times 1227 -9816 1055.7 times -20 -21114 5839 times -3.2 -18684.8 Product of -63357 and 0.4. -25342.8 Work out -0.01 * 39831. -398.31 -20.7132 times 5 -103.566 -321 times -688 220848 Work out 44.38 * -3.2. -142.016 -0.1536 * -6.7 1.02912 Work out -0.01506 * 0.2. -0.003012 Multiply 3 and 0.152385. 0.457155 -767 * 387 -296829 What is -4 times -232732? 930928 What is -669 times 3141? -2101329 Work out 836 * -1194. -998184 What is the product of -0.381381 and -0.3? 0.1144143 What is -61 times 111.3? -6789.3 Work out 5329 * 9.7. 51691.3 21.749 * 13 282.737 2.8 times 0.02303 0.064484 -1 times 83971 -83971 What is the product of -0.106 and 22338? -2367.828 What is -6971 times -13? 90623 -1*75004 -75004 What is 58 times 5303? 307574 6 * -336.3 -2017.8 Work out -326016 * -0.2. 65203.2 1542*1176 1813392 -0.03 times 414.4 -12.432 What is 1 times -173.5? -173.5 -0.3 * -1838.31 551.493 Product of 250750 and -0.2. -50150 Work out -0.0756 * 45. -3.402 What is the product of -134529 and 0.43? -57847.47 Work out -3635 * 178. -647030 What is the product of -59.7156 and -0.4? 23.88624 What is the product of -0.02 and 0.73731? -0.0147462 Multiply -6151 and 83. -510533 0.0241*-0.26 -0.006266 -13009*229 -2979061 Product of 0.4 and -1759926. -703970.4 -0.9 * 63139 -56825.1 Work out 214.8 * 29. 6229.2 Multiply -0.3 and -49864. 14959.2 -0.02 times 414.7 -8.294 Multiply 2 and 6610. 13220 Work out -0.1 * -26.971. 2.6971 Product of 0.2 and -3.0826. -0.61652 What is the product of -1129.4 and -0.4? 451.76 Work out -0.034 * 13585. -461.89 0.2*-2.901 -0.5802 What is -0.04 times 33.4297? -1.337188 Product of -0.070001 and -0.2. 0.0140002 Product of -911 and 0.48. -437.28 Product of 0.1317 and 65. 8.5605 Work out 0.2 * 434322. 86864.4 0.5 * -10882 -5441 What is the product of -17 and -14.5? 246.5 What is the product of -0.01255 and 1.2? -0.01506 -0.1 times -379722 37972.2 Multiply -17 and -2834. 48178 Calculate -6*-10422. 62532 -1*298080 -298080 Product of -0.3 and -6008.3. 1802.49 Product of -1.023 and -519. 530.937 Work out 0.02 * 195790. 3915.8 What is -669.9 times 5? -3349.5 -2 times -0.09489 0.18978 -91.2023 * -0.2 18.24046 175.73*2 351.46 Product of 1.7 and -2.3716. -4.03172 2 times -35622.8 -71245.6 Product of 10 and -6. -60 Multiply -3591 and -608. 2183328 -1.2*-52 62.4 What is the product of 269712 and 0.1? 26971.2 83.9*-36 -3020.4 -0.996 * 2.09 -2.08164 -1.78 * -407 724.46 What is the product of 0.9128 and -310? -282.968 What is 38.789 times 1.8? 69.8202 Multiply 5039 and 0. 0 What is the product of 0.2 and 26.74? 5.348 Multiply 0.4 and 52209.3. 20883.72 Work out -532 * 398. -211736 Calculate 161*-2.1. -338.1 Product of 15 and -147980. -2219700 -2181318*-4 8725272 Calculate -68745*-22. 1512390 What is -186 times -6760? 1257360 What is -1667 times -250.4? 417416.8 Calculate 0.4*51681. 20672.4 -161.8 * -40 6472 -0.03604 times 0.038 -0.00136952 -4423.5 times 2 -8847 Multiply -10.635 and 31. -329.685 13530 times -0.263 -3558.39 What is the product of -0.3 and -8.8985? 2.66955 -3152555*4 -12610220 3*5774 17322 Product of 64866.3 and -0.5. -32433.15 3.2978*-1 -3.2978 Work out -2459 * -6. 14754 What is -3192 times 88? -280896 Calculate -0.045*1745. -78.525 What is the product of -34 and 19729? -670786 Work out 101 * -378. -38178 Calculate 0.3*-297.68. -89.304 Calculate 5*1491. 7455 What is the product of 0.09 and -65151? -5863.59 Work out -12298.4 * 0.1. -1229.84 -24.712 times -0.5 12.356 -446*-21 9366 Product of -537706 and 0.3. -161311.8 Calculate 2*-7285. -14570 What is -2.7738 times 8? -22.1904 64.71 times -0.5 -32.355 What is 0.081 times 73.82? 5.97942 Calculate -42.79*6. -256.74 Multiply -7.06 and 0.3017. -2.130002 Calculate -0.174*-181. 31.494 Multiply 0.023 and 21436. 493.028 What is the product of 44595.1 and 2? 89190.2 Calculate -0.023*-128. 2.944 Calculate 0.21344*0.23. 0.0490912 Multiply -33.071 and -0.1. 3.3071 Calculate -23810*0. 0 -19 times -4428 84132 What is the product of 0.409 and -19? -7.771 Calculate -245*341. -83545 Product of 3804.4 and 0.2. 760.88 -0.3 times 0.2541 -0.07623 -283045 * -1 283045 -1.1*368046 -404850.6 What is the product of 81 and 18857? 1527417 What is -264 times 3693? -974952 Multiply 659 and 0.0074. 4.8766 What is the product of 1238 and 36.5? 45187 Product of -52924 and -33. 1746492 Work out 13 * -13.65. -177.45 What is the product of 7632090 and 4? 30528360 -0.02938 times -0.018 0.00052884 What is -928 times -0.123? 114.144 1*-8.4008 -8.4008 Multiply -1 and -16974. 16974 0.1*250375 25037.5 Product of 2144327 and 2. 4288654 -0.253 times -0.14 0.03542 7894*0.4 3157.6 Multiply -798 and 0.068. -54.264 126127 * 0.4 50450.8 -0.61531*4 -2.46124 9268791 * -0.4 -3707516.4 Multiply -0.2 and 135905. -27181 Product of 0.2 and -13.19261. -2.638522 Product of 10.8 and 65. 702 What is the product of 0.2 and 12517? 2503.4 Work out 0.3 * -173441. -52032.3 0.1 times 0.65219 0.065219 Multiply 260 and 5. 1300 0.05*3.5293 0.176465 15426*-0.08 -1234.08 Product of 0.67 and -154.7. -103.649 Multiply 792 and 0.4802. 380.3184 -2 times 7474.44 -14948.88 282791 times -0.4 -113116.4 0.04*-0.882 -0.03528 -10.9 times -23561 256814.9 -212 times 275 -58300 -7446 times -0.8 5956.8 Multiply -1 and -0.075489. 0.075489 -17.9891 * 4 -71.9564 Calculate -40953*12. -491436 Product of 41289 and -1.
{ "pile_set_name": "DM Mathematics" }
ivided by -3836970? -5 Calculate -192362856 divided by -6. 32060476 Divide 11689909 by -11. -1062719 670115106 divided by -4136513 -162 1458503 divided by 3 1458503/3 What is 6 divided by -490592? -3/245296 Divide 5001311 by 14413. 347 -1836 divided by 1033 -1836/1033 423 divided by -39906 -47/4434 -3225394 divided by 2 -1612697 What is 38156707 divided by -173? -220559 -74966 divided by 521 -74966/521 What is 12579567 divided by -649? -19383 Divide -3955860 by -5. 791172 Calculate -267470 divided by -183. 267470/183 Calculate 462329 divided by -11. -462329/11 Divide -89047 by 74. -89047/74 Calculate -135053577 divided by -45017859. 3 What is 19315724 divided by 9657862? 2 Divide 104427775 by 1076575. 97 Calculate -28975979 divided by -3637. 7967 What is 3263853 divided by 3? 1087951 4481 divided by 92497 4481/92497 43389740 divided by 191990 226 Divide 58 by -401624. -29/200812 Divide -40836 by 668. -10209/167 Divide 13904981 by -1. -13904981 -3052000 divided by -50 61040 229333824 divided by 24 9555576 Calculate 31466 divided by -15. -31466/15 What is -760809404 divided by -1? 760809404 What is -204337812 divided by -4? 51084453 Calculate -307524 divided by -38. 153762/19 What is 128657 divided by -1863? -128657/1863 Divide -160513995 by 390545. -411 Calculate -13 divided by 1803298. -13/1803298 Divide -28946990 by -2894699. 10 Calculate -136050973 divided by -136050973. 1 Calculate -4073506487 divided by -4. 4073506487/4 76026 divided by -16 -38013/8 What is 193552664 divided by -1? -193552664 What is -4 divided by -129260337? 4/129260337 Calculate -3969928 divided by -3969928. 1 What is 75803 divided by -76? -75803/76 131985035 divided by -13 -10152695 Divide -1043 by -1290. 1043/1290 Divide -9879 by -439. 9879/439 Calculate -21747684 divided by -5818. 3738 What is 640932 divided by -20? -160233/5 Calculate -146770 divided by 3310. -14677/331 Calculate 1811790 divided by -44190. -41 Divide 3276087 by 1092029. 3 -871422 divided by -13 871422/13 Divide -5097152 by -32. 159286 Calculate -7851 divided by 47813. -7851/47813 Divide -66496000 by -25. 2659840 Divide -1 by -21718278. 1/21718278 -45 divided by 266035 -9/53207 What is -62380 divided by 1039? -62380/1039 What is 240091 divided by 15? 240091/15 Calculate 2241 divided by -3028. -2241/3028 What is 45888567 divided by -15296189? -3 What is 8730372 divided by -777? -11236 Divide -63868880 by 19. -3361520 -61616606 divided by 4 -30808303/2 Divide 1114106 by -13. -1114106/13 What is -3845858 divided by 7? -3845858/7 Divide 130629240 by -1244088. -105 Divide -443252 by -38. 221626/19 -7058708 divided by -1 7058708 What is 16229846 divided by -1? -16229846 What is 443977 divided by -3929? -113 What is -1288705457 divided by -19? 67826603 What is 2 divided by -8053459? -2/8053459 What is -38834316 divided by -239718? 162 What is -1 divided by 42274035? -1/42274035 74776020 divided by 19095 3916 -36386744 divided by -122 298252 3 divided by 274597622 3/274597622 -19519824 divided by 424344 -46 Divide 192 by 205671. 64/68557 Calculate -3192556032 divided by 6. -532092672 What is -19980105 divided by 5? -3996021 Divide 303007776 by -48. -6312662 What is -11510496 divided by -204? 56424 What is -510382700 divided by -28513? 17900 Divide -9453 by 9828. -3151/3276 Calculate -999419 divided by 1. -999419 -10930951 divided by -293 37307 What is -89728 divided by -18? 44864/9 Divide -2763 by -522. 307/58 -143360208 divided by 14544 -9857 324 divided by 121958 162/60979 Calculate 29015415 divided by 19305. 1503 7602 divided by -332 -3801/166 Divide -4 by 3022821. -4/3022821 Calculate -691100 divided by 69. -691100/69 Calculate -6 divided by 789342. -1/131557 Calculate -14 divided by 1481827. -14/1481827 159797175 divided by 5563 28725 -121758 divided by 19 -121758/19 What is -1318526 divided by -3? 1318526/3 What is 779839104 divided by -1474176? -529 19 divided by -8084467 -19/8084467 Calculate 53322624 divided by -16. -3332664 Divide 18201405 by 3640281. 5 What is 13760043 divided by -3? -4586681 -4089 divided by -112057 4089/112057 Calculate 12 divided by 404378. 6/202189 Calculate 8 divided by 226771. 8/226771 Divide -208 by -127364. 52/31841 350268 divided by 867 404 15851318 divided by -7 -2264474 Divide 7400376 by -2466792. -3 Calculate 23244520 divided by -2324452. -10 Divide 56324463 by 3. 18774821 What is -5994756 divided by -7086? 846 Calculate 164143 divided by 46. 164143/46 -3452182 divided by -2 1726091 What is -270362508 divided by -12? 22530209 Divide -77511360 by -5. 15502272 74310720 divided by -5952 -12485 3377635 divided by 7 3377635/7 -1569 divided by -20348 1569/20348 Divide -47 by -92078. 47/92078 Divide 363787 by -18. -363787/18 What is 2398144 divided by -2? -1199072 Divide -32 by 232990. -16/116495 Divide -505571357 by -5005657. 101 Calculate 52294066 divided by -2. -26147033 Calculate 3588338 divided by 22711. 158 361643204 divided by 13909354 26 12954762 divided by 2 6477381 Divide 2054150 by -7. -293450 Divide -11051154 by -54. 204651 Calculate 81293905 divided by 16258781. 5 Calculate -213 divided by -18550. 213/18550 51540559 divided by 387523 133 Calculate -18982 divided by 3. -18982/3 Divide -2178211 by 1. -2178211 8838 divided by -9630 -491/535 What is -3057260 divided by 2? -1528630 -1058355 divided by -15 70557 What is 145203 divided by 16? 145203/16 Calculate 19327680 divided by -270. -71584 Calculate -28172 divided by -424. 7043/106 Divide 4 by -8254274. -2/4127137 What is 92 divided by 534919? 92/534919 Divide -24050664 by 546606. -44 Divide -36320968 by 4. -9080242 What is -112164290 divided by -22432858? 5 -23 divided by -78021 23/78021 Calculate 99307892 divided by -27052. -3671 -82 divided by 137775 -82/137775 Calculate -1 divided by -22304110. 1/22304110 Calculate 12057264 divided by -144. -83731 What is -14041677 divided by 4680559? -3 787 divided by 3934 787/3934 Divide -1305586 by 4. -652793/2 Divide 92682005 by 1. 92682005 Divide 4767461 by 3. 4767461/3 -98784 divided by 391 -98784/391 Divide 13839537 by -601719. -23 Calculate -37 divided by 163423. -37/163423 Calculate -584 divided by 57203. -584/57203 Divide -2874 by 893. -2874/893 Divide -288 by 68560. -18/4285 -10 divided by -12695725 2/2539145 0 divided by 9082540 0 Divide 40460460 by 10. 4046046 What is 168653732 divided by 3? 168653732/3 Divide -15646 by 485. -15646/485 -12 divided by -1284400 3/321100 What is 420063 divided by 17? 420063/17 What is -1914 divided by -4973? 1914/4973 What is 104480 divided by 13? 104480/13 -8299 divided by 1748 -8299/1748 -33 divided by 151222 -33/151222 Divide -7809324 by 1952331. -4 Divide 39 by 8924506. 39/8924506 What is -21457350 divided by 17445? -1230 13403789 divided by 2177 6157 Divide 38822706 by 377. 102978 Divide -2376932 by 276. -594233/69 20622431 divided by -12 -20622431/12 Calculate -91285 divided by -119. 91285/119 What is 8306 divided by -29232? -4153/14616 -10282387 divided by 1 -10282387 Divide 2 by 17884451. 2/17884451 What is -268549300 divided by -1052? 255275 Divide -23083280 by 288541. -80 462 divided by -34934 -231/17467 278475237 divided by 5451 51087 What is -14866780 divided by 5? -2973356 Divide 9 by 2929639. 9/2929639 Calculate 2739 divided by 5252. 2739/5252 What is 18721030 divided by -13705? -1366 -205984749 divided by -3 68661583 Divide 258861398 by 21682. 11939 What is 79224126 divided by 146? 542631 Calculate -9029240 divided by 2. -4514620 Divide -10806561 by -1200729. 9 Divide -173818 by 747. -173818/747 Calculate 1199 divided by -91190. -109/8290 What is -3735799 divided by 3735799? -1 Divide -5905655 by 1181131. -5 What is -2504614 divided by -12586? 199 What is 848533698 divided by -47140761? -18 Divide -260880 by -69. 86960/23 What is 1 divided by 2723411? 1/2723411 What is 1609968 divided by 5919? 272 What is 220152895 divided by 9571865? 23 1588474 divided by 3 1588474/3 What is -59706 divided by 958? -29853/479 Calculate -34152207 divided by 3. -11384069 Calculate -3490248 divided by -34. 1745124/17 45 divided by 4567297 45/4567297 Divide 31925950 by 20335. 1570 Calculate 8592248 divided by -22. -4296124/11 Divide -79786 by 25. -79786/25 What is 274259232 divided by 1632? 168051 Calculate 9 divided by 207382. 9/207382
{ "pile_set_name": "DM Mathematics" }
-72. Solve 17 = x + 2*c + 4, x + a*c - 21 = 0 for x. 5 Let q(k) = k**3 - 9*k**2 - 2*k + 8. Let s be q(8). Let g = s + 86. Solve -2*y + 5*n = 2*y + g, 4*n - 8 = 0 for y. -1 Let m be 2/(4/22)*3. Let z = m + -13. Let w be -1*1*(-11 - -10). Solve z = -4*l, 3*i + 22 = -4*l - w for i. -1 Suppose -10 = -3*j - 4. Let c be (2 - 1)*(-3 + 4). Suppose -c = j*g - 47. Solve -4*m - f - g = 0, -2*f - 31 = 7*m - 2*m for m. -5 Suppose -2*n + 6 = -5*a - 0, 12 = 4*n. Let w(s) = -s**3 - s**2 - s - 1. Let l be w(-1). Solve -4 = -4*b - 2*y, l = b + y - a*y + 1 for b. 3 Let u(z) = 15*z - 8. Let d be u(3). Suppose -2*c + 13 = -d. Suppose g = -4*g + c. Solve -g*p - 1 = -10*p - 3*i, -i = 3*p - 3 for p. 2 Suppose 65*d = 45*d + 80. Solve 5*w + b + 1 = d*b, -5 = w + b for w. -2 Suppose -8*s + 92 = 36. Solve -w + 4*g - 13 = 2*w, -4*w - 5*g = s for w. -3 Let t(c) = -c + 10. Let b be t(11). Let y = b - -13. Let r be 8*(y/(-16) + 1). Solve 5*w + 6 = 3*j, -3*j = r*w + 21 - 6 for w. -3 Suppose -2*f + 5*h = -17, -4*f - 4*h = -5 - 71. Suppose 5*a - 27*a = -110. Suppose -3*u = -a*u + f. Solve -b + 6*b - 25 = -5*v, 0 = -4*b + 2*v + u for b. 3 Suppose -87*k = -80*k - 14. Solve 0 = 4*m + y - 5*y + 12, k*m = y - 5 for m. -2 Suppose -v + 5 = -0*v. Suppose -27 + 12 = -5*a. Suppose 4*l - 7 = u, -4*u + a*l + 14 - 3 = 0. Solve 0 = -4*t, 3*h - u*t - v = 4 for h. 3 Suppose 0 = 5*j + 4*h - 394, -2*h + 320 = 3*j + j. Let y = -79 + j. Suppose 55 = 5*q - 0*q. Solve 0 = d - 5*m + 2*m - 9, -q = -y*d + m for d. 3 Let v = -275 - -279. Solve 4*j = m - j + 8, 4*j = v*m + 16 for m. -3 Suppose -114*b + 118*b - 16 = -5*i, -i + 4 = b. Solve -5*k + i*k - 22 = -4*y, -4 = 2*y + 5*k for y. 3 Let b(r) = r**3 - 10*r**2 + 16*r + 2. Let c(t) = 2*t**3 - 4*t**2 + 4*t. Let s be c(2). Let n be b(s). Solve n*h - 3*d - 5 = -16, -h - 4*d + 22 = 0 for h. 2 Let t be ((-30)/(-20))/(1/2). Let h = 9 - 6. Solve 0 = l + 3*l - 5*u + 18, 0 = h*l + t*u for l. -2 Let o = 503 + -503. Solve 2*c + 4*g - 2 = 6, 2*g - 8 = o for c. -4 Let v(f) be the second derivative of -f**3/2 + 21*f**2/2 - 10*f. Let t be v(6). Solve -5*p - 2*j - t*j + 20 = 0, -5*p = 2*j - 23 for p. 5 Let v be (2 - 0)*2/1. Suppose -5*b + 2*n = 6*n + 6, -18 = -b + v*n. Solve -l = -b*j - 11, -5*l + 0*l = j for l. 1 Let n(k) = -k**3 + 2*k**2 + 2*k + 1. Let q be n(2). Suppose -3*b - 6 = w - 3*w, -5*b + 15 = q*w. Solve 4*r - 17 = v, -w = v - 2 for r. 4 Let u be (-2)/(-12)*0 - -5. Solve 0 = -f + 2*f + 3, 0 = u*v - 5*f - 35 for v. 4 Let x(u) = u**3 - 21*u**2 - 45*u - 19. Let l be x(23). Solve j + a = -j - 1, l*a = 4 for j. -1 Let w be -1 + (6/(-8))/((-36)/48). Solve -3*y - 3 = w, -5*y + 1 = 5*t + 21 for t. -3 Let l = -235 + 237. Solve 4*h = 5*r + 5, -l*r = -2*h + 2 + 2 for r. 3 Suppose -3*c - 4 = 2, 3*z - c + 22 = 0. Let m = 10 + z. Let d be (-33)/(-6) + m/(-4). Solve 2*k - 14 = d*a, k - 8 - 9 = 5*a for k. -3 Let d be 5 - 52/5*10/(-4). Solve 2*w + w - d = 4*a, 5*w = a + 29 for a. -4 Suppose -9*p + 18 + 0 = 0. Solve -4*y + 28 = -3*w, -5*y + p*w = 9 - 37 for y. 4 Let g be (-1)/(-2)*(17 - 357/21). Solve -2*y + 5*m - 14 = 0, 2*y + 8 = -g*m + 2*m for y. -2 Suppose -2*p - 274*o = -269*o - 28, 4*p + o - 38 = 0. Solve -3*v + 2*l - 3 = l, l = -3*v - p for v. -2 Suppose -4*a = -0*a + 16, 0 = -r - 3*a - 9. Solve -5*g = -4*n - r, 0*n + 4*n = -8 for g. -1 Let y(v) = v**3 - 6*v**2 + 7*v - 5. Let p be y(5). Let a(g) = -4*g + 3. Let r be a(-6). Let u = 28 - r. Solve -l - 2 = -p*o, -l + 2 + u = 0 for o. 1 Let j(i) = -2*i**2 - 2*i - 2. Let l be j(-3). Let g be (-1370)/60 - (14/(-12))/(-7). Let f = l - g. Solve 3*k + k + 5*v - f = 0, -3*k - 32 = -4*v for k. -4 Let p(l) = 2*l + 23. Let w be p(-10). Let d(r) = 2*r - 13. Let h be d(7). Solve -w*a + h = m + 8, 0 = 5*a - 5*m + 5 for a. -2 Suppose w + 4 = 2*r, -r - 4*w + 2 + 9 = 0. Solve r*k - 5*k - 4 = 0, -k + 2 = z for z. 4 Let u(g) = -g**2 - g - 2. Let i be u(-2). Let p(d) = d**3 + 9*d**2 - 21*d + 16. Let r be p(-11). Let w = i + r. Solve 7*y + 1 = v + 2*y, -w = y for v. -4 Let l(c) = 9*c + 583. Let k be l(-63). Solve 2*z - k = 3*a, 3*a - 6*a + z - 11 = 0 for a. -2 Suppose -3 = 3*q + 5*a, 2*q - 21 = -q + 3*a. Solve 0 = -l - 3*l + 3*m - 19, 24 = -4*l + q*m for l. -1 Suppose -38*f = -48 - 142. Solve 6 = -3*r + f*r, -3*u - r = 3 for u. -2 Let l(n) = 5*n - 1. Let y be l(1). Let m = -5617 + 5623. Solve f = 4*u + 25, -m*f + 30 = -y*u - 4*f for u. -5 Let b = -291 + 295. Solve b*h - 1 = w, -4 - 7 = 3*w - 4*h for w. -5 Suppose 0 = 3*w - 3*a + 6*a, 8 = -w - 5*a. Solve 0 = -4*q + l + 10, -4*l + 0*l = w*q - 14 for q. 3 Let h = 5 - 4. Let x(g) = g**2 - 1. Let w be x(h). Solve -3*s - 11 = -p, -s = -w*p + p + 9 for s. -5 Let a = -25 + 27. Let h = 67 - 46. Solve -a*y + 3*g + 15 = 0, 0 = 4*y - 4*g + g - h for y. 3 Let s(f) = -f**2 - 6*f - 4. Suppose 5*d - 2*a = -14, 5*a - a + 28 = -4*d. Let z be s(d). Suppose 3*b - z*b = 0. Solve b = 2*h - 4*j + 12, j = 4*j - 15 for h. 4 Let k(t) = t**3 - 4*t**2 + 4*t + 1. Let n be k(3). Suppose 137 = 10*a + 117. Solve -n*m - a*s - 11 = -5*m, -12 = 4*s for m. 5 Let f(l) = l**2 + 13. Let i be f(0). Suppose 27*h = 40 + 14. Suppose -3*o = 4*g, -2*o - 7 = 2*g + 3*g. Solve 5*k + i = 4*c, o*c - h*k = 2*k + 12 for c. 2 Let y be 8/2 - -2 - -1. Let g(z) = 3 + y*z - z**2 + 3*z - 6. Let x be g(9). Solve -3 = -2*w + f - 1, 4*w - f - x = 0 for w. 2 Suppose -4*l - 14 = 3*c - 50, 0 = 5*l. Suppose 6*j - 12 = c. Solve -3*z + j*s = -z + 26, 5*s - 31 = 2*z for z. -3 Suppose -1 = -4*z + 23. Suppose 2*q - 12 = u, -3*q + 2*q + 4 = 0. Let c = z + u. Solve 0 = b - c*v + 3, -2 = b + v - 2*v for b. -1 Let j be 42/28*(-2)/(-3). Solve -4*v = -12, -2*o - 4*v = -5 + j for o. -4 Suppose -4*b = -b - 54. Suppose -b = -6*m - 6. Solve 14 = -2*g - 2*i, 2*g + 0*i = m*i + 6 for g. -2 Let f(s) = s**3 + 9*s**2 - 2*s - 16. Let d be f(-9). Let c be 0 - (8/(-4) - d). Solve -20 = 2*t + 2*g + 3*g, -c*g = 8 for t. -5 Suppose 0 = 2*d + 32 - 38. Solve i + i - d*p = -8, p = -i - 4 for i. -4 Suppose -4*m = -3*a + 48, -a + 3*m = -12 + 1. Solve -2*o = 3*r + a, 2*r + r = 4*o + 4 for r. -4 Suppose 0 = l - 1 + 2. Let r = l + 3. Suppose 3*n + o = 6, 7*n - o - 18 = r*n. Solve 0 = -3*j - 4*b - 6, -b - 8 = -4*j + n for j. 2 Let t = 28 - 23. Suppose -13*f = -t*f. Solve 24 = 3*y - 4*z, z + f*z = 2*y - 11 for y. 4 Let c be (5/3)/((-40)/(-72)). Solve -4*q = -2*s + 24, c*s - 7*s + 33 = -5*q for q. -5 Let y = 31 + -27. Let g(i) = -i**2 + 2*i + 12. Let o be g(y). Solve 0 = -o*x - 5*t + 33, -x - t + 3 = -2*x for x. 2 Let x(q) = -2*q - 4. Let n be x(-3). Suppose -n*h + 2 + 6 = 0. Suppose 9 = h*j - 11. Solve 3*u - f - 2 = f, -j*f + 18 = 4*u for u. 2 Suppose -p = -r + 7, 3*r - 2*p = -7*p - 11. Solve 0 = -5*k - 3*d + 3, 5*k - r + 2 = -d for k. 0 Let b(g) = 2*g - 9. Let v(z) = -z + 4. Let y(k) = -4*b(k) - 9*v(k). Let c be y(4). Solve -3*j + 0 = 4*p - c, 0 = -3*p + 3*j + 3 for p. 1 Suppose -5*j - 5*w = -15, 5*j = -0*w + 2*w + 36. Let m be j/4 - 1/(-2). Let l be (-4)/((-3)/24*2). Solve l = 5*a - a, m*a = -2*u + 12 for u. 2 Let r = 65 + 12. Suppose 2*s = -r + 17. Let j = -26 - s. Solve j*h + 3*q + 11 = -5, 4*h = -q - 8 for h. -1 Suppose -2*j - 5*f = 3, -2 = 2*j + 3*f - 5. Suppose -3*v + 7 = 2*z - 13, 4*z = -2*v + 24. Solve j = d + q, -v*d + 3*q + 26 = 9 for d. 5 Let d(v) = 2*v**2 + 8*v - 6. Let r be d(-6). Suppose 0 = -27*w + r*w + 27. Solve 25 = -5*z, 4*q = -q + w*z + 15 for q. 0 Let j(p) = p**2 + 16. Suppose 2*t + a + 5 = 2*a, 4*t - 5 = -a. Let y be j(t). Let s = y - -18. Solve -4*c - 5 = r + 2, -s = -5*r + 3*c for r. 5 Let y be (-272)/(-56) + -5 + 145/35. Solve t = -4*n + 8, -t + y = -4*n + t for n. 1 Let r(p) = -p**3 - 5*p**2 + 4*p + 1. Let s(q) = q**3 - 5*q**2 - 3*q + 9. Let l be s(5). Let y be r(l). Solve c - 5*d = 21, -5*c + 2*d + y = -0*c for c. 1 Let n(g) = g**3 - 4*g**2 + 2*g + 2. Let t be n(4). Let k be (-2)/36 - (-12)/216. Solve -4*x + 0*x + 5*p + 45 = k, p - t = -3*x for x. 5 Let q = 1694 - 1686. Solve 0 = -5*d + 5*o + 3 - q, 0 = -3*d - 5*o + 5 for d. 0 Suppose 0 = -0*b + 3*b - 9. Suppose 3*o + 7 - 1 = 0, 5*o - 14 = -2*l. Solve 0 = p + 3*c + 13, -l = p + b*p + 4*c for p. 2 Let b be (-10)/(-4) - (-4)/(-8). Suppose 20 = 4*s + s - 2*l, 0 = -4*s - 4*l - 12. Let k = -3 - -3. Solve s*o + b = d, k*d = -2*d - 4*o - 12 for d. -2 Suppose 19 = -2*s - 5*b, 0*b + 25 = -5*b. Solve -5*q + r = -19, 2*r
{ "pile_set_name": "DM Mathematics" }
i)**(1/26)*((i*i**1/i*i)/i)**(-1/4)*(i/i**(-2/3))**(-2/19) assuming i is positive. i**(4819/2964) Simplify (h/(h**28*h)*h**(2/45)*(h/(h*h**(-1/29)))/(h**(-5/8)*h))**(-36) assuming h is positive. h**(295411/290) Simplify (n**6/n**(-21))/(n**(-7/2)*n*n*(n/(((n**8*n*n)/n)/n)*n)/n) assuming n is positive. n**(71/2) Simplify ((z*z**(-2)*z)**(-14/9)*(z*z**(4/5))/(z/z**(1/6)))/((z*z**(-4/3)*z)/(z/(z*z**(1/4)/z))*((z/(z/(z*z**(2/9)/z)*z)*z)/z)**(5/4)) assuming z is positive. z**(91/45) Simplify (x**(-1/3)/x*x**(-2/11))/(x*x/x**(-2/7)*x**(-5))*x/x**(-5)*x**(-2/13)*x*x**(-2/3)*(x/(x*x**5)*x)/x assuming x is positive. x**(2381/1001) Simplify ((y**(-1/4))**(-1/3)*(y/y**4)/y*y**(-1/7))/(y*y/y**(-4)*y*y*(y*y**(-1/3))/y*y*(y*(y/(y/(y*(y**(1/2)/y)/y)))/y)**(-1/11)) assuming y is positive. y**(-11801/924) Simplify ((((y/y**(-6)*y)/(y/(y/((y**1/y)/y)*y)*y))/(y*y**(-1/2)*y)**(-28))**(-2/5))**21 assuming y is positive. y**(-2142/5) Simplify ((((u*u*u**(-4/7))/u)**(10/11))**1)**(4/13) assuming u is positive. u**(120/1001) Simplify (m**(-2)*m/(m*m**2))/(m**(-4)*m**(1/15))*(m/(m*m*(m/(m/(m/(m/(m*m**4)))))/m*m*m)*m*m/(m/m**(-2/13)))/(m*m**1*m)**9 assuming m is positive. m**(-6478/195) Simplify ((w*w*w**(-2/9))/w**(1/10))/((w*w*w**(2/7))/w**(-1/5))*(w*w**(2/7)*w)**15*w**1*w**(-2/7) assuming w is positive. w**(21541/630) Simplify ((m*m**4/m)**(23/2))**(3/16)*m/(m**(-1/4)/m)*m**(-4/11)*m*(m**0)**(4/9) assuming m is positive. m**(1013/88) Simplify (x**0*x**(-10/3))**(-3)*(((x*(x*x**(-5)*x)/x*x*x)/x*x)/x**(1/4))/(((x/(x/(((x/x**(-3))/x)/x)))/x)/(x**(-1)*x*x)) assuming x is positive. x**(35/4) Simplify (q**(-5/3)/q)**(-27)/(q**21*q**(-27)) assuming q is positive. q**78 Simplify (((((n/n**0)/n)**(2/95))**30)**45)**(-32) assuming n is positive. 1 Simplify (u**(-15)*u**14*u**(1/2)/((u*u*u**12)/u))**(3/19) assuming u is positive. u**(-81/38) Simplify (((z/(z**(-1)*z))/z*z*z)/((z/(z/z**(-3/2)))/z)*z**(-6)*(z*z*z*z/(z/z**3))/z)/(z**(-4)*z/(z*(z*(z/(z/z**(10/3)*z))/z)/z))**(-29) assuming z is positive. z**(-907/6) Simplify ((x/(x**1*x))**(-2/13)/(x**(-3/4)*x**4))/((x*x**(-1/8)*x**(-2/11))/(x**(-3)*(x*x/x**2)/x)) assuming x is positive. x**(-8911/1144) Simplify ((t/(t*t*t**(1/10)*t))/t**1)/(t**(-7)*t*t/(t*((t**(2/5)/t)/t*t)/t))*(t*t**(2/7))**41/(t**6*t**6) assuming t is positive. t**(2941/70) Simplify (b*b**10*b*b*b**(2/29))**(4/15)/(((b*b**5*b)/b**(-2/19))/(b*b**1)**(-40)) assuming b is positive. b**(-691121/8265) Simplify (v**(-9/4)/v**(-2/3)*(v*v*v*v*v**36)/(v*v/v**(1/8)))**25 assuming v is positive. v**(21925/24) Simplify (r/(r*r**(-1/59)))**(-16/5)/((r/(r**(13/2)*r))/r*r**(-9)) assuming r is positive. r**(9703/590) Simplify (r**(-5)*(r/r**(-1/6))/r*(r**(1/4))**(-32))/((r**(-2)/(r/(r*r**(-1/6))))/(r**(-5/3)/r*r*r*r**(2/7))) assuming r is positive. r**(-232/21) Simplify ((z**(-1/3)/z**(-1/3))/(z/(z/z**6)*z*z**(-2/27)/z*z))/(z**(-2/7)*z/(z*z**3*z*z)*z/((z/z**(-3/7))/z*z)*z**(-7/5)/z) assuming z is positive. z**(1123/945) Simplify ((g/(g**(1/2)*g)*g/g**6)/(g/((g*(g**(-6)*g*g*g)/g)/g)*g/g**(-4/3)))/(g*g**(-5/2)/g*g**(4/9)*(g/g**(2/5)*g)**(-4/5)) assuming g is positive. g**(-2137/225) Simplify n**(1/7)/n*n*n**(5/6)*n*n*n**(1/6)*n/(n/(n**0/n))*((n/n**(2/5))/n*n**(-3)*n)/((n*n**(2/7))/(n**(-3/4)*n)) assuming n is positive. n**(-181/140) Simplify ((m/(m**(-7)*m*m))/m**(-2/25))/((m/m**7*m*m)/(m/m**3))*((m**1/m)/(m*m**(-9)*m))**41 assuming m is positive. m**(7377/25) Simplify (f**(-1/8)/f**(-1/4))/(f**(-2/3))**(-2/37)*((f*f**(-1/2))**(2/41))**50 assuming f is positive. f**(47639/36408) Simplify ((y/y**3)**(-4/5))**23/((y**(2/3)/y)**(-1/4)*(y**0)**9) assuming y is positive. y**(2203/60) Simplify (f**(-14)/(f**(4/7)/f)*f*f*f**0*f*f*f*f*f/f**(-7/4))**(-30) assuming f is positive. f**(2025/14) Simplify ((u**(2/3))**2)**42/((u**3*u/(u*u*u**(-1/2)*u*u))/(u**1/u*u/u**0)) assuming u is positive. u**(113/2) Simplify (t**(-1)/t*t*t*t/t**0*t*(((t**(-1)/t)/t)/t)**(-7/11))/((((t/(t**5/t))/t)/t**(1/7))/(t/(t/t**(-6))*t*t**(-4))) assuming t is positive. t**(-24/77) Simplify ((k*(k/((((k**(-1/6)/k*k*k)/k)/k)/k*k)*k*k*k)/k)**(1/10)*(k/k**(-2/77)*k)/k*k**(-17)*k*k)**(1/37) assuming k is positive. k**(-62173/170940) Simplify ((h*(h**(1/4)*h)/h)**(-2)/(h**(-2/7))**(-17))**(-8/17) assuming h is positive. h**(412/119) Simplify ((x*x**(2/13))/x*x*x**(-2/15))/(x*x/((x*x*x/(x*x*x/x**0))/x))**(1/20)*(x*x/(x**9/x)*x**(-3/13))**50 assuming x is positive. x**(-242321/780) Simplify (b/(b**(-2)*b*b)*b*b)**(-12)*(b/(b**0*b*b))**(-17)*b*b**(-1/3)*b**(-1)*(b*b**(1/2)/b)**7 assuming b is positive. b**(-95/6) Simplify (a**(-1)*a)/(a*a*a/a**7)*a*a**(-2/3)*a*a**(-2/21)*(((a*a**(2/7)*a)/a)**5)**(-16/3) assuming a is positive. a**(-610/21) Simplify (x/(x*x**11)*x*x*x*x**(1/12)*(x**30/x)/(x*(x*x*x**(8/5))/x))**36 assuming x is positive. x**(3147/5) Simplify ((q**(-11)*q/q**(1/11))/(q**(-2/9)*q)**(11/4))**(3/4) assuming q is positive. q**(-4843/528) Simplify ((g*g*g*g**(1/10))**37*g**(-1/2)*g**(2/7))**(-3/25) assuming g is positive. g**(-12021/875) Simplify ((z*z**(1/2)/z)**(3/7))**(3/43)/((z**(-2))**(-1/4)/(z/(z**(-2)*z)*z**(-5)/z)) assuming z is positive. z**(-1350/301) Simplify (((j/j**3)/j)/(j*j/j**(7/4))*(j**(2/3)*j)**(3/44))**(2/37) assuming j is positive. j**(-69/407) Simplify (((y*y*((y**(-31)/y)/y)/y*y*y**(17/4))**(-3/20))**(1/44))**(2/7) assuming y is positive. y**(321/12320) Simplify (((q**3*((q**5*q)/q*q)/q)/((q/q**(-1))/((q*(q/q**(-6))/q)/q)))**20)**(9/2) assuming q is positive. q**1080 Simplify (((p**(-1/2))**38*(p/p**(4/9))/p*p*p*p**(2/15))**(-44))**8 assuming p is positive. p**(274208/45) Simplify (i**(-2/29)*i**(-9))**(1/16)/(((((i*i*i**(-3/8)*i)/i)/i)/i**(4/9))/(i**0/(i**(-1)*i*i))) assuming i is positive. i**(-7297/4176) Simplify (o**0*o)**(-3/23)*(o**(-2)*o*o*o)/o**0*(o**(-4/7)*o*o*o**1*o)/(o/(o/(o**(2/3)/o)))**(-2/3) assuming o is positive. o**(5906/1449) Simplify (b**(-10)/b**(-2/11)*(b/(b*b*(b*b**21*b)/b))/(b**9/b))**(-6/11) assuming b is positive. b**(2694/121) Simplify (q**2)**38/(q**0)**(30/7)*(q**(2/3))**(-38)*(q**(1/2))**(1/2) assuming q is positive. q**(611/12) Simplify (((x/(x**(2/7)/x))/x*x/x**(-2/5)*((x/((x/((x/(x/x**(-3/5)*x*x))/x))/x))/x)**(9/7))**(-9/4))**28 assuming x is positive. x**(792/5) Simplify (((((v**(-7)/v)/v)/v*v**(-1/5))/(v/(v**(-1)/v))**(1/30))**44)**2 assuming v is positive. v**(-4532/5) Simplify (l*l**4)/(l/(l**4*l*l)*l)*(l**(-8)*l)/(l/(l/l**0)*l)*l/(l/l**(-8))*(l*(l**(-7)/l)/l)/l*(l*l*l**(-1))/(l/l**(-5)*l*l) assuming l is positive. l**(-23) Simplify ((k**(-2/7))**(-17))**4/((k/k**(2/3)*k)**(4/13)/(k**(2/5))**9) assuming k is positive. k**(30874/1365) Simplify ((o/(((o*o/(o**(3/5)/o)*o*o)/o)/o))**31/(o**(1/6)*o**15))**(-27) assuming o is positive. o**(15813/10) Simplify y**(-14/9)*y**(-3)*(y**(16/11)/y)/(y*y**(-17/2)*y) assuming y is positive. y**(475/198) Simplify ((z/z**(-2/9))/(((z**(4/5)/z)/z)/z)*((z*z**(1/2))/z)**(-24/11))/((z**(-6/11)*z/(z/(z**(1/3)/z*z)))/(z**1*z*z**(-3/4))) assuming z is positive. z**(7511/1980) Simplify (((v/v**(-5/6)*v*v)/v)/v*v**2)/(v*v**0)**(-14/13)*(v**3*v)/(v/((v*v*v**4*v)/v*v))*v**(-6)/((v/(v/v**5)*v*v)/v) assuming v is positive. v**(227/78) Simplify ((n*n**(-2)*n)**(-2/57)*n/(n**(11/6)*n)*n**10)**(8/3) assuming n is positive. n**(196/9) Simplify ((n*(n*n**3)/n)/((n**(-1/10)/n)/n*n*n))/(n/n**0)**(-2/31)*(n**(-1)*n)**(-37)*(n*n*n*n**(-1)*n*n)**(-11) assuming n is positive. n**(-12349/310) Simplify (d/(d/(d/d**(-2/3)))*d**4*(d/d**1)**(-2/5))/((d*d**(-2/7))**(7/4)/(d*(d**4/d)/d*d*d*(d**(-5)*d)/d)) assuming d is positive. d**(53/12) Simplify (((u**(2/15)*u*u*u)/u)**31/(u*u**1/u*(u**(-1/11)*u)/u*u))**35 assuming u is positive. u**(74179/33) Simplify ((c**(-1/2))**(-35)*c**(1/2)/c*c**(2/11))/((c**0)**(-43)/((c/c**5)/c**(1/2))) assuming c is positive. c**(279/22) Simplify (t*t/(t*t/(t*t*(t*t/((t/((t*t/(t/(t/(t*(t/t**(-1/11)*t)/t))))/t*t*t*t))/t)*t)/t))*t*t)**1*(t*t**(-42))/(t*t/t**(-42)) assuming t is positive. t**(-848/11) Simplify ((p**(12/11)*p**(-5/7)*p*p)/((p*p**(3/8))/p)**(1/54))**25 assuming p is positive. p**(656875/11088) Simplify ((w/w**(-1))**(2/79))**29*w**3/(w/(w/(w/((w**(-6)*w*w)/w)*w)))*(w**(1/4)/w)**2 assuming w is positive. w**(-637/158) Simplify ((t/(((t/(t**(-1/3)/t))/t*t)/t))**(-19)/(t**2)**(-1/8))/((t**(-1)/t)**(-1/15)/(((t**2/
{ "pile_set_name": "DM Mathematics" }
f is positive. f**(426/5) Simplify (((b*b*b*b**(-26))/b**(-2/5))**(10/3))**(2/47) assuming b is positive. b**(-452/141) Simplify (d/d**(2/13)*d/(d**(-2/13)*d*d)*(d**2)**(-1/4))**28 assuming d is positive. d**(-14) Simplify (w/(w**(-2/67)*w)*w**(-1/10)/w)/(w**(1/12)*w**30) assuming w is positive. w**(-125237/4020) Simplify ((x*(x**(-1/3)/x)/x)/x**(-5))/(x**(-3)/(x*x/x**(8/5))) assuming x is positive. x**(106/15) Simplify (z**(-1/5)*z*z**(-4/5)/z)/(z**1)**(1/9) assuming z is positive. z**(-10/9) Simplify ((s*(s**(-19)/s)/s)/(s*s**8))/(s**(-1)/(s/(s/(s/s**(-2/5))))) assuming s is positive. s**(-133/5) Simplify (h/(h**(16/3)*h)*h*h**(25/2)/h)**(-1/2) assuming h is positive. h**(-43/12) Simplify (g/(g*g**5/g)*g)/g*g/((g**13*g)/g)*g**(-4/5)/(g/g**11*g) assuming g is positive. g**(-39/5) Simplify ((r/r**(-14))**(-37))**33 assuming r is positive. r**(-18315) Simplify y**(11/7)*y*y**(2/17)*y*y*y**(-2/23)/y*y*y*y**24 assuming y is positive. y**(81021/2737) Simplify (((k/k**(-1/14))/k)/(k*k*k**(-38)))/(k*k**24/k*(k**(-3)/k)/k) assuming k is positive. k**(239/14) Simplify (t**(3/7))**3*(t/((t**(-4)*t)/t))**(4/21) assuming t is positive. t**(47/21) Simplify (z**(-3/5))**37*z**(-4)*z**(-3)*z assuming z is positive. z**(-141/5) Simplify ((f**(-1/5)*f*f/f**(-6)*f)/(f/(f**(-2/3)/f)*f**(-7)*f))**21 assuming f is positive. f**(1274/5) Simplify (a**(-2/69)/(a*a**18))/((a**25/a*a)/(a/a**(1/15)*a)) assuming a is positive. a**(-4841/115) Simplify (j**(-4)*j)/j**12*j**(2/9)*j/j**(11/5) assuming j is positive. j**(-719/45) Simplify (o**10)**(-21)*(o/(o*o**4*o))**(2/83) assuming o is positive. o**(-17440/83) Simplify (y**(-34)*y**(-3/8))/(y**(-16)/y**(-15)) assuming y is positive. y**(-267/8) Simplify h/((h*h/(h/h**(-8)*h))/h)*h/h**(-3/7)*h**(-6)/h**12 assuming h is positive. h**(-46/7) Simplify (h/(h**(1/5)/h))**21/(h/h**(2/11))**(-5/4) assuming h is positive. h**(8541/220) Simplify s**(1/7)/s**15*(s**(-3/11)*s)/s**(-8) assuming s is positive. s**(-472/77) Simplify (h**(9/2)*h)/(h/(h*h/h**(-3/5)))*h/h**(-4)*(h**(-13)*h)/h assuming h is positive. h**(-9/10) Simplify ((s*s**(1/4)*s*s/(s/(s**(-3/13)*s)*s)*s)/(s**3*s*s)**(-1/60))**(3/10) assuming s is positive. s**(121/130) Simplify (l/(l**(-1/4)*l))**(-11)/(l**(-3)/(l*(l**(-13)*l)/l)) assuming l is positive. l**(-47/4) Simplify ((d/(d**8/d*d))/d**(-4)*(d**(-2))**(2/13))**8 assuming d is positive. d**(-344/13) Simplify (j**(-11)*j/(j**34*j))**(-23) assuming j is positive. j**1035 Simplify ((((y/((y/(y*y**(-1)*y))/y))/y*y)/y**(-1/3))**30)**3 assuming y is positive. y**210 Simplify (u*u**(-23))/(u/(u*u**(-2/19)))*(u*u**(-1/7)*u)**(-1/15) assuming u is positive. u**(-44347/1995) Simplify (q**(-4/3)/q**6*(q/q**(-1/10))/q**5)**(-39) assuming q is positive. q**(4381/10) Simplify (l**(-6)*l)/l*l/(l*l**(-2/25)/l)*(l*l/(l**(-11/6)*l))**(-3/5) assuming l is positive. l**(-331/50) Simplify (q**(6/7)*q*q**8*q*q*q*q)/(((q/q**14)/q)/(q/q**(-9))) assuming q is positive. q**(265/7) Simplify ((v/v**(13/2))/(((v*v*v**(-4/7)/v*v)/v)/v))/(v**(2/11)/(v/(v/v**(-6))*v)) assuming v is positive. v**(-1557/154) Simplify (u**(-30)/u**(-2/11))**(5/9) assuming u is positive. u**(-1640/99) Simplify z*z**(-2)*z*z*z**(-1/16)*(z/(z*z/z**(1/2)))**(16/5) assuming z is positive. z**(-53/80) Simplify (o**3*o*o)**(-2/69)/(o**0)**(2/29) assuming o is positive. o**(-10/69) Simplify ((u*(u*u**(10/3)/u)/u)/(u/u**(-25)))/(u**15/u*u)**(11/8) assuming u is positive. u**(-1039/24) Simplify ((v/(((v**23*v)/v*v)/v)*v)/v*v**(-2/29))**(-1/44) assuming v is positive. v**(160/319) Simplify ((g/(g*g*g/(g/(g**4*g))))/g)**12*(g/((g/(g*g**(-19)*g))/g))**(5/3) assuming g is positive. g**(-332/3) Simplify (((a**(-1)/a*a)**(4/17))**(-17))**(-38) assuming a is positive. a**(-152) Simplify ((o**(-1/13)*o)/o)/o**(-1/2)*o/(o/(o*o*o/(o*(o*(o/(o/(o**(-13)/o)))/o)/o)*o*o*o))*o/(o*o**8/o) assuming o is positive. o**(349/26) Simplify ((k/((k/(k*k**(-25/6)*k))/k))/(k/(k/(k*k*k/(k**(-20)*k*k)*k))*k))**18 assuming k is positive. k**(-435) Simplify ((v/(v/(v**(-1)/v)))/v*(v*(v**6*v)/v)/v)/(((v**(-6/5)/v)/v)/v**(-2/17)) assuming v is positive. v**(517/85) Simplify (o*o*o**(-11))/o**27*(o**(10/9)/o)/(o*o**5/o) assuming o is positive. o**(-368/9) Simplify (m*m**(1/10)*(m*m**23/m)/m*m)/((m*m**(1/10)*m)/m*m**(1/19)) assuming m is positive. m**(436/19) Simplify (k*(k**(-10)/k)/k)/k*k/(k*k*k/(k**5*k)*k)*(k/(k/(k**(-2/27)/k)))/k**(1/2) assuming k is positive. k**(-571/54) Simplify ((l*l/l**11)/(l/(l*l**(1/10))))/(l**6*l)**(-5) assuming l is positive. l**(261/10) Simplify (l**(-1/3))**(-21)*(l/((l/((l/l**16)/l*l))/l))/l**(-6) assuming l is positive. 1/l Simplify i**(-16)/i*i**(-16)*i**(14/3)/(i/i**(-13)) assuming i is positive. i**(-127/3) Simplify ((c**(15/2)*c*c)/c*c*c*c/c**(-13/3))/(c**(-18)/c*(c*c**(-4))/c*c*c) assuming c is positive. c**(221/6) Simplify ((b**(-1))**(-9)/((b/b**(-3/5)*b*b)/(((((b/(b/b**(2/23)))/b)/b)/b)/b)))**(-2/95) assuming b is positive. b**(-18/575) Simplify (f**(-3)/(f*f**(-1)/f))/(f/f**(-4))**(-5/12) assuming f is positive. f**(1/12) Simplify ((k*k**(-9)*k*k)/(k/(k*k**13)))/((k/(k/k**(-9)*k)*k)/k**13) assuming k is positive. k**29 Simplify r**11/r**10*r**21*r/r**26 assuming r is positive. r**(-3) Simplify (j*j**(-1/2)/j)**40/(j**(-1/2)/(j/((((j**(-7/3)*j*j)/j)/j*j)/j)*j*j)) assuming j is positive. j**(-85/6) Simplify (n**(-2/29)/n*n*n**(-2/11))**(6/13) assuming n is positive. n**(-480/4147) Simplify ((v**0)**(-1/17)/((v*v**(-10))/(v/v**(-2))))**(-10) assuming v is positive. v**(-120) Simplify ((o*o/(o*o/(o/(o/o**2)))*o*o/((o/o**(1/6))/o))/(o*o**(-2)*o*o)**29)**(-18/11) assuming o is positive. o**(447/11) Simplify ((s*s/s**1*s*s/s**(-1/4))/((s/s**8*s*s)/(s/(((s*s/(s/(s**(-7)/s))*s*s)/s)/s))))**47 assuming s is positive. s**(3055/4) Simplify (r**(-6))**(2/17)*r**7*r**(-5) assuming r is positive. r**(22/17) Simplify (o**0/((o*o**(-1/10))/o))/((o/(o**(-2/25)*o*o))/o*o*o*o**(3/14)) assuming o is positive. o**(-34/175) Simplify ((t**(-1/22)/t)**(2/65))**(-3/10) assuming t is positive. t**(69/7150) Simplify (k/k**(-2/13))**(21/5)/(k/k**(3/4)*k/(k/k**7*k)) assuming k is positive. k**(-73/52) Simplify (c*c/(c*c**0)*c)**(-32)/((c*c/(c*c**(-5))*c*c)/c*c**(-10)) assuming c is positive. c**(-61) Simplify ((j*j*j*j*j/(j*j*j**(-6/7)*j))/(j*j**(-12)))/(j**(2/15))**(-1/8) assuming j is positive. j**(5827/420) Simplify (l/((l**(-1/2)*l)/l))/l**(-7)*(l/l**28)/l*l/l**(-23)*l assuming l is positive. l**(11/2) Simplify ((m*m/(m/(m*m**(-2)))*m)/m)**(-5/3)*(m**(-2/13))**(28/3) assuming m is positive. m**(-56/39) Simplify (y**(-1/2)/y*y)**(-5)/((y**(2/5)/y)/(y*y*(y**(1/5)*y)/y)) assuming y is positive. y**(53/10) Simplify (((m**(-6/5)*m)/m)/m*m*m**(1/5)*m*(m/m**(-3))**(-24))**13 assuming m is positive. m**(-1248) Simplify (y*y/y**(-8))/(y*y**7/y)*y**(7/3)*y/(y*y*y**(10/7)) assuming y is positive. y**(61/21) Simplify ((u**3*u**(-5)/u)**30)**19 assuming u is positive. u**(-1710) Simplify (r**(2/9)/r**6)/((r**(-4/7)*r)/r**(3/17)) assuming r is positive. r**(-6458/1071) Simplify k**(-1/10)*k/((k/k**(-5))/k)*k**(-2/15)*k/(k*k**(16/5)) assuming k is positive. k**(-223/30) Simplify ((h**(-2/3)*h**(3/2))/((h**(-2)*h)/(h/(h/(h/(h/(h**(5/4)/h)))*h))))**(14/5) assuming h is positive. h**(91/30) Simplify (i**(-1/6)/i)/i**(3/4)*(i**(-3/7)/i)**(35/3) assuming i is positive. i**(-223/12) Simplify (x**8)**(-1/23)/(x**(-1/6))**(12/7) assuming x is positive. x**(-10/161) Simplify ((u**(8/5)*u*u)/(u**(-4/13)*u)*((u/((u*u*u**(3/7))/u*u))/u)/(u**4*u))**35 assuming u is positive. u**(-2057/13) Simplify ((s*s**3*s)**40/(s**1/((s*(s**0/s)/s)/s)))**(-42) assuming s is positive. s**(-8274) Simplify (w**1*w*w*w/(w/w**(-21)))/((w*w/(w/(w*w*w**(2/3)*w*w)))/w*w**8) assuming w is positive. w**(-92/3) Simplify (a**(-9/4)*a/a**(-6)*a*a)/(a**(-2/17)*a*a/a**(2/35)*a*a) assuming a is positive. a**(6961/2380) Simplify (y*y**(-2/9)*y*y**8*y*y)/(y**2/y)**(1/8) assuming y is positive. y**(839/72) Simplify ((q**(8/7)/q*q**7)/(((q**5/q)/q)/(q/(q/(q*q*q**0*q)*q))))**36 assuming q is positive. q**(1548/7) Simplify (r*((r*r*r**19*r)/r)/r*(r*r**15/r)/r*r)/((r*r/r**(-19/4)*r)/((((r*r/r**(-1/14)*r*r)/r)/r)/r)) assuming r is positive. r**(821/28) Simplify ((s*s**(2/3))/s*s*s**(-1)*(s**2/s)**7)**(4/9) assuming s is positive. s**(92/27) Simplif
{ "pile_set_name": "DM Mathematics" }
r(1). Is 289 - l*3/12*0 a prime number? False Suppose 82 = 2*p + 90. Let d(f) = -300*f**3 - 6*f**2 + 4*f - 9. Is d(p) composite? False Let d(m) = 14*m**3 + 9*m**2 + 231*m - 32. Is d(26) a composite number? True Let n(p) = -6*p**3 - 14*p**2 - 88*p - 13. Is n(-14) composite? False Let s = -57995 + 416554. Is s a composite number? True Suppose -95725 = 157*x - 158*x. Let u = x - 37556. Is u composite? False Let x(z) = 313*z**2 + 437*z + 137. Is x(-50) composite? True Suppose -5*k + 25 = -20. Let a be (-12)/(-16)*(3 + k). Let g = a - -242. Is g a prime number? True Is (288/27)/(-16) + 3 + 2767218/9 prime? True Let f be (-5)/(-20) + 4/(32/78830). Let l = 15228 - f. Suppose 2*p - l = -708. Is p prime? True Suppose 5*w + 698 = 4*i, -5*i - w + 889 = w. Suppose -42 = -m + i. Let z = 1450 + m. Is z a composite number? False Suppose -6*w + 11*w = 3*w. Let a(n) = -n**3 - 9*n**2 - n + 11463. Is a(w) a prime number? False Suppose -2*b + 172 = 4*d + b, d = 5*b + 20. Suppose 46*z = d*z - 24. Is z + (-47835)/(-35) + 4/14 composite? True Let d(y) = 4101*y**2 + 13*y + 3. Let q(i) = -12303*i**2 - 38*i - 10. Let n(a) = -17*d(a) - 6*q(a). Is n(-1) a prime number? False Let n be 25/(-15)*-3 - 1. Let c be (-6)/3 + 3 + (7 - n). Suppose 0 = -c*q - 4, -q + 169 = 3*j - 1327. Is j a prime number? True Let w(j) = -313*j**3 - 7*j**2 + 11*j + 94. Is w(-5) prime? False Let b(o) = -7 + 314*o - 2 - 320*o. Let y be b(-2). Suppose -12*g + 2259 = -y*g. Is g composite? False Let b = -101 + 151. Suppose b*p + 6188 = 54*p. Let j = p - -384. Is j prime? True Let i = 97817 + -8256. Is i a prime number? True Is (-2)/38 - (-386538)/437*2 composite? True Let k(c) be the third derivative of -1285*c**4/4 + 107*c**3/6 - 51*c**2 - 2*c. Is k(-2) a composite number? False Let r(k) = -k**3 + 2*k**2 + 42*k - 12. Let h be r(-6). Is (2*3/(-8))/(h/(-936608)) a prime number? True Let n be 10/8 - (-90)/24. Suppose -s = n, -3*s = 4*c + c - 134630. Is c a prime number? False Suppose -5*r = -14*r + 3380184 - 169137. Is r composite? True Suppose -5*x + 4*t = -292, 122 = 3*x - 4*t - 58. Let l be 434/(-8) + 2/8. Let v = x + l. Is v a composite number? False Let x = -26297 + 39193. Suppose 0 = -3*o - 2*u - x, 12900 = -0*o - 3*o - 3*u. Is (2/(-4))/(6/o) - 3 prime? False Suppose 5*n - 3*y + 1 = n, 0 = -3*n + 2*y. Is (-1)/((16/(-84616))/n) prime? False Let u be ((-52)/6)/(((-80)/(-8790))/(-8)). Suppose 0 = -5*w - 2*o + 18985, 0 = -2*w + o + 3*o + u. Is w a prime number? False Let h = 510 - 27. Suppose 4316 = k + h. Is k prime? True Let u be (-9)/(-36) - (-167)/4. Suppose -3*d = -3*b + 903, b = -2*d + 250 + u. Suppose 3*f = -b + 1291. Is f composite? False Let y = 340 + -340. Let t(h) = h**3 - h**2 - 4*h + 1703. Is t(y) prime? False Suppose -x - 6 = 4*j, -5*j - 2*x - 6 = -0*x. Let w be ((-10)/(-6) + j)/((-5)/120). Let d(u) = 169*u + 15. Is d(w) prime? True Let b(h) = -h**3 - 21*h**2 - 23*h + 20. Let n be b(-20). Suppose -30882 = n*j - 86*j. Is j a prime number? True Suppose 0 = 7*w - 88 + 39. Suppose -3*z - 2*n + 58117 = 0, 2*z - w*n = -10*n + 38743. Is z prime? True Let c be 0/(-1*(1 - -2)). Suppose c = -5*d + d + 580. Is d a prime number? False Suppose -b + 3 = 2*l, 3*b - 7*b + 4 = 0. Let a(j) be the third derivative of 89*j**4/2 - j**3/6 - 22*j**2. Is a(l) composite? True Let b = -22 + 21. Let c = 4 - b. Let d(h) = 3*h**3 - 5*h**2 + h - 1. Is d(c) a composite number? True Suppose 30 = -18*p + 24*p. Suppose z + 4*h + 4208 = p*z, 4*z - 4178 = -2*h. Suppose 2*y + 317 - z = 0. Is y prime? False Suppose 70976 + 271420 = 36*d. Suppose d + 8861 = 12*u. Is u a prime number? True Suppose -2*n - 308 = 118. Let h = 1349 + n. Suppose 2*f - 5*u = 768, u = 4*f - 418 - h. Is f composite? False Let l be 6/(-3) - (4 + (-33)/3). Suppose 0 = -l*y + 6*y - 4. Suppose -y*m = 2*m - 318. Is m composite? False Suppose 0 = -90*r - 28*r - 0*r + 1155574. Is r prime? False Let u be 3*1/1 - (2 + 1). Suppose 13*t + t + 39102 = u. Is t/(-2) + 0 - 2/(-4) a composite number? True Let d = 110376 - 73289. Is d a prime number? True Suppose -5*g + 3470 = -4*a, 4*a = 5*g - a - 3470. Let o = -396 + g. Is o a prime number? False Suppose 0 = 3*h + t - 6, h - 3*h - 5*t + 4 = 0. Let c(x) = -h*x + 2 - 24*x - 17 - 4. Is c(-11) a composite number? True Suppose 469*p = 467*p - 3093390. Is p/(-39) - (-8)/52 a prime number? True Let w = -50 - -52. Suppose w*x = -2*i, -4*i = -3*x - 2*x + 18. Suppose 0 = x*d - 161 - 333. Is d a composite number? True Suppose -l + 276863 = v, -21*l + 27*v + 553900 = -19*l. Is l a composite number? False Let m(u) = 2*u**3 - 9*u**2 + 33*u - 417. Is m(27) a prime number? False Is (45/(-180))/(1/(-92632)) composite? True Let d(m) = 10*m**3 + 4*m**2 + m + 11. Let f(n) = -n**3 + n**2 - 3*n + 1. Let y(p) = -d(p) + 2*f(p). Is y(-10) composite? True Suppose 57*z = 55*z + 694. Let n = z + 140. Is n a composite number? False Suppose -4*z = -44 - 100. Let y = z + 1362. Suppose 9*u - 3*u - y = 0. Is u a composite number? False Let y be 2/5 + 114/15 + 2. Let u be 25/y*-2 - -8. Suppose g = -5*c + 2495, u*c - 2*c + g - 499 = 0. Is c prime? True Suppose -2*g - 12 - 2 = -p, 2*g = -10. Suppose p*l - 4*u = 34062 + 50162, -l + 21044 = -5*u. Is l a composite number? False Is 132994 - (15 + 180/(-18)) prime? True Suppose 174*f - 903744 - 6764262 = 0. Is f a composite number? True Let r(g) = 7142*g - 23. Let k be r(3). Let h = k + -14010. Is h a composite number? False Suppose -314 = 4*l - 58. Let r = -68 - l. Is (-1)/((-1356)/(-340) + r) a composite number? True Let r = -7075 - -18048. Is r a prime number? True Suppose -26858535 = 42*s - 32*s - 43*s. Is s a prime number? False Let z = -7654 + 139947. Is z composite? True Let t(n) = 11 - 230*n - 183*n + 20 - 12 - 191*n. Is t(-7) a composite number? True Let c = -365579 + 732480. Is c composite? False Suppose r + x = 8, -5*r = 6*x - 2*x - 45. Suppose 9*k + 4036 = r*k. Is k a prime number? True Is (-12 + 9 + 68026)*(6 - 3) prime? False Let r = 182 + -179. Let v = 15 - 11. Suppose -r*j - 688 = -z, -v*z = -2*z + 4*j - 1366. Is z a prime number? False Let s = -410 + 407. Let m(a) = 399*a**2 + 3*a + 11. Is m(s) prime? True Let n = 41 - 39. Let y be n/4 - (-50)/20. Suppose 3*p - 899 = -2*c, -y*p + 8*p + 923 = 2*c. Is c prime? False Suppose 15*w - 177 + 117 = 0. Let c(u) = 16*u**2 - 39*u - 5. Is c(w) composite? True Is (265645/(-6))/((-388)/2328) prime? False Let u = 372841 - 113720. Is u composite? False Suppose 2*k + 3*f = 26 - 5, 17 = -k + 4*f. Suppose k*t = -2*s - 14, -3*s + 1 = -0*s - t. Let w(n) = -202*n**3 + 2*n + 1. Is w(s) prime? False Let g(u) = -2*u**2 + 10*u + 8. Let h be g(6). Let j be h*(-5)/30*-753. Is -4*(j/(-8))/(10 + -11) a prime number? True Let y(z) = -3*z**3 - 36*z**2 + 7*z + 22. Let r be y(-16). Suppose -25*p + r = -11*p. Is p a composite number? True Suppose 0 = -2*c - 4*d + 3*d + 15, -4*d = 2*c - 30. Suppose 0 = -c*f + f + 28. Suppose 5*h + 2*m = f*h - 608, -3*m = -5*h + 1526. Is h composite? False Let j be 2/9 - (-6)/54*115891. Let v = j - 8790. Is v prime? False Is (381366/(-8))/(27/(-36)) prime? False Let g(o) = 38*o**2 - 291*o + 2463. Is g(-91) composite? True Suppose -2*z + 2*k - 7734 = 6*k, -k + 11580 = -3*z. Let o = z - -1772. Let m = o - -3132. Is m a prime number? False Suppose 0 = 7*w + 58 - 16. Is w - -5 - (-1 - 26627) composite? False Suppose 0 = -5*z - 5*u + 80970, -3*u - 637 = z - 16821. Is z a prime number? False Suppose 531*a + 7422298 = 44739385. Is a composite? True Let d = 981 - 964. Suppose 23088 = 65*g - d*g. Is g composite? True Let v be 172/36 - 1/(-18)*4. Suppose -479 - 15064 = -v*r - 2*i, 2*i - 8 = 0. Is r prime? False Suppose -3*l - 4*i + 11907 = 0, 4*l = -0*l - i + 15902. Is l composite? True Let s = -397 - -397. Is -3 + -2 - 48952/(-1 - s) composite? False Let a be (6/5)/(18/(-60)). Let c be (3*a)/((-6)/(-20)). Is (-16)/c + (-73)/(-5) a prime number? False Let t(h) = 5*h + 8*h**2 + 243 - 2*h**3 - 135 - 57. Is t(-16) composite? False Let d be ((-210)/(-75))/(1/5). Suppose -9144 = d*m - 291790. Is m prime? False Suppose -286*p - p + 205473798 = 19*p. Is p composite? True Let r = 7 - 29. Let z(c) = 23*c**2 - 22*c - 29. Is z(r) a prime number? True Is 460/(-100)*5 - -93576 composite? False Suppose -7*t + 279385 = -494885. Suppose -y = i - 36872, 4*y - 3*i
{ "pile_set_name": "DM Mathematics" }
3*q**2 + 6. Let w(v) = -1. Let g be -2 - 0 - 1 - -4. Let h(l) = g*s(l) + 6*w(l). Give h(m(f)). 27*f**2 Let k(t) = 2*t**2. Let l(c) = -2*c**2 + 63*c. Give l(k(i)). -8*i**4 + 126*i**2 Let i(q) be the second derivative of q**4/12 - 5*q. Let h(f) = 9*f - 4. Let b(m) = -9*m + 5. Let s(g) = -4*b(g) - 5*h(g). What is i(s(k))? 81*k**2 Let t(g) = 7*g. Let v(d) = -140*d. Let b(p) = -119*t(p) - 6*v(p). Let n(q) = 2*q. Give b(n(z)). 14*z Let s(p) be the third derivative of p**4/12 - 17*p**2. Let g(i) = -i**2 + 54. Calculate g(s(j)). -4*j**2 + 54 Let u(l) be the second derivative of -l**5/120 - l**3/3 - 3*l. Let d(i) be the second derivative of u(i). Let a(c) = 3*c. Determine d(a(b)). -3*b Let m(x) = 2*x - 2*x + 2*x**2. Let t(y) = -y**2 + 4*y. Let b be t(4). Let a(r) = 2*r + 2*r + b*r. Determine a(m(w)). 8*w**2 Let q(s) be the first derivative of s**2/2 - 2. Let t(h) be the third derivative of h**4/24 - 5*h**2. Calculate t(q(c)). c Let o(a) = 16*a. Let q(b) = -2*b + 2*b + 2*b. What is o(q(v))? 32*v Let c(o) = 136*o. Let m(t) = -5*t**2. What is c(m(p))? -680*p**2 Suppose 0*k + 10 = 5*k. Let y(u) = -2 - u**k + 2. Let h(d) = 4*d + 2*d**2 - 4*d + 0*d. Determine y(h(b)). -4*b**4 Let p(r) = -11*r + 16*r - 4*r. Let i(y) = -19*y. Give p(i(w)). -19*w Let n(o) = -20*o. Let d(a) = -7*a. Let i(y) = -14*d(y) + 5*n(y). Let z(x) = -2*x. What is i(z(f))? 4*f Let o = 2 + 0. Suppose 0 = o*x + 3*x - 10. Let m(f) = 2*f - x*f - 2*f. Let h(d) = 3*d. Calculate m(h(t)). -6*t Let u(b) = -3*b + 0*b + 2*b + 0*b. Let k(x) = -3*x + 3*x - 2*x**2 + 0*x. Calculate u(k(c)). 2*c**2 Let d(s) = -s + 9. Let f be d(7). Let c(w) = -5*w**2 + 3*w**2 + 0*w**f. Let z(t) = 2*t. Calculate c(z(r)). -8*r**2 Let t(o) = -2*o**2. Let p(c) be the first derivative of 0*c**2 + 1/3*c**3 + 0*c - 2. Determine t(p(v)). -2*v**4 Let b(j) = -j**2. Let y(r) = -2*r**2 - r + 5. Let p(u) = -2*u**2 - u + 4. Let o(h) = -5*p(h) + 4*y(h). Calculate o(b(m)). 2*m**4 - m**2 Let s(u) = -2*u. Let o(m) be the third derivative of -31*m**4/24 + 4*m**2. Give o(s(x)). 62*x Let i(a) = 8 - 8 + 2*a**2. Let p(v) = -5*v. Determine i(p(w)). 50*w**2 Let b(k) = -6*k - 2. Let t(p) = -10*p**2 + 4*p. Calculate b(t(x)). 60*x**2 - 24*x - 2 Let a(l) = -3*l. Let o(k) = -2*k**2 - 3447. Determine a(o(y)). 6*y**2 + 10341 Let s(y) = 3*y. Let i(m) = 2666*m**2. What is s(i(x))? 7998*x**2 Let w(r) = r - 2*r + 0*r. Suppose 8*y - 2*y = 0. Let o(d) = y*d - d + 0*d + 4*d. Calculate o(w(m)). -3*m Let c(p) = -3*p. Let i(q) = 10*q**2 + 6*q**2 - 7*q**2. Determine c(i(m)). -27*m**2 Let t(p) = 6*p. Let f(s) be the second derivative of -s**4/12 + 10*s. What is t(f(k))? -6*k**2 Let g(i) = -i. Let v(s) = -s. Calculate g(v(q)). q Let u be ((-3)/(-2))/((-5)/(-10)). Let z be 1/u + 20/12. Let r(s) = 7 - z*s - 7. Let b(j) = 5*j**2. Calculate r(b(l)). -10*l**2 Let m(u) = u**2. Let j(b) = -2*b**2 - 2. Determine j(m(a)). -2*a**4 - 2 Let o(p) be the first derivative of 3*p**2/2 - p + 23. Let q(f) = -2*f**2. What is o(q(t))? -6*t**2 - 1 Let o(z) = z**2. Let q(h) be the second derivative of -h**3 - 13*h. Calculate o(q(j)). 36*j**2 Let q(l) = 138*l. Let a(y) = -3*y. Calculate q(a(k)). -414*k Let z(b) = 2*b**2. Let n(m) = -2*m**2 - 2*m. Let l(r) = 2*r**2 + 3*r. Let g(j) = -2*l(j) - 3*n(j). Give z(g(a)). 8*a**4 Let q(h) = 3*h. Let t(w) = 523*w**2. What is t(q(c))? 4707*c**2 Let w(r) = -2*r**2. Let a(f) = 10*f - 11. Let t(m) be the third derivative of -m**4/12 + m**3/3 + 6*m**2. Let j(x) = -2*a(x) - 11*t(x). Give w(j(l)). -8*l**2 Let a(k) be the first derivative of -k**4/12 + k**2/2 - 2. Let w(g) be the second derivative of a(g). Let r(l) = -2*l - 7*l + 6*l. Calculate w(r(q)). 6*q Let n(u) = -u. Let c(y) = -8*y**2 + 4*y + 4. Let z(s) = 15*s**2 - 7*s - 7. Let a(b) = -7*c(b) - 4*z(b). Calculate a(n(t)). -4*t**2 Suppose -1 = -i - 0. Let q(v) = -i + v + 1. Let x(d) be the first derivative of -d**3/3 - 2. Determine q(x(c)). -c**2 Let i(k) = -k**2. Suppose 0 = 3*o - 5 - 1. Let t = 1 + 1. Let x(f) = -f**o + 2 - t. Calculate i(x(b)). -b**4 Let k(s) = 6*s - 3*s - 2*s. Let y(l) = 12*l. Give y(k(m)). 12*m Let s(n) = 218*n. Let j(w) = 28*w. Determine j(s(i)). 6104*i Let k(l) = -254 + 254 + 2*l. Let j(x) = 5*x**2 + x**2 - 4*x**2. Calculate k(j(y)). 4*y**2 Let b(p) = -261*p - 2. Let w(j) = 3*j. Give w(b(c)). -783*c - 6 Let l(a) = 3*a**2. Let c(n) = -2*n**2 + 65. Calculate c(l(y)). -18*y**4 + 65 Let c(q) = 2*q**2. Let x(r) = -11*r**2 - 6*r - 6. Suppose -9 = -4*f + 11. Let p(s) = -10*s**2 - 5*s - 5. Let h(z) = f*x(z) - 6*p(z). Determine h(c(t)). 20*t**4 Let k(a) = 2*a**2. Let r(s) = -2*s - 12. Calculate k(r(m)). 8*m**2 + 96*m + 288 Let y(q) = 10*q**2. Let r(c) = 6*c - 3. What is r(y(a))? 60*a**2 - 3 Let c(d) = -8*d**2 - 11*d - 11. Let j(i) = -3*i**2 - 4*i - 4. Let s(h) = -4*c(h) + 11*j(h). Let x(t) = -t. Determine s(x(w)). -w**2 Let n(m) = 5*m**2. Let h(p) = -4*p**2 + 8*p**2 - 7*p**2. Give n(h(z)). 45*z**4 Let a(d) be the second derivative of -d**3/6 - 3*d. Let b(n) = -n. Let y(f) = -3*a(f) + b(f). Let m(h) = -h**2. Determine m(y(o)). -4*o**2 Let s(v) be the first derivative of v**2 + 26. Let k(g) = 4*g**2. Determine k(s(y)). 16*y**2 Let k(d) = -9*d. Let y(f) = f**2 + 24*f. Calculate y(k(w)). 81*w**2 - 216*w Let l(i) = i. Let k(g) be the first derivative of -g**3/3 + 6. What is k(l(j))? -j**2 Let s(p) = 12*p**2. Let n(u) = u**2 + u + 1. Let o(z) = z**2 + 3*z + 3. Let x(k) = -3*n(k) + o(k). Determine s(x(y)). 48*y**4 Let r(p) = -122*p**2. Let y(q) = 17*q. Give y(r(s)). -2074*s**2 Let i(x) = -x**2. Let d(m) be the first derivative of m**2/2 + 4. Let b be d(2). Let q(v) = 4*v**b + 0*v**2 - 3*v**2. Give q(i(r)). r**4 Let d(v) = -2*v - 2*v + 3*v - 1. Let p(c) = 4*c + 3. Let q(a) = 6*d(a) + 2*p(a). Let k(n) = 4*n - 9 + 9. Give q(k(y)). 8*y Let w(l) = -5*l + 3. Let f(p) = 14*p - 8. Suppose -3*k = -5*i - 1, 0 + 17 = -3*k - 4*i. Let a(n) = k*f(n) - 8*w(n). Let s(r) = r. Determine s(a(b)). -2*b Let o(p) = -3*p**2. Let l(q) = -7*q. Give l(o(n)). 21*n**2 Let g(x) = x. Let k(h) be the first derivative of -2*h**3/3 - 1. Calculate g(k(r)). -2*r**2 Suppose 4 = 7*u - 10. Let b(y) be the second derivative of 0*y**u - 2*y + 0 - 1/6*y**3. Let z(d) = d**2. What is b(z(x))? -x**2 Let w(t) = 7*t. Let z(n) = 65*n**2 + n. Calculate z(w(j)). 3185*j**2 + 7*j Let i(c) = c**2 - 2*c. Let z(d) = -d. Let r(q) = -i(q) + 2*z(q). Let o(b) = -3*b. What is r(o(j))? -9*j**2 Let v(z) = -73*z**2. Let k(u) = 6*u. Determine v(k(s)). -2628*s**2 Let j(v) = -1. Let o be 2/((-4)/(-6)) + -1. Let r(n) = 5*n - o*n - 7 - 2*n. Let w(c) = 14*j(c) - 2*r(c). Let i(f) = 2*f**2. Determine i(w(y)). 8*y**2 Let u(w) = -2*w. Let k(m) be the third derivative of m**5/120 - m**3/3 - 3*m**2. Let t(c) be the first derivative of k(c). Calculate u(t(s)). -2*s Let s(a) = -2*a**2 - 18*a. Let q(k) = 2*k**2. Give q(s(t)). 8*t**4 + 144*t**3 + 648*t**2 Let a(m) = -6*m**2. Let c(v) be the second derivative of -v**3/3 + 20*v. Give c(a(i)). 12*i**2 Let z(g) = -14*g**2. Let m(x) be the second derivative of x**3/3 - 2*x. Calculate m(z(d)). -28*d**2 Let c(x) = -26*x. Let s(d) = 22*d. Give s(c(u)). -572*u Let m(y) = 4*y. Let f(w) = -w**2 - w + 4. Let n be f(0). Let p(b) be the first derivative of b**2 - n*b**2 - 4 + 2 + 2*b**2. What is m(p(i))? -8*i Let y(j) = -201*j + 2. Let c(d) = 3*d. What is y(c(w))? -603*w + 2 Let v(j) = 4*j**3 - j + 1. Let w be v(1). Suppose w*a = -0*a + 8. Let r(c) = -2*c + 6*c - a*c. Let g(t) = t**2. What is r(g(u))? 2*u**2 Let r(b) = -23*b. Let l(a) = -9*a + 22*a - 12*a. Calculate r(l(g)). -23*g Let t(l) = -10*l**2. Let f(c) = -60*c + 5. What is t(f(x))? -36000*x**2 + 6000*x - 250 Let q(a) = 49*a**2 - a. Let p(i) = 8*i**2. Give p(q(y)). 19208*y**4 - 784*y**3 + 8*y**2 Let a(q) = -2504*q**2. Let s(g) = -g**2. What is a(s(f))? -2504*f**4 Let s(q) = -16*q. Let n(f) = -4. Let a(c) = -c - 6. Let w(m) = 2*a(m) - 3*n(m). Determine w(s(l)). 32*l Let q(w) = 2*w. Let r(f) be the third derivative of -f**5/60 - 11*f**4/24 - 4*f**2. Determine r(q(g)). -4*g**2 - 22*g Let k(m) = 5*m. Let g(d) = -8*d + 6*d - 4*d. What is g(k(f))? -30*f Let l be (-2 - -2)/(-1 - -3). Suppose -t + l*t - 2*m - 1 = 0, 3*t - 1 = -4*m. Let q(y) = t*y - 4*y + 2*y. Let j(r) = 2*r. Calculate q(j(k)). 2*k Let p(z) be the second derivative of -z**4/12 - z. Let y(u) = 60 - 60 + 4*u**2. Dete
{ "pile_set_name": "DM Mathematics" }
+ 2*d**2. What is p(6)? 9 Let f be ((-205)/123)/(2/6). Suppose i + 0 = -4. Let b(d) = -d**2 - d + 1. Let n(a) = a**3 + 8*a**2 + 3*a + 2. Let w(r) = i*b(r) - n(r). Give w(f). 14 Let m(n) = -20*n + 1. Let o(s) = 11*s - 1. Let v(w) = 3*m(w) + 5*o(w). What is v(-2)? 8 Let t = 41 - 31. Let q(i) = i + 1 + t - 8. Determine q(6). 9 Let f(r) = 1 + 3 - r + 2 + 2*r. Let o be (-17 - 0)*(2 - 3). Let p be 2/(-6) - o/3. Give f(p). 0 Let a(k) = -k**3 - 5*k**2 + 9*k + 12. Suppose 23*t - 90 = 38*t. Determine a(t). -6 Let b(l) = l**3 + l**2 + 2*l + 1. Let f(o) = 2*o**3 - o**2 + 4*o + 7. Let k(w) = 3*b(w) - f(w). Calculate k(-4). -12 Let j(t) = -42*t + 15 - 13 + 40*t. Give j(7). -12 Let h(o) be the third derivative of 0 + 6*o**2 + 0*o - 1/6*o**3 + 1/24*o**4. Let y = -6 - 0. What is h(y)? -7 Let s(c) = -2*c**2 - c + 4. Suppose -12*p + 23*p - 44 = 0. Determine s(p). -32 Let j(w) = 3*w**2 + w + 1. Let b = 6 - -5. Suppose -2*f + b = -7. Let o be (-12)/f*(-12)/(-8). Calculate j(o). 11 Suppose l = 4*m - 2*l + 11, -2*l = 4*m + 26. Let o(h) = 0*h**2 + 2*h**2 - 7 + 3*h + 2*h. What is o(m)? 18 Let d(l) = l**3 - 4*l**2 + 3*l + 4. Suppose -5*w - 25 = 0, 11 = -h - 2*h - 4*w. Give d(h). 4 Let f = -10 + 11. Let p(z) = 0 - 6 + 2 + 3*z**2 + 5. Let l be p(f). Let x(j) = -j**2 + 6*j - 6. Determine x(l). 2 Let c = -9 + 9. Let v be c + -1 + 2 + 4. Let l(p) = 8*p**2 - 3*p + 1 - v - 9*p**2. Give l(-3). -4 Let z be (-15 - 1) + 10 + 5. Let k = -1 + -1. Let w(t) = -t**2 - t - 1. Let b(q) = -8*q**2 - 2*q - 1. Let g(h) = k*w(h) + b(h). Calculate g(z). -5 Suppose -2*y + 21*b - 16 = 16*b, 5*b - 30 = -5*y. Let g(i) = 3*i**3 - i**2 - 2*i + 1. Determine g(y). 17 Let a(k) = 7*k**2. Let r = -195 + 196. What is a(r)? 7 Let h(z) = -3 + 2*z + 2 + 12. Let j(o) = 2*o**3 + 10*o**2 + 11*o + 4. Let i be j(-4). Calculate h(i). -5 Suppose 27 = 4*m + 2*o + 3, -m = 2*o - 6. Suppose -8*q + 6 = -m*q. Let b(v) = -4 + 5 - 6*v + q*v - 5. Calculate b(4). -16 Let u(o) = -4*o**3 - 6*o**2 - 5*o + 0*o**2 + 1 + 3*o**3. Let r(k) = -5*k + 6. Let i be r(2). Calculate u(i). -11 Let h be (4 + 1/(-1))/((-3)/9). Let x(a) = 3*a + 24. Determine x(h). -3 Suppose 241*a - 71*a = -1360. Let b(m) = -3*m + 4*m + 0*m. Determine b(a). -8 Let j(h) = -h**2 + 4*h + 1. Let s = 23 + -31. Let a be s/6*(-9)/2. Give j(a). -11 Let m = -21 - -11. Let h(t) = -t - 7. Let u be h(m). Let z(l) = -3*l + 3. Let d(f) = -2*f + 1. Let a(y) = u*z(y) - 5*d(y). Calculate a(5). 9 Let c(u) be the third derivative of -u**6/120 - u**5/12 - u**4/6 + u**3/2 - 36*u**2. Give c(-4). 3 Let n(i) = i**3 - i + 11. Let h(d) = -3*d**3 - 10*d**2 + 9. Let f be h(-3). Give n(f). 11 Suppose -15 = -5*x - 0. Suppose -4*m + x*u + 10 = 2, m - 4*u - 2 = 0. Let q(k) = -5*k + 0*k - 5 + k**m - 1. Give q(6). 0 Let u(p) = 5*p - 8 - 2*p**3 + 4*p**2 + p**3 + 2*p**2. Suppose -42 = -95*j + 89*j. Calculate u(j). -22 Let j(d) be the second derivative of -1/6*d**3 + 7*d + 0*d**2 + 0. What is j(-5)? 5 Let t(m) = -m**2 + 2*m + 3. Let h be t(3). Let x(s) = 8 + h*s**3 + 12*s - 2*s**3 - 8*s**2 + 3*s**3 - 3*s. Determine x(7). 22 Let n(j) = -j. Let s(w) = 3*w - 2. Let t(a) = 4*n(a) + s(a). Let v = 22 - 17. Suppose -v*f + 32 = 62. What is t(f)? 4 Suppose 0 = 2*c - 10*c + 72. Let i(z) = -5*z - 5*z**2 + 2 + z**3 - 6*z**2 + c*z**2 - z**2. Determine i(4). -2 Let o be (-1)/((-1)/(-1)) - -2. Let t(i) = -2*i + i**2 - 10*i**3 + 23 + 28 - 50 + 3*i**3. Calculate t(o). -7 Let y(v) = 4*v - 6. Let i(p) be the third derivative of -3*p**4/8 + 2*p**3 - 12*p**2. Let m(u) = 3*i(u) + 7*y(u). Determine m(5). -1 Suppose -2*p = 0, 2*d - 5*p - 42 = d. Let n = 35 - d. Let b(t) = -t**2 + 7 + 12*t - 17*t + 5 - 2. What is b(n)? -4 Let y(g) = -2*g - 45. Let k be y(-22). Let b be 1*k*(-31 - -26). Let u(t) = -t + 2 - 2*t + t + t. Give u(b). -3 Let a be 6/(6*3/18). Let m(x) = x**2 - 7*x + 9. Calculate m(a). 3 Let j(q) be the third derivative of q**5/60 + 5*q**4/24 + q**3/6 - 64*q**2. Suppose 7 = -3*x - 5. Calculate j(x). -3 Let i(w) = -9. Let o(c) = -c + 13. Let a(h) = 5*i(h) + 5*o(h). Give a(4). 0 Let u be (11 - 2)/((-7)/(-105)). Let q be 56/9 - 30/u. Let w(d) = d**3 - 6*d**2 + 2*d - 1. Determine w(q). 11 Let z(b) = b**3 + 9*b**2 - 25*b - 11. Let f(l) = 2*l**3 + 16*l**2 - 53*l - 21. Let n(d) = -3*f(d) + 7*z(d). Calculate n(-16). -14 Let x(b) be the second derivative of b**4/3 - b**3/6 + b**2/2 + 2*b - 29. Calculate x(1). 4 Suppose 48 + 16 = 2*i. Suppose j + 1 = 4*g, -2*g + 0*g = 4*j - i. Let v(t) = -t**3 + 6*t**2 + 6*t. What is v(j)? -7 Let p(a) = a**2 - 25*a + 29. Let l be 7/(-49)*0 + 23. Give p(l). -17 Let b(l) = 5*l - 39. Let r(v) = -v**3 + v**2 + 2*v + 1. Let w be r(-2). Let y be b(w). Let d(g) = g**3 - 7*g**2 + 7*g. Determine d(y). 6 Let n(t) = t**2 - 7*t + 2. Let j be n(7). Suppose -5*v = -j*v - 6. Let y(o) = o**2 + 2*o - 3. Calculate y(v). 5 Let v(o) = o**3 + 2*o**2 - 5*o - 1. Suppose 13*h - 17*h - 4 = 0. Let f(l) = l**2 + l + 1. Let s(b) = h*v(b) - f(b). Give s(-4). 0 Suppose 0*m - 3*m + 15 = 0. Let h = 14 + m. Let o be 2/(-4)*(-7 + h). Let u(d) = -d**2 - 6*d + 2. Determine u(o). 2 Suppose -24*x + 19*x + 18 = -3*p, 3*p = 12. Let a(f) be the first derivative of -3*f**2/2 + 9*f - 2. Determine a(x). -9 Suppose 9 = 5*v - 1. Let c be (-4)/14 + v/7. Suppose c*t = -t + 1. Let r(i) = 7*i**3 + 2*i - 1. What is r(t)? 8 Let y be -1*(0 - 1)*5. Let z = 2 + y. Suppose -5*x = 5*h + 25, -2*h - x = 3 + z. Let d(p) = -p**3 - 6*p**2 - 7*p - 5. Determine d(h). 5 Let u(b) = -2*b + 1. Let r be u(-1). Suppose -3*y = 4*n - n + r, -5*y - 7 = 4*n. Let a(k) = k + 2 - 3 - k**3 - 3*k**n + 1. What is a(-3)? -3 Let w(a) be the third derivative of a**6/120 + a**5/6 + 3*a**4/8 - 2*a**3 + 4*a**2 - 2. Determine w(-9). -12 Let u(n) = 5*n**3 - 15*n**2 + 6*n - 1. Let v(k) = -9*k**3 + 29*k**2 - 10*k + 2. Let i(t) = 11*u(t) + 6*v(t). Calculate i(-8). 17 Let f(u) be the first derivative of -u**4/4 - u**3 - u**2/2 + 4*u + 4. Suppose -2*j = 3*x - 3*j + 9, x + 4*j = -3. Determine f(x). 7 Let b = -2 + 6. Let j(i) = i + 5. Let o(t) = -10*t - 36. Let y(f) = 8*j(f) + o(f). Calculate y(b). -4 Let a(t) = 3*t + 1. Let n(x) = -13*x - 13. Let b(c) = 4*a(c) + n(c). Suppose 4*d = 5*z - d + 45, -4*d = z - 11. Give b(z). -4 Suppose -3*u = -0*u + 3. Let j(h) = -18*h**3 + 13*h**2 + 4. Suppose q + 28 = -3*q. Let w(z) = -12*z**3 + 9*z**2 + 3. Let c(k) = q*w(k) + 5*j(k). Determine c(u). 7 Let r(m) = 2*m - 1. Let o = 1 + 0. Suppose s = 2*h - 3, 3*h = -2*s - 2*s - o. Let n(f) = -f**2 - 3*f - 1. Let v be n(s). Determine r(v). 1 Suppose -128 = -5*s + 77. Let p = s - 37. Let i(c) = c**3 - 4*c**2 - 3*c + 4. Give i(p). -8 Suppose -72*g + 48 = -60*g. Let i(y) be the second derivative of -y + y**2 + 1/4*y**4 + 2/3*y**3 - 1/20*y**5 + 0. Give i(g). 2 Let q(i) = 238*i**3 - 1 + 6 - 3*i**2 - 239*i**3 + 2*i. Determine q(-4). 13 Let g = -10 - -8. Let q(h) = -13*h - 4. Let p(o) = 4*o + 1. Let c(z) = g*q(z) - 7*p(z). Let n(s) = s. Let y(m) = 2*c(m) + 2*n(m). Determine y(4). -6 Let i = 100 - 65. Suppose -2*r + 2*t + t - 27 = 0, 5*r = t - i. Let p(l) be the second derivative of l**4/12 + 7*l**3/6 + 3*l**2 - 4*l. Calculate p(r). 0 Let x(q) = -q**2 + 5*q. Let u be x(3). Let s(y) = y - 4*y - y + 3 + 24. Let d(v) = -2*v + 13. Let b(f) = 9*d(f) - 4*s(f). What is b(u)? -3 Let j(c) = -2*c - 3. Let s(v) = 3*v + 6. Suppose 2*r - 3*u + 1 = 0, r + 2*u + 8 = -3. Let z(m) = r*j(m) - 3*s(m). Determine z(6). 3 Let g(a) be the first derivative of -7*a**4/4 - a - 52. Let s(b) = b**3 - 6*b**2 + 4*b + 4. Let k be s(5). Calculate g(k). 6 Let i(s) = s**2 + 3*s - 1. Suppose v + 4 = -3*t, -t = 4*v + 8 - 47. Suppose -v = -0*p + p + 3*j, -2*p + 2*j - 6 = 0. What is i(p)? 9 Let q = -81 + 67. Let u be 4/6*(-63)/q. Let k(r) = 2*r. What is k(u)? 6 Let z(d) = -12*d - 135 + 18*d + d**2 + 140. Calculate z(-5). 0 Let i(n) = 11*n**2 + 10*n - 9. Let t(c) = 3*c**2 + c - 1. Let r(o) = i(o) - 4*t(o). Calculate r(6). -5 Let u(o) be the third derivative of o**4/24 + o**3/6 - 24*o**2. Let a be (3 - 6) + 2 + 4. Determine u(a). 4 Let z(g) = 16*g**2 - 2*g + 3. Let x be z(1). Suppose 3*p + x - 2 = 0. Let r(l) = -2*l - 4. Determine r(p). 6 Suppose 5*t - 24 = -9. Let r(c) be the third derivative of -c**5/60 + c**4/8 - c**3/2 + 8*c**2. What is r(t)? -3 Let s(r) = -2*r**2 - 12*r + 27. Let p(x) = -x**2 - 6*x + 13. Let v(m) = -9*p(m) + 4*s(m). Let f
{ "pile_set_name": "DM Mathematics" }
nd the common denominator of 25/4 and 1/(i/(-135)) - -1. 44 Let y be (-87490)/1224 + 1/(-4). Let s be 1/(-1) + (-5875)/(-85). Let u = s + y. What is the common denominator of u and 35/4? 36 Let m(b) = -b**3 + 8*b**2 - 6*b. Let s be -3 - (3 + -3 + -10). Calculate the smallest common multiple of m(s) and 11. 77 Let j(w) = -w**3 + 5*w**2 - 4*w + 4. What is the least common multiple of 11 and j(3)? 110 Let x = -70 - -34. Let h(b) = -19*b**2 - b. Let d be h(1). Calculate the common denominator of -121/12 and (-269)/x + (-5)/d. 36 Suppose -o + 6*o = 30. Let b be 13/7 + (-3)/(-21). Let g = b + o. Calculate the lowest common multiple of 9 and g. 72 Suppose 5*j - 13 - 17 = 0. What is the least common multiple of j and 6? 6 Calculate the common denominator of -29/10 and (-5)/(-2)*8/(-32). 40 Let g be (6/(-5))/(42/(-105)). Suppose 39 = g*j + 9. Calculate the smallest common multiple of j and 8. 40 Suppose -5*t + 29 = 5*z - 3*z, z - 16 = -3*t. What is the smallest common multiple of z and 7? 7 Let t(l) = 3*l - 8. Let x be t(7). Suppose -f - g + x = g, -24 = -2*f - 2*g. Calculate the lowest common multiple of 9 and f. 99 Let k = -83/3 - -28. Calculate the common denominator of k and 44/65. 195 What is the common denominator of (1/(-2))/(14/(-228)) and -47/17? 119 Suppose -7 + 1 = -3*z. Let g be z/7 + 1262/(-7). What is the common denominator of 3/4 and (-3)/(g/194)*-3? 20 Let y = 33 - 30. Calculate the lowest common multiple of y and 69. 69 Suppose -2930 = -5*s - 0*s. Let b be -1 - (s/552 - 2). Let k = b - 1705/138. Find the common denominator of k and -95/6. 12 Suppose 3*t + t - 44 = 0. Let p be 3/(-15) + (-172)/(-10). Let c = -12 + p. What is the least common multiple of c and t? 55 Let y(p) = p**2 - 4*p - 8. Let q be y(6). Suppose r - 5*r = -q. Calculate the smallest common multiple of r and (-2 - -1)/(-2 + 34/18). 9 Let c = -18 + 45. Calculate the least common multiple of 6 and c. 54 Let w = 219760 + -2199447/10. Let x = 912/5 + w. Find the common denominator of 99/8 and x. 40 Suppose 4*w + 6 = 2, 5*b + 2*w + 57 = 0. Let y = -6 - b. Suppose y + 19 = 3*d. What is the lowest common multiple of d and 5? 40 Let f(x) = x**2 - 21*x + 8. Calculate the least common multiple of f(21) and 11. 88 What is the common denominator of 10/60*(-1 - 141) + -1 and -50/27? 27 Let x be (-1 - 44262)/(17/(-113)). Let k = x + -294321. Let t = k - -15493/170. Find the common denominator of 34/7 and t. 70 Calculate the least common multiple of (-2)/13 + (-318)/(-39) and 14. 56 Let f be 4/(-14) + 46/14. Let i = f - -5. Let p = i - 6. Calculate the least common multiple of p and 1. 2 Let a = 2 + 1. Calculate the smallest common multiple of a and 12. 12 Let s(j) = 0*j**3 - j**3 + 14 + 11*j**2 + 2*j**3 - 11*j + 3. Calculate the lowest common multiple of ((-2)/4)/((-1)/18) and s(-12). 45 Let m(i) = i**3 - 11*i**2 - i - 11. Let r be m(11). Let f = r - -11. What is the common denominator of f and ((-6)/(-64))/((-2)/216)? 8 Suppose -4*s = 1 + 7. What is the common denominator of (1057/28)/(3/s) and -71/2? 6 Let h(z) = -2*z + 2. Let s be h(-2). Let q(k) = -k**2 + 7*k + 4. What is the least common multiple of 6 and q(s)? 30 Let m = 12383 - 123727/10. Let y = -3/3275 + -130973/29475. Find the common denominator of m and y. 90 Let n be 4/(-14) + (-37)/(-7). Suppose -4*u - f + 42 = 0, -n*u + 5*f - f = -42. What is the least common multiple of 11 and u? 110 Let u = 3/65 + -83/390. What is the common denominator of u and 9/28? 84 Let n = 5973 + -53690/9. Let k = -73 - -131. What is the common denominator of n and (-1 - 2)/((-15)/k)? 45 Let m = -39 + 61. What is the smallest common multiple of m and 3? 66 Let k(p) = -p + 14. Let s(d) = d**3 - 9*d**2. Let f be s(9). Calculate the smallest common multiple of k(f) and 18. 126 Suppose b - 4*v - 7 = 0, -5*b = -0*v - 4*v - 19. Let d = b + -21. Calculate the smallest common multiple of (-4)/(-18) - 32/d and 6. 6 Let w(n) = -n**3 - 7*n**2 - 7*n - 7. Let b be w(-5). Let o = b + 27. What is the least common multiple of o and 35? 35 Let c = -3351/392 + 33/49. Find the common denominator of c and 3/26. 104 Let s be 1/(1/2) - -17. Let q = s + -11. Calculate the smallest common multiple of q and 9. 72 Calculate the common denominator of -79/2 and ((-5)/17)/1*2. 34 Let r = 1030 - 4207/4. Suppose -4*o + 2 = 22. Calculate the common denominator of r and ((-30)/(-50))/(22/o). 44 Let c = -385/3 + 127. What is the common denominator of c and (-2)/(-20)*(-870)/(-4)? 12 Let f = -132/7 + 142/7. Find the common denominator of -26/11 and f. 77 Let z(d) = -d**2 - 7*d + 6. Suppose -3*g = -c - 76, 0*g - 5*g - 5*c = -100. What is the least common multiple of g and z(-7)? 24 Let x = -21 - -25. What is the least common multiple of x and 16? 16 Let d be ((-139)/2)/(2/(-4)). Let p = -3843/8 + 493. What is the common denominator of 1/(-2) - d/(-6) and p? 24 Suppose -5*w + 185 = -3*p, w - 37 = -0*w - 5*p. Suppose -3*i = 2*d - w, -2*i + 23 = i - 5*d. Calculate the lowest common multiple of 5 and i. 55 Let a = -49542/5 + 8744. Let r = a - -1174. What is the common denominator of -21/4 and r? 20 Let f be 2/5 + 311148305546/(-45140520020). Let v = f - -2/40160605. Let x = -2/281 + v. What is the common denominator of 67/2 and x? 2 Let f = -214703/12 + 17903. Find the common denominator of f and ((-39)/(-4))/((-24)/(-10)). 48 What is the common denominator of 57/7 and ((-2)/(-24))/(15/(-920))? 63 Suppose -13*n + 312 = -0*n. What is the smallest common multiple of n and 6? 24 Let f(y) be the third derivative of y**5/60 - y**4/4 - y**3/6 - 2*y**2. Let v be f(5). Find the common denominator of -7/2 and 458/40 - v/8. 10 Let s be -26*(-1)/(-58)*-22. Let y = s + -2525/406. Calculate the common denominator of 11/6 and y. 42 Calculate the common denominator of 2/(-7) + (-5357)/3080 and 43/20. 40 Calculate the lowest common multiple of 16 and 26/(-12) + 9/54 + 18. 16 Calculate the common denominator of 71/35 and (-4)/(-12)*429/(-6). 210 Let h(l) = 12*l**2 + 2*l + 1. Let a(x) be the first derivative of x**4/4 + 4*x**3/3 - x**2 - 3*x + 1. What is the lowest common multiple of h(-1) and a(-2)? 99 Let r be ((-1)/198)/(1/(-159043)). Let d = r - 7210/9. What is the common denominator of d and 93/8? 88 Let j(d) = -2*d. Let z be j(2). Let g = -5360 + 75077/14. Calculate the common denominator of 565/42 - z/(-14) and g. 42 Let a(b) be the first derivative of -b**2/2 + b + 3. Calculate the least common multiple of 6 and a(-3). 12 Suppose -4*u = -4*o + 32, -3*o - 2*u = -0*o - 39. Let l = 13 + 1. Let h = -7 + l. What is the lowest common multiple of o and h? 77 Let d(k) = k - 5. Let i be (-3 - -1) + -1 + 1. Calculate the smallest common multiple of 17 - (-3)/(-3) - i and d(7). 18 Let x = 6 - 3. Suppose 3*t = 5*a + 2, 5*t - 3 - 11 = x*a. Let s = 121 - 117. Calculate the lowest common multiple of s and a. 4 Let y(d) = -d + 11. Let j be y(7). Suppose -51 = -j*t + 21. Calculate the lowest common multiple of 16 and t. 144 Let m(a) = 29*a**3 - 12*a**2 - 4*a + 3. Let z be m(-8). Let y = z + 218223/14. What is the common denominator of y and 127/12? 84 Let f = 22 - 20. Suppose 28 = -4*n + 3*w + 72, -f*n = 4*w - 22. Suppose 4*z - 10 = -m, -3*m + 2*m = z - 1. Calculate the least common multiple of n and z. 33 Let y be 3/(-9) + 15/(-9). What is the common denominator of 5/7 and (2/y)/(44/68)? 77 Suppose -47 = -3*o - 5*r, 0 = -5*o + 7*r - 3*r + 66. Calculate the least common multiple of 10 and o. 70 Let z be 3/(48/(-34)) - -1. Let c = 848 + -6761/8. Let y = c + z. Calculate the common denominator of 73/18 and y. 36 Let a be (-4)/(-6) + 1691/528. Let g = a - -15/176. What is the common denominator of (41/(-20))/1 + 1 and g? 220 Let x be (-100 + -1)/(3/(-33)). Let h = -637 + x. Find the common denominator of 67/6 and 2/(-5) - h/165. 66 Let q = -137997/16 - -8619. Find the common denominator of -21/8 and q. 16 Suppose 3*j - 53 = 4*l, l - 4*l = -2*j + 36. Find the common denominator of j and -101/10. 10 Let y(m) = m**3 + 8*m**2 + 10*m - 4. Calculate the least common multiple of 24 and y(-6). 24 Let c = 110 - 98. Calculate the least common multiple of 24 and c. 24 Let y = 55 + -143/2. What is the common denominator of -9/7 and y? 14 Suppose 5*y - 6775 = -5*v, 0*y + 2*y + 5396 = 4*v. Let s = -5475/4 + v. Find the com
{ "pile_set_name": "DM Mathematics" }
10:39 PM? 3:59 AM What is 573 minutes after 12:57 PM? 10:30 PM How many minutes are there between 6:45 AM and 11:45 AM? 300 How many minutes are there between 8:55 AM and 11:02 AM? 127 What is 524 minutes after 11:04 AM? 7:48 PM How many minutes are there between 7:09 AM and 8:18 AM? 69 What is 420 minutes before 6:24 PM? 11:24 AM How many minutes are there between 3:32 PM and 1:19 AM? 587 What is 610 minutes after 6:00 PM? 4:10 AM How many minutes are there between 12:49 PM and 12:29 AM? 700 How many minutes are there between 7:44 PM and 12:40 AM? 296 How many minutes are there between 1:52 AM and 4:25 AM? 153 How many minutes are there between 6:45 PM and 2:32 AM? 467 What is 48 minutes before 1:19 AM? 12:31 AM What is 154 minutes before 6:41 AM? 4:07 AM What is 209 minutes before 12:31 AM? 9:02 PM How many minutes are there between 8:37 AM and 4:49 PM? 492 What is 97 minutes after 4:36 AM? 6:13 AM How many minutes are there between 11:13 PM and 12:09 AM? 56 How many minutes are there between 12:15 PM and 4:40 PM? 265 How many minutes are there between 1:11 PM and 8:47 PM? 456 How many minutes are there between 11:24 AM and 1:00 PM? 96 What is 420 minutes before 8:09 AM? 1:09 AM What is 160 minutes before 11:52 AM? 9:12 AM How many minutes are there between 10:19 PM and 10:13 AM? 714 How many minutes are there between 6:45 AM and 10:16 AM? 211 How many minutes are there between 9:28 AM and 4:07 PM? 399 What is 612 minutes before 12:26 PM? 2:14 AM What is 315 minutes before 7:09 AM? 1:54 AM What is 126 minutes before 9:36 AM? 7:30 AM What is 448 minutes before 1:14 AM? 5:46 PM How many minutes are there between 1:42 AM and 7:41 AM? 359 How many minutes are there between 7:01 PM and 4:21 AM? 560 How many minutes are there between 7:50 PM and 10:19 PM? 149 What is 296 minutes after 10:17 AM? 3:13 PM What is 624 minutes before 12:05 AM? 1:41 PM What is 647 minutes before 10:52 AM? 12:05 AM What is 444 minutes before 8:08 PM? 12:44 PM What is 520 minutes after 5:33 AM? 2:13 PM How many minutes are there between 4:19 PM and 3:56 AM? 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{ "pile_set_name": "DM Mathematics" }
prime number? False Is 49771429 composite? False Is 55949 composite? False Is 70125203 a prime number? False Is 4714657 composite? False Is 1179031 composite? True Is 1095373 composite? True Is 1018841 composite? True Is 148197941 a prime number? False Is 11665469 composite? True Is 127445767 a prime number? True Is 106148683 prime? True Is 309317027 composite? False Is 66971747 a composite number? True Is 27282103 a prime number? False Is 1898623 prime? False Is 648367 prime? False Is 595865489 a composite number? False Is 837391 prime? False Is 1830677 a composite number? False Is 20685919 a prime number? True Is 2127929 composite? True Is 157215977 a composite number? False Is 4103669 prime? False Is 768041 composite? False Is 25986937 composite? False Is 1662191 composite? False Is 579454637 prime? False Is 1517357 prime? False Is 69314911 prime? False Is 66475127 a composite number? False Is 16068251 prime? True Is 6457363 prime? False Is 11467 composite? False Is 145695031 a prime number? False Is 46413709 prime? True Is 27939713 a composite number? False Is 120976871 a composite number? False Is 149063081 prime? True Is 22859491 a composite number? True Is 876492863 composite? False Is 224027 prime? True Is 21309571 a prime number? True Is 1278287 prime? True Is 23209 a composite number? False Is 1204583 a composite number? False Is 34015118 a prime number? False Is 196239895 a composite number? True Is 46066301 composite? True Is 32738441 a prime number? False Is 3598691 a prime number? True Is 17724943 a prime number? True Is 4615769 a prime number? False Is 10262377 composite? False Is 147173977 a prime number? False Is 160253 prime? True Is 390463 composite? False Is 110851933 composite? True Is 4358203 a composite number? False Is 5655389 a prime number? False Is 648191 a prime number? True Is 141648079 a prime number? True Is 230285623 prime? True Is 183779 a prime number? False Is 231366773 a composite number? True Is 112100063 a prime number? True Is 20993441 a prime number? False Is 342779 prime? False Is 87039373 a prime number? True Is 1064327 a composite number? True Is 6292073 a prime number? True Is 73626871 prime? False Is 268313411 a composite number? False Is 132042517 composite? True Is 353585 a prime number? False Is 4550563 composite? False Is 903797 a composite number? True Is 15446551 prime? True Is 5391871 a composite number? True Is 39323111 a prime number? False Is 1136951 prime? True Is 99681431 prime? True Is 10151243 prime? False Is 891797 composite? False Is 1640927 composite? False Is 37185547 prime? False Is 4200239 composite? False Is 2978701 prime? False Is 16807253 a composite number? True Is 187000049 composite? True Is 173253947 composite? True Is 225012929 a prime number? True Is 10953862 a prime number? False Is 12495253 prime? True Is 555983 a prime number? False Is 13109743 a composite number? True Is 1359769 composite? False Is 182467 a composite number? False Is 101538761 a composite number? True Is 2690507 composite? False Is 187442789 a composite number? True Is 185200937 a prime number? True Is 51373853 a composite number? True Is 107981 composite? False Is 7228631 composite? False Is 14082077 composite? True Is 544066697 prime? True Is 271697249 prime? True Is 8084693 a prime number? False Is 79689949 a composite number? False Is 549831871 composite? False Is 389317 a composite number? True Is 15412967 composite? True Is 39738602 composite? True Is 7947659 a composite number? True Is 6343163 a prime number? True Is 5809931 composite? False Is 4052733 prime? False Is 182761 composite? True Is 200695277 a prime number? False Is 39997469 composite? False Is 3804623 prime? True Is 17236409 prime? True Is 326463509 composite? False Is 3194459 a prime number? True Is 12909914 composite? True Is 13258381 prime? True Is 26443951 a prime number? False Is 21605693 composite? False Is 4785647 a prime number? True Is 868504543 composite? False Is 10435 composite? True Is 38768231 composite? False Is 5971027 a prime number? True Is 40809089 prime? False Is 7556431 a prime number? True Is 392724323 composite? True Is 166033 a composite number? True Is 67749089 prime? True Is 61570657 a prime number? True Is 285937 composite? False Is 18816397 prime? True Is 181661281 prime? True Is 82318771 prime? False Is 43146317 prime? True Is 40005083 a prime number? False Is 1707779 a prime number? True Is 22837027 prime? True Is 503417669 prime? False Is 20740217 composite? False Is 17001631 a composite number? False Is 9558253 a prime number? True Is 389304677 a composite number? False Is 5606261 a prime number? True Is 378379 prime? True Is 353555729 a prime number? False Is 14716133 prime? True Is 22884461 a composite number? False Is 149603 a composite number? False Is 682901 prime? True Is 289968781 prime? True Is 16050049 a composite number? False Is 463193 a composite number? True Is 3249629 composite? False Is 554196431 a prime number? False Is 1090681645 composite? True Is 255043 prime? True Is 396237677 prime? False Is 176387509 a composite number? False Is 233879 composite? False Is 29227349 a composite number? False Is 2259611 a composite number? True Is 10063187 composite? True Is 45647813 composite? False Is 86292403 prime? True Is 19120663 composite? True Is 114739147 prime? False Is 3644335 composite? True Is 5448983 a prime number? False Is 16375927 composite? False Is 452243 composite? True Is 9329783 prime? True Is 32291591 a prime number? False Is 3218897 a prime number? False Is 68293817 prime? False Is 484543243 composite? False Is 14933729 a prime number? True Is 3195839 prime? True Is 16517359 composite? False Is 1959733 a prime number? False Is 39111211 composite? False Is 4566553 a composite number? False Is 10094683 prime? True Is 473056417 prime? True Is 1655074 prime? False Is 11600987 a prime number? False Is 6558283 a composite number? False Is 117349667 composite? True Is 95280981 composite? True Is 13926013 composite? False Is 1636181 a prime number? True Is 22052449 a composite number? True Is 6545207 composite? True Is 4627261 a prime number? False Is 1220609 a prime number? False Is 1731713 a composite number? True Is 6566279 composite? True Is 28885183 composite? False Is 9696961 composite? True Is 7200899 a prime number? True Is 1732109 prime? True Is 18262945 a composite number? True Is 27354017 a prime number? True Is 16650623 prime? False Is 336491 a composite number? False Is 6600721 composite? False Is 69465437 a prime number? True Is 106773781 a composite number? False Is 5563219 a prime number? False Is 1630039 a prime number? False Is 41549917 composite? True Is 24944455 composite? True Is 5793871 composite? False Is 239127937 composite? False Is 292710379 composite? True Is 47925173 composite? True Is 610397 composite? True Is 6265209 a composite number? True Is 4295563 composite? False Is 9642523 a composite number? True Is 875639 a prime number? False Is 12290281 a prime number? True Is 16749281 a prime number? False Is 5444149 composite? False Is 405908189 composite? False Is 618883 composite? False Is 1852771 a composite number? False Is 3792239 a prime number? False Is 6354449 a composite number? False Is 15731593 a composite number? True Is 1220410871 a composite number? False Is 753997 composite? True Is 1863247 composite? False Is 18994817 composite? False Is 17728999 a composite number? True Is 52021861 a prime number? False Is 72379709 a prime number? True Is 653 a composite number? False Is 971885 a prime number? False Is 562334378 composite? True Is 30353549 a composite number? True Is 52243523 composite? False Is 5972361 a composite number? True Is 670951 a prime number? True Is 5777213 a prime number? False Is 165090347 a composite number? True Is 14552371 a prime number? True Is 15869741 prime? True Is 23172613 composite? False Is 68119991 composite? False Is 137297909 a prime number? False Is 10100663 prime? False Is 558517 a composite number? True Is 17390549 a prime number? False Is 20586953 prime? True Is 193268947 prime? True Is 1036743 composite? True Is 460082741 a composite number? True Is 34411319 prime? False Is 26210491 a composite number
{ "pile_set_name": "DM Mathematics" }
8*s for s. 0 Solve -27 = 11*l + 17 for l. -4 Solve 12*o + 2*o = 28 for o. 2 Solve -15*g + 14*g = -5 for g. 5 Solve -72 - 24 = 12*m for m. -8 Solve 0 = z - 0*z - 3 for z. 3 Solve -524*x = -523*x + 2 for x. -2 Solve -10*g + 24 = -2*g for g. 3 Solve 71 = q + 67 for q. 4 Solve -20 = 8*z - 4 for z. -2 Solve 0 = 4*x - 70 + 66 for x. 1 Solve 12*k = -5*k - 51 for k. -3 Solve -16*v - 22 = -54 for v. 2 Solve 5*p - 5 = 15 for p. 4 Solve -323*b = -297*b - 286 for b. 11 Solve -13*b = 36*b + 49 for b. -1 Solve 122 = 13*c + 109 for c. 1 Solve -131 = 16*r - 83 for r. -3 Solve 54 = s + 58 for s. -4 Solve 0 = -23*a - 857 + 1064 for a. 9 Solve 4*t + 11 = -9 for t. -5 Solve 0 = -r - 56 + 58 for r. 2 Solve 25 = 11*v + 36 for v. -1 Solve 60 = 42*r - 62*r for r. -3 Solve 52 = 17*q - 30*q for q. -4 Solve 0 = 4*y - 3 - 5 for y. 2 Solve -6*c - 11 = 13 for c. -4 Solve -9*k + 5*k + 4 = 0 for k. 1 Solve -44*k = -54*k + 50 for k. 5 Solve -6*b + 42*b = -2*b for b. 0 Solve 77 = 16*x - 19 for x. 6 Solve 0 = -3*a + 2*a for a. 0 Solve -67*k + 12 = -79*k for k. -1 Solve -3*a - 21 = -15 for a. -2 Solve -310 = -78*l + 236 for l. 7 Solve -383 = -38*j - 117 for j. 7 Solve 0 = -25*h + 28*h for h. 0 Solve 2*l = -8*l + 30 for l. 3 Solve -16*r + 54 = 2*r for r. 3 Solve 0 = -4*m - 502 + 482 for m. -5 Solve -q = -6*q + 20 for q. 4 Solve -3*b = 2*b + 25 for b. -5 Solve -4*i = 6*i - 5*i for i. 0 Solve 7*r = 1927 - 1983 for r. -8 Solve m = 14*m - 13 for m. 1 Solve -7*i + 8 + 48 = 0 for i. 8 Solve -4*d + 3*d = -9*d for d. 0 Solve 0 = -26*y + 25*y - 3 for y. -3 Solve 6*r - 4 = 4*r for r. 2 Solve -166 + 118 = 6*q for q. -8 Solve 42*n = -48*n + 90 for n. 1 Solve 14*v = 10*v - 16 for v. -4 Solve -10 + 45 = -7*b for b. -5 Solve 437*t = 439*t for t. 0 Solve 5*g - 2 = -27 for g. -5 Solve r - 160 = -154 for r. 6 Solve -25*y + 41 = -59 for y. 4 Solve -15 + 70 = -11*o for o. -5 Solve 4*f + 55 = -7*f for f. -5 Solve -9 = 13*o + 43 for o. -4 Solve 0*w = 6*w for w. 0 Solve 0 = 5*q + 31 - 11 for q. -4 Solve -8 = 27*r - 31*r for r. 2 Solve 539*f = 544*f + 15 for f. -3 Solve 11*z - 9 = -31 for z. -2 Solve -28*b = -15*b for b. 0 Solve -79 + 124 = -9*v for v. -5 Solve -8*d + 6 - 46 = 0 for d. -5 Solve -9*i - 84 = 12*i for i. -4 Solve -27 = 5*u - 12 for u. -3 Solve 0 = -4*s - 38*s + 126 for s. 3 Solve -3 = -5*o + 22 for o. 5 Solve -9*v + 26 = -1 for v. 3 Solve 28*r = 37*r for r. 0 Solve -9*d = 18*d - 135 for d. 5 Solve -7*v = 26 - 5 for v. -3 Solve 150*t + 240 = 110*t for t. -6 Solve -100 = 16*z + 28 for z. -8 Solve 3*h - 11*h - 24 = 0 for h. -3 Solve -18*u + 4 = 22 for u. -1 Solve 5*t + 19 + 1 = 0 for t. -4 Solve 0 = -10*u + 54 - 4 for u. 5 Solve 4*d = -15 - 5 for d. -5 Solve -11*r + 175 - 109 = 0 for r. 6 Solve 2*d - 11*d - 9 = 0 for d. -1 Solve -8 + 12 = -2*v for v. -2 Solve 15*s = 14*s - 3 for s. -3 Solve 8*o + 12 = -20 for o. -4 Solve 71*d - 6 = 69*d for d. 3 Solve 0 = -2*a - 11*a - 13 for a. -1 Solve -3*j = -0*j for j. 0 Solve -27*j = -22*j - 20 for j. 4 Solve -5*q - 20 = -0*q for q. -4 Solve -13 - 7 = 4*y for y. -5 Solve 396 = 125*z - 854 for z. 10 Solve -20 = 7*f - 6 for f. -2 Solve -5*f - 27 = 4*f for f. -3 Solve -6*x - x - 35 = 0 for x. -5 Solve 19*q = 14*q - 20 for q. -4 Solve 0 = 5*d - 4878 + 4903 for d. -5 Solve -27*h + 4 = -28*h for h. -4 Solve 12*b - 8*b = -4 for b. -1 Solve -47*s = s - 288 for s. 6 Solve 4*f + 215 - 203 = 0 for f. -3 Solve 0 = n - 13 + 8 for n. 5 Solve 12*o - 42 = -9*o for o. 2 Solve 0 = 862*i - 873*i - 22 for i. -2 Solve -22*f + 20*f = -18*f for f. 0 Solve 2*j + 9 = 3 for j. -3 Solve 0 = 44*k - 61 + 17 for k. 1 Solve -433*x = -423*x + 100 for x. -10 Solve 40*u = 39 + 121 for u. 4 Solve 26 - 30 = -a for a. 4 Solve -3 = 10*y + 37 for y. -4 Solve 29*g - 56*g + 135 = 0 for g. 5 Solve -18 + 2 = 4*d for d. -4 Solve 176*o = 177*o for o. 0 Solve -3*u - 25 = 2*u for u. -5 Solve -151*o = -161*o - 60 for o. -6 Solve 8*t + 192 - 152 = 0 for t. -5 Solve 13*w - 7 + 7 = 0 for w. 0 Solve 198 = 109*i - 43*i for i. 3 Solve 0*p - 4 = -p for p. 4 Solve 55 + 10 = -13*h for h. -5 Solve 466*i = 465*i - 3 for i. -3 Solve -3*i + 20*i = -5*i for i. 0 Solve -64 - 6 = -35*w for w. 2 Solve -26*u - 54 = -17*u for u. -6 Solve 0 = -3*s + 7*s - 4 for s. 1 Solve 9*g - 191 = -182 for g. 1 Solve -4 = 6*g - 10 for g. 1 Solve 4*k - 5 = 11 for k. 4 Solve 97 - 91 = -2*b for b. -3 Solve -5 = -10*x - 25 for x. -2 Solve -4*b = -31 + 51 for b. -5 Solve -211 = 2*y - 197 for y. -7 Solve 138 = -80*t + 57*t for t. -6 Solve -3 = -7*z - 38 for z. -5 Solve -3*h + 33 - 27 = 0 for h. 2 Solve 4 - 20 = -4*t for t. 4 Solve 94 = 29*l - 22 for l. 4 Solve -95*j + 14 = -93*j for j. 7 Solve 6*u = 7*u + 8 for u. -8 Solve 14 = 10*i + 34 for i. -2 Solve -w + 0*w - 4 = 0 for w. -4 Solve 28*t - 27*t + 2 = 0 for t. -2 Solve -3*h - 3 = 6 for h. -3 Solve -5*d - 30 + 25 = 0 for d. -1 Solve 18 = -14*s - 52 for s. -5 Solve 36 = 71*a - 65*a for a. 6 Solve 257*s + 25 = 252*s for s. -5 Solve -2*x - x = 6 for x. -2 Solve 84*x + 56 = 92*x for x. 7 Solve 140 - 44 = -16*u for u. -6 Solve -8*t = -4536 + 4576 for t. -5 Solve -11*d + 6*d = 0 for d. 0 Solve -16 = -5*f - 26 for f. -2 Solve -17*c - 4 = -89 for c. 5 Solve d - 5 = -6 for d. -1 Solve -656 + 636 = -5*h for h. 4 Solve -44 + 49 = i for i. 5 Solve 3*k = -5*k + 32 for k. 4 Solve -13*b + 76 = -51*b for b. -2 Solve 0 = -w - 0*w + 6*w for w. 0 Solve 4 = -43*y + 44*y for y. 4 Solve -3*n - 39 = -30 for n. -3 Solve 0 = -5*o - 6 - 19 for o. -5 Solve -37 = -14*m - 9 for m. 2 Solve 0 = -2*f - 6*f + 32 for f. 4 Solve -191*m - 36 = -209*m for m. 2 Solve -13*q + 11*q - 4 = 0 for q. -2 Solve -26*f + 28 = -33*f for f. -4 Solve -110*n = -108*n + 8 for n. -4 Solve -15*y = -16*y - 8 for y. -8 Solve 0 = 81*c + 107 + 217 for c. -4 Solve -12 = -5*l + l for l. 3 Solve -202*v = -195*v + 42 for v. -6 Solve 18*m = 9*m + 63 for m. 7 Solve -5285 = -13*p - 5363 for p. -6 Solve -186*d + 188*d + 4 = 0 for d. -2 Solve 135*w = 134*w - 4 for w. -4 Solve 11 = 2*a + 15 for a. -2 Solve 12*r + 10 = -2 for r. -1 Solve -9*y = 19 + 44 for y. -7 Solve -5 - 23 = -7*j for j. 4 Solve 90 = -13*k - 32*k for k. -2 Solve 10*i + 16 = -24 for i. -4 Solve 23*a = 17*a - 24 for a. -4 Solve 0 = 15*u - 39 - 126 for u. 11 Solve 0 = -3*j + 94 - 85 for j. 3 Solve -10*l - 90 = -80 for l. -1 Solve 235 = -52*y - 77 for y. -6 Solve 39*k + 50*k + 712 = 0 for k. -8 Solve -68*d + 10 = -70*d for d. -5 Solve 0*n + 4*n = 24 for n. 6 Solve 4 = -11*b + 13*b for b. 2 Solve 36 - 12 = 12*s for s. 2 Solve 55*v = 52*v - 3 for v. -1 Solve -17*g + 22*g = 5 for g. 1 Solve 0 = -5*f + 1 - 21 for f. -4 Solve -60*o - 3 = -57*o for o. -1 Solve -2*c + 57 - 65 = 0 for c. -4 Solve 0 = -64*q + 54*q + 20 for q. 2 Solve 3 + 3 = 6*t for t. 1 Solve 0*v = 4*v + 20 for v. -5 Solve 12*l - 2 - 10 = 0 for l. 1 Solve 46*h - 42*h + 4 = 0 for h. -1 Solve 146 = -31*r - 164 for r. -10 Solve 3*a - 16 = -4 for a. 4 Solve -18*z = -16*z for z. 0 Solve -25*d + 2 - 52 = 0 for d. -2 Solve -70*g = -295 - 265 for g. 8 Solve -6 = 20*a - 46 for a. 2 Solve 0 = 4*l + 47 - 51 for l. 1 Solve 3*p + 8 = -1 for p. -3 Solve -4*h + 30 = -34*h for h. -1 Solve 14*h + 25 = 9*h for h. -5 Solve -4*i - 18 = 5*i for i. -2 Solve 0 = 14*x - 6*x - 0*x for x. 0 Solve 139 = 43*m + 10 for m. 3 Solve h = -5*h + 12 for h. 2 Solve 48 - 50 = -2*m for m. 1 Solve -2*s = -255 + 253 for s. 1 Solve 42 = -8*t + t for t. -6 Solve 12*d = -21*d + 66 for d. 2 Solve 30 = -23*u + 17*u for u. -5 Solve 80 = -29*l + 39*l for l. 8 Solve 152 = -41*x + 3*x for x. -4 Solve -36*o + 0*o = -72 for o. 2 Solve -14*t - 2 = 40 for t. -3 Solve -11*s - 8 = -7*s for s. -2 Solve 0 = -4*q + 20 for q. 5 Solve -32 = 11*t + 12 for t. -4 Solve 21*s + 11*s + 128 = 0 for s. -4 Solve 655*r - 664*r = 9 for r. -1 Solve 24*p + 44 = 20 for p. -1 Solve 0 = -54*n + 20*n - 272 for n. -8 Solve -46*l + 42*l = 4 for l. -1 Solve 38*y - 15 = 33*y for y. 3 Solve -9*x - 65 = 4*x for x. -5 Solve -33 = 16*l + 31 for l. -4 Solve -1369 + 1362 = 7*a for a. -1 Solve -7*u - 6 = -5*u for u. -3 Solve 16*n - 32 = 16 for n. 3 Solve 0 = -2*d + 16 - 6 for d. 5 Solve -16*k + 45 = -k for k. 3 Solve 7*l + 9 - 44 = 0 for l. 5 Solve 25 = -3*n + 8*n for n. 5 Solve 4 = 82*s - 81*s for s. 4 Solve -2*c - 2*c = 0 for c. 0 Solve -96*x + 104*x = 48 for x. 6 Solve 32*j - 15*j = 0 for j. 0 Solve 0 = -33*m + 3
{ "pile_set_name": "DM Mathematics" }
75. Let v = w - h. What is the common denominator of v and -13/14? 56 Let j = 52 + -47. Calculate the smallest common multiple of 31 and j. 155 Let t(x) = x**2 + 4. Let w be -2*21/30*-5. Let d = 13 + w. Calculate the least common multiple of t(-4) and d. 20 Let u(p) = 3*p**2 - 6*p. What is the common denominator of 55/4 and u(5)? 4 Suppose -o - 2*o = 3. Let i be o/3 - 113396/12. Let x = 94383/10 + i. Calculate the common denominator of 53/8 and x. 40 Suppose 14 = h + 4*x, 0*h + 5*x - 13 = h. Let c = 53 + -31. Calculate the smallest common multiple of h and c. 22 Calculate the common denominator of -75/14 and 6/(-9) + 169/24. 56 Suppose -126*v = -121*v - 105. Find the common denominator of v and 8/25. 25 Let q be (-8)/(-2)*6/(-4). Let p be (-72)/20*15/q. Calculate the lowest common multiple of 20/3*p/6 and 11. 110 Let g = 16 + -8. Let r = g - -10. Calculate the smallest common multiple of (6/9)/((-2)/(-30)) and r. 90 Suppose -6*g + 16 = -8. Calculate the least common multiple of g and 28. 28 What is the common denominator of 2/2*171/(-81) and -46/5? 45 Suppose -3*b + 1 = -5. Suppose 0*t = t + b. Find the common denominator of 76/3 and (-4 + t)*-8 + -1. 3 Let z = 1170 + -2060. Let t = -2639/3 - z. Calculate the common denominator of -71/6 and t. 6 Let j = 41417/6 - 6924. Find the common denominator of -4 + 2 + 316/(-16) and j. 12 Suppose -t - 4*k = 3*t, 0 = 3*t - 5*k - 32. Suppose 4*l + t*b + 8 = 0, 3*l - b - 18 = 2*b. Calculate the lowest common multiple of 4 and l. 4 Let u be 9 + (-4 - -3) + 1. Find the common denominator of ((-138)/(-9))/(20/u) and (-39)/(-7) - (-2 + 1). 70 Let i = 312947738 + -1386984364077/4432. Let j = i + 4/277. Find the common denominator of j and 29/20. 80 Let h(v) = 6*v - 2. Let k = 7 + 3. What is the smallest common multiple of k and h(2)? 10 Calculate the smallest common multiple of 38 and 3 + 50/(-18) - (-208)/36. 114 Let l = 46775/12 + -3909. Find the common denominator of l and 11/18. 36 Suppose -140 = -d - 3*d - 5*v, 3*d - 4*v = 105. Let n = -25 + d. Let w = n + -7. Calculate the lowest common multiple of w and 11. 33 Let i = -1/4267 - -200571/93874. Find the common denominator of i and ((-2)/(-5))/((112/2300)/(-1)). 154 Let s = 15282/8393 - 2/763. What is the common denominator of s and -27/8? 88 What is the common denominator of 113/14 and ((-6)/20)/(-3)*(-53)/(-1)? 70 Suppose 3*k = -2*f + 43, 4*f + k = 3*f + 21. Let s(z) = 4*z**2 - 2*z**2 - z**3 - 6*z**2 + 3*z - 2. Calculate the lowest common multiple of f and s(-5). 40 Suppose -32 = -3*a + 40. What is the least common multiple of 9 and a? 72 Let a = 45 + -133/3. Calculate the common denominator of a and 9. 3 Let d be (-8)/(-1) + -2 + -2. Let p = 10 - d. Let q(b) = 2*b - 1. What is the smallest common multiple of p and q(2)? 6 Let u = -2 - -8. Suppose -2*w + 16 = -0*w. What is the smallest common multiple of w and u? 24 What is the lowest common multiple of 9 and (-2 - -9)*(2 + 1)? 63 Let q be 2*5*3/6. Suppose -2*y - 2 = d - 3, 5*d = 4*y + q. Calculate the common denominator of -44/9 and d - 1 - (2 + -1). 9 Suppose 410 - 50 = 9*u. Calculate the smallest common multiple of u and 25. 200 Let m(i) = i**3 - 9*i**2 + 17*i - 1. What is the smallest common multiple of 1*(5 - 3) + 14 and m(7)? 80 Suppose -2*m - 3*m = -80. Let h = 11 - 8. Let k = h + 5. Calculate the lowest common multiple of m and k. 16 Let q = -49/6 - -215/12. Find the common denominator of ((-2)/10)/(-1)*-8 and q. 20 Suppose -22*x + 19*x = -78. What is the lowest common multiple of 18 and x? 234 Let g(r) be the first derivative of r**3/3 - 4*r + 1. Calculate the smallest common multiple of 11 and g(3). 55 Calculate the common denominator of -34/15 and (305/60 + -5)/(9/(-248)). 135 Suppose -2*w + 52 = 4*i, 5*i - 55 = -3*w - 2*w. Calculate the lowest common multiple of i and 6. 30 Let f = 14 - 8. Suppose 35 = b + 5*t, -79 + 22 = -3*b + t. Suppose -b = 2*h - 3*h. Calculate the least common multiple of f and h. 60 Let u = -1137697/18 + 63178. Let q = u - 28/9. Find the common denominator of 83/4 and q. 4 Let d = -87665/5748 - -2/1437. Calculate the common denominator of -53/8 and d. 8 Let m be (286/246)/(16/(-57)). Let o = 75/41 + m. Find the common denominator of o and 39/2. 16 Let c = 169/7 + -1343/42. Let p be (38452/(-16)*1)/(-1). Let x = 86687/36 - p. Find the common denominator of x and c. 18 Let g = -73 - -79. What is the lowest common multiple of 12 and g? 12 Suppose -5 = -y - 3*y - 5*p, -2*y + 4*p = -22. Suppose 8 + 7 = y*l. Calculate the least common multiple of 6 and l. 6 Let o be 4 - 7/(7/(-2)). What is the least common multiple of 6 and 6/(-9)*(-9)/o? 6 Calculate the common denominator of -2 + (-318)/(-27) + -2 and -59/5. 45 Let n(v) be the first derivative of -v**4/4 - 2*v**3/3 - v**2 + 2*v + 2. Suppose -10 = -5*y + 30. What is the smallest common multiple of y and n(-2)? 24 Let z(a) = 2*a**2 - 4*a - 8. What is the smallest common multiple of 12 and z(5)? 132 Suppose 4*f + 232 = 2*b, -4*f - 592 = -4*b - b. What is the common denominator of 5/12 and b/64*(-14)/(-3)? 12 Suppose 0 = 6*j - j - 550. Calculate the common denominator of (268/j)/(12/15) and (1 + 0)/(200/10). 220 Suppose -6*s - 16 = -2*s - 4*l, 0 = -5*s + l. What is the lowest common multiple of 13 and s? 13 Let h = -357679/12 - -78133/3. Let z = 3781 + h. Let v = 284 + -2530/9. Calculate the common denominator of z and v. 36 Let k = 56634913 + -1245468145/22. Let d = 22720 - k. Let q = 1667 - 20023/12. Calculate the common denominator of q and d. 132 Let c be 8/(-40) + 14374/20. Let j = 678 - c. What is the common denominator of j and 113/10? 10 Let y be (-52)/14 + (-16)/56. Calculate the smallest common multiple of ((-18)/(-24))/((-1)/y) and 10. 30 Let t = 30 + -25. What is the least common multiple of t and 17? 85 Let u = 39249/4565 + 2/913. Let p be (-20)/110 - (-603)/(-11). What is the common denominator of (-194)/110 + (-22)/p and u? 55 Let z = -1781827833/560870 + -7/56087. Let q = z - -3174. Let x = -5/704 - -9529/3520. Find the common denominator of q and x. 10 Let z = 39 - 18. What is the smallest common multiple of z and 30? 210 What is the common denominator of (-38)/(-24)*9/(-2) and 15/8? 8 Suppose -3*f = 2*b - 134, 2*f = 5*b - 17 + 100. Find the common denominator of (0 + 5/(-180))/((-3)/66) and (-130)/f + -1 + 2. 198 Let i = 3 + -8. What is the common denominator of ((-207)/10)/(3/i) and 27/4? 4 Let h be 360/27*(-12)/10. What is the common denominator of 11/(-18) + (h - -13) and 53/8? 72 Let r(y) = 11*y**2 + y. Let n be r(-1). Let w = -5 + n. What is the lowest common multiple of w and 2? 10 Let d(k) = 5*k**2 + 3*k. Suppose 55*t + 564 = 61*t. What is the smallest common multiple of t and d(-2)? 658 Calculate the common denominator of -109/10 and 0 + (-53)/22 - -1. 110 Let v(c) = c**3 - 6*c**2 + 2*c - 8. Let y = -5 - -14. What is the least common multiple of y and v(6)? 36 Let b(t) = -t**2 - 6*t. What is the smallest common multiple of 7 and b(-3)? 63 What is the common denominator of 79/32 and 3 - 2 - 15/9? 96 Suppose 15 + 9 = 4*t. What is the smallest common multiple of 2 and t? 6 Let r = 359/66 - 5/462. What is the common denominator of -41/13 and r? 91 Suppose 5*g + b - 60 = -4*b, 0 = 5*g + b - 52. Let x(k) = k**3 + 5*k**2 - 7*k + 2. Calculate the lowest common multiple of (-38)/(-18) - g/90 and x(-6). 8 Let t(s) = s**3 + 5*s**2 + s - 4. Calculate the smallest common multiple of 10 and t(-4). 40 Let c be (-4)/3*(-15)/2. Suppose 5*j + c = 70. What is the smallest common multiple of 16 and j? 48 Let y = -36541/16 + 2282. Calculate the common denominator of y and -19/12. 48 Let x(j) = -9*j**3 + 2*j**2 + j + 2. Let q be x(2). Calculate the common denominator of 4/3 and q/(-11) + -5 + 2. 33 Let k be 1*2*15/(-6). Let n = k + 8. Suppose 3*g + t = 3, -4*g + 2 = n*t - t. Calculate the least common multiple of 2 and g. 2 Suppose 5*k - 2*v - 106 = 0, 0 = -5*k - 2*v + 119 - 25. What is the lowest common multiple of 22 and k? 220 Let n(s) = -s + 12. Let j be n(12). Suppose j = 2*v - 30 + 6. Calculate the least common multiple of 20 and v. 60 Suppose -4*j = -18 + 2. What is the lowest common multiple of 20 and j? 20 Calculate the common denominator of 55/6 and 0 - (2780/48)/(-5). 12 Let d = 9 + 5. What is the smallest comm
{ "pile_set_name": "DM Mathematics" }
). What is the closest to -2 in 0.4, 4, 1/5, t? t Let m be 6 - 7/((-7)/(-2)). Suppose -5*p + g + 3 = -m, -13 = p - 5*g. Suppose p + 18 = 4*n. What is the nearest to 1 in n, -4, -2/13? -2/13 Suppose 3*d + 8 = -g, -30 = 3*d + 2*d + 5*g. Let q = -1.37 - -1.37. Let h = -0.9 + -3.1. Which is the closest to q? (a) d (b) 2 (c) h a Let h = -443/651 + 3/217. Which is the closest to h? (a) -1 (b) -1/14 (c) 0.2 (d) -2 a Let f be (-355)/230*(-6)/(-3) + 3. Let x = -59/28 - -9/4. What is the nearest to -3 in f, x, -4? -4 Let t = -229 + 262. What is the nearest to -1 in -4/3, -3, t? -4/3 Let m = 0.2 + -0.2. Suppose -n = -o + 81 - 83, -1 = n + 2*o. What is the closest to m in 4/5, -2/3, n? -2/3 Let z = -0.2132 + 0.2132. Which is the closest to -3? (a) z (b) 155 (c) -5/6 c Let p = -14 - -13.5. Let w = 1.02 + -0.42. What is the nearest to w in 0, 1/5, p? 1/5 Let p = 34.12 - 35. Let k = -0.12 + p. Let s = 15.55 + 0.45. What is the nearest to -2/5 in k, 1, s? k Suppose -y + 5 = 4. Let t = y - -4. Let x = 50/7 + -271/35. Which is the nearest to -1? (a) x (b) t (c) 0 a Let f = 0.6 + -1. Suppose 0*d = 3*d, -5*d = -4*o + 20. Which is the nearest to 2? (a) -7 (b) o (c) f c Let k = 7 + -8. Let q = k - -2.3. Let p = 1.2 - q. What is the closest to p in -1/8, 3/2, 1/3? -1/8 Let y = -359/3 + 121. Let v(p) = p**3 - p**2 + 2. Let x be v(-1). Which is the nearest to x? (a) -1 (b) -1/5 (c) y b Let m be 22 + -20 + 15/(-12). Which is the nearest to m? (a) -0.1 (b) 2/5 (c) 0.1 (d) 3/14 b Let f = 300.94 + -301. Which is the nearest to -2/3? (a) -3 (b) f (c) -2/7 c Let q = -1.09 + 12.29. Let j = -0.2 + q. Let y = -8 + j. Which is the nearest to -1? (a) -0.1 (b) 5 (c) y a Let d(r) = r + 22. Let n be d(-7). Let t be -5*(5 + (-81)/n). What is the closest to -1/12 in 2/11, -4, t? 2/11 Suppose -6*g + 55 - 25 = 0. Suppose -6*x = -4*d - 2*x + 12, -2*d - g*x - 29 = 0. Let p = -0.7 - -0.2. Which is the closest to 2/9? (a) 2/11 (b) p (c) d a Let k = -1 + 4. Let m(v) = -2*v + 6. Let x be m(k). Let b be ((-3)/(-7))/(((-72)/(-21))/(-6)). What is the nearest to 0 in -2, b, x? x Let b = 1812 + -1812. Let h = -326/9 - -36. What is the nearest to b in h, -0.03, 0.3? -0.03 Let b be (-48)/72*(30/(-4) - 0). What is the closest to -13 in b, 4, 2/9? 2/9 Let q = 1571 + -1569. Which is the closest to q? (a) 0 (b) -12 (c) 2/5 c Suppose 267 = -2*v + 263. What is the closest to -0.1 in -0.3, v, -2/13? -2/13 Let r be (-9)/(-3) - ((-244)/(-22) - 7). Which is the closest to 3? (a) 0 (b) r (c) -0.5 a Suppose -5*i - 5 = -l, -8*i - 5 = -l - 6*i. Let u = -2083/18 + 231/2. What is the nearest to -1 in -0.7, l, u? -0.7 Let m = 2.52 - 117.52. Let w = m + 114.8. What is the closest to 1 in 0.07, 0.1, w? 0.1 Let m be 1 + 2/3 + -1. Let c = 13 + -12.79. Let y = -0.31 + c. What is the nearest to 0 in y, -3, m? y Let p be (68/12 + -3)/4. Which is the closest to 10? (a) 4 (b) p (c) -5 a Suppose 69*z - 56*z - 13 = 0. Let r = -0.2 - 0.3. Let l = 0 - r. Which is the closest to 1? (a) z (b) -4 (c) l a Let w = -425 - -425.4. Let r be 34/9 - (-4)/18. Let j = r + -3. What is the closest to 1 in w, -0.4, j? j Let z be 20 + 41256/(-2072) + 2/(-14). Which is the closest to 2? (a) -0.2 (b) 0 (c) z b Let y = -2.856 - 1.144. What is the nearest to -1/4 in y, 2, -4/3, 14? -4/3 Let c(n) = -2*n + 3. Let p be c(2). Let u = -0.283 - 1.717. What is the closest to u in -0.4, 2, p? p Let s = -86.5 - -87. Which is the nearest to 0? (a) s (b) 12 (c) 4 (d) 5 a Let f = -23.5 - -22. Let v = f - -0.5. Let t(s) = -s**2 + 6*s. Let x be t(6). Which is the nearest to v? (a) 4 (b) x (c) 0.4 b Let a = 23/4 + -107/20. Let n = 0.66 - 5.66. Let l = -0.06 + 5.06. What is the closest to 2/15 in a, l, n? a Let y = -8.902 - -3.902. Let r = 31 + -43. Which is the nearest to 2? (a) y (b) r (c) 0.4 c Let h be 3/(-2) + (0 - -2). Let s = -326.4 + 326.7. What is the nearest to 0 in -1, s, h? s Let z(j) = -j**3 - 6*j**2 - 2*j - 8. Let d be z(-6). Let q = 375 - 2999/8. What is the closest to -0.01 in q, -2, d? q Let u be 0*(-1 - 1/(-2)). Suppose -5*v + u*v = 0. Which is the nearest to v? (a) -0.1 (b) -2/11 (c) 5 a Suppose -2*u = -8 + 30. Let w(l) = l + 6. Let s be w(u). Which is the nearest to 0.05? (a) 0 (b) -0.3 (c) s a Let r = -0.171 + 2.171. Which is the closest to r? (a) -0.3 (b) -4/5 (c) 2/7 c Let y = 1.06 + -1.26. What is the nearest to y in -0.3, -2, 0.9? -0.3 Let s be (8 + -10)*(-7)/(-2). Let z be s/(28/128)*1. Which is the nearest to z? (a) 4 (b) -2 (c) -4 c Let x be 9/(-3)*4/18. Let y = -23.3 - -21.3. Let u = -15.5 - -15. Which is the closest to x? (a) y (b) u (c) 1/4 b Let f = 0.5 - 2.5. What is the closest to 3/7 in 2, f, 4/15? 4/15 Let q be 6/16*(-3)/((-189)/(-42)). Which is the closest to 216? (a) -4 (b) q (c) 1/2 c Suppose 6 + 4 = -2*t. Let n = -3 - -3.1. Let h = -131/2 - -265/4. Which is the closest to -0.2? (a) h (b) t (c) n c Let a = -1/52 + 113/468. Let c be (41 - 44)/(1*-3). What is the nearest to c in -0.02, 2/7, a? 2/7 Let q = 5 + 0. Let i = 0.6 - 0.66. Let h = -0.302 + 0.302. What is the closest to 2/3 in q, h, i? h Suppose -84 = -2*x - 2*r, x + 2*r - 30 = 16. Let a = 2/9161 - -1035187/27483. Let k = a - x. What is the nearest to 1 in -0.1, 0, k? 0 Let x = 1.43 - 0.43. Which is the closest to x? (a) 1 (b) -11 (c) -1 a Let n = 14 - 16. Let m = -126 - -131. What is the nearest to -1 in n, m, -4? n Let n = 0.1363 + -0.1363. Which is the closest to 0.1? (a) n (b) -2 (c) 2/21 (d) -0.3 c Let u = -0.08 + 0.18. Let a = -28 - -41. Let i = a + -16. What is the closest to u in -0.4, i, 2? -0.4 Let k = -7/4 + 13/12. Let i = 7.68 - 0.18. Let o = i - 8. What is the closest to k in -0.1, o, -1? o Let u = 1317 + -1317.5. What is the closest to 4 in -17, -1, u, 0.1? 0.1 Let y = 68196/89 - 196171768/256053. Let w = y - 2/137. Let h = -1 - -4. Which is the closest to -2? (a) -8 (b) w (c) h b Let d = 124 - 118.9. Let f = d + -2.1. What is the closest to -1/3 in 0, 0.2, f? 0 Let m = 137/14 + -19/2. Let d be (9/12)/((-75)/(-10)). Which is the closest to -4? (a) 5 (b) m (c) d c Let v be (-2)/(-6) - (-1)/(-6). Let f = 125 + -1. Let x = -123 + f. What is the nearest to 0.3 in x, 1/4, v? 1/4 Let c = 0.15 - 0.12. Let h = c + 0.07. What is the closest to 1 in -0.3, -0.4, h? h Let x = 1338 + -1337. Let q = -1.8 - 0.2. What is the closest to 0.1 in -0.5, q, x? -0.5 Let q = 0.33 - 0.43. Let a be ((-1)/5)/((-192)/(-80)). What is the closest to -0.1 in q, a, 0? q Let c(s) = -s**3 + 12*s**2 - 12*s + 14. Let w be c(11). Suppose q - 2*x = 6*q + w, x = -4. What is the nearest to 0.3 in 0.2, q, -2? 0.2 Let n = 7 + -8. Let y = 50 + -50. Let r be -2*2*3/14. Which is the closest to n? (a) -0.1 (b) r (c) y b Let r = -10 - -3. Let o = r - -8. Suppose -3*j + 10 + 5 = 0. Which is the closest to 2/5? (a) j (b) 4/5 (c) o b Suppose 2*s - 6*s + 19 = -3*f, 3*s = -f - 2. Which is the nearest to -1/4? (a) f (b) 0.13 (c) 0.3 (d) -0.5 d Let q = -4.4 - -4. Let t = 2188 - 2187.9. What is the closest to 0.1 in 1/8, t, q? t Let x = -2 - 2. Let u = -6588 + 6589. Which is the closest to u? (a) x (b) 9 (c) -2 c Suppose -l + 16*h + 15 = 21*h, 4*l + 4*h = 12. What is the nearest to l in -4, -3, 2/11, 3/5? 2/11 Let p(w) = 6*w**2 + 5*w + 12. Let o(g) = -5*g**2 - 4*g - 11. Let n(t) = 7*o(t) + 6*p(t). Let s be n(-3). Which is the nearest to s? (a) 1 (b) -4/3 (c) 1/4 b Let r = -4.3 - -4. Let s = 284 - 285. Which is the nearest to 3? (a) r (b) 2/5 (c) s b Let w be 2 - (9 + (-49)/5)*-2. Let b be 5*(12/(-10))/3. What is the closest to -2/9 in b, 5, w? w Let g = 1/51 + 47/204. Let u = 0.003 - 0.103. What is the nearest to u in 5, -0.2, g? -0.2 Suppose 73 = -28*n - 11. Which is the nearest to -0.2? (a) 5 (b) 4 (c) n c Let f = 8 + -5. Let s = -85 - -90. What is the nearest to 1/3 in 0.3, f, s? 0.3 Suppose -4*s - 4*w + 32 = 0, 4*s - 7 + 0 = w. Which is the nearest to 2? (a) -2 (b) s (c) -6 b Let h = -0.65 - -2.65. Which is the closest to -3/4? (a) h (b) -2 (c) 0 (d) 1 c Let a = -28316762/7265505 - 2/186295. Let c = -42/13 - a. What is the nearest to c in 0.1, 2/9, 1? 1 Let g = 0.647 + -0.547. Let p = -0.4 - 0.6. Let n = p + 1.5. What is the nearest to -2/9 in -5, n, g? g Let p(u) = -u**3 - 7*u**2 -
{ "pile_set_name": "DM Mathematics" }
(8)))**2. 2475 Simplify -3 + sqrt(288)*-1 - (4*sqrt(10)/sqrt(5) + 2). -16*sqrt(2) - 5 Simplify ((sqrt(156) + -2*sqrt(156))*4 - sqrt(156) - sqrt(156)*1*-5)/((sqrt(588) - (sqrt(588) + sqrt(588)*-2)) + (-2*sqrt(132))/sqrt(11)). 0 Simplify -2 + -5*(1 + 3 + 2*sqrt(475)). -50*sqrt(19) - 22 Simplify (3 + 3 + (sqrt(637) - (sqrt(637) + -1)) + (sqrt(637) - ((sqrt(637) - (sqrt(637)*2 + sqrt(637))) + sqrt(637) + sqrt(637)) - sqrt(637))*-3)**2. 49 Simplify -3 + (4*sqrt(5)*-2)**2 + 6*sqrt(55)/sqrt(11). 6*sqrt(5) + 317 Simplify 0 + -4*(-5 + -2 + (sqrt(325) - 2*sqrt(325))). 28 + 20*sqrt(13) Simplify (3*(sqrt(15) + sqrt(15)*1)*2)/(5*-2*sqrt(108)). -sqrt(5)/5 Simplify 3*(sqrt(180) + -4*sqrt(180) + -4 + (-5*(sqrt(180) + 3 + sqrt(180)))**2 + sqrt(180)). 5364*sqrt(5) + 54663 Simplify (sqrt(209)*2*-4)/(sqrt(110)/sqrt(90)) + ((-1*sqrt(152))/sqrt(8) + sqrt(228)/(sqrt(12) + sqrt(72)/sqrt(6)))**2. -24*sqrt(19) + 19/4 Simplify 4*-3*(2*sqrt(242) - sqrt(242)) - ((sqrt(96)/sqrt(27))**2 - (3*(sqrt(32) + sqrt(32) + sqrt(32)*-2 + sqrt(32)))**2). -132*sqrt(2) + 2560/9 Simplify (-5 + (-3 + sqrt(10)/sqrt(2))*6*-4)**2. -3216*sqrt(5) + 7369 Simplify 1*(-1 + ((sqrt(171) - (sqrt(171) + 1 + sqrt(171) - sqrt(171))) + sqrt(171) - sqrt(171))**2 + 3 + 2). 5 Simplify (5 + 1*(-3*sqrt(3) + -5 + 3))**2. -18*sqrt(3) + 36 Simplify 6*(5 + (-3*sqrt(108)*2*-4)**2). 373278 Simplify (0 + (5 + sqrt(2736) + 1 + sqrt(2736))*-3)**2. 2592*sqrt(19) + 98820 Simplify ((-2 + sqrt(19) + 2)*-3 - 6*(sqrt(684) + 1)) + -1. -39*sqrt(19) - 7 Simplify (-5*(sqrt(624)*-1)/sqrt(12))**2*3*-3. -11700 Simplify 5*(6*sqrt(1900)*-1 + -5 + 0)*-6. 150 + 1800*sqrt(19) Simplify 2 + 4*2*((-2*sqrt(363))**2 + 2). 11634 Simplify (sqrt(385)/(sqrt(252) - 2*sqrt(252)))/(sqrt(45)/(sqrt(9)*-1) + sqrt(605)*2). -sqrt(11)/126 Simplify ((sqrt(19) - (-3*sqrt(228))/sqrt(12))*4*-5*-3)**2. 1094400 Simplify ((sqrt(170) + 2*-3*sqrt(170) + sqrt(170))/sqrt(10) - ((sqrt(17) - (1 + sqrt(17))) + 5 + -3))**2. 8*sqrt(17) + 273 Simplify 0 + (-2*(sqrt(30)/sqrt(6)*3 + sqrt(5)))**2 + 3. 323 Simplify -6*((sqrt(14)/sqrt(2)*1 + sqrt(7) - ((sqrt(252) - sqrt(252)*1) + sqrt(7))) + 0 + -5 + sqrt(7)*2)**2. -528 + 180*sqrt(7) Simplify (1*sqrt(1344) + sqrt(21) - (2*sqrt(105) - sqrt(105))/sqrt(5))/(((sqrt(7) - -1*sqrt(7)) + sqrt(7))*5 + sqrt(7) + sqrt(28)/sqrt(4)*2)*4. 16*sqrt(3)/9 Simplify ((-3*sqrt(1053))**2 - sqrt(13) - -5*(sqrt(13) + 0 + sqrt(13))**2)*6*-3. -175266 + 18*sqrt(13) Simplify (-2*sqrt(3)*2*-4 + ((sqrt(36)*1 + sqrt(36))/sqrt(12))**2 + sqrt(300)*1)*1. 12 + 26*sqrt(3) Simplify (-5*(sqrt(1053) + sqrt(1053) + 3 + sqrt(1053)*-1 + sqrt(1053)) + -1)**2. 2880*sqrt(13) + 105556 Simplify ((-5*-1*sqrt(84))/((sqrt(108) + sqrt(108) + (3*sqrt(108) - sqrt(108)) + sqrt(108) - sqrt(108))/sqrt(9)))**2. 175/16 Simplify (((-2*sqrt(189) + sqrt(189))/(sqrt(7) + (sqrt(63) + sqrt(63) + sqrt(63)*3 - sqrt(63))) + 2)*4)**2. -192*sqrt(3)/13 + 11248/169 Simplify -1*6*(sqrt(110)/(sqrt(10) + (sqrt(110)*2 - sqrt(110) - sqrt(110))/sqrt(11)) + 1 + 3). -24 - 6*sqrt(11) Simplify ((sqrt(2304) - (2*sqrt(2304) - sqrt(2304)))*6 - sqrt(2304))/(sqrt(88)/((sqrt(121) + (sqrt(121) - (sqrt(121) - (sqrt(121) - 1*sqrt(121)))))/sqrt(11))). -12*sqrt(2) Simplify (-4*(sqrt(42)*1 + sqrt(42)) - -4*sqrt(168)/sqrt(4))/(-2*sqrt(486) - sqrt(600)*2). 2*sqrt(7)/19 Simplify 3 + 4*1*(1 + sqrt(612)). 7 + 24*sqrt(17) Simplify ((sqrt(216)/(sqrt(8)/sqrt(2)))/sqrt(3))/(sqrt(45)/(-3*(sqrt(5) + sqrt(20)/sqrt(4)))). -6*sqrt(2) Simplify (1*(sqrt(136)*-1 - sqrt(136))*1)/(1*sqrt(800)*3)*-5. sqrt(17)/3 Simplify 1*(sqrt(5)*-1*-6 + (sqrt(405) - 1*sqrt(405)))*2*4. 48*sqrt(5) Simplify (2 + sqrt(1573) + 3)**2 + -3*-1*sqrt(13)*-4. 98*sqrt(13) + 1598 Simplify 3 + -2*(6*(sqrt(275) + sqrt(275)*-2))**2*6. -118797 Simplify 1*(sqrt(637) + 3 + 1)*-6 + -4. -42*sqrt(13) - 28 Simplify (((sqrt(4) - sqrt(4)*5)*2)/sqrt(4050))**2. 128/2025 Simplify -4*(0 + (4 + (sqrt(272)*2 + sqrt(272))**2 - ((0 + sqrt(272))**2 + -4))). -8736 Simplify 4 + (-4*(-1 + sqrt(208))**2 + 0)*-3 + 4. -96*sqrt(13) + 2516 Simplify (sqrt(684)*-4 + -5)**2 + sqrt(684) + 3*(sqrt(684) + 2). 264*sqrt(19) + 10975 Simplify ((4*(sqrt(77) - (sqrt(77) + (sqrt(77) - -3*-2*sqrt(77)))))/(sqrt(22)/(sqrt(2)*1*-3)))**2. 25200 Simplify 1*-2*(sqrt(832) - -2*(-2*sqrt(832) + sqrt(832))). 16*sqrt(13) Simplify (4 + -6*(sqrt(176) + sqrt(11))*6 + 5)**2*-3. -1069443 + 9720*sqrt(11) Simplify -2*((sqrt(171) + (sqrt(171) + -2 + 1*sqrt(171) - sqrt(171)) - (5 + sqrt(171) + 2*sqrt(171) - sqrt(171)))*3 + -4)**2. -1250 Simplify 2 + -5*(sqrt(117)*-2*-4)**2 + -2. -37440 Simplify (4*3*sqrt(147) - (3*sqrt(147)*-4 + sqrt(147)))**2. 77763 Simplify ((sqrt(38) + -3*sqrt(38))/sqrt(2) + sqrt(1539)*4)*2. 68*sqrt(19) Simplify -2 + 3 + (sqrt(162) - sqrt(162)*1) + 1 + (2*sqrt(800))/sqrt(4). 2 + 20*sqrt(2) Simplify (sqrt(171)*2*2 + sqrt(171) - 3*sqrt(171)*1)/(2*2*sqrt(441) - sqrt(441)). 2*sqrt(19)/21 Simplify 2 + -4 + -2*(5 + ((sqrt(76))**2 - sqrt(19))). -164 + 2*sqrt(19) Simplify -1 + (1 + sqrt(128))*-3 + -5. -24*sqrt(2) - 9 Simplify (2*sqrt(286)/sqrt(11))/(3*sqrt(8)) + -1. -1 + sqrt(13)/3 Simplify (6*(((sqrt(77) - sqrt(77)*-2) + sqrt(77))*-4 - sqrt(77) - sqrt(77)))/(sqrt(63)*-1 - -1*(sqrt(7) + sqrt(21)/sqrt(3) - sqrt(7))). 54*sqrt(11) Simplify 0 + ((1*sqrt(192) + sqrt(192))*1)**2 + 1 + -4. 765 Simplify -4 + (sqrt(490)/((-1*sqrt(40))/sqrt(4)))/(sqrt(7) + sqrt(7)*-1*-1 + (sqrt(336) + sqrt(21))/sqrt(3)). -4 - sqrt(7)/7 Simplify -1*(sqrt(17) + -1) - (sqrt(833) + 1)**2 - (-4 + sqrt(1700)*-2). -829 + 5*sqrt(17) Simplify -4 + ((sqrt(5) + 0)**2*3 - (6*sqrt(5)*1)**2) + 2 + -4. -171 Simplify 1 + (sqrt(20)*-2*-6)/((sqrt(10) - sqrt(90) - sqrt(10))*-4) + 5. sqrt(2) + 6 Simplify (2*-2*sqrt(1666))/(sqrt(18)/(sqrt(900)*1)). -280*sqrt(17) Simplify (0 + sqrt(147) + sqrt(147))*-6 + -4*sqrt(15)/sqrt(5) + sqrt(3) + (sqrt(3) + sqrt(3) + sqrt(243) + 1 - sqrt(3))**2. -67*sqrt(3) + 301 Simplify (6*(-4*(2*sqrt(637) + sqrt(637) + sqrt(637)) + 0 + sqrt(637) + sqrt(637) + -4))**2. 28224*sqrt(13) + 4495248 Simplify ((sqrt(68) - (sqrt(68) - (sqrt(68) - -2*-1*sqrt(68)))) + sqrt(68) + (-1*sqrt(68)*1 - sqrt(68) - sqrt(68)))/(sqrt(900)*-2). sqrt(17)/10 Simplify (sqrt(13) + (sqrt(468) + -3 - sqrt(13)) - (4 + sqrt(13)*-1)**2) + (sqrt(117) + sqrt(117) + sqrt(117)*1*6)/((sqrt(405) - sqrt(45))/sqrt(5)). -32 + 18*sqrt(13) Simplify ((-1 + sqrt(3))*-5 - sqrt(3)) + 4 + 1*sqrt(3) - 3*2*sqrt(363). -71*sqrt(3) + 9 Simplify -1 + (3 + 2 + sqrt(56)/(sqrt(6)/sqrt(3)))*6. 29 + 12*sqrt(7) Simplify 0 + -1 + sqrt(931) + (sqrt(931)*-2)**2 + -2 + (6*(-5 + -1 + sqrt(931)))**2. -3017*sqrt(19) + 38533 Simplify 1*((sqrt(405) + 1 + -3 + sqrt(35)/sqrt(7))**2 + -2). -40*sqrt(5) + 502 Simplify (-5*(sqrt(343)*2 + sqrt(343) + 4) - (sqrt(343) + -1 + sqrt(343))*-1*2)**2 + 3. 3388*sqrt(7) + 41990 Simplify ((sqrt(99)*1 + (sqrt(11) - sqrt(44)/(sqrt(12)/sqrt(3))))**2 - (4*(1*sqrt(110) - sqrt(110)))/sqrt(10))*3. 297 Simplify ((sqrt(3) - ((sqrt(3) + sqrt(27))*4 - sqrt(3)))**2 - sqrt(3))*3 + (sqrt(36)/sqrt(3))**2 + -1. -3*sqrt(3) + 1775 Simplify 3*(-4*1*sqrt(68)*-4)/(sqrt(4) - -6*sqrt(8)/sqrt(2) - 6*sqrt(12)/sqrt(3)). 48*sqrt(17) Simplify (sqrt(152) + (6*(-3*sqrt(152) + sqrt(152)) - sqrt(152)))/(sqrt(392)*-2 + sqrt(8)). 12*sqrt(19)/13 Simplify (sqrt(280)/(sqrt(120)/(sqrt(96)/sqrt(8))))/(sqrt(48)/(sqrt(192)*2)). 8*sqrt(7) Simplify (1*(sqrt(84) - (sqrt(84) - -1*(sqrt(84) + sqrt(84)*1))))/((3*sqrt(72)*1)/sqrt(6)). -2*sqrt(7)/3 Simplify (sqrt(30) + (sqrt(210)*-1 - sqrt(210))/sqrt(7))/(sqrt(150)*5) + 4. -sqrt(5)/25 + 4 Simplify sqrt(50)/(sqrt(30)/sqrt(3)) - (sqrt(5) + -3)**2*1 - ((sqrt(80) + 1)**2 + 5 + 2*sqrt(80) + 3). -103 - 9*sqrt(5) Simplify (sqrt(45) - -1*sqrt(6480))/sqrt(9) + (sqrt(45)*2*-2)**2. 13*sqrt(5) + 720 Simplify (sqrt(960)*3)/(-2*sqrt(363)). -12*sqrt(5)/11 Simplify (sqrt(57) + sqrt(342)/(-2*sqrt(6)) + sqrt(57) + sqrt(3648)*-2 + sqrt(57))/(4*2*sqrt(3) - (sqrt(3) - (sqrt(54)/sqrt(2))/sqrt(9)))*-2. 27*sqrt(19)/8 Simplify ((1 + sqrt(175)*-2 + sqrt(175) + sqrt(175))*1)**2 + -1. 0 Simplify 1*((sqrt(280)/sqrt(7)*3)/(3*sqrt(8)*-2))**2. 5/4 Simplify 1*2*(-5*-3*sqrt(60))/(sqrt(588) + -3*sqrt(588)). -15*sqrt(5)/7 Simplify -6*(((sqrt(475)*1)**2 - (sqrt(19) - sqrt(171))*3) + -4*(sqrt(171))**2 + (sqrt(209)/(sqrt(44)/sqrt(4)) - sqrt(19))**2). -36*sqrt(19) + 1254 Simplify (sqrt(114)*1*5)/(sqrt(
{ "pile_set_name": "DM Mathematics" }
for a. -4 Solve 3*s - 2*q = s - 10, 5*q = 15 for s. -2 Solve 2*i + 14 = -2*j, -i + 20 = -5*j - 3*i for j. -2 Solve -y = -131*p + 128*p + 1, 5*y = -3*p - 5 for y. -1 Solve -2*a - y - 9 = 2*y, 3*y = -4*a - 15 for a. -3 Solve -4*r = g + 3*g, 0 = -2*r - 6 for g. 3 Solve 9 + 1 = -2*x, f - 8 = 2*x for f. -2 Solve 0 = p + 20*s - 23*s - 8, -3*s = -4*p + 23 for p. 5 Solve -3*u - 3 = 3*r, -5*u - 22 - 19 = -4*r for u. -5 Solve -6*c + 3*c + 16 = -a, -8 = 3*a - c for a. -1 Solve 19 = -5*v - 7*s + 9*s, -4*s + 14 = -2*v for v. -3 Solve 3*z + 1 - 23 = -5*c, -5*z = -2*c + 15 for c. 5 Solve 3*b - 8*b - 4*p = 15, 0 = -4*p for b. -3 Solve 3*d + 12 = 4*b - d, -5*d = -4*b + 13 for b. 2 Solve -4*v = 4*y - 9*y - 53, -4*y - 8*v = -36 for y. -5 Solve -1 = 2*j - 3*j + 5*f, 0 = 4*f for j. 1 Solve -3*i = 5*c - 13, i = c + 4*c - 29 for i. -4 Solve 0 = -o + 9*m + 14, 10*o = 14*o + 2*m - 18 for o. 5 Solve -8 = -2*a - 4*w, w + 2*w = -3*a for a. -4 Solve -23*n + 4*w + 2 = -26*n, 2 = 2*n + 2*w for n. 6 Solve 6*g + k - 3 = 8*g, 3*g + 4*k + 32 = 0 for g. -4 Solve -2*s = -3*b - 1, -4*s + 78*b - 76*b = 2 for s. -1 Solve -2*r - h - 116 = -121, -5*h = 5*r - 10 for r. 3 Solve -2*n - 8 = -4*q, 8 = -4*q + q - 2*n for q. 0 Solve 13*d = 10*d + 4*i + 16, 5*d = -3*i - 12 for d. 0 Solve -3*a + 1 = -2*x, 0 = 17*a - 18*a - 2*x - 13 for a. -3 Solve 3*z - 27 = 3*t, 0 = 5*t - 14 + 39 for z. 4 Solve 0 = -4*b - 4*q - 48 + 32, -5 = b + 2*q for b. -3 Solve -2*s - 4 = 0, -3*m = -0*m - 2*s - 1 for m. -1 Solve -14 = -3*b - 5*w, -4*w = 8 - 12 for b. 3 Solve -5*z = -3*b + 7, 4*b = z - 13 + 11 for b. -1 Solve 3*y = -4*h - 35, 4*y = 9*y - 5*h for y. -5 Solve -10 = -2*v + 2*f, -6*f = v - 4*f + 1 for v. 3 Solve -4 - 1 = g, z - 4 = g for z. -1 Solve 3*l + 4*i = -5, 28*l = 25*l + 2*i + 25 for l. 5 Solve -2*i = 2, -q + 5*i = 3*i - 6 for q. 4 Solve p - 3 = -5*g, 5*p + 1 = -g + 16 for g. 0 Solve 0 = -d + 5, -3*d = -11*r + 15*r - 23 for r. 2 Solve 0 = -5*h + 2*g - 21 + 6, -2*g = -2*h for h. -5 Solve 2 = -k, -6 - 10 = 4*n - 2*k for n. -5 Solve -3*a + 2*c - 17 = -5, a + 4 = 4*c for a. -4 Solve 4*r = v + 1, -3*v = -3*v + 4*r for v. -1 Solve -20 = -4*l + 5*h - 36, 0 = -5*h + 20 for l. 1 Solve -5*l - 4*q - 37 = 0, 31*l + 5*q = 29*l - 25 for l. -5 Solve k + b - 1 + 3 = 0, 3*b + 11 = -4*k for k. -5 Solve -y - 12 = -4*m, -3*y + 0*y - m + 3 = 0 for y. 0 Solve -3*x + 4*l - 15 = -2*x, -l - 6 = 3*x for x. -3 Solve -5*p - 18 - 7 = 0, -5*p = w + 24 for w. 1 Solve -2*c + c + 3*d - 6 = 0, 6 = 4*c - 2*d for c. 3 Solve 5*a - 4 = f, -4*f + 2*a - 22 = -6 for f. -4 Solve 0 = 5*i + 3*k - 15, i + 15 = -7*k + 10*k for i. 0 Solve 5*c - 30*x = -34*x + 4, 0 = -4*x + 4 for c. 0 Solve 3*q + j - 11 = 0, j - 3 = -q - 0 for q. 4 Solve 2*s + p + 10 = p - 2*p, p = 0 for s. -5 Solve -3*n - 4*h + 1 = 0, -n + 0 = 3*h + 3 for n. 3 Solve -5*y + 5*z = -5, 5*y = -3*z - 11 - 0 for y. -1 Solve -a = 2*d + d + 12, 5*a = 4*d - 3 for d. -3 Solve -5*h = -6*y + 5*y - 22, -h - 4*y = 4 for h. 4 Solve 3*a + 230 = 242, 2*l - a + 10 = 0 for l. -3 Solve -2*i - 4*l = -10, -5*l - 8 = -2*i + 2 for i. 5 Solve -5*g - 5*h = 10, g - 1 = 2*h + 3 for g. 0 Solve 0 = -2*q - 5*p + 33, -4*q = -p - 10 - 1 for q. 4 Solve -2*f = 4*g + 2 - 0, -g = 4*f - 3 for g. -1 Solve -2*y - 5*j = -5*y + 28, -5*y = j for y. 1 Solve v + 2*d + 1 = 0, -5*v - 22 + 4 = -3*d for v. -3 Solve 16 = 2*w + 5*s, 0 = 2*s - 5 - 3 for w. -2 Solve 2*u + 5*j + 21 = 0, 2*u - 33 = -2*u + 5*j for u. 2 Solve -11 = -5*m + u, m - 246*u + 250*u = 19 for m. 3 Solve -3*o + 4*k = o + 28, -o + 5*k - 15 = 0 for o. -5 Solve -t = -5*c + 7, 3*t = -2*t + 4*c + 7 for t. 3 Solve -r = -2*a - 8, -a + 48*r - 49*r = 10 for a. -6 Solve r = -2*v - v, 5*r + v - 14 = 0 for r. 3 Solve 18 = -3*n - l, -242*n = -245*n + 5*l - 18 for n. -6 Solve 0 = 3*m - 4*a - 7, m = -76*a + 79*a + 4 for m. 1 Solve -5*a = 3*s - 9 + 37, 5*a = -s - 26 for s. -1 Solve -z + 4 = -3*m - 2, 4*z + 6 = 2*m for z. -3 Solve -g = -2*v - 4, -2*v - 10 - 2 = g for g. -4 Solve -30*g = -25*g - q + 14, 0 = q - 4 for g. -2 Solve -2*r + k = -1, 6*r - 14 = 8*r + 2*k for r. -2 Solve -p - 5*o = 20, 5*o + 3 = -17 for p. 0 Solve 4*u + 16 = 2*z, 6*z = 10*z - 4*u - 20 for z. 2 Solve 5*x + 4*b - 19 = -47, 2*b = -x - 8 for x. -4 Solve 0 = -5*w - q + 7, 2*w - 3*w - 7 = -4*q for w. 1 Solve -13 = 3*a + 5*h, -3*h - 6 = -0 for a. -1 Solve 4 = -5*f + 4*g - 1, 15 = 3*g for f. 3 Solve -3*v - 57*n - 30 = -62*n, 2*v + 22 = 4*n for v. -5 Solve 0 = -4*n + 20, 4*p + 0*n + n - 13 = 0 for p. 2 Solve -51*q + 46*q - 5*w + 20 = 0, 3*q + w = 10 for q. 3 Solve -s - 4 = 3*o, 16 = -6*s + 2*s for o. 0 Solve -3*z + 21 = 4*w, 4*w + z = -w + 18 for w. 3 Solve -3*w = -5*p - 37, -3*w + p - 6*p = 13 for w. 4 Solve 2*r + 0 = -2*w - 2, -w - 7 = -2*r for w. -3 Solve -31 = 5*m + 2*k, -2 - 10 = 4*k for m. -5 Solve 4*m - 6 = -2*i + 4, 0 = -3*m - i + 8 for m. 3 Solve 3*n + 5*j = 17, -12*n + 16*n + 3*j = 8 for n. -1 Solve 5*s + 2 = -c, 3*c = -7*s + 4*s + 6 for c. 3 Solve 3*s + 2*l = 0, 3 + 2 = -4*s - l for s. -2 Solve -u - 23 = -f - 35, 0 = 4*u + 4*f + 32 for u. 2 Solve 4*n - 3*k = 8, 17*n = 15*n + k + 2 for n. -1 Solve 0*k + 2*k - 4 = 2*r, 0 = r - 2 for k. 4 Solve 5*k - 16 = 3*a, -k - 4*a + 72 - 78 = 0 for k. 2 Solve -i + 5*v = -16, -4*i - 10*v + 1 = -9*v for i. 1 Solve 4*b = 3*y - 20, -y - 5*b - 18 = -3*y for y. 4 Solve 3 = -a - 3*b, -4*a + 0*a - 3*b = -6 for a. 3 Solve -9 = u - 2*u + 2*k, -u = -3*k - 14 for u. -1 Solve -4*j - j + 10 = -5*s, 0 = 5*j + 3*s - 18 for j. 3 Solve -i + 6*o - 2*o = 0, 4*i + 2*o = 18 for i. 4 Solve 4*t - 3*y = 4, -7 + 13 = -5*t + y for t. -2 Solve -4*u = -17*s + 15*s + 22, -5*u - 23 = 2*s for s. 1 Solve -5*a + 15 = -5*y, 2*y = -3*a + a + 2 for a. 2 Solve -18*x = -14*x, 2*t = -5*x + 2 for t. 1 Solve -5*n + 9*v + 25 = 4*v, 0 = n - 2*v - 11 for n. -1 Solve -3 = 3*b - 5*g + g, -3*b + 3*g = 6 for b. -5 Solve 54*c + 5*w + 15 = 50*c, -5*w = 2*c + 15 for c. 0 Solve 0 = 5*u + 2*w - 25, -4*u + 4*w + 20 = -0*u for u. 5 Solve 0 = -4*b + 4*y - 20, 7*y + 7 = -3*b + 8*y for b. -1 Solve -5*z = -5*j + 10, 5*j + 0*j + 40 = -5*z for z. -5 Solve 2*m + 4 = 0, 2*c - 41*m - 6 = -39*m for c. 1 Solve -n - 2*w = -1 + 10, 5*n = 2*w + 3 for n. -1 Solve x - y - 8 = 0, -4*x + 5*x + 4*y = -7 for x. 5 Solve -12 = 5*j + y, -4*j = 4*y + 21 - 5 for j. -2 Solve 0 = -3*a + 8*a - 20, i + 25 = 5*a for i. -5 Solve -37 = -3*b + 5*y, 3 = 4*b + 4*y + 7 for b. 4 Solve 40 = -5*z, -3*b - 4*z = -3 + 35 for b. 0 Solve -6 = 3*x + 4*y - 41, 40 = 4*x + 4*y for x. 5 Solve 2*s = -50*h + 46*h + 2, -2*h = 3*s + 9 for s. -5 Solve 4*y - 3 = s, -2*y = 5*s - 4 - 3 for s. 1 Solve -4*q + 69 = 3*u + 65, -4*u - 16 = 0 for q. 4 Solve -2*h + 2 = -0*h, 0 = -5*j + 2*h - 7 for j. -1 Solve 4*n = 3*d - 3, 3*n + 3*d + 10 = 13 for n. 0 Solve -6*c + 5*n - 2*n + 3 = 0, 5 = -5*n for c. 0 Solve g = -u, 2*u - 2*g + 0*g - 4 = 0 for u. 1 Solve -4*k - 16 = 0, 4*t - k = -15 + 3 for t. -4 Solve 4*g - 11 = -3*p, 5*p = -g + 5 + 2 for g. 2 Solve 2*u = -2*n - 4, -6 = 3*n + 14*u - 9*u for n. -2 Solve a - 9 = 3*j, -2*j + 0 = -4*a + 6 for j. -3 Solve 5*z + 10 = 5*i, 2*z - 5*z = -5*i + 20 for z. 5 Solve -3*d + 6*d = l + 19, 3*d + 3*l - 3 = 0 for d. 5 Solve 0 = 4*z + 3*u - 32, -28*u = -z - 24*u - 11 for z. 5 Solve -s - 5 = -3*r - 13, 9 = r + 2*s for r. -1 Solve -h + 0*g + 3 = -g, 3 = 4*h + 5*g for h. 2 Solve -49*x + 9 = -f - 44*x, x - 1 = 0 for f. -4 Solve -2*k - 3*k = p + 29, 4*p + 16 = 0 for k. -5 Solve 5*o = -5, -4*i = -5*o - 319 + 326 for i. -3 Solve -u - 6*a = -9*a + 1, -3*u - 2*a + 8 = 0 for u. 2 Solve 2*z - 3*x - 11 = 0, -5 + 6 = -5*z - 2*x for z. 1 Solve -34*c = 4*p - 33*c, 4*c = -2*p - 14 for p. 1 Solve -4*u = 3*h - 3, -u - 7*h + 6*h + 1 = 0 for u. 0 Solve 3*p = -2*f - 0*f + 2, 4*p = -2*f + 6 for f. -5 Solve -4*c = -3*t - 19, -5 = 3*c - 4*c + t for c. 4 Solve -3*g + 2*g + 7 = -2*a, -5*g + 13 = a for g. 3 Solve 0*w + m = -4*w, m = 3*w + 7 for w. -1 Solve 7*x + 2*k - 4 = 0, -3*k = -4*x - 29 + 23 for x. 0 Solve -3*o = -4*o + 4*n - 8, -5*o - 4*n - 16 = 0 for o. -4 Solve 0 = 3*r + 3*n, -4*r + 3 = 2*n + 13 for r. -5 Solve -m = -s - 2, 10*m = 4*s + 13*m + 1 for s. -1 Solve -24*f - 30 = -19*f - 3*g, 0 = 5*f + 5*g - 10 for f. -3 Solve -2*b + v = 0, 3*b - 2*v + 5*v + 18 = 0 for b. -2 Solve -3*m + 0 + 15 = -3*a, -3*a + 2*m = 14 for a. -4 Solve 4*w = 5*b + 337 - 287, 4*b + w + 19 = 0 f
{ "pile_set_name": "DM Mathematics" }
6243 + 29978. What is the smallest common multiple of 162 and m? 67230 Suppose -40 = 9*y - 130. Let d(p) = 7*p - 5. Let h be d(y). Suppose 55 = 4*w - v, -2*w + v - h = -6*w. Calculate the least common multiple of 11 and w. 165 What is the common denominator of 65/1008 and 31/((-33480)/(-3296))*12/(-448)? 5040 Calculate the common denominator of -113/1750 and 397/(-1225) - (1 + 84/(-63)). 36750 Let g(o) = 5*o. Let u(w) = -410*w**3 + w**2 - w - 2. Let f be u(-1). Let l = -396 + f. Calculate the lowest common multiple of l and g(4). 140 Calculate the lowest common multiple of (-4)/54 + ((-4918800)/(-810))/8 and 3. 759 Let s = 111286 + -5674150/51. Let v = 99/17 - s. What is the common denominator of 43/15 and v? 15 Let x be 5*(2 - 1748/5). Let b = -15709/9 - x. Calculate the common denominator of b and (-6)/(28/((-672)/(-536))). 603 Let x = 292 + -267. What is the smallest common multiple of 121 and 20/x*825/30? 242 Suppose -5*f - 6*f = -3113. Let h = f - 1422/5. What is the common denominator of -21/65 and h? 65 Let y(s) = 2*s**3 + 2*s**2 - 2*s. Let l be y(2). Suppose -w + l = -4. What is the smallest common multiple of -1 + 9/7 - (-17 - (-900)/63) and w? 24 Let w(q) = 4*q**2 - 24. Let z = -31 - -27. What is the smallest common multiple of 5 and w(z)? 40 Let q = -2587 - -4801. What is the least common multiple of q and 984? 8856 Let b(p) be the third derivative of -p**4/24 - 17*p**3/6 - 30*p**2. Let o be b(-17). Calculate the common denominator of 10/(-33)*(-9 - o) and -111/10. 110 Suppose 0 = -2*y - r + 12806, -9960 = -3*y - 4*r + 9259. Suppose -y - 10747 = -3*s. What is the common denominator of (-2)/13 - (-3 - s/(-1040)) and 73/4? 20 Let x be (-1)/(-2) - (-11 - 50/20). What is the smallest common multiple of 9/6*((2 - 4) + x) and 24? 72 Suppose 4192 - 2870 = 192*l - 6358. Calculate the lowest common multiple of 2265 and l. 18120 Calculate the common denominator of 13/1776 and ((2 - 8/24) + -1)*(-59)/6. 5328 Let r = -6/53 + -217/424. Calculate the common denominator of r and (-12)/60 + (-6)/9 + (-860)/(-120). 40 Let s(w) = 5*w**2 + 6*w - 5. Suppose 4*m + r = 0, -4*m - 4*r = -7*r. Suppose 6 = -3*j, -2*n + m*n = 2*j. What is the smallest common multiple of 24 and s(n)? 216 What is the least common multiple of 162 and (-114)/(-10) - 306/(-510)? 324 Let b be (-2 + 0)/((-1)/2). Suppose 240 = b*u - 408. What is the least common multiple of 27 and (-2)/(18/(-245)) + (-36)/u? 27 Let m(o) = 6*o - 45. Let r be m(11). Suppose -r = -14*h + 231. Calculate the lowest common multiple of 12 and h. 36 Suppose -89*m + 17443 = -61233. Calculate the lowest common multiple of 24 and m. 5304 Find the common denominator of 3 + (68/(-12048)*-63)/((-54)/462) and 149/132. 33132 Suppose -32*p + 41*p + 32733 = 0. Let w = p - -87349/24. What is the common denominator of 71/92 and w? 552 Let w = 45 + -54. Find the common denominator of (2/10)/(w/630*48) and 65/44. 264 Let s be (-4)/(-9) + 8*(-4132)/(-1710). Let u = 98/5 - s. Find the common denominator of u and -77/90. 1710 Suppose c - 1234 = 3*q, -450*c + 446*c - 3*q = -4816. What is the least common multiple of 990 and c? 10890 Let k(h) = 4*h**2 - 6*h. What is the smallest common multiple of k(-3) and (-16)/(12/3)*-4? 432 Let y(u) = 4*u**2 - 5*u - 2. Suppose -95 - 133 = -2*k. Let i = k - 93. Calculate the lowest common multiple of y(-2) and i. 168 Suppose -354*y - 31518 = -388*y. Calculate the least common multiple of 3193 and y. 28737 Let w = 205 + -139. Suppose 4*q = -4*n, 14*q = 12*q - 8. What is the least common multiple of w and n? 132 Let p = 25/9 - 83/27. Let x = p + 7/54. Calculate the common denominator of 25/6 and x. 6 Suppose 23*i + 5*d = 25*i - 69, 0 = -i + 2*d + 37. Let o(z) = 6*z - 2. What is the smallest common multiple of i and o(2)? 470 Find the common denominator of -49/816 and ((-176 - -2) + 2)*18/20196. 8976 Suppose -107 = -5*v + 43. Suppose 2176 = -209*j + 2425 + 4976. What is the lowest common multiple of j and v? 150 Let a = 52/3635 + 17196977/14540. Let u = -1161 + a. Find the common denominator of 27/41 and u. 164 Suppose -22 = -o - 4*m, -3*o - o = 2*m - 158. Let i(x) = 3*x**3 + 11*x**2 - 6*x + 4. Calculate the lowest common multiple of o and i(-4). 84 Let q(x) = -45*x + 529. Calculate the least common multiple of q(-11) and 896. 7168 Suppose 16 = 4*n, 5*n = 5*k + 20 - 70. What is the smallest common multiple of 882 and k? 882 Let n = -1288 - -3788/3. Calculate the common denominator of n and (-53)/(-33) + 0 + -1. 33 Let b(p) = 1630*p**2 + 32*p - 34. What is the least common multiple of 76 and b(1)? 30932 What is the common denominator of 1906/(-208) - 120/520*-39 and 139/624? 624 Let g = -16/9 - 265/18. Find the common denominator of g and (-1)/(-8)*(1 + 0). 8 Let k(g) = 13*g**2 - 15*g + 16 + 6*g**2 + 2 - 18*g**2. Let t be k(14). What is the least common multiple of 21/1 + 0 + (t - 7) and 30? 90 Find the common denominator of 0 + (5 - 2220/522) and (-63)/168 + -1*3. 696 Let p = 76 - 74. Let i(n) = -8*n - 11 + 2*n**2 - 3*n**p + 0*n**2 + 0*n**2. Calculate the lowest common multiple of i(-2) and 9. 9 Let h(x) = -27*x - 37. Let c(o) = o + 2. Let n(l) = 6*c(l) + h(l). Let p be n(-5). Find the common denominator of (-148)/p - (0 - -2) and -91/12. 60 Let z(m) = -11*m - 23. Suppose 5*a + 10 = -5*w, -3*a - w = -a + 4. Let g be z(a). Calculate the lowest common multiple of (g - 1 - -1)/(2/(-8)) and 10. 20 Let n(o) = -o**2 + 9*o - 5. Let l be n(7). Suppose -t = -l - 1. Let u(i) = i**3 - 9*i**2 - 8*i - 8. Calculate the lowest common multiple of u(t) and 6. 12 Let n(z) = 249*z - 4081. What is the least common multiple of n(19) and 200? 2600 Let d = -15539 - -16839. What is the lowest common multiple of d and 8? 2600 Let r be 19/(1463/294) - 2/(-11). Let v be (r - 14)/(24/46). Let a = -203/30 - v. Find the common denominator of 41/5 and a. 5 Let k = -917 - -1067. Let o = k - 1604/11. Calculate the common denominator of o and (-3 + -1)/((-292)/42). 803 Suppose 5*l + 0*s - 15 = 5*s, 5*l = -s + 21. Suppose 5 = -n + 2, -3*n + 39 = l*p. What is the lowest common multiple of (-1652)/(-196) - ((45/21)/5)/1 and p? 24 Let f be 1853/(-7) - 0 - 4/14. What is the common denominator of (f/318)/((-4)/(-39)) and -71/4? 8 Let j = 88 + -30. Suppose -5*m - j = -2*z - 3*m, -2*z + 63 = 3*m. Calculate the lowest common multiple of z and 35. 210 Let a = -11872 + 11874. Let z = 0 + 2. Suppose x + 4*l = z, 3*x + 4*l + 2 = 24. Calculate the least common multiple of x and a. 10 Suppose 14*q - 77*q + 2142 = 0. Suppose 0 = -s - 2*o + 14 + q, -5*s + 192 = -2*o. What is the lowest common multiple of 140 and s? 280 Let z = 4644 + 1146. What is the lowest common multiple of z and 18? 17370 Let i = 242144/27 + -8974. Let o = 161/27 - i. Let x = -1498/165 - -98/15. What is the common denominator of x and o? 33 Let k = 24 - 8. Calculate the least common multiple of (-2336)/(-104) + (-348)/754 and k. 176 Let a be (-8)/44 - 100/55. Let l = 18 + -31. Calculate the common denominator of (-261)/(-260) - (a/l)/1 and 77/38. 380 Let p = 13553 + -13137. What is the least common multiple of 416 and p? 416 Let b = -1731/227 + 52669/9080. What is the common denominator of b and 4/6 - 897/360? 40 Let z(v) = v**3 - 32*v**2 - 66*v - 65. Let u be z(34). Suppose -3*t + 12 = a, -11 + u = -2*t + 4*a. What is the lowest common multiple of t and 110? 220 Let s(p) = -p**2 + 19*p - 10. Let b be s(14). Suppose 62*m - 252 = b*m. What is the smallest common multiple of m and 5? 630 Let j be 0/(1 + (-3 - (-4)/4)). Calculate the common denominator of 19/10 and 715/(-22) - 9 - j/1. 10 Let d(a) = -26*a + 91. Let r be d(11). What is the lowest common multiple of 11 and 50/(-3)*-2*r/(-26)? 2750 Suppose -23*y + 17*y = -240. What is the common denominator of 0 + y/36 - (-1)/(-2) and -29/82? 738 What is the common denominator of (3161/2180)/(-2 - (-30)/(-4)) and 30/101? 19190 What is the lowest common multiple of 348 and 3*1/(24/1432) - (9 + -4)? 348 What is the common denominator of -13/9 and ((-34)/(-510))/(28/1565) - 2? 252 Let v(x) = 199*x + 41. Let f be v(-29). Calculate the common denominator of 0 - (1 + 28/(-48)) and -2 + f/(-1386) + 4/(-22). 84 Let t = -16706 - -29686. Let j = t - 311441/24. Calculate the common denominator of j and -25/261. 2088 Let v = -249021345
{ "pile_set_name": "DM Mathematics" }
. -2 Solve 0*v - 2*l + 13 = v, 5*v - 35 = -4*l for v. 3 Solve 2*m + 12 = -l, 90*l = 5*m + 93*l + 32 for m. -4 Solve -1 = k, a + 7*k = 6*k + 1 for a. 2 Solve -13*p + 16*p - 7 = -5*b, 4*b = 3*p - 16 for b. -1 Solve -2*x - 5*v - 38 = -17, -3*x - 18 = 3*v for x. -3 Solve -26*h = -3*m - 23*h - 27, 5*m - 4*h + 43 = 0 for m. -7 Solve 3*o + 3*r = -18, -2*r = -4*o - 0*r for o. -2 Solve 3 = -5*z + t, 6*t = 3*z + 4*t + 6 for z. 0 Solve -10 - 3 = -5*j - 3*z, j = z + 9 for j. 5 Solve -3*q + 4*q + y = 2, -4*y = 4 for q. 3 Solve 5*r = 5*o + 20, -3*r + 9 = 4*o - 2*r for o. 1 Solve k + 5*q + 94 - 97 = 0, 5*k + 6 = -4*q for k. -2 Solve -2*l = -j + 7, j + 0 = l + 4 for j. 1 Solve -5*o - 25 = -5*l, -3*l + 13 = -2*o + o for o. -1 Solve 10 = -p + 3*k, k - 1 = -5*p - k for p. -1 Solve -20*u + j = -24*u + 3, j - 3 = -u for u. 0 Solve 2*y = -q + 4*q - 3, 0 = 4*q - y + 1 for q. -1 Solve -3*o = 9, 2*l - 11 - 4 = 5*o for l. 0 Solve -5 = -3*r - 5*k, -5*r = -4*k + 6*k - 2 for r. 0 Solve 0 = 4*y - 4*n, 5*y - n = 2*n + 2 for y. 1 Solve 0*u = 3*h - 3*u, 8 = 5*h + 3*u for h. 1 Solve o - 46 = -4*o - 7*b, -o - 5*b + 20 = 0 for o. 5 Solve 20*f - 25*f = 4*l + 5, -3*f = -3*l - 24 for l. -5 Solve -5*o - 5*b = -10, -o + 1 = -5*b + 23 for o. -2 Solve 4*u = 3*j + 28 - 8, 0 = 2*u + 3*j + 8 for u. 2 Solve a + 15 = p + 4*p, -4*a - 30 = -5*p for p. 2 Solve -9*b + 14*b - n - 7 = 0, 2*n - 10 = -2*b for b. 2 Solve 0 = 3*k - 5*l - 23, 15*k - 19*k + 2*l = -12 for k. 1 Solve -2*y = -3*y + 2*r - 3, -y = 3*r + 8 for y. -5 Solve -10*o - 3*m + 14 = -11*o, -2*m = 3*o + 9 for o. -5 Solve 4 = 2*o - u - 1, 17 = 2*o + 3*u for o. 4 Solve 21*d - 20*d = 5*f - 13, 2*d = 4*f - 8 for f. 3 Solve -3*h - 3*z - 3 = 0, 4*h + 11*z - 12*z + 24 = 0 for h. -5 Solve 5*q = -3*a + 6*q - 9, -5*a = -q + 15 for a. -3 Solve 0 = 2*a + i + 7, 41 = a + 4*i + 62 for a. -1 Solve -4*u - 16 = 0, 0 = 3*o + 5*u - 3*u - 1 for o. 3 Solve y = n + 3, 4*y - 12 + 32 = 0 for n. -8 Solve -1026*f + 1030*f = 2*s + 10, 4*s - 5*f + 14 = 0 for s. -1 Solve 5*b = 3*c + 10, -3*c + 6 = 2*c + 3*b for c. 0 Solve -3*k + 2*k = 5*x - 16, -2*x = 3*k + 4 for x. 4 Solve 2*u + 4 = -2*l, 4*l = 4*l - 5*u for l. -2 Solve 20 = 5*f, 5*g = 2*f - 7*f for g. -4 Solve 32*d - 4*g - 2 = 34*d, 0 = -2*d + g - 12 for d. -5 Solve 16*d + 4*k + 19 = 11*d, -k - 16 = 5*d for d. -3 Solve -a = -23*g + 24*g - 2, -2*a - 8 = -g for g. 4 Solve 5*z - 910 = -5*a - 915, -3*z = -5*a + 3 for a. 0 Solve 3*k = 5*i + k + 16, -2*i + 3*k - 2 = 0 for i. -4 Solve -2*p - 3*j = 7, p - 106*j - 13 = -102*j for p. 1 Solve 0 = -g - u, -2*u = -2*g + u + 15 for g. 3 Solve -2*t + 2 = -t - 2*k, 0 = -t - k - 4 for t. -2 Solve 3*w - 104*p + 99*p = -29, -4*p + 10 = 2*w for w. -3 Solve -2*v - 2*v = d + 1, 4*d - 3*v - 15 = 0 for d. 3 Solve 0*t - 4*t + 5*i - 15 = 0, -t + 3*i - 9 = 0 for t. 0 Solve -3*y - 1 - 1 = 4*z, -2*y = 4*z + 4 for y. 2 Solve 7*s + 35 = -2*w + 12*s, 4*w = -s - 15 for w. -5 Solve 14*j - 4*g = 9*j - 5, 2*j + 5*g - 31 = 0 for j. 3 Solve -2*i - 5*d = 17, -i = i - d - 13 for i. 4 Solve s = r + 9, -12*r + 6 = -s - 14*r for s. 4 Solve -17*d + 19*d - 6 = 2*y, -3 = -5*d + y for d. 0 Solve 4*u + 19 = c, -5*u = -5*c + 5 + 15 for c. -1 Solve -5 = b + h + 4, b + 5*h = -29 for b. -4 Solve -3*i = 5*t - 22, -12*i = -3*t - 10*i - 2 for t. 2 Solve -s + 6 = 3*j, -26*j = 5*s - 31*j + 10 for s. 0 Solve 3*g + 3*p - 6 = 0, 3 + 0 = -g + 4*p for g. 1 Solve -2*q + 0*q - 3*i + 1 = 0, -2*q - 6 = -4*i for q. -1 Solve -2*t = -2*a + 10, -3*t + a - 7 = 6 for t. -4 Solve 2*n = 5*c + 21, 4*c + n + 4*n + 30 = 0 for c. -5 Solve 4*o = -4*t + 16, 28*t + 2 = 29*t for o. 2 Solve -s + 5*g - 15 = -8, -2*s = 4*g for s. -2 Solve 0 = -5*l, -3*k - 12 = -4*k + 5*k - l for k. -3 Solve -2*z - 2*v + 1 = 9, -6 = 4*z + 2*v for z. 1 Solve 72*n - 70*n - 5*y + 9 = 0, 9 = 5*n - 2*y for n. 3 Solve -4*x - c + 13 = 0, -5*x + 9*x = -5*c + 17 for x. 3 Solve 0 = 4*g - 5*p + 21 - 3, -3*g = 2*p + 2 for g. -2 Solve -b + 3*m = 14, m - 1 = -5*b - 23 for b. -5 Solve 1 = -3*s - 5*t, 5*s - 2*t - 2*t - 23 = 0 for s. 3 Solve -3*g + t = 741 - 729, 5*t = 3*g for g. -5 Solve -3*z = -k + 4, z + 8 = 3*k - k for z. 0 Solve -4*h - 15 = -9*h, -14 = i - 4*h for i. -2 Solve -2*v - 5*i - 13 = 0, 2*i = -4*v + 6 - 8 for v. 1 Solve 4*t = -4*o + 4, -2*o - o - 1 = t for t. 2 Solve -4*f = -4*p - 5*f + 19, 3*f + 7 = 4*p for p. 4 Solve 10 - 4 = -2*m, m = 3*u + 6 for u. -3 Solve 4*i = 4*m, -3*i + 17 = -5*m + 27 for i. 5 Solve z + 13*j = 8*j + 7, z - 5 = -3*j for z. 2 Solve -2 - 6 = -2*i - 4*w, -2*i - 8 = -4*w for i. 0 Solve -9 = 2*i + d, 3*d + 4 = -5 for i. -3 Solve -5*l = -10*l - 4*g - 12, -4*g - 8 = 4*l for l. -4 Solve 4*a + 5 = -15, y = -2*a - 5 for y. 5 Solve -4*o + 28*g = 26*g - 10, -3*o + 2 = 4*g for o. 2 Solve -5*l + 0*l + 2*p = 10, 0 = 4*l - 5*p - 9 for l. -4 Solve -4*t - 5*f + 5 = 0, t + 11*f - 2 = 9*f for t. 0 Solve -4*w = 0, 5*o + 17*w = -19*w + 34*w + 20 for o. 4 Solve -2*s = -2*d + 10, 6*d + 2*s - 2 = 4*d for d. 3 Solve 2*n = 5*z + 22, -12*z - 2*n - 18 = -7*z for z. -4 Solve -3*i - r = -3, 0 = -111*i + 116*i + 2*r - 4 for i. 2 Solve -3*h - 3 - 5 = -2*x, -3*h = 5*x + 1 for x. 1 Solve -3*h + 23 = 4*p, -3*p + 3*h - 11 = -p for p. 2 Solve 2*j = -3*j + 20, 2*j = -3*g + 17 for g. 3 Solve 0 = 4*f - 8, 3*i - 20*f + 10 = -15*f for i. 0 Solve -4*l = -2*h - 28, 2*h + 2*l + 81 - 83 = 0 for h. -4 Solve 5*m + 2*n = 6*n + 24, -m = 2*n - 2 for m. 4 Solve 0*f - 3 = 5*f + 4*c, -4*f = 3*c + 2 for f. 1 Solve 2*b = -2*w + 6, -22 = -5*b + 2*w + 7 for b. 5 Solve -s + 12 = -2*k, -2*s - 18 = -s + 4*k for s. 2 Solve 10 = -4*r + 2*c, r + 12 = 4*c + 27 for r. -5 Solve -5*a = 5*j + 5, a + 5 = j - 0 for a. -3 Solve -2*d = 2*j - 8, -d - 5*j = 3*d - 19 for d. 1 Solve -22 = -2*p - 4*k, -4*p - 9 = 2*k - 35 for p. 5 Solve 3*n - 12 = 0, 5*n - 8 = 5*r + 27 for r. -3 Solve -4*w + 18 = 3*y, -59*y + 17 = -58*y + 5*w for y. 2 Solve 4*w + 26 = -5*p, 4*w + 2*p - 4 + 24 = 0 for w. -4 Solve -4*j + 4*m = -2*j + 28, 5*m = -2*j + 17 for j. -4 Solve -5*a + l = -2, -19*a = -20*a + 5*l - 14 for a. 1 Solve 4*u - 17 = 5*l + 5*u, 0 = -4*l - 4*u - 20 for l. -3 Solve 0 = -3*l, 3*g + 3 = 23*l - 25*l for g. -1 Solve 12 = -4*k + 4*p, -k + 2*p - 131 = -125 for k. 0 Solve 2*k + 4*d + 0 - 4 = 0, d = 0 for k. 2 Solve 33*v = 28*v + m + 32, -5*m + 8 = 3*v for v. 6 Solve -w - 4*z + 248 = 245, 0 = -w + 4*z - 13 for w. -5 Solve 5*y + 5 = 4*y - 3*b, -y + 2*b = 0 for y. -2 Solve 2*q - q - 13 = -3*g, 5*q + 2*g = 13 for q. 1 Solve b = -r - 3, 3*r - b - 4*b - 15 = 0 for r. 0 Solve -3*c + v + 3*v = -17, -2*v = -5*c + 5 for c. -1 Solve 3*v - 2*g = -0*g + 25, 3*g = -15 for v. 5 Solve 4*c + 2*q = 20, c - 22*q + 4 = -18*q for c. 4 Solve -3*o - 2*n = 2*n - 13, -4*o + 4*n - 20 = 0 for o. -1 Solve -10*j = -7*j + 4*v + 28, 5*j + 5*v = -40 for j. -4 Solve 0 = -2*h - 5*k - 5, 3*k = -22*h + 27*h + 28 for h. -5 Solve w + 2*n = -1, 5*n - 28 = -5*w + 6*n for w. 5 Solve -5*k = -0*k + 15, 2*v + 4 = -2*k for v. 1 Solve 8*f = -5*a - 16, a = -4*a + 4*f + 8 for a. 0 Solve -3*n + 15 = -6*n + 5*h, 2*n - 4*h = -10 for n. -5 Solve -4 = 2*j + 2*u, -4*j = j + u + 6 for j. -1 Solve -5*k = 4*y - 22, 7*y + 3*k = 9*y for y. 3 Solve 3*z + 4 = -7*x + 12*x, 4*x = -2*z + 12 for z. 2 Solve -4*c = 4*l - 8, -c = -0 + 1 for l. 3 Solve v - 32*t + 5 = -34*t, 3*v + 2*t + 3 = 0 for v. 1 Solve 24 = u + 5*w, 0 = 5*u - 5*w + 1 + 29 for u. -1 Solve -5*r - 5*a = 5, 3*r + 1 = -2*a + 2 for r. 3 Solve 4*q - 5*b + 2*b = 3, 12 = -q + 5*b for q. 3 Solve -4 = -q, -4*k + 23*q = 27*q - 24 for k. 2 Solve 3*h + 5*s - 24 = 0, -h - 35 + 26 = -4*s for h. 3 Solve 0 = -5*l - 5, k = 3*l + 1 - 0 for k. -2 Solve 5*z + 24 = 2*a, 4*a - 2*z - 30 = -14 for a. 2 Solve 4*z + 0*z + 14 = p, -z - 3*p - 10 = 0 for z. -4 Solve 2 = 8*r - 10*r, -2*g = 4*r for g. 2 Solve 12*z = 15*z + 5*k, 4*z - k = 0 for z. 0 Solve 2*i - 3*h = 2*h - 28, -2*i - 10 = -2*h for i. 1 Solve -4*p = -3*a + 21, -2*a - 12 + 9 = 3*p for a. 3 Solve 2*p - 30 = 5*f, -30 = 4*f - 3*p - 6 for f. -6 Solve 5*d - 6*t + 2*t - 25 = 0, -5*d + 3*t = -20 for d. 1 Solve -2*r = -3*q - 0*q - 1, -q + 1 = -r for r. -4 Solve 0*f - 4*f = 3*o + 17, -5*f - o = 13 for f. -2 Solve -35 = 3*u - 0*z + 4*z, -2*u - 5 = -z for u. -5 Solve 4*x - 2*k + 2 = 0, -14*k - 11 = -2*x - 17*k for x. 1 Solve -3*j = -8*z + 3*z + 6, -5*j + 5*z = 0 for j. 3 Solve -3*q - 5*s = -2*q - 18,
{ "pile_set_name": "DM Mathematics" }
/693) Simplify (((z/(z/(z*z*((z/z**1)/z*z*z)/z)))**38)**0)**(-3/22) assuming z is positive. 1 Simplify ((q*(q*(q*(q/(q*q*q**(-2/69)))/q*q)/q)/q)**(-24))**(2/25) assuming q is positive. q**(-32/575) Simplify (b*b**(3/17)*b*b*b)/(b/(b*(((b*b*b**(-21))/b)/b)/b))*(b**(-4/5))**(-11/4) assuming b is positive. b**(-1328/85) Simplify ((s/(s*s/((s/s**12)/s)*s)*s)/s*s**(4/5))**(4/7) assuming s is positive. s**(-264/35) Simplify (r**(-8))**(-2/3)*((r*r/r**9)/r)**(1/34) assuming r is positive. r**(260/51) Simplify (z/((z/((z*z*z*z/z**(6/13)*z)/z))/z))/(z**(-6)*z)*(z/(z*z*z**(-1/3)*z*z))/(z/(z/z**7)*z) assuming z is positive. z**(-44/39) Simplify (((n**1/n)/(n**(-5/3)/n))/(n**(-1/3)*n)**(-41))**(-34) assuming n is positive. n**(-1020) Simplify (l*l**(-3/5)/l*l)**(-33)/((l/(l*l**21))/l**(-10/9)) assuming l is positive. l**(301/45) Simplify (y**(-4))**44/(y*y*(y/((y/y**(3/7))/y))/y*y)**(-30) assuming y is positive. y**(-512/7) Simplify (n**(3/2))**(2/3)*n*n**(1/8)/n*n*n*n*n**(-3) assuming n is positive. n**(9/8) Simplify (y**17)**(4/21)*(y/((((y**(-3/2)/y)/y)/y)/y))**(-5) assuming y is positive. y**(-1229/42) Simplify (c**18)**(-34)/(c**(-4/11)*(c*c*c*c**(-2/15)/c)/c) assuming c is positive. c**(-101063/165) Simplify (t*t**11)**41/(t**(1/30)/(t**(-6)*t)) assuming t is positive. t**(14609/30) Simplify (h**(6/5))**(2/17)*h**(2/81)*h/h**16 assuming h is positive. h**(-102133/6885) Simplify (g**28/(g*g**(1/8)*g))/((g/((g*g**(-3/11))/g))/(g/((g/g**(3/23)*g)/g)*g)) assuming g is positive. g**(52083/2024) Simplify (f/(f*f**(-1)*f)*f**(-3))**(-3/43) assuming f is positive. f**(9/43) Simplify m/(m/(m/(m/(m*((m*m*m/(m**(-2/97)*m)*m)/m)/m)))*m)*m**(-6/13)*m**(-1/4)/(m*m/((m/(m**(-3/16)*m))/m)*m) assuming m is positive. m**(-70685/20176) Simplify d/d**(-2/7)*d**(-9)*d*d**(3/11)/d*d**(-1/2) assuming d is positive. d**(-1223/154) Simplify (v*v/(v/((v/v**(-6/13))/v)))/v**(-1/2)*(v**(1/2))**(2/9) assuming v is positive. v**(485/234) Simplify (p**(-34)/p**(-15))/(p**(-9)/p*p*((p**6*p)/p)/p) assuming p is positive. p**(-15) Simplify m**(-4)/m**2*(m/((m**(-1/5)*m)/m))**(-2/11) assuming m is positive. m**(-342/55) Simplify ((n/n**(-6)*n)/(n*n**(-1/2)))/(((n/(n*n**(-6/7)/n))/n*n)/n)**(-20) assuming n is positive. n**(345/14) Simplify a**(-4/15)/(a*a*a**(-2/3)*a)*(a*a/(a/(a**(-2/7)*a)))**(-19) assuming a is positive. a**(-1231/35) Simplify h*h**(5/4)*h/(h/h**(-8)*h)*h**(3/8)/(h/(h*((h**(-2/7)/h)/h)/h)) assuming h is positive. h**(-541/56) Simplify ((l**(-7)*l)/(l*l**(-1/4)))/(l**(2/47)/l*(l*l*l*l*l*l*(l/(l/(l/(l/((l*l/(l*l*l/(l/(l*l*l**(-13)/l*l*l))))/l)))))/l)/l) assuming l is positive. l**(-3533/188) Simplify (y/y**(4/7))**(-37)/((y*((y*y**16*y)/y)/y*y)/(y*y**3*y*y*y)) assuming y is positive. y**(-188/7) Simplify (((b*((b/b**(1/8))/b)/b)/b)/b**21)/(b**(24/5)*b*b**(1/21)/b*b*b) assuming b is positive. b**(-24337/840) Simplify (((r**2)**(1/34))**(5/4))**(2/33) assuming r is positive. r**(5/1122) Simplify (z**(-2))**10*z**(-3/7)/(z/(z/(z*z*z**(-1/9)*z*z)*z)) assuming z is positive. z**(-1469/63) Simplify z**(9/5)*z*z**(-3)*(z*z*z**0)**(-19) assuming z is positive. z**(-191/5) Simplify (o/(o/(o/o**7))*o)/o**(-1)*o**(-6/17)*o**12 assuming o is positive. o**(130/17) Simplify (m**(-2/7))**25*m/((m/(m/(m*m**(-1/3)))*m)/m)*m*m**(-4) assuming m is positive. m**(-206/21) Simplify (h**(-2))**(1/39)*h/(((h/(h*h**(3/17)*h))/h)/h)*h**(-4) assuming h is positive. h**(83/663) Simplify ((((u*u**(1/4))/u)**(13/3))**14)**(3/14) assuming u is positive. u**(13/4) Simplify ((((f/f**(12/5)*f*f)/f*f)/f**(1/10))**(-7/2))**(5/7) assuming f is positive. f**(-5/4) Simplify (((y/(y/(y*(y*y**0)/y)))/y)**31/(y**(-1))**37)**(-1/34) assuming y is positive. y**(-37/34) Simplify ((r/r**(-14)*r*r**23)**(-1/15))**(-28) assuming r is positive. r**(364/5) Simplify y**17*y/y**(-2/35)*y**8/((y**(1/20)*y*y)/y) assuming y is positive. y**(3501/140) Simplify ((v/(v*v**5/v*v)*v**14)**(24/11))**(-50) assuming v is positive. v**(-10800/11) Simplify (g*g**(-2)*g/((g**(-10)*g)/g*g)*(g/g**9*g)/(g**(-2/3)/g))**(-50) assuming g is positive. g**(-550/3) Simplify x**(-5/8)*x/(x**(-3/16)*x)*x**(-23)*x*x**(-10) assuming x is positive. x**(-519/16) Simplify (c**(-17))**0/(c**(-1/5))**(-44) assuming c is positive. c**(-44/5) Simplify (p/(p/(p/p**(-31))*p)*p*p*p**8*p*p*p)/(p/(p**(2/9)/p))**(-6/5) assuming p is positive. p**(692/15) Simplify ((k**(-6)/k*k)/(k*k**(2/13)*k))/((k/(k/k**6))/k**(-4)) assuming k is positive. k**(-236/13) Simplify ((n*n**3*n*(n/n**(-4))/n)/(n**1*((n**4*n)/n*n)/n))**(-49) assuming n is positive. n**(-196) Simplify c/(((c/c**(-5))/c)/c)*c**(2/81)*(c/(c/((c/(c*c/((c**(13/2)*c*c)/c)))/c)))**(2/69) assuming c is positive. c**(-5246/1863) Simplify (k**(-3/4)/k)/((k/(k*k*k**(-4)/k*k))/k)*k/(k*k**6)*k**(-2)/k assuming k is positive. k**(-51/4) Simplify i**(-5/4)*(i*i**(2/79)*i)/i*i*i*i**(-5/7)/((i*i**(1/3)*i*i*i)/i*i) assuming i is positive. i**(-21715/6636) Simplify (m**(3/2))**(-7/5)*(m*m**(-10))/m**(-5/2) assuming m is positive. m**(-43/5) Simplify (q**(-3)/q)**(-31)/(q**(8/7)*q/q**(-5/4)) assuming q is positive. q**(3377/28) Simplify (i**(-2/7))**33*(i/(i**(-10)/i))/i**3 assuming i is positive. i**(-3/7) Simplify (m*m*m*m/m**(2/9))**(5/18)/((m/m**(-8))/m*m/m**5) assuming m is positive. m**(-239/81) Simplify (k**11*k*k*k)/(k*k*(k*k**(-11)*k*k)/k)*k**(-3/4)*k/(k/(k**10*k)) assuming k is positive. k**(125/4) Simplify ((s/((s/(s/((s**(-2/63)*s)/s))*s)/s))/s*s/s**15)/(s**(-12)/s**(-6)) assuming s is positive. s**(-502/63) Simplify (j**9*j*j**4*j)/(((j/(j*j/(j/j**(-15))*j))/j)/(j**13/j)) assuming j is positive. j**14 Simplify ((c/c**(-1/7)*c*c**(-1/2))/(c/(c*c**1)*((c/(c*c**7)*c*c)/c)/c))**14 assuming c is positive. c**135 Simplify ((h**(-6/19)*h)/h**(-4/3))**(-1/2) assuming h is positive. h**(-115/114) Simplify l**8*l*l*l**(-9/5)*l*(l**(-6/7))**2 assuming l is positive. l**(262/35) Simplify i/(i*i**(-10/3))*(i/i**(2/3)*i)/i*i/(i*i/(i*i*(i/i**(-5/4))/i*i))*i*i/(i/(i/(i*i**(-17)*i)))*i assuming i is positive. i**(299/12) Simplify (n*n/(n*n**3))/(n/(n*n**(-2/5))*n*n)*n/(n**(-3)/n)*n/n**9 assuming n is positive. n**(-37/5) Simplify ((x**(1/3)/x)/(x/(((x/(x/((x*x**(-2/5))/x)))/x*x)/x))*x**7/(x*x**1))**(6/17) assuming x is positive. x**(58/85) Simplify ((w/w**(-2/29))/((w/(w**(-2/35)*w))/w))/(w**9/w**(-19)) assuming w is positive. w**(-26378/1015) Simplify b**(2/21)*b*b*(b/(b**(-6)/b*b))/b*(b*b**(1/6)*b)**(1/5) assuming b is positive. b**(597/70) Simplify (i/(i**(-2/13)*i))**(-1/6)*i**(-2/29)/(i*i**(-1)) assuming i is positive. i**(-107/1131) Simplify (((l*l**(3/2)/l)/(l/(l/(l/(l/l**(2/5))))*l))**25)**46 assuming l is positive. l**115 Simplify (k**(2/31)/k)/(k**(3/4)*k*k)*((k/((k**(-19)*k)/k*k)*k)/k)/k**(-12) assuming k is positive. k**(3387/124) Simplify (((r*r**(-18))/r)**(5/4))**31 assuming r is positive. r**(-1395/2) Simplify (q**7/(q/(q*q*q**(-3/7)*q)))/(q**(-1/4))**(-1/2) assuming q is positive. q**(473/56) Simplify (r**(-1/15)/(r*r/((r*r/(r*r**(-2/11))*r)/r)*r))/(r**(-3)/r*r)**(-2/37) assuming r is positive. r**(-12497/6105) Simplify (z**(-9)*z**(-15))/(z**(-2/19)*z*z**(-1/4)*z) assuming z is positive. z**(-1949/76) Simplify (((c**1/c)/c**(-2/7))/(c**(-3/8)/c**3))**32 assuming c is positive. c**(820/7) Simplify x**(-10)/(x*(x*x*x**(-1))/x)*(x**(-2/3)/x)**(-2/125) assuming x is positive. x**(-823/75) Simplify ((((k**(1/2)*k)/k)/k*k)**(-3/2)/(k**(-8)*k**(-4/3)*k))**(-8/9) assuming k is positive. k**(-182/27) Simplify (((((n*n*n**22)/n)/n)/n)/n*n**32)**34 assuming n is positive. n**1768 Simplify (((k**(-22/5)/k)/k)/(k**(-14)/k))**29 assuming k is positive. k**(1247/5) Simplify (y*y/(y*y**14)*y)/y**3*y**6/y*(y**6/y)/y assuming y is positive. y**(-6) Simplify (c/(c*c**(3/8))*c)**35*c*c**35*c/(c*c**(-12)) assuming c is positive. c**(559/8) Simplify (((j**(-4))**(-3/13))**3)**(17/4) assuming j is positive. j**(153/13) Simplify (x*x*x*x*x/(x**20/x)*x*x/x**(-23/5))/(x**(-30))**(-21) assuming x is positive. x**(-3187/5) Simplify (f*f**(-1/10)*f**(-4/3))/(f**7/f)**(-40/7) assuming f is positive. f**(7109/210) Simplify ((b**(-1/4)*b/(b*(b*b**(-3))/b))/(((b**(-6/11)/b)/b)/b**8))**(-2/7) assuming b is positive. b**(-585/154) Simplify (f/f**(1/5))**(1/46)/((f/((f/(f*f*f*f/(f*((f*f/(f*f**(-2/9)))/f)/f*f*f)))/f))/f)**(-6/19) assum
{ "pile_set_name": "DM Mathematics" }
*h = 7*h. Solve -6*k + 4*k + 6 = h for k. 3 Suppose 95*j - 12 = 93*j. Suppose -7*f = -j*f - 4. Solve s + 6 = f*s for s. 2 Let j be 31/7 + ((-1600)/140 - -12). Suppose h = 5*h - 24. Solve j*v - 1 + h = 0 for v. -1 Let a(k) = k**3 - 8*k**2 + 3*k - 11. Let t be a(8). Suppose 10*b - t*b = -6. Solve -j - b = -4 for j. 2 Let j(l) = 3*l**3 + 14*l - 14. Let p be j(1). Solve 0 = r - 6 + p for r. 3 Suppose -3*r + 11 = -i, -3 = -3*r - 3*i + 6*i. Suppose -l + r*l - 23 = 5*t, 2*l + 2 = -2*t. Solve 5 + 1 = l*z for z. 3 Let s(n) = n**2 - 14*n - 14. Let d be s(15). Suppose 3*y - 3*r = -r - d, 3*y + 4*r - 11 = 0. Solve f = -0*f + y for f. 1 Suppose 162*k = 164*k - 4. Solve 16 = -k*j + 8 for j. -4 Let u(o) = -2*o - 12. Let d be u(-6). Suppose d = 3*p + 2*p - 15. Suppose j + 4 = -3*j + 4*v, p*j + 1 = v. Solve i = -j*i - 1 for i. -1 Let c be 2/(-5) + 46/(-10). Let m(d) = 415*d - 6 - 422*d + d**3 - 2*d**2 + 6*d**2. Let r be m(c). Solve r*w = -0*w + 16 for w. 4 Suppose -2*q = -5*h + 85, 95 = 5*h - 7*q + 3*q. Solve 3*r + 0 = -h for r. -5 Suppose 5*p - p + 4*o + 344 = 0, -2*p - 166 = 5*o. Let z = p - -89. Solve -3*d = -z - 8 for d. 3 Let t = -1916 + 1931. Solve -t*b + 14*b = -4 for b. 4 Let r = 197 - 197. Solve r = -4*g + 6*g + 4 for g. -2 Let f(t) = -t**3 + 28*t**2 + 27*t + 70. Let b be f(29). Solve 0 = -4*p - 4 + b for p. 2 Let u be (3/6)/((-1)/4*-1). Suppose -g = -4 + 3. Solve -s + g = u for s. -1 Let f(k) = -2*k**3 + 5*k**2 + 7*k + 2. Let v be f(-2). Suppose m + 38 = 4*a, -5*a + v + 17 = 2*m. Solve a = 4*s - 11 for s. 5 Let o be 2 - (1 + -108) - 1. Suppose 5*c + c = o. Let w = -10 + c. Solve -4 - w = -4*l for l. 3 Let o = 1183 - 1162. Solve -16*b + 9*b = -o for b. 3 Let q be (60/75)/((-2)/(-15)). Solve q*o = 15 + 9 for o. 4 Suppose -17*v = -15*v. Suppose -5*w + 5*g + 16 + 19 = 0, w + 5*g - 25 = v. Solve -5*n + w = -5 for n. 3 Suppose 5*b - 3*i = 184 + 5, 4*b - 3*i = 153. Suppose -3*l + l - b = 0. Let w be l*1*4/(-12). Solve w*h - 3*h = 0 for h. 0 Let k(n) = -2*n**2 + 11*n - 12. Let q be k(4). Solve -5*s + s - 12 = q for s. -3 Suppose 3*g + 18 = 2*g. Let y be (-9)/g + 22/4. Solve 2 - y = 2*u for u. -2 Suppose 13*u - 8 = 11*u. Suppose 0 = u*n - 9*n + 35. Solve -3*s + 16 = -n*s for s. -4 Suppose -142 = -9*y + 605. Let z = 85 - y. Let g be 9 - 0*2/(-4). Solve z*i = 1 + g for i. 5 Let u be ((-4)/(-1))/2 + 15 + -15. Solve -u*p - 10 = -18 for p. 4 Let b(g) = 35*g - 63. Let t be b(2). Solve 25 - 4 = -t*c for c. -3 Let m be (-21)/(-4) + 3/(-12). Suppose m*t = -p + 19, -2*t - 9 = -5*t. Let y(i) = i. Let q be y(p). Solve 2 = 3*h - q*h for h. -2 Let s be ((-138)/184)/(2/(-8)). Solve -f = 2*f - s for f. 1 Let c be (-4)/(-12)*(1 - (-22)/2). Suppose -20 = -c*m + 2*y, -5 = 2*m + 5*y - 3. Solve -m*l - 25 = l for l. -5 Let x(p) = 23*p + 210. Let u be x(-9). Solve 3*f - u - 3 = 0 for f. 2 Let b(j) = -j**3 - 15*j**2 - 22*j + 53. Let p be b(-13). Let c = -2 - -5. Let z be (1 + c)*(-1)/(-2). Solve z = -h - p for h. -3 Suppose -m = 2*m + 3*i - 18, 4*m = 3*i + 45. Suppose 3*u - 2 = 2*u. Solve -w = u*w - m for w. 3 Let g(s) = s - 1. Let l(n) = -n**3 + 4*n**2 + 25*n - 9. Let c(w) = -3*g(w) + l(w). Let z be c(7). Solve -z = d + 3 for d. -4 Let j be -2 - (4 + -4) - -3. Let a be (j - 2) + -1*(7 - 8). Solve a = t - 0*t for t. 0 Suppose 0 = -o + 2*t + 1, -t - 20 = -2*o - 3*t. Suppose 0 = -2*f + 3*z + 17, 2*f - o*f - 3*z = -11. Solve -f*b = -b - 3 for b. 1 Suppose -3*m = -0*m - 45. Let s = m + -11. Solve -s*u = -3*u - 1 for u. 1 Let s(b) = -6*b - 36. Let k be s(-6). Suppose 0 = -c - k*c - c. Solve c = -f + 2*f + 1 for f. -1 Suppose -2*n = 17*n + 133. Let t(q) = 4*q + 30. Let o be t(n). Solve -3*f - o*f = 5 for f. -1 Let x(n) = 5*n - 19. Let w be x(6). Suppose -2*q - 1 = -w. Solve -2*i - q = 3*i for i. -1 Let f = 160 + -153. Solve -10*c = 23 + f for c. -3 Let d be -6 + -4 + 6 - -9. Solve -9*f - 31 = d for f. -4 Let f = 179 - 153. Solve -f*j = -30*j - 20 for j. -5 Let o = 855 - 853. Solve -o*g = -150 + 140 for g. 5 Let l be ((-13)/(-39))/((-2)/(-18)). Suppose 5 - 47 = -l*j. Solve 0 = -3*i - 2 + j for i. 4 Suppose 0 + 45 = 2*o + 5*j, 5*o - 128 = 3*j. Solve 18 = o*d - 7 for d. 1 Suppose 3*u = b - 13, 3*b = -u + 8 + 21. Solve 3*o = o + b for o. 5 Let o(u) = 2 - 1 + 10*u - u - 10*u. Let h be o(-4). Solve s - h = -0*s for s. 5 Let a(n) = 10*n**3 - n**2. Let p be a(1). Let y(t) = -5*t**3 + t**2 + t + 1. Let u be y(-1). Suppose 0 = u*z - p*z. Solve 6 + z = -3*q for q. -2 Suppose 3*s - 16*s - 2*s = 0. Solve 4*m = -s*m + 20 for m. 5 Suppose -2*f - 5*i + 12 + 1 = 0, -f = 3*i - 7. Solve 12 = f*h - 7*h for h. -4 Suppose -d + 2*i - 5*i + 6 = 0, -4*i + 4 = 0. Solve -38*n = -39*n + d for n. 3 Let d(t) = -6*t - 4. Let n(j) = 11*j + 7. Let o(k) = 7*d(k) + 4*n(k). Let c be o(-2). Let y be (-1 + 0)*(2 + c). Solve -w = -0*w + y for w. -2 Let s(b) = -b**3 + 15*b**2 + 32*b + 38. Let d be s(17). Suppose 0 = h - d*l - 18, 0 = -2*h - 2*l + 15 + 41. Solve 0 = 5*u + 1 - h for u. 5 Suppose 0 = 4*o - 10 - 26. Let s = 30 - 23. Suppose s*x = 5 + o. Solve 10 = -4*l + x*l for l. -5 Suppose v - 3*p = 47, -2*p + 2 = -4. Solve z = v - 55 for z. 1 Let y be -1*(-17 - 4/2). Suppose 5*z + 5*o - 9*o = 25, -3*z + 8 = -o. Solve 4*b + z = -y for b. -5 Let v(k) = -2*k - 5. Let q(j) = -2*j + 1. Let o be q(-12). Suppose h - 3*p + 7*p = -9, -o = 4*h + 5*p. Let m be v(h). Solve -4*c - m = 11 for c. -4 Let q be (-5)/(-10) - ((-245)/2)/7. Suppose 4 = -16*w + q*w. Solve w = -g - 2 for g. -4 Let d = 13 - 103. Let s be (0 - 3)/(27/d). Solve 2*o - s = 4*o for o. -5 Let t be -25*(72/(-10) + 7). Solve -3*r + 0*r = -t*r for r. 0 Let x(g) = -g**3 - 13*g**2 - 24*g - 11. Let h be x(-11). Solve -h = -2*a - 13 for a. -1 Suppose 3*o - 48 = 5*v - 9*v, -32 = -2*o + 5*v. Solve -12*u + 16*u + o = 0 for u. -4 Let a be 27*(-3 - (-6)/3). Let t = -24 - a. Solve -t = 4*r + 9 for r. -3 Let s = 10 + -2. Suppose -s*b = -4*b - 32. Suppose a + b = 3*a. Solve 2*g = 3*g - a for g. 4 Let n(z) = -z**3 - 11*z**2 - 31*z + 9. Let b be n(-6). Solve -15 + b = 5*i for i. 0 Let w(c) = 13*c - 4. Let t(b) = -b**2 + 4*b + 6. Let r be t(5). Let g be w(r). Solve 5*q = g + 6 for q. 3 Let a be (-7)/(-3) - 22/(-33). Suppose -4*b = -a*b - 8. Suppose -z + 7 = -0*y + 5*y, 0 = -4*z + b. Solve k + y = 2 for k. 1 Let k = 56 + -52. Solve -8*f + k*f = -4 for f. 1 Let j = -32 - -72. Suppose j*z - 45*z = 0. Solve -2*f - 17 + 7 = z for f. -5 Let l be (-104)/18 + 2/(-9). Let x = 6 + l. Let p be (-1 - (x + -3))*1. Solve p*b = 5*b + 3 for b. -1 Let r(z) = z**2 - 6*z + 11. Let m be r(5). Solve 5 + 1 = m*h for h. 1 Let m = -77 - -55. Let z = 42 - 67. Let h = m - z. Solve -x - h = -2*x for x. 3 Suppose -j + 5*q = -4 - 24, -2*j - 5*q = 19. Solve o = -j*o - 20 for o. -5 Let g be (-2)/((1 + 1)/(-10)). Let r = -4 - -8. Let m be -12*(4 - 18/r). Solve m*n - n = g for n. 2 Suppose 4 = -2*s + 2*k, -5*s + 6 = 5*k - 2*k. Let f = -26 + 98. Let q = f - 69. Solve s = -i - 2 - q for i. -5 Suppose 619 = 8*k - 213. Suppose 5*b = -3*b + k. Solve -8 + b = -u for u. -5 Suppose 6*d + 44 = -208. Let t = d - -44. Solve -p = t*p for p. 0 Let i(x) = 5*x - 3 + 2 + 2*x. Let s be i(3). Suppose 3*y = -2*f + s, 2*f + 9 = 2*y - 1. Solve 4*p - 2 = y for p. 2 Let a(n) = n**2 - 6*n + 9. Let f(g) = -1 + 5*g - 3 - 4 + 3. Let u be f(2). Let j be a(u). Solve -j*w - 14 + 34 = 0 for w. 5 Suppose 28 - 16 = 3*h. Solve 0*k = -3*k + h*k for k. 0 Suppose 0 = 3*l - 3*k - 2*k - 63, -3*k + 39 = 3*l. Suppose -19*r = -15*r - l. Solve r*o - 5*o = 1 for o. -1 Let f = 32 - 13. Let l(a) = -a**3 - 6*a**2 - 4*a + 10. Let y be l(-5). Suppose -2*s + 2*d = 3*d - 6, -4*s + y*d = 16. Solve -s - f = 5*r for r. -4 Suppose -10*y = -9*y - 9. Suppose -2*j = a - y, 3 = 2*a - 2*j + j. Solve -a*z = -6*z + 12 for z. 4 Let d = 23 - 11. Let x be (6/(-40))/((-1)/(-5))*-4. Solve -x*u = -7*u - d for u. -3 Suppose -5*z = -3*r - 60, -5*z + 62 = 5*r - 38. Solve f = -16 + z for f. -1 Let y be (0/(-2))/1 + (-12)/(-6). Solve -y*l = -3*l - 1 for l. -1 Let g(n) = -n**3 + 12*n**2 + 3. Let k be g(12). Suppose 3*y - 3*c - 9 = 0, -y = c - k + 4. Solve -y = -3*f + 5 for f. 2 Let s(k) = -k**3 - 14*k**2 + 14*k - 7. Suppose 0 = -g - 8*g - 135. Let b be s(g). Solve -12 = 4*z + b for z. -5 Let l be 132/14 + 9/(-21) - 1. Solve -z - l + 5 = 0 for z. -3 Suppose 83 = 5*f - 37. Suppose -z + f - 22
{ "pile_set_name": "DM Mathematics" }
14) to base 10 -289134 Convert 492013 (base 12) to base 3. 2020020002120 -1000000010010000111 (base 2) to base 10 -263303 What is 53402003 (base 6) in base 16? 17f973 310125506 (base 7) to base 16 114d151 Convert -1200476 (base 8) to base 5. -40443443 Convert -ac09 (base 14) to base 13. -10745 Convert -542462 (base 10) to base 6. -15343222 What is 1b517 (base 16) in base 7? 644140 Convert -110200202111112 (base 3) to base 6. -400333535 What is -2353550 (base 7) in base 16? -49019 -20954 (base 13) to base 15 -125e2 -3256395 (base 10) to base 8 -14330113 What is -30301113 (base 4) in base 3? -2122202110 What is -23802 (base 13) in base 6? -1221123 1702006 (base 11) to base 8 13043122 What is -2e233 (base 15) in base 12? -72286 Convert 80c78 (base 14) to base 8. 1135032 14230541 (base 6) to base 3 220200221121 623918 (base 10) to base 3 1011200212002 Convert -13624535 (base 8) to base 3. -12211000202101 What is -12013112213 (base 4) in base 5? -402243413 What is 6954191 (base 10) in base 12? 23b44bb 100000100110010101100 (base 2) to base 16 104cac -13103604 (base 9) to base 8 -30440152 Convert 118899 (base 13) to base 7. 3363210 11101011100111001 (base 2) to base 8 353471 110332130 (base 8) to base 5 14330023242 What is 10110101111100101010 (base 2) in base 6? 23550134 What is -2b0b06a (base 12) in base 15? -b7620a -122223365 (base 7) to base 11 -4380252 Convert -5606023 (base 8) to base 5. -341313134 10100111010100 (base 2) to base 7 43135 14a8a38 (base 11) to base 16 2746fa -30a7b77 (base 12) to base 9 -18240301 Convert -1474691 (base 13) to base 12. -2226258 What is 75245 (base 8) in base 5? 2001042 -3122223101 (base 4) to base 15 -12a5d2 -3995309 (base 10) to base 5 -2010322214 Convert 61a696 (base 11) to base 13. 28ac13 Convert -3dffe7 (base 16) to base 5. -2020010312 -2014304 (base 6) to base 11 -658a5 Convert 196d26 (base 14) to base 5. 212340424 -30412342 (base 5) to base 12 -bb51b -1f031 (base 16) to base 10 -127025 What is -1ad61 (base 15) in base 3? -11102212201 Convert 104511040 (base 6) to base 10. 1906656 What is 157641 (base 9) in base 12? 484b4 Convert -11010010100111100 (base 2) to base 8. -322474 What is 200ad (base 15) in base 6? 2101301 Convert -13111212113 (base 4) to base 11. -10a4158 Convert -226375 (base 8) to base 7. -440434 Convert -12211013 (base 5) to base 3. -12220122111 What is -1123130131 (base 4) in base 12? -160911 -34331213 (base 5) to base 3 -120122220211 What is -545320 (base 6) in base 15? -d629 Convert -10101100101000110111 (base 2) to base 3. -1022220222220 -103216432 (base 7) to base 9 -12522444 What is 327396 (base 10) in base 13? b6034 465707 (base 8) to base 7 1230401 -34630 (base 13) to base 4 -113110210 -5411434 (base 6) to base 5 -32003222 22622436 (base 7) to base 4 13211211021 Convert -210201110 (base 5) to base 7. -10234066 -3134784 (base 9) to base 5 -412122424 What is -cb298 (base 16) in base 12? -3416a0 12700 (base 10) to base 14 48b2 What is 101110110000010011 (base 2) in base 3? 100201200212 -11102122212212 (base 3) to base 7 -26006543 Convert 2397513 (base 10) to base 4. 21021111021 Convert 3131323 (base 9) to base 3. 10011001100210 What is -2141132 (base 7) in base 6? -5341312 -7637170 (base 8) to base 11 -1179442 Convert -3ecb9 (base 16) to base 13. -900c4 What is 23124761 (base 8) in base 3? 100110020222000 b15f (base 16) to base 6 550115 What is 111012100201 (base 3) in base 9? 435321 11ab69 (base 12) to base 10 288513 What is 22100022211 (base 3) in base 4? 220012213 -491381 (base 12) to base 16 -1211d1 What is -353774 (base 8) in base 11? -82864 162345 (base 8) to base 13 20896 -168808 (base 11) to base 4 -333212221 Convert 656243 (base 8) to base 7. 1605225 -1e19d (base 15) to base 12 -48a34 -402041a (base 11) to base 6 -412304331 122200022000021 (base 3) to base 16 8f59c6 What is 4d1c3 (base 15) in base 8? 741777 -10010011111001100 (base 2) to base 13 -2860c Convert -460159 (base 11) to base 7. -6136540 Convert 19ba4a8 (base 12) to base 6. 313135132 What is -67340 (base 12) in base 14? -37cd2 Convert -202021423 (base 5) to base 2. -11000110101110100100 What is 24023341 (base 5) in base 9? 365377 -8670278 (base 9) to base 13 -c6b56a What is -45233342 (base 6) in base 4? -11033100332 Convert 192cc97 (base 14) to base 4. 233213122111 1111110010100100111 (base 2) to base 14 d67c3 20808 (base 9) to base 10 13778 What is -321324 (base 7) in base 4? -31212303 Convert -1551cb (base 15) to base 7. -11516210 What is -392a19 (base 11) in base 9? -1142761 Convert 3329689 (base 10) to base 2. 1100101100111010011001 3bac (base 16) to base 10 15276 What is -13020 (base 11) in base 13? -8651 Convert -16a638 (base 12) to base 14. -a291a What is -42125512 (base 6) in base 11? -767147 Convert 22c296 (base 16) to base 14. 434290 Convert 10203232130 (base 4) to base 6. 41335552 Convert 1235026 (base 8) to base 14. 8cb9c 15282a6 (base 11) to base 3 11220221222210 -2346217 (base 12) to base 11 -3933023 What is 4a2563 (base 11) in base 13? 21a4c1 Convert 40403461 (base 7) to base 12. 1161ba4 Convert 101101011001000000010010 (base 2) to base 7. 203065444 Convert 29669 (base 13) to base 14. 205d2 What is 1310241 (base 6) in base 13? 26647 -30214034 (base 5) to base 14 -64173 Convert -19c46b (base 15) to base 16. -132c35 -3200111113 (base 4) to base 13 -262315 Convert 18241133 (base 9) to base 6. 524430303 What is -323312321 (base 4) in base 15? -4c9a2 -2210001332 (base 4) to base 5 -132444440 Convert 3440000 (base 5) to base 15. 13500 Convert 56717336 (base 8) to base 3. 212010200210210 Convert da328 (base 16) to base 6. 31053400 -60353 (base 13) to base 12 -83605 8116 (base 13) to base 4 10111210 Convert 657694 (base 15) to base 13. 100365a What is 111110011100010 (base 2) in base 15? 9715 82368 (base 9) to base 7 314111 Convert 11354310 (base 7) to base 6. 33313240 1046140 (base 12) to base 10 3079488 What is -ad17b (base 14) in base 15? -84742 3d108 (base 16) to base 3 110201002201 -33412004 (base 5) to base 8 -1077345 What is 404240 (base 9) in base 5? 30124220 Convert 178c5 (base 15) to base 7. 435155 Convert 132913 (base 10) to base 2. 100000011100110001 What is 206182 (base 9) in base 14? 32991 Convert -1835409 (base 10) to base 15. -263c59 Convert 1344145 (base 6) to base 4. 102211001 What is 15661633 (base 8) in base 16? 37639b What is -43315143 (base 7) in base 10? -3701736 Convert 18aec (base 15) to base 14. 21293 Convert 1011110011001100 (base 2) to base 4. 23303030 What is 11100010111110101110111 (base 2) in base 5? 3401001222 What is -10001111111011101011110 (base 2) in base 10? -4716382 78786 (base 10) to base 11 54214 What is 40064103 (base 7) in base 16? 3281b2 -c19513 (base 13) to base 5 -2123122321 -111011011100011100101 (base 2) to base 4 -13123203211 What is 901801 (base 15) in base 6? 402332331 -33030575 (base 8) to base 13 -16134c6 Convert 411442 (base 6) to base 7. 164405 What is -21a69 (base 14) in base 8? -237335 -1033004 (base 11) to base 8 -6741531 48a37a (base 11) to base 2 10111101001110110100 -100102101000110 (base 3) to base 15 -68d759 23b98 (base 13) to base 15 146ec What is -76835 (base 11) in base 14? -2c8ab 42140221 (base 5) to base 11 21959a What is -133445515 (base 6) in base 11? -1582294 What is -227614 (base 9) in base 4? -201121312 3741714 (base 8) to base 14 1cc736 What is 540a3b (base 13) in base 8? 7414341 What is 67248 (base 12) in base 16? 21698 Convert 24a1a3 (base 12) to base 6. 20453123 What is 2284a (base 12) in base 7? 251341 2102001002012 (base 3) to base 9 2361065 What is -3167627 (base 8) in base 7? -10130424 -2281138 (base 9) to base 2 -100101101010110001001 Convert 100000011222 (base 3) to base 16. 2b481 Convert -1515481 (base 10) to base 13. -410a46 What is -10110111110010011011101 (base 2) in base 6? -333025153 -4307650 (base 9) to base 10 -2308545 1202121 (base 8) to base 13 b6862 What is -13c04 (base 13) in base 4? -21011000 Convert -17b655a (base 12) to base 5. -2232421222 -1d9a82 (base 15) to base 6 -51030035 34660143 (base 7) to base 8 13521651 -412551 (base 6) to base 3 -1200022211 Convert 41a3c (base 15) to base 6. 4243450 140150022 (base 7) to base 2 100010101010101100111001 Convert 676056 (base 8) to base 7. 1640612 What is -3210331012 (b
{ "pile_set_name": "DM Mathematics" }
h**4 + 3*h + 0 + 1/30*h**l. Differentiate m(p) wrt p. 4*p**3 Let i = 1 - -3. What is the second derivative of -2*f - 3*f**i + 4*f**4 - 2*f**4 - 2*f wrt f? -12*f**2 Let q(m) be the third derivative of m**6/120 - 7*m**3/6 - 20*m**2. What is the derivative of q(z) wrt z? 3*z**2 Find the second derivative of -125*c + 0*c**2 - 41*c**2 + 47 + 127*c - 7*c**2 wrt c. -96 What is the second derivative of 3*k**5 + 5*k - k + 5*k**5 - 5*k**5 wrt k? 60*k**3 Let n(j) be the third derivative of 0*j**3 + 1/336*j**8 - 1/8*j**4 + 0*j**7 + 0*j + 0 - 3*j**2 + 0*j**5 + 0*j**6. Find the second derivative of n(v) wrt v. 20*v**3 Let t(u) be the second derivative of -u**8/420 + u**6/90 - u**3/6 - 2*u. Let k(g) be the second derivative of t(g). What is the third derivative of k(m) wrt m? -96*m Let k(j) be the first derivative of -j**6/120 + j**5/24 - j**3 - 2. Let w(a) be the third derivative of k(a). Find the second derivative of w(b) wrt b. -6 Let n(i) = -8*i**2 + 9*i + 2. Let b(j) = -31*j**2 + 36*j + 9. Let g(q) = -2*b(q) + 9*n(q). Find the second derivative of g(v) wrt v. -20 Let w(q) be the third derivative of -1/6*q**3 + 4*q**2 + 0 + 0*q**5 + 1/24*q**6 + 0*q + 0*q**4. Find the first derivative of w(j) wrt j. 15*j**2 What is the derivative of -353*c + 68 - 36*c**4 + 353*c wrt c? -144*c**3 Let a(i) be the third derivative of 1/8*i**4 + 0*i + 1/30*i**5 + 0 - 5*i**2 + 0*i**3. What is the second derivative of a(v) wrt v? 4 Let f(a) = -15*a**3 - 13*a**2 + 20*a - 9. Let s(c) = -7*c**3 - 6*c**2 + 10*c - 4. Let t(l) = 4*f(l) - 9*s(l). Find the third derivative of t(p) wrt p. 18 Suppose -2*d + 5*g + 16 = 0, -d - 2*d - 4*g + 24 = 0. Suppose -2*p = -d + 2. Find the third derivative of p*n**2 - n**5 + 4*n**5 + 0*n**2 wrt n. 180*n**2 Let r(p) be the second derivative of 0 + 7/12*p**4 + 3/2*p**2 + 0*p**3 + 3*p. What is the first derivative of r(b) wrt b? 14*b Suppose 5*v = v + 28. What is the derivative of -22*h + 22*h - 2*h**3 + 11*h**3 + v wrt h? 27*h**2 Let b(c) = 12*c**2 - 3*c - 6. Let v(r) = -13*r**2 + 3*r + 7. Let l be (-23)/4 + 18/(-72). Let o(k) = l*v(k) - 7*b(k). Find the second derivative of o(a) wrt a. -12 Let s(m) be the third derivative of -m**5/12 + m**3/2 - m**2. Let l(t) = -11*t**2 + 6. Let g(u) = 6*l(u) - 13*s(u). Find the first derivative of g(r) wrt r. -2*r Let a(b) = 17*b + 13. Let y(x) = 17*x + 14. Let t(r) = 2*a(r) - 3*y(r). What is the derivative of t(k) wrt k? -17 Let z be (4/6)/((-3)/(-9)). Find the third derivative of 3*u**5 + 3*u - 4*u**2 + 7*u**z - 3*u wrt u. 180*u**2 Let n(u) = u**2 + 1. Let t(l) = -26*l**3 - 6*l**2 + 3*l - 6. Let h(x) = 6*n(x) + t(x). What is the second derivative of h(i) wrt i? -156*i Let l be (-2)/(-2)*(-1 + 5). Let z = 7 - 4. Differentiate z*b**3 - 2*b**3 + 1 - l wrt b. 3*b**2 Suppose -18 - 2 = 4*h. Let t = h + 10. What is the derivative of 8 + c**2 + 2*c**2 + 1 - t wrt c? 6*c Let x(s) = 10*s**2 - 2*s - 3. Let z(f) = -19*f**2 + 5*f + 5. Let j(q) = 5*x(q) + 3*z(q). Find the second derivative of j(v) wrt v. -14 Suppose 0*w - 16 = -5*m + 4*w, -4 = -4*w. Find the third derivative of 3*o**2 - 5*o**4 + 4*o**5 + 5*o**m wrt o. 240*o**2 Let a(t) be the second derivative of 5*t**3/6 - 13*t**2 + 18*t. Differentiate a(i) with respect to i. 5 Let y(b) = b**3 + 5*b**2 - 6*b. Let c be y(-6). Suppose -m + 5 - 3 = c. Find the third derivative of 0*o**2 - 5*o**3 - 2*o**m + 3*o**3 wrt o. -12 Suppose 5*s + 2*b = 7*b - 10, 2*s - 12 = -2*b. What is the derivative of 3*u - 27 + 23 + 5*u**s - 3*u wrt u? 10*u Let n(a) be the third derivative of 0*a**4 + 0*a + 1/6*a**5 + 0 + 1/48*a**8 + 0*a**3 - 5*a**2 + 0*a**6 + 0*a**7. What is the third derivative of n(o) wrt o? 420*o**2 What is the third derivative of -2*f**2 - 27*f**4 - 847*f + 847*f - 2 + 4 wrt f? -648*f Suppose 5*g - 4 = 3*g. Find the second derivative of -6*j**2 + j**g + 0*j - 5*j + 7*j**2 wrt j. 4 Let x(n) be the third derivative of n**7/30 + n**6/120 - 12*n**3 + 3*n**2 + 3*n. Differentiate x(f) with respect to f. 28*f**3 + 3*f**2 Let r = 35 + -23. Suppose -r = -3*m - m. What is the second derivative of -2*q**5 + 6*q**3 + 0*q**5 + q - 6*q**m wrt q? -40*q**3 Let x(o) be the third derivative of -2*o**7/105 - 3*o**5/20 + 5*o**2. Find the third derivative of x(s) wrt s. -96*s Let d = 21 + -17. Find the second derivative of -a**d + 3*a - 8*a - a wrt a. -12*a**2 Find the second derivative of 3*r - r + 2*r**4 - 4*r**4 wrt r. -24*r**2 Let k(u) = 3*u**3 - u - 2. Let a(p) = 1 + 0 + 2 - 2 + p**3. Let v(f) = 2*a(f) + k(f). Find the second derivative of v(q) wrt q. 30*q Let w(u) be the first derivative of -12*u**5/5 - 4*u**3 - 2. Find the third derivative of w(d) wrt d. -288*d Let i(n) be the third derivative of -n**9/252 - n**6/10 + 47*n**5/60 + 21*n**2 - 2*n. What is the third derivative of i(g) wrt g? -240*g**3 - 72 Let l(i) = 2*i - 31 - i + 36. Let r be l(-6). Let f(o) = -3*o**2 - 1. Let z(b) = b**2. Let x(s) = r*f(s) - 2*z(s). Find the first derivative of x(u) wrt u. 2*u Let i(t) be the first derivative of 0*t**2 + 0*t**4 + 2/5*t**5 + 0*t**3 + 2 - 2*t. What is the first derivative of i(b) wrt b? 8*b**3 Let x(w) = 3*w - 23. Let k(a) = -5*a + 35. Let b(h) = -5*k(h) - 8*x(h). Find the first derivative of b(l) wrt l. 1 Let t(p) = 6*p**3 + 4*p**2 - 4*p - 1. Let n(z) = 12*z**3 + 7*z**2 - 7*z - 1. Let u(b) = 4*n(b) - 7*t(b). What is the first derivative of u(d) wrt d? 18*d**2 Let i(b) be the third derivative of 0*b**4 + 0*b**5 + 1/35*b**7 + 0*b + 5/6*b**3 - 3*b**2 + 0*b**6 + 0. Find the first derivative of i(x) wrt x. 24*x**3 Suppose -2*m + 3 = -9. Suppose t - 2*p - 12 = 0, -m*p = 3*t - 2*p + 14. What is the second derivative of 2*z + z**2 - t*z**2 - z**2 wrt z? -4 Suppose -2*l = 3*l - 15. Suppose -2*q + q + l = 0. What is the third derivative of -z**3 - 4*z**2 + z**q - 4*z**3 + 2*z**3 wrt z? -12 Find the first derivative of -28 + 3*z + 49 - 32*z + 22 - 2*z**2 wrt z. -4*z - 29 What is the derivative of -3 + 10*q**2 - 10 - 6 - q**2 wrt q? 18*q Let p(w) be the first derivative of 7*w**3/3 - w**2 + 4. Find the second derivative of p(t) wrt t. 14 Find the second derivative of z**4 - 4*z + 0*z**4 + z wrt z. 12*z**2 Let v(o) = -34*o**3 - 8*o**2 + 36*o - 8. Let x(m) = 23*m**3 + 5*m**2 - 24*m + 5. Let n(p) = -5*v(p) - 8*x(p). What is the second derivative of n(j) wrt j? -84*j Let a(x) be the first derivative of -14*x**5/5 - 28*x + 25. What is the first derivative of a(b) wrt b? -56*b**3 Find the third derivative of -5*s**4 + 18*s**2 - 3*s**4 + 11*s**4 wrt s. 72*s Let t be 32/14 - 4/14. Suppose 0 = 4*a - 16, 2*l - 26 = -l - 5*a. Differentiate -t*s**l + 6 - 4 + 0 with respect to s. -4*s Let v(o) = 56*o**5 + 11*o**3 + 209*o - 11. Let q(x) = -11*x**5 - 2*x**3 - 42*x + 2. Let c(a) = 11*q(a) + 2*v(a). Find the second derivative of c(g) wrt g. -180*g**3 Differentiate 3 + 1 + 5 - 7 + 15*q wrt q. 15 Let o(x) = 30*x**4 + 5*x**3 - 5*x**2 - 31. Let j(s) = -29*s**4 - 6*s**3 + 6*s**2 + 30. Let f(w) = -5*j(w) - 6*o(w). What is the derivative of f(y) wrt y? -140*y**3 Let a(t) be the second derivative of 0 - 5/2*t**2 + 0*t**3 + 3/10*t**6 - 7*t + 0*t**5 + 0*t**4. Differentiate a(h) with respect to h. 36*h**3 Suppose 0 = j - 3. Find the second derivative of t + 2*t + 2*t**4 + 3 - j wrt t. 24*t**2 Let o be -4 + (0 - -3) + 3. Suppose -2*l = -3*z - 19, o*z = -0*l - 4*l - 2. What is the third derivative of 3*h**2 + h**5 - 3*h**l - 2*h**2 wrt h? 60*h**2 Let x(i) = -i**2 - i + 1. Let h(v) = -24*v**2 - 20*v + 18. Let s(w) = -2*h(w) + 36*x(w). Find the second derivative of s(g) wrt g. 24 Let t(p) = -p - 5. Let b be t(-7). Suppose d - b = -0*d. Find the third derivative of -m**2 - 3*m**3 - 5*m**2 + d*m**2 wrt m. -18 Let k(w) be the third derivative of w**5/15 - 11*w**3/6 - 10*w**2. What is the derivative of k(m) wrt m? 8*m What is the third derivative of 14*f**3 + 34*f**2 - 5*f**3 + 8*f**3 + 1 + 9*f**3 wrt f? 156 Let i(a) = 2*a**5 + 3*a**4 + 7*a + 3. Let t(l) = -l**5 + l**4 + l + 1. Let q(y) = -2*i(y) + 6*t(y). Find the second derivative of q(s) wrt s. -200*s**3 Let k(u) be the third derivative of -u**8/1680 - u**6/120 + u**3/2 + 2*u**2. Let g(f) be the first derivative of k(f). Find the third derivative of g(z) wrt z. -24*z Let w(a) be the second derivative of -7*a**6/15 - 11*a**2 + 3*a - 13. Differentiate w(u) wrt u. -56*u**3 Suppose 5*u +
{ "pile_set_name": "DM Mathematics" }
e nearest to 1/4? (a) v (b) r (c) -1/11 b Let g = 5.7 + -6. What is the nearest to g in 0.5, 2/5, 5? 2/5 Let g = 0.49 + -0.89. Let i = -1 - -2. Which is the nearest to i? (a) -3 (b) g (c) 1/6 c Let s = -0.13 - -0.33. What is the nearest to 0 in 0.4, 1/3, s? s Let z be (-72)/30 + 1 - 4/(-10). What is the nearest to -0.2 in -5, 1/7, z? 1/7 Let n = 6 + -5.8. Which is the nearest to 1? (a) 3 (b) n (c) -5 b Let x = 55 - 59.8. Let k = x - -5. Let j be 2/(-5)*(-10)/(-34). Which is the nearest to -0.1? (a) k (b) j (c) 3/4 b Let p = -108 + 107.93. Which is the nearest to -0.2? (a) 5 (b) p (c) -0.2 c Let b = -1.81 + 0.81. Let q = 3 - 3. Suppose -3*l + 2*l + 5*g = 21, -5*l - 3*g + 35 = 0. What is the closest to q in -0.4, b, l? -0.4 Suppose -5*w + 8 = -t - 6*w, -3*t = w + 16. Let m be -1*(-3 - 0 - t). Let u = 0 - 0.1. Which is the closest to u? (a) -3/7 (b) m (c) -2/3 a Let q be 116/36 + -1 - 6/3. What is the closest to -13 in -1/12, 4, q? -1/12 Suppose 6*u + 37 - 13 = 0. Which is the nearest to -13? (a) 1/5 (b) 4 (c) u c Let k = -190 - -187. Suppose -4*c + 20 = 4*f, 3*f + 0*c = -2*c + 14. What is the closest to 0 in k, 2/3, f? 2/3 Let n be (-2 - -4) + 55/(-30). Let k be 9/42 + 2/(-4). Which is the nearest to 0.1? (a) n (b) k (c) -2/19 a Let f = 1.1 - 0.8. What is the closest to 0 in f, 4, -3? f Let y = 32.9 + -33. Which is the closest to y? (a) 1/4 (b) -1/7 (c) 22 b Let x = 0.48 - 0.38. Which is the nearest to x? (a) 2 (b) -4/7 (c) 5 b Let s = -0.05 + -0.15. What is the nearest to 2/3 in -0.1, 1/6, s? 1/6 Let a be ((-25)/(-15) + -2)*-1. What is the nearest to 0 in a, 4/5, 3? a Let z = 1 - 1.1. Which is the nearest to z? (a) 2/11 (b) 3 (c) -2/17 c Let t = -1 - -0.9. Let h = -77.5 + 78. Let o = 0 - 0. Which is the closest to o? (a) t (b) 0.3 (c) h a Let j = 1952/15 + -130. Which is the nearest to -6? (a) 0.4 (b) -4 (c) j b Let d = 23 + -22.91. Let u = -4.09 + d. Let p = 1.5 - -0.5. Which is the closest to 2/7? (a) p (b) u (c) 3 a Let t = -0.11 - -0.05. Let w = t - -0.36. Let m = -8 + 3. Which is the nearest to -0.1? (a) -2 (b) m (c) w c Let c be 3*4/72 - 0. Let l = 2/21 - -4/21. What is the closest to 1 in -0.2, c, l? l Let i = -2 + 1. Let v = 3 - 4. Let n be v - (0 + -1) - 0. What is the nearest to i in -3, 3, n? n Let r = 1.9 - 2. Suppose -2*w + 2 = -3*o - 2, -3 = -o + 5*w. Which is the closest to 0.1? (a) o (b) -3 (c) r c Let j = -21 - -22.9. Let z = 0.1 + j. Let u = 2 - 2.5. Which is the nearest to 2/5? (a) -0.4 (b) u (c) z a Let v = -1/22 - 5/11. Which is the closest to v? (a) 2 (b) 0.2 (c) -5 b Let t = 39 - 42.6. Let q = t - -2.6. Which is the nearest to -0.1? (a) -4 (b) q (c) -3 b Suppose a - 1 = -19. Let s = a - -37/2. Suppose -4*b - 31 = -5*g, -28 = -4*g + 2*b + 2*b. What is the closest to -1/3 in -0.3, g, s? -0.3 Let g = -79939 + 721708/9. Let l = 251 - g. What is the nearest to 0.1 in 0.3, -0.2, l? l Suppose m + m = 0. Which is the nearest to 2? (a) -2/5 (b) m (c) 1/5 c Let b = 1 - -2. Let y = -52/69 + 2/23. What is the closest to 1 in b, 4, y? y Let r be ((-15)/(-12))/((-9)/(-156)). Let f = -334/15 + r. Which is the closest to 0? (a) 3/4 (b) 0.4 (c) f b Let h be (8/20)/((-2)/10). Let d = -1.22 + 0.22. What is the nearest to d in h, 0.1, 2? h Let k = -11.4 - -11. What is the nearest to 2/3 in -5, k, -2? k Suppose -40 = 3*a + 2*d + 3*d, a + 8 = d. Let q be -1 + 2 + a/12. What is the nearest to -3 in q, 2, 4/3? q Let f be 60/84 - (1 - 0). Which is the closest to -0.4? (a) -2 (b) -4 (c) f c Let u = 3 + -2.8. Let z = 3 - 3.2. Let y = 0.3 + -0.5. Which is the nearest to y? (a) u (b) z (c) 1/6 b Let i be (-1)/6 + (-1)/(-2). Let x = 3.4 - 1.4. Let d = 3/4 + -1/4. Which is the nearest to i? (a) x (b) d (c) 3 b Let d be (2/32)/(3/(-18)). Let h = -2.2 + 2.7. What is the nearest to -1/5 in d, h, -2/11? -2/11 Let z be 6/(-15)*25/4. What is the nearest to 2 in 0.3, z, -0.5? 0.3 Let u = -18 - -17. Let n = -20/9 - -2. Which is the closest to u? (a) 0.1 (b) -3 (c) n c Let v = 1.1 + -13.1. Let m = -12.4 - v. What is the nearest to -2/3 in m, 0.1, -5? m Let a = 2 - 0. Let h = -2 - a. What is the closest to 0 in h, 4/5, 1? 4/5 Let u = -11 - -9. What is the closest to u in 2/5, 4, 0? 0 Let f = -4.9 + 5. What is the nearest to f in -0.4, -0.2, 6/11? -0.2 Let c = -0.98 - -1.98. Let u = -0.6 - 3.4. What is the nearest to -2/7 in u, c, 0.3? 0.3 Let u = 16 - 16. What is the closest to -3 in u, -1, -2? -2 Let h = 961469/405 - 2374. Let c = h - -823/5265. Let m = 13/22 - 1/11. What is the closest to m in 1/5, 1, c? 1/5 Let g = 0 + -0.2. Let n = g - -0.7. What is the nearest to 0 in n, -1/6, -1? -1/6 Suppose -3 = -j - 0. Let w = 3 - 2.9. Let v = -3 - -4. What is the nearest to -1 in v, j, w? w Let j be 10/9 - (3 + -2). Let z = 0.234 + -0.534. What is the nearest to 1 in -1/5, j, z? j Let s = -1.1 - 3.9. Let r = 245/4 + -61. Let k = -3/56 - 11/56. Which is the nearest to r? (a) k (b) s (c) 0.3 c Let t = 464/21 - 63757/2877. Let g = t - -1003/11097. Let y = 23/162 + g. What is the nearest to 1/4 in 2/7, -1/2, y? 2/7 Let t be (130282/18)/((-50)/(-15)). Let n = -2172 + t. Let r = 3/10 + n. Which is the closest to 1? (a) 1 (b) 2 (c) r a Let s = 24.9 + -23. Let j = 2.1 - s. Which is the closest to 0? (a) -4 (b) 3 (c) j c Let u = -11.9 + 12. Which is the nearest to -0.1? (a) 2/7 (b) u (c) -5 b Let s = -2 - -1. Let o = -0.1 - 0.9. Let j be (-5)/(0/1 - 2). Which is the closest to o? (a) j (b) s (c) -1/2 b Let o = -1 + 5. Suppose -2*r + 7 = 1. Suppose 8*h - 4*h = -m - 9, -r*h = m + 7. What is the closest to 1 in m, o, -1/6? -1/6 Let f = 76 - 75. What is the nearest to f in -2, -2/7, 0.5? 0.5 Let a = 16 + -16. What is the closest to 0 in -1, 5, a? a Let q = -4.4 - -11.4. Let p = -1 - -2. What is the nearest to p in 0.1, q, 0.4? 0.4 Let s be (-16)/2*(14/4 - 4). Let x = -2.6 - -0.6. Which is the closest to 2/5? (a) -1 (b) x (c) s a Let v be (-2 + -3)*3/(-5). Let s be -4 + 2 - (-3)/1. What is the nearest to -0.3 in s, -0.3, v? -0.3 Let u = 0.7 + -1.1. Which is the closest to -0.1? (a) -2/7 (b) -0.3 (c) u a Suppose -4 = -5*j + 11. Which is the nearest to -2/5? (a) j (b) 4/11 (c) -2/7 c Let q = -153 - -613/4. Which is the closest to -6? (a) 5 (b) -2 (c) q b Suppose -4*u + n = -2 + 6, 4*u + 2*n = 8. What is the closest to u in 2/7, 1, 9? 2/7 Let q = -344/5 + 69. Let u be (4/(-30))/(10/30). Which is the nearest to q? (a) -3 (b) u (c) 3 b Let j = -1.5 + -0.5. Let l = 23619 - 166122/7. Let q = l - -113. What is the nearest to q in -1/2, j, 0.4? 0.4 Let z = 7 + -11. Let i = 91/428 + 4/107. Which is the closest to -2? (a) i (b) z (c) 1 b Let t = -101 + 102. Let j = 0.9 - -4.1. Which is the nearest to -1/4? (a) 0 (b) t (c) j a Let n = 3 - 5. Let h = 0.7 - 0.4. Let v = h + -0.2. Which is the nearest to 1/4? (a) v (b) 0.5 (c) n a Suppose -2*w = -w. Which is the nearest to w? (a) 3/2 (b) -3/5 (c) 4 b Let q = -166 + 171. Let p = 2 + -6. Let y = p - 0. What is the closest to 0.2 in y, -2/9, q? -2/9 Let k = -0.06 + -0.24. Let t = k + 2.3. Let l = -10.1 + 10. Which is the closest to l? (a) 0.5 (b) -5 (c) t a Let f = 49 + -49.5. Which is the closest to 3/7? (a) -3/2 (b) 0.3 (c) f b Let d = -1 + 0.6. Which is the nearest to 3/4? (a) d (b) -0.06 (c) 3 b Suppose 0 = 3*p - 9 - 0. Suppose 2 = -p*y + 17. Let l = -1.2 + 0.2. Which is the nearest to l? (a) -0.3 (b) y (c) -0.1 a Let x = -0.35 + 0.34. What is the nearest to x in -1/6, -1, 3? -1/6 Let q = 21 - 18. Which is the nearest to 0? (a) q (b) -4 (c) -2 c Let l be 8/6*(8 - 5). Let u(f) = f**3 - 5*f**2 + 2*f + 8. Let j be u(l). Which is the closest to -3? (a) -2/13 (b) j (c) 2 a Suppose y - 3 = 2. Let l(w) = w - 2. Let p be l(y). Which is the closest to -3/7? (a) p (b) 4 (c) 2 c Let t = -6 - -5.5. Let p = -0.5 + 0.4. Which is the closest to 2/9? (a) t (b) 5 (c) p c Let r = 53 + -78. Let j = r - -23. Suppose 2*u + 2 + 8 = 0. Which is the closest to 1? (a) -1/4 (b) j (c) u a Let d be 2 + 0 - (-48)/(-27). Which is the closest to -2? (a) d (b) -4 (c) 0.5 b Let g be 9/15 + (-21)/60. What is the closest to g in 1, 0.3, -0.2? 0.3 Suppose 4*g - 24 = -0*g. Let i = -4 + g. Let n = -103.1 + 103. Which is the closest to
{ "pile_set_name": "DM Mathematics" }
ve 3*a - a = -2*h - 2, l*h + 3 = -5*a for a. 1 Suppose 14 = -214*p + 228. Suppose 0 = -2*n + n - 5*v - 17, 20 = -5*v. Solve 0 = -n*w + z + p, w + 16 + 5 = -5*z for w. -1 Suppose 83*j - 38*j = 180. Solve 3*p - 8 - 8 = n, -j*n = -3*p + 19 for n. -1 Let y(f) = -f**3 + 10*f**2 - 8*f - 6. Let r be ((-2)/5)/((-3)/(-90)). Let j = r - -21. Let h be y(j). Solve i - 7 = -h*b, 0 = -4*b + 3*b + 1 for i. 4 Let y(i) = -i**2 - 8*i + 24. Let f be y(2). Solve -3*d + f*a + 4 = d, 2*d = -a - 4 for d. -1 Suppose 2*w + 18 = -a + 5, 2*a + 29 = -5*w. Let q be -1 - (a - -2)/5. Solve -5*l - 2*k + 23 = -q*k, -13 = -3*l - k for l. 3 Let s be (-9 - -11)*(27/2)/(-3). Suppose c - 65 = -0*m - 5*m, m - 13 = -3*c. Let l = s + m. Solve -4*x - 31 = 3*f, 2*x = l*x - 2*f - 2 for x. -4 Let u = -1913 + 1935. Solve 19 = -4*l - 4*c - 1, 5*c + u = -2*l for l. -1 Let t(u) = u**3 + 6*u**2 + 4. Let k be t(-3). Let v = k - 1. Solve 0 = -g - 3*l - 2*l + v, 4*l - 25 = -g for g. 5 Suppose 109*d - 75 = 84*d. Solve b - 9 = 4*r, -d*r = -5*b - 0*b + 11 for r. -2 Let i = 6 - 6. Suppose 2*b - 2*u - 2 = i, -3*b - 2*u + 10 + 3 = 0. Let d(x) = -x**3 + 4*x**2 - 3*x + 4. Let n be d(b). Solve n*f + h - 25 = -f, 10 = 2*h for f. 4 Let r be -4*(-21)/(-28)*10/(-3). Suppose r = 5*w - 0*w. Solve 5*g = 3*a - 7*a + 6, 2*g = w*a - 12 for a. 4 Suppose 8*j = 3*j - 15, 0 = i - 3*j - 21. Let k be 0 + i + -3 + -4. Suppose f = 2*f - k. Solve 0 = 3*t + f*q + 17, -q + 4*q = -2*t - 10 for t. 1 Let s = -329 - -329. Solve 5*o = -3*z, z - 3*o + 2*o - 8 = s for z. 5 Suppose -x - 2*a + 4 = -8, 4*x + 5*a - 48 = 0. Let h = 94 + -86. Let n = x - h. Solve -4*g = -n*r + 2 - 10, 2*r = -3*g + 11 for r. 1 Let q = -22 + 51. Let b(u) = 4*u - 1. Let l be b(1). Suppose x - q = -l*c, x = c - 6*c + 47. Solve -3*g - 12 = g - 4*v, 3*v - c = 0 for g. 0 Let f(k) = 6*k**3 - 4*k**2 + 4*k - 1. Let l be f(1). Solve -2*a = l*g, -5*g - a = -3*a - 20 for g. 2 Suppose -5*l = -4*o + 28, 3*o - 5*o + 8 = -l. Suppose -8 = o*w - 6*w. Suppose w*i - 11 = -1. Solve 29 = -i*t - 2*k, -3*t - 2*k - k - 21 = 0 for t. -5 Let a(p) = -4*p**2 + 7*p - 8. Let x be a(3). Let u = x + 35. Solve -5*s = 5*r - 40, 2*s + 5*r - 4*r - u = 0 for s. 4 Suppose 4*p - 5*n - 121 = 0, -4*p + 5*n = -3*p - 49. Suppose -p = -5*r - 14. Solve -4*y + t - 3 = 0, -3*t + 2*t = r*y - 3 for y. 0 Let m be 0 - -7 - (1 - -1). Suppose 5*x = 5*j - m - 0, -5*x - 5*j = -45. Solve 4*n + 8 = -3*i, -n = 4*n - x*i + 10 for n. -2 Suppose 30 = -192*d + 195*d. Solve -3*x + 20 = -5*j + j, -2*j + 5*x = d for j. -5 Suppose 5*h - 45 = -3*v - 21, 5*v + 4*h = 27. Solve 40 = 3*o + 5*k, -v*o + 40 = 2*o + 3*k for o. 5 Let q be 3*(-3 + 10/6) + 8. Suppose 13 = q*c - r, 0 = 5*c - 3*r - 9 - 2. Solve -3*t - 5*w = -31, -3*t = -0*w - 2*w + c for t. 2 Let k be 2/((20/15)/2). Solve -3 = s - k*t, 20 = -2*s + 6*s + 4*t for s. 3 Let n = 13 - 10. Let l be 0*(20/(-8) + n). Let m be (-24 - l)*(-24)/18. Solve -2*f - m = 2*f + 4*d, 0 = -f + 2*d + 7 for f. -3 Suppose -5*i = 2*x - 25, 0 = 2*x + 4*i - 11 - 9. Solve 2*l = a + 14, -5*a - 2*l + 4*l - 30 = x for a. -4 Suppose -16 = -2*y + 16. Let n be (-5)/(-15) - y/(-6). Let x be ((-8)/2)/(-2) + n. Solve 5*k + 15 = 4*o + o, -x*o + 14 = -4*k for k. -1 Let h = 8 - 3. Suppose -5*q + 17 - 2 = -h*g, 0 = -3*q + 9. Solve g*a - r = -a - 5, -2*a = -r + 8 for a. -3 Let s(o) = o**2 + 2*o + 3. Suppose -3*n = 2*i + 23, 0 = -0*n - 2*n - 4*i - 2. Let t = n + 8. Let y be s(t). Solve 2*c = 5*b - 0*c - y, 2*b + c - 6 = 0 for b. 2 Suppose -2*p + 272 = 15*p. Solve 5*y - 2*y = 2*w - 2, -p = 4*w - y for w. -5 Let v(q) = -2*q**2 - 10*q + 52. Let y be v(-8). Solve 3*a = y*t + 1, 0*a + a + 4 = -3*t for t. -1 Let b(s) = 2*s**2 + 3*s + 2. Let w(g) = -g. Let q(n) = b(n) - 4*w(n). Let f be q(-4). Solve -4*l + 33 = -5*j, l - j - f = 1 for l. 2 Suppose 2*b = 4*b - 5*l - 89, b - 41 = -l. Let z be (-6 + 4)*b/(-4). Solve -3*f + 3*t = -z, -2*f + 3*t = -0*f - 17 for f. 4 Let b(t) = -6*t - 4. Let z be b(-2). Suppose -3*u = -z*u + 2*l - 6, -4*l = -5*u - 12. Let f = u - -5. Solve -f*p = -25, -2 + 8 = -3*m + 3*p for m. 3 Let l be 8/6 - 176/(-12). Let s(t) = t**2 - 15*t - 8. Let h be s(l). Solve 0 = n + 4*j + 6, 3*n - j - h = 0 for n. 2 Let f(l) = l**2 - 8*l + 4. Let b be f(8). Suppose 12 = b*h - 16. Let p be 12 - (3 - h)/(-2). Solve -4*y - p + 33 = -5*g, 16 = -2*g + 5*y for g. -3 Suppose -4*h + 4*s + 31 + 9 = 0, 4*h - 45 = 5*s. Let p be (-2)/9 - (-61)/(-9). Let v = p + 11. Solve o - g = 4, 0*o - v*g + h = 3*o for o. 3 Let f(b) = 2*b - 2. Let p be f(4). Let j = -2278 - -2287. Solve 5*w = -3*x - p, 2*x = x + 2*w + j for x. 3 Let y be -4 + 3*(-10)/15. Let z be (0 + -4)/4 - y. Solve -5*k - 10 = z*l, -2 = -k + 3*l + 12 for k. 2 Let q(x) = 4*x - 5. Let k be q(6). Suppose -18*l + k*l - 6 = 0. Suppose -10*t - l = -12*t. Solve 0 = -t*r - g + 15 + 2, g = 4*r - 11 for r. 4 Let w = 2099 + -2093. Solve 12 = -2*n + 2*d - w*d, d - 4 = 3*n for n. -2 Let r = 14 - 16. Let y = r + 6. Suppose -5*m + 10*m = 0. Solve 0 = y*w, m = 5*u - u - 5*w - 16 for u. 4 Suppose -20*y - 4 = -84. Let s(a) = 3*a**2 - a + 2. Let r be s(-2). Solve -3*i + 22 = -5*i + y*k, 2*i - 2*k + r = 0 for i. -5 Suppose 27 = 4*q + b + 13, 2*q + 2*b - 10 = 0. Solve -q*x - 2*n = 4, -2*x - 2*x + 23 = -3*n for x. 2 Let d be 5 + 12/(-2) + 36. Suppose 2*g + 4 - 23 = -3*w, 4*g + 3*w = d. Solve g*l - 3*l - 29 = -3*a, -5*a - 5*l + 35 = 0 for a. 3 Suppose 2*t = 2*u - u - 30, -150 = -4*u + 2*t. Solve 5*p + 5*c = u, 0 = p + 3*p - 3*c - 4 for p. 4 Let t be (59 + -59)/(0 + 1). Let z = 0 - 0. Let p be 30 + (z - -1*1). Solve 4*v + 3*i - p = t, 4*v - 4*i - 6 = -2*i for v. 4 Suppose -q - 3*o + 2 = 0, 4*q - 4*o - 8 = -0. Suppose 10 = -q*z + z. Let v be z/(-40) - 14/(-8). Solve -5*d + 4*c = 3*c - v, -5*d - 4*c + 17 = 0 for d. 1 Let w = 3 + 14. Let q be (-4 - 60/(-25))*-45. Let o = -62 + q. Solve -4*x - w = m, 4*m + m = -x + o for x. -5 Let i(k) be the second derivative of k**5/20 + 17*k**4/12 - k**3/6 - 8*k**2 - 42*k. Let t be i(-17). Solve 3*h = -s + t - 0, 4*s + 14 = -3*h for h. 2 Let j(u) = u**3 - 5*u**2 + 3*u + 4. Let a be j(4). Solve -3*m + 7*m - 4*g - 4 = a, -3*g - 1 = -5*m for m. -1 Suppose -3*l - 2*l + 83 = 3*t, 4*t + 3*l = 118. Let m = t + -29. Solve f + 5*y - 13 = 3*f, 2*f + m*y = -6 for f. -4 Let u be 12/(12/(-5)) + 8. Let q be 1*(-5)/(-2)*2. Let r = 22 - q. Solve 4*d - 5 = -r, -u*d = -4*x - 7 for x. -4 Suppose -5*r + 35 = -5*o, -r + 5*o = r - 2. Suppose -3*l - 34 = r. Let q = l - -36. Solve 2*m - 1 = 1, 4*m + q = 5*i for i. 5 Let a(j) = j**2 - 1 + 9 - 29 + j + 9. Let w be a(-5). Solve u - 3*u + 8 = 4*i, -u - w = -4*i for u. 0 Let s be 85/25 + -1 + 6/(-15). Solve 4*y = -s*c - c - 29, -3*c = 2*y + 19 for c. -3 Let r = 35 - 14. Suppose 70 = 5*u - 5*v, r = 4*u + 4*v - 3. Let h = 12 - u. Solve -h*n - 5*f = -2, 0*n - 16 = 5*n + 2*f for n. -4 Let j(w) = -w**2 + 15*w - 25. Let u be j(7). Suppose -8*r + u + 1 = 0. Solve -3*s + 8 = 2*d, -s = 3*d - r - 8 for d. 4 Let b be (-5 - -2 - 28/(-7))*1. Solve j = -1 - b, -k + 1 = -2*j for k. -3 Let u(h) = -h - 2*h + 2*h - 1. Let o be u(-3). Solve 0 = 4*f - 3*l - 2, -3*f + o*l + l + 3 = 0 for f. -1 Let i = 84 + -69. Suppose 30 = -7*b + 13*b. Solve 2*k = 3*o - 0*o - 14, -i = -5*o - b*k for o. 4 Let r be -1 + -1 + 80/20. Suppose 0 = 3*c - 2*p - 18, 5*c - 32 = r*p + 2*p. Solve c*q - 3*q = 5*y + 20, 0 = -3*y + q - 12 for y. -4 Let p be (-192)/(-28) + (-3)/(-21). Suppose 15 = -2*z + p*z. Solve 0 = -t + 2*q + 1, -2*t - q = -z*t + 3 for t. 5 Let s = 5 - 0. Suppose 0 = -d - s*x - 31, -5*d - 4*x + 3*x = 59. Let b be (-2)/d - 84/(-22). Solve -4 = -2*t, 6 = 2*o - b*o + 3*t for o. 0 Suppose -17*f - 8 = -93. Solve -f*c - 5*y + 35 = 0, 3*c = 5*y - 1 - 18 for c. 2 Let k = 606 + -604. Solve 23 = -2*r + 5*n, -k*n + 27 = -3*r + 3*n for r. -4 Let i(h) = -5*h - 3*h + 10*h + 11. Let f be i(-4). Solve -10 = -3*t - 4*k, 0*k = t - f*k + 14 for t. -2 Suppose 0 = 3*g + 11 + 67. Let u = -22 - g. Solve 4*t - 19 = 3*j - u*j, 5*t = 3*j + 11 for t. 4 Let u = -329 + 329. Solve 0 = 5*r - 2*v - 16, u = 13*r - 16*r - 4*v - 6 for r. 2 Let n(o) = o + 4 - 9 + 4. Let z be n(11). Suppose -3*r = 3*k - 27, 2*k + z = 4*r - 2. Solve 4*j = -r*d - 21, 4*d - 18 = 5*j + 2*d for j. -4 Let a(k) = 3*k - 30. Let i be ((-3)/(-9)*1)/(6/198). Let g be a(i). Solve p - 2*v = -3, -2*p - 2*v = -g*v for p. 1 Let f b
{ "pile_set_name": "DM Mathematics" }
Is 43 greater than 43? False Is -0.1 greater than or equal to 55.7? False Which is greater: 1 or -1/541? 1 Which is bigger: 1/451 or -1? 1/451 Does -152 = -64? False Are 570/31 and 18 equal? False Which is smaller: 4/2309 or -1? -1 Are -38 and -37 non-equal? True Which is bigger: -3 or 34? 34 Is 369/68 less than 5? False Which is smaller: 1/3 or 146/5? 1/3 Which is smaller: 58 or -5? -5 Is 113 greater than -4/7? True Which is greater: -1 or 6/5069? 6/5069 Is -1/18546 at most as big as -1? False Which is greater: -100 or -0.1? -0.1 Which is greater: -1 or 2/317? 2/317 Is 6 less than 1? False Which is smaller: -112.2 or -0.3? -112.2 Is -0.2 bigger than 136? False Is -788/21 > -38? True Is 0.16 >= 4/7? False Do -43 and -41 have different values? True Is -13 less than 0.268? True Is -233 greater than or equal to -236? True Are 2209 and 2209 nonequal? False Are -0.1 and -5138 nonequal? True Is 8 greater than or equal to 4.2? True Is 3140 smaller than 3140? False Is 2/15 at most as big as 455? True Which is smaller: 1 or -3/350? -3/350 Is 1 greater than 6/697? True Which is smaller: -4/3 or -65? -65 Which is greater: 76/49 or 3? 3 Is 2231 not equal to 2232? True Do 616 and -3/4 have different values? True Which is smaller: 3 or 1026? 3 Which is greater: 419 or 420? 420 Is 44 >= 46? False Which is greater: -4392 or -2/5? -2/5 Which is smaller: -2/1059 or 0? -2/1059 Is -142 > -573/4? True Are -4151 and -1/4 equal? False Is 491 at least as big as 490? True Do 5/12481 and 1 have the same value? False Is -489 < -0.4? True Which is bigger: -1/643 or 0? 0 Which is smaller: 12/6833 or 1? 12/6833 Is 32/7 > -0.041? True Which is greater: 5611 or -2? 5611 Is -77 at most as big as -1561/20? False Is -14/45 bigger than -1? True Which is smaller: -305 or -306? -306 Is 3013 not equal to 3013? False Which is smaller: 1 or -4/11? -4/11 Which is smaller: -3/4 or 2/9? -3/4 Which is bigger: -5/149 or 1? 1 Is -0.85 != 0.09? True Are -2 and -29/28 equal? False Is 1 at least -12/8921? True Is -34 less than or equal to 1? True Is -3156 <= -3156? True Is 1/78 greater than 1? False Is 131 greater than 123? True Is 5405 at least 5403? True Is 37.3 greater than or equal to -2? True Which is smaller: 4/203 or -1? -1 Does -13 = -11? False Do -55 and 0.29 have the same value? False Which is greater: -3/197 or 0? 0 Which is bigger: -2308 or -2307? -2307 Which is greater: 20 or -1? 20 Which is smaller: 0.2 or 127? 0.2 Are 0.5 and -1271 non-equal? True Is -82 at most -80? True Which is bigger: 454 or 455? 455 Is 463/2 != -1? True Does -2/19 = -0.074? False Is -6058 at most -6058? True Which is bigger: 1962 or 1964? 1964 Which is smaller: -8031/11 or -730? -8031/11 Is 0 less than 118/9? True Which is greater: -623/16 or -38? -38 Which is smaller: 10496 or -1? -1 Is -0.1 > 2426? False Are -84 and -1.6 unequal? True Is -19/44 > 0? False Is -0.1 < 14? True Is -248/135 != -3? True Is -3/232 bigger than 1? False Which is greater: -901 or -6308/7? -901 Is 1/8 >= -4/323? True Which is smaller: -63/13 or -6? -6 Which is greater: -4 or -665? -4 Which is greater: -1239 or -1238? -1238 Which is smaller: 3779/19 or 198? 198 Which is greater: 0 or 1/637? 1/637 Which is smaller: 1 or -26/957? -26/957 Which is greater: 1 or -265? 1 Which is greater: 106 or -12? 106 Which is smaller: -17 or -889? -889 Are -1387/20 and -69 non-equal? True Which is bigger: -10657 or -2/3? -2/3 Are -389 and -399 nonequal? True Is -264 less than -14? True Which is greater: 5208 or 2/9? 5208 Is -1463 < -7? True Which is smaller: -269 or -268? -269 Is -85 < -84? True Which is smaller: 2388 or 2389? 2388 Is -70/99 at most as big as -1? False Is 1/2456 greater than 0? True Which is smaller: 385 or 366? 366 Which is smaller: -64/1229 or -1? -1 Do 0 and 1498 have different values? True Which is smaller: -8.83 or 1? -8.83 Which is greater: -207 or 4? 4 Is 28.9 at most -2/7? False Is 1 smaller than 3/158? False Are -40 and -37 nonequal? True Is 4449 >= 4448? True Is 10 bigger than 0? True Which is greater: 0 or -33/91? 0 Are -666 and -658 nonequal? True Which is greater: 480/13 or 1? 480/13 Which is greater: 0 or 5/83? 5/83 Which is smaller: -10376/7 or -1482? -10376/7 Which is smaller: -62/5 or -12? -62/5 Which is smaller: -2 or -3/29? -2 Is 122 less than 123? True Which is smaller: -46 or -216/5? -46 Is -0.01 less than -7? False Which is smaller: -50 or -48? -50 Which is greater: -54/17 or -4? -54/17 Which is smaller: -3 or -91.1? -91.1 Which is smaller: 6/643 or 1? 6/643 Do -43 and -57 have the same value? False Which is bigger: 1.27 or 2/33? 1.27 Do -132 and -122 have the same value? False Is 35 at most as big as 33? False Which is greater: -2942 or -2943? -2942 Is -38 bigger than -46? True Is -20 < -27? False Which is bigger: -182 or -180? -180 Which is bigger: 1 or -36/73? 1 Is -511 less than -1/4? True Is 1 not equal to -35/262? True Is -4/3 not equal to 0.013? True Is 5706 smaller than 5706? False Which is smaller: -5/9302 or 0? -5/9302 Is -181 <= -179? True Which is greater: -3/274 or 0.2? 0.2 Is 1 bigger than 14.069? False Is 329 greater than 329? False Is -15/62 at most 0? True Which is bigger: -1/5 or 0.2? 0.2 Which is bigger: 1 or 99/100? 1 Is 2/21 != -47? True Which is greater: 490/19 or 26? 26 Which is bigger: -46 or -53? -46 Which is bigger: -171/22 or -7? -7 Is -2 at least as big as 794? False Which is smaller: -1 or -4/4795? -1 Which is greater: -1249 or -1252? -1249 Which is smaller: 1363/41 or 32? 32 Which is smaller: -9 or 0.002? -9 Are -70 and -343/5 equal? False Which is smaller: 6 or -2? -2 Which is greater: 4/193 or 1? 1 Is -81 at most as big as 109? True Is 148 smaller than 2216/15? False Which is bigger: -1 or -8/1569? -8/1569 Is 2402 less than -2/15? False Is 55 at most as big as 224? True Which is smaller: -10 or -274/31? -10 Is 136 <= 143? True Which is smaller: -0.05 or 1? -0.05 Are -808/7 and -116 non-equal? True Is 799 less than 807? True Are 4011 and -1 nonequal? True Does 1 = -2/10109? False Is -24772 at least -24772? True Which is smaller: 0.1 or 89? 0.1 Is 1319 bigger than 1319? False Which is bigger: -9 or -104/11? -9 Is -1 at least as big as -4/1805? False Which is bigger: 71/20 or -1/4? 71/20 Which is greater: 11316 or 11315? 11316 Is -2 equal to 117? False Is 243 bigger than 243? False Which is smaller: 106 or -13/2? -13/2 Is -7.04 at most 0? True Is 5 less than 248/59? False Does 698 = 700? False Which is greater: -1.303 or 5? 5 Is 109/4 greater than -0.2? True Does 1/40753 = 0? False Which is smaller: 1430/3 or 478? 1430/3 Which is bigger: 122 or 1846/15? 1846/15 Is 0.2 less than 69/64? True Is 0.8 != -0.023? True Which is smaller: 0.15 or -3/2? -3/2 Which is greater: -74.63 or -0.2? -0.2 Is 5/8 at least 2/7? True Is -70 smaller than 11? True Which is smaller: 176 or -7? -7 Is 4 < -1/128? False Which is smaller: -4 or 58? -4 Which is greater: 1/1488 or -1? 1/1488 Is 3490 greater than 3490? False Is 40 at least 40? True Is 65/3 greater than or equal to -1? True Are -2.1 and -309/4 unequal? True Is 45 equal to -305? False Which is bigger: 3/14 or 0? 3/14 Is 29 less than 25? False Is 22/35 at most 0? False Which is smaller: -257/21 or -12? -257/21 Do 1 and 2/80023 have the same value? False Which is smaller: 2/9 or -2.75? -2.75 Is -187 greater than -187? False Is -1/576 equal to -0.2? False Is 10 != -75? True Which is smaller: 1.8 or 9? 1.8 Is -13.4 equal to -0.1? False Is -0.1 > -3.17? True Is 3229 <= 3229? True Which is greater: 0.5 or 7/5? 7/5 Are -63/61 and -2 equal? False Does 926/3 = 308? False Are 0 and 21/16 unequal? True Which is greater: -1 or 1/526? 1/526 Which is smaller: 8/297 or -1? -1 Is 5595/2 greater than 2799? False Is -54 bigger than -7? False Which is bigger: 2/609 or -1? 2/609 Are -39 and -753/19 equal? False Is -209 bigger than -209? False Is 2/1645 smaller than 0? False Is 426 at most as big as 424? False Is -0.1 < -5/872? True Is -284 at least as big as -284? True Which is bigger: 1 or 7/89? 1 Are -6 and 0.58 nonequal? True Do 4 and -1.13 have different values? True Is -7381 < -7380? True Which is greater: -284 or -3694/13? -284 Is 1467/34 <= 42? False Is -3/175 > 13? False Is -47/5 < -9? True Is -143 less than or equal to -147? False Is -18 at most -195/11?
{ "pile_set_name": "DM Mathematics" }
**2 - 6*n**2 - 4 + 17*n**d wrt n. -8*n Let o(s) be the second derivative of -19*s**5/4 + 143*s**4/12 - 177*s. What is the third derivative of o(c) wrt c? -570 Let h(c) = -c**3 + 9*c**2 + 5. Let f be h(9). Let d = -2 + f. What is the third derivative of -d + 3 - j**6 - 2*j**6 + 3*j**2 wrt j? -360*j**3 Let g = -10 - -28. Find the third derivative of 0*z**4 + g*z**2 - 2*z**4 - 11*z**2 wrt z. -48*z Suppose -2*t + 23 = 17. What is the third derivative of 2*a**3 - 16*a**t - 146*a**2 - 5*a**3 + 138*a**2 wrt a? -114 Let o = 5 - 0. Suppose -14 = -o*j - 4. Find the first derivative of 0 + 1 + 4 + j*t**3 wrt t. 6*t**2 Let u(w) = -25*w**2 + 4*w + 6. Let g(n) = -n - 1. Let r = -62 - -58. Let o(i) = r*g(i) - u(i). Find the first derivative of o(d) wrt d. 50*d Let n = 188 + -939/5. Let k(u) be the second derivative of n*u**5 + 0*u**2 + 0*u**3 + 5/12*u**4 + 0 - 3*u. What is the third derivative of k(j) wrt j? 24 Let s(r) be the first derivative of 3*r**5/4 - 5*r**4/6 - 4*r + 26. Let j(d) be the first derivative of s(d). Find the third derivative of j(y) wrt y. 90 Let n(l) = -17*l**3 - 6*l + 37. Suppose 15*j = -66 - 24. Let c(k) = 35*k**3 + 13*k - 75. Let b(p) = j*c(p) - 13*n(p). Find the first derivative of b(t) wrt t. 33*t**2 Let u(j) = -13*j**2 + 158. Let y(d) = 42*d**2 - 475. Let h(f) = -8*u(f) - 3*y(f). Differentiate h(m) wrt m. -44*m Find the second derivative of -10*i**5 - 69*i + 33*i**5 - 57*i**5 wrt i. -680*i**3 Suppose 1 = 3*p - 2*w - 4, 2*p + 5*w - 16 = 0. Let j be (-9)/(-4) + (-3)/12. Find the third derivative of -8*z**5 + 10*z**2 - 3*z - j*z**2 + p*z wrt z. -480*z**2 Suppose 142 - 238 = -12*u. Let f = 31 + -22. Find the second derivative of f*k + 7*k + u*k**4 - 20*k wrt k. 96*k**2 What is the derivative of 190 - 185 + 49*g**3 - 386 wrt g? 147*g**2 Let c(p) = p**2 - 1. Let t(b) = -7*b**2 + 11*b**2 + 11*b**3 + 2 + 13. Let l(a) = -4*c(a) + t(a). What is the derivative of l(m) wrt m? 33*m**2 Find the third derivative of -319 + t**6 + t**3 + t**2 + 644 - 321 wrt t. 120*t**3 + 6 Suppose -24 = 4*u + 36. Let g = 0 - u. What is the second derivative of -5*k - 4*k**5 - 4*k + g*k**5 + 3*k**5 wrt k? 280*k**3 Let r(j) = -10*j**2 + 53*j + 5. Let p(t) = -9*t**2 + 52*t + 6. Let i(m) = -5*p(m) + 6*r(m). Find the second derivative of i(b) wrt b. -30 Let x(g) be the first derivative of -75*g**4/4 + g**3 + 18*g + 97. Find the third derivative of x(a) wrt a. -450 Suppose 0 = -r + 11 + 5. Suppose -11 = -3*v - 4*j + 15, -2*j = 3*v - r. What is the first derivative of 12 - x - 4*x**v - 21 + x wrt x? -8*x Let t(f) be the third derivative of -53*f**7/210 + f**5/30 + 811*f**3/6 + 300*f**2 + 1. What is the first derivative of t(m) wrt m? -212*m**3 + 4*m Find the second derivative of 279*l**2 + 51*l**2 + 19*l + 171*l**2 + 7*l wrt l. 1002 Let m(u) be the second derivative of -107*u**3/2 + 210*u**2 - 456*u. What is the derivative of m(x) wrt x? -321 Let f(r) = -65*r**2 + 9*r + 308. Let k(d) = -13*d**2 + 2*d + 62. Let q(m) = 2*f(m) - 11*k(m). Differentiate q(w) with respect to w. 26*w - 4 Let s(n) be the third derivative of 47*n**8/112 - 71*n**5/30 - 103*n**2 + n. Find the third derivative of s(m) wrt m. 8460*m**2 Let z(o) = -152*o**3 - 5*o**2 + 7*o + 28. Let b(n) = -229*n**3 - 8*n**2 + 10*n + 42. Let m(i) = 5*b(i) - 8*z(i). What is the second derivative of m(k) wrt k? 426*k Let n(w) = -16*w**3 + 2*w**2 - 1. Let q be n(-1). Suppose q = 3*b + h, -3*h + 6*h = -b + 19. What is the first derivative of 4 + b + 2*y - 3*y + 4 wrt y? -1 Let x(j) = -154*j**2 - 3*j + 39. Let h(k) = 152*k**2 + 2*k - 37. Let n(r) = 4*h(r) + 3*x(r). Find the second derivative of n(m) wrt m. 292 Let u(x) be the first derivative of -x**7/7 + x**6 - 88*x**3/3 + 109. Find the third derivative of u(k) wrt k. -120*k**3 + 360*k**2 Let w(z) = -z. Let q(s) = 10*s + 2. Let p(n) = q(n) + 4*w(n). Let m be p(4). What is the third derivative of m*o**3 - o**2 - 26*o**3 + o**4 wrt o? 24*o Let w(f) be the first derivative of -f**3/3 - 114*f**2 + 169*f + 60. What is the first derivative of w(m) wrt m? -2*m - 228 Let g be 24/(-18)*18/(-4). Let r be (0 - -2)*1*2. Differentiate -9 - r + g*f**3 + 7 with respect to f. 18*f**2 Suppose -j = 2 - 5. Let n be 1/(-3) - (-67)/j. What is the first derivative of 38 - 24 + 10*f**4 - n wrt f? 40*f**3 Suppose -2*z - 2*l + 6 = 0, 0*z + 15 = -2*z + 5*l. What is the third derivative of -7*g**6 + 7*g**2 - 31*g**2 + 14*g**6 + z*g**6 wrt g? 840*g**3 Let q(s) be the first derivative of -28*s**3/3 - 7*s**2/2 - 3*s + 119. What is the second derivative of q(z) wrt z? -56 Let l(z) be the third derivative of 9*z**6/20 - 13*z**5/12 - 20*z**2 - 1. What is the third derivative of l(m) wrt m? 324 Suppose 4*t = -2*n, n = 3*t - 0*t + 25. Let u = 12 - n. Find the second derivative of 5*g - g - 28*g**u + 34*g**2 wrt g. 12 Suppose 2*p - 3*y = -2 - 7, -5*y + 25 = -5*p. Let d = 3 - p. Find the second derivative of -r - 6*r**2 - d*r + 5*r wrt r. -12 Let z be ((-15)/(-6))/(1/2). What is the second derivative of 19*f + 24*f**4 - z*f - f wrt f? 288*f**2 Let r(q) = -q + 1. Let j(z) = 8*z - 7. Suppose -k = -4*u - 4*k + 39, 4*k = -u. Let v(p) = u*r(p) + 3*j(p). Differentiate v(l) wrt l. 12 Let t be 30/4*(-16)/24. Let h(n) = n**2 + 5*n + 6. Let i be h(t). Find the third derivative of -4*w**6 - 7*w**i + 4*w**2 + 7*w**2 wrt w. -1320*w**3 Let f(z) = -14*z**2 - 5*z + 12. Let u(h) = -42*h**2 - 14*h + 34. Let g(m) = 11*f(m) - 4*u(m). Find the second derivative of g(o) wrt o. 28 What is the second derivative of -17*i**2 + i + i**5 + i**5 + i**5 - 4*i**5 - 26 - 22 wrt i? -20*i**3 - 34 Find the second derivative of 19*o - 6*o**2 + 2*o**5 + 11*o**2 + 440*o + 2*o**2 wrt o. 40*o**3 + 14 Let u(r) be the first derivative of -157*r**7/7 - r**3/3 + 74*r**2 + 458. What is the third derivative of u(f) wrt f? -18840*f**3 Let p(v) be the third derivative of v**5/30 + v**4/12 - 53*v**3/3 + 3*v**2 - 26. Find the first derivative of p(x) wrt x. 4*x + 2 Let g(h) = -17*h**2 - 2. Suppose -7*q + q - 18 = 0. Let w(t) = -18*t**2 - 2. Let r(p) = q*g(p) + 2*w(p). Differentiate r(x) wrt x. 30*x Let j(p) = -p - 5. Let l be j(-5). What is the third derivative of 0*m + 3*m**2 - 12*m**4 - 13*m**2 + l*m wrt m? -288*m Find the first derivative of 113*h + 15 - 109*h - 67*h - 43*h wrt h. -106 Let t(c) be the third derivative of 5*c**8/336 + c**7/105 - 10*c**4 - 177*c**2. Find the second derivative of t(n) wrt n. 100*n**3 + 24*n**2 Let s(i) be the third derivative of -31*i**6/40 - i**4/24 - 85*i**3/2 + 25*i**2 - 3. Differentiate s(x) wrt x. -279*x**2 - 1 Let j(g) be the first derivative of 0*g**2 + 0*g**3 - 12/5*g**5 - 16 + 10*g + 0*g**4. What is the first derivative of j(f) wrt f? -48*f**3 What is the third derivative of 206*f**2 + 2*f**3 + f**3 - 307*f**2 wrt f? 18 Let s(k) = -99*k**4 - 5*k**3 - 114*k - 5. Let r(a) = -a**3 - 1. Let m(c) = 5*r(c) - s(c). Find the second derivative of m(h) wrt h. 1188*h**2 Suppose 3*y = 9*y - 24. What is the third derivative of 138*b**2 + 2*b**4 - 149*b**2 - b**y wrt b? 24*b Let w(p) be the first derivative of p**7/7 - 38*p**5/5 - 8*p**3/3 - 8*p - 252. What is the third derivative of w(v) wrt v? 120*v**3 - 912*v Let y(b) = 110*b**3 + 721*b**2 + 2*b - 10. Let p(i) = 2*i**3 + i - 5. Let n(c) = -2*p(c) + y(c). What is the third derivative of n(f) wrt f? 636 Let r(u) be the second derivative of -u**7/56 - u**5/20 + 6*u**3 + 3*u. Let g(c) be the second derivative of r(c). Find the second derivative of g(x) wrt x. -90*x Let u(i) = 106*i**3 + 562*i**2 - 15*i + 5. Let a(c) = -2*c**2 + 3*c - 1. Let j(y) = 5*a(y) + u(y). What is the third derivative of j(z) wrt z? 636 Suppose -4*a = -584 - 156. Find the second derivative of a*h - 25*h**5 - 350*h + 172*h wrt h. -500*h**3 Let s(d) = -18*d - 90. Let h be s(-5). Let f(w) be the second derivative of 0 - 9/2*w**2 + h*w**3 - 1/12*w**4 + 7*w. Differentiate f(z) with respect to z. -2*z Let f(h) be the first derivative of -102*h**3 - 360*h + 333. What is the first derivative of f(d) wrt d? -612*d Find the third derivative of 36*h**2 - 29*h**4 + 8*h**2 - 4*h**4 - 71*h**4 wrt h. -2496*h Let c(y) be the first derivative of -783*y**7/7 + y**3/3 + 155*y**2 - 550. Find the third derivative of c(k) wrt k. -93960*k**3 Let r(d) be the second derivative of -23*d**6/30 + 7*d**4/4 - 3*d**2 - 54*d. Find the
{ "pile_set_name": "DM Mathematics" }
hout replacement from xpzpyypyppdpzz. What is prob of picking 2 p? 15/91 Four letters picked without replacement from {j: 5, p: 5, x: 2}. Give prob of picking 2 j, 1 p, and 1 x. 20/99 Two letters picked without replacement from {p: 7, s: 2}. What is prob of picking 2 s? 1/36 What is prob of picking 1 w and 1 n when two letters picked without replacement from nnwwwwn? 4/7 Two letters picked without replacement from vyvvvnvyvyvvvvv. Give prob of picking 1 y and 1 v. 11/35 Two letters picked without replacement from {w: 1, r: 1, n: 6, z: 9}. Give prob of picking 1 n and 1 z. 27/68 What is prob of picking 1 d, 1 j, and 1 p when three letters picked without replacement from {d: 4, p: 1, w: 2, j: 7, f: 2}? 1/20 Calculate prob of picking 1 k, 1 y, and 1 r when three letters picked without replacement from ryxckkkyrxkkxxxxr. 3/68 Calculate prob of picking 1 s and 1 b when two letters picked without replacement from brrsbrrrbssbb. 5/26 Calculate prob of picking 1 d and 3 h when four letters picked without replacement from hdhkhdhddhhdkkd. 8/91 Four letters picked without replacement from {a: 2, k: 1, j: 3, m: 3, u: 2, f: 1}. What is prob of picking 1 u, 1 j, and 2 a? 2/165 What is prob of picking 1 d and 1 x when two letters picked without replacement from diiexcxxffcd? 1/11 Calculate prob of picking 1 l and 2 z when three letters picked without replacement from lllzllllzlllzlllll. 15/272 Two letters picked without replacement from {s: 7, c: 1}. What is prob of picking 2 s? 3/4 What is prob of picking 2 n and 1 y when three letters picked without replacement from {y: 3, x: 2, n: 3}? 9/56 Three letters picked without replacement from {f: 3}. What is prob of picking 3 f? 1 What is prob of picking 4 d when four letters picked without replacement from mmdddd? 1/15 Two letters picked without replacement from {c: 1, h: 5, k: 1, m: 1, z: 1}. What is prob of picking 1 c and 1 h? 5/36 What is prob of picking 1 e and 1 o when two letters picked without replacement from iiopeneeixie? 2/33 Four letters picked without replacement from {d: 5, i: 2}. Give prob of picking 2 d and 2 i. 2/7 Calculate prob of picking 3 e and 1 y when four letters picked without replacement from yeyeeee. 4/7 What is prob of picking 1 u and 1 w when two letters picked without replacement from uuwuuwu? 10/21 Two letters picked without replacement from edehdeheeddehddhhedd. Give prob of picking 2 e. 21/190 What is prob of picking 2 b when two letters picked without replacement from sbbbsbb? 10/21 Two letters picked without replacement from {s: 7, a: 2, u: 3}. What is prob of picking 2 u? 1/22 Four letters picked without replacement from ococccoccc. Give prob of picking 4 c. 1/6 Calculate prob of picking 1 g, 2 u, and 1 m when four letters picked without replacement from {h: 2, u: 2, m: 1, z: 1, x: 2, g: 4}. 4/495 Two letters picked without replacement from {h: 4, n: 7, x: 3}. What is prob of picking 1 x and 1 h? 12/91 Two letters picked without replacement from qqniqnnionoqiiiio. Give prob of picking 1 i and 1 n. 3/17 Calculate prob of picking 1 e, 1 t, and 1 o when three letters picked without replacement from {e: 1, o: 11, q: 2, t: 1, d: 1}. 11/560 Two letters picked without replacement from {v: 7}. What is prob of picking 2 v? 1 Three letters picked without replacement from vvjjjzjvvjzjvjjvz. What is prob of picking 1 z, 1 v, and 1 j? 18/85 Four letters picked without replacement from {m: 1, f: 7, c: 3, k: 1, t: 2, n: 4}. What is prob of picking 2 c, 1 k, and 1 t? 1/510 Four letters picked without replacement from ddmmddddddddd. What is prob of picking 3 d and 1 m? 6/13 What is prob of picking 1 l and 1 k when two letters picked without replacement from lklllkkllll? 24/55 What is prob of picking 2 w when two letters picked without replacement from {w: 4, f: 2, r: 2, g: 1, b: 2, c: 1}? 1/11 What is prob of picking 1 t and 3 z when four letters picked without replacement from {t: 1, z: 5, a: 2, p: 3, f: 1}? 2/99 Calculate prob of picking 1 v and 1 u when two letters picked without replacement from cuvuahx. 2/21 Calculate prob of picking 1 z and 1 x when two letters picked without replacement from {z: 1, r: 1, s: 5, x: 3, o: 1, n: 1}. 1/22 Three letters picked without replacement from {f: 3, e: 4}. Give prob of picking 2 e and 1 f. 18/35 Three letters picked without replacement from {n: 6, p: 1, z: 2, c: 1, x: 1, v: 5}. Give prob of picking 1 z, 1 x, and 1 p. 1/280 Three letters picked without replacement from {x: 2, r: 2, d: 1, f: 8}. Give prob of picking 1 x and 2 r. 1/143 What is prob of picking 2 w when two letters picked without replacement from {r: 3, w: 2, k: 4}? 1/36 Calculate prob of picking 2 u and 1 x when three letters picked without replacement from {r: 4, g: 4, i: 1, x: 1, k: 3, u: 2}. 1/455 What is prob of picking 3 k and 1 i when four letters picked without replacement from bkqbikbkhkbibik? 2/91 Calculate prob of picking 2 w and 1 e when three letters picked without replacement from nwenweeweew. 2/11 Two letters picked without replacement from {t: 4, h: 7, z: 3}. What is prob of picking 2 t? 6/91 Calculate prob of picking 3 w and 1 c when four letters picked without replacement from {l: 2, w: 3, d: 1, c: 5, t: 1}. 1/99 Four letters picked without replacement from {f: 13, a: 6}. What is prob of picking 1 a and 3 f? 143/323 Three letters picked without replacement from ouauouqxaa. Give prob of picking 2 a and 1 u. 3/40 What is prob of picking 2 x when two letters picked without replacement from ccxxcccxxccccx? 10/91 What is prob of picking 2 b when two letters picked without replacement from rrbrbr? 1/15 What is prob of picking 2 i, 1 x, and 1 o when four letters picked without replacement from jojntxoii? 1/63 Two letters picked without replacement from {q: 4, k: 1, h: 4, u: 2, t: 9}. Give prob of picking 1 k and 1 t. 9/190 Two letters picked without replacement from {c: 1, x: 5, a: 14}. What is prob of picking 1 a and 1 x? 7/19 What is prob of picking 2 r and 1 x when three letters picked without replacement from {s: 7, h: 3, r: 4, x: 2, b: 2}? 1/68 Four letters picked without replacement from dllllollylyocolllozo. What is prob of picking 1 o, 1 d, 1 c, and 1 l? 10/969 Four letters picked without replacement from {l: 4, z: 7}. Give prob of picking 3 l and 1 z. 14/165 Calculate prob of picking 2 f, 1 i, and 1 z when four letters picked without replacement from {i: 1, n: 2, t: 1, f: 2, z: 1}. 1/35 Three letters picked without replacement from {g: 3, v: 6, b: 1, y: 1, r: 2, s: 2}. Give prob of picking 2 v and 1 r. 6/91 Four letters picked without replacement from {k: 1, b: 1, o: 2, t: 12, m: 3}. What is prob of picking 1 t, 1 b, and 2 m? 3/323 What is prob of picking 1 w and 1 k when two letters picked without replacement from {h: 1, w: 3, k: 1}? 3/10 Two letters picked without replacement from iiooiriirerrio. Give prob of picking 1 i and 1 e. 6/91 Four letters picked without replacement from {e: 4, l: 3}. Give prob of picking 3 l and 1 e. 4/35 Four letters picked without replacement from ktvvvvvtkcttkkv. What is prob of picking 1 k, 2 c, and 1 v? 0 What is prob of picking 2 e when two letters picked without replacement from {v: 1, d: 1, j: 2, e: 2, m: 1}? 1/21 Four letters picked without replacement from tdttttddttttdttttd. Give prob of picking 2 t and 2 d. 13/51 Calculate prob of picking 1 a and 1 b when two letters picked without replacement from abbabbaaabaa. 35/66 Calculate prob of picking 1 f, 1 a, and 1 q when three letters picked without replacement from {i: 8, f: 2, q: 1, k: 2, a: 3, p: 1}. 3/340 Two letters picked without replacement from {h: 2, q: 1, f: 1, l: 1, w: 4}. Give prob of picking 1 q and 1 w. 1/9 What is prob of picking 1 i, 1 e, and 1 d when three letters picked without replacement from {i: 1, e: 1, d: 2}? 1/2 Three letters picked without replacement from {v: 3, r: 9}. Give prob of picking 1 r and 2 v. 27/220 Four letters picked without replacement from hhzhhhzhhl. What is prob of picking 3 h and 1 z? 1/3 Three letters picked without replacement from {y: 4, m: 12, w: 1, c: 3}. What is prob of picking 2 m and 1 y? 22/95 What is prob of picking 2 h when two letters picked without replacement from hhhhhhhhh? 1 Two letters picked without replacement from {g
{ "pile_set_name": "DM Mathematics" }
*c**2 + 1247*c**2. -5*c**2 Collect the terms in 2080 - 2080 - 4*l. -4*l Collect the terms in -3585 + 1789 + 1796 + 13*y. 13*y Collect the terms in -v + 17*v + 14*v. 30*v Collect the terms in -214*f**2 + 109*f**2 + 104*f**2. -f**2 Collect the terms in -15095 + 15095 + 8*o. 8*o Collect the terms in x**3 + 2 - 21 - 8. x**3 - 27 Collect the terms in 3*a**2 + 245*a - 119*a - 126*a. 3*a**2 Collect the terms in -2*t + 5*t - 3*t + 7*t. 7*t Collect the terms in -12*x**2 - 7*x**2 + 22*x**2 - 9*x**2. -6*x**2 Collect the terms in -112*f**2 - f + f. -112*f**2 Collect the terms in -72*a**2 + 36*a**2 + 41*a**2. 5*a**2 Collect the terms in -7*k + 15*k - 10*k. -2*k Collect the terms in 183*a**2 - 61*a**2 - 60*a**2 - 63*a**2. -a**2 Collect the terms in 330*p - 32*p + 481*p. 779*p Collect the terms in s**2 - 426*s**2 + 128*s**2 - 569*s**2. -866*s**2 Collect the terms in 12*k**3 - 55*k**3 + 42*k**3 + 0*k + 0*k. -k**3 Collect the terms in -2*m**3 - 3*m**3 + 49*m**2 + 9*m**3. 4*m**3 + 49*m**2 Collect the terms in -4 + 4 + 8*r**2. 8*r**2 Collect the terms in -276*d**3 - 25*d + 25*d. -276*d**3 Collect the terms in 19*o - 20*o + 12*o. 11*o Collect the terms in q + 20 - 20 - 29*q. -28*q Collect the terms in 8*c**2 - 2*c**2 + 1387*c - 1387*c. 6*c**2 Collect the terms in 67*a + 65*a - 135*a. -3*a Collect the terms in -11*j + 11*j + 9*j + 7*j. 16*j Collect the terms in 7*v - 4*v - v + 9*v. 11*v Collect the terms in -f + f + 18 - f - 3*f. -4*f + 18 Collect the terms in -233*n + 128*n + 139*n. 34*n Collect the terms in 9*m + 3*m - 11*m - 20*m. -19*m Collect the terms in -62 + 117 - 6*p - 55. -6*p Collect the terms in -10*s + 31*s**2 + 10*s - 29*s**2. 2*s**2 Collect the terms in 364*z - 2 + 3 - 1. 364*z Collect the terms in -4*t - 1899 + 1899. -4*t Collect the terms in -1486 + 1486 - 17*r**2. -17*r**2 Collect the terms in -436*b**2 - 2172*b**2 - 32*b**2 - 1334*b**2. -3974*b**2 Collect the terms in 76 + 5*z - 7*z - 684. -2*z - 608 Collect the terms in -9*u + 98*u + 37*u + 7*u. 133*u Collect the terms in -54*a**3 + 7*a**3 - 59*a**3. -106*a**3 Collect the terms in 19*z**2 - 31*z**2 - 8*z**2. -20*z**2 Collect the terms in 765 + 768 - 2*w + 772 - 2305. -2*w Collect the terms in 35*b**3 + 31*b**2 - 17*b**3 - 17*b**3. b**3 + 31*b**2 Collect the terms in -3*t**2 + 3*t**2 - t**2. -t**2 Collect the terms in 6 + 20*f**2 + 12 - f - 18. 20*f**2 - f Collect the terms in -7*a**2 + 7*a**2 - 4*a**2. -4*a**2 Collect the terms in -2*p**3 + 2 - 2 + p**3. -p**3 Collect the terms in -270*x - 261*x + 541*x. 10*x Collect the terms in -69*x**3 - 4*x**3 - 16*x**3 - 42*x**3. -131*x**3 Collect the terms in 3*n - 1065*n**3 - 3*n. -1065*n**3 Collect the terms in 125*h**2 - 125*h**2 - h**3. -h**3 Collect the terms in -59*j**3 + 27*j**3 + 31*j**3. -j**3 Collect the terms in 5 - 18*k**2 + 0 + 0*k**2. -18*k**2 + 5 Collect the terms in -5*z**2 + z**3 - z**2 + 0*z**3. z**3 - 6*z**2 Collect the terms in 3*y**3 + 1963 + 1962 - 3925. 3*y**3 Collect the terms in -400*q + 400*q - 16*q**2 + 2*q**2. -14*q**2 Collect the terms in 6*a**3 + 270 - 270. 6*a**3 Collect the terms in 1104*k**2 - 2 - 1119*k**2 + 1. -15*k**2 - 1 Collect the terms in -2*q + 616 - 616 + q**2. q**2 - 2*q Collect the terms in 602*y + 604*y - 1207*y. -y Collect the terms in -121*x**3 + 37*x**3 + 40*x**3 + 39*x**3. -5*x**3 Collect the terms in 2*i + 431947 - 431947. 2*i Collect the terms in -9*h + 9*h - 11*h**3. -11*h**3 Collect the terms in -73*g**3 + 2*g**3 - 171*g**3. -242*g**3 Collect the terms in 18*i**3 + 4 + 0 - 4. 18*i**3 Collect the terms in -y**3 - 56 + 110 - 54. -y**3 Collect the terms in 8*z**2 - 21 + 21 - 4*z**2. 4*z**2 Collect the terms in 81*o**2 + 31 - 31 + 460*o**2. 541*o**2 Collect the terms in 50*s**2 - 29*s**2 - 29*s**2. -8*s**2 Collect the terms in 172 - 344 + 172 + 4*z. 4*z Collect the terms in 5*d - 9*d - 7*d + 3*d - 16*d. -24*d Collect the terms in -538*s + 91*s - 82*s. -529*s Collect the terms in 4*x**3 + 5*x**3 - x**3 - 5*x**3. 3*x**3 Collect the terms in 4*y - 3*y**2 + 5*y - 9*y. -3*y**2 Collect the terms in -2*g + 2*g + 3*g - g - g. g Collect the terms in -l - 8*l**2 + 8*l - 4*l. -8*l**2 + 3*l Collect the terms in -5*a + 2*a + 6*a - a. 2*a Collect the terms in -135*o**2 - 143*o**2 + 275*o**2. -3*o**2 Collect the terms in -83*t + 180*t - 96*t. t Collect the terms in -137 + 276 + 16*m - 139. 16*m Collect the terms in -81 + 81 - 2*m. -2*m Collect the terms in -2*f**2 - 10*f**3 + 8*f**3 + 2*f**2. -2*f**3 Collect the terms in 173 - 173 - 96*f**2. -96*f**2 Collect the terms in 4*f - 2*f - 122*f**3 + 118*f**3 - 2*f. -4*f**3 Collect the terms in -2 + 16 - 4 - 10 - 2*y. -2*y Collect the terms in 95*x**3 + 13*x**2 - x**3 - 13*x**2. 94*x**3 Collect the terms in -15*h**2 + 38*h**2 + 25*h**2. 48*h**2 Collect the terms in 6*s + 8*s - 20*s. -6*s Collect the terms in c**3 - 2*c**3 - 19*c - 19*c + 10*c. -c**3 - 28*c Collect the terms in -3*b + 0*b - 14 - 3*b + 10. -6*b - 4 Collect the terms in 74*w - 148*w + 79*w. 5*w Collect the terms in -9*j**3 - 19*j**3 + 24*j**3 - j**2 + j**2. -4*j**3 Collect the terms in -10*g - 10*g - 8*g + 40*g - 14*g. -2*g Collect the terms in -3*v**3 + 4*v**3 + v**3 - v**3. v**3 Collect the terms in 27 + 14 - 8 + 26 + y**2. y**2 + 59 Collect the terms in -54 + 26 + 28 - 7*f. -7*f Collect the terms in 4368 - v**3 - 4368. -v**3 Collect the terms in -9*f**2 + 27*f**2 + 600*f**3 - 18*f**2. 600*f**3 Collect the terms in 2 - 3*t - 7*t + 8*t - 2. -2*t Collect the terms in -6*c**2 - 80 + 24 + 28 + 28. -6*c**2 Collect the terms in -6170 + 6168 + s - s - 9*s**2. -9*s**2 - 2 Collect the terms in -25*d**2 - 120*d**2 - 46*d**2. -191*d**2 Collect the terms in 1543 - 1543 - 5*z. -5*z Collect the terms in 2*c - 8 - 1 + 10. 2*c + 1 Collect the terms in 4*j**2 - 17*j**2 + 5*j**2 + 6*j**2. -2*j**2 Collect the terms in -2*u - 4*u - 2*u + 0*u. -8*u Collect the terms in -456*l**2 - 64*l**2 - 329*l**2. -849*l**2 Collect the terms in -2*a - a + a. -2*a Collect the terms in -16*g + 30*g + 5*g + 24*g. 43*g Collect the terms in 10*u + 6*u + 5*u + 5*u - 24*u. 2*u Collect the terms in -43*d**3 + 47*d**3 - 2*d**3. 2*d**3 Collect the terms in 520 - 11*f**2 - 520. -11*f**2 Collect the terms in 491 + 512 - 3*b**3 - 1512 + 509. -3*b**3 Collect the terms in -58*r - 51*r + 109*r + 3*r**3. 3*r**3 Collect the terms in -25*u + 9*u - 20*u + 3*u. -33*u Collect the terms in 8*j**3 + 20*j**2 - 19*j**2 - 3*j**3. 5*j**3 + j**2 Collect the terms in 0*m**2 - 4*m**2 - m**2 - m**2 + 7*m**2. m**2 Collect the terms in 5 + 0 - 5 + 2100*h**2 - 2102*h**2. -2*h**2 Collect the terms in -3*h**2 + 17*h**2 - 13*h**2 - 2*h. h**2 - 2*h Collect the terms in -268*a + 577*a - 1 + 1. 309*a Collect the terms in 23*z - 1 + 38*z**2 - 23*z. 38*z**2 - 1 Collect the terms in -1671*k**2 + 3305*k**2 - 1636*k**2. -2*k**2 Collect the terms in 29*r + 124*r**2 - 29*r - 114*r**2. 10*r**2 Collect the terms in 0*o**2 + 4*o**2 - 7*o**3 - o**2 + 5*o**3. -2*o**3 + 3*o**2 Collect the terms in 19*d**2 - 57*d**2 + 23*d**2 + 18*d**2. 3*d**2 Collect the terms in 76*i + 78*i - 156*i. -2*i Collect the terms in 0*f - 5*f + 4*f + 4*f. 3*f Collect the terms in 42*c**2 - 28*c**2 + 48*c**2. 62*c**2 Collect the terms in 13*f**2 - 24*f + 10*f + 14*f. 13*f**2 Collect the terms in -195*p + 195*p - 62*p**3. -62*p**3 Collect the terms in w**3 - 4 - 2*w**3 + 20. -w**3 + 16 Collect the terms in -13*t - 22*t + 141*t. 106*t Collect the terms in 5*g**3 - 133*g + 133*g. 5*g**3 Collect the terms in 4*p**2 - p**2 + 2*p**2 + 7*p**2. 12*p**2 Collect the terms in 24*b**3 + 1 - 9*b**3 - 1. 15*b**3 Collect the terms in y**2 - 3*y**2 + 6*y**2 + 8 + 1. 4*y**2 + 9 Collect the terms in -1707 - 264*r + 1707. -264*r Collect the terms in -273 + w - 161 + 94. w - 340 Collect the terms in 13*g**3 - 4*g**3 + 0*g**3 - 11*g**3. -2*g**3 Collect the terms in 154*p**3 + 23*p**2 - 23*p**2. 154*p**3 Collect the terms in 53 - 53 + 47*x. 47*x Collect the terms in 21 + 13 + 4*v**2 + 23 - 57. 4*v**2 Collect the terms in 68*f + 9*f**3 - 46*f - 22*f. 9*f**3 Collect the terms in -48474*z - z**2 + 3*z**3 + z**2 + 48474*z. 3*z**3 Collect the terms in -12*x + 80*x**2 - 36*x**2 - 43*x**2. x**2 - 12*x Collect the terms in -15*r**2 - 11*r**2 + 42*r**2 - 11*r**2 - 9*r**2. -4*r**2 Collect the terms in -v**2 + 14 - 8 - 6. -v**2 Collect the terms in w**
{ "pile_set_name": "DM Mathematics" }
mes next: -30127, -120116, -270101, -480088, -750083? -1080092 What comes next: 2755, 8555, 18219, 31747, 49139? 70395 What comes next: -1492641, -1492620, -1492561, -1492446, -1492257, -1491976, -1491585? -1491066 What is the next term in 4217, 17702, 40467, 72530, 113909, 164622, 224687? 294122 What is the next term in 3170, 7185, 12040, 17741, 24294? 31705 What is the next term in -121435, -243054, -364673, -486292? -607911 What is next in 3750528, 3750541, 3750564, 3750597, 3750640, 3750693, 3750756? 3750829 What is next in 454466890, 454466891, 454466892, 454466893? 454466894 What is next in -42644, -85250, -127850, -170444, -213032? -255614 What is the next term in 924780, 1849416, 2774052, 3698688? 4623324 What is next in -16384, -130969, -441908, -1047379, -2045560? -3534629 What is the next term in 18422326, 18422333, 18422342, 18422353, 18422366? 18422381 What is the next term in 3319818, 6639634, 9959450, 13279266, 16599082? 19918898 What is next in 206, 1785, 6122, 14609, 28638, 49601, 78890, 117897? 168014 What comes next: 82060, 163967, 245874, 327781, 409688? 491595 What is next in -46626894, -46626892, -46626882, -46626858, -46626814, -46626744, -46626642? -46626502 What is next in -6045, -10180, -17079, -26742, -39169, -54360? -72315 What comes next: 108, 245, 144, -321, -1276? -2847 What comes next: 12904, 50861, 113854, 201883, 314948, 453049, 616186? 804359 What comes next: -117, -341, -623, -993, -1481, -2117, -2931, -3953? -5213 What is the next term in -160055, -160118, -160181, -160244, -160307, -160370? -160433 What comes next: -5622227, -5622222, -5622193, -5622128, -5622015, -5621842, -5621597, -5621268? -5620843 What is the next term in -439008, -878033, -1317058, -1756083? -2195108 What is next in 5608, -7322, -20242, -33146, -46028, -58882? -71702 What is the next term in 13935, 13872, 13919, 14130, 14559, 15260? 16287 What comes next: -1454, -6129, -14030, -25151, -39486, -57029? -77774 What is next in -143901, -287817, -431767, -575769, -719841, -864001, -1008267, -1152657? -1297189 What is next in -23532, -23624, -23784, -24018, -24332, -24732? -25224 What is next in -116481, -465933, -1048355, -1863747, -2912109, -4193441, -5707743? -7455015 What is the next term in -1035171, -1035264, -1035357, -1035450, -1035543, -1035636? -1035729 What comes next: -11581149, -11581146, -11581145, -11581146, -11581149? -11581154 What comes next: 49699067, 49699065, 49699063, 49699061? 49699059 What is the next term in 364534936, 364534937, 364534938, 364534939? 364534940 What is next in 1245, 9536, 31743, 74730, 145361, 250500, 397011, 591758? 841605 What comes next: 16505147, 16505148, 16505149, 16505150, 16505151? 16505152 What comes next: 58186, 232086, 521920, 927688, 1449390? 2087026 What is next in -5345, -18972, -49149, -104150, -192249? -321720 What is the next term in -174331, -174291, -174251, -174211? -174171 What comes next: -183, -796, -1807, -3192, -4927, -6988? -9351 What is the next term in 65589, 131079, 196557, 262023, 327477, 392919? 458349 What is next in 3151370, 3151376, 3151382? 3151388 What is next in -12681, -28199, -43703, -59187, -74645, -90071, -105459? -120803 What comes next: -7660, -14686, -21728, -28792, -35884, -43010, -50176? -57388 What is next in 7133411, 28533660, 64200743, 114134660, 178335411, 256802996? 349537415 What is next in -32, -706, -1646, -2852, -4324? -6062 What comes next: 541131, 540954, 540777? 540600 What is the next term in 55, 705, 2195, 4861, 9039? 15065 What comes next: 6601510, 6601509, 6601508, 6601507? 6601506 What is the next term in -1328, -5217, -11698, -20771, -32436, -46693? -63542 What is the next term in -1178, -4684, -10504, -18632, -29062? -41788 What is the next term in -1203, -3823, -6443, -9063, -11683, -14303? -16923 What is next in 66474, 72836, 79196, 85554, 91910, 98264? 104616 What comes next: -335, 101, 1283, 3199, 5837? 9185 What is the next term in 8328061, 8328056, 8328051, 8328046? 8328041 What comes next: 2107, 4434, 6949, 9652, 12543? 15622 What is the next term in 3406, 26926, 90636, 214600, 418882, 723546, 1148656, 1714276? 2440470 What is the next term in -28999, -29397, -29821, -30283, -30795, -31369, -32017? -32751 What comes next: -63899, -255575, -575025, -1022243, -1597223, -2299959, -3130445, -4088675? -5174643 What is next in 3927, 4113, 5055, 7131, 10719, 16197, 23943? 34335 What is the next term in 19776, 39270, 58764? 78258 What is next in -1007, -3887, -8675, -15371? -23975 What is the next term in 500119, 2000446, 4500985, 8001736, 12502699, 18003874, 24505261? 32006860 What is next in -5951, -11281, -16651, -22061, -27511? -33001 What is next in 65483, 65519, 65555? 65591 What is the next term in 24, -464, -1016, -1662, -2432, -3356? -4464 What is the next term in 2038, 4097, 6158, 8221? 10286 What comes next: -8849, -18642, -28435? -38228 What is the next term in -43647471, -87294972, -130942485, -174590016, -218237571, -261885156, -305532777, -349180440? -392828151 What is next in 5234, 20819, 46810, 83219, 130058? 187339 What comes next: 189318814, 189318811, 189318808, 189318805, 189318802? 189318799 What comes next: 735, 850, 941, 1002, 1027, 1010, 945, 826? 647 What comes next: 1082231, 1082287, 1082343? 1082399 What is the next term in 6051871, 6051873, 6051875, 6051877? 6051879 What is the next term in -375, -3361, -8341, -15315, -24283, -35245? -48201 What is next in 2553960, 2553960, 2553946, 2553912, 2553852? 2553760 What is next in -19625, -50193, -80761, -111329, -141897? -172465 What is the next term in 7042288, 28169156, 63380602, 112676626, 176057228? 253522408 What is the next term in 1539375, 1539383, 1539391, 1539399, 1539407, 1539415? 1539423 What comes next: 21332, 85144, 191498, 340394, 531832? 765812 What is the next term in 1463642, 2927281, 4390924, 5854571, 7318222? 8781877 What is the next term in 129755, 518932, 1167557, 2075630? 3243151 What is next in -167657703, -335315406, -502973109, -670630812, -838288515? -1005946218 What is the next term in -32697, -65425, -98153, -130881, -163609? -196337 What is the next term in 1604, 1560, 1448, 1268, 1020, 704? 320 What is next in 1050344, 2100607, 3150870? 4201133 What is next in -268, -165, 204, 833, 1716, 2847, 4220, 5829? 7668 What is next in -49483, -49416, -49349, -49282, -49215? -49148 What is the next term in -22376002, -22375999, -22375996, -22375993? -22375990 What comes next: -15045, -28529, -42013, -55497, -68981, -82465? -95949 What is next in -24605, -24546, -24499, -24470, -24465, -24490, -24551? -24654 What is next in -363181, -363218, -363277, -363358, -363461, -363586? -363733 What comes next: -20645, -41233, -61831, -82439? -103057 What comes next: 2153565, 4307146, 6460735, 8614332? 10767937 What comes next: 5503, 22048, 49631, 88252, 137911, 198608, 270343? 353116 What is next in -2728, -2782, -2826, -2860, -2884? -2898 What is the next term in -13298728, -26597448, -39896168, -53194888? -66493608 What is the next term in 64, 350, 1140, 2692, 5264, 9114, 14500, 21680? 30912 What is next in 2554, 2848, 3104, 3304, 3430, 3464, 3388? 3184 What is next in 648653, 1297298, 1945943, 2594588? 3243233 What comes next: -2651906, -5303822, -7955748, -10607690, -13259654, -15911646, -18563672, -21215738? -23867850 What is the next term in -286730883, -286730884, -286730885, -286730886, -286730887? -286730888 What is the next term in -10137, -40598, -91389, -162510, -253961, -365742, -497853? -650294 What is next in 23128941, 46257872, 69386803, 92515734, 115644665, 138773596? 161902527 What comes next: -53034, -75226, -97418? -119610 What is the next term in 260, 620, 1098, 1706, 2456, 3360, 4430, 5678? 7116 What is next in -99082, -396373, -891862, -1585549? -2477434 What is next in -3419, -13565, -30433, -54023, -84335? -121369 What is next in 11280, 12847, 15458, 19113, 23812, 29555, 36342? 44173 What comes next: -887439, -887319, -887199? -887079 What is the next term in -670, -4936, -16390, -38626, -75238, -129820, -205966? -307270 What is the next term in 708, 876, 724, 252, -540, -1652? -3084 What is the next term in -76391, -305999, -688663, -1224371, -1913111, -2754871, -3749639, -4897403? -6198151 What is the next term in 1531, 1
{ "pile_set_name": "DM Mathematics" }
d 4852201.8 to the nearest one hundred thousand. 4900000 What is -61.70681 rounded to the nearest ten? -60 Round 0.00000330588 to 7 decimal places. 0.0000033 What is 0.001121421 rounded to 6 dps? 0.001121 Round 5040.09 to the nearest one hundred. 5000 What is 77589000 rounded to the nearest one million? 78000000 Round 791.294 to the nearest 10. 790 What is -0.0736066 rounded to one dp? -0.1 Round -6.6103 to 2 decimal places. -6.61 Round -35948.27 to the nearest one hundred. -35900 Round 0.00012693159 to six dps. 0.000127 What is -3204.05 rounded to the nearest integer? -3204 Round -0.00002435195 to seven dps. -0.0000244 What is -0.00037478 rounded to 4 dps? -0.0004 Round 39.45274 to two decimal places. 39.45 What is -163222.69 rounded to the nearest 1000? -163000 What is 12.76416 rounded to the nearest integer? 13 Round -0.68793086 to 4 decimal places. -0.6879 What is -0.00310869 rounded to 4 dps? -0.0031 Round 489.88748 to the nearest 10. 490 Round 1101710 to the nearest 1000000. 1000000 What is 0.000244022 rounded to 7 dps? 0.000244 Round 4.550145 to the nearest integer. 5 Round 0.000255297 to five decimal places. 0.00026 What is -761140 rounded to the nearest ten thousand? -760000 Round 168.6909 to the nearest integer. 169 What is -0.38981 rounded to two decimal places? -0.39 Round -0.001241616 to four dps. -0.0012 What is -0.004835997 rounded to 5 dps? -0.00484 What is 79.1857 rounded to the nearest integer? 79 What is 0.0006204793 rounded to 6 decimal places? 0.00062 Round -0.080475529 to 2 decimal places. -0.08 Round -3698.066 to the nearest one hundred. -3700 Round -0.00091161427 to 5 dps. -0.00091 Round -2083.754 to the nearest 100. -2100 Round 0.31996 to one decimal place. 0.3 What is 33320.1 rounded to the nearest 100? 33300 What is 497571860 rounded to the nearest one million? 498000000 What is 250765600 rounded to the nearest 1000000? 251000000 What is 5587843.2 rounded to the nearest 1000? 5588000 What is -68561620 rounded to the nearest 1000000? -69000000 Round 2749560 to the nearest 100000. 2700000 Round 31.501 to the nearest one hundred. 0 What is -3052603 rounded to the nearest one hundred thousand? -3100000 Round 0.0000004477462 to seven decimal places. 0.0000004 What is -37412.297 rounded to the nearest one thousand? -37000 What is 645.98 rounded to the nearest one hundred? 600 What is -188903.72 rounded to the nearest 100? -188900 What is -1032511 rounded to the nearest ten thousand? -1030000 Round -104556.9 to the nearest 100000. -100000 What is 0.0747364 rounded to 4 dps? 0.0747 What is -0.15041352 rounded to 2 decimal places? -0.15 What is 296.4556 rounded to the nearest one hundred? 300 Round 0.010660289 to four decimal places. 0.0107 Round 11155260 to the nearest one hundred thousand. 11200000 Round 0.000000440944 to seven decimal places. 0.0000004 Round 0.053653892 to two dps. 0.05 What is 0.000189167 rounded to five dps? 0.00019 Round -0.000000298206 to six dps. 0 What is -56.233666 rounded to one dp? -56.2 What is 0.0000067243 rounded to seven decimal places? 0.0000067 What is 2280.57 rounded to the nearest 10? 2280 Round 0.074399 to three decimal places. 0.074 What is -0.02637963 rounded to three dps? -0.026 What is 0.0000145956 rounded to six dps? 0.000015 Round 2859916.5 to the nearest 100000. 2900000 Round 114.53803 to 1 decimal place. 114.5 What is -0.9920051 rounded to one dp? -1 What is 0.00121132 rounded to 4 dps? 0.0012 What is 0.000016056 rounded to six decimal places? 0.000016 What is -0.3183603 rounded to 3 decimal places? -0.318 What is -0.0012013466 rounded to four dps? -0.0012 What is 170.0027 rounded to 0 decimal places? 170 What is 3.01309 rounded to two dps? 3.01 Round -7573309000 to the nearest 1000000. -7573000000 What is 0.0000012969893 rounded to 7 decimal places? 0.0000013 Round 11670.82 to the nearest one hundred. 11700 Round 58.56429 to 2 dps. 58.56 What is 0.1477112 rounded to 4 decimal places? 0.1477 What is -0.00055578749 rounded to 4 dps? -0.0006 What is 3836811000 rounded to the nearest 1000000? 3837000000 What is 0.042619 rounded to three dps? 0.043 What is 19.601816 rounded to 2 dps? 19.6 What is -571405 rounded to the nearest one thousand? -571000 Round -1258712 to the nearest 100000. -1300000 Round -0.00000249841 to 7 dps. -0.0000025 Round 0.00089281305 to four dps. 0.0009 What is -7548.3718 rounded to the nearest 100? -7500 What is -719092000 rounded to the nearest one million? -719000000 What is -105358 rounded to the nearest one hundred thousand? -100000 Round 27420.8 to the nearest ten thousand. 30000 What is 1184780 rounded to the nearest 1000? 1185000 Round -0.000892219 to 5 dps. -0.00089 What is -2.016111 rounded to 2 decimal places? -2.02 Round 43277.439 to the nearest 10000. 40000 What is -0.10526983 rounded to five decimal places? -0.10527 What is -0.000189136 rounded to five decimal places? -0.00019 What is 0.0000922707 rounded to 5 decimal places? 0.00009 What is 90417300 rounded to the nearest 10000? 90420000 What is -23.2741 rounded to 0 decimal places? -23 What is -4457 rounded to the nearest 1000? -4000 Round 1056635 to the nearest 100000. 1100000 Round -0.00307325 to 4 decimal places. -0.0031 Round -9602270 to the nearest ten thousand. -9600000 Round 4548115000 to the nearest one million. 4548000000 What is 5092379 rounded to the nearest one million? 5000000 Round -28514520 to the nearest 1000000. -29000000 Round -1.11308 to 1 decimal place. -1.1 Round -13.6404 to zero decimal places. -14 What is -0.000427855 rounded to six dps? -0.000428 What is -13441035.4 rounded to the nearest ten thousand? -13440000 Round -0.1262412 to two dps. -0.13 What is 10411660 rounded to the nearest 100000? 10400000 What is 0.04753143 rounded to five dps? 0.04753 What is -0.00017862936 rounded to six decimal places? -0.000179 What is 229.41717 rounded to the nearest ten? 230 Round 148.544 to one decimal place. 148.5 Round 3819150 to the nearest 100000. 3800000 Round -911670 to the nearest one million. -1000000 What is -0.26761627 rounded to three decimal places? -0.268 What is -919.3156 rounded to the nearest ten? -920 What is 508704.8 rounded to the nearest 100000? 500000 What is -83601.34 rounded to the nearest ten? -83600 Round -1553800 to the nearest one million. -2000000 What is -0.00000778586 rounded to six decimal places? -0.000008 What is 0.000000750293 rounded to seven dps? 0.0000008 What is 564211 rounded to the nearest 100000? 600000 Round 105896.512 to the nearest ten. 105900 What is 0.027177881 rounded to 4 decimal places? 0.0272 Round -892.167 to the nearest 100. -900 Round 863240 to the nearest ten thousand. 860000 Round 0.0474017 to two decimal places. 0.05 Round -2332890 to the nearest 10000. -2330000 What is 0.01617997 rounded to three decimal places? 0.016 What is -121.29466 rounded to one decimal place? -121.3 What is 3394200 rounded to the nearest 10000? 3390000 Round 2098902.9 to the nearest one hundred thousand. 2100000 Round 25819.3 to the nearest 10000. 30000 Round 0.0002775623 to six dps. 0.000278 What is -0.0942627 rounded to 2 decimal places? -0.09 What is -42.443898 rounded to zero dps? -42 Round 0.000000450223 to seven decimal places. 0.0000005 What is 34.936118 rounded to zero dps? 35 What is -0.02294977 rounded to 3 dps? -0.023 Round -0.0025886868 to six decimal places. -0.002589 Round -0.05727909 to 2 decimal places. -0.06 What is 0.000046495026 rounded to 5 decimal places? 0.00005 What is -0.000125359 rounded to six dps? -0.000125 What is 0.23137 rounded to two dps? 0.23 Round 0.01748064 to five dps. 0.01748 Round 46475300 to the nearest 100000. 46500000 What is 623994.5 rounded to the nearest one hundred thousand? 600000 What is 94.19922 rounded to the nearest ten? 90 What is 1767119 rounded to the nearest 1000? 1767000 What is -13867080 rounded to the nearest 100000? -13900000 What is -0.000325718 rounded to 4 decimal places? -0.0003 What is 0.020508502 rounded to five dps? 0.02051 Round -0.586329 to 3 decimal places. -0.586 What is -417.7389 rounded to the nearest ten? -420 Round -2273410 to the nearest 100000. -2300000 Round 0.0921931 to 2 dps. 0.09 What is 11623700 rounded to the nearest 100000? 11600000 What is -9.48394 rounded to 2 decimal pl
{ "pile_set_name": "DM Mathematics" }
nearest to z? (a) -2 (b) 0.4 (c) r b Let w be (12/(-2) + 14)*(2 - 3). Let d be ((-2)/w)/((-2)/(-16)). Which is the nearest to -3? (a) 5 (b) d (c) -4 c Suppose 2*b + 3*o + 19 = 0, 2*b - 4*o - 2 = -0. What is the closest to -2 in -15, -2/9, -3/7, b? -3/7 Let u = 55 + -36. Let m = -22 + u. What is the closest to 0.1 in -1/4, 4, m? -1/4 Suppose 4*h - 3 - 1 = 0. Let v = 0.51 - 0.21. Let y = 22.4 - 22. What is the nearest to v in h, y, 0.5? y Let x = 477/7 - 68. Let i = 17.5 - 17. Let t = -1.5 - i. Which is the closest to -1/8? (a) t (b) -3 (c) x c Let y = 0.536 - -0.174. Let u = y - 0.11. Which is the nearest to -0.1? (a) 0 (b) u (c) -2/17 c Let r = -4 + 4. Let c(u) = u - 14. Let t be c(10). Let a be ((-1)/2)/(t/(-8)). What is the closest to -1 in r, a, -4? a Let p = -69.6 - -70. What is the closest to 0 in 0.04, 9, p, 2? 0.04 Let n be (8/(-16) - -2)/(-2 - 4). Which is the nearest to n? (a) 1 (b) -0.3 (c) -7 b Let o = -202 + 118. Let s be (-48)/o - 16/322. Let j = 151/69 - s. Which is the closest to j? (a) 3 (b) 4/7 (c) -2/9 b Let k(l) = -2*l + 2. Let t be k(-2). Let y = -0.3 + 19.3. Let f = -17 + y. What is the nearest to 1 in t, 3, f? f Let h = -1.3 - -1. Let m = 3748 - 3746. What is the closest to m in -2/11, 3, h? 3 Let b be (9 - 55/4)*-8. What is the closest to b in -0.1, 2/19, 2? 2 Let u = 403 - 412. Let i = -9.3 + 9. Let w = -0.2 + 0.3. What is the nearest to w in 2/5, i, u? 2/5 Let o = 105.28 + -106. Let z = o + 0.72. Which is the closest to z? (a) 3 (b) -1/5 (c) -5 b Let r = 1/138 + 15/46. Which is the closest to -1? (a) r (b) 1 (c) 0 c Let i = -976.5 + 977. Which is the closest to 0.4? (a) -0.1 (b) i (c) 5 b Let f = -0.34 + 1.94. Let c = f + -1.7. What is the closest to c in 3, -3/2, 1/3? 1/3 Let s = 27.27 - 27. Let a = s + -0.37. Let f(j) = j + 2. Let v be f(-2). What is the closest to a in v, -6, -2/3? v Let b = -0.27 + 0.48. Let w = 0.11 - b. Let o = 51.1 - 51. What is the closest to o in 2, w, 0.4? w Let z = 180 + -186. Which is the nearest to z? (a) 0.1 (b) -0.1 (c) 5 (d) -63 b Let m(r) = r**3 + 32*r**2 + 31*r - 5. Let s be m(-31). Which is the nearest to -3? (a) -5/3 (b) 1 (c) s a Let o = -22.25 + 22. Let p = o + -4.75. Which is the closest to -1? (a) 1/6 (b) -4 (c) p a Let n(f) = -3*f**3 - 5*f**2 + 4*f - 2. Let k be n(3). Let l be 24/4 + k/20. Let x = 1 - 4. What is the closest to 3 in l, x, 1/4? 1/4 Let g = 7627/7 + -1090. Let w = -0.05 + 2.05. Which is the closest to -1/9? (a) w (b) g (c) -2 b Let l = -118 - -592/5. What is the nearest to l in 0, -0.5, -6? 0 Suppose -2*l + 2*m + 10 = 0, -4*l + 12*m - 17*m + 2 = 0. Which is the closest to 1/2? (a) 0.04 (b) -7 (c) -1/4 (d) l a Let l = -0.8493 + 0.3493. Let i = 0.9 - 1. Let g = i + 0.3. Which is the nearest to g? (a) l (b) 2/3 (c) -0.3 b Let t = -148 + 127. What is the closest to -1/4 in t, 3, 1/4? 1/4 Let f(w) = 25*w + 50. Let c be f(-2). What is the nearest to -0.04 in 2/7, 1/6, c? c Let o be (8/(-3))/(8/180). Let w be 3/(-2) + (-114)/o. What is the closest to 2 in w, 1, -11? 1 Let o be (-1002)/135 - (-6)/27. Let k = 7 + o. Which is the nearest to 2? (a) k (b) 0.3 (c) -1/3 b Let s be 45/(-39) - (-4)/26. Let a be (s/2)/((-9)/(-36)) + -1. What is the nearest to 0.1 in 0.2, -5, a? 0.2 Let y be (28/10 + (19 - 22))*1. Let i(j) = -j**2 - 4*j + 3. Let g be i(-6). Which is the closest to 2/3? (a) g (b) y (c) 0 c Let d = -864 + 864. Which is the closest to -8? (a) d (b) 2/11 (c) 2 a Let q be 2 + (-1 - -2) + (-182)/56. What is the closest to q in -0.1, -1/5, -4, -2? -1/5 Let k = -1136 + 5681/5. Which is the closest to 1/5? (a) -0.1 (b) 2.2 (c) k c Let t = 18.9 - 19. Let q(x) = x - 8. Let l be q(9). Let n be (-76)/18 + l - -3. Which is the nearest to t? (a) -4/5 (b) n (c) -3 b Let g = 11 + -54/5. Let l = 7.4 + -6.4. What is the closest to 2 in l, g, 2? 2 Let x(h) = h**2 - h - 16. Let f be x(-3). Which is the nearest to -4? (a) -0.4 (b) f (c) -2/11 b Let h = -25 + 24.9. Let k = 0.2 - 0.1. Which is the closest to k? (a) 1 (b) h (c) -0.4 b Let d = 0.095 - 2.175. Let m = d - -0.08. Which is the nearest to -2/7? (a) 8 (b) -4 (c) m c Let k(z) = -z**3 + 6*z**2 + 7*z + 2. Let r be k(8). Let o be 5/(r/24) - -2. Let l = 0.075 - 2.075. What is the closest to o in l, -1, -0.2? -0.2 Let k(u) = -u**3 - u**2 + u. Let f(n) = n**3 - 4*n + 1. Let d(g) = -f(g) - 2*k(g). Let l be d(-3). Let a = l + 31/2. What is the closest to a in 7, -0.5, 0? -0.5 Let z be (-1)/4 + (-2)/(-4). Let b = -1.6 + 0.4. Let c = 1.3 + b. What is the nearest to c in -3, -2, z? z Let z be (60/25 + -3)*(-4)/6. Suppose 3*d + s + 4 = -d, -d = -5*s - 20. Which is the closest to -2/7? (a) d (b) 1/6 (c) z a Let z = -34 + 33.9. What is the closest to z in 3/8, -0.2, -2, -5? -0.2 Let j = 41 - 38. Let v = -3 + 2. Let y = -2 - v. Which is the closest to 2/5? (a) j (b) y (c) -2/3 c Let c = -5.08 - -0.08. What is the nearest to -2 in -3, c, -0.2? -3 Let m be (-6)/(-8)*1/3. Suppose 22 = -22*h - 58 - 30. Which is the closest to 0? (a) h (b) m (c) 0.3 b Let j(l) = -l**2 + 5*l + 1. Let o be j(5). Let z = -0.1287 - 0.2713. What is the nearest to o in -1, z, -1/8? -1/8 Let q = 741 - 786.3. Let r = q + 45. Which is the closest to 0? (a) 3/8 (b) r (c) -1 b Let c = -63.8 - -63.8. What is the nearest to 11 in -4, c, 3? 3 Let w = 665/4 - 166. Let x = 2.2 - 2. What is the nearest to -2 in x, 2/3, w? x Let q be 1 + -1*1 - 111/(-555). Which is the nearest to 0? (a) -5 (b) -0.08 (c) q b Let j = 69 - 40. Let m = j - 28.6. What is the nearest to -1/6 in m, -2/17, 1? -2/17 Let m = 50 + -47. Let c = 169 - 1857/11. Let f = 2 + -1.9. What is the nearest to f in m, -3, c? c Let k(n) = 3*n**2 - n. Let g = -32 - -31. Let x be k(g). Let b = 4 - 4. What is the nearest to b in 3, -0.3, x? -0.3 Let u be 1/((16/268)/4). Suppose u = -2*f - 37. Let c be 0 + (-60)/f + -1. What is the closest to 0.1 in -0.4, c, -0.3? c Let s = -4.98 - 0.02. Let l = 91/68 - 27/17. Which is the closest to l? (a) -4 (b) 5 (c) s a Let h = 1/271 - -525/4607. Let n = -0.0002 + -0.0598. Which is the closest to -1? (a) -4 (b) n (c) h b Let n = -2.55 + 2. Let b = n - -0.05. Let l = -71 + 65. What is the closest to l in b, -0.1, 0.2? b Suppose -s + 6 = v - 3*v, 0 = 2*s - 4. Let m = -13 - -14. Let d = 8.7 + -9. What is the nearest to m in d, v, -3? d Let d be (-6)/10 + 8/30. Let c = -26.5 + 25. Let k = c + 2.5. What is the nearest to k in 3, -7/5, d? d Let k = 4/3 - 1. Suppose -2*m - 70 = -4*u, -4*u = 3*m + 12 - 57. Let z be -5 + 8 - u/6. Which is the nearest to z? (a) k (b) 2 (c) 0 a Let r = 4.983 - 5.383. Let c = -0.1 - 0.1. What is the closest to 0.2 in c, r, -3? c Let l = -13.9626 + -0.0374. What is the nearest to 2/9 in 1/9, -0.4, l? 1/9 Let l = -7804.9 - -7805. Let k = 0.26 - -0.04. Let x = 0.04 - 2.04. Which is the nearest to l? (a) 1 (b) x (c) k c Let g be ((-57)/(-342))/((-8)/18) - (-3)/8. Let q = -16 + 11. What is the closest to -1/8 in -4, q, g? g Let p = 12 - 9. Let x be 1 + (-50)/(-12) - p. Let f = x - 59/30. Which is the closest to f? (a) -1 (b) -2 (c) -2/13 c Let p = 143 + -142.6. Let l = -0.03 - 0.04. Which is the closest to l? (a) -0.3 (b) 1 (c) p a Suppose 3*q - 2*u - 17 = 0, -15 = 3*u - 3. Let r = 0.8 - 0.5. What is the nearest to 2 in r, q, -1/2? q Let s(i) = -2*i + 14. Let l(w) = -2*w + 14. Let m(a) = -2*l(a) + 3*s(a). Let k be m(5). What is the nearest to 9 in 3, k, 5? 5 Let u = 34 - 137/4. Let t be 12/(-15)*(-10)/4. Suppose 1 = t*j - 1. What is the closest to j in 2, -2, u? 2 Let h = 0.32 + -1.32. Let m = -6 + 4. What is the nearest to 3 in m, 1, h? 1 Let t = 31.985 + -32. Let n = 1.015 + t. Let v be (2/5)/(1/(-5)). What is the nearest to -1 in n, v, 0.2? v Let x be (-4)/6*(5 - 2). Let i = -20.76 + -0.24. Let f = i + 21. Which is the closest to f? (a) x (b) 4 (c) -2/21 c Let o = 0.027 - 5.027. Let j(f) = -2*f + 2. Let w be j(0). What is the closest to w in o, -0.3, -4? -0.3 Let f = -5 - -14/3. Let q be (-76)/(-13) - -1 - 294/42. What is the nearest to f in q, -5, -0.1? q Let h(d) = d + 2. Let u be h(-3). Let w = -0.0111 + 4.0111. Which is the closest to w? (a) -2 (b) u (c) 4 c Let x be 2/((80/12)/5). Let n = 4.4 - 1.4. Which is the closest to -0.1? (a) x (b) -2 (c) n a L
{ "pile_set_name": "DM Mathematics" }
*sqrt(17) + 823376 Simplify 2 + ((sqrt(432) + -1*sqrt(432))/sqrt(2))/((sqrt(972) + 2*sqrt(972) + sqrt(972))*-2) + 2. 4 Simplify ((-1*(sqrt(4500) + -2) + sqrt(4500) + (sqrt(4500) - (sqrt(4500) + -1))*6 + sqrt(4500) + -3)*-1 + -5)**2. 600*sqrt(5) + 4600 Simplify ((-5 + 2 + -5*(4*(0 + sqrt(605)) + ((sqrt(605) + 1 + sqrt(605) + sqrt(605))*5 - sqrt(605))))*-5*2)**2. 5544000*sqrt(5) + 490128400 Simplify -1 + (-2*(-1 + sqrt(2548)) - (((sqrt(156) + -2*sqrt(156))/sqrt(3))**2 + sqrt(52) + 0)) + 2. -30*sqrt(13) - 49 Simplify 6*(5*3*(5 + -5 + sqrt(76) + sqrt(76)*-3 + sqrt(76)))**2. 102600 Simplify (-4*4*1*sqrt(130)*3)/(sqrt(360) + (sqrt(360)*1*-1 - sqrt(360)) + (sqrt(360) - 2*-1*sqrt(360))). -4*sqrt(13) Simplify ((sqrt(11) + sqrt(88)/(sqrt(8) + sqrt(40)/sqrt(5)) + 1)*-1 - ((0 + (-1*sqrt(77))/sqrt(7))**2 + -3)) + 4. -5 - 3*sqrt(11)/2 Simplify ((6*(sqrt(70) + (sqrt(70) - -6*sqrt(70)*-6) + sqrt(70))*2)/((3*sqrt(90) - sqrt(90) - sqrt(90))*2*-4))**2. 7623/4 Simplify (0 + (sqrt(75) + 0)**2 - (sqrt(108)/sqrt(4))/sqrt(9)*4) + (-5*3*(sqrt(108) - (sqrt(108) + sqrt(108) + -1))*-4)**2. -43204*sqrt(3) + 392475 Simplify ((-3 + sqrt(42)/(sqrt(6) - (-1*sqrt(72))/sqrt(12)) - (sqrt(504) - (sqrt(504) + sqrt(504)*1))/sqrt(8)*-6)**2 + -2)*3. 315*sqrt(7) + 25809/4 Simplify 6*((-1 + (sqrt(500) + 0 - sqrt(500)))**2 + 2) + -3*(sqrt(405)*1 + 1)*-4. 30 + 108*sqrt(5) Simplify (0 + (sqrt(192)*1*6 - sqrt(192)) - ((sqrt(48) + -1)*-3 + 2))**2. -520*sqrt(3) + 8137 Simplify (1 + -2*sqrt(1300))*2 + (-1*sqrt(104)*6)/(sqrt(800) + sqrt(800) + sqrt(800)*2). -803*sqrt(13)/20 + 2 Simplify 2 + ((sqrt(128) + sqrt(128) + -1*sqrt(128) + sqrt(128) + 5 + (1*sqrt(128) + 5 - sqrt(128)))*-4*-4)**2. 81920*sqrt(2) + 156674 Simplify ((4 + 1*sqrt(396) - (sqrt(396) + -1 + 0)) + (5*(3 + sqrt(396) + -1*sqrt(396)))**2)*-1. -230 Simplify -3 + ((sqrt(77)*3*-3)/(sqrt(1100)*-1 - sqrt(1100)) + -4 + -4)**2. -36*sqrt(7)/5 + 24967/400 Simplify 2 + -3*(4*(sqrt(3) + 0)*-5 + ((sqrt(3) - (sqrt(12)/sqrt(4) + 5) - sqrt(3)) + sqrt(3) - (-2 + sqrt(27))))**2*-2. 828*sqrt(3) + 9578 Simplify 4 + 5 + -6*(sqrt(847) + -2)**2 + sqrt(847) - (2 + 2 + (sqrt(847) + (-1 + sqrt(847) - sqrt(847)) - sqrt(847)) + sqrt(847) + 2)**2. -5969 + 165*sqrt(7) Simplify (sqrt(275)*-1 - (sqrt(539)*-4)**2) + ((2 + sqrt(1584)*-2)*-4)**2. -1541*sqrt(11) + 92816 Simplify (-3*sqrt(77)*2*-3*-2)/((sqrt(99) + -5*2*sqrt(99) + sqrt(99) - sqrt(99)) + (-6*sqrt(99)*1 - sqrt(99))). 3*sqrt(7)/4 Simplify ((-1*sqrt(4608))/(-4*sqrt(8)/sqrt(4) - sqrt(2)))/((2*sqrt(392)*-3 + sqrt(392))*-3). 4*sqrt(2)/175 Simplify (-2*(sqrt(1620)*2 + sqrt(1620)) + -1*sqrt(1620)*6)/(sqrt(30)/(-2*sqrt(3)) + sqrt(1000) + 3*sqrt(1000) + sqrt(10)). -8*sqrt(2)/3 Simplify ((2*sqrt(432) - sqrt(432))/(3*(sqrt(6) - (-1*sqrt(6) - sqrt(6)))) - (0 + (5 + 1*sqrt(2) + sqrt(2))**2 + sqrt(2))*4) + 2. -130 - 250*sqrt(2)/3 Simplify (1*sqrt(3584) - sqrt(3584))/sqrt(8) - (sqrt(343)*1 + 0)**2 - (2 + (2*(sqrt(35) + (sqrt(35) - -1*sqrt(35))))/((1*sqrt(25))/sqrt(5))). -345 - 6*sqrt(7) Simplify -2*(2 + (2 + sqrt(39)/sqrt(3) + sqrt(13) + sqrt(13) + sqrt(325)*3)**2*-5 + -2)*-2. -84320 - 1440*sqrt(13) Simplify ((-5*sqrt(2187) - -1*sqrt(27)*-4)/((6*(sqrt(108) - sqrt(108)*2))/(sqrt(432)*1)))**2. 7203 Simplify ((((sqrt(228)*2)/sqrt(6))/(sqrt(10)/sqrt(45)) - (sqrt(95) + (-1*sqrt(95)*1 - sqrt(95)) + sqrt(95))/((sqrt(160)/sqrt(4))/sqrt(8)))*4)**2. 10944 Simplify -6*(1 + (sqrt(405) - (sqrt(405) + 0))) + (sqrt(40)/(1*sqrt(40)/sqrt(5))*5)**2. 119 Simplify sqrt(500) + (sqrt(500) - (sqrt(500) + (sqrt(500) + sqrt(500) + -4 - sqrt(500))**2 + -2)) - -1*(-4 + sqrt(500)) - (-3 + -5*-1*(sqrt(500) + -2)). -505 + 50*sqrt(5) Simplify (sqrt(272) + 3*sqrt(272) + 3 - (sqrt(272) + 4 + 5 + sqrt(272)))**2 - (sqrt(272) + (sqrt(272)*-1*-2)**2 + sqrt(272) - -1*(0 + sqrt(272)))*3. -2140 - 132*sqrt(17) Simplify (-2*(-2 + sqrt(133)/(sqrt(63)/sqrt(36)) + 5*(-1 + sqrt(304))))**2. -1232*sqrt(19) + 36980 Simplify 3*((sqrt(242) + 0)**2 + -4)*3 + (3 + 2 + sqrt(242) + 1)*6. 66*sqrt(2) + 2178 Simplify 4 + ((sqrt(99)*-2 + sqrt(99) + 3)**2 - -6*(sqrt(99)*-2)**2 - (-2 + -3*sqrt(99) + -1)) + -4. -9*sqrt(11) + 2487 Simplify 5 + ((sqrt(300) + 1)*4 - sqrt(300)) + 0 + 3 + 0. 12 + 30*sqrt(3) Simplify (2*(sqrt(7200)*-1 + sqrt(50))*3)/(-4*((sqrt(1000) - 2*sqrt(1000))*-3 + sqrt(1000))). 33*sqrt(5)/80 Simplify (2 + -2 + 2 + 1 + 1 + -2 + 4*sqrt(2299) + sqrt(2299))**2. 220*sqrt(19) + 57479 Simplify -5 + 3*(1 + sqrt(19)) + 2 + (1*(-2*sqrt(152) - sqrt(152) - sqrt(152)))/((sqrt(96)*-2)/sqrt(12)). 5*sqrt(19) Simplify -4 + 3 + 1 + sqrt(396)*4 + (((sqrt(11) - sqrt(22)/sqrt(2)) + -1)*-4)**2. 16 + 24*sqrt(11) Simplify (-3*5*(sqrt(85) + -5*(sqrt(85) - sqrt(85)*-2)))/((sqrt(20) - sqrt(5))*6 + sqrt(720)). 35*sqrt(17)/3 Simplify 6*((sqrt(1500) - sqrt(1500)*2) + sqrt(120)/sqrt(8)*5)/(sqrt(147)*-2 + 5*sqrt(21)/sqrt(7)). 10*sqrt(5)/3 Simplify 1*-2*1*sqrt(175)*6*2*4 + -1. -480*sqrt(7) - 1 Simplify -4*-2*(-2*(-5 + 0 + sqrt(175) - sqrt(175)) - (0 + sqrt(175) + -5 + -5))**2*3. -4800*sqrt(7) + 13800 Simplify (-4*sqrt(2400)*2*-3)/((sqrt(96)/sqrt(6) - sqrt(16))/sqrt(2) + sqrt(8) - sqrt(72)*-3). 24*sqrt(3) Simplify (1 + 3 + (sqrt(192) + 0)**2)*6 + (sqrt(192) + 0 + 1)*-5 + 4 + -5. -40*sqrt(3) + 1170 Simplify 4*(-2*(-3 + (sqrt(432) - (1*sqrt(432))**2)) + -1*-5*2*sqrt(432)). 384*sqrt(3) + 3480 Simplify ((sqrt(20) - sqrt(720)*-2)/(-6*(sqrt(250) + sqrt(10))))**2 + (sqrt(288)*2*-6 + -2 + sqrt(288) + 2)**2. 22581673/648 Simplify (5 + sqrt(475)*2*-2 + (sqrt(475) - (sqrt(475)*-1 + -5) - sqrt(475) - sqrt(475)) + (-1 + sqrt(475)*3)*-6)**2. -3520*sqrt(19) + 230156 Simplify (-3*(sqrt(400) - (sqrt(400) - -4*sqrt(400))) + 4*sqrt(400)*6 + sqrt(400))/(-4*((3*sqrt(1152) + sqrt(1152))*2 - sqrt(1152))). -185*sqrt(2)/336 Simplify (sqrt(153) + sqrt(17) + 0 + sqrt(68)*2 + sqrt(68) + -4 - (3*sqrt(612) - sqrt(17)*1*4))**2. 32*sqrt(17) + 288 Simplify (6*(-1*sqrt(85)*-6 + 1*sqrt(85)*-6))/(((sqrt(135) + -3*sqrt(135) - sqrt(135))/sqrt(3) + sqrt(45))*-1). 0 Simplify ((2 + sqrt(200) + -2)*-2)**2 - (-1*sqrt(64))/(-3*sqrt(128)). -sqrt(2)/6 + 800 Simplify (5*(2*sqrt(896)*5*4)/((sqrt(128) - sqrt(128)*-1) + sqrt(360)/sqrt(5)))**2. 4480000/121 Simplify (sqrt(1000)*-1*3 + -2*sqrt(1000)*6 + sqrt(1000))/((sqrt(400)/(2*sqrt(10)))/(sqrt(20)*-3)). 840*sqrt(5) Simplify -3*((-4 + (3*sqrt(605) + sqrt(605) - sqrt(605))*-3)**2 + -1 + -3 + (5*sqrt(605))**2)*4. -769704 - 9504*sqrt(5) Simplify (3*2*sqrt(833))**2 + (1*sqrt(833))**2 + -4 + (sqrt(85) + -1*(sqrt(85) + sqrt(85)*-1))/((sqrt(5) + sqrt(5)*-2)*4)*6. -3*sqrt(17)/2 + 30817 Simplify ((sqrt(425) + 1 + 4 + sqrt(425))**2*-4 - ((sqrt(17) - -3*sqrt(17)*-2)**2 + -1*(sqrt(17) + sqrt(17) + -1))*-6)*1. -4344 - 412*sqrt(17) Simplify ((4*sqrt(252) + 1)*3 + (sqrt(4235)*-1)/(sqrt(125)*-4))**2. 4353*sqrt(7)/10 + 14741407/400 Simplify (-3 + 6*(-3*(sqrt(500)*-1*2 - 6*(-1 + sqrt(500))))**2*4)*-4. -27679092 + 829440*sqrt(5) Simplify (sqrt(704) + 0)*2 + (sqrt(704) - (4 + -2*sqrt(704))) - (sqrt(99) + -2*sqrt(99)*3)/(sqrt(9) + sqrt(900)*-2). -4 + 755*sqrt(11)/19 Simplify (-5*(-3 + 1*sqrt(2816)) + (-1 + sqrt(891))*2 + -6*(-1*sqrt(99) - sqrt(99)))**2. -676*sqrt(11) + 7605 Simplify ((3*(sqrt(1300) + -2) + -4 + -1 + sqrt(1300)*1*-2 + -1)*-1)**2. -240*sqrt(13) + 1444 Simplify (((sqrt(720) - -2*sqrt(720))*-2 + -1 - (sqrt(180) + 2 - sqrt(35)/(sqrt(175) + sqrt(7)))) + -2)**2*5. 11675*sqrt(5)/3 + 5456725/36 Simplify (sqrt(252) + -4 + 5 + 3*(sqrt(252) + sqrt(252) + -1) - -4*(3 + (sqrt(252)*-4 - sqrt(252)) + -2))**2. -312*sqrt(7) + 42592 Simplify sqrt(18)/((sqrt(726) - sqrt(6)) + sqrt(6)) + ((sqrt(27)*4)/sqrt(9))**2 - 2*(sqrt(84)/sqrt(7))/sqrt(4)*6. -131*sqrt(3)/11 + 48 Simplify (((1*(sqrt(6) + (sqrt(6) - sqrt(30)/sqrt(5))))/(sqrt(242) + (sqrt(242)*-4 - sqrt(242))) + 4)*3)**2. -18*sqrt(3)/11 + 278811/1936 Simplify (-3*(((sqrt(200)/sqrt(5))/sqrt(8) - sqrt(5))*6 - (4*(0 + sqrt(5)) - sqrt(800)/sqrt(10))))**2*-2. 0 Simplify (0 + sqrt(2) + sqrt(10)/sqrt(5) + -1)*1 + (-2 + sqrt(72) + -2)**2*-2. -177 + 98*sqrt(2) Simplify (3*(1 + 5*sqrt(192) + -6*(sqrt(2352) + sqrt(2352)*1))*6*1)**2. -191808*sqrt(3) + 85163076 Simplify (4 + ((-5*sqrt(63)/sqrt(3)*4)/(-2*sqrt(847) - 1*sqrt(112)))**2 + -4)*-4. -1200/169 Simplify (((6*sqrt(81)*2)/((sqrt(729) - 2*sqrt(729)) + sqrt(9)))/(6*((sqrt(243) + (sqrt(243) - -2*sqrt(243)) + sqrt(243))*-5 +
{ "pile_set_name": "DM Mathematics" }
- 20, 0 = -y - o - 0*o + 4. Sort f, 3/5, 0.5, y in decreasing order. f, y, 3/5, 0.5 Let p = 1 - -4. Suppose -w + 12 = -p*w. Let n(m) = 379*m - 2655. Let z be n(7). Put -1, w, 0, z in ascending order. w, z, -1, 0 Let l = -129.89 - -1.89. Let q = l - -127.5. Put -3, 3, -3/32, q in increasing order. -3, q, -3/32, 3 Let b = 21 + -8. Let y = b + -8. Let k be 312/(-273)*28/(-8). Put k, y, 1 in increasing order. 1, k, y Let d = 0.38 - -0.02. Let a = -0.7 - 3.3. Let b = 15463 - 15463.05. Put a, b, d in descending order. d, b, a Let j = -367 + 363. Suppose 2*m + 4*g + 10 = 0, -4*g - 1 - 3 = 0. Let a(h) = h**2 + 3*h - 3. Let o be a(m). Put o, -11, j in decreasing order. o, j, -11 Let s = 734/15 + -215032/4395. Sort -0.4, s, -5 in increasing order. -5, -0.4, s Let a be 0 - (3 - 105/33). Let k = -0.012 - -8.912. Let v = 5.9 - k. Sort 4, a, v in decreasing order. 4, a, v Let k = 55 - 60. Let m be (140/90)/7 + 70/9. Suppose 3*s - 2*n = m, 8 = 5*s + 4*n - 2*n. Sort s, k, 16, -4 in descending order. 16, s, -4, k Let r = 388.9902 - 389. Let h = -2.0098 - r. Sort 4/7, h, 0.03 in descending order. 4/7, 0.03, h Let w(b) = 1976*b + 29642. Let f be w(-15). Let x = 5 + 3. Suppose -12 = -x*y + 4*y. Put y, f, -5 in decreasing order. y, f, -5 Let d = 10322 - 10322. Sort d, -2/9, -6/19, 0.2 in increasing order. -6/19, -2/9, d, 0.2 Let b(q) = -52*q + 28. Let j be b(-5). Let i = j - 289. Put i, 58, 3 in ascending order. i, 3, 58 Suppose -4*w + 8*p = 10*p - 12, -5*w + p + 15 = 0. Put w, 16, 18 in ascending order. w, 16, 18 Suppose 44*k = -108 + 636. Sort k, -3, 9. -3, 9, k Let l(b) = -10*b - 2. Let h be l(4). Let m be (112/28)/(52/(-65)). Put 5, h, m in ascending order. h, m, 5 Let p = -658 - -659. Sort -3, 5, p, -841. -841, -3, p, 5 Let t be 4/(-14) - (-72)/(-42). Let b(c) = 2*c**3 + 16*c**2 + 30*c + 2. Let p be b(-5). Sort p, 4, t, -28 in decreasing order. 4, p, t, -28 Suppose -49*v + 44*v + 350 = -2*a, -5*v + 3*a + 345 = 0. Put v, 0, 2 in descending order. v, 2, 0 Suppose -32 = -2*x - 2*x. Let h = x - 13. Let b(c) = 2*c**2 - 3*c - 2. Let a be b(4). Put a, 0, h in decreasing order. a, 0, h Let r = -0.111 + 1.911. Let a = 1.842 - r. Let x = 2.958 + a. Sort 4, x, 2 in decreasing order. 4, x, 2 Let o be (-4454)/(-238) + (-18)/(-14) + -1. Suppose 20*v - 9 = o*v. Put 3, 4, v, 2 in decreasing order. v, 4, 3, 2 Suppose 2*g - 3*z - 10 = 0, 3*g - 873*z + 868*z - 15 = 0. Put g, 14, -1, 8 in decreasing order. 14, 8, g, -1 Let s be 4*((-14)/(-4))/7*1. Let g be (35/(-10) + s)*-2. Suppose -5*d - 3 = -23, -g*d = -2*w. Sort -2, 2, w. -2, 2, w Let v = -519 + 493. Sort 0.2, -1/14, v in decreasing order. 0.2, -1/14, v Let z be (-450)/135*6/(-10). Sort 454, z, 0. 0, z, 454 Let q = 0.442 - -332.558. Let z = q + -337. Sort -0.35, -5, z in descending order. -0.35, z, -5 Let r be (-2)/(1/(-2) + 0). Let x be (-19)/((-2584)/(-16)) + 225/(-255). Put x, -2, 1, r in increasing order. -2, x, 1, r Suppose -22*c + 19 = -3*x - 20*c, x = 5*c - 15. Put x, -14, 26 in descending order. 26, x, -14 Let a(p) = -2*p - 6. Let y be a(-5). Let d = -1759 + 1772. Let l = -8 + 13. Put -5, y, l, d in ascending order. -5, y, l, d Let x be (100/(-1300))/((-2)/26). Let g(z) = z**3 + 2*z**2 - 4*z. Let a be g(-3). Put x, 62, a in descending order. 62, a, x Let r = -2 + 2. Suppose 84*t - 2540 + 3128 = 0. Sort r, t, -8 in decreasing order. r, t, -8 Suppose 0 = 355*f - 363*f + 8. Sort 4, -251, f in descending order. 4, f, -251 Let j be 2/4 + 98/4. Let n = 21 - j. Let g = 1206 - 1218. Sort g, -2, n in descending order. -2, n, g Let w = -4.7293 - -0.7293. Sort -0.94, -1/3, -0.01, w. w, -0.94, -1/3, -0.01 Suppose 27*h = 28*h - 16. Suppose -2*t - y = 12, 2*t + y + h = -2*y. Sort 14, t, 4 in increasing order. t, 4, 14 Let n be 3 + -18 + (27 - 13). Sort 4, 13, -5, n, -3. -5, -3, n, 4, 13 Let f = -642.988 - -643. Let d = -4.388 - f. Sort -1/6, -0.3, d in ascending order. d, -0.3, -1/6 Let v = -2 - -1. Let b = -3 - v. Let q be (1/2)/(9/(-12) + 1). Put q, 0, b in decreasing order. q, 0, b Let t be 2 - (3 - (-2 - 0)). Let f(z) = -z**2 + 995*z - 3968. Let v be f(4). Put v, -10, t in decreasing order. t, v, -10 Let p be 5 - ((-3 - -20) + -16). Sort p, -4, 6, 630 in decreasing order. 630, 6, p, -4 Let d = 5409 + -5757. Sort -2/3, -1/2, d, -4 in decreasing order. -1/2, -2/3, -4, d Let a = -2464 - -17250/7. Let v = -0.2 + -9.8. Sort -1/3, a, v, 2 in descending order. 2, a, -1/3, v Let o = 45335 + -45340. Let b be (-4 + 5)/((-1)/3). Sort 1, b, 2, o in decreasing order. 2, 1, b, o Suppose 172*u + 3*u - 525 = 0. Put u, 1002, -5 in descending order. 1002, u, -5 Let g(u) = u + 20. Let w(b) = -2*b - 45. Let h(r) = r - 41. Let z be h(28). Let j be w(z). Let l be g(j). Sort l, -1/5, -5, -3/5 in descending order. l, -1/5, -3/5, -5 Let r be (2 + 3 - 4)/((-2)/(-36)). Let z be (-76)/(-18) + (-4)/r. Suppose -5*v - 13 = -z*v. Sort -5, 0, v in ascending order. v, -5, 0 Let x = 6118 + -6123. Put 66, -2/3, -1/2, -1/8, x in ascending order. x, -2/3, -1/2, -1/8, 66 Suppose 176 = -c + 4*g, 665 = -5*c + g - 196. Let l = c + 190. Sort -5, l, 16 in ascending order. -5, 16, l Suppose 0 = -5*k + 24 + 6. Let s be -5 - (-2 - -1) - 84. Let w = 92 + s. Sort w, 0.2, k in descending order. k, w, 0.2 Let d = -27.6 + 30.6. Sort d, 286, -0.5 in decreasing order. 286, d, -0.5 Suppose 39 = -4*s - 4*o + 31, 6 = -3*s + o. Put -19, s, 10.2 in increasing order. -19, s, 10.2 Let m = 4957 - 4953.4. Put m, -2/3, 0.1, 12 in ascending order. -2/3, 0.1, m, 12 Let a = -68 - -69. Let c be (a - -8)*(-133)/14. Let s = -84 - c. Sort s, 5/2, -1/6, 1/4. -1/6, 1/4, s, 5/2 Let g = 4.7174 + 16.2856. Let n = 0.003 - g. Let j = n - -24. Sort j, 11/4, 1. 1, 11/4, j Let d = -5 + 2. Let a(v) = -16 - 2*v**2 - 11*v + 0*v**2 - 6*v - 12*v. Let n be a(-14). Sort n, d, 5 in ascending order. d, n, 5 Let y = -279 - -278.6. Sort -4, 0.4, y, 1/3, -6 in ascending order. -6, -4, y, 1/3, 0.4 Suppose 4*c - 4*q + 0 = -172, 4*c + 3*q = -137. Let r be c/76 - (-282)/(-4). Put 5, -1, r in descending order. 5, -1, r Let p = 9.843 - 0.243. Let s = -10.1 + p. Sort 3, -0.1, -2, s. -2, s, -0.1, 3 Suppose 152 = -4*q + 3*t, -780*t + 782*t = 4*q + 140. Let x(g) = -g + 12. Let o be x(7). Suppose i = -o + 1. Put q, -1, i in decreasing order. -1, i, q Let d be (7 - 6)/(12/15 - (-22)/110). Put -5, -3, 29, 5, d in descending order. 29, 5, d, -3, -5 Let x = 1726 + -1725. Put x, -1438, -2 in descending order. x, -2, -1438 Suppose 2*h = -2*x + 14, -2*h - 5*x = 2*h - 30. Suppose 199 = h*u - 61. Let o = -8 + u. Sort -2, o, 2 in increasing order. -2, 2, o Let z = 7 + -13. Suppose -4*s = -27*s. Sort z, 6, s, 4. z, s, 4, 6 Let v = -3087 + 3101. Put -2, v, -4 in decreasing order. v, -2, -4 Let h be 432/(-90)*(-45)/(-27). Sort 1, 1174, h in increasing order. h, 1, 1174 Suppose 4*c - 3*j + 59 = 33, c - 5*j = -15. Sort c, 2, -3, 5 in increasing order. c, -3, 2, 5 Suppose -5*m = -24*m + 57. Suppose -3*b - 6 = -0*b - 2*d, -3*d = 0. Put m, 0, -4, b in decreasing order. m, 0, b, -4 Let f = -4 + 3. Let p = -37565.6 + 37566. Put 1/3, 0, p, f in descending order. p, 1/3, 0, f Let o = -3046 + 3042. Sort -0.5, 0.8, 20, o in ascending order. o, -0.5, 0.8, 20 Suppose 0 = 17*y - 15*y - 86. Let p = y - 44. Let t be -26 + (0 + 2)/(0 + -2). Sort p, -3, t in decreasing order. p, -3, t Let t = -60541 + 60540. Let l be ((-2)/5)/((-1)/10). Sort l, 3, -3, t. -3, t, 3, l Let h be (-45)/12 + 2/(-8). Let p = -19278 + 19277.8. Sort h, -10/9, p in decreasing order. p, -10/9, h Let a = -339 - -317. Let z(k) = 2*k**3 + 42*k**2 - 45*k - 25. Let q be z(a). Sort 4, q, -32, -1 in ascending order. -32, q, -1, 4 Let r = 48.6671 + -49.1671. Let z = 0 - 0.1. Let a = 0 + z. Sort -0.05, r, a, -1 in increasing order. -1, r, a, -0.05 Let k(v) = v**3 + 5*v**2 - 23*v + 32. Let n be k(-8). Let t be (-114)/n + 4/(-16). Let a = -0.1 - -0.6. Put -0.3, a, t in increasing order. t, -0.3, a Suppose -5*l = -4*l - 0*l. Let a(z) = -z**2 - z + 1. Let v(h) = h**2 + 15*h + 15. Let n be v(-14). Let m be a(n). Sort l, 9, m in decreasing order. 9, l, m Let o = -10987/21982 - 2/10991. Sort 8/17, 2/9, 2/7, o, -1. -1, o, 2/9, 2/7, 8/17 Suppose -2132 = -49*d + 8*d. Let z be (0 + 0)*(-51 + d). Sort z, 4, -2, 1 in ascending order. -2, z, 1, 4 Let o = -422.13 - -420. Let g = 1.63 + o. Sort 3/2, g, -8,
{ "pile_set_name": "DM Mathematics" }
ivide 3655746 by -6. -609291 -330 divided by -3960 1/12 What is 871 divided by 871? 1 What is -1 divided by -159127? 1/159127 0 divided by 5342 0 Calculate 806 divided by -403. -2 55504 divided by -2 -27752 Divide -426378 by 2. -213189 What is -52148 divided by 26074? -2 What is -10 divided by -434? 5/217 -9060712 divided by 2 -4530356 Divide 1 by 20911. 1/20911 Calculate -226909 divided by -103. 2203 What is -941904 divided by 6? -156984 Calculate -4038320 divided by 1009580. -4 Divide 81630 by 6. 13605 -1288440 divided by 644220 -2 -4157 divided by -591 4157/591 Calculate 2 divided by -125516. -1/62758 110760 divided by 39 2840 What is 3233159 divided by -53? -61003 79453 divided by 341 233 Calculate 3 divided by -80251. -3/80251 1137116 divided by -2 -568558 Divide 86170 by -14. -6155 Divide -716 by 76. -179/19 Divide 314628 by -10. -157314/5 Calculate 5 divided by 9234. 5/9234 16 divided by 1401 16/1401 Calculate 42692 divided by -10673. -4 143 divided by -17 -143/17 -23075 divided by -71 325 Divide 74928 by -1784. -42 Divide 152768 by 56. 2728 90996 divided by 22749 4 Calculate 2119998 divided by 2. 1059999 8390 divided by -8 -4195/4 What is -163648 divided by -40912? 4 Divide -51970 by 5197. -10 -5372 divided by 887 -5372/887 What is 57987 divided by 19329? 3 Calculate 4092 divided by 62. 66 What is -118006 divided by -66? 59003/33 Calculate 508752 divided by -8. -63594 Calculate -56 divided by -15842. 28/7921 7 divided by 13341 7/13341 What is 1 divided by 56088? 1/56088 What is -1 divided by -8240? 1/8240 Calculate -106836 divided by 53418. -2 What is -1 divided by -3163? 1/3163 4 divided by 12139 4/12139 Calculate -15732 divided by 2. -7866 Calculate 262524 divided by -3. -87508 -4 divided by -111926 2/55963 Divide 93006 by -10334. -9 314610 divided by -104870 -3 Divide 21710 by 4342. 5 Divide -1 by -11532. 1/11532 What is 134856 divided by -5619? -24 What is 58 divided by -3220? -29/1610 14098 divided by -106 -133 49705 divided by 13 49705/13 Divide 866118 by 242. 3579 -353070 divided by -30 11769 What is -50240 divided by -20? 2512 Divide -324378 by 54063. -6 8 divided by -6320 -1/790 -184726 divided by 2 -92363 58 divided by -4654 -29/2327 What is -55027 divided by 49? -1123 Calculate -1288176 divided by -141. 9136 Calculate -2 divided by 303396. -1/151698 Divide -11 by -20903. 11/20903 What is -320769 divided by 3? -106923 Calculate -9438 divided by 66. -143 Calculate -6708 divided by -250. 3354/125 What is 1 divided by -30319? -1/30319 -149226 divided by -561 266 -3192 divided by -266 12 -6046 divided by 32 -3023/16 151401 divided by 3 50467 What is -84444 divided by 3? -28148 Calculate 165 divided by -165. -1 Calculate 33390 divided by -210. -159 What is 52522 divided by -5? -52522/5 What is 2 divided by -229694? -1/114847 Divide 0 by -9176. 0 Calculate 90012 divided by -45006. -2 Calculate -308780 divided by -61756. 5 Calculate -206400 divided by -5160. 40 What is -4 divided by 10924? -1/2731 Divide 2 by -8564. -1/4282 Divide -2517 by -586. 2517/586 What is 47872 divided by 11968? 4 What is -57864 divided by 24? -2411 What is 4270 divided by -122? -35 What is -2335894 divided by 22? -106177 Divide 13150 by -2630. -5 What is 220518 divided by -110259? -2 Divide 5 by 12399. 5/12399 Divide 5460150 by -218406. -25 64 divided by 523 64/523 Divide -5 by -14803. 5/14803 What is -3 divided by 4003? -3/4003 Calculate -78200 divided by 184. -425 Divide -15090724 by 4. -3772681 3357 divided by -1 -3357 2 divided by -505336 -1/252668 What is -5507 divided by -491? 5507/491 Calculate 20856 divided by 79. 264 -131185 divided by -5 26237 What is 0 divided by 4499? 0 Divide 46 by -1758. -23/879 Divide 526284 by -27. -19492 What is 5 divided by 80293? 5/80293 Divide 3061 by 3061. 1 360480 divided by -40 -9012 5217 divided by 3 1739 -402519 divided by 30963 -13 What is -3 divided by -67935? 1/22645 -2 divided by 5311 -2/5311 -144096 divided by -304 474 What is 139 divided by -104? -139/104 What is -1350177 divided by -3? 450059 Divide 2055240 by 165. 12456 What is -23009 divided by 1? -23009 Divide 974 by 1234. 487/617 What is -3330 divided by 9? -370 Divide -415280 by 179. -2320 What is -892 divided by 143? -892/143 What is 5208 divided by 3? 1736 Divide -350 by -43. 350/43 4493 divided by -80 -4493/80 What is 340166 divided by 3? 340166/3 Calculate 315078 divided by 2. 157539 Divide -1213272 by 6. -202212 10846 divided by -5423 -2 -5995 divided by -1199 5 652 divided by -1634 -326/817 What is 133508 divided by 6? 66754/3 What is -3405244 divided by 11092? -307 Calculate 0 divided by 61235. 0 Divide -5 by -61989. 5/61989 What is 2999924 divided by 452? 6637 179660 divided by -6910 -26 What is -8 divided by 6513? -8/6513 Calculate 3 divided by -29837. -3/29837 Divide -66 by 1530. -11/255 190950 divided by -6365 -30 Calculate 262526 divided by 1. 262526 Divide -59 by -833. 59/833 Divide 21792 by 1362. 16 Divide 27993 by 1. 27993 Calculate -156 divided by 8699. -156/8699 What is 33463 divided by 1? 33463 What is 162112 divided by 20264? 8 What is -68 divided by -9414? 34/4707 Calculate 511200 divided by -14200. -36 532 divided by -1133 -532/1133 Divide -5 by -82541. 5/82541 Calculate -454 divided by 555. -454/555 What is -4040707 divided by -40007? 101 Divide 0 by -305134. 0 Divide 8000688 by -6. -1333448 -656502 divided by -109417 6 What is -26873 divided by -20? 26873/20 Divide -1222636 by -4. 305659 Divide 311025 by -5. -62205 What is 40 divided by 52120? 1/1303 What is 6027 divided by -57? -2009/19 Divide -599 by -2120. 599/2120 What is -1513 divided by 2? -1513/2 23680 divided by 148 160 Calculate 62010 divided by 6. 10335 Divide 8 by -362570. -4/181285 What is 3087 divided by 441? 7 58120 divided by 28 14530/7 -119 divided by 6251 -17/893 Divide 127020 by 174. 730 What is 4 divided by 14495? 4/14495 What is 2 divided by -113939? -2/113939 What is -119328 divided by 96? -1243 Divide 1133465 by -5. -226693 Calculate 6050 divided by -8. -3025/4 Divide 188764 by -188764. -1 Calculate 4279296 divided by -3. -1426432 599 divided by -1039 -599/1039 Calculate 11569254 divided by -6. -1928209 -7202 divided by 15 -7202/15 Calculate 21873 divided by 6. 7291/2 Divide -2 by -6460. 1/3230 969639 divided by -29383 -33 10147 divided by -6 -10147/6 Divide -98280 by -840. 117 What is 50067 divided by 36? 5563/4 Divide 106848 by -14. -7632 What is 182 divided by -1167? -182/1167 What is 2419920 divided by -6? -403320 Divide -338802 by 3. -112934 Calculate -9244809 divided by -3. 3081603 61 divided by 2808 61/2808 Divide 24168 by -25. -24168/25 Calculate -162 divided by 114. -27/19 What is -18 divided by 1057? -18/1057 Divide 38551 by -32. -38551/32 What is -79 divided by 12994? -79/12994 Calculate -357492 divided by -1922. 186 Calculate -137488 divided by 208. -661 What is -15246 divided by 6? -2541 -613280 divided by -7666 80 What is -2382 divided by 396? -397/66 -11689 divided by -2 11689/2 Divide -2 by 375. -2/375 -1800 divided by -6 300 What is 54543 divided by -16? -54543/16 -91380 divided by -1523 60 697615 divided by -83 -8405 Calculate -96055 divided by -5. 19211 Divide -5 by 57853. -5/57853 Divide 140014 by 2. 70007 0 divided by 709285 0 Divide -52 by 3754. -26/1877 Divide -994176 by -3. 331392 Calculate -4176900 divided by 59670. -70 Calculate 1440820 divided by -720410. -2 Calculate 3222 divided by -2. -1611 Calculate -70485 divided by -15. 4699 Calculate -510 divided by -633. 170/211 What is 3068 divided by -1? -3068 Calculate -81252 divided by -3. 27084 Calculate 1 divided by 186286. 1/186286 Calculate -161447 divided by 13. -12419 -7 divided by 57055 -7/57055 Divide -2 by 397462. -1/198731 -4126806 divided by -18 229267 Calculate -1064325 divided by 354775. -3 What is -24207 divided by -8069? 3 What is 742440 divided by 4? 185610 Calculate -238920 divided by 120. -1991 What is 243804 divided by 1? 243804 Calculate 1448122 divided by 2. 724061 63486 divided by -7054 -9 What is 0 divided by -16223? 0 -2 divided by 127376 -1/63688 -309610 divided by 5 -61922 Calculate 54246 divided by -15. -18082/5 Divide 2 by -51881. -2/51881 Divide 69692 by 38. 1834 Calculate 665747 divided by 665747. 1 Calculate -58410 divided by 6. -9735 Divide -8053 by -28
{ "pile_set_name": "DM Mathematics" }
+ 550. Let p(a) = -a**3 - 9*a**2 + 2*a - 11. Calculate p(i). -29 Let i(b) = 2*b**2 + 6*b - 5. Let d be i(2). Suppose 18*n - 13*n = d. Let k(j) = j**3 - 2*j**2 - 5*j + 3. Give k(n). -3 Let l(v) = -v + 8. Suppose -r - 5*s - 5 = 0, -2*r - 5 = -0*r + 5*s. Suppose -j - 2*j - 2*j = r. Calculate l(j). 8 Suppose -p = p - 6. Let c(s) = 4*s**2 - 4*s - 1. Let q(m) = 7*m**2 - 7*m - 3. Let a = -10 - -15. Let z(i) = a*c(i) - 3*q(i). Give z(p). -2 Let r(i) = 2*i + 12. Let a(y) = -2*y - 20. Suppose -2*m = d + 13, -5*m - 2*d - 27 = -5*d. Let j be a(m). Calculate r(j). -4 Let r be 8/(-14)*(-7)/2. Let l = 3 - 3. Let m(u) = u + l*u - r*u. What is m(0)? 0 Let x(m) = m**2 + m. Let a(c) = 6*c**2 + 9*c. Let t(v) = a(v) - 5*x(v). Let j be (-1 + (-20)/(-12))*45. Let r be (4/(-8))/(3/j). Calculate t(r). 5 Let y(b) = -b - 27. Let x be y(-18). Let o(j) = -j**3 - 8*j**2 + 12*j + 10. Calculate o(x). -17 Let q(u) = -u**2 + 30*u - 114. Let h be q(25). Let m(l) = l**2 - 14*l - 11. Determine m(h). -44 Let z(h) = -2*h + h + 2*h - 4 + 2. Let a(j) = j**2 - 2*j + 2. Let v be a(3). Suppose 3*u + 2 = v*u. Give z(u). -1 Let j(g) = -3*g - 4. Let z(t) = t. Let f(u) = -u + 5. Let y(x) = -f(x) - 6*z(x). Let c(w) = -3*j(w) + 2*y(w). What is c(-8)? 10 Let i = -39 + 36. Let s be (3 - 8/4)/((-3)/i). Let h(w) = -w**3 - w**2 + w - 1. Determine h(s). -2 Suppose 3*a - 5*a = -3*d - 4, 7 = a + d. Suppose -a*m = x - 2, -2 = m - x - 0. Let t(r) = m*r + 8 + r + 5. Give t(-6). 7 Suppose i = -3*i - 12, -5*m + 4*i = -42. Suppose -4*y + 7*y = m. Let w(q) be the first derivative of -q**4/4 + q**3/3 - q**2/2 + q + 7. Calculate w(y). -5 Let b(x) = -3*x**2 + 3. Let g(u) = 2*u**2 + u - 4. Let i(l) = 3*b(l) + 2*g(l). Determine i(-1). -6 Let j(k) be the first derivative of -k**4/4 + 5*k**3/3 + 17*k**2/2 - 13*k + 549. Calculate j(7). 8 Let m(l) = l**3 + l**2 - l + 5. Let q(x) = -x**3 + 15*x**2 - 3*x + 42. Let t be q(15). What is m(t)? -10 Let h(z) = z**2 + 5*z + 6. Let w be h(-6). Let y = w + -6. Let m = y + 0. Let j(f) = f**2 - 7*f. Determine j(m). -6 Let o(a) = -a**2 - 6*a - 8. Suppose -6 = -v - 4*t - 12, -3*v - 18 = -4*t. Calculate o(v). -8 Let h(i) = -i. Suppose -5*z + 3*z - 30 = -4*y, 2*z = -y - 15. What is h(z)? 9 Let h(r) = 2*r + 6. Let t be 1972/119 - 6/(-14). Suppose 4*o = 3*z - 25, -5*o + 0*z = z + t. Determine h(o). -2 Let g be 2 + -12 + 2 + 2. Let p(t) be the second derivative of -t**6/720 - t**5/60 - 2*t**4/3 - 10*t. Let a(i) be the third derivative of p(i). Calculate a(g). 4 Let x = -6 - -9. Let k(u) be the second derivative of 0 + 1/2*u**2 + 1/12*u**4 - 4*u - 1/6*u**x. Give k(3). 7 Let w(c) = -c**3 + 5*c**2 + 8*c + 8. Suppose -11*p + 2 = 13. Let o(i) = i. Suppose 0 = -2*k + 8 - 0. Let h(x) = k*o(x) + p*w(x). Determine h(6). 4 Let o(z) be the third derivative of -z**5/60 + z**4/6 + z**3 + 2*z**2. Suppose -6*c = -13 + 1. Let y be 2/(-4)*c - (-63)/9. Calculate o(y). -6 Let z(m) be the third derivative of m**7/2520 + m**6/240 - m**5/10 - 8*m**2. Let i(t) be the third derivative of z(t). Give i(-4). -5 Let j be (10 - 3) + 7 + -12 + 3. Let p(i) = i**2 + 3*i - 2. Let v be p(-4). Let m(g) = 7 + g**2 - 6*g + v*g - 3*g. What is m(j)? -3 Let a(w) = w - 1. Let o(g) be the first derivative of 2*g**2 - 9*g - 35. Let h(k) = 6*a(k) - 2*o(k). Give h(8). -4 Let h be (8/(-24))/(2*(-1)/18). Suppose -2 = -s, 3*x + 2*x + 3*s = 46. Suppose -h*o + x = -7. Let m(g) = -g + 8. What is m(o)? 3 Let b(k) = 3*k - 8. Let x(v) = -4*v + 9. Let u(l) = 5*b(l) + 4*x(l). Calculate u(4). -8 Suppose -10*w + 7*w = -9. Suppose 4*x - 4*u = -0*u - 36, 0 = -w*x - 5*u - 3. Let z(m) = -m**2 - 9*m - 2. Calculate z(x). 16 Let x(l) = l**2 - 6*l + 2. Suppose -3*m + m = k - 12, 19 = 5*m - 3*k. Let a be 138/m - 2/(-5). Let h = -24 + a. Calculate x(h). -6 Let s(a) = -a**3 - a + 1. Let w = -81 + 149. Let u = w + -67. What is s(u)? -1 Let o(n) be the second derivative of -n**5/20 - n**4/12 - 4*n**2 - 186*n. Determine o(0). -8 Let s(g) = 2*g - 7*g + 2*g + 2*g - 9330 + 9323. What is s(-3)? -4 Let f(a) = -a**3 - 4*a**2 + a + 4. Let r(i) = -5*i**2 + 15*i - 4. Let z be r(3). What is f(z)? 0 Suppose 0 = 2*t + 3*t + 40. Let k = t - -11. Let g(f) = 0 + 3 - 6*f - k. Give g(1). -6 Let y(i) = 6*i + 5. Let m be y(0). Let q(t) = -2*t. Let g be q(-1). Let o(d) = 3*d - d**g + 5*d**2 - 5*d**2 - 3 + d. Give o(m). -8 Suppose 7*t - 108 = -5*t. Let p(b) = -b**3 + 11*b**2 - 18*b - 10. Determine p(t). -10 Let q(g) = g**3 + 6*g**2 - 15*g + 4. Let h = -525 - -517. Calculate q(h). -4 Let x be 1 + (2 + -1 - -2). Let o(t) = -2*t**2 + 6*t - 12*t + 5*t + 5. Let z(h) = -3*h**2 - 2*h + 6. Let y(l) = x*o(l) - 3*z(l). What is y(-2)? 2 Let k(r) = r - 9. Let u be k(-10). Let a = u - -23. Let v(c) = c + 2. Give v(a). 6 Suppose -2*k + 60 = 4*k. Let r(s) = s - 14. Let g(u) = 2*u - 27. Let a(x) = 6*g(x) - 11*r(x). What is a(k)? 2 Let v(b) = 11*b**2 - b**3 - 2*b**2 + 3 + 2*b**3. Let l(t) = -7*t - 16. Let x be l(-1). Give v(x). 3 Let f(m) = 1 - 3*m - 3*m - 5 - m**2. Let s be f(-5). Let b(x) = -2*x**2 + 18 - 8 + 61*x**3 - 67*x**3 - 7 - 2. Determine b(s). -7 Let i(g) = g**3 + g**2 + g - 2. Let w = -100 - -169. Let r = -67 + w. Calculate i(r). 12 Let v(f) = f - 4. Let x = -12 + 12. Suppose 3*d + 2 - 5 = x. Suppose 2*u - 13 + d = 0. Give v(u). 2 Suppose 53 = 5*z - j, z + 4*j + 3 = 2*z. Let h(f) = 10*f - 6. Let b(n) = 2*n - 1. Let g(a) = z*b(a) - 2*h(a). Let q = 18 + -13. What is g(q)? 11 Let c(u) be the first derivative of -u**3/3 - 5*u**2/2 + 2*u + 34. Give c(-6). -4 Let t be -2 - (0 - (0 + 0 - 4)). Let m(v) = v + 12. Calculate m(t). 6 Let b(y) = -5*y - 12. Let a(f) be the first derivative of -3*f**2 - 13*f - 17. Let z(r) = -6*a(r) + 7*b(r). Let i be (-3 - 0)*(-8)/6. Determine z(i). -2 Let p(c) = -792 + 395 + 399 - 2*c**2 - 2*c. Give p(-2). -2 Let y(p) be the second derivative of p**4/12 - p**3/3 + p**2 - 2*p. Suppose -1 = 14*l - 29. What is y(l)? 2 Let t(d) = d**2 - 6*d + 1. Let n(q) be the first derivative of 2*q**3/3 - 8*q**2 + 9*q - 10. Let p be n(7). Let z be (-2)/(-10) - 24/p. What is t(z)? -4 Let y(r) = 2*r - 21. Let b be y(7). Let f(m) = m**3 + 7*m**2 + m - 7. Give f(b). -14 Let w be 20/(-6)*(-24)/20. Let y(f) be the third derivative of 0*f - 2/3*f**3 + 6*f**2 + 0 - 1/120*f**6 - 1/6*f**w + 7/60*f**5. Calculate y(6). 8 Let d(i) = 10*i**2 - 10*i**2 - 4*i**3 + 7*i**2 - 6*i + 9 + 3*i**3 - 21. Determine d(6). -12 Suppose 0 = -5*v + 2*v + 18. Let g(k) = 3*k**2 + k**3 + v - 858*k - 3 + 853*k. Give g(-4). 7 Let z(p) = -p. Let j(o) = -o**2 - 5*o - 4. Let r be j(-3). Let y(g) = 2*g**2 - 1. Let w(s) = r*z(s) + y(s). Determine w(2). 3 Let v be (-88)/(-14) - (-10)/(-35). Let q(y) = -y**2 + 2*y + 3 + 0*y - v*y + 0*y. Give q(2). -9 Suppose 0*y = h - 5*y + 1, -2*h - 2*y = 2. Let j = 3 + h. Let d(u) = 0*u - 4 + j*u**2 - 7*u - u**2 - 2*u**2. Calculate d(-5). 6 Let q be (-32)/(-20) + -1 - 2/(-5). Let n(v) be the second derivative of -v**5/5 + v**4/12 - v**2/2 + v - 17. Give n(q). -4 Let i(m) = 147*m + 5*m**3 - 4 - 154*m - 5*m**2 - 6*m**3. Determine i(-4). 8 Let v be (-65)/8 - 2/(-16). Let f be ((-19)/(-1))/((-8)/v). Let h(x) = -f*x**2 + 16*x**2 + 6*x - 4 - 4*x - x**3. Calculate h(-4). 4 Let o(g) = -6*g**2 + 3*g + 9. Let j(f) = -5*f**2 + 3*f + 8. Let s(t) = 7*j(t) - 6*o(t). Determine s(-4). 6 Let a(o) = -22*o**2 - 26*o - 1. Let c be a(-1). Let s(u) be the first derivative of u**3/3 + u**2/2 - 4*u - 2. Give s(c). 8 Let m(d) = -793 + 263 - d + 268 - 5*d**2 + 260. Give m(2). -24 Let b(c) = -5*c**3 + 13*c**2 + 21*c + 11. Let z(v) = 3*v**3 - 9*v**2 - 14*v - 7. Let h(s) = 5*b(s) + 8*z(s). What is h(-5)? -16 Let v(d) be the first derivative of -d**3/3 - 21*d**2/2 + 12*d - 42. Give v(-22). -10 Let y be (2/4)/((-6)/132). Let x(d) = -579*d**3 - 4 + 10*d**2 + 580*d**3 - 2 - 11*d - 3. Calculate x(y). -9 Let d(u) = -u**2 - u - 10. Suppose -l - 5 = 0, 8*q + 2*l + 10 = 3*q. Let b = 0 - q. Suppose 3*k + b*k = 0. Give d(k). -10 Let k(u) be the third derivative of 0*u - 5*u**2 + 0 + u**3 - 1/8*u**4. Give k(5). -9 Suppose 0 = 2*m + m + 45. Let b = 23 + m. Let u = b - 2. Let p(x) = 2*x - 5. Calculate p(u). 7 Let c(l) = l**3 + 2*l**2 - 1. Let r(y) = 5*y - 66. Let i be r(13). Give c(i). 0 Let a(h) be the first derivative of -1/2*h**2 - 43 - 6*h. Calculate a(-6). 0 Let r = -338 + 346. Let l(h) be the third derivative of 0 - 1
{ "pile_set_name": "DM Mathematics" }
0. What is the nearest to 2/13 in z, -0.1, -3? -0.1 Let s = -36 - -36.5. Which is the nearest to -1/4? (a) s (b) -3 (c) -2 a Let n = -0.1 + 3.1. Let i = 35.6 - 36. Which is the nearest to -0.1? (a) -3 (b) i (c) n b Let u be 54/60 + 3/(-2). Let o = 42 - 211/5. Which is the closest to o? (a) u (b) 5 (c) -3/2 a Let o = 74.7 + -75. Which is the closest to 2? (a) o (b) -0.5 (c) 3 c Let r = -0.3 - -0.2. Let i = 48 - 34. Let v = i + -13.8. Which is the closest to 0? (a) r (b) v (c) 0 c Let h = -4/7 + 9/28. Which is the closest to 0.1? (a) 0.4 (b) h (c) -3 a Suppose -d - 5 = 4*d. Let x = 3.27 + -0.27. What is the closest to d in x, -4/7, -0.3? -4/7 Let z = -511 - -3571/7. What is the nearest to 2/3 in 2, -1/2, z? -1/2 Let j = -18.101 + 0.101. Which is the closest to -1/3? (a) 0.2 (b) 1/2 (c) j a Let o(u) = -u + 16. Let x be o(14). Which is the nearest to -1/3? (a) 0 (b) x (c) 1 a Let l be 6/8 - (-88)/(-288). Which is the nearest to -0.1? (a) l (b) 0.4 (c) -1 b Let m(h) = h**3 - 9*h**2 - 5. Let u be m(9). Let k be 6/20*u/6. Let q = -81/2 + 39. Which is the closest to k? (a) q (b) -3 (c) -1 c Suppose -25 = -3*a + 8*a. Let x = 0.213 + -0.413. What is the nearest to -0.2 in 0.2, a, x? x Let d = 0.096 + -0.596. Which is the nearest to -3? (a) 4 (b) -5 (c) d b Let y = -8 - -4. Let j = 10.1 + -11. Let k = j - -1.1. What is the closest to k in y, 1, -5? 1 Let o = -3.98 + -0.02. Let w = 0 - -2. Suppose w*i = -4 + 12. Which is the nearest to 1/2? (a) o (b) 0.5 (c) i b Suppose -16 = -i - 2*i + 4*g, 34 = 5*i - 3*g. Let s be (-7)/(-3)*i/28. Which is the closest to 1? (a) s (b) -4 (c) 3 a Let i be 4/(-22) - 20/(-935)*14. Let g = -0.07 + -0.03. Which is the nearest to g? (a) i (b) 0.3 (c) 5 a Let h be (5/2 + -3)*2. Let y = 6 + -3. Let n = y - 4. What is the nearest to n in -1/4, 1/4, h? h Let p = 0.2 + -2.2. Let z = -8 - 20. Let h be 3/(-6) - z/40. What is the nearest to 1 in p, h, 1? 1 Let x = -14 - -10. Let y = x + 4.1. Let l = 0.4 - 0.3. Which is the nearest to l? (a) 3 (b) -2 (c) y c Let o = 77.8 - 78. Suppose 3*d - 5 = -n, -3*n + 3 = d - 12. What is the nearest to -2 in -3, o, d? -3 Let x = 0.03 + 0.07. What is the nearest to x in 0.1, -5, -2/7? 0.1 Let y(p) = -4*p - 1 + 2*p**2 + 0*p**2 + 0*p + 3. Let i be y(2). Let q be (i + 1)*10/(-75). Which is the closest to 1/2? (a) 3 (b) q (c) -1 b Let j = -1 + -4. Let p = 5 + j. Which is the closest to p? (a) -0.2 (b) 2 (c) -0.4 a Let p = 24 + -24.1. Let j = -2.1 - p. Which is the closest to -1? (a) j (b) 2/3 (c) -1 c Let k = 255/2 + -130. Let l be 26/30 - (-2)/(-3). What is the nearest to -2 in k, -4, l? k Let i = 43 - 124/3. Suppose 0*y = 4*y - 244. Let x = 243/4 - y. Which is the closest to -1? (a) i (b) x (c) -0.1 b Let v = -2113/12 - -503/4. Let o = v + 51. Let l = -2 - -3. What is the closest to o in -4, l, 0.3? l Let q be 4/10*(-20)/44. Let t = 0.09 - 4.09. Let r = 3 + t. What is the closest to r in 3, q, 2/13? q Let t = -66497/4508 - -1/1127. Let u = t + 995/68. Which is the closest to -0.1? (a) u (b) -3 (c) 0.3 a Let j = 0.1 + 0.1. Let n = -0.7 + j. Suppose -t - 2 = -0. Which is the nearest to 0? (a) -2/15 (b) n (c) t a Suppose -p + 16 = -2*r + 2*p, 4*r + 14 = -3*p. What is the nearest to 1 in -2, -1/3, r? -1/3 Let a = -4.7 - -6.5. Let m = 0.3 + -0.1. Let j = a + m. What is the closest to -1 in -0.5, j, -2/9? -0.5 Let i = 0.79 - 0.99. Let w = 0.1 + -0.4. Let u = 0.2 + w. Which is the nearest to -1? (a) -4 (b) i (c) u b Let k(z) = 2*z**2 - 2*z - 1. Let i be k(-1). What is the nearest to 2 in 7/4, i, -5/3? 7/4 Let w = 202 + -198. Suppose l + 6 = -4*l - 4*m, -l + 4*m = 6. Which is the nearest to -1? (a) 2 (b) l (c) w b Let r = -1 - -0.7. What is the nearest to 2/5 in 4, r, 0? 0 Let p = -0.43 - 6.97. Let w = 7 + p. Which is the closest to 0? (a) w (b) 2/13 (c) 5 b Let z = 45/4 - 11. Which is the closest to -3? (a) z (b) -4 (c) -0.1 b Let o = -64/273 + -2/39. Which is the closest to 2/3? (a) o (b) 3 (c) -2 a Let d = 1.81 + -2. Let h = -11.19 - d. Let k = -15 - h. What is the nearest to 0.2 in 0.5, -1/5, k? 0.5 Suppose 4*c - 23 - 13 = 0. Suppose 4*j + c = -11. Let w = -0.18 + -0.02. What is the closest to -1 in w, 1/2, j? w Let k(u) = -4*u - 2. Let o be k(-2). Let l = -32 + 31.9. What is the nearest to o in -1, 1/5, l? 1/5 Let y = 11.02 + -11. What is the nearest to 2 in 0.1, 4, y? 0.1 Let h = 2.05 - 0.05. Let o be (-9)/(-18)*(-3 + 3 + -1). Which is the nearest to o? (a) 0.5 (b) 0 (c) h b Suppose -3*h = -2*t + 5, -h = 4*h - 4*t + 7. Let d be 1/(3*(h - -2)). Let j = -3.7 + 8.7. Which is the nearest to -1? (a) j (b) -0.2 (c) d c Let z = -3593/3 - -1241. Let f = 44 - z. Let w = 24 - 122/5. What is the nearest to w in f, -2, -1? -1 Let z = -63.6 + 59.6. Let y = -6.7 + 7. Which is the closest to -2/17? (a) y (b) 3 (c) z a Suppose 1 = -2*m + 7. Suppose m*p - 20 = -8. Which is the closest to -2/9? (a) -2 (b) p (c) -1/4 c Let b = 1 - 3. What is the closest to 2/3 in 2/7, 15, b? 2/7 Suppose 3*z + 153 = -5*l - 0*z, 0 = 2*l - 4*z + 82. Let d be l/(-12) + 2/8. What is the nearest to 0.2 in d, -3, 2? 2 Let c = 17 - 9. Let f = c - 7.6. Let y be (-2)/(-3 - -2)*1. What is the nearest to -1 in y, f, -1? -1 Let r = -144 - -144.4. Let a = -13/5 + 47/20. What is the nearest to a in 1/3, -1, r? 1/3 Let y = -0.22 + 0.22. What is the closest to 2/7 in y, -1/2, 3? y Let f = -31/9 - -10/3. What is the closest to f in -2, 3, 2/3? 2/3 Let p = -2.9 + 3. Let f be (-1*2 - 0)*1. Let t be -1*f*(-3)/(-24). What is the closest to p in t, -2, -2/9? t Let d = -2 + 3. Let t = -27 - -32. What is the nearest to -1 in t, d, 0.4? 0.4 Let n = -2 - -5/2. What is the closest to -4 in n, 2, 0.4? 0.4 Let f = 149 - 153. What is the nearest to -1 in 1, -0.4, f? -0.4 Let t = 0 + -0.2. Let c = 2.5 - 6.5. Let k = 3 + -4. What is the nearest to k in t, 0.2, c? t Let u = -66 + 197/3. Which is the nearest to u? (a) 4 (b) -0.1 (c) -4/3 b Let u = 115 + -264. Let r be 1/14*4 + 149. Let v = r + u. What is the closest to v in 2, -5/6, -2/7? -2/7 Let z = 3 - -5. Let y = -10 + z. What is the closest to -1/3 in -0.4, -4/7, y? -0.4 Let l = -4 + 2. Suppose 0 = 2*q - q. What is the closest to -2 in l, -4/7, q? l Let z = -96 + 98. Let g = 733/7 + -105. What is the nearest to z in 2, -2, g? 2 Let i(x) = -x**2 - 6*x - 10. Let b be i(-4). What is the closest to b in -5, -5/6, -0.4? -5/6 Suppose 5*n - q + 7 + 47 = 0, -2*q = -8. Let w = -37 - n. Let z be (w/(-6))/3 - 2. Which is the nearest to z? (a) -3 (b) -1 (c) -4 b Suppose -3*o = -v + 20, -5*v - 3*o + o = -15. Suppose -3*d = -v*q + 16 - 46, 5*q + 5*d + 30 = 0. Let x = q + 6. What is the nearest to x in 0.3, 1/6, -3? 1/6 Let x = -3.48 + 0.48. Which is the closest to -3? (a) -0.3 (b) 0 (c) x c Let s(z) = z**3 - 6*z**2 + 7*z - 4. Let y be s(4). Let i be 16/(-54)*(-6)/y. Which is the closest to 1/4? (a) 2/5 (b) i (c) 0 a Let j = 0 + 0.2. Let v = -3.3 - -0.3. Which is the closest to 0.2? (a) v (b) -3/4 (c) j c Let p = 5 + -2. Let a = 0 - 0.1. What is the nearest to a in 1/8, 0.4, p? 1/8 Let y = -8 - -43/5. Let s(i) = -i**3 - 7*i**2 + 6*i + 84. Let v be s(-5). Which is the closest to -1/2? (a) -0.5 (b) y (c) v a Let y = 1.9 + 0.3. Let q = y - 0.2. Which is the closest to 1? (a) -2/5 (b) q (c) -0.5 b Let w = 6 + -6.3. Let q = 22.4 + -22. Which is the closest to 0? (a) 1/3 (b) w (c) q b Let u = -6 - -2. Let t = 9 + u. What is the nearest to 2/3 in 1/5, t, -5? 1/5 Let o = 3 + 0. Let w = o + -3.5. Suppose 5*p - 3*p + 2 = 0. Which is the closest to p? (a) 4 (b) 3 (c) w c Let v = 7.4 - 0.4. Let s = 7.3 - v. What is the closest to 1/2 in 0, -3, s? s Let f be (-44)/42 - 2/7. Suppose -5*x + 1 = 6*a - 2*a, -2 = 3*a + x. Let m be 1 - a/((-2)/(-6)). What is the closest to 1 in 0.4, f, m? 0.4 Let u = -4/11 - 1/88. Let q = -1.3 + -3.7. Let j = -5.2 - q. Which is the closest to 2/7? (a) 0.4 (b) u (c) j a Let d be (-2)/(-5) + ((-6)/15 - -4). What is the nearest to -9 in d, -0.3, -2/15? -0.3 Suppose 0 = -5*z, z + 10 = -5*v - 10. Which is the nearest to 0.1? (a) -1 (b) v (c) 2 a Let v = 0 + -0.2. Let j be (-2)/((-7)/2*2). Let q = 3.9 - 4. Which is the nearest to q? (a) j (b) -4 (c) v c Let s = 15 - 15.05. Let g = -3.189 + 0.139.
{ "pile_set_name": "DM Mathematics" }
16*b**2 + 0 + 3/8*b**4 - 1/2*b**3 + 0*b + 9/20*b**5. Is a(7) composite? True Let d(j) = -53*j - 4. Let y(w) = 109*w + 9. Let n(v) = -9*d(v) - 4*y(v). Suppose 2*s = 8 - 4. Is n(s) composite? True Suppose -8*b - 138 = -5*b. Let s = b + 48. Suppose -s*q = -4*q + 1094. Is q composite? False Suppose 74*c - 134*c - 994891 = -77*c. Is c a composite number? True Let n(w) = 21265*w + 1129. Is n(6) prime? False Let l be 2/(-7) - 50/(-175). Suppose 4*y + 2*w - 4320 = l, -w - w = y - 1077. Is y a prime number? False Let x(h) = 9*h - 10*h + 2*h - 32 - 29*h. Let q be x(-16). Suppose q = 4*c - 1076. Is c a composite number? False Let q be ((2/3)/(-1))/((-19)/124602). Let i = -1167 + q. Is i composite? True Let s = 220481 + -82470. Is s a composite number? True Suppose 0 = -3*j + 59 + 2548. Let t = 4710 + j. Is t a prime number? False Let b = 10 - 8. Let p(x) = -11*x + 2*x**3 + 4*x - 3*x**3 + 13 + 15*x**b. Is p(10) composite? False Let h be (252/22)/3 - 2/(-11). Suppose 9*z + 5*d + 3715 = h*z, 0 = z + 5*d + 751. Is (2/3)/((-5)/(-15)) - z composite? False Let r(i) be the first derivative of -7*i**4/4 - i**3 - i**2 + i - 2. Suppose -9 = -3*o, 4*b + 3*o + 6 = 7. Is r(b) a prime number? False Let w = 131784 - 23441. Is w a composite number? False Suppose 157 = 3*y - 4*a, 2*y - 4*a - 48 - 62 = 0. Let z = 39 - y. Is (2/z)/(9/(-16812)) a composite number? False Let z = -1501 + 819. Let n = -129 - z. Is n a composite number? True Let d(i) = -i**2 + 15*i + 10. Let g be d(11). Suppose 4*o - 76 = -4*n, -2*o + 69 = 2*o - 3*n. Is (-4)/o + 10002/g a prime number? False Suppose -2*j - 3 = y, -7*j = 3*y - 3*j + 1. Suppose y*l + 0*l - 265 = 0. Suppose -3*b + 326 - l = 0. Is b a prime number? False Let v(c) = 24*c**3 - 178*c**2 - 64*c + 7. Is v(24) composite? False Let d(j) = -4*j**2 - 16*j + 4. Let r be d(-4). Is r/48 + (-306525)/(-180) composite? True Let g be (-25)/(-4) - 17/68. Suppose -18996 = -g*j - 3558. Suppose 3*u - m = 2575, 2*m + j = 3*u - 0*u. Is u prime? True Suppose -12630 = 5*a + 5*p, -4*a - p - 12311 = -2219. Let r = a - -4461. Is r a prime number? False Suppose -5*t + 2*g + 122 = 0, 4*g + 26 = -4*t + 146. Suppose 14170 = 4*n + 2*h, t*n - 28*n = -h - 7095. Is n a composite number? True Suppose 4*j + 48 = -52. Let v = j - -25. Suppose 0 = -4*x + 3*i + 1502, v = -x + i + 118 + 257. Is x a prime number? False Let p be 1 - ((-343)/5 + 6/(-15)). Let s = 63 - p. Let h(a) = -167*a - 10. Is h(s) a composite number? True Is (-21)/(-28) + 19883175/156 composite? True Let n be (-2 - 21/(-12)) + 5548/(-16). Let p = n - 844. Let s = -632 - p. Is s prime? False Is (167295 - -144)*-3*(-3)/9 a prime number? False Let k = -89 - -79. Is k/(-2) - 36309/(-13) a composite number? True Let q(f) = -f - 13. Let u be q(-14). Let i(t) = 2*t**2 + 2*t - 1. Let v be i(u). Suppose -5*r + 4*r - 5*k + 170 = 0, -v*k = -15. Is r a prime number? False Let r(y) = 37*y**2 - 57*y + 37. Let q(h) = -h**3 - 10*h**2 - 8*h - 8. Let z be q(-9). Is r(z) composite? False Suppose 3 = 7*u - 18. Suppose 0 = 2*a + 2*x - 648, 2*a = -u*x + 372 + 279. Is a composite? True Let w(f) be the third derivative of -4*f**4/3 + 31*f**3/6 + 81*f**2. Is w(-3) prime? True Let a(b) = -b**2 - 18*b - 56. Let w be a(-14). Suppose -8*i = -x - 3*i - 6848, -3*x + 2*i - 20596 = w. Is (0 + (-8)/(-2))*x/(-136) a composite number? True Suppose 8 = -2*y, 4*y + 3890 + 1958 = -4*x. Let z = 2612 + x. Is z prime? False Let k be -1*(0 + -20779) - 0. Suppose -15 = -3*r - 6, 0 = 2*j + 2*r - 12. Suppose -14*t + j*t = -k. Is t prime? True Let w be 31 - -15580 - (-2 - -4). Let c = w + -2920. Is c prime? True Let o = 37 + -33. Let m be 3 - (o - -2) - (-6)/2. Suppose 3*p - 263 = -4*q + 788, -3*p + 3*q + 1065 = m. Is p prime? True Suppose 2*r - 1222 = -5*d + 3*d, 5*r + 3045 = 5*d. Let z = d + -181. Let w = 158 + z. Is w a prime number? True Suppose -z = -3624 + 869. Suppose d + 71 = -a - 484, a = -5*d - z. Let y = -131 - d. Is y a prime number? True Suppose 72 = -2*i - 7*i. Let b(a) = -184*a + 81. Is b(i) composite? False Suppose -m = 4*c - 41331, 5*c - 41346 = -m + 6*c. Is m a prime number? False Suppose -2*f - 18003 = -2*w + 251473, 0 = -3*w + 4*f + 404215. Is w a prime number? False Suppose -j + 3*g - 3 = 4*g, -j + 2*g = -12. Suppose 0 = -5*i + 4*n - 11148, -3*i + j*n - 6686 = n. Is (-2)/(-6) - i/3 composite? False Suppose -24*b + 25*b - 3 = 0. Suppose -9*r + 6651 = -8*r - 5*v, -33299 = -5*r + b*v. Is r prime? True Let n(z) = 41*z**2 - z - 171. Suppose 3*a + 2*q - 83 = 0, -3*a - 14 + 85 = -q. Is n(a) a prime number? False Suppose -5 = 5*s, 4*f + 2658*s = 2657*s + 165447. Is f composite? True Let g = -91350 + 155567. Is g composite? False Let d(a) = -5*a**2 + 88*a + 57. Let p be d(18). Let r(o) = o**3 - 14*o**2 + 20*o + 96. Is r(p) a composite number? True Let o(g) = -1 - 367*g**2 + 124*g**2 + 121*g**2 + 127*g**2 - 627*g**3. Is o(-1) a composite number? False Suppose -7*k = -11*k + 16. Suppose 0*s - 2*z = k*s - 52370, -s + 13094 = -z. Is s a composite number? False Suppose -2173*m + 15604 = -2169*m. Is m a prime number? False Let k(l) = 2*l**2 - 17*l - 7. Let q be k(9). Suppose -1039 = -q*b + 6063. Is b prime? False Let s(c) = 261538*c**3 - 3*c**2 + 433*c - 430. Is s(1) a composite number? True Let j = -102 - -166. Is 128/j + (-2)/((-4)/8610) a prime number? False Let c(s) = -355*s + 15. Let r be c(1). Let a = r - -1821. Is a a composite number? False Let k(w) = -31*w - 32. Let v be (27/(-18))/(1/6). Is k(v) a composite number? True Let h = 303391 + -129429. Suppose 20*y = h - 3782. Is y a prime number? False Suppose 147466 = -10*a + 813786. Suppose 4*b + 4*b = a. Is b a prime number? True Suppose -4*b = -3*m - 20725, -4*b = -135*m + 137*m - 20710. Suppose b = 4*i - 3*w, 4*i + 4*w - 885 = 4259. Is i a prime number? True Let b = 749 - 532. Let c = 1689 + -1963. Let a = b - c. Is a a prime number? True Suppose -52*r + 28798055 = 13*r. Is r composite? True Is 1/(3503745/(-19272715) + 4/22) a prime number? False Let j be -18*-3*2/18. Suppose 2 = 7*s - j*s. Suppose 3*o + l = -3*l + 189, 5*l = -s*o + 119. Is o prime? True Let d = 1748259 + -755308. Is d composite? True Suppose -5 = -f, -9*f = 2*a - 10*f - 182877. Is a a composite number? True Is 2*2/(-16) + (-20)/(-320)*465428 a prime number? False Is (135137/(-2) + -1)*(-118 + 116) a composite number? True Suppose -884190 = 4*l - 34*l. Is l composite? False Suppose 67080 = 5*k + 4*g, -g - g = -2*k + 26814. Is 3 - 0 - k/(-7) prime? False Let c be -2 - (2/(-8) + (-9830)/40). Let v be c/(15/7 + -2). Suppose v + 2373 = 3*s + k, 2*k = 4*s - 5448. Is s composite? False Let w(s) = s**3 - 4*s**2 - 15*s + 3. Let f(j) = -2*j**2 - 7*j + 2. Let z(y) = -5*f(y) + 2*w(y). Let t be 30 - 28 - (-3 + 0). Is z(t) composite? True Let u(y) = 4 + y**3 + 8 + 0 - 2 - 4*y - 6*y**2. Let h(j) = 7*j**2 + j - 1. Let b be h(1). Is u(b) composite? False Suppose -94331 = x + 4*x - 744676. Is x composite? False Suppose i + 4*d - 193 = 1568, 3*i + d - 5228 = 0. Is i a prime number? True Let o(t) = 4*t**2 - 14*t + 4. Let d be o(3). Let a(c) = 1685*c**2 + c - 7. Is a(d) composite? True Let s(c) = c**3 - 2*c + 495. Let l be s(0). Let x = l + -201. Suppose 5*v + 4*j - 71 = 662, -2*v + x = 2*j. Is v a composite number? True Suppose 3*p = -2*m + 48385, 92*p + 32248 = 94*p - 3*m. Is p a prime number? True Let s be 2 - 5162/4 - (-15)/10. Suppose 5*f - 2*q = 21068, 3 = 4*q - q. Let d = s + f. Is d a prime number? True Let h(m) = 4*m**3 - 28*m**2 + 36*m - 265. Is h(12) a composite number? True Is (-1908315)/(-25) + 1 + (-3)/5 a composite number? False Suppose x + 18722 + 882 = 2*d, -2*d + 19612 = 3*x. Is d composite? False Suppose 24 = 2*i - 3*w, -26 = -5*i - 0*w - w. Let f(u) = -u + 9*u**2 - 2*u + 0 + 1 - i. Is f(-14) a composite number? False Suppose -q = o - 1920, 0 = 4*q + o - 3*o - 7650. Suppose -3*l + 951 = -2*y + 170, -5*y - q = 5*l. Let t = y + 640. Is t prime? False Let z(m) = 5812*m - 167. Is z(9) prime? False Let u = -22949 - -286556. Is u a composite number? True Let t = 46394 - 17526. Suppose 0 = -3*h + 2*w + 86609, w = -2*h + 3*h - t. Is h a prime number? False Let l = -201 - -207. Is -26*(1505/(-14) - l) prime? False Suppose 0 = 2*u - 6*y + 8*y + 6070, 3*y = 5*u + 15151. Let b = -1881 - u. Is b prime? True Is (-2)/4*31298482/
{ "pile_set_name": "DM Mathematics" }
t + 30*t**2 - 2 + 23*t**2 - 76*t**2. Let m(y) = y**2 + y. Determine 3*m(s) + r(s). 5*s**2 - 3*s - 2 Let s(p) = 2049*p + 4. Let o(h) = 12285*h + 26. Calculate -2*o(x) + 13*s(x). 2067*x Let q(o) = 72*o**3 - 32*o. Let w(v) = -11*v**3 + 5*v. Let g(u) = u**3 - 27*u**2 + 24*u + 84. Let h be g(26). Give h*w(l) + 5*q(l). 8*l**3 Let k(j) = 1422*j**3 - 12*j**2 + j - 5. Let n(c) = -1424*c**3 + 9*c**2 + 4. Calculate 3*k(l) + 4*n(l). -1430*l**3 + 3*l + 1 Let y(f) = -6*f**2 - 11*f + 80. Let i(v) = v**2 + 2*v - 16. Let r(s) = -5*i(s) - y(s). Let t(x) = x**2 + 4*x + 4. Determine -4*r(m) + t(m). -3*m**2 + 4 Let j(v) be the third derivative of v**4/4 - v**3 - v**2. Let o(r) = -2*r + 2. Suppose -564 = -10*u - 484. Give u*o(p) + 3*j(p). 2*p - 2 Suppose -2*w - 4*d + 1006 = 1024, 0 = 5*w - d - 32. Let c(g) be the first derivative of g**2/2 - 1. Let x(f) = f + 1. Calculate w*x(n) - 4*c(n). n + 5 Let t(h) = -2*h**2 + 9*h. Let v(m) = -1277*m**2 - 117*m + 1. Calculate -26*t(s) - 2*v(s). 2606*s**2 - 2 Let o(w) = 0*w - 3*w + 1 + 0*w. Let d(c) = 53*c**2 + 6428*c + 1816. Let m be d(-121). Let l(s) = -1. What is m*l(f) - o(f)? 3*f - 2 Let q(p) = 0 + 2*p + 3 + 1 + 6*p**2 - 6*p. Suppose 94*r - 93*r = -4. Let c(a) = -a**2 + a - 1. Determine r*c(n) - q(n). -2*n**2 Let o(x) = 7*x + 78. Let z be o(0). Suppose 73 = f + z. Let n(t) = t**2 + t. Let m(a) = -2*a**3 + 3*a**2 + 11*a. Give f*n(j) + m(j). -2*j**3 - 2*j**2 + 6*j Let b(f) = 2*f**3 - f**2 - 3*f + 1. Let r(u) = 13*u**3 - 6*u**2 - 388*u + 6. Give 6*b(p) - r(p). -p**3 + 370*p Let x(y) = 2*y**3 + 4*y**2 - 6*y - 7. Suppose -2215 + 2161 = -9*s. Let l(h) = h**2 - h - 1. Calculate s*l(b) - x(b). -2*b**3 + 2*b**2 + 1 Let g(p) = -1746*p + 43. Let i(n) = 873*n - 20. Determine 6*g(s) + 13*i(s). 873*s - 2 Let r(q) = -q + 1. Suppose -1 = 2*y - 5. Suppose 58*x = 55*x + 81. Let w(t) = -27*t + 79*t - 22*t - 3 - x*t. Calculate y*w(v) + 7*r(v). -v + 1 Let p(q) = -123*q**2 + 64*q + 20. Let t(c) = 372*c**2 - 191*c - 70. What is -7*p(f) - 2*t(f)? 117*f**2 - 66*f Let v(k) = -133*k**3 + 3805*k**2 - 11*k - 10. Let p(c) = 24*c**3 - 761*c**2 + 2*c + 2. What is 11*p(s) + 2*v(s)? -2*s**3 - 761*s**2 + 2 Let t(w) = -71*w**2 + 369*w. Let y(l) = -16*l**2 - l. Give t(x) - 4*y(x). -7*x**2 + 373*x Let f(k) = k**3 - k - 1. Let h(l) = 61*l + 13*l**2 + 7*l**3 - 291 - 65*l - 13*l**2 + 285. Let t = 1 - 2. Give t*h(r) + 6*f(r). -r**3 - 2*r Let f be (9 - 12)/(7/84*9). Let n(s) = -s**3 - 5*s**2 - 5*s. Let p(x) = x**2 + x. What is f*n(l) - 20*p(l)? 4*l**3 Let d(n) = 3 + 67*n - 219 - 61*n. Let t be d(35). Let o(g) = 2*g - g + 5 - 3*g**2 - 4. Let v(r) = -6*r**2 + 2*r + 2. Give t*v(j) + 11*o(j). 3*j**2 - j - 1 Let i(o) = -59*o**2 - 31*o - 42. Let h(b) = -25*b**2 - 13*b - 18. Let w(c) = 19*h(c) - 8*i(c). Let k(t) = -7*t**2 + 3*t - 13. Give 6*k(r) - 13*w(r). -3*r**2 + 5*r Suppose 7*d = 3*d - 20. Let r(i) = -2*i - 5. Let t(h) = -95006 + 47500 - 6*h + 47492. Give d*t(y) + 14*r(y). 2*y Let l(s) be the third derivative of -s**6/30 + s**5/60 - 198*s**2 + 15. Let d be (-1 - (-62)/(-6))*-3. Let i(y) = 23*y**3 - 6*y**2. Determine d*l(t) + 6*i(t). 2*t**3 - 2*t**2 Let h(x) = -37*x**3 - 1569*x. Let r(c) = -12*c**3 - 523*c. Give 6*h(n) - 19*r(n). 6*n**3 + 523*n Let s(q) = -q**2 + 6*q. Let w = -2667 + 2669. Let i(n) = n**2 - 6*n + 1. Calculate w*i(r) + 3*s(r). -r**2 + 6*r + 2 Let o(p) = 2*p + 3. Suppose -163 = 2*r - 169. Suppose -7*w + 5*g = -r*w - 40, 5*w + g = 21. Let v(y) = 6*y + 8. Determine w*v(f) - 14*o(f). 2*f - 2 Let a(v) = -40*v**3 - 148*v**2 + 7*v - 18. Let p(h) = -120*h**3 - 444*h**2 + 22*h - 57. Determine 19*a(g) - 6*p(g). -40*g**3 - 148*g**2 + g Let m(h) = -5*h**2 - 4. Let i(a) = -a**2 - 1. Let w(n) = -628*n - 28259. Let x be w(-45). Let v(c) = -6*c + c + c. Let u be v(1). Calculate u*i(t) + x*m(t). -t**2 Let p(v) = 29*v + 1. Let d(y) = -84*y + 3. Let q(o) = d(o) + 3*p(o). Let t(g) = 2*g + 3. Calculate -3*q(l) + 5*t(l). l - 3 Let r = 863 + -858. Let v(t) = 62*t**2 + 5. Let h(o) = 249*o**2 + 21. Determine r*h(a) - 21*v(a). -57*a**2 Let n(c) = -335*c**3 - c**2 - 6*c. Let d(f) = 669*f**3 + 2*f**2 + 11*f. Give -6*d(q) - 11*n(q). -329*q**3 - q**2 Suppose -20*k + 20 - 60 = 0. Let d(b) = -6*b + 4*b + 3*b. Let x(v) = 5 - 3 - 6 + 2. Give k*d(r) + x(r). -2*r - 2 Let a(k) = -k**2 + 4*k - 4. Let m(v) be the third derivative of -v**5/60 + v**4/24 - v**3/6 - 3015*v**2. Determine -a(c) + 2*m(c). -c**2 - 2*c + 2 Let d(x) = 12228*x + 22. Let l(w) = 3055*w + 6. Determine 3*d(h) - 11*l(h). 3079*h Let w(l) = -9*l**2 - 27*l + 3. Let y(a) = -25*a**2 - 80*a + 10. What is -11*w(s) + 4*y(s)? -s**2 - 23*s + 7 Let o = 27523 + -27198. Let y(m) = 69*m**3 - 6*m**2 + 6*m - 6. Let i(k) = -3725*k**3 + 325*k**2 - 325*k + 325. What is o*y(b) + 6*i(b)? 75*b**3 Let a(k) = -29*k**3 - 17*k**2 - 34*k + 5961. Let o(t) = 10*t**3 + 6*t**2 + 12*t - 1987. Determine 6*a(j) + 17*o(j). -4*j**3 + 1987 Suppose 18*m - 3265 + 3193 = 0. Let a(c) = -14*c**3 - 11*c**2 + 9*c - 11. Let w(n) = 5*n**3 + 4*n**2 - 3*n + 4. Give m*a(o) + 11*w(o). -o**3 + 3*o Let s(i) = -15*i**2 + 174*i + 11. Let j(w) = -13*w**2 + 170*w + 10. Give 9*j(a) - 8*s(a). 3*a**2 + 138*a + 2 Let d(c) = -115*c**2 - 858*c - 19. Let f(z) = 163*z**2 + 1201*z + 27. Calculate -17*d(m) - 12*f(m). -m**2 + 174*m - 1 Let j(i) = 98*i**3 + 6*i**2 - 5*i + 3. Let t(c) = -2*c**2 + c - 1. Calculate -j(o) - 3*t(o). -98*o**3 + 2*o Let i(y) = y**2. Let a(f) = -15*f**2 - 6. Let o(w) = -43*w**2 - 17. Let b(v) = -17*a(v) + 6*o(v). Suppose 0 = 73*m - 71*m - 4. Calculate m*b(c) + 7*i(c). c**2 Let u(s) = 98*s**2 - 15*s - 10. Let d(n) = -198*n**2 + 31*n + 22. What is 6*d(b) + 13*u(b)? 86*b**2 - 9*b + 2 Let u(i) = i**2 - 3*i - 2. Let y(p) = p**2 - 2*p - 1. Let t = -3887 + 3884. What is t*y(q) + 2*u(q)? -q**2 - 1 Let g(w) = w + 20. Let a be g(-16). Let z(f) = -a + 3*f - 8*f + 3*f. Let v = 6 + -11. Let m(q) = -1. Determine v*m(r) + z(r). -2*r + 1 Let s(p) = -523*p + 10. Let k(w) = -785*w + 15. Give -5*k(f) + 8*s(f). -259*f + 5 Let h(t) = -376*t**2 + 11*t - 43. Let s(g) = -127*g**2 + 4*g - 15. Give 4*h(q) - 11*s(q). -107*q**2 - 7 Let s be (533/(-39) - -13)/(4/(-6)). Suppose -2*x - 4*c - 6 = 0, -2*c + 24 = 4*x - 6*c. Let q(i) = 4*i - 1. Let j(o) = o. Give s*q(r) + x*j(r). 7*r - 1 Let d(f) = 49*f - 2. Let x(k) = 146*k - 1009. Give -3*d(v) + x(v). -v - 1003 Let d(x) = 7*x**3 - 3*x + 3. Let l(n) = 20*n**3 - 8*n + 8. Let w be (-17)/(-2) - (2/1)/4. Suppose z - 16 = -w. Suppose 5 + 4 = -3*a. What is a*l(j) + z*d(j)? -4*j**3 Let r(c) = 5*c - c + 47 - c + 5*c. Let z be r(-6). Let g(o) = 7*o - 3. Let f(j) = -j + 1. Give z*g(h) - 6*f(h). -h - 3 Suppose 25 = 37*c + 30*c + 92. Let j(y) = 3*y**2 + 3*y + 10. Let m(d) = -d**2 - d - 1. Give c*j(v) - 5*m(v). 2*v**2 + 2*v - 5 Let t(k) = 48*k - 14. Let g(n) = -12*n - 19. Let c(j) = 5*j - 7. Let u(d) = -4*c(d) + g(d). What is 5*t(q) + 8*u(q)? -16*q + 2 Let u(l) = -4*l + 9. Let h(o) = -9*o + 92. Let p be h(10). Let i(j) = -p + 5*j + 2 - 5 - 3*j. Calculate -11*i(f) - 6*u(f). 2*f + 1 Let l(x) = -5*x**2 + 4*x - 2. Let n = 792 - 796. Let c(m) = -9*m**2 + 9*m - 5. What is n*c(f) + 9*l(f)? -9*f**2 + 2 Let k(p) = 5111*p**3 + 6*p + 12. Let m(u) = 15335*u**3 + 17*u + 34. Calculate 17*k(v) - 6*m(v). -5123*v**3 Let l(y) = -11*y**2 - y - 836. Let m(t) = -5*t**2 - 375. Give 2*l(n) - 5*m(n). 3*n**2 - 2*n + 203 Let g(a) = 61*a - 57. Let q(j) = 367*j - 326. Calculate -23*g(d) + 4*q(d). 65*d + 7 Let r(o) be the third derivative of o**4/24 - o**3/6 + 2*o**2. Let c(u) = -3*u + 3. Suppose 10*b + 4*b + 1778 = 0. Let j = 122 + b. What is j*r(q) - 2*c(q)? q - 1 Let o(x) = -x. Let u(c) = -44*c. Let w(m) = -m**2 - 42*m - 271. Let y be w(-8). What is y*u(k) - 2*o(k)? -42*k Let j(b) be the first derivative of 7*b**4/2 + 2*b**3/3 - 4*b**2 - 8*b + 226. Let v(t) = -9*t**3 - t**2 + 5*t + 5. Determine -5*j(s) - 8*v(s). 2*s**3 - 2*s**2 Let y(t) = -26. Let a(q) = q + 1. Suppose -8*b + 14*b - 3*b = 3. Calculate b*a(j) + y(j). j - 25 Let y(j) = j + 1. Let x(k) = -k**3 + 2*k**2 - 7*k - 2. Let i be 72/(-42)*(-238)/(-102). Give i*y(s) - x(s). s**3 - 2*s**2 + 3*s - 2 Suppose -2*l - 24 = 2*m, 2*l - 187*m - 6 = -184*m. Let p(a) = 4*a**3 - 5*a**2 + 5*a - 5. Let f(o) = -4*o**3 + 6*o**2 - 6*o + 6. Determine l*p(z) - 5*f(z). -4*z**3 Let i(y) = 8*y + 422 + 428 - 3*y - 1274 + 426. Let g(b) = 6*b - 4. Let
{ "pile_set_name": "DM Mathematics" }
. 112 Calculate the least common multiple of 1053 and 351. 1053 Find the common denominator of 145/168 and 10/861. 6888 What is the common denominator of -25/228 and 55/8? 456 Calculate the smallest common multiple of 48 and 420. 1680 Calculate the lowest common multiple of 22 and 4284. 47124 What is the least common multiple of 36 and 11526? 69156 What is the least common multiple of 1089 and 3? 1089 Calculate the lowest common multiple of 5344 and 5344. 5344 Calculate the smallest common multiple of 792 and 693. 5544 Calculate the common denominator of -63/20 and 123/50. 100 What is the least common multiple of 96 and 1386? 22176 What is the smallest common multiple of 77 and 1? 77 Calculate the lowest common multiple of 119 and 136. 952 What is the common denominator of -32/15 and -95/602? 9030 What is the common denominator of -97/584 and -49/730? 2920 What is the common denominator of -95/16 and 89/128? 128 Find the common denominator of -137/216 and 53/192. 1728 What is the common denominator of 31/444 and -19/62? 13764 What is the common denominator of -26/213 and -9/10? 2130 What is the common denominator of 29/18 and 95/28? 252 Calculate the lowest common multiple of 182 and 78. 546 What is the common denominator of -71/8 and -87/44? 88 What is the common denominator of -59/702 and 8/117? 702 Calculate the least common multiple of 1602 and 18. 1602 Calculate the least common multiple of 45 and 1620. 1620 What is the common denominator of -1/248 and 43/6? 744 Calculate the smallest common multiple of 75 and 75. 75 Calculate the common denominator of 81/10 and -13/20. 20 What is the smallest common multiple of 12 and 1708? 5124 Calculate the common denominator of 53/72 and 71/72. 72 Calculate the smallest common multiple of 486 and 66. 5346 What is the lowest common multiple of 1924 and 234? 17316 Calculate the common denominator of -27/2 and 25/186. 186 Calculate the smallest common multiple of 51 and 33. 561 Calculate the smallest common multiple of 32 and 3. 96 What is the lowest common multiple of 6 and 2? 6 Calculate the least common multiple of 636 and 549. 116388 What is the common denominator of -31/882 and -88/1323? 2646 Calculate the smallest common multiple of 74 and 1332. 1332 Calculate the common denominator of -44 and 85/352. 352 Calculate the smallest common multiple of 33 and 12. 132 What is the smallest common multiple of 163 and 3? 489 What is the common denominator of -73/6 and -83/226? 678 Calculate the smallest common multiple of 1050 and 70. 1050 Calculate the smallest common multiple of 2679 and 3. 2679 Calculate the lowest common multiple of 4 and 282. 564 What is the smallest common multiple of 6930 and 87? 200970 Calculate the smallest common multiple of 168 and 96. 672 Calculate the lowest common multiple of 300 and 12. 300 Calculate the smallest common multiple of 2169 and 18. 4338 What is the common denominator of -95/168 and 127/672? 672 What is the least common multiple of 1488 and 54? 13392 What is the common denominator of -11/4744 and -5/16? 9488 What is the smallest common multiple of 10 and 842? 4210 Find the common denominator of 7/148 and -83/24. 888 What is the smallest common multiple of 578 and 1156? 1156 What is the least common multiple of 14 and 26? 182 Find the common denominator of 77/60 and 85/168. 840 Find the common denominator of 71/462 and 15/14. 462 What is the lowest common multiple of 60 and 144? 720 Find the common denominator of -44/11259 and 151/2502. 22518 Calculate the common denominator of 97/124 and -97/10. 620 Calculate the smallest common multiple of 1110 and 1110. 1110 What is the least common multiple of 1026 and 228? 2052 What is the smallest common multiple of 1324 and 2979? 11916 What is the common denominator of -107/12972 and 8/759? 142692 What is the common denominator of 67/30 and -115/786? 3930 Calculate the lowest common multiple of 6 and 1506. 1506 Calculate the smallest common multiple of 1881 and 1197. 13167 Calculate the common denominator of 113/112 and -3/112. 112 Calculate the lowest common multiple of 36 and 60. 180 What is the lowest common multiple of 56 and 112? 112 Calculate the smallest common multiple of 15 and 8. 120 What is the smallest common multiple of 1278 and 144? 10224 What is the common denominator of 44 and -89/234? 234 Calculate the lowest common multiple of 92 and 52. 1196 What is the smallest common multiple of 135 and 27? 135 What is the lowest common multiple of 16 and 1200? 1200 What is the lowest common multiple of 350 and 98? 2450 Calculate the lowest common multiple of 30 and 236. 3540 Calculate the common denominator of 97/672 and 125/696. 19488 Calculate the lowest common multiple of 58 and 1218. 1218 Calculate the lowest common multiple of 209 and 8. 1672 Find the common denominator of -34/9 and 50/6473. 58257 What is the common denominator of -131/760 and -67/6? 2280 What is the smallest common multiple of 45 and 215? 1935 Find the common denominator of -101/222 and 37/12. 444 Calculate the least common multiple of 846 and 258. 36378 Calculate the lowest common multiple of 756 and 60. 3780 Calculate the least common multiple of 830 and 913. 9130 What is the least common multiple of 104 and 260? 520 What is the smallest common multiple of 849 and 2? 1698 Calculate the least common multiple of 210 and 168. 840 What is the lowest common multiple of 80 and 3200? 3200 Calculate the lowest common multiple of 16 and 300. 1200 What is the least common multiple of 6 and 30? 30 What is the least common multiple of 140 and 90? 1260 Calculate the common denominator of -65/46 and -37/92. 92 What is the common denominator of 17/124 and 25/217? 868 What is the lowest common multiple of 161 and 56? 1288 What is the common denominator of -149/282 and -17/10? 1410 Find the common denominator of -79/72 and -17/24. 72 Calculate the lowest common multiple of 10 and 2980. 2980 Calculate the lowest common multiple of 9 and 153. 153 What is the common denominator of 29/71 and 25/18? 1278 What is the smallest common multiple of 6273 and 12? 25092 Find the common denominator of -83/6 and -41/304. 912 What is the common denominator of -4/75 and 59/600? 600 Calculate the common denominator of -17/28 and 109/3080. 3080 Find the common denominator of -149/1200 and 63/640. 9600 Calculate the common denominator of 97/644 and 89/506. 7084 Calculate the smallest common multiple of 10 and 36. 180 What is the least common multiple of 100 and 740? 3700 What is the least common multiple of 18 and 232? 2088 Find the common denominator of 45/88 and 53/120. 1320 What is the lowest common multiple of 3 and 15317? 45951 Calculate the common denominator of -33/116 and 31/40. 1160 Calculate the least common multiple of 7 and 159. 1113 What is the least common multiple of 1263 and 9? 3789 Calculate the common denominator of -29/70 and -17/60. 420 What is the lowest common multiple of 153 and 102? 306 What is the common denominator of 3/208 and -45/104? 208 What is the common denominator of -1/506 and -49/20? 5060 Calculate the smallest common multiple of 6 and 115. 690 Calculate the least common multiple of 10 and 40. 40 Find the common denominator of 65/18 and -85/154. 1386 Calculate the common denominator of 14/9 and -25/319. 2871 What is the common denominator of -139/24 and 91/72? 72 Find the common denominator of 67/70 and 81/56. 280 Calculate the least common multiple of 9 and 69. 207 What is the common denominator of 2/153 and 52/153? 153 Calculate the common denominator of -27/3580 and -97/3580. 3580 Find the common denominator of -29/22 and -73/18. 198 What is the common denominator of 103/18 and 56/99? 198 Calculate the least common multiple of 665 and 11. 7315 Find the common denominator of -103/24 and -1/152. 456 Calculate the common denominator of -57/176 and 97/132. 528 What is the least common multiple of 231 and 63? 693 What is the lowest common multiple of 8 and 192? 192 Calculate the lowest common multiple of 448 and 112. 448 Calculate the common denominator of 31/27 and -43/33. 297 Find the common denominator of -121/6 and 79/1582. 4746 Calculate the common denominator of -8/27 and -46/131. 3537 What is the lowest common multiple of 186 and 155? 930
{ "pile_set_name": "DM Mathematics" }
6)/(10/(-15)). Find the third derivative of 6*c**6 + 4*c**6 - 15*c**6 + 9*c**x wrt c. -600*c**3 Let v = 8 + -5. Find the second derivative of -q**2 + 4*q - 2*q + 6*q - v*q wrt q. -2 Let z(r) = 19*r**5 - 12*r**2 - 15*r + 4. Let o(h) = -h**5 - 3*h**2 + 1. Let c(l) = 12*o(l) - 3*z(l). What is the second derivative of c(v) wrt v? -1380*v**3 Suppose -40 = -4*r + 4*m, r - 2*m - 11 = -0*m. What is the second derivative of -g**4 - 9*g - 9*g**4 - r*g**4 wrt g? -228*g**2 Let r(c) = c + 19. Let y be r(5). Find the second derivative of -y*u**4 - 20*u - 929*u**3 + 929*u**3 wrt u. -288*u**2 Let m(l) be the second derivative of 0*l**4 + 0*l**3 - 7/2*l**2 - 3/20*l**5 - 7*l + 0. What is the first derivative of m(k) wrt k? -9*k**2 Find the first derivative of 86*h**2 + 116 - 15*h**2 - 12 + h**3 wrt h. 3*h**2 + 142*h Let d(g) be the first derivative of -5/2*g**2 - 3 + 4*g. Find the first derivative of d(j) wrt j. -5 Let l(q) be the first derivative of 0*q + 0*q**4 + 0*q**5 - 4/3*q**6 + 1 + 8/3*q**3 + 0*q**2. What is the third derivative of l(f) wrt f? -480*f**2 What is the second derivative of 5 - 60*o + 14 - 89*o**5 - 20 + 119*o**5 + 170*o**5 wrt o? 4000*o**3 Suppose 2 + 10 = 6*l. Differentiate -689*p**l + 689*p**2 - 22 + 33*p**3 wrt p. 99*p**2 Suppose 0 = 2*z + 3*z - 80. Suppose 4*a = -z, -5*q = 2*a + 2*a + 1. Find the third derivative of 2*p**4 - p**2 + q - 3 + 2*p**2 wrt p. 48*p Let v(x) be the first derivative of -431*x**6/6 + 7*x**2/2 + x + 168. Find the second derivative of v(p) wrt p. -8620*p**3 Suppose 2*a + 4*a - 168 = 0. What is the second derivative of -a*h + 60*h - 17*h**4 - 2*h**4 - 26*h wrt h? -228*h**2 Suppose 0 = 5*k + 3*s - 29, 3*k - 21 = -0*k - 3*s. What is the third derivative of -19*z**k - 13*z**2 + 174 + 181 - 355 wrt z? -456*z Let f(z) = 1 + z - 1 - 2*z. Let m(y) be the second derivative of y**3/6 - y**2/2 - 2*y. Let b(u) = -5*f(u) - 3*m(u). Find the first derivative of b(t) wrt t. 2 Let k be (-5)/3 + 1/(-3). Let v(f) = f**2 - 8. Let h(p) = 31 - 16 - 22. Let i(s) = k*v(s) + 3*h(s). Find the first derivative of i(n) wrt n. -4*n Let f(j) be the second derivative of j**6/12 - j**4/3 + 10*j**3/3 + 15*j. Let x(h) be the second derivative of f(h). Differentiate x(u) with respect to u. 60*u Let z(b) be the first derivative of 9/2*b**2 + 16*b - 2. Differentiate z(m) wrt m. 9 Let i(k) = k**3 - 34*k**2 + 5*k + 10. Let z(o) = 35*o**2 - 6*o - 10. Let a(b) = -3*i(b) - 4*z(b). What is the second derivative of a(l) wrt l? -18*l - 76 What is the third derivative of -175*x**5 - 104*x**2 - 31*x**5 - 84*x**5 + 17*x**2 - 112*x**2 wrt x? -17400*x**2 Let v(q) be the third derivative of 5*q**6/12 + 157*q**5/60 - 2*q**2 - 496. What is the third derivative of v(g) wrt g? 300 Let t(s) be the first derivative of 377*s**3/3 - 650*s - 674. What is the first derivative of t(i) wrt i? 754*i Let j(p) be the second derivative of -77*p**4/12 + 14*p**3/3 + 3*p**2/2 - 4*p - 12. Find the second derivative of j(a) wrt a. -154 What is the second derivative of 1104*g**5 - 1186*g**5 + 2*g + 48*g wrt g? -1640*g**3 Let x(a) be the second derivative of 1/6*a**3 + 0*a**4 + 0 + 0*a**2 - 2*a - 11/20*a**5. What is the second derivative of x(d) wrt d? -66*d Suppose -3*d = o + 23, 0*o - 4*o = -2*d + 36. Let n = o + 14. Find the third derivative of 9*v**2 - 4*v**n + 6*v**3 - 4*v**2 wrt v. 12 Let n(g) = -g + 19. Let l be n(13). Suppose 9*r - l*r = 12. What is the second derivative of 3*s**4 - s**4 + 0*s + 3*s**r - 9*s wrt s? 60*s**2 Let l be 520/(-16)*(-1 - 1). Suppose 3*c - 2*y - 18 = 25, 4*c + 5*y = l. What is the second derivative of c*w**4 - w**5 + 5*w - 15*w**4 wrt w? -20*w**3 Let l(n) be the second derivative of 13*n**5/10 + n**4/12 + 13*n**3/6 - 150*n. Find the third derivative of l(z) wrt z. 156 Let w(i) be the first derivative of -51*i**4/2 + 289*i**2/2 - 352. What is the second derivative of w(f) wrt f? -612*f Find the second derivative of 0 + 101*k**4 + 2*k + 16*k**4 + 2*k + 2 wrt k. 1404*k**2 Suppose 0 = 3*y + 2*g - 2, 5*y + 1 = -0*g + g. Suppose 5*c + u - 7 = y, 3*c + 2*c - 3 = u. Find the second derivative of -9 - 6*x + 4*x**2 - c + 10 wrt x. 8 Let s be ((-24)/(-10))/((-28)/(-70)). What is the third derivative of -s*d**5 + 3*d**6 + d**6 + 6*d**5 + 5*d**2 wrt d? 480*d**3 Let a(y) be the third derivative of -y**9/3360 - y**7/240 - y**5/6 + 2*y**2. Let i(j) be the third derivative of a(j). Find the second derivative of i(p) wrt p. -108*p What is the first derivative of -43 - 17 - 83*k + 86 wrt k? -83 Let a(k) = -72*k**3 - 21*k + 60. Let g(z) = 18*z**3 - 6*z - 15 - z + 23*z - 11*z. Let h(c) = -5*a(c) - 21*g(c). What is the first derivative of h(u) wrt u? -54*u**2 Let v(l) be the third derivative of 0*l**6 - 7*l**2 + 17/24*l**4 + 0*l**3 + 0*l**7 + 0 + 0*l**5 + 0*l + 1/28*l**8. What is the second derivative of v(k) wrt k? 240*k**3 Let w(j) be the second derivative of 71*j**4/12 + 347*j**2/2 + j - 14. What is the derivative of w(x) wrt x? 142*x Let r(c) be the first derivative of -c**4/2 - 31*c**3/3 + 128*c - 125. What is the first derivative of r(i) wrt i? -6*i**2 - 62*i Let a(t) = t**3 + t + 1. Let j(v) = -3*v + 32. Let k be j(10). Let f(y) = 25*y**3 + 2*y + 43. Let z(i) = k*a(i) - f(i). Differentiate z(w) wrt w. -69*w**2 Let x(a) = 331*a**2 - 237*a. Let k(d) = -166*d**2 + 119*d. Let y(l) = -7*k(l) - 3*x(l). Find the second derivative of y(c) wrt c. 338 Let p be (16/(-6))/((-16)/24). Suppose -i + 3*i - 48 = -p*a, 5*a + 2*i = 60. What is the first derivative of a - 24 + 17 - 6*g**4 wrt g? -24*g**3 Let q(z) be the second derivative of -z**6/30 - 7*z**3/2 - 5*z**2 - 18*z. Let p(t) be the first derivative of q(t). What is the derivative of p(n) wrt n? -12*n**2 Find the second derivative of 1 + 32*j - 355*j**5 - 1 - 148*j - 93*j wrt j. -7100*j**3 Let c(g) = 1. Let r = 46 - 47. Let a(t) = -23*t**2 + 31. Let n(z) = r*a(z) + c(z). What is the derivative of n(k) wrt k? 46*k Let k(b) = -2*b**4 + 4*b**3 + 4*b - 62. Let t(o) = 3*o**4 - 7*o**3 - 7*o + 124. Let i(s) = -7*k(s) - 4*t(s). Differentiate i(d) wrt d. 8*d**3 Let q(a) be the third derivative of a**7/840 - 41*a**4/24 + 17*a**3/6 + 25*a**2. Let b(r) be the first derivative of q(r). Differentiate b(g) with respect to g. 3*g**2 Let r be 8*(1 - (-3)/(-6)). Find the third derivative of 17*s**2 + s - r*s + 3*s + 2*s**3 wrt s. 12 Let r(l) = 511*l - 194. Let p(f) = 2047*f - 777. Let b(q) = 6*p(q) - 22*r(q). What is the first derivative of b(v) wrt v? 1040 Let h = -6 - -11. Suppose -v - v = -10, -5*u + v = -h. Differentiate 30*r**2 + 13 - 47*r**u + 28*r**2 with respect to r. 22*r Let d(h) = 3*h**3 - h. Let w be d(1). Find the third derivative of -4*f**2 + 3*f**w - 15*f**3 - 2*f**3 - 5*f**2 wrt f. -102 Let x(m) = -4*m**5 + 7*m**4 + 47*m**2. Let k(r) = r**5 + r**4 - r**2. Let i(t) = 14*k(t) - 2*x(t). Find the third derivative of i(u) wrt u. 1320*u**2 Let j(f) = -4*f + 9. Let u(d) = 2*d - 4. Let k = 33 + -28. Let x(n) = k*u(n) + 3*j(n). Find the first derivative of x(y) wrt y. -2 Suppose -7*o + 25 = -2*o. Let r = -21 + 25. What is the third derivative of -5*s**2 + 6*s**2 + s**4 - 5*s**o - s**r wrt s? -300*s**2 Let y be (7 + -6)/(2/4). Differentiate t**2 + 429 - y*t**2 - 428 wrt t. -2*t Let k(t) be the third derivative of t**4/24 + 7*t**3/6 + 2*t**2. Let w be k(-5). What is the third derivative of -2*v**w + v**2 - 4*v**2 + v**2 - 9*v**5 wrt v? -540*v**2 Let w(t) = t**2 + 4*t + 5. Let d be w(-5). Let a = 13 - d. Differentiate 13 + 4*s**a - 2*s**3 - 8 with respect to s. 6*s**2 Let s(o) be the first derivative of 8 + 4*o + 13/3*o**3 + 0*o**2. What is the derivative of s(b) wrt b? 26*b What is the second derivative of 11653*w + 160*w**4 - 2*w**5 - 11804*w - 2*w**5 + 3*w**5 wrt w? -20*w**3 + 1920*w**2 Let g(x) = -2*x**3 + 1. Let t be g(-2). What is the third derivative of -3*h**6 - t*h**2 + 0*h**6 + 12*h**2 wrt h? -360*h**3 Let d(x) be the first derivative of 156*x**5/5 - x**4/4 + 250*x**2 - 135. Find the second derivative of d(h) wrt h. 1872*h**2 - 6*h Let y(j) = j**2 + j + 1. Suppose -25*o = -19*o + 36. Let r(g) = -12*g**3 - 33*g**2 + 6*g + 6. Let t(p) = o*y(p) + r(p). Find the third derivative of t(h) wrt h. -72 Let d(k) be the second derivative of 0 + 1/6*k**4 + 0*k**3 - 10*k + 0*k**2 - 1/10*k**5. Find the third derivative of d(c) wrt c. -12 Let
{ "pile_set_name": "DM Mathematics" }
3/3 - 4*p. What is the second derivative of a(g) wrt g? -4 Let p(x) = 17*x**3 + 6*x**2 - 44. Let a(o) = 16*o**3 + 5*o**2 - 43. Let k(g) = -6*a(g) + 5*p(g). What is the derivative of k(z) wrt z? -33*z**2 Suppose 3*t - 2 = -p, p = 2*t - 0*p - 8. Suppose -4*u = 4*r - 24, 0*u + 3*r - 8 = t*u. What is the third derivative of 5*a - 5*a - a**2 - u*a**3 wrt a? -12 Find the first derivative of 6 + 7 + f - 6 - 3*f wrt f. -2 Let g(k) be the first derivative of k**2/2 - 3*k + 1. Let f be g(5). What is the derivative of -y**2 - 3*y**2 - y**2 + 2 + f*y**2 wrt y? -6*y What is the second derivative of 8*m + 52*m**4 - 132*m**4 + 55*m**4 wrt m? -300*m**2 What is the second derivative of 24*z - 20*z**5 - z - 3*z wrt z? -400*z**3 Let f(z) be the first derivative of 0*z**5 + 4 + 0*z**4 + 0*z**3 + 1/2*z**6 + 0*z - z**2. Find the second derivative of f(b) wrt b. 60*b**3 Let x(w) be the third derivative of w**6/10 + 11*w**4/12 + 5*w**2. Find the second derivative of x(y) wrt y. 72*y Find the third derivative of -1032*l + 1032*l - 12*l**5 + 20*l**2 wrt l. -720*l**2 Let z(d) be the third derivative of -5*d**9/252 + 2*d**5/5 + 7*d**2. Find the third derivative of z(v) wrt v. -1200*v**3 Let q(b) = -8*b**2 - 4*b. Let y(h) = -4*h**2 - 2*h. Let z(x) = -2*q(x) + 5*y(x). What is the second derivative of z(m) wrt m? -8 Let b(u) be the second derivative of 6*u**6/5 + 13*u**3/2 + 14*u. What is the second derivative of b(g) wrt g? 432*g**2 Let r(n) be the third derivative of -2*n**7/105 + n**5/20 + 20*n**2. Find the third derivative of r(g) wrt g. -96*g Let s(f) = -f**3 - f**2 + f + 1. Let z(w) = 2*w**3 + 14*w**2 - 3*w - 3. Let i(d) = -3*s(d) - z(d). Find the third derivative of i(r) wrt r. 6 Let z(j) = -11*j**2 + 4*j - 8. Let a(n) = -12*n**2 + 3*n - 8. Let f(o) = 4*a(o) - 3*z(o). What is the first derivative of f(m) wrt m? -30*m Let c(g) = -4*g**2 + 14*g**6 + 11*g**2 - 2*g**6 - 6. Let w(r) = -25*r**6 - 15*r**2 + 13. Let j(x) = -13*c(x) - 6*w(x). Find the third derivative of j(v) wrt v. -720*v**3 Let x(i) be the first derivative of 6*i**7/7 + 2*i**3 - 25. Find the third derivative of x(h) wrt h. 720*h**3 Let l(t) = 4*t**2 - 4*t + 5. Let a be l(4). Find the third derivative of -53*i**5 - 2*i**6 - 9*i**2 + a*i**5 wrt i. -240*i**3 Let q = -7 + 8. Differentiate 1 + 6 + 2 - q - 4*c**3 wrt c. -12*c**2 Let j(u) be the third derivative of -u**7/105 + u**6/120 - u**5/2 - 44*u**2. What is the third derivative of j(o) wrt o? -48*o + 6 Let l be 2/(-5) + 12/30. Suppose l = 2*k + 1 - 5. What is the third derivative of 0*b**2 + 0*b**2 + k*b**4 - 2*b**2 wrt b? 48*b Let h(r) be the third derivative of 11*r**6/120 + r**3/2 - 11*r**2. What is the derivative of h(y) wrt y? 33*y**2 Let r(p) be the second derivative of 4*p**5/5 + 10*p**3/3 - 5*p. What is the second derivative of r(l) wrt l? 96*l Let h(r) = -r**2 + r. Let v(w) = -6*w**2 + 7*w. Let q be (-3 - -1)/(-2)*-2. Let b(i) = q*h(i) + v(i). Find the second derivative of b(z) wrt z. -8 Let k be (8/2)/(16/8). What is the derivative of 10 + n**4 - k*n**4 - 14 wrt n? -4*n**3 Suppose -4*k + 0*i = -2*i - 2, 0 = 2*k + 2*i - 16. Let s = 6 - 4. Find the third derivative of 0*w**s + 6 - 3*w**2 + 3*w**k - 6 wrt w. 18 Suppose o + 4*r - 3*r = 2, 3*r = 0. Find the third derivative of 0 + 32*m**o - 3*m**6 + 0 - 28*m**2 wrt m. -360*m**3 Find the first derivative of -2*i - 38*i**4 - 13*i**4 + 2*i - 38 wrt i. -204*i**3 Let j(t) be the first derivative of 3*t**7/14 + 3*t**4/4 - 7*t + 10. Let r(n) be the first derivative of j(n). What is the third derivative of r(p) wrt p? 540*p**2 Let c(m) = m**2 - 1. Let q(d) = 5*d**3 + 5*d**2 - 7. Let f(h) = -21*c(h) + 3*q(h). What is the third derivative of f(v) wrt v? 90 What is the third derivative of 4*y**2 - 22*y**2 - 4*y**6 + 17*y**6 wrt y? 1560*y**3 Let w(t) = -t. Let x(n) = -12*n**3 - 2*n**2 + 4*n. Let r(u) = 4*w(u) + x(u). Find the third derivative of r(a) wrt a. -72 Suppose -5*s = 5*u - 15 + 5, 0 = 2*u + 4*s + 2. Let z(a) be the second derivative of 0*a**4 + 0 - 3/2*a**2 + 0*a**3 - 3/20*a**u - 3*a. Differentiate z(t) wrt t. -9*t**2 Let y(c) be the third derivative of c**7/280 - c**4/8 - c**3/3 - 3*c**2. Let r(g) be the first derivative of y(g). What is the derivative of r(q) wrt q? 9*q**2 Let i be (1/(2/(-6)))/(-1). Find the second derivative of 1 + i*x - 1 + x**3 wrt x. 6*x Find the second derivative of -s + 6*s**4 + 4*s + 2*s wrt s. 72*s**2 Find the first derivative of 3 - 1 + 0 - 7*s - 5 wrt s. -7 What is the first derivative of 11 + 11*j - j**2 - 11*j + 0*j**2 wrt j? -2*j Let n(t) = -2*t - 2 + 3*t + 3. Let g(w) = 6*w + 5. Let v(d) = -d**2 - 5*d - 3. Let i be v(-4). Let r(f) = i*g(f) - 4*n(f). Differentiate r(q) with respect to q. 2 Let g = 1 - -3. What is the second derivative of s**3 + 0*s**3 - g*s**3 - s wrt s? -18*s What is the second derivative of 2*o + 11*o + 7*o**5 + 6*o**5 - 5*o wrt o? 260*o**3 Let d(o) be the third derivative of -2*o**2 - 1/6*o**3 + 0*o**5 + 0*o + 0 + 0*o**6 + 0*o**4 - 1/210*o**7. Differentiate d(k) wrt k. -4*k**3 Suppose 5*b - 2*s - 2*s - 30 = 0, 24 = 4*b + s. What is the second derivative of 6*u**3 - u**3 + 17*u - b*u wrt u? 30*u Let g(o) be the first derivative of 7*o**4 - 4*o + 36. What is the derivative of g(y) wrt y? 84*y**2 Let o(w) = -84*w**3 - 11*w - 51. Let a(y) = -28*y**3 - 4*y - 17. Let r(v) = -11*a(v) + 4*o(v). Differentiate r(g) with respect to g. -84*g**2 Let f be (-8)/10*40/(-16). Find the second derivative of -5*a - 8*a**3 + 5*a**3 + f*a wrt a. -18*a Let s(n) be the third derivative of 8*n**7/105 - 17*n**4/24 + 11*n**2. What is the second derivative of s(o) wrt o? 192*o**2 Let w = 9 + -7. Find the third derivative of -27*t**2 + 7*t**3 + 24*t**w - 3*t**3 wrt t. 24 Suppose -q - 6 = 3*m + 2*q, 4*q + 18 = m. Suppose -5*f = 10, 0*f + m = -2*x - f. Differentiate -2*c**4 + 2 + c**4 + x wrt c. -4*c**3 Let i(u) be the third derivative of -u**5/60 - 5*u**4/24 + 8*u**2. Find the second derivative of i(l) wrt l. -2 Let r(k) = -25*k**2 + 48. Let u(y) = -3*y**2 + 6. Let p(i) = 6*r(i) - 51*u(i). What is the first derivative of p(d) wrt d? 6*d Find the third derivative of -4*g**3 - 47*g + 93*g - 46*g - 10*g**2 wrt g. -24 Let n(i) be the third derivative of 3*i**4/8 + 8*i**3/3 + 14*i**2. What is the first derivative of n(k) wrt k? 9 Let j(k) be the first derivative of 0*k**3 + 3/2*k**4 + 0*k + 3/2*k**2 - 1. What is the second derivative of j(b) wrt b? 36*b Let d(v) be the third derivative of -5*v**2 + 0*v + 0 + 0*v**4 + v**3 - 1/20*v**5. Find the first derivative of d(n) wrt n. -6*n Let k(j) = -11*j**3 - 5*j - 21. Let w(t) = -3*t + 6 - 5 - 12 - 5*t**3. Let c(r) = 3*k(r) - 5*w(r). What is the derivative of c(a) wrt a? -24*a**2 Find the third derivative of 17*n**3 + 19*n**2 - 28*n**2 + 18*n**2 wrt n. 102 Let h(s) = -s. Let j(g) = g**2 - 8*g - 7. Let w(m) = -24*h(m) + 3*j(m). What is the first derivative of w(t) wrt t? 6*t Let u(c) = 90*c**3 - 7*c**2 - 32*c - 3. Let p(b) = -30*b**3 + 2*b**2 + 11*b + 1. Let r(d) = 7*p(d) + 2*u(d). Find the second derivative of r(z) wrt z. -180*z Let o(a) be the second derivative of 0 + 3*a - 1/2*a**3 - 1/8*a**4 - 1/120*a**5 + 0*a**2. Let z(x) be the second derivative of o(x). Differentiate z(i) wrt i. -1 Suppose 3 = 2*g - g. Suppose 2*l + g = 7. What is the third derivative of -2*o**l + 2*o**3 + 2*o**3 + 3*o**3 - 6*o**3 wrt o? 6 Suppose 0 = 2*c - 2*t + 8 + 12, 4*c = -t - 20. Let j = c - -12. Find the third derivative of m**2 - 3*m**2 + 2*m**j - m**6 + 4*m**2 wrt m. 120*m**3 Find the third derivative of -2*r**2 - 4*r**2 - 12*r**4 + 9*r**4 wrt r. -72*r Let a(l) be the second derivative of -27*l**5/20 - l**3/2 - 5*l**2/2 + 5*l - 2. Find the second derivative of a(t) wrt t. -162*t Let p(z) be the first derivative of 6*z**4 - 5*z + 22. Find the first derivative of p(a) wrt a. 72*a**2 Let n(o) = -o**2 + 7*o + 2. Let m be n(7). Let c be 2 + (-3 - 3/(-3)). What is the third derivative of -b**m + c*b**3 + b**3 - 3*b**3 wrt b? -12 Let r(t) = 158*t**3 - 130. Let k(s) = 53*s**3 - 44. Let f(i) = -11*k(i) + 4*r(i). What is the first derivative of f(w) wrt w? 147*w**2 Let u(w) be the first derivative of w**3 + 3*w**2 - 8. What is the second derivative of u(y) wrt y? 6 Let x(w) be the first derivative of 5*w**6/2 - 5*w**2 + 11. What is the second derivative of x(i) wrt i?
{ "pile_set_name": "DM Mathematics" }
0 to the nearest one million. -37000000 What is 0.0325125 rounded to two dps? 0.03 Round 0.044213 to 4 decimal places. 0.0442 Round -0.00000806 to 6 dps. -0.000008 What is 0.0826 rounded to 2 decimal places? 0.08 Round -648.875 to the nearest one hundred. -600 Round 146100 to the nearest one hundred thousand. 100000 What is -0.000000682 rounded to seven decimal places? -0.0000007 Round 0.679 to one dp. 0.7 What is -28.5 rounded to the nearest integer? -29 Round 8370 to the nearest one hundred. 8400 Round 2600 to the nearest 1000. 3000 Round -0.00000101997 to six decimal places. -0.000001 Round 0.0973 to two decimal places. 0.1 Round 17750 to the nearest one thousand. 18000 Round -228.2 to the nearest 10. -230 What is 325.9 rounded to the nearest ten? 330 What is -0.047383 rounded to 3 dps? -0.047 Round -2.622 to 1 decimal place. -2.6 Round 3589600 to the nearest one hundred thousand. 3600000 Round -4752400 to the nearest 10000. -4750000 Round 0.0000005 to five dps. 0 What is -266.78 rounded to the nearest integer? -267 Round -0.0000088 to 6 dps. -0.000009 What is -0.00000079582 rounded to 7 decimal places? -0.0000008 What is -65.062 rounded to one decimal place? -65.1 Round 54.484 to the nearest 10. 50 What is -1362.8 rounded to the nearest 100? -1400 Round -162.783 to the nearest 10. -160 Round 0.00003709 to six decimal places. 0.000037 What is -39390000 rounded to the nearest 1000000? -39000000 Round -0.001934 to 4 dps. -0.0019 What is -0.00001073 rounded to six dps? -0.000011 Round 0.001199 to 3 dps. 0.001 What is -0.00002451 rounded to 6 decimal places? -0.000025 What is 0.0623 rounded to 3 dps? 0.062 What is 0.0003423 rounded to five dps? 0.00034 Round 0.3225 to 2 decimal places. 0.32 What is 0.000513 rounded to five dps? 0.00051 Round -0.000000829 to seven decimal places. -0.0000008 Round 0.000202756 to 6 dps. 0.000203 Round -0.043426 to 4 dps. -0.0434 What is 122081 rounded to the nearest one thousand? 122000 Round 1.041 to one dp. 1 Round 0.0000024824 to 7 dps. 0.0000025 What is 0.001224 rounded to 3 decimal places? 0.001 Round 191.1 to the nearest ten. 190 What is -2.864 rounded to one dp? -2.9 What is 0.000011352 rounded to 7 decimal places? 0.0000114 What is 44.71 rounded to the nearest ten? 40 What is 272077 rounded to the nearest 1000? 272000 Round 1826.9 to the nearest one hundred. 1800 Round -0.0845 to 1 dp. -0.1 What is 0.00021646 rounded to 6 dps? 0.000216 What is 0.0015113 rounded to five dps? 0.00151 What is 0.00363743 rounded to 5 dps? 0.00364 What is -0.003347 rounded to 4 decimal places? -0.0033 Round 245570 to the nearest one thousand. 246000 What is -19262000 rounded to the nearest 100000? -19300000 What is -2.643 rounded to zero dps? -3 What is 0.004382 rounded to 4 decimal places? 0.0044 Round 215870 to the nearest ten thousand. 220000 What is 9490 rounded to the nearest one hundred? 9500 Round -59.2 to the nearest integer. -59 What is -3422.8 rounded to the nearest ten? -3420 What is -0.0011246 rounded to 4 decimal places? -0.0011 What is -0.253608 rounded to three dps? -0.254 What is 0.00008128 rounded to five dps? 0.00008 What is -12.2995 rounded to 1 dp? -12.3 Round -208900 to the nearest ten thousand. -210000 Round -3081.3 to the nearest 1000. -3000 Round -0.0049436 to 5 dps. -0.00494 What is -11767000 rounded to the nearest 100000? -11800000 Round 0.000084679 to five decimal places. 0.00008 Round -0.0004715 to 4 dps. -0.0005 What is -38020000 rounded to the nearest one million? -38000000 What is -2301300 rounded to the nearest one million? -2000000 Round 0.5492 to one decimal place. 0.5 Round 0.0030956 to four dps. 0.0031 Round -7452000 to the nearest one million. -7000000 Round 10.5085 to the nearest integer. 11 What is 829400 rounded to the nearest ten thousand? 830000 What is -610.6 rounded to the nearest 100? -600 Round 489840 to the nearest 10000. 490000 What is -7.84 rounded to the nearest integer? -8 Round -39300 to the nearest 10000. -40000 Round -39401 to the nearest one thousand. -39000 Round 0.018276 to four decimal places. 0.0183 Round 0.00000060768 to 7 decimal places. 0.0000006 Round -1.1249 to 1 dp. -1.1 Round 0.0213 to two dps. 0.02 What is -106500 rounded to the nearest one hundred thousand? -100000 What is 0.8454 rounded to 2 dps? 0.85 Round 1.7246 to 1 dp. 1.7 Round 0.00034257 to 4 decimal places. 0.0003 Round 142 to the nearest ten. 140 Round 88.1 to the nearest 10. 90 What is -15360 rounded to the nearest 1000? -15000 What is -95100 rounded to the nearest one thousand? -95000 What is -18.47 rounded to the nearest integer? -18 What is -9.18 rounded to the nearest integer? -9 What is 17833 rounded to the nearest 100? 17800 Round -3174000 to the nearest 100000. -3200000 Round 0.023242 to 3 dps. 0.023 Round -0.000000131 to 6 decimal places. 0 Round -58.596 to one decimal place. -58.6 What is 0.56098 rounded to three decimal places? 0.561 Round 0.0019084 to four dps. 0.0019 What is 519100 rounded to the nearest one hundred thousand? 500000 What is 3380.9 rounded to the nearest ten? 3380 What is -0.00001814 rounded to 7 dps? -0.0000181 What is 31.278 rounded to 1 decimal place? 31.3 What is 37549 rounded to the nearest one thousand? 38000 Round 1.449 to one decimal place. 1.4 What is 1498000 rounded to the nearest one hundred thousand? 1500000 What is 26522000 rounded to the nearest 100000? 26500000 What is -0.0137 rounded to 1 decimal place? 0 What is 543.8 rounded to the nearest 10? 540 What is 27523000 rounded to the nearest 1000000? 28000000 Round -0.0141403 to 3 dps. -0.014 Round 0.0000269 to four dps. 0 Round -0.0004803 to five decimal places. -0.00048 What is -0.000186 rounded to four dps? -0.0002 What is 93.521 rounded to the nearest 10? 90 What is -789470 rounded to the nearest ten thousand? -790000 Round -578420 to the nearest one hundred thousand. -600000 What is -0.0004894 rounded to 5 dps? -0.00049 Round -3115.2 to the nearest 100. -3100 Round 0.624 to the nearest 10. 0 What is -1125 rounded to the nearest one hundred? -1100 Round -0.0331492 to 3 decimal places. -0.033 Round 4.485 to the nearest integer. 4 Round -0.42073 to 1 dp. -0.4 Round -0.0004425 to 4 decimal places. -0.0004 What is 334.94 rounded to the nearest 10? 330 Round 281310000 to the nearest one million. 281000000 Round -595000 to the nearest ten thousand. -600000 Round -0.846 to 1 dp. -0.8 What is -0.000005458 rounded to seven decimal places? -0.0000055 What is 1604 rounded to the nearest 100? 1600 Round -163.8 to the nearest 10. -160 Round 64829 to the nearest 10000. 60000 What is -0.42973 rounded to 3 dps? -0.43 Round -58.059 to 0 dps. -58 What is -5224000 rounded to the nearest one hundred thousand? -5200000 What is 30.0527 rounded to 1 decimal place? 30.1 Round -0.00204828 to five dps. -0.00205 Round 33.11 to the nearest 10. 30 Round -0.000006941 to 6 dps. -0.000007 What is -0.0016962 rounded to four decimal places? -0.0017 What is -0.059263 rounded to two decimal places? -0.06 What is -0.1241 rounded to two decimal places? -0.12 Round -389640 to the nearest 10000. -390000 Round 0.0006004 to five dps. 0.0006 What is 2.65 rounded to 1 decimal place? 2.7 Round -0.00002582 to 5 dps. -0.00003 Round 8.825 to 1 decimal place. 8.8 What is -0.010336 rounded to four decimal places? -0.0103 Round 0.00001866 to six decimal places. 0.000019 What is -67.66 rounded to the nearest 100? -100 What is 1847600 rounded to the nearest one hundred thousand? 1800000 What is 0.24751 rounded to 3 dps? 0.248 What is 0.0341 rounded to 3 decimal places? 0.034 Round 7975 to the nearest 100. 8000 What is 1370000 rounded to the nearest one hundred thousand? 1400000 Round 9.296 to zero dps. 9 What is 475.19 rounded to the nearest one hundred? 500 What is -3.49571 rounded to two dps? -3.5 Round 0.0000304 to five decimal places. 0.00003 What is 612.14 rounded to the nearest ten? 610 Round 15060 to the nearest one thousand. 15000 Round -0.000028434 to seven dps. -0.0000284 What is -14282 rounded to the nearest one hundred? -14300 What is 0.00000110744 rounded to seven dps? 0.0000011 Round 144100 to the nearest ten thousand. 140000 What is -0.109 rounded to two dps? -0.11 Round -0.000053052 to 6 decimal places. -0.000053 What is 0.0494 rounded to
{ "pile_set_name": "DM Mathematics" }
3 + 172*x**3 - x - x to the form l + p*x + k*x**3 + s*x**2 and give l. -1 Rearrange -50 - 4*v**2 + v**2 - 45 - 6*v**3 + 97 - 5*v + 5*v**3 to p + y*v**2 + w*v**3 + i*v and give i. -5 Rearrange -96*v + 2807*v + 3252*v + 0 + 2 + 2398*v to c*v + l and give l. 2 Rearrange a**3 + 9618*a - 18258*a**2 + 18258*a**2 to y*a**2 + k + m*a + n*a**3 and give m. 9618 Rearrange (-29*k - 9*k**3 + 29*k + (2*k + 5 - 5)*(-k**2 + 4 - 4))*(-4*k + 11*k + k + 1) to s*k**2 + q*k + f*k**3 + w*k**4 + a and give f. -11 Rearrange (-6579*o**3 + 3068*o**3 + 3053*o**3)*((-1 - 2 + 2)*(-2 + 3 - 2) - 4 + 5 + 0) to the form w*o + r*o**3 + f + d*o**2 and give r. -916 Express -402*p + 76*p - 68*p - 2*p**2 - 205*p in the form c + h*p**2 + j*p and give c. 0 Rearrange ((-1182 + 2985 - 1178)*(-3 - 2 + 7) + (-1 - 2 + 2)*(-6 + 3 + 1))*(a + 0 + 0) to the form z*a + d and give z. 1252 Rearrange 0 + 2*l**2 - 5*l**2 + 72*l**3 - 2 + 79709854*l + l**4 - 79709853*l to the form d*l**4 + g*l + m*l**3 + s*l**2 + f and give m. 72 Rearrange -13 + 56*m + 15*m + 25 + 90*m + 1 to the form n*m + u and give u. 13 Express -2 - 6221*a**3 - 117*a**4 + 6222*a**3 + 1 - 20 - a - 17 in the form p + c*a**2 + q*a**3 + n*a + o*a**4 and give n. -1 Express 266 - 59*q + 60*q - 232 + 21*q**2 as d + p*q**2 + w*q and give p. 21 Express 56*z - 2*z**2 + 16*z**2 - 9*z + 5*z**2 in the form r + s*z**2 + j*z and give r. 0 Express -994*x + 491*x - 4*x**2 + 8 + 501*x + 25*x**2 as n + k*x + p*x**2 and give p. 21 Rearrange -56 + 3349*u - 16 - 26 + 98 to l*u + z and give z. 0 Rearrange -51*s**2 + 104*s + 4*s**3 + 118*s**2 - 64*s**2 - 2 to v*s**2 + a + m*s + o*s**3 and give a. -2 Express (1432*c - 511*c + 89*c)*(1 - 3 - 5) as o*c + k and give o. -7070 Rearrange 59*i + 1 - 2*i**3 + 53*i - 18*i**2 - 115*i + 0*i**3 to v*i**2 + k*i + y + b*i**3 and give b. -2 Rearrange 1225*h**3 - 12924*h - 9 + 12925*h + 1 - 2*h**4 + h**2 + 8 to the form n*h**2 + q*h**4 + x*h + l*h**3 + c and give l. 1225 Express -25*j**2 + 23*j**2 + 82 + 376 - 4*j as r*j + y*j**2 + q and give q. 458 Rearrange 13*c - 24*c + 141*c + (-4 + 2 + 3)*(-3*c + 5*c + c) + (-3 - 4 + 5)*(4*c - 5*c + 3*c) to b + f*c and give f. 129 Rearrange -131*b**3 - 48*b**2 + 53*b**2 + 72*b**3 to o*b**2 + n*b**3 + p*b + z and give n. -59 Rearrange 8*f**3 + 21 - 8 - 9*f**3 - 12 + 2*f - 3 + 872*f**2 to j*f + k*f**2 + m*f**3 + g and give m. -1 Rearrange (-3*h + h + 0*h)*(2 - 2 - 3)*(44 - 116 + 200) - 4*h - 4*h + 6*h to the form l + m*h and give m. 766 Express 2*u - u + u + (u + 0*u - 3*u)*(3 + 0 - 1) - 100*u - 128*u + 63*u - 1103*u as v*u + r and give v. -1270 Express -233*t + 258*t + 236*t + 1 + 316*t in the form h*t + v and give h. 577 Express -153*x**2 - 1 + 3821*x - 1921*x - 1901*x as s*x**2 + d + i*x and give i. -1 Express -4*k - 2*k + 4*k + (7 + 0 + 2)*(-k + 2*k + 2*k) + 11*k + 21*k - 7*k - 5 + 5 + 3*k in the form i*k + o and give i. 53 Express -146*c + 9*c + 284*c + 877*c + 994*c + c + 2*c - 8*c + (2 - 3 + 2)*(c - 2*c - c) + 3 - c - 3 + 2*c + 0*c - 3*c in the form h + z*c and give z. 2009 Rearrange d + d + 11*d - 4*d + 104 to g*d + f and give g. 9 Express -160*z**3 + 82*z**3 + 13*z - 5*z + 76*z**3 - 4*z**4 + 1 as c*z**3 + r*z**4 + n*z + s*z**2 + t and give r. -4 Rearrange -503035 + 503035 + 23*q - 76*q**2 - q**4 - 2*q**3 to c*q**2 + j*q + o + p*q**3 + h*q**4 and give j. 23 Express -437*k + 857*k + 2 + 19*k**3 - 2*k**2 - 423*k as s*k**2 + j*k + a*k**3 + m and give j. -3 Rearrange (-3 - 22 + 0)*(-53*p - 74 - 49*p + 99*p)*(-1 + 3 + 0) + (-4*p - 3*p + 5*p)*(-1 + 1 - 2) to the form c*p + w and give w. 3700 Express 171 - 99 - 8*f**2 - 79 - 20*f in the form h*f + p + c*f**2 and give h. -20 Rearrange 2*m - 4*m - 14*m**4 - 205*m**2 + 59*m**2 + 78*m**2 to g*m**2 + q*m**4 + c*m + w + v*m**3 and give q. -14 Rearrange (-2278 - 791 - 457)*(1 + 2*b - 1) to z*b + p and give z. -7052 Rearrange 12318*x**3 - 12326*x**3 - 2 - x + 10*x**4 + 2*x to o*x + z*x**2 + y + c*x**4 + f*x**3 and give f. -8 Rearrange (0*m**2 + 0*m**2 + m**2)*(96 - 40 - 51) - 58*m**2 - 73*m**2 - 1 + 117*m**2 to u*m**2 + g*m + z and give z. -1 Rearrange -123 + 2*n + 1199 - 3*n**2 - n + 2*n**2 - 2*n to h + f*n + d*n**2 and give d. -1 Express -146*g**2 - 142*g**2 + 2 - 141*g**2 - 150*g**2 + 98*g + 577*g**2 in the form d*g + t + j*g**2 and give t. 2 Rearrange 64*w**2 - 36*w**2 - 31*w**2 + 84 + 144 + 157 to v*w + z + l*w**2 and give z. 385 Rearrange -s - 7438 + 20989 + s**2 - 10332 to the form w + b*s**2 + v*s and give w. 3219 Rearrange (5*t - 2 + 0 - 2*t)*(335 - 198 + 182) to the form u*t + h and give u. 957 Rearrange (228 + 265*c**3 - 228)*(3*c + 2*c + 0*c) - c**4 + 0*c**3 + 0*c**3 to f*c + a*c**4 + z*c**2 + l*c**3 + n and give a. 1324 Express (-4*h + 0*h**2 - h**2 + 3*h)*(-1 - 1 + 1)*(-3 + 1 + 3)*(-h + 6*h - 2*h)*(-18*h - 78*h - 19*h) as s*h**2 + l + w*h**3 + z*h + o*h**4 and give l. 0 Express 1 - 3*h + 14*h**3 - 6*h**3 - 3 + 45*h**3 + 2*h**2 - 4*h**3 in the form g + o*h**3 + a*h**2 + u*h and give a. 2 Rearrange 8640 + 10591*s - 21201*s + 10608*s to a + j*s and give j. -2 Express (-2 + 3 - 2)*((2*n - 5*n - 2*n)*(1 - 4 + 4) + 118*n - 93*n - 36 + 34)*(0 + 0 + 2) in the form v + y*n and give v. 4 Rearrange (1 + 3 - 2)*(3*u**2 + u**4 - 3*u**2) - 5509*u**4 - 1253*u**4 + 3530*u**4 to the form g*u**4 + m + s*u**2 + k*u + h*u**3 and give g. -3230 Rearrange 1121*h - 720 + 1138*h + 1120*h - 3359*h to the form r + v*h and give r. -720 Rearrange (-2*f - 3*f + 2*f)*(3524*f**3 - 6749*f**3 + 4824*f**3 + (-f**3 + 0*f**3 + 0*f**3)*(2 + 1 - 2)) to d*f**3 + n*f**2 + j*f + h*f**4 + g and give h. -4794 Express 35*i - 12*i + 2520*i**2 - 25*i as u + b*i + k*i**2 and give k. 2520 Express -6*t**2 - 1300*t + 11 - 3 + t**2 + 2612*t - 1302*t in the form z + a*t**2 + o*t and give a. -5 Rearrange 131 + 159 + 1505*d - 289 to x + m*d and give m. 1505 Express (2*h - 2*h - 2*h)*((2*h + h + 6*h)*(-542 - 681*h**2 + 542) - h + h + 2*h**3) as v*h**4 + a*h + p*h**2 + w*h**3 + x and give v. 12254 Rearrange -4635*w**2 + 5181*w**2 - 9896*w**2 to v + z*w + r*w**2 and give r. -9350 Rearrange -19*o + 13*o - 95 - 3*o - 29*o to the form h + u*o and give u. -38 Rearrange -z - 8*z**2 + 386*z**4 - 42 + 6*z**2 + 5*z**3 - 378*z**4 to the form i*z**4 + j*z**2 + k + r*z**3 + g*z and give r. 5 Rearrange 23462 - 3*v - 4*v - 23505 to b*v + a and give b. -7 Rearrange -9973 + 9974 + 36*m**2 - m**4 + 54*m**4 to f*m**4 + n + l*m**2 + b*m + h*m**3 and give f. 53 Express -204*r - 35 + 34 - 54*r - 231*r as d*r + v and give v. -1 Express (-2*y**3 + y**3 - 8*y**3)*(-529 + 406 - 823 - 2317 - 2399) as k*y**3 + l + b*y + o*y**2 and give k. 50958 Express 3*j - 15406*j**2 - 3*j + 16909*j**2 + 4 + 2*j**4 as f*j**2 + k*j**3 + a*j + l*j**4 + m and give m. 4 Express 78*s**3 + 95 - s + 3*s**2 - 34 + 2*s - 2*s**4 - 29 - 30 in the form g*s + o*s**2 + r*s**4 + w + j*s**3 and give o. 3 Rearrange -14 - 1982*i + 14 - 2 + 8 - 7 to p*i + k and give p. -1982 Rearrange (-17*j**4 + 26*j**4 + 12*j**4)*(-138 - 174 + 250) to the form z*j + o + c*j**4 + f*j**3 + g*j**2 and give c. -1302 Rearrange 30*o - 835*o + 32*o - 421*o to k + j*o and give j. -1194 Express ((2 - 2 + 2)*(128*q + 131*q + 51*q) + 44 + 16*q - 44)*(-5*q + 2*q + 4*q) as i + s*q**2 + x*q and give s. 636 Express -2 - 15*f**2 - 12*f**2 - 12*f**2 - f**3 + 4 + 2*f**4 - f**3 in the form w + r*f**4 + p*f**3 + t*f + i*f**2 and give i. -39 Express t**3 - 8*t**4 - 33*t**4 - 1 - 2*t**3 - 437*t**4 in the form q*t + u*t**2 + a*t**3 + h + m*t**4 and give h. -1 Rearrange (160 - 15 - 59)*(-7*k**3 + 17*k - 17*k)*(-2*k - k + k) + (k - 3*k + 5*k)*(0*k**3 - 4*k**3 + k**3) to w*k**3 + b + t*k + l*k**4 + u*k**2 and give l. 1195 Express -y**3 - 18*y**2 + 45*y**2 + 0*y**3 + 7*y - 2 - 8*y + 6 in the form c*y**3 + t*y + f + d*y**2 and give c. -1 Rearrange -3797010 + 3797010 + 1148*a**3 - a**2 + a**2 - 3*a**3 + (-2*a + 0*a + 3*a)*(2*a**2 + 2*a - 2*a) to the form g + r*a**3 + k*a**2 + d*a and give r. 1147 Rearrange 377*a**2 + 415*a**2 + 468*a**2 + 2*a - 174*a**2 - 2 + 1 to x*a**2 + p*a + z and give x. 1086 Express m + 0 + 146*m**3 + 201*m**3 + 2*m - 1 - 3*m**3 as r*m**3 + b*m + s + l*m**2 and give r. 344 Express -10 - 9 - 5 - 17 + 27 + 115*z as a + j*z and give j. 115 Rearrange (h**3 - 2*h**3 + 2*h**3)*(3 - 2 - 2) + (4*h**2 + 2*h**3 + 8*h**2 - 5*h**2)*(-163 + 2 - 76) to l*h**3 + k*h + n*
{ "pile_set_name": "DM Mathematics" }
next: -395, -2776, -9235, -21812, -42547, -73480, -116651, -174100? -247867 What is the next term in 2912412, 2912409, 2912408, 2912409? 2912412 What comes next: 140, 606, 1366, 2396, 3672? 5170 What is next in -22668, -45038, -67410, -89784, -112160, -134538, -156918? -179300 What is the next term in -15157, -11242, -7327, -3412, 503? 4418 What comes next: 510871, 510945, 511019? 511093 What is the next term in 3066621, 6133313, 9200003, 12266691, 15333377, 18400061, 21466743? 24533423 What comes next: -68668, -68641, -68596, -68545, -68500, -68473, -68476, -68521? -68620 What is the next term in 335083, 670161, 1005237, 1340311, 1675383, 2010453, 2345521? 2680587 What comes next: 191757, 383540, 575333, 767130, 958925? 1150712 What is next in 41090, 41152, 41218, 41288, 41362? 41440 What is next in 20136, 80755, 181782, 323211, 505036? 727251 What comes next: -169, -77, 113, 437, 931, 1631, 2573, 3793? 5327 What is next in 2336152, 4672317, 7008482, 9344647? 11680812 What is next in -68141, -273769, -616477, -1096259, -1713109, -2467021, -3357989? -4386007 What is next in -5180, -5311, -5464, -5639, -5836, -6055? -6296 What comes next: 65341, 65573, 65787, 65977, 66137? 66261 What comes next: -440467, -880868, -1321269, -1761670, -2202071, -2642472? -3082873 What is the next term in 3876, 4754, 7128, 11742, 19340, 30666? 46464 What is next in -478012, -1912039, -4302082, -7648141? -11950216 What comes next: 243415, 487153, 731211, 975589, 1220287? 1465305 What is next in -1616, -1112, -252, 982, 2608, 4644, 7108, 10018? 13392 What is the next term in -3526, -5286, -8178, -12190, -17310, -23526, -30826? -39198 What comes next: -5203, -9675, -14147, -18619, -23091, -27563? -32035 What is the next term in -2307453, -4614823, -6922193? -9229563 What is the next term in -257, -508, -885, -1448, -2257, -3372, -4853? -6760 What is the next term in 167221, 334603, 501989, 669379, 836773? 1004171 What is the next term in -317, -931, -2121, -3881, -6205, -9087, -12521, -16501? -21021 What is next in -15849, -31507, -47125, -62703, -78241, -93739? -109197 What comes next: 1557, 3184, 4851, 6558? 8305 What is the next term in -25615, -51230, -76845, -102460, -128075, -153690? -179305 What is the next term in -65, -137, -245, -377, -521? -665 What is the next term in 3390202, 27121539, 91535170, 216972241, 423773898? 732281287 What is the next term in -139857, -139641, -139425, -139209, -138993? -138777 What is the next term in -144967, -145022, -145107, -145216, -145343, -145482, -145627, -145772? -145911 What comes next: 786, 1750, 2772, 3882, 5110, 6486, 8040, 9802? 11802 What is next in -735829, -1471660, -2207491? -2943322 What is next in -440366, -880704, -1321042? -1761380 What is the next term in 1467, 6808, 17521, 35088, 60991, 96712, 143733, 203536? 277603 What is the next term in 14738, 14755, 14784, 14831, 14902, 15003? 15140 What is next in 34525, 35178, 36957, 40426, 46149, 54690, 66613? 82482 What is next in -11533, -11771, -12393, -13591, -15557, -18483, -22561, -27983? -34941 What is the next term in -10879, -21533, -31977, -42211, -52235? -62049 What comes next: -346015, -1383905, -3113713, -5535433, -8649059? -12454585 What is next in 44348, 88751, 133238, 177845, 222608? 267563 What is the next term in -4504326, -4504332, -4504336, -4504338, -4504338, -4504336, -4504332? -4504326 What comes next: 178027, 356055, 534093, 712141, 890199, 1068267, 1246345? 1424433 What is next in 1689329, 3378648, 5067967, 6757286, 8446605? 10135924 What is the next term in 341079, 682157, 1023235, 1364313, 1705391? 2046469 What is next in 1364225, 1364240, 1364261, 1364294, 1364345, 1364420, 1364525, 1364666? 1364849 What is next in 1867103, 1867102, 1867101, 1867100, 1867099? 1867098 What is the next term in -50154, -50035, -49916, -49797, -49678, -49559? -49440 What is the next term in 8460, 35636, 80936, 144366, 225932? 325640 What is the next term in -316996, -315237, -313480, -311725, -309972? -308221 What is the next term in 8413, 8442, 8487, 8548, 8625, 8718? 8827 What is the next term in -3696, -14950, -33700, -59940, -93664, -134866, -183540, -239680? -303280 What is the next term in -65, 265, 1105, 2713, 5347? 9265 What is next in -74874428, -149748852, -224623274, -299497694, -374372112, -449246528, -524120942? -598995354 What is the next term in -522782, -522789, -522786, -522773? -522750 What is next in -7719702, -30878803, -69477304, -123515205, -192992506? -277909207 What is the next term in -1032496, -2064993, -3097490, -4129987? -5162484 What is the next term in -4613, -15007, -32315, -56525, -87625? -125603 What is the next term in -67594, -67220, -66178, -64132, -60746? -55684 What is the next term in 1010, 12544, 43818, 104702, 205066, 354780, 563714? 841738 What is the next term in 12256, 14834, 19128, 25132, 32840? 42246 What is next in 34327, 69197, 104067, 138937? 173807 What is next in -88808, -710386, -2397496, -5682902, -11099368, -19179658, -30456536, -45462766? -64731112 What is next in 4615, -18798, -57811, -112418, -182613, -268390, -369743? -486666 What is next in -208437, -208552, -208667, -208782? -208897 What is the next term in -11245, -19655, -28061, -36463? -44861 What is next in 2521, 12784, 22989, 33106, 43105, 52956? 62629 What is next in -1344885, -2689793, -4034701, -5379609? -6724517 What is the next term in -60474, -60469, -60460, -60447, -60430, -60409, -60384? -60355 What is the next term in 4356, 4563, 4770, 4977, 5184, 5391? 5598 What is the next term in 7320, 14607, 21864, 29091? 36288 What is next in -55467, -110923, -166375, -221823? -277267 What is next in -52412, -99813, -178822, -289445, -431688, -605557? -811058 What is the next term in -5546733, -5546734, -5546735, -5546736? -5546737 What is next in 31785, 64177, 96519, 128787, 160957, 193005? 224907 What is next in -1438606, -5754424, -12947454, -23017696? -35965150 What is the next term in -25332, -26023, -26714, -27405? -28096 What is the next term in 14269, 57602, 129999, 231460, 361985? 521574 What comes next: 8428, 14677, 20924, 27169, 33412, 39653, 45892? 52129 What is the next term in -763, -5827, -19359, -45595, -88771, -153123, -242887, -362299? -515595 What is the next term in -4756031, -9512060, -14268089? -19024118 What is next in 1118810, 1118643, 1118368, 1117985, 1117494, 1116895, 1116188? 1115373 What comes next: 371, -764, -1899, -3034, -4169, -5304? -6439 What is next in -5368, -4798, -3842, -2500? -772 What comes next: 49256, 84206, 119156? 154106 What is next in -3407, -3332, -3257? -3182 What is the next term in -7933, -30070, -66949, -118558, -184885, -265918? -361645 What is the next term in 21663, 43337, 65015, 86697, 108383, 130073, 151767? 173465 What is the next term in -2617418, -2617381, -2617344, -2617307, -2617270? -2617233 What is the next term in 3530, 3498, 3474, 3458, 3450, 3450, 3458? 3474 What is next in -5499888, -5499877, -5499866, -5499855, -5499844? -5499833 What is the next term in -1023, -4036, -9043, -16044? -25039 What is next in 70545, 282183, 634875, 1128591, 1763301, 2538975, 3455583, 4513095? 5711481 What comes next: 10918, 10363, 9432, 8125? 6442 What is the next term in 48721, 44654, 40587, 36520? 32453 What is the next term in 374860, 1499465, 3373810, 5997895, 9371720, 13495285, 18368590? 23991635 What is next in -2234, -18188, -61526, -145916, -285026, -492524? -782078 What comes next: -2006, -3267, -7142, -15083, -28542, -48971, -77822? -116547 What is next in 2887615, 5775227, 8662839, 11550451? 14438063 What comes next: -1308160049, -2616320100, -3924480151, -5232640202? -6540800253 What is the next term in 11744, 38320, 82612, 144620, 224344? 321784 What is the next term in 96829700, 96829702, 96829704, 96829706, 96829708? 96829710 What comes next: 3977, 10491, 21297, 36401, 55809, 79527, 107561, 139917? 176601 What is the next term in 3444, 5592, 9166, 14166? 20592 What comes next: -213, -1017, -2423, -4431, -7041? -10253 What comes next: 265703, 532667, 799631? 1066595 What is next in 125, 488, 1109, 1988, 3125, 4520, 6173? 8084 What comes next: -443193827, -886387651, -1329581475, -1772775299? -2215969123 What is the next term in -93479, -93673, -93867, -94061, -94255, -94449? -946
{ "pile_set_name": "DM Mathematics" }
-3/4? -3/4 What is the closest to 286 in 2/11, 4/9, 65/2? 65/2 What is the closest to -3/2 in 0.1, 19/8, -0.318, -4, -1/2, -1/7? -1/2 Which is the nearest to -3? (a) -0.2 (b) 6 (c) -22 (d) 1 (e) 49 a What is the nearest to -204 in -1/9, -0.5, 0.16, -60? -60 What is the closest to -27.9 in -1, -5/3, 13? -5/3 Which is the nearest to 2.4? (a) -3136.6 (b) -0.05 (c) 0.4 c Which is the closest to 23? (a) 0.3 (b) -0.56 (c) -2/7 a Which is the nearest to 0? (a) -0.26 (b) 0 (c) -0.3975 (d) -1/7 (e) 1/3 (f) -1/4 b Which is the closest to -0.1? (a) 0.1 (b) -56 (c) 451 (d) 0 (e) 21/4 d What is the closest to -19 in -132751, 1/4, 4, 1.7, 2/7? 1/4 What is the closest to 0.017 in 4/11, 3/5, -1/280? -1/280 Which is the closest to -1? (a) 0.4 (b) 495/13 (c) 14.7 a Which is the closest to -14? (a) -4 (b) -2 (c) 2 (d) -5.3 (e) -2.2 (f) 0 d What is the closest to -1/9 in -4, 2, 3905/8? 2 Which is the nearest to -2/101? (a) 1/11 (b) -0.2 (c) 9338 a What is the nearest to 2/21 in 247, -10/303, -0.5? -10/303 Which is the nearest to 1/4? (a) -3/7 (b) -0.041 (c) 21529 b Which is the nearest to 0? (a) 107/41 (b) 0 (c) 1.2 (d) -0.5 b Which is the nearest to 2? (a) 239 (b) -1/2 (c) 5 (d) -4.1 (e) -3 b Which is the closest to -14? (a) 0.4 (b) 20 (c) 1/7 (d) -5 (e) 1/2 (f) -1/230 d Which is the nearest to 0.1? (a) -23.2 (b) -68 (c) -22 (d) 6 d Which is the closest to -2? (a) -3 (b) 6286 (c) -0.6 (d) -2 (e) 0 (f) 5 d Which is the nearest to 4? (a) 0.039 (b) 2/13 (c) 0.3 (d) -7 (e) 0.689 (f) -0.1 e Which is the closest to -0.05? (a) -2 (b) 1/5 (c) 0 (d) -383 (e) -1558 c Which is the closest to -5/123? (a) 4 (b) -0.1 (c) 0.3 (d) 3 (e) 2 b What is the nearest to 1 in -19/3, -2, 17372? -2 Which is the nearest to -2/5? (a) 1901.36 (b) 1/3 (c) 2/3 b What is the closest to -31 in 1/4, -2/11, 3, -0.4, 268? -0.4 What is the nearest to 28 in 3, -3/2, 23.2777? 23.2777 Which is the closest to -1012? (a) -1/4 (b) -0.5 (c) 3 (d) 3/4 b What is the nearest to -0.6 in 5, 78731, -8? 5 What is the closest to 5.57 in 5/4, -2/3, 0.2, -145, 0, -0.2? 5/4 Which is the nearest to -3/11768? (a) 0.8 (b) 2/19 (c) 6 b Which is the nearest to 2? (a) 1117 (b) -4 (c) 0.5 (d) -3 (e) 1 (f) 1/277 e Which is the nearest to 0.1? (a) -0.4 (b) -6 (c) -0.04 (d) -7 (e) -21/4 (f) 282 c Which is the nearest to 35? (a) 19/4 (b) 112.2 (c) -3/4 a What is the closest to -1/2 in -6, -36, 2459? -6 What is the closest to -2/3 in -2, -6, -6/145, 4, 0, 2? -6/145 Which is the closest to -1/2? (a) -836 (b) -5/179 (c) -0.2 c What is the closest to 0 in -6, -0.2, 120, 1, -0.725? -0.2 Which is the nearest to 0.1? (a) -4 (b) 1741/4 (c) 0.32 c What is the nearest to -0.19 in 12.8, -3, -1.4, -4, 0.09? 0.09 What is the nearest to 2 in -2, -2/103, 119/2, -1, -3? -2/103 What is the closest to -4 in -0.794, -3/176, -2/3? -0.794 Which is the closest to 0.14? (a) 1/3 (b) -9/2 (c) 80 (d) -0.05 (e) -0.3 (f) -0.2 d What is the closest to -1/2356 in -1/40, 6, 2/3, -5, 0? 0 Which is the nearest to -2/5? (a) 5336 (b) -2/5 (c) 1/183 b Which is the nearest to -2/11? (a) -25/6 (b) -7/12 (c) -2 b Which is the closest to 3/2? (a) 2/5 (b) 3 (c) -51289 (d) -0.3 a What is the closest to 2/3 in -0.2, -16, -1.545808? -0.2 What is the closest to 3/2 in 0.54, 0.4, -221? 0.54 Which is the nearest to -0.1? (a) 2371 (b) 3/4 (c) -2/3 (d) 0.1 (e) -0.5 d Which is the closest to 50/13? (a) 4 (b) -0.02 (c) 0 (d) -2/39 (e) -0.2 a Which is the nearest to 2? (a) -15 (b) 6638 (c) -0.4 c Which is the closest to -0.507? (a) 0 (b) 182/11 (c) 70 a Which is the nearest to -12? (a) -2251 (b) -5 (c) 0.3 (d) -0.4 (e) 0.18 b Which is the closest to -4640? (a) 2 (b) 2/15 (c) -0.3 (d) -2/11 c Which is the nearest to 2/17? (a) -315 (b) -2/23 (c) -5 (d) -0.4 (e) -1.35 b What is the nearest to 6/23 in 2, -42, 75? 2 Which is the nearest to 25872? (a) -2 (b) 1.1 (c) 1 b What is the nearest to 3 in -3.487, -2/9, 2? 2 Which is the nearest to -1/5? (a) -14/5 (b) 129 (c) 0.5 c Which is the nearest to -5? (a) 1/4 (b) -4 (c) 0 (d) 7/6 (e) -2/11 b Which is the closest to -1? (a) -604452 (b) 48 (c) 0.5 (d) 2 c What is the closest to 120/41 in -7, -3/4, 0.06, -0.8, 1/4? 1/4 Which is the nearest to -11? (a) 194 (b) 0.4 (c) -4/21 (d) 1/3 c Which is the closest to -1/3? (a) -8 (b) 3 (c) -5 (d) -1046549 (e) 5 b Which is the nearest to 17/6? (a) 12.421 (b) 0.1 (c) -3/4 b What is the nearest to 1/3 in 1, -9.5, 0.065, -4, -5/4? 0.065 Which is the closest to 1/6? (a) 38 (b) 1905 (c) 0.4 c Which is the nearest to -0.2? (a) 3 (b) 0.01 (c) -330 (d) 2/5 (e) -72 b Which is the nearest to 0? (a) -355 (b) 2 (c) -2/11 (d) -3 (e) 0.05 e Which is the closest to 23? (a) 0 (b) -0.2 (c) 5 (d) -1/10 (e) -349/4 c What is the closest to 0.06 in 355, -74, -3/32, 0.1? 0.1 What is the nearest to 138 in -2/9, 272, 2/5, 3, 0.96, 0.1? 272 Which is the nearest to 1.27? (a) -2/45 (b) 19 (c) -2/15 a Which is the nearest to -4/3? (a) 374.16 (b) 0.5 (c) -5 (d) -1/8 d What is the nearest to 0.1681 in -1, -137.2, 1? 1 What is the nearest to -2/3 in -1/2, -3868/3, 1.07? -1/2 What is the closest to 55.7 in 5, 483, -5? 5 What is the nearest to 0 in -5, -12, -2/7, 2291, -0.3? -2/7 What is the closest to -4/7 in 0.3, 0.07, -482, 2.8, 0.1? 0.07 Which is the closest to -52? (a) -6 (b) -2 (c) 0 (d) 1 (e) 0.2 a Which is the closest to 0? (a) -0.4 (b) -4 (c) -2 (d) 16/17 (e) -244/5 (f) 1/5 f Which is the closest to -1/114? (a) -2/13 (b) -0.2 (c) -0.3 (d) 29632 a What is the closest to 394 in -1/2, -3, -5, -2/275? -2/275 Which is the nearest to -3/4? (a) 0 (b) -7913 (c) -1/5 (d) -1/2 (e) -0.1 d Which is the nearest to 0? (a) -1/3 (b) -377 (c) 1/2 (d) 1/14 d Which is the nearest to 1? (a) 0.08 (b) -2472 (c) 3 a Which is the closest to -2/11? (a) 3 (b) -0.05 (c) -3/17 (d) -1/3 (e) 1/7 c Which is the closest to 0.1? (a) 5.42 (b) 1.6 (c) 0.4 (d) 1/299 d What is the nearest to 6 in -1, 1588, 0.1772? 0.1772 Which is the closest to -21? (a) -4 (b) -734 (c) 0.1 (d) 6 (e) 4 a What is the closest to -5 in 3/132488, -8, 2? -8 Which is the nearest to 1/21? (a) -16973 (b) 2/3 (c) 0 (d) 3/7 (e) -0.02 c What is the nearest to 2/247 in -2/5, 0.1, -1/5, 0.03, 6, -2/79? 0.03 What is the closest to -2.189 in -2/9, -2/11, 1/4, -1.3? -1.3 What is the closest to -0.073 in -3, 0.3, 5, -1, 1.1737? 0.3 What is the nearest to 0 in 9/8, 121994, -0.2? -0.2 What is the nearest to 3/5 in -0.2, -117.7603, -15? -0.2 Which is the closest to 0.04? (a) 1/3 (b) -179 (c) 6 (d) 4 (e) 7/5 (f) -0.5 a Which is the closest to 3/5? (a) -1620 (b) 350 (c) 1 c What is the closest to -1 in -3, -4, -7/6, -2/75095? -7/6 What is the closest to 2.3 in 1/121, -42, -4/3? 1/121 Which is the nearest to -3/5? (a) 0.4 (b) -26/7 (c) -3 (d) -52.1 (e) -4 a What is the nearest to -1739/3 in 4, 2, -6/5, -1/959? -6/5 Which is the closest to 0? (a) -5 (b) 45 (c) 0.2 (d) -32 (e) 15/14 c What is the closest to -1 in 1/21, -0.4, -0.5, 344, -0.17? -0.5 What is the closest to 0.2 in 5, 52306, -5, 13/3, 0.3? 0.3 Which is the nearest to 0? (a) 28 (b) -0.2 (c) -0.18 (d) -3/4 (e) 1 (f) 14 c Which is the closest to -1? (a) 161/20 (b) -1 (c) -5 (d) -528 b What is the closest to -0.1 in 1/3, 3911, 184, -14? 1/3 What is the nearest to -12 in -0.3, 3/7, -4, 0.075478? -4 Which is the closest to 2.9? (a) 2/5 (b) -13 (c) 102 (d) -5 (e) 36/13 e What is the closest to -35/37 in 5, -0.4, 1.31? -0.4 What is the closest to -155 in 1/3, -18, -0.07, 57? -18 Which is the nearest to 1? (a) -39 (b) -56 (c) 1 (d) 8/7 (e) 1/2 c What is the nearest to -3 in 4/93, -3, -29924, -1? -3 What is the nearest to 0.2 in 433, -16, 27/5, -3, 1/9, -7? 1/9 What is the nearest to 104 in 0.4, 0.36, 2/35? 0.4 What is the nearest to 10/11 in 0.2, -38, -5, 0.1, 11, -0.4545? 0.2 Which is the closest to 0? (a) 0.2 (b) -742983 (c) 0 (d) -4 (e) 6/7 c What is the nearest to 51 in -0.2, -0.3, -2, -1/8, -2/3? -1/8 What is the nearest to 0 in -4, -5, -4014362, -1? -1 What is the nearest to -1652 in -1/3, -0.77, 0? -0.77 Which is the closest to 1/2? (a) 1/3735
{ "pile_set_name": "DM Mathematics" }
ative of -o**2 + 4439*o - 912. -2*o + 4439 Find the third derivative of 2*g*k**3*u**2 - 12*g*k**3 - g*k**2*u**2 - 2*g*k**2*u + k**5*u - 11*u**2 - 2*u wrt k. 12*g*u**2 - 72*g + 60*k**2*u Find the second derivative of 8*k**3*l**4 - 3*k**3 - 8*k**2*l - 5*l**4 wrt l. 96*k**3*l**2 - 60*l**2 Find the second derivative of 212*t**2 + 54*t - 2 wrt t. 424 Find the first derivative of 951*i + 1254. 951 What is the second derivative of 19991*d**5 + 18530*d wrt d? 399820*d**3 Find the third derivative of -465*k**3 - 108*k**2. -2790 What is the second derivative of -c*y**5 - 61*c*y**4 - 597*c*y - y**2 wrt y? -20*c*y**3 - 732*c*y**2 - 2 What is the third derivative of 2*a**5*g + 589*a**4*g - 2*a**4 + 5*a**2 + 16*a*g - 4*a wrt a? 120*a**2*g + 14136*a*g - 48*a What is the second derivative of 61*r*v**3 - 885*r*v - 2*r - 201*v**2 + 2 wrt v? 366*r*v - 402 What is the third derivative of 95*i**4 + 1669*i**2 wrt i? 2280*i Differentiate -p**4 + 82*p**2 + 166. -4*p**3 + 164*p Find the second derivative of -47*s**4*u**2 - 9*s**2*u**3 + 410*s*u**3 + 6*u**3 wrt s. -564*s**2*u**2 - 18*u**3 What is the second derivative of 2531*b**3 + 33807*b wrt b? 15186*b What is the first derivative of 2*l**2 + 6*l + 603 wrt l? 4*l + 6 What is the second derivative of -4*d**3 + 98*d**2 - 3*d + 84 wrt d? -24*d + 196 Differentiate 4*u**3 + 309*u*v**2 + 2*u*v + 23913*v**2 with respect to u. 12*u**2 + 309*v**2 + 2*v What is the first derivative of -3*a**2*w + a**2 + 2*a*f*m*w - 9*a*m*w + 712*f*m*w - f*w + 2*m*w wrt a? -6*a*w + 2*a + 2*f*m*w - 9*m*w Find the third derivative of -1062*h**5 - 2*h**3 - h**2 - 8*h - 560 wrt h. -63720*h**2 - 12 What is the third derivative of -187*f**3 - 18*f**2 - 8*f wrt f? -1122 Find the third derivative of 2241*k**3*r + 2*k**2 - 2*k - 8*r - 4 wrt k. 13446*r Find the first derivative of 13*a*y**2 + 21*a + 537*y**2 - 10*y wrt a. 13*y**2 + 21 What is the third derivative of 11640*p**4 + 31*p**2 - 5*p - 3? 279360*p What is the third derivative of 38*z**6 + z**4 + 23*z**2 + 2*z? 4560*z**3 + 24*z What is the second derivative of 4*v**4 - 541*v**2 - 130*v + 21 wrt v? 48*v**2 - 1082 What is the third derivative of 6*h**2*p**3*v**2 - 7*h**2*p**3*v - 190*h**2*p*v**2 - h*p**2*v**2 wrt p? 36*h**2*v**2 - 42*h**2*v What is the derivative of -41*l**3 + 14*l**2 + 16983 wrt l? -123*l**2 + 28*l What is the derivative of 780*b + 407 wrt b? 780 Differentiate i**4 - 442*i - 413 wrt i. 4*i**3 - 442 What is the first derivative of -1130*r + 1699? -1130 Find the second derivative of -30224*w**2 + w + 5776. -60448 What is the derivative of -21*c**2 + 25*c + 6674 wrt c? -42*c + 25 What is the second derivative of g**2*i*y + 2*g**2*i + 2*g**2 - 2*g*i*y - g*y - i + y wrt g? 2*i*y + 4*i + 4 What is the third derivative of b**4*k - 451*b**4 - b**3*k + b**3 + b**2*k + 2*b*k - 148 wrt b? 24*b*k - 10824*b - 6*k + 6 Find the third derivative of -264*g**3 + g**2 + 76. -1584 What is the second derivative of 3*h*o**5 - 1309*h*o**2 - 20*h*o - 139 wrt o? 60*h*o**3 - 2618*h Differentiate 57*g**3*y**2 + 157*g**3 - 2*g**2 + 16*g - 162*y**3 with respect to y. 114*g**3*y - 486*y**2 Find the second derivative of -144*w**4 - 524*w wrt w. -1728*w**2 Find the first derivative of 10452*m + 7203. 10452 Find the first derivative of 74*o**2*z + o**2 - 2*o*z - 59*z + 2 wrt o. 148*o*z + 2*o - 2*z What is the second derivative of f**3*j**2 - 51*f**3*j*t + 2*f**3*j - 53*f*j**2 + 3*j**2*t - 21*j*t wrt j? 2*f**3 - 106*f + 6*t Differentiate 2*c**2*i*j**2*o - 27*c**2*j**2 - 3*c*i*j*o + 3*c*i*j with respect to o. 2*c**2*i*j**2 - 3*c*i*j What is the third derivative of -4*n*z**3 + 44*n*z**2 - 34*n*z + 17*z**6 - 10*z**5 - 2*z wrt z? -24*n + 2040*z**3 - 600*z**2 What is the second derivative of -3*g*m**3*p**2 - 13*g*m**3*p - 2*g*m**3 + 22*g*p**4 - 4*m*p wrt p? -6*g*m**3 + 264*g*p**2 What is the third derivative of 3*i*y**3*z + 213*i*y**3 - 2*i*y**2*z + 2*i*y**2 + i - 2*y**3*z - 88*y**2*z wrt y? 18*i*z + 1278*i - 12*z What is the derivative of 17*i**3 + i - 227? 51*i**2 + 1 What is the derivative of 43*c**2*k**2*n**2 - 4*c**2 + c*k**2 + 15*k**2 - 4*n**4 wrt n? 86*c**2*k**2*n - 16*n**3 What is the third derivative of 21*a**4*g - a**4 + 55*a**3*g + 215*a**2*g + 9*g wrt a? 504*a*g - 24*a + 330*g What is the derivative of -30*a**3 + 5*a**2 + 26756 wrt a? -90*a**2 + 10*a Find the first derivative of -1453*a**3 + 823. -4359*a**2 Find the second derivative of -7340*a**5 + 1848*a. -146800*a**3 What is the second derivative of 7451*r**2 - 166*r - 23? 14902 Differentiate 4*h**2*j**2*z + 3*h**2 + 12*h*j - 12*j**2*z + 2*j*z - j + 3*z with respect to h. 8*h*j**2*z + 6*h + 12*j What is the second derivative of -244*g**2*v**2 - 48*g + v**2 + v wrt g? -488*v**2 What is the derivative of 29583*q**4*s**3 - 3*s**3 + 53 wrt q? 118332*q**3*s**3 Find the first derivative of 12*d**3 + d**2 - 169 wrt d. 36*d**2 + 2*d Differentiate 3*x**3 - 296*x**2*z**2 - 48*z**2 - 5 with respect to x. 9*x**2 - 592*x*z**2 Differentiate -1980*c**2 + 4546 wrt c. -3960*c Find the third derivative of -2*b**4 + 13*b**2 + 2*b. -48*b What is the second derivative of 18199*x**4 - 28792*x? 218388*x**2 What is the first derivative of -2*h**2*i - 9*h**2 - h*i - i - 114 wrt h? -4*h*i - 18*h - i Differentiate 142*n*p**2*r**3 - 3*n*r**3 + n + 3*p**2*r**3 + 56*r**3 with respect to n. 142*p**2*r**3 - 3*r**3 + 1 What is the second derivative of -135*p*u**2*y**2 - 2*p*u**2*y - 6*p*y + 13*u*y**2 wrt u? -270*p*y**2 - 4*p*y What is the third derivative of 261*l**3 + 723*l**2 wrt l? 1566 What is the second derivative of -42*b**4*i - 56*b**3*i - 289*b*i - b - i - 3 wrt b? -504*b**2*i - 336*b*i Find the second derivative of 32*c**3*m**2 + 21*c**3*m + 6*c - 57*m**2 wrt c. 192*c*m**2 + 126*c*m Find the second derivative of 71*j**2*p**2 + j**2*p - 559*j**2 + 3*j*p**2 wrt p. 142*j**2 + 6*j Find the third derivative of 641*a**6 + 45*a**2 - 3 wrt a. 76920*a**3 Find the second derivative of -29*c*r**3 + 2*c*r**2 + 12*c*r + 19*r**4 + 111*r wrt r. -174*c*r + 4*c + 228*r**2 What is the second derivative of 2765*q**2*y**3*z + 2*q**2*y**2*z - 2*q*y**3*z - 4*q*z + 6*q + 4*y**3 wrt q? 5530*y**3*z + 4*y**2*z What is the third derivative of -a**3*i**3*l**2 - 18*a**3*i**3*l - 41*a**2*l**2 - 7*a*i**3 - 2*a*l**2 wrt a? -6*i**3*l**2 - 108*i**3*l What is the third derivative of -268*a**3 - 50*a**2 wrt a? -1608 What is the third derivative of 2*j*z**4 - 2*j*z - 733*z**4 - 2*z**2 + 171*z wrt z? 48*j*z - 17592*z What is the derivative of -787*b*d**2*i - 2*b*i**3 - 13*d**2*i**2 + 6*d*i**2 + 2*i**3 wrt b? -787*d**2*i - 2*i**3 Differentiate 2*v**2 - 9*v + 448 wrt v. 4*v - 9 What is the second derivative of -127*l**2*t - 2*l*t - 2*l + 6 wrt l? -254*t Find the second derivative of -2*g**3*t**2 + 11*g**2*t**2 + 60*g*t**2 wrt g. -12*g*t**2 + 22*t**2 What is the third derivative of 6*o**3 - 108*o**2 - o? 36 What is the third derivative of 2954*n**3 + 15945*n**2? 17724 What is the third derivative of 26*u**6 - 6*u**2 - 20 wrt u? 3120*u**3 Find the second derivative of -2*t**2*y**2 - 22*t**2 - 3*t*y**2 - t*y - 69*y**2 wrt t. -4*y**2 - 44 Find the first derivative of -i**3 - 140*i**2 + 10*i + 29925 wrt i. -3*i**2 - 280*i + 10 What is the second derivative of -34*x**5 - 2*x**3 - 2*x + 216 wrt x? -680*x**3 - 12*x Differentiate 5*o**2*u*w**2 - 76*o**2*w - 2*o**2 - 2*o - 15*u + 2*w**3 - 197 with respect to w. 10*o**2*u*w - 76*o**2 + 6*w**2 Find the second derivative of -12*p**2*s**3 + 3*p**2 + 2*s**2 - s - 5 wrt s. -72*p**2*s + 4 What is the third derivative of 20*z**4 - z**2 + 55*z wrt z? 480*z What is the third derivative of -5*h*s**5 - h*s**2 - h*s - 100*h - 63*s**5 wrt s? -300*h*s**2 - 3780*s**2 Find the second derivative of 1378*b**2 + 2*b + 376. 2756 Find the third derivative of -5*d**2*g**3*m - 2*d**2*g**2*m**2 - 16*d*g**2*m**2 + 13*g**3*m**2 + 3*g*m**2 wrt g. -30*d**2*m + 78*m**2 What is the third derivative of -38*l**2*v**3 + 3*l**2*v**2 + 3*l*v**4 + 23*v**2 wrt v? -228*l**2 + 72*l*v What is the derivative of 2*h**2*k**3 - 233*h**2*p - 6*h*k**3*p + h*k**3 + 75*k**2 wrt p? -233*h**2 - 6*h*k**3 Find the second derivative of -2203*n**2 - 2097*n wrt n. -4406 Differentiate -2816*g + 745 with respect to g. -2816 Find the third derivative of -187*l*o**2*z**3 + 32*l*o**2*z**2 - l*o*z**2 wrt z. -1122*l*o**2 What is the
{ "pile_set_name": "DM Mathematics" }
v(z(x)). -7*x**2 Let q(v) = -3*v. Let k(x) = -3*x**2 - 98*x. Determine q(k(w)). 9*w**2 + 294*w Let s(i) = i**2. Let m(b) be the first derivative of b**2/2 + 8*b - 3. Let g(d) = -3. Let p(h) = 8*g(h) + 3*m(h). Give s(p(j)). 9*j**2 Let f(d) = -d. Let t(b) be the first derivative of 25*b**2/2 - 9. What is t(f(p))? -25*p Let k(l) = -3*l**2 + 5*l - 5. Let g(x) be the first derivative of 4*x**3 - 21*x**2/2 + 21*x - 2. Let h(i) = 5*g(i) + 21*k(i). Let p(m) = -3*m. Give p(h(y)). 9*y**2 Suppose 0 = 2*q - 2*x - 3 - 9, -4*q = -x - 12. Let g(l) = 3*l. Let t(o) = 16*o. Let p(f) = q*t(f) - 11*g(f). Let a(i) = 2*i**2 + 0*i**2 - 4*i**2. Give a(p(u)). -2*u**2 Let j(x) be the first derivative of -2*x**2 + 12. Let u(r) = -r. Determine j(u(q)). 4*q Let b(g) be the first derivative of -g**6/36 - g**3 + 1. Let h(f) be the third derivative of b(f). Let m(d) = -2*d. Determine m(h(c)). 20*c**2 Let z(g) = g**2. Let q(d) be the first derivative of -5*d**2 + 34. Give q(z(s)). -10*s**2 Let a(d) = d - 3. Let j(u) = u - 4. Let f(m) = -4*a(m) + 3*j(m). Let w(z) be the third derivative of -z**4/24 - 2*z**2. Calculate f(w(h)). h Let o(t) be the second derivative of t**4/6 - 5*t. Let y(m) = -m. What is y(o(p))? -2*p**2 Let m(k) = 8*k. Let d(n) = -13*n**2 + 3*n. Give m(d(y)). -104*y**2 + 24*y Let a(p) = -3*p + p + p. Let q(w) be the first derivative of -11*w**2/2 + 47. Calculate a(q(s)). 11*s Let m(z) = -2*z. Let c(u) = 3*u. Let q(h) = 3*c(h) + 4*m(h). Let a(t) = 23*t. Calculate a(q(o)). 23*o Let s(b) = -b. Let m(u) = -u**2 + 4. Let j(h) = -2*h**2 + 9. Let l(t) = 2*t + 2. Let q be l(-3). Let a(r) = q*j(r) + 9*m(r). What is a(s(k))? -k**2 Let y(r) = -57*r**2. Let d(c) = 114*c. What is y(d(j))? -740772*j**2 Let m(x) = -109*x + 115*x - 3 + 3. Let c(q) = -6*q**2. Give c(m(l)). -216*l**2 Let v(o) = 2*o. Let d(t) = -t**2 - t. Let k(s) = s**2 - 4*s - 4. Let n be k(5). Let m(j) = j**2 + 2*j. Let u(i) = n*m(i) + 2*d(i). Calculate v(u(x)). -2*x**2 Let l(u) = u**2. Let k(a) = a**2 + a. Let c(t) = 3*t**2 - 2*t. Let s(j) = c(j) + 2*k(j). What is l(s(d))? 25*d**4 Let d(z) be the first derivative of -z**4/12 - 4*z - 3. Let n(s) be the first derivative of d(s). Let l(p) = -5*p. Calculate l(n(c)). 5*c**2 Let q(l) = 2*l**2. Let s(p) = -30*p. What is q(s(w))? 1800*w**2 Let p(l) = l**2. Let c(a) = 2*a**2 + a. Calculate p(c(b)). 4*b**4 + 4*b**3 + b**2 Let p(y) = 8*y**2. Let a(r) = -5*r**2 + 6*r. Let n(b) = -4*b**2 + 5*b. Let q(i) = -5*a(i) + 6*n(i). Calculate p(q(s)). 8*s**4 Let c(b) = 40*b**2 - 2. Let p(i) = i. Determine p(c(a)). 40*a**2 - 2 Let b(l) be the first derivative of l**3/3 - 3*l**2 - 5. Let f(q) = -q. Determine f(b(u)). -u**2 + 6*u Let n(s) = -6*s**2. Let p(k) = 9*k - 8. What is p(n(h))? -54*h**2 - 8 Let c(l) = -97*l. Let i(s) = 3*s. Calculate i(c(q)). -291*q Let d(z) = 16*z - 1. Let g(k) = -10*k**2. Determine d(g(n)). -160*n**2 - 1 Let x(m) = -2*m + 5*m - 4*m - 2*m. Let t(v) = -7*v. Determine t(x(w)). 21*w Let z(u) = -12 + 1 + u + 11. Let f(o) = o**2 - 1. What is f(z(c))? c**2 - 1 Let z(a) = -20*a. Let o(x) = -43*x. What is o(z(q))? 860*q Let b(u) = -u**2. Let o(n) be the second derivative of -5*n**4/12 + 10*n. Determine o(b(g)). -5*g**4 Let i(g) be the second derivative of g**4/6 - 2*g. Let k = -2 - -4. Let n(y) = 2*y + k*y - 2*y. Determine i(n(z)). 8*z**2 Let q(h) = 5*h - 1. Let p(t) = t. Determine p(q(i)). 5*i - 1 Let g(o) = 9*o**2. Let a(h) be the third derivative of h**4/24 - 3*h**2. What is a(g(d))? 9*d**2 Let o(j) be the first derivative of 1 + 0*j**2 + 1/3*j**3 + 0*j. Let d(k) = 4*k. What is d(o(m))? 4*m**2 Let o(s) = 5*s - 1 + 1. Let i(v) = v. Calculate i(o(z)). 5*z Let f(a) = -2*a. Let q(v) = -5*v - 278. Calculate q(f(p)). 10*p - 278 Let k be -3*((-8)/3)/2. Let d(h) = -2*h + 2*h + 7*h - k*h. Let g(p) = -2*p**2. Give d(g(t)). -6*t**2 Let l = -10 + 12. Let t(d) = -2*d + d - 4*d**l + d. Let i(a) = -2*a**2. What is t(i(q))? -16*q**4 Let x(l) = -l - 3*l + 2*l. Let s(w) be the third derivative of -w**4/2 + w**2 + 9*w. What is s(x(q))? 24*q Suppose 0*t + 36 = 3*t. Let m(x) = 12*x - t*x + 5*x**2. Let v(w) be the third derivative of w**4/24 + w**2. Calculate v(m(s)). 5*s**2 Let q(v) = -3*v. Let a be 6*5/(30/8). Let i = a - 7. Let n(w) = -i + w**2 + 0 + 1. Calculate n(q(r)). 9*r**2 Let l(m) = -m + 1. Let x be l(-3). Let j(y) = -x*y - y**2 + 4*y. Let u(z) = z**2 + z**2 - 4*z**2. Calculate j(u(c)). -4*c**4 Let i(j) = 3*j. Let y(x) be the first derivative of -x**2/2 - 6. Give i(y(t)). -3*t Let q(x) = x**2 - 7*x**2 - 2*x**2. Let m(d) = -d**2 + 3*d + 3. Let i(p) = p**2 - p - 1. Let j(s) = -3*i(s) - m(s). Give j(q(f)). -128*f**4 Let d(t) = -3*t**2. Let k(o) be the first derivative of o**4/24 - o**2/2 - 3. Let v(p) be the second derivative of k(p). What is v(d(f))? -3*f**2 Let w(m) = 2*m**2. Let s(g) = -g**2 + 4*g - 2. Let v be s(3). Let q(j) = v - 1 - 2*j**2 + 4*j**2. Give q(w(b)). 8*b**4 Let x(m) = 6*m. Let z(k) be the third derivative of 0*k**3 - 2*k**2 + 0*k + 1/30*k**5 + 0 + 0*k**4. Calculate z(x(f)). 72*f**2 Let k(m) = -27*m**2. Let f(l) = -2*l**2 + 2. What is f(k(j))? -1458*j**4 + 2 Let o(u) be the second derivative of u**4/4 - 2*u. Let x(f) = 2*f. What is x(o(m))? 6*m**2 Let p(j) = -10*j**2. Let a(y) = -y**2 + y - 1. Let f(w) = -5*w**2 + 4*w - 4. Let l(o) = -4*a(o) + f(o). Calculate l(p(h)). -100*h**4 Suppose -q = 4*q - 5. Let o = q + 3. Let w(g) = -o + 4 + 3*g**2. Let l(m) = -m**2. What is l(w(f))? -9*f**4 Let i(r) = -26*r**2 - r + 3*r - 2*r. Let t(u) = -u**2. Calculate t(i(k)). -676*k**4 Let g(t) = -23*t - 1. Let s(v) = 3*v**2 + v**2 - 5*v**2 + 0*v**2. Give g(s(z)). 23*z**2 - 1 Let p(k) = -k**2 - k**2 + 10*k**2. Let i(z) = -z**2. Determine i(p(g)). -64*g**4 Let h(d) = -2*d**2 - 3*d. Let l(v) = v**2 + v. Let u(z) = h(z) + 3*l(z). Let t(m) = 7*m. Determine t(u(c)). 7*c**2 Let p(j) = -j**2. Let n(y) = -6*y**2. Let c(a) = 2*n(a) - 10*p(a). Let l(t) = 35*t**2. Calculate l(c(w)). 140*w**4 Let p(b) = -5*b - 6*b + 27*b - 12*b. Let t(q) = -4*q. Determine p(t(j)). -16*j Suppose -4*m + 2*k + 3*k = -8, 3*k + 4 = 2*m. Let p(i) = -i**m - 20 + 20. Let s(c) = -4*c**2. Give s(p(g)). -4*g**4 Let s(u) = u. Let i(m) = -10*m. Let v(o) = 2*i(o) + 22*s(o). Let j(d) be the third derivative of d**5/60 - 39*d**2. Calculate j(v(c)). 4*c**2 Let z(a) = a + 7. Let b be z(-6). Let h(f) = 1 - b - 4*f**2. Let r(x) be the first derivative of x**2 - 5. What is r(h(d))? -8*d**2 Let v(r) = r. Let o(c) = -3312*c. Give o(v(l)). -3312*l Let q(f) = -3*f - 7. Let p(y) = -y - 3. Let z(m) = 7*p(m) - 3*q(m). Let h(r) = r + 4. Determine z(h(b)). 2*b + 8 Let z(f) = 52*f**2. Let o(b) = -11*b**2. Calculate o(z(l)). -29744*l**4 Let h(f) = 2*f**2. Let k(b) = -b**2. Let d(g) = h(g) + 3*k(g). Let r(l) = -4 - l + 0 + 4. Determine d(r(y)). -y**2 Let t(l) = 5*l. Let k(x) = x + 2. Let s(j) = 1. Let o(b) = 3*k(b) - 6*s(b). Calculate o(t(n)). 15*n Let f(x) = -4*x. Let d(o) = -2403*o. Calculate f(d(l)). 9612*l Let p(z) = -z**2. Suppose -4*x + 13 = 5. Suppose x*d + 0 = 2. Let s(v) = 1 - d + v**2. What is p(s(m))? -m**4 Let a(z) = 49*z - 2. Let x(q) = 2*q + 3*q - 2*q - q. What is a(x(y))? 98*y - 2 Let w(v) = 2*v + 2. Let p(y) = 3*y + 5. Let q be (-3 + 0)/(9/30). Let j(c) = q*w(c) + 4*p(c). Let r(f) = f**2. Calculate j(r(m)). -8*m**2 Let u(l) = 16*l**2. Let r(p) = -8*p - 10. Let t(a) = 9*a + 12. Let x(f) = 6*r(f) + 5*t(f). Give u(x(j)). 144*j**2 Let j(b) = 2*b**2. Suppose -u + 8 - 5 = 0. Let g(s) be the third derivative of 0*s**u - 1/24*s**4 + 0 - s**2 + 0*s. Give g(j(y)). -2*y**2 Let n(s) = 6*s. Let k = -9 - -6. Let m = k + 5. Let i(o) = 3*o**m - 5*o**2 + 0*o**2. What is n(i(t))? -12*t**2 Let b(y) = 918*y + 136. Let d(m) = 34*m + 5. Let i(w) = -5*b(w) + 136*d(w). Let o(f) = -f**2. What is o(i(v))? -1156*v**2 Let u(y) = 3*y + 2*y - 4*y. Let a(h) = 16*h. Give a(u(r)). 16*r Let q(o) = -138*o**2 - o. Let d(z) = 7*z**2. Determine q(d(m)). -6762*m**4 - 7*m**2 Let v(p) = -6*p**2 - 1. Let h(o) = 16*o**2 - 2*o. Give h(v(u)). 576*u**4 + 204*u**2 + 18 Let f(m) = -2*m**2. Let l(d) = 3*d + 26 - 26. Determine f(l(y)). -18*y**2 Let h(a) = -24*a**2. Let n(v) be the third derivative of v**4/24 + 8*v**2. What is n(h(i))? -24*i**2 Let y(p) = -p - 3*p + 3*p. Let s(a) be the first derivative of -2*a**3/3 + 3. What is s(y(u))? -2*u**2 Let a(z) = -9*z - 11. Let
{ "pile_set_name": "DM Mathematics" }
= -o - u. Suppose -3*b = -0*b. Solve -m + o*m - 5 = b for m. -5 Suppose 0 = -2*i + 10*i - 16. Solve -i*x - 13 = -3 for x. -5 Suppose 0*h - 2 = 3*h + 5*c, 0 = 2*h - c - 16. Suppose s - h = -0*s. Let d be s/(-2 - 46/(-20)). Solve 8*p - d = 3*p for p. 4 Suppose -m = 2*f + 1, -2*m - 3 = -3*f - 1. Solve f = -4*y - 2 - 2 for y. -1 Suppose 0 = -5*t - 2 + 57. Let x = -9 + t. Suppose 4 = o + x. Solve o*h + h = 15 for h. 5 Let n be (2 - 1)/((-4)/(-36)). Suppose 3*a = -q + 17, -2*q - n = -5*a + 1. Suppose 3*o - a*t = -8, 0*t + 22 = 3*o + 2*t. Solve -o*i + 27 = 7 for i. 5 Let h(l) = -l**3 + 6*l + 2. Let o(z) = -5*z + 1. Let p be o(1). Let a be h(p). Suppose q = -q + a. Solve -4*s - q = -9 for s. -3 Suppose 77 = 5*i + 32. Solve -i = -10*f + 7*f for f. 3 Suppose 20*p = 8*p + 180. Solve 16*u - p*u = 4 for u. 4 Suppose 0 = 5*f + 3*u + 95, 0 = 7*f - 3*f - 4*u + 44. Let x = f + 17. Solve -2*h = -h + x for h. -1 Let f = 29 + 2. Suppose 5 = -p - 3. Let r = -8 - p. Solve -4*g + 11 - f = r for g. -5 Suppose -3*h + 20 = 2*h - 5*z, 4*z + 16 = h. Solve 0 = 2*f - h + 2 for f. -1 Let i(g) = 2*g**3 - 3*g**2 + g - 1. Let d be i(2). Suppose 5*a - 16 = 5*s - 1, -d*s + 1 = -a. Solve 5*p - s = 14 for p. 3 Let y be 1*5 - 6/6. Suppose 5*l = 24 - y. Solve 2*f - l = -0 for f. 2 Suppose 3*v + 15 = -3*k, 2*v - 25 = 3*k - 10. Let n = 15 - k. Solve 6*c + n = c for c. -4 Let b be (56/(-6))/((-2)/(-6)). Let f be b/(-6) + (-4)/6. Let y = 16 - f. Solve 0 = -o - 2*o - y for o. -4 Let c = -8 + 11. Suppose 5*s + 4*k = 11, -2*k = c*s - 3 - 4. Let y be (-7)/(1/(s - 4)). Solve -2*v - 5 = -y*v for v. 1 Let z = 26 - 24. Suppose -3*d + 7 = z*g - 0*g, 5*g - 14 = -4*d. Solve 0*m + g*m = 0 for m. 0 Let i(a) = -a - 3. Let r be i(-5). Let l(f) = f**2 - 8*f + 9. Let k be l(7). Let g be (-2)/6 - 6/(-18). Solve g = k*p + r*p - 4 for p. 1 Let i(m) = -m + 6. Let w be i(3). Solve 4*s + w - 15 = 0 for s. 3 Let m(y) = -y**3 + 6*y**2 + 2*y - 4. Let f be m(6). Let i(q) = 3*q**3 + q**2. Let k be i(1). Let z = -1089 + 1097. Solve -f*u + k*u = z for u. -2 Let h(s) = s**3 - 18*s**2 + 18*s + 4. Let w be h(17). Let c = 23 - w. Solve -c*g = -7*g for g. 0 Suppose 6*y + 32 = 8*y. Solve 0*m - y = -4*m for m. 4 Let x = 102 + -99. Solve 2*a + 2 = x*a for a. 2 Let b(m) = m**3 - 7*m**2 + 7*m - 3. Let p be b(6). Solve 4 = -p*q + 16 for q. 4 Let z be 5 + (-1)/3*-3. Let i be z*-1*(-1)/2. Solve 0*x + 3*x + i = 0 for x. -1 Let z = 34 - 30. Solve 0 = -d - 0 - z for d. -4 Let p be (42/9 + (-4 - 0))*3. Solve p*d = d for d. 0 Let r = -2 - -2. Let q = r + 49. Suppose q = 5*i + b, b + 11 = i - 0*i. Solve -3*o = -o - i for o. 5 Let s(q) = -q + 18. Let a be s(15). Suppose 3*p = -3*b - 15, -p + b = -a*b - 20. Solve p = d + 2*d for d. 0 Let v(f) = 4*f**3 + f**2 - f + 1. Let z be v(1). Suppose -4*j + 5*h = -3*j - 3, -4*h + 12 = j. Let o = j - z. Solve -8 = o*x - 2 for x. -2 Let q(s) = -s**3 + 7*s**2 + 10*s - 11. Let d be q(8). Solve -h = -d*h for h. 0 Let c(l) = -2*l + 9. Let y be c(4). Solve 7 + y = 2*k for k. 4 Suppose 3*f - 5*k - 16 - 4 = 0, -19 = -4*f - k. Solve f*d = 2 - 17 for d. -3 Let v be 3 + ((-105)/33 - (-10)/55). Let q = -3 + 8. Solve q + v = k for k. 5 Let g(n) = n + 30. Let v be g(-10). Solve -3*j = -8*j - v for j. -4 Let z = -36 + 45. Solve 5*m = -6 - z for m. -3 Let y(b) = -b**2 + 10*b - 8. Let q be y(6). Solve -2*h + q - 6 = 0 for h. 5 Suppose v = 2*h + 6, 4*v + 19 = -5*h - 22. Let l be ((-24)/15)/4*h. Let m be 78/8 + 2/8. Solve -l*t = -2 + m for t. -4 Let q(p) = p**3 - 10*p**2 + 11*p - 9. Let o be q(9). Let r = o - 5. Suppose 0*w + r*w - 80 = -4*y, w - y = 20. Solve 4*l + l - w = 0 for l. 4 Suppose -12 + 2 = -5*s. Suppose 3*p - 4*p + s = 0. Solve -2*o - 4 = -p for o. -1 Let f(i) = -i**3 + i - 1. Let j be f(-2). Suppose 0 = m + 2*t + 14, -4*t - 40 = 5*m - 0*m. Let w be 4 - 2*(-2)/m. Solve -w*a - 1 = j for a. -2 Suppose -c + 4 = 2. Suppose 4*x - 12 = 4*d, 0*d = -c*x + 4*d + 12. Solve x*n = 3*n - 6 for n. 2 Let b(f) = -f - 4. Let y be b(-10). Solve 3*u = y*u for u. 0 Suppose -5*z - 5 = 0, -2*q - z = 15 + 16. Let n = -6 - q. Solve 4*v + n = -3 for v. -3 Let m be (1 - 0)*3*1. Let j(r) = r**2 - 3*r - 7. Let i be j(5). Solve 0 = -m*d + i - 0 for d. 1 Let r = -22 + 27. Solve -3*v + r = -8*v for v. -1 Let w(h) = h**3 + 6*h**2 - 5*h + 8. Let x be w(-7). Let q be (-2)/x - 60/18. Let d = 3 + q. Solve r + d*r = -2 for r. -2 Let h(l) = -l**2 - 9*l - 3. Let w be h(-8). Let r(u) = 4*u**2 + u**2 - u**3 - 3 + u**2 - 4*u. Let p be r(w). Solve -1 = b + p for b. -3 Let s be (-3)/((-9)/(-6)) + 2. Let l = 0 - s. Suppose 6 + l = h. Solve -2*c = -h*c for c. 0 Suppose -3*f + 12 = -0*f, 0 = 3*n - 5*f + 17. Suppose 2*b - 5 = 7*b - 5*o, n = o. Solve -x - 2*x + 6 = b for x. 2 Suppose 3*r + 4*o - 6 = 0, -5*r + 0*o = o - 10. Solve 0 = 4*n + 2 + r for n. -1 Let a be (5 - 8)*1/3. Let w be (-7)/(((-2)/(-2))/a). Suppose 4 = d - y, -5*d - 3*y = -w*y - 16. Solve -i + 1 = -d for i. 1 Suppose 8*w - 3*w = 25. Suppose 0 = 4*n - 5*n. Suppose -3*m + 2*a = -n*a - 20, 0 = -2*a - 2. Solve -m = -i - w for i. 1 Suppose -3*z = -p + 4*p, 2*p - z - 15 = 0. Solve p - 3 = -2*y for y. -1 Suppose 2*l + 5 = 1. Let o be (-2)/((-8)/l - 2). Let q = 1 + o. Solve -4*m = -q*m for m. 0 Let r(c) = -12*c - 6. Let x be r(-1). Solve 2 + x = 2*h for h. 4 Let u(d) = -d**3 + 5*d**2 - 4*d + 5. Let f be u(4). Let o = 3 + -3. Let b(n) = n + 4. Let v be b(o). Solve 0 = v*p + 3 + f for p. -2 Let r be 2 + -4 - (-7 - 3). Solve r = -4*d - 0 for d. -2 Let l be (-2 - 1) + 8 + -1. Suppose 3*z = l*z. Solve z = -o + 4 for o. 4 Suppose 2*s = -3*s. Let l = 21 + -5. Suppose -n = 4*a - 2*n - l, a = 4*n + 19. Solve s = -m + a + 2 for m. 5 Suppose -5*k - 13 - 22 = 0. Let s = 7 + k. Solve 5*v = -s*v for v. 0 Let o(g) = g**2 - g - 4. Let f be o(-2). Solve -r = f + 1 for r. -3 Let b(s) = -s**3 - 6*s**2 - 6*s - 3. Let h be b(-5). Solve 1 = -a - h for a. -3 Let d(b) = b**3 + 3*b**2 - 3*b + 4. Let w be d(-4). Suppose w = -3*v - v + 36. Let f = -4 + v. Solve f*a + 9 = -1 for a. -2 Let f(u) = 5*u**2 - 14*u + 15. Let l(b) = -9*b**2 + 27*b - 29. Let c(i) = -11*f(i) - 6*l(i). Let j be c(-9). Solve 4*p + 4 + j = 0 for p. -1 Let a(g) = 5*g**3 + g**2 - 5*g + 3. Let v be a(1). Solve -6 = 2*t + v for t. -5 Let t = 6 + -4. Suppose -36 = -5*z + 2*j, -3*z + z + 18 = -2*j. Solve 0*q - z = t*q for q. -3 Suppose 6*q - 12 = -3*x + 3*q, 0 = 3*q - 6. Solve x*h = -2*h - 16 for h. -4 Suppose 2*j = -0*j - 24. Let w be (-2)/((32/j)/4). Solve -w*b + 1 + 2 = 0 for b. 1 Let x = -3 + 2. Let p = x - -3. Suppose -5*s + 30 = -5*k, 0 = p*s + 2*k + 4. Solve 0 = -j + 1 + s for j. 3 Let f = 5 - 2. Suppose w = s - 7, -3*s = w - 2 - f. Let d(i) = i - 1. Let m be d(s). Solve m + 3 = -j for j. -5 Suppose 15 = 5*n - 2*r - 3*r, 4*n = r + 12. Suppose w + 3 = -n*m - m, -2*w - 3 = 5*m. Suppose 3*x = -x. Solve 0 = f + w - x for f. -1 Let d = -96 - -97. Solve -s = -2*s + d for s. 1 Let y = 5 + -2. Let g(k) = 2*k**2 + 7*k + 3. Let d be g(-3). Solve d = y*c - 0 - 3 for c. 1 Let k(v) = v + 15. Let i be k(0). Suppose 0*w + 4*u = 5*w - 11, -i = -5*w + 5*u. Let c be -5*((-9)/5 - w). Solve c*j = -0*j for j. 0 Suppose -15 = 5*n - 4*g, -5*n - g = 2*g + 15. Let b be 6 + n + 2/(-2). Solve -7 + b = m for m. -5 Let n = 17 + -17. Solve n = 2*v + v + 6 for v. -2 Let x = 51 + -21. Suppose -x = -5*j + j - p, 5*j = p + 42. Solve j = -4*i - 12 for i. -5 Let y = 61 - 59. Solve 0 = y*x + x for x. 0 Suppose -6 = q - 3*q. Suppose -6*c + 60 = -2*c. Solve -q*a - c = 2*a for a. -3 Let m(r) = r**2 - r. Suppose -c - 1 = 5*t, 4*t + 10 = 4*c - 10. Let u be m(t). Let w(a) = a**3 - 10*a**2 + 25*a + 3. Let n be w(5). Solve -b = -n - u for b. 5 Suppose -4*t + 5*p = p - 24, 0 = -5*t - 3*p - 2. Suppose -4*l = -5*b - 12, 3*b + t*b + 9 = 3*l. Suppose r - 3*r = -40. Solve -5*s + b*s = -r for s. 4 Suppose -2*s = -5*m - 19, 0 = -0*s - 3*s - m + 3. Suppose -7*a + s*a + 3 = c, -2*a - 5*c + 15 = 0. Suppose 1 = -a*o + o. Solve -3 = i + o for i. -4 Let j(t) = t**2 + 2*t - 3. Let u be j(2). Solve 4*y - 13 = -u for y. 2 Suppose 2*w - 13 = -0*w - i, -4*w + 27 = 3*i. Suppose -3*l = -7*l + 12. Solve l*z = w*z for z. 0 Let c = 19 - 17. Let t be (-2)/((-6)/21) - 1. Let g be (-4 - -2)/((-4)/t). Solve -g + c = -h for h. 1 Let y(a) = 8*a + 67. Let s be y(-8). Solve -2*l - s = 7 for l. -5 Let q(c) = 4*c**3 + 12*
{ "pile_set_name": "DM Mathematics" }
/20*-2)/(11/j). Let n(u) = u**2 - 4*u + 5. Give n(t). 17 Let g be (-10)/4*(-66)/55. Suppose 3*l - 2*o - 25 = 26, g*o - 66 = -5*l. Let c(m) = 2*m + 7*m**2 + 0 - m**2 + 1 - l*m**2. Determine c(-1). -10 Let w(b) = -3*b + 5*b + 0 - 10*b**3 - 13 - 17*b**2 - 4*b**3. Let y(l) = 7*l**3 + 8*l**2 - l + 6. Let h(m) = 6*w(m) + 13*y(m). Give h(1). 8 Let t(i) = i**3 + i**2 + 2*i + 3. Let m be t(-2). Suppose 0 = -y - y + 5*q - 3, -4*y + 33 = 3*q. Let g(v) = -2*v + v**2 - 2 - y*v - 5 - 2*v**2. What is g(m)? 8 Let h(c) = 2*c. Let g be h(1). Suppose -g*p - 4*b - 14 = 0, 0 = -p - 4*p - 5*b - 20. Let v(l) be the second derivative of -l**3/3 + l**2/2 + 27*l. What is v(p)? 3 Let d(c) be the second derivative of -c**3/2 - 3*c**2/2 - 123*c. Let g = 6 - 8. Calculate d(g). 3 Let g = 957 + -955. Let x(q) = -3 + 1 + 0 + 2*q**2. Determine x(g). 6 Let k(i) = i**2 - 1. Let p(x) = 3*x**2 + 2*x - 4. Let d = -18 + 22. Let v(t) = d*k(t) - p(t). What is v(4)? 8 Suppose 3 + 1 = 4*j. Let t(d) = -4*d**3 + 4*d**2 + d - 1. Let r(g) = 8*g**3 - 10*g**2 - 3*g + 3. Let v(l) = -2*r(l) - 5*t(l). Give v(j). 4 Let r(i) = i - 11. Let c(p) = 4*p - 13. Let w(v) = 4*c(v) - 5*r(v). Determine w(7). 80 Let x(q) = q + 0 + 0. Let m(b) = b**3 - 9*b**2 + b - 12. Let n = -23 - -32. Let v be m(n). Calculate x(v). -3 Let y(a) = -a**3 + 8*a**2 + a + 2. Suppose v + 5*l = 12, l = -5*v + 39 - 3. What is y(v)? 58 Let r(b) = -b**2 - 4*b + 3. Let l be -3 + -2 - 0*2/12. Calculate r(l). -2 Let u(w) = 8*w**2 + 12*w + 42. Let j(l) = 3*l**2 + 4*l + 15. Let c(s) = -17*j(s) + 6*u(s). What is c(4)? -35 Let d(a) = -8*a + 4. Let r(b) = -7*b**3 - 2*b**2 - 2. Let y be r(0). Calculate d(y). 20 Suppose -23*v - 128 = 217. Let q(l) = -2*l - 25. What is q(v)? 5 Let f(a) = a**3 - 7*a**2 + 5*a + 5. Let c be f(6). Let h(y) be the second derivative of 7/20*y**5 + 1/2*y**2 + 1/6*y**3 + 4*y + 0 + 1/12*y**4. What is h(c)? -6 Let s(q) = -q**2 + 3*q + 28. Let w(h) = h**2 - 3*h - 29. Let c(x) = 6*s(x) + 5*w(x). Let g be c(7). Let z(p) = -2 - 4*p - 2 + 0. Determine z(g). 16 Suppose 0 = 3*x - 4*q, x + q = -4*q - 19. Let m(i) = 12*i - 3*i**2 - 2*i**2 + 3 + 8*i - i**3 - 22*i. Calculate m(x). -5 Let i(o) = 3*o**3 + o**2 - 2*o + 1. Suppose -5*s + 3*s = -2. Let q be i(s). Let t(n) = -11 + q*n**2 + 8 - n - 2*n**2. Give t(-3). 9 Let q(y) = -23*y**2 - 13 - 5 + 2*y**2 + 5*y**2 - 20 - 2*y - y**3. Determine q(-16). -6 Let a(l) = l**3 - 2*l**2 + 2. Suppose 4*x = 5 + 3. Let t = 4 - x. What is a(t)? 2 Let o = -161 + 161. Let g = 13 - 6. Let l(k) = k - 5 + 0 + 2 - g. Give l(o). -10 Let v(f) be the first derivative of -1/24*f**4 - 1/60*f**5 + 10/3*f**3 + 0*f**2 + 10 + 0*f. Let m(c) be the third derivative of v(c). What is m(-1)? 1 Let v(n) = 5*n**3 - n**3 + 3 - 3 + n - 2*n + 1. Calculate v(1). 4 Let x(m) = -m**2 + 4*m + 1. Let t be x(3). Suppose -57 = -3*a + 3*z, 5*a + 0*z - t*z - 93 = 0. Let l = a + -19. Let c(r) = 3*r**2. Give c(l). 12 Let u(n) = 2*n**2 - 4*n - n**3 + 11*n**2 + 8*n**2 - 8 - 14*n**2. Let v be (-68)/(-12) - (-1)/3. Let j be u(v). Let p(w) = -w**2 + 2*w + 4. Calculate p(j). -4 Suppose -2*v = -23 + 5. Suppose 3*d + j - 9 = 0, -4*d + v*d - 5*j - 35 = 0. Let w(h) = h**3 - 3*h**2 - 5*h + 6. Determine w(d). 2 Let b = 59 - 53. Suppose b*m + 33 = -3. Let z(v) = 2*v + 7. Give z(m). -5 Let q(y) = 2*y - 2. Suppose -1 = 2*g + 13. Let f = g + 12. Suppose 9 = -f*c - 6. What is q(c)? -8 Let z be 385/(-44) + 8 + 33/36. Let l(f) be the second derivative of 0 + 1/2*f**2 - 2*f + 0*f**3 + z*f**4. Give l(-1). 3 Let p(q) = 9*q + 1. Let i(v) = 5*v + 37. Let m(s) = 6*s + 38. Let u(r) = -5*i(r) + 6*m(r). Let g be u(-4). What is p(g)? -8 Let p(x) = -x**2 + 4*x - 4. Let m = 0 - 20. Let a be 2/5*m/(-8). Let w be (1 + a)*(-15)/(-6). What is p(w)? -9 Let d(a) = 3*a**2 - a + 1. Suppose 0 = 3*i, -12*s - 2 = -11*s + 4*i. What is d(s)? 15 Let d(w) = -w + 0*w - 5 - 5 + 12. Calculate d(10). -8 Let y(m) = -13*m + 11. Let a(n) = 11*n - 9. Let x(h) = -6*a(h) - 5*y(h). Let l = 3 + -2. Give x(l). -2 Suppose -2*h = 3*h - 2*x - 31, -h + 3*x = -14. Let k(r) = -4 + h + 0*r + r**3 + r**2 - 3 - r. Let o(q) = -q**3 + 7*q**2 + 2*q - 12. Let n be o(7). Give k(n). 8 Let w be (-10)/65 - (-350)/(-91). Let s(x) = x**2 + 3*x + 3. Determine s(w). 7 Let w(g) = -259*g - 1302. Let c be w(-5). Let t(u) = -3*u - 7*u - 2 + 2*u - u**2. Give t(c). 5 Let k(m) = 5*m - 3. Let a(n) = 8. Let t(i) = -i - 1. Let s(l) = -a(l) - 4*t(l). Let d(v) = -3*k(v) + 4*s(v). Suppose u = 2*u - 5. Determine d(u). -2 Let s(f) be the third derivative of 1/3*f**3 + 0*f + 0 - 1/24*f**4 - 17*f**2. Let d be -14*(-2 + 6/4). Give s(d). -5 Let r(a) = -26*a**3 + 9 + a + 40*a**2 - 33*a**2 + 13*a**3 + 2*a + 12*a**3. Determine r(7). 30 Let q(g) = -g - 5*g**2 + 7*g**2 + 3 - 121*g**3 + 122*g**3. What is q(-3)? -3 Let m be (-1)/2 - 1365/(-182). Let z(f) = -f**3 + 8*f**2 - 6*f + 10. Give z(m). 17 Suppose 20 = 3*o - 37. Let v = -13 + o. Let g = v + -6. Let b(u) = -u**2 + 3. What is b(g)? 3 Let c(s) = 2*s - 1. Let k(n) = -n**2 + 4*n + 7. Suppose -d - 6 - 4 = 2*q, 0 = -d + 3*q. Let a = d - -11. Let j be k(a). What is c(j)? 3 Let f(a) be the third derivative of a**6/120 - 11*a**5/60 + 3*a**4/8 - 2*a**3/3 - 34*a**2. Calculate f(10). -14 Let t(y) = -6*y**2. Let s be -3*(1/1 + -2). Let p be (-2 - 21/(-9))*s. Give t(p). -6 Let m be (-27)/9 + (-1 - -2). Let u(q) = -9*q**2 + 3*q - 12. Let s(l) = 18*l**2 - 5*l + 21. Let g(b) = 4*s(b) + 7*u(b). Calculate g(m). 34 Let i(w) = 2*w + 2. Let g(n) = 4*n**2 + 6*n - 4. Let d be g(-3). Let m = d - 9. What is i(m)? 12 Let m(r) = -r - 4. Suppose 49 = -3*d - 4*t, -5*d + 4*t + 0*t = 135. Let c = d + 50. Let a = c - 27. Determine m(a). -4 Let g(t) = -t**3 - 11*t**2 - 15*t - 8. Let o(z) = -z**3 - 12*z**2 - 17*z - 8. Let v(u) = -5*g(u) + 4*o(u). What is v(-6)? 2 Let r(d) be the second derivative of 0*d**4 + 1/2*d**3 - d**2 + 13*d + 0 - 1/20*d**5. Give r(2). -4 Let z be (-150)/125*(190/(-3) - 0). Suppose 5*f = 6 - z. Let p(i) = -i**3 - 13*i**2 + 15*i + 14. Calculate p(f). 0 Let l(d) = d**3 + 8*d**2 + d + 4. Suppose 0 = -5*c + 4*m + 30, 0 = -c + 2*m + 3*m + 27. Suppose 0 = c*k - 7 + 23. Give l(k). -4 Let b(t) = 1 + t**3 + 4 - 5*t + 4*t**2 + 0. Let u(d) = -d**3 - 6*d**2 - 3*d + 5. Suppose -g = g + 10. Let n be u(g). Give b(n). 5 Let a = 1 - -4. Suppose -3*c - a = -z, -3*z - 5*c = 2 - 3. Let i(g) be the second derivative of -g**5/20 + g**4/12 - g**3/2 + g**2 + 55*g. What is i(z)? -8 Suppose 0 = 8*k + 4 + 12. Let g(n) = -4*n**3 - 3*n**2 - 3*n - 3. Determine g(k). 23 Let r(n) = n**2 + n + 3. Let q be 0*1/(-5)*-1. Let b be q*((-4)/6)/(-2). Give r(b). 3 Let r(a) = a**2 + 8*a + 3. Let v(k) = -k**3 - 10*k**2 - k + 64. Let o be v(-9). What is r(o)? 3 Let d(x) = x**3 + 2*x**2 - 8*x + 2. Let j be d(-4). Let m(k) = -2*k**2 + k**3 - 22*k - 2 - 16*k - 20*k + 60*k. What is m(j)? 2 Let a(u) = -4*u**2 - 6*u - 6. Let h(j) = j**2. Let t(c) = -a(c) - 5*h(c). Determine t(8). -10 Let i(b) be the first derivative of b**4/4 + 2*b**3 - b**2 - 8*b + 2. Suppose 8*d + 724 - 676 = 0. Give i(d). 4 Let t(r) = -7*r. Let w(h) = 15*h + 1. Let b(u) = 13*t(u) + 6*w(u). What is b(8)? -2 Let v(k) = k**3 + k**2 + 2*k + 3. Let y(c) = 6*c**2. Let s be y(1). Let a(b) = 0*b + b**2 - 16 + 2 - 2*b + s*b. Let d be a(-6). Determine v(d). -5 Let f(s) = 11*s + 4. Let m be f(-3). Let r = -20 - m. Suppose 2*j = r + 1. Let h(a) = a**2 - 4*a - 4. What is h(j)? 1 Let l(k) = -7*k**3 - 5*k**2 - 3*k + 5. Let d(b) = -4*b**3 - 2*b**2 - b + 3. Let u be 40/8*(-2 + 1). Let h(n) = u*d(n) + 3*l(n). Calculate h(-4). 0 Suppose 18*g = 5*g + 78. Let r(y) = y**2 - 6*y - 6. Give r(g). -6 Suppose 0*b = 8*b - 24. Suppose b*z - 14 = -c, -2*z + 7 = -1. Let y(o) = -90 + 90 - 7*o. Determine y(c). -14 Let q = -32 - -24. Let h be (-3 - q) + (7 - 8). Let b(i) = -h + 7*i + 5 - 9*i. What is b(-3)? 7 Let s(p) = -3*p - 1. Let h(n) = -2*n - 1. Let g(q) = -5*h(q) + 3*s(q). Let l = 197 - 195. Determine g(l). 4 Let v(h) = -4*h**2 + h + 1. Let j(y) = -5*y**2. Let r(f) = 5*j(f) - 6*v(f). Let a(c) = -8*c + 5*c + 2*c + 11*c + 6. Let m be a(-1). Calculate r(m). 2 Let p(g) = g**3 + 6*g**2 + 6*g + 3. Let c = 27 + -27. Suppose -4*r + 5*r = w + 5, c = 3*w - 5*r + 17. Determine p(w). 11 Let l = -307 + 313. Let y(u) = u**2 - 6*u - 3. Calculate y(l). -3 Suppose 18*h - 9*h = 99. Let t(d) = -d**3 + 10*d**2 + 14*d
{ "pile_set_name": "DM Mathematics" }
25 = 5. Let x(s) = -s**2 + 5*s + 4. Determine x(y). 8 Let b(g) = 4*g**3 - 5*g**2 - 6*g - 4. Let k(q) = -5*q**3 + 5*q**2 + 7*q + 4. Let i(t) = 6*b(t) + 5*k(t). What is i(-5)? 1 Let b(p) be the first derivative of p**6/360 + p**5/60 + p**4/12 + 2*p**3/3 + 1. Let x(q) be the third derivative of b(q). Determine x(-4). 10 Let b(a) = 4*a**3 + 9*a + 2. Let u(s) = 2*s**3 + 4*s + 1. Let m(h) = 2*b(h) - 5*u(h). Calculate m(-1). 3 Suppose -19 - 11 = 5*n + 4*t, -3 = -n + t. Let d = 2 + n. Let y(g) = 0*g + 0*g + g**2 + 4 - g. What is y(d)? 4 Let k be (3/2)/(243/72 - 3). Let y(p) be the first derivative of -p**3/3 + 2*p**2 - 5*p - 2. What is y(k)? -5 Let i(q) be the third derivative of -q**6/120 - q**5/20 + q**4/8 + q**3/6 - 27*q**2 + 2. Calculate i(-4). 5 Let d(x) = x**3 + 5*x**2 - 7*x + 2. Suppose 0 = -4*r - 24. Calculate d(r). 8 Let b be -1 - (8/(-2) - (5 - 7)). Let p(m) = -35*m**3 - 8*m**2 + 11. Let n(i) = -12*i**3 - 3*i**2 + 4. Let l(y) = 8*n(y) - 3*p(y). Calculate l(b). 8 Let x(i) be the second derivative of -4*i - 1/3*i**4 + 0 - 1/720*i**6 - 1/120*i**5 + 0*i**2 + 0*i**3. Let u(f) be the third derivative of x(f). What is u(-1)? 0 Let o(y) = -9*y**3 + 8*y**2 - 11*y - 11. Let j(l) = 6*l**3 - 5*l**2 + 7*l + 7. Let i = 15 - 10. Let d(p) = i*o(p) + 8*j(p). What is d(-1)? -3 Let i(v) = -v + 1. Let l be i(1). Let r(x) be the first derivative of -2 - 1/4*x**4 - 4*x + l*x**2 + 5/3*x**3. What is r(5)? -4 Suppose 8*d = -2 + 18. Suppose 8*z - 3*z - 10 = 0, 2*v + 2*z = 14. Let n(o) = -v*o**d + 12*o**2 + 3 - 4. What is n(1)? 6 Let o(a) be the second derivative of a**3/6 + a**2 + 14*a. Give o(-4). -2 Let f = 5 + -11. Let z(p) = -p + 1. Let k(t) = -4*t + 12. Let r(u) = -k(u) + 5*z(u). Let h(i) = 2*i + 15. Let j(a) = 2*h(a) + 5*r(a). What is j(f)? 1 Suppose -2 = 2*h - 12. Let p(u) be the third derivative of -u**4/24 + 7*u**3/6 + u**2. Determine p(h). 2 Let b = 16 - 11. Let z(w) = -b*w**3 + w**3 + 3*w**3. Let c(a) = -3*a**2 - 4. Let r(s) = -c(s) + z(s). Give r(3). 4 Let t(g) be the first derivative of g**3/3 - 2*g**2 - 5*g - 1. Determine t(5). 0 Let u be 4/(-8) - (-1)/2. Let k(o) be the second derivative of 0 - 1/6*o**3 - 3*o + 0*o**2. What is k(u)? 0 Suppose 3*x + 9 - 3 = 0. Let q(w) = 2*w**2 - 2 + 6 + 0 - 6. What is q(x)? 6 Let x(z) = -4*z + 1. Suppose 4*p = 6*p - 4. Suppose 0 = -3*j - 3*l + 3, -3*j - 7*l = -p*l - 9. Calculate x(j). 9 Let v(s) = -4 - s**2 + s + 5 + 7. Calculate v(0). 8 Let x(g) be the second derivative of g**4/12 - g**3 - 3*g**2 - 7*g. Give x(7). 1 Let p(r) = -7*r**2 + r + 1. Let j(q) = 13*q**2 - 2*q - 3. Let n(h) = 2*j(h) + 5*p(h). Determine n(1). -9 Suppose 0*b = -b - 3*i - 18, -b + 17 = -4*i. Let a(s) = 9*s**3 + 2*s**2 + 3*s - 13. Let h(t) = 4*t**3 + t**2 + t - 6. Let z(w) = b*a(w) + 7*h(w). Give z(-2). -3 Let z(i) = i**3 - i**2 + i + 2. Let d be z(0). Let m(h) be the first derivative of h**2 + 78. Give m(d). 4 Suppose 6*p + 5 = 7*p. Suppose 4*w - 4 = p*w. Let n(x) = 4*x - 2 - 4*x**2 - x**3 - 2*x - x. Determine n(w). -6 Let c be 3 + -3 - 2/(-1). Let j(b) = 5 + 0 + 3*b - 4 - c*b**2 + 3*b**2. Calculate j(-5). 11 Let m(b) = -3*b**2 - 12*b - 3. Let r(d) = d**2 + d + 1. Let o(c) = -m(c) - 4*r(c). Give o(7). 6 Let g(u) be the first derivative of -3*u - 3 + 1/3*u**3 - u**2. Give g(3). 0 Suppose 0 = 2*m + 1 + 5. Let c(y) = -4*y - 7*y**2 + 3*y**2 - 3 - 1 + 2*y**2. What is c(m)? -10 Let u = -10 + 19. Let i(k) = 8 - k**2 - u - 2*k + 4*k**3 + 3*k**3. What is i(-1)? -7 Suppose 4*b - u = 1 + 2, 0 = 4*u - 4. Suppose 3*s - 6 - 3 = 0. Let t(q) = -3*q + 8*q + 1 + s*q. Give t(b). 9 Suppose -f - 1 - 4 = 0. Let o = f + 5. Let p(z) = 1 + 5 - 1 + z - 3. Calculate p(o). 2 Let g(i) = -i - 1. Suppose 0 = -8*c + 2*c - 42. Give g(c). 6 Suppose -2*a + 24 = 2*p - 7*p, -5*a - 2*p + 31 = 0. Let s(v) = -v - 1. Determine s(a). -8 Let z(x) = x - 3. Let d(u) = -u + 2. Let h(l) = -3*d(l) - 2*z(l). Calculate h(3). 3 Let i(j) = -2*j + 1. Let g = -7 + 4. Let q = -1 + g. Let k = 3 + q. What is i(k)? 3 Let r(p) = -2*p + 5. Let v(j) be the second derivative of j**5/20 + 5*j**4/12 + j**3/2 - 2*j**2 + j. Let l be v(-3). Give r(l). -5 Let g = -18 + 13. Let m(c) = -c**2 - 4*c - 1. What is m(g)? -6 Let z(i) = -i - 7. Let r = 19 - 27. What is z(r)? 1 Let s(z) be the first derivative of z**6/72 - z**5/120 + z**3/3 - 5. Let c(y) be the third derivative of s(y). Determine c(1). 4 Let m be (-2)/(-2) - (-6 + 10). Let x(w) = -3*w - 4. Let s(v) = -2*v - 2. Let i(g) = 5*s(g) - 3*x(g). Give i(m). 5 Let s(j) = -j - 4. Let r(k) = -k - 1. Let u(q) = 5*r(q) - s(q). Give u(-1). 3 Let m = 14 + -8. Suppose 2*g = w - m, 5*w + 22 = -7*g + 4*g. Let q(v) = 4*v + 3. Calculate q(w). -5 Let a(o) = -o**2 + 3*o - 3 - o**2 + 3*o**2. Give a(-4). 1 Let j = 6 - 3. Suppose 8 + 4 = 4*c + 2*s, 0 = j*c - 3*s - 9. Suppose 4*n + 2 + 5 = -3*l, 11 = -c*l - 5*n. Let o(m) = -m**2 + 3*m - 4. Determine o(l). -4 Let q(t) = t**2 - 2*t - 4. Let d = -18 + 7. Suppose -3*i + 4*u = 53, -5*u = -5*i - 29 - 56. Let f = d - i. What is q(f)? 4 Suppose 4*x + 2*k = 21 + 1, 3*k = 3. Let u(b) = x*b**2 - b**3 + 1 - 13*b**2 + 4*b**2 + 6*b. What is u(-5)? -4 Let q(k) = -k**3 - 3*k**2 + 2*k - 2. Let y be 35/(-10) - 1/2. Determine q(y). 6 Let p(j) = j**2 - 7*j + 2. Let m = -2 + 2. Suppose -4*l + m*l + 32 = 0. Let o = -2 + l. Calculate p(o). -4 Let p(j) = -j**2 + 2*j. Let w = -2 + 6. Give p(w). -8 Suppose -5*w = -2*k - 0 - 8, 4*w = -2*k + 10. Let r(p) = -3*p**2 + w - 4*p - 2*p**2 - 2 - p**3. Determine r(-3). -6 Let o(j) be the first derivative of j**2/2 - 4*j + 26. Calculate o(7). 3 Let o(y) = 2*y**2 + 2. Let v be 4*(-3)/(-3 + -3). Suppose 2*z - 2 = v. Determine o(z). 10 Let m(x) = -2*x - 1. Let k(y) = -2*y. Let w(j) = 5*k(j) - 6*m(j). Determine w(-4). -2 Let o(a) = -2*a + 4. Suppose -80 = 3*c - 8*c. Suppose -7*g + c = -3*g. Determine o(g). -4 Suppose 6*j = j. Let y(s) = -s**2 - s + 6. What is y(j)? 6 Suppose o + 5 = 1. Let j(w) = w**3 + 4*w**2 + 2*w + 3. What is j(o)? -5 Let o(p) = 5*p**2 + 30*p + 31. Let k(d) = -d**2 - 6*d - 6. Let c(h) = 11*k(h) + 2*o(h). Let u(w) be the first derivative of c(w). What is u(-5)? 4 Suppose -5*l - 7 = 2*v, 6*v - 2*v + 4 = 0. Let p(x) = -90*x + 1 - 2 + 90*x - 12*x**2. Give p(l). -13 Let s(b) be the first derivative of -2*b**3/3 + 13. Give s(1). -2 Let c be -6*(6/4 - 2). Let x(v) = 4 + 14*v - 7*v - c. Give x(-1). -6 Let p = -6 - -14. Suppose 3*o + p + 32 = -5*x, 2*x + 5*o = -35. Let w(m) = m**3 + 5*m**2 - 3*m - 5. Give w(x). 10 Let p(d) = 13*d + 4*d + 8*d**2 - 17*d - 1. What is p(1)? 7 Let y(n) = -n - 1. Let h be y(-1). Let l(t) = t + 1. Let u be l(-1). Let z be u + h - (-5 - -1). Let j(q) = q**2 - 3*q - 4. What is j(z)? 0 Suppose 6*x + 35 = x. Let c(l) = l**3 + 6*l**2 - 7*l - 3. Calculate c(x). -3 Let b(s) = -7*s - 1. Let i be (-9)/15 + 6/(-15). Calculate b(i). 6 Let m(z) = 18*z. Let v(u) be the first derivative of 7*u**2/2 - 1. Let a(x) = -5*m(x) + 12*v(x). Determine a(1). -6 Let p(q) = 2*q - 3. Let y be p(3). Let i(x) be the second derivative of x**4/12 - 5*x**3/6 + 3*x**2/2 - 15*x - 1. What is i(y)? -3 Let z(q) = -q**2 - q - 1. Let d be -2 + (2 - 2) - -2. Let n(k) = -2*k - 8. Let v be n(-6). Suppose 0*f + v*f + 12 = d. What is z(f)? -7 Let i(z) = 1 + 11*z**2 - 4*z + 4 - z**3 - 6*z**2. Give i(4). 5 Let b(r) = -3*r**2 + r + 1. Let q(o) = -o**3 - 4*o**2 - o - 5. Let p = -4 - 0. Let m be q(p). Determine b(m). -3 Let k(z) be the third derivative of -z**4/8 - z**3/6 - 13*z**2. Give k(-2). 5 Let h be 4/6*(3 - (6 - 15)). Let l(v) = -2*v + 8. Determine l(h). -8 Let t be 0 - (-1 + -1*4). Let s(g) = -t*g + 2 + 6 - 4 + 2*g**2. Suppose -8 = -2*m + a + 3, -3*a = 4*m + 3. Give s(m). 7 Let g(n) = -5*n**3 + n**3 - 6 - n + 5*n**3. Let i be (-4 - (-4 + 1))*-3. Let v = -3 + i. Calculate g(v). -6 Let v(k) = -k**2 + 2*k + 5. Suppose 2*d - 5*a + 16 = 6*d, 12 = -3*a. Let g = d + -4. Suppose -c = -0*n + g*n - 25, 5*c = 5*n - 25. Give v(n). -10 Suppose -3*f - 15 = 15. Let a = f - -7. Let i = -6 - a. Let c(d) = d**3 + 3*d**2 - 4*d - 3. Determine c(i). 9 Let f(j) = -14 - 17 - j + 0*j + 24. Determine f(0). -7 Let r(y) = y**2 + 3*y - 4. Let x be r(-3). Suppose 1 = -s + 4. Let i(t) = -t - s + 0*t - 3 - 1. What is i(x)? -3 Let v(g) = 5*g + 3. Let w(o) = -o - 11 + 1 - 5. Let l be w(-13). Give v(l). -7 Let c = -7 + 11. Suppose 0 = -5*n - 0*i - i - c,
{ "pile_set_name": "DM Mathematics" }
(d) 19 (e) -2/15 e Which is the fourth biggest value? (a) 1 (b) 2 (c) 2/7 (d) 15.2 c Which is the smallest value? (a) -0.3 (b) -3/7 (c) -0.5 (d) -1 (e) 54/19 (f) -7 f What is the biggest value in -1.154, -6, -10? -1.154 What is the biggest value in 2, 0, 0.21, 55, 1/3? 55 Which is the smallest value? (a) 3/82 (b) 0 (c) -3 (d) 2/9 (e) 5.18 (f) -2 c Which is the fourth smallest value? (a) -5/4 (b) -182/9 (c) -2/3 (d) 3 (e) 1 (f) -1 c Which is the biggest value? (a) 6/7 (b) -8 (c) 102 (d) -4/7 (e) -5 c Which is the second smallest value? (a) 1/3 (b) -1/22 (c) -1.1 (d) -3 (e) 24 (f) 5 c Which is the fourth smallest value? (a) -2 (b) -2.5 (c) 0.5 (d) -0.036 (e) -0.3 d Which is the second biggest value? (a) 0.1 (b) -2/19 (c) -3.4021 b Which is the second smallest value? (a) 2/285 (b) 9/4 (c) 6 b Which is the second smallest value? (a) 2890 (b) 4/7 (c) 5/2 (d) -0.5 (e) -1/3 e What is the fifth smallest value in -4, 0.5, 57, 0.89, -2/5, 2/7? 0.89 Which is the third smallest value? (a) -11/192 (b) -4/7 (c) -5 a Which is the second smallest value? (a) -1/74 (b) -31 (c) 0.1 (d) -5/2 d What is the second biggest value in -4, -16, -14, 0, -3? -3 What is the second biggest value in 66, -4/7, -1, 0.4, -33? 0.4 Which is the smallest value? (a) -0.3 (b) -1.1 (c) -4 (d) -14 (e) 3/4 (f) -5 d What is the smallest value in -37, 0.005, -1? -37 What is the second biggest value in -73, -5, 1/3, 423, -4? 1/3 What is the sixth smallest value in 3, 4, 1, 0.4, -51, -3? 4 What is the second biggest value in -24, 1, 2.2, 0.03, 0, -2? 1 What is the second smallest value in 144, 0.4, -1/3, -4, 3.5? -1/3 What is the fourth biggest value in -5, -0.1134, -15, 0? -15 Which is the smallest value? (a) -2 (b) 1315.96 (c) 0.5 (d) 1 (e) -4 e Which is the third biggest value? (a) 1/91 (b) -5/8 (c) -5 c Which is the fourth smallest value? (a) -131 (b) 3 (c) 1 (d) 0.5 (e) -6 (f) -7 d What is the third smallest value in 5, -18, -18228, 0.3? 0.3 Which is the second smallest value? (a) -3142/1579 (b) 1 (c) -2 a What is the third biggest value in 4, 0.1, 1, -26, -0.3? 0.1 What is the fourth smallest value in -1, 0.2245, 2, -0.2, 7? 2 Which is the second biggest value? (a) -2/7 (b) 118584 (c) -1/4 c Which is the sixth smallest value? (a) -3 (b) 0.8 (c) -18 (d) -1 (e) 3 (f) -1/4 e What is the sixth smallest value in -2/19, -3, -4, 1, 405.4, 5/8? 405.4 What is the smallest value in -1, -9/2, -797.9? -797.9 Which is the fourth biggest value? (a) 0.14 (b) -4/15 (c) 10 (d) 2/7 (e) -2/11 (f) -0.1 f Which is the second biggest value? (a) 0.5 (b) -0.06 (c) 0.1 (d) 0.4 (e) -73 d What is the second biggest value in -56, 63, 0? 0 Which is the fourth smallest value? (a) -6 (b) 69 (c) 3/2 (d) -1/16 b Which is the third biggest value? (a) -0.1 (b) -12 (c) -0.1235 b What is the third smallest value in -5/2, -0.2, -1/7, -3, -0.3727, -7? -5/2 What is the third biggest value in 0.2, 1/5426, 0.4? 1/5426 What is the third smallest value in 1594, 0.2, 3, 3/4? 3 Which is the third smallest value? (a) -3 (b) 1/6 (c) -0.107 (d) -15/13 c What is the sixth biggest value in -4/7, 0.5, -9/7, -38, 0.2, 0? -38 What is the smallest value in 6, 390/7, 2? 2 Which is the smallest value? (a) 0.1 (b) 13 (c) -9.51 (d) 8 c Which is the fourth smallest value? (a) 1 (b) 0 (c) 1/3 (d) -653 a What is the second smallest value in -3/5, -1.22, 607? -3/5 What is the smallest value in 0, -36, 2314? -36 What is the third biggest value in 288, 3, 4, -0.2, -4? 3 What is the second smallest value in -225.6, 0.06, 5/2? 0.06 Which is the fourth biggest value? (a) 1 (b) -4/5 (c) -2.2 (d) 4 c What is the fourth biggest value in -0.3, -0.2, -3251, 2, -4, 0.3? -0.3 Which is the biggest value? (a) 1 (b) 785 (c) -268 b Which is the second biggest value? (a) -10 (b) -352 (c) 3/2 (d) -4 d What is the third smallest value in 2, -2/17, 41, -14, -7? -2/17 What is the biggest value in 3565, 0.5, -5, -1? 3565 Which is the second smallest value? (a) -5/3 (b) 24 (c) 2/5 (d) -2/17 (e) -0.4 (f) -1 f Which is the third biggest value? (a) -8/11 (b) 2 (c) -1.6 c Which is the biggest value? (a) -0.3 (b) -5 (c) 28 (d) -27 (e) 2/5 (f) -2/9 c Which is the third smallest value? (a) 6/13 (b) -2 (c) -1/1153 a What is the fourth biggest value in 71, 0.01, 0.5, 4/3? 0.01 What is the smallest value in 0.01, 2/19, -300? -300 Which is the fourth smallest value? (a) 0.01 (b) 6 (c) -22.7 (d) 2/5 (e) 2 (f) -2 d What is the sixth biggest value in 1/8, 0.43, 2/5, -0.5, 3/23, -2? -2 Which is the fifth smallest value? (a) 10 (b) 14 (c) -0.5 (d) 29 (e) 1 d Which is the smallest value? (a) 212 (b) 241 (c) -4 (d) -3 c What is the biggest value in 0.05, 5, 1.8, 0.1? 5 What is the second smallest value in -3, -3/11, -46? -3 What is the fourth smallest value in -5/6, -12.6, 0.5, -0.064, 0.3? 0.3 Which is the second biggest value? (a) -1/4 (b) -3/4 (c) 0.7 (d) -3 (e) -0.3 a Which is the third biggest value? (a) 0.1 (b) 7231 (c) 1.1 (d) -1/2 a Which is the second smallest value? (a) 3 (b) 5.5 (c) 0.3 (d) -1542 (e) -1/11 e What is the second smallest value in 13, 4, -138? 4 What is the fourth biggest value in 2/13, 1, 3/35, 3.14, 3? 2/13 What is the second biggest value in -92, 0.21, -7, 0? 0 What is the third biggest value in 4/137, 69, 0.5? 4/137 What is the smallest value in 85328, 2/11, 7, 0.4? 2/11 What is the third smallest value in 0.14, 0.07, -19134? 0.14 Which is the fifth biggest value? (a) 2/7 (b) -4/7 (c) 2 (d) -1187 (e) -4 d Which is the second smallest value? (a) 1.3 (b) -35 (c) -1/8 c Which is the sixth biggest value? (a) -4 (b) 4 (c) -1/25 (d) -5 (e) -10 (f) 0.1 e What is the third smallest value in 0.5, 17, 1333? 1333 Which is the second biggest value? (a) -1 (b) -2004 (c) 1/5 (d) 0.3 c What is the second biggest value in -7090/7, -0.1, 24? -0.1 What is the biggest value in -10/351, -1/2, -17? -10/351 Which is the fourth smallest value? (a) 2/29 (b) 3/7 (c) -7 (d) 0.3 (e) -0.3 (f) 82 d What is the smallest value in 3/4, -24, 2/25, 2? -24 What is the third biggest value in -2/31, 2, 0, -178? -2/31 Which is the biggest value? (a) 0.052 (b) 3.1 (c) -77 b What is the biggest value in 1/5, 0.8, 8, -1/7, -422? 8 What is the third smallest value in 1/11, 6/11, -0.7, 0.2, -2? 1/11 What is the third smallest value in 0.2, -1, 5, -0.5, 1/3, -3? -0.5 Which is the second biggest value? (a) -35/4 (b) -0.51 (c) -5 (d) 4/5 (e) -2/21 (f) -4 e Which is the fourth biggest value? (a) 3 (b) -3/8 (c) 0.5 (d) -3908 (e) 3/4 b Which is the fifth smallest value? (a) -0.32 (b) -4 (c) -12 (d) 0.2 (e) -3 d What is the second smallest value in 2, 4, -1/6, -11, 1.03? -1/6 What is the second smallest value in 930, 0.31, -3? 0.31 What is the biggest value in 27, 5, -5.91? 27 Which is the smallest value? (a) -2/5 (b) 1/2 (c) 4/29 (d) 0.1 (e) 5/6 a Which is the biggest value? (a) -10 (b) -4305 (c) 1/3 (d) -0.3 (e) 0.04 c Which is the second biggest value? (a) -77 (b) -1 (c) -5 (d) 2/21 (e) 1/18 e What is the fourth biggest value in -161, -1.1, -2/5, -0.2, 2, 13? -2/5 Which is the fifth smallest value? (a) 4 (b) 0.5 (c) -3 (d) -1/3285 (e) 5/6 (f) -2 e Which is the third smallest value? (a) 2 (b) 50 (c) 603 c Which is the third biggest value? (a) -5 (b) 2.6 (c) 2 (d) -0.11 (e) -7/4 d Which is the second biggest value? (a) -2.773 (b) -0.6 (c) 0.4 (d) -1 (e) -0.2 (f) 1/4 f What is the third smallest value in -1/3, 0.1, 2, 99/7, -96? 0.1 What is the fourth smallest value in -3/5, -17/5, -0.1234, 3? 3 Which is the fifth smallest value? (a) 300.81 (b) -4 (c) 0.2 (d) -0.2 (e) 3/8 a What is the biggest value in -2, 0, 5, -21, 1/5, 2/13? 5 What is the biggest value in 3.8, 0.673, -3/2? 3.8 What is the third smallest value in 0.2, -2/11, -3, -4, 5173? -2/11 Which is the biggest value? (a) 0.1 (b) -2/169 (c) 1 c Which is the third biggest value? (a) -2/28273 (b) 2/7 (c) -2 c What is the biggest value in -1/7, 717, 2/5, 1/3? 717 Which is the fifth biggest value? (a) 2/21 (b) 71 (c) 1/6 (d) -0.2 (e) 2 d Which is the second biggest value? (a) -1.8
{ "pile_set_name": "DM Mathematics" }
= t - 26 for z. -5 Suppose 5*f - 2*n = -67, -f - n = 2*f + 49. Let d be (-51)/(-9) - (-10)/f. Solve -d*q = -0*q for q. 0 Suppose 0 = -4*g + 65 + 47. Let d(r) = r**2 + 17*r - 3. Let c be d(-16). Let y = g + c. Solve -3*m = -0*m + y for m. -3 Let v be (2/(-1))/4*-12. Suppose -f - a = -4*a - 12, 4*a + 12 = 0. Suppose 2*b = 5*q + 10, 63*b - 3*q - 6 = 62*b. Solve f*c - v = -b for c. 2 Suppose 11*f - 472 = -43. Let b = -20 + f. Solve 0 = -2*v - b + 11 for v. -4 Let p(d) = -3*d**3 + 2*d + 1. Let r(l) = l**2 + 5*l - 2. Let k be r(-5). Let m be 0/k + (-1)/1. Let h be p(m). Solve h*s = -2*s for s. 0 Suppose -5*u + 20 = -0. Suppose r - 14 = -4*x, -u*r + 1 = -3*x + r. Solve q = x*q for q. 0 Let a(v) = -v**3 - v**2 - 1. Let z(p) = -6*p**3 - 14*p**2 + 9*p - 16. Let o(f) = 5*a(f) - z(f). Let t be o(-10). Suppose h - 3 = -2*h. Solve m + t = -h for m. -2 Let i(b) = -b - 4. Let y be (-7)/(42/(-4))*-9. Let d be i(y). Let l(g) = g + 12. Let c be l(-8). Solve -c*u = -d*u for u. 0 Let j be (-54)/(-10) + (-16)/40. Suppose -3*z - j*n + 45 = z, -49 = -5*z + n. Let r be (z/(-25))/((-1)/5). Solve b = r*b - 5 for b. 5 Suppose -4497*x = -4517*x + 60. Solve 0 = -10*u + x*u - 28 for u. -4 Suppose -4*o + 147 = 5*p, 2*o = p - 0*p + 91. Solve -o*k + 41*k = 10 for k. -5 Let n be -5*1*(-42)/(-35). Let l be (n - -4)*30/(-4). Solve -5*b + l = -0*b for b. 3 Let o be -1 + 9*2/(-3) - -12. Solve -j = -6*j - o for j. -1 Suppose -34*l + 77 = -23*l. Solve b - l*b = -b for b. 0 Suppose 25 = 20*t - 15. Solve -t + 0 = f for f. -2 Let r(z) = z**2 + z - 7. Let m be r(-6). Suppose 2*w = -5*c + m, 0*c = 4*c - 3*w. Solve 8 - 2 = -c*n for n. -2 Let n be (-7)/7*(-1 - (-1 + 2)). Suppose -60 = 4*j - 8*j. Solve -z = n*z + j for z. -5 Let g(c) = -c**3 + 3*c**2 + 12*c + 8. Let y be g(-2). Let r(d) = -d**3 - 5*d**2 - d - 5. Let x be r(-5). Suppose 4*u - 11 = -3. Solve -u*k + y = -x for k. 2 Suppose 22*j - 155 = 21. Solve -43*p - j = -47*p for p. 2 Let i be -3 + 1 + 10 + 0. Let z be 2/(16/(-18)*15/(-20)). Solve i*x + 10 = z*x for x. -2 Let h(s) = -5*s - 75. Let y be h(-15). Solve 10*u + 2 + 28 = y for u. -3 Let h = -18 + 22. Suppose -2*v = -4*j - h, -5*j - 4*v + 5 = -3. Solve -2*r - 4 + 2 = j for r. -1 Let g(j) = -j**3 - 12*j**2 + 11*j - 24. Let t be g(-13). Solve -t*z - 2*z = 8 for z. -2 Let u be (-6)/(-1*(-6)/(-4)). Suppose -u*b + 2*c = 5090, -3*c - 2*c = -3*b - 3807. Let f be b/(-63) - (-4)/(-18). Solve -5*z + 0*z = -f for z. 4 Let o = 33 + -8. Let u = -25 + o. Solve -2*z + u = 4 for z. -2 Let s(r) = r**2 - 3*r + 5. Let d(z) = z**2 - 2*z + 5. Let j(l) = 6*d(l) - 5*s(l). Let m be (28/(-35))/(-1*4/(-10)). Let a be j(m). Solve -2*w = a*w - 10 for w. 2 Suppose -4*y + 5*y + 2*s - 4 = 0, y = -5*s + 16. Let o = 6 + y. Solve 0*h + 2 = o*h for h. 1 Let m be 30/15 + 2/4*4. Suppose m*y - 2*g - 7 = 3*g, -5*g + 20 = 5*y. Solve 3 = 3*n - y for n. 2 Suppose 88 - 10 = 2*k. Let g = k - 30. Solve -2*j - j = g for j. -3 Let t be 0 + 3/(-6) - (-174)/(-4). Let r be (t/16 + 3)*0. Solve r = -5*q - 3 + 28 for q. 5 Suppose -75 = p - 104. Solve 0 = 28*d - p*d + 5 for d. 5 Suppose 0 = 15*a - 12*a - 12. Solve 2*d = -2*d - a for d. -1 Let z(j) = 3*j**2 + 3*j - 176. Let h be z(8). Solve -15*c = -7*c - h for c. 5 Let h = -77 + 82. Solve 0*g + g = -h for g. -5 Suppose -o + 10 - 8 = 0. Suppose o*c + 3 = 7. Solve -7*p + c*p = 20 for p. -4 Let f(n) = -n**2 - 36*n - 253. Let a be f(-24). Solve a*s - 5 = 34*s for s. 5 Suppose i = 3 + 5. Suppose -6*c = -i*c + 20. Solve -2*z + 4 - c = 0 for z. -3 Let s(l) = -l + 9. Let u be s(7). Suppose -2*w - 4*y = -32, u*w = -w + 5*y - 7. Suppose 2*k + 0 = w. Solve k*i - 10 = 2 for i. 4 Let s = 273 + -273. Solve -h + s = 2 for h. -2 Let l(q) = -5*q**3 - 17*q**2 - 7*q - 7. Let u(d) = -2*d**3 - 8*d**2 - 4*d - 3. Let j(w) = 3*l(w) - 7*u(w). Let f be j(6). Solve f*t - 20 = t for t. 4 Suppose 3*t - 3*p - 2*p + 3 = 0, -3*t - 33 = 5*p. Let l(n) = -7*n - 19. Let k be l(t). Solve -2 = -5*g + k for g. 5 Suppose -10*v + 40 = -20. Solve v*b - 2 - 4 = 0 for b. 1 Let p(y) = 6*y**2 - 4*y + 8. Let f(i) = 6*i**2 - 3*i + 7. Let a(h) = 5*f(h) - 4*p(h). Let n be (-3)/(0 + 6/4). Let v be a(n). Solve 4*r + 5 = v for r. 5 Let z be (-14)/8 - ((-5)/(-20) - 1). Let l be (-11)/(-22)*(z + 1). Solve l = -i - 2*i for i. 0 Let l(v) = v + 20. Let m be l(-6). Let s(t) = -t**2 + 13*t + 26. Let c be s(m). Let y be (-4)/22 + (-24)/(-11). Solve y*b = -b - c for b. -4 Let o = -1331 - -1334. Let w be 4/(-14) - 16/(-7). Solve o*n = w*n + 3 for n. 3 Suppose 0*x = 5*x - 10. Suppose 0 + 4 = x*c. Suppose 4*f + c*f - 12 = 0. Solve -f*w = -10 + 2 for w. 4 Let p(o) = -o + 18. Let y be p(12). Solve 0*u + 3*u + y = 0 for u. -2 Suppose -14*h + 10*h + 448 = 0. Let u = 118 - h. Solve 0 = 3*w - u*w - 12 for w. -4 Suppose -4*l + 14 = 6. Let t be 203/35 - l/(-10). Suppose t = -0*g + 2*g. Solve -k = -g*k for k. 0 Let i(g) = 2*g**3 - 10*g**2 - 28*g + 25. Let m be i(7). Solve 14*q - 3 = m for q. 2 Suppose 21*n = -15*n + 1260. Solve -5*b = -n + 20 for b. 3 Let v = 5000 + -4984. Suppose 3*n = 9, y - 5*y + 4*n - 8 = 0. Solve -y + v = 5*c for c. 3 Let k(j) = -j**2 - j. Let c be k(-6). Let n = -27 - c. Solve 4 - n = m for m. 1 Let g be 52/(-234) + (-3)/((-54)/76). Solve g = 2*t + 2 for t. 1 Let r be (1 - 3/5) + (-23)/(-5). Solve 0 = 4*o + 11 + r for o. -4 Let g be ((-567)/17)/(-3) + (-8)/68. Solve 0 = -8*w + g*w + 15 for w. -5 Suppose 39 = 11*h + 2*h. Let o be (-48)/(-22) + (-2)/11. Solve o = -5*f - h for f. -1 Suppose -4*j = 10 - 34. Let s = 0 + j. Let o(w) = w**2 - 6*w + 4. Let x be o(s). Solve -2*a + 3*a = -x for a. -4 Let j = -17 + 53. Let o be 24/j*(5 + -2). Solve 4*k + o = -10 for k. -3 Suppose -5*v + 53 = q, 5*q + 41*v = 44*v + 377. Solve q*c = 70*c for c. 0 Suppose 0 = 2*u + 2*u. Suppose -3*n + 2*s - 8 = u, 0 = 4*n - 2*s + 4*s - 8. Suppose 8 = -3*f + 4*f - 2*p, n = -5*f - 3*p + 1. Solve -4 - f = 3*g for g. -2 Let o(v) = 7*v**2 + 27*v + 53. Let s(j) = 3*j**2 + 13*j + 26. Let q(h) = -4*o(h) + 9*s(h). Let y be q(11). Solve 3*f - 4 - 8 = y for f. 4 Let i be (-6)/(-27) - (-8)/(-36). Solve 0 = 9*s - i*s for s. 0 Let u = 14 + -12. Let l = -10 + 11. Suppose 2 = s - 3*h, -3*h - l = 2*s - 14. Solve u*f = s*f + 6 for f. -2 Suppose -65*a + 46*a + 152 = 0. Solve a*y + 15 = 13*y for y. 3 Suppose -4*j = 2*z - 24, -14*j + 19*j + 4*z - 30 = 0. Solve -3*k = -k - j for k. 3 Let t = -22 + 27. Suppose i = 3*a - 26 + 4, -4*a + 61 = t*i. Solve 10 = -a*u + 4*u for u. -2 Suppose 6*i + 84 = 10*i. Let r = i + -14. Solve -3*y + 20 = -r*y for y. -5 Suppose -6*r = 124 - 160. Solve 3 = r*l - 3 for l. 1 Suppose -53 + 17 = -4*f. Let k(x) = x**2 - 11*x + 21. Let g be k(f). Solve -y - g*y = -12 for y. 3 Suppose u + 3 = 8. Suppose 4 = u*y - 3*y. Solve -y = -2*l - 0 for l. 1 Suppose 2*n + 2*k - 56 = 0, -3*k - 2 - 1 = 0. Let j = -26 + n. Solve -j*o - 20 = -7*o for o. 5 Let y be -5 + 6 + 2 + 14. Solve -6*a = 1 + y for a. -3 Suppose 10*v + 3 = 13*v. Solve 2 = 3*n - v for n. 1 Suppose 25 = 11*a - 6*a. Let x be (-9)/(1/(-4)*-4). Let d = x + 15. Solve -d*t + t = -a for t. 1 Let g(x) = 2*x - 34. Let w(u) = -u + 17. Let a(q) = -3*g(q) - 5*w(q). Let d be a(17). Solve d = n - 2*n for n. 0 Let b = -5 + 11. Solve -p + b = 9 for p. -3 Let y = -2 - -7. Let h = 129 - 125. Solve 4 = h*c - y*c for c. -4 Suppose p = -0*p - 14. Let u = 11 + p. Let x be 6/9 + (-13)/u. Solve z = 2*z + x for z. -5 Suppose 2*i + 17*u - 16*u = 5, 0 = -3*i - 3*u + 3. Solve 0 = -i*r - 4 for r. -1 Let a(s) = s**3 - 4*s**2 - 6*s - 6. Let o be a(6). Solve -6*j + o = -0 for j. 5 Let q(d) = -6*d - 2*d - 21 + 17. Let m be q(-1). Solve 5 + 15 = m*b for b. 5 Let i be (7 + -3)/(3 - 1). Let d = i + 3. Suppose -7*b + d*p - 10 = -5*b, 9 = b + p. Solve -z - b = -2 for z. -3 Let v(g) = -22*g + 11. Let a be v(2). Let b = 34 + a. Solve -14 - b = 5*m for m. -3 Let q = -3 + 13. Let u be (-1)/(27/(-6) - -4). Suppose u*a = 7*a. Solve a = -w + 6*w - q for w. 2 Let d = 28 - 23. Suppose -2*b - x = -5, 2 = 3*b - d*x + 1. Solve -b*o + 4*o = 0 for o. 0 Let p = -125 - -129. Solve -p = -60*g + 58*g for g. 2 Suppose -m = -3*g + 6, -3*g + 2*m - 2 = -4*g. Suppose -7 = -g*u + 9. Suppose -3*j + 20 = 4*a, -4*j + 2*j = -u. Solve -2*i + a + 0 = 0 for i. 1 Suppose -b + 5*b = p + 21, 0 = 3*b + 3*p - 12. Let n be 16/b + 2*(-8)/80. Solve 0 = -n*j + j - 8 for j. -4 Suppo
{ "pile_set_name": "DM Mathematics" }
culate the common denominator of -107/4740 and 101/24. 9480 Find the common denominator of -119/8310 and 41/14958. 74790 What is the lowest common multiple of 6072 and 207? 18216 Calculate the common denominator of 155/42 and 38/1599129. 3198258 Calculate the smallest common multiple of 21592 and 64. 172736 What is the lowest common multiple of 33 and 1070736? 11778096 Find the common denominator of 143/72 and -157/590916. 3545496 Find the common denominator of -133/24 and 4/14691. 117528 What is the least common multiple of 4734 and 792? 208296 Calculate the common denominator of -73/8954 and -129/5698. 62678 Find the common denominator of 67/41690 and -39/145915. 291830 Calculate the smallest common multiple of 8660 and 11110. 9621260 Find the common denominator of 32/803 and 4/32047. 352517 Calculate the common denominator of -25/56 and -83/4508. 9016 What is the lowest common multiple of 2602422 and 21? 18216954 What is the least common multiple of 392 and 68796? 137592 What is the least common multiple of 60 and 71550? 143100 What is the common denominator of -127/440 and 99/4310? 189640 Calculate the common denominator of 10/27559 and 13/5334. 165354 What is the common denominator of 79/302 and -69/4? 604 Find the common denominator of -41/1264 and -55/3714. 2347248 What is the lowest common multiple of 6107 and 5122? 158782 Calculate the least common multiple of 1854612 and 144. 7418448 What is the common denominator of -151/388728 and 39/5399? 388728 Calculate the smallest common multiple of 815 and 28688. 143440 What is the common denominator of -71/12 and 45/1466486? 8798916 Calculate the common denominator of -34/14273 and -16/77. 157003 What is the smallest common multiple of 147506 and 5630? 737530 What is the lowest common multiple of 165 and 9845? 29535 What is the common denominator of 39/133235 and -69/10? 266470 Find the common denominator of -63/1486432 and 93/1486432. 1486432 Calculate the least common multiple of 7872 and 413280. 826560 Calculate the common denominator of 47/1300623 and 47/12. 5202492 What is the least common multiple of 352 and 1952? 21472 What is the common denominator of -35/3 and -14/21045? 21045 Find the common denominator of 59/526 and -55/18202. 4787126 Calculate the common denominator of 47/85100 and 89/16100. 595700 What is the least common multiple of 162 and 52? 4212 What is the common denominator of -53/4085348 and -55/8? 8170696 What is the common denominator of 26/2131 and 39/104419? 104419 Calculate the common denominator of 101/61074 and -95/162. 61074 What is the common denominator of -37/34 and 157/110838? 1884246 Calculate the smallest common multiple of 45 and 605619. 3028095 Find the common denominator of -47/7060 and -89/28240. 28240 What is the common denominator of -95/6228 and 11/32? 49824 Calculate the common denominator of 107/3072 and 41/896. 21504 What is the common denominator of 149/1932 and -31/244536? 1711752 What is the least common multiple of 37597 and 42? 225582 Calculate the smallest common multiple of 128003 and 1. 128003 Calculate the common denominator of 11/15090 and -89/22635. 45270 Find the common denominator of -143/44496 and -115/2472. 44496 Find the common denominator of -93/22 and 85/24796. 272756 What is the smallest common multiple of 429432 and 4936? 429432 What is the lowest common multiple of 42316 and 36? 380844 Calculate the common denominator of 173/720 and 47/14832. 74160 Calculate the lowest common multiple of 420 and 3650. 153300 What is the lowest common multiple of 2145 and 170? 72930 What is the common denominator of 59/28864 and 17/176? 28864 Find the common denominator of -35/24 and 97/69405. 555240 What is the least common multiple of 107723 and 11192? 861784 Find the common denominator of 30/5257 and 31/6759. 47313 Find the common denominator of 71/90 and 14/17397. 173970 What is the smallest common multiple of 22295 and 9555? 66885 Calculate the lowest common multiple of 6850 and 420. 287700 Calculate the least common multiple of 14 and 600. 4200 Calculate the lowest common multiple of 162 and 139266. 417798 What is the common denominator of -103/6 and -4/4829? 28974 Calculate the smallest common multiple of 735 and 5. 735 Calculate the common denominator of 71/17980 and -51/9610. 557380 Calculate the lowest common multiple of 11556 and 486. 104004 What is the common denominator of -61/7572 and 89/12620? 37860 What is the smallest common multiple of 8628 and 456? 327864 Find the common denominator of 42/4139 and -6/53807. 53807 Find the common denominator of 95/816 and 43/41616. 41616 What is the lowest common multiple of 7068 and 15? 35340 Calculate the least common multiple of 45773 and 56. 366184 Calculate the common denominator of 13/2928 and 145/2928. 2928 What is the common denominator of 49/27865 and -71/70? 390110 What is the common denominator of -33/5510 and 53/130? 71630 What is the common denominator of -88/27795 and -163/19620? 333540 Calculate the common denominator of -23/5 and 87/5882. 29410 Calculate the common denominator of 65/8199 and -19/21864. 65592 What is the lowest common multiple of 8010 and 5085? 905130 What is the common denominator of -4/3055 and 109/40? 24440 What is the smallest common multiple of 193347 and 322245? 966735 What is the common denominator of 59/9317 and -3/46585? 46585 Calculate the common denominator of 67/64 and 15/6512. 26048 Find the common denominator of 179/1890 and -32/2079. 20790 Calculate the lowest common multiple of 15456 and 13524. 108192 Calculate the least common multiple of 11082 and 42. 77574 Calculate the lowest common multiple of 129216 and 22272. 14989056 Calculate the lowest common multiple of 585 and 900. 11700 Find the common denominator of 161/12690 and -53/36. 25380 Calculate the smallest common multiple of 1015 and 20. 4060 What is the lowest common multiple of 38006 and 775? 950150 What is the common denominator of 37/49 and 43/45409? 317863 What is the common denominator of 81/26 and 101/8210? 106730 What is the smallest common multiple of 7541254 and 6? 22623762 Calculate the lowest common multiple of 56 and 326032. 326032 What is the common denominator of 99/20 and -23/42508? 212540 What is the lowest common multiple of 2920 and 23944? 119720 What is the common denominator of 97/730940 and 121/31780? 730940 Calculate the common denominator of -101/553602 and 79/72. 6643224 What is the common denominator of -23/48 and 161/8448? 8448 Calculate the smallest common multiple of 11308 and 11660. 2996620 Calculate the common denominator of -83/74 and -29/4722. 174714 What is the common denominator of 31/1421 and -74/37149? 260043 What is the lowest common multiple of 504 and 1134? 4536 What is the least common multiple of 108 and 22824? 68472 What is the common denominator of 35/18 and -61/2472? 7416 What is the smallest common multiple of 93730 and 1030? 93730 What is the smallest common multiple of 490 and 52350? 2565150 What is the smallest common multiple of 4 and 4052? 4052 Calculate the lowest common multiple of 15744 and 20. 78720 What is the lowest common multiple of 456 and 48? 912 What is the common denominator of -91/4 and -23/1152666? 2305332 What is the common denominator of -14/135 and -127/121632? 5473440 What is the common denominator of 93/4 and -99/31880? 31880 Calculate the lowest common multiple of 168 and 11004. 22008 Calculate the lowest common multiple of 20579 and 14247. 185211 Calculate the common denominator of 53/130995 and 34/5535. 392985 Calculate the common denominator of -131/9276 and -13/2280. 1762440 Calculate the smallest common multiple of 29575 and 143. 325325 What is the common denominator of 115/144 and -125/327996? 1311984 Calculate the lowest common multiple of 47996 and 962. 1775852 Calculate the smallest common multiple of 107134 and 8. 428536 What is the common denominator of 127/19635 and -32/3825? 294525 Find the common denominator of 31/59296 and 45/8. 59296 Find the common denominator of -22/32391 and 55/366. 64782 Calculate the least common multiple of 336 and 12844. 1078896 Calculate the least common multiple of 10738 and 91273. 182546 Find the common denominator of 21/128 and 57/272. 2176 Calculate the smallest common m
{ "pile_set_name": "DM Mathematics" }
, 2, 121 Suppose 2*p**4/13 + 136*p**3/13 + 220*p**2 + 17864*p/13 + 15138/13 = 0. Calculate p. -29, -9, -1 Factor 213*b**3 + 15117*b**2 - 426*b. 3*b*(b + 71)*(71*b - 2) Suppose -y**4 + 1093*y**3 - 7592*y**2 - 10876*y + 17376 = 0. What is y? -2, 1, 8, 1086 Suppose -g**3 - 394591*g**2 + 789185*g - 394593 = 0. Calculate g. -394593, 1 Factor -r**3/2 + 60332*r**2 - 1819975112*r. -r*(r - 60332)**2/2 Suppose -r**2/3 - 21194*r/3 - 112296409/3 = 0. What is r? -10597 Find b, given that 39*b**4/8 - 643*b**3/2 - 4404*b**2 - 13914*b - 702 = 0. -6, -2/39, 78 Factor -y**3/8 + 545*y**2/8 - 10479*y/8 - 11025/8. -(y - 525)*(y - 21)*(y + 1)/8 Solve 3*i**2 - 63504*i + 336063168 = 0 for i. 10584 Determine f so that 2*f**2/7 + 6936*f/7 = 0. -3468, 0 Suppose 5*r**5 - 12575*r**4 + 100315*r**3 - 87745*r**2 = 0. What is r? 0, 1, 7, 2507 Determine w, given that -5*w**3/6 - 6255*w**2 + 25025*w/2 - 18770/3 = 0. -7508, 1 Solve 2*g**4/15 + 7070944*g**3/15 + 2083258020148*g**2/5 - 12499569333728*g/15 + 6249788202338/15 = 0. -1767737, 1 Solve -26*w**4 - 174*w**3 + 1086*w**2 - 1546*w + 660 = 0. -11, 1, 30/13 Suppose -s**3/6 - 43*s**2 - 9629*s/6 - 1562 = 0. What is s? -213, -44, -1 Suppose 3*y**2/7 - 6015*y/7 + 47928/7 = 0. What is y? 8, 1997 Determine d, given that 2*d**4 + 842*d**3 + 89862*d**2 + 258742*d - 349448 = 0. -209, -4, 1 Factor -3*z**3 + 70818*z**2 - 417932427*z. -3*z*(z - 11803)**2 Determine a, given that 4*a**4 - 80*a**3 - 2024*a**2 + 5808*a + 143748 = 0. -11, 9, 33 Find q, given that -4*q**4 - 1160*q**3 + 23484*q**2 = 0. -309, 0, 19 Factor g**2/2 - 45816*g - 183272. (g - 91636)*(g + 4)/2 Factor -3*a**2 + 5022*a + 30240. -3*(a - 1680)*(a + 6) Solve -b**4/2 - 13*b**3 - 203*b**2/2 - 221*b - 132 = 0. -12, -11, -2, -1 Factor 4*l**2 - 71492*l - 1216520. 4*(l - 17890)*(l + 17) Find w such that -676*w**4/5 - 4940*w**3 - 12828*w**2/5 + 1980*w - 1296/5 = 0. -36, -1, 3/13 Factor 484*i**4/7 - 2469860*i**3/7 + 600179868*i**2 - 340308598644*i + 5624771544. 4*(i - 1701)**3*(121*i - 2)/7 Determine x so that -8*x**4 - 52*x**3 - 60*x**2 = 0. -5, -3/2, 0 Factor -2*x**3/5 - 122*x**2/5 + 5882*x/5 - 10982. -2*(x - 17)**2*(x + 95)/5 Solve -z**5/2 + 5*z**4/2 + 79*z**3/2 + 67*z**2/2 - 39*z - 36 = 0 for z. -6, -1, 1, 12 Determine y so that 6*y**5/11 - 324*y**4/11 - 1488*y**3/11 + 5184*y**2/11 + 22272*y/11 = 0. -4, 0, 4, 58 Suppose s**2/5 + 546022*s/5 + 74535006121/5 = 0. What is s? -273011 What is o in 5*o**4 + 105*o**3 + 135*o**2 - 8505*o - 43740 = 0? -12, -9, 9 Let -33*y**4 + 3705*y**3 - 15264*y**2 + 3888*y = 0. Calculate y. 0, 3/11, 4, 108 Let -2*h**2 + 4574*h + 4576 = 0. What is h? -1, 2288 Factor 6*b**3 + 10*b**2 - 948*b + 1232. 2*(b - 11)*(b + 14)*(3*b - 4) Solve -3*f**3/4 + 933*f**2/4 + 30015*f/4 + 230175/4 = 0 for f. -15, 341 Factor 5*g**2 - 11050*g + 11045. 5*(g - 2209)*(g - 1) Factor 3*p**2/2 - 1497*p - 869265/2. 3*(p - 1233)*(p + 235)/2 What is l in 2*l**3/9 - 8610*l**2 - 232484*l/9 - 51664/3 = 0? -2, -1, 38748 Let -9*c**4 - 159*c**3 - 675*c**2 - 729*c + 324 = 0. Calculate c. -12, -3, 1/3 Let 36*s**4/7 + 4144*s**3 + 230192*s**2/7 + 344640*s/7 = 0. What is s? -7180/9, -6, -2, 0 What is q in -q**3 + 2258*q**2 - 1274641*q = 0? 0, 1129 Suppose -4*d**4 + 452*d**3 + 8456*d**2 + 49200*d + 93600 = 0. Calculate d. -6, -5, 130 Find r, given that -2*r**5/13 - 822*r**4/13 - 6426*r**3/13 + 8902*r**2/13 + 1116*r = 0. -403, -9, -1, 0, 2 What is w in 2*w**5/5 - 8*w**4/5 - 198*w**3/5 + 812*w**2/5 - 40*w - 240 = 0? -10, -1, 2, 3, 10 Factor -3*t**3 - 354*t**2 - 10200*t. -3*t*(t + 50)*(t + 68) Determine l so that -2*l**4/3 - 4558*l**3/3 + 244214*l**2 - 28101458*l/3 - 28838656/3 = 0. -2432, -1, 77 Solve -2*n**2 - 564*n + 566 = 0 for n. -283, 1 Let s**5/5 + 158*s**4/5 - 7019*s**3/5 - 209508*s**2 + 8791380*s = 0. What is s? -130, 0, 51 Factor -3*l**3/2 + 101*l**2/2 + 17*l. -l*(l - 34)*(3*l + 1)/2 Suppose 2*v**5/3 - 56*v**4/9 - 6610*v**3/9 + 260*v**2 + 17704*v/9 + 8816/9 = 0. What is v? -29, -1, -2/3, 2, 38 Determine s so that 563*s**3/7 + 45042*s**2/7 + 171312*s/7 + 608/7 = 0. -76, -4, -2/563 What is l in 25*l**5 + 1735*l**4 + 23540*l**3 + 48140*l**2 + 15600*l = 0? -52, -15, -2, -2/5, 0 Let g**4 + 2167*g**3 - 8680*g**2 + 8684*g = 0. What is g? -2171, 0, 2 Solve 24300*c**3 + 25731*c**2 + 8472*c + 816 = 0. -4/9, -17/100 Factor 2*u**2/11 + 2883696*u/11 + 1039462827552/11. 2*(u + 720924)**2/11 Find k, given that 5*k**4 - 490*k**3 - 18720*k**2 - 163350*k - 145125 = 0. -15, -1, 129 Find i such that -3*i**2 + 221898*i - 2218680 = 0. 10, 73956 Factor 2*b**3/7 + 322*b**2 + 651632*b/7 + 9274080/7. 2*(b + 15)*(b + 556)**2/7 Let -821*s**4/3 + 4922*s**3/3 - 2455*s**2 + 3248*s/3 + 16/3 = 0. Calculate s. -4/821, 1, 4 Solve 3*k**3 + 101436*k**2 + 202863*k + 101430 = 0. -33810, -1 Let 4*h**3 + 9200*h**2 - 9204*h = 0. Calculate h. -2301, 0, 1 Solve -3*b**4 + 15*b**3 - 60*b + 48 = 0. -2, 1, 2, 4 Solve 48*d**2 - 155757*d - 9735 = 0 for d. -1/16, 3245 Factor -3*q**3 + 10743*q**2 + 53790*q. -3*q*(q - 3586)*(q + 5) Factor -i**2/3 - i + 154/3. -(i - 11)*(i + 14)/3 Suppose -112*w**5/11 + 1464*w**4/11 - 3719*w**3/11 + 2872*w**2/11 - 828*w/11 + 80/11 = 0. What is w? 1/4, 4/7, 2, 10 Factor -x**3/5 + 242*x**2/5 - 2760*x. -x*(x - 150)*(x - 92)/5 Find v, given that -25*v**4/7 + 4695*v**3/7 - 40587*v**2 + 5368109*v/7 + 808134 = 0. -1, 42, 367/5 Let -3*t**2/4 - 153*t/4 - 465 = 0. What is t? -31, -20 Factor -16*r**3 - 12564*r**2 + 47356*r + 12624. -4*(r - 4)*(r + 789)*(4*r + 1) Let 5*z**4/2 + 20565*z**3/2 + 21135615*z**2/2 - 21403085*z/2 - 126937470 = 0. What is z? -2057, -3, 4 Let -v**4/9 - 770*v**3 - 6924*v**2 - 20766*v - 20763 = 0. Calculate v. -6921, -3 Factor 2*h**2 + 6268*h. 2*h*(h + 3134) Factor -5*g**2 + 34400*g. -5*g*(g - 6880) Factor y**2 + 10065*y + 10064. (y + 1)*(y + 10064) Factor -c**2 - 43492*c - 43491. -(c + 1)*(c + 43491) Factor -67*k**2/11 - 3336*k/11 + 700/11. -(k + 50)*(67*k - 14)/11 Factor c**4/3 - 194*c**3/3 + 913*c**2/3 + 2004*c + 2268. (c - 189)*(c - 9)*(c + 2)**2/3 Factor 4*w**3 - 252*w**2 + 3836*w - 17028. 4*(w - 43)*(w - 11)*(w - 9) Determine r so that -182*r**3 - 9274*r**2 - 55648*r + 2464 = 0. -44, -7, 4/91 Let 260*w**3 - 14308*w**2 + 14480*w - 432 = 0. What is w? 2/65, 1, 54 Factor -u**3 - 15*u**2 + 312*u + 2944. -(u - 16)*(u + 8)*(u + 23) Factor 3*b**3/2 - 26587*b**2/2 + 58910145*b/2 - 19633761/2. (b - 4431)**2*(3*b - 1)/2 Let -69*a**5 + 615*a**4 - 1119*a**3 - 723*a**2 + 1188*a + 108 = 0. What is a? -1, -2/23, 1, 3, 6 Let -2*x**3 + 7622*x**2 - 7273280*x + 21751296 = 0. What is x? 3, 1904 Factor -4*i**2/5 - 8832*i/5 - 482048/5. -4*(i + 56)*(i + 2152)/5 Find y, given that -2*y**2/3 - 2402*y/3 - 2396 = 0. -1198, -3 Find k, given that 4*k**4 - 136*k**3 + 524*k**2 + 4504*k - 10080 = 0. -5, 2, 9, 28 Factor 5*b**2 - 227905*b + 227900. 5*(b - 45580)*(b - 1) Determine j, given that 2*j**5/7 + 510*j**4/7 + 40902*j**3/7 + 1121978*j**2/7 + 12630384*j/7 + 50618880/7 = 0. -120, -96, -13 Find p such that 4*p**2 + 648*p - 19552 = 0. -188, 26 Factor -2*j**3/15 + 268*j**2/15 + 112*j. -2*j*(j - 140)*(j + 6)/15 Determine u so that 2*u**5/9 - 380*u**4/3 + 160108*u**3/9 + 680792*u**2/9 - 349566*u + 2306332/9 = 0. -7, 1, 2, 287 Let 3*j**2 + 11685*j = 0. Calculate j. -3895, 0 Suppose -21*o**4 + 57*o**3/2 + 36*o**2 - 33*o/2 - 3 = 0. What is o? -1, -1/7, 1/2, 2 Find a, given that 2*a**3/5 - 208*a**2 + 84638*a/5 = 0. 0, 101, 419 Suppose -t**4/5 + 804*t**3 + 20131*t**2/5 - 4830*t = 0. Calculate t. -6, 0, 1, 4025 Solve 4*b**2 + 2749656*b + 472538007396 = 0. -343707 Determine n so that -93025*n**3/3 - 837835*n**2 - 16473*n - 81 = 0. -27, -3/305 Let 900*q**3 + 82740*q**2 + 236896*q + 172304 = 0. What is q? -89, -22/15 What is l in -36*l**4 - 1312*l**3 - 7156*l**2 + 74248*l - 108800 = 0? -25, -17, 2, 32/9 Factor -80*g**3 + 73560*g**2 - 36765*g + 4595. -5*(g - 919)*(4*g - 1)**2 Factor -3*l**3 + 4893*l**2 - 1992672*l - 1997568. -3*(l - 816)**2*(l + 1) Solve 3117*p**5/7 + 9354*p**4/7 + 3126*p**3/7 - 9348*p**2/7 - 6243*p/7 - 6/7 = 0. -2, -1, -1/1039, 1 Suppose -5*u**3 + 2945*u**2 + 2950*u = 0. What is u? -1, 0, 590 Determine h, given that -4*h**5/5 - 92*h**4/5 + 320*h**3 + 3536*h**2/5 = 0. -34, -2, 0, 13 Suppose 3*k**3/2 - 15687*k**2/2 = 0. Calculate k. 0, 5229 Let -f**5/4 - 14041*f**4/4 + 28091*f**3/4 + 70209*f**2/4 - 42129*f/2 = 0.
{ "pile_set_name": "DM Mathematics" }
ment from vqvhvqvvqvhqv. 2/39 Three letters picked without replacement from {i: 7, a: 4}. What is prob of sequence iii? 7/33 Three letters picked without replacement from aaapaxajaajiaiaa. What is prob of sequence xpi? 1/1680 Four letters picked without replacement from mvxgmvvggmgxgxzzvg. Give prob of sequence mxgm. 1/680 Four letters picked without replacement from {s: 1, k: 3, b: 5}. Give prob of sequence kskb. 5/504 Calculate prob of sequence cc when two letters picked without replacement from fcugnfcfcfncfcgfccgf. 21/190 What is prob of sequence wwo when three letters picked without replacement from {w: 13, o: 5}? 65/408 Two letters picked without replacement from ooooooooooooh. Give prob of sequence ho. 1/13 What is prob of sequence oqq when three letters picked without replacement from {q: 3, o: 11}? 11/364 What is prob of sequence rydy when four letters picked without replacement from zrzrdzryry? 1/630 What is prob of sequence lt when two letters picked without replacement from tllc? 1/6 Three letters picked without replacement from {v: 1, u: 1, w: 2}. Give prob of sequence vww. 1/12 Three letters picked without replacement from {m: 3, c: 4, o: 8, l: 2}. What is prob of sequence oml? 1/85 Calculate prob of sequence gig when three letters picked without replacement from ggigiggggggi. 9/55 Three letters picked without replacement from {m: 1, z: 2, n: 2, e: 4}. What is prob of sequence enn? 1/63 Three letters picked without replacement from {l: 1, k: 4, m: 2, w: 2}. What is prob of sequence wkl? 1/63 Two letters picked without replacement from {x: 2, n: 2, h: 4, a: 1, m: 3}. What is prob of sequence ax? 1/66 Two letters picked without replacement from yyaygygpyj. What is prob of sequence pg? 1/45 Two letters picked without replacement from {g: 1, n: 2, a: 1, o: 1, y: 1, v: 1}. Give prob of sequence gn. 1/21 What is prob of sequence gg when two letters picked without replacement from {g: 2, t: 9}? 1/55 Three letters picked without replacement from pkrwrprr. What is prob of sequence prk? 1/42 Calculate prob of sequence po when two letters picked without replacement from {o: 4, q: 6, p: 3}. 1/13 Two letters picked without replacement from ggpoogopppoeogo. What is prob of sequence gg? 2/35 Three letters picked without replacement from lslssslsllltllsllll. What is prob of sequence tls? 4/323 Four letters picked without replacement from bzzczccbcc. What is prob of sequence zzcz? 1/168 What is prob of sequence qq when two letters picked without replacement from qqqqqq? 1 Calculate prob of sequence ith when three letters picked without replacement from {t: 1, i: 2, h: 2}. 1/15 Calculate prob of sequence gy when two letters picked without replacement from wrwrryywyrrwrg. 3/182 Three letters picked without replacement from {u: 1, n: 2, k: 2, w: 1, s: 1, q: 2}. What is prob of sequence qsk? 1/126 Two letters picked without replacement from {m: 1, r: 1, p: 1, b: 2, z: 2}. What is prob of sequence br? 1/21 Three letters picked without replacement from {x: 7, u: 5, m: 1}. What is prob of sequence uxu? 35/429 Calculate prob of sequence kz when two letters picked without replacement from zmdmkzkkkdkk. 1/11 Calculate prob of sequence jjw when three letters picked without replacement from {j: 7, y: 1, w: 3, e: 1, i: 4}. 3/80 Three letters picked without replacement from dddkkdkddd. Give prob of sequence dkk. 7/120 What is prob of sequence aokz when four letters picked without replacement from anoyzyk? 1/840 Three letters picked without replacement from ecccecccccc. What is prob of sequence ecc? 8/55 Two letters picked without replacement from kfrrrkkmfjrrrjrrr. What is prob of sequence ff? 1/136 What is prob of sequence tq when two letters picked without replacement from qtqtttqqcjqqqqtqqqqq? 13/76 Three letters picked without replacement from {z: 2, i: 8, h: 1, m: 4, a: 3, l: 2}. What is prob of sequence lmz? 2/855 Three letters picked without replacement from mjyjjjmjjj. What is prob of sequence myj? 7/360 What is prob of sequence la when two letters picked without replacement from {j: 1, a: 2, k: 1, l: 2, y: 1}? 2/21 What is prob of sequence wsi when three letters picked without replacement from wiwsiiiiii? 7/360 Three letters picked without replacement from anbncxoc. What is prob of sequence nob? 1/168 Three letters picked without replacement from {i: 8, r: 3}. Give prob of sequence iii. 56/165 Calculate prob of sequence lkr when three letters picked without replacement from kkreeeleeekrvvlelv. 1/272 Calculate prob of sequence hh when two letters picked without replacement from ahh. 1/3 What is prob of sequence lxl when three letters picked without replacement from lllllxlllllllllllxll? 17/190 Calculate prob of sequence ucrf when four letters picked without replacement from {c: 1, u: 3, p: 3, q: 6, f: 2, r: 4}. 1/3876 Four letters picked without replacement from kzzzlnzliilj. What is prob of sequence jnlk? 1/3960 What is prob of sequence yy when two letters picked without replacement from {t: 7, y: 9}? 3/10 Calculate prob of sequence zhs when three letters picked without replacement from zsyyyyythhzzsz. 2/273 Four letters picked without replacement from {f: 7, r: 4}. Give prob of sequence rrrr. 1/330 Two letters picked without replacement from cimomiccimmlocf. Give prob of sequence lo. 1/105 Calculate prob of sequence gll when three letters picked without replacement from {l: 8, g: 5}. 70/429 Four letters picked without replacement from blllvvlvlvlb. What is prob of sequence lvll? 4/99 Two letters picked without replacement from xzrzzbc. What is prob of sequence br? 1/42 Calculate prob of sequence oe when two letters picked without replacement from oego. 1/6 Calculate prob of sequence bv when two letters picked without replacement from {v: 2, b: 17}. 17/171 Calculate prob of sequence vfu when three letters picked without replacement from {u: 1, v: 1, f: 1}. 1/6 Three letters picked without replacement from tttlltcccttlctwttt. What is prob of sequence cwc? 1/408 Two letters picked without replacement from {n: 1, w: 3, q: 4, s: 1, p: 1, i: 2}. Give prob of sequence wn. 1/44 What is prob of sequence isx when three letters picked without replacement from {i: 3, x: 3, s: 1}? 3/70 Calculate prob of sequence ozo when three letters picked without replacement from {o: 3, z: 2}. 1/5 Calculate prob of sequence brpj when four letters picked without replacement from vbbrpvrbbrvjvb. 5/8008 Three letters picked without replacement from snwqwncmwccwqmms. What is prob of sequence nqw? 1/210 Calculate prob of sequence nn when two letters picked without replacement from vvnnvvvvv. 1/36 Calculate prob of sequence ee when two letters picked without replacement from eeeeee. 1 Calculate prob of sequence tttd when four letters picked without replacement from bdtkbdtdtd. 1/210 Three letters picked without replacement from jjtjjjtj. Give prob of sequence ttj. 1/28 Three letters picked without replacement from kkuwluuukmmu. Give prob of sequence wmm. 1/660 What is prob of sequence do when two letters picked without replacement from {o: 8, d: 2, e: 4, l: 2}? 1/15 What is prob of sequence all when three letters picked without replacement from oaolaoaaoooloo? 1/273 What is prob of sequence yy when two letters picked without replacement from {n: 5, b: 1, y: 4, i: 5}? 2/35 What is prob of sequence vy when two letters picked without replacement from wvvywwwyv? 1/12 Three letters picked without replacement from {d: 11, l: 5}. What is prob of sequence ddl? 55/336 What is prob of sequence jjo when three letters picked without replacement from {n: 2, j: 3, l: 1, o: 4}? 1/30 Three letters picked without replacement from {n: 5, t: 1, h: 1, z: 4, y: 3}. Give prob of sequence yzz. 3/182 Three letters picked without replacement from cmncmnnnnmmccqc. Give prob of sequence ccq. 2/273 Four letters picked without replacement from {y: 3, h: 6, i: 6}. Give prob of sequence hiyy. 3/455 What is prob of sequence bi when two letters picked without replacement from {b: 2, i: 2, k: 11}? 2/105 Calculate prob of sequence azzd when four letters picked without replacement from {z: 2, d: 3, a: 3}. 3/280 Three letters picked without replacement from {v: 7, l: 4}. Give prob of sequence lll. 4/165 Three lett
{ "pile_set_name": "DM Mathematics" }
rue Which is bigger: -2073597 or -2073598? -2073597 Which is bigger: -360 or -209? -209 Is -132232 < -132232? False Which is smaller: 16 or 45825? 16 Which is smaller: 292/2147 or 0? 0 Which is smaller: -13 or 31/26? -13 Is -163569 at most -163568? True Is 1/3 greater than 5108/51? False Which is bigger: 12560 or 12562? 12562 Are 0.07 and 0.08103 unequal? True Which is greater: -90 or 4780? 4780 Is -23731 > -23729? False Is -27814/5 at least -5564? True Which is bigger: 0 or -9/2432? 0 Is -1120893 >= -1120891? False Is -10554 greater than or equal to -27? False Which is greater: 1239911/6 or 206653? 206653 Which is smaller: -21036 or -42073/2? -42073/2 Which is greater: 1 or -642/10799? 1 Which is greater: -75/1063 or 0? 0 Is 2/2718789 at least -1? True Which is smaller: 560 or -0.0644? -0.0644 Which is bigger: -2/119123 or 0? 0 Is -606 != -608? True Is 20 at most as big as -9508? False Are 0.055028 and -1/4 non-equal? True Which is greater: -1 or 1/153848? 1/153848 Which is smaller: -129067 or -129066? -129067 Which is smaller: 20089 or 20092? 20089 Is -1 less than or equal to -9494? False Is -3742 <= -3772? False Which is smaller: 11 or 4214/415? 4214/415 Which is greater: 1/3 or 19529/4? 19529/4 Which is smaller: -33/3578 or -1? -1 Which is smaller: 0 or -3/4429? -3/4429 Is -4 not equal to -26941? True Is 10383 <= 10383? True Which is bigger: 0.08 or -1/4? 0.08 Is 1/2 smaller than 0.07705? False Which is greater: -1 or -2/13353? -2/13353 Is 20775 less than 20775? False Which is smaller: -3033608 or 0? -3033608 Which is bigger: 0 or 6/52009? 6/52009 Is 3/10261 <= 1? True Is -1 greater than or equal to 251623.1? False Which is smaller: 6328 or 6298? 6298 Are 1199010 and 1199010 unequal? False Which is smaller: 567 or 1/483? 1/483 Which is smaller: 10/7 or -3? -3 Which is smaller: -3615175 or -3615176? -3615176 Which is smaller: 125 or 139? 125 Is -23507 >= -23507? True Is 821/10073 less than 0? False Does -53038 = -53037? False Which is greater: 419 or 39746/95? 419 Is 69/6767 > 1? False Is -372/11 at most 2/57? True Is -0.1 != -1344715? True Is 142807 >= 142810? False Which is bigger: 5/103674 or 1? 1 Which is smaller: -1411 or -986? -1411 Which is greater: -22388 or -22365? -22365 Which is greater: 19203/77 or 248? 19203/77 Which is smaller: 8814 or 52883/6? 52883/6 Which is bigger: -1 or -945/577? -1 Is -54349/4 bigger than -13587? False Which is bigger: -338018 or -338015? -338015 Which is bigger: -1 or 224311? 224311 Which is smaller: 2.228 or 1233? 2.228 Which is smaller: 3440 or 3464? 3440 Do -32260 and -32260 have the same value? True Is -62750 greater than or equal to -62753? True Are 238/69 and 2 equal? False Is 1 > 131/7132? True Which is greater: -23050/599 or -38? -38 Is -2/10670591 <= -1? False Is 270/11 at least as big as 20? True Which is bigger: -1626 or -1714? -1626 Which is smaller: 103659 or 310978/3? 103659 Which is smaller: 127 or 154? 127 Is 0 at least as big as -9/10333? True Which is greater: -72 or 262/57? 262/57 Is 0.01358 smaller than 20? True Which is bigger: -2/3 or 186.5846? 186.5846 Is -226478 greater than -226478? False Is -95 greater than or equal to -0.144? False Do 52/15109 and 1 have the same value? False Which is bigger: -206298 or -206293? -206293 Is -4/21023 less than 0.4? True Which is smaller: 2/5 or -90441? -90441 Which is smaller: -0.0271 or -13/27? -13/27 Which is bigger: -48486/397 or -121? -121 Which is smaller: 22 or -22.1? -22.1 Which is bigger: -57174/757 or -77? -57174/757 Is -2/1028957 bigger than 1? False Does -25 = -9793? False Which is smaller: 21389 or 21388? 21388 Is 3363/26 bigger than 129? True Is 29568 greater than 29568? False Which is smaller: -1 or -4/2847047? -1 Is 5453 less than 21809/4? False Which is smaller: 3503 or 3814? 3503 Do -2686162 and -2686162 have the same value? True Which is bigger: -1/15281458 or -1? -1/15281458 Is -16/367 less than 1? True Is -1 equal to -445/6219? False Is 109/1119 <= -1? False Which is greater: 418170 or 418169? 418170 Which is smaller: -1499 or -1465? -1499 Which is smaller: 739 or 751? 739 Is 1865 > 1869? False Which is greater: 1187740 or 1187739? 1187740 Is 3248/69 equal to 47? False Do 44025 and -0.1 have the same value? False Which is greater: -30031 or -30039? -30031 Is 20697 >= -0.1? True Is 1 greater than or equal to 162/36485? True Is -133/5 <= -26? True Which is bigger: 5/15507 or 0? 5/15507 Which is smaller: 27/56551 or 1? 27/56551 Which is bigger: -1203357 or 2/5? 2/5 Which is smaller: 17/4 or 752? 17/4 Is 823 at least as big as 813? True Which is bigger: 6872 or 6603? 6872 Does 325229 = 325233? False Which is smaller: 4560 or -1.16? -1.16 Is -25/7938 less than -1? False Is 209 greater than 495? False Which is smaller: -140063 or -140064? -140064 Which is greater: -31/833 or 1? 1 Which is smaller: 422997 or 423004? 422997 Which is greater: 0.2 or -12204? 0.2 Is 1296 greater than -1.1? True Is 16990 less than 17004? True Is -2 at least as big as -604/247? True Which is smaller: 1226820/31 or 39575? 1226820/31 Which is greater: 164 or 1? 164 Which is smaller: 0 or -57/2897? -57/2897 Is 22249 smaller than 22248? False Which is smaller: 39902 or 39906? 39902 Which is greater: 1 or 25/7316? 1 Is 1 < -173/1543? False Which is bigger: -2 or -66317? -2 Is -3330 at most 3? True Which is smaller: 4756/13 or 365? 365 Is 16994 greater than 16994? False Is 0.71 less than -12.2? False Which is smaller: -487426 or 4/5? -487426 Is 12888 at least 12960? False Which is smaller: 48147 or 48148? 48147 Which is greater: -6779673 or -2? -2 Which is smaller: -1 or 7/110? -1 Do 44144 and 44137 have the same value? False Do 11 and 40/197 have the same value? False Are -1 and 5/821808 non-equal? True Are 82419/2 and 1 unequal? True Which is smaller: -15 or -2520/163? -2520/163 Does 0 = 5/24051? False Are 33805 and 33804 unequal? True Is -4252 less than -3043? True Is -3883 > -3889? True Are -4519 and 3/7 equal? False Is -32182 != -32183? True Is 210483/5 > 1? True Is -54/7 at least 49826? False Are 18 and 3312/197 unequal? True Which is bigger: 1762 or 104018/59? 104018/59 Which is smaller: 3 or -23465? -23465 Which is smaller: 659459 or 659458? 659458 Which is greater: -13798 or 6? 6 Which is smaller: -14578 or 51? -14578 Which is smaller: 802/133 or -0.08? -0.08 Which is smaller: -21/340 or 2? -21/340 Which is greater: 319 or 58? 319 Which is greater: 7 or -1116? 7 Which is smaller: 0.05 or 0.194505? 0.05 Which is greater: 86605 or 86613? 86613 Is -2886 at most as big as 1.31? True Which is greater: -40 or 1/332? 1/332 Is 1603 greater than 1834? False Is 712702 smaller than 712703? True Do 97.2 and 12.53 have the same value? False Is 23081 != 23090? True Is -3 < -323/158? True Is 998/2339 >= 0? True Which is smaller: 4663/6 or 778? 4663/6 Which is smaller: 1/102797 or 1? 1/102797 Which is smaller: -6/211363 or 0? -6/211363 Which is smaller: -17/5273 or 1? -17/5273 Which is smaller: -1 or -2/10491203? -1 Is 25 at least as big as -1896? True Which is greater: 19675 or 2? 19675 Does 2/3 = 2144/11? False Is 488/559 less than 1? True Which is bigger: 21231 or 12/37? 21231 Do 4/289201 and 0 have the same value? False Are -6.4 and 12.1 non-equal? True Which is greater: 30218 or 30214? 30218 Do 2712 and 2711 have the same value? False Which is smaller: 238/97 or 3? 238/97 Which is bigger: -482/5 or -104? -482/5 Which is greater: 5/189927 or -1? 5/189927 Do -0.5249 and 1/24 have the same value? False Which is greater: -0.040482 or -16/7? -0.040482 Which is smaller: -1/38 or 0.603? -1/38 Which is greater: 105989 or 529951/5? 529951/5 Which is bigger: -4 or -188750? -4 Is 0.36 smaller than 17675? True Which is smaller: -1444967 or 1? -1444967 Is 1/63593 at least as big as 4? False Does -121 = -2407? False Is 69 < -14? False Is -233 greater than -0.2915? False Which is bigger: 1/465256 or 4? 4 Which is smaller: -1 or -22/645499? -1 Do 0.081 and 712 have the same value? False Which is greater: 2698/9 or -7? 2698/9 Which is smaller: -1/3 or 40716? -1/3 Which is bigger: -0.1 or 63287? 63287 Is -11360/17 less than -668? True Which is greater: 268584/7 or 38368? 268584/7 Which is smaller: -3/10 or 0.11571? -3/10 Which is bigger: 3/172163 or 0? 3/172163 Which is bigge
{ "pile_set_name": "DM Mathematics" }
x(i) = 0. What is i? 0, 2 Let h(a) be the third derivative of a**8/2240 + a**7/840 + a**4/12 - a**2. Let j(i) be the second derivative of h(i). Solve j(g) = 0. -1, 0 Let j(t) be the third derivative of 13*t**2 - 1/600*t**5 - 3/5*t**3 + 0 + 0*t - 1/20*t**4. Factor j(f). -(f + 6)**2/10 Let b(u) = -17*u**5 + 17*u**4 + 20*u**3 + 7. Let v(n) = 10*n**3 + 6 - 2 + 12*n**4 - 3*n**4 - 9*n**5. Let p(s) = -4*b(s) + 7*v(s). Factor p(i). 5*i**3*(i - 2)*(i + 1) Suppose 1186*a**2 - 12*a - 2*a**3 - 2397*a**2 + 1201*a**2 = 0. Calculate a. -3, -2, 0 Suppose 5*k - 17 = -4*c, 2*k - 10 = -5*c + 7. Factor 0*j**4 - 2/11*j**5 + 0 + 0*j**2 + 4/11*j**c - 2/11*j. -2*j*(j - 1)**2*(j + 1)**2/11 Let o(s) be the first derivative of -3*s + 0*s**3 + 0*s**2 + 1/33*s**4 - 3 + 1/22*s**5. Let w(b) be the first derivative of o(b). Factor w(d). 2*d**2*(5*d + 2)/11 Determine n so that 296/5 - 8/5*n**5 + 124*n**4 + 2684/5*n**2 - 1484/5*n - 2108/5*n**3 = 0. 1/2, 1, 74 What is j in -168*j**3 + 1984*j + 74*j**4 - 961 - 75*j**4 + 232*j**3 - 1086*j**2 = 0? 1, 31 Suppose 3*g - l - 41 = 94, 226 = 5*g - 2*l. Suppose 3*d = -2 + g. Solve -184*m**2 - 10*m + 24*m**3 - 9*m**4 - d*m + 181*m**2 + 12 = 0. -1, 2/3, 1, 2 Let i(r) = -2*r**3 + 1. Let p(w) = 7*w**3 + 20*w**2 + w - 24. Let c(g) = 12*i(g) + 3*p(g). Factor c(h). -3*(h - 20)*(h - 1)*(h + 1) Let d be -3*1 + 23 + -10. Suppose 3*r - 20 = d. Factor -12*z**4 - 16*z**2 - 5 - 3*z**4 - r*z**3 + 15*z**2 + 10*z**5 + 21*z**2. 5*(z - 1)**3*(z + 1)*(2*z + 1) Let x = 14 - 9. Factor 2*m**4 - 7*m**4 + 2*m**x + 11*m**4. 2*m**4*(m + 3) Let i = -1634/3 + 545. Let i*j - 1/3*j**3 - j**2 + 1 = 0. Calculate j. -3, -1, 1 Factor f**3 - 3463 - 36*f**2 + 3463 - 59*f**2. f**2*(f - 95) Let u be 1506/18 - (-2 - (-24)/9). Let a = u + -81. Factor 1/2*t**3 - t**4 + 0*t**a + 0 + 0*t + 1/2*t**5. t**3*(t - 1)**2/2 Let z(a) = 9*a**2 - 20*a + 22. Let t(w) = -8*w**2 + 19*w - 21. Let h(q) = 7*t(q) + 6*z(q). Let k be h(5). Let k - 14/5*u**3 + 4/5*u**2 + 0*u = 0. Calculate u. 0, 2/7 Suppose 9*t**2 + 4*t**3 - 20*t**5 - t**2 - 18*t**3 - 38*t**4 + 6*t**5 - 2*t**3 = 0. What is t? -2, -1, 0, 2/7 Suppose -20*n + 17*n = 240. Let c = n + 82. Factor -1/4*m**c - 1/4*m + 0. -m*(m + 1)/4 Let f(y) = -y**2 + 16*y - 58. Suppose 2*n = -3*i + 28, 4*i + 3*n = i + 27. Let c be f(i). Solve 0 - 4/9*j + 14/9*j**c = 0. 0, 2/7 Let l be (6 - 690/(-24)) + 2/8. Factor -l*u**2 + 1 + 2*u - u**4 - 40*u**2 + 75*u**2 - 2*u**3. -(u - 1)*(u + 1)**3 Factor -824/5*t - 8/5 - 21218/5*t**2. -2*(103*t + 2)**2/5 Let c(s) = 2*s**4 - s**3 - s**2 - 2*s - 1. Let d(h) = 4*h**4 - 72*h**3 + 656*h**2 - 976*h - 404. Let i(g) = 8*c(g) - d(g). Let i(f) = 0. Calculate f. -11, -1/3, 3 Let t(q) be the third derivative of q**5/300 - q**4/60 + q**3/30 + 10*q**2 + 2*q. Factor t(d). (d - 1)**2/5 Let s be 28/10 + (-28)/35. Suppose 0*r + 1/4*r**4 - 1/4*r**s + 1/4*r**5 - 1/4*r**3 + 0 = 0. What is r? -1, 0, 1 Let s(q) be the first derivative of q**5/20 - q**4/16 - 5*q**3/12 - 3*q**2/8 - 30. Let s(h) = 0. Calculate h. -1, 0, 3 Suppose 2*d = j + 40, 0*d - 2*j + 100 = 5*d. Let p = -6 + d. Determine z so that -5*z**2 - p*z**2 + 4*z + z**2 = 0. 0, 2/9 Let d(w) be the first derivative of -1/27*w**6 - 4/9*w**2 - 4/15*w**5 + 0*w - 13/18*w**4 - 3 - 8/9*w**3. Factor d(s). -2*s*(s + 1)**2*(s + 2)**2/9 Let f(z) = -2*z**3 - 17*z**2 - 10*z - 14. Let u be f(-8). Suppose -a = -3, -7 = o - 3*a + 2. Let -1/3*m**u + o + m = 0. Calculate m. 0, 3 Let b be (-6)/(-84) + (721/21)/(196/21). Let b*u - 12*u**2 + 3*u**3 + 75/4 = 0. What is u? -1, 5/2 Let g(m) = -3 + 8*m**2 + 54*m - 47 - 5*m**2 + 7*m**2. Let i(q) = 2*q**2 + 11*q - 10. Let b(w) = 6*g(w) - 28*i(w). Factor b(p). 4*(p - 1)*(p + 5) Let i(p) be the second derivative of -2*p**4/3 + 25*p**3/3 + 29*p**2 + 10*p - 1. What is b in i(b) = 0? -1, 29/4 Let f(d) = d. Let l(q) = q**3 - 12*q**2 - 12*q - 11. Let a be l(13). Let r be f(a). Factor -6*c**r - 12 - 7 - 2*c**3 + 17 - 6*c. -2*(c + 1)**3 Let t(s) be the first derivative of 10*s**7/21 + s**6/2 - 9*s**5/4 + 5*s**4/6 - s + 13. Let x(v) be the first derivative of t(v). Solve x(p) = 0. -2, 0, 1/4, 1 Suppose -8*w = -4*w - 8. Let u be (w - -1)/((-6)/(-12)). Suppose -3*f**5 + 7*f - 6*f**4 + 8*f + 5*f + u*f**2 - 17*f = 0. What is f? -1, 0, 1 Suppose 4*r - 11 = d + 21, 0 = -2*r + d + 18. Suppose 30 = r*n - n. Factor 6*g - 2*g + n - 2*g**2 + 3 - g**3. -(g - 2)*(g + 2)**2 Suppose -3774 = -11*r - 3752. Factor 0 + 1/3*s**r + 0*s. s**2/3 Let y = 141 - 125. Let v(g) = 12*g**3 - 12*g + 16. Let p(j) = j**2 - j + 1. Let m(s) = y*p(s) - v(s). Factor m(x). -4*x*(x - 1)*(3*x - 1) Let k(g) = -2*g**2. Let j(h) = 22*h**2 + 596*h + 44402. Let y(r) = -2*j(r) - 20*k(r). Factor y(m). -4*(m + 149)**2 Let l be (-15 - -10) + (-6)/(-1). Let x(m) be the first derivative of -4/5*m + l + 1/5*m**2 + 2/15*m**3. Factor x(u). 2*(u - 1)*(u + 2)/5 Let j(y) be the first derivative of 5*y**4/12 + 20*y**3/3 + 30*y**2 - 26*y + 20. Let k(x) be the first derivative of j(x). Factor k(i). 5*(i + 2)*(i + 6) Determine h so that -12*h**2 + 146*h**4 - 12*h**3 + 0*h**3 - 150*h**4 - 4*h = 0. -1, 0 Let i(a) be the third derivative of -a**6/200 - 201*a**5/100 - 13467*a**4/40 - 300763*a**3/10 + 43*a**2 + 2. Factor i(k). -3*(k + 67)**3/5 Suppose 0 = 5*w - 2*w + 4*n - 556, -3*n + 12 = 0. Let p be 1/15*w/54. Find b such that 4/9*b + 0 - 2/3*b**2 + p*b**4 + 0*b**3 = 0. -2, 0, 1 Let w(z) be the second derivative of -z**5/20 + 5*z**4/84 + 8*z**3/21 + 2*z**2/7 + 114*z. Let w(v) = 0. What is v? -1, -2/7, 2 Let w(r) = r**4 + 24*r**3 + 108*r**2 - 4*r. Let f(s) = s**4 + 23*s**3 + 106*s**2 - 3*s. Let j(a) = -4*f(a) + 3*w(a). Let j(z) = 0. What is z? -10, 0 Suppose 6 + 45/8*r - 3/8*r**2 = 0. What is r? -1, 16 Factor 42*s + 51/2*s**2 + 18 + 9/2*s**3. 3*(s + 2)*(s + 3)*(3*s + 2)/2 Suppose 2*w - 8 = -3*a, 3 = -a + 4*w + w. Let h(n) be the third derivative of -1/15*n**5 + 1/3*n**4 + 0*n + 0 + 2*n**2 + a*n**3. Factor h(j). -4*(j - 3)*(j + 1) Let m(t) be the first derivative of -1/4*t**4 + 1/15*t**5 + 1/3*t**3 + 1 + 0*t - 1/6*t**2. Factor m(r). r*(r - 1)**3/3 Let s(w) be the first derivative of -10/3*w**2 - 20/3*w**3 - 57 - 15/4*w**4 + 0*w. Factor s(x). -5*x*(3*x + 2)**2/3 Let x(y) be the first derivative of 0*y + 26 + 1/15*y**3 - 1/4*y**4 + 2/25*y**5 + 1/5*y**2. Factor x(l). l*(l - 2)*(l - 1)*(2*l + 1)/5 Let w(f) = 4*f**3 + 1. Let j be w(1). Suppose 3 = j*v + 28, 4*r = v + 17. Factor -4 - 4*z**3 - 14*z + 11*z**3 + 7*z**r + 4*z**2 + 0*z**3. 2*(z - 1)*(z + 1)*(7*z + 2) Let v = 144/101 + 7738/1515. Factor 8/5*b - 2/15 - 44/15*b**2 - 56/5*b**3 - v*b**4. -2*(b + 1)**2*(7*b - 1)**2/15 Let u(v) = 5*v**3 - 4*v**2 - 19*v - 10. Let t be u(6). Factor t*m**5 - 5*m + 10 - 787*m**5 - 3*m**3 + 40*m**4 - 50*m**2 - 17*m**3. 5*(m - 1)*(m + 1)**3*(5*m - 2) Let f = 11018 + -43667/4. Let j(n) be the first derivative of -3 + f*n**4 + 39*n**3 - 12*n - 24*n**2. Suppose j(b) = 0. What is b? -2/5, -2/9, 1/3 Let i(r) be the third derivative of r**6/24 + 5*r**5/12 + 5*r**4/8 - 15*r**3/2 + 27*r**2 - 8*r. Factor i(z). 5*(z - 1)*(z + 3)**2 Let p = -13769/15 + 918. Let b(j) be the second derivative of 0*j**3 + 1/3*j**4 - p*j**6 + 0 + 7*j + 0*j**5 - j**2. Let b(t) = 0. What is t? -1, 1 Factor 178 + 177 - 3*r**2 + 3*r - 349. -3*(r - 2)*(r + 1) Let n(s) = 11*s**3 - 6*s + 4. Let d(l) = 52*l**3 - 30*l + 20. Let r(x) = -6*d(x) + 28*n(x). Let r(b) = 0. What is b? -2, 1 Let m(w) be the third derivative of w**7/735 - 3*w**6/140 + w**5/70 + 37*w**4/84 + 8*w**3/7 - 359*w**2. Factor m(j). 2*(j - 8)*(j - 3)*(j + 1)**2/7 Let b(z) = -885*z**2 + 1600*z + 220. Suppose 8*m - 15 = 3*m. Let h(t) = 68*t**2 - 123*t - 17. Let g(y) = m*b(y) + 40*h(y). Solve g(d) = 0. -2/13, 2 Suppose -259*u + 88*u**3 - 87*u**3 + 38*u**2 - 800 + 579*u = 0. Calculate u. -20, 2 Let z(m) = -m**4 - 2*m**3 - 2. Let c(d) = 16*d**4 - 4*d**3 + 48*d**2 + 24. Let l(w) = -c(w) - 12*z(w). What is i in l(i) = 0? 0, 3, 4 Let t = -182 - -182. Let k(h) be the third derivative of t + 1/480*h**6 + 0*h - 1/96*h**4 + 6*h**2 - 1/24*h**3 + 1/240*h**5. Determine a, given that k(a) = 0. -1, 1 Let w(s) be the second derivative of 0 + 2/3*s**3 - 7*s + 1/12*s**4 + 3/2*s**2. Solve w(m) = 0 for m. -3, -1 Let j(o) = -1. Let v(g) = -5*g**2 - 445*g - 875. Let m(d) = 5*j(d) - v(d). What is t in m(t) = 0? -87, -2 Let s(j) be the first derivati
{ "pile_set_name": "DM Mathematics" }
232*q**4 - 479*q**4 + 608*q - 13*q**3 - 4 + 225*q**4 + 4 wrt q. -264*q**2 - 78*q Suppose -42 = -5*c - 2*c. Suppose c*y + 3*y = 18. What is the third derivative of 147*z + 9*z**y - 147*z - z**2 - 9*z**4 wrt z? -216*z Let x(v) = 9*v**2 - 2*v + 2. Let r(g) = 387*g**2 - 11*g + 16. Let m(d) = r(d) - 2*x(d). Differentiate m(z) wrt z. 738*z - 7 Let q = 158 + -156. What is the second derivative of q*c + 22*c**2 - 34*c**2 + 3*c + 49*c**2 wrt c? 74 Suppose -i - i + 1 = -5*c, -2*i - 2*c = -8. Let t be (322/(-21))/((-2)/i). Find the third derivative of 4*p**2 + 3*p**2 + 15*p**2 + t*p**3 wrt p. 138 Find the second derivative of 17922*i**2 - 128*i - 17922*i**2 - 6437*i**3 + 1246*i**3 - 181*i wrt i. -31146*i Let w(g) be the second derivative of -16*g**7/21 - g**5/5 - 352*g**3/3 + 2350*g. What is the second derivative of w(j) wrt j? -640*j**3 - 24*j Let u(i) = -19*i**3 - 2*i**2 + 2*i. Let o be u(-2). Let r be o/30 - (-2)/(-3). What is the third derivative of 27*b**4 - b**2 + 11*b**2 - 17*b**r wrt b? 240*b Let o(u) = 3225*u**2 - 3*u + 1976. Let f(i) = 3225*i**2 - 2*i + 1908. Let g(z) = 3*f(z) - 2*o(z). Differentiate g(j) wrt j. 6450*j Let r(k) = 115*k**2 + 14*k - 17. Let f be r(-8). What is the second derivative of 5*o**2 - 6*o - f + 219*o**2 + 7232 wrt o? 448 What is the third derivative of -32 + 66*t**2 - 5301*t**3 - 29*t**2 + 11 - 6 + 2 wrt t? -31806 Let l = 39 - 41. Let d be (10 - 9)/((-1)/l*1). What is the third derivative of -9*y**3 - d*y**3 + 53*y**2 - 50*y**2 wrt y? -66 Let b(t) be the first derivative of 19*t**5 - t**3 - 3*t**2/2 + 185*t - 2008. What is the second derivative of b(y) wrt y? 1140*y**2 - 6 Let v(b) be the first derivative of 789*b**4/4 + b**3/3 + 1581*b**2/2 - 721. What is the third derivative of v(h) wrt h? 4734 Find the second derivative of 1312 - 1312 - 1088*i - 1449*i - 806*i**4 wrt i. -9672*i**2 Let a(n) = -12385*n**2 + 20*n - 7201. Let q(o) = 6190*o**2 - 8*o + 3600. Let i(l) = -2*a(l) - 5*q(l). Find the first derivative of i(h) wrt h. -12360*h Let i = 377 + -359. Suppose 4*g = 3*c + 8, g + 3*g - 24 = -c. What is the second derivative of 14*q - 2*q**g - 48*q + i*q**5 wrt q? 320*q**3 Suppose n + 3*k - 16 = 63, 3*n - 222 = -4*k. Let q be ((-3)/(-5))/(21/n). What is the third derivative of q*d**6 + 19*d**3 - 7*d**2 - 19*d**3 wrt d? 240*d**3 Let o(g) be the second derivative of 2074*g**7/21 - 15*g**4/4 - 13*g**2/2 + 3426*g. Find the third derivative of o(d) wrt d. 248880*d**2 Find the first derivative of 0*f**2 + 20030*f**3 + 0*f**2 - 1165 - 16242*f**3 wrt f. 11364*f**2 Let a(v) = 12*v**3 + 564*v**2 + 2*v - 1549. Let o(i) = -7*i**3 - 282*i**2 - i + 774. Let k(x) = -5*a(x) - 9*o(x). What is the second derivative of k(g) wrt g? 18*g - 564 Let q(v) be the first derivative of -242*v**3 + 905*v - 3058. Differentiate q(k) wrt k. -1452*k Differentiate 49 - 4147 - 9993*a + 5355*a - 5675*a with respect to a. -10313 Let h be 2*(-1)/(-3) - (-70)/3. What is the first derivative of 2 - 8 + 124*i - h + 8 + 5 wrt i? 124 What is the derivative of -1581*i**3 + 5*i**2 - 10*i**2 + 794 - 3*i**2 + 8*i**2 wrt i? -4743*i**2 Suppose -2*h = h - 747. Let i be 7/(190/(-76) + (6 - 0)). Find the third derivative of 9*q**6 + h*q**3 - 19*q**i - 249*q**3 - q**6 wrt q. 960*q**3 Suppose z + 3*i = 47, 120 = 3*z - 0*i + 2*i. Find the third derivative of 91*x**6 - 79*x**2 + 100*x**6 - 42*x**2 - z*x**2 wrt x. 22920*x**3 Let h(j) = -j + 7. Let m be h(-6). Let k = m + -8. Find the second derivative of -k*x**3 + 7*x + 30 - 8*x - 30 wrt x. -30*x Suppose 2*n - 5*k - 19 = 0, 3*n - 16 - 1 = -4*k. What is the first derivative of 56 - n + 62 + 30*x - 144*x wrt x? -114 Let j(k) = -7640*k**2 + 2180*k. Let i(r) = -12*r**2 + r. Let l(m) = -12*i(m) + j(m). What is the second derivative of l(x) wrt x? -14992 Find the second derivative of 7 - 162*d**3 - 295*d - 7*d**2 + 589*d**3 + 62*d - 4*d - 1 wrt d. 2562*d - 14 Let b = 181 + -165. Differentiate 6*n + b*n + 47 - 116 - 25*n with respect to n. -3 Let y be ((-32)/8)/((-4)/10). Find the second derivative of -221 + 221 + 10*v - y*v**2 + 38*v wrt v. -20 Let r(a) be the second derivative of 1 + 1/2*a**2 + 0*a**5 + 59/30*a**6 + 2/3*a**4 - 53*a + 0*a**3. What is the third derivative of r(x) wrt x? 1416*x Let g(s) be the third derivative of 118/105*s**7 + 16*s**3 - 90*s**2 + 0*s + 0*s**4 + 0 + 0*s**6 + 0*s**5. What is the derivative of g(w) wrt w? 944*w**3 Let y(i) be the second derivative of 7475*i**4/12 - 5861*i**3/3 - 45*i - 3. Find the second derivative of y(j) wrt j. 14950 Let g be 8/(32/252) - 6. What is the derivative of 92*q - g*q + 49*q + 56*q - 102 wrt q? 140 Let n(t) be the third derivative of 3*t**7/70 - t**5/5 - 1369*t**4/12 + 4372*t**2. What is the second derivative of n(g) wrt g? 108*g**2 - 24 Suppose 3*w = -4*c + 17, 5*c - 2*w = 3 + 1. What is the third derivative of -5*f + 3*f**6 - 12893*f**c + f**6 + f**3 + 12909*f**2 wrt f? 480*f**3 + 6 Let l be 40/12*(-240)/(-25). Differentiate 11*b + 16*b + 50 - 209 + 11*b - l*b with respect to b. 6 Let g(i) be the second derivative of 0*i**5 + 73/6*i**4 - 1/56*i**8 + 0*i**3 + 0*i**6 + 40 + 2/7*i**7 + 2*i + 0*i**2. Find the third derivative of g(s) wrt s. -120*s**3 + 720*s**2 Let n(m) be the third derivative of -59*m**5/10 - 235*m**4/12 - 534*m**2. What is the second derivative of n(g) wrt g? -708 Let n(z) be the second derivative of -1/12*z**4 - 6*z + 45/2*z**2 - 3/2*z**3 - 5. What is the first derivative of n(y) wrt y? -2*y - 9 Let y be (-5)/90*4 + 2/9. Let d(n) be the first derivative of 8/3*n**3 - 11 + 0*n - 3/2*n**4 + y*n**2. Find the third derivative of d(u) wrt u. -36 Let d be (-32)/112 - (-18)/14. Let w be ((-12)/12)/(d/(-5)). What is the third derivative of 17*m**w + 0 - 101*m**2 + 87*m**2 + 0 wrt m? 1020*m**2 Suppose z - 7 + 74 = 0. Let i = z - -73. Find the third derivative of i*m**4 - 10*m**2 - 1 + 19*m**2 + 1 wrt m. 144*m Let u be (0/(-69))/((-5)/1). Let i(y) be the first derivative of -4*y**2 - 14 + 0*y - 18/5*y**5 + 0*y**4 + u*y**3. What is the second derivative of i(n) wrt n? -216*n**2 Suppose -5*y + 3*w + 10 = 0, -4*w + w = -4*y + 5. Suppose -l - 4 = 0, j + l - 19 = y. What is the first derivative of j + t**3 - t**3 + 4*t**3 + 1 wrt t? 12*t**2 Let h(m) = 63*m**2 + 12*m - 1. Let c(b) = -30 + 15 - 14*b - 64*b**2 + 16. Let j(d) = 4*c(d) + 5*h(d). Find the second derivative of j(i) wrt i. 118 Let a be 36*15/10*1/(-3). Let q = 20 + a. Find the first derivative of -16*g**q + 9*g**2 - 5 + 17*g**2 wrt g. 20*g Let l(b) be the second derivative of -4*b + 12 + 143/6*b**3 - 83/2*b**2. What is the first derivative of l(c) wrt c? 143 Let x(c) = 1925*c**2 - 24*c - 392. Let u(m) = -1926*m**2 + 19*m + 393. Let r(p) = 5*u(p) + 4*x(p). Differentiate r(o) wrt o. -3860*o - 1 Suppose -3 - 15 = -m. Let o(r) = 212*r - 11445. Let h be o(54). What is the second derivative of -13*x + m*x**3 + 11*x**h - 18*x wrt x? 174*x Let f(i) = -64*i**2 + 17*i + 193. Let q(u) = -68 + 4 - u - 5*u + 32*u**2 - 11*u**2. Let t(a) = -6*f(a) - 17*q(a). Differentiate t(k) with respect to k. 54*k Let q be (-4)/(-1) - 6 - -5. Find the second derivative of 20*d**q - 2*d**5 - 2*d + 19*d**3 - 2 - 40*d**3 - 13 wrt d. -40*d**3 - 6*d Let y(v) be the second derivative of 0*v**2 - 1/30*v**6 - 19/20*v**5 + 1/2*v**3 - 49*v + 0 + 0*v**4. What is the second derivative of y(j) wrt j? -12*j**2 - 114*j What is the derivative of -167 + 594 + 7069720*m**3 - 7068207*m**3 wrt m? 4539*m**2 Suppose 135*o + 34 = 136*o. What is the third derivative of -23*h**4 + 0*h**2 + o*h**4 - 65*h**2 + 32*h**4 wrt h? 1032*h Let o = 5031/173635 + -2/4961. Let g(m) be the third derivative of 0*m + 0*m**4 + 0*m**5 + 9*m**2 + 0*m**6 + 0 + m**3 + o*m**7. Differentiate g(x) wrt x. 24*x**3 Let b(o) = -2*o**2 + 30*o + 13. Let d be b(15). Find the second derivative of -52*i - 23*i**2 - 13*i - 11*i + d*i wrt i. -46 Let j(f) be the third derivative of f**8/28 + 8*f**7/21 + f**5/12 - f**4/6 - f**3/3 - 2657*f**2. What is the third derivative of j(p) wrt p? 720*p**2 + 1920*p Suppose 149 = 12*y - 11*y. What is the derivative of -w**2 - 69*w**2 - 67 + 17 + y wrt w? -140*w Let h = 15 + -13. Suppose 2*a - 2*m = 20, -a + 8 + 2 = -h*m. Find the second derivative of -2*x**2 - 13*x - 4*x - a*x**2 + 4*x wrt x. -24 Let u(k) be the first derivative of 5549*k**6/6 - k**3 + 651*k -
{ "pile_set_name": "DM Mathematics" }
east common multiple of 49 and 7070. 49490 Find the common denominator of 35/72 and 107/48. 144 What is the common denominator of -8/39 and -31/52? 156 What is the smallest common multiple of 750 and 270? 6750 Calculate the common denominator of 95/632 and 56/711. 5688
{ "pile_set_name": "DM Mathematics" }
*a - 21, 0 = -x*a - 3*a - 3*r - 3 for a. -4 Let g = -134 - -78. Let p = g + 60. Solve 3*b + 22 = b + 4*h, 0 = -3*b - p*h + 7 for b. -3 Suppose -5*h = -4*b - 28, -8*h + 13*h + 4*b = 12. Solve -2*u + 3*a - 3 = 3, -9 = 3*u + h*a for u. -3 Let s(a) = a. Let q be s(4). Let n be -4*((-15)/q + 1). Let h = 14 - n. Solve 0 = 5*b + 2*x - 0 - h, b + 4*x - 15 = 0 for b. -1 Let d = -5 - -9. Suppose -d*l + 55 = -3*g, -l + 4*g + 70 = 4*l. Let y = 15 - l. Solve s - 2*z = -0 - 1, -y*s = 4*z - 23 for s. 3 Suppose w = -230 + 235. Solve -u + 2*u = -a, w*a + 8 = -3*u for a. -4 Let l = 57 - 55. Let j be ((-3)/6)/(l/(-40)). Solve -c - 4*m + 35 = 2*c, -m + j = c for c. 5 Suppose -4*m + 0 = 8. Let v(p) = p**2 - p - 2. Let w be v(m). Let n(q) = q**2 - 1. Let d be n(2). Solve 5*t + 5*r + 1 = -w, d*t = r - 15 for t. -4 Suppose 0 = 5*n - 2*j - 9 - 12, -5*n + 15 = -5*j. Solve 5 = -n*t - y, -3*y = 4*t - 0*y + 15 for t. 0 Let j = 772 - 764. Solve -2*b + 2*q + j = 0, 0 = 4*b - 2*b - q - 9 for b. 5 Let g = 54 - 51. Let d be 2 - (2 - (4 + -1 - g)). Solve -y - 1 + 9 = -3*u, -2*u - 2 = d for y. 5 Suppose -2*j + y = 0, -4*y + 5*y = -j + 6. Suppose -v - 8 = -j*k, -k - 2*k = v - 7. Solve 3*l - k = -5*x - 10, 0 = -5*x - 5*l - 5 for x. -2 Let r = 4 - 13. Let w be 6/r + 16/6. Suppose -f + 15 = w*f. Solve h - 4*b + 13 = 0, -3*h + 2*b + 6 = f*b for h. -1 Let a = -4 - -10. Let k = a - -2. Let n = 15 + k. Solve 3*b + 0*m = 2*m + 13, 5*b = 4*m + n for b. 3 Let p be -3 + ((-5)/(15/(-6)) - -4). Solve -4*o + 5*b + 39 = 13, -3*b - 18 = -p*o for o. 4 Suppose 0 = -o - 3*o + 120. Let h be ((-10)/4)/(-2 - (-55)/o). Solve 0 = 3*q - 3*n + 6, -5*n + h = 0 for q. 1 Suppose b - 2*k = -9, 0*b + 4*k - 21 = -b. Let g be b + 10*2/4. Suppose 10 = 8*o - 3*o. Solve -h = -y + h - g, h = o*y - 3 for y. 4 Let c be 3/(-6)*1*28. Let f = 3 - c. Suppose f = 4*w - 3. Solve -4*q - 20 = -2*a, 3*q + 2*q + 10 = -w*a for q. -4 Let z be 26/143 - (-26)/(-22). Let x be 38/8 + z + 6/24. Solve -x*c + 4 = 3*j, -j + 0*c - c = -2 for j. 4 Suppose 0 = 11*z + 10*z - 20*z. Suppose z = x + 19 - 22. Solve 0 = 2*a, -3*b + b + x*a = 8 for b. -4 Let c = 1169 - 1162. Solve n - 1 + 2 = -3*t, 0 = 2*n + t + c for n. -4 Let w = 48 + -48. Suppose w = 6*s - 3*s - 4*x - 38, -5 = -5*x. Solve 4*q - 1 = -2*p - q, 2*q = 4*p - s for p. 3 Let h(s) = -s**2 + 7*s. Let o be h(8). Let m(v) = -v**2 - 7*v + 8. Let z be m(o). Solve -5*u = -4*d - 3, 3*d + u - 8 - 4 = z for d. 3 Suppose -4*a + 225 = -5*p - 0*p, -5*a + 297 = -p. Suppose r + 5*h = 6, 4*r + h + h = a. Solve 0*o - 4*l - 7 = 5*o, r = o - 5*l for o. 1 Let z(s) = s + 9. Let f be z(-7). Suppose -f*v + 3*r - 4 = -r, 31 = 2*v + 3*r. Suppose -12*j + 8*j = -v. Solve 0 = -3*k - 1 - j, 2 = -c - 3*k for c. 1 Suppose 2*o = 2*a - 2, -10 = 4*o - 5*a - 3. Let w(q) = 2*q**2 - 24*q - 378. Let l be w(21). Solve l*t + 16 = 3*t - 5*u, 0 = 5*t + o*u + 25 for t. -3 Suppose -6*j = -2*j + 72. Let i = j + 21. Solve -i*a = a + 4*f + 40, -4*f = -3*a + 5 for a. -5 Let v(b) = 2*b**3 + 7*b - 7. Let q be v(1). Solve -q*j = y - 3*j + 3, -2*y - j - 9 = 0 for y. -4 Let n be 2/(0 + -1 + 3). Let s = 4 - n. Suppose 2*o - 9 = -s. Solve 0 = -o*w + 3*v, -2*v = 3*v + 10 for w. -2 Suppose 44 = y - 21. Let g = y - 63. Solve -n = 2*j - g, -5*j + 3 = 6*n - 4*n for j. -1 Let v be (44/10 - 5) + 23/5. Solve 3*z + 2 = q + 19, -v*q - 32 = -3*z for q. -5 Let q = -330 + 330. Solve g - 8 = -2*l, -5*g - 3 + 13 = q for l. 3 Let b be 0/((8 - 3)/5). Let f be (b - -12)/(3 - 1). Solve p = -4*t + 4, -f*t = -t + p - 6 for t. 2 Suppose -42*o - 20 = -46*o. Solve 2*d = q + 14, 40 = o*d - d - 5*q for d. 5 Let i(x) = 38*x + 639. Let p be i(-16). Solve -6 = 3*n - 3*a, p = 2*n + a + 4*a for n. 3 Let t = -2 + 10. Suppose -6*b + 44 - t = 0. Solve -3*z + 4*z + b = l, -4*l - 4 = 3*z for z. -4 Suppose -28*y = -8 - 76. Solve 6 = -3*v, 4*v - 8 = y*p - 7*p for p. 4 Let s = 29 - 24. Suppose -s*r + 8 = -r. Solve -11 = o - 5*w + 3, o + r*w = 0 for o. -4 Let a = -246 - -481. Let p be a/75 - (-2)/(-15). Solve -5*t - 2*i = -24, i = -t + p + 3 for t. 4 Let h = 90 - 90. Solve -2*z + 0 - 10 = h, 2*z + 11 = r for r. 1 Suppose 22*d - 18*d - 12 = 0. Solve -4*g + 12 = 0, -h = 2*h + d*g for h. -3 Suppose 0 = -o + 2, y - 4*o + 12 = 0. Let z be 8/12*(-138)/y. Suppose l + 0*l + 3 = 0, 5*f - l - z = 0. Solve 0 = -d + 2*t + 10, -15 = f*d + 7*t - 4*t for d. 0 Let d be ((-56)/20)/(4/(-10)). Let u = -4 + d. Suppose -2*l - 6 = 0, u*k - 31 = 5*l - 4. Solve 2*o = k*v - 6, 2*v + 9 = 3*v - 2*o for v. -1 Let h(y) = y**2 - 1. Let d be h(2). Let x(b) = -2*b - 3*b - 11 + b - 6 + b**2 + 20. Let j be x(d). Solve 0 = -5*c - 4*i - 20, j = -0*c - c - 3*i - 15 for c. 0 Suppose 26 = 2*u - 2*w + 4, -u = -3*w - 17. Suppose o - 2*o = 1. Let r = 4 - o. Solve -u = 2*p - f, -r*p - f - 2 = -2*p for p. -2 Suppose 4*x + 24 = 12*x. Solve x*r = -v + 2 - 5, -5*v - 15 = -2*r for r. 0 Let f = -680 + 682. Solve -4*j - 5*z = -40, z - 4*z = f*j - 22 for j. 5 Let w(p) = 2*p**2 - 16*p + 31. Let r be w(2). Solve -4*n - r*a = -5*a - 22, -n = -3*a + 12 for n. 3 Let j(z) = -z**2 + 9*z + 2. Let i(s) = -s**2 + 10*s + 1. Let u(t) = -3*i(t) + 4*j(t). Let f be u(6). Solve 0 = f*g + 4*b - b - 5, 5*g = 2*b + 5 for g. 1 Let y = 12 + -16. Let u(q) = -q**3 - 3*q**2 - 13. Let z be u(y). Solve z*t + 4*k + 21 = -3, -t + 11 = -5*k for t. -4 Suppose -2*z = 5*h - 63 + 59, -h - 2*z = -4. Suppose -2*v + 8 = -v + 2*f, 5*v - 12 = 4*f. Solve 0 = -5*j - c - 17, -j + h*j = -v*c - 5 for j. -3 Let w(x) = x**2 + x + 2. Let m be w(0). Suppose -2*o + 96 = m*o. Let j = -3822 - -3826. Solve 2*n + a - 4 = 0, -j*n + a = -a - o for n. 4 Suppose 7*p + 223 = 300. Solve -4*u = -r + p, 0 = -2*r - 0*u - 4*u - 14 for r. -1 Suppose 4*f + 3*u - 5 = 2*u, -4*u = 12. Solve 2*i - 9 = -n, f*n + i = -n + 12 for n. 3 Let l(d) be the first derivative of -d**2/2 + d + 6. Let r be l(-4). Suppose h + 120 = r*h. Solve -u + 9 = 2*u + 2*x, h = 3*u - 5*x for u. 5 Let o = 27 - 3. Let m = o - 24. Let y be (-13)/(-3) - (-1)/(-3). Solve -y*k - r = 10, m*r = -r + 2 for k. -3 Let s be 290/29 - (5 - -2). Solve 4*m - 7 = -s*q, 1 - 2 = 3*q - 4*m for q. 1 Let p be 1/((-2 - -1)/((-8)/4)). Suppose 30 = 4*w + 3*c, -w + p*c - 10 = -2*w. Solve -5*v - 3*l - 30 = -w*l, 2*l - 19 = 3*v for v. -3 Let d(f) = -f**3 + 16*f**2 + 16*f + 18. Let x be d(17). Solve z - 3*h = -x, 6*z - z - 4*h - 6 = 0 for z. 2 Let w be (-5)/(-3)*(5 + -2). Let x be 6/(-4)*(24 + 2). Let b be 24/13 - 6/x. Solve g = -m + b, -3*m - w*g + 1 + 3 = 0 for m. 3 Suppose -4*z = 2*z - 30. Suppose y = -z*c - 8, c = -4*y + 5 + 1. Solve y*a + 9 = -n, 6 = n + 2*a - 3*a for n. 1 Suppose -n + 32 - 15 = -d, 4*d = 12. Solve 3*m - n = -m, 2*z = -m - 3 for z. -4 Let i = -56 + 38. Let c be i/(-15) + 5/(-25). Let s be (5/10)/(c/8). Solve 4*v - s*o = -8, 2*o + 2*o = v - 1 for v. -3 Let m = -17 + 32. Suppose 0 = -3*b + 6*b - m. Solve 4*c = -b*d - 2 + 12, 2*d = -5*c + 4 for c. 0 Suppose 0*n = -20*n + 160. Solve x + 5*p = n - 3, 5*x = -4*p + 25 for x. 5 Let d = -47 + 49. Let v be -1 - (-1)/(3/9). Solve -3*u - 21 = -v*u - 4*j, d*u = 4*j - 26 for u. -5 Suppose 0 = 4*b + 12, -2*b - b = -5*i + 34. Suppose -3*r - 4 = -i*r. Solve -4*q + m - 1 = q, 2 = 5*q + r*m for q. 0 Suppose -18*h + 496 = 190. Solve -5*x + i = -5, -5*i + 8 = -h for x. 2 Suppose o + 9 - 63 = 3*v, -5*o = -4*v - 215. Let s be 0 - ((-422)/12 - 6/(-36)). Let p = o - s. Solve 3*z = 2*d + 1, p*z - 3 = 5*z for d. -5 Let g(v) be the first derivative of -v**4/2 - 5*v**3/3 + 3*v**2/2 - 3*v - 41. Let b be g(-4). Solve x + s = 9, 2*x + 3*x + 2*s - b = 0 for x. 5 Let f(j) = -j**3 - 13*j**2 - 27*j - 30. Let z be f(-11). Suppose 45 = 4*p + n, -5 = -2*p - 2*n + z. Solve 5*b + a - p = 0, 4*b + 2*a - 2 = 6 for b. 2 Let i(j) = j**3 - 11*j**2 + 19*j + 1. Let w be i(9). Let o be (w/(-25))/(4/20*-1). Solve -3*v - 23 = -o*y, -5*v = -2*y + 34 - 1 for v. -5 Let a = -17 - -14. Let m(l) = -5*l - 5. Let x be m(a). Let z = 11 + x. Solve 0 = -5*c + 10, 5*c + 6 = -5*y + z for y. 1 Suppose 0 = -3*f + 5*f + 8. Let z be 9 + (f - -7)/(-1). Solve 2*r = 4*r - z, r - 8 = -5*u for u. 1 Suppose -7*c + 4*j = -5*c - 20, -3*j = -5*c + 36. Suppose 0 = 5*h + b + 2, 5*h + c*b = 3*b - 6. Solve h*k = 4*p + k - 12, -3*p = 2*k - 4 for p. 4 Let m be -3 + (-56)/(-20) + (-792)/(-10). Let j = m - 72. Solve 25 = -3*s - 2*l, 3*s + 4*l = j*s for s.
{ "pile_set_name": "DM Mathematics" }
15*o**2 Let c(m) = -42*m**2 + 15*m. Let f(r) = 23*r**2 - 8*r - 2. Determine -3*c(j) - 5*f(j). 11*j**2 - 5*j + 10 Let h(u) = 3547 + 3546 + 3*u - 7100. Suppose 3*s + s - 40 = 0. Let o(r) be the third derivative of r**4/12 - 2*r**3/3 + r**2. Calculate s*o(j) - 6*h(j). 2*j + 2 Let l(c) = -2027*c**3 + 5*c**2 + 10*c + 15. Let a(r) = 4*r**3 - r**2 - 2*r - 3. Determine -5*a(v) - l(v). 2007*v**3 Let x(c) = -345*c**3 - 7*c - 105. Let h(q) = 346*q**3 + 7*q + 90. What is -7*h(r) - 6*x(r)? -352*r**3 - 7*r Let v(o) = 492*o**2 - 9*o + 12. Let n(m) = -m**2 + m - 1. Determine -9*n(d) - v(d). -483*d**2 - 3 Let n(d) = -16*d**3 - 17*d**2 + 71. Let r(h) = -11*h**3 - 12*h**2 + 47. Calculate -5*n(z) + 7*r(z). 3*z**3 + z**2 - 26 Let v(i) = -120*i + 97. Let k(a) = 660*a - 534. What is -5*k(x) - 28*v(x)? 60*x - 46 Let s(p) = 11*p - 3. Let u(h) be the second derivative of 2*h**3 - 2*h**2 - 1229*h. What is -5*s(z) + 4*u(z)? -7*z - 1 Let h(k) = -10*k**2 + 250*k - 2. Let p(r) = -r**2 - 5*r. Calculate -h(n) + 8*p(n). 2*n**2 - 290*n + 2 Suppose 17*c = 4*y + 149, -3*y - 17 = -2*c - 2*y. Let v(w) = -3*w**3 + 23*w + 13. Let h(u) = -u**3 + 11*u + 6. What is c*h(f) - 4*v(f)? 3*f**3 + 7*f + 2 Let d(n) = n + 13. Let y(x) be the second derivative of -3*x**2 - 6*x - 7. Let o(a) = -2*d(a) - 5*y(a). Let u(q) = 3*q - 8. Give 10*o(c) + 6*u(c). -2*c - 8 Let z(h) = 6*h**2 - 3*h - 6. Let o(i) be the third derivative of -i**5/60 + i**4/24 + i**3/6 - 1160*i**2. Determine 3*o(t) + z(t). 3*t**2 - 3 Let l(z) = 5*z**2 + 13*z - 3. Suppose 3*s = 3*c - 27, 2*s + 3*s + 45 = -5*c. Suppose 20 = -9*a - 16. Let d(j) = -2*j**2 - 6*j + 1. Determine a*l(r) + s*d(r). -2*r**2 + 2*r + 3 Suppose -53607*s = -53611*s - 20. Let g(d) = -7*d + 1. Let j(r) = 15*r - 3. What is s*g(k) - 2*j(k)? 5*k + 1 Let f(i) = 3*i - 6*i + 1 + 0. Let u(n) be the third derivative of 7*n**4/24 - n**3/3 + 28*n**2 - 8. Determine 5*f(s) + 2*u(s). -s + 1 Let j(h) = 5*h**2 - 917. Let u(f) = 7*f**2 - 916. Give 4*j(b) - 3*u(b). -b**2 - 920 Let s(d) be the first derivative of -d - 1/2*d**2 - 2. Let j(z) = -2 + 2*z**3 + 125*z + 192*z**2 - 191*z**2 - 128*z. What is -j(k) + 2*s(k)? -2*k**3 - k**2 + k Let t(f) = -4*f**2 + 2*f + 4. Let b be 27/(13 - 4) + 0/1. Let l(r) = -3 + 0*r + r + 95*r**2 - 91*r**2 - b*r. Give -6*l(y) - 5*t(y). -4*y**2 + 2*y - 2 Let v be 17/((-357)/(-28))*9/2. Suppose -4*u - v - 18 = 0. Let o(i) = i. Let h(r) = 7*r**3 - 6*r. Give u*o(n) - h(n). -7*n**3 Let z(g) = g**3 - 13*g**2 - 17*g + 6. Let c be z(14). Let b = c + 34. Let h(k) = k**2 - k + 1. Let x(i) = i**2 - 3*i + 1. What is b*x(m) + 5*h(m)? 3*m**2 + m + 3 Suppose 39*k - 45 = 30*k. Let m(z) = -29*z + k + 66*z - 36*z. Let q(n) = -4. Determine -4*m(o) - 5*q(o). -4*o Let u = 428 - 430. Let b(y) = -y - 6. Let v(s) = 23*s - 3 - 25*s - 2 - 2. Suppose -r = -2 - 1. Determine r*b(m) + u*v(m). m - 4 Let q(o) = 15*o**2 + 34*o + 6. Let w(c) = 3*c**2 + 2. Give q(f) - 3*w(f). 6*f**2 + 34*f Let p(d) = 631*d + 177. Let l(w) = 105*w + 30. Calculate 13*l(f) - 2*p(f). 103*f + 36 Let f(u) = -5*u + 1. Let s(y) = -143*y - 4713. Let b be s(-33). Let d(l) = l. Determine b*d(t) + 3*f(t). -9*t + 3 Suppose -38*q = -4*i - 34*q + 68, i = 2*q + 13. Let t(r) = -4*r - 8. Let g(v) = 15*v + 33. What is i*t(c) + 5*g(c)? -9*c - 3 Let u(s) be the first derivative of -116 - 138 + s + 118. Let t(y) = -4*y**3 + 3*y**2 - 3. What is t(z) + 3*u(z)? -4*z**3 + 3*z**2 Let u(s) = 12*s + 106. Let x(o) = -14*o - 80. Let k(i) = -3*u(i) - 4*x(i). Let r(j) = 20*j + 2. Calculate 3*k(p) - 2*r(p). 20*p + 2 Suppose -2*h + 6*h + 36 = 0. Let y(k) = -15*k**3 - 9*k**2 + 9. Suppose 52*r - 53*r + 4 = 0. Let o(i) = -7*i**3 - 4*i**2 + 4. What is h*o(q) + r*y(q)? 3*q**3 Let b = -590 + 594. Let l(q) = q**3 + 6*q**2 - q. Let a = 2 - -11. Let v(r) = -3*r**3 + a*r**2 + 2*r**3 + 3*r**3 - 2*r. Give b*v(k) - 9*l(k). -k**3 - 2*k**2 + k Let c(y) = -12*y**3 - 13*y**2 + 11*y. Let h(j) = 6*j**3 + 7*j**2 - 6*j. Suppose 60*w = -350 + 89 - 399. Determine w*h(a) - 6*c(a). 6*a**3 + a**2 Let p(r) = r**2 - 4*r + 6. Let h(t) = -2*t - 4. Let j be h(-4). Let n(s) = 3 - s - j + 2*s. Let f be (11 - 12)/(1/1). What is f*p(b) - 5*n(b)? -b**2 - b - 1 Let v(y) = -49*y**3 - 13*y**2 + 32*y - 2. Let w(s) = -s**3 - s**2 + 16*s. What is v(g) - 2*w(g)? -47*g**3 - 11*g**2 - 2 Let w(t) = 13*t**2 - 814*t + 1. Let z(a) = -58*a**2 + 3259*a - 3. Calculate -9*w(f) - 2*z(f). -f**2 + 808*f - 3 Let b(c) = 3*c - 3. Let t(r) = -r**2 - 4*r + 24. Let v be t(-5). Suppose -3*m - v = k, -5*m = -3*k + 29 + 26. Let h(f) = -5*f + 5. Determine m*b(a) - 5*h(a). a - 1 Let a(d) = -2*d**2 + 830. Let v(u) = 6*u**2 - 2491. Calculate -7*a(s) - 2*v(s). 2*s**2 - 828 Let p(z) = 17*z**3 - 8*z**2 - 4*z - 10. Let u(r) = -7*r**3 + 4*r**2 + 2*r + 4. What is -2*p(t) - 5*u(t)? t**3 - 4*t**2 - 2*t Let v(g) = g**2 - g - 1. Let h(d) = 2*d - 7. Let y be h(7). Let k(u) = -3 - 3*u + 2*u**2 + y*u**2 - 11*u**2 + u**2. Calculate -k(p) + 5*v(p). 6*p**2 - 2*p - 2 Let z(r) = -6*r - 714. Let j(t) = -21*t - 2487. What is 5*j(l) - 18*z(l)? 3*l + 417 Let k(r) = 15*r**3 - 7*r**2 - 9*r. Let u = -59 - 88. Let o = -143 - u. Let g(l) = -7*l**3 + 3*l**2 + 4*l. What is o*k(s) + 9*g(s)? -3*s**3 - s**2 Let a(j) = -j + 1. Let r(l) be the third derivative of -3*l**4/4 + 2*l**3 - 4*l**2 + 302*l. Let b = -4 - -5. Give b*r(h) - 12*a(h). -6*h Let c(p) = 18*p**3 + 3*p**2 + p - 18. Let k(q) = -36*q**3 - 8*q**2 - 3*q + 39. Calculate 10*c(h) + 4*k(h). 36*h**3 - 2*h**2 - 2*h - 24 Let q(x) = x**3 + 4*x**3 - 5*x**3 + 6 + 4*x**3. Suppose -83*f = -81*f - 14. Let s(w) = f + 11*w - 12*w + w + 5*w**3. Calculate 7*q(r) - 6*s(r). -2*r**3 Let q(y) = 527*y**2 + 6*y - 6. Let v(r) = 43208*r**2 + 491*r - 491. Determine -491*q(z) + 6*v(z). 491*z**2 Let s(q) = 76*q**3. Let l(c) = -869*c**3 - 893*c**3 + 1724*c**3. Give 5*l(b) + 2*s(b). -38*b**3 Let g(b) = -1. Let p = -5 - -7. Let z(r) be the first derivative of -5 - 2*r + 3/2*r**2. Determine p*g(n) - z(n). -3*n Let y(n) = n**3 + 12*n**2 - 291. Let r(b) = 3*b**3 + 42*b**2 + b - 874. Determine -2*r(o) + 7*y(o). o**3 - 2*o - 289 Let g(x) = -x**3 - 15*x**2 - 13*x - 54. Let y be g(-15). Suppose 0 = -22*l + 119 - y. Let u(p) = 10*p + 12. Let t(o) = o + 1. What is l*u(k) + 12*t(k)? 2*k Let v = 67 - 67. Suppose v = -6*n + 3*n + 6. Let l(z) = 9*z**2 - 34 + z**n + 40. Let g(f) = 9*f**2 + 5. Give -6*g(q) + 5*l(q). -4*q**2 Let m(v) = -7*v + 378. Let y(f) = 5*f - 362. Calculate -2*m(h) - 3*y(h). -h + 330 Let w(r) = -94*r**2 + 44*r - 11. Let c(b) = 19*b**2 - 8*b + 2. What is 11*c(d) + 2*w(d)? 21*d**2 Let d(v) = -358*v**3 - 6*v**2 + 4. Let y(i) = 726*i**3 + 13*i**2 - 9. What is 13*d(a) + 6*y(a)? -298*a**3 - 2 Let y(h) = h**2 - 268*h - 267*h + 530*h + 112 - 113. Let j(f) be the first derivative of -f**2/2 + 1. Give 5*j(t) - y(t). -t**2 + 1 Let k(u) = -5*u - 234. Let n(m) = -27*m - 1167. Determine -16*k(q) + 3*n(q). -q + 243 Let j(y) = 2*y**2 - 3*y. Let i = -495 - -1023. Let o = -536 + i. Let l(v) = -5*v**2 + 8*v. Suppose b = -4*b - 15. Calculate b*l(u) + o*j(u). -u**2 Let d(r) = -413*r**3 + 7*r**2 - 3. Let c(t) = -1242*t**3 + 20*t**2 - 10. Determine 5*c(k) - 14*d(k). -428*k**3 + 2*k**2 - 8 Let z(t) = t**2 + t + 1. Let p(u) = -14*u**2 - u + 8. Let g(q) = -p(q) + 3*z(q). Let a(c) = 4*c**2 - 185297*c + 370588*c - 1 - 185290*c. Give -9*a(b) + 2*g(b). -2*b**2 - b - 1 Let j = 196 - 194. Suppose 4*i - j*i + 6 = 0. Let y(v) = -v**2 + 2. Let u(n) be the second derivative of -n**4/12 + 3*n**2/2 - 6*n. Calculate i*y(q) + 2*u(q). q**2 Let m = 28783 + -28782. Let a(f) = f**2 + f + 1. Let p(n) = 7*n**2 - 14*n + 4. What is m*p(u) - 4*a(u)? 3*u**2 - 18*u Let h = 60 - 60. Let w(b) = b**2 + 4*b + 2. Let m be w(-4). Suppose m*l + 0 + 2 = h. Let z(v) = -v**2 - v + 3. Let y(a) = -1. Determine l*z(j) - 4*y(j). j**2 + j + 1 Let x(j) = -3*j + 37. Let v(y) = -y**2 - 339*y - 5466. Let d be v(-17). Let q(b) = 2*b - 25. Calculate d*q(c) + 5*x(c). c - 15 Let j(n) = 37 + 12*n + 1 - 27 + 1 - 2. Let b(c) = c + 1. Suppose -3*r - 2*r + 99 = -q, 0 = 5*r + q - 101. Suppose 0 = -0*l - l - r. Determine l*b(d) + 2*j(d). 4*d Let a(b) = -3*b**2 + 2*b. Let u(m) = -25296*m**2 + 9486*m. Calculate 4743*a(i) - u(i). 11067*i**2 Let o(w) = w**2 + 2. Let s(l) = 4*l**2 + 146*l - 8. Calculate 6*o(x) - 2*s(x). -2*x**2 - 292*x + 28 Let f(x) be the second derivative of -x*
{ "pile_set_name": "DM Mathematics" }
uppose -138 = -n + 3*b, 4*n - 2*b - 45 = 557. What is the hundreds digit of n? 1 Suppose 5*i + 6*f + 49 = 3*f, 0 = 2*i - 5*f + 1. Let a = i + 6. What is the units digit of 60/25 + a/5? 2 Suppose -2*c - 3*c + 78 = -4*o, 3*o - 99 = -5*c. What is the tens digit of c? 1 Let g = 30 + -22. Suppose -g - 20 = -7*w. What is the units digit of w? 4 Suppose -30 = -3*a - m, -m - 2*m + 54 = 5*a. Let i = 31 - a. What is the tens digit of i? 2 What is the units digit of (-294*(-2)/(-3))/(-2)? 8 Let p be (-73)/(-4) + 2/(-8). Suppose -3*s + 4*r + p = -2*s, -4*r = s - 34. What is the tens digit of s? 2 Suppose f = 3*f. Let n(m) = m**2 + m - 1. Let h be n(1). What is the units digit of 1*h/(f - -1)? 1 Let d(g) = 2*g - 3. Let t be -2*-2*(1 - 0). What is the units digit of d(t)? 5 Let c = -3 + 8. Suppose -2*v + c*v - 39 = 0. What is the tens digit of v? 1 Suppose 0 = -4*n - 3*i + 77, -2*i = -0*n + 5*n - 105. Let v = n - 6. What is the units digit of v? 7 Let m be 201/12 + 3/(-4). Let j = -11 + m. What is the units digit of (0 + -1)*(j - 15)? 0 Let g(u) = u**3 - 3*u + 2. Let r be g(2). Suppose -r*k + 35 = 7. What is the units digit of k? 7 Let r(a) = 10*a**2 - 3*a + 1. What is the tens digit of r(3)? 8 Let i(n) = 14*n**2 - n - 5. What is the tens digit of i(3)? 1 Let z(n) be the third derivative of 0*n**4 + 19/120*n**6 + 0 + 0*n**5 + 2*n**2 + 0*n**3 + 0*n. What is the tens digit of z(1)? 1 What is the units digit of ((-51)/12)/(6/(-24))? 7 Let r = 0 - 0. Let z(l) = -l**2 - l - 2. Let a be z(r). Let b(y) = 2*y**2 + 1. What is the units digit of b(a)? 9 Suppose -2*j = 2*j - 3*w - 4, 2*w = 3*j - 4. Suppose 198 = 2*s + 3*s + 2*i, 4*s - 168 = -j*i. Suppose 5*b - 42 = s. What is the units digit of b? 6 Let h(m) = m**3 - 4*m**2 + 2*m - 4. Let j be h(4). Suppose 0*r = 3*k - j*r - 101, 3*k + 4*r - 133 = 0. What is the units digit of k? 9 Suppose -5*a = -4 + 24. Let j = 28 + a. Let f = j + -13. What is the units digit of f? 1 Let o(v) = -11*v**3 + 2*v**2 + 2*v + 1. Let q = 1 + -2. What is the units digit of o(q)? 2 Let b = 13 + 9. What is the units digit of (3 - 1) + b/1? 4 Let m(o) = -3*o. Let b be 3 - 3 - 3/3. Let n be m(b). Suppose -n*c = c - 20. What is the units digit of c? 5 Let j(z) = z**2 + 1. Let l(i) = 3*i**2 + 9*i - 1. Let p(q) = -4*j(q) + l(q). Let a be p(8). Suppose -a*g + 20 = -g. What is the units digit of g? 0 Suppose 4*v - 6*v = -2*i - 348, -4*v = -i - 696. What is the hundreds digit of v? 1 Suppose -453 = -4*i + 627. Suppose 4*q + q = i. What is the tens digit of q? 5 Let n = 35 - -6. What is the tens digit of n? 4 Suppose -4*g - 2*u + 894 = 0, 3*u + 1110 = 5*g - 2*u. What is the tens digit of g? 2 Let q be 2 + 1 + -1 + -5. Let g = 13 + q. What is the tens digit of g? 1 Let w = 88 + 26. What is the units digit of w? 4 Let r(u) = u**2 + 12*u + 10. Let o be r(-11). What is the units digit of o*(3 - 0 - 16)? 3 Suppose -h + 38 - 14 = 0. What is the tens digit of h? 2 Let y be 9 - (3 - 3 - 1). Let u = y + -6. Suppose 0 = -2*p + 2*c, -2*c - c - u = -5*p. What is the units digit of p? 2 Suppose 4*k = 15 - 3. What is the units digit of k? 3 Let b = 152 - 100. What is the tens digit of b? 5 Let s = -5 + 9. Suppose -4*n + 3*n = -s. Let g = n - -1. What is the units digit of g? 5 Let r = 3 + 0. Let u = r - 0. Suppose 24 = 2*v + v - u*g, -2*g - 31 = -5*v. What is the units digit of v? 5 Suppose 0 = -5*u + 5*r + 10 + 60, 5*u + 5*r = 70. What is the units digit of u? 4 Let n = -65 + 78. What is the tens digit of n? 1 Suppose 65 = 4*m - 19. Suppose -k + 2 = -m. What is the units digit of k? 3 Let j be ((-6)/9)/(2/(-6)). Suppose j*z = 5*y - 28, 3*y - 24 = -z + 4*z. Suppose y = 4*c - 12. What is the units digit of c? 4 What is the units digit of (-605)/(-22) - (-2)/4? 8 Let f = 490 + -338. What is the units digit of f? 2 Let j(t) = -t**2 + 2*t + 56. What is the tens digit of j(0)? 5 Let p(i) = -i + 2*i**2 - 2*i**2 + 2 + i**2. What is the units digit of p(3)? 8 Suppose 4*i + 2*f = 52, -5*i + 48 = 3*f - 19. Suppose 5*b = -3*v + 9, 5*v - 4 = -2*b + i. Suppose 15 = 3*t, 4*t = -r + v*r + 8. What is the units digit of r? 6 Suppose 0*k - 6*k + 702 = 0. What is the units digit of k? 7 Let k = -17 + 29. What is the tens digit of -4*(k/(-3) + 0)? 1 Suppose 0 = 4*h + 4*l - 20, -3 = 4*l + 5. What is the units digit of h? 7 Let a(k) = -2*k + 4. Let x be a(3). Let u be 3/9 - x/(-6). Suppose 4*c = u, -q + 3 - 1 = 2*c. What is the units digit of q? 2 Suppose -2*m + 524 = -x, 3*m - x = -4*x + 768. What is the units digit of m? 0 Let m(r) = r**2 - 3*r - 3. Let i be m(-2). Suppose -i = l - 5*l + n, -2*n = 6. What is the units digit of 2*3*l/3? 2 Let h be (-38)/4 - (-2)/(-4). Let j = h + 8. What is the units digit of 3/j*168/(-18)? 4 Let z = 42 - 24. Suppose 4*f - 56 = 2*f + i, 0 = -3*i + 6. Let b = f - z. What is the tens digit of b? 1 Let v = 27 - 33. What is the units digit of 238/5 - v/15? 8 Suppose -17*y + 12*y = -10. Suppose y*r - 40 = -0*r. What is the units digit of r? 0 Suppose 0 = -j - d + 2, -7 - 1 = -3*j - 5*d. Suppose 0*v = -v + j. What is the units digit of v? 1 Suppose 0*u + 168 = 4*q + 4*u, 0 = 5*q + 2*u - 198. What is the tens digit of q? 3 Suppose -3*w + 188 = w - 5*r, 3*w + 4*r = 141. Let a = w + -22. What is the units digit of a? 5 Let p(v) = 4 - 2*v + 3 + 2 + v**2 - 1. What is the tens digit of p(7)? 4 Suppose -383 = -4*f + 289. What is the tens digit of f/10 + 1/5? 1 Let v be (7*52)/2 + 0. Suppose 3*c - 1650 = 3*j, 2*c + j - v = 927. What is the tens digit of 2/(-7) - c/(-49)? 1 Let h(j) = -2*j + 1. Let a be h(-2). Suppose u - 13 = 2*k, u + a*k + 7 = 2*k. What is the units digit of u? 5 Let x(v) = -3*v**2 - 4*v - 2. Let t be x(-4). Let i = 47 + t. What is the units digit of i? 3 Let y = 27 + -6. Let g(l) = -l**2 - 15*l - 27. Let m be g(-13). Let n = m + y. What is the units digit of n? 0 Suppose 14*z + 30 = 19*z. What is the units digit of z? 6 Let f(a) = -14*a + 3. What is the units digit of f(-5)? 3 What is the tens digit of (-199)/(-1) - -1*(9 - 5)? 0 Let h be (-468)/(-81) + (-2)/(-9). Let y = 4 - 0. Suppose 0 = 3*g + 4*i + 11 - 29, h = -3*g + y*i. What is the units digit of g? 2 Let h(f) = -f**2 - 2*f + 10. Suppose -8*x + 5*x = 0. What is the tens digit of h(x)? 1 Let n(t) = t**3 - t - 3. Let i(p) = p**3 + p**2 - 2*p - 3. Let s(r) = -3*i(r) + 4*n(r). What is the units digit of s(5)? 7 Let d = 165 - 90. What is the units digit of d? 5 Suppose -3*m + 560 = 5*m. What is the tens digit of m? 7 Let z = 8 + 10. What is the tens digit of z? 1 Let b(v) = -v + 6. Let u be b(5). Suppose 3*k - 3*q - 3 = 0, 4*k - 5*q + 1 - 3 = 0. Suppose -k*w + u = -5. What is the units digit of w? 2 Let t(j) = -j**3 + 8*j**2 - 5*j - 8. Let s be t(7). Suppose -s*f + 3*f = 5*r - 8, 16 = f - r. What is the units digit of f? 1 Let s = -10 + 19. Let b = 21 - s. What is the tens digit of b? 1 Let v(f) = -6*f + 71. What is the hundreds digit of v(-15)? 1 Let z(m) = -11*m**3 + m + 1. Let d = -1 - 0. What is the units digit of z(d)? 1 Let z = 22 + 16. Suppose -78 = 3*u + 3. Let j = z + u. What is the tens digit of j? 1 Let a = -29 + 14. Let v = -14 - -8. What is the tens digit of (-245)/a + 2/v? 1 Let n(k) = k**2 - 7*k + 2. Let l be n(4). Let t(o) = o**2 - 4*o - 1. Let h be t(5). What is the units digit of h/(-6)*15/l? 1 Let u = -13 - -9. Let m = 8 + u. Suppose m*s - 3*s - 10 = 0. What is the units digit of s? 0 Let p be 8*(-1)/4*2. What is the units digit of (p - -7) + (-2)/(-2)? 4 Let l = -5 - -5. Suppose 2*b - 25 = -5*m, 2*m - 10 = 3*b - l*m. Suppose -5*f + 5*p + 55 = b, f - 2 = -p + 3. What is the units digit of f? 8 Suppose j = -0 + 41. Let s = -16 + j. What is the units digit of s? 5 Suppose -p + 2*p - w = 2, -3*w = 2*p + 1. Let i be (2 - p)*-1 + 1. Suppose i = 5*h - 10*h + 75. What is the units digit of h? 5 Let g be -1 + 2 - 7 - 1. Let l = g + 20. What is the units digit of l? 3 What is the units digit of -1*(-28 + 4)*(-11)/(-3)? 8 Let q = 7 + -5. What is the units digit of q? 2 Suppose -i + 4*s = -0*s + 10, 3*i - 5*s = -16. Let h = 13 + i. Suppose 3*v - h = 10. What is the units digit of v? 7 Suppose 2*u - 71 - 231 = 0. Suppose 0 = -5*c + 49 + u. What is the tens digit of c? 4 Suppose 2*p = 2 + 2. What is the units digit of p? 2 Let k = -27 + 72. Suppose -3*w + k = 2*w. What is the units di
{ "pile_set_name": "DM Mathematics" }
*2 assuming s is positive. s**(-18664/45) Simplify (((q/(q**(2/31)/q)*q)**(-1/12))**22)**(3/26) assuming q is positive. q**(-77/124) Simplify ((z**(-24))**(38/5)*(z**(-6)/z)/z*z**(1/20))**30 assuming z is positive. z**(-11421/2) Simplify (((((u**(2/5)/u)/u)/u*u*u*u)/(u**7/u)*(u*u**(-1/3))**(-32))**(-45))**(3/25) assuming u is positive. u**(3636/25) Simplify ((((c*c**(-2/5)*c)/c*c/c**(-1/2))**(2/75))**(3/35))**(4/3) assuming c is positive. c**(4/625) Simplify (a**(2/7))**(-45)/((a/(a*a**(-1/2))*a)/(a*a**5))*(a**(-6)*(a*a**(-1/2)*a)/a*a)**(19/2) assuming a is positive. a**(-1431/28) Simplify ((u**(-1/2)/u)/u*(u/u**(-1/4))/u*u*u)**(-1/12)/((u**(-3)*u**(-1/6))/((u/(u/u**4))/(u/((u*u/u**(-2/3))/u)))) assuming u is positive. u**(377/48) Simplify ((d*d*d**(2/9))/(d**(3/4)/d))**(-48)/((d**(-2/5))**(-27)*(d**1)**20) assuming d is positive. d**(-2242/15) Simplify ((g/(g*g/g**(-1/3)))**(3/5)*g**(3/11)*g/g**(3/8))**(-11/6) assuming g is positive. g**(-43/240) Simplify (((h*h**(-2/17))/h)/(h/((h*h**(-2/7)*h)/h)))/((((h**(2/3)*h)/h)/h)/(h**(-1/7)*h))*h**(-4/11)*h*h**(2/19)*(h**2)**(-15) assuming h is positive. h**(-2124326/74613) Simplify (k**8*k*k*k**(2/7)*k*(k/(k*k*k/k**0)*k)**(-2/15))**(-12/7) assuming k is positive. k**(-4796/245) Simplify (((l/l**(1/6))/l)**22*l*l**(-10)*l**(-2/9))**(2/9) assuming l is positive. l**(-232/81) Simplify ((u*((u*u**(-1))/u)/u*u)**(-1/25))**1/((u/u**1*u)**37/(u/(((u*u*u**(-1)*u)/u)/u)*u*u*u*u)**(-4/5)) assuming u is positive. u**(-41) Simplify (f/((f*f**(-2/9)*f)/f)*f**(-2/11)*f/(f/(f*f**11)*f)*f**(-6))**(16/5) assuming f is positive. f**(7984/495) Simplify c/(c*c/(c*c**(4/33))*c)*c**8*(c**(6/5))**(-1) assuming c is positive. c**(977/165) Simplify ((s**(-1/3))**(-45))**9*((s/(s/(s**(1/3)*s)))**19)**9 assuming s is positive. s**363 Simplify ((g/(g/g**(-3/2)))/(g*g**(-4)*g))**(-26)/((g**(-2/5)*g)**(-3/28)/((g**(2/7)*g)/g**(-3))) assuming g is positive. g**(-173/20) Simplify ((((h*(h*h/h**(2/15))/h)/h**(-3/2))/((h*h**(-1))/(h*(h*h/(h/(h*h/h**(1/6))))/h)))**(2/3))**(2/31) assuming h is positive. h**(4/15) Simplify (n**4*n*n/n**(-6))**12*((n/n**(-3))/(n/n**(-4/5)))/(n**(-2/3)*n**(2/5)) assuming n is positive. n**(2197/15) Simplify m/(m**(-2/13)/m)*m**8*(m**2)**34*((m/((m*m*m**(-4/5))/m))/m)/m*m*m*m/(m**(-5)*m)*m/((m*m**(3/4)/m)/m*m)*m*m**(-1/5) assuming m is positive. m**(22101/260) Simplify (z*z/(z**7*z))/z**7*z**(1/10)*z*z*z**(-6/7)*z*(z/z**(1/3)*z)**41/(z*(((z/z**(-2/5))/z)/z)/z*z)**(-26/5) assuming z is positive. z**(62639/1050) Simplify (((y**(-7)*y**(-9)/y)/(y/y**(1/3)*y**(-1)*y))**(1/12))**(1/46) assuming y is positive. y**(-53/1656) Simplify (m/((m*m/(m**(-23)*m))/m)*m)**12/(m**(1/34)/m**40) assuming m is positive. m**(-7209/34) Simplify (i**(-9)*i/(i**(1/4)*i)*i)/(i**(3/4)*i*(i*i*i*i/(i/((i/i**(-8))/i*i)))/i)*((i*i**(-1)*i)/i)**21/((i**(5/3)/i)/(i/i**(-1/10))) assuming i is positive. i**(-617/30) Simplify (l**(4/7)/((l/(((l/l**(-7)*l*l)/l)/l))/l))**(-15)*(l**(4/7)*l*l**(-4/7))/(l**(2/5))**2 assuming l is positive. l**(-4493/35) Simplify ((x/x**1)**29/(x**0)**29)/((x/(x*x/x**5))/(x/x**(-4/11)*x))**(8/3) assuming x is positive. x**(-48/11) Simplify ((u*u**(-4/9)*u**(1/6)/u)/(u*u**1)**15)/((u*u**(-1/3))/(u**3*u))**40 assuming u is positive. u**(1855/18) Simplify (u**3/(u/u**(-1/3))*(u*u**(-3))/((u**5/u)/u))/((u/(u*u**(4/9)))/u*u/(u**(-2)*u)*u**4*u**(-2)) assuming u is positive. u**(-53/9) Simplify ((a*a/(a**(-2/49)*a)*a)/(a*a*a/((a*(((a*a**(1/18))/a*a)/a)/a)/a)*a*a))/((a**(6/7)/a)/((a*a**(-27)*a)/a)) assuming a is positive. a**(-26249/882) Simplify ((x*x/x**(-2/9))/x**(-2))**(-18)*(x/(x*(x/(x/(x*x*x*x**(6/5)*x*x)))/x*x)*x*x*x**(-5))**(-4/21) assuming x is positive. x**(-7796/105) Simplify ((a*a*a/a**(-6)*a**(4/17))**(-42))**34 assuming a is positive. a**(-13188) Simplify ((o/(o**35*o)*o*o**(-2/47)*o)/(o/(o**5/o*o)*((o*o**(22/7)*o)/o)/o))**23 assuming o is positive. o**(-243547/329) Simplify ((((x/x**(3/5)*x)/x*x)/x)/(x**7/x)*x*x*x**(-2/7)*x*x**(5/2))/((x*x/x**0*x*x)**25*((x*x**1)/x)/(x*x*x**(-3))) assuming x is positive. x**(-7167/70) Simplify ((p/(p/(p*p*p**(-19)/p)))**41*p/(p/(p/p**19))*p*(p/(p/p**(-15)))/p)**(13/6) assuming p is positive. p**(-3341/2) Simplify ((t/(t**(3/5)/t))/t)/t**(-5/6)*(t**1)**(-4/17)*(t**(1/2)/t*t*t**(-2))/(t**(-2)*t/(t/t**2)) assuming t is positive. t**(-128/255) Simplify ((n**2)**(1/21))**(5/7)*(n**(-2/9)/n*n/(n/(n**6/n)))**(-2/73) assuming n is positive. n**(-1142/32193) Simplify ((m**(-1/2)*m*m)**(-2)*(m**(1/4)/m)**(-2/13))/(m*m/((m*m*m**(-1/7)*m)/m)*m*(m**(-3/4)*m)/m)**(-30) assuming m is positive. m**(810/91) Simplify ((h**(5/9)*h*h*h**(-8/11))/((h/(h*h/h**(-32)*h*h))/h**(1/37)))**(-3/5) assuming h is positive. h**(-135001/6105) Simplify ((x**(1/4)/x**(-34))**(-8))**3 assuming x is positive. x**(-822) Simplify (((v**(-10/3)/v)/(v**22/v))**25)**7 assuming v is positive. v**(-13300/3) Simplify ((r**7*r*r)/(r/(r**3*r)))/((r*(r*r**(-1))/r)/r)**(2/73)*(r*r**7)/(r*r/r**(3/13))*r/r**(3/4)*r*r**(1/11) assuming r is positive. r**(818379/41756) Simplify (w**(2/7)/(w/(w/w**(-3)*w*w)))/(w/(w/w**(-1/5)*w)*w*w*w/(w*w**(2/9)/w))*((w**5*w)/w**1)/(w*w**(2/5)*w**(-6/5)) assuming w is positive. w**(536/63) Simplify ((y**(-1/12)*y**6*(y**14/y)/((y/(y**(-2/17)/y))/y))**(-2/67))**(7/6) assuming y is positive. y**(-25417/41004) Simplify ((q**(-17)/(q/q**28))/((q**(2/59)/q)/q)**(-19))**(-3/8) assuming q is positive. q**(2421/236) Simplify (z*z**(2/27)*z/(z**37*z))/(z*z*z**26*z*z*z/(z**(2/107)*z)) assuming z is positive. z**(-190406/2889) Simplify ((h/(h*h*h*h**39/h*h))/(h*h**(-2/11)))/((h/(h**(-2)/h))/h)**37 assuming h is positive. h**(-1681/11) Simplify ((j/(j**1*j))**(-4)/(j/j**(-1/4))**(-14/15))/(((j*j**(-1/2)/j*j)/j*j**(2/3))/(j*(((j/j**(-1/3))/j)/j)/j)**(-19)) assuming j is positive. j**(53/3) Simplify ((((h/h**0*h*h)/h)/h)**(6/5))**(3/50)*((h*((h*h/h**0)/h)/h)/h)**(-3/26)/(h/(h**(-1)/h)*h*h**6*h) assuming h is positive. h**(-1366/125) Simplify (((w**(2/19)*w*w**7*w)/((w*w/(w*w**10*w))/w*w**(-1/11)))**(-26/7))**(-10) assuming w is positive. w**(156780/209) Simplify (r**(-1/2)/r**(-3)*(r*r*r**(2/15))/(r**(-5)/r))/((r*r**6*r**(2/9))/(r**(-3/4)/(r**4*r*r))) assuming r is positive. r**(-601/180) Simplify (r**(-2)*r/(r/(r/((r*r*r**(-4/7))/r)*r)))**(-2/27)*(r/(r/(r*r**1/r))*r)**8*(r**(-1/7)/r)/(r/(r*r/(r*(r/r**(-4))/r))) assuming r is positive. r**(98/9) Simplify ((w**(-3/10)*w)/((((w/(w**7*w))/w)/w*w)/w))/(w**(4/7)*w**(-5))*w*(w/w**(-1/3)*w)/w*(w/w**(-2))/w*w**(3/4)/(w/((w**3*w)/w)) assuming w is positive. w**(8909/420) Simplify (u**(1/2)/(u/(u/(u/(u**(1/2)*u))*u)))**(-18/11)*u/(u**(-4/9)*u)*u*u*u**(-1)*u**(-3/5)/((u/u**(2/7)*u)/u) assuming u is positive. u**(-10889/3465) Simplify (b**(-1/3))**(4/9)*(b**(-1/3)*b)**(-25)*((b*b*b*b**(-2/19))/b**(-11))**(-2/3) assuming b is positive. b**(-13378/513) Simplify (((z**(2/9)/z)/z)/(z*z*z**(-2/11))*((z*z*z*z*z*z**(8/7)*z)/z)/z**(-10))**(3/37) assuming z is positive. z**(235/231) Simplify (((p/(p/((p*p*p**(-1)*p)/p)))/(p*(p**(-5/8)/p)/p))/(p**(-10)*p*(p**(-3/7)/p)/p*p))**(-38) assuming p is positive. p**(-13889/28) Simplify (g**(-19)*g*g**(-2/3)*(g**1)**(1/7))**(-5/4) assuming g is positive. g**(1945/84) Simplify ((d*(d**(4/7)*d)/d*d)/((d/(d/d**(2/11)))/d))**19/((d*d**(-1/6)*d/(d**(1/2)*d))/(d**7/(d**(-1/5)*d))) assuming d is positive. d**(81161/1155) Simplify ((d/(d/(d/(((d**(3/2)*d)/d)/d)*d)))**(-9)*d**23*d/d**16)**28 assuming d is positive. d**(-154) Simplify ((k/(k/(k**0*k)))**(-2/5)/(k/(k/k**(1/2)*k))**6)/(k**4*k*k**(3/7)*k/(k*k/(k/((k/(k/(k/(k/k**0*k)*k)))/k)))*k*k*k/k**(6/11)) assuming k is positive. k**(-2419/385) Simplify ((((d/((d*d*d**(2/5))/d))/d*d)/d)**48)**8*((d*d*d**(-2/9)/d*d*d)**(-1/5))**(-6) assuming d is positive. d**(-8014/15) Simplify ((d/(d**(-1/3)*d))/d**(-1))**(-40)/((d**2)**(3/5))**45 assuming d is positive. d**(-322/3) Simplify ((z*z*z*z**(-1/8)*z*z)**(-2/27))**(-33)/((z*z**6)/(z*z**(7/4))*z/(z/(z/((z**9/z)/z)))*z*z**3) assuming z is positive. z**(29/3) Simplify ((o**21/((o/(o/o**(1/2)))/o))/(o**25/(o/(o*o*o*o/((o*o**24)/o))*o)))**(-3/2) assuming o is positive. o**(-111/4) Simplify ((c/(c**7*c))/((c**5*c)/c))**25/((c**(2/7))**(2/13)*(c/(c*(c/c**(-3)*c)/c*c))/(c*c**0*c)) assuming c is positive. c**(-26667/91) Simplify ((n**(2/7)*n)/(n**(-1)/n))/
{ "pile_set_name": "DM Mathematics" }