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0 What is 2215775 rounded to the nearest 10000? 2220000 What is -1.8784661 rounded to 3 dps? -1.878 Round 25192300 to the nearest 1000000. 25000000 What is 110401.74 rounded to the nearest 100? 110400 Round 0.000154142 to 7 dps. 0.0001541 Round -0.137007 to one decimal place. -0.1 What is 467503 rounded to the nearest one million? 0 What is -0.00000133384 rounded to 6 decimal places? -0.000001 What is 0.02012546 rounded to three decimal places? 0.02 What is -8878995 rounded to the nearest 100000? -8900000 What is 0.00002524109 rounded to five dps? 0.00003 What is -5281700 rounded to the nearest 1000000? -5000000 What is 6332080 rounded to the nearest one hundred thousand? 6300000 Round -42.389 to the nearest ten. -40 What is -0.0013362 rounded to 4 decimal places? -0.0013 Round -2384.39 to the nearest 10. -2380 What is 115.326 rounded to the nearest 10? 120 Round 0.1068376 to three decimal places. 0.107 What is 4478.425 rounded to the nearest integer? 4478 Round -0.00036259565 to 5 dps. -0.00036 Round 371687 to the nearest 1000. 372000 Round 0.00000257553 to 7 dps. 0.0000026 Round 2236000 to the nearest 100000. 2200000 Round 0.000373829 to five dps. 0.00037 Round -0.883923 to three decimal places. -0.884 What is 7401.064 rounded to the nearest one hundred? 7400 What is -0.00001092909 rounded to 7 decimal places? -0.0000109 Round -0.43745652 to two decimal places. -0.44 Round 123527670 to the nearest 1000000. 124000000 What is -42326.31 rounded to the nearest 100? -42300 Round -0.0001466262 to six decimal places. -0.000147 Round -0.0000010170001 to seven dps. -0.000001 Round -0.0000275131 to 7 dps. -0.0000275 What is -0.0000306736 rounded to 7 dps? -0.0000307 What is -21099.95 rounded to the nearest 10? -21100 What is 0.00002895532 rounded to 6 dps? 0.000029 Round 1270.5 to the nearest ten thousand. 0 Round 838620 to the nearest 100000. 800000 What is 0.00000262484 rounded to seven decimal places? 0.0000026 Round 0.000131397 to four decimal places. 0.0001 What is 0.395065 rounded to 2 decimal places? 0.4 Round -1700.4242 to the nearest 100. -1700 What is -0.642484 rounded to 3 dps? -0.642 Round -6494.195 to the nearest one thousand. -6000 Round 4849.51 to the nearest 10. 4850 What is 11228266 rounded to the nearest one thousand? 11228000 Round 0.020739579 to 3 decimal places. 0.021 What is 18.78363 rounded to the nearest integer? 19 Round -0.03404859 to 3 decimal places. -0.034 Round 0.000001292305 to 7 decimal places. 0.0000013 Round 1620638 to the nearest 100000. 1600000 Round 107461.2 to the nearest 1000. 107000 What is 16.4585 rounded to one dp? 16.5 What is -0.06814042 rounded to three decimal places? -0.068 What is 2239.463 rounded to the nearest 100? 2200 What is 369.302 rounded to the nearest 10? 370 Round -0.000000629775 to seven decimal places. -0.0000006 What is 4.613713 rounded to 3 dps? 4.614 Round 0.13726 to two decimal places. 0.14 What is 2075330 rounded to the nearest 1000000? 2000000 Round 0.0000014312606 to seven decimal places. 0.0000014 Round 0.00012270641 to seven decimal places. 0.0001227 What is 1156975 rounded to the nearest 100000? 1200000 Round 460224 to the nearest one hundred thousand. 500000 Round 0.000710351 to 6 dps. 0.00071 Round -4426320 to the nearest one million. -4000000 What is 0.0004194744 rounded to 5 decimal places? 0.00042 Round -8893.62 to the nearest 10. -8890 What is -0.0090094 rounded to 5 dps? -0.00901 Round 95994.2 to the nearest one hundred. 96000 Round 0.12464645 to 5 dps. 0.12465 What is -1.4679279 rounded to one decimal place? -1.5 Round -132064 to the nearest 10000. -130000 Round -19600436 to the nearest 1000. -19600000 Round -0.000002611725 to 7 decimal places. -0.0000026 What is -315.61882 rounded to one decimal place? -315.6 What is -0.00571534 rounded to 5 dps? -0.00572 Round -121.73349 to zero decimal places. -122 Round -3516891 to the nearest 1000. -3517000 Round 0.00002492068 to 7 dps. 0.0000249 Round -901741 to the nearest one thousand. -902000 Round 0.1411119 to four dps. 0.1411 What is -3305.7113 rounded to the nearest integer? -3306 Round -9353.0924 to the nearest 10. -9350 Round -0.1330358 to 5 decimal places. -0.13304 What is 67251800 rounded to the nearest 1000000? 67000000 Round 0.0954605 to 3 decimal places. 0.095 What is -0.00555301 rounded to 4 decimal places? -0.0056 What is 0.00000047451 rounded to 6 dps? 0 What is 11188.6 rounded to the nearest 1000? 11000 Round -784.886 to the nearest 100. -800 Round 0.0002251191 to 5 decimal places. 0.00023 Round 8.0114068 to 1 decimal place. 8 Round 64962.3 to the nearest 1000. 65000 Round 95.41445 to the nearest 10. 100 What is 197347100 rounded to the nearest one hundred thousand? 197300000 What is -3.55443 rounded to two decimal places? -3.55 What is -30953300 rounded to the nearest 1000000? -31000000 Round -91.34282 to 0 dps. -91 Round 17.29198 to 1 dp. 17.3 What is 172510 rounded to the nearest 10000? 170000 What is -15.8393 rounded to 1 dp? -15.8 Round 0.000039976 to seven decimal places. 0.00004 What is 0.0035595 rounded to six dps? 0.00356 What is 39105600 rounded to the nearest 100000? 39100000 What is -0.40784237 rounded to 3 decimal places? -0.408 Round -1188.6485 to 1 decimal place. -1188.6 What is 19.491427 rounded to 1 decimal place? 19.5 Round -0.000229105 to six dps. -0.000229 What is -39238.095 rounded to the nearest one thousand? -39000 What is 67743.56 rounded to the nearest one hundred? 67700 What is -0.00010647 rounded to five dps? -0.00011 What is 0.00005927554 rounded to six decimal places? 0.000059 What is -0.000007718765 rounded to 7 decimal places? -0.0000077 Round -0.011946006 to 5 decimal places. -0.01195 Round 0.0000001965618 to seven dps. 0.0000002 What is -675.395 rounded to the nearest 100? -700 What is -145523.65 rounded to the nearest 100? -145500 Round -0.0002649903 to 6 decimal places. -0.000265 What is -76812800 rounded to the nearest one hundred thousand? -76800000 What is -13340.781 rounded to the nearest one hundred? -13300 Round 1513520 to the nearest ten thousand. 1510000 Round 2843370 to the nearest 10000. 2840000 What is -26190270 rounded to the nearest 100000? -26200000 What is -119647.64 rounded to the nearest one thousand? -120000 What is -494656 rounded to the nearest 1000? -495000 What is 506.971 rounded to 0 dps? 507 What is 69.53363 rounded to one dp? 69.5 Round -297.76989 to the nearest 100. -300 Round 0.0008357 to 4 decimal places. 0.0008 What is -0.00354069 rounded to two dps? 0 What is -17428.165 rounded to the nearest one thousand? -17000 What is -0.5361768 rounded to one dp? -0.5 Round 0.0000525427 to seven dps. 0.0000525 Round -0.000036417596 to seven dps. -0.0000364 What is 178901.7 rounded to the nearest 1000? 179000 Round 0.005001438 to five dps. 0.005 What is -0.00091742 rounded to four dps? -0.0009 What is -0.05446112 rounded to four dps? -0.0545 Round 0.126147 to 3 dps. 0.126 Round 0.0000230575 to seven dps. 0.0000231 Round 1.1109993 to 1 decimal place. 1.1 Round 0.010910947 to 3 dps. 0.011 Round 0.0741505 to 2 decimal places. 0.07 What is 2924750000 rounded to the nearest one million? 2925000000 Round 96.347 to the nearest integer. 96 Round -0.0092192 to three decimal places. -0.009 What is 190602.6 rounded to the nearest ten thousand? 190000 What is -0.005606005 rounded to four dps? -0.0056 What is 6842620 rounded to the nearest one hundred thousand? 6800000 What is -166498890 rounded to the nearest 1000000? -166000000 Round -52545500 to the nearest one hundred thousand. -52500000 Round 0.000598773 to six dps. 0.000599 What is -0.0000290509 rounded to 7 decimal places? -0.0000291 Round 620.4421 to the nearest ten. 620 Round -0.00295513 to five dps. -0.00296 Round 2314.685 to 0 decimal places. 2315 Round 7724.84 to the nearest one hundred. 7700 What is 0.005802205 rounded to 4 decimal places? 0.0058 Round -120217.5 to the nearest one hundred. -120200 Round 4234.43 to the nearest ten. 4230 Round 723870 to the nearest one million. 1000000 What is -0.0059229115 rounded to six decimal places? -0.005923 What is 0.00003878018 rounded to 7 decimal places? 0.0000388 Round 0.00374748 to 4 dps. 0.0037 Round -1.5965181 to 1 decimal place. -1.6 What is -0.00213225 rounded to 3 d
{ "pile_set_name": "DM Mathematics" }
= -t - x, t = 4*g + 11 for g. -3 Suppose 0 = -10*a - a + 33. Solve 8 = 4*o + 24, -22 = -5*c + a*o for c. 2 Let d be 4/(-14) + (-23)/(-7). Let y be 0/(-1 + -2) - -1. Suppose 0 = -4*i + 19 + y. Solve -d*x - x = -q + 24, -i*x = 4*q + 9 for q. 4 Let v = 26 - 18. Solve 0 = t + 3*p + 12, p + v = -p for t. 0 Suppose 5*g = s - 17, -2*g = 1 + 3. Solve 2*x - 5*i + s = 0, 3*x - 1 = i - 5 for x. -1 Suppose -30 = -2*f + 4*s, 3*f + 3*s = 2*f - 5. Solve 0 = -3*u - 9, u - 10 = 5*c + f for c. -4 Let u be (1/2)/(2/12). Let d = u - -3. Let a be (6 - 12)*(-2)/d. Solve 8 = a*x + 4*h + 22, 0 = -5*h - 10 for x. -3 Suppose a - 16 = -4*l, 3*a - 12 = -0*a. Solve k + k + 4*c = -6, -3*k - l*c - 6 = 0 for k. -1 Let k = -1 + 7. Let b be k/(-5 + 2) - -5. Solve 0*q + 19 = -b*q + 5*f, -22 = -q - 4*f for q. 2 Let i = -20 + 40. Suppose 4*n - 4 = i. Let b be 0*-1*3/n. Solve -2*a - k + 5 = b, 1 = -k + 6 for a. 0 Let m = 0 + 4. Let v(r) be the second derivative of -r**5/20 + r**4/4 + 2*r**3/3 + 2*r**2 - r. Let k be v(m). Solve -k*n = 3*g + 2, 3*g - 10 = n - g for n. -2 Let w(v) = 4 - 4*v**2 + v**3 + 6 - 5*v - 8. Let n be w(5). Suppose -n*x + 16 = -0. Solve 3*j + 14 = j + 2*t, -j = 2*t - x for j. -2 Let g = -20 + 32. Suppose 24 = 4*u - 3*r, -6 = -3*u - 2*r + g. Suppose 4*z + 6 = u*z. Solve x + 0 = z*h - 2, -2*x - 4*h = -16 for x. 4 Suppose 6*v = 5 + 13. Solve -2*m - 4*k + 0*k = -4, v*k - 1 = -2*m for m. -4 Let v be (-2)/(-2) - (2 + -6). Suppose -2*c = -3*t + c - 21, 6 = -3*c. Let m = t - -14. Solve -7*b - m*o + 10 = -2*b, 2*b + v*o - 10 = 0 for b. 0 Let j = -11 - -13. Solve -2*c - s + 10 = -0*s, -j*s - 25 = -5*c for c. 5 Let s = 6 + -1. Let r = 8 - -7. Solve 3*i - 3*m + r = 6*i, 20 = 4*i - s*m for i. 5 Let o be (-3)/3*(1 + -3). Let n be 1*(o + 5) - -2. Solve -2*g = -3*y + 2*g + n, -5*g = 5*y + 20 for y. -1 Let o(g) = -2*g - 22. Let b be o(-16). Solve 5*v - 2 = -2*x, -v + 2*x + 0*x = -b for v. 2 Suppose -3*d + 9 = -2*d. Let k = -13 + d. Let i = 1 - k. Solve -1 = -3*q + 5*c, -4*c + i = q - 1 for q. 2 Let z be (2 - (-1 - -3))/2. Suppose 2*q + 2 = z, 2*x - 7 = -0*q - q. Solve -2*v + 3*t + 9 = 0, 2*t = 3*v - x + 3 for v. -3 Let r = 14 - 12. Solve -3*z + 7 = -w + 14, -z - r = 0 for w. 1 Let s = -18 - -18. Solve a + 0*a + 3*k = 0, s = a + 5*k for a. 0 Suppose -m - j - 5 + 1 = 0, -8 = 3*m + 5*j. Let h = m - -9. Suppose -5 = 25*w - 5. Solve -2*a + 3*u + 17 = w, h*a - 2*a - 4*u = 16 for a. 4 Let y(z) = 21*z**3 - 2*z**2 + 2*z. Let x be y(1). Solve 0 = 5*r - l - x, 3*r - l = 5 + 6 for r. 5 Suppose 0*m + 30 = -2*m. Let g be (-132)/(-15)*m/(-6). Solve 0 = 2*h - 5*k + 5 - g, -4*k - 13 = -h for h. 1 Suppose 0*t + 5 = t. Solve -4*i - 7*f + 2*f + 2 = 0, 21 = t*i - 3*f for i. 3 Let q = -8 - -12. Let w(x) = x**2 - 2*x - 5. Let a be w(q). Solve -a*i + 2*i - 4*y = 17, 4*i + 13 = -5*y for i. 3 Let h = 0 - -3. Let t(g) be the second derivative of g**3/3 - 7*g**2/2 - 2*g. Let x be t(5). Solve 3*r - y = 6 - 3, -3*r = x*y - h for r. 1 Suppose -4*o + 8*o = 0. Suppose -85 = -5*v + 5*n - 25, o = -3*v + 2*n + 33. Solve -3*p = v, 2*d = -d + 2*p for d. -2 Let n(d) = -d**2 - 13*d + 5. Let o be n(-13). Solve -2*k = w - 5*w - 18, -o*k = -15 for w. -3 Suppose 0 = v - 3*o - 15, -5*v - 4*o + 25 = -9*o. Let p(g) = g - 2. Let h be p(2). Suppose h = k - 11 - 1. Solve -4*r - 2*i - k = 0, 6*i - i - 20 = v for r. -5 Let s(x) = -x - 2. Let c = 14 - 20. Let r be s(c). Solve -2*w - 6 = -2*m, w - r*m + 7 = -2 for w. -1 Let b be 54/10 - (-2)/(-5). Let f = b - -20. Solve 2 = -4*h - 3*g - 6, -h + 5*g - f = 0 for h. -5 Let o(z) = z**2 - z - 36. Let m be o(0). Let a = m - -15. Let v be 2/7 + (-225)/a. Solve -19 = 5*i - 3*x, -4*i + x - v = -0 for i. -2 Let o(j) = -4*j - 1. Let i = -18 - -15. Let k be o(i). Suppose 0 = c - 2*c - 2*d, 0 = 3*c - d - 14. Solve -c*n + k = v - 5, n - 9 = v for n. 5 Let d = 95 - 82. Suppose 0 = -4*h + 4*c + 80, -2*h + c = h - 58. Solve 2*y + 0*y + h = 3*s, s - 4*y - d = 0 for s. 5 Suppose d + m = -1, -d - 7 + 30 = -5*m. Let s = -2 + 4. Solve -2*x - 4 = s*x - p, -d*p = x + 1 for x. -1 Let t(s) = -s**2 + s + 3. Let o be ((-12)/(-42))/(1/14). Suppose o*v - g - 4 = g, -4*v = 5*g + 10. Let k be t(v). Solve 2*j = 3*i + 9, -i = -k*j + 2 + 8 for i. -1 Suppose 5*k - 16 = -1. Suppose -4*v = -4*s - 5 - 19, -k*v = 5*s + 14. Solve 0 = 4*j - v*j - 2*a - 8, -5*a - 20 = 5*j for j. 0 Let h = 5 - 8. Let q be (h - 1)*(-2 + 0). Suppose 3*z + 10 = q*z. Solve 0 = p - u + 1, 2*p - z = -2*u - 4 for p. -1 Let o = 15 - 11. Solve 0*l + 14 = -5*s + l, -3*s = -o*l + 22 for s. -2 Suppose -5*w + 4 = -11. Solve -3*t = -2*p + w, t = -3*p - 2*p + 16 for p. 3 Suppose -4*p + p = -18. Solve -4 = w - m, -2*w - 3*m - 11 = -p*m for w. -1 Let r = -39 + 64. Suppose 4*j = r - 9. Solve m = 4*b + b - 18, -18 = -j*b - m for b. 4 Suppose -7*u = -20*u + 52. Solve -u*f - 4 = -2*d - 2, 4 = 2*d - 2*f for d. 3 Let c(i) = -i**2 - 6*i - 4. Let o be c(-6). Let l be (o/3)/((-1)/(-3)). Let v(j) = -j**2 - 5*j. Let m be v(l). Solve d = 4*q - 4 + 1, 2*d - 3*q - m = 0 for d. 5 Let s(k) = k**3 - 6*k**2 - 6*k - 3. Let d be s(7). Solve 13 = -0*m + m - d*h, 10 = -2*m - h for m. -3 Suppose -7*q + 1 = -27. Solve -5*f = -q*n + 2*n - 10, -2*f + 8 = 0 for n. 5 Let d(h) = h**2 + 2*h + 1. Let k be d(-1). Let i = 1 - -6. Solve -3*p - i = 4*g - k*g, -2*g - 2 = 2*p for g. -4 Let y(n) = n**3 - 3*n**2 - 3*n - 3. Let r be 10/15*(-1 + 7). Let f be y(r). Solve -2*l = g - f, -3*l + 4 + 4 = -5*g for g. -1 Let t = -5 - -8. Suppose -t*u + 14 = -61. Solve 2*o + 5*j + u - 5 = 0, -3*j = -5*o - 19 for o. -5 Let o(r) = 4 + 9*r - 5*r + 0 - r**2. Let l be o(6). Let n = -6 - l. Solve -q - q - n*p + 2 = 0, -4*q = 2*p for q. -1 Let j be 4*2/6*-3. Let k be (-4)/(-4)*(1 - j). Solve -k*z = -10, -4*h - 2*z = -4*z + 12 for h. -2 Let z = -11 + 21. Suppose z = f + 6. Solve 23 = 2*y + 3*x, 2*x + 14 = y + f*x for y. 4 Suppose 5*y + 51 - 6 = 0. Suppose -i = -3*q - 17 - 17, q + 5*i = -22. Let x be q*((-6)/y - 1). Solve -z = -u + z + 1, -5*u + x*z = -11 for u. 3 Suppose -3*c = 14 - 26. Solve 3 = -2*v + c*d - 19, -5*v + d = 28 for v. -5 Suppose -g + 3*g = 16. Let x be (g/6)/((-6)/(-9)). Solve -4*c - v = -c + x, -c - 4*v - 8 = 0 for c. 0 Let s(v) be the first derivative of v**4/4 + 7*v**3/3 + 2*v**2 - 3*v - 2. Let r be s(-6). Let c = 5 + -3. Solve 4*o = 3*o - 4*i - r, c*o - 5*i + 5 = 0 for o. -5 Let x(w) = -3*w + 1 + 0 + 1. Suppose 0 = 2*s + 4. Let f be x(s). Solve -f*b + 6 = -4*b - 2*d, 5*b - 24 = -3*d for b. 3 Suppose -3*n - n + 16 = 0. Let s = n + 0. Solve 3 = -2*g + 3*x + 14, -g = s*x for g. 4 Suppose 2*r = 4*m + 18, -r + m = -0*m - 9. Solve 3*q - 2*y = -y - 7, r = -5*q + 3*y for q. -3 Suppose 5*m = 3*m + 10, -3*l + 3*m + 39 = 0. Let s(p) = -p. Let h be s(-3). Let c = -1 - -16. Solve 4*y + u = -h + l, 0 = 5*u - c for y. 3 Let y(k) = -k**2 + 7*k + 3. Let t be y(4). Suppose -p - 4*q = -t, q - 5*q = 2*p - 30. Let f be (-2)/(-10) + 42/p. Solve f*x + v + 4 = 15, v + 29 = 5*x for x. 5 Let a = 0 + 6. Let k be (2/a)/((-13)/(-156)). Solve -p - 5*g = -4, -k*p - 2*g = -2*p for p. -1 Suppose -5 = -2*s - 2*a + 9, -5*s = a - 27. Solve 0*i - 5*i - 35 = s*o, 2*i - 2*o = -6 for i. -5 Suppose -11 = -4*i - 3. Suppose 32 = -i*w + 6*w. Suppose -3*z = -w - 7. Solve -z*d - 3 - 1 = 4*x, 4 = x for d. -4 Suppose m + 0*m = 3. Solve 6*d + m = 2*d - y, 5*y = 4*d + 9 for d. -1 Suppose -38 = -4*r + 38. Suppose -3*t = -3*h - 14 - r, -3*t = -h - 35. Solve 4*g + t = -4*s, -2*g + 3*g = 2*s - 9 for s. 2 Suppose -23 = -3*o + 2*h, 0 = 4*o - o + 2*h - 19. Suppose 4*v + o = 19. Solve v = -3*k - k + q, 4*k = 2*q - 6 for k. 0 Suppose 5*i - 4*i = 0. Solve 0 = -5*d - 20, -2*q + 5*d + 14 = -i for q. -3 Suppose 0 = 3*z - 2 - 4. Solve 5*i = z*g + 11 + 14, -4*i = -20 for g. 0 Suppose 10 - 4 = -2*p, -5*p + 13 = 4*y. Let z = y - 5. Suppose 3*x = -4*u + 6 + 20, -16 = 2*x - 4*u. Solve -z*i + 3*j - 3 = 0, 4*i = x*i + 2*j for i. 3 Suppose -5 = -3*t - 5*s, -4*t = -3*t - 5*s + 5. Solve 4*u + 12 = 0, 5*r - 3*u - 9 = -t for r. 0 Let a = 128 + -106. Solve 2*p + 3*h + a = 0, 2*h = 3*p - 2*h - 1 for p. -5 Suppose 4*z - 7 = 93. Let a(t) = 19*t + 24. Let l be a(-1). Suppose 3*d = -2*d. Solve n - 25 = 4*v, -l*v + d*v = z for n. 5 Let t(o) = o**2 - 2*o - 3. Let q be t(4). Suppose -5 = -2*i + h + 3, 0 = -q*i - 2*h + 20. Solve r = -i*d + 10, r - 4*r - 2*d + 10 = 0 for r.
{ "pile_set_name": "DM Mathematics" }
- 13. Let g(m) = -2*m - 5. Let d(q) = q + 4. Give n*d(p) - 2*g(p). p - 2 Let m(v) = -v + 2. Let y(j) = 3*j - 4. Determine -5*m(f) - 2*y(f). -f - 2 Let g(f) = -7*f**3 - 8*f**2 + 2*f - 3. Let l(w) = -6*w**3 - 7*w**2 + 2*w - 2. What is -5*g(c) + 6*l(c)? -c**3 - 2*c**2 + 2*c + 3 Let u(k) = -8*k - 3. Let g(m) = -m. Let y = -36 - -76. Suppose 4*j = 5*s + 50, 5*s + 2*j - 4*j + y = 0. What is s*g(i) + u(i)? -2*i - 3 Let d(k) = -4*k**2 + 39*k - 31. Let u(h) = 3*h**2 - 26*h + 21. Let t(b) = 5*d(b) + 8*u(b). Let g(f) = f**2 - 3*f + 3. Calculate -26*g(v) + 6*t(v). -2*v**2 Let j(f) = -2*f**2 + 9*f + 3. Let o(q) = -q - 1. Determine j(r) + 4*o(r). -2*r**2 + 5*r - 1 Let m(n) = -6*n**2 - 17*n - 14. Let r(y) be the third derivative of -y**5/30 - y**4/4 - 5*y**3/6 - 4*y**2. Determine -6*m(f) + 17*r(f). 2*f**2 - 1 Let t(i) = 11*i**3 - 5*i**2 - 4*i**2 + 0*i**2 - 3. Let z be (-8 - -4)/((-5)/5). Let u(p) = 6*p**3 - 5*p**2 - 2. Give z*t(c) - 7*u(c). 2*c**3 - c**2 + 2 Let d(p) = -2 - 2*p + 4*p**3 + 2 + 5*p**2 + 8*p. Let y(h) = -h**2. Let t(f) = 3*f**3 + f**2 + 5*f. Let v(o) = t(o) - 3*y(o). Give 4*d(k) - 5*v(k). k**3 - k Let a(m) = 2*m - 2. Let z be a(5). Let t(s) = 5 + 0 + z*s + 3*s. Let u(n) = -5*n - 2. Determine 4*t(x) + 9*u(x). -x + 2 Let r(j) = -j + 1. Let s(c) = 7*c - 8. Give -24*r(x) - 3*s(x). 3*x Let t(g) = -2*g - 42*g**2 - 49*g**2 + 90*g**2. Let p be 4/(-14) + (-12)/7. Let u(a) = -a. Calculate p*u(z) + t(z). -z**2 Let u(v) = 7*v**2 + 3*v - 3. Let w(a) = a**2 - a. Let z(b) = -u(b) + 6*w(b). Let o(k) = -k**2 - 13*k + 4. Determine 5*o(s) - 7*z(s). 2*s**2 - 2*s - 1 Let v(o) = -3*o. Let s(b) = 4*b - 1. Suppose -q - 10 = -6*q + 5*k, -5*q - 5*k - 30 = 0. Give q*s(h) - 3*v(h). h + 2 Let o(s) = -4*s**2 - 3*s - 2. Let j(a) = -a - 1. Calculate 6*j(f) - 3*o(f). 12*f**2 + 3*f Let x(a) = -a - 6. Let n(k) = -3*k - 19. What is -3*n(c) + 8*x(c)? c + 9 Let d(j) = -3*j + 3. Let w(v) = -v. Give -d(h) + 9*w(h). -6*h - 3 Let q be 1/(1*1/(-2)). Let u(x) = -x**3 + 2*x**2 + 4*x. Suppose 14 = 5*d - 21. Let f(h) = -4*h**3 + 6*h**2 + 13*h. Give d*u(a) + q*f(a). a**3 + 2*a**2 + 2*a Let d(g) = 45*g - 25. Let t(z) = 1. Calculate -d(j) - 25*t(j). -45*j Let j = 10 - 18. Let x = -6 - j. Let u(q) = -3*q - x*q**2 + q**3 - 2*q**3 - q. Let m(k) = k**3 + 3*k**2 + 5*k + 1. Calculate 2*m(f) + 3*u(f). -f**3 - 2*f + 2 Let g(a) = 29*a - 3. Let n(i) = -10*i + 1. Let b(z) = -6*g(z) - 17*n(z). Let r(j) = j - 1. Calculate -b(s) - 2*r(s). 2*s + 1 Let v(l) = l - 1. Let q(n) = 7*n + 2. Let k(o) = -q(o) + 5*v(o). Let s(z) = z + 2. Calculate -2*k(h) - 7*s(h). -3*h Let t(x) = -8*x**3 - 8*x**2 - 17*x - 25. Let i(o) = -o**3 - o**2 - 2*o - 3. Calculate 51*i(s) - 6*t(s). -3*s**3 - 3*s**2 - 3 Let g(s) be the third derivative of -s**4/24 - s**3/6 + 6*s**2. Let o(v) = -2*v**3 - 6*v - 6. Determine -6*g(p) + o(p). -2*p**3 Let m(r) = -r**3 + 4*r**2 + 13*r - 5. Let f be m(6). Let v(q) = 2*q + 3 - 7*q**2 + 2*q - 7. Let z(u) = -u**2 + u - 1. Give f*v(i) - 5*z(i). -2*i**2 - i + 1 Let a be (1 - 0)*-1 - 1. Let v(x) = x**3 + 3. Let f = -127 + 133. Let j(n) = 1. Calculate a*v(y) + f*j(y). -2*y**3 Let i(q) = -3*q - 5. Let v(l) = 8 - 2 - 7. Let k(w) = i(w) - 5*v(w). Suppose 3*r - 2 = -0*r + 5*n, 2*r + 3*n + 5 = 0. Let u(o) = -o. Calculate r*k(g) + u(g). 2*g Let t(s) = -s + 3. Let f(g) = -1. Determine -2*f(x) + t(x). -x + 5 Let z(m) = -2*m**2 + 3*m - 3. Let q(o) = 3*o**2 - 2*o + 2. Let u = -39 - -37. Calculate u*z(g) - 3*q(g). -5*g**2 Let u(p) = 4*p**3 + 4*p - 3. Let o(s) = -7*s**3 - 7*s + 5. Suppose 3*b = 6 + 9. Give b*u(v) + 3*o(v). -v**3 - v Let t(c) = 20*c**3 + 17*c**2 - 17*c + 3. Let u(h) = -h. Suppose -3*l = -22 + 4. Let p be u(l). Let z(b) = -7*b**3 - 6*b**2 + 6*b - 1. What is p*t(x) - 17*z(x)? -x**3 - 1 Let y(o) = 1. Let u(b) = 5*b + 5. Give u(g) - 6*y(g). 5*g - 1 Let s(z) = z. Let m = 0 + 3. Suppose -1 = m*n - 4. Let c(o) = 4*o**2 - 4*o + 2. Let x(d) = d**2. Let j(l) = -c(l) + 2*x(l). Give n*j(i) - 6*s(i). -2*i**2 - 2*i - 2 Let l(r) = 5*r - 2. Let p(m) = -m + 1. Let b = 0 - 0. Let k be -1 + 0 + b/(-3). Calculate k*l(d) - 3*p(d). -2*d - 1 Let c(h) = -3*h + 7. Let v(r) = -2*r + 5. What is 5*c(m) - 7*v(m)? -m Suppose -5*i = -4*q + 10, 0 = -i + 4*q - 5*q + 7. Let c(x) = -x + 1. Let m(v) = -12*v + 10. Determine i*m(p) - 20*c(p). -4*p Let m(j) = 6 + 0*j**2 - 4*j**2 - 7 + 8*j**2. Let w be m(1). Let c(t) = t - 1. Let o(u) = -2*u + 1. Give w*c(v) + o(v). v - 2 Let z be ((-4)/5)/((-28)/(-15) - 2). Let y(o) = -7*o**3 - 6. Let n(d) = 6*d**3 + 5. What is z*n(v) + 5*y(v)? v**3 Let q(p) = -p + 15. Let t(h) = -h + 22. What is 7*q(c) - 5*t(c)? -2*c - 5 Let q(l) = 2*l**2 - 3*l + 12. Let s(a) = 6*a**2 - 8*a + 36. Give 11*q(p) - 4*s(p). -2*p**2 - p - 12 Let y = -16 - -27. Let l(a) = 3*a + 14. Let i(j) = -j - 5. What is y*i(r) + 4*l(r)? r + 1 Let o(m) = 2 + 1 - 4. Let s(a) be the first derivative of 12*a + 0*a**2 + 2 - 2/3*a**3. Calculate -12*o(w) - s(w). 2*w**2 Let n(t) = -2*t. Let s(o) = -5*o + 2. Give -4*n(r) + 2*s(r). -2*r + 4 Let s(p) = 24*p - 2. Let t(x) = 49*x - 3. Give -7*s(c) + 4*t(c). 28*c + 2 Let w(j) = 2*j + 2. Let l be 2/4 - (-5)/2. Let p(s) = -25 + 21 - l*s - s. Determine 3*p(v) + 7*w(v). 2*v + 2 Suppose 0 = 5*h - 15 - 15. Let q(a) = -2*a**3 - a**2. Suppose 5*m = 2*r - 6*r - 45, -5*m = -3*r + 10. Let c(u) = -2*u**3 - u**2. Give h*c(j) + m*q(j). -2*j**3 - j**2 Let z(v) = v**2 - 4*v - 4. Let r(q) = -4*q**2 + 21*q + 21. Give 2*r(u) + 11*z(u). 3*u**2 - 2*u - 2 Let z(k) = k**3 + 2*k**2 + 2. Suppose 5*y + 0 + 25 = 0. Let b(w) = 3*w**3 + 5*w**2 + 5. Determine y*z(o) + 2*b(o). o**3 Let x(w) = -8*w**2 - 17*w + 13. Let t(i) = -2*i**2 - 4*i + 3. Give 9*t(q) - 2*x(q). -2*q**2 - 2*q + 1 Let j(c) = -4*c**3 + 14*c**2. Let h(p) = -p**3 + 3*p**2. Let o(y) = y**2 - 10*y + 10. Let d be o(8). Calculate d*j(a) + 28*h(a). -4*a**3 Let o(g) = -29*g**2 - g - 3. Let a(b) = -59*b**2 - 2*b - 5. Calculate -3*a(t) + 5*o(t). 32*t**2 + t Let w(u) = -7*u + 21. Let h(s) = s - 1. What is 21*h(g) + w(g)? 14*g Let s(c) = 4*c**2 + 3*c. Let l(p) = 2*p**2 - 5*p. Let a be l(3). Let g(z) be the first derivative of -2*z**2 - 5/3*z**a - 3 + 0*z. Give -5*g(m) - 6*s(m). m**2 + 2*m Let i(y) = -1. Let x(o) = o**2 + o. Let g = 5 - -1. Suppose -f - 15 = -g*f. Let a(h) = h**2 + h. Let r(w) = f*x(w) - 4*a(w). What is i(u) - 2*r(u)? 2*u**2 + 2*u - 1 Let p(w) = 5*w - 4. Let y = 16 - 14. Suppose 3*z + 8 = -2*v, -z - 4 = -y*z - 4*v. Let a(c) = -3*c + 2. Give z*p(t) - 7*a(t). t + 2 Let f(w) = 1. Let m(s) = 9*s + 9. Give -27*f(n) + 3*m(n). 27*n Let v(o) = 2169*o**2 - 2 - 2*o - 1087*o**2 - 1085*o**2. Let h(g) = 7*g**2 + 4*g + 5. Suppose -5*u + 4 = -4*u. Give u*h(c) + 9*v(c). c**2 - 2*c + 2 Let c(g) = 26*g**2 + 10*g - 10. Let o(h) = -5*h**2 - 2*h + 2. Calculate -2*c(d) - 11*o(d). 3*d**2 + 2*d - 2 Let a(q) = q**2 - 3*q - 3. Let o(c) = c + 1. Suppose 2 = 5*u - 3*s, 4*s - 2*s + 10 = -u. What is u*a(m) - 6*o(m)? -2*m**2 Let p(h) = 4*h**3 + 7*h - 7. Let i(r) be the first derivative of -r**4/4 - r**2 + 2*r - 2. Let v = -2 - -6. What is v*p(u) + 14*i(u)? 2*u**3 Let f(d) = 9*d - 19. Let z(m) = -4*m + 9. Suppose -22 = 2*b - 4*g, 4*b - g + 55 = -4*g. Calculate b*z(h) - 6*f(h). -2*h - 3 Let g(s) = -s**2 + s. Let i = 84 + -82. Let q(a) = 3*a**2 - 4*a. Calculate i*g(p) + q(p). p**2 - 2*p Let b(w) = -2*w**2 + 17*w - 3. Let x(v) = 2*v**2 - 18*v + 4. What is -5*b(g) - 4*x(g)? 2*g**2 - 13*g - 1 Let i(j) be the first derivative of -8*j**2 - 13*j - 39. Let v(h) = -11*h - 9. Suppose -38 = 4*a + 2*l, -3*a - 13 = -4*a + 4*l. What is a*v(b) + 5*i(b)? -3*b - 2 Let b(j) = 36*j - 16. Let z(l) = -7*l + 3. What is 3*b(o) + 16*z(o)? -4*o Suppose 23 = 2*s + 41. Let j(i) = 5*i**3. Let p(k) = 11*k**3. What is s*j(b) + 4*p(b)? -b**3 Let c be (-13)/(-1 + -1 + 1). Let b = 12 - 12. Suppose 3*a = -b*u + u - 7, 0 = -3*a - 4*u + c. Let l(n) = -3*n - 3. Let z(k) = -k - 1. Give a*l(y) + 2*z(y). y + 1 Let j(d) = -23*d**2 + 5*d. Let n(g) = 70*g**2 - 16*g. Give -16*j(p) - 5*n(p). 18*p**2 Let h(x) = 3*x**3 - 5*x**2 + 4*x - 3. Let m(d) = d**2 + 15*d + 9. Let p be m(-14). Let n(k) = k**3 - 2*k**2 + 2*k - 1. What is p*n(i) + 2*h(i)? i**3 - 2*i - 1 Let o be (1/1)/(1/39). Suppose -36 = -5*m - 3*j, j + o = 3*m + m. Let g(w) = 4*w - 3. Let i(u) = -17*u + 13. Calculate m*g(x) + 2*i(x). 2*x - 1 Suppose v = -0*v + 1. Let d(q) = -6 + 2 -
{ "pile_set_name": "DM Mathematics" }
. t**(22/3) Simplify (((t**(2/47))**(-1))**(-46))**33 assuming t is positive. t**(3036/47) Simplify (((q/(q/(q*q**2/q)))**(-18))**27)**44 assuming q is positive. q**(-42768) Simplify (s**(1/2))**(1/2)*(s**(-2/11))**12 assuming s is positive. s**(-85/44) Simplify (b*((b*b**4/b)/b)/b*b)**(-2/55)/((b/b**24)/b*(b**(-30)*b)/b) assuming b is positive. b**(2962/55) Simplify (l**(-3))**(-45)*(l**(1/3))**(-2/9) assuming l is positive. l**(3643/27) Simplify ((f*f**(3/2))/f)/f**(1/12)*f*f**7*f*(f*f**(-1/7)*f*f)/f assuming f is positive. f**(1031/84) Simplify (b*b**(-5/3))**46/((b*(b**(-2/59)*b)/b*b)/b**(1/13)) assuming b is positive. b**(-74911/2301) Simplify (a/(a*a**(4/11)))**18*a**1*a*a*a*a**(-5/3) assuming a is positive. a**(-139/33) Simplify ((x**(-1/7)*x/x**(-1/4))/(x**(4/9)/(x*x*x**(-2)/x*x)))**(6/25) assuming x is positive. x**(167/1050) Simplify (c**9)**19*(c*(c*c**(1/40)*c)/c*c*c)/(c*c/c**29*c*c) assuming c is positive. c**(8001/40) Simplify ((h**(-8/7)*h*h*h*h/(h*h**(-3/2)*h))**42)**(15/2) assuming h is positive. h**(1485/2) Simplify ((((o/o**0)/o)/(o**(3/2)*o))/(o*o*o**(1/3)*o)**25)**(-4/39) assuming o is positive. o**(1030/117) Simplify ((x/x**(-9))/x)**(-2/137)/(x**(-1/7)/x**(-3/10)) assuming x is positive. x**(-2767/9590) Simplify h/h**(-20)*h*h**(1/11)*h*h*(h*(h/(((h/((h*h**(-16))/h))/h)/h))/h*h*h)/(h*h*h/(h*h**1)) assuming h is positive. h**(122/11) Simplify (w**(-2/3)*w)**14/(w/w**(-3/5)*w**(2/43)) assuming w is positive. w**(1948/645) Simplify (y**(-9)/(y/(y/y**(9/2))))/(y**(3/2)/(y/y**5)) assuming y is positive. y**(-19) Simplify k**(2/43)/(k**(2/25)*k*k)*(((k*k**(-14)*k*k)/k*k)/k)/(k/(k*k*(k**(-2/57)/k)/k)*k) assuming k is positive. k**(-984602/61275) Simplify ((y**(-1/2)*y)/(y*y**13/y))/(y/(y**(-1/7)*y))**(3/7) assuming y is positive. y**(-1231/98) Simplify ((c**(2/3)/((c**0/c)/c))**(2/41))**48 assuming c is positive. c**(256/41) Simplify (o**(-4)/o*(o*o*o**(6/5)/o*o)/o)/(o*o*o**14*o*o**(-19)) assuming o is positive. o**(-4/5) Simplify (v**(2/15)*(v*v*v**7/v)/v)/(v/v**(2/13))**(-34) assuming v is positive. v**(7001/195) Simplify (((f**(-7)/f)/f**(-6))**19)**50 assuming f is positive. f**(-1900) Simplify n**(3/4)/(n/(n**(-4)*n))*(n**(-2/5)*n)/n*n/((n**(3/16)/n)/n) assuming n is positive. n**(-67/80) Simplify ((h/(h*h**(9/8)*h))/h*h/(h/(h*(h*h**(-2))/h)*h))/(h/(((h**(-4)/h)/h*h)/h))**(-37) assuming h is positive. h**(2031/8) Simplify (f**(1/10))**13*f/(f**(-23)/f)*f**(-9/8) assuming f is positive. f**(1007/40) Simplify (g**(12/5)/g)/g**22*g**8/(g*g**(-17/2)) assuming g is positive. g**(-51/10) Simplify (((g*g**(-1/3))**42)**(-2/87))**(-47) assuming g is positive. g**(2632/87) Simplify ((i*i**13*i)**(-1/20))**(-3/13) assuming i is positive. i**(9/52) Simplify u/u**12*u**(-13)*(u**(-1/15)*u)/(u/u**(3/4)) assuming u is positive. u**(-1399/60) Simplify ((s**8*s**5)**(-18))**32 assuming s is positive. s**(-7488) Simplify (d**(-4))**(-43)*(d/d**(-1))**(7/8) assuming d is positive. d**(695/4) Simplify (x**(-6/5)*x**(-6/11))/(x**(-8)*x**(8/3)) assuming x is positive. x**(592/165) Simplify (d**30)**(-48)*(d**(-30))**(-35) assuming d is positive. d**(-390) Simplify ((n*n*n**(2/7))/(n*n**(-6))*n/(n/n**11)*n**11)**(-2) assuming n is positive. n**(-410/7) Simplify (w**30*w/((w/w**(-2/3))/w))/((w*w**8)/(w*w**13)) assuming w is positive. w**(106/3) Simplify ((b**(-1/4))**31/((b/(b**(-1)/b))/b)**(-19))**14 assuming b is positive. b**(847/2) Simplify ((h*h**5)**(1/22))**11 assuming h is positive. h**3 Simplify (s/s**(2/5))/((s**(1/35)/s)/s)*(s**6)**(-4) assuming s is positive. s**(-150/7) Simplify ((k*k**(-4))/(k*(k**6/k)/k)*k**(-6)*k/(k/(k*k/((k*(k**(2/5)/k*k)/k)/k*k))))**(-29) assuming k is positive. k**(1798/5) Simplify v/(v/(v*v**37))*v*v*(v*v**12)/v*v**(1/31)*v*v*v*v**(-3/8)*v assuming v is positive. v**(13803/248) Simplify ((c*c**(2/21))/(c**(4/3)/c))/(c*c**6/c*c**(-6)) assuming c is positive. c**(16/21) Simplify (q/(q/(q*q/(q/(q**(-1/7)/q))*q))*q*q*q**(-2)*q)/(q**(-12)*(q*q**(-9)/q)/q) assuming q is positive. q**(167/7) Simplify (m*m**(-1/4))**15*(m*m/m**12)**0 assuming m is positive. m**(45/4) Simplify ((q**(1/2)*q)**(-8/5)/(q*q**(-3/7)/q*q*q*q**4))**(3/47) assuming q is positive. q**(-837/1645) Simplify (i/(i*i/i**(-7/6)*i)*i)/i*i*i*i*i**16/i*i**(7/2)*i*i**19 assuming i is positive. i**(115/3) Simplify (i/(i/(i/(i*i/(i**(-1/5)/i)*i*i))))**(-3)/(i*i*i*i**(-1/6)*i)**(-1/10) assuming i is positive. i**(779/60) Simplify (w**2*w/w**(-9))/(w**7*w*w*w**(-7)*w) assuming w is positive. w**9 Simplify (p/p**(-3))**31*(p/(((p**(-3/10)/p*p)/p*p*p)/p))**(-25/6) assuming p is positive. p**(1423/12) Simplify y**(-13)*y*y*(y*(y/(y*y**(-19)))/y)/y*y*y/y**7*y*(y/y**(-3)*y)/y assuming y is positive. y**7 Simplify (f**(3/8))**(-1)*(f**(1/4))**3 assuming f is positive. f**(3/8) Simplify z**27*z/z**(-21)*z/z**11*(z**33/z)/z assuming z is positive. z**70 Simplify ((s*s**23)/(s*s**(-16/9)*s*s))**(-2/13) assuming s is positive. s**(-410/117) Simplify ((h**(-7)/(h*h**7))/(((h*h**(-1/2))/h)/h**1))**(-42) assuming h is positive. h**567 Simplify (i/(i**(2/7)*i*i)*i*i*i/(i/(i*i**26/i)))/(((i*(i*i**(1/6))/i*i)/i*i)/(i*i/(i/(i*i**(4/7)))*i)) assuming i is positive. i**(1181/42) Simplify (j/(j*j**(6/11)))/(j*j**(15/7)*j)*(j*(j*j**(-20))/j)/(j**(-2/43)*j) assuming j is positive. j**(-81589/3311) Simplify (o/(o/(o**(-3/4)*o))*o)**24/(o*o*(o*o**(5/4)/o)/o*o**(8/3)) assuming o is positive. o**(301/12) Simplify ((a**(-2/25)*a)/a**(-5/3))/(((a**(1/15)*a)/a)/(a*a**(2/7))) assuming a is positive. a**(666/175) Simplify (r/((r*r**(-6))/r*r))/r**(-1/26)*(r/(r*(r*r**(1/3)*r)/r))**(-2/37) assuming r is positive. r**(17635/2886) Simplify (y**1/y)**(30/11)/((y*y/(y*(y*y*y/(y**(-5/4)*y))/y)*y*y*y)/(y/((y/y**(-1))/y*y*y))) assuming y is positive. y**(-15/4) Simplify ((x**21)**(24/7))**(-1/15) assuming x is positive. x**(-24/5) Simplify (z**(-4/3)*((z*(z/z**(-3/4))/z)/z)/z)/(z/(z/z**6))**(3/4) assuming z is positive. z**(-73/12) Simplify v**(2/59)*v*v**(-1/4)*(v**(-1))**(4/5) assuming v is positive. v**(-19/1180) Simplify (x*x**(-24)*x)**35*(x/((x*x*x/((x*(x/(x/x**17)*x)/x)/x*x)*x*x)/x))**(-26) assuming x is positive. x**(-1160) Simplify (l*l**(-9))**(-8)*l/(l**(4/5)/l)*l**(12/5)/l assuming l is positive. l**(333/5) Simplify ((y**(2/13)*y)/(y/y**10))**19 assuming y is positive. y**(2508/13) Simplify (y**(-1))**10/(y**(-1/8))**(-2/43) assuming y is positive. y**(-1721/172) Simplify (((j/(j/(j*j**(-1))*j))/(j/(j*j*j*j**8*j)))/(j**0)**(1/5))**(-1) assuming j is positive. j**(-10) Simplify (o**3)**(-2/13)/(o/(o/o**(6/5)))**6 assuming o is positive. o**(-498/65) Simplify (q/q**10*q)**16/(q**(-22)*q**(-2/11)) assuming q is positive. q**(-1164/11) Simplify n*n/(n*n**(-2/9))*n*n**(-6)*(n**(3/4)/n)**(-47) assuming n is positive. n**(287/36) Simplify (b**7/b)**(1/35)/(b**(-14)*b*b*b/(b**16*b)*b) assuming b is positive. b**(951/35) Simplify ((j*j*j/(j/(j/j**(-2/5))*j))**(-12/7)/(j*j**(-1))**16)**(-3/2) assuming j is positive. j**(216/35) Simplify (b/(b*b**26)*(b*b**(1/16))/b)**(-7/4) assuming b is positive. b**(2905/64) Simplify (q**(1/7)/q**(2/15)*(q/q**(2/19))/(q**(-2/13)/q))**(1/4) assuming q is positive. q**(53377/103740) Simplify (v*v*v*v*v**0/v)**(-4/3)/(v**(2/33)*v/v**(-12)) assuming v is positive. v**(-563/33) Simplify (p/p**26)/(p**(-10)*p)*(p**10)**(4/9) assuming p is positive. p**(-104/9) Simplify (b*b**(-3/2))**(1/4)/(b/b**(-10/7)*b*b/b**(-4/7)) assuming b is positive. b**(-41/8) Simplify (k**(-2/11)/(k*k**(-9)))/(k*k/k**(-4)*k*k)**(3/7) assuming k is positive. k**(338/77) Simplify ((h/(h*h**13)*h)**44)**(-3) assuming h is positive. h**1584 Simplify (h**(2/19)/(h**(3/2)/h)*h*h*h**(-1/3)*h*h**(-2/17))**3 assuming h is positive. h**(4175/646) Simplify ((m**(-1/4)/m)**(-14/5)/(m**(-1/2))**(2/5))**25 assuming m is positive. m**(185/2) Simplify (c/(c*(c*c**(-1/18)*c)/c))/(c*c/(c*c*c*c**(-8/5)*c)*c)*(c**(-5))**(5/2) assuming c is positive. c**(-632/45) Simplify ((g/g**(-10))/g)/g**(-1/7)*(g/(g/(g**(1/14)*g)*g))**26 assuming g is positive. g**12 Simplify ((w*(w*w**2*w)/w*w**(1/2))/(w**(-1/3))**22)**(-2/21) assuming w is positive. w**(-71/63) Simplify (l*l**(-2/27)/l*l*l*l**27*l*l)/(l**21/l)**(-1/8) assuming l is positive. l**(1805/54) Simplify (n**(-1/3))**(-13)/(n*n**2*n**(6/5)) assuming n is
{ "pile_set_name": "DM Mathematics" }
ich is the third smallest value? (a) o (b) w (c) -0.1 b Let u = -69 - -62. Let s = 0.39 - -0.01. What is the second smallest value in u, 0.1, s? 0.1 Let s = -3047 - -3049. Let j = -0.1 - 0.2. Which is the third biggest value? (a) s (b) j (c) -2/5 (d) 0.5 b Let g = 48 - 47.94. Let y = 3.94 + g. Which is the smallest value? (a) -5 (b) y (c) 2/5 a Let x = -0.0905 + -0.0095. What is the fourth smallest value in x, -4, -0.8, 0? 0 Let c = -9.95 + -581.05. Let d = c - -587.99. Let f = d + 0.01. What is the second biggest value in f, -0.5, 4? -0.5 Let u be 11 - ((-3)/(-4) - (-10)/8). Let n be (-5)/(30/9)*30/u. Which is the second smallest value? (a) -0.3 (b) n (c) -2.1 (d) 1/6 c Let n = 3 + -3.06. Let z = 3.94 - n. Suppose 411*p - 4 = 409*p. Which is the smallest value? (a) p (b) z (c) -0.5 c Let n = -7.1 + -2.7. Let w = n - -9.6. Which is the biggest value? (a) 5 (b) -5 (c) w a Let d = 2 - 1.9. Let f = 202/5 + -41. Let v = 14 - 10. Which is the third smallest value? (a) v (b) f (c) d a Let c = 5 + -4. Let f = -1.6 + c. Let k = -886 + 887. What is the biggest value in f, 0, k? k Let i(z) = -z**2 + 5*z + 7. Let q be i(6). Let d = -36 + 35.8. What is the biggest value in q, 0.1, d? q Let v = 419.9 + -420. Which is the second biggest value? (a) 56 (b) -2 (c) v c Suppose 0 = 7*a + 334 + 2578. Let p be 6/(-10)*(-6242)/(-9). Let c = p - a. What is the third biggest value in 1, c, -3? -3 Let a = -0.15 + -0.55. Let o(p) = -p**2 - 12*p - 31. Let v be o(-6). What is the second biggest value in 2/9, v, a? 2/9 Let h = 697/7 - 100. Let j = 228.6 + -230. Which is the third smallest value? (a) -3 (b) j (c) h c Let g = -0.65 - -2.6. Let c = 0.05 + g. What is the fourth smallest value in 3/7, 3, 6/11, c? 3 Let u be 24/16 - (-28)/(-8). Which is the third biggest value? (a) 0.3 (b) u (c) -1/4 b Let r be ((-8)/22)/((1 - 4) + 6). Let o = r + -32/99. Which is the fourth smallest value? (a) 5 (b) o (c) 0.26 (d) -0.1 a Let h = 0.3 - 1.3. Let u be ((-4906)/495 + 10)*6/4. What is the smallest value in h, 0, u, 0.2? h Let j = 4301 - 30188/7. Let u = 2147/7 - 295. Let v = j + u. Which is the biggest value? (a) v (b) -2/7 (c) 0.06 a Let o = -59/4 - -15. Let p = 145/8 + -2481/136. What is the biggest value in o, 5, p? 5 Let w be 6/15*((-52)/(-8) - 7). What is the third biggest value in -4/5, 2, w, 1? w Let h = 291/8 + -36. Let o be ((-4)/8)/((-1)/(-14)). Let q = o - -11. Which is the second biggest value? (a) h (b) -4 (c) q a Let y(q) = q**2 + 46*q + 92. Let r be y(-2). What is the second smallest value in -4/5, r, 1/3? 1/3 Suppose 2*v - l - 35 = -v, 0 = -3*l + 12. Suppose -v*d = -9*d + 240. Let n be 25/d*(-9)/(-10). What is the third biggest value in n, -1, 5? -1 Let q = 0 - 2. Let r = -8 - -9. Let j = -1.01 + r. Which is the third biggest value? (a) j (b) -1 (c) q c Let t = 7 + -19. Let p = -11.7 - t. Which is the second smallest value? (a) 9 (b) p (c) 0.5 c Let w = 1.83 + 0.17. What is the smallest value in -2, 1/2, w, 3/5? -2 Let p = 297/2093 + 2/2093. Which is the second smallest value? (a) 0.87 (b) 0.1 (c) p c Suppose 10 = -w + 9*p - 5*p, 0 = -5*w - 5*p + 25. Let b = 0.8 - 0.5. What is the second biggest value in -2, b, w? b Let z(f) = -f**3 + 4*f**2 - 2*f - 3. Let m be z(3). Let j = -17.538 + 0.038. Let x = 17 + j. Which is the third smallest value? (a) x (b) -2 (c) m c Let p = 7 + -11. Suppose 0 = 20*b + 7 + 13. What is the biggest value in b, 1/6, p? 1/6 Let z = 25.3 + -25.1. Let c = 0.11 + -0.21. What is the second biggest value in c, 3, -6, z? z Let y = -1.2 + 0.2. Let u = 0.59 - 0.29. Let p = 49/2 - 25. What is the smallest value in p, u, y? y Let x = -2269 + 13619/6. Let w = 0 - 0. Let t = 0.3 + w. Which is the biggest value? (a) t (b) -3 (c) x c Let j = 0 + 0.5. Let b = -927 + 6487/7. What is the smallest value in 2/5, -0.2, b, j? b Let b = -25.82 + 21.82. Let a = -0.3 + 0. What is the second biggest value in 2/3, b, a? a Let j be -1 - (27/(-9) - (-9)/4). Let t be (-18)/12 + (-7)/(-6). What is the smallest value in -3, t, j? -3 Let v = 442 - 515. Which is the second smallest value? (a) 0.3 (b) 0.2 (c) 2 (d) v b Let b = -152 + 163. What is the third smallest value in -0.8, 3, b? b Let s = -99 - -98.94. Which is the biggest value? (a) 1/4 (b) 0 (c) 2/15 (d) s a Let t = -0.1 - -0.3. Let j = -31.77 + 33. Let x = -0.23 + j. Which is the second biggest value? (a) x (b) -0.3 (c) t c Let n = -3 - -3.1. Let w = 3.9 + n. Let o = 470.7 - 471. What is the third smallest value in w, o, 4/9? w Let y = -114 - -113.5. Which is the third smallest value? (a) y (b) -2.3 (c) 2/15 c Let s(y) = y - 5. Let k be s(4). Let j be 10 - 11 - (0 - k). Which is the third smallest value? (a) -3 (b) 4/13 (c) -0.4 (d) j c Let w = 299/8 + -37. Let v = 0.08 + 3.92. Let z = 4 - -1. What is the third smallest value in z, v, w? z Let w = 47 - 46. What is the second smallest value in w, 5, 0.2? w Let q = -8.93 - -8.53. Which is the third biggest value? (a) 37 (b) q (c) 0.3 b Let d = -163 + 156.4. Let s = 6.2 + d. What is the second smallest value in 0.4, s, -1/10? -1/10 Let h = -31.52 + -0.48. What is the fourth smallest value in -0.3, h, 3, -0.1? 3 Let h = 2.9726 - -0.0274. Let t = 0 + 0.5. Which is the fourth biggest value? (a) 1 (b) t (c) h (d) -5 d Let n be (-3*564/1170)/(4/20). Which is the third biggest value? (a) -3 (b) n (c) 4 b Let v = 387 - 823. Which is the smallest value? (a) v (b) 2/9 (c) -1 a Let v = -0.173 - -6.173. Let w = 1 - 1.5. Let m = -0.1 + -0.1. Which is the second smallest value? (a) m (b) w (c) v a Let k = -16.82 - -15.92. What is the second biggest value in 5, k, -3/10? -3/10 Let l = 2.9 - 3. Let y = -5.8 + 5.8. Let b(v) = 2*v**3 + 7*v**2 + 2*v - 1. Let h be b(-3). What is the second biggest value in l, h, y? y Let n be 304/(-80) - ((-12)/4)/1. Which is the second biggest value? (a) 0.4 (b) -41 (c) n c Let i be 40/75 + (10/(-3) - -3). Which is the fourth smallest value? (a) -4/9 (b) 5/6 (c) 2/15 (d) i b Let g = -3 + 0. Suppose -3*y - 123*v + 118*v = -24, 4*v - 27 = -5*y. What is the third biggest value in y, g, -1/7, 1? -1/7 Let k = -22 - -22.2. Let r = -85 + 85.1. What is the biggest value in 4, -1/6, k, r? 4 Let x = 10.43 - 10.5. Suppose 2*f - 3 = -p, -p = 3*p + 4*f. Which is the second biggest value? (a) 0.2 (b) x (c) p b Let g = -0.31 - 11.69. Let o = 12.2 - 2.2. Let p = g + o. Which is the second smallest value? (a) 5/4 (b) p (c) -5 b Let x = -4/29 - -7/261. What is the smallest value in 2, -0.1, x? x Let g be -5 - -9 - (60/27 + 2). Which is the third biggest value? (a) 1 (b) -0.5 (c) g b Let h = -1.7 + -0.3. Suppose -p + 20 = g, 4*p - g = g + 56. Let y be (-10)/(-15)*9/p. Which is the biggest value? (a) y (b) -0.5 (c) h a Let x = -16.139 + -0.061. Let s = 3.2 + x. What is the third smallest value in 1, 4, s? 4 Let v = -12.5 - -12.8. What is the fourth biggest value in -0.11, -5, v, 0.1? -5 Let o be (-1)/(-9)*3/(-2). Let d = -2.2837 + 0.2837. Which is the third smallest value? (a) o (b) d (c) 0.3 c Let a = 38 - 42. Let i = -6 + 9. Let m = 0.27 + 3.73. What is the smallest value in m, a, i? a Let c = 0.14 + -0.08. Let b = c - 0.96. Let r = -1.3 - b. What is the second biggest value in r, 0.2, -3? r Let n = 1.45 - 2.65. Let y = n - 0.8. What is the second smallest value in y, 2/19, 5, 2/9? 2/19 Let x be 15/(-30) + (7 - 4) + -2. Which is the third biggest value? (a) 5 (b) 2/11 (c) -0.0536 (d) x b Suppose -4*o = -2*o + 5*h + 6, 0 = -4*o + h + 10. Suppose 2*m - 2 - o = 0. Let a = -0.13 + -0.87. What is the second smallest value in a, m, -3? a Suppose -21*s = -24*s + 30. Suppose -6*q - 2*m + s = -q, -3*m = -q - 15. Suppose -4*k + 4 - 8 = 0. Which is the second biggest value? (a) k (b) -5/4 (c) q a Suppose 5*c - 21 + 11 = 0. Let f be 2 + -3 - c - (-76)/28. What is the second biggest value in 0.4, f, -5, 0.3? 0.3 Let d = 1308 + -1307. Let c be (-1)/(-6)*2*-1. What is the fourth biggest value in c, d, 2/15, -4? -4 Let b = -36.5 + 42. Let s = 20.5 - b. What is the smallest value in -1, 0.5, s? -1 Let o(r) = 63*r. Let z be o(-1). Let j be 18/z + (-27)/(-70). What is the biggest value in -0.4, j, 5/2? 5/2 Suppose 2*z + 2*l = -2*l + 60, -3*l = -2*z + 25. Let d be z/
{ "pile_set_name": "DM Mathematics" }
is the first derivative of 3*b*r**3 - 16*b*r**2 - 30*b - 14*r**3 + 87 wrt r? 9*b*r**2 - 32*b*r - 42*r**2 Find the second derivative of 13*g**4 + 19*g**2 + 13*g - 48. 156*g**2 + 38 Find the second derivative of -f**2*n**2*v + 170*f**2*n**2 + 2*f**2*v + 6*f*n**2 + 21*f*n*v - 3*f*v + n**2*v wrt f. -2*n**2*v + 340*n**2 + 4*v Differentiate -2*h*i*k**2 - 205*h*i*k + 2*h*k**2 - 2*i*k**2 + 245*k**2 wrt i. -2*h*k**2 - 205*h*k - 2*k**2 What is the third derivative of 3*b**6 + 17*b**3 - 248*b**2 + 1? 360*b**3 + 102 What is the derivative of 15*h**2*p*t - h**2*p*v + 3*h*t**2*v - 25*p*t*v - p*v + 2*t**2*v + t**2 wrt h? 30*h*p*t - 2*h*p*v + 3*t**2*v Differentiate 136*v + 182 with respect to v. 136 Find the third derivative of 18*j**2*l**3*v**2 - 5*j**2*l**2*v**2 + 5*j**2*l**2*v - 2*j**2*v - 5*l**3*v**2 + 2*l**3*v - 2*l**2*v**2 wrt l. 108*j**2*v**2 - 30*v**2 + 12*v Find the third derivative of -m**5*z + 841*m**3*z**2 - 4*m**2*z**2 + 80*m**2*z + m*z**2 wrt m. -60*m**2*z + 5046*z**2 What is the third derivative of 8*k*l**4*z**2 - k*l**3 + 20*k*l**2*z**2 - 2*k*l**2*z - k*l + k*z**2 - 4*l**5 wrt l? 192*k*l*z**2 - 6*k - 240*l**2 Differentiate -20*s**3*w**2 - 25*s**3*w - 11*s**3 - s**2 + 67 wrt w. -40*s**3*w - 25*s**3 Find the first derivative of -2272*c - 5494 wrt c. -2272 What is the derivative of -1415*h*r**3*x + 4*h*r**3 - 21*r**3 wrt x? -1415*h*r**3 Find the second derivative of 1074*x**4 + 2*x**3 + 15*x + 14. 12888*x**2 + 12*x What is the second derivative of 96*n**4 + 2*n**2 + 42*n + 3 wrt n? 1152*n**2 + 4 Find the first derivative of -23100*x**4 - 13386 wrt x. -92400*x**3 What is the first derivative of 2284*y**3 + 247? 6852*y**2 What is the third derivative of 321*j**4 + 2093*j**2? 7704*j What is the first derivative of -5014*i - 7815 wrt i? -5014 What is the third derivative of -5*f**6 + 93*f**5 - 870*f**2 wrt f? -600*f**3 + 5580*f**2 What is the third derivative of -188*u**6 - 2*u**2 - 1? -22560*u**3 What is the second derivative of -99*q**4 + q + 332 wrt q? -1188*q**2 What is the third derivative of b**5 + 406*b**4 - 2*b**3 - 893*b**2? 60*b**2 + 9744*b - 12 What is the second derivative of -219*d**2*o**2 - d*o**2 - 4*d*o - 3 wrt d? -438*o**2 What is the third derivative of 69*x**4 - 2*x**3 - 489*x**2 wrt x? 1656*x - 12 What is the second derivative of -518*b**4 + 2*b**2 + 2*b + 2453 wrt b? -6216*b**2 + 4 What is the third derivative of -12*g**3*s - g**3 + 9*g**2 + 9*g*s - 2*s wrt g? -72*s - 6 What is the derivative of -2*n**3 - 32*n*y - 2*y wrt n? -6*n**2 - 32*y Find the first derivative of 4*z**2 - z - 63. 8*z - 1 Find the second derivative of 43*h*w**4 + 18*h*w - 94*h + 8*w**5 wrt w. 516*h*w**2 + 160*w**3 Find the third derivative of -4*a*q*w + 304*a*q*x**3 + 2*a*w*x**3 - 8*a*x**2 + q*x**3 - w*x**3 - 11*w*x wrt x. 1824*a*q + 12*a*w + 6*q - 6*w What is the third derivative of -107*w**5 + 14*w**3 + 6257*w**2 wrt w? -6420*w**2 + 84 Find the second derivative of 823*a**2 - 247*a wrt a. 1646 Find the first derivative of -168*o - 2. -168 Find the third derivative of 180*n**4 + n**3 - 255*n**2. 4320*n + 6 Differentiate -21*o**3*w - 20*o*w**2 - 1336*w**2 with respect to o. -63*o**2*w - 20*w**2 Find the third derivative of 18*n**6 - 27*n**5 - 2*n**4 + 20*n**2 - 184. 2160*n**3 - 1620*n**2 - 48*n What is the second derivative of -391*x**5 - 16*x + 40? -7820*x**3 Differentiate 17*k**2*o**3 - 2*k**2 - 10*k*o**4 - 7*k wrt o. 51*k**2*o**2 - 40*k*o**3 Find the third derivative of -9*h*m**4 + 149*h*m**2 + 15*m**5 wrt m. -216*h*m + 900*m**2 Find the third derivative of 3*q**5 - q**3*x - 80*q**3 - 2*q**2 + 12*x wrt q. 180*q**2 - 6*x - 480 What is the third derivative of 2*i**4*r + 10208*i**4*s + 2*i**3*r - 2*i**2 - 2*i*r*s + i + 369*r*s wrt i? 48*i*r + 244992*i*s + 12*r Find the second derivative of 5*s**4 - 509*s**3 + 200*s + 52 wrt s. 60*s**2 - 3054*s Find the first derivative of -r**3*s**2 + 53*r**3*s + 31*r**3 + 4*r**2 wrt s. -2*r**3*s + 53*r**3 What is the second derivative of -203*c**5*x - 14*c**2*x**2 - 14*c*x**2 + 8*c*x - 3*c + 2*x**2 wrt c? -4060*c**3*x - 28*x**2 Find the second derivative of 7*i**2*l*o**3 + 4*i**2*l*o**2 + 2*i**2*o + 87*i*l*o**2 + 2*i*l + i*o**3 - l*o**3 wrt i. 14*l*o**3 + 8*l*o**2 + 4*o Find the third derivative of 2*w**6 - 72*w**5 + 6*w**4 - 2*w**2 + 897*w + 3 wrt w. 240*w**3 - 4320*w**2 + 144*w Find the first derivative of -2*a**2*w - 159*a**2 - 5*a*w**2 - 2*a*w wrt w. -2*a**2 - 10*a*w - 2*a Differentiate -2836*c*d**3*w**2 + c*d**3 - 2*d**3 + 57*d**2*w**2 + 11*w**2 wrt c. -2836*d**3*w**2 + d**3 What is the derivative of -877*l + 767 wrt l? -877 Find the third derivative of -2*o**6 - 2*o**5 + 1858*o**3 + 5387*o**2 wrt o. -240*o**3 - 120*o**2 + 11148 What is the derivative of -333*j - 119 wrt j? -333 What is the first derivative of -42*m**4 + 3*m**3 - 1372? -168*m**3 + 9*m**2 Find the first derivative of -14*j**2*z + 11*j*z + 279*z - 1 wrt j. -28*j*z + 11*z Find the third derivative of -q**6 + 6*q**4*v**3 - 18*q**3*v - 10*q**2*v**3 + 4*q*v**3 wrt q. -120*q**3 + 144*q*v**3 - 108*v What is the second derivative of 194*d**3*h**3 + 2*d**3*h + 298*d*h - 2*d - 2*h**3 wrt d? 1164*d*h**3 + 12*d*h What is the third derivative of -232*c**4 + c**2 + 394*c? -5568*c What is the second derivative of -2196*a**2 + 2355*a? -4392 What is the third derivative of 2*a**6 + 39*a**5 + 3*a**4 - 13952*a**2 wrt a? 240*a**3 + 2340*a**2 + 72*a Find the third derivative of 1091*b**3*k**5 - 2*b**3*k**2 - 1758*k**2 wrt k. 65460*b**3*k**2 What is the first derivative of -d*g**3 - 7*d*g - 1400*d - 8*g**2 wrt g? -3*d*g**2 - 7*d - 16*g Differentiate -2*d**2*n**2 - 2*d*n**2*o - 2*d*o**2 + 26*n**2 + n*o**2 + 3*n*o with respect to d. -4*d*n**2 - 2*n**2*o - 2*o**2 What is the third derivative of 64*b**2*u*y**3 - b**2*y - b*u*y**3 + 22*b*u*y**2 + 5*b*y**2 - u*y**3 + 2*y**2 wrt y? 384*b**2*u - 6*b*u - 6*u What is the second derivative of 465*c**2*s + 9*c*s - 2*c wrt c? 930*s Differentiate 2*v*y**2 - 3*v*z - y**2*z - 154*y**2 - 2*y*z with respect to z. -3*v - y**2 - 2*y What is the first derivative of -548*u**4 - 335? -2192*u**3 Differentiate 4*h*i - 9*h*u**2 - 9*h + 4*i*u**2 wrt i. 4*h + 4*u**2 What is the second derivative of 2*b*c**2*w - 5*b*c*w**3 + b*c*w**2 + 2*b*c + 2*c**2*w**3 - 9*c**2*w + 23*c**2 + 38*c*w**3 wrt c? 4*b*w + 4*w**3 - 18*w + 46 Find the first derivative of 134*n**3 + 3*n*x**2 + 2*n*x - 522*x**2 wrt n. 402*n**2 + 3*x**2 + 2*x Find the second derivative of i**4 + 83*i**3*v**3 + 21*i*v**3 + 2*i*v**2 + 2 wrt i. 12*i**2 + 498*i*v**3 Find the first derivative of 2*g**4 - g**3*w**3 + 26*g*w**2 + 58*w**3 wrt g. 8*g**3 - 3*g**2*w**3 + 26*w**2 What is the third derivative of -506*q**5 + 4061*q**2 wrt q? -30360*q**2 What is the derivative of -754*p**3 + 1166? -2262*p**2 Find the third derivative of -6*g*j**3 + 268*g - 31*j**3 - j**2 wrt j. -36*g - 186 What is the first derivative of k**4 - 47*k*s**2 + k*s - 410*s**2 - 2 wrt k? 4*k**3 - 47*s**2 + s Find the second derivative of 8*l**4*m - 5*l**4 + 3*l**2 - 1820*l*m wrt l. 96*l**2*m - 60*l**2 + 6 Find the second derivative of 4*d*i**2*r**2 + 13*d*i**2*r - d*i**2 + d*r + 10*i*r**2 + i*r wrt i. 8*d*r**2 + 26*d*r - 2*d Find the third derivative of 100*y**5 + 2*y**2 + 319*y + 2 wrt y. 6000*y**2 What is the derivative of 116*o**4 - 2*o - 855 wrt o? 464*o**3 - 2 Find the second derivative of 44*z**5 - 2*z**2 + z + 88 wrt z. 880*z**3 - 4 Find the third derivative of -314*p*r**3 - 2*p*r**2 - 34*p wrt r. -1884*p What is the second derivative of 1242*t**2 - 657*t - 7 wrt t? 2484 What is the second derivative of 72*p**5 - 3*p**3 - 5*p**2 - 39*p + 175? 1440*p**3 - 18*p - 10 What is the second derivative of -473*f**2*x - 11*f*x - 5*f - 2*x wrt f? -946*x What is the first derivative of -a**2*g**2 - 2*a**2*g + 4*a*g**2 + 55*g**2 + 4 wrt a? -2*a*g**2 - 4*a*g + 4*g**2 What is the first derivative of 14*k*z**3 + 250*k + 6*z**2 wrt z? 42*k*z**2 + 12*z Differentiate 33*v*y + 154*v wrt y. 33*v What is the third derivative of 2*d**5*m + 2460*d**3*m + 2*d**2*m + 863*m wrt d? 120*d**2*m + 14760*m What is the derivative of -3159*r**3 + 798? -9477*r**2 Find the first derivative of -8*k**3 + 9*k**2 - 66. -24*k**2 + 18*k Find the first derivative of 2*s*x**2 + 295*s - 2*x**2 - 795 wrt s. 2*x**2 + 295 Find the third derivative of -7*x**2*z**3 - 1
{ "pile_set_name": "DM Mathematics" }
+ 33*u**2 + 750*u**5 - 23*u**2 + 12 - 5 wrt u? 45000*u**2 Let c(w) = w**5 - 4*w**3 - 308*w**2 + 5*w + 18. Let m(s) = s**5 + 2*s**3 - s**2 + s. Let h(d) = c(d) + 2*m(d). What is the second derivative of h(g) wrt g? 60*g**3 - 620 Suppose 0 = 8*g + 417 - 1241. Find the first derivative of -3*u + 6 + 57*u**4 - g*u**4 + 30*u**4 wrt u. -64*u**3 - 3 Suppose -5*r = -2*q - 15, 5*q - 15 = -8*r + 3*r. Find the third derivative of -2*l**2 - 16 - 9 - 1538*l**r + 1374*l**3 wrt l. -984 Find the third derivative of 3*h**3 - 10*h**2 + 3*h**3 - 140*h**4 - 4*h**3 + 17 + 35*h**4 - h**3 wrt h. -2520*h + 6 Let m = -383 + 1179. Let h = -52 + m. What is the first derivative of -744*n + 6*n**3 + 2*n**3 - 16 + h*n wrt n? 24*n**2 Find the third derivative of 761*h**2 + 51*h**2 + 43*h**3 - 503*h**4 + 507*h**4 - 43*h**3 - 12*h**5 wrt h. -720*h**2 + 96*h Let t(m) be the third derivative of -17*m**7/42 - 13*m**4/12 - 11771*m**3/6 + 12*m**2 - 87*m. Differentiate t(a) with respect to a. -340*a**3 - 26 Let k(o) = 813*o**3 + 12*o**2 - 6*o - 771. Let g(s) = -1625*s**3 - 26*s**2 + 13*s + 1542. Let h(y) = 6*g(y) + 13*k(y). Differentiate h(c) wrt c. 2457*c**2 Let p(g) be the first derivative of -112*g**5 - 1265*g - 1106. Differentiate p(h) with respect to h. -2240*h**3 Let c(k) = 8*k - 32. Let p be c(6). What is the third derivative of 23 + 17*x**3 + 11 + p*x**3 - 34 - 25*x**2 wrt x? 198 Let f(y) be the third derivative of -199*y**4/24 - 383*y**3/3 + 2*y**2 + 67. Find the first derivative of f(b) wrt b. -199 Let n(p) = p + 75. Let l(a) = 6. Let x(r) = -3. Let v(u) = 8*l(u) + 11*x(u). Let j = 43 - 21. Let m(y) = j*v(y) - 4*n(y). Differentiate m(b) wrt b. -4 Let h(y) be the third derivative of 19*y**8/3360 + y**6/120 - y**5/30 - 12*y**2 - 3. Let c(f) be the third derivative of h(f). Differentiate c(w) wrt w. 228*w Let u = -23 - -36. Suppose 5*c - 33 = -4*x - 0*x, c - u = -4*x. What is the third derivative of -25*p**2 - p**2 - 6*p**5 - 9*p**x wrt p? -360*p**2 Let t(j) = 15*j - 78. Let y(k) = -6*k + 31. Suppose 16*b + 21*b - 185 = 0. Let h(d) = b*t(d) + 12*y(d). Differentiate h(i) wrt i. 3 Let w(i) be the second derivative of i**2 + 0*i**4 - 21/20*i**5 + 0 + 19*i - 1/2*i**3. Find the second derivative of w(r) wrt r. -126*r Let l(c) be the second derivative of -1/3*c**3 - 1 - 58*c + 19/2*c**2 + 0*c**4 - 1/20*c**5. Differentiate l(p) with respect to p. -3*p**2 - 2 Let u(r) = -7*r - 150. Let p be u(-24). Let l be (-24)/10*(-4 + -1). Find the first derivative of 19 - 39 + p - l*k**4 wrt k. -48*k**3 Let a be (-4)/18 + (-28776)/(-216). Suppose 0 = -5*k - p + a, 5*k - 129 + 5 = 2*p. Find the second derivative of 44*l**2 - 92*l**2 - k*l + 43*l**2 wrt l. -10 Suppose -33*v = -691 - 2477. What is the derivative of 62*s + 79 + 62*s - v*s**3 - 124*s wrt s? -288*s**2 Let l(w) be the first derivative of 0*w**4 + w + 0*w**3 + 231/5*w**5 - 35/2*w**2 - 1/6*w**6 + 229. What is the second derivative of l(q) wrt q? -20*q**3 + 2772*q**2 Let x = -71/52 + 655/156. Let o(d) be the third derivative of 0 + 0*d + x*d**3 + 7/15*d**5 - 17*d**2 + 0*d**4. What is the derivative of o(t) wrt t? 56*t Let u(f) be the third derivative of 0*f**6 + 12*f**3 + 0 + 1/210*f**7 + 0*f**5 - 2*f**2 - 160*f + 19/24*f**4. Differentiate u(v) with respect to v. 4*v**3 + 19 Let t(r) be the first derivative of -65*r**3/3 - 7*r**2/2 - 10554*r - 738. What is the first derivative of t(m) wrt m? -130*m - 7 Let o be (-4 - 90/(-24))/(3/(-156)). Find the second derivative of o*g**2 - 47 + 7*g**4 - 8*g**4 + g - 14*g**2 wrt g. -12*g**2 - 2 Find the first derivative of -19788 + 7267 + 266*w + 9175 wrt w. 266 Let h(q) be the first derivative of -330*q**7/7 - 109*q**3/3 + 4*q + 338. What is the third derivative of h(d) wrt d? -39600*d**3 Let i = 6 - 1. Suppose -3*n = -i*m - 33, 2*m = -m - 9. What is the second derivative of -3*s**5 - 7*s**5 + 8*s - 10*s - n*s**5 wrt s? -320*s**3 Let v(h) be the first derivative of -557*h**4/2 - 995*h**3/3 + 658. What is the third derivative of v(g) wrt g? -6684 Let y(p) = 34*p + 47. Let m(f) = -11*f - 16. Let j = 41 - 33. Suppose 56 = -z + j*z. Let w(v) = z*m(v) + 3*y(v). Differentiate w(d) with respect to d. 14 Let p(n) be the third derivative of -3575*n**8/336 + 2*n**5/15 + 5*n**4/8 - n**2 + 472*n + 2. Find the third derivative of p(h) wrt h. -214500*h**2 Let w(i) be the second derivative of 43/2*i**3 + 49*i**2 - 2 + 16*i. Differentiate w(a) with respect to a. 129 Let y(a) be the first derivative of 5*a**4/12 + a**3/3 - 57*a**2/2 + 55*a + 50. Let b(h) be the first derivative of y(h). Differentiate b(g) wrt g. 10*g + 2 Suppose -8*q + 128 = -464. Suppose q = 5*i - 36. What is the third derivative of 2*h**2 - i*h**2 - 3*h**2 - 17*h**4 wrt h? -408*h Find the third derivative of 4*b**2 + 33*b + 149 + 33*b + 31*b + 47*b - 146*b - 695*b**4 + b**3 wrt b. -16680*b + 6 Let x(w) = 12*w - 44. Let k be x(5). Find the third derivative of 0*z**5 - 58*z**5 - 8*z**5 + k*z**2 - 2 + 15*z**2 wrt z. -3960*z**2 Let d(w) be the second derivative of 7*w**6/15 + 10*w**4/3 - 1721*w**3/6 - 18*w + 26. What is the second derivative of d(k) wrt k? 168*k**2 + 80 Let o(a) be the first derivative of -2083*a**6/6 - 1641*a**2/2 - 2349. What is the second derivative of o(q) wrt q? -41660*q**3 What is the second derivative of -109*r - 36 - 488*r**2 - 1003*r**2 + 28 - 793*r**2 wrt r? -4568 Let l(a) be the second derivative of -1583*a**6/30 - 516*a**2 + 3557*a. What is the first derivative of l(x) wrt x? -6332*x**3 What is the second derivative of -132*i**5 + 46*i**5 - 208*i**5 - 68*i + 1948*i - 194*i**5 wrt i? -9760*i**3 Let k = -78 - -122. Let j = k - 28. Find the second derivative of 23*p**3 - 14*p**3 - j*p**3 + 4*p wrt p. -42*p Let h(r) be the first derivative of 1/5*r**5 + 0*r - 2*r**4 + 0*r**2 - 58 - 38/3*r**3. Find the third derivative of h(m) wrt m. 24*m - 48 Let i be (-9)/((-12)/(-304)*-2). Differentiate 110*t**4 - 7*t**2 - 2*t**2 - i*t**4 + 14 with respect to t. -16*t**3 - 18*t Let q = 3812/3 + -1269. Let g(l) be the first derivative of 5 + q*l**3 + 10*l + 0*l**2. What is the derivative of g(c) wrt c? 10*c Let l(z) = -216*z**4 + 132*z**3 - 12*z**2 + 742. Let f(t) = t**4 + 11*t**3 - t**2 - 2. Let n(v) = 12*f(v) - l(v). What is the first derivative of n(b) wrt b? 912*b**3 Let a(c) be the first derivative of 678*c**5/5 - c**4/2 - 121*c**3/3 - 1771. Find the third derivative of a(o) wrt o. 16272*o - 12 Suppose -5*g = -w - 24, g = 2*w + 3 - 0. What is the second derivative of -n + 489*n**4 - 481*n**4 - 10*n - 2*n + n - 6*n**g - 1 wrt n? -120*n**3 + 96*n**2 Let b(f) be the second derivative of -f**5/10 + 1247*f**4/12 + 2029*f. What is the third derivative of b(r) wrt r? -12 Find the second derivative of 75*r + 14*r**3 + 0*r**3 - 96*r**5 - 16*r**3 + 393*r**5 + 374*r wrt r. 5940*r**3 - 12*r Suppose -16*z + 2*z = -28. Find the third derivative of 12*k**6 + 77*k**z + 5*k**6 + 25*k**2 wrt k. 2040*k**3 Let c(b) be the third derivative of 0*b + 0*b**4 - 13*b**2 + 11/210*b**7 - 1/20*b**5 + 0 + 7/6*b**3 + 0*b**6. What is the third derivative of c(w) wrt w? 264*w Let o(z) be the third derivative of 19*z**9/504 + z**6/10 + 137*z**5/60 + z**3/6 - 469*z**2. What is the third derivative of o(h) wrt h? 2280*h**3 + 72 Find the third derivative of -7*k**4 - 3 + 27594*k**5 - 6*k + 4*k**3 - 27592*k**5 - 5*k**3 - 11*k**2 + 47*k**4 wrt k. 120*k**2 + 960*k - 6 Let l = 343 + -341. What is the third derivative of -302 + 302 - 58*s**l + 109*s**6 wrt s? 13080*s**3 What is the second derivative of -39 + 485*g**2 - 54 - 38 - 3*g + 2593*g**2 - 6 wrt g? 6156 Let p = 6 + -2. Suppose 16 = 4*j + p*u, j + 9*u = 4*u. Find the second derivative of -3*s**j + s**5 - 2*s**5 - 12*s + 3*s**5 wrt s. -20*s**3 Let u = 58 - 31. Let l = u - 16. Find the second derivative of -3*w**4 + w + 4 - 4 - l*w wrt w. -36*w**2 Let m(s) be the first derivative of -113*s**5/5 - 23*s**2/2 + 3301*s - 1167. Find the first derivative of m(p) wrt p. -452*p**3 - 23 Let b = -131 + 194. Differentiate -210 + b*y + 42 + 62 + 46 with respect to y. 63 Let p(g) = -g + 60. Let j be p(22). Find the second derivative of -162*u**3 - j*u**2 + 0 + 69*u + 38*u**2 + 0 wrt u. -972*u Suppose -3*y + 805 = 157. Differentiate 43 + 192*t + y + 30*t - 55 wrt t. 222 Let f be 247/(-19)*(-14)/91. Let u(v) be the first derivative of
{ "pile_set_name": "DM Mathematics" }
i. Is 12 a factor of q? True Let a be 4 - 696/44 - (-8)/(-44). Let f(p) = -3*p - 9. Is 9 a factor of f(a)? True Let r(j) = -j. Let h(w) = -9*w + 45. Let b(p) = -h(p) + 15*r(p). Is b(-15) a multiple of 15? True Is (15/6)/(-5)*7992/(-4) a multiple of 37? True Let g(o) = 2*o**3 - 46*o**2 - 14*o - 176. Does 10 divide g(24)? True Suppose 4*f - 9 = f. Suppose -173 = -2*j + c + 150, 165 = j + f*c. Suppose -3*i - 11 = 2*m - 119, 3*m = 3*i + j. Is m a multiple of 18? True Let q(s) = 2*s**2 + 3*s + 1. Let v be q(-2). Let x = 204 - 197. Suppose v*w + 152 = x*w. Is w a multiple of 8? False Let q(y) = y**2 - y - 136. Let v be q(0). Let f be -51 + ((-22)/66)/(2/(-36)). Let m = f - v. Is m a multiple of 16? False Suppose -31*q = -35*q + 1488. Suppose 7*y = 4*y + q. Does 16 divide y? False Let u = 173 + -113. Suppose 0*f = 4*i - 4*f - 120, 3*f + u = 2*i. Does 11 divide i? False Suppose -5*w + 16 = -2*b, 0 = w + 3*b - b + 4. Suppose 11*o = w*o + 252. Does 7 divide o? True Let p(r) = -r - 4. Suppose -4*c = 42 + 6. Let d be p(c). Is (2 - -1)/(12/d) a multiple of 2? True Let g = -5363 + 11874. Is g a multiple of 51? False Let q(v) = v**3 + 7*v**2 + 8*v + 6. Let p be q(-6). Does 5 divide p/(-24) - (-118)/8? True Suppose 2*m - 2 = 2. Suppose -m*p - 2*y + 107 = -31, 3*y = -5*p + 347. Is p a multiple of 11? False Is 61 a factor of (285 - -43)*1/2? False Let s = -1576 - -4054. Is 130 a factor of s? False Let j be -20*(2 + (-27)/12) + -1. Let k(p) = -6*p**2 + 4*p**2 + 5*p + 3*p**2. Is k(j) a multiple of 18? True Suppose -4*n + 2*x + 5 + 5 = 0, x + 2 = n. Suppose 0 = n*j + j - 2*r - 318, 0 = -3*j + r + 240. Suppose 0 = -2*f + j - 25. Is 14 a factor of f? True Suppose -7*p = -2*p. Suppose -q + p*q = -6. Suppose -10*s + 68 = -q*s. Does 9 divide s? False Let f be 4/(-22) - (-194)/(-22). Let l be (264/f)/((-5)/(-15)). Let o = 144 + l. Is o a multiple of 14? True Let b be 32/2 - -2 - 2. Does 18 divide -1 + 1 - -6*b? False Let z(o) = 11*o - o - 8*o**2 - 3*o + 18*o**3. Is z(1) a multiple of 3? False Let m(b) = 2*b - 15. Let y be m(9). Suppose 0 = -y*l + 144 + 159. Is l a multiple of 37? False Let y be ((-2)/6)/((-5)/150). Suppose -n + 15 = g + n, g = 3*n - y. Is (-42)/g*(-25)/10 a multiple of 9? False Let s(y) = -3*y - 32. Let m be s(-12). Suppose -2*i + m*r = -150, 1 = r - 2. Does 9 divide i? True Suppose 196 + 354 = 5*h. Suppose 0 = v - 4*w - 142, -v - 5*w + w = -h. Suppose 4*g + v = 6*g. Does 17 divide g? False Let k = -15 - -29. Let b(j) = -j**2 + 14*j + 19. Let x be b(k). Let p = 28 - x. Is p a multiple of 9? True Let y(t) = t**2 + 6*t - 2. Let m be (-256)/26 + (-14)/91. Does 19 divide y(m)? True Let m(b) = -2*b**2 - 2. Let g be m(-6). Let x = 98 + g. Is 4 a factor of x? True Suppose 4*q + 0*q + 3*m - 41 = 0, 0 = -q + m + 19. Suppose -3*t + 95 = -5*u + 27, -u + 28 = 2*t. Let s = q + t. Is 20 a factor of s? False Let o(a) = a**2 - 2*a. Let y be o(1). Let n be y/((-1)/3) + 2. Is (-15)/(-6)*22/n a multiple of 3? False Suppose 2*o - 31 = -t - o, -3*t - 3*o + 75 = 0. Let g = -5 + t. Does 9 divide g? False Suppose 0 = -4*n + 6*n + 5*g - 1057, -2*g + 2074 = 4*n. Does 43 divide n? True Let i(x) = 5*x - 5*x + 4*x**3 + x**2. Let l be i(-1). Let p(h) = -12*h + 4. Does 20 divide p(l)? True Let g(u) = u**2 - 6*u - 3. Let r be g(7). Let c be -3*((-24)/(-9))/r. Let m(q) = q**3 + 3*q**2 - 1. Is 2 a factor of m(c)? False Let g(k) = -k**3 - 7*k**2 + 10. Let f be g(-7). Let u be 232/f*(-10)/(-4). Suppose -20 = -3*n + u. Is n a multiple of 8? False Suppose -3*r - f + 3*f = -2, -3*f - 18 = 3*r. Let s(g) = -18*g + 2. Is s(r) a multiple of 19? True Let h = -1408 - -1900. Is 6 a factor of h? True Suppose 0 = -13*z + 16*z - 4*j - 405, -2*z - 5*j + 270 = 0. Suppose 0 = -o + z - 91. Is 22 a factor of o? True Suppose -720 = -71*o + 61*o. Is o a multiple of 7? False Suppose -4*k + 5*u + 146 + 21 = 0, -3*k + 3*u + 126 = 0. Let o = k + -29. Does 5 divide o? False Suppose 2*p - 367 = 3*m, -p = -6*p + 4*m + 914. Is 7 a factor of p? True Let u be (-10)/(1*(-2)/73). Suppose -z = -2*l + 3*z + 146, -u = -5*l - 3*z. Is 21 a factor of l? False Let h(r) = 62*r - 83. Is 53 a factor of h(6)? False Suppose 4*r - 2*r = -18. Is r/(-3)*(1 + 44) a multiple of 15? True Let o = 1468 - -2756. Does 88 divide o? True Let t be (197 + 1)/(1 + 0). Suppose -4*i = -2*j + t, -7*j = -2*j - 4*i - 483. Does 19 divide j? True Suppose -a + 4 = 2. Let y be ((-5)/a)/((-20)/40). Suppose 394 = y*z + 114. Is 14 a factor of z? True Let k(c) = -c**3 - 11*c**2 + 15*c + 21. Let g be k(-12). Is (190/g - -2)/(2/(-12)) a multiple of 13? False Let r(v) = v**3 - v**2 - v + 1. Let x(j) = 4*j**3 + 14*j**2 + 14*j - 15. Let o(n) = 3*r(n) - x(n). Let q be (-8)/(-5)*5*-2. Is o(q) a multiple of 10? False Let s(x) = 0*x + 0*x + 0*x - x + 19. Is s(-10) a multiple of 4? False Let v = -774 + 2674. Does 95 divide v? True Let a(n) = -n**3 + 13*n**2 - 13*n + 1. Let u be a(12). Let j(y) = y**3 + 12*y**2 + 3*y - 12. Does 19 divide j(u)? True Let f(u) = -2*u + 9. Let p be f(8). Let n be (p - -771) + (-6)/2. Is 27 a factor of (-10)/80 + n/8? False Let w = 1561 - 1085. Is w a multiple of 7? True Let i = 1420 - 928. Is i a multiple of 12? True Suppose j = -h + 584, 3*j = -2*h + 6*j + 1158. Is 6 a factor of h? True Suppose -4*q + 4*w = -372, -5*w = q - 59 - 46. Let m(a) = 10*a**2 + 6*a - 12. Let s be m(2). Let i = q - s. Does 26 divide i? False Let d(i) = 36*i**2 - 7*i - 9. Let y be d(-6). Suppose -5*m - 354 = -y. Suppose -a + m = 4*a. Is a a multiple of 13? True Let o(k) = 3*k**2 - k + 2. Let g(t) = 2*t - 2. Let u be g(2). Suppose 3*a - 15 + 2 = -q, q - u*a + 12 = 0. Does 8 divide o(q)? True Let g(p) = -p**3 + 8*p**2 - 8*p + 9. Let w be g(7). Suppose -w*y + 70 = -y. Let m = -22 + y. Is 14 a factor of m? False Let x = 3 + -35. Let j = x - -35. Is 266/j + 4/3 a multiple of 22? False Suppose -9*d = -0*d - 441. Suppose -3*l + 4*o = 10 - d, l - 13 = 5*o. Is l a multiple of 4? False Let y(v) = -8*v**2 - 3*v - 2. Let c be y(-1). Let w = 16 + c. Does 3 divide w? True Suppose u - c + 2*c - 629 = 0, -c + 1877 = 3*u. Is u a multiple of 19? False Let m(i) = -135*i**3 + i**2 + 2*i + 1. Let t be m(-1). Let n = 24 + t. Suppose -n = -3*a - 3*o, -3*o - 2*o - 119 = -3*a. Is 12 a factor of a? True Suppose 0*f + 1088 = 2*f. Is f a multiple of 68? True Let u(t) = t**3 + 6*t**2 - t - 2. Let j be u(-6). Is 2 a factor of (28/(-10))/(j/(-40))? True Let o(m) = -489*m - 126. Does 12 divide o(-2)? True Let j be 166/(4 + 2 + -4). Suppose 0 = -4*h + 219 - j. Is h a multiple of 30? False Let c = -199 - -433. Does 13 divide c? True Does 18 divide (-236)/3*((-10)/20 + -1)? False Let g(i) = 2*i - 21 + 4*i + 1 + 5*i. Is 4 a factor of g(6)? False Let l be (-3)/(-2) - (-39)/(-26). Suppose 2*u + 47 = 3*c - 108, 2*c + 3*u - 125 = l. Does 11 divide c? True Let h(d) = d + 7. Let s = -3 + 10. Let c be h(s). Let w = -6 + c. Is 7 a factor of w? False Suppose 2*s + 25*y - 196 = 20*y, -4*s + 5*y + 392 = 0. Is s a multiple of 49? True Suppose -5*w + 4*z = 2, -w - 2*z + 14 = 3*w. Suppose 0 = 10*i - 14*i - 12. Is w/i + (-8)/(-3) even? True Let n = 16 - 17. Let b = 4 + n. Is 3 a factor of b? True Let y(o) = -15*o + 13. Let t be y(3). Let w = t + 62. Does 6 divide w? True Is 38 a factor of (38/(-76))/(-1*2/1976)? True Suppose -17*a = -15*a - 346. Is a a multiple of 3? False Suppose 0 = -10*q - 4*q + 12740. Is q a multiple of 26? True Let y(i) = -4*i + 1. Let c(q) = -7*q + 1. Let d(n) = -3*c(n) + 5*y(n). Let m = 28 - 19. Does 5 divide d(m)? False Let q be (4 + -2)/(0 + 1). Suppose 4*g + 3*f - 85 = 0, 0 = -g - q*f - 3*f + 17. Suppose 2 = -h, 2*k = 4*h - 5*h + g. Is k a multiple of 4? True Let b be (16/40)/(1/120). Let k be (-2)/(-6) + b/18. Is 27 a factor of 2 + 12/k + 48? True Suppose -2*y = 2 + 16. Let d(w) = -6*w + 23. Is 8 a factor of d(y)? False Let v = -2 + -7. Let m(x) = -x**2 - x - 12. Let n be m(v). Is 35 a factor of (-7116)/n + (-2)/(-7)? False Let n = 478 - 245. Does 86 divide n? False Let z(g) = 13*g**2 + 9*g + 6. Is z(-9) a multiple of 33? False Let r = -21 - 44. Let l = 107 + r. Does 9 divide l? False Suppose -u - 2*u = -45. Let o be (-1717)/187 - (-4)/22. Let n = o + u. Is 3 a factor of n? True Is (38 + 2)/(32/512) a multiple of 16? True Suppose -2*n = -5*b + 25 - 4, 3*b - 18 = 3*n. Suppose b*l + 4
{ "pile_set_name": "DM Mathematics" }
2. Let j(g) = 3*g**2 - 4 + 0*g**2 - 4*g**2. What is b*j(p) - 3*z(p)? 2*p**2 - 1 Let t(b) = -13*b**2 - 3*b. Let s(w) = 13*w**2 + 2*w. Give 3*s(m) + 2*t(m). 13*m**2 Let b(g) = 7*g - 3. Suppose -4*i - v = v - 12, 0 = 2*i + 5*v + 10. Let n(r) = -8*r + 4. Calculate i*n(y) + 6*b(y). 2*y + 2 Suppose 19 = -2*k + g - 1, -5*g = 10. Suppose -2*o + 5*o - 18 = 0. Let r(n) = 13*n - 13. Let l(a) = 3*a + 11*a - 7 - 7*a. Give k*l(x) + o*r(x). x - 1 Let b(r) = -3*r**3 + 5*r. Let p(q) = -4*q**3 + 6*q. Suppose -3*t = f + 5, 5*f + 0*f = 5*t + 35. Suppose -25 = z + f*z. Determine z*p(j) + 6*b(j). 2*j**3 Let k(z) = z - 3. Let v be k(4). Let d(t) = -t. Suppose -2*f = -4*h + 86, -4*f - 3 = -f. Let a(o) = 13 - 35 + h - 3*o. Calculate v*a(g) - 5*d(g). 2*g - 1 Let i(a) = -11*a + 8. Let s(u) = -5*u + 4. What is -6*i(j) + 13*s(j)? j + 4 Let i(z) = 3*z**3 + z**2 - z - 3. Let x(s) = 1. Determine -i(y) - 3*x(y). -3*y**3 - y**2 + y Let d(h) = -6*h**3 - 2. Let g(a) = -24*a**3 - 9. Give -18*d(b) + 4*g(b). 12*b**3 Let d(y) = 4*y + 2. Let k(u) = 17*u + 1. Let s be k(2). Suppose -3*z - 2*z = s. Let h(t) = 1 + 2*t + 7*t + 3. Calculate z*d(x) + 3*h(x). -x - 2 Let w(u) = 2*u**2 + 4*u**2 + 3 + 2. Let o(v) be the third derivative of v**5/60 + v**3/6 - 7*v**2. Determine -5*o(q) + w(q). q**2 Let l(t) = -21*t**3 - 2*t**2 - 2*t - 2. Let a(p) = -43*p**3 - 5*p**2 - 5*p - 5. Calculate 2*a(d) - 5*l(d). 19*d**3 Suppose 5*n - n = 20. Let t(i) be the first derivative of -i**4/2 + 5*i**3/3 - 3*i**2/2 - 7*i + 116. Let l(s) = -s**2 + s + 1. Calculate n*l(d) + t(d). -2*d**3 + 2*d - 2 Let l(j) = j + 1. Suppose 5*r = -5*u + 5, 0 = 2*r + 3*r + 4*u - 5. Let z(i) = -4*i - 7. Calculate r*z(w) + 6*l(w). 2*w - 1 Let r(x) = -5*x + 9*x - 1 - 5*x. Let v(u) = -u - 2. Suppose 4*n = -2*p + 6, -4*p - 2*n = -2 - 16. Calculate p*r(b) - 3*v(b). -2*b + 1 Let r(j) = -j**2 - 4*j + 7. Let s be r(-5). Let v(i) = -4*i**3 - i + 3. Let w = -1 - -2. Let t(g) = 3 + g**3 + w - 6*g**3 - 2*g. What is s*t(p) - 3*v(p)? 2*p**3 - p - 1 Let i = 0 - -2. Let c(m) = -2*m + m + 17 - 15 + 3*m**2 + 3*m. Let j(b) = 6*b**2 + 5*b + 4. Calculate i*j(w) - 5*c(w). -3*w**2 - 2 Let b(u) = -14*u**3 + 8*u - 8. Let x(v) be the third derivative of v**6/24 - v**4/8 + v**3/2 - 2*v**2. Give -3*b(j) - 8*x(j). 2*j**3 Let j(w) = -w**3 + 3*w**2 - 3*w - 1. Let z(a) be the third derivative of a**6/40 - a**5/12 + 5*a**4/24 + a**3/3 + 8*a**2. Give 5*j(g) + 3*z(g). 4*g**3 + 1 Let v(h) = -2*h**2 + h. Let x(l) = -l**2 - 2*l - 1. Let z be (2 - 1)/((-2)/2). Let j be x(z). Let p(q) = -q + 2 + j*q**2 - 1 + q**2. Calculate -p(s) - v(s). s**2 - 1 Suppose -5*u + 16 = 3*m, 2*m - 5*m = 4*u - 14. Let i(s) = u*s - 7*s - s**2 + 0*s + 4*s**2. Let k(d) = 2*d**2 - 3*d. Calculate 3*i(z) - 5*k(z). -z**2 Let z(y) = 5*y. Let n(a) = -2*a. Let q = -14 + 9. Let s be 37/q - (-4)/10. Let x(w) = w**3 + 7*w**2 - 4. Let r be x(s). Calculate r*z(f) - 9*n(f). -2*f Suppose 0 = -7*v + 4*v + 3. Let a(r) = r + 1. Let b(k) = -14*k - 14. Give v*b(w) + 12*a(w). -2*w - 2 Let u(i) = i**2 + i. Let n(b) = 3*b**3 + 7*b**2 + 7*b. Determine -5*n(g) + 35*u(g). -15*g**3 Let i(d) = 0*d + 5*d - 1 + 3*d + 8*d**2. Let x be 1*(0 + 0) - 6. Let k(l) = l**2 + l. Suppose -4*o = -2*m - 12, -3 - 1 = 4*o + 2*m. Determine o*i(g) + x*k(g). 2*g**2 + 2*g - 1 Let a(j) be the second derivative of j**5/4 - 2*j**4/3 - 11*j**3/6 - 17*j**2/2 - 24*j. Let z(t) = -2*t**3 + 3*t**2 + 4*t + 6. Give -4*a(u) - 11*z(u). 2*u**3 - u**2 + 2 Let w(y) = -3*y**2 + 1. Let z(r) = -15*r**2 + 6. Calculate -22*w(o) + 4*z(o). 6*o**2 + 2 Let g(j) = j**2 - 5*j. Let h(z) = z - 6. Let i be h(14). Let m(o) = -2*o**2 + 8*o. Calculate i*g(d) + 5*m(d). -2*d**2 Let a(w) = 6*w**3 + 3*w**2 + 18*w + 3. Let m(l) = 5*l**3 + 2*l**2 + 18*l + 2. Calculate 2*a(u) - 3*m(u). -3*u**3 - 18*u Let s(n) = -44*n**2 - 44*n - 44. Let l(q) = q + 1. What is -44*l(k) - s(k)? 44*k**2 Let a(g) = -2*g**3. Let s(o) = -6*o**3. Suppose 7 = 3*z - 5. Let w be 1/z + (-105)/20. Give w*a(r) + 2*s(r). -2*r**3 Let c be (-7)/2*(3 - 1). Let l be (5 + -7 - 7) + 5. Let a(z) = -z**2 + 7*z. Let i(q) = q**2 - 4*q. Determine c*i(t) + l*a(t). -3*t**2 Let y(h) be the second derivative of -h**5/20 + 5*h**4/12 - 7*h**3/6 - 5*h. Let p(c) = c + 9. Let a be p(-4). Let z(f) = 2*f**2 - 3*f. What is a*z(q) - 2*y(q)? 2*q**3 - q Let h(i) = i. Let g(q) = 2*q**2 - q - 7. Determine g(u) + h(u). 2*u**2 - 7 Suppose 5*w = -5*f - 40, -5*f = 4*w + 20 + 15. Let b(k) = -k - 3. Suppose -9 + 4 = -l. Let o(m) = -5 - 6*m + l*m - 2*m + m. Calculate w*o(y) + 8*b(y). 2*y + 1 Let n(k) = -17*k**2 + 2*k. Let v(w) = -w**3 - 6*w**2 - 6*w + 2. Let h be v(-4). Let g(p) = -8*p**2 + p. Determine h*n(i) + 13*g(i). -2*i**2 + i Suppose -2*m = 4*z + 28, 3*z = 8*z - 4*m + 22. Let s(f) = -f**2. Let k = 1 - 2. Let b(g) = 6*g**2 - 4*g**3 + 5*g**3 + g + 0*g. Calculate k*b(h) + z*s(h). -h**3 - h Let o(f) = f**3 - f**2 - f. Let b(i) = 15*i**3 - 30*i**2 - 30*i. Calculate b(w) - 30*o(w). -15*w**3 Let y(z) = 1. Let g(r) = -2*r. Let u(l) = -g(l) - 3*y(l). Let x(i) be the first derivative of 5*i**2/2 - 8*i + 3. Calculate -8*u(q) + 3*x(q). -q Let d(y) = -7*y**2 - 5*y + 1. Let z(x) = -1. Let u(r) = d(r) + 6*z(r). Let m(f) = -4*f**2 - 3*f - 3. Calculate 5*m(s) - 3*u(s). s**2 Let b(r) = -11*r**2 - 12*r + 11. Let i(d) = -5*d**2 - 6*d + 5. Calculate 4*b(g) - 9*i(g). g**2 + 6*g - 1 Let p(r) = -r + 5. Suppose 0 = -2*n - 346 + 4. Let x be 304/n - 4/18. Let i(w) = w - 4. What is x*p(a) - 3*i(a)? -a + 2 Let d(k) = 3*k - 5*k**2 - 3 + k + 7 + 0. Let f(x) = x**2 - x - 1. Let h be 9/12 + 1/4. Determine h*d(v) + 4*f(v). -v**2 Let l(f) = -7*f**2 + 9. Let d(j) = -3*j**2 + 4. Give 9*d(i) - 4*l(i). i**2 Let l(z) = 7*z**2 - 3. Let p(h) = -120*h**2 + 50. What is -100*l(g) - 6*p(g)? 20*g**2 Let t(h) be the third derivative of -h**4/12 + h**3/6 - h**2. Let f(j) = -j + 1. Give 5*f(p) - 2*t(p). -p + 3 Let v(a) = -6*a + 4. Let t(f) = 7*f - 5. Let c(d) = 5*t(d) + 6*v(d). Let n(u) = u + 4. Determine -3*c(p) - n(p). 2*p - 1 Let m(w) = w**3 - 3*w**2 - 6*w + 4. Let z = -3 + 3. Let c be z + (1*6 - 2). Let u be m(c). Let g(v) = 1. Let a(r) = r + 3. What is u*g(d) + a(d)? d - 1 Let j(c) = 3*c + 2. Let o(y) be the second derivative of 8*y**3/3 + 5*y**2 - 8*y. Calculate -11*j(z) + 2*o(z). -z - 2 Let k(t) = -2*t**2 - 3*t. Let l(f) = 3*f**2 + 2*f. What is 4*k(p) + 5*l(p)? 7*p**2 - 2*p Let w(c) = 23*c - 23. Let v be (-3)/2*(-32)/12. Suppose -170 = -v*d - d. Let g(k) be the second derivative of -2*k**3/3 + 2*k**2 + 2*k. What is d*g(o) + 6*w(o)? 2*o - 2 Let g(k) = -3*k + 10. Let c(j) = 17*j - 1. Let v(o) = 8*o - 1. Let r(y) = 6*c(y) - 13*v(y). Let f be (-3 + 2)/((-1)/(-7)). What is f*r(p) + 5*g(p)? -p + 1 Let s(f) = -4*f - 6. Let m = -2 - -7. Let x(o) = 5*o + 7. Let c(p) = p**3 + 3*p**2 - p + 3. Let k be c(-3). Give k*s(g) + m*x(g). g - 1 Let p(d) = -3*d**3 - 3*d - 1. Let q(z) = -3*z**3 - 2*z - 1. What is 2*p(v) - 3*q(v)? 3*v**3 + 1 Let n(g) = g**3 + 3*g**2 + 2. Let b be n(-3). Let z(m) = -3*m**2 + 2*m + 1 - 7*m + 6*m + b*m**2. Let q(u) = -u. Calculate -3*q(s) - z(s). s**2 + 2*s - 1 Let o(z) = 15*z**2 - 3*z. Let j(h) = 76*h**2 - 16*h. Determine -3*j(l) + 16*o(l). 12*l**2 Let o(a) = 13*a**2 - 7*a + 5. Let d(f) = -14*f**2 + 8*f - 6. Calculate -5*d(v) - 6*o(v). -8*v**2 + 2*v Let i(r) = 32*r**3 - 13*r**2 + r + 22. Let a(b) = 16*b**3 - 6*b**2 + 11. Let o(m) = 13*a(m) - 6*i(m). Let h(c) = 3*c**3 - c + 2. What is -11*h(s) + 2*o(s)? -s**3 - s Let y(q) = -q - 1. Let m(t) = 2*t**3 - 4*t - 7. Suppose 3*o = 15 - 0. Suppose 2*b + 5 = 3. Calculate b*m(r) + o*y(r). -2*r**3 - r + 2 Let p(j) = -4*j**2 - 3*j - 3. Suppose -6*u - 4*h = -2*u - 24, 5 = -5*h. Let q(t) = -13*t**2 - 10*t - 10. Calculate u*p(o) - 2*q(o). -2*o**2 - o - 1 Let y be 3 + 4 + -8 - 8. Let o(a) = -2*a**3 + 5. Let w(c) = c - 3. Let h be w(7). Let z(p) = -5*p**3 + 11. Determine h*z(f) + y*o(f). -2*f**3 - 1 Let p(r) = -r + 7. Let h(x) be the second derivative of x**2 + 12*x. Determine 7*h(a) - 2*p(a). 2*a Let k(f) = -f**3. Let i(n) = -1. What is -5*i(x) + k(x)? -x**3 + 5 Let f(h) = 2*h - 5. Let y(n) be the first derivative of n**2 - 6*n + 4. What is 6*f(w) - 5*y(w)? 2*w Let k(u) = 7*u**2. Let l(h) = -h**2 - 1. Determine -k(d) - 3*l(d). -4*d**2 + 3 Let h(n) = 3*n**3 + 2*n**2 + 3*n - 1. Let v(g) = -4*g**3 - 3*g**2 - 4*g + 2. What is 3*h(p) + 2*v(p)?
{ "pile_set_name": "DM Mathematics" }
*s Let u(j) = 2*j**2. Let y(o) be the first derivative of 2*o**3/3 + o + 1. Let g(z) be the first derivative of y(z). Give u(g(r)). 32*r**2 Let w(y) be the second derivative of 0*y**2 - 3*y + 0 + 1/6*y**4 + 0*y**3. Let b(i) = -i**2. Give w(b(o)). 2*o**4 Let j(p) = 3*p. Let w(t) be the first derivative of t**2/2 + 3. What is j(w(a))? 3*a Let v(y) be the third derivative of y**4/12 + y**2. Suppose a - 7 = 4*q - 18, 5*q = 5*a - 5. Let m(f) = q*f**2 - 5*f**2 + 2*f**2. Give m(v(p)). 4*p**2 Let a be (2*-2)/(-1) + -1. Let r = a + -1. Let d(b) = 2 + 2*b - r. Let z(u) = 3*u. Determine z(d(i)). 6*i Let k(n) = -85*n. Let p(v) = 2*v**2. Determine k(p(y)). -170*y**2 Let r(n) = 2*n. Let u(i) = -15*i + 65. Determine r(u(j)). -30*j + 130 Let h(u) = -4*u. Let r(i) = -3*i**2 + 249. Calculate h(r(c)). 12*c**2 - 996 Let s(b) = 2*b**2 + 13*b - 13. Let n(t) = -t**2 - 6*t + 6. Let p(m) = -13*n(m) - 6*s(m). Let o(g) = 0*g**2 + g**2 - 3*g**2. Determine p(o(v)). 4*v**4 Let m be (7 - 0) + 1/(-1). Suppose -2*n = 3*b + 2, -n - 6 = 4*b - 0*b. Let k(c) = -c**n - c**2 + m*c**2. Let g(w) = w. Calculate g(k(x)). 4*x**2 Suppose 0 = 5*x - 15 + 5, -x = 4*b - 10. Let v(h) = 1 + b*h**2 - 1. Let q(p) = 4*p**2 - 3*p**2 + 4*p**2. What is q(v(l))? 20*l**4 Let a(y) = 30*y**2. Let l(q) = -6*q**2. Give l(a(w)). -5400*w**4 Let c(z) = -2*z + 136. Let b(x) = 2*x. Give c(b(k)). -4*k + 136 Let g(t) = -t**2 - 1. Let c = 43 - 67. Let k(u) = -7*u**2 - 8. Let d(w) = c*g(w) + 3*k(w). Let y(b) = b. Give y(d(o)). 3*o**2 Let t(p) = -p**3 + 7*p**2 - 6*p + 2. Let k be t(6). Let h(x) = k*x - 6 + 6. Let f(q) = -2*q. What is h(f(j))? -4*j Let m(q) = -12*q. Let p(k) = 336 + k - 336. Calculate m(p(i)). -12*i Let g(r) = -r**2 + 7*r**2 - 6*r**2 - r**2. Let c(d) = 5 - 5 - 4*d. Calculate g(c(y)). -16*y**2 Let j(t) = 18*t**2. Let x(f) = 216*f. Give j(x(d)). 839808*d**2 Let a(n) = 2*n - 2. Let k(t) = -3*t + 1. Let w(s) = 4*a(s) + 5*k(s). Let q(b) = 20*b + 8. Let l(g) = 3*q(g) + 8*w(g). Let p(f) = -f. What is p(l(m))? -4*m Let x(m) = -m**2 - 2*m + 2. Let v(l) = -9*l**2 - 21*l + 21. Let f(p) = 2*v(p) - 21*x(p). Let g(a) = 3*a. Give g(f(n)). 9*n**2 Let m(s) = -2*s**2. Let r(g) be the first derivative of 2*g**3 + 8. Calculate r(m(t)). 24*t**4 Let m(q) = 89*q**2 - 3. Let t(r) = -2*r**2. Determine m(t(f)). 356*f**4 - 3 Let j(d) = -d**2. Let r(o) = 66*o - 3 + 3 - 67*o. What is j(r(l))? -l**2 Let z(o) = 55*o + 65. Suppose -2*m + 256 = 4*l, -5*m - 57 = -l + 18. Let a(x) = 5*x + 6. Let h(s) = l*a(s) - 6*z(s). Let f(n) = -n**2. What is h(f(c))? 5*c**2 Let r = -4 + 7. Let x(l) = -l - 3 + r. Let t(q) be the second derivative of q**4/4 - q + 3. Determine t(x(a)). 3*a**2 Let m(q) = q**2. Let v(h) = 653*h + 8. Determine v(m(z)). 653*z**2 + 8 Let x(i) = -21*i**2 + 10*i**2 + 7*i**2. Let v(o) = 13*o**2. Calculate x(v(u)). -676*u**4 Let r(o) be the first derivative of -o**3/3 + 1. Let m be ((-12)/10)/(20/(-150)). Let w(j) = m*j + 0*j - 6*j - j. Determine w(r(y)). -2*y**2 Let h(s) = -9*s**2. Let i(c) be the first derivative of c**3/6 + 6*c + 7. Let l(x) be the first derivative of i(x). Give h(l(p)). -9*p**2 Let z(q) = 2*q**2. Let r(h) = -2. Let j(a) = -3*a + 18. Let g(u) = 2*j(u) + 18*r(u). Determine g(z(b)). -12*b**2 Let a(i) = -4*i + i + 5*i. Let w(h) = 236*h + h**2 - 236*h. Give w(a(s)). 4*s**2 Let n(y) = y. Let m(t) be the first derivative of -t**2 - 7. Give n(m(q)). -2*q Let v(t) = -7*t. Let a(k) = -7*k + 4. Calculate a(v(f)). 49*f + 4 Let g(q) = 9*q. Let k(s) = -2*s**2 + 3*s - 3*s. Determine k(g(o)). -162*o**2 Suppose y + 3*y = 24. Let o(u) = -y*u**2 + 2*u**2 + 2*u**2. Let l(c) = 3*c**2. Determine o(l(m)). -18*m**4 Let k(a) = 8*a**2. Let p(h) be the third derivative of h**4/12 - 8*h**2. What is k(p(r))? 32*r**2 Let n(m) be the third derivative of m**5/30 + m**2. Let y(j) = j + 2. Let f(d) = d + 3. Let t(i) = -2*f(i) + 3*y(i). Calculate n(t(p)). 2*p**2 Let w(l) be the second derivative of -l**4/12 + l**2 + l. Let r(f) be the first derivative of w(f). Let a(j) = -2*j. What is a(r(x))? 4*x Let y(h) = -46*h**2. Let x(q) = 4*q**2 - 5*q**2 + 85*q - 85*q. Determine x(y(v)). -2116*v**4 Let a(y) = 106*y**2. Let n(g) = 7*g. Determine a(n(o)). 5194*o**2 Let y(n) = 2496*n. Let x(h) = -7*h**2. Calculate x(y(g)). -43610112*g**2 Let j(i) = 2*i - 5. Let o(q) = 1. Let s(u) = 4*j(u) + 20*o(u). Let m(h) = 5*h**2. Calculate s(m(g)). 40*g**2 Let u(b) = 11*b. Let q = 5 - -23. Let p(z) = -12*z + q*z - 17*z. Calculate u(p(c)). -11*c Let c(y) = -y**2 - 3*y - 3. Suppose 3 = 3*g - 6. Let j = -6 + 8. Let m(f) = 2*f + 2. Let a(z) = g*m(z) + j*c(z). Let x(s) = -2*s**2. Calculate x(a(d)). -8*d**4 Let z(k) = -16*k. Let d(v) = 3*v**2 + 3*v - 3. Let h(q) = -q + 1. Let t(l) = -d(l) - 3*h(l). What is z(t(c))? 48*c**2 Let t(p) = -p. Let r(j) be the third derivative of 0 + 2*j**2 - 1/8*j**4 + 0*j**3 + 0*j. Determine r(t(i)). 3*i Let r(s) = -3*s. Let n(t) = 148*t**2. What is r(n(c))? -444*c**2 Let s(r) = 2*r**2. Let t = 1 + 4. Suppose 0*q - t*q + 10 = 0. Let k(a) = -a**2 + 2*a**q - 2*a**2. Calculate s(k(x)). 2*x**4 Let v be ((-2)/(-4))/((-1)/(-10)). Suppose -b + v = 3. Let o(j) = -j**2 + b*j**2 - 2*j**2. Let l(r) = r. Determine o(l(s)). -s**2 Let t(b) be the first derivative of -b**6/360 - b**3/3 + 1. Let f(r) be the third derivative of t(r). Let q(h) = 15 - 15 - 3*h. What is f(q(k))? -9*k**2 Let h(m) be the third derivative of m**4/24 - 3*m**2. Let b(u) = 5*u + 6. Let y(v) = 10*v + 11. Let i(k) = -11*b(k) + 6*y(k). What is h(i(q))? 5*q Let u(s) = 5*s. Let r(d) = 56*d. What is r(u(l))? 280*l Let l(v) = v. Let k(h) = -372*h**2 + 1. Determine l(k(p)). -372*p**2 + 1 Let y(h) = 16*h**2. Let d(g) = g**2 + 3*g**2 - 2*g**2 + g**2. What is y(d(b))? 144*b**4 Let o(l) = 1097*l. Let c(m) = -4*m**2. What is c(o(u))? -4813636*u**2 Let o(r) = 6*r**2 + 5. Let k(v) = -v**2 - 1. Let g be (6/(-12))/((-2)/(-4)). Let t(d) = g*o(d) - 5*k(d). Let b(u) = 3 + 1 - 4 + 2*u. Calculate b(t(i)). -2*i**2 Let n(i) = 3*i + 126. Let w(p) = -2*p. Give w(n(b)). -6*b - 252 Let m(f) = -5*f. Suppose -74 = -3*v - 5*o, -v - o = -2*o - 14. Let a(u) = v + u**2 - 3*u**2 - 18. Determine m(a(h)). 10*h**2 Let l(r) = 13*r. Let z(b) = -2*b - 6. Give l(z(v)). -26*v - 78 Let j(o) = 236*o. Let f(s) = -39*s**2. Calculate j(f(k)). -9204*k**2 Let w(b) = 35*b. Let g(t) = 1 + 5 - 6 + 2*t. What is g(w(m))? 70*m Let o(m) = -10*m. Let a(r) = 24*r**2. Determine a(o(j)). 2400*j**2 Let p = -4 + 7. Let z(n) = -6*n**2 - 7*n + 7. Let l(f) = f**2 + f - 1. Let c(x) = p*z(x) + 21*l(x). Let t(o) = 3*o. What is t(c(q))? 9*q**2 Let b(s) = 5*s. Let y(d) = -17*d**2. Give b(y(g)). -85*g**2 Let t(q) = -2*q**2 + 104. Let n(f) = 64*f**2. Give n(t(s)). 256*s**4 - 26624*s**2 + 692224 Let y(q) be the second derivative of -q**5/30 + q**2/2 + q. Let d(x) be the first derivative of y(x). Let z(c) = -2*c. Calculate z(d(v)). 4*v**2 Let z(i) = -5 - 7 + 9 + 2. Let j(c) = c**2 - 3. Let f(a) = -j(a) + 3*z(a). Let t(l) = 2*l. Calculate t(f(g)). -2*g**2 Let s(a) = -4*a + 2*a - 3*a + 6*a. Let v(p) = 21*p**2 - 15*p. Let k(d) = 3*d**2 - 2*d. Let g(o) = -15*k(o) + 2*v(o). Calculate g(s(j)). -3*j**2 Let c(f) = -2*f - 7. Let s(z) = 400*z. Determine c(s(q)). -800*q - 7 Let s be (-4)/2 + 12/2. Suppose s*y + 3*r = 4 + 16, 4*y + r = 12. Let k(d) = y*d - 2*d - d**2. Let z(g) = -2*g**2. Calculate k(z(f)). -4*f**4 Let l(p) = -28*p**2 + 45*p - 1. Let s(v) = -2*v. Calculate s(l(m)). 56*m**2 - 90*m + 2 Let x(k) = 2*k. Let u(n) = -4 + 4 - 13*n**2. Calculate u(x(f)). -52*f**2 Let b(d) be the first derivative of -d**2 + 4. Let m(s) = 3*s + 1. Give m(b(r)). -6*r + 1 Let s(y) = -y - 2. Let f(n) = 6*n + 11. Suppose 1 = i + 3. Let w(v) = i*f(v) - 11*s(v). Let o(x) = x**2 - 6*x**2 + x**2 - x**2. What is w(o(c))? 5*c**2 Suppose 2*m - 2*v - 1 - 17 = 0, -3 = m + 2*v. Let g(o) = -2*o**2 + m*o**2 + 0*o**2 - 2*o**2. Let c(x) = -8*x**2. Calculate g(c(a)). 64*a**4 Let g(o) = -1314*o. Let l(r) = r**2. Give g(l(u)). -1314*u**2 Let q(m) = -21*m**2. Let j(n) = 14*n. Calculate j(q(w)). -294*w**2 Let j(m) = -m. Let v(z) = z - 2. Let f be v(6). Suppose -4 = 2*q - 2*w, q - f*q = -w - 4. Let s(p) = 0*p - q*p + p. Give s(j(h)). 2*h Suppose k = 4*k + 5*p - 16, -5*p = -3*k - 4. Let t = 5 + -3. Let r(q) = 2*q + q**t - k*q. Let g(w) = 3*w**2. What is g(r(l))? 3*l**4 Let q(i) = -3*i**2 + 9*i - 9.
{ "pile_set_name": "DM Mathematics" }
- 1. Let j(q) be the third derivative of r(q). Give v(j(t)). -4*t**2 Let f(m) be the second derivative of m**4/6 + 30*m**2 + 2*m + 1854. Let c(t) be the first derivative of 2*t**3/3 - 1. Determine f(c(s)). 8*s**4 + 60 Let x(m) = 126631*m**2. Let w(r) = 298*r. Calculate w(x(p)). 37736038*p**2 Let m(p) = 2*p. Let j(t) be the second derivative of 2279*t**3/6 - t + 1160. Give j(m(w)). 4558*w Let h(j) = j**2 - 9. Let z(d) = 6*d**2 - 48. Let a(c) = -16*h(c) + 3*z(c). Let u(r) = 2*r + 2025. What is u(a(v))? 4*v**2 + 2025 Suppose -10*n = -12*n + 42. Let j(k) = -23*k**2 - n*k**2 + 37*k**2. Let x(w) be the second derivative of w**4/4 + w. Give x(j(p)). 147*p**4 Let c(j) be the first derivative of -2*j**3/3 + 603. Let z(h) be the first derivative of -13*h**2 + 7. What is z(c(a))? 52*a**2 Let t(b) = b. Let u(r) = r**3 + 6*r**2 - 10*r - 17. Let q be u(-7). Suppose -q*i = -3*i - 63. Let l(y) = 30*y + i*y - 33*y. Calculate l(t(z)). 60*z Let b be (-3)/(7 - 1)*-4. Let n(g) = -b*g - 25*g - 4*g. Let t(u) = -21*u. Let k(a) = 4*a. Let x(j) = 11*k(j) + 2*t(j). Calculate x(n(o)). -62*o Let t be (1/((-6)/1))/(119/(-8925)). Let f(i) be the first derivative of 19 + 0*i + t*i**2. Let b(c) = c. Give b(f(u)). 25*u Let k(p) = -10*p - 10*p + 3677*p**2 + 20*p. Let n(f) = 2*f. Calculate k(n(t)). 14708*t**2 Let x(l) = 2*l**2 + 6*l. Let h(o) = -o**2 - o. Let q(n) = -6*h(n) - x(n). Let s = -75 - -77. Let i(t) = 4*t**2 + s*t**2 + 4*t**2 - 6*t**2. Determine q(i(y)). 64*y**4 Let u(m) = -2*m. Let q(h) = -11768671*h**2. Give u(q(s)). 23537342*s**2 Let t(c) be the third derivative of c**4/24 - 466*c**2. Let q(h) = -7*h - 22. Determine t(q(x)). -7*x - 22 Let f(o) = -4*o + 44. Let n(r) = 4200*r**2 - 13 - 4189*r**2 + 13. Give n(f(q)). 176*q**2 - 3872*q + 21296 Let p(h) = -21098*h. Let r(f) = -7*f - 10. Give p(r(k)). 147686*k + 210980 Let s(x) = 511*x - 170*x - 170*x - 172*x. Let c(y) = y + 183. Determine s(c(o)). -o - 183 Let c(f) = f. Let i(l) = l + 1. Let j(b) = 1758*b - 5. Let r(n) = 7*i(n) + j(n). Calculate r(c(g)). 1765*g + 2 Let x(k) = 2*k**2. Let i(z) = z**2 + 5. Let m = -83 - -81. Let s be (1/(-2))/(m + 18/8). Let a(j) = -2. Let n(d) = s*i(d) - 5*a(d). Determine n(x(y)). -8*y**4 Let l(b) = 27*b**2 - 26*b + 3. Let c(o) = -4*o + 29. What is c(l(n))? -108*n**2 + 104*n + 17 Let x(u) be the first derivative of 6*u**2 + 7*u + 1647. Let m(n) = -7*n - 3*n - 4 + 3*n. Let y(s) = 7*m(s) + 4*x(s). Let l(z) = -9*z**2. What is l(y(g))? -9*g**2 Let p(b) be the first derivative of -b**5/120 - 2*b**3/3 + 49*b - 26. Let a(x) be the third derivative of p(x). Let g(f) = -243*f. Give a(g(u)). 243*u Let u(j) = -3*j**2. Let b(s) = 60113*s - 1504. Let n(i) = -1603*i + 40. Let d(p) = -5*b(p) - 188*n(p). Determine d(u(f)). -2397*f**2 Let n(g) be the first derivative of -2921*g**2/2 + 2958. Let f(k) = -k. Calculate n(f(s)). 2921*s Let m(b) = 126*b + 74. Let r(y) = -127*y - 83. Let i(k) = 9*m(k) + 8*r(k). Let s(o) = -3*o**2. What is i(s(x))? -354*x**2 + 2 Let w(u) = 12*u**2 - 34*u + 5. Let y(g) = -14*g**2 + 33*g - 6. Let d(b) = 6*w(b) + 5*y(b). Let v(h) = 26*h**2. What is d(v(t))? 1352*t**4 - 1014*t**2 Let l(r) = 86*r - 4 + 4 - 87*r. Let a(i) be the third derivative of i**4/12 - 2*i**3 + 118*i**2. Give l(a(x)). -2*x + 12 Let c(i) = 12*i + 3504748. Let b(r) = 2*r. Give c(b(f)). 24*f + 3504748 Let t(u) = -u. Let x(k) = -24*k. Let i(g) = 16*t(g) - x(g). Let w(o) = -3*o + 3. Let r(j) = 2 + 8 + 6 - 6*j - 11. Let q(m) = 3*r(m) - 5*w(m). Calculate q(i(s)). -24*s Suppose 3*x = 5*n - 22, -n + 2*x + 3 = -0*n. Let j(u) = u + 2*u - n*u + 4*u. Let l(m) = 986*m. Let w(a) = 21*a. Let z(s) = -4*l(s) + 187*w(s). What is j(z(y))? -34*y Let l(s) be the first derivative of -13*s**2/2 - 501. Suppose -5*b + 19 - 4 = 0. Let v(p) = -164 - b*p + 164. Calculate l(v(d)). 39*d Let x(l) = 6966*l. Let h(b) = b + 2*b**2 - 53*b + 58*b - 6*b. Determine x(h(r)). 13932*r**2 Let y(d) be the third derivative of -d**4/6 + d**2. Let f(a) = 7*a**2 - 5*a**2 - 5283161 + 5283155. What is f(y(s))? 32*s**2 - 6 Let h(r) = 17*r. Let l = 348 + -323. Let u(v) = 23*v - l*v + 10*v. What is h(u(a))? 136*a Let i(g) be the first derivative of -2*g**3/3 - 231. Suppose f = -4*u + 11, 2*f - 23 = -4*u - 3*f. Let c(x) = -u*x - 3*x + 3*x + 8*x. Calculate i(c(d)). -72*d**2 Suppose -12 = -5*y + 4*y. Suppose 0 = 3*j + 2*q - 13, -2*j + y = 2*q + 2. Let z(f) = -3*f**2 + 4*f**2 - j*f**2. Let m(l) = -14*l. Calculate m(z(c)). 28*c**2 Let p(t) = -10*t**2. Suppose 9*b - 14*b = -10. Suppose -2*j - z = 0, -4*z = 5*j - 2*z - b. Let c(m) = -9*m**j + 15*m**2 - 3*m**2. What is p(c(y))? -90*y**4 Let g(x) = -2*x**2 - 13*x + 61698. Let i(j) = 60*j**2. Calculate g(i(t)). -7200*t**4 - 780*t**2 + 61698 Let d(u) = -u**2 - 2*u - 34. Let j(f) = -132*f + 38*f + 96*f. What is j(d(r))? -2*r**2 - 4*r - 68 Let r(k) be the third derivative of k**5/30 + 444*k**2. Let n(v) = 42*v + 42*v + 0*v. What is r(n(q))? 14112*q**2 Let m(g) = 7*g. Suppose -6 = -z - 4*a, 5*z + 4*a - 10 = 2*z. Suppose -2*l + 4*o = 2*l - 32, -2*l - z*o + 4 = 0. Let n(j) = l + 2*j**2 + 4 - 9. Give n(m(i)). 98*i**2 Let c = 21877 + -21877. Let x(f) be the third derivative of 0*f + 0 + c*f**3 + 10*f**2 - 1/12*f**4. Let j(q) = 13*q**2. What is j(x(h))? 52*h**2 Let k(o) = -17199*o**2 + 468*o. Let m(a) = 366*a**2 - 10*a. Let b(f) = -5*k(f) - 234*m(f). Let y(c) = -4*c**2. What is b(y(r))? 5616*r**4 Let q(h) = 85*h**2 - 90. Let o(d) = 3*d**2 - 3. Let k(c) = 30*o(c) - q(c). Let b(m) = 3*m**2 - 11*m**2 + 2*m**2. Give k(b(v)). 180*v**4 Let a(g) = -232*g**2 - 56*g - 224. Let h(o) = 4*o**2 + o + 4. Let c(n) = 2*a(n) + 112*h(n). Let t(s) = -s**2 + 2*s**2 - 2*s**2. Give c(t(p)). -16*p**4 Let j(i) be the first derivative of 2*i**3 - 11. Let t(k) = 103*k**2. Give t(j(q)). 3708*q**4 Let h(w) = -19*w + 1291673. Let f(a) = -4*a. Give h(f(d)). 76*d + 1291673 Let s(y) = -2*y. Let x(p) be the second derivative of -317*p**4/4 + 11*p + 58. Give s(x(z)). 1902*z**2 Let a(g) be the first derivative of g**2/2 + 54320. Let q(j) be the first derivative of 2 + 0*j**2 + 0*j + 1/3*j**3. Calculate a(q(x)). x**2 Let d(h) = 18*h. Let a(s) = 2*s**2 + 6. Let l(u) = 3328*u**2 + 9216. Let g(o) = -1536*a(o) + l(o). Give d(g(v)). 4608*v**2 Let o(w) = -5*w + 216. Let u(c) = 9*c - 396. Let x(j) = -11*o(j) - 6*u(j). Let k(l) = -66*l**2 - 1. Give k(x(i)). -66*i**2 - 1 Let y(p) = -6*p**2. Let j(w) = -18*w**2 + 403*w + 65. Let v(r) = -7*r**2 + 162*r + 25. Let l(n) = -5*j(n) + 13*v(n). What is l(y(o))? -36*o**4 - 546*o**2 Let p(v) = 5*v - 15. Let g(t) = 37360*t - 18678*t - 18679*t. Calculate p(g(s)). 15*s - 15 Let j(a) be the first derivative of -a**3/3 + 19. Let g(y) = -15*y + 15*y - 16*y**2 - 26*y**2. What is j(g(c))? -1764*c**4 Let h(y) be the first derivative of 1/4*y**4 + 0*y**2 + 0*y**3 + 10 + 10*y. Let q(z) be the first derivative of h(z). Let u(n) = 2*n**2. Determine u(q(w)). 18*w**4 Let w(o) = 46*o - 346810 + 346810 - 45*o. Let q(x) be the third derivative of 17*x**4/12 + x**2. What is w(q(k))? 34*k Let d(n) = -1558362714*n. Let j(s) = -2*s**2. What is d(j(l))? 3116725428*l**2 Let s(g) = -8*g**2 - 4*g. Let h(k) = 38*k + 4692. What is h(s(f))? -304*f**2 - 152*f + 4692 Let f(p) = -62*p**2 + 36*p**2 + 30*p**2. Let j(i) = 18 + 3*i + 17 - 31. Calculate j(f(h)). 12*h**2 + 4 Let j(q) = 3*q. Let k(w) = 7*w**2 + 2*w + 85. Let n(a) = 2*a**2 - 15. Let b(o) = -k(o) - 5*n(o). Determine b(j(d)). -153*d**2 - 6*d - 10 Let y(g) = -12*g**2 - 10*g - 430. Let w(u) = -17*u**2 - 14*u - 645. Let l(d) = 5*w(d) - 7*y(d). Let n(z) = z**2. Give n(l(i)). i**4 + 430*i**2 + 46225 Let l(m) be the third derivative of 0 + 0*m**4 - 3/2*m**3 + 1/20*m**5 + 0*m + 300*m**2. Let a(f) = 2*f. Calculate a(l(g)). 6*g**2 - 18 Let w(i) be the second derivative of i**4/12 + 140*i + 2. Let g = 45 - 3. Let r(h) = -44 + 44 + g*h. Give r(w(x)). 42*x**2 Let t(s) = 5*s**2. Let q(z) = -4. Let a(g) be the second derivative of g**3/2 + 7*g**2 - g + 16. Let n(h) = 4*a(h) + 14*q(h). Calculate n(t(b)). 60*b**2 Let s(w) = w**2 - 5734*w. Let m(o) = 955*o. What is m(s(n))? 955*n**2 - 5475970*n Let k(v) = -24 + 0 + 19*v + 7 + 6 + 24. Let c(g) = -17*g. Determine c(k(z)). -323*z - 221 Let l(i) = 15*i. Let f(x) = -9383*x**2 + 8*x + 1. Give l(f(r)). -140745*r**2 + 120*r + 15 Let a(n) be the first derivative of -n**4/24 + 173*n**2
{ "pile_set_name": "DM Mathematics" }
, 0 = -2*g + m + 10. Factor g*w**4 + 2*w**3 + w**3 + 0*w**3. 3*w**3*(w + 1) Let k be (-3)/(-5) + (-358)/30. Let a = 12 + k. Factor 0 - 2/3*w**2 + a*w. -2*w*(w - 1)/3 Let v be (0 + 1)/(1/2). Find w, given that -3*w**3 + 4*w + 8 - w**2 - 9*w**3 - 15*w**v = 0. -1, 2/3 Suppose -2*q = q. Suppose q*s = 4*s. Let s - 2/3*n**5 + 0*n**3 + 4/3*n**2 + 2/3*n - 4/3*n**4 = 0. What is n? -1, 0, 1 Let t(m) = -5*m**2 + 4*m + 3. Let h(z) = 13*z**2 - 3*z - 4. Let p(s) = 6*s**2 - 2*s - 2. Let x(i) = -2*h(i) + 5*p(i). Let j(u) = 2*t(u) + 3*x(u). Factor j(w). 2*w*(w - 2) Let i be 4/5 - (-86)/(-120). Let h(r) be the third derivative of -1/60*r**6 + 0*r**3 + 2*r**2 + 0*r + i*r**4 + 0 + 0*r**5. Factor h(y). -2*y*(y - 1)*(y + 1) Let k(m) = 9*m**2 + 20*m + 57. Let u(v) = 8*v**2 + 20*v + 56. Let g(j) = 6*k(j) - 7*u(j). Factor g(w). -2*(w + 5)**2 Let f(c) be the second derivative of c**7/11340 + c**6/1080 + c**5/270 - c**4/3 - c. Let m(u) be the third derivative of f(u). Factor m(k). 2*(k + 1)*(k + 2)/9 Let f(r) be the third derivative of 6*r**2 + 1/84*r**4 + 1/420*r**5 + 0*r + 0 + 1/42*r**3. Factor f(h). (h + 1)**2/7 Let f(s) be the second derivative of -s**6/5 + s**5/5 + 7*s**4/6 + 2*s**3/3 - 15*s. Factor f(r). -2*r*(r - 2)*(r + 1)*(3*r + 1) Let m(u) = 4*u**3 + 5*u**2 - 7*u + 7. Let k(y) = 2*y**3 + 3*y**2 - 3*y + 3. Let h(t) = 14*k(t) - 6*m(t). Determine f, given that h(f) = 0. -3, 0 Let u(v) = 65*v**3 - 5*v**2 - 35. Let z(m) = 11*m**3 - m**2 - 6. Let n(a) = -6*u(a) + 35*z(a). Factor n(g). -5*g**2*(g + 1) Let i = 24 + -23. Let y = 6 - i. Let 6/5*k + 6/5*k**4 - 2/5 - 2/5*k**y - 4/5*k**3 - 4/5*k**2 = 0. Calculate k. -1, 1 Let k(c) be the first derivative of -c**6/10 + 9*c**5/10 - 13*c**4/4 + 6*c**3 - 6*c**2 + 5*c - 6. Let q(n) be the first derivative of k(n). Factor q(r). -3*(r - 2)**2*(r - 1)**2 Find r, given that 3*r**5 - 84*r**4 - r**5 + 78*r**4 = 0. 0, 3 Find b such that -1/4*b**2 - 1/2 + 3/4*b = 0. 1, 2 Let d = -985 - -177301/180. Let q(t) be the third derivative of -d*t**5 + 0*t + 0*t**4 + 0 + 0*t**3 + 1/360*t**6 - t**2. Factor q(f). f**2*(f - 1)/3 Let u(k) be the first derivative of -k**4/10 - 8*k**3/15 - 44. Factor u(d). -2*d**2*(d + 4)/5 Solve -6*j + 14/5*j**2 + 18/5 - 2/5*j**3 = 0 for j. 1, 3 Suppose 13*z - 15 - 24 = 0. Let o(v) be the third derivative of 3/10*v**z + 1/300*v**5 + 3*v**2 + 0 - 1/20*v**4 + 0*v. What is t in o(t) = 0? 3 Factor 2*g**4 + 0 + 0*g**2 + 0*g - 4/3*g**3 - 2/3*g**5. -2*g**3*(g - 2)*(g - 1)/3 Let o(s) = 23*s**2 - 25*s + 35. Let w(z) = -8*z**2 + 8*z - 12. Let g(m) = -4*o(m) - 11*w(m). Factor g(l). -4*(l - 2)*(l - 1) Find k such that -3/2 + 3/4*k**2 - 9/4*k**3 + 9/4*k + 3/4*k**4 = 0. -1, 1, 2 Let o(j) be the second derivative of -j**4/4 - j**3 - 23*j. Factor o(a). -3*a*(a + 2) Let s(h) be the second derivative of 25*h**4/12 - 55*h**3/6 + 5*h**2 + 20*h. Factor s(d). 5*(d - 2)*(5*d - 1) Let y(n) = 4*n**3 - 12*n**2 - 15*n - 9. Let m(s) = s**3 - s**2. Let j(a) = -5*m(a) + y(a). Determine f so that j(f) = 0. -3, -1 Let l(z) be the third derivative of -z**5/60 + z**4/24 + 5*z**2. What is d in l(d) = 0? 0, 1 Let s(b) be the second derivative of 0*b**3 - 1/3*b**4 + 0 + 2*b + b**2 + 0*b**5 + 1/15*b**6. Suppose s(d) = 0. Calculate d. -1, 1 Let v be 6/(-3) - (1 + -5). Factor -v*f**2 - f + 4 - 2*f + f. -2*(f - 1)*(f + 2) Let z = -11 - -26. Suppose m = -4*m + z. Solve 3*w**4 - 2*w**4 + w**2 + w**3 - 3*w**m = 0 for w. 0, 1 Suppose -4*d + 12 = -0*d. Suppose -6 = -3*a - d*z, 3*a = -2*z + 6 - 0. Find m, given that -2/9*m**3 + 0 + 8/9*m**a - 8/9*m = 0. 0, 2 Let g = -16 + 10. Let o be -1 + g/3 + 6. Factor -1 - 4*l - l**2 + 3*l + o. -(l - 1)*(l + 2) Factor 18/5 - 39/5*z - 3/5*z**3 + 24/5*z**2. -3*(z - 6)*(z - 1)**2/5 Suppose -j = -3*j. What is h in -h**5 + 3*h**5 - h**5 + j*h**5 = 0? 0 Let g(f) = -f**3 - 11*f**2 + f + 14. Let j be g(-11). Suppose -3*o + j*n = 6, -3*n + 5 = -1. Suppose -2/3*w**2 + o + 4/3*w = 0. Calculate w. 0, 2 Find d, given that 4/5*d + 2/5*d**2 + 0 = 0. -2, 0 Let v(z) = z**3 - 7*z**2 - 8*z + 2. Let n be v(8). Let w = 2 - n. Determine h so that h**2 - h**4 + 7/2*h**3 - 7/2*h**5 + 0 + w*h = 0. -1, -2/7, 0, 1 Let m(p) be the first derivative of -4*p**5/15 - 2*p**4/3 - 4*p**3/9 - 5. Suppose m(k) = 0. Calculate k. -1, 0 Determine w so that -8/7*w**4 + 4/7*w - 1/7*w**3 + 8/7*w**2 - 3/7*w**5 + 0 = 0. -2, -1, -2/3, 0, 1 Let h(d) be the first derivative of -2*d**5/5 + 3*d**4 - 26*d**3/3 + 12*d**2 - 8*d - 55. Let h(i) = 0. Calculate i. 1, 2 Factor 1/3*t**2 + 1/3 - 2/3*t. (t - 1)**2/3 Let w(x) be the first derivative of -1/2*x**2 - 1/3*x**3 - 1 - x. Let j(k) = -5*k**2 - 4*k - 3. Let z(s) = 3*j(s) - 12*w(s). Factor z(n). -3*(n - 1)*(n + 1) Let m(d) be the third derivative of d**5/210 + d**4/84 - d**2. Factor m(u). 2*u*(u + 1)/7 Let o = -2806/5 - -562. Factor 6/5*y**4 - 2/5*y**2 + 8/5*y**3 + 0 - o*y. 2*y*(y + 1)**2*(3*y - 2)/5 Let x(r) be the first derivative of 3/10*r**2 - 14/15*r**3 + 2/5*r + 1/5*r**4 + 12/25*r**5 - 1 - 7/30*r**6. Find s, given that x(s) = 0. -1, -2/7, 1 Let h = 18 - 25. Let c = -5 - h. Factor -j**4 - 2*j - 4*j + 5*j - 3*j**3 - 3*j**c. -j*(j + 1)**3 Let n(d) be the first derivative of -d**4/38 + 2*d**3/19 + 9*d**2/19 + 10*d/19 - 4. Factor n(r). -2*(r - 5)*(r + 1)**2/19 Factor 1462 + 8*c**4 - 3*c**4 - 40*c**2 - 1382. 5*(c - 2)**2*(c + 2)**2 Suppose -20 = 5*q - 60. Let i be q/(-8) + (-1 - -4). Factor -i*k**3 + 7 - 3 - 5*k**2 + k**2 + 2*k. -2*(k - 1)*(k + 1)*(k + 2) Factor 0 + 0*u - 1/2*u**2. -u**2/2 Let u = 4/19 + -173/912. Let z(d) be the third derivative of 1/420*d**7 + u*d**4 - 1/120*d**5 - 1/240*d**6 + 2*d**2 + 0 + 0*d**3 + 0*d. Factor z(o). o*(o - 1)**2*(o + 1)/2 Let v(q) be the third derivative of -q**7/350 + q**6/100 + q**5/25 - q**4/20 - 3*q**3/10 + q**2 - 8. Let v(l) = 0. Calculate l. -1, 1, 3 Suppose 4*b - k = 9, 7 = 2*b - 0*b - 3*k. Factor -4*a**3 + a**2 - 3*a**5 + 7*a + a**2 - 8*a**2 + 8*a**4 - b. -(a - 1)**3*(a + 1)*(3*a - 2) Let j(g) be the second derivative of 7*g**6/2 - 29*g**5/4 - 80*g**4 - 90*g**3 - 40*g**2 - 22*g. Suppose j(m) = 0. Calculate m. -2, -1/3, -2/7, 4 Let t(f) be the second derivative of 1/10*f**6 + 1/3*f**3 - 1/3*f**4 - 1/10*f**5 + 0 + 1/2*f**2 + 2*f. Factor t(w). (w - 1)**2*(w + 1)*(3*w + 1) Let q(k) be the first derivative of 1/180*k**6 - 1/36*k**4 - k**2 - 1/9*k**3 + 1/90*k**5 + 0*k - 3. Let j(n) be the second derivative of q(n). Factor j(l). 2*(l - 1)*(l + 1)**2/3 Factor -2/5*a**3 + 16/5 + 12/5*a**2 - 24/5*a. -2*(a - 2)**3/5 Let r = -5703/10 - -571. Let u(t) be the first derivative of 9/8*t**4 - 3 + 0*t + r*t**5 + 1/3*t**3 + 0*t**2. Factor u(v). v**2*(v + 1)*(7*v + 2)/2 Let b(u) be the first derivative of u**6/27 - u**4/9 + u**2/9 + 4. Factor b(x). 2*x*(x - 1)**2*(x + 1)**2/9 Let j(k) be the first derivative of -1/12*k**3 - 4 + 0*k - 1/8*k**2. Determine f, given that j(f) = 0. -1, 0 Suppose 0*r + 18*r = 36. Factor 0 + 0*v - 3/4*v**r + 3/4*v**3. 3*v**2*(v - 1)/4 Let d(h) be the first derivative of 0*h + h**2 + 3/4*h**4 - 5 - 7/3*h**3. Factor d(w). w*(w - 2)*(3*w - 1) Let h(a) be the third derivative of 0*a - 1/42*a**8 - 3/20*a**6 - 11/105*a**7 + 0*a**3 - 1/30*a**5 + 0 - 6*a**2 + 1/12*a**4. Factor h(j). -2*j*(j + 1)**3*(4*j - 1) Let l(f) be the first derivative of -f**6/420 + f**5/70 - f**4/42 + 5*f**2/2 + 6. Let b(g) be the second derivative of l(g). What is p in b(p) = 0? 0, 1, 2 Let b(c) be the third derivative of -2*c**2 + 0*c**3 + 0*c + 0 - 1/30*c**5 - 1/6*c**4. Let b(w) = 0. Calculate w. -2, 0 Let w be (36/(-54))/((-2)/9). Find y such that 26/9*y**2 - 32/9*y + 8/9 - 2/3*y**w = 0. 1/3, 2 Suppose 0 + 0*t + 1/2*t**2 - 1/6*t**3 = 0. What is t? 0, 3 Let z be ((-2)/(-2))/((-1)/(-4)). Factor -2*i**5 - 3*i**z - 4*i**4 + 5*i**4. -2*i**4*(i + 1) Suppose -2*j - 3 = j, 4*j + 4 = 5*g. Let n(i) be the first derivative of -2/9*i**3 + 1/15*i**5 - 2 + g*i**4 + 0*i**2 + 1/3*i. What is r in n(r) = 0? -1, 1 Determine z, given that -1/2 + 1/2*z - 1/8*z**2 = 0. 2 Suppose -2*a - 4 + 0 = 0. Let l be (a/(-3))/(3 - 1). Find j such that -1/3*j**3 + 1/3*j - l*j**2 + 1/3 = 0. -1, 1 Let s(l) = 2*l**2 + 3*l - 2. Let y be s(-3). Let x(c) = c**2 - 7*c + 2. Let u be x(y). Factor 8*t**4 + 8*t**u - 2 - 2*t**5 + 2*t + 4*t**5 + 2 + 12*t**3. 2*t*(t + 1)**4 Suppose 5*s - 12 = 2*s. Find f such that 2*f**4 - 2*f - 2*f**5 - 2*f**4 + s*f**
{ "pile_set_name": "DM Mathematics" }
.2 - -3.8. Let d = 3.999928 - c. What is d rounded to 5 dps? -0.00007 Let q = 0.08 + 0.002. Let j = 32.263 + -32.1. Let p = q - j. What is p rounded to two dps? -0.08 Let u = -0.02 + 0.01. Let x = -0.01002 - u. Round x to 5 dps. -0.00002 Let i = -14.99 + -0.01. Let n = i + 15.012. Round n to two dps. 0.01 Suppose 3*o - 388 = -x + 11, 9 = -3*o. Suppose x = 2*c + c. Suppose -c = w + 3*w. What is w rounded to the nearest 10? -30 Let w = -0.72978 + 0.73. Round w to four decimal places. 0.0002 Suppose 11 = 5*m + 51. Let f(d) = 14*d**2 - 3*d**3 - 12*d + 6 + 7*d**3 - 6*d**2 + 2*d. Let l be f(m). What is l rounded to the nearest 100? -1500 Let f = -0.66 - -0.26. Let k = 0.65 + f. Round k to one dp. 0.3 Suppose -1679449 = -2*m + 2320551. Round m to the nearest 100000. 2000000 Let s be (12750/20)/((-1)/(-800)). Round s to the nearest one hundred thousand. 500000 Let z = -4961 + 4961.05102. Let r = z + 160.77898. Let y = 160 - r. What is y rounded to one dp? -0.8 Let y = -3.7 - 0.3. Let n = y + 4.0000072. Round n to 6 dps. 0.000007 Let t(m) = 149*m**3 - 3*m**2 - 3*m + 9. Let x be t(-4). Suppose 5*f - 22221 + 2906 = 0. Let o = f + x. What is o rounded to the nearest one thousand? -6000 Let z = 1.2 - -16.5. Let g = z + -17.700091. What is g rounded to five decimal places? -0.00009 Let u(m) = -6415*m**3 - 6*m**2 + 6*m - 9. Let d be u(-7). Round d to the nearest 100000. 2200000 Let i = 22.3 + -22.2999903. What is i rounded to six decimal places? 0.00001 Let h = 56 + -48.9. Let u = -5.65 + h. Round u to 1 decimal place. 1.5 Let y(i) = -i**3 - 7*i**2 - 7*i + 7. Let d be y(-6). Let q = 15 - d. What is q rounded to zero decimal places? 2 Let i(z) = -3235341*z**2 + z + 2. Let c be i(3). Let a = -9271273 - c. Let m = a - 13746791. Round m to the nearest 1000000. 6000000 Let j = -41 + 40.9943. Round j to three dps. -0.006 Let q be 2/(-9) - (-6)/27. Let v be 2/(-3) + (-2)/(-3). Suppose q*b + 4*b - 500000 = v. Round b to the nearest ten thousand. 130000 Let y = -12353 - -17724. Let o be (2912/12)/((-4)/(-12)) - -1. Let s = y + o. What is s rounded to the nearest 1000? 6000 Let q = -2 + -57. Let o = q - -59.00000029. Round o to 7 decimal places. 0.0000003 Let j = -0.575968 + 0.586. Let o = -0.01 + j. What is o rounded to five dps? 0.00003 Let j = -10913755301.99949 - -10914109545. Let a = 354238 - j. Let t = a + 5. What is t rounded to 4 dps? -0.0005 Let w(d) = -d**3 - 2*d**2 + 3*d. Let m be w(-3). Let x be m - -1 - (-5 - -4). Suppose 55 = -x*a - 3*t + 146, -2*a + 2*t + 116 = 0. Round a to the nearest 10. 50 Let b = 27.0000069 + -27. What is b rounded to six dps? 0.000007 Let h = 56 + -55.26. Let n = 0.608 - h. Round n to two decimal places. -0.13 Let l(k) = k**3 + 9*k**2 - 10*k + 1. Let c be l(-10). Let r be (-3 - (c - 2)) + -26498. Let m be (22 + -2 + 0)*r. Round m to the nearest one hundred thousand. -500000 Suppose -2*v + 12 = -3*f, -5*v + 17 = 2*f - 3*f. Let q be 0/((-2)/2 + v). Suppose 0*o - 3*o - 141 = q. Round o to the nearest ten. -50 Suppose 2*c = a + 671 - 75, 4*c + 3*a - 1212 = 0. What is c rounded to the nearest one hundred? 300 Suppose -2*t - c + 22 = 140, -2*t = -4*c + 128. What is t rounded to the nearest 100? -100 Let h = 0.0435251 - 3.0228591. Let f = h + -2.02066. Let a = f - -5. Round a to 6 decimal places. 0.000006 Let g = 9.297 + 57.433. Let i = -67 + g. Let k = i - -0.26945. Round k to 4 decimal places. -0.0006 Let k = 0.486 + -0.8. Let y = k - -0.3. What is y rounded to 2 dps? -0.01 Let j = 0.6 - 0.36. Let r = 0.24000068 - j. What is r rounded to 7 decimal places? 0.0000007 Let f = 14 - 9. Let z = f - 4.99999998. What is z rounded to seven dps? 0 Suppose 0*f + 12 = 3*f. Suppose f*x - 1560008 = 4*a, -2*x - 2*x = -a - 1560002. Round x to the nearest one hundred thousand. 400000 Let t(f) = f + 10. Let l be t(-7). Let v(d) = -2222*d**3 - 2*d - 3 + 3. Let b be v(l). What is b rounded to the nearest one hundred thousand? -100000 Let k = 8.406 - 8.3. Let n = k + -0.10600077. What is n rounded to seven decimal places? -0.0000008 Suppose 25200 = -3*k + 2*k. What is k rounded to the nearest 1000? -25000 Let r = -1151500 - 1048500. What is r rounded to the nearest one million? -2000000 Let i(t) = -t - 5 - 1 + 5. Let m(r) = 6*r + 7. Let u(a) = -21*i(a) - 3*m(a). Let c be u(-6). Round c to the nearest 10. -20 Suppose -40 = 2*p - 4*p. Suppose 5*f + 2*w + 3540 = 0, -3*w = w - p. Round f to the nearest 100. -700 Let g = 98.0000095 + -98. Round g to 6 decimal places. 0.00001 Let j be (-3)/(-1) - (-8 + 11). Suppose j = m + 398 - 4398. Round m to the nearest 10000. 0 Let x = 0.032 + -16.332. Let t = -1.3 - x. Let y = t - 14.99982. Round y to 4 dps. 0.0002 Let p(t) = -t**3 - t + 7899. Let y be p(0). Suppose -y = -2*l - 20299. Round l to the nearest 1000. -6000 Let d(t) = -2*t + 178638. Let b be d(0). Suppose -3*k - 1362 = b. Round k to the nearest one hundred thousand. -100000 Let o = 2 - 1.99925. What is o rounded to 4 dps? 0.0008 Let w = 28 + 43. Let c = 0.1529 - 62.4529. Let v = w + c. Round v to the nearest integer. 9 Let b = -11.01 + 0.01. Let s = b + 11.000014. What is s rounded to five decimal places? 0.00001 Let q(u) = -7374992*u + 32. Let v be q(-4). What is v rounded to the nearest 1000000? 30000000 Let g(u) = u - 1. Let v be g(0). Let i be -1 + 0 - v - -2377. Let c = i - 5377. What is c rounded to the nearest 10000? 0 Suppose 0 = -3*j + 3*a + 30, -5*j - 2*a + 10 = -5. Suppose 1015110 = -j*u + 6015110. What is u rounded to the nearest one million? 1000000 Let r = 89.5 + -72. Let d = 14 - r. Let h = -3.79 - d. Round h to one decimal place. -0.3 Let t = -34.26 - -34. Let y = 0.25999986 + t. What is y rounded to 7 dps? -0.0000001 Let i = -44 + 2044. Round i to the nearest 10000. 0 Suppose 0 = -5*t + t. Suppose -2*y + 5*y = t. Suppose 154 = u - 2*h, y = 4*u + 9*h - 5*h - 652. Round u to the nearest 100. 200 Let a = -1.7 + 1.738. Let b = a - -0.0628. Let o = -0.1 + b. What is o rounded to four decimal places? 0.0008 Let r(y) = -y**2 + 9*y + 1. Let l be r(8). Suppose k + 2057822 = -2*v, 4*v - 5*k - 5144565 = l*v. Let d = 538909 + v. What is d rounded to the nearest 100000? -500000 Suppose -571 = j - 4*b - 102, -4*j + 2*b - 1918 = 0. Let u = j + 1091. What is u rounded to the nearest one hundred? 600 Suppose -5*u = 0, -4*y = -y - 3*u + 9. Let o(d) = -41*d - 5. Let n be o(y). What is n rounded to the nearest ten? 120 Let q be (-2)/(-6) + (-18320)/6. Suppose -2*f + l - 2103 = 0, 4*l + 2121 = -2*f - l. Let c = f - q. Round c to the nearest one thousand. 2000 Let i be 1/(2/(-8)*-2). Suppose 2*y = -1 + 9. Suppose y*r = 2*r - i. What is r rounded to 1 decimal place? -1 Let d = 7.8 - 7.80126. Round d to four decimal places. -0.0013 Let b be 1/(-2)*6 + -777. What is b rounded to the nearest one hundred? -800 Let k = 28.00027 + -28. What is k rounded to four decimal places? 0.0003 Let l = -1 + 4. Suppose -182990 = -2*p + l*i, 2*p = p - i + 91505. Let a = p + -44501. Round a to the nearest 10000. 50000 Suppose 16 = 8*r - 256. What is r rounded to the nearest 10? 30 Suppose 0 = x - r - 7, 2*x - 3*r - 18 = -0*r. Suppose 1 = x*o - 299. Let s be 12/42 - o/7. Round s to the nearest 10. -10 Let n = -20 - -35. Let l = 2980.62 - 2995.6221. Let x = l + n. Round x to three dps. -0.002 Let u = -810280 + 810291.00022. Let g = -1.4 + 12.4. Let n = u - g. What is n rounded to 4 decimal places? 0.0002 Suppose 845442 = 2*z - 108558. Round z to the nearest 10000. 480000 Let l = -0.034 - -0.014. Let t = -0.0696 - -0.09. Let q = l + t. Round q to 3 dps. 0 Let w = -20136.51 + 20028. Let h = w + 109. What is h rounded to one decimal place? 0.5 Let d = 1094.1 - 1152. Let z = d - -55. Round z to the nearest integer. -3 Let a = 29 - 14. Let d = 15.000087 - a. Round d to five dps. 0.00009 Let v = -7622131.999972 + 7622146. Let f = 14 - v. Round f to five dps. -0.00003 Let y = 3.2 + -3. Let r = y + -0.199965. Round r to five decimal places. 0.00004 Suppose 4*b + 248 = -28. Round b to the nearest 10. -70 Let d = -3.66 - -0.06. Round d to the nearest ten. 0 Let z = -9.24 + -395.76. Let n = z - -404.999797. Round n to five decimal places. -0.0002 Let c = 42.38 - 43. Let i = 0.6200089 + c. What is i rounded to 6 decimal places? 0.000009 Let r(y) = -2927729*y - 5. Let k = -13 - -9. Let f be r(k).
{ "pile_set_name": "DM Mathematics" }
6, -64077, -113982, -178161? -7137*w**2 + 54*w - 6 What is the r'th term of -15898, -16289, -16680, -17071, -17462, -17853? -391*r - 15507 What is the y'th term of -53599, -53565, -53527, -53479, -53415? y**3 - 4*y**2 + 39*y - 53635 What is the m'th term of 45, -781, -3527, -9153, -18619, -32885? -160*m**3 + 294*m - 89 What is the g'th term of 2808542, 5617083, 8425626, 11234171, 14042718, 16851267, 19659818? g**2 + 2808538*g + 3 What is the o'th term of -49676923, -99353852, -149030781, -198707710? -49676929*o + 6 What is the g'th term of 356447, 711953, 1067459? 355506*g + 941 What is the d'th term of -1600, -12362, -41450, -98026, -191252? -1527*d**3 - d**2 - 70*d - 2 What is the l'th term of 7911634, 15823270, 23734906, 31646542, 39558178? 7911636*l - 2 What is the o'th term of 604359, 2416135, 5435761, 9663237, 15098563, 21741739? 603925*o**2 + o + 433 What is the g'th term of 387981, 387782, 387447, 386976, 386369? -68*g**2 + 5*g + 388044 What is the k'th term of -423418, -846827, -1270234, -1693639, -2117042? k**2 - 423412*k - 7 What is the k'th term of 48635, 48658, 48703, 48776, 48883? k**3 + 5*k**2 + k + 48628 What is the u'th term of -5001, -10078, -15373, -20994, -27049, -33646? -18*u**3 - u**2 - 4948*u - 34 What is the z'th term of -1056779, -2113566, -3170353, -4227140, -5283927, -6340714? -1056787*z + 8 What is the n'th term of 4523, 12683, 20843, 29003, 37163, 45323? 8160*n - 3637 What is the s'th term of 14394, 27866, 39504, 48390, 53606, 54234, 49356? -153*s**3 + s**2 + 14540*s + 6 What is the q'th term of -1311523, -1311513, -1311497, -1311475, -1311447, -1311413, -1311373? 3*q**2 + q - 1311527 What is the j'th term of -6131, -6159, -6199, -6257, -6339, -6451? -j**3 - 21*j - 6109 What is the l'th term of -1171835, -1171821, -1171807, -1171793, -1171779? 14*l - 1171849 What is the n'th term of 2771313, 2771314, 2771315, 2771316, 2771317, 2771318? n + 2771312 What is the s'th term of -4471, -4924, -5371, -5812, -6247, -6676, -7099? 3*s**2 - 462*s - 4012 What is the n'th term of 8019, 6573, 2645, -5007, -17625, -36451? -207*n**3 + n**2 + 8225 What is the g'th term of 5600099, 5600100, 5600101, 5600102, 5600103? g + 5600098 What is the b'th term of 33246, 66596, 100152, 134016, 168290? 17*b**3 + b**2 + 33228*b What is the u'th term of 476, 1026, 1506, 1886, 2136, 2226, 2126? -5*u**3 - 5*u**2 + 600*u - 114 What is the g'th term of 82685, 165497, 248315, 331139, 413969, 496805, 579647? 3*g**2 + 82803*g - 121 What is the c'th term of 46081, 46093, 46137, 46213, 46321, 46461? 16*c**2 - 36*c + 46101 What is the c'th term of 190594, 190498, 190324, 190072? -39*c**2 + 21*c + 190612 What is the k'th term of 184355684, 368711369, 553067054? 184355685*k - 1 What is the n'th term of -3066293, -6132589, -9198885, -12265181? -3066296*n + 3 What is the d'th term of -156836, -156626, -156416? 210*d - 157046 What is the c'th term of -75522, -75555, -75588? -33*c - 75489 What is the a'th term of 7351096, 7351098, 7351100, 7351102, 7351104? 2*a + 7351094 What is the d'th term of -4453785, -4453799, -4453829, -4453881, -4453961, -4454075, -4454229? -d**3 - 2*d**2 - d - 4453781 What is the n'th term of 8997194, 8997176, 8997158, 8997140, 8997122, 8997104? -18*n + 8997212 What is the q'th term of 2185, 3562, 5891, 9172, 13405, 18590? 476*q**2 - 51*q + 1760 What is the x'th term of 659424, 659421, 659422, 659427, 659436, 659449, 659466? 2*x**2 - 9*x + 659431 What is the b'th term of -829160, -829590, -830754, -833018, -836748, -842310, -850070, -860394? -61*b**3 - b**2 - 829098 What is the v'th term of -3119, -14740, -34109, -61226, -96091, -138704, -189065? -3874*v**2 + v + 754 What is the g'th term of -58192721, -116385455, -174578189, -232770923, -290963657? -58192734*g + 13 What is the y'th term of -15111, -120870, -407919, -966900, -1888455? -15107*y**3 - 3*y**2 - y What is the g'th term of 710, 2206, 5238, 10574, 18982, 31230, 48086? 128*g**3 + 600*g - 18 What is the v'th term of 30779, 32107, 34277, 37253, 40999, 45479? -6*v**3 + 457*v**2 - v + 30329 What is the t'th term of -2997366, -5995003, -8992628, -11990235, -14987818? t**3 - 2997644*t + 277 What is the x'th term of -338425, -338437, -338463, -338509, -338581, -338685, -338827? -x**3 - x**2 - 2*x - 338421 What is the z'th term of -190474368, -380948742, -571423116, -761897490, -952371864? -190474374*z + 6 What is the r'th term of -1263, 998, 4757, 10008, 16745, 24962, 34653, 45812? -r**3 + 755*r**2 + 3*r - 2020 What is the d'th term of -2883, -3102, -3323, -3546, -3771? -d**2 - 216*d - 2666 What is the n'th term of 18269, 18210, 18061, 17780, 17325, 16654, 15725, 14496? -7*n**3 - 3*n**2 - n + 18280 What is the s'th term of -2325203417, -2325203415, -2325203413, -2325203411? 2*s - 2325203419 What is the k'th term of 322988, 646119, 969528, 1293353, 1617732? 23*k**3 + k**2 + 322967*k - 3 What is the a'th term of -22397, -173940, -585271, -1386284, -2706873, -4676932, -7426355? -21649*a**3 - 748 What is the k'th term of 5936, 17497, 34670, 57455, 85852, 119861? 2806*k**2 + 3143*k - 13 What is the z'th term of -249409, -249474, -249539, -249604, -249669? -65*z - 249344 What is the r'th term of -3775101, -3775096, -3775089, -3775080, -3775069, -3775056? r**2 + 2*r - 3775104 What is the l'th term of -3451970, -3451969, -3451968, -3451967, -3451966? l - 3451971 What is the n'th term of 12057, 23044, 32963, 41814? -534*n**2 + 12589*n + 2 What is the f'th term of -2049544, -2049550, -2049556, -2049562, -2049568, -2049574? -6*f - 2049538 What is the n'th term of 928, 530, -134, -1058, -2236, -3662, -5330? n**3 - 139*n**2 + 12*n + 1054 What is the w'th term of -567440, -567442, -567444, -567446? -2*w - 567438 What is the h'th term of -65194, -130896, -196598? -65702*h + 508 What is the l'th term of -8731, -7284, -5837, -4390? 1447*l - 10178 What is the u'th term of 2684537, 2684531, 2684527, 2684525, 2684525, 2684527? u**2 - 9*u + 2684545 What is the x'th term of -1392, -14511, -51076, -122811, -241440, -418687? -1954*x**3 + x**2 + 556*x + 5 What is the h'th term of -4614, -9372, -17302, -28404, -42678, -60124? -1586*h**2 - 3028 What is the s'th term of 11843, 22831, 33819, 44807? 10988*s + 855 What is the z'th term of -923, -6331, -20893, -49187, -95791? -763*z**3 + z**2 - 70*z - 91 What is the x'th term of -390887595, -781775188, -1172662781? -390887593*x - 2 What is the j'th term of 76202415, 152404844, 228607273, 304809702, 381012131, 457214560? 76202429*j - 14 What is the l'th term of -30068, -60031, -89994? -29963*l - 105 What is the n'th term of -19372777, -19372744, -19372709, -19372672, -19372633, -19372592? n**2 + 30*n - 19372808 What is the u'th term of 6556, 13567, 25252, 41611, 62644, 88351? 2337*u**2 + 4219 What is the s'th term of -7103, -14278, -21465, -28670, -35899, -43158? -s**3 - 7168*s + 66 What is the l'th term of -7059514, -7059526, -7059552, -7059598, -7059670, -7059774? -l**3 - l**2 - 2*l - 7059510 What is the a'th term of 8759, 17481, 26181, 34859, 43515? -11*a**2 + 8755*a + 15 What is the g'th term of 84714, 169031, 252952, 336477, 419606, 502339? -198*g**2 + 84911*g + 1 What is the q'th term of 496869429, 496869437, 496869459, 496869501, 496869569, 496869669, 496869807? q**3 + q**2 - 2*q + 496869429 What is the g'th term of -37715, -37599, -37487, -37379, -37275? -2*g**2 + 122*g - 37835 What is the m'th term of 545673, 1091272, 1636869, 2182464, 2728057, 3273648, 3819237? -m**2 + 545602*m + 72 What is the j'th term of -5126233, -5126233, -5126231, -5126227, -5126221, -5126213? j**2 - 3*j - 5126231 What is the h'th term of 51318, 51373, 51424, 51471, 51514, 51553? -2*h**2 + 61*h + 51259 What is the a'th term of 1498150, 2996441, 4494732, 5993023, 7491314, 8989605? 1498291*a - 141 What is the y'th term of 1988, 7943, 17932, 32015, 50252? 10*y**3 + 1957*y**2 + 14*y + 7 What is the y'th term of -1150, -4592, -10334, -18370, -28694, -41300? y**3 - 1156*y**2 + 19*y - 14 What is the b'th term of -6435, -12924, -19413, -25902, -32391, -38880? -6489*b + 54 What is the c'th term of 201, 534, 1489, 3378, 6513, 11206, 17769? 52*c**3 - c**2 - 28*c + 178 What is the p'th term of -225886, -225632, -225378, -225124, -224870? 254*p - 226140 What is the m'th term of -183985, -183981
{ "pile_set_name": "DM Mathematics" }
-3014 + 3014. Solve a*b - x = -h*b for b. 3 Let q be (2 - 2)*69/(-207). Solve -6*f + 8*f - 10 = q for f. 5 Suppose 5*o - 4*l = 44 - 12, 4*l = -3*o. Suppose 4*q + 49 = 65. Solve -12 = -q*x + o for x. 4 Let u(n) = -2*n. Let a be u(-2). Suppose 5*h + 124 = 9*h + 5*l, -4*h + 3*l + 156 = 0. Suppose 5*s - 109 = -5*o + h, -5*s = 4*o - 120. Solve a*t + o = -t for t. -5 Suppose 4 = 4*h - 2*v, 10 = h + v - 6*v. Suppose g + 5*t - 8 - 4 = 0, 3*t - 6 = h. Solve 0 = -g*n + 1 + 9 for n. 5 Let o(r) = 4*r - 5*r + 2*r. Let a(s) = 2*s + 6. Let z(l) = 3*a(l) - 3*o(l). Let g be z(-5). Solve -d = -g*d for d. 0 Let i = -22085 + 22346. Solve 93 = -24*c + i for c. 7 Let f = -1075 - -1101. Solve -f*y = -34*y + 24 for y. 3 Suppose -20 = 2*m + 2*m, -2*m - 31 = -3*d. Suppose -4*c + d*c = 12. Let i be 2 - (-4 + 0)/c. Solve i*w + 3 = -0 for w. -1 Let l(h) = 4*h**3 - 5*h**2 + 4*h - 5. Let g be l(3). Suppose -g*v - 30 = -76*v. Suppose 0 = v*y + t, -t - 11 = -6. Solve y + 1 = -2*m for m. -1 Let y(d) = -d**2 - 9*d - 15. Let u be y(-6). Suppose -9*x - 240 = u*x. Let n = x + 22. Solve -n*f - 6 + 0 = 0 for f. -3 Suppose -n - 3 + 41 = 3*k, -n = 2*k - 27. Suppose -k = -0*a - a. Solve 0 = 7*c - a*c for c. 0 Suppose -2 = 2*v - 8. Suppose -v*l - i = 37, 35 - 8 = -2*l - 3*i. Let y be 1/4 + (-3)/l*-1. Solve y = -5*r - 2 - 3 for r. -1 Suppose 7*m = -2*m - 7*m + 1280. Solve 86*z - m*z = 12 for z. 2 Let k be -301 + (63/(-7) - -7). Let n = k + 312. Solve 12*p = n*p for p. 0 Let q(c) = -c**3 - 5*c**2 + 12*c - 8. Suppose -4*p - 5*i = -18 + 31, -4*i + 19 = -p. Let h be q(p). Suppose -18 = -8*k + 5*k. Solve 4*j - h - k = 0 for j. 3 Suppose -2*t - 4 + 6 = -2*z, 4*t - 22 = -2*z. Let r(a) = -7*a + 112. Let g be r(15). Suppose t*k - 47 = -g. Solve 0 = 4*j + k - 2 for j. -2 Let f = 359 + -217. Suppose f*x = 145*x. Solve x = -3*g - 6 - 6 for g. -4 Suppose 2 = 3*f - 4*j, 3*f + 5*j - 7 = 4*j. Let v be -2 + -2 + (-1120)/(-70). Solve -c + v = f*c for c. 4 Suppose -82869 = -429*c + 4647. Solve -41*f - 10*f = -c for f. 4 Let z(f) = -94*f + 7263. Let d be z(64). Solve -13*l + 1338 = d for l. 7 Suppose 9 = 5*u - 16, 5*a - 2*u - 90 = 0. Solve 70 = 18*p - a for p. 5 Let m be ((-25)/225)/((-9)/162). Solve 57 = m*h + 53 for h. 2 Let c be -3 + -3*((-4)/(-4) + -4). Suppose 0 = -5*t + 3*d + d + 16, t + 3*d + 12 = 0. Solve t = -y + 7 - c for y. 1 Let w(g) = g**2 + 12*g + 38. Suppose -2*o = -2*u - 14, 3*u - 5*o = 8 - 27. Let d be w(u). Solve 7*p + d = 9*p for p. 3 Let k be 76891/51 + 56/(-21). Solve -k = 3*h - 1526 for h. 7 Let y be (-2 + 4*(-4)/(-16))/(-1). Let w be (-1)/(y*2/(-22)). Solve w - 7 = 4*g for g. 1 Suppose 49*t - 54*t + 3*x + 183 = 0, 5*t = 2*x + 177. Solve 37*n = 48*n + t for n. -3 Let z(k) = -3*k + 2. Suppose -8*y = -2*y. Let m be z(y). Suppose -2*d + 10 = -5*h, -2*d - h = -5*d + m. Solve d = 2*o + 3*o + 15 for o. -3 Suppose 0 = -5*z - 3*g + 57, 2*g - 9 = z + 6*g. Solve z*n = 28*n - 39 for n. 3 Let k(a) = -a - 8. Let h be k(-7). Let d be (8 - h)*(-10)/(-30). Suppose s = -d*y - 1, 4*y = -s - 0*y - 3. Solve 4*n = s + 11 for n. 4 Let c(s) = -s**3 + 9*s**2 - 8*s + 10. Let x be c(6). Suppose 2*z + x = 80. Solve -z + 14 = 3*o for o. 3 Let w = 3416 - 3400. Solve 0 = -15*x + w - 46 for x. -2 Let g = 24970 + -24940. Solve -174 + 264 = g*r for r. 3 Suppose -5*m = 2*u - 22, -3*u + 3*m = -7*u + 16. Let c(g) = 4*g - 26. Let x be c(7). Solve -u = y - x*y for y. 1 Let b(z) = -4*z + 12. Let u be b(7). Let t be (3/((-42)/u))/(42/147). Suppose -m + 4*x = 7 - 25, t*x + 16 = 0. Solve -4*d = -m*d + 10 for d. -5 Let w(j) = -177*j - 29. Let z be w(-2). Suppose 0 = -317*p + z*p - 56. Solve -p*k = 3*k + 30 for k. -3 Suppose 0 = -2*n - 8, 0*h - 14 = 3*h + 5*n. Suppose 0 = -h*s - 5 + 9. Solve m = s*m for m. 0 Suppose 42 = -6*w - 42. Let s be 2 + 48/(-28) + 4/w. Suppose -c + 1 = -s. Solve 4 = i - c for i. 5 Suppose 0 = 5*s - 7*t + 2*t - 25, -3*s - 4*t - 20 = 0. Suppose -6*b + 12 + s = 0. Let w be 2/3 + 64/(-96). Solve w = b*m + m for m. 0 Let t(p) = p**3 - 10*p**2 + 2*p - 20. Let l be t(10). Let s(x) = -5*x + 2. Let z be s(l). Solve -o + z - 7 = 0 for o. -5 Let p(s) = -13*s + 31. Let d be p(14). Let b = d + 152. Solve -5*u + 11 = b for u. 2 Let m = 69 - 63. Let a(x) = -x**3 - 3*x**2 + 4*x. Let f be a(-4). Suppose -8*k + f*k + 16 = 0. Solve k + m = 4*s for s. 2 Suppose 282*j = 278*j + 2*h + 110, -4*h + 12 = 0. Solve -16*z + j = 13 for z. 1 Let j(i) be the second derivative of i**3/3 - 13*i**2/2 - 24*i. Let k be j(8). Suppose 5*m = -3*s + 6, k*s = -4*m + 2*m - 3. Solve 3 = m*d - 12 for d. 5 Suppose 27*l - 31*l = 20, -4*j = -2*l + 2078. Let y = -522 - j. Solve y = 3*m - 15*m - 60 for m. -5 Suppose -286 = -7*m + 5*q, -13*m + 8*m + 5*q = -200. Solve 27*b = m*b for b. 0 Let u = -280 + 292. Suppose 28 + 8 = u*d. Solve -12 = -k - d*k for k. 3 Suppose -2*h = 2*q - 40, 6*q = 3*h + 11*q - 70. Solve 0 = h*l + 1 + 14 for l. -1 Let l = 124 - 112. Solve 89 - 161 = -l*t for t. 6 Let i = 11262 + -11227. Solve 0 = -31*o + 66*o - i for o. 1 Let p = -178 + 183. Suppose -p*u = -25 + 15. Solve 5*g + u = -8 for g. -2 Suppose 0 = 153*k - 154*k - 923. Let u = k + 926. Solve -u*a = 3*a + 6 for a. -1 Let a(b) = b**3 - 33*b**2 + 85*b + 170. Let i be a(30). Solve -32*h = i*h - 416 for h. 8 Let o(s) = -14*s - 44. Let f be o(-10). Suppose 84*t = 81*t + f. Let m = t + -31. Solve 0 = -5*p + m + 19 for p. 4 Let m = -40 - 52. Let r = -35 - m. Suppose 15 = -52*i + r*i. Solve -i*h = h + 20 for h. -5 Let h(r) = r**2 + 23*r - 955. Let o be h(-46). Solve 0 = -105*q + o*q - 10 for q. -5 Suppose -5*w - 3*p = -325, p = -3*w + 8*w - 325. Suppose t = w - 63. Solve t*o - 20 = 7*o for o. -4 Let w(i) = i**3 - i**2. Suppose -5*m + 8 = -2*s, 0*s - 2 = -2*s. Suppose -31*q = -30*q - m. Let x be w(q). Solve -2*j + x*j = 4 for j. 2 Let d(w) = w**3 + 10*w**2 - 24*w + 3. Let j be (2/6)/(16/4512). Suppose -9*p - j = 14. Let o be d(p). Solve -5 = o*l - 2 for l. -1 Suppose 7*g - 4 = 10. Suppose 1 = g*z - p - 12, 3*z + p = 7. Solve z*t + t = 0 for t. 0 Suppose 174*s + 493 = 203*s. Let o be (-7)/(-5) + 2/(-5). Let g = 6 + o. Solve -2*k + s = g for k. 5 Let g(u) = 6*u**2 - 13*u + 10. Let v(t) = -5*t**2 + 14*t - 9. Let b(p) = -4*g(p) - 5*v(p). Let j be b(18). Suppose -j*n + 12 - 2 = 0. Solve n*z = -z - 6 for z. -2 Suppose 0 = 13*d - 136 - 59. Solve 6 = 21*n - d*n for n. 1 Let f(p) = 74*p - 94. Let x be f(4). Let j = x - 187. Solve -j = -4*i + i for i. 5 Let l = -5300 - -5320. Solve 117*w - 113*w = -l for w. -5 Let y(b) = b**3 - 15*b**2 + 29*b - 32. Suppose 38 = 2*i - 4*a, -3*a + 26 = 4*i - 17. Let c be y(i). Solve -10 + 38 = c*o for o. 4 Let s(j) = -8*j**3 + 16*j**2 - j - 3. Let v be s(-3). Solve 2*y - v + 348 = 0 for y. 6 Let m = 245 - 241. Let v(z) = z**3 - 5*z**2 + 3*z + 6. Let g be v(m). Solve 0*x = -g*x - 8 for x. -4 Suppose 33*z = 2*w + 29*z - 3496, -4*w = -4*z - 6976. Solve -1741*d - 5 = -w*d for d. -5 Let b be ((-8)/36 + 1580/63)/((-4)/(-140)). Solve -128*f - b = 17*f for f. -6 Let y(o) = 5*o - 16. Suppose -2*w = -9 + 19. Let u be y(w). Let j = 43 + u. Solve -3 = p - j for p. -1 Let u be (-1645)/(-20) + (-8)/192*6. Solve u = t + 84 for t. -2 Let i(d) be the first derivative of -6*d**2 + 110*d + 86. Let r be i(9). Solve 5 = r*m + 9 for m. -2 Let z(g) = -g**2 + 5*g - 4. Let u be z(3). Suppose u*k + 4 = 4. Suppose 2*l + p + 2 + 0 = k, l = -5*p - 10. Solve -5*t + 20 = -l*t for t. 4 Suppose 0*f + 3*z - 240 = -2*f, 0 = 3*z + 12. Solve -f*y - 105 = -147*y for y. 5 Suppose 6*i = -189 + 2745. Solve 55*x = 96 - i for x. -6 Let n = 6 - -10. Suppose 3*c + 0*c + 2*r = -28, -4*c + 5*r = 22. Let s(l) = -l - 6. Let o be s(c). Solve 6*v - o*v = -n for v. -4 Suppose p + 7*o - 4*o = 6, -o = 4*p - 57. Suppose -10*v + p + 15 = 0. Solve -k = -v*k + 6 for k. 3 Let t = -40174 - -40537. Solve -402*q = -t*q - 195 for q. 5 Suppose -17*x = 24*x + 14350. Let o = -340 - x. Solve -16 = -3*b - o for b. 2 Let s be 3/(-12) + 1/((-4)/(-5)). Let y be (s + -2 + -29)/(42/(-28)). Let a be 4/y - 70/(-25). Solve -a*z - 2*z + 10 = 0 for z. 2 Let h(m) = 2*m**3 + 5*m**2 + 9*m + 7. Let f be h(0). Solve -f*c = 25*c + 160 for c. -5 Let w = -4100 + 4107. Solve w*p + 1 = -20 for p. -3 Suppose 4*u - w - 19 = 0, 8 = -3*w - 1. Suppose -u*a - 26 = -10, -k - 5*a + 20 = 0. Solve 0 = -5*c + 15*c + k for c. -4 Let g = -456 + 456. Suppo
{ "pile_set_name": "DM Mathematics" }
nd 10:15 AM? 672 What is 135 minutes after 1:08 AM? 3:23 AM What is 209 minutes after 5:27 PM? 8:56 PM How many minutes are there between 2:47 AM and 6:59 AM? 252 How many minutes are there between 8:58 PM and 3:11 AM? 373 How many minutes are there between 11:33 AM and 10:48 PM? 675 How many minutes are there between 7:20 AM and 7:15 PM? 715 How many minutes are there between 3:55 AM and 5:02 AM? 67 How many minutes are there between 1:24 AM and 1:19 PM? 715 How many minutes are there between 6:08 AM and 6:58 AM? 50 What is 689 minutes after 3:36 PM? 3:05 AM How many minutes are there between 7:50 PM and 2:59 AM? 429 How many minutes are there between 3:31 AM and 5:28 AM? 117 What is 581 minutes before 9:59 AM? 12:18 AM What is 44 minutes after 6:08 AM? 6:52 AM What is 194 minutes after 12:50 PM? 4:04 PM How many minutes are there between 8:41 AM and 5:36 PM? 535 What is 121 minutes after 12:31 PM? 2:32 PM What is 186 minutes after 2:24 PM? 5:30 PM What is 154 minutes after 2:34 PM? 5:08 PM What is 398 minutes before 4:35 PM? 9:57 AM How many minutes are there between 4:50 AM and 12:29 PM? 459 How many minutes are there between 10:30 AM and 7:39 PM? 549 How many minutes are there between 12:52 PM and 1:25 PM? 33 How many minutes are there between 2:03 AM and 10:15 AM? 492 How many minutes are there between 12:40 AM and 3:35 AM? 175 What is 69 minutes after 1:32 AM? 2:41 AM How many minutes are there between 9:34 AM and 4:32 PM? 418 How many minutes are there between 5:01 PM and 10:55 PM? 354 How many minutes are there between 2:01 AM and 10:59 AM? 538 What is 599 minutes after 8:13 AM? 6:12 PM How many minutes are there between 1:52 AM and 11:59 AM? 607 How many minutes are there between 7:10 PM and 1:54 AM? 404 What is 264 minutes after 9:37 PM? 2:01 AM How many minutes are there between 5:58 AM and 1:58 PM? 480 How many minutes are there between 6:53 PM and 5:05 AM? 612 What is 491 minutes before 12:26 AM? 4:15 PM What is 685 minutes before 4:33 PM? 5:08 AM What is 9 minutes before 6:03 AM? 5:54 AM What is 616 minutes after 9:28 PM? 7:44 AM How many minutes are there between 10:20 AM and 1:31 PM? 191 How many minutes are there between 4:55 AM and 11:20 AM? 385 What is 6 minutes before 4:01 PM? 3:55 PM How many minutes are there between 11:20 PM and 1:20 AM? 120 What is 52 minutes after 9:39 AM? 10:31 AM What is 130 minutes before 12:29 AM? 10:19 PM What is 291 minutes before 5:29 AM? 12:38 AM What is 366 minutes before 4:59 AM? 10:53 PM How many minutes are there between 5:32 PM and 7:03 PM? 91 How many minutes are there between 1:41 AM and 6:39 AM? 298 What is 697 minutes before 10:23 AM? 10:46 PM How many minutes are there between 6:25 AM and 5:26 PM? 661 How many minutes are there between 1:49 PM and 1:44 AM? 715 How many minutes are there between 2:18 AM and 12:34 PM? 616 What is 689 minutes before 8:44 PM? 9:15 AM How many minutes are there between 3:50 AM and 11:58 AM? 488 How many minutes are there between 11:55 PM and 12:34 AM? 39 What is 611 minutes after 11:42 PM? 9:53 AM What is 578 minutes before 11:43 PM? 2:05 PM What is 625 minutes after 10:44 AM? 9:09 PM How many minutes are there between 1:19 PM and 8:22 PM? 423 What is 39 minutes after 12:07 PM? 12:46 PM What is 662 minutes after 4:59 AM? 4:01 PM What is 128 minutes after 6:29 AM? 8:37 AM What is 584 minutes before 9:55 PM? 12:11 PM How many minutes are there between 7:32 PM and 10:05 PM? 153 What is 472 minutes before 3:10 AM? 7:18 PM What is 491 minutes after 8:49 PM? 5:00 AM What is 448 minutes before 7:30 PM? 12:02 PM How many minutes are there between 6:38 PM and 2:30 AM? 472 How many minutes are there between 12:49 PM and 10:41 PM? 592 How many minutes are there between 4:55 AM and 9:07 AM? 252 How many minutes are there between 8:22 PM and 8:36 PM? 14 How many minutes are there between 12:44 AM and 7:47 AM? 423 What is 508 minutes before 6:13 AM? 9:45 PM What is 63 minutes before 1:30 AM? 12:27 AM What is 152 minutes before 11:25 AM? 8:53 AM How many minutes are there between 1:04 PM and 10:03 PM? 539 What is 558 minutes after 2:55 AM? 12:13 PM How many minutes are there between 5:15 AM and 12:52 PM? 457 How many minutes are there between 1:04 AM and 2:00 AM? 56 How many minutes are there between 3:54 PM and 1:06 AM? 552 How many minutes are there between 6:31 AM and 12:13 PM? 342 What is 144 minutes before 6:36 AM? 4:12 AM What is 652 minutes after 12:08 AM? 11:00 AM How many minutes are there between 9:03 AM and 10:41 AM? 98 How many minutes are there between 3:23 AM and 11:09 AM? 466 How many minutes are there between 9:29 AM and 10:32 AM? 63 How many minutes are there between 1:54 AM and 2:57 AM? 63 What is 156 minutes after 3:40 AM? 6:16 AM What is 657 minutes before 3:38 PM? 4:41 AM How many minutes are there between 1:57 PM and 3:26 PM? 89 How many minutes are there between 1:59 PM and 5:55 PM? 236 How many minutes are there between 11:54 AM and 11:40 PM? 706 What is 672 minutes before 8:02 PM? 8:50 AM What is 558 minutes before 7:59 AM? 10:41 PM What is 588 minutes after 1:06 PM? 10:54 PM How many minutes are there between 2:34 AM and 4:49 AM? 135 How many minutes are there between 2:22 AM and 6:48 AM? 266 What is 453 minutes before 3:17 PM? 7:44 AM What is 296 minutes after 5:39 AM? 10:35 AM How many minutes are there between 12:13 PM and 5:13 PM? 300 What is 289 minutes before 9:01 AM? 4:12 AM How many minutes are there between 8:30 PM and 10:30 PM? 120 What is 636 minutes before 10:41 AM? 12:05 AM How many minutes are there between 10:07 PM and 9:57 AM? 710 What is 473 minutes before 10:03 PM? 2:10 PM What is 173 minutes before 8:20 AM? 5:27 AM How many minutes are there between 8:03 PM and 1:21 AM? 318 What is 700 minutes before 4:20 PM? 4:40 AM How many minutes are there between 4:15 PM and 2:43 AM? 628 How many minutes are there between 2:41 PM and 12:51 AM? 610 What is 170 minutes after 10:23 AM? 1:13 PM What is 644 minutes before 8:54 PM? 10:10 AM What is 39 minutes before 4:43 AM? 4:04 AM What is 400 minutes before 3:10 AM? 8:30 PM What is 353 minutes after 12:16 PM? 6:09 PM What is 530 minutes before 1:28 AM? 4:38 PM What is 289 minutes before 12:04 PM? 7:15 AM How many minutes are there between 9:30 AM and 10:37 AM? 67 What is 578 minutes before 12:59 AM? 3:21 PM How many minutes are there between 1:02 AM and 3:09 AM? 127 How many minutes are there between 1:32 AM and 9:32 AM? 480 What is 448 minutes after 9:34 AM? 5:02 PM How many minutes are there between 11:21 PM and 5:59 AM? 398 What is 283 minutes after 5:17 AM? 10:00 AM What is 159 minutes before 12:39 PM? 10:00 AM What is 98 minutes after 9:28 AM? 11:06 AM What is 96 minutes after 6:44 PM? 8:20 PM How many minutes are there between 8:13 PM and 11:56 PM? 223 What is 664 minutes after 2:18 PM? 1:22 AM What is 344 minutes before 9:59 PM? 4:15 PM How many minutes are there between 9:23 PM and 4:31 AM? 428 What is 596 minutes after 1:45 PM? 11:41 PM How many minutes are there between 5:52 PM and 1:54 AM? 482 What is 156 minutes after 1:58 PM? 4:34 PM What is 429 minutes after 1:51 AM? 9:00 AM How many minutes are there between 5:30 PM and 4:57 AM? 687 What is 401 minutes after 9:51 PM? 4:32 AM What is 557 minutes before 11:11 AM? 1:54 AM What is 394 minutes before 3:43 AM? 9:09 PM What is 286 minutes before 8:59 PM? 4:13 PM How many minutes are there between 7:06 AM and 12:48 PM? 342 What is 693 minutes after 1:33 PM? 1:06 AM How many minutes are there between 6:29 PM and 7:18 PM? 49 What is 418 minutes after 4:18 AM? 11:16 AM How many minutes are there between 11:23 AM and 2:13 PM? 170 What is 324 minutes after 5:54 AM? 11:18 AM What is 568 minutes after 10:07 PM? 7:35 AM How many minutes are there between 10:50 PM and 6:09 AM? 439 What is 197 minutes before 11:54 AM? 8:37 AM How many minutes are there between 6:44 PM and 5:08 AM? 624 How many minutes are there between 1:31 PM and 7:25 PM? 354 What is 296 minutes after 2:42 PM? 7:38 PM What is 525 minutes after 10:23 AM? 7:08 PM What is 588 minutes after 3:09 AM? 12:57 PM What is 217 minutes after 1:28 PM? 5:05 PM What is 607 minutes before 6:46 PM? 8:39 AM How many minutes are there between 4:41 AM and 12:18 PM? 457 What is 692 minutes aft
{ "pile_set_name": "DM Mathematics" }
What is the remainder when 581300 is divided by 5644? 5612 Calculate the remainder when 99388589 is divided by 6. 5 Calculate the remainder when 4110953 is divided by 101. 51 What is the remainder when 180649 is divided by 3229? 3054 What is the remainder when 1043701 is divided by 3574? 93 Calculate the remainder when 386198 is divided by 9166. 1226 What is the remainder when 16968 is divided by 8472? 24 What is the remainder when 170706 is divided by 10029? 213 What is the remainder when 26335936 is divided by 552? 16 What is the remainder when 655841113 is divided by 10265? 10263 Calculate the remainder when 34110 is divided by 11249. 363 What is the remainder when 459619 is divided by 331? 191 Calculate the remainder when 564702 is divided by 187171. 3189 What is the remainder when 1296223 is divided by 145? 68 What is the remainder when 622044 is divided by 32720? 364 What is the remainder when 105300 is divided by 35078? 66 Calculate the remainder when 1996951 is divided by 166356. 679 Calculate the remainder when 199337 is divided by 845. 762 Calculate the remainder when 90967191 is divided by 1076. 1075 What is the remainder when 2700487 is divided by 675082? 159 What is the remainder when 541024 is divided by 366? 76 Calculate the remainder when 6102689 is divided by 1281. 5 Calculate the remainder when 2116930 is divided by 641. 348 Calculate the remainder when 633650 is divided by 105097. 3068 What is the remainder when 103141 is divided by 427? 234 What is the remainder when 1165264 is divided by 16? 0 Calculate the remainder when 476179 is divided by 1011. 1009 What is the remainder when 136595412 is divided by 136595386? 26 What is the remainder when 330615 is divided by 330335? 280 Calculate the remainder when 482034780 is divided by 154. 150 Calculate the remainder when 49947280 is divided by 21792. 16 What is the remainder when 858398 is divided by 1181? 992 What is the remainder when 7771128 is divided by 582? 264 What is the remainder when 226843 is divided by 827? 245 What is the remainder when 428447 is divided by 142769? 140 Calculate the remainder when 36144969 is divided by 18072468. 33 What is the remainder when 138160 is divided by 1586? 178 Calculate the remainder when 22822022 is divided by 274. 14 Calculate the remainder when 41257458 is divided by 13752484. 6 Calculate the remainder when 145213 is divided by 1091. 110 Calculate the remainder when 5526333 is divided by 106. 23 Calculate the remainder when 1065842 is divided by 7012. 18 Calculate the remainder when 89978 is divided by 22. 20 Calculate the remainder when 82854798 is divided by 175. 173 Calculate the remainder when 6470351 is divided by 920. 911 Calculate the remainder when 28919579 is divided by 4187. 4157 Calculate the remainder when 2577796 is divided by 30. 16 Calculate the remainder when 7839801 is divided by 30505. 16 What is the remainder when 318726 is divided by 866? 38 Calculate the remainder when 2350705 is divided by 783484. 253 Calculate the remainder when 43830299 is divided by 166. 157 What is the remainder when 2136308 is divided by 802? 582 What is the remainder when 30679545 is divided by 444631? 6 Calculate the remainder when 352264 is divided by 16011. 22 What is the remainder when 7332 is divided by 3016? 1300 Calculate the remainder when 654071 is divided by 474. 425 What is the remainder when 60052297 is divided by 7506534? 25 What is the remainder when 214373 is divided by 21425? 123 What is the remainder when 24353132 is divided by 2843? 2837 What is the remainder when 107879 is divided by 3? 2 What is the remainder when 193628 is divided by 1296? 524 Calculate the remainder when 95491 is divided by 6364. 31 What is the remainder when 1471488 is divided by 93? 42 What is the remainder when 23376923 is divided by 1242? 1241 Calculate the remainder when 2964895 is divided by 1. 0 What is the remainder when 1094593 is divided by 1094547? 46 Calculate the remainder when 28322248 is divided by 353. 352 Calculate the remainder when 41071950 is divided by 12795. 0 Calculate the remainder when 790449 is divided by 982. 921 What is the remainder when 132092 is divided by 755? 722 What is the remainder when 291788 is divided by 97210? 158 Calculate the remainder when 161914 is divided by 1797. 184 What is the remainder when 5424516 is divided by 22? 20 What is the remainder when 1419861 is divided by 949? 157 What is the remainder when 3780438 is divided by 87917? 7 What is the remainder when 10608626 is divided by 26? 2 What is the remainder when 9801592 is divided by 13? 8 Calculate the remainder when 173727 is divided by 4963. 22 Calculate the remainder when 110062 is divided by 12143. 775 What is the remainder when 26364 is divided by 917? 688 Calculate the remainder when 207076 is divided by 12772. 2724 What is the remainder when 258567 is divided by 113? 23 What is the remainder when 78006 is divided by 38651? 704 What is the remainder when 26525 is divided by 2988? 2621 What is the remainder when 576526 is divided by 1052? 30 Calculate the remainder when 336003 is divided by 1615. 83 What is the remainder when 9786952 is divided by 4893442? 68 Calculate the remainder when 1971910 is divided by 39438. 10 Calculate the remainder when 71751 is divided by 1845. 1641 Calculate the remainder when 286978689 is divided by 35872335. 9 Calculate the remainder when 12815198 is divided by 27. 26 Calculate the remainder when 113969180 is divided by 74636. 8 What is the remainder when 84212 is divided by 42022? 168 What is the remainder when 101250811 is divided by 33750264? 19 What is the remainder when 797227 is divided by 357? 46 What is the remainder when 1339047 is divided by 2787? 1287 What is the remainder when 108019 is divided by 107541? 478 What is the remainder when 10589325 is divided by 104? 45 Calculate the remainder when 12760820 is divided by 6784. 116 What is the remainder when 37521932 is divided by 155? 152 What is the remainder when 727522 is divided by 72745? 72 Calculate the remainder when 662992502 is divided by 4. 2 Calculate the remainder when 147398 is divided by 4041. 1922 Calculate the remainder when 163326 is divided by 1350. 1326 What is the remainder when 35301438 is divided by 37? 34 Calculate the remainder when 717565 is divided by 358729. 107 Calculate the remainder when 5421348 is divided by 120474. 18 What is the remainder when 44344302 is divided by 22172142? 18 Calculate the remainder when 46539813 is divided by 20. 13 What is the remainder when 2780518769 is divided by 15? 14 Calculate the remainder when 1517072776 is divided by 169. 167 What is the remainder when 393748 is divided by 56166? 586 Calculate the remainder when 6477005 is divided by 68903. 123 Calculate the remainder when 765744 is divided by 11424. 336 What is the remainder when 1341327 is divided by 1618? 5 What is the remainder when 82735171 is divided by 1426468? 27 What is the remainder when 1460696 is divided by 572? 380 Calculate the remainder when 16039050 is divided by 66552. 18 Calculate the remainder when 5783536 is divided by 262885. 66 What is the remainder when 1060840 is divided by 194? 48 Calculate the remainder when 3398196 is divided by 166. 10 What is the remainder when 3323053 is divided by 6880? 13 Calculate the remainder when 359684 is divided by 4227. 389 Calculate the remainder when 1081919 is divided by 368. 367 What is the remainder when 79814695 is divided by 62? 49 Calculate the remainder when 48287328 is divided by 333. 330 What is the remainder when 115497 is divided by 2575? 2197 What is the remainder when 31855975 is divided by 31855958? 17 What is the remainder when 171332622 is divided by 4079348? 6 Calculate the remainder when 2725588 is divided by 914. 40 Calculate the remainder when 83583 is divided by 3289. 1358 What is the remainder when 1129369 is divided by 682? 659 Calculate the remainder when 1466784 is divided by 261. 225 Calculate the remainder when 957274350 is divided by 34. 32 Calculate the remainder when 11087384 is divided by 5543688. 8 What is the remainder when 145372111 is divided by 72686052? 7 What is the remainder when 16909528 is divided by 213? 97 What is the remainder when 72320
{ "pile_set_name": "DM Mathematics" }
(-84)/(-60) - (-15)/25 - 4/4. Suppose -1/6*o**2 - 5/6*o + q = 0. Calculate o. -6, 1 Suppose -9 - 79 = -22*x. Let b = 75 + -52. Suppose -7*g**x - 15*g**2 + 2*g**4 + 20 - 3*g + 23*g - b*g**3 + 3*g**3 = 0. Calculate g. -2, -1, 1 Let q(m) be the first derivative of 33*m**4/14 - 62*m**3/21 - 200*m**2/7 - 24*m/7 - 3465. Find g such that q(g) = 0. -2, -2/33, 3 Suppose -26*x = -28*x. Suppose 15*v - 43*v + 56 = x. Factor 1/5*r**v - 14/5*r + 49/5. (r - 7)**2/5 Let t(f) be the third derivative of f**7/945 + f**6/540 - 23*f**5/270 + f**4/36 + 10*f**3/3 + 2*f**2 + 92*f. Factor t(b). 2*(b - 3)**2*(b + 2)*(b + 5)/9 Suppose -301735 - 117*m**2 + 1044704 + 121*m**2 + 2489835 + 7192*m = 0. What is m? -899 Let a be ((-648)/96)/((-1)/8). Factor 3 + a*h**2 - 9*h**2 + 125*h - 37 + 4. 5*(h + 3)*(9*h - 2) Let p = -88090 - -88090. Factor p + 2/5*d**2 - 8/5*d. 2*d*(d - 4)/5 Factor -2019/2 + 3/2*h**2 - 1008*h. 3*(h - 673)*(h + 1)/2 Let u(f) be the first derivative of f**6/3 + 32*f**5/5 - 48*f**4 + 364*f**3/3 - 145*f**2 + 84*f - 2833. Find n such that u(n) = 0. -21, 1, 2 Let a(c) = 15*c**3 - 192*c**2 - 1323*c - 2070. Let u(r) = 23*r**3 - 288*r**2 - 1985*r - 3106. Let n(k) = 14*a(k) - 9*u(k). Factor n(v). 3*(v - 38)*(v + 3)**2 Let v be (-3349)/(-110517)*(4/14 + 57/21). Factor v*t**3 + 0 + 12/11*t**2 + 36/11*t. t*(t + 6)**2/11 Let n(d) = -5*d - 28. Suppose -2*h + 4*h + 3*k = 0, -2*h + 4*k - 28 = 0. Let o be n(h). What is z in -2/9*z**o - 50/9 + 20/9*z = 0? 5 Let b = 276 - 274. Let 3*s**b + 62*s**2 + 25*s + 40*s**2 + 20*s**3 = 0. Calculate s. -5, -1/4, 0 Factor 31*z + 41*z**2 - 287*z**3 + 286*z**3 - 30*z + 36*z**2 - 77. -(z - 77)*(z - 1)*(z + 1) Suppose x + 3*z = 39, 5*x - 195 = -3*z + 2*z. Factor -86*g**2 + 100*g - 94 - 26 + 37*g**2 + x*g**2 - 5*g**3. -5*(g - 2)**2*(g + 6) Let g = -45 + -5. Let b = g - -52. Factor 5*j**b - j**2 - 4*j - 10 + 2. 4*(j - 2)*(j + 1) What is w in -250563/2*w**2 - 254031/4*w**3 - 3/4*w**5 - 435*w**4 + 0 + 0*w = 0? -289, -2, 0 Suppose 46/9*b**3 + 0*b + 10/3*b**2 + 4/3*b**4 + 0 = 0. What is b? -3, -5/6, 0 Suppose 0 - 2/7*s**2 - 118/7*s = 0. What is s? -59, 0 Let x be 32/12*(-33)/(-4). Let h = x - 19. Solve -d - h + 10*d**2 + 3 - 11*d**2 + 2 = 0. -2, 1 Let z(m) be the second derivative of -1/10*m**6 - 21/20*m**5 - 2 + 8*m**3 - 25*m - 2*m**4 + 0*m**2. Let z(a) = 0. What is a? -4, 0, 1 Suppose 2*d = 6*b - 8*b + 4, 3*b - 10 = -4*d. Suppose -14*p = -12*p - d. What is x in -46*x + 20*x**4 - 10 + 5*x**5 + 20*x**3 + 5*x - 10*x**p + 16*x = 0? -2, -1, 1 Let h be (-6)/(-14)*11/(-55)*-35. Let y(r) be the second derivative of 0 + 5/4*r**4 - 5/6*r**h + r + 0*r**2. Factor y(m). 5*m*(3*m - 1) Let q(m) be the first derivative of -27*m**3 + 0*m**4 + 0*m + 3/5*m**5 - 81*m**2 + 50. Suppose q(o) = 0. What is o? -3, 0, 6 Let n = 2 - 0. Factor 46 - 30 - x**2 + 12*x - 3*x**n. -4*(x - 4)*(x + 1) Let r be 6/10 - (-4635)/(-5850). Let f = -1/26 - r. Factor -2/13*a**3 + 2/13*a**4 - 2/13*a**2 + 0 + f*a. 2*a*(a - 1)**2*(a + 1)/13 Let -16311*v**2 + 226 + 99 + 15901*v**2 + 85*v**4 + 3*v + 25*v + 207*v - 230*v**3 - 5*v**5 = 0. Calculate v. -1, 1, 5, 13 Factor -4/3*j**5 - 496/3*j**4 + 0 - 295856/3*j**2 - 6888*j**3 - 275684/3*j. -4*j*(j + 1)*(j + 41)**3/3 Let q = 31377/8380 + 12/2095. Let 0 + 3/4*t**5 - 9/4*t**3 - 3/2*t - 3/4*t**4 + q*t**2 = 0. Calculate t. -2, 0, 1 Let w(r) = r**4 - r**3 + 8*r**2 + r + 1. Let g(y) = 10*y**4 - 22*y**3 + 99*y**2 + 106*y + 65. Let n(m) = 2*g(m) - 18*w(m). Let n(b) = 0. Calculate b. -1, 7, 8 Suppose -33*i + 11*i = 28798. Let t = i + 1314. Factor 0*f + 0*f**3 - 4/3*f**t + 0 + 0*f**2 - 4/3*f**4. -4*f**4*(f + 1)/3 Determine p, given that 98/11*p**2 + 1480/11 - 928/11*p - 2/11*p**3 = 0. 2, 10, 37 Let w(r) be the second derivative of -r**7/21 + r**6/15 + r**5/10 - r**4/6 - 2*r - 523. Factor w(q). -2*q**2*(q - 1)**2*(q + 1) Let q be ((-1)/(-5))/(25/1600*-16*(-8)/5). Solve -21/4*v**2 - 9*v + q*v**3 + 0 = 0 for v. -3/2, 0, 12 Let z(v) = -v**3 + 168*v**2 + 1775*v - 43. Let m be z(-10). What is d in m - 1/4*d**2 - 27/4*d = 0? -28, 1 Suppose -481 + 353 + 242 = 38*z. Factor q**z + 8/3 - 7/3*q**2 - 2/3*q. (q - 2)*(q + 1)*(3*q - 4)/3 Factor 315 + 13*y**2 + 851 - 16*y**2 + 150*y - 341. -3*(y - 55)*(y + 5) Let u(x) = -15*x**3 + 131*x**2 - 486*x + 166. Let n(g) = -g**3 - g**2 - g + 11. Let v(b) = 6*n(b) - u(b). Solve v(w) = 0 for w. 2/9, 5, 10 Let i(a) be the second derivative of a**7/10080 - 7*a**6/1440 + 13*a**5/480 - 47*a**4/3 + 13*a - 3. Let r(j) be the third derivative of i(j). Factor r(z). (z - 13)*(z - 1)/4 Factor -125*h**2 - 92480 - 83*h**2 - 5*h**2 - 35011*h - 5*h**3 + 9171*h - 487*h**2. -5*(h + 4)*(h + 68)**2 Let 20800/9*z + 8/9*z**3 - 2/9*z**4 + 622/3*z**2 + 18944/9 = 0. What is z? -16, -1, 37 Let i = -359/3 - -739/6. Factor -2*t - 6*t**2 + 0 + i*t**3. t*(t - 2)*(7*t + 2)/2 Factor 24*o + 123/5 - 3/5*o**2. -3*(o - 41)*(o + 1)/5 Suppose -31*w + 664 - 106 = 0. Let g be 3/9 - (214/w + -12). Solve 10/9*u**4 + 0*u**2 + 0*u + g*u**3 + 0 = 0. -2/5, 0 Let j(o) be the first derivative of o**6/24 + o**5/4 - 6*o**4 + 94*o**3/3 - 74*o**2 + 84*o + 1562. Solve j(i) = 0 for i. -14, 2, 3 Factor 49/6*y**2 + 1/6*y**3 + 54 - 44*y. (y - 3)*(y - 2)*(y + 54)/6 Let u be ((-171)/(-10260))/((-12)/(-20)). Let w(b) be the third derivative of -u*b**4 - 1/540*b**5 + 0 + 0*b + 48*b**2 + 8/27*b**3. Find q such that w(q) = 0. -8, 2 Let f(m) be the first derivative of -1/36*m**3 - 2*m - 14 + 0*m**2 - 1/72*m**4. Let b(a) be the first derivative of f(a). Let b(h) = 0. What is h? -1, 0 Let x(u) be the third derivative of 32*u**7/945 - 28*u**6/135 + 13*u**5/27 - 25*u**4/54 + 1820*u**2. Factor x(c). 4*c*(c - 1)*(4*c - 5)**2/9 Determine j, given that 22/5*j**2 - 2/5*j**3 + 172/5*j - 192/5 = 0. -6, 1, 16 Let h be 5220/(-720) - ((-74)/10 + 9/(-15)). Let 3/2*l - h*l**2 - 1/4*l**3 + 2 = 0. Calculate l. -4, -1, 2 Factor 90/7*q - 100/7 + 12/7*q**2 - 2/7*q**3. -2*(q - 10)*(q - 1)*(q + 5)/7 Factor -837294 + 157937 - 104723 + 3960*g - 5*g**2. -5*(g - 396)**2 Factor -768/11 - 2/11*j**2 + 262/11*j. -2*(j - 128)*(j - 3)/11 Let -84*q**3 - 72*q**2 + 932846*q - 932846*q - 20*q**4 - 3*q**5 - 10*q**4 = 0. What is q? -6, -2, 0 Suppose 5*c - 18 + 43 = 0. Let d be ((-396)/(-120))/(-33) + (-3)/c. Determine r, given that -d*r**2 - 1/2*r + 0 = 0. -1, 0 Let i be (2 - -22)/3 - (5115/(-62))/(24/(-2)). Factor 3/4*b + 21/8*b**2 - i + 3/4*b**3. 3*(b + 1)*(b + 3)*(2*b - 1)/8 Find r, given that r**2 + 1/5*r**3 - 57/5*r + 99/5 = 0. -11, 3 Let l(y) be the first derivative of y**4/44 + 101*y**3/33 - y**2/22 - 101*y/11 - 2798. Factor l(q). (q - 1)*(q + 1)*(q + 101)/11 Let n(o) be the third derivative of -1/140*o**5 - 69*o**2 + 0*o**3 + 0*o + 0 - 3/56*o**4. Determine l, given that n(l) = 0. -3, 0 Suppose 0 = -0*c - 4*c + 3*x + 23, c - 5*x = 27. Suppose -k = c*f - 5*f - 5, 4*f + 20 = 2*k. Factor 25*b**3 + k*b**2 + 5*b**4 - 95*b**3 + 50*b**3. 5*b**2*(b - 2)**2 Suppose -3*o - 26 = -5*m, 4*m - o - o - 20 = 0. Suppose y - 4*j + 12 = 0, -m*j - 20 = -5*y - 0*j. Factor -2*r**2 + 6 - r**4 + 3*r**2 - 3 + y*r + 5*r**2. -(r - 3)*(r + 1)**3 Suppose b - 8*z - 22 = -3*z, -b - 2*z = 6. Determine h so that 85*h**2 - 181*h**b - 18*h + 81*h**2 = 0. -6/5, 0 Let w(c) be the third derivative of c**6/180 - 338*c**5/15 + 114469*c**4/4 - 2052338*c**3/9 + 8022*c**2. Determine u so that w(u) = 0. 2, 1013 Solve -7/4*w**4 + 5/4*w**5 + 0 - 9/2*w - 43/4*w**3 + 63/4*w**2 = 0 for w. -3, 0, 2/5, 1, 3 Let x(u) = -35*u**2 + 8485*u + 17740. Let z(y) = 5*y**2 - 1215*y - 2534. Let i(d) = -2*x(d) - 15*z(d). Let i(r) = 0. Calculate r. -2, 253 Let h be (-9)/((1 - -1)*(-12)/8). Factor p**2 - p**4 - 2*p - 2*p**3 + 3*p**3 - p**h + 2*p**3. -p*(p - 2)*(p - 1)*(p + 1) Let c(i) be the second derivative of i**5/240 + 5*i**4/96 + i**3/4 - 73*i**2/2 + i + 152. Let b(v) be the first derivative of c(v). Solve b(x) = 0 for x. -3, -2 Factor -1704/13*t + 2/13*t**2 + 362952/13. 2*(t - 426)**2/13 Let l = -17 - -24. Let k(w) = 3*w - 18. Let h be k(l). Solve -8*n + 2*n**4 + n**2 - 3*n**3 - 10*n**h + 21*n**3 + 5*n**2 - 8 = 0. -2, -1, 1 Suppose -2*s + l = -17, -4*l + 0 - 33 = -3*s. Suppose 5*p = -3*m - 4 + s, 4*p - m = -1. Factor p*b - 2/9*b**5 - 16/9*b**3 + 10/9*b**4 + 0 + 8/9*b**2. -2*b**2*(b - 2)**2*(b - 1)/9 Let w(i) be the second derivative of -6/7*i**3 - 11 - 1/105*i**6 + 29/70*i**5 +
{ "pile_set_name": "DM Mathematics" }
es after 8:25 AM? 11:01 AM How many minutes are there between 2:09 PM and 4:54 PM? 165 What is 508 minutes after 8:54 PM? 5:22 AM What is 670 minutes after 2:50 PM? 2:00 AM What is 646 minutes after 3:18 AM? 2:04 PM What is 627 minutes after 2:32 PM? 12:59 AM How many minutes are there between 2:03 PM and 7:08 PM? 305 What is 172 minutes before 5:42 PM? 2:50 PM How many minutes are there between 7:06 PM and 11:16 PM? 250 How many minutes are there between 3:37 PM and 11:45 PM? 488 What is 677 minutes after 6:14 PM? 5:31 AM How many minutes are there between 6:08 AM and 9:00 AM? 172 How many minutes are there between 5:31 PM and 3:01 AM? 570 How many minutes are there between 4:06 PM and 10:22 PM? 376 What is 705 minutes after 11:38 AM? 11:23 PM How many minutes are there between 11:06 PM and 7:19 AM? 493 How many minutes are there between 5:30 PM and 8:10 PM? 160 How many minutes are there between 11:50 AM and 10:14 PM? 624 How many minutes are there between 1:49 PM and 12:56 AM? 667 How many minutes are there between 6:09 AM and 2:03 PM? 474 How many minutes are there between 3:47 PM and 6:48 PM? 181 How many minutes are there between 10:47 PM and 6:15 AM? 448 What is 126 minutes before 10:44 AM? 8:38 AM How many minutes are there between 1:33 PM and 2:35 PM? 62 What is 67 minutes after 10:12 PM? 11:19 PM What is 323 minutes after 12:12 AM? 5:35 AM How many minutes are there between 9:56 PM and 10:36 PM? 40 What is 552 minutes before 2:51 AM? 5:39 PM What is 67 minutes after 12:03 PM? 1:10 PM What is 406 minutes before 11:40 PM? 4:54 PM What is 420 minutes before 1:07 AM? 6:07 PM How many minutes are there between 2:23 PM and 7:15 PM? 292 How many minutes are there between 7:09 PM and 12:13 AM? 304 What is 167 minutes after 8:25 AM? 11:12 AM How many minutes are there between 4:41 AM and 9:01 AM? 260 What is 520 minutes after 6:32 AM? 3:12 PM What is 539 minutes before 5:38 AM? 8:39 PM What is 354 minutes before 1:59 AM? 8:05 PM What is 677 minutes before 1:10 AM? 1:53 PM What is 10 minutes before 3:37 PM? 3:27 PM What is 470 minutes before 3:49 AM? 7:59 PM What is 402 minutes after 7:28 PM? 2:10 AM What is 592 minutes after 1:59 PM? 11:51 PM What is 203 minutes after 3:08 PM? 6:31 PM How many minutes are there between 6:33 PM and 10:57 PM? 264 What is 88 minutes before 6:14 PM? 4:46 PM How many minutes are there between 3:12 AM and 12:24 PM? 552 What is 592 minutes before 10:49 PM? 12:57 PM What is 492 minutes after 7:59 PM? 4:11 AM How many minutes are there between 1:59 AM and 6:52 AM? 293 What is 503 minutes after 4:11 PM? 12:34 AM What is 53 minutes after 12:04 AM? 12:57 AM What is 110 minutes before 3:20 AM? 1:30 AM What is 50 minutes before 2:43 PM? 1:53 PM How many minutes are there between 8:35 PM and 11:31 PM? 176 What is 456 minutes after 5:14 AM? 12:50 PM How many minutes are there between 9:09 PM and 9:50 PM? 41 What is 159 minutes before 4:05 AM? 1:26 AM What is 538 minutes after 7:46 AM? 4:44 PM How many minutes are there between 6:27 PM and 5:47 AM? 680 How many minutes are there between 6:37 PM and 5:44 AM? 667 What is 53 minutes after 4:47 PM? 5:40 PM How many minutes are there between 11:55 AM and 2:31 PM? 156 What is 313 minutes after 11:34 PM? 4:47 AM What is 331 minutes before 3:40 PM? 10:09 AM What is 97 minutes after 1:35 PM? 3:12 PM What is 618 minutes after 9:52 AM? 8:10 PM What is 468 minutes after 1:47 PM? 9:35 PM What is 36 minutes after 2:49 PM? 3:25 PM What is 249 minutes before 9:24 AM? 5:15 AM What is 302 minutes before 5:31 AM? 12:29 AM How many minutes are there between 5:03 PM and 9:17 PM? 254 How many minutes are there between 7:56 AM and 10:51 AM? 175 What is 443 minutes after 5:39 PM? 1:02 AM What is 582 minutes before 8:34 PM? 10:52 AM How many minutes are there between 1:53 AM and 12:29 PM? 636 How many minutes are there between 11:18 PM and 3:57 AM? 279 What is 416 minutes before 2:05 PM? 7:09 AM How many minutes are there between 4:36 AM and 12:15 PM? 459 What is 490 minutes after 10:55 AM? 7:05 PM How many minutes are there between 4:16 AM and 9:02 AM? 286 What is 517 minutes before 7:38 PM? 11:01 AM How many minutes are there between 6:13 AM and 11:09 AM? 296 How many minutes are there between 8:21 AM and 6:12 PM? 591 What is 414 minutes after 8:28 PM? 3:22 AM What is 292 minutes before 3:50 AM? 10:58 PM How many minutes are there between 7:50 PM and 4:14 AM? 504 How many minutes are there between 4:48 PM and 10:43 PM? 355 How many minutes are there between 1:55 AM and 8:55 AM? 420 What is 44 minutes before 4:37 AM? 3:53 AM What is 539 minutes after 4:46 AM? 1:45 PM What is 664 minutes before 8:25 AM? 9:21 PM What is 514 minutes before 8:58 AM? 12:24 AM How many minutes are there between 9:36 PM and 9:26 AM? 710 What is 4 minutes before 11:28 PM? 11:24 PM How many minutes are there between 10:19 AM and 5:31 PM? 432 How many minutes are there between 11:10 PM and 3:01 AM? 231 How many minutes are there between 5:55 PM and 4:47 AM? 652 How many minutes are there between 4:21 PM and 6:02 PM? 101 How many minutes are there between 8:27 PM and 7:34 AM? 667 How many minutes are there between 8:36 PM and 10:06 PM? 90 How many minutes are there between 3:09 AM and 6:01 AM? 172 What is 120 minutes after 1:44 AM? 3:44 AM How many minutes are there between 12:12 AM and 3:16 AM? 184 What is 251 minutes before 8:21 PM? 4:10 PM How many minutes are there between 4:01 AM and 11:40 AM? 459 What is 366 minutes before 5:56 PM? 11:50 AM What is 685 minutes after 8:42 AM? 8:07 PM What is 353 minutes before 5:31 AM? 11:38 PM How many minutes are there between 10:02 PM and 8:41 AM? 639 How many minutes are there between 1:08 AM and 2:45 AM? 97 What is 110 minutes after 2:13 PM? 4:03 PM How many minutes are there between 7:51 PM and 3:56 AM? 485 How many minutes are there between 9:24 PM and 2:46 AM? 322 How many minutes are there between 10:57 PM and 11:53 PM? 56 What is 669 minutes after 5:08 AM? 4:17 PM How many minutes are there between 7:30 AM and 9:27 AM? 117 What is 128 minutes before 3:27 PM? 1:19 PM What is 376 minutes before 9:43 AM? 3:27 AM What is 618 minutes before 1:06 PM? 2:48 AM How many minutes are there between 6:39 AM and 1:51 PM? 432 How many minutes are there between 12:08 AM and 2:46 AM? 158 What is 191 minutes before 6:45 AM? 3:34 AM What is 670 minutes after 1:25 PM? 12:35 AM How many minutes are there between 5:09 PM and 4:55 AM? 706 What is 327 minutes before 1:02 AM? 7:35 PM What is 591 minutes after 12:16 PM? 10:07 PM How many minutes are there between 7:45 AM and 6:02 PM? 617 What is 692 minutes after 9:50 AM? 9:22 PM How many minutes are there between 11:58 AM and 4:28 PM? 270 How many minutes are there between 7:05 PM and 9:11 PM? 126 How many minutes are there between 8:25 PM and 5:44 AM? 559 How many minutes are there between 5:01 AM and 5:52 AM? 51 How many minutes are there between 12:42 AM and 10:28 AM? 586 How many minutes are there between 11:07 AM and 1:13 PM? 126 How many minutes are there between 4:59 AM and 11:10 AM? 371 How many minutes are there between 5:00 PM and 2:57 AM? 597 How many minutes are there between 9:28 PM and 8:44 AM? 676 What is 11 minutes before 2:00 PM? 1:49 PM What is 145 minutes before 1:56 AM? 11:31 PM How many minutes are there between 10:58 PM and 10:17 AM? 679 How many minutes are there between 11:45 PM and 2:19 AM? 154 What is 266 minutes before 8:18 PM? 3:52 PM How many minutes are there between 11:04 AM and 9:13 PM? 609 What is 630 minutes after 1:58 AM? 12:28 PM What is 249 minutes after 9:55 PM? 2:04 AM What is 158 minutes before 12:34 AM? 9:56 PM How many minutes are there between 3:59 AM and 3:42 PM? 703 What is 300 minutes before 10:27 AM? 5:27 AM How many minutes are there between 4:55 PM and 4:00 AM? 665 How many minutes are there between 3:52 PM and 10:26 PM? 394 How many minutes are there between 9:14 AM and 9:41 AM? 27 What is 243 minutes after 7:08 AM? 11:11 AM How many minutes are there between 5:31 PM and 1:47 AM? 496 What is 416 minutes before 6:16 AM? 11:20 PM What is 304 minutes after 8:44 PM? 1:48 AM How many minutes are there between 3:32 PM and 10:56 PM? 444 How many minutes are there between 4:30 PM and 3:49 AM? 679 What is 19
{ "pile_set_name": "DM Mathematics" }
und 0.16491 to 2 decimal places. 0.16 Round -235100000 to the nearest 1000000. -235000000 What is -419900 rounded to the nearest 100000? -400000 What is 0.000000302 rounded to 7 decimal places? 0.0000003 What is 0.0042245 rounded to 4 decimal places? 0.0042 What is 0.00037835 rounded to six dps? 0.000378 Round 0.0000065857 to seven dps. 0.0000066 What is -540600 rounded to the nearest 100000? -500000 Round 9.0757 to zero dps. 9 What is -0.02786 rounded to two dps? -0.03 Round -4844400 to the nearest 100000. -4800000 What is 43.63 rounded to the nearest 10? 40 Round -1300.16 to the nearest one hundred. -1300 Round -0.00019865 to 6 decimal places. -0.000199 Round -1.6863 to 2 decimal places. -1.69 What is -0.0000554 rounded to 6 decimal places? -0.000055 Round -0.000006175 to six decimal places. -0.000006 Round 5.295 to one dp. 5.3 Round 133820 to the nearest 1000. 134000 Round 25 to the nearest 10. 30 Round -312800 to the nearest 100000. -300000 Round 0.025831 to four decimal places. 0.0258 What is 121000 rounded to the nearest 10000? 120000 Round -0.00000050496 to seven dps. -0.0000005 Round 6170 to the nearest one hundred. 6200 Round 915.52 to the nearest integer. 916 What is -6720 rounded to the nearest one hundred? -6700 What is 57457 rounded to the nearest ten thousand? 60000 What is -18.82 rounded to zero dps? -19 Round 0.0000057036 to 6 decimal places. 0.000006 What is -0.00046146 rounded to 5 decimal places? -0.00046 What is 158.62 rounded to the nearest 10? 160 Round -2604500 to the nearest ten thousand. -2600000 What is -11427000 rounded to the nearest 1000000? -11000000 Round -1582 to the nearest 10. -1580 What is -0.002258 rounded to 2 dps? 0 What is 0.00001308 rounded to 6 decimal places? 0.000013 What is 155840 rounded to the nearest 1000? 156000 What is 0.000048677 rounded to 5 decimal places? 0.00005 Round -0.0010634 to 4 dps. -0.0011 What is -7936000 rounded to the nearest 100000? -7900000 Round -0.011989 to four dps. -0.012 What is 1.9244 rounded to zero decimal places? 2 Round -4606.2 to the nearest 100. -4600 What is -0.15689 rounded to 2 dps? -0.16 What is -0.1416 rounded to two decimal places? -0.14 What is -19366000 rounded to the nearest 1000000? -19000000 What is -0.009175 rounded to 4 decimal places? -0.0092 Round -199420 to the nearest 10000. -200000 What is -14.1546 rounded to one decimal place? -14.2 Round 0.000003255 to seven dps. 0.0000033 What is -59.22 rounded to the nearest 10? -60 Round -0.000637 to five decimal places. -0.00064 Round 2060600 to the nearest ten thousand. 2060000 Round 157050000 to the nearest 1000000. 157000000 What is -27.68 rounded to 1 dp? -27.7 Round -0.007615 to 3 decimal places. -0.008 What is -923 rounded to the nearest 10? -920 Round -0.010636 to 3 decimal places. -0.011 Round -0.00001211 to five dps. -0.00001 Round -1.92402 to 2 dps. -1.92 Round -0.000000234 to 7 decimal places. -0.0000002 Round 101000 to the nearest one hundred thousand. 100000 Round 109380 to the nearest ten thousand. 110000 What is -0.0003803 rounded to five decimal places? -0.00038 Round -535.36 to zero dps. -535 Round -2608140 to the nearest one hundred thousand. -2600000 Round 71406000 to the nearest 100000. 71400000 What is 1.203 rounded to 1 decimal place? 1.2 Round 1.3849 to 1 dp. 1.4 What is -1671.8 rounded to the nearest one hundred? -1700 Round -29.805 to 0 dps. -30 Round -4913200 to the nearest one hundred thousand. -4900000 What is 0.00107496 rounded to 5 decimal places? 0.00107 What is 28.42 rounded to 0 dps? 28 What is -364 rounded to the nearest one hundred? -400 What is 0.002921 rounded to 4 dps? 0.0029 What is -36.927 rounded to zero decimal places? -37 What is 253.6 rounded to the nearest one hundred? 300 What is 0.0000639 rounded to 4 decimal places? 0.0001 What is -10.54 rounded to zero dps? -11 Round -0.00000352 to 7 dps. -0.0000035 Round -0.00029262 to five decimal places. -0.00029 What is -38.63 rounded to zero decimal places? -39 What is 0.08126 rounded to three dps? 0.081 Round -364147 to the nearest one thousand. -364000 What is 0.007941 rounded to 3 decimal places? 0.008 What is 0.00049407 rounded to 6 decimal places? 0.000494 What is -127.19 rounded to the nearest 10? -130 Round 0.00154871 to 5 decimal places. 0.00155 Round -42060400 to the nearest 1000000. -42000000 What is -0.004203 rounded to three dps? -0.004 What is 0.00001391 rounded to six decimal places? 0.000014 What is -0.001588 rounded to 5 dps? -0.00159 Round -5147 to the nearest one thousand. -5000 What is -13741 rounded to the nearest 100? -13700 What is -1.2859 rounded to two decimal places? -1.29 What is -10472 rounded to the nearest 1000? -10000 What is -0.0356 rounded to 2 dps? -0.04 What is -5130 rounded to the nearest 100? -5100 What is 0.3996 rounded to 1 decimal place? 0.4 Round -0.00358147 to 5 dps. -0.00358 Round 0.028128 to 2 dps. 0.03 Round 332.66 to zero dps. 333 Round 167300000 to the nearest 1000000. 167000000 Round 13437 to the nearest 1000. 13000 Round -38 to the nearest ten. -40 Round -54.15 to the nearest 10. -50 Round 7.526 to the nearest integer. 8 What is 28807000 rounded to the nearest 1000000? 29000000 What is 36.203 rounded to zero decimal places? 36 Round 0.0152501 to four dps. 0.0153 What is -5410 rounded to the nearest one hundred? -5400 What is -0.000673851 rounded to 5 decimal places? -0.00067 Round 0.00000940981 to six decimal places. 0.000009 What is 40972900 rounded to the nearest one million? 41000000 What is 6371.1 rounded to the nearest 100? 6400 What is 6842 rounded to the nearest one thousand? 7000 Round -0.00005257 to six dps. -0.000053 Round 49216000 to the nearest one hundred thousand. 49200000 What is -1550000 rounded to the nearest 10000? -1550000 Round 14.33 to zero decimal places. 14 What is 9142000 rounded to the nearest one hundred thousand? 9100000 What is 0.00668 rounded to 3 decimal places? 0.007 Round -0.00001367 to 5 dps. -0.00001 What is 0.431 rounded to two dps? 0.43 What is -4.40204 rounded to two decimal places? -4.4 Round 1949 to the nearest 100. 1900 Round -4.365 to the nearest integer. -4 What is 0.4144 rounded to 1 decimal place? 0.4 What is -17174.1 rounded to the nearest 100? -17200 Round -535.49 to the nearest ten. -540 Round -0.4944 to two dps. -0.49 Round -0.00005911 to six decimal places. -0.000059 What is -0.00000017977 rounded to 7 decimal places? -0.0000002 Round -0.0049226 to 4 dps. -0.0049 Round 0.001686 to 4 decimal places. 0.0017 What is -0.4901 rounded to one dp? -0.5 Round 0.00000535 to 5 dps. 0.00001 What is -7520 rounded to the nearest 100? -7500 What is -0.000008493 rounded to 7 dps? -0.0000085 What is -30.2 rounded to the nearest integer? -30 Round -1.21 to one dp. -1.2 What is -95100 rounded to the nearest 1000? -95000 Round -24762 to the nearest one thousand. -25000 Round 52.03 to 0 decimal places. 52 What is 0.000000460234 rounded to seven dps? 0.0000005 Round 35.81 to the nearest integer. 36 Round 1439400 to the nearest 10000. 1440000 Round 4227 to the nearest one thousand. 4000 Round 0.000075 to six dps. 0.000075 Round 1012800 to the nearest ten thousand. 1010000 Round 6.163 to 1 decimal place. 6.2 What is -1061.5 rounded to the nearest one hundred? -1100 What is -4.2154 rounded to 0 decimal places? -4 Round -201690 to the nearest ten thousand. -200000 What is -0.000017398 rounded to 6 decimal places? -0.000017 What is -8890 rounded to the nearest 1000? -9000 What is -946280 rounded to the nearest 10000? -950000 Round -79.9 to the nearest ten. -80 What is -4.0355 rounded to 2 decimal places? -4.04 What is -213700000 rounded to the nearest 1000000? -214000000 Round 0.0006054 to four dps. 0.0006 What is 25657 rounded to the nearest one thousand? 26000 Round 0.00000685 to six dps. 0.000007 What is -1888800 rounded to the nearest 10000? -1890000 Round 90.96 to the nearest one hundred. 100 Round 1530.6 to the nearest ten. 1530 What is -633 rounded to the nearest one hundred? -600 What is 0.0000778 rounded to five decimal places? 0.00008 Round -0.0034382 to four dps. -0.0034 Round -4753000 to the nearest 1000000. -5000000 What is 3.94 rounded to the nearest integer? 4 What is -8744000 rounded to the nearest one million? -9000000 What is -0.036
{ "pile_set_name": "DM Mathematics" }
5*o - 2*o + 3. Suppose -9*d = -8*d - 11. What is the lowest common multiple of (-2)/((-2)/o) + 3 and d? 22 Let u(k) = -k**2 - 6*k + 10. What is the lowest common multiple of u(-6) and 10? 10 Let r(w) = w**3 + 4*w**2 - 6*w + 6. Let g be r(-6). Find the common denominator of -5 + 8 + g/16 and -49/3. 24 Let g = -4 + 6. Suppose 10*s + 7 = 9*s. Calculate the smallest common multiple of 1 and (s - -5)*-1*g. 4 Let z = 137 - 64. Suppose w - 58 = z. Suppose 0 = -5*j - 21 + w. Calculate the least common multiple of j and 16. 176 Let v(l) = -2*l + 28. Calculate the least common multiple of 4 and v(12). 4 Suppose 3*b + 21 = 63. Suppose -3*z = 2*z - 15. What is the least common multiple of 9 + (-3 - -1) + z and b? 70 Suppose 32 = -5*x + u + 133, 5*x + 2*u = 98. Let y be ((-6)/4)/(3/(-8)). Suppose -y*g = g - x. Calculate the least common multiple of 4 and g. 4 Suppose 2*w - i = 3*w - 5, -5*i + 20 = 0. Calculate the least common multiple of w and 7. 7 Let s = 40 - 28. Let w = 371 - 361. What is the smallest common multiple of s and w? 60 Let w = 6 + 6. What is the lowest common multiple of 5 and w? 60 Find the common denominator of (-2 - 0) + 49/4 and -29/10. 20 Suppose -2*q = -f - f + 82, 0 = 5*f + 4*q - 250. What is the lowest common multiple of f and 9? 414 Let j = 17 - 16. What is the common denominator of 38/6*j/(-6) and -19/6? 18 Let c = 8 - -7. Let k = 17 - 12. Suppose 2*x = -k + c. Calculate the lowest common multiple of 9 and x. 45 Find the common denominator of -131/30 and (-108)/12*5/48. 240 Let i(v) = -7*v + 2. Let g(j) = -j**2 - j. Let c(r) = g(r) - i(r). Let t be c(4). Find the common denominator of 4/t + 155/24 and 131/6. 24 Suppose a - 5*a = 76. Let u = a + 28. Suppose -20 + 7 = -3*y + q, -10 = -5*q. What is the least common multiple of u and y? 45 Let t be -1 - (-3)/3 - 1. Let c be t/((-3)/(-27))*-1. What is the common denominator of 180/27*c/(-2) and -41? 1 Suppose -1 - 3 = -2*a. Calculate the least common multiple of a and (-20)/5*-2 - 0. 8 Let f(z) = z**2 - 5*z - 6. Suppose -4*d + 9*q - 12 = 4*q, 3*d + 2*q = 14. Calculate the smallest common multiple of d and f(7). 8 Let d be 13/5 - (-4)/10. Let a = 6 - d. Suppose 37 = 5*r - 2*o + a*o, -2*r = o - 13. Calculate the least common multiple of 28 and r. 56 Suppose -71 - 127 = -9*o. Calculate the common denominator of 59/42 and o. 42 Let l = -1086 + 5447/5. Calculate the common denominator of l and -12. 5 Let v = -19/369 + -10000/4059. Find the common denominator of 58/15 and v. 165 Let i = 201 + -155. Calculate the common denominator of i and (-3)/(-9) + (-164)/33. 11 Let x = 593/3 + -189. Find the common denominator of x and 49/11. 33 Suppose 10*u - 6*u = 8012. Let k = 13969/7 - u. Calculate the common denominator of k and (-104)/30 - 2/(-3). 35 Let p = -8806 - -193775/22. What is the common denominator of p and (-1 - (-6)/4)*95? 22 Let p = 1384 + -24863/18. Let v = -8456 + 67553/8. Find the common denominator of p and v. 72 Let f(y) = -y + 13. Let o be f(11). Suppose h - o*c - 3*c - 12 = 0, -3*h = -4*c - 14. Calculate the least common multiple of h and 6. 6 Let q = 4 - 2. Suppose 3*n - q*n - 5 = -u, 4*u = n. Let h = -41 + 63. What is the least common multiple of h and n? 44 Suppose 4*x - 12 + 4 = 0. Calculate the common denominator of (-6471)/1260 + x/7 and 7/4. 20 Let d be ((-550)/(-8))/(1 + 1). Let o be 1362/(-80) - (-4)/10. Let n = d + o. Calculate the common denominator of n and -23/6. 12 Let y be (-6)/(-15) + (-186)/(-10). Suppose 1 = 3*l + 5*u - y, -4*l = 5*u - 30. What is the smallest common multiple of l and 11? 110 Let a(y) = y**2 - y - 1. Let w be a(-3). What is the least common multiple of 2 and w - ((-9)/3 + 6)? 8 Let j = 13 - 21. What is the common denominator of -16 + (0 - (-2)/j) and -5/2? 4 Let j = -15 - -21. Let p = -3 + 7. Calculate the lowest common multiple of j and p. 12 Let l be 5/(-2*(-3)/(-48)). Find the common denominator of 83/4 and (-1)/(-5) + 93/l. 8 Let q be (67203/(-12))/(-9) + 2. Let b = -612 + q. What is the common denominator of b and -31/2? 4 Let o = -135/28 - -6407/420. Let a = o + -23/15. Calculate the common denominator of -37 and a. 10 What is the smallest common multiple of 2 and (10 - 55)*4/(-10)? 18 Let x(i) = i**2 - 6*i - 13. Let m be x(9). Suppose -29 = -5*b - m. Suppose -2*v + 5 + 3 = 0. What is the lowest common multiple of b and v? 12 Let y = 0 - 0. Suppose 4*l + 0*l - 472 = y. Find the common denominator of 36/11 and (-9)/(-3)*l/(-54). 99 Calculate the lowest common multiple of (372/10)/3 + (-8)/20 and 30. 60 What is the least common multiple of (0 - -1)*4 + 16 and 10? 20 Suppose -5*v - 3*c + 703 = 0, 0 = 4*c + 1 - 5. Calculate the least common multiple of 12 and v. 420 Suppose 6*t - 4*t - 10 = 0. Calculate the smallest common multiple of 14 and (-126)/(-15) - 2/t. 56 Let u be (1/3)/(4/48). Suppose -b = -32 + u. Calculate the least common multiple of b and 20. 140 Let j = -9 - -20. What is the lowest common multiple of 1 and j? 11 Suppose 4*y = -5*k + 102 + 4, 3*k = -5*y + 61. What is the smallest common multiple of 4 and k? 44 Suppose 7 = -5*u + o, -2*u - 4*o - 12 = -9*o. What is the lowest common multiple of (0 + 1)/(u/(-2)) and 16? 16 Suppose 3*r + 2*d - 12 = 0, -5*d + 0*d = -3*r - 9. What is the smallest common multiple of r and 5? 10 Calculate the least common multiple of 14 and (-395)/(-15) + 1/(-3). 182 Suppose 643 = 2*j - 1379. Let q be (-303)/2*257/j. Let w = -4/337 - q. What is the common denominator of 55/12 and w? 12 Let u = 11 - 4. Let i(b) = 4 + 2*b - u + 0*b - 3. What is the lowest common multiple of 2 and i(7)? 8 Suppose -4*i + i + 9 = 0. Let j(v) = -2*v**2 - 3*v**3 - i*v + v**3 - v**2. Calculate the smallest common multiple of j(-2) and 11. 110 Let o be (-1 - -4 - 0)*1. Suppose o*z + 2 = 5*z. What is the lowest common multiple of 2 and z? 2 What is the lowest common multiple of (9/(27/(-30)))/(-2) and 10? 10 Suppose -t = 3*w + 2*t + 21, w - 3*t - 5 = 0. What is the least common multiple of 2 and (55/10)/((-2)/w)? 22 Suppose 2*d + 2*d = 4*z - 184, 4*z - 169 = -d. Suppose -2*i = 2*n + 57 - 173, -3*n + 3*i = -204. Let l = n - z. What is the least common multiple of 18 and l? 180 Suppose -6*q + 10 = -5*q. Calculate the lowest common multiple of q and 18. 90 Suppose -4*h + 2*h + 22 = 0. Let k = -5 + h. Calculate the common denominator of -27/2 and k/21 - 24/(-21). 14 Let n = 10225628/17 - 601734. Let x = -70609/306 - n. Calculate the common denominator of x and 71/10. 90 Suppose 2*z + 4 - 2 = 0, 29 = -5*f + z. Let y(j) = j**3 + 5*j**2 - 7*j + 6. Calculate the least common multiple of y(f) and 6. 12 Suppose -24 - 42 = -3*w. Calculate the smallest common multiple of w and 22. 22 Suppose 2*u - u + 1849 = 0. Let x = 7299/4 + u. What is the common denominator of 53/7 and x? 28 Suppose 7 = 3*y - 2. Calculate the lowest common multiple of y and 3. 3 Let n = -37/68 + 5/17. Calculate the common denominator of n and (0 - 0) + 198/20. 20 Suppose -5*l = 4*s + 4, -1 + 6 = -5*s. Suppose 20 = -4*h, l = 2*a - 4*h - 6 - 6. What is the common denominator of (10/a)/((-20)/15) and -37/22? 88 Let f = 26905/6 + -4494. Calculate the common denominator of ((-110)/5)/(4/5) and f. 6 What is the common denominator of (-3)/(-4)*(-1608)/(-36) and -9/112? 112 Let s(p) = 3*p. Let t be s(1). Suppose t*k = 5*c - 39, 8*k - 3*k + 33 = 3*c. What is the least common multiple of c and 8? 24 Let l(d) = d + 3. Let h(f) = -f**2 + 4*f - 6. Let k(c) = -1. Let y(u) = h(u) - 6*k(u). What is the smallest common multiple of l(5) and y(3)? 24 Let w(t) = t**3 - 2*t**2 + 2*t + 1. Let a be w(3). Suppose 0 = 4*l + 12, -5*c + l + a = -47. Calculate the lowest common multiple of c and 9. 36 Suppose -3*z + 2*s + 41 = -6, 2*z - s - 31 = 0. What is the least common multiple of 18 and z? 90 Suppose -13 = -2*c + c - 2*g, -2*c = 5*g - 24. Let q = c - 7. Suppose -2*o - 2*v - 10 = -2, 3*o = -4*v - 17. Calculate the smallest common multiple of q and o. 10 Let w(n) = -n**3 - 2*n**2 + 5*n - 2. Calculate the smallest common multiple of w(-4) and 10. 10 Calculate the common denominator of -11/8 and -46*(-1)/(156/9). 104 Suppose 2*z + 4 - 6 = 0. Suppose -z + 3 = u. Find the common denominator of 1 + (u - 126/4) and 19/9. 18 Let s = 7 - 10. Let i be (542/(-9))/(s - 1). Let m = -14/9 + i. What is
{ "pile_set_name": "DM Mathematics" }
is the units digit of n? 7 Let y(g) = -g**2 + 6*g - 6. Let j be y(6). Suppose b - 2*a - 1 = -0*b, 0 = -3*b + 3*a + 18. Let q = j + b. What is the units digit of q? 5 Let n be 560/(-30) + 2/(-6). Let f = 2 - n. What is the tens digit of f? 2 Suppose 5*v = 540 + 295. What is the hundreds digit of v? 1 Let c(y) = 6*y**3. Let a be c(1). Suppose -a = -5*k + 2*r + 4, 2 = k + 5*r. Let d = 6 + k. What is the units digit of d? 8 Suppose 6 = -5*r + 16, r = -3*g + 29. Suppose -6*f - 81 = -g*f. What is the tens digit of f? 2 What is the units digit of (80/32)/((-669)/336 - -2)? 0 Let j(k) = -k**3 - 3*k**2 + 4*k - 5. Let x be j(-6). Let n = -54 + x. Suppose -5*u - 5*i = -n, 4*u - i - 24 = 1. What is the units digit of u? 6 Suppose -3*w - 13 = 5*g, -w + 5*w - 5*g = 6. Let n(u) = 16*u - 1. Let h be n(w). Let x = h - -30. What is the tens digit of x? 1 Suppose -4*v + 57 + 15 = 0. Suppose 4*r + v = -5*i, 5*i + 0*i + 2*r = -24. What is the units digit of ((-8)/6)/(1/i)? 8 Suppose 0 = -d + 15 + 21. What is the units digit of d? 6 Let l(f) = -3*f**3 - f**2 - f - 1. Let y be l(-2). Suppose -3*b - z + y = 2*z, -z = 5*b - 15. What is the units digit of b? 2 Let q(h) = 2*h + 6. Let x be q(-6). Let t = 1 - x. What is the units digit of t? 7 Let l(s) = s**3 - 4*s**2 + 2*s - 5. Let v be l(4). Let p(c) = -4 + v*c + 2*c - 3*c. What is the units digit of p(5)? 6 Let l(c) = -c**3 - 4*c**2 + 3*c - 6. Let i be l(-5). Suppose 4*t + i = 3*t, 0 = a + 3*t - 13. What is the units digit of a? 5 Let u be (-1 + 6/4)*4. Suppose 5*b = -2 - 8, u*i - 5*b = 10. Suppose i = g - 4*a - 8, -5*g + a = -3*a - 40. What is the units digit of g? 8 Suppose 0 = 3*n - 2*o - 5, 4*o - 5 = 3. Suppose -3*f - n = -0*f. Let t = f - -5. What is the units digit of t? 4 Suppose 2*f = -4*j + 12, -2*f = -j - 5 - 2. Let d = f + -5. What is the tens digit of 1*d*(1 - 11)? 1 Suppose -3*g + 5*s + 26 = 0, 2*g = -g - 3*s + 18. What is the units digit of g? 7 Suppose 2*v + 3*v - 3*j - 222 = 0, 5*j = -4*v + 148. What is the units digit of v? 2 Let p(j) = j + 19. Let a be p(-11). Suppose -98 + a = -2*u. What is the units digit of u? 5 Suppose 0*l - 2*l = -3*x - 22, 3*x + 12 = 0. Let i = l + 6. What is the tens digit of i? 1 Let q = 24 - -45. What is the units digit of q? 9 Let g be (3 + (-4 - 0))*1. Let a(p) = 21*p**2 + p + 1. What is the tens digit of a(g)? 2 Let y(z) = z**2 - 2*z + 6. Let l be y(5). Let o = -29 + l. What is the tens digit of (13/(-4))/(2/o)? 1 Suppose 1 = 2*x + x - u, 4*x = 2*u + 2. Suppose 2*t - 5 = -5*l + 14, -t + 2 = x. What is the units digit of l? 3 Let d = 244 - 110. What is the hundreds digit of d? 1 Suppose 0 = -5*x + 2*x - 66. Let z be x/18 - (-2)/9. Let h = 7 + z. What is the units digit of h? 6 Let c = -120 + 174. What is the units digit of c? 4 What is the units digit of 2098/8 + (1 - (-45)/(-36))? 2 Let u = 7 + -14. What is the tens digit of 2/(-7) - 142/u? 2 Let i = -3 - -1. What is the units digit of (-1 - i - 0)*9? 9 Suppose 3*r = 68 + 82. Let j = r - 32. What is the tens digit of j? 1 Let y = -176 + 304. What is the units digit of y? 8 Let y = 5 + -5. Suppose 3*x + 2*x - 15 = y. Suppose -2*i + 58 = 4*g - 7*i, -x*g = -4*i - 44. What is the units digit of g? 2 Let c = 4 - 4. Let f be 2/(-7) - 5/7. Let j = c - f. What is the units digit of j? 1 Let r(p) = -16*p - 27. What is the units digit of r(-8)? 1 Suppose -4*v + 38 = -s, 0 = 4*v + 3*s - 18 - 28. What is the tens digit of (34/2)/(v - 9)? 1 Let g(r) be the first derivative of 2/3*r**3 + 3 + r - r**2. What is the units digit of g(2)? 5 Let r(o) = 28*o**3 - o**2 + 2*o - 1. What is the units digit of r(1)? 8 What is the hundreds digit of (-4)/((-8)/(-26) + (-5)/15)? 1 Let n(t) = -t**2 - 10*t + 25. What is the units digit of n(-12)? 1 Let f(y) be the second derivative of 5*y**3/6 - y**2/2 + 7*y. What is the tens digit of f(3)? 1 Suppose 0 = 2*n + 6. Let p be (n/9)/(1/(-6)). What is the units digit of 0 - 0 - p - -4? 2 Let o(i) be the first derivative of i**4/24 + 2*i**3 + 3*i**2/2 - 4. Let k(x) be the second derivative of o(x). What is the units digit of k(0)? 2 Suppose 2*y = -3*b + 90 + 583, -3*b + 1361 = 4*y. What is the units digit of y? 4 Let n be (-3)/(-1)*10/6. Suppose -n = -2*y + 1. What is the units digit of (1 - y)*(-6)/4? 3 Let d(p) = -2*p - 6. Let y be d(-4). Suppose 14 = y*g - 2. Let r = -2 + g. What is the units digit of r? 6 Suppose 3*w - 1 = -m + 9, 0 = m - 2*w - 30. What is the units digit of m? 2 Let r(o) = 12*o**2 - 17*o + 5. What is the tens digit of r(5)? 2 Let h = 7 + -15. Let o = -11 - h. Let j = o - -8. What is the units digit of j? 5 Let x = 17 - 13. Suppose -2*s = x, -3*s + 34 = 2*p - 0*s. What is the tens digit of p? 2 Let k(v) = 7 + 5*v - v**3 + 0*v + 7*v**2 + 3*v. Let h be 2/(-6) - (-50)/6. What is the units digit of k(h)? 7 Suppose 0 = q - 6. What is the units digit of q? 6 Let d(s) = -s**2 - 18*s - 7. What is the tens digit of d(-9)? 7 Let t(l) = -5*l + 8. Suppose -4*h + r + 28 = 3*r, 5*h + 3*r - 37 = 0. Let f(a) = 1. Let c(n) = h*f(n) - t(n). What is the units digit of c(2)? 7 Let x = 157 - 89. What is the units digit of x? 8 Suppose -4*t = -p - 48, 3*t = -2*p - 2*p + 17. What is the units digit of t? 1 Suppose 0*u - 3*u = 0. Suppose -r + 5*r + 52 = u. Let x = r - -24. What is the units digit of x? 1 Let o = 15 + -24. Let w be (-5)/(-3) + (-3)/o. Suppose -3*x = w*x - 45. What is the units digit of x? 9 Suppose -261 = -11*x + 2*x. What is the units digit of x? 9 Suppose 0*x + 26 = -2*x. Let j be 2/(-8) - x/4. Suppose -3*f = -3*p + j, 3*f + 0*p = -p + 5. What is the units digit of f? 1 Suppose 2 - 34 = -o. What is the units digit of o? 2 Suppose -248 = -50*m + 46*m. What is the units digit of m? 2 Let n be 3 - (8 - (-4)/(-2)). Let i = 0 - n. What is the units digit of i/5*15/3? 3 Let i = 22 + -22. Suppose -10*t + 5*t + 45 = i. What is the units digit of t? 9 Let l(d) = d**2 - 8*d + 9. Let i be l(7). What is the units digit of (-3 - i)*-1 + -1? 4 Let h(y) = y**3 - 6*y**2 + 7*y - 8. Let i be h(5). Let l be 8 - 0*(-1)/2. Suppose -4*o + l = i*n - 2*o, -4 = -4*o. What is the units digit of n? 3 What is the tens digit of (1536/(-224))/(2/(-14))? 4 Suppose 0 = -0*h - h - 9. Let c = 9 + h. Let f = c + 7. What is the units digit of f? 7 Suppose -2*w + 2*z + 16 = 0, 0 = 4*w + 2*z - 8. What is the units digit of ((-2)/w)/((-4)/144)? 8 Let b(w) = 2*w - 9. Let j be b(7). Suppose s + 1 = j. Suppose -h - 25 = -2*p, p + 54 = 4*p + s*h. What is the units digit of p? 4 Suppose h - 74 = -h + 4*d, 0 = 3*h - d - 101. Suppose -27 - h = -5*m. What is the tens digit of m? 1 Let d(b) = b**3 - 4*b**2 - 2*b + 2. Let g be d(4). Suppose 2*r - 952 = -4*h, h = -4*r + 98 + 154. What is the tens digit of h/12 - (-4)/g? 1 Let z(j) = 16 + 4 + 5*j - 4*j + 18. What is the tens digit of z(0)? 3 Let r(g) = g**2 - g + 1. Let w be r(2). Suppose 0 = -w*p + n + 31, -5*p = -n - n - 51. What is the units digit of p? 1 Let a be (2 - 1)*(0 + -4). Let x = a - 17. Let c = 34 + x. What is the tens digit of c? 1 Suppose 0 = 2*s + 2 + 2. Let z(q) = 2*q**2 + 3*q. Let t be z(s). Suppose -2*k - 4 = t*u, 0*u = u + 5*k + 14. What is the units digit of u? 1 Let p(n) = 4*n**2 - 2*n - 2. What is the units digit of p(-1)? 4 Let g = 12 + -5. What is the units digit of g? 7 Let u(r) = -48*r. What is the units digit of u(-1)? 8 Let q be (-1 - -2) + 27 + -17. What is the units digit of (-3)/(-9)*9*q? 3 Suppose -5*j = -3*l - 126, 2*l + 134 - 5 = 5*j. What is the tens digit of j? 2 Suppose 0 = -5*c + 28 + 317. What is the tens digit of c? 6 Let g(v) = 3*v**2 + 13*v + 2. What is the units digit of g(-8)? 0 Let l(i) = i**3 - 6*i**2 - 8*i + 6. Let n be l(7). Let d be n/(-5) - (-87)/15. What is the units digit of (-6)/(-4)*28/d? 7 Let p(i) = -i**2 + 2*i + 4. Let r be p(4). Suppose 9 = 3*y - 9. Let n = r + y. What is the units digit of n? 2 Let u(p) = -3*p**3 + 3*p**2 - 2. Let d be u(2). What is the tens digit of 33/2*d/(-21)? 1 Let d(z) = -z**2 - 5*z - 4. Let b be d(-4). Suppose -o = -b*o - 20. Suppose -3*a + 7*a - 3*i - 26 = 0, 2*a = 5*i + o. What is the units digit of a? 5 Let m = 1 - -2. Suppose -3 = m*c - 27. What is the units digit of c? 8 Suppose -4*p + 11 = -9. Suppose 3*c - 40 = -p*k, 5*c = -2*k - 5 + 2. What is the units digit of k? 1 Suppose 170 = 5*x + 5*w - 3*w,
{ "pile_set_name": "DM Mathematics" }
= 81 - u. Does 9 divide y? False Let f be 78/8 - 3/(-12). Does 8 divide (f/25)/(1/70)? False Suppose 10878 = 4*j - 0*h - 2*h, -2*j = h - 5433. Is j a multiple of 73? False Suppose -4*r + 2*r = 4*s + 24, -4*r = 5*s + 42. Let d be 46/4 - (-1)/2. Is r/(1 - 16/d) a multiple of 9? False Let q = -399 - -829. Is q a multiple of 55? False Suppose 506 = -4*r + 202. Let c = r + 109. Suppose -5*b + c = -122. Does 19 divide b? False Let l = -13 - -18. Suppose 3*c + b - 658 = l*b, -194 = -c - 5*b. Let p = c - 147. Does 35 divide p? False Suppose -2*z + z = 4*m - 82, -2*z + 176 = 2*m. Suppose 2*l = 7*l - z. Suppose 0 = 3*y + 3*f - 63, 3*f - l = -y + 7. Does 19 divide y? True Suppose 82 - 18 = -3*m + 4*d, 2*m - d + 41 = 0. Let x = -19 - m. Suppose -2*h + x + 125 = 0. Is h a multiple of 21? True Let f(r) = -7*r - 10. Let a be f(-2). Suppose 5*p = -4*b + 88, 4*p - 27 = -a*b + 57. Is b a multiple of 17? True Let w = -8 + 10. Let r be 9*(w/6 + 0). Suppose 0 = 4*d - r*h - 31, 3*d - 3*h + 0*h - 21 = 0. Is 5 a factor of d? True Is (-10)/(5/(-4 - 221)) a multiple of 30? True Let y(d) = d + 4 - 2 + 1. Let q be y(0). Is 3 a factor of (-3)/(-9)*q - -2? True Let y(k) = -k**2 - 14*k + 3. Suppose 4*w = 12, 2*w = i + 6 + 8. Does 17 divide y(i)? True Let k(l) = 2*l**2 - 13*l - 1. Let t(y) = y**2 + 7*y + 7. Let p = 1 - 8. Let n be t(p). Is k(n) a multiple of 2? True Let t be 2/(-4 - (-630)/156). Let u = -4 + 6. Suppose 5*h + t = -2*g + 131, -u*g + 49 = -5*h. Is g a multiple of 8? True Suppose 3*o + 175 = 13. Let i = o + 90. Suppose -4*t + 88 = i. Does 4 divide t? False Suppose -23 + 107 = -4*s. Let o = 26 + s. Is o a multiple of 5? True Suppose 12*w - 1513 - 359 = 0. Is 52 a factor of w? True Let p = -58 - -60. Suppose 3*g = 2*g - 5*d + 72, -g + p*d + 86 = 0. Does 7 divide g? False Let a(d) = 1. Let w(o) = -o - 3. Let y(v) = -a(v) + w(v). Let z be y(-6). Suppose 0 = m - 4*x, -4 = -m + z*x + 6. Is 4 a factor of m? True Let c be (-23370)/14 + (-4)/(-14). Let f = -1169 - c. Suppose 0 = 6*n - 178 - f. Is n a multiple of 31? False Suppose -8*h = -3*h - 35. Suppose h - 4 = q. Suppose -q*p = -0*p - 186. Is 10 a factor of p? False Let k(s) = -s**2 + 9*s - 8. Let p(x) = x**3 - x**2 + 2*x - 3. Let a be p(2). Let z be k(a). Suppose -2*n + 96 = z. Is 14 a factor of n? True Suppose -4*w - 41 = -5*f - 0*w, w = 5*f - 29. Suppose -c = -f*c + 112. Suppose -k - k = -c. Is k a multiple of 9? False Does 3 divide (-8671)/(-115) + (-2)/5? True Let c(y) = 5*y**3 + 2*y**2 + y + 3185. Does 91 divide c(0)? True Let n = 86 + -80. Suppose 2*w - 120 = 4*h, n*h - 152 = -2*w + 2*h. Does 17 divide w? True Let t(p) = 9*p - 27. Suppose -12 + 6 = -l. Does 12 divide t(l)? False Let p = 3 + -3. Suppose p = -3*y - 12, n - 2*y - 22 = 3*y. Suppose 7*v = n*v + 275. Is v a multiple of 12? False Let c = -212 - -274. Does 7 divide c? False Let c(m) = -2*m**3 + 2*m**2 - 4. Let n be c(4). Let k be n + -2*9/(-6). Let x = k - -136. Is 13 a factor of x? True Let x(u) = -14*u + 2. Let c(h) = -15*h. Let i(l) = 5*c(l) - 6*x(l). Is 4 a factor of i(4)? True Let a = -96 - -265. Let s = 22 + a. Is s a multiple of 9? False Suppose -4*m + 224 = 3*c, -5*m + 120 = 4*c - 160. Is 4 a factor of m? True Does 3 divide 13878/324 - 2/(-12)? False Suppose 6*c + 2*g - 2052 = 0, -2*c - g + 0*g + 683 = 0. Is c a multiple of 7? True Suppose 2849 = -295*i + 302*i. Does 11 divide i? True Let a be (1/1)/(-1)*-1. Is ((-5)/2)/(a/(-6)) a multiple of 4? False Suppose 11*f - 15*f = -1572. Is 2 a factor of f? False Let k(t) = -t**2 + 12*t - 3. Let q be k(3). Suppose -19*b = -q*b + 150. Is 5 a factor of b? True Let j = 2 + 2. Let o(t) = 2*t - 2. Let h be o(j). Is ((-3)/h)/(2/(-72)) a multiple of 9? True Suppose -5*i - 3*l = -339, -3*i - 2*l = -2*i - 65. Let u = 195 - i. Is 41 a factor of u? False Suppose 5*v + 3 + 50 = 2*k, 76 = 3*k - 4*v. Is k/(4*4/24) a multiple of 36? True Suppose -5*x + 797 + 523 = 0. Does 13 divide x? False Suppose -5*m = -3*c - 0*c + 40, 4*c + 20 = 0. Let g = -2 - m. Is g - (-3)/12*-4 a multiple of 2? True Let c be 18/(-8)*(5 + -9). Suppose 15 = 4*z - c. Does 3 divide z? True Let l(o) = 37*o**2 + o - 3. Let k(f) = -2*f + 2. Let q be k(2). Is l(q) a multiple of 38? False Suppose 0 = -0*o - 4*o + 12. Suppose m + o + 0 = 4*g, 4*m = -2*g + 6. Suppose 9 - g = i. Does 8 divide i? True Suppose -p + 0*x = -4*x + 5, -20 = -p - x. Let b(m) = -m**3 + 14*m**2 + 24*m - 35. Is b(p) a multiple of 25? True Suppose 30 = -2*r - 5*m + 6*m, 0 = -4*r + 3*m - 60. Does 3 divide (6/2)/(r/(-85))? False Let h be (1 + 0)/((24/45)/8). Does 11 divide (-4)/10 - (-2061)/h? False Is 52 a factor of ((-169)/4)/(1188/240 + -5)? False Let d(z) be the second derivative of -z**3/3 - 15*z**2/2 - z. Let k be d(-10). Suppose l - 5*p = 27, 0 = -2*l - 0*p - k*p + 9. Is l a multiple of 3? True Suppose 5*n = -3*w + 3188, -3*n - w + 2513 = 597. Is 20 a factor of n? True Suppose -5*s - 3*h = -884, -4*h = -2*s + 252 + 112. Suppose -6*o + 2 = -s. Does 17 divide o? False Let g(h) = h**2 + 9*h + 8. Let x be g(-6). Let a(y) = 4*y**2 + 50*y - 14. Let f be a(-13). Is (-24)/x + f/20 even? False Suppose 0 = -6*m - 2*m + 32. Suppose 105 = m*v - j, 0 = -6*v + 3*v + 4*j + 95. Is v a multiple of 4? False Let i(f) = f + 12. Let o(s) = s**2 + 4*s. Let w = -9 + 4. Let b be o(w). Is i(b) a multiple of 17? True Let i = 53 + 58. Let z = -50 + i. Is z a multiple of 16? False Suppose -4*b - 8*t = -12*t - 6696, 0 = -4*b - 2*t + 6684. Does 76 divide b? True Let f = -351 - -231. Is 31 a factor of f*((-36)/10 + (-3 - -5))? False Let n = -2164 - -4091. Does 41 divide n? True Let j(o) = 1 - o + 1 + 4. Is 4 a factor of j(0)? False Let c = -82 + 310. Suppose -8*u - c = -12*u. Suppose 30 = 3*v - u. Does 29 divide v? True Suppose 3*l - s = 4799, 0 = -2*s + 7 - 5. Is l a multiple of 50? True Let z be -3 - 1*(3 - 92) - 2. Let w = z + -71. Is w a multiple of 2? False Suppose 2*g + 2 = 10. Let j(z) = -z**3 + 6*z**2 - 2*z + 12. Let f be j(6). Suppose -3*a + g + 140 = f. Is 17 a factor of a? False Is 56/98 - (-52)/7 a multiple of 8? True Let k be 5*(342/15 - -2). Suppose -185 + k = -n. Is n a multiple of 22? False Suppose 0 = -17*h + 786 + 2614. Is 10 a factor of h? True Let m(k) = 4*k**2 + k + 6. Let c be (-30)/4*4/(-5). Let h be m(c). Suppose -p = p - h. Does 13 divide p? True Let k be (-1690)/(-546) + (-4)/42. Suppose 0*u = -2*u + 40. Is 8 a factor of u + k/(-3) + -3? True Suppose 0 = -13*q + 302 + 1297. Suppose 29*h - 26*h - q = 0. Is 26 a factor of h? False Let z = -153 - -345. Does 21 divide z? False Let h(a) = -a**2 + 8*a - 10. Let z be h(7). Is 27 a factor of (-1)/(z/147)*(-15 + 16)? False Suppose r + 20 = 6*r. Suppose -3*o + 3 = -2*s + 1, -3*s + 31 = r*o. Suppose -o*c - 52 = -152. Is c a multiple of 5? True Let h(w) = 54*w**2 - 2*w + 1. Let i be h(1). Suppose -5*v + 95 - 436 = -3*z, -z + 3*v + 107 = 0. Let b = z - i. Is b a multiple of 21? False Suppose -c + 205 = 4*c. Is 8 a factor of (19 - 16) + (c - 0)? False Does 83 divide 6/(458/(-1220) + (-8)/(-20))? False Let b be 59/4 + (-6)/8. Suppose -k - 4*f + b = -2*f, 2*k - 2*f - 22 = 0. Is k a multiple of 12? True Let s = -117 + 84. Let g = 36 + s. Is 3 a factor of g? True Suppose 12*q - 4*i = 7*q + 6042, 3*q + i = 3615. Is q a multiple of 18? True Let o(t) = -54*t + 2. Let h be o(-2). Suppose -4*a + h + 50 = 0. Let f = a - 20. Is f a multiple of 10? True Let f(b) = -62*b + 36. Let z be f(-9). Suppose -z = -20*g + 14*g. Is g a multiple of 33? True Let u = 43 + -67. Is (-2)/16 - 939/u a multiple of 13? True Let l be -3 - -1 - (-2 - 2). Let n be 1 + l + (-14)/(-7). Suppose 0 = 2*x + n*p - 92, 5*p = 16 + 4. Does 13 divide x? False Is 74 a factor of ((-788)/7)/(10/(-175))? False Let x(r) = -31*r**2 + 1. Let w be x(-1). Let j = w - -33. Does 3 divide j? True Let k(o) = -27*o - 216. Is k(-52) a multiple of 66? True Let h(b) = -b**2 - 64*b - 11. Is h(-13) a multiple of 4? True Let z(x) = 11*x**2 - 7*x - 11. Let w = -83 - -81. Does 5 divide z(w)? False Let b(f) = -f + 11. Let v be b(8). Suppose -3*t + v = -t - 5*j, 0 = -t - j + 5. Suppose 1 + 0 = -h, -4*h - 40 = -t*s. Is s a multiple of 3? True Let i(s) = -1. Let u(n) = -13*n**2 + 6*n + 37. Let y(b) = 7*b**2 - 3*b - 19. Let o(k) = -6*u(k) - 11*y(k). Let a(x) = -5*i(x) + o(x). Does 13 divide a(-6)? False Let o =
{ "pile_set_name": "DM Mathematics" }
t common factor of 497 and 170968. 497 What is the highest common divisor of 393 and 6943? 131 Calculate the highest common divisor of 181 and 240187. 181 Calculate the highest common divisor of 272 and 3536. 272 Calculate the greatest common divisor of 7798 and 3633. 7 Calculate the highest common factor of 458188 and 8. 4 What is the highest common divisor of 1218 and 5162? 58 What is the highest common divisor of 5780 and 27540? 340 Calculate the highest common factor of 2170 and 554590. 310 Calculate the greatest common factor of 1683 and 20988. 99 What is the greatest common factor of 1710 and 4655? 95 Calculate the highest common divisor of 92 and 337387. 23 What is the highest common factor of 154 and 17831? 11 What is the highest common factor of 100900 and 20? 20 What is the greatest common divisor of 90 and 304860? 30 Calculate the highest common divisor of 161798 and 196. 98 What is the greatest common factor of 114426 and 5379? 489 Calculate the highest common factor of 359782 and 826. 118 Calculate the highest common divisor of 153 and 29016. 9 What is the highest common factor of 212080 and 330? 110 What is the greatest common factor of 55878 and 12? 6 What is the greatest common divisor of 175 and 42? 7 What is the highest common divisor of 2272 and 1600? 32 Calculate the highest common divisor of 253545 and 90. 15 What is the highest common divisor of 77 and 14? 7 What is the greatest common divisor of 194645 and 275? 55 Calculate the greatest common divisor of 754657 and 3227. 461 What is the highest common divisor of 17297 and 343? 49 What is the highest common divisor of 1340 and 6399170? 670 Calculate the greatest common divisor of 14 and 761278. 14 Calculate the highest common divisor of 24555 and 1155. 15 What is the greatest common factor of 28942776 and 684? 684 What is the highest common factor of 138 and 22126? 46 Calculate the highest common divisor of 1768 and 86008. 104 What is the greatest common divisor of 9 and 6420681? 9 Calculate the highest common divisor of 904 and 58195. 113 Calculate the highest common factor of 1750 and 400. 50 What is the greatest common factor of 875 and 9590? 35 What is the highest common divisor of 176 and 108020? 44 What is the highest common divisor of 1183585 and 260? 65 What is the highest common divisor of 145431 and 286? 143 Calculate the greatest common factor of 1504974 and 6. 6 What is the greatest common divisor of 652325 and 7263? 269 What is the greatest common factor of 16752 and 120? 24 Calculate the greatest common factor of 11668 and 16. 4 Calculate the greatest common factor of 662284 and 1666. 98 What is the highest common factor of 84 and 6144? 12 What is the greatest common divisor of 841 and 101761? 841 Calculate the greatest common factor of 137 and 7397041. 137 Calculate the highest common factor of 156 and 20072. 52 Calculate the highest common factor of 46166 and 943. 41 Calculate the highest common divisor of 516 and 5345115. 129 What is the highest common divisor of 331995 and 285? 15 Calculate the highest common divisor of 8464 and 512. 16 What is the highest common factor of 1159196 and 34? 34 What is the highest common divisor of 2658 and 1572? 6 What is the greatest common divisor of 651 and 8649? 93 What is the greatest common divisor of 8 and 1714? 2 Calculate the greatest common divisor of 138951 and 117. 9 Calculate the greatest common factor of 1608 and 57486. 402 Calculate the greatest common factor of 1024 and 1267456. 256 What is the highest common factor of 2686 and 172062? 158 What is the greatest common divisor of 56 and 146912? 8 Calculate the highest common divisor of 4154 and 67. 67 What is the greatest common divisor of 1387503 and 469? 67 What is the highest common factor of 11609 and 741? 247 Calculate the highest common divisor of 5 and 6500045. 5 Calculate the greatest common factor of 23705 and 495. 55 What is the greatest common factor of 9447 and 1072? 67 Calculate the greatest common factor of 6050 and 175. 25 Calculate the highest common divisor of 6319 and 5429. 89 Calculate the highest common factor of 762 and 132334. 254 What is the highest common divisor of 1080 and 76410? 270 Calculate the highest common divisor of 95232 and 930. 186 What is the highest common factor of 20 and 101740? 20 Calculate the highest common divisor of 88102 and 13237. 217 What is the greatest common divisor of 1956 and 36? 12 What is the greatest common divisor of 120 and 191535? 15 Calculate the highest common factor of 1152 and 7272. 72 Calculate the highest common factor of 36800 and 23200. 800 What is the greatest common factor of 6 and 7922? 2 Calculate the highest common divisor of 110004 and 25132. 412 Calculate the highest common divisor of 7999296 and 1464. 1464 Calculate the greatest common divisor of 81873 and 6. 3 What is the greatest common divisor of 9918 and 1710? 342 Calculate the greatest common factor of 24491 and 323. 19 Calculate the greatest common divisor of 7303 and 1072. 67 Calculate the highest common factor of 4722 and 942. 6 Calculate the greatest common divisor of 4968 and 15318. 414 Calculate the highest common divisor of 41703 and 198. 3 What is the highest common factor of 40187 and 679? 7 Calculate the highest common divisor of 12865680 and 835. 835 Calculate the greatest common divisor of 300 and 3794100. 300 Calculate the highest common divisor of 9477 and 234. 117 What is the highest common divisor of 572 and 24167? 143 What is the greatest common factor of 7165 and 45? 5 What is the highest common factor of 353834 and 248? 62 Calculate the greatest common factor of 13536 and 2336. 32 Calculate the greatest common divisor of 38773 and 1624. 203 Calculate the greatest common divisor of 8 and 30339416. 8 Calculate the greatest common factor of 5 and 47570. 5 What is the greatest common divisor of 13222 and 550? 22 Calculate the greatest common divisor of 11 and 2794209. 11 Calculate the greatest common divisor of 100 and 32975. 25 What is the highest common factor of 6652 and 1032? 4 Calculate the greatest common factor of 1159 and 37639. 19 Calculate the greatest common factor of 650 and 25285. 65 What is the highest common divisor of 127829 and 13? 13 What is the highest common factor of 165698 and 26? 26 Calculate the highest common factor of 2904 and 46101. 363 What is the highest common factor of 165 and 37191? 33 What is the greatest common divisor of 19335 and 15? 15 What is the highest common factor of 582950 and 1834? 262 What is the greatest common divisor of 9175104 and 36? 36 Calculate the highest common divisor of 1028 and 1310957. 257 What is the greatest common divisor of 283428 and 36? 36 What is the highest common factor of 540 and 82674? 54 What is the highest common divisor of 92 and 1178? 2 What is the greatest common divisor of 132001 and 2? 1 Calculate the greatest common divisor of 84905 and 10. 5 Calculate the highest common factor of 2107 and 9847. 43 Calculate the highest common factor of 28 and 6433. 7 What is the highest common divisor of 11350472 and 314? 314 Calculate the highest common divisor of 90 and 23805. 45 Calculate the greatest common factor of 92 and 158412. 4 What is the greatest common divisor of 347279 and 269? 269 What is the greatest common divisor of 638014 and 104? 26 Calculate the highest common factor of 1334 and 33785. 29 What is the greatest common divisor of 150 and 272950? 50 What is the highest common divisor of 25697 and 7? 7 Calculate the highest common divisor of 1451 and 3245887. 1451 What is the highest common divisor of 942 and 463935? 471 Calculate the highest common divisor of 50 and 178850. 50 Calculate the highest common divisor of 17044 and 4. 4 Calculate the greatest common factor of 47177 and 13585. 247 What is the highest common divisor of 5230 and 217568? 1046 What is the highest common factor of 1292 and 88901? 19 Calculate the greatest common factor of 4634 and 2722475. 2317 Calculate the greatest common divisor of 1201 and 5591856. 1201 Calculate the greatest common divisor of 36999 and 279. 9 What is the greatest common factor of 230166 and 342? 342 Calculate the greatest common divisor of 12924 and 6012. 36 Calculate the greatest common div
{ "pile_set_name": "DM Mathematics" }
Let n(a) = 5*a. Let w(j) = -5*n(j) - 2*r(j). Let x(y) be the first derivative of 77 + 0*y - 2/3*y**3 + 0*y**2. Give x(w(t)). -18*t**2 Let f(i) = i**2. Let b(h) be the third derivative of -h**5/10 - 2*h**3/3 - 1046*h**2. Give b(f(q)). -6*q**4 - 4 Let w(g) = g. Let v(x) = -366*x + 15. Let b(k) = -182*k + 6. Let a(q) = 78*q + 314. Let n be a(-4). Let y(u) = n*v(u) - 5*b(u). Determine w(y(i)). 178*i Let m(u) = -97289229*u. Let i(q) = -2*q. Calculate m(i(d)). 194578458*d Let y(p) = -47*p + 13*p + 13*p + 17*p. Let t(v) = v + 8. Let a be t(-4). Let g(j) = -8*j - a*j + 8*j. Calculate g(y(o)). 16*o Let k(l) be the second derivative of -101*l**3/2 + 429*l. Let b(a) = 6*a**2. Give b(k(v)). 550854*v**2 Let n(j) be the first derivative of 0*j + 3/2*j**2 + 9. Let p(b) = b**2 + 730 - 730. What is p(n(t))? 9*t**2 Let l(m) be the second derivative of m**4/6 - 41*m - 3. Let d(t) = 2*t + 8*t + 9*t. Determine l(d(q)). 722*q**2 Let y(o) = -4*o + 7. Suppose -62*z + 9396 = -958. Let w(s) = 78*s - z*s + 90*s. Give y(w(p)). -4*p + 7 Let d(s) = 10517284*s**2. Let k(w) = 3*w**2. Calculate d(k(l)). 94655556*l**4 Let z(c) = -84364*c. Let n(k) = 2*k**2 + 33*k. What is z(n(l))? -168728*l**2 - 2784012*l Let q(s) = s. Let l(c) = 67273*c**2 - c - 8. Give q(l(z)). 67273*z**2 - z - 8 Let g(u) be the first derivative of -u**2/2 + 137. Let a(v) = -v + 4. Let k(i) = -730*i + 2336. Let f(b) = 584*a(b) - k(b). Give f(g(r)). -146*r Let l(q) = 83*q. Let b(p) = -3768729 + 3768729 + 3*p - p**2 - 3*p. Calculate b(l(u)). -6889*u**2 Let a(y) = 21*y + 27. Let w(c) = -3*c - 4. Let q = 260 - 256. Let i(p) = q*a(p) + 27*w(p). Let l(d) = -29*d. Give l(i(x)). -87*x Let f(z) be the third derivative of -z**5/10 + 1391*z**2. Let y(w) be the first derivative of 7*w**2/2 + 1. What is f(y(o))? -294*o**2 Let c(x) = -2893*x. Let y(t) = 10*t**2 + 8*t. Let i(s) = -4*s**2 - 3*s. Let g(m) = 8*i(m) + 3*y(m). What is g(c(u))? -16738898*u**2 Let f(k) = -9196*k. Let x(q) = -2*q**2 - 1259. What is f(x(s))? 18392*s**2 + 11577764 Let g(t) = -4*t + 21. Let z(k) = k - 6. Let j(q) = -2*g(q) - 7*z(q). Let v(l) = 27*l + 7. Give j(v(s)). 27*s + 7 Let g(q) = q + 15. Let j(c) = -15*c + 56*c + 3 - 13*c - 13*c - 14*c. Calculate g(j(z)). z + 18 Let s(d) = 2*d. Let n(t) = 641786219*t**2. What is s(n(i))? 1283572438*i**2 Let o(g) = 76*g**2. Let v(i) = -27*i**2 - 31*i**2 + 158*i**2 - 39*i**2 - 20*i**2. What is v(o(d))? 236816*d**4 Let d(t) = 3*t**2 + 105. Let h(j) = 254*j**2 - 1. Give d(h(r)). 193548*r**4 - 1524*r**2 + 108 Let r(u) = 97*u + 173*u - 3*u + 103*u + 34*u. Let i(p) = 5*p**2. Give i(r(c)). 816080*c**2 Let v(z) = -1334*z. Let y(j) be the second derivative of j**4/2 + 9212*j. Calculate v(y(s)). -8004*s**2 Let d(h) = 18*h**2 - 32*h**2 + 2*h**2. Let x(q) = q**2 + 3*q - 15. Let o(c) = 3*c**2 + 10*c - 50. Let y(a) = 3*o(a) - 10*x(a). Calculate d(y(m)). -12*m**4 Let g(h) be the second derivative of -2*h + 1/4*h**4 + 0*h**2 + 0*h**3 + 57. Let j(d) be the third derivative of 7*d**4/12 - d**2. What is j(g(z))? 42*z**2 Let m(l) = -6*l. Let g(a) be the second derivative of -a**6/360 - a**4 + 10*a - 4. Let r(d) be the third derivative of g(d). Determine r(m(x)). 12*x Let k(b) = 2*b**3 - 7*b**2 + b + 19. Let p be k(5). Let y(f) = 53*f - p*f + 53*f. Let m(g) = -g - 5 + 5. Determine y(m(s)). -7*s Let q(w) = -3673*w. Let x(n) = -196581*n. Calculate x(q(s)). 722042013*s Let x(f) = 846883*f. Let y(w) = 7*w**2 - 5*w. Determine x(y(h)). 5928181*h**2 - 4234415*h Let g(i) = 22*i**2. Let n(l) = 687*l + 25. What is n(g(a))? 15114*a**2 + 25 Let a(t) be the third derivative of t**4/24 + 83*t**3/3 - 670*t**2. Let g(o) = 4*o**2. What is g(a(k))? 4*k**2 + 1328*k + 110224 Let k(a) be the second derivative of -233*a**3/6 - 3*a**2 + 3130*a. Let d(r) = r. What is k(d(f))? -233*f - 6 Let v(f) = 4*f. Suppose 2*k - 3 = 3. Suppose k*s + s - 12 = 0. Let x(u) = -u - s*u + 4*u - 5*u. Calculate x(v(n)). -20*n Let f(q) = 2*q. Let g(m) = -86044453*m**2 + 6. Calculate g(f(b)). -344177812*b**2 + 6 Let q(i) = -16*i. Let t(p) = -6588*p + 1. Give q(t(o)). 105408*o - 16 Let d(i) = -3*i - 19. Let c(o) = 6*o + 37. Let r(u) = 3*c(u) + 7*d(u). Let y be r(-8). Let n(l) = -15*l**2 + l**2 - 3*l**y. Let p(q) = -q. What is n(p(w))? -17*w**2 Suppose -2*g = -3*q, 0 = -5*g + 2 + 13. Let v(i) = -56 + 39*i**2 + 56 + 9*i**q. Let c(r) = -3*r**2. What is v(c(u))? 432*u**4 Let g(l) be the third derivative of -2*l**2 + 0 + 3*l + 0*l**3 + 5/8*l**4. Let o(s) = s**2. Determine g(o(r)). 15*r**2 Let l(n) = 434*n + 429*n + 435*n - 99 - 1296*n. Let m(c) = 0*c + 0*c + 0*c + c**2. Give l(m(r)). 2*r**2 - 99 Let k(x) = 23*x - 244. Let r(m) = 20*m - 247. Let d(c) = 3*k(c) - 4*r(c). Let t(y) = -2*y**2. Give t(d(v)). -242*v**2 + 11264*v - 131072 Let i(z) = 48*z. Let n(m) = 6*m - 4. Let p(w) = -58 - 7*w + 37 + 27. Let h(t) = 3*n(t) + 2*p(t). Give i(h(k)). 192*k Suppose v = -6*v + 700. Let g(d) = 200*d - 102*d - 38 - v*d. Let y(a) = -a. Calculate g(y(m)). 2*m - 38 Suppose -180 = -129*a + 117*a. Let t(w) = 8*w - a + 15 + 6*w. Let p(k) = k. Give p(t(d)). 14*d Suppose 0 = -41*a + 684 - 274. Let m(k) be the second derivative of -1/6*k**4 + 0*k**3 + 0 + 0*k**2 - a*k. Let v(p) = 15*p**2. Calculate v(m(i)). 60*i**4 Let h(m) = 334*m. Let t(p) = -12*p - 8. Let s(l) = 4*l + 3. Let r(b) = 8*s(b) + 3*t(b). Give r(h(i)). -1336*i Let g(d) = -2*d**2. Let x(i) = -15*i + 69. Let h(z) = 13*z - 71. Suppose -5*c - 10 = -3*y + 8*y, 3*c - 24 = 2*y. Let n(k) = y*x(k) - 7*h(k). What is g(n(a))? -2*a**2 + 332*a - 13778 Let l(j) be the third derivative of j**4/6 + j**2. Suppose -4*z - 14 = o - 0*z, o - z = 6. Let f(w) = -4*w**o - 378*w + 191*w + 187*w. Calculate l(f(i)). -16*i**2 Let x(o) = 67*o**2 + 57 - 30*o**2 - 38*o**2 - 57. Let c(j) = j + 190. Determine c(x(z)). -z**2 + 190 Let s(f) = -119*f**2. Let b(z) = -2*z - 30772. Determine b(s(w)). 238*w**2 - 30772 Let s(y) = -1104*y + 2. Let n(m) = -69*m - 9. Give s(n(d)). 76176*d + 9938 Let l(z) = -3*z**2. Let t be (-27)/(-15) + 10/50. Let m be -2 + 7 - 0/1. Let k(h) = -m*h**t + 4*h**2 - 1567 + 1567. What is l(k(v))? -3*v**4 Let q(c) = -2*c - 26000. Let a(m) = 73*m. Determine q(a(k)). -146*k - 26000 Let y(q) = 8*q**2 - 8. Let x(v) = 5*v**2 + 43. What is y(x(t))? 200*t**4 + 3440*t**2 + 14784 Let r(j) = 187*j - 638*j + 163*j + 178*j + 193*j. Let i(s) = -3*s + 0 + 0. What is i(r(k))? -249*k Let z(p) = 55*p. Let h(j) = 64*j**2 - 28*j - 128. Let i(m) = -7*m**2 + 3*m + 14. Let a(d) = -3*h(d) - 28*i(d). Calculate z(a(t)). 220*t**2 - 440 Let r(x) = 266908*x. Let z(d) = -14*d**2 - 1. Determine z(r(b)). -997358326496*b**2 - 1 Let j(c) = 4*c. Let n(r) be the second derivative of 31*r**3/6 + r**2 - 1535*r. What is n(j(z))? 124*z + 2 Let s(r) be the second derivative of r**3/6 - r**2/2 + 13*r. Let k(a) be the third derivative of -1/24*a**4 - a - 75*a**2 + 0 + 0*a**3. Calculate k(s(v)). -v + 1 Let z(y) = 2*y**2. Let j(x) be the second derivative of -x**4/12 - 4*x**3/3 - x**2/2 + 8*x. Let g be j(-5). Let v(i) = -g + 7 + 13*i + 7. What is z(v(c))? 338*c**2 Let x(d) = -1404*d. Let m(u) = 8016*u. What is x(m(t))? -11254464*t Let w(o) = -37*o. Let p(y) = -4330032*y - 10*y**2 + 4330032*y. Calculate w(p(l)). 370*l**2 Let h(z) = 4*z**2. Let q be (1 - -4)/10*-4. Let v(o) = -5*o**2. Let i(t) = q*v(t) - 3*h(t). Let s(x) be the first derivative of -67*x**3/3 - 142. Give s(i(k)). -268*k**4 Let j(s) = 14*s - 168. Let d(f) = 9*f - 105. Let o(v) = 8*d(v) - 5*j(v). Let r(q) = q**2 + 15456*q. Calculate o(r(t)). 2*t**2 + 30912*t Let o(h) be the third derivative of h**6/360 - h**4/12 + 17*h**3/6 + 2*h**2 + 5. Let f(j) be the second derivative of o(j). Let y(r) = 30*r. Calculate f(y(t)). 60*t Let o(c) = 124*c**2 - 42*c + 4. Let f(u) = -25*u**2 + 9*u - 1. Let b(m) = 14*f(m) + 3*o(m). Let n(x) be the second derivative of -x**4/6 - x. Determine n(b(k)). -968*k**4 + 176*k**2 - 8 Let b(q) = -11*q**2 + 2*q**2 - q**2. Let v(y) = -157*y**2 + 5*y - 30. Let u(x) = 440*x**2 - 14*x + 84. Let k(a) = 5*u(a) + 14*v(a). Determine b(k(p)). -40*p**4 Let b(f) be the second derivative of -208*f + 0*f**2 + 0 + 1/3*f**3. Let m(l) = l**2 + 8*l. Calculate m(b(u)). 4*u**2 + 16*u Let u(r) = -r**2. Suppose 4*m - 7*b + 4*b = 38, -30 = -5*m - 5*b. Let w(f) = 7 - m - 73*f + 1. What is u(w(q))? -5329*q**2 Let h(u) = -u. Let x(s) = -655*s +
{ "pile_set_name": "DM Mathematics" }
ed by -303381 -684 142943298 divided by -3 -47647766 -13037 divided by -245 13037/245 Calculate -892931230 divided by 5. -178586246 What is -7218822 divided by 189969? -38 Divide -108781308 by -171. 636148 Calculate -356264472 divided by -3. 118754824 Calculate -348 divided by -136728. 29/11394 -37216566 divided by 18608283 -2 5 divided by -22666478 -5/22666478 -19871594 divided by 12 -9935797/6 3596400 divided by 1800 1998 Divide -1399348608 by 32249. -43392 Calculate 120524 divided by 163. 120524/163 What is -16993588 divided by 5? -16993588/5 -188874 divided by -136 94437/68 Calculate -719410380 divided by -35970519. 20 What is -753115 divided by -11? 68465 Divide -75 by -816127. 75/816127 Divide 0 by -60323. 0 Calculate -93743160 divided by 2678376. -35 What is -11293695 divided by 333? -33915 Divide 2068 by 12387. 2068/12387 -355821690 divided by 662 -537495 What is -5504664 divided by -2? 2752332 What is -60117 divided by 40? -60117/40 -253 divided by -2736 253/2736 Calculate 96469890 divided by 15. 6431326 20747500 divided by 4 5186875 Divide 1102 by 51320. 551/25660 Divide -2099352310 by -5. 419870462 What is -45872 divided by 1592? -5734/199 Calculate -275656530 divided by 3. -91885510 -153179109 divided by 3 -51059703 Calculate -1212365 divided by -1645. 737 What is 517355647 divided by 1? 517355647 Divide 0 by -71252. 0 Divide 38671620 by -59956. -645 What is -5963433 divided by -4? 5963433/4 Divide -64008634 by -30803. 2078 148 divided by 23743 148/23743 Divide 32882 by 561. 32882/561 -26 divided by -16037971 26/16037971 34115120 divided by -3 -34115120/3 What is 26764350 divided by 535287? 50 Calculate 5 divided by 1528449. 5/1528449 Calculate -11798596 divided by -436. 27061 Calculate -6372 divided by -101818. 3186/50909 Calculate -5400 divided by 4404. -450/367 10063746 divided by 99 101654 Divide 266400 by 740. 360 Calculate -966946 divided by -2. 483473 What is 4100870 divided by -5? -820174 What is 7 divided by 115521? 1/16503 What is -1997764 divided by 499441? -4 -24794133 divided by 8264711 -3 Calculate -5651 divided by -165. 5651/165 Calculate 440800618 divided by -1. -440800618 -7909841 divided by -1 7909841 Divide -218917663 by -2. 218917663/2 Calculate 9110736 divided by 4. 2277684 8970129 divided by -2990043 -3 What is 5750 divided by -11252? -2875/5626 Divide -3817376 by -32. 119293 What is -115196151 divided by -1622481? 71 Calculate -61983 divided by 1. -61983 Calculate -51436 divided by 125. -51436/125 Calculate -4255960 divided by -515. 8264 What is -17318170 divided by -3463634? 5 Divide 69155480 by 3457774. 20 What is 577271 divided by -754? -577271/754 14701117 divided by -639179 -23 What is -381842895 divided by -1? 381842895 What is 26499278 divided by -2038406? -13 Divide 2760 by -16009. -2760/16009 Calculate 25644126 divided by 1. 25644126 -42190165 divided by -19309 2185 760457 divided by 38 760457/38 Calculate 158907322 divided by 35798. 4439 Calculate -13779700 divided by -55. 250540 Calculate -1631 divided by -87363. 1631/87363 -139867 divided by -139867 1 Calculate -33823387 divided by 64181. -527 Calculate -11259452 divided by -2814863. 4 Calculate -102753420 divided by -1540. 66723 Calculate 6 divided by 1553159. 6/1553159 Calculate -5904010 divided by 49. -120490 Calculate 13033 divided by -253. -13033/253 Calculate -366178450 divided by -950. 385451 Calculate 5 divided by -49616223. -5/49616223 Divide 190754433 by 16167. 11799 Divide -10475 by -445. 2095/89 Calculate -1265270160 divided by -1470. 860728 -234361176 divided by 18606 -12596 Calculate -12203791 divided by -14. 12203791/14 114875483 divided by -3 -114875483/3 Calculate 67257950 divided by -5. -13451590 What is -4 divided by -17007230? 2/8503615 Calculate -210892750 divided by 1. -210892750 Divide 3258868 by -17. -3258868/17 What is -22936720 divided by 1146836? -20 Calculate 593632 divided by -547. -593632/547 -721453784 divided by 8 -90181723 Divide 59 by -2630870. -59/2630870 Calculate 0 divided by 136922544. 0 -316193787 divided by -42897 7371 What is -877116 divided by -15388? 57 What is -20492010 divided by -4098402? 5 Divide -12855553 by -1117. 11509 Divide -16859104 by -32. 526847 What is -16816 divided by -10368? 1051/648 Divide 932683520 by 8. 116585440 Divide -29502567 by 3. -9834189 3325385 divided by -95011 -35 -404416 divided by 14 -202208/7 108221720 divided by -21644344 -5 Divide 60616678 by 5. 60616678/5 Calculate 43426891 divided by -43297. -1003 20708160 divided by 117660 176 Calculate 20 divided by 23598173. 20/23598173 Divide 3482857 by 3482857. 1 Calculate 37015344 divided by 57. 649392 Calculate -4941 divided by 12824. -4941/12824 Divide -186650403 by 6. -62216801/2 What is 25 divided by -1219704? -25/1219704 Divide 107889 by -74. -107889/74 -4726860 divided by -472686 10 What is -137629265 divided by -2? 137629265/2 Divide 1414 by -11806. -707/5903 -115098688 divided by 14944 -7702 Calculate -65532 divided by 161. -65532/161 Calculate -2126 divided by -698. 1063/349 What is -4 divided by -740872? 1/185218 Calculate -115382 divided by -58. 57691/29 What is 115 divided by -72099? -115/72099 What is 183751 divided by 38? 183751/38 1968064 divided by 1337 1472 Calculate -105444508 divided by 13429. -7852 -67014810 divided by -6 11169135 Calculate -35742670 divided by -39670. 901 Calculate -3178638 divided by -1589319. 2 -1271634 divided by -32606 39 Calculate -2492015 divided by -4. 2492015/4 Divide -140289696 by 6099552. -23 10013 divided by -379 -10013/379 487 divided by -84439 -487/84439 2 divided by 2799340 1/1399670 -275260 divided by -137630 2 Divide 166188608 by 8. 20773576 What is 0 divided by 58939577? 0 What is -13000922 divided by 1111? -11702 What is 1288680 divided by -14? -644340/7 Divide -231 by -55105. 231/55105 189596705 divided by 2 189596705/2 What is -4585004 divided by -2623? 1748 Divide 5639375 by 161125. 35 -15965968 divided by -997873 16 What is -6402180 divided by -7? 6402180/7 Divide 437266044 by -25721532. -17 Calculate -1423 divided by -19350. 1423/19350 1 divided by 980430 1/980430 What is -2116750 divided by 677? -2116750/677 -16943003 divided by 209 -81067 Divide -10077600 by 38. -265200 Calculate -5294 divided by 11224. -2647/5612 42566488 divided by 7 42566488/7 What is -7625387 divided by -12859? 593 Divide -358065855 by -7. 51152265 Divide 138339894 by -143209. -966 Calculate 243218 divided by -142. -121609/71 What is 222978248 divided by 1? 222978248 Calculate -123447456 divided by 165924. -744 What is 535803900 divided by 3? 178601300 1 divided by -4101881 -1/4101881 -419970604 divided by -61 6884764 Calculate 222 divided by 33284. 111/16642 Divide -91020336 by -422. 215688 What is 23 divided by 395933? 23/395933 Divide 350396259 by 116798753. 3 Divide -568115376 by 201174. -2824 Calculate -2092 divided by 734. -1046/367 Calculate 5164065 divided by -1. -5164065 -56911404 divided by 14227851 -4 Divide 204927405 by 1. 204927405 -126641664 divided by 108 -1172608 Divide -6346337 by -7. 6346337/7 20762 divided by -7386 -10381/3693 Calculate 164 divided by 991778. 82/495889 Divide 745800400 by 46612525. 16 What is -11749686 divided by -345579? 34 What is 6112960 divided by 1222592? 5 -67549057 divided by -4 67549057/4 Calculate 244941432 divided by 61235358. 4 Calculate 3598790 divided by -5. -719758 Divide -44231550 by 6. -7371925 Calculate -19 divided by -20915. 19/20915 Divide -571764000 by -2544. 224750 What is 23453792 divided by -5863448? -4 Divide 221848285 by -5. -44369657 Calculate -6 divided by -665466. 1/110911 1263792 divided by -16 -78987 What is -84079631 divided by 6? -84079631/6 Calculate 778731 divided by 3. 259577 Calculate -70824754 divided by -595166. 119 Divide -6262200 by 74550. -84 Divide 101 by -4021526. -101/4021526 Divide -248596472 by 392108. -634 What is -109326789 divided by -934417? 117 87695 divided by -27 -87695/27 -347827 divided by -137 347827/137 Divide 86575 by 230. 17315/46 What is 156797 divided by -98? -156797/98 Calculate 5 divided by -5305589. -5/5305589 Calculate -1514762284 divided by 216394612. -7 Divide -8593840 by -4828. 1780 What is -479873 divided by -25? 479873/25 Calculate -326 divided by 190854. -163/95427 What is 2495244 divided
{ "pile_set_name": "DM Mathematics" }
2. Let v be b(8). Which is bigger: v or o? v Let k = 2014783/67 + -30073. Is 1/3 at most k? False Suppose 5*w + 33 - 48 = 0. Let d = 7 - w. Are 16/5 and d non-equal? True Let w = -1143/7 + 161. Let a = 65 + -59. Suppose -2*m = -4*l + 10, -2*m - a = 5*l - 5. Is w at least as big as m? True Let r(f) = f + 14. Let j be r(-11). Let v(z) = 6*z**3 + 2*z**2 + z - 2. Let a be v(1). Which is smaller: j or a? j Let t(p) be the third derivative of -p**5/60 + 13*p**4/12 + 113*p**3/6 + 52*p**2. Let w be t(31). Let r be (14/(-3))/(1/9). Is r != w? False Suppose -13*m = -4*m + 4*m - 7644. Which is smaller: 7 or m? 7 Let k(m) = -m**3 - 80*m**2 - 156*m - 31. Let o be k(-78). Let p(s) = s**3 + 6*s**2 + 6*s + 5. Let y be p(-4). Suppose 0 = -r - y - 19. Which is bigger: o or r? o Let y be 11/77 - (-501)/21. Suppose -83*r = -77*r - y. Which is greater: r or 8.5? 8.5 Suppose 8*c - 22*c + 252 = 0. Let i = -16 + c. Suppose -4*u - u = -5*q + 60, 4 = i*u + 5*q. Is u less than -7? True Let u = 78 + -1327/17. Suppose 5*v - 5*i + 0*i = -305, -v = -4*i + 58. Let o = 63 + v. Which is greater: u or o? o Let f = -33.446 - -9.546. Is 14 < f? False Let l = 3341 + -3346. Is 3.6 < l? False Let g = -2618 + 2619. Which is smaller: -2/6139 or g? -2/6139 Let m = -3.46 + 1.26. Let a = m - -2. Is -32 less than a? True Let k(x) = -x**2 + 14*x - 17. Let i be k(16). Let f be (4/4 + -2)*i. Let w = f + -30. Is w at most as big as 20? True Let o = 6499 - 6719. Which is smaller: -215 or o? o Let d = -7866 + 1242829/158. Let r(a) = a**2 + 6*a + 6. Let k be r(-5). Is k != d? True Suppose 69*i - 75*i + 3168 = 0. Suppose -i*s + 161 = -521*s. Let o(d) = -22*d + 1. Let c be o(-1). Is c at most s? True Let v(j) = -3*j**3 + 11*j**2 + 108*j + 20. Let a be v(-9). Is a < 2126? False Let v be (-13720)/36 - 5/(-45). Which is bigger: v or -378? -378 Let v be (-14)/(-217) + 38/(-589). Which is bigger: v or -1/3984? v Let h(r) = 132*r**3 - 3*r**2 - 3*r - 3. Let a be h(-2). Let f be ((-2)/(10/(-3)))/(1562/a). Which is smaller: f or -1? -1 Let y = -14298 + 4189321/293. Which is greater: y or -1? y Suppose 33*j = 37*j - 80. Suppose -79*g - 63 = -82*g. Which is smaller: j or g? j Let y = -5 + -10. Let a = y + 14. Let l be (3/(-276))/(0 + (-14)/16). Which is smaller: a or l? a Suppose 29022 = -1840*x + 1846*x. Is x > 4837? False Suppose 28*r + 27*r + 10 = 65. Which is bigger: r or 48/41? 48/41 Let z be (275/(-44))/25*0. Is -12/593 less than or equal to z? True Suppose 9*t - 284 + 1616 = 0. Let d = t + 128. Is -21 greater than d? False Suppose -159*q - 203 = -166*q. Suppose -q*u + 351 = 10*u. Which is greater: u or 17? 17 Let y(a) = a**3 - 15*a**2 + 16*a - 22. Let l = -114 + 128. Let m be y(l). Which is greater: 11/2 or m? m Let z(h) = h**2 + 17*h + 59. Let i be z(-5). Let m = -425 + 24223/57. Which is smaller: m or i? i Let v = 189 + -188.57. Let t = -0.448 + v. Do t and -0.1 have the same value? False Let x(t) = 6*t**2 - 5*t + 3. Let p(n) = -n**2 - 29*n - 27. Let z be p(-28). Let h be x(z). Is 13 at most h? False Let k(t) = t**3 + 4*t**2 + 5*t + 4. Let v be k(-3). Let z be 1 + -1 + (-2)/v. Let p = 1171220 + -18739525/16. Is z > p? True Let r be ((-28)/6)/1 + -2 + 3. Suppose -5 = -t, -4*h - 3*t - 69 = -8*h. Suppose 14*o + h = 7*o. Is o equal to r? False Let b(y) = -y**3 + 7*y**2 + 6*y - 41. Let q be b(7). Suppose -4*l - 3*j - 86 = -3*l, 3*j = -3*l - 288. Let m be 3/l*6/(-9). Are q and m non-equal? True Suppose -790 = -63*x + 722. Suppose -x + 22 = -2*w. Let y = 7803/35 + -223. Which is greater: y or w? w Let y be (-21 - (-8586320)/367980) + 14/(-6). Which is smaller: 0 or y? 0 Suppose 0 = 2*u + 3*u + 15, 4*l - 12 = 4*u. Let p = -8363/8687 - -11/511. Do l and p have the same value? False Let a = 1630 + -1629. Which is greater: 14/1369 or a? a Let p = -214.1448 + -0.8052. Let j = -215 - p. Are -21 and j unequal? True Suppose 5*r - 10 = 5*i, -4*r - 11*i + 9*i + 26 = 0. Suppose -r*b + 7*v = 8*v - 175, -v = -3*b + 97. Let j(c) = 34*c**2 - c. Let x be j(-1). Is b at most x? True Let w(a) = -3*a + 2. Let k be w(-16). Suppose -3*u + 2*l + k = 0, -4*u - 2*l + 31 = -17. Suppose -5 + 117 = u*v. Which is bigger: 10 or v? 10 Let h(i) = -26*i - 97. Let s be h(-4). Suppose 2*k - 9 = -s*k. Which is smaller: 2/53 or k? 2/53 Suppose 20817 = 363*p - 390*p. Are -771 and p unequal? False Let j = -23388/5 - -192763891/41210. Which is bigger: -1 or j? j Suppose -1516 = 3*l - 3*w - 8389, 4*l = -w + 9134. Which is greater: 2286 or l? 2286 Let i = -4.3415 - -32.5705. Let j = 28.2 - i. Is -0.01 bigger than j? True Let w(t) = -t - 1. Let q be w(-1). Suppose -l + 8 - 12 = 0. Let p be 4/(-7) - ((-1086)/238 - l). Which is smaller: p or q? p Let j = 577.34 - 584. Let a = 0.34 - j. Are 11 and a non-equal? True Let c be -22 + (15 - 34 - -44). Which is smaller: c or -579? -579 Let v(y) = 18*y**2 + 689*y - 69. Let h be v(-42). Is 2746 >= h? True Let r(y) = 1276*y - 8959. Let x be r(7). Is 1 greater than x? True Suppose -t - 224 = -204. Suppose -b = -5*g + 21, 3*b + 2*g + 12 = -0*g. Is t less than b? True Let q = -20/189 + 6148/945. Let b(s) = -2*s + 4. Let j be b(0). Let x be j*3/3 + 1. Which is greater: q or x? q Let w(x) = x**3 + 11*x**2 - 3*x - 15. Let a be w(-11). Let k(v) = v**3 - 18*v**2 - 2*v - 3. Let c be k(a). Let r be 1 + (-15)/9 + (-29)/c. Is -1 at least r? False Let t(z) = -5*z**2 - 28*z + 220. Let b be t(5). Which is smaller: -46 or b? -46 Let g = -19 - -25. Let a(h) = h**3 + 25*h**2 - 24*h + 59. Let z be a(-26). Which is smaller: z or g? g Let q(v) = v**2 + 5*v + 3. Let m be q(-4). Let y be 4/(-12)*0/m. Let o be -7 + ((-600)/44)/(-2). Which is greater: y or o? y Let x be (-1)/(-2) + (-45)/(-18). Suppose 2*i + x*p + 925 = 0, -7 = 2*p - 1. Let y = i + 3221/7. Which is greater: 3 or y? 3 Suppose -2383 = 3*b + 2*i, -522 = b - 3*i + 298. Is b != -800? True Let p be -2 + (-50)/(-15) + 6516220/258. Is p not equal to 25258? False Let f be (-12)/(-126)*((-351)/2286)/(-13). Which is smaller: f or 1? f Let l be 584 - (((-6)/(-21))/(5/(-35)) + 5). Which is greater: l or 579? l Suppose q = 9*q + 248. Let g = 22 + q. Are -10 and g nonequal? True Let j = -21451 + 19662. Which is smaller: -1793 or j? -1793 Suppose 58*v = -0*v + 753 - 2551. Is -31 > v? False Let t be 503/(-3) + 4/6. Let v = -84290.8 + 84291. Which is smaller: v or t? t Suppose 26*x - 355 + 5713 = 83*x. Is x at most as big as 80? False Let r be (3/6)/((-2)/17520*-10). Which is smaller: 439 or r? r Let k(i) = -i**3 - 43*i**2 - 16*i + 47. Let q be k(15). Is -13244 greater than q? False Let j = 160 - 73. Suppose t - 175 = -2*y, -365 = -8*y + 4*y - 5*t. Which is smaller: y or j? y Let b = 11.2 + -15.74. Let p = b + 4.44. Which is smaller: -51 or p? -51 Let l be (-2)/7 - 2*1263/(-3360). Let u = -28589/5040 + l. Let v = u - -34/9. Is v equal to -2? False Let f = -3156 + 3152. Is f greater than -128/47? False Let h(y) = -y**3 + 23*y**2 - 23*y + 20. Let w be h(22). Let d be (3/((-6)/8) - 0) + w. Let l = 1 + d. Which is smaller: l or -4? l Let k(z) = 12*z - 8. Let q be k(1). Let s be (41/q)/(-8 + 1164/144). Which is greater: s or 125? 125 Let m = 16571607/202 - 82038. Is -1 less than or equal to m? True Suppose -4*z - 1001 = -4*a + z, 0 = 2*z - 6. Let m = a - 249. Is m < -9? False Suppose -3*w - 3*f + 2246 - 6986 = 0, 2*f = 5*w + 7893. Is -1577 >= w? True Suppose 5*n = -4*q - 174, 4689*n + 86 = 4*q + 4684*n. Let a = -1 + 1. Suppose -j + 3*j + 20 = a. Which is greater: q or j? j Let r = 7356 + -7357. Let h be ((-138)/(-40))/(18/15). Is h < r? False Let v = -0.71 - -0.14. Let r = -12.83 + v. Let t = -23.4 - r. Is t bigger than -0.2? False Let p = -8831 + 8834. Which is greater: p or 139? 139 Let z be -4 - -3 - 10*341. Which is greater: z or 1/2? 1/2 Suppose 23*g - 3686 = 4*g. Let i = g - 1355/7. Does i = 8? False Let k be (((-60588)/(-136))/81)/((-2)/(-4)). Suppose t + 2 = 2*t. Which is bigger: k or t? k Let y = 717/4 - 517/3. Which is greater: y or 7? 7 Let n = 215 - 216. Let t be n*2 + (-32 - -15). Let q be (38/8)/((-3)/12). Are q and t equal? True Let c = 55 - 55. Suppose a + k + 2 = c, -4*a + 24*k - 20*k + 8 = 0. Which is smaller: 31 or a? a Let d = -1.7 + 3.7. Let g = -13 + d. Let l = 211 + -212. Which is bigger: g or l? l Let a be 3/(-9)*(-285)/(-95). Is -2/305 bigger than a? True Let
{ "pile_set_name": "DM Mathematics" }
i = q + 508/5. Is d less than or equal to i? False Let i(s) = -4*s - 4*s - 2 + 3*s + 4*s. Let u be -5 + (-1 + -1)/(-1). Let d be i(u). Which is smaller: 0 or d? 0 Suppose 0 = u - 2*a - 15 - 7, -2*a - 48 = -2*u. Do -0.1 and u have different values? True Let f = -2/67 - 185/536. Which is smaller: f or 1? f Let n be 2/(-10) + 1 + (-21)/(-5). Is n greater than or equal to 2? True Let k be (-1)/4 + (-82)/(-8). Let d = 10 - k. Are -1 and d equal? False Let w = 16.3 - 17. Let v = w + 2.7. Is 0.1 greater than v? False Let k = 38 + -35. Let r be (0 - -8)/2 + -1. Is k != r? False Suppose 0 = 2*t - t. Let m be 2 + -2 + t + -2. Is m > 0.1? False Suppose -3 - 5 = -a. Let z be 7/(-9)*a/(-14). Which is smaller: 1 or z? z Let d = 0.93 - 0.83. Is 13 bigger than d? True Let t = -53/180 + 2/45. Let h = -9.18 - -2.18. Does t = h? False Let l be -3 - (-20)/2 - 0. Let j be (-1)/(2/10 + 0). Let i = j + l. Which is smaller: i or -3? -3 Let d be (70/12)/7 + -1. Suppose 2*k - 4*u - 6 = 0, 0*u = -k + 4*u - 1. Suppose 4*r = 8*r + x - k, 5 = r - 3*x. Which is smaller: d or r? d Let x = 507 - 751. Let o = 1712/7 + x. Which is bigger: 0 or o? o Let u = 8 + -1. Let g = u - 5. Suppose -2*h = -2*i + g, -3*i - h - 4*h = -3. Is i < 1? False Suppose 6*v - 4*f + 2 = v, 2*v = f - 2. Let x(r) = r**3 + 3*r**2 - 2. Let g be x(-2). Let b be 2 - g*6/4. Which is greater: b or v? b Let g(x) = -x**2 - 10*x - 11. Let o be g(-9). Are -2 and o unequal? False Suppose 3*m + 21 = -3*s, 0 = 2*s + m + 3*m + 20. Let l be (8/(-18))/(s/6). Which is smaller: l or -1/2? -1/2 Suppose i - 5 = -0*i. Suppose 0 = i*u - u. Is u less than 2/3? True Let u be (0/(2/(-1)))/1. Suppose u = -5*v + 4*v + 7. Which is bigger: v or -1? v Let h(l) = l**3 + 4*l**2 + 4*l. Let o be h(-2). Let v be 1 - (-1)/(21/(-23)). Which is greater: o or v? o Suppose -2*l - 5*g - 32 = -3*g, 2*l = g - 47. Let j = l + 83/4. Which is smaller: j or -1? -1 Let u be 2/3*6/(-112). Which is bigger: 0 or u? 0 Let z be (1 + 15/(-6))*-2. Suppose -4*i = -z*i + 9. Let r be 2 - (-39)/i - -2. Is r less than or equal to -0.4? False Suppose 4*f = 5*d - 52, 6*f - 2*f - 2*d + 52 = 0. Is f >= -13? True Let a be (-1 - 2) + 73/27. Let n = a + 151/54. Which is smaller: 1 or n? 1 Let a(f) = f**2 - 3*f - 1. Let q be a(-2). Let i be 79/q - 6/(-27). Suppose 4*y - y = i. Is y < 0? False Suppose -2*w - 2*m - 8 = -4*w, 4 = -4*m. Suppose -3*v - o = -1 - 2, -3*o - 15 = -3*v. Let s be 1*v*(-2)/(-4). Is w bigger than s? True Let x = -17.6 + -0.4. Is 1 bigger than x? True Let j = -5 - -4.94. Which is smaller: j or 9? j Suppose w - 5*w - 84 = 0. Let n be (18/10)/(w/(-70)). Is n > 4? True Let w be (-6)/(-8)*12/18. Is -2 not equal to w? True Suppose -10*j - 8 = 22. Let h = -7 - -3. Which is smaller: h or j? h Suppose -2*u = -o + 163, 2*u + 2*o = -0*o - 172. Which is bigger: 0.1 or u? 0.1 Let w = 2/9 + 5/18. Let i = -18 - -16. Is i equal to w? False Suppose 0 = -5*g + 6*g - 18. Suppose -4*a - t + g = a, -t - 14 = -3*a. Let l be (a/10 - 1)/1. Is l greater than -1? True Let j(t) = -t**3 - 5*t**2 + t + 5. Let q be j(-5). Let g be (-4)/(-10) + 357/45. Let h = -269/33 + g. Which is smaller: h or q? q Let k = 64 + -63. Which is smaller: k or 1/156? 1/156 Let v be -161 + (-7)/(147/6). Let d = -69 - -230. Let m = d + v. Is 3 smaller than m? False Let p be ((-2)/(-132))/((-72)/4833) - -1. Which is bigger: p or 1? 1 Let r = -7.04 - -0.04. Which is greater: r or -1? -1 Let m(d) = -d - 5. Let x be m(-8). Let l = -10 + 14. Let c = 6 - l. Which is smaller: c or x? c Let z(g) be the third derivative of g**5/20 + g**4/12 + g**3/6 - g**2. Let b be z(-1). Suppose 29 + 16 = 4*l + 5*q, b*q = 2*l. Is 4 not equal to l? True Let n be (-1)/5 + 33/15. Let c = -17 + 21. Suppose c = r - n. Which is smaller: r or 5? 5 Let m be (2/5)/((-2)/(-10)). Let v be 9 + 2/(m - 3). Which is smaller: v or 1? 1 Suppose 0 = 3*t + 4*p - 110, -t + p + 0*p = -25. Let w be t - 1 - 4/(-4). Let h be (-1)/(-5) + (-81)/w. Which is bigger: -3 or h? h Suppose 0 = -v - v + 10. Let t(s) = s**2 - 5*s - 1. Let y be t(5). Let u be (v/20)/(y/(-4)). Is u bigger than 2? False Let x = -1.5 + 1.4. Let y be ((-2)/(-4))/(2/12). Which is greater: y or x? y Let q(c) = -c**2 - 9*c + 14. Let p(t) = t**2 + 9*t - 3. Let v be p(-8). Let d be q(v). Which is greater: d or -1/2? -1/2 Let b be (3/108*3)/1. Let h be (10/9)/(32/(-12)). Let v = b - h. Is 2 > v? True Let d(f) = -2*f - 21. Let q be d(-10). Which is bigger: 2/79 or q? 2/79 Let t(v) = 2*v**2 - 11*v + 8. Let h be t(4). Does -5 = h? False Let t(h) = 7*h**2 + h + 1. Let d be t(-1). Let m(l) = -l**3 + 7*l**2 + 2*l - 10. Let b be m(d). Which is smaller: b or 3? 3 Let o be (-250)/(-6) + (-1)/(-3). Let c = o + -14. Suppose -4*k - c = 4*q, q + k = 6*q + 5. Is q equal to -1? False Suppose 7 = 5*h - 3. Suppose -a + 2*b + 3 = -h*b, 0 = -4*a + 2*b - 2. Let t be (1 - 1)/(4 - 1). Which is bigger: a or t? t Let h = -44 - -5721/130. Is 1 bigger than h? True Let g = 123/2 - 60. Let v be ((-12)/(-8))/((-2)/(-4)). Suppose -v*p - 16 = p, 10 = -2*z - 3*p. Is z bigger than g? False Let u(x) = x + 8. Let f be u(-6). Suppose 4*z + 12 = -3*l, z + f*z - l - 4 = 0. Are z and 8 nonequal? True Let i = 0 - 0. Let h = 10.2 + -11. Let y = h - -1. Is i smaller than y? True Let q = -0.92 + -19.08. Is q > 0? False Let s = -0.03 - 0.07. Let p = -6/25 + -4/25. Is s greater than p? True Let u be 42/8 + (-4)/16. Suppose -u*p + 24 = -p. Which is smaller: p or 7? p Let b = 139 - 559/4. Let h(n) = 0*n**2 + 4*n - 2*n**2 + n**2. Let d be h(4). Which is bigger: d or b? d Let l(p) = -p**3 - 3*p**2 - p - 1. Let z be l(-3). Let o be (z - 1)/((-1)/2). Let s be ((-3)/6)/(o/(-12)). Is -3 > s? False Let v(o) = -o**2 - 5. Let n be v(0). Is -16/3 at least as big as n? False Let k = 13 + -7. Suppose 2*j - 5*l + 6 = -4*l, k = -j + 2*l. Let z(v) = -v**2 - 2*v. Let p be z(j). Which is smaller: 1/8 or p? p Let a = 7.03 - 7. Let g = a + -0.03. Let v = -0.06 - -2.06. Do v and g have the same value? False Let w = 2613 - 185520/71. Let x = -163/497 + w. Is x at least -0.1? False Suppose 2 = 6*l - 4*l - 4*w, 5*l + 5*w = -55. Is -4 > l? True Let i be 6*4/1*(-9)/189. Is i < 0? True Let j be (10/4)/(105/20 - 4). Is j at least -2? True Suppose -2*p - 5*g = 20, p - g = g - 1. Suppose 9*u = 5*u + 24. Let f = p + u. Do -2/9 and f have the same value? False Let q = 4.5 + -4.6. Is q not equal to 0.26? True Let z = -15 - -18. Suppose -3*b + z = -6*b. Which is smaller: 1/3 or b? b Let s(x) = -x**3 - 3*x**2 + 3*x - 3. Let l be ((6 - 1) + -1)/(-1). Let w be s(l). Let j = -18 - -107/6. Which is greater: w or j? w Let m = -2.8 - 1.2. Let j = -4 - m. Which is greater: j or 1/14? 1/14 Let b = 57.9 - 58. Are b and -0.046 equal? False Let y = 5 + -4. Let k be (-6)/3 - (-17)/10. Let m = -11/20 - k. Which is greater: m or y? y Let i be (0 + 2)/(-4) - (6 + -5). Which is bigger: 0.01 or i? 0.01 Suppose -4*f = v + 2*v + 17, v + 12 = 5*f. Is v not equal to 2? True Let h be -2 + (4 - 1) - 99. Let p be (0 - -2)*(-7)/h. Are p and 1 equal? False Suppose -6 = 5*y - 3*y. Let a = -5 + 9. Suppose 6 = v - a*v. Which is smaller: y or v? y Suppose 6*p = 3*p. Suppose -6*t - 6 = -p*t. Suppose a + 2*u = 5, 4*a + 4*u + 6 = 14. Is t greater than a? False Let y be (3 - (-21)/(-6))*-6. Suppose 0 = a - 0*a - 3. Let t be y - ((-9)/15 + a). Which is smaller: t or 2? t Let g be (-8)/2 - (-2 + 5). Is g less than -8? False Let l be (1/(-2))/((-2)/(-4)). Let y be (6/8)/l*-4. Let p = -53/2 - -27. Are p and y equal? False Suppose -4*z - 10 = 2*d, -z + 0*d + 2 = 2*d. Let n(x) = x**2 + 5*x + 6. Let u be n(z). Let v be (3/9)/((-1)/(-3)). Is u at most v? False Let g = 0.8 - 1.8. Is 0.4 <= g? False Let z = 62/195 - -14143/780. Let l = z + -75/4. Suppose -8*s = -4*s + 4. Which is bigger: l or s? l Let h be 36/(-96)*70/3. Is h at least -8? False Suppose 0 = y - 5*y - 36. Let s be (-5639)/4440 + 3/y. Let t = s + 1/296. Which is bigger: t or -2? t Suppose 6*z - 3*z = -0*z. Is z greater than 2/5? False Let m be 1 - (5 + -2 + 0). Let s(v) = -6*v + 2*v**3 - 1 + 3*v - v**2 + 2*v. Let p be s(-1). Do p and m have different values? True Let t(j) = -j**2 + 9*j + 2. Let q be t(6). Suppose 4*c = -2*v - 34, -3*v - q = v. Which is bigger: c or -5? -5 Let j = 0.5 + -0.3. Let x = -6.4 + 6. Let v = -0.3 - x. Which is big
{ "pile_set_name": "DM Mathematics" }
9/143 Two letters picked without replacement from mduddmduudumdududu. What is prob of picking 1 m and 1 u? 7/51 What is prob of picking 1 c and 1 m when two letters picked without replacement from mjcjjjjjcwcjc? 2/39 Three letters picked without replacement from {h: 12, q: 3}. Give prob of picking 3 h. 44/91 Two letters picked without replacement from {d: 4, r: 2, z: 5}. Give prob of picking 1 r and 1 z. 2/11 Three letters picked without replacement from sssyssswsssysssymoo. What is prob of picking 1 m and 2 s? 22/323 Calculate prob of picking 1 u, 1 l, and 1 h when three letters picked without replacement from uggghgpl. 1/56 Four letters picked without replacement from {a: 5, r: 4, i: 2}. What is prob of picking 2 a and 2 i? 1/33 Two letters picked without replacement from millvlivvv. What is prob of picking 1 l and 1 v? 4/15 What is prob of picking 1 m and 1 s when two letters picked without replacement from {a: 2, s: 2, r: 1, m: 2, x: 1}? 1/7 Calculate prob of picking 2 l and 1 t when three letters picked without replacement from {l: 2, w: 1, o: 2, t: 1}. 1/20 Two letters picked without replacement from {n: 3, t: 1, p: 3, r: 5}. Give prob of picking 2 p. 1/22 Four letters picked without replacement from shssasasah. What is prob of picking 3 s and 1 a? 1/7 Four letters picked without replacement from {u: 2, t: 10}. Give prob of picking 1 u and 3 t. 16/33 What is prob of picking 1 d and 1 r when two letters picked without replacement from {d: 1, r: 19}? 1/10 Calculate prob of picking 1 z and 1 s when two letters picked without replacement from {g: 3, w: 1, z: 7, j: 1, s: 2}. 2/13 Calculate prob of picking 1 i and 1 f when two letters picked without replacement from {i: 1, x: 2, f: 3, m: 10}. 1/40 Two letters picked without replacement from rtrr. Give prob of picking 1 t and 1 r. 1/2 What is prob of picking 3 q when three letters picked without replacement from {q: 5, f: 7, i: 4}? 1/56 Three letters picked without replacement from nbpnnnqdqnqb. Give prob of picking 2 n and 1 b. 1/11 Calculate prob of picking 3 e and 1 m when four letters picked without replacement from emeeemmeeme. 14/33 What is prob of picking 2 i when two letters picked without replacement from iiyyiyyiiyyyyiiyii? 4/17 What is prob of picking 2 e and 2 a when four letters picked without replacement from {a: 3, e: 3}? 3/5 Three letters picked without replacement from {c: 3, y: 2, l: 3, m: 1, f: 3, o: 2}. What is prob of picking 1 f, 1 o, and 1 l? 9/182 What is prob of picking 2 y when two letters picked without replacement from vvvyxvvgvdyxgg? 1/91 Two letters picked without replacement from gcsgjbe. What is prob of picking 1 s and 1 j? 1/21 Two letters picked without replacement from frrr. Give prob of picking 1 f and 1 r. 1/2 Three letters picked without replacement from {n: 3, k: 2, s: 4}. What is prob of picking 1 n and 2 k? 1/28 What is prob of picking 1 n and 1 q when two letters picked without replacement from {z: 2, o: 1, e: 1, x: 1, q: 1, n: 1}? 1/21 Calculate prob of picking 4 p when four letters picked without replacement from pppppppppp. 1 Three letters picked without replacement from xnzxnzznzzx. What is prob of picking 2 x and 1 z? 1/11 Three letters picked without replacement from vvtggpvtpvuh. What is prob of picking 2 p and 1 v? 1/55 What is prob of picking 1 q, 1 p, and 1 m when three letters picked without replacement from {p: 1, d: 1, q: 1, m: 2}? 1/5 Calculate prob of picking 2 s and 1 k when three letters picked without replacement from osissdsssosski. 1/13 Four letters picked without replacement from {q: 2, m: 4}. Give prob of picking 3 m and 1 q. 8/15 What is prob of picking 1 u and 1 i when two letters picked without replacement from {r: 7, u: 3, i: 4}? 12/91 Two letters picked without replacement from gllgagal. What is prob of picking 1 g and 1 a? 3/14 What is prob of picking 2 a when two letters picked without replacement from {a: 2, c: 1}? 1/3 Two letters picked without replacement from yyllyyylyl. What is prob of picking 1 l and 1 y? 8/15 Three letters picked without replacement from wwrrww. What is prob of picking 2 w and 1 r? 3/5 What is prob of picking 1 s and 2 n when three letters picked without replacement from {n: 7, s: 2, x: 1, d: 2}? 21/110 Calculate prob of picking 1 y, 1 d, and 1 f when three letters picked without replacement from {d: 1, f: 2, y: 4}. 8/35 What is prob of picking 1 p and 3 w when four letters picked without replacement from pwwowwwwoowwwwwosow? 55/969 Two letters picked without replacement from {t: 1, r: 5, m: 3, d: 3, o: 2, l: 1}. Give prob of picking 1 t and 1 d. 1/35 Three letters picked without replacement from ggg. What is prob of picking 3 g? 1 Two letters picked without replacement from {r: 4, n: 2, u: 10, x: 3}. Give prob of picking 1 n and 1 x. 2/57 What is prob of picking 2 m, 1 u, and 1 d when four letters picked without replacement from {d: 1, l: 1, m: 5, u: 2, k: 1}? 2/21 Three letters picked without replacement from uqqqu. Give prob of picking 3 q. 1/10 Three letters picked without replacement from vxxvyynkxykx. Give prob of picking 1 k, 1 x, and 1 v. 4/55 What is prob of picking 2 w and 1 f when three letters picked without replacement from qwqjqwf? 1/35 Two letters picked without replacement from ahabaebbabbbbbbh. Give prob of picking 2 a. 1/20 What is prob of picking 1 a and 1 x when two letters picked without replacement from {g: 1, x: 1, k: 1, a: 1, b: 1, j: 2}? 1/21 What is prob of picking 2 m and 2 a when four letters picked without replacement from {a: 6, t: 6, m: 3, j: 1, h: 1}? 9/476 What is prob of picking 1 o, 1 p, and 2 z when four letters picked without replacement from zpvzhozzo? 2/21 Calculate prob of picking 1 w and 1 z when two letters picked without replacement from fotewetofezooeeow. 1/68 What is prob of picking 4 g when four letters picked without replacement from ppggppggpppggpggpgg? 35/646 What is prob of picking 1 y and 1 r when two letters picked without replacement from {r: 1, y: 2, t: 1, g: 2, h: 1}? 2/21 Calculate prob of picking 3 n and 1 x when four letters picked without replacement from {n: 4, x: 3}. 12/35 Two letters picked without replacement from nvgzo. Give prob of picking 1 z and 1 g. 1/10 Two letters picked without replacement from fyffy. What is prob of picking 2 y? 1/10 Three letters picked without replacement from {j: 4, e: 2}. What is prob of picking 1 e and 2 j? 3/5 Three letters picked without replacement from lkmimmmlkli. Give prob of picking 1 l, 1 m, and 1 i. 8/55 Four letters picked without replacement from vkabjbkaka. What is prob of picking 1 j, 1 v, and 2 k? 1/70 Calculate prob of picking 2 i when two letters picked without replacement from {c: 1, m: 3, i: 5, d: 6, e: 3}. 10/153 What is prob of picking 1 t and 1 h when two letters picked without replacement from hpt? 1/3 Calculate prob of picking 2 h and 2 u when four letters picked without replacement from buuuuuuuhbhhuuuubh. 11/102 What is prob of picking 1 k and 2 l when three letters picked without replacement from {q: 3, k: 5, m: 9, l: 3}? 1/76 Calculate prob of picking 1 m and 1 l when two letters picked without replacement from {a: 1, k: 1, l: 2, m: 9}. 3/13 What is prob of picking 1 b and 1 w when two letters picked without replacement from ngbrgnww? 1/14 Three letters picked without replacement from rcddccccr. What is prob of picking 1 r and 2 d? 1/42 Three letters picked without replacement from {c: 5, w: 8}. What is prob of picking 3 w? 28/143 Two letters picked without replacement from {i: 4, b: 1, w: 2, d: 1, p: 3, v: 4}. Give prob of picking 1 p and 1 b. 1/35 Two letters picked without replacement from {d: 7, s: 5, e: 1, p: 2, h: 3}. Give prob of picking 1 p and 1 e. 2/153 Three letters picked without replacement from foooshppfsfoosfs. What is prob of picking 2 f and 1 p? 3/140 Three letters picked without replacement from {k: 1, q: 12, g: 1, e: 1, c: 4, x: 1}. Give prob of picking 1 g, 1 c, and 1 x. 1/285 What is prob of picking 2 m, 1 d, and 1 b when four letters picked without replacement from xmxbbmmbmdmxmmdbxd? 7/85 Two letters picked without replacement from {u: 11, t: 3}. Give prob of picking 2 u. 55/91 What is prob of picking 1 s, 1 n, and 1 w when three letters picked without r
{ "pile_set_name": "DM Mathematics" }
sqrt(5) Simplify -3 + (4*(sqrt(500)*2 + 3)*-6)**2 + -3. 69120*sqrt(5) + 1157178 Simplify (((-3 + sqrt(180))*-6 - -3*(sqrt(180) + 3 - sqrt(180)))*3)**2. -17496*sqrt(5) + 64881 Simplify 4*((sqrt(500) - (sqrt(500) - -1*sqrt(500))) + 4 + sqrt(500) - ((sqrt(500) + sqrt(500) + 0)*-5 + sqrt(500)))**2. 2880*sqrt(5) + 162064 Simplify ((sqrt(1300) - (sqrt(1300) + 2)*-4 - sqrt(1300)) + sqrt(1300) + sqrt(1300) + (sqrt(1300) - (sqrt(1300) + (sqrt(1300) + -3 - sqrt(1300)))*-6))**2. -2600*sqrt(13) + 219800 Simplify (6*sqrt(20)*1*3)/(sqrt(20)/(sqrt(10)/sqrt(2)*-4)). -72*sqrt(5) Simplify 4*(sqrt(21)/(sqrt(847)*2) + sqrt(9)/((sqrt(108) + sqrt(108)*1 - sqrt(108)) + sqrt(108) + sqrt(108)))**2. 400/3267 Simplify -2*(sqrt(13) + (sqrt(13) - (sqrt(130)/(sqrt(40)/sqrt(4)))**2)) + (sqrt(1300)*-2)**2 + (sqrt(130) + sqrt(130)*2)/sqrt(10). -sqrt(13) + 5226 Simplify -2*(sqrt(363) + -1 + 1)*2. -44*sqrt(3) Simplify (((sqrt(119) - (1*sqrt(119) - sqrt(119))*-1)*-6)/(sqrt(4032)*-2))**2. 17/64 Simplify ((sqrt(3500) + sqrt(3500) + (sqrt(3500) + sqrt(3500)*-1 - sqrt(3500)))/sqrt(5))**2 - ((sqrt(847) - 4*(1 + sqrt(847))) + sqrt(847))**2. -2704 - 176*sqrt(7) Simplify 2*(5 + (1*(sqrt(931) + (sqrt(931) - sqrt(931)*-3 - sqrt(931))) - 5*(sqrt(931) + 2)))**2. 140*sqrt(19) + 1912 Simplify ((3*sqrt(400))/sqrt(8))/sqrt(10) + (2*(5 + sqrt(20)))**2. 180 + 83*sqrt(5) Simplify -3*(sqrt(76)/(3*sqrt(4)) + sqrt(19)) + -6*(sqrt(76) - (0 + sqrt(76))**2). -16*sqrt(19) + 456 Simplify -4*(-1 + 3 + -5 + sqrt(180)). -24*sqrt(5) + 12 Simplify (sqrt(18) + -6*sqrt(1152))/sqrt(900). -47*sqrt(2)/10 Simplify ((sqrt(180)/(-1*sqrt(484) - sqrt(484)))/(4*(sqrt(144)*2 - sqrt(144)) - sqrt(144)))**2. 5/69696 Simplify -2 + (-1 + sqrt(6)/sqrt(3) + 4 + -3)**2 + 5. 5 Simplify (3*(5 + -2*sqrt(1053)) - (sqrt(1053) - (sqrt(1053) - -1*sqrt(1053)*-1 - sqrt(1053)) - sqrt(1053) - (1 + sqrt(1053) + 0)))**2. -1728*sqrt(13) + 38164 Simplify ((-1*sqrt(832) - sqrt(208)/sqrt(4)*3)/(sqrt(100)*2*3))**2. 637/900 Simplify -6*(3 + ((sqrt(24) - 5*sqrt(600))/(2*sqrt(36)/sqrt(3)))**2). -1746 Simplify (0 + (-4*sqrt(68)*-2 - sqrt(68))/(sqrt(500)/sqrt(5)))**2. 833/25 Simplify ((sqrt(6300)*-3 - sqrt(6300)) + sqrt(6300))/(sqrt(90)/(sqrt(40)/sqrt(4))). -30*sqrt(7) Simplify ((4*(sqrt(110)*2 - sqrt(110)) + sqrt(110) + sqrt(110) + sqrt(110))/(sqrt(90)/(sqrt(9)*1 + sqrt(9)))*-4)**2*-5. -172480 Simplify -1 + ((2*sqrt(1125))**2 - sqrt(1125) - (-1 + 0 + sqrt(45))). -18*sqrt(5) + 4500 Simplify 0 + 0 + 2*((2 + sqrt(98))**2 + -5) + 4. 56*sqrt(2) + 198 Simplify (6*(sqrt(180) + sqrt(180)*2 - (sqrt(5) + -2 + sqrt(605))) + 5 + -1)**2. 1152*sqrt(5) + 6736 Simplify -5 + ((3*(sqrt(1617) + sqrt(1617) + sqrt(1617)*2))/((sqrt(120)*1)/sqrt(10)))**2. 19399 Simplify (2*(2*(-1 + sqrt(19)) - sqrt(931)*2))**2. 192*sqrt(19) + 10960 Simplify (sqrt(98)*-2 - (-5 + (sqrt(18) - sqrt(2) - sqrt(2)))) + -4 + sqrt(12)/(-1*sqrt(6)*-5). -74*sqrt(2)/5 + 1 Simplify (6*sqrt(1300))/(sqrt(40)/(sqrt(50)/sqrt(5))). 30*sqrt(13) Simplify ((sqrt(170)*-1)/sqrt(10))**2 + ((sqrt(187)*2)/sqrt(11))**2 + sqrt(1700) + 2*(5 + sqrt(1700)). 95 + 30*sqrt(17) Simplify 4 + (((sqrt(162) - (-1 + sqrt(162) + sqrt(162)))*4 - 1*sqrt(162)*-1)*1)**2. -216*sqrt(2) + 1478 Simplify (2*(-1 + sqrt(1377) + -2 - (sqrt(1377)*-3 + sqrt(1377) + -3)))**2*2. 99144 Simplify 0 + (sqrt(192) + -3)**2*2 + -5*(sqrt(3) + sqrt(9)/sqrt(3) + -4). -106*sqrt(3) + 422 Simplify ((sqrt(102)/sqrt(3)*-6)/(5*sqrt(20)/sqrt(10)))**2. 612/25 Simplify -1*(1 + (sqrt(17) - (1 + sqrt(17)))**2) + (2*(sqrt(833) + 3))**2. 168*sqrt(17) + 3366 Simplify (-2 + (sqrt(7) - sqrt(28)/sqrt(4)))*4 + -1*sqrt(252) + 4. -6*sqrt(7) - 4 Simplify -2*(5*(0 + sqrt(162)) + sqrt(162) + -2*sqrt(162) + -3 + -2)**2. -5234 + 720*sqrt(2) Simplify (-4 + 5 + sqrt(605) + 0 + sqrt(605))**2 - (sqrt(80) + (sqrt(80) + 0 + sqrt(80) + sqrt(80))*-1 + sqrt(80) + (1 + sqrt(80))*-3). 60*sqrt(5) + 2424 Simplify ((sqrt(153))**2 - sqrt(17))*2 + -1 + sqrt(85)/sqrt(5) + sqrt(17) - (sqrt(17) + -2*sqrt(425))*-5. -45*sqrt(17) + 305 Simplify 2 + sqrt(11)*-1 + (3 + sqrt(891))**2 + ((sqrt(132) + 2*sqrt(132) + sqrt(132))*-3 + sqrt(132))/sqrt(12)*-4. 97*sqrt(11) + 902 Simplify -5*(-4 + (5 + (1*(sqrt(153) - sqrt(153)*-1) - sqrt(153)))*-1)**2. -1170 - 270*sqrt(17) Simplify ((sqrt(5) + 1)*5 - (sqrt(5) - ((sqrt(15)*3)/sqrt(3))**2)) + (sqrt(480)/(sqrt(128) - sqrt(8)))/((sqrt(132) + sqrt(132)*1 + sqrt(132))/sqrt(11)). 37*sqrt(5)/9 + 50 Simplify ((sqrt(450)/(-3*sqrt(10)))/(sqrt(9) + (sqrt(9) - (sqrt(9) - 5*(sqrt(9) - sqrt(324)))))*1)**2. 5/5184 Simplify -3 + ((sqrt(252)*-1 - sqrt(252))*1 + 0 + 3 + sqrt(252))**2*4. -144*sqrt(7) + 1041 Simplify ((sqrt(3) - (sqrt(3) - 5*(sqrt(3) - (1 + sqrt(3)))) - sqrt(3))**2 - -2*((sqrt(3) + 0)**2 + sqrt(3))) + 3. 12*sqrt(3) + 37 Simplify -5 + sqrt(10)/(sqrt(2)*-1) + (sqrt(5) - (sqrt(55)*-2)/sqrt(11) - (sqrt(5) + sqrt(5) + sqrt(15)/sqrt(3)*1 + sqrt(5)))**2. -sqrt(5) Simplify -3*((-6*(sqrt(9) - (sqrt(9) + sqrt(324) + sqrt(9))))/sqrt(3)*-6)**2 + 4. -571532 Simplify -1*((sqrt(1216) - (sqrt(1216) + -4 + sqrt(1216) + 1))**2 - (sqrt(1900) + sqrt(1900) + 4 + sqrt(1900) + sqrt(1900))**2*-3). -92473 - 912*sqrt(19) Simplify ((2*sqrt(70) - sqrt(70) - sqrt(70))/sqrt(2))/(sqrt(343) + sqrt(343)*2 + sqrt(343) + sqrt(7)) + 6*((-2*sqrt(405))**2 + 0). 9720 Simplify (4*(sqrt(204)*-1*-2 - sqrt(204)))/(sqrt(1452) - sqrt(1452)*1*-6) + 5. 4*sqrt(17)/77 + 5 Simplify (1 + sqrt(833))**2*-1 + (sqrt(17) - sqrt(34)/(sqrt(2) + sqrt(8) + sqrt(2) + sqrt(2) + sqrt(2))) + (0 + sqrt(425) + sqrt(17) - sqrt(17)) + sqrt(17). -834 - 43*sqrt(17)/6 Simplify ((sqrt(3564)*1)**2 + 3 + 4)*-6 + 1. -21425 Simplify (-2*sqrt(252))**2*3 + -3*sqrt(84)/sqrt(3). -6*sqrt(7) + 3024 Simplify ((4 + sqrt(700)*-2)**2 + sqrt(700))*-6 - (-3*(0 + sqrt(700) + sqrt(700)) - ((6*(-1*sqrt(700) - sqrt(700)))**2 - sqrt(700))). 950*sqrt(7) + 83904 Simplify -2 + (sqrt(91)/(3*sqrt(175)))**2 + -5. -1562/225 Simplify (2*(-3 + 3*sqrt(26)/sqrt(2)))**2 + -4. -72*sqrt(13) + 500 Simplify ((sqrt(136) - -2*1*sqrt(136)) + sqrt(136) - 1*(sqrt(136)*1 - sqrt(136)))/(sqrt(8) + (sqrt(200) - 2*sqrt(200) - sqrt(8)) - -5*(sqrt(8) + 2*sqrt(8))). 2*sqrt(17)/5 Simplify -6*((0 + sqrt(13))*4 + -3 + sqrt(130)/(sqrt(10) - sqrt(40) - sqrt(10)) + (sqrt(832) - (sqrt(832) + 0) - sqrt(832))**2). -4974 - 21*sqrt(13) Simplify (((sqrt(270)*-2*-4)/sqrt(10))/((-2*sqrt(36))/sqrt(4)*-1))**2. 48 Simplify -1*(sqrt(176) + 5 - (1*sqrt(176) - sqrt(11))**2). -4*sqrt(11) + 94 Simplify -3 + sqrt(1539) + ((sqrt(1539) - (3*sqrt(1539) + -5)) + sqrt(1539))**2 + (sqrt(475) + (2 + sqrt(475))*-5)**2. 319*sqrt(19) + 9261 Simplify -2 + -5*(sqrt(1300) + 0 + sqrt(1300))**2 - (4 + sqrt(1300) + 1 + sqrt(1300) + -3). -26004 - 20*sqrt(13) Simplify ((sqrt(77) - 2*(-4*sqrt(77) - sqrt(77)))/((sqrt(14)*-5)/sqrt(2)))**2. 1331/25 Simplify (1*-2*sqrt(171) + sqrt(171) + (sqrt(171) - 3*1*sqrt(171)))/((-2*sqrt(360))/sqrt(10) + sqrt(36)). 3*sqrt(19)/2 Simplify (sqrt(22) - ((-4*sqrt(176))/sqrt(8) - sqrt(22)))/(sqrt(2) + sqrt(200) + sqrt(200)*2 + sqrt(200) + sqrt(200)). 2*sqrt(11)/17 Simplify (4*sqrt(10)/sqrt(200) - (sqrt(60) + (sqrt(2160) - -4*sqrt(2160)))/sqrt(12))**2. 23409/5 Simplify (-6*sqrt(156)*-3)/(sqrt(540)/sqrt(5)). 6*sqrt(13) Simplify -5 + sqrt(7)*-3 + (0 + sqrt(448))**2 + 6*sqrt(63)/(sqrt(9) - (sqrt(729) - (sqrt(729) - sqrt(729)*-2 - sqrt(729)))). -12*sqrt(7)/5 + 443 Simplify -5 + sqrt(76)/sqrt(4) + sqrt(19) + -5 - (sqrt(38)/(sqrt(8)/sqrt(4)*-4))**2. -179/16 + 2*sqrt(19) Simplify 1 + ((sqrt(2448) - (sqrt(2448) + (sqrt(2448) - (3 + sqrt(2448))*2)))*-4 + 1)**2. 2208*sqrt(17) + 39698 Simplify ((sqrt(1539) - (1 + 1*sqrt(1539))) + (sqrt(1539) - (-4 + sqrt(1539)*1)) + (sqrt(1539)*1 + -4)*-4)**2. -1368*sqrt(19) + 24985 Simplify (sqrt(153) - (2*((sqrt(153) - (sqrt(153) + sqrt(153)*2)) + sqrt(153)) + sqrt(153) - sqrt(153)))/(sqrt(9) + (sqrt(1296) - sqrt(1296)*2)). -3*sqrt(17)/11 Simplify ((sqrt(1600) + sqrt(1600) + sqrt(1600)*1 + sqrt(1600))*2)/((sqrt(480)*-1 - sqrt(480))/sqrt(6)). -8*sqrt(5) Simplify (1 + 4*(sqrt(98) + 1))*-2 + -3. -56*sqrt(2) - 13 Simplify (sqrt(1216)*1*-2 - ((1*sqrt(190) + sqrt(190) + sqrt(190))/sqrt(10) + 1))**2. 38*sqrt(19) + 6860 Simplify -1*(1 + sqrt(17))**2 + -3 + 0 + sqrt(17) + -6*(sqrt(272) + -3)**2. -1707 + 143*sqrt(17) Simplify ((sqrt(420)/(sqrt(50)/(sqrt(25)/sqrt(5)) + sqrt(10)))/(2
{ "pile_set_name": "DM Mathematics" }
5}. Give prob of sequence qqq. 1 What is prob of sequence kc when two letters picked without replacement from trckvvvvvrsvtrvrvvrr? 1/380 What is prob of sequence rth when three letters picked without replacement from {o: 8, h: 5, t: 1, r: 5}? 25/5814 Four letters picked without replacement from xjxsjava. What is prob of sequence sjvx? 1/420 Four letters picked without replacement from {v: 6}. What is prob of sequence vvvv? 1 Three letters picked without replacement from {n: 3, t: 6, f: 6}. Give prob of sequence fft. 6/91 What is prob of sequence iiii when four letters picked without replacement from iicciiiiciciiiciiiii? 91/323 What is prob of sequence nnb when three letters picked without replacement from {r: 2, b: 2, n: 5}? 5/63 Four letters picked without replacement from {k: 4, n: 2, a: 3, p: 2, g: 2, i: 3}. Give prob of sequence ikkp. 3/1820 What is prob of sequence cx when two letters picked without replacement from {x: 11, k: 2, c: 1, s: 1, o: 1}? 11/240 Four letters picked without replacement from xtxxwwwxnxtx. What is prob of sequence txwx? 1/66 Three letters picked without replacement from {j: 2, a: 2, w: 1, n: 1, f: 4}. Give prob of sequence jnj. 1/360 Two letters picked without replacement from {f: 3, q: 4, l: 3, c: 1, n: 1, h: 3}. What is prob of sequence qh? 2/35 Calculate prob of sequence tc when two letters picked without replacement from {t: 2, f: 1, c: 2, m: 1, o: 1, s: 1}. 1/14 Calculate prob of sequence ccc when three letters picked without replacement from {p: 7, c: 4, h: 1, b: 1, j: 5, k: 1}. 4/969 What is prob of sequence ghg when three letters picked without replacement from gggggeggggghgggg? 13/240 What is prob of sequence gv when two letters picked without replacement from vvggvvvvvvvgvggvvvg? 13/57 Four letters picked without replacement from jjjj. What is prob of sequence jjjj? 1 Two letters picked without replacement from thhhbbhhtt. What is prob of sequence bb? 1/45 Three letters picked without replacement from cdd. What is prob of sequence dcd? 1/3 Two letters picked without replacement from {u: 1, v: 1, z: 1, p: 1, n: 1}. What is prob of sequence vu? 1/20 Calculate prob of sequence mwmm when four letters picked without replacement from mwwmm. 1/10 Four letters picked without replacement from {h: 1, v: 1, z: 1, r: 1, y: 5}. What is prob of sequence rvyr? 0 Two letters picked without replacement from {a: 3}. What is prob of sequence aa? 1 Calculate prob of sequence aaaa when four letters picked without replacement from {d: 6, a: 1, c: 7}. 0 What is prob of sequence cvv when three letters picked without replacement from cvvyv? 1/10 Two letters picked without replacement from lara. Give prob of sequence la. 1/6 Calculate prob of sequence dddw when four letters picked without replacement from {w: 2, d: 16}. 14/153 Three letters picked without replacement from exxexxxxwxexxexxxxex. Give prob of sequence eex. 7/171 Two letters picked without replacement from zmmmzmzzmmzzzzmmmzmm. Give prob of sequence mz. 99/380 Four letters picked without replacement from {b: 1, w: 1, l: 3, j: 1, q: 1}. What is prob of sequence qwlj? 1/280 Calculate prob of sequence jk when two letters picked without replacement from llkkulujl. 1/36 What is prob of sequence axjx when four letters picked without replacement from axjaxxjaaxaxx? 5/286 What is prob of sequence did when three letters picked without replacement from {b: 1, i: 1, h: 2, u: 2, d: 2}? 1/168 What is prob of sequence wm when two letters picked without replacement from mmmmmww? 5/21 Three letters picked without replacement from yyxyyyxxxyyxy. Give prob of sequence xyy. 70/429 Four letters picked without replacement from mmiyiyiyihyiymy. Give prob of sequence ymmy. 1/182 Two letters picked without replacement from {w: 9, r: 2}. Give prob of sequence wr. 9/55 Two letters picked without replacement from nbndnninnbhbhd. What is prob of sequence hn? 6/91 Three letters picked without replacement from hzz. What is prob of sequence zhz? 1/3 Two letters picked without replacement from {d: 1, k: 5, r: 7}. What is prob of sequence rk? 35/156 Three letters picked without replacement from ppplplplpppppp. What is prob of sequence lll? 1/364 Calculate prob of sequence yf when two letters picked without replacement from afya. 1/12 Calculate prob of sequence exv when three letters picked without replacement from {h: 1, e: 1, x: 3, v: 2}. 1/35 Three letters picked without replacement from {w: 2, z: 10, k: 3}. Give prob of sequence zkk. 2/91 What is prob of sequence uott when four letters picked without replacement from twworwowwvtwuro? 1/5460 Two letters picked without replacement from dddbdssddbdssbb. What is prob of sequence bd? 2/15 What is prob of sequence ajjj when four letters picked without replacement from {a: 4, j: 16}? 112/969 What is prob of sequence hww when three letters picked without replacement from hwhhhwhwwwwh? 3/22 Three letters picked without replacement from {y: 1, i: 1, l: 1, t: 1, m: 1, o: 2}. What is prob of sequence yio? 1/105 What is prob of sequence ud when two letters picked without replacement from quqdd? 1/10 Calculate prob of sequence ny when two letters picked without replacement from {n: 2, a: 1, x: 1, p: 1, y: 1, r: 1}. 1/21 Two letters picked without replacement from {i: 7, j: 1, g: 2}. Give prob of sequence ij. 7/90 What is prob of sequence qq when two letters picked without replacement from {e: 1, s: 7, q: 4, a: 1}? 1/13 Calculate prob of sequence pt when two letters picked without replacement from {t: 1, e: 4, a: 2, m: 1, u: 3, p: 1}. 1/132 Two letters picked without replacement from slllllsll. What is prob of sequence ll? 7/12 What is prob of sequence dmwd when four letters picked without replacement from dglwdmwkk? 1/756 Two letters picked without replacement from {i: 3, w: 3, c: 1, x: 8, r: 3, z: 1}. What is prob of sequence cx? 4/171 Two letters picked without replacement from {f: 14, p: 5}. Give prob of sequence fp. 35/171 What is prob of sequence ccc when three letters picked without replacement from agcpcccpaxcp? 1/22 Two letters picked without replacement from {i: 10}. What is prob of sequence ii? 1 Three letters picked without replacement from {m: 5, q: 11}. Give prob of sequence qqm. 55/336 Calculate prob of sequence hhhg when four letters picked without replacement from hzghzzgzrgghg. 1/572 Two letters picked without replacement from ahhhhaahaaha. Give prob of sequence aa. 5/22 Two letters picked without replacement from {o: 3, e: 1, r: 1, y: 2}. What is prob of sequence ry? 1/21 Two letters picked without replacement from cclcaldct. What is prob of sequence da? 1/72 Calculate prob of sequence saf when three letters picked without replacement from {f: 1, x: 1, j: 5, a: 1, n: 3, s: 1}. 1/1320 Two letters picked without replacement from {i: 4, p: 1, a: 3}. What is prob of sequence aa? 3/28 What is prob of sequence evw when three letters picked without replacement from {e: 5, v: 1, w: 3}? 5/168 Two letters picked without replacement from {c: 8, t: 2}. Give prob of sequence ct. 8/45 Calculate prob of sequence ffdd when four letters picked without replacement from dfdfddrr. 1/70 What is prob of sequence iicc when four letters picked without replacement from iiicic? 1/15 What is prob of sequence jw when two letters picked without replacement from weqkqwjqqqqwksw? 2/105 Calculate prob of sequence ttt when three letters picked without replacement from {u: 5, f: 8, t: 4}. 1/170 What is prob of sequence nyih when four letters picked without replacement from {y: 1, h: 1, z: 1, n: 2, i: 2, b: 2}? 1/756 Four letters picked without replacement from vxkvkd. Give prob of sequence kkkd. 0 Two letters picked without replacement from {w: 1, o: 2, t: 1, s: 2, j: 1}. Give prob of sequence jt. 1/42 Two letters picked without replacement from {g: 1, c: 1, k: 18}. Give prob of sequence cg. 1/380 Three letters picked without replacement from {m: 2, p: 2, h: 1, c: 1, t: 1}. Give prob of sequence mhc. 1/105 Two letters picked without replacement from jaajajjaaaa. Give prob of sequence jj. 6/55 Four letters picked without replacement from {g: 10, l: 1, p: 6}. Give prob of sequence glpg. 9/952 What is prob of sequence sv when two letters picked without replacement from zvz
{ "pile_set_name": "DM Mathematics" }
Which is the closest to 5/6? (a) -2/161 (b) -6 (c) 5 (d) -3 a What is the closest to 1 in -5, -141, 2, -4/9? 2 Which is the nearest to -0.04? (a) -0.023 (b) -26 (c) 5 a Which is the nearest to -0.1? (a) -0.4 (b) 0 (c) -2 (d) 27942 b Which is the nearest to -48? (a) -4 (b) 15 (c) -1/3 (d) 0.04 a Which is the closest to 0.6? (a) 5 (b) 6/107 (c) -9/5 b What is the nearest to 2 in -5, 2/13, 2, 0? 2 What is the closest to -8 in 2/7, 12673, -2? -2 Which is the nearest to -1? (a) 0.04 (b) 0.5 (c) -1/22 (d) -2 (e) -11 c What is the nearest to 26 in -0.5, -21, -3, 0.3, -6? 0.3 Which is the closest to -1/2? (a) -1/60 (b) 0.1 (c) -10 (d) -4 a Which is the closest to -2? (a) 0.3 (b) 3628 (c) -0.3 c Which is the nearest to 0.1? (a) 2.095 (b) 0.3 (c) 4 (d) -0.2 b What is the closest to -1 in 5, 0.2, 3/10, -5, -27? 0.2 Which is the closest to -2/9? (a) 1/6 (b) -3 (c) 3 (d) 185 a Which is the nearest to 9? (a) 0.02 (b) -0.026 (c) 0.4 c Which is the nearest to -442? (a) 0.1 (b) 4/5 (c) 2 (d) 1/31 d What is the closest to 4 in 0.3, -3, -5/4, -2, 1/20? 0.3 Which is the nearest to -6? (a) 0.8 (b) -0.3 (c) 17 (d) 20 (e) -0.01 b What is the closest to 0 in -3, 0.04, 0.205? 0.04 What is the closest to 29 in -0.3, -90, 4? 4 Which is the nearest to 2/7? (a) 1/4 (b) 0.2 (c) 1420 (d) -2/19 (e) 4 a What is the nearest to 1 in 8476, 2/7, -1? 2/7 What is the nearest to -3 in 2/15, 0.5, 23? 2/15 What is the nearest to 1/4 in -63/4, 4, -3? -3 Which is the nearest to 41? (a) 2/41 (b) -2.6 (c) -4/3 a What is the closest to 6 in 0, 5/3, 2/15, 9, 2129? 9 What is the closest to -13 in 0.4, -76, 4, -1/4, 2/7? -1/4 Which is the nearest to -4? (a) 0.4 (b) 5 (c) -2 (d) -0.239 (e) 0.1 c What is the nearest to -2/7 in -374152, 0.3, -2/3? -2/3 Which is the closest to -1? (a) 2 (b) -26 (c) -1.1 (d) -0.5 c What is the nearest to 528/5 in -2, 3, -5? 3 What is the nearest to 6 in 1/2, -5, 621? 1/2 What is the nearest to -1/9 in 1368/13, 0.1, 2/5? 0.1 What is the closest to -0.1 in -6, -1/2, 304/3? -1/2 What is the closest to 0 in 2278, -5, 5/3, 7? 5/3 What is the nearest to -0.4 in -2, -2/25, 77, 4? -2/25 What is the closest to -11.8 in 1.6, -0.5, 0.3, 5? -0.5 What is the nearest to 2/33 in 0.2, -4/9, 9.9? 0.2 What is the closest to -13 in -3/4, -0.1, 0, 0.4, 0.2? -3/4 What is the nearest to 2 in 4, 6/11, -8, 10? 6/11 Which is the closest to -5? (a) 3430 (b) 1/5 (c) -0.4 c What is the nearest to 0 in 3, 1/15, -0.02, 0.2? -0.02 What is the nearest to -136 in 5, 0.3, 1/14, 28, -5? -5 What is the nearest to 2685 in 2/9, 4, 21/5? 21/5 What is the nearest to 41 in 7, -5, -3, 17, 0? 17 Which is the closest to 26? (a) -2 (b) -231 (c) 3 (d) 4 d Which is the nearest to 22/3? (a) -2 (b) -4/173 (c) -2/13 b Which is the closest to 0? (a) -1/7 (b) 3 (c) -1/6 (d) -2 a Which is the closest to 0.1? (a) 1.4 (b) -0.4 (c) 1 (d) 2/67 d Which is the closest to -2/89? (a) -13 (b) 1/6 (c) -4/7 (d) -2 (e) 1/7 e Which is the nearest to 1956? (a) 0.9 (b) 3 (c) -2/7 b Which is the nearest to -2/3? (a) 1.2 (b) 0.22 (c) -5 (d) 1/1605 (e) 2 d Which is the nearest to -21/5? (a) 2/9 (b) -7 (c) 0.24 b Which is the nearest to -5? (a) -0.025 (b) 7 (c) 0.1 a What is the nearest to -0.1 in -18, 5, 26.7, -1/2? -1/2 What is the nearest to 0.3 in -1.76, -2/5, -6, 5, -229? -2/5 What is the closest to -1 in -17, -2, -19, 0.035? -2 What is the closest to 2/25 in -0.18, -0.5, 10, -29? -0.18 Which is the nearest to 2? (a) 0.001 (b) 1/2 (c) -7/3 b Which is the closest to 16? (a) -2 (b) -1/12 (c) 2/11 c What is the nearest to -2 in 1, 66, 1/52? 1/52 Which is the closest to 1? (a) -3 (b) 10 (c) -430 (d) -4 a What is the nearest to -4 in -0.3, 2, 11, 3/5? -0.3 What is the closest to 0.1 in -7, -5, 1.5, 11, -0.3? -0.3 Which is the nearest to -1? (a) -1/4 (b) -0.1 (c) 4 (d) -0.5 (e) -1/43 d What is the nearest to 4/11 in -3, 78/7, -3/2, 0.3, -5? 0.3 What is the closest to -16 in -17, 0, 0.2, -4? -17 Which is the nearest to 0.1? (a) 5 (b) -0.1 (c) 0.5 (d) -0.0653 d What is the closest to -1 in 0, 3, -57, -1/6, -48? -1/6 Which is the closest to 5? (a) 30 (b) -1/10 (c) -1 (d) -6 b What is the nearest to 1/6 in 393, 0, 7, -4? 0 Which is the closest to -1.1? (a) 1/7 (b) -50 (c) -0.1 c Which is the closest to 0? (a) 2/69 (b) 11/27 (c) 0.3 a Which is the nearest to 5? (a) -3/2 (b) 220/3 (c) 0.3 (d) 0.07 c Which is the closest to 0.5? (a) -159 (b) -5 (c) -3 (d) -0.1 d What is the closest to -0.04 in 702/7, 0.5, 1/3? 1/3 What is the nearest to -46 in 4, 1/7, -2/3, 1/5? -2/3 Which is the nearest to 7? (a) 5 (b) 133 (c) -5 (d) 4 a Which is the closest to 1/6? (a) 0.4 (b) 2.9 (c) -1 (d) 3/2 a What is the closest to 132.31 in -0.3, -0.1, 37? 37 What is the nearest to 1 in -22, -1/4, 9, 3/4, 0.03? 3/4 Which is the closest to 0.1? (a) -5 (b) 1 (c) 362 (d) 7 (e) 1/5 e What is the nearest to 14 in -0.4, 5, 0.4, -171? 5 What is the closest to -0.1 in 9, 4, 0.19? 0.19 What is the closest to 0 in 20, 0.011, 21? 0.011 Which is the nearest to -2/3? (a) -79/3 (b) -3/4 (c) 3 (d) -7 b Which is the closest to 3? (a) -1/2 (b) 13.7 (c) 1 c Which is the closest to -0.02? (a) 1/2 (b) 52 (c) 2 (d) 5 a What is the closest to -9321 in -2/11, 0.1, -2? -2 What is the nearest to 38 in -2, -341, -1/5? -1/5 Which is the closest to -9? (a) 0.7 (b) 4/9 (c) -8 c What is the nearest to 0.2 in -33455, 0.3, 2/9? 2/9 What is the closest to 7 in -6, -281, -4, 3/4? 3/4 Which is the nearest to -0.76? (a) -10 (b) -0.03 (c) 23 b Which is the closest to -3? (a) 0.5 (b) 6725 (c) 2 (d) -1 d What is the nearest to 3/7 in 0, 0.3, -7/5, -2, 122? 0.3 Which is the closest to -0.1? (a) 8/11 (b) 2/45 (c) 0 c Which is the closest to 0? (a) -0.5 (b) 583 (c) -4/5 a Which is the nearest to -3/8? (a) 1/6 (b) 325 (c) 1/9 c What is the nearest to -28 in -0.2, -82, 13? -0.2 Which is the closest to 0.2? (a) 0.6 (b) 62 (c) 0.3 c Which is the closest to 2/5? (a) -263 (b) 4 (c) 3/8 c Which is the nearest to -0.05? (a) 1/2 (b) -822 (c) 5 (d) 1/4 d What is the nearest to 2 in -79, -1/6, -0.1, -0.5, -0.3? -0.1 What is the nearest to -1100 in -2, 5/42, 2/5? -2 Which is the closest to 1? (a) 10 (b) -19/149 (c) -1/19 c What is the closest to -2 in 43, -21/8, -0.05? -21/8 What is the closest to 0 in 0.09, -2551, 0.5? 0.09 Which is the nearest to -1546? (a) 2 (b) 1/5 (c) 105 (d) 2/7 b Which is the closest to 0.1? (a) 2 (b) -6 (c) -0.88 (d) -1 (e) 2/5 e What is the closest to -0.203 in 4, 2, 1, 52? 1 What is the closest to 5.15 in 2, -1/5, -2/9, 2/9? 2 What is the closest to -0.1 in -1/11, 4, 394, 1? -1/11 What is the nearest to 0.1 in 1, 1/14, -0.1, -81, 2? 1/14 What is the nearest to 3/14677 in -5, -3, 0.4, 1/3? 1/3 What is the closest to 3/7 in 19/3, -7, 4, -0.5? -0.5 Which is the nearest to 1/3? (a) 181 (b) 4/27 (c) -4 (d) 0.2 d What is the closest to 1 in -12031, -0.63, -5? -0.63 What is the closest to 0.03599 in -5, 0.5, 5? 0.5 What is the nearest to 12/2339 in -2/11, 0.9, -0.4? -2/11 What is the nearest to 0.17 in 2/15, 5, -2, 1/3? 2/15 What is the closest to -18 in -5, 9/4, -1, 0.09? -5 Which is the closest to -4? (a) 2 (b) 1 (c) -3/4 (d) -385 (e) 3/2 c Which is the closest to -1? (a) -1/4 (b) 0.119 (c) 1/8 (d) -4/45 a Which is the closest to -1? (a) 80 (b) -19 (c) 0.1 (d) 1 (e) -5 c What is the closest to 1 in 0.5, -7/2, -3, 9? 0.5 What is the closest to 2 in 0.6, 2, 0.4, -8, 18? 2 What is the nearest to 0.3 in 0, 3, 2/1273? 2/1273 What is the nearest to 2/9 in -0.4, -20, 7, 0, -3/7? 0 What is the closest to 3 in -11, -0.135, -2, 4? 4 Which is the closest to -1/6? (a) 2/15 (b) -222 (c) 19.7 a Which is the nearest to -1/4? (a) -0.4 (b) 5 (c) -3202 (d) -1/4 d What is the closest to 2 in -0.5, 0.35, -72? 0.35 Which is the nearest to -5? (a) 5 (b) 4 (c) 0.4 (d) -36 (e) -6/5 e Which is the closest to 0.3? (a) 0.3 (b) 8 (c) -8 (d) 1 (e) -46 a Which is the nearest to 6? (a) 1 (b) -0.11 (c) -34 (d) 2/7 a Which is the nearest to 1? (a) 16/5 (b) 163 (c) 2 c Which is the nearest to -0.3? (a) -6 (b) -4 (c) 3 (d) 54 c What is the nearest to -1 in 2, 34, -121? 2 Which is
{ "pile_set_name": "DM Mathematics" }
l + -0.83. Round o to five dps. -0.00011 Let x = 0.9 + 189.1. Let c = -190.0111 + x. Round c to three decimal places. -0.011 Let u = 21 + -36. Let s = u - -8. Let z = 5 - s. Round z to the nearest ten. 10 Let j = 81.7 + -82.794. What is j rounded to 1 decimal place? -1.1 Let q = -19.6 - -19.6226. Let r = -0.2484 - q. What is r rounded to 2 dps? -0.27 Suppose l - 4*t + 9*t + 71 = 0, -4*l - 320 = 2*t. Let p = 334 + -125. Let s = l + p. Round s to the nearest 10. 130 Let a be 2/(-12) + (-65)/(-30). Suppose -a*h - h + 27000 = 0. What is h rounded to the nearest ten thousand? 10000 Let n = 0.5 - 26.6. Round n to the nearest 10. -30 Let p = -0.7 - -0.95. Let u = p + -0.12. Let c = -0.1300017 + u. Round c to six decimal places. -0.000002 Let w = 5 + -6. Let m be 3*w - (650 - 5). Let h be 100/8*m/(-10). What is h rounded to the nearest 100? 800 Let f = -0.9667 + -0.0353. What is f rounded to one dp? -1 Suppose 0 = -3*d - x + 2396998, 4*x = -2*d + 1510878 + 87114. Round d to the nearest one hundred thousand. 800000 Let w = 19315123 - 10849123. Round w to the nearest one million. 8000000 Let j = 9 - 19. Let d = j + 14. Let g = 4.00000002 - d. What is g rounded to 7 dps? 0 Suppose 0 = 5*p + 3*s - s - 1283, p = s + 251. What is p rounded to the nearest one hundred? 300 Let n = -2889 + 2855.78. Round n to the nearest integer. -33 Suppose 0*k = -2*k + 6, 2*v - 5*k + 1 = 0. Let h(t) = -1202*t**2 - 15*t + 3. Let z be h(v). Round z to the nearest ten thousand. -60000 Let d = 84 - 15. Let q = d - 68.793. Let h = 0.19 - q. Round h to three decimal places. -0.017 Let q = 14 - 14.14. Let p = -11693268.13999989 - -11693268. Let s = q - p. Round s to 7 dps. -0.0000001 Let f = -34015 + 8625. What is f rounded to the nearest 1000? -25000 Let k = 12 - 11. Let c = k + -1.000033. What is c rounded to five dps? -0.00003 Let k be (3996/45 + 0)/(2/1750). What is k rounded to the nearest one thousand? 78000 Suppose 0 = n - 4*r + 1745008, -4*n = -n - 5*r + 5235010. Round n to the nearest 100000. -1700000 Let i = -35.9962 - -36. Round i to two decimal places. 0 Let x = -1249833.0877 + 1302973.59. Let p = 53138 - x. Let k = -2.5 - p. What is k rounded to 3 dps? 0.002 Let p = -85 + 86.59. Let w = p - 1.590308. Round w to 5 decimal places. -0.00031 Let z be (-7)/(56/16) - -970002. What is z rounded to the nearest one hundred thousand? 1000000 Let p = -95186.995 - -94972. Let h = p + 213. Let u = h - -2. Round u to 2 decimal places. 0.01 Let b = 14.43000264 - 14.43. Round b to five dps. 0 Let t = 94 + -261. Let z = 167.000092 + t. What is z rounded to four dps? 0.0001 Let d = -1453 - -4509. Round d to the nearest one thousand. 3000 Let a be 5 - ((2 - 4) + 3). Suppose -b + a*u = -26985, 0*b - 2*b = -u - 53970. Suppose -m + 4*m - b = 5*h, m = 4*h + 21595. Round h to the nearest 1000. -5000 Suppose -z + 6*p + 317001 = 5*p, -z - 5*p + 316995 = 0. Round z to the nearest ten thousand. 320000 Let q = 12.78 + -115.28. What is q rounded to the nearest 10? -100 Let c = 103046136.79538 + -103110016.25537999. Let u = -63879.6 - c. Let q = 0.14 + u. What is q rounded to 7 dps? 0 Let a = 0.434 + -0.434000269. What is a rounded to 7 dps? -0.0000003 Let c be 8/(-20) + (-141918)/5. Let p = c + 18084. Round p to the nearest one thousand. -10000 Let c be (2/(-12) - (-110)/(-60))/(-2). Let w be ((-366)/(-9) + 1)/(c/(-1536)). What is w rounded to the nearest one hundred thousand? -100000 Let v = 491192 + 6158803. Let y = -1621482 + 2951507. Suppose -a + y = 4*d + d, -5*a + d + v = 0. What is a rounded to the nearest one hundred thousand? 1300000 Let l = 44.3 + -4.3. Let d = l + -39.9984. What is d rounded to four dps? 0.0016 Let o = 42236 + -41977.81. Let s = o + -6.29. Let t = 266 - s. Round t to zero decimal places. 14 Let h = 2 + -1.72. Let n = 114438.280036 - 114438. Let i = n - h. Round i to 5 decimal places. 0.00004 Let y = -7593 - -2423. What is y rounded to the nearest 100? -5200 Let a = 0.109 + 10.291. Let j = a + -10.4094. What is j rounded to 3 decimal places? -0.009 Let h = 17 + -74. Let z = -56.898 - h. Round z to two dps. 0.1 Suppose 0 = 4*d - 4155017 - 3293451. Let q(w) = -245549*w + 20. Let l be q(13). Let i = l + d. Round i to the nearest 100000. -1300000 Let d = 13.233 - -0.067. Let h = -17 + d. Let y = h + 3.719. What is y rounded to 2 dps? 0.02 Let c = -7282009 - -3237847. Let y = c + 4044162.5000023. Let q = -0.5 + y. Round q to six decimal places. 0.000002 Let q = -17 - -26. Suppose -2*k + 4*g = 0, 4*k = 4*g + g + q. Suppose 7*t = k*t - 1890000. Round t to the nearest 100000. -1900000 Let y = 14.51 + -14.51000766. Round y to 6 decimal places. -0.000008 Let y = 629.96 - 678. Round y to zero decimal places. -48 Let x = 1257665012.99999445 - 1257665045. Let k = x - -32. Round k to six decimal places. -0.000006 Let y = -0.473 + 0.66. Let u = 0.8511 - -8.2619. Let q = u + y. Round q to the nearest integer. 9 Let j = -0.0869 - -0.0709. Round j to three decimal places. -0.016 Let p = -1838 + -12997. Let f = p - -22835. Round f to the nearest 10000. 10000 Let j(u) = 6*u**2 + 7*u - 12. Let h be j(-10). Let x = h - 318. Suppose -1190 - x = -g. What is g rounded to the nearest one hundred? 1400 Let b = -0.1 - -0.1. Let s = -93.000075 - -93. Let r = b + s. What is r rounded to five dps? -0.00008 Let h = 0.564 - 0.034. Let i = 44.53 - h. Let f = i - 43.19. Round f to 1 dp. 0.8 Let g(u) = 2*u**3 - 10*u**2 + 7*u + 12. Let b be g(9). Let z be 55/(-40) - -1 - b/(-8). What is z rounded to the nearest 10? 90 Let f = -57.724 - -58. Let x = -64423697 + 64423697.27600129. Let z = x - f. Round z to 7 decimal places. 0.0000013 Let s = -7.3 + 7.2911. Let t = 449 + -449.013. Let p = s - t. Round p to 3 dps. 0.004 Suppose 83198 = -3*g - 5*j - 61537, 0 = 3*g - j + 144717. Let w be (0 + 1/(-2))/(18/g). What is w rounded to the nearest 100? 1300 Let n = -2260.4055 + 2261. Round n to 1 decimal place. 0.6 Let j = -0.2079 + 0.211036. Round j to 4 decimal places. 0.0031 Let z = -425.72195 + 0.02195. What is z rounded to the nearest ten? -430 Let z = 138221744.000087 - 138221855. Let v = z - -111. What is v rounded to 5 dps? 0.00009 Let z(w) be the second derivative of 9*w**5/20 + w**4/12 - w**3/3 - w**2 - 4*w. Let q be z(-2). What is q rounded to the nearest 10? -70 Let k(p) = -p**3 - p**2 + p + 89. Let q be k(0). Suppose 0 = 3*x - 11 + q. Let l be 7020004/x - (-16)/104. Round l to the nearest 100000. -300000 Suppose -3*s + 3*l - 189 = 0, 158 = -4*s + 3*l - 89. What is s rounded to 0 decimal places? -58 Let d = -0.76 - -0.068. Let o = d + 0.032. Round o to one dp. -0.7 Let u = 4788 - -10462. Round u to the nearest one hundred. 15300 Let m = 393763.8 - 393823.20522. Let d = -59.4 - m. What is d rounded to 4 decimal places? 0.0052 Let g(b) = 1 - 62*b - 1 - 3. Suppose 0 = 5*a - 3*m + 19, -4*m = 2*a + m - 11. Let u be g(a). Round u to the nearest 10. 120 Let w = -503.839 - 0.161. Let x = -503.999134 - w. What is x rounded to four dps? 0.0009 Let a = 185047845 + -185047902.0000285. Let c = 36 + -93. Let r = a - c. Round r to six dps. -0.000029 Let v = 4295.194 - 4289. Round v to the nearest integer. 6 Let p = -0.037597845 - -0.0376. What is p rounded to 7 decimal places? 0.0000022 Let r = -36.85 - -31. Let v = 1.09 + r. Let o = v - 1.14. Round o to the nearest integer. -6 Let u = 54 + -54.58. Let d = u + 0.58002. Round d to three decimal places. 0 Let o(r) = -r**3 + 3*r**2. Let g be o(3). Suppose g = 3*n + 810 + 2670. Round n to the nearest 100. -1200 Let f = -52557105.719999515 - -52557106. Let d = f + -0.28. What is d rounded to 7 dps? 0.0000005 Let a = 79 + -20. Let t = a + -100. Let n = 41.00000124 + t. Round n to 7 decimal places. 0.0000012 Let j be 15188/(-5)*805/(-14). Let g = 68662 - j. Round g to the nearest one hundred thousand. -100000 Let p = 79.3465 - 0.3345. Let y = p + -79. Round y to 3 decimal places. 0.012 Suppose 58 + 11 = 23*t. Let j = -12 + 17. Suppose 13990 = 2*m - 5*q, t*m - j*q = 19315 + 1675. Round m to the nearest 1000. 7000 Let b = 743 - 743.00378. What is b rounded to three decimal places? -0.004 Let s = 13241 + -1164. Let h = -2077 + s. What is h rounded to the nearest 1000? 10000 Let l be (-92910926)/4*(-4 - -6). Let r = -30455463 - l. What is r rounded to the nearest one million? 16
{ "pile_set_name": "DM Mathematics" }
/32 Calculate -37323 divided by 1131. -33 What is -16080 divided by -6? 2680 Calculate -104715 divided by 1611. -65 Calculate -51590 divided by -5159. 10 Divide -9394 by -122. 77 1 divided by -470908 -1/470908 Calculate -16750 divided by 1. -16750 What is 89401 divided by -13? -6877 Divide 1097 by -1139. -1097/1139 Divide -17776 by 1616. -11 Divide 2942 by -1471. -2 Divide -312480 by -12. 26040 -231210 divided by 46242 -5 Calculate 3391296 divided by -24. -141304 Calculate -7 divided by 2326. -7/2326 Divide -475 by 532. -25/28 Divide -756 by -36. 21 Divide 7 by 7. 1 16 divided by -6332 -4/1583 What is -2539866 divided by -5194? 489 -44 divided by 2961 -44/2961 What is -2239 divided by -2239? 1 What is 36644 divided by -6? -18322/3 -32484 divided by 4 -8121 985 divided by -23 -985/23 What is 42 divided by -30? -7/5 Divide 21 by 108243. 7/36081 Calculate 4911 divided by 148. 4911/148 What is 8257 divided by -14? -8257/14 936020 divided by -2 -468010 -404 divided by 21 -404/21 Divide 1 by -2056. -1/2056 What is 5 divided by 72473? 5/72473 265383 divided by 1 265383 What is 854532 divided by -126? -6782 -13029 divided by 129 -101 What is -306 divided by 7? -306/7 -109908 divided by 6106 -18 What is -28024735 divided by 5? -5604947 Divide -47700 by -12. 3975 Divide -297 by -1716. 9/52 2822412 divided by 3 940804 Divide -1192464 by -28. 42588 Divide 258060 by -3. -86020 What is -21635 divided by -1? 21635 Calculate -756300 divided by 15126. -50 What is -1203540 divided by -200590? 6 Calculate -3 divided by 7819. -3/7819 Calculate -566 divided by -78. 283/39 Divide -6 by -248025. 2/82675 10 divided by 55230 1/5523 4 divided by -3239 -4/3239 Calculate -16820 divided by 116. -145 What is 362445 divided by 4965? 73 What is 26 divided by -3877? -26/3877 Calculate 5117 divided by 119. 43 What is -31724 divided by 15862? -2 Divide 6706 by -3. -6706/3 4374 divided by 2 2187 Divide 127 by 8361. 127/8361 Divide 875401 by 10547. 83 What is 142 divided by 1638? 71/819 What is -12816 divided by 3? -4272 Divide 533088 by 4936. 108 -264325 divided by -5 52865 Divide -878733 by 1467. -599 What is -3135 divided by 55? -57 Calculate -10 divided by -244. 5/122 2877543 divided by 4 2877543/4 89024 divided by -1 -89024 118145 divided by 1 118145 Divide 179 by -409. -179/409 What is 965 divided by 43? 965/43 Divide 53453 by 1. 53453 Divide 187839 by -5. -187839/5 Divide -22008 by -168. 131 Calculate 32769 divided by -3. -10923 Divide -2 by -61620. 1/30810 1126060 divided by -710 -1586 374 divided by 188 187/94 Calculate 762 divided by -374. -381/187 What is -161427 divided by -2? 161427/2 Calculate -2311608 divided by -3224. 717 11 divided by -17118 -11/17118 Calculate -504 divided by -22. 252/11 Divide -94 by -955. 94/955 What is 26190 divided by 13095? 2 558975 divided by 7453 75 What is -97718 divided by -48859? 2 596 divided by 730 298/365 Divide 26310 by 6. 4385 What is 1584504 divided by -24? -66021 Divide -1825920 by 3804. -480 Calculate -117 divided by 7067. -117/7067 Divide 62430 by -20810. -3 Calculate -96 divided by -2622. 16/437 Divide 581908 by -4. -145477 1825 divided by -468 -1825/468 -150463 divided by 5 -150463/5 Divide 4230350 by -169214. -25 Calculate 305901 divided by -41. -7461 What is -21828 divided by -4? 5457 What is -987252 divided by -42924? 23 4414288 divided by 6 2207144/3 Calculate 2122616 divided by 4. 530654 400960 divided by 5728 70 What is 3564204 divided by -254586? -14 Divide -2 by -14387. 2/14387 Divide 2232554 by 6. 1116277/3 Calculate 25480 divided by -6370. -4 What is -244034 divided by 5? -244034/5 Calculate 253492 divided by 998. 254 Divide -297 by -345. 99/115 2736184 divided by -1496 -1829 129801 divided by 129801 1 What is -910 divided by -91? 10 What is 321987 divided by -87? -3701 Divide 4023816 by 6. 670636 Divide 6 by 36258. 1/6043 Divide -7252 by 736. -1813/184 Divide -1 by -1739702. 1/1739702 -325466 divided by -6 162733/3 What is -390 divided by -2184? 5/28 What is -12 divided by -19035? 4/6345 Divide 426 by -4799. -426/4799 631236 divided by -7698 -82 Divide 98572 by 2594. 38 What is -2620 divided by -294? 1310/147 Divide -13959 by 11. -1269 295840 divided by 688 430 Divide 252810 by 8. 126405/4 -29224 divided by 13 -2248 What is -106470 divided by -35490? 3 Calculate -5 divided by -52417. 5/52417 Divide -14 by -30314. 7/15157 Divide -9973 by 16. -9973/16 Divide -65406 by 66. -991 Divide 12 by 1541. 12/1541 What is 12518 divided by 1? 12518 -6 divided by -270960 1/45160 Divide 4695 by 121. 4695/121 18 divided by 6931 18/6931 40 divided by 19110 4/1911 -73766 divided by 22 -3353 Divide -224 by 34. -112/17 Divide -45916 by -5. 45916/5 Calculate 3 divided by -3668. -3/3668 What is 163398 divided by -482? -339 What is 62 divided by 2674? 31/1337 Divide -8139612 by -4. 2034903 6634955 divided by -1326991 -5 What is 2098300 divided by 4? 524575 Calculate -258 divided by 1974. -43/329 Calculate -115 divided by -1295. 23/259 Divide -672334 by -51718. 13 43776 divided by 48 912 What is 6 divided by 702? 1/117 Divide -66170 by -66170. 1 55138 divided by -2902 -19 Divide 189833 by 577. 329 What is 39440 divided by 2? 19720 What is 504 divided by -42? -12 Calculate 321629 divided by -321629. -1 What is 0 divided by -3857? 0 Calculate 0 divided by 86384. 0 Divide -344337 by -133. 2589 Divide 129558 by -11778. -11 -55 divided by 425 -11/85 636675 divided by -75 -8489 What is -54 divided by 14159? -54/14159 Divide 300774 by -3. -100258 What is -2 divided by 2528? -1/1264 What is -484158 divided by -114? 4247 What is 4278 divided by 8? 2139/4 Calculate 263 divided by -21. -263/21 44156 divided by -133 -332 Calculate -31098 divided by 10366. -3 1534164 divided by -6 -255694 -76251 divided by 76251 -1 Calculate 656430 divided by 21881. 30 Divide 3 by 1511. 3/1511 567792 divided by -141948 -4 Calculate 11 divided by -2666. -11/2666 What is 79635 divided by 15927? 5 Calculate -15 divided by 2660. -3/532 What is 2929 divided by -59? -2929/59 Calculate -9007 divided by 9007. -1 Divide -61312 by -7664. 8 Divide -262904 by 59. -4456 What is -1083808 divided by -352? 3079 Calculate 6754 divided by 4. 3377/2 Calculate -1 divided by -53010. 1/53010 458060 divided by -1238 -370 6 divided by 32578 3/16289 19 divided by 1221 19/1221 What is -43432 divided by -10858? 4 What is -36418 divided by 36418? -1 What is 0 divided by -46433? 0 What is 2795 divided by 43? 65 Divide 13508 by 44. 307 314776 divided by -44968 -7 11310 divided by -6 -1885 -30732 divided by 7683 -4 3170 divided by -634 -5 Calculate 1590 divided by 16. 795/8 Calculate 68000 divided by -7. -68000/7 What is -1250 divided by 179? -1250/179 Divide -10311 by -34. 10311/34 Divide -1 by -58074. 1/58074 Divide -8944 by 8. -1118 Calculate 9 divided by 555. 3/185 Divide 57252 by -12. -4771 Divide -56988 by 4749. -12 Calculate -1056 divided by 3. -352 -192048 divided by -16 12003 Divide -4885535 by -977107. 5 What is 1170 divided by -370? -117/37 -254 divided by -386 127/193 Divide -8724 by -8724. 1 -2566932 divided by -2 1283466 -1 divided by 187552 -1/187552 What is 13587 divided by -10? -13587/10 Calculate 106332 divided by -12. -8861 Calculate -597923 divided by -3. 597923/3 Calculate -153 divided by -759. 51/253 What is 4 divided by -29000? -1/7250 Calculate 1192 divided by -2. -596 Calculate -5 divided by -63426. 5/63426 -28 divided by 2324 -1/83 Calculate -51702 divided by -14. 3693 -32224 divided by -53 608 4 divided by -9086 -2/4543 Divide -37 by -22690. 37/22690 What is 5781 divided by -3? -1927 What is -133692 divided by -1? 133692 Calculate -773667 divided by -16461. 47 Calculate -157619 divided by 161. -979 Divide 37200 by 5. 7440 What is 5 divided by 421048? 5/421048 727650 divided by 2205 330 What is 24352 divided by 12176? 2 Calculate 493580 divided by 37. 13340 Calculate -416976 divided by -6132. 68 What is -63500 divided by 1? -63500 Divide -47967 by 813. -59 Divide 1552 by -1. -1552 -915436 divided by -228859 4 16912 divided by -4228 -4 Divide -498991 by 6. -498991/6 Divide -3 by -9720. 1/3240 Calculate -935132 divided by 4. -233783 What is 423 divided by -232? -423/232 Divide 374323 by 2. 374323/2 1821141 divided by -633 -2877 Divide 6804480 by -640. -10632 -35452 divi
{ "pile_set_name": "DM Mathematics" }
is smaller: k or s? s Suppose -h + 16 = 3*g - 55, 25 = g + h. Are g and -49 unequal? True Let v = 28510 - 27400. Which is greater: v or -1? v Suppose -j - 1187*w + 1183*w = 1633, 0 = -w - 3. Which is smaller: j or -1622? -1622 Suppose 29*l - 3 = 26*l. Let q = 3327944/99 + -33615. Let u = 9/11 - q. Which is smaller: l or u? u Suppose -3*z = 2*q - 5770, -40*q + 42*q + 5774 = 3*z. Which is smaller: 1920 or z? 1920 Let z be (-16797)/(-748) + -17 - 5. Is 0 < z? True Let u = -27.89 - 18.73. Let s = -0.38 + u. Let b = s + 57. Which is greater: b or 3? b Suppose -4*x = -d - 1, 3*d + d = -3*x + 91. Suppose 5*i + 4*o = 504, -295 = -3*i + o + 4*o. Suppose -w + i = 4*w. Which is bigger: w or d? w Suppose 5*s = -j - 1275, -2*j - 4*s - 2957 = -419. Is -1265 bigger than j? False Let y be (-3)/((-3)/((-12)/(-22)) - -4). Suppose -y*d = 3*a - 7, 0 = 5*a - a + 2*d - 6. Which is greater: a or -10? a Let q = -586 + 486. Let h(g) = -7*g**2 + 4*g - 5. Let r be h(4). Which is greater: q or r? q Let l be ((-12)/(-56))/((-10)/(-1380)). Is 30 >= l? True Let s be 4/(-2) + (75 - 2) - -2. Let x = -83 + s. Let t be (-2 - x - 76) + 3/(-1). Which is bigger: t or -72? t Let y(q) be the second derivative of -q**3/6 - 3*q**2 + 11*q. Let k be y(-8). Let u(g) = -g**3 + 3*g**2 - g. Let a be u(k). Are a and 1 unequal? True Let x = 538.9 + -452.9. Let v = -840 + 754.1. Let f = v + x. Which is smaller: 30 or f? f Let o = -15.79 + 15.5. Let g = o - -0.29. Which is bigger: g or 80? 80 Suppose 0 = -6*h + 7*h - 2*m - 6, -2*h + 10 = -3*m. Let r be (6 - 3)/1 + (0 - h). Which is greater: r or 6/17? r Suppose 13*s = 2*s. Let q be s*6/(-90)*5. Which is smaller: -8/95 or q? -8/95 Let n = 16 + -24. Let y be (-144)/n*3/6. Let r be y/15 + (-756)/35. Is -21 at least r? True Let l be (-38)/24 - (0 + -2). Let w = -39 - -39. Which is smaller: l or w? w Suppose 2935*d = 3884*d - 91104. Let w = -7 - -106. Is w less than d? False Suppose 138*c - 205 = -67*c. Is 35/32 equal to c? False Let n be 2/(-11) + (10237/1595 - 6). Is 1 less than n? False Let c(u) = 9*u**2 - 282*u + 27. Let g be c(28). Is -813 not equal to g? False Suppose 6*o = 43 - 163. Let g = 0.039 + -0.003. Let h = g + 0.164. Which is greater: h or o? h Let f = -338 - -480. Let a = -134 + f. Which is bigger: a or 13? 13 Let x = -205/38 + 18011/190. Let s = -124271/1390 + x. Which is smaller: 1 or s? s Let m be (2 - 15/6)/(2/(-40)). Suppose -m*s = -26 + 96. Do -1/13 and s have the same value? False Suppose 0 = 4*k - 2*c - 932, 4*c + 159 + 1009 = 5*k. Let q = 368 - k. Which is greater: 137 or q? 137 Let d = -28/51 + -2/17. Let y = 13.5 - 14. Let l = 10.5 + y. Which is greater: l or d? l Let b = -250 + 456. Let c = 298 - b. Which is smaller: 90 or c? 90 Suppose -2*z = 31 + 87. Let d = 1521 + -1377. Suppose 0 = -145*a + d*a - 4, -4*t = 3*a + 248. Are t and z nonequal? False Let x(m) = 41*m**3 + 2*m**2 - 6. Let h be x(2). Suppose w - 20 + 15 = 0, 5*w = -5*t + h. Is 60 less than or equal to t? True Suppose -4*o + 24 + 16 = 0. Let z = 4 + o. Suppose 6*p - z - 70 = 0. Is 14 smaller than p? False Suppose 3796 + 464 = 15*c. Let u = -268 + c. Suppose j + j = 34. Is u <= j? True Suppose -146 = 466*x - 612*x. Which is bigger: x or 5/1594? x Let y(u) = -3*u + 47. Let m be y(13). Suppose 0 = -4*x - 4*c + m, -8*x = -7*x - 2*c - 8. Which is smaller: 6 or x? x Let k(l) = l**3 + 6*l**2 + 5*l - 1. Let b = 31 + -27. Let g be b*4/12*-3. Let o be k(g). Is 11 bigger than o? False Suppose -8 = -5*q - 3*g + 2*g, 5*q + 3*g - 4 = 0. Let z(y) = -4*y + 1. Let r be z(q). Let v(l) = -339*l - 1016. Let s be v(-3). Is s < r? False Let z(w) = 1. Let v(t) = 8*t - 38. Let d(h) = -2*v(h) + 2*z(h). Let q be d(5). Which is bigger: q or -16? q Let h = -1048 - 169. Is h > -1217? False Let s be 732/(-610) + (-2006)/20. Which is smaller: -101 or s? s Suppose -48 = -3*j - j. Suppose 93 = 21*f - j. Suppose -32 = -s - s - 5*p, -f*p - 34 = -4*s. Which is smaller: s or 12? s Let n be ((-70985)/2955)/(39/9). Let i = n + 72/13. Suppose -11*m - 19*m = 2*m - 32. Is m less than i? False Let g = 2 - -16. Let x be (-27)/g*(-1 + -5). Suppose 0 = -x*a + 4*a + 25. Do a and 3 have the same value? False Suppose -16*g - 13604 = -54*g. Let m = g + -231. Which is smaller: m or 126? 126 Let y = 273 + -255. Let a = -5 + y. Let v = 0.3 + -0.5. Is a equal to v? False Let b be 5/(6*2/3) - (-1317344)/(-896). Is -2/9 at most b? False Suppose 458 - 88 = 5*n. Let b be (-3010)/130 - (n/26 + -3). Does -23 = b? True Let x = 1287418592/9791 - 131490. Which is smaller: 1 or x? x Let i be 138/4*(-135454)/1551. Which is smaller: i or -3018? -3018 Let w(d) = 2*d**2 - 101*d - 148. Let v be w(51). Let c = v - -159. Is c at least as big as 58? True Suppose 51 = -4*p - 9. Let d = p + 15. Let u be ((-10)/17)/(d + -1). Which is greater: 1 or u? 1 Let y(l) = 31*l + 1066. Let s be y(-18). Which is greater: 510 or s? 510 Let c = 161 + -193. Let p = 15 - -9. Let w = p + -57. Which is smaller: c or w? w Let h = 4.1 + -3.1. Let x = h + -0.9. Let n = 0.51 - 0.01. Is x less than n? True Let m(r) = r**3 + 8*r**2 + 5*r - 10. Let s be m(-7). Suppose 2*d + 7 + 1 = -4*b, 3*d = -s*b - 4. Let i be b/(-3*3/45). Is i > 20? False Suppose -42*n + 95 = 53. Which is bigger: 3/661 or n? n Let s = 25 + -17. Suppose -23 = 5*x - m, -2*x - 3*m = -5*x - 9. Let k be (-136)/(-12) + 3 + x. Which is smaller: s or k? s Let z be (51/(-954975))/(5/(-7)). Which is bigger: z or 1? 1 Let s(v) = -8*v + 1. Let i be s(1). Let y = -398 - -412. Suppose 5*n - 4*r + y = 0, -r - 4*r - 2 = -3*n. Is n smaller than i? False Let i = 25 - 48. Let m be (8/(-6))/((200/4875)/((-4)/(-5))). Is i <= m? False Let g = -3004.4 - -3006. Is 106 greater than g? True Suppose 17*b - 2400 - 1986 = 0. Which is greater: 3350/13 or b? b Let y be 1335/10591 + (-3)/21. Are y and 9 equal? False Let k(t) = -t**2 - 16*t - 5. Let f be k(-2). Suppose -6*n = -f + 1373. Which is greater: -224 or n? -224 Let j = -4 + 6. Let s be 0/2*j/(-4). Let p = -42.274 + -0.726. Which is greater: s or p? s Let m = -1364 - -2155. Let j = m - 790.87. Let l = -1.98 + -0.02. Do j and l have the same value? False Let k be 7 + -3 - (2 + (-45)/(-27)). Is 215 at least as big as k? True Suppose -5*x - 104 = -4*b, -x - 12 = -4*b + 12. Let g(u) = 2*u. Let d(q) = 7*q + 35. Let w(o) = -d(o) + 3*g(o). Let a be w(x). Which is greater: -16 or a? a Let z = 228/5 + -229/5. Let v be (-10)/6 - -1*2. Let q = z + v. Is q less than or equal to -1? False Suppose 0 = 98*l - 54*l - 352. Let z(n) = -4*n + 16. Let m be z(4). Which is greater: m or l? l Let t(b) = 2*b**2 - 17*b - 12. Let z be t(9). Let o be (z + 5 - 0) + -1. Is 41 at least o? True Let i be (-2675)/(-1284) - (-6)/(-8). Let j = 105 + -125. Which is greater: j or i? i Let p(w) = 51*w + 4. Let h(n) = -52*n - 5. Let a(s) = 4*h(s) + 3*p(s). Let d be a(8). Let r = 20162/45 + d. Which is greater: 0 or r? r Suppose -a = -0*a. Let b = 1691 - 15667/9. Let l = b + 4381/90. Is l smaller than a? True Let r = 630 + -590. Let q = -844.1 + 884. Let w = r - q. Which is bigger: -0.47 or w? w Let n(p) = -32*p + 6*p**2 + 30*p + p**3 - 5 + 5 - 12. Let x be n(-6). Which is bigger: -4/25 or x? x Let o be ((-10800)/(-1296))/(8/74*-1). Which is smaller: -76 or o? o Suppose 14*q + 22230 = -8024. Are -2161 and q nonequal? False Let m be -1651*1/(-5) - (-31)/(-155). Suppose -18*p + 7*p = -m. Which is bigger: 27 or p? p Suppose -10 + 1 = z - 3*p, 2*z - 5*p = -19. Let i be (-1 + 3)*z/(-8). Let g = -483 + 485. Is g equal to i? False Let k = -8634/29 - -34275/116. Let v(y) = y + 7. Let x be v(0). Suppose 0 = -t + 4*l + 11, -3*l - 5 - x = 3*t. Which is greater: t or k? t Let z = -26310 + 28381. Is z at most 2073? True Let k be (-3)/6 - (-155)/10. Suppose 16*x = k*x + 22. Suppose -88 + x = -11*i. Which is smaller: i or 5? 5 Let f = -95 - -88.7. Let j = f + 38.3. Let s = j + -31.89. Is s greater than -1? True Suppose 26*d = 11699 - 409 - 85676. Is -2862 equal to d? False Let s(o) = -11*o - 489. Let k be s(-23). Which is bigger: k or -234? -234 Let c(a) = -10*a - 68. Let b be c(-10). Suppose 5*x = -47 + b. Is 39 at most as big as x? False Let h be -2*((-105)/(-10) - (9 + -5)). Let a = -351/4 - -90. Which is bigger: a or h? a Let i be (-1)/(-5)*(2100/(-1071) + 2). Is 1 >= i? True Suppose -5*h + s = -17, -3*h + 1
{ "pile_set_name": "DM Mathematics" }
**2 - 2*b + 1 Expand (78 + 44 - 11)*(4*j**2 - 4*j**2 + 2*j**3). 222*j**3 Expand 3*g + 0*g - 2*g + (g + 1 - 1)*(-2 + 6 - 2)*(25 - 8 + 26 + 0 + 0 + 1 + (2 - 4 + 4)*(0 - 1 + 3) + 1 + 3 - 2). 101*g Expand (-2*s + 0 + 0)*(s + 0*s - 5*s)*(-2 - 2 + 2). -16*s**2 Expand (4*s + 2*s - 4*s)*(-s + 1 - 1 + (0 - 4 + 2)*(3*s - 3*s + s) - 31*s - 24*s + 18*s). -80*s**2 Expand (4 - 1 - 4)*((-3*y - 2*y + 6*y)*(2 + 0 - 3) + 2*y + 1 - 1 + 16*y + 14*y - 2 + 6*y + (-3 + 2 + 2)*(2*y + y - y)). -39*y + 2 Expand 3*f - 2*f**2 - 3*f + 3*f**2 - 1 + 1 + (2 - 3 + 5)*(2*f**2 - 2 + 2) + f**2 - f**2 + 4*f**2. 13*f**2 Expand (4*z - 7 + 7)*(24 - 74 - 90). -560*z Expand (-2*x + 1 + 0*x + 3*x)*(1 - 1 - 4*x**2) + 2*x**3 - x**3 - 3*x**3 + (x**2 + 1 - 1)*(0*x - 2*x + 0*x) + 27*x**3 - 3*x**3 - 5*x**3. 11*x**3 - 4*x**2 Expand (-1 + 2*l + 1)*(0*l + 0*l - l) - 11 - 34632*l**2 + 69266*l**2 - 34636*l**2 + 175*l. -4*l**2 + 175*l - 11 Expand (5*m**4 + 35*m**2 + 0*m**4 - 38*m**2 - 2*m**3)*(-3 - m + 3). -5*m**5 + 2*m**4 + 3*m**3 Expand (0 - 1 - 1)*(-m**5 + 0*m**5 + 2*m**5 + (-74*m + 18*m**2 + 74*m)*(3*m + 3*m**3 - 3*m) + m - 2*m**5 - m). -106*m**5 Expand (2*s - 1 - 2 + 6)*(-42*s**2 - 43*s**2 + 167*s**2). 164*s**3 + 246*s**2 Expand -2*i**4 + i - i + (-2 + 2 - 2)*(20 + 2 + 5)*(-2*i**2 + 5*i**2 + 3*i**2)*(3*i**2 + i**2 - 3*i**2). -326*i**4 Expand (-d + 3*d + 4*d)*(-154*d**4 - 7*d + 80*d**4 + 80*d**4). 36*d**5 - 42*d**2 Expand (-33 + 78*x - 80*x + 8)*(-x - x + x). 2*x**2 + 25*x Expand 1 - f**4 - 1 + 9*f**3 - 9*f**3 - 4*f**4 + (-2*f - 1 + 1)*(4*f**3 + 3*f**3 - 5*f**3) + 9*f**4 - 35*f**4 + 16*f**4. -19*f**4 Expand (2*x - 4*x**2 + 11*x**2 + 0*x**2)*(-26*x - 209 + 209). -182*x**3 - 52*x**2 Expand 30 + t + 19 - 1 + 2*t - t - 3*t + t - 2*t + 3*t + 2*t + 2 - 2 - 3*t + 4*t + 0*t + (3*t + 5*t - 6*t)*(2 - 1 + 1) + 4*t + t - 6*t - 3*t + 3*t + 2*t. 9*t + 48 Expand (-3*t**2 + t**2 + 3*t**2)*(21*t**2 + 568 - 568) + (2*t + 5 - 4 - 3*t)*(t - t + 2*t**3) - 3*t**2 + 3*t**2 + t**4. 20*t**4 + 2*t**3 Expand (u - 4*u**2 + 3*u**2 + 3*u)*(0 - 24 - 2). 26*u**2 - 104*u Expand ((-109*d + 109*d - 32*d**2)*(4*d + d + 0*d) + 0*d**3 + 4*d**3 - 2*d**3)*(d**2 - 1 + 1). -158*d**5 Expand (-4*d**4 + 5*d**4 + 0*d**4)*(-d - 2 + 2) + 885*d**4 - 13*d**5 - 11*d**3 - 885*d**4 + 0*d + 0*d + 2*d**5. -12*d**5 - 11*d**3 Expand (2 + 1 - 2)*(2*r + 17*r - 24*r)*(-3*r**2 + 6*r**2 - 2*r**2). -5*r**3 Expand (-2 + 0 + 1)*(-1 - j + 1) + (-58 - j + 58)*(3 - 3 - 1) + 2*j + 3 - 3 + (-3*j + 2*j - j)*(-2 - 3 + 3) - j - 2*j + 0*j. 5*j Expand (6*m - m + 0*m + (0 + 1 - 3)*(-2*m - 4*m + 4*m))*(-25*m + 9*m**2 + 25*m) + (-3 + 0 + 5)*(-5*m**3 + 2*m**3 + 4*m**3). 83*m**3 Expand (-8 + 1 - 4*k + 8)*(-36 + 8 - 17). 180*k - 45 Expand (-3 + 3 + m**2)*(42 - 3*m + 5*m - 88). 2*m**3 - 46*m**2 Expand (3 - 16*m - 3)*(-2 - 1 - 3)*(6 + 0 + 3*m - 4*m). -96*m**2 + 576*m Expand (3 + 5 - 6)*(-4 + 3 + 0)*(-166*u**2 + 245*u**2 + 135*u**2). -428*u**2 Expand -3*l**5 - 3*l**5 + 5*l**5 + (-6*l**3 - 2*l**3 + l**3)*(3*l**2 + 5*l**2 - 3*l**2) + 4*l**5 + 0*l**5 - 2*l**5. -34*l**5 Expand (1 + 15*n - 1)*(-62*n - 24*n + 17*n). -1035*n**2 Expand (-60*p - 26*p**2 + 0*p**2 + 58*p)*(-p**2 + 0*p**2 + 0*p**2). 26*p**4 + 2*p**3 Expand (2*b**3 - 5*b**3 + 2*b**3)*(-55 + 11*b**2 + 55) + (6*b + 5*b**4 - 6*b)*(2*b - 1 + 1) + (2 + 0 + 0)*(-2*b**5 + 4*b**5 + 0*b**5). 3*b**5 Expand 21*d - 12*d + 69*d + (-1 + 1 - 2)*(7*d + 3 - 3). 64*d Expand (1 + 4*s**3 - 1 + (2*s - 2 + 2)*(0*s**2 - 3*s**2 + 2*s**2))*(-17*s + 36*s + 36*s). 110*s**4 Expand (-2*o + 2 - 2)*(-o**2 - o**2 + o**2) + o**3 - o + o + o**3 - 3*o**3 + 3*o**3 + 29*o**3 - 84*o**3 + 286*o**3. 235*o**3 Expand -2*j**2 - 4*j + j + j**2 + (-7*j - 8*j + 5*j)*(9*j + 2*j + 4*j). -151*j**2 - 3*j Expand (-4 + 2*h + h**2 + 4*h**2 - 2*h**2)*(-h + 4*h - h)*(-2 - 3 - 2). -42*h**3 - 28*h**2 + 56*h Expand (5 - 5 + q**3)*(-3*q - 2 - 9 + 3) + 6*q**4 - 11*q**4 - 12*q**4. -20*q**4 - 8*q**3 Expand (0*n - 2*n + 8*n)*(-22*n**2 - 16*n**2 - 5*n**2 - 4*n**2 - n**2 + 3*n**2 + (-2*n + 1 - 1)*(n - n + n) - n**2 + 0*n**2 + 2*n**2). -276*n**3 Expand (15*i - 38*i - 37*i + 10*i)*(i**3 + 26 - 26 - 26*i**2). -50*i**4 + 1300*i**3 Expand (124*v**2 - 291*v**2 - 497*v**2)*(0 + 1 + 1)*(4*v**3 - 5*v**3 - v**3). 2656*v**5 Expand -5*j**4 - 654 + 19*j**4 + 652 + 2*j**4 + 0*j + 0*j + (j + j - 4*j)*(4 - 4 + 2*j**3) + (0 + 0 - 2*j**2)*(j**2 + j - j). 10*j**4 - 2 Expand (2 + 3 - 6)*(u - 3*u - 8*u) + (2*u + 0*u - 4*u)*(2 - 1 + 0) + u + 0*u - 3*u + 2*u - 6*u + u. 3*u Expand (-d + 0*d + 5*d)*(2 + d - 2)*(-3 + 0 + 4) + (-3 + 3 - 2)*(4*d**2 - 3*d**2 - 6*d**2). 14*d**2 Expand (-5*z - 2*z + 4*z)*(0 + 1 + 3)*(16 + 9*z - 16). -108*z**2 Expand (-15 + 266*v + 21 - 6)*(0 + 0 - 2*v). -532*v**2 Expand 3*d - 5*d - 3 - d**4 + 1 + 0*d**4 - 2*d**4 + d**4 + (-2*d + 8*d - 3*d)*(-8 + 12*d**3 + 8). 34*d**4 - 2*d - 2 Expand (-670 - 461*s + 670)*(-4 + 3 + 3)*(-2*s**3 + s**3 + 2*s**3). -922*s**4 Expand (9 - 9 - 17)*(w - 4 + 3 + 2)*(3*w - w + 3*w)*(0*w**2 + 3*w**2 - 2*w**2). -85*w**4 - 85*w**3 Expand -85*j - 26 + 166*j - 83*j + (2*j - 4*j + 4*j)*(-1 + 2 - 3). -6*j - 26 Expand (298*a**2 - 64*a**2 + 0*a**2)*(-4*a + 4*a + a)*(1 - 1 - 1). -234*a**3 Expand (-o - 2*o - 43*o)*(0*o + 5*o - 4*o). -46*o**2 Expand (5*w**2 - 4*w**2 - 3*w**2)*(-3*w**3 + 3*w**3 - w**3) + 121580*w**3 - 3*w**5 - 121580*w**3 + 7*w**4. -w**5 + 7*w**4 Expand -1 + 1 - 2*a**4 + (-2*a + 3*a - 2*a)*(-6*a**3 + 4*a**3 + 3*a**3) - 347*a**3 - a**2 + 347*a**3 - 30*a**4. -33*a**4 - a**2 Expand (3 + 3 + 2)*(5 + 0 - 2)*(2*o**2 + 2*o**2 - o**2). 72*o**2 Expand (4*s**2 - 6*s**2 + s**2 + (11 - 6*s - 11)*(-3 + 2 - 1)*(-2*s + 0*s + 4*s))*(9 - 9 + 8*s). 184*s**3 Expand (-3 + 1 - 1 + (3 - 6 + 1)*(-3 + 1 + 3) + 4 - 2 - 1)*(18 + 14*l - 18). -56*l Expand (-4 + 2*w + 4)*((-1 - 7 + 7)*(-12 + 10 - 4*w + w) - 2 + 2 + 2*w + (0 - 1 + 2)*(5*w - 2*w - 4*w)). 8*w**2 + 4*w Expand -10*z + 3908 + 63*z**2 + 14*z - 3906 + (4 - 4 + 2*z)*(0*z + 2*z - z). 65*z**2 + 4*z + 2 Expand (-40 + 11*f + 37 + 40*f)*(f**2 - f**2 + f**2). 51*f**3 - 3*f**2 Expand -2*d**5 + 0*d**4 + 0*d**4 + (0*d**4 + 0*d**4 - 2*d**4)*(3*d - 3*d - 2*d) + d**5 + 0*d**2 + 0*d**2 + (4*d**2 - 4*d**2 - 3*d**5)*(33 - 21 - 25). 42*d**5 Expand (2*o - o + 0*o)*(66*o**2 + 82*o**2 - 116*o**2 - 11*o**3). -11*o**4 + 32*o**3 Expand -29 + 34 - 3*p**3 + 18*p**3 + (-2*p**3 + 2*p**3 + p**3)*(5 + 1 - 4). 17*p**3 + 5 Expand -r**2 - 2*r**2 - 7*r**2 + (-2 - r + 2)*(1 + 3*r - 1) - 2 + 2*r**2 + 2. -11*r**2 Expand (3 - 2*s - 3)*(-2*s + 2*s + 2*s) + 1 - 1 - 2*s**2 + (4 - 5 + 2)*(-3*s**2 + s**2 + s**2) + 3*s**2 + 13*s**2 - 4*s**2. 5*s**2 Expand (-4*k - 9 + 12 + 1)*(-4 + 8 + 1)*(0 - 1 - 1). 40*k - 40 Expand (32 - 32 - 12*i)*(-1 - 1 - 1)*(6*i**2 - 5*i**2 + i**2). 72*i**3 Expand -2*m**5 - 2*m**4 + 9*m**4 + 3*m**5 - 8*m**5 + 3*m**3 - 3*m**3 + (0*m**3 + m**3 - 2*m**3)*(6*m**2 - m**2 - 3*m**2). -9*m**5 + 7*m**4 Expand 14*a**4 - 44*a**4 - 25*a**4 + (-2*a**3 + 3*a**2 - 3*a**2)*(0*a + 2*a - a). -57*a**4 Expand (-159 + 97 + 85)*(n + n + 0*n + (-n + n - 2*n)*(2 - 3 + 2) + n + 2*n + 0*n + 3*n + 3*n - 5*n). 92*n Expand (-21*j - 3*j - 2*j)*(-3 + 6 + 0)*(-9*j**2 - 8*j**2 + 8*j**2). 702*j**3 Expand (2 + 3 - 1)*(0 - w + 0 + 0 - 2*w + 0 + (-3 + 3 + 1)*(-4*w + 5*w - 3*w) + 5 - 34 - w + 1). -24*w - 112 Expand 29 - 29 - 2*i**2 + (21 + 25*i - 21)*(0*i + 4*i - 3*i). 23*i**2 Expand 7*f**2 - 4*f**5 - 7*f**2 + (506 - 506 - 36*f**4)*(4*f + 3*f - 6*f) + (-2 + 0 + 1)*(3*f**5 + 2*f**5 - 6*f**5). -39*f**5 Expand (3 - 2*m - 3)*(-m**2 - 2*m**2 + m**2) - 3 + 3*m**3 + 3 + (1 - 1 - 4*m)*(m**2 - m**2 - m**2) + 5*m**3 - 3*m**3 + 0*m**3. 13*m**3 Expand (104*n**4 + 106*n**4 - 212*n**4)*(0 + 2 - 3)*(5 + 1 - 1). 10*n**4 Expand (1 - 1 + y)*(2 - y - 2) - 7*y**2 + y**2 + 3*y**2 + 17*y + 16*y - 24*y + y**2 + 3*y**2 - 3*y**2 - 2*y**2. -5*y**2 + 9*y Expand 3*z**2 - 5*z - 882 + 882 + z**2 + z**2 - 3*z**2 + (5*z - z - 8*z)*(-2*z - 4 + 4). 10*z**2 - 5*z Expand (-3*j + 361 + 2*j - 339)*(-1 + 3 - 1 - j). j**2 - 23*j + 22 Expand (3*d**2 + 2*d**2 - 4*d**2)*((d**2 - 5*d**2 - 2*d**2)*(-4*d + 4*d - d) - 3*d**3 + 4*d**3 + 0*d**3). 7*d**5 Expand (-35 - 102*o**3 + 35 + o**2)*(0 - o + 0). 102*o**4 - o**3 Expand w - w + w + (0*w + 2*w + 0*w)*(0 - 2 + 3) + 8*w - 34 - 23*w + 18*w. 6*w - 34 Expand (6*j - 4*j + 8*j)*(-4*j**3 - 32*j + 32*j). -40*j**4 Expand -3*t**4 + 2*t**4 - t**4 + (3*t**4 - 2*t**4 + 0*t**4)*(0 + 1 -
{ "pile_set_name": "DM Mathematics" }
m l + w*q**2 + h*q**3 + k*q and give h. -1 Rearrange -3*o + 13 - 4630*o**3 + 2318*o**3 + 17 + 7 + 2320*o**3 to j*o + b*o**2 + n*o**3 + t and give t. 37 Express -18 - 10 - 3*y**2 + 4*y**4 - 2*y**3 - 3*y + 37 - 11 as z*y**4 + s*y**2 + w + c*y**3 + d*y and give c. -2 Rearrange 927*h**2 + 1392*h**2 + 956*h**2 - 239*h**2 to the form p + k*h**2 + c*h and give k. 3036 Express 14*t**2 - 18 + 28*t**2 + 803*t - 40*t**2 + 17 as m*t**2 + h*t + v and give v. -1 Rearrange 4*w + 8*w**2 + 8 - 2*w + 4*w - 4*w**3 + 2*w**2 - 8*w to the form d*w**2 + b*w + t*w**3 + l and give l. 8 Express (95*n - 246*n - 229*n)*(1 - 2 + 3)*(-23 - 61 - 22) as o*n + x and give o. 80560 Express 5 + 37*p - 425*p + 304*p in the form u*p + o and give o. 5 Rearrange 189*u**3 - 426*u - 4 - 436*u + 6*u**2 + 861*u - 4*u**2 to the form f*u + k + y*u**2 + n*u**3 and give k. -4 Express (-1 + 1 - 2*v)*(8446 - 13765 + 7515) - 1 + v + 1 as w*v + o and give w. -4391 Express (-4*b - b + 3*b)*(-369 + 367 - 35*b + 119*b) - 12*b**2 - 21 + 21 as s + l*b**2 + n*b and give n. 4 Express 830*u**2 - 17*u + 4 - 1647*u**2 + 828*u**2 + (-u - 2*u + 2*u)*(0*u + 4*u + u) as t*u**2 + y*u + x and give y. -17 Express 3*k**4 + 66301*k**3 - 7*k**2 - k + k**4 - 66321*k**3 as n*k**3 + f*k**4 + p*k**2 + o*k + u and give f. 4 Express -4*n + 4*n + 123*n**3 - 425*n**2 + 214*n**2 + 221*n**2 in the form f*n + p*n**2 + b + j*n**3 and give p. 10 Rearrange (10*j - 10*j + 15*j**2)*(343*j + 112*j + 80*j) to the form v*j + q*j**2 + u + b*j**3 and give b. 8025 Rearrange 0*o**2 + o**3 + 4*o**2 - 29 - 8*o**2 + 118*o + 28 to z + i*o**3 + j*o + u*o**2 and give j. 118 Express 87 + 13109*j - 21 - 20 - 46 as d + y*j and give y. 13109 Express (2*y - y - 2*y)*(y - 3*y + 3*y) + (-198491*y + 3 - 92 + 198483*y)*(9 + 5*y - 28 - 6*y) as p*y**2 + l*y + k and give p. 7 Rearrange (-55 + 17*n + 55)*((1 + 0 + 0)*(-3 + 1 + 3) - 2 - 3 + 3 - 10 - 15 + 11) to the form r*n + x and give x. 0 Rearrange h**3 + 3851789*h**4 - 3851786*h**4 - 3*h - 6*h**2 + 2*h to i*h**3 + d*h**4 + m*h + f + n*h**2 and give m. -1 Express 691 - 3*b**3 + 63*b**2 - 51*b**2 - 10*b**2 as u*b**2 + c + j*b**3 + t*b and give u. 2 Rearrange 2 - 1395*h**3 + 47 - 1565*h**3 - 93 + 41 to the form n*h**2 + y*h**3 + t*h + b and give b. -3 Express 608 - 312 + q + 263*q**2 - 294 as v + f*q**2 + a*q and give f. 263 Express -1 + 9314*a - 1828*a + 2503*a - 1 + 2332*a as y + v*a and give y. -2 Rearrange 5666*o + 2831*o - 5358*o + 8371*o to the form j*o + c and give j. 11510 Rearrange (x - x - x**2)*(-11950*x - 17827*x + 21760*x - 27444*x - 26404*x - 9658*x) to the form o*x**3 + h*x**2 + y + m*x and give o. 71523 Express -6*r**2 + 6*r - 4*r - 23*r**2 + 31*r**2 - r**3 + 63 - r**4 as m*r**3 + z*r**4 + p*r**2 + k*r + b and give m. -1 Rearrange 1 - 1 + 1537*j - 1537*j + 624*j**2 to the form i*j**2 + d*j + r and give i. 624 Rearrange (12*o**2 + 27*o**2 + 8*o**2)*(-3 + o**2 + 3) + 17*o**4 + 3*o**4 + 6*o**4 to the form f*o**4 + j*o**3 + c*o**2 + s + v*o and give f. 73 Express 1976*m + 88*m + 1149*m + 1103*m in the form x*m + i and give x. 4316 Rearrange -343*y + 1487 + 3365*y - 1485 to v + d*y and give d. 3022 Rearrange q - 5*q - 233*q**3 + 232*q**3 + 2*q**4 + 32*q**2 + 2*q + 7*q to v + t*q**3 + z*q + u*q**2 + i*q**4 and give u. 32 Express 356 + 5*s**2 + 9*s**2 - s + 14*s**2 - 226*s**2 + 199*s**2 in the form c*s**2 + u*s + n and give n. 356 Express (-4*b + 4*b + 2*b)*(-7 - 5 + 4)*((1 - 4 + 1)*(-4 + 2 + 8) + 1 + 2 - 2)*(3 - 4 + 0) in the form c + u*b and give u. -176 Rearrange -124*z**3 + 258*z + 256*z**3 + 693*z - 130*z**3 to the form v*z**3 + g*z + a*z**2 + p and give g. 951 Rearrange -2192*k + 316 - 687*k - 316 to c*k + q and give c. -2879 Express -70 - 14*b**2 - 9 - b**3 - 4*b - 14 + 97 in the form c*b + s*b**3 + t*b**2 + q and give q. 4 Express -3*f**2 + 109349765 - 109349766 - 99*f - 14*f + 12*f**2 as u*f**2 + v*f + i and give v. -113 Rearrange -44*f + 1 + 10*f + 34*f - 447*f**2 to the form k + r*f**2 + i*f and give k. 1 Rearrange (99 + 94 - 32)*(5 + 4*w - 5*w - w)*(-2 + 4 + 0) - 3*w + 2*w - w to t + g*w and give t. 1610 Express (-15*w - 19*w - 78*w)*(22 - 16 + 77 + 16) in the form f + a*w and give a. -11088 Rearrange -55*c**4 + 30 - 28 + 2*c**3 + 11*c**3 + c - 12*c**3 to b*c + d*c**3 + p*c**4 + x*c**2 + n and give b. 1 Rearrange 60*r**2 + 1359*r**2 + 2114*r**2 - 667*r**2 to c*r + w + l*r**2 and give l. 2866 Rearrange -1927 - 1659*d + 1927 - 662*d to a*d + j and give j. 0 Express -2*g + 3*g**3 - 533*g**2 - 2 - 40*g**2 - 4*g**3 - 71*g**2 in the form c*g**3 + j*g**2 + x*g + l and give x. -2 Rearrange -5023111 - 33137*s + 5023111 to r*s + h and give r. -33137 Express 71*n - 63*n + 222*n - 32*n + 146*n in the form d*n + t and give d. 344 Express 382*v + 292*v + 82 - 680*v as n*v + b and give b. 82 Express 339599 - 6560*y + 25596*y - 339599 as l*y + g and give l. 19036 Express (2264 - 2*t + 482 + 546 - 529)*(-4 + 5 + t - 4) as n*t + u*t**2 + p and give p. -8289 Rearrange -838*v - 17812096 + 17812096 to w + k*v and give k. -838 Express 106*u - 55*u + 195*u - 1 + 5 - 6 as v*u + c and give c. -2 Express (-2*x + 5*x - 2*x)*(5*x - 3*x + 5*x)*(57 + 36 - 6) in the form l + f*x**2 + g*x and give f. 609 Rearrange 49*f + 19*f + 29*f + (0 + 2 - 1)*(3*f - 4*f + 2*f) + (3 + 0 - 5)*(-40*f + 38*f - 26*f) to r*f + b and give r. 154 Express -2*c**3 + 0*c**3 + 21*c - 123*c - 4574 + 4577 as q*c + b*c**2 + z*c**3 + h and give z. -2 Rearrange 387 + 49*c + 4*c**2 + 40*c - 12*c + 9*c - 388 to o*c + i*c**2 + a and give i. 4 Rearrange -2*y**2 - 43*y - y**2 + 13*y + 60*y - y**3 to the form o + l*y**2 + n*y**3 + g*y and give n. -1 Rearrange -j**2 - 26352*j**3 + 26477*j**3 + 8*j + j**2 to the form v*j**2 + p*j**3 + c*j + t and give c. 8 Express (-2 - 6 + 2*c + 4)*(-36*c**3 + 15*c**3 - 8*c**3) - 63*c + 2 + 120*c - 62*c + 6*c**4 as q*c**3 + u + v*c**4 + o*c**2 + n*c and give q. 116 Rearrange -3*v**2 + 460*v**3 - 11*v**2 - 1 + 11*v**2 + 3*v - 857*v**3 + 0 to k*v + d*v**2 + o*v**3 + c and give k. 3 Rearrange (g + 2 - 2)*(60*g**2 - 121*g**2 + 752*g**2) - g**3 + 7*g**2 - 7*g**2 to the form i + q*g**2 + f*g + l*g**3 and give l. 690 Rearrange r**3 + 1865*r - 1863*r - 210 - 2*r**2 + 24*r**4 + 210 to the form n*r + q*r**4 + g*r**2 + a + h*r**3 and give n. 2 Rearrange (65 - 65 - 11*i)*(i - i - i) - 17*i**2 + 3*i**2 + 6*i**2 - 6 to the form o*i**2 + s*i + g and give g. -6 Rearrange (-3*i**2 + 0*i**2 + 2*i**2)*(242*i - 156*i + 210*i) - i**3 - i**2 + i**2 to the form h*i**3 + t*i**2 + w + r*i and give h. -297 Express f + 9401*f**3 + 11 - 9400*f**3 + 54*f**2 - f in the form m*f**3 + c + d*f**2 + y*f and give d. 54 Express 0*q + 0*q - 4*q - 35*q + 69*q + 80*q + (-2 - 4 + 3)*(2*q - 3 + 3) as o*q + f and give o. 104 Express 19*p**2 - 88*p - 29*p + 67 + 119*p in the form b*p + c + k*p**2 and give b. 2 Rearrange -211*n**2 - n**3 + 14*n**3 + n + 110*n**2 + 3 + 102*n**2 to l*n + j*n**2 + d*n**3 + w and give d. 13 Express -433*i + 433*i + 81*i**4 + (-4 + 4 + i)*(42*i - 42*i + 17*i**3) in the form b + w*i**4 + u*i**3 + m*i + o*i**2 and give w. 98 Rearrange 1 - 195*s**3 + s**2 - 3*s + 377*s**3 - 199*s**3 to the form m*s**2 + z*s**3 + c + j*s and give z. -17 Express (v + v - 4*v + 3)*(159*v - 106*v - 96*v)*(2*v**2 + 17*v**2 + 3*v**2) in the form a + j*v + d*v**2 + y*v**3 + i*v**4 and give y. -2838 Rearrange (7*x - 11*x - 5*x)*(4*x + x - 2*x)*(-219 - 93*x + 219) to t*x**3 + o*x + m + y*x**2 and give t. 2511 Rearrange 2 - 358*k**2 - 1 + 149*k**2 + 213*k**2 - 10*k**3 + 12*k to the form g*k + z*k**3 + w + c*k**2 and give w. 1 Rearrange -z - 8519 + 8517 - z**4 + 10*z**3 + 2*z - z**2 to y*z + a + n*z**3 + l*z**4 + i*z**2 and give l. -1 Express (9*r**3 - 2*r**3 - 3*r**3)*(372 + 263 + 63) as t + q*r + w*r**2 + y*r**3 and give y. 2792 Express (-1067 - 80 + 218 + 5 - 2 - 2 + (-3 + 2 + 0)*(1 + 0 + 0))*((3 + 3 - 4)*(3*c - c - c) + 6*c - 4*c + c) in the form x*c + b and give x. -4645 Rearrange i**3 - 461*i**2 + 57*i + 472*i**2 - 104*i + 266 + 47*i to the form y*i**3 + q*i + c*i**2 + g and give g. 266 Rearrange -1226*g**2 + 899 - 901 + 1628*g**2 + 10*g to o + j*g**2 + h*g and give h. 10 Rearrange 102*u + 98*u + 50 + 106*u + 7*u**2 - 314*u - 5*u**2 to o*u**2 + q + n*u and give n. -8 Express -14 + 14 - 4*a + (62 + 281 - 526)*(4 - 4 - 1)*(-a + 2*a + a) in the form o + s*
{ "pile_set_name": "DM Mathematics" }
closest to d in a, -4, -5? -4 Let l = 10564/52545 - 11/10509. Let u be 8/(-5) + (-4)/10. Let o be 1/(u - 10/(-6)). Which is the closest to o? (a) l (b) -4/9 (c) 0 b Let y be (-57)/(-45) - (-81)/(-135). Which is the closest to 1/52? (a) y (b) 2/9 (c) -1/2 b Let p = -0.3 + 0.8. Let m = -133.677 + 129.677. Which is the closest to -2? (a) p (b) -2/9 (c) m b Let y = 1 - -1. Suppose -3*p - 5*g + 0*g + 781 = 0, -4*p = -g - 1003. Let a be 18/(-63) - 9/(p/(-16)). What is the closest to -0.05 in a, 0, y? 0 Let w = 4435 + -13307/3. Which is the closest to w? (a) -0.09 (b) -10 (c) 0.1 a Let h = 2.5 - 1.85. Let f = h - -3.35. Which is the nearest to 26? (a) -1/2 (b) -3 (c) f c Let o = 1.1 + -5.1. Let b = 0.148 + -0.288. Let x = b - 0.36. What is the closest to 0 in o, 5, x? x Let q = 18616 - 18611. What is the closest to 0 in q, -17.59, 0? 0 Let m(z) = z**3 + 12*z**2 + 13*z + 26. Let h(c) = 4*c**2 + 3*c + 3. Let g be h(-4). Let t = -66 + g. Let o be m(t). What is the closest to -2 in 11, 0.1, o? 0.1 Let g = 15.908 + -15.808. Which is the nearest to 0.1? (a) -37 (b) 1/3 (c) g c Let s = 97.6 - 98.1. What is the nearest to 2 in -5, -9/2, -4, s? s Let z be (3 + 3)/(-3) - (-6 - (-1)/(-1)). What is the nearest to 4 in -1/6, z, -0.3? z Let b be (1 + 2 - 0)*(-120)/90. What is the nearest to 0.7 in 1/16, b, -0.2? 1/16 Let j = 71.5 - 71.1. Let r = 3 + -4. Let b be r - (2 - 4)*-1. What is the nearest to 0.1 in 6/7, j, b? j Let g = -330.2 + -22.8. Let x = g - -352. Which is the nearest to x? (a) 0.4 (b) -1/15 (c) 1/8 b Let o be 4 - 1 - (-34)/(-10). Let u = -4886.5 - -4887.5. What is the nearest to o in u, -2/9, -5, -4? -2/9 Let o = 8252 - 8251. Which is the closest to -1/3? (a) 3/2 (b) o (c) -18 b Let k = -272/417 - 2/139. Let u = 934.27 - 936. Let c = 8.27 - u. What is the closest to -2 in k, c, -0.1? k Let p = -188/87 - -24/29. Let g(w) = w**2 + 2*w + 3. Let j be g(-2). Let o be (-1*(-3 + j))/2. Which is the nearest to o? (a) -2/7 (b) -9 (c) p a Suppose 3*g - 11 - 14 = 4*s, 4*g = 12. What is the closest to 88 in -1, s, -2? -1 Let w = 0.07 + 4.93. Let f = -0.06 + -0.04. Let i = -28670 + 28668. Which is the closest to -2/5? (a) f (b) w (c) i a Let b = 2295.87 + -2248. Let p = 0.13 + b. Let y = p + -48.07. What is the nearest to y in 0.5, 1, -0.1? -0.1 Let c(y) = 2*y**2 - 3*y - 4. Let k be c(-4). Let f be 0 + 4 + 0 + k. Let v be 140/f*1 + -3. What is the closest to v in 2/17, 5, 0.5? 2/17 Suppose 6*q - 15 = q. Let y(g) = 30*g**2 - 390*g - 2. Let l be y(13). Let m be (-2)/q + (l - (-10)/6). Which is the nearest to -0.5? (a) m (b) 1 (c) -3 a Let z be ((-1)/(-9))/(804/(-54) + 15). What is the closest to -0.3 in 0.1, 0, z, 5? 0 Let u = -3 - -3.5. Let w = -2 - 1. Let n be (1/5)/(54/90). Which is the closest to n? (a) -1/4 (b) w (c) u c Let m = -7415 - -7416. Which is the nearest to -0.1? (a) 1/13 (b) 5 (c) m (d) -12.8 a Let t(b) = -b**2 - 6*b + 12. Let k be t(-7). Suppose -k*o = -13 + 43. Let z be (4/o)/((-2 - -3)*3). What is the closest to -2 in 3/4, z, -5? z Let o(b) = b**3 + 3*b**2 - b. Let x be o(-2). Suppose -3*j + x*a + 12 = 3*a, -j + 4 = 2*a. What is the closest to -0.1 in 0, j, -0.9? 0 Let m = -65 - -64.008. Let n = -0.008 + m. Suppose 0*s = -3*s + 6. What is the closest to n in -2, -6/5, s? -6/5 Let l = -5045.4 - -5045. What is the nearest to -2/5 in -2, 13, l, -5? l Let g = 567 - 547.5. Let o = -24.5 + g. What is the closest to o in -4, -0.5, -5, 1/2? -5 Let f = -77.764 + 1.764. Which is the closest to -0.1? (a) -2 (b) -1 (c) f (d) 4/7 d Let n = 0.3 + -0.2. Let p be (-2)/9 + 5/36. Suppose 3*m + 12 = -2*k, 4*m + 367 = 5*k + 351. Which is the closest to n? (a) p (b) -1 (c) k c Let i = -269 - -255. Let w be (4/i)/(408/119). What is the nearest to -2/5 in 0.4, w, 25? w Suppose -493 - 327 = 5*p. Let y = -2786/17 - p. Which is the closest to -5? (a) 0.2 (b) y (c) -3 c Let r be (14/(-28))/(1/(-40)). Let o = -22 + r. Let s be 3/o*24/9. What is the nearest to 3 in -2, s, -0.4? -0.4 Let u = -2901 + 2901. Which is the nearest to -4? (a) u (b) 2/5 (c) -1/5 c Let x = -0.3 - 0.1. Let o = -167.93 + 0.93. Let l = -172 - o. Which is the nearest to -3? (a) 1 (b) x (c) l c Let x = 10554 + -10482. Which is the nearest to 6? (a) 0.4 (b) -0.4 (c) x (d) -4 a Suppose -19*i = -3*h - 23*i - 27, -h = 3*i + 14. What is the closest to -3 in -0.5, h, 7, -4? -4 Let w = -29 + 30.25. Let f = -0.25 + w. Which is the closest to f? (a) 51 (b) -0.2 (c) -0.4 b Let b be (2/72 - (-3)/12)/(1965/(-1179)). What is the nearest to 450 in -2, -5, b? b Suppose x - 3*r = 10, -5*x + r - 10 = 10. Let q = -1140 + 1139.6. Which is the nearest to 1/5? (a) x (b) q (c) -1 b Let v be (2/7)/((-6)/14). Let b = 3551.9 - 3384. Let y = -168 + b. What is the closest to y in -5, v, -0.2? -0.2 Suppose -2*g - 202 = 8. Let x be (4/(-14))/(135/g). What is the nearest to -1/4 in -1/12, x, 3? -1/12 Let l be (-18)/(-44) - 1/2. Let i = -1410 + 985. Let w = 424.9 + i. What is the closest to w in 4, 0.2, l? l Let j = -4 + 3. Let h = -2606 - -2606. Which is the closest to -1? (a) h (b) j (c) 2 b Let w = -1460 + 1456. What is the nearest to 0.1 in -3/4, -39, w? -3/4 Let x = 0.332603 + -0.532603. Let y(o) = o**2 + 7*o + 2. Let g be y(-6). Let u = -6 + 3. Which is the nearest to g? (a) 2 (b) u (c) x b Suppose -h = -0*h - 3*r - 15, 2*h = 4*r + 28. Let d be -9*(4/h - 0). Suppose -3*m + 24 = -t + 27, -4*m = -5*t - 7. What is the closest to d in 7, 2/3, t? t Let v = 3151 - 3153. Which is the closest to 2/7? (a) 0.2 (b) v (c) 20 (d) 0.3 d Let q be (-995)/(-4) - 6/(-24). Let f = q - 3235/13. Suppose 5*s - 58 + 68 = -c, -4*s + 4*c = -16. What is the nearest to s in f, 0, 5? 0 Let s = 204 - 235. Let n be (s/(-20) - 21/28)/(-2). What is the closest to -1/3 in -0.2, n, -0.5? n Let c be (-4)/3*(1 - 4). Let n = -86.48 + -3.52. Let k = n - -89.9. What is the closest to 2/5 in -3, c, k? k Let z(l) = -3*l**3 - 5*l**2 + 9*l + 18. Let v be z(-2). Suppose -19*w + v = -18*w. Let q = -2 - -3. Which is the closest to q? (a) 5 (b) -10 (c) w c Let w = -8 - -7.7. Let n = w - -0.5. Let s = 0.0338 - -0.2662. What is the closest to 2 in 3, s, n? 3 Let h = 6427 + -6427. Let o be 2 + -63 - 3/(-6). Let u = o + 59. Which is the nearest to 2? (a) h (b) -0.2 (c) u a Let v = -6738/13 - -40441/78. Let d = -1.2 + 0.2. Let m = d - -2. What is the closest to -2 in m, v, -3/7? -3/7 Let k be 2/(-2 + 2 + -11). Let a = -816 - -2447/3. What is the closest to k in -5/2, a, 5? a Let l = -80043/51248 - 2/3203. Let j = l + 907/560. What is the closest to j in -2/11, -6/7, -3? -2/11 Suppose 35*z = -15*z - 250. What is the closest to -1/2 in -1, z, -3, 2/7? -1 Let g be (-2)/4*116/(-203). Let m = 11.4 - 10.9. Which is the closest to 4? (a) m (b) g (c) -4 a Let q = 2.018 + -1.918. Let y be 100/15*2/10. What is the nearest to q in y, 30, 0.3? 0.3 Suppose -121 = -d + 3*z - 67, d - 4*z - 55 = 0. Suppose 6*h + 39 - d = 0. What is the nearest to h in -1, 0.1, 0.6? 0.6 Let s = -2204 + 2202. Which is the nearest to -2? (a) -14/5 (b) 0 (c) 1 (d) s d Let p be ((-114)/(-95))/((-378)/(-180)). What is the closest to -0.1 in -0.2, -1, p, -1/75? -1/75 Let g = 6.41 + -3.91. Let l = 0.5 - g. Which is the closest to 1/2? (a) -9 (b) -5 (c) l c Suppose 4*v = -4*d - 7 + 35, -3*d + 5 = -v. Let q = -1.82952 + 1.62952. What is the nearest to 27 in v, q, 1? v Let p = 3.191 + -3.091. What is the nearest to p in 17, 0.3, -0.2, -1? 0.3 Let f = -3.836 + 2.836. Which is the nearest to -33? (a) -4 (b) -3 (c) f a Let h = -0.93 - 0.13. Let b = h - 0.94. What is the closest to 9 in -1, b, 1/3? 1/3 Let w = -267.65 + 267. Let r = -137.35 + 134. Let z = r + w. What is the nearest to -0.1 in z, -2, -5? -2 Let y = -0.453 - -0.41. Let i = 4.043 + y. What is the nearest to 1 in i, 2/7, 0.1? 2/7 Suppose -i = 2*t + 24 - 18, -30 = 2*i - 2*t. Let p = 10.24 - 0.24. Let v = 9.6 - p. Which is the nearest to i? (a) -2 (b) -3 (c) v b Suppose 0 = -14*i - 18*i + 3524 - 3588. Which is the closest to -0.2? (a) 2 (b) i (c) 0.1 (d) 0.01 d Let i be (-2)/1 + 0 - 20/10. Let w = i + 3. Let q be (1 - -1)/(28/(-6)). Which is the closest to w? (a) q (b) 1/5 (c) 15 a Let k = -259 - 22. Let p = -2527/9 - k. Which is the closest to p? (a) 3/2
{ "pile_set_name": "DM Mathematics" }
0 + 2. -4 What is (-2 - (8 - 19)) + -4? 5 Evaluate -10 - (3 - (-7 - -16)). -4 Evaluate -7 + (2 - (-5 + 4)) - -7. 3 What is -5 - (-13 + 5) - 0? 3 -5 + 10 - (5 + -1) 1 Evaluate 0 - 0 - (1 + 0). -1 What is the value of 25 + -16 + 1 + -8? 2 What is (3 - (0 - -6)) + 3? 0 Evaluate (3 - -5) + (-10 + 10 - 3). 5 Evaluate 2 + (4 - 6) + 1 + -2. -1 What is the value of (1 - (1 + 3)) + -1 - -4? 0 0 - (-3 + 0 + -4 + 3) 4 What is 3 + (1 + -1 + 1 - 4)? 0 -1 + 1 + -1 - -5 4 (-2 - 4) + (6 - -2) 2 Evaluate -5 + -1 + 2 - (-13 + 10). -1 What is the value of -5 + 6 + -6 + 4? -1 What is the value of -8 + -2 - (-4 - 1)? -5 Calculate -8 - (-8 - -2) - -5. 3 5 - (0 + 0) - 3 2 Evaluate -2 + 0 + 3 - (-25 - -29). -3 Calculate -2 - (-4 - 3 - 1). 6 Calculate -4 - -4 - (6 + -5). -1 Calculate 3 - 6 - 0 - (5 + -6). -2 -3 - (-1 - (-1 + 2)) - 4 -5 What is the value of -7 - (-14 + 8) - (1 - 8)? 6 What is the value of -7 - (2 - (-6 + 3 + 8))? -4 4 - ((68 - 61) + (-10 - -1)) 6 What is 0 - (6 + 5 + -1)? -10 Evaluate -2 + -3 + (2 - (-4 - -6)). -5 0 - (-1 - (3 + -4)) 0 -7 + -1 - (-2 + -6) 0 What is the value of -10 - -6 - (4 - 8)? 0 What is the value of 3 - (-7 + (1 - (7 - 8)))? 8 Evaluate 2 + -2 - (-11 + 9 + -2). 4 Calculate 8 - ((10 - -3) + -4). -1 2 + (1 + -4 + 2 - 8) -7 37 + -41 - (-1 - 4) 1 (2 - -10) + -12 + 1 + 5 6 Evaluate 13 - (12 + 11) - -1. -9 What is the value of (-10 - 5 - -9) + -1? -7 What is (-17 - -13) + (-2 - -3)? -3 What is 0 + 4 - (1 + 0)? 3 Calculate 1 - (4 - (2 - 1)). -2 What is the value of 3 + -1 + 39 + -49? -8 Calculate 1 + -4 + 2 + 3. 2 Calculate 1 + 2 + (0 - 5 - -6). 4 What is the value of -6 + 3 + 0 + -2? -5 What is 5 - 1 - (4 + -2)? 2 What is the value of -4 + 5 + 8 + -6? 3 Calculate -1 - 1 - -3 - (-9 + 6). 4 Calculate -119 + 118 + 4 + (2 - 3). 2 Evaluate (4 - -1) + (-11 - -8) - 5. -3 Calculate (-7 - -5) + (2 - (-2 + 2)). 0 Calculate -6 - (3 + -1 - 6). -2 Calculate 1 + 2 + (11 - 27) + 14. 1 -7 + (4 - (0 - -2)) - -4 -1 -6 + (12 - 0 - 7) -1 What is -14 - -7 - (-9 - (8 + -16))? -6 -2 - (-12 - -11 - (-1 - -4)) 2 What is the value of -5 + -9 + (-11 - -19)? -6 Calculate (-11 + 7 - -3) + -2 + -2. -5 4 + (-3 - -6) + -7 + 3 3 Calculate (-3 - -2) + 5 + -9 + 0. -5 What is 1 - (5 - (6 + -4)) - 3? -5 (4 - 1) + (6 - 11 - -2) 0 -1 - ((6 - 7) + -8) 8 -6 + 3 + 3 + (3 - -1) 4 What is (123 - 114) + (-14 - 1)? -6 Evaluate 7 + (-8 - 0 - (10 - 13)). 2 Calculate 1 + (-18 - -9) + (4 - 0). -4 What is the value of (1 - 1) + 2 - (7 + -2)? -3 What is 22 + -22 + (2 - 4)? -2 What is the value of -9 - (-8 - (-4 - 0))? -5 -4 - -8 - 7 - (-2 + 4) -5 Evaluate 4 + (6 - (8 - -2)) - -5. 5 What is 24 + -24 + (-2 - -1)? -1 What is 2 + -1 - (-19 + 14)? 6 4 + (2 + -10 - (1 - 4)) -1 Evaluate (0 - -1) + -3 - (-3 - -5). -4 Calculate -5 + 10 + 0 + -1. 4 0 + (-3 - (2 - 4)) -1 What is the value of 2 - (-3 - -1) - 0? 4 Evaluate 13 + (-3 - (5 + 13)). -8 What is the value of 16 + (8 - 16) + 0? 8 Evaluate (7 - (4 + -1 - 0)) + -4. 0 -1 + (4 - (-2 + 8)) -3 Evaluate 3 - 12 - -15 - 9. -3 What is the value of 4 - (6 - (-9 + 5 + 1))? -5 (-5 - 0) + (63 - 53) 5 Evaluate 4 + 0 - (-1 + 2 + 2). 1 What is the value of (3 - 1 - 1) + (4 - 2)? 3 2 - (-7 - (-10 + 8)) 7 -9 - (-6 + (-4 - (-2 + -4))) -5 Evaluate 0 + (-4 - (-3 + 1)). -2 What is (-3 - 6 - -3) + 4 + -2? -4 Calculate (-1 - (2 + -5)) + 0. 2 What is the value of -1 + (21 - 7) + -8 + 2? 7 Calculate (-2 - 0) + -5 + 11. 4 What is the value of -16 - (-20 + 3 + 7)? -6 What is (10 - 0) + 21 + -24? 7 Evaluate 3 + -2 + 5 + -7 + 6. 5 Calculate 1 + (-3 - -14) + -23. -11 3 + -6 - (-1 - 4) 2 What is 6 - ((11 - 4) + 0)? -1 Calculate -4 + (18 - 9) - 2. 3 What is 79 + -91 - (-12 - 0)? 0 -17 + (3 - -2) + 9 -3 Evaluate (6 - 5 - 1) + 4 - 8. -4 Calculate 5 + -5 - 0 - 3. -3 What is 10 + (-4 - 5 - -5) + -4? 2 What is the value of 4 + 5 + -6 + (0 - 1)? 2 -4 - -14 - (10 + -8) 8 What is 0 - (-9 - (6 + -14))? 1 What is -4 + -4 + 11 + -4 + 3? 2 Calculate 4 - (2 + 6) - 2. -6 (21 - 21) + 2 + -5 -3 Calculate (3 + -8 - -3) + 5. 3 Evaluate 1 - 4 - -6 - (-6 - -11). -2 6 - (-1 + 1) - (-415 + 424) -3 2 + (7 + -19 - -5) -5 What is 1 - 5 - (15 - (3 + 6))? -10 Calculate 1 + 1 + (-29 - -21) + 12. 6 Calculate -2 - (0 - 8) - (-23 - -24). 5 Evaluate (-2 - -2) + -8 + 15 + -6. 1 What is 20 - 21 - (-4 + 0)? 3 Evaluate 0 - 2 - (12 - (10 + -2)). -6 Evaluate 3 + -5 + -2 + 9. 5 What is -7 + 5 + (0 - (1 + 0))? -3 Calculate -6 + 1 + (11 - 6). 0 Evaluate 5 - ((-5 - 3) + 11). 2 5 + -8 + (10 - 4) 3 What is 0 - -6 - 3 - 3? 0 10 - (21 + -14 + 6 + -7) 4 What is -4 - (-8 - 6) - 6? 4 What is 1 + (9 - (10 + -1))? 1 Evaluate -8 + (-1 - -6) + -2 - -10. 5 11 - (-2 + 7) - 2 4 Calculate (7 - (7 + -6)) + 0 + -2. 4 What is -6 - (-5 + -1 + 4)? -4 What is (-2 + -2 - -2) + 4 + -2? 0 What is -1 - (5 + -1 + -2) - 0? -3 What is -2 + -6 - (-10 + (-14 - -15))? 1 Evaluate 0 + 10 - (9 - -4 - 9). 6 What is -8 - (-7 - -7 - 6)? -2 What is (0 - 0) + -3 + -2 + 3? -2 11 + 5 + -10 - 3 3 What is the value of (3 - 1) + (4 + -12 - -9)? 3 What is the value of 9 + 0 + -4 + -10? -5 Calculate 1 - 4 - (-4 + (-2 - -2)). 1 What is the value of -23 + 21 - (1 + (-5 - 0))? 2 Evaluate -5 + (6 + 6 - 5). 2 Calculate (-10 - (-3 - 9)) + 0. 2 What is the value of (-8 - -4 - -6) + 1 + 4? 7 7 - (4 + 7 + -4 - 0) 0 What is the value of -2 + 3 + -3 + 1? -1 Evaluate -5 + 3 + 2 + -4 + 12. 8 What is the value of -4 + (2 - ((0 - -2) + -4))? 0 What is -4 - (8 + -15 + 1)? 2 What is 0 - (3 - (0 + 4 + -1))? 0 -3 - (6 - 4 - 0) -5 Evaluate 2 + (2 - 6 - -7). 5 What is (1 + -1 - -2) + (0 - 2)? 0 What is the value of -24 - (-9 - 1) - -10? -4 Evaluate -5 - (5 + -10 + -5). 5 166 - 165 - (0 + 9) -8 What is the value of 13 - 17 - (0 - 2)? -2 What is 6 - (7 - -14) - -8? -7 What is -1 - (-2 + -4 + 2)? 3 What is the value of (-1 - -7 - -2 - -5) + -6? 7 Calculate (1 - -8) + -17 + 19. 11 Evaluate (-2 - (6 + -2 + -2)) + 3. -1 -1 - 1 - (-115 + 107) 6 7 - (-11 + 27) - (2 + -8) -3 What is the value of 5 + -7 + -10 + 6 - -1? -5 What is the value of 5 + (3 - 1) - 3? 4 Calculate 3 + -3 + -12 + 2 + 4. -6 (-5 - ((-6 - 0) + 1)) + -6 -6 What is the value of (-1 - (2 - -1)) + 4 + -8? -8 Calculate 2 - ((1 - 5) + 10). -4 7 - (-7 - -13 - 4) 5 25 + -27 + (1 - 4) -5 What is the value of -10 + 29 + -4 - 8? 7 1 + -1 - 2 - 2 -4 What is the value of 5 + 1 + -9 + 8 + -8? -3 What is the value of (2 - 4) + 1 + -2 - -5? 2 What is the value of 4 + 3 - 13 - (-1 + 1)? -6 Evaluate 0 + -1 + (-3 - -2) + -1. -3 Calculate 3 - 9 - (0 + -8). 2 What is 88 + -80 - (-2 + 7 - 1)? 4 Evaluate (0 - (-2 - (11 - 8))) + 4. 9 What is the value of -1 + -11 + (6 - 4) + 6? -4 Calculate -10 + -1 + 6 + 0. -5 Evaluate 7 - (-6 - -15) - -2. 0 Calculate 4 + 1 + 3 - 3. 5 (-7 - -17 - 8) + -9 -7 What is 0 - (2 - (0 + (0 - 1)))? -3 Evaluate -4 + 6 - (0 + 2). 0 Calculate 2 - (4 - (-2 + 0 - 0)). -4 Evaluate 7 + -5 + -7 - -2. -3 Evaluate -2 - (-20 + (7 - -3)). 8 What is the value of 1 + 2 + 3 + -4 - 1? 1 (31 - 31) + (-9 - (4 - 6)) -7 1 + 14 + -14 + 1 + 1 3 What is the value of -4 - (-18 + 5 - 0)? 9 Evaluate 3 - (-2 + (3 - 1) + 0). 3 Evaluate 6 + 12 + -24 - (-2 + -1). -3 Calculate 28 + -36 - (-10 + 1). 1 What is 6 + -2 + (0 - 5) + -6? -7 Calculate -1 + -2 - (15 + -4 + -8). -6 What is the value of (-5 - -13) + -1 - 9? -2 Calculate 11 + -15 + (5 - -5). 6 What is 10 + (3 - 5) - 7? 1 Evaluate -4 + (2 - -10) + -3. 5 Evaluate (3 - 1) + 3 + (1 - 15). -9 What is the value of 4 + (-13 + 5 - (-1 - 2))? -1 14 - (-1 - (7 - 15)) 7 Evaluate 6 + 2 + (13 - 22). -1 What is the value of (-43 - -47 - (0 + -2)) + -3? 3 2 - (3 + 1 + 0) -2 What is 0 + 14 - (13 + -14 + 6)? 9 Calculate 2 - (-3 - (-1 - 3 - -6)). 7 Calculate -8 + 0 + 153 + -150. -5 Evaluate 29 + -30 - (-2 + 1 + 3). -3 Evaluate -2 - -4 - (13 - 17). 6 8 - (11 + (-4 - (6 + -4))) 3 Calculate 2 + -1 + -8 + 1. -6 -1 + (1 - 0) - (27 + -24) -3 What is -13 - (6 + (-17 - -5))? -7 What is the value of -14 + 14 + -7 - -7? 0 What is the value of (0 - 1) + (-16 - -21)? 4 What is the value of 3 + 6 + 1 + -10? 0 What is 3 + (-4 - (-2 + -2))? 3 Calculate (1 + -2 - 8) + 4 + 0. -5 Evaluate -4 - (-5 - (1 - 8)). -6 What is the value of -9 - -17 - 13 - (-4 - 0)? -1 Calculate 9 + -23 - (-1 - 8). -5 What is (-5 - -8) + 4 - 4? 3 Calculate -2 + -5 + -2 + 4. -5 Calculate (-4 - (-4 + -3 + -2)) + -2. 3 6 + (1 - (4 + -1)) 4 Calculate 3 + (
{ "pile_set_name": "DM Mathematics" }
t l. -20*l**3 Let x = 2 - -1. Find the first derivative of 5*m**3 + 3*m**4 - 2*m**3 - x*m**3 + 2 wrt m. 12*m**3 Let r(k) = 5*k**2 + 4*k. Let j(c) = 16*c**2 + 13*c. Let i = -11 + 13. Let d(p) = i*j(p) - 7*r(p). What is the second derivative of d(g) wrt g? -6 Suppose -w = -5*n + w + 10, n = 2*w + 2. Find the third derivative of 5*u**6 + u**n + 4*u**2 + u**2 wrt u. 600*u**3 Let r(u) = -16*u**3 + 5*u**2 - 5*u + 19. Let a(o) = 8*o**3 - 2*o**2 + 2*o - 9. Let b(q) = 5*a(q) + 2*r(q). Find the first derivative of b(d) wrt d. 24*d**2 Let t(p) = -p - 1. Let k(j) = 7*j + 4. Let i(x) = k(x) + 6*t(x). Let l be i(5). What is the derivative of l*w + w - 3*w - 2 wrt w? 1 What is the third derivative of -25*s**4 + 10*s**4 + 2*s**2 - 10*s**2 wrt s? -360*s Let b(h) = h**3 - 8*h**2 - 8*h - 7. Let d be b(9). What is the third derivative of 5*f**5 + 11*f**2 - 8*f**2 + 3*f**d wrt f? 300*f**2 Let f be (-1)/(-1)*(-8)/(-2). What is the derivative of 4*p**4 - p**4 + 0*p**f + 4 wrt p? 12*p**3 Let z be (-2)/1 - (-12)/5. Let q(m) be the first derivative of 0*m**2 + 0*m**3 + 0*m**4 - m - z*m**5 + 2. Differentiate q(k) wrt k. -8*k**3 Let t(n) be the second derivative of -7*n**5/20 + 23*n**2/2 - 28*n. Differentiate t(d) wrt d. -21*d**2 Let x(g) be the first derivative of 24*g**5/5 + 14*g - 11. What is the first derivative of x(y) wrt y? 96*y**3 Let b be -3 + -3 + 7 + -1. Let z(k) be the second derivative of 1/6*k**3 - k + b + 3/2*k**2. Find the first derivative of z(u) wrt u. 1 Find the third derivative of z**5 + 2*z**5 + 4*z**5 - 28*z**2 + 18*z**2 wrt z. 420*z**2 Suppose 3*r - r + 2 = 0. Let j = r + 4. What is the second derivative of -j*x + 3*x**3 + 0*x**2 + 0*x**2 + 0*x**2 wrt x? 18*x Suppose 0*f + 4*f - 8 = 0. Let g = 2 + f. What is the derivative of t**4 + 2 - g + 1 wrt t? 4*t**3 Let h(p) = p**2 - 5*p - 2. Suppose -2*g + 4*l + 8 = 5*l, -5*l - 20 = 0. Let a be h(g). What is the first derivative of -2*d**2 - 4 + 3 - 1 + a wrt d? -4*d Let r = 14 - 8. Find the second derivative of -2 + 2 - r*k + 8*k**4 - 5*k**4 wrt k. 36*k**2 Let i = -4 - -8. Find the third derivative of -4*n**6 - i*n**2 + 7*n**6 + 5*n**2 wrt n. 360*n**3 Let w be 0/1 - (-1 + -2). What is the second derivative of -5*g - g**3 + 9*g + 6*g**w + 2*g wrt g? 30*g Let b be 2/15*60/48. Let p(x) be the second derivative of 2*x + 1/2*x**2 + b*x**4 + 0*x**3 + 0. What is the derivative of p(i) wrt i? 4*i Find the second derivative of 3*x + 0*x - x - 4*x**2 + x wrt x. -8 Let a(z) be the first derivative of -8*z**3/3 - 2*z + 2. What is the derivative of a(s) wrt s? -16*s Let q(m) = m**5 - m**2 - 1. Let d(h) = -h**6 + 6*h**5 + 2*h**4 - 23*h**2 + 2*h - 6. Let s(v) = d(v) - 6*q(v). Find the third derivative of s(w) wrt w. -120*w**3 + 48*w Let h(y) be the second derivative of -37*y**7/42 - y**4/6 - y**2 + 24*y - 2. What is the third derivative of h(g) wrt g? -2220*g**2 Let l(v) be the third derivative of v**5/40 - v**4/12 + v**3/2 - 3*v**2. Let c(d) be the first derivative of l(d). What is the derivative of c(q) wrt q? 3 Suppose r = -2*j + 8, 5*r = -2*j - 0*j. Let q(l) = -1 + 6*l + 4 + 0. Let x(z) = 5*z + 2. Let b(f) = j*x(f) - 4*q(f). What is the first derivative of b(s) wrt s? 1 Suppose 5*s - 2*g = 3*s + 12, -5*g = 4*s - 33. Let z be s/(21/18) + -1. What is the third derivative of -3*t**5 - 3*t**2 + 6*t**5 + 0*t**z wrt t? 180*t**2 What is the second derivative of l + 6*l**2 - 40*l**2 + 4*l wrt l? -68 Let w(d) = 5*d**3 + 12*d**2 + 4*d - 4. Let z(v) = 4*v**3 + 13*v**2 + 5*v - 5. Let j(k) = 5*w(k) - 4*z(k). Find the third derivative of j(m) wrt m. 54 Let v(g) be the third derivative of -5*g**8/336 - g**4/24 - g**2. What is the second derivative of v(o) wrt o? -100*o**3 Let g(j) = -20*j**4 - 25*j**3 + 25*j + 15. Let m(f) = -5*f**4 - 6*f**3 + 6*f + 4. Let d(z) = -6*g(z) + 25*m(z). Find the first derivative of d(y) wrt y. -20*y**3 Differentiate -12 - 19 + 12 + k**2 + k**2 - k**4 with respect to k. -4*k**3 + 4*k Suppose -22 = -5*y - 2. Let b(x) be the first derivative of 0*x**2 + 2/3*x**3 + y*x - 1. Find the first derivative of b(o) wrt o. 4*o Suppose -3*x + 3*i = -x - 16, -5*i - 40 = -5*x. Let b(o) = o**2 - 4. Let w(l) = -3*l**2 + 11. Let v(a) = x*b(a) + 3*w(a). Differentiate v(p) with respect to p. -2*p Let n = 12 - 19. Let s = -3 - n. Differentiate 1 + 3*l**s + 2 - 1 - 1 wrt l. 12*l**3 Let n(z) = z**3 + 6*z**2 - z - 1. Let l be n(-6). What is the third derivative of -2*v**2 + 3*v**2 - 6*v**6 + l*v**6 wrt v? -120*v**3 Let a(s) be the first derivative of -23*s**3/3 + 7*s**2/2 + 23. Find the second derivative of a(l) wrt l. -46 Let k(g) be the second derivative of g**5/10 + 4*g**3/3 - 7*g. Find the second derivative of k(l) wrt l. 12*l Let g be 12/2*2/4. What is the third derivative of -c**g + 0*c - 2*c**3 - 3*c**2 + 0*c wrt c? -18 Suppose -4*j + 21 = 3*x - j, 19 = 2*x + 3*j. Suppose -2*p - x*u + 1 = -13, 0 = -3*u + 12. Differentiate -p + 18*s**2 + 2*s**3 - 18*s**2 + 4 with respect to s. 6*s**2 What is the derivative of -392*w + 742*w - 1 - 371*w wrt w? -21 Let d(k) be the second derivative of -29*k**6/30 - 2*k**3 + 13*k. What is the second derivative of d(n) wrt n? -348*n**2 Differentiate 53*x**4 + 51*x**4 + 19 - 95*x**4 wrt x. 36*x**3 Let m(p) be the first derivative of -2*p**3 + 7*p - 6. What is the first derivative of m(t) wrt t? -12*t Let j(y) be the third derivative of -y**6/360 + y**5/40 + y**3/3 - 4*y**2. Let l(g) be the first derivative of j(g). Find the second derivative of l(d) wrt d. -2 Let u(a) be the third derivative of -a**7/42 + a**3/6 + 6*a**2. Differentiate u(s) with respect to s. -20*s**3 Let f(z) = -z**2 - 1. Let x(h) = 11*h**3 + 23*h**2 + 4. Let w(g) = -4*f(g) - x(g). What is the third derivative of w(i) wrt i? -66 Suppose -2*j - 3*j = -4*h + 25, 4*h + 2*j - 46 = 0. Let z = h + -7. What is the second derivative of 2*a - 4*a + z*a + a**2 wrt a? 2 Let c(u) be the second derivative of -57*u**5/20 - 7*u**2/2 - 58*u. What is the derivative of c(f) wrt f? -171*f**2 Differentiate 20 + 13 + 8*b**3 - 30 with respect to b. 24*b**2 Find the third derivative of -2*w**3 + 7*w**5 + 83 - 28*w**2 - 83 wrt w. 420*w**2 - 12 Let w(r) = -3 - 3 - r**5 - 2 + 2 + r**2. Let x(n) = n**5 - n**2 + 7. Let b(c) = 7*w(c) + 6*x(c). What is the third derivative of b(f) wrt f? -60*f**2 Suppose -171 = -4*k + 3*a + 125, -k = a - 67. What is the third derivative of 71*q**3 - 5*q**2 - q**4 - k*q**3 wrt q? -24*q Let w(n) = 18*n**2 + 23*n - 7. Let k(z) = 6*z**2 + 8*z - 2. Let r(p) = 7*k(p) - 2*w(p). Find the second derivative of r(h) wrt h. 12 Suppose 4*m + 3*u - 11 = 24, -2*m = -2*u - 14. Differentiate m - 2*s - 3 - 1 with respect to s. -2 Find the third derivative of 4*o**3 - 2*o**2 + 370*o - 370*o wrt o. 24 What is the derivative of -3 + 13*f - 13*f - f**3 wrt f? -3*f**2 Let h(i) be the third derivative of 53*i**6/120 - i**5/60 - 29*i**4/24 + 32*i**2. Find the third derivative of h(d) wrt d. 318 Let m be (-210)/(-40) + (-2)/8. Let q(l) be the third derivative of 1/6*l**3 + 0*l + 0*l**4 + 0 - l**2 + 1/30*l**m. Differentiate q(w) with respect to w. 4*w Find the second derivative of -18*y + 2 - 29*y**4 + 2*y**5 - 14*y + 43*y wrt y. 40*y**3 - 348*y**2 Suppose 4 - 20 = -4*m. What is the derivative of -2 - m*d**4 + 7 - 3 wrt d? -16*d**3 Let k be ((-2)/(-6))/(6/(-36)). Let f be ((-40)/(-25))/(k/(-5)). What is the third derivative of -5*p**2 + 0*p**2 + 2*p**2 + f*p**6 wrt p? 480*p**3 What is the first derivative of 2*d - d + 1 - 4 + 2*d wrt d? 3 Let y(w) be the second derivative of 1/12*w**4 + 3/2*w**2 + 2*w + 0 + 0*w**3. What is the first derivative of y(l) wrt l? 2*l Suppose -g - 35 = -6*g. What is the third derivative of -g*n**2 + 0*n**2 + 0*n**6 - 3*n**6 wrt n? -360*n**3 Let k = 11 + -17. Let t be (4/k)/((-4)/12). What is the third derivative of f**2 + 2*f**6 - 3*f**t + f**2 - 3*f**6 wrt f? -120*f**3 What is the first derivative of -3*c - 27*c + 48 + 8 wrt c? -30 Let l(o) = 10*o**3 + 5*o + 10. Let n(b) = b**3 + b + 1. Let w(j) = -l(j) + 5*n(j). Differentiate w(v) with respect to v. -15*v**2 Let q(n) be the first derivative of 5*n**3 - 13*n - 10. Differentiate q(w) with respect to w. 30*w Find the third derivative of 6*z**2 - 2 - 23*z**4 + 2 + 2*z**4 wrt z. -504*z Let a(v) be the first derivative of -3 + 0*v**2 - 1/2*v**4 + 0*v**3 + v. What is the
{ "pile_set_name": "DM Mathematics" }
in the form m + l*n**2 + i*n and give l. -110 Rearrange 472*v + 10288 + 10287 - 20577 to n*v + m and give m. -2 Rearrange 7 - 3 + 236*d**2 - 6 - 1499*d - 235*d**2 to the form o*d + u + y*d**2 and give u. -2 Rearrange -2 + 8*f**3 + 236776*f**2 - 6*f**3 + 39*f - 236773*f**2 to the form v + s*f + l*f**3 + n*f**2 and give l. 2 Rearrange (-99438 + 10260*k**2 + 99438)*(3*k + 0*k + 0*k) to b*k**2 + j + m*k**3 + v*k and give m. 30780 Rearrange -31 - 116737892*q + 116737892*q + 50*q**2 to z*q + i*q**2 + b and give i. 50 Express 11*s + 537*s**2 - 536*s**2 + s**4 + 2 - 1 - 4*s**3 + 9*s**4 + 3*s**3 as l*s**2 + y*s**4 + g*s + f + n*s**3 and give l. 1 Express (0*m + m + 0*m)*(-2*m**2 + 5*m**2 - 2*m**2) + (12*m - 29*m + 262*m)*(-4*m**2 + 5*m - 5*m) as j*m**2 + d*m**3 + w*m + y and give d. -979 Rearrange 2*i**3 - 486*i + 141*i**2 + 632*i - 127*i**2 to c*i**3 + k*i**2 + v*i + s and give c. 2 Express -709*k**3 + 348*k**3 + 42 + 350*k**3 + k in the form d + o*k + u*k**3 + f*k**2 and give d. 42 Express -1 + 2*j**4 - 277*j**3 - j + 201*j**2 - j - 272*j**3 + 546*j**3 in the form c + d*j**3 + f*j + t*j**2 + a*j**4 and give d. -3 Express (-3*n - n + 2*n)*(-1 + 8*n + 3 + 0)*((-4 + 5 + 0)*(-2 - 2 + 2) - 359 + 1550 + 508)*(-2 + 2 + n) in the form x*n**2 + r + p*n + a*n**3 and give p. 0 Express 4*n + 2*n - 99041*n**4 - 3*n - 2 - 3*n**3 + 99039*n**4 + 5*n**2 as o*n**4 + d*n**2 + g*n**3 + y*n + b and give g. -3 Express (5*j - 5*j + 2*j**3)*(-j - 1 + 1) - 4*j**4 + j**4 + 2*j**4 - 740*j**4 - 2990*j**4 + 1095*j**4 as s*j**2 + t + i*j + d*j**4 + y*j**3 and give d. -2638 Rearrange (-20*s**2 + 9 - 9)*(45 - 139 + 44 - 849*s + 48) to q*s**3 + b*s + w + o*s**2 and give o. 40 Express 1214*z - 1 - 2*z**2 + 1 + 252*z + 32*z as x + c*z**2 + n*z and give n. 1498 Express 135*c**2 + 14*c + 1 - 156*c**2 + 22*c**2 + 13*c**4 in the form y*c**2 + k + d*c**4 + j*c + i*c**3 and give i. 0 Express (-72*l - 46*l + 14*l)*(149 + 17*l - 149)*(0 - 2 + 1) as h + g*l**2 + r*l and give g. 1768 Rearrange 4*l - 2 - 843855*l**2 + 5*l + 843977*l**2 to the form m + r*l + n*l**2 and give m. -2 Rearrange h + 248*h**2 - 5*h**4 + 5 - 449*h**2 + 212*h**2 to the form n*h**2 + j*h**4 + x + g*h**3 + l*h and give l. 1 Express 26*a**3 - 4*a**4 - 64*a**3 + 3*a**4 + 12*a**3 + 28*a**3 + 138*a**2 as p*a + y + x*a**4 + u*a**2 + f*a**3 and give f. 2 Rearrange 79 + 9*g - 28 - 42*g + 10*g + 15*g to the form m*g + p and give p. 51 Express -87*o**3 - 82*o**3 - 95 - o - 109 + 171*o**3 + 2*o**2 as l*o**2 + w*o**3 + c*o + u and give l. 2 Express 4 - 142*d**4 - 2*d**3 + 49*d**4 + 7*d**3 + 46*d**4 + 46*d**4 in the form n*d**2 + k*d**3 + x*d + m*d**4 + h and give k. 5 Rearrange 230533*h + 22 - 58 + 96 - 60 + (2 + 4 - 5)*(-4*h + 5*h + 0*h) to s*h + v and give s. 230534 Express (-12 - 11 + 5)*(-35 + 95 + 77)*(-16*o + 5*o**3 + 16*o) as f + j*o + q*o**2 + k*o**3 and give f. 0 Express -5*k**3 + k**3 + 31 - 1076*k**2 + 1075*k**2 in the form b*k**2 + o + w*k + h*k**3 and give b. -1 Express (1725 - 1725 + 817*x)*(5*x - 5*x - 3*x) in the form y*x + v + k*x**2 and give k. -2451 Express (0 + 0 + 3)*(6 - 4 - g**4 + 3*g**4) + (-76*g**4 + 14*g**4 - 39*g**4)*(1 - 3 + 1) in the form h*g**2 + y*g**4 + q*g**3 + d + p*g and give d. 6 Express 8*h**2 + 1529*h + 1560*h + 1535*h - 4680*h in the form a*h + t + q*h**2 and give q. 8 Rearrange (2 - 1 + 1)*(0*y - 2*y + 0*y)*(-8258 - 1087 - 9946) to the form p + w*y and give w. 77164 Express -490780 + 490780 - 12*c**2 + 3*c**4 + 6*c**3 as f*c**2 + z*c**3 + y*c + o + s*c**4 and give f. -12 Rearrange 51*d**3 + 136*d - 136*d + (-7*d**3 + 0*d**3 + 2*d**3)*(-1 - 6 + 3) to u*d**3 + n*d + t*d**2 + p and give u. 71 Express (290*b + 13768 - 13768)*(-2*b - 1 + 1) - 4*b**2 - 2*b**2 + 17*b**2 as p*b + q*b**2 + d and give q. -569 Rearrange (48 - 48 + 6*c)*(-1 + 5 + 6)*(-43*c + 84*c - 70*c) to the form f*c**2 + g + u*c and give f. -1740 Express -9 + 1 - m**3 + 197*m**2 - 19*m**2 - 6 + 966*m**2 as t + i*m + s*m**3 + k*m**2 and give s. -1 Rearrange -f**3 + 9*f**3 - f**3 + (-f + 7*f - 2*f)*(0*f + 33*f**2 + 0*f) - 2*f**3 + 7*f**3 + 0*f**3 to the form o*f**2 + x*f + c*f**3 + p and give x. 0 Express -2*w**3 + 171*w**4 + 38*w + 2 - 17*w - 19*w + 16*w**4 in the form h + k*w**2 + m*w**4 + r*w**3 + x*w and give m. 187 Rearrange -758 - 734 + 7*h**2 - 13*h**2 + h**2 + 6*h**2 to the form x + g*h**2 + i*h and give g. 1 Express (-v - 2*v + 5*v)*(58 + 63 + 175 - v + 6*v - 413) in the form a + r*v + u*v**2 and give r. -234 Express (-1893*w**4 - 1074*w**4 + 882*w**4)*(-6 + 0 + 3 + (4 + 0 - 2)*(1 + 0 - 3)) as q*w**4 + b*w + x*w**2 + o + h*w**3 and give o. 0 Rearrange 4*o**4 - 2*o - 92*o**3 + 12 - 26 + 7 + 7*o + 10 to a*o**3 + i*o**2 + m*o + n + z*o**4 and give z. 4 Rearrange 3*x**2 - 11628*x - 11591*x - 10*x**2 + 23255*x to g + l*x + n*x**2 and give l. 36 Rearrange 3*q + 2*q + 5*q + 116*q - 365*q - 131*q + (6 - 3 - 1)*(1 - 1 - 2*q) + 0*q + 4 + q - 6 + (5 - 3 + 0)*(0 - q + 0) to the form d*q + h and give h. -2 Express 13856 - 13856 + 10*g**2 + 96*g as t*g**2 + b*g + n and give t. 10 Express -8*q + 201*q**4 + 14*q - 8*q + 204*q**4 - 2 + 247*q**3 - 406*q**4 - 3*q**2 as r*q**4 + u*q**2 + x*q**3 + k*q + n and give n. -2 Rearrange 38 + 1504*b - 39 + 2 + 5 - 3 to the form u*b + i and give u. 1504 Express (0*z - z + 4*z)*(-63*z - 45*z + 52*z) as k + q*z + u*z**2 and give u. -168 Express 4914*w**2 - 2451*w**2 - 521*w**2 as i*w + x + n*w**2 and give i. 0 Rearrange 5*k - 2*k - 49*k**3 + 19*k**2 - 52*k**3 + 99*k**3 + 19 - 2*k to the form t*k + h*k**3 + i*k**2 + q and give t. 1 Rearrange (-5 - 2 + 5)*(z + 2 - 2) - 1069 - 7740*z + 2080 - 1011 to t*z + r and give t. -7742 Rearrange -12*x - 4*x - 4*x - 3*x + 11*x + 2 to z + k*x and give k. -12 Express -146*i - 1 - 1 - 575*i + 213*i in the form p*i + r and give p. -508 Express 4*v**2 - 219*v**3 - v + 104*v**3 - 12*v**4 + 31*v**2 + 113*v**3 as l*v**3 + q*v**4 + a + o*v + d*v**2 and give q. -12 Express 73*w + 0*w**2 - 530*w + w**2 - 424*w as r*w + j + h*w**2 and give h. 1 Express c**3 + 2*c**4 + 4*c - 4*c + (1042 + 2221 + 743)*(-4*c**4 - 7*c + 7*c) as s + y*c**2 + p*c + u*c**3 + z*c**4 and give u. 1 Rearrange -10*a - 5*a**3 - 364*a + 0*a**2 + 0*a**2 to the form y + k*a**2 + r*a + z*a**3 and give r. -374 Rearrange 1 + 170*f**2 - 2185*f**2 - 1952*f**2 to c*f**2 + d*f + j and give j. 1 Rearrange (2*m - m + 0*m + (-1 + m + 1)*(-2 + 4 + 1))*(-9 - 49 + 10*m - 30*m + 14*m) to the form a*m**2 + n*m + w and give n. -232 Express 1300*r**4 + 9364*r - 18729*r + 9365*r + (2*r**2 - 6*r**2 + 3*r**2)*(-10*r + 10*r - r**2) as o*r**3 + i*r**4 + w*r**2 + f + n*r and give i. 1301 Rearrange 3315*u + 1 - 6205*u - 4364*u - 2212*u to y + s*u and give s. -9466 Rearrange (-23 + 2*o - 47 - 8)*(-30 - 21 + 32) to n*o + q and give n. -38 Rearrange 0*m**4 - 41 - 2*m + 97 + 2*m**4 + 47 + m**2 + 138 + 2*m**3 to q*m**3 + b*m + x + g*m**4 + l*m**2 and give q. 2 Express (-33637*b - 110550 + 5500*b - 46961*b - 110544 + 221094)*(3*b - 4*b + 3*b) in the form w + m*b**2 + z*b and give m. -150196 Rearrange 0*d**2 + 163*d**2 + 116*d**2 + 10*d**2 - 3*d + 106*d**2 to the form n + j*d**2 + a*d and give a. -3 Express (a**2 - a**2 - a**2)*(1520 + 4*a - 14 - 100)*(3*a + a - 2*a) as x*a**4 + c + s*a + r*a**2 + n*a**3 and give n. -2812 Express 9433*c - 104 + 216 - 114 - 2257*c + 3897*c as y*c + r and give r. -2 Rearrange (23918 - 368 + 38288 + 55306 - 5893)*(0*p + 2*p + 0*p) to the form i*p + y and give i. 222502 Express -42*k**2 + 1 - 5 - 1 - 1 + 39*k**2 + 78*k**3 in the form v*k**3 + o*k**2 + q + j*k and give o. -3 Rearrange -9*b - b**2 + 1 + 9*b + 0*b**2 + 0*b**2 - 22*b + 49*b**3 to the form i*b**2 + z*b + r*b**3 + q and give z. -22 Rearrange (-6 - 3 + 1)*(4238*h - 2585*h - 2274*h) to the form z*h + m and give z. 4968 Express (-3*a + 0*a + 5*a)*(0 - 2 + 0) + (a - 13*a + 3*a)*(-1 + 3 - 3) + 3*a + 2*a - 4*a in the form u*a + m and give m. 0 Express (-2*v - 23 + 31 - 5*v)*(-17 + 3 + 1) as b*v + i and give b. 91 Express (r**2 - 1 + 1)*(r**2 - 4*r**2 - 6*r**2) - 5 + 793*r**4 - 224151*r + 224151*r in the form c*r**2 + o*r**4 + v + s*r**3 + f*r and give v. -5 Rearrange 1008 - 1008 - 17*o + (3 - 6 + 2)*(274 + 3*o - 274) to k*o + w and give w. 0 Express (2 + 2 - 3)*(-12372*w - 5157*w - 3146*w) as q + t*w and give q. 0 Rearrange -12*s + 0*s - 14*s + 536*s**2 + 47*s
{ "pile_set_name": "DM Mathematics" }
+ 47*v**3 - 268453*v. 47*v**3 Collect the terms in 285*n + 323*n + 318*n + 327*n + 328*n - 1914*n + 335*n. 2*n Collect the terms in -132*v - 6210 - 1386 + 841. -132*v - 6755 Collect the terms in -4581*g + 2 + 2292*g + 2291*g - 2 - 1020*g**2. -1020*g**2 + 2*g Collect the terms in 29195*v + 5639*v - 8621*v. 26213*v Collect the terms in 7*w + 5103 - 14333 + 4139 + 5091. 7*w Collect the terms in -8173*t + 10255*t + 10003*t. 12085*t Collect the terms in -699*j + j**2 + 202*j + 202*j + 196*j + 95*j. j**2 - 4*j Collect the terms in -14519*x + 29007*x - 14487*x - 17 + 17. x Collect the terms in u**2 + 194 - 173 - 4*u + 7*u + 15*u - 2*u. u**2 + 16*u + 21 Collect the terms in 4068 - 4068 - 2414996*h. -2414996*h Collect the terms in -219*d**2 + 117*d**2 + 74 - 127 + 71. -102*d**2 + 18 Collect the terms in a**2 - 7*a**2 - 9569458*a + 7*a**2. a**2 - 9569458*a Collect the terms in -1902*u**3 - 12 - 4 + 2275*u**3 + 16. 373*u**3 Collect the terms in 234617 + 2*n**2 + n - 234655 - n**2. n**2 + n - 38 Collect the terms in -4003256 + 4003256 + 531*f. 531*f Collect the terms in 182*x - 1366159*x**2 - 182*x. -1366159*x**2 Collect the terms in 13*l**3 - 13*l**3 - 20*l**3 - 15*l**3 + 13*l**3 + 13*l**3. -9*l**3 Collect the terms in -764*c - 20 + 201*c + 29 - 1175*c. -1738*c + 9 Collect the terms in 284073*r - 142424*r - 141650*r. -r Collect the terms in -1928*b - 1882*b + 3810*b + b**3 - 11*b**3. -10*b**3 Collect the terms in -129 + 26 - 9*d + 18 + 26 + 24 + 25 + 9. -9*d - 1 Collect the terms in -30*d**2 - 234*d**2 + 342*d**2 + 44*d**3 - 23*d**2 - 27*d**2 - 32*d**2. 44*d**3 - 4*d**2 Collect the terms in 46*b**2 + 2*b**3 + 10*b**2 - b**3 - 72*b**2 - 8*b**2 - 7*b**2. b**3 - 31*b**2 Collect the terms in 227*g**3 + 944*g**3 + 61*g**3 - 52*g**3 + 300. 1180*g**3 + 300 Collect the terms in -22970*h**2 + 22970*h**2 + 34*h - 34*h + 9*h**3 + 0*h. 9*h**3 Collect the terms in -11*v - 12*v - 4*v + 88*v - 17*v - 22*v - 13*v. 9*v Collect the terms in 2972370*w + 44 - 2972353*w + 3. 17*w + 47 Collect the terms in 5684*o**2 - 78 + 4292*o**2 + 78. 9976*o**2 Collect the terms in -127*a**2 + 206*a**2 - 383*a - 105*a**2 + 382*a + 3*a**3. 3*a**3 - 26*a**2 - a Collect the terms in 0*f - 75880*f**2 + 75880*f**2 - 127*f**3 + 0*f - 21*f**3. -148*f**3 Collect the terms in -2*d + 62 - 126 + 87*d**2 + 64 - 2*d - 106*d**2. -19*d**2 - 4*d Collect the terms in -1880*q + 34 + 12*q**2 + 921*q + 18*q**2 + 959*q. 30*q**2 + 34 Collect the terms in 1346 - 10*j**2 - 887 - 459. -10*j**2 Collect the terms in 354*l + 361*l + 343*l - 1395*l + 363*l. 26*l Collect the terms in 870740 - 4*i**3 - 29*i**3 - 870973 - 2*i. -33*i**3 - 2*i - 233 Collect the terms in 32 + 739*m - 38 + 3597*m + 2*m**3. 2*m**3 + 4336*m - 6 Collect the terms in -38508*z**3 + z + 38788*z**3 - z. 280*z**3 Collect the terms in 185 + 1899*u - 985*u - 185 + 1801*u. 2715*u Collect the terms in -13*k - 15*k - 1038 + 1021 + 26*k. -2*k - 17 Collect the terms in 528*x + 4 - 20*x**2 - 533*x + 5*x + 8. -20*x**2 + 12 Collect the terms in 8814 + 4*v**3 + 8815 - 17630 - 2*v**3 + 374*v. 2*v**3 + 374*v - 1 Collect the terms in 1797 - 1740 - 467*r + 246*r. -221*r + 57 Collect the terms in 31925*s**3 - 15809*s**3 - 15733*s**3. 383*s**3 Collect the terms in 3*r**3 + 5*r**3 + 529*r**2 - 2*r + r - 35*r**3 - 2. -27*r**3 + 529*r**2 - r - 2 Collect the terms in 294 + 273 - 861 + 235*p + 294. 235*p Collect the terms in 2241 + 2201 - 44*h**2 + 50*h**2 - 4442. 6*h**2 Collect the terms in 5 - 1691*c**2 - 1686*c**2 - 1696*c**2 - 5 - 1692*c**2 + 6766*c**2. c**2 Collect the terms in -51 + 30*v**2 - 34*v + 427 - 376. 30*v**2 - 34*v Collect the terms in -4*o**2 + 213*o**3 + 685*o**3 + 4*o**2 - 379*o**3 + 206*o**3. 725*o**3 Collect the terms in 425*o**2 - 637*o**2 + 2979*o**2. 2767*o**2 Collect the terms in 8626*a**3 + 48892*a**3 - 1127*a**3. 56391*a**3 Collect the terms in -4*q**2 + 220864 + 220862 - 662594 + 220868. -4*q**2 Collect the terms in 10919*x**2 - 5535*x**2 + 50*x - 5382*x**2. 2*x**2 + 50*x Collect the terms in -3907*d**2 + 5*d + 59 - 25 - 29 - 4*d. -3907*d**2 + d + 5 Collect the terms in 12*z - 24*z - 355*z**2 + 356*z**2 - 1 + 12*z. z**2 - 1 Collect the terms in 1944412*a - 3743667*a + 1799254*a. -a Collect the terms in 25*b - 2511 + 2507 - 33*b. -8*b - 4 Collect the terms in -198111547 + 2*f + 198111547. 2*f Collect the terms in -280520*w**3 - 1191151*w**3 + 227864*w**3. -1243807*w**3 Collect the terms in -y**2 - 44*y - 5 - 96*y + 44*y - 57*y. -y**2 - 153*y - 5 Collect the terms in -211*w + 31*w - 13 + 14 - 38*w - 8 + 5. -218*w - 2 Collect the terms in -1669*w + 4723*w - 1804*w. 1250*w Collect the terms in 4871*k**2 + 274 - 170 - 22*k + 22*k - 104. 4871*k**2 Collect the terms in 53*b**2 + 449*b**2 - 608*b**2 + 54*b**2 + 56*b**2. 4*b**2 Collect the terms in 27*a**2 - 276*a + 36 - 2542*a**2 - 37 - 505*a**2 + 276*a. -3020*a**2 - 1 Collect the terms in 4117037*z**2 - 8234000*z**2 + 4116977*z**2. 14*z**2 Collect the terms in 1850741850*b - 731*b**3 - 1850741850*b. -731*b**3 Collect the terms in 510186*p**2 - 1020386*p**2 + 12 + 510325*p**2. 125*p**2 + 12 Collect the terms in 14*s - 4*s + s + 32605 - 10*s - 32631. s - 26 Collect the terms in -20*u + 0*u**2 - 7 + 0*u**2 + 12 - u**2 - 54*u. -u**2 - 74*u + 5 Collect the terms in f**2 + 12*f + 2665 - 2*f**2 - 2670 - f. -f**2 + 11*f - 5 Collect the terms in -12*m - 42 + 16 + 10*m + 17 + 13. -2*m + 4 Collect the terms in -2701307*s**2 + 12*s - 21*s + 9*s + 2701305*s**2. -2*s**2 Collect the terms in -1701195*s**2 + 3 + 1701139*s**2 - 3. -56*s**2 Collect the terms in 16973842 - 9*i**3 - 16973842. -9*i**3 Collect the terms in -386 - 351 - 197*n + 1115 - 378. -197*n Collect the terms in 133142*y + 283070*y - 18*y**2 + 211114*y + 16*y**2. -2*y**2 + 627326*y Collect the terms in -6619835*o + 0 + 6619986*o + 1 - 1. 151*o Collect the terms in 236 + 238 + 210 - 924 + 232 + 3*u. 3*u - 8 Collect the terms in 0 + 6 + 24 - 13 + 5 + 21*b**2. 21*b**2 + 22 Collect the terms in -177*l + 33*l + 39*l + 27*l + 43*l + 37*l. 2*l Collect the terms in -135*j**2 - 9 + 113*j**2 - 5 - 174. -22*j**2 - 188 Collect the terms in -13 + 38 - 21 - 4 - 86*c**2. -86*c**2 Collect the terms in 28010*j - 13157*j + 22757*j - 10418*j + 30677*j. 57869*j Collect the terms in 4*b**3 + 105*b**2 + 84*b**2 - 343*b**2 + 100*b**2 - 2*b**3 + 88*b**2. 2*b**3 + 34*b**2 Collect the terms in 19*s**2 + 4*s + 10*s**2 - s**2 - 177 - 239. 28*s**2 + 4*s - 416 Collect the terms in 96073*o**3 - 8*o**2 - 288203*o**3 + 96065*o**3 + 44*o**2 + 223*o**2 + 96064*o**3. -o**3 + 259*o**2 Collect the terms in 119*c**3 + 80267*c - 900*c - 5 + 16*c**3 + 7. 135*c**3 + 79367*c + 2 Collect the terms in 4291*f + 197*f - 4432*f. 56*f Collect the terms in 91*z - 92 - 97 + 290 - 148*z - 101. -57*z Collect the terms in -39*y**3 + 23*y**3 + 3427 - 739 + 17*y**3. y**3 + 2688 Collect the terms in -1453268*n**3 + 303785*n**3 - 985930*n**3. -2135413*n**3 Collect the terms in -39806 - 3055*l + 39806. -3055*l Collect the terms in 7005*s**3 - 202659 + 202659. 7005*s**3 Collect the terms in 18 + 251*d**3 + 244*d**3 + 2 + 37. 495*d**3 + 57 Collect the terms in -773 + 477 + 112*b + 296. 112*b Collect the terms in -2715 + 1399*p + 2746 + 1422*p - 2825*p. -4*p + 31 Collect the terms in -6 - 49 + 55 + 5694*w. 5694*w Collect the terms in -81446819*t - 81446846*t + 162893761*t. 96*t Collect the terms in -13741 - 29*l + 4636 + 4477 + 4628. -29*l Collect the terms in -106*t**3 + 18579426*t - 18579426*t + 116*t**3. 10*t**3 Collect the terms in -98*v**2 + 44 - 55 - 2*v**2 - 3*v**3 - 5*v**3. -8*v**3 - 100*v**2 - 11 Collect the terms in 437*j - 369*j - 15 + 1. 68*j - 14 Collect the terms in -6480*m**3 + 95377*m**3 + 23265*m**3 + 86007*m**3. 198169*m**3 Collect the terms in -5229908 + 5229908 - 30*v**2 - 100*v**2 - 3*v. -130*v**2 - 3*v Collect the terms in 10055*u**2 + 6868*u**2 - 3 + 3 - 17040*u**2. -117*u**2 Collect the terms in -387*c**3 - 3*c**3 + 131*c**3. -259*c**3 Collect the terms in 4*k - 2*k - 14*k + 14*k - 834. 2*k - 834 Collect the terms in 9*v**3 - 13*v**3 + 3*v**3 - 5*v**3 - 3*v**3. -9*v**3 Collect the terms in 56738708*w + 479*w**2 - 56738708*w. 479*w**2 Collect the terms in -127*q + 897*q + 120*q + 19*q. 909*q Collect the terms in 3320*i - 1 - 755*i + 2249*i + 1142*i - 173*i. 5783*i - 1 Collect the te
{ "pile_set_name": "DM Mathematics" }
- 1)*(f + 1)/7 Suppose -17*m + 30 = -14*m. Suppose i - 18 = -3*l, -5*i + 4*l = -l + m. What is o in -1 - 42*o + 39*o + 7 - i*o**2 = 0? -2, 1 Let t be ((-60)/(-16))/(9*35/126). Factor -t*h + 1 + 1/2*h**2. (h - 2)*(h - 1)/2 Let f(v) = -7*v**3 - 8*v**2 - 3*v - 2. Let h be f(-1). Let j(c) be the second derivative of 0 + h*c**3 + 0*c**2 + 1/36*c**4 + 11*c. Factor j(x). x**2/3 Let c(w) = w**2 + 60*w - 1596. Let n be c(20). Factor -16/7*l**n - 40/7*l**3 + 0 - 3/7*l + 23/7*l**2. -l*(l + 3)*(4*l - 1)**2/7 Let j(b) be the first derivative of b**4/10 + 2*b**3/15 - b**2 + 6*b/5 + 115. Let j(g) = 0. What is g? -3, 1 Let d(z) = -z - 8. Let k be d(-5). Let u be 184/56 - ((-6)/7)/k. Solve 2/3*f**4 + 4/3*f + 0 + 8/3*f**u + 10/3*f**2 = 0 for f. -2, -1, 0 Let y(d) be the third derivative of d**8/84 - 2*d**7/21 - 17*d**6/30 + 25*d**5/3 - 92*d**4/3 + 160*d**3/3 + 5*d**2 - 13*d. Suppose y(c) = 0. Calculate c. -5, 1, 4 Suppose -7*d - 1168 = -1203. Let p(r) be the third derivative of 0 + 0*r + 10*r**2 + 0*r**6 + 0*r**3 + 0*r**d + 0*r**4 + 1/945*r**7. Let p(a) = 0. Calculate a. 0 Let k(d) be the third derivative of d**9/393120 - d**8/131040 + 2*d**5/15 + 18*d**2. Let p(r) be the third derivative of k(r). Factor p(x). 2*x**2*(x - 1)/13 Suppose -173*a**3 - 168*a**4 + 49*a**3 + 374108*a**2 - 373932*a**2 - 48*a + 180*a**5 = 0. What is a? -1, 0, 3/5, 2/3 Let p(t) be the first derivative of 3*t**4/34 + 32*t**3/51 + 5*t**2/17 - 135. Determine o so that p(o) = 0. -5, -1/3, 0 Let s(z) be the third derivative of 0 + 1/560*z**7 - 1/160*z**6 + 0*z**3 + 1/32*z**4 + 0*z - 1/160*z**5 - 7*z**2. Factor s(n). 3*n*(n - 2)*(n - 1)*(n + 1)/8 Let q(u) be the first derivative of -u**4/32 - u**3/24 + 5*u**2/8 - u + 39. Factor q(c). -(c - 2)*(c - 1)*(c + 4)/8 Let g(z) = -43*z - 2. Let n be g(-2). Let y = n - 29. Solve -y - 3*t**3 + 3*t**2 + 55 = 0. 0, 1 Let h = -58 - -143/2. Solve -h*n**2 - 36*n - 24 = 0. -4/3 Let u(c) = c**3 - c**2 - 2*c + 8. Let m be u(0). Suppose -m*q + 2 = -14. Find g such that -281*g**4 + 637*g**3 + 92*g - 8 - 62*g**4 - 74*g**q - 304*g**2 = 0. 2/7, 1 Determine j so that 2*j**2 + 0 + 9/4*j - 1/4*j**3 = 0. -1, 0, 9 Find u, given that -40*u - 600 + 40*u**3 + 2/3*u**4 + 1798/3*u**2 = 0. -30, -1, 1 Factor 0*i**5 + 0*i**2 + 15*i**4 - 5*i**5 - 15*i**3 + 5*i**2 + 122*i - 122*i. -5*i**2*(i - 1)**3 Let s(z) = -14*z**4 + 16*z**3 - 8*z**2 + 6*z + 6. Let b(q) = -2*q**4 + q**3 + q + 1. Let j(y) = -6*b(y) + s(y). What is w in j(w) = 0? 0, 1, 4 Suppose 0 = -2*h + 2*d - 40 + 10, -4*d = 2*h + 60. Let v be (-1)/(-3) - h/12. Factor -2*r**4 + r**4 - v*r**5 - 3*r**4 - 2*r**3. -2*r**3*(r + 1)**2 Let y(m) be the third derivative of m**6/780 + 61*m**5/390 + 58*m**4/39 + 76*m**3/13 + 6*m**2 - 26*m. Factor y(d). 2*(d + 2)**2*(d + 57)/13 Suppose 0 = -5*h + y + 13 - 6, -2*y = -4*h + 2. Suppose -2/11*w**h - 4/11 + 6/11*w = 0. What is w? 1, 2 What is o in -9/4 + 3/4*o**2 - 3/2*o = 0? -1, 3 Suppose 5*a + n - 12 = 0, -8*a = -4*a - 24*n - 84. Determine w so that 8/3*w**4 - 4*w**a + 0 - 8/3*w**2 + 0*w = 0. -1/2, 0, 2 Let s = -7 + 9. Factor -31*z - 40 - z**2 - 2*z**s + z - 35. -3*(z + 5)**2 Determine p, given that -8/3 - 66*p**2 + 27*p**3 + 76/3*p = 0. 2/9, 2 Let a(o) be the second derivative of 5/6*o**3 - 5*o + 0*o**4 + 1/1800*o**6 + 0 + 0*o**2 + 1/200*o**5. Let x(n) be the second derivative of a(n). Factor x(q). q*(q + 3)/5 Let x(s) be the third derivative of s**7/210 - s**6/90 - 3*s**3/2 - 2*s**2. Let d(p) be the first derivative of x(p). Factor d(k). 4*k**2*(k - 1) Let g(f) be the third derivative of -f**6/160 - 41*f**5/80 + 21*f**4/16 + 59*f**2. Factor g(l). -3*l*(l - 1)*(l + 42)/4 Let a(u) = -74*u**3 + 105*u**2 + 165*u + 7. Let i(t) = -50*t**3 + 70*t**2 + 110*t + 5. Let m(o) = -5*a(o) + 7*i(o). Factor m(q). 5*q*(q + 1)*(4*q - 11) Let s(k) be the third derivative of k**5/45 - 113*k**4/9 + 25538*k**3/9 + 3*k**2 + 16. Factor s(i). 4*(i - 113)**2/3 Factor -237*a + 262 - 2*a**2 + 0*a**2 + 0*a**2 + 385*a - 408*a. -2*(a - 1)*(a + 131) Suppose -537 = -3*c - 4*s, 3*c - 4*s - 157 = 380. Factor -179*n - n**5 + n**3 - 2*n**2 + c*n + 2*n**4. -n**2*(n - 2)*(n - 1)*(n + 1) Let k(z) = -z + 17*z**2 + 20 - z**3 - 9*z - z - 98. Let f be k(16). Factor 0 - 2/7*v**4 - 2/7*v**f + 0*v - 4/7*v**3. -2*v**2*(v + 1)**2/7 Let k = -485/84 - -41/7. Let v(f) be the first derivative of 1 + 0*f - 1/8*f**2 + k*f**3. Suppose v(r) = 0. Calculate r. 0, 1 Solve 4/3 - 94/15*u**3 - 38/15*u**4 - 18/5*u**2 + 22/15*u = 0 for u. -1, 10/19 Suppose -3*d - 6 = -6*d. Let n(m) = -10*m**d - 35 + 13 + 23 + 16*m. Let w(l) = -7*l**2 + 11*l + 1. Let g(i) = 5*n(i) - 7*w(i). Factor g(t). -(t - 2)*(t - 1) Let n(a) = -a**2 - a + 1. Let q = 8 + -2. Let z(y) = 8*y + 21*y**2 - 10*y**2 - 17*y**2 - y. Let g(p) = q*n(p) - 3*z(p). Find k such that g(k) = 0. 1/4, 2 Suppose 91*y**3 - 67*y**3 + 264*y + 3*y**5 - 88 - 309*y**2 + 4 - 39*y**4 + 141*y**3 = 0. Calculate y. 1, 2, 7 Let y(z) be the third derivative of -z**5/390 - 179*z**4/78 - 32041*z**3/39 - z**2 - 74*z. Factor y(s). -2*(s + 179)**2/13 Let d = 1291/115 + -249/23. Suppose -8/5 - d*x**2 - 8/5*x = 0. Calculate x. -2 Let a be (-51)/17 + 8/(1 + 0). Determine r so that 0*r**5 - 25*r**4 - 6*r**a + r**5 = 0. -5, 0 Let j(q) be the first derivative of q**5/10 - q**4/2 - q**3 + 9*q**2 - 27*q/2 - 71. Factor j(a). (a - 3)**2*(a - 1)*(a + 3)/2 Let b(p) be the first derivative of 1 - 3/4*p**4 - p**3 + 0*p**2 - 6*p. Let g(u) be the first derivative of b(u). Let g(o) = 0. What is o? -2/3, 0 Let m(h) = 10*h + 142. Let n be m(-14). Find p, given that 0 - 1/4*p + 1/4*p**n = 0. 0, 1 Suppose -5*c + 33 = 4*g - 195, 2*c = 4*g + 108. Let w = c - 236/5. Find j, given that -w*j - 2/5 + 0*j**2 + 2/5*j**4 + 4/5*j**3 = 0. -1, 1 Let z(p) = -p + 7. Let d be z(3). Let g(c) = -4 + 4*c**2 + 19*c - 7*c - 2 - 2. Let m(a) = -4*a**2 - 13*a + 7. Let x(b) = d*m(b) + 5*g(b). Factor x(i). 4*(i - 1)*(i + 3) Let a be (0 + -2)/(599 - -8). Let h = 4259/3035 + a. Suppose 0 + 8/5*k**2 - 4/5*k + h*k**3 - k**4 = 0. What is k? -1, 0, 2/5, 2 Suppose -3*y - 9 = -15. Factor -n**y + 86*n**3 - 81*n**3 - 4*n**2. 5*n**2*(n - 1) Let u(l) = -l**4 - 2*l**3 - 8*l - 4. Let i(p) = -p**4 - 3*p**3 - p**2 - 9*p - 4. Let y(g) = 5*i(g) - 6*u(g). Let y(v) = 0. What is v? -1, 1, 4 Factor 18 - 50*x - 36 + x**2 + 33*x. (x - 18)*(x + 1) Suppose j + 111 = 2*o + 6*j, -78 = -o + 5*j. Let q = o - 438/7. Let q*i + 2/7 + 1/7*i**2 = 0. What is i? -2, -1 Let z(m) be the second derivative of m**4/120 + m**3/10 + m**2/4 - 109*m. Factor z(s). (s + 1)*(s + 5)/10 Let h(u) be the first derivative of 8281*u**3/9 + 182*u**2/3 + 4*u/3 + 398. Determine b, given that h(b) = 0. -2/91 Let w = -9 - -10. Let m = -14 + 15. Let n(c) = -c**2. Let y(r) = 3*r**2 - 4*r. Let t(z) = m*n(z) + w*y(z). Let t(s) = 0. What is s? 0, 2 Let y(s) = s**2 - 11*s + 12. Let w be (-4)/(-18) + 440/45. Let l be y(w). Suppose 1 + 3 - l*b**2 - 6 - 4*b = 0. Calculate b. -1 Let d(y) be the second derivative of -y**4/42 - 61*y**3/21 - 41*y. Factor d(o). -2*o*(o + 61)/7 Let s(a) be the first derivative of -a**3/3 - a**2/2 + 2*a - 38. Factor s(b). -(b - 1)*(b + 2) Let y(x) = -x**3 - 11*x**2 - 2*x - 17. Let s be y(-11). Suppose 0*n - s*n - 2*n = 0. Determine k, given that n + k - 1/2*k**2 = 0. 0, 2 Let h(l) = -l**3 + 9*l**2 + l - 13. Let a be h(9). Let q be 22/(-4)*a/44. Suppose -1/2*y + y**3 + 1/2*y**4 - 1/2*y**5 + q - y**2 = 0. What is y? -1, 1 Let r(n) = -n**2 - 9*n - 8. Let f(g) = g**2 + 10*g + 9. Let s = -1 - -6. Let d(w) = s*f(w) + 6*r(w). Determine v, given that d(v) = 0. -3, -1 Let i(c) = -200*c - 400. Let r be i(-2). Let -1/4*l**3 + 0 + r*l**2 + 1/4*l**5 + 0*l + 0*l**4 = 0. What is l? -1, 0, 1 Let s(l) = l + 22. Let o be s(-10). Factor 5*c - 4*c**2 + 2*c + o + c. -4*(c - 3)*(c + 1) Suppose -1/10*w**3 + 1/10*w**2 + 1/5*w + 0 = 0. What is w? -1, 0, 2 Let i(g) be the third derivative of 3*g**5/100 - 239*g**4/40 - 8*g**3 - 525*g**2. Factor i(y). 3*(y - 80)*(3*y + 1)/5 Let f(g) = 0 + 5*g**2 - 1 - 4*g**2. Let k(n) = n - 9. Let r be k(8). Let c(o) = 14*o**2 - 6*o - 5. Let x(l) = r*c(l) + 6*f(l). Factor x(q). -(2*q - 1)*(4*q - 1) Suppose -1/4*g + 1/2*g**3 - 1/4*g**5 + 0*g**2 + 0*g**4 + 0 = 0. Calculate g. -1, 0, 1 Let f(c) be the first derivative of 69/5*c**5 - 9/4*c**4 + 0*c**2 + 0*c - 2*c**3 + 6*c**6 + 24. Suppose f(y) = 0. Cal
{ "pile_set_name": "DM Mathematics" }
- 67*d = 4253 + 6931 - 1315 for d. 71 Solve 310*d - 4114 - 26390 = 728*d + 2518 for d. -79 Solve -82*c = -625*c - 10317 for c. -19 Solve 549*x + 14780 = -6474 + 7930 - 14675 for x. -51 Solve 59*s + 93*s - 1343 + 306 - 787 = 0 for s. 12 Solve 114*u = -2026355 + 2025671 for u. -6 Solve -36*h - 250*h + 1587 = 5759 + 6982 for h. -39 Solve -712*g = -27298 - 26814 for g. 76 Solve -9*y - 29*y - 15964 = -16990 for y. 27 Solve 5450*d + 496 + 1316 = 5148*d for d. -6 Solve 0 = 1124*v - 13002 - 4982 for v. 16 Solve 286*o - 189*o - 208*o + 5106 = 0 for o. 46 Solve -1201*k - 5594 = 19167 - 3143 for k. -18 Solve -4317 = -376*n + 7381 - 3802 for n. 21 Solve -19063 = 535*x - 168*x - 1080 for x. -49 Solve -37*m - m - 49*m - 8*m - 3420 = 0 for m. -36 Solve 2361 + 2781 + 14724 = 903*g for g. 22 Solve -8516 = 1737*r + 3065 + 7526 for r. -11 Solve -15953 - 167722 = 1975*v for v. -93 Solve -1714 - 1232 + 272 = -191*n for n. 14 Solve 204449*y - 11872 = 204237*y for y. 56 Solve 85*j - 25228 = 986*j for j. -28 Solve -2078*m - 75764 = -1479*m + 1845*m for m. -31 Solve -6470 + 7479 = 163*p + 14212 for p. -81 Solve -17*c + 147 = -86 - 16 - 23 for c. 16 Solve 70*r - 240 = 100*r for r. -8 Solve -4308 + 1306 = 260*k + 10778 for k. -53 Solve 0 = 22237*g - 22260*g + 920 for g. 40 Solve -80*h - 1652009 + 1650809 = 0 for h. -15 Solve 15539*i + 5217 = 15398*i for i. -37 Solve 16*r - 9226 = 1004*r + 14486 for r. -24 Solve 7453*d + 507 = 7466*d for d. 39 Solve -191*p - 11*p - 8840 = 58*p for p. -34 Solve -794*t - 3528 = -30524 for t. 34 Solve -1730 - 12382 = 288*o for o. -49 Solve 24*k - 218 = 378 + 844 for k. 60 Solve -1132*a + 522*a = -8*a + 55384 for a. -92 Solve 420*n + 2400 = 290*n + 170*n for n. 60 Solve 1043545*k - 1043556*k = 693 for k. -63 Solve 18810*d = 19092*d + 10998 for d. -39 Solve -2470*o - 74147 + 156556 = 17413 - 194354 for o. 105 Solve 0 = 131*g - 680 - 3381 for g. 31 Solve -111*x - 599 - 2244 = 236 - 637 for x. -22 Solve -580 - 2443 - 3097 - 2140 = -590*r for r. 14 Solve 0 = -42255*n + 42948*n - 6930 for n. 10 Solve -221*j = -1267*j - 217*j + 66939 for j. 53 Solve -277*t - 31454 = -6801 for t. -89 Solve 8098*a = 8629*a + 11682 for a. -22 Solve -16*p + 3808 = 265*p - 43*p for p. 16 Solve 0 = 64*k + 425541 - 425861 for k. 5 Solve -1600*t - 757 = -8757 for t. 5 Solve -1916*c + 1044 = -989*c - 985*c for c. -18 Solve 4738*c + 134513 = 608313 for c. 100 Solve 981*q + 53575 = -7428 + 11953 for q. -50 Solve -115*v + 580 + 3100 = 0 for v. 32 Solve 14*q + 42 + 80 = -300 - 180 for q. -43 Solve 49*u - 549 = -17*u + 16*u + 2551 for u. 62 Solve -277029 = 985*l - 1605*l - 3139*l + 140220 for l. 111 Solve 475*w - 386*w - 6372 = -2549*w - 154100 for w. -56 Solve 0 = -163*s - 352 + 6057 for s. 35 Solve 241*f + 12951 = 840*f - 16999 for f. 50 Solve 0 = 63635*t - 63631*t - 64 for t. 16 Solve -6032 - 1909 - 7203 = -258*s + 4980 for s. 78 Solve -18113*m + 17940*m - 8131 + 1903 = 0 for m. -36 Solve -401*x + 368*x + 11360 = 677*x for x. 16 Solve -328 + 951 + 1181 = -82*v for v. -22 Solve 0 = 62*w - 797 + 3959 for w. -51 Solve -118*n - 145*n = -377*n + 171*n + 399 for n. -7 Solve -100*v + 317*v + 36*v = 253 for v. 1 Solve -28*i + 4536 = -302*i - 6150 for i. -39 Solve -16*r - 1355 - 1095 = -74*r - 40*r for r. 25 Solve -23*o - 9*o = 18*o + 144*o - 1164 for o. 6 Solve 0 = 281*v + 918*v - 644*v + 1517*v + 8288 for v. -4 Solve -88*l - 20703 - 21233 = -40088 for l. -21 Solve -7621 - 11480 + 12941 = 112*k for k. -55 Solve 3410*s + 52839 = -113838 - 10643 for s. -52 Solve 318*i - 53130 = -15606 for i. 118 Solve -43*d - 1175 - 3210 = -6234 for d. 43 Solve -23*h + 220 = -76*h + 1545 for h. 25 Solve 4041*b - 3303*b + 7793 = 49859 for b. 57 Solve -790*j = 1033*j - 1567*j + 2920 + 6296 for j. -36 Solve 1282 - 1826 - 1766 = 105*n for n. -22 Solve -706*k + 1267 = -13559 for k. 21 Solve -82971*n + 82957*n + 618 + 26 = 0 for n. 46 Solve 554 = 78*f + 13*f - 811 for f. 15 Solve 4816 - 8900 = 3*k - 4372 for k. 96 Solve 737939*t = 738013*t - 5698 for t. 77 Solve 0 = -28509*d + 28448*d + 366 for d. 6 Solve 84299 = 2205*k - 74461 for k. 72 Solve 823*p + 470*p - 37601 = -11741 for p. 20 Solve -31612 = -911*h + 9383 for h. 45 Solve -2377*y - 52210 = 2754*y + 35017 for y. -17 Solve 3452*g + 17506 + 26883 = -35007 for g. -23 Solve -462249 = -6420*f + 269631 for f. 114 Solve 65*y - 85 + 4561 = 381 for y. -63 Solve -3533*v + 2701*v = -19968 for v. 24 Solve -208*p = -46*p + 386 - 1545 + 187 for p. 6 Solve 180*j = 486*j - 1388*j - 607*j - 15201 for j. -9 Solve 1380*v - 74928 = 4056*v for v. -28 Solve 123*n - 56 = -35*n + 1208 for n. 8 Solve 395*h + 2522 + 2513 - 545 = 145 for h. -11 Solve 970*x + 38*x - 49100 = -956*x for x. 25 Solve 43*o - 125*o - 1808 - 2447 = 103*o for o. -23 Solve -296*v - 6682 = 334*v - 116*v for v. -13 Solve 486*y - 73*y = 471 + 1181 for y. 4 Solve 108*n + 25439 = -440*n - 2*n - 2611 for n. -51 Solve -133*l - 120*l = 56*l + 4130 + 8539 for l. -41 Solve -55591 = 2939*u - 91045 - 76228 for u. 38 Solve 207*n - 28*n + 310*n + 2067 = -8691 for n. -22 Solve -109*t - 42*t - 1015 = -72*t + 881 for t. -24 Solve 0 = -171*x + 57*x - 3589 - 3087 + 1432 for x. -46 Solve -4388356*c = -4388130*c - 6554 for c. 29 Solve 419*q + 108383 = 106288 for q. -5 Solve 955*d + 539*d - 62700 = -1641*d for d. 20 Solve -165743 = 2406*u - 26195 for u. -58 Solve 65431*y - 65374*y - 4104 = 0 for y. 72 Solve 0 = -290*q - 3630 + 1600 for q. -7 Solve 0 = -49*f - 248*f - 187*f - 19844 for f. -41 Solve -743*i = 73739 - 104202 for i. 41 Solve -26*v - 20246 = 184*v + 153*v + 19*v for v. -53 Solve -624*d = -27825 - 5247 for d. 53 Solve 0 = 2043*p + 248087 - 11099 for p. -116 Solve 2*o + 68*o - 11*o - 1040 - 1320 = 0 for o. 40 Solve -14546*u = -557306 - 55950 - 361326 for u. 67 Solve 0 = -6718*x + 45917 - 59353 for x. -2 Solve 75*o = -32895 + 24720 for o. -109 Solve -78120 = -42905*i + 45075*i for i. -36 Solve 0 = 726*f - 65910 + 104388 for f. -53 Solve 1104*h - 28 - 7700 = 0 for h. 7 Solve 338 - 83 = 67*c - 16*c for c. 5 Solve -998*t + 101*t - 999*t = -59*t - 67969 for t. 37 Solve -49*y + 2845*y + 209700 = 0 for y. -75 Solve 45*d + 28044 = 524*d + 1079*d for d. 18 Solve -3145 = 317*s - 8385 - 7440 for s. 40 Solve 172*t + 53*t = -257*t + 25064 for t. 52 Solve 0 = 534*z - 7245 - 5037 for z. 23 Solve -1473 - 2251 = -107*g - 1156 for g. 24 Solve 491*g + 22879 = 2458 + 1973 - 51765 for g. -143 Solve -4413*u + 819 = 4436*u - 8828*u for u. 39 Solve 38*o - 6875 = 183*o - 20*o for o. -55 Solve 646 - 454 = -17*w - 79*w for w. -2 Solve -1926*s + 2284*s + 13375 = -4109*s - 22361 for s. -8 Solve -1077 = 27*b + 4*b + 1954 - 2008 for b. -33 Solve -27099*r - 104815 - 120985 = -29900*r + 1081 for r. 81 Solve 1503*b - 276 = 1211*b + 16 for b. 1 Solve 9035008 - 9034552 = -24*c for c. -19 Solve 10754 - 18848 = 972*h + 19122 for h. -28 Solve 2823*i - 142539 - 74763 = -952 - 27209 for i. 67 Solve 0 = 46*n + 198539 - 194261 for n. -93 Solve -925 = 492*s + 3503 for s. -9 Solve 0 = 271*c + 210*c + 20683 for c. -43 Solve -6*c = -19*c - 11*c - 2*c - 494 for c. -19 Solve 46*a + 127*a - 19*a = -87*a - 11809 for a. -49 Solve 61*k + 1688 = -1677 - 1088 for k. -73 Solve -431*b + 611989 - 598197 = 0 for b. 32 Solve 0 = -27490*p + 27889*p - 16359 for p. 41 Solve 29857*r - 2730014 = 537808 - 291560 + 1353003 for r. 145 Solve 6874*u - 11540*u = -23330 for u. 5 Solve -1173*y = 5517*y - 330161 + 101189 - 105528 for y. 50 Solve 28*y + 1133*y + 93960 = -1971*y for y. -30 Solve 450667*q = 450552*q - 5290 for q. -46 Solve -6973*w + 2 - 4 + 2 = 2076*w for w. 0 Solve 16657*m - 17901*m - 49760 = 0 for m. -40 Solve -18*k - 751 + 1588 + 873 = 0 for k. 95 Solve -244268 = 24*m - 244532 for m. 11 Solve 90*c + 450 + 125 + 1135 = 0 for c. -19 Solve -63*m + 926 + 265 + 195 = 0 for m. 22 Solve 11*s + 3407 = 2835 for s. -52 Solve 11390 - 3322 = 392*a - 14633 - 1995 for a. 63 Solve 0 = -4*g - 51 + 39 for g. -3 Solve 21319*d - 21184*d = 7155 for d. 53 Solve 0 = -1225*o + 454*o + 595*o - 176 for o. -1 Solve 0 = -96*y + 9*y + 1792 + 1514 for y. 38 Solve 565*x = 1555 - 12799 - 4011 for x. -27 Solve -558*x = 638*x - 1096*x - 7400 for x. 74 Solve 250 + 285 = -132*m + 8228 + 5639 for m. 101 Solve 218*a + 11612 = -13831 + 22609 for a. -13 Solve -264 + 491 = 74*b + 1722 + 1095 for b. -35 Solv
{ "pile_set_name": "DM Mathematics" }
st the prime factors of 4/(-16)*40/i + 289. 2, 3, 7 Suppose -26 = -4*q - 5*p, -5*q + 7*p = 10*p - 26. Suppose 0*h = -4*h - q, -5*b = h - 8809. List the prime factors of b. 2, 881 Let x = -53116 - -83598. What are the prime factors of x? 2, 15241 Let p(u) = -39*u - 38. Let j(c) = -3*c + 23. Let g be j(15). What are the prime factors of p(g)? 2, 5, 41 Suppose 5*s - 11*b - 23417 = -15*b, b - 23408 = -5*s. What are the prime factors of s? 31, 151 Let z(p) = 3*p**3 + 3*p**2 - 4*p + 4. Let x = 42 - 42. Suppose -w + x*w = -f + 2, 4 = 2*f - 4*w. List the prime factors of z(f). 2 Let z = -98 + 94. What are the prime factors of z/12 - (-2 - 1144/3)? 383 Let l = 44559 - 107. What are the prime factors of l? 2, 11113 Let d be (-178584)/(-98) - 6/21. Let q = -833 + d. What are the prime factors of q? 23, 43 Let p = 31325 - 16871. Let r be 3*(-2)/(-4) + p/36. Suppose r = 2*l - 4*k - 155, -5*l - 4*k = -1381. What are the prime factors of l? 277 Let q = 133 - -139. Let y = q - 789. Let s = -330 - y. List the prime factors of s. 11, 17 Suppose -5*v - 36 = -n, 2*n - n - 2*v - 42 = 0. Let w = 37 - n. What are the prime factors of -44*(w/4 - 2)? 11, 17 Let o = -262 - 326. Let d = o + 945. List the prime factors of d. 3, 7, 17 Let d = 62 + -98. Let f be -6*((-4)/18 + 700/d). What are the prime factors of f + -12 + 4/(-1)? 2, 3, 17 Let m(v) = 74*v**2 + v + 220. List the prime factors of m(-13). 12713 Suppose o - 11 = 23. Let a = 475 - 350. Suppose o = -g + a. What are the prime factors of g? 7, 13 Suppose -2185130 = -98*t - 162116. List the prime factors of t. 3, 7, 983 Let t = 49 + -56. Let c be ((-786)/8)/((-1)/(t + 3)). Let p = -281 - c. What are the prime factors of p? 2, 7 Let o = -233 + 623. Suppose -2*v + 226 = -4*d - 170, -2*v - 2*d = -o. What are the prime factors of v? 2, 7 Let o = -53 + 117. Suppose f + 5*y + o = 5*f, -5*f + 80 = -4*y. Suppose -f*w - 148 = -18*w. What are the prime factors of w? 2, 37 Let m = 13214 - -46602. List the prime factors of m. 2, 7477 Let j(z) = -94 - 57*z + 45 - 61 - 42 + 107*z. What are the prime factors of j(4)? 2, 3 Suppose -5 + 15 = 5*f. Suppose -f*n + 13 = -103. What are the prime factors of n? 2, 29 Suppose 2 - 12 = 5*k, 3*l + k = -1058. Let m = 801 + l. List the prime factors of m. 449 What are the prime factors of -117 + 4091 - 28/2? 2, 3, 5, 11 Let x(v) = 175 - 91 - v**3 + 296. Let t be x(0). Suppose -20*s + 15*s + t = 0. List the prime factors of s. 2, 19 Let s(d) = -d**3 + 3*d**2 + 9*d + 3. Let y be s(6). Let a = 20 - y. What are the prime factors of a? 71 Let w(y) = 2*y**3 - 4*y**2 + 18*y + 8. Let m be 3*((-88)/3)/(-11). What are the prime factors of w(m)? 2, 5, 23 Suppose 76 = -17*l + 15*l + 3*b, -2*l + 5*b - 68 = 0. What are the prime factors of (-4653)/l + 2/8 - -2? 2, 3 Let i(b) = -b**3 - b**2 + 2*b - 7. Suppose 15*z - 20*z = 15. Let k be i(z). Let o(x) = 3*x**2 + x - 12. List the prime factors of o(k). 2, 17 What are the prime factors of (-1 + 4/6)/((-6)/135180)? 2, 5, 751 Let j = -100 + 107. Suppose -297 = x - 2*r, 2*x - 3*r + j = -591. List the prime factors of (12/20 + (-24)/15)*x. 5, 61 Let h = 383 + -380. List the prime factors of (291/15)/((18/h)/30). 97 Let s(o) be the second derivative of -157*o**3/6 + 19*o**2/2 + 30*o + 3. What are the prime factors of s(-6)? 31 Suppose -57*a - 842 = -58*a + n, -a - 2*n = -827. What are the prime factors of a? 3, 31 Suppose 4*g - 29 = -5*k, 5*k - 9*k + 16 = 5*g. Suppose -486 - 585 = -k*r. List the prime factors of r. 7, 17 Let s be 175/((85/130)/17). Let h = s - 2970. List the prime factors of h. 2, 5, 79 Let s be 108/15*420/63. Suppose 0 = 81*f - s*f - 13926. What are the prime factors of f? 2, 211 Suppose 0 = 3*n - 1537 - 536. Suppose 16*y - 3533 = n. List the prime factors of y. 2, 3, 11 Let p be (6 - 5)/((-1)/(-4)). Suppose a + 42 = -3*v - 2*a, 0 = 4*a + p. Let t(m) = -m**3 - 11*m**2 + 20*m + 15. What are the prime factors of t(v)? 3, 31 Let v be (-96)/9*(-4)/((-32)/(-1140)). Suppose -9*i = -13*i + v. Suppose -3*h + i = h. What are the prime factors of h? 5, 19 Suppose 5*i = p - 65, p - 5*i = 3*p - 55. What are the prime factors of ((-1084)/10)/((-8)/p)? 2, 271 Let k = 2 - -10. Suppose 2688 = -4*t + k*t. List the prime factors of t. 2, 3, 7 Let o = 45 - 42. Suppose -o = -5*p + 157. Suppose -12 = p*q - 36*q. List the prime factors of q. 3 Let y(v) = -v**3 + 2*v + 108. Let z be y(0). Suppose 0 = 210*c - 209*c - z. List the prime factors of c. 2, 3 Suppose -608148 + 103554 = -153*c. What are the prime factors of c? 2, 17, 97 Let d(z) = 8*z + 1. Let q(s) = s**3 - 5*s**2 + 2*s - 10. Let i be q(5). Suppose i*n + 4*n = 44. List the prime factors of d(n). 89 Suppose 0*t + 5*t = 5. Let p be (3 - 4)*1 - (t - 4). What are the prime factors of (p + 2)/((-4)/(-32))? 2 Let m = 1164 + -571. Suppose f + 71 = m. List the prime factors of f. 2, 3, 29 Let b(d) = -5*d**2 + 19*d + 32. Let g(k) = -9*k**2 + 37*k + 63. Let n(w) = -7*b(w) + 4*g(w). Let i be n(18). Let u = i - -125. What are the prime factors of u? 3, 11 List the prime factors of (1300/(-12) - -13)*(0 - (-366)/(-4)). 11, 13, 61 Suppose 4*c = 2*h - 58992, -57*c + 52*c = 20. What are the prime factors of h? 2, 19, 97 Suppose -26*r + 168 = -14*r. List the prime factors of (52/r)/(24/672). 2, 13 List the prime factors of (-16384)/(-18) - (286/(-117))/(-11). 2, 5, 7, 13 Let d be 0*3/6 - (1 - 518). Let t = d - 207. Suppose t = 3*g + 7*g. List the prime factors of g. 31 Suppose 2*a + 0 = -3*c + 8, 0 = 3*c - 4*a - 2. Suppose 0 = 2*s + k + 2, -4 + c = -5*s + k. List the prime factors of 3/(-9)*s + -4 + 37. 3, 11 Let f = 73 - 24. Let k = 45 - f. What are the prime factors of 820/k*(6/(-10) + 0)? 3, 41 Let h(o) = 251*o**2 - 5*o - 1. Let v be h(-3). Suppose -g - 2*x + 638 = 0, 0 = 4*g + x - v - 307. What are the prime factors of g? 2, 17, 19 Suppose 30*l + 4*p + 48247 = 35*l, 5*l = -5*p + 48310. List the prime factors of l. 5, 1931 Suppose -61479 = -3*n + 4*p + 128416, 0 = -5*n - p + 316530. List the prime factors of n. 5, 11, 1151 Suppose -20 = -4*r + 9*a - 5*a, 4*a = -8. Let i be ((-1)/1)/(r/(-3)). List the prime factors of 506/(3 + -2 + i) - 2. 251 Suppose -106011 - 544209 = -39*o - 21*o. List the prime factors of o. 10837 Suppose -7*v - 39152 = -165908. What are the prime factors of v? 2, 3, 503 Suppose 5*y + 35 = 0, -3*l - y - 34840 + 130812 = 0. What are the prime factors of l? 13, 23, 107 Let q be 5*(1160 + -7 + 1). Suppose 2098 = -8*u + q. List the prime factors of u. 3, 17 What are the prime factors of ((-526)/58 - 4/(-58)) + 43945? 2, 1373 Let n(j) = -14*j + 1. Let v be n(7). Let b = v - -96. What are the prime factors of (-1 + b + 3)/((-1)/(-97))? 97 Let b(x) = -x**3 - 18*x**2 - 45*x - 89. Suppose -2*s - 5*z = -4*z + 37, -4*s - 53 = -5*z. List the prime factors of b(s). 3, 43 Suppose u - 2*f + 508 - 4793 = 0, 0 = -2*u - 4*f + 8562. List the prime factors of u. 4283 Let k = 15659 - -3583. List the prime factors of k. 2, 3, 1069 Let f(x) = 2996*x**3 + x**2 - 257*x + 517. List the prime factors of f(2). 5, 7, 137 List the prime factors of -4 + 7 - (-5879 + -7). 3, 13, 151 Let a(s) = -84*s**3 + 63*s**2 + 17*s + 6. List the prime factors of a(-5). 2, 2999 Suppose -w + 4 = o, -5*w + 0*o = 3*o - 18. Let q be (-2)/(2/(-400)*2) + w. Let r = q - 128. What are the prime factors of r? 3, 5 Suppose 2*s + 63 - 369 = -4*z, -3*z + 786 = 5*s. List the prime factors of s. 3, 53 Let r = 67610 - 34030. What are the prime factors of r? 2, 5, 23, 73 Let c(o) = 198*o**2 + 33*o - 86. List the prime factors of c(4). 2, 1607 Suppose -30*a + 6650 = -16*a. What are the prime factors of a? 5, 19 Suppose -3*k - 4*g + 12 = k, 3*g = k + 17. Let v(z) = 5*z + 5. Let j be v(k). Let p(n) = -n**3 - n**2 + 8*n + 7. What are the prime factors of p(j)? 67 Let d be -3 - (-47 - (-4 + -2 + 3)). Let r = 601 - d. List the prime factors of r. 2, 5, 7 Suppose 0 = -4*f + 12, 4*f - 18 = -2*x - 0*f. Suppose 0 = -x*u + 5*u - 3*z - 6, u + z - 8 = 0. What are the prime factors of (-436)/(-8)*(-4 + u)? 109 Let f be -75*((-2)/((-30)/35) - 3). Suppose f*t = 6*t + 30448. List the prime factors of t. 2, 173 Let g(l) = 82*l - 73. Let x be g(-5). Let t = x + 681. What are the prime factors of t? 2, 3, 11 Suppose v - 11 = -5*d, -6*d + 4*d + 2 = v. Let y be (-6)/4*(173 - -1). Lis
{ "pile_set_name": "DM Mathematics" }
ect the terms in 2*c**3 - 287 + 95*c - 284 - 289 + 858. 2*c**3 + 95*c - 2 Collect the terms in -20087*p**2 + 3348*p**2 - 11536*p**2. -28275*p**2 Collect the terms in -1061360*k**2 + 530876*k**2 + 530496*k**2. 12*k**2 Collect the terms in 23*u - 2 + 1 - 20*u + 140*u**2 - 27*u**2 - u. 113*u**2 + 2*u - 1 Collect the terms in -5 - 4*w**2 + 4*w**2 - 4*w**2 - 1069*w + w**2. -3*w**2 - 1069*w - 5 Collect the terms in -42*i - 45*i + 35*i + 159*i - 40*i - 39*i - 47*i. -19*i Collect the terms in 1408 + 58140*c**3 - 1408 - 14126*c**3. 44014*c**3 Collect the terms in -38892 + 10*c**2 - 38542 - 14*c**2 + 77434. -4*c**2 Collect the terms in 47*z + 1991*z**2 - 97*z + 25*z + 25*z. 1991*z**2 Collect the terms in -30*o**3 - 60652011 + 2*o**2 + 60652011 + o. -30*o**3 + 2*o**2 + o Collect the terms in -2971*m**3 + 3124*m**3 - 187*m**3. -34*m**3 Collect the terms in 111*w**2 - 108*w**2 + 3179399 - 3179335. 3*w**2 + 64 Collect the terms in 2305 - 1142 - 119*c**2 - 1164. -119*c**2 - 1 Collect the terms in 3936 - 1315 - 1313 - 1308 - 21*l**2 + 17*l**2. -4*l**2 Collect the terms in -1 + 0 - 226*l**2 - 505*l - 203*l + 222*l**2. -4*l**2 - 708*l - 1 Collect the terms in -14654666846371*z**2 + 3*z**3 + 14654666846371*z**2. 3*z**3 Collect the terms in -374*n - 52*n + 158*n + 1 - 364*n. -632*n + 1 Collect the terms in -269*d**3 - 48*d**3 - 1288*d**3. -1605*d**3 Collect the terms in 57145 + 15*p**2 + p**2 + 2*p**2 + 0*p**2 - 17*p**2 - 57145 - 2*p**2. -p**2 Collect the terms in -34*s**3 - 556*s - 36*s**3 + 1860*s. -70*s**3 + 1304*s Collect the terms in 2268*k + 2273*k + 2275*k + 2278*k - 13630*k + 2264*k + 2268*k. -4*k Collect the terms in -46037 + 46037 + 4*v**2 - 4*v**2 - 15603*v**3. -15603*v**3 Collect the terms in -67*c - 653 + 316 + 337 - 498*c. -565*c Collect the terms in -257 - 69*b + 107 + 72*b + 52 + 50 + 48. 3*b Collect the terms in -23*p - 356*p**2 - 2 + 2 - 329*p**2 + 619*p**2. -66*p**2 - 23*p Collect the terms in 0*f**3 - 3030 - 2*f**3 - 73181*f + 73181*f. -2*f**3 - 3030 Collect the terms in 346420*q**2 - 8197*q - 346416*q**2 + 2303*q. 4*q**2 - 5894*q Collect the terms in 4*i**2 - 9 + 460*i - 2235*i + 885*i + 890*i. 4*i**2 - 9 Collect the terms in -30*b - 14*b - 24*b - 3454 + 3455 - 20*b + 120*b - 13*b. 19*b + 1 Collect the terms in -74 + 8 + 14 - 425*l - 1285*l + 52. -1710*l Collect the terms in 880663*y - 1761397*y + 880734*y + 4 + 13*y**2. 13*y**2 + 4 Collect the terms in 125 + 129 - 387 - 367*i + 1701*i + 129. 1334*i - 4 Collect the terms in 1496859421*x**3 - 1 - 1496859399*x**3 + 2. 22*x**3 + 1 Collect the terms in 3 - 2*h - 2 + 6*h**2 - 678*h**3 - 4*h. -678*h**3 + 6*h**2 - 6*h + 1 Collect the terms in -289*x**2 + 16 - 142*x**2 - 16 + 31*x**2 - 8*x**3 - 2. -8*x**3 - 400*x**2 - 2 Collect the terms in t**2 + 528 - 528 - 10*t**3 + 380*t. -10*t**3 + t**2 + 380*t Collect the terms in 3572 - 1758 - 1814 - 781*t**2. -781*t**2 Collect the terms in 3*d + 0*d + 5335*d**2 - 8*d + 13667*d**2. 19002*d**2 - 5*d Collect the terms in 5*r - 12 + 1 + 3 - 465*r**2 + 5. -465*r**2 + 5*r - 3 Collect the terms in -685*u + 0*u**2 - 3297*u + 4*u**2 - 1742*u. 4*u**2 - 5724*u Collect the terms in -x**2 + 81287*x**3 + 285257*x**3 + x**2. 366544*x**3 Collect the terms in 27*d - 53*d**2 + 162*d**2 - 1472*d**3 - 109*d**2. -1472*d**3 + 27*d Collect the terms in 6785*g**3 - 3 - 11*g**2 + 6727*g**3 - 13644*g**3. -132*g**3 - 11*g**2 - 3 Collect the terms in -1407*s - 14665*s + 2981*s - 5422*s. -18513*s Collect the terms in 459*x**2 + x - x - 1353*x**2 + 6 + 431*x**2 + 464*x**2. x**2 + 6 Collect the terms in 9924*k - 10 - 11880*k + 10. -1956*k Collect the terms in 2*x + 0*x**2 + 637261 - 637278 + 2*x**2 + 0*x**2. 2*x**2 + 2*x - 17 Collect the terms in -148 - 232 - 149 - 2*o**2 - 7*o - 154 + 683. -2*o**2 - 7*o Collect the terms in 11*w**2 + 21*w**2 - 31*w**2 + 33*w**2 - 2 + 8*w - 4*w. 34*w**2 + 4*w - 2 Collect the terms in 5*x**2 + 1317*x - 3481*x + 2*x**2 + 2164*x. 7*x**2 Collect the terms in 655 + s**2 + 3560 - 11*s + 4259. s**2 - 11*s + 8474 Collect the terms in 5379*d**3 + 552*d**3 + 456*d**2 - 456*d**2. 5931*d**3 Collect the terms in -346*t**2 - t + 203086 - 203086 + 76*t**2 - 218*t**2. -488*t**2 - t Collect the terms in -31 - 3 - 105*n + 34 + 2 - 2. -105*n Collect the terms in -160*o**2 - 638*o**2 - 689*o**2 + 155*o**2 - 376*o**2. -1708*o**2 Collect the terms in 312*q - 322*q - 1288*q. -1298*q Collect the terms in -4043*k**2 - 125932*k**2 - 27716*k**2. -157691*k**2 Collect the terms in -104*z + 54*z + 50*z + 8584*z**2. 8584*z**2 Collect the terms in -532*g**3 + g + 1633*g**3 - g - 1049*g**3. 52*g**3 Collect the terms in 88*h - 10*h - 520 + 520. 78*h Collect the terms in 3*m**2 + 661*m + 1122*m + 1121*m - 2895*m. 3*m**2 + 9*m Collect the terms in -269*l**2 - 4*l**2 - 91 - 7 + 45*l - 25*l**2. -298*l**2 + 45*l - 98 Collect the terms in -1 + 25622*m + 25625*m + 25694*m + 25631*m + 1 - 128190*m + 25621*m. 3*m Collect the terms in 1738*a + 3957*a + 3 - 2. 5695*a + 1 Collect the terms in 0 + 0 + 177*t + 254*t - 598*t. -167*t Collect the terms in -15365*y - 15330*y + 61445*y - 15366*y - 15349*y. 35*y Collect the terms in -60169*b**3 + 41793*b**3 + 215913*b**3. 197537*b**3 Collect the terms in -266*m**3 - 8 + 2071*m**3 + 2160*m**3 - 5 + 13. 3965*m**3 Collect the terms in 14*a + 378 + 4*a - 7262 - 857. 18*a - 7741 Collect the terms in 3503*z + 67449*z + 29848*z - 2295*z. 98505*z Collect the terms in 402*m - 40 - 172 + 212. 402*m Collect the terms in 264 - 314*h**3 - 638 + 106 + 268. -314*h**3 Collect the terms in 266758466*u - 266758466*u - 121*u**2 - 117*u**2 + 362*u**2 - 123*u**2. u**2 Collect the terms in 18480*c**2 - 8589*c**2 - 8599*c**2. 1292*c**2 Collect the terms in 4311*k**3 - 2949*k + 2949*k. 4311*k**3 Collect the terms in 30816*m + 122276*m - 234217*m - 281184*m. -362309*m Collect the terms in -2 + 8472586*l**3 - 4236287*l**3 - 4236294*l**3 + 2. 5*l**3 Collect the terms in 1460*i**2 - 4108*i**2 + 2003*i**2. -645*i**2 Collect the terms in 25*t**3 + 1439499813*t**2 + 68*t**3 - 1439499813*t**2. 93*t**3 Collect the terms in -3620 + 9*n + 9*n + 13*n + 11*n - 40*n. 2*n - 3620 Collect the terms in 86692*k**2 + 4 + 3878*k**2 - 2 - 2. 90570*k**2 Collect the terms in 81383*s**2 + 4*s - 81383*s**2 - 5*s + 38*s**3 + s. 38*s**3 Collect the terms in -5743*j**3 + 11443*j**3 - 5733*j**3 - 230*j + 230*j. -33*j**3 Collect the terms in -106*m**2 - 96*m**2 - 101*m**2 + 402*m**2 + 5 - 105*m**2. -6*m**2 + 5 Collect the terms in 439932*w - 219356*w - 219576*w. 1000*w Collect the terms in -29332*i**2 + 6742*i**2 + 6*i + i. -22590*i**2 + 7*i Collect the terms in 1530925*t + 138460*t + 1373051*t. 3042436*t Collect the terms in 43*c - 141*c - 291*c + 94*c - 825*c - 476*c. -1596*c Collect the terms in 11 - 15 - 11757*c - 107903*c + 4. -119660*c Collect the terms in 11071*n**3 + 22715*n**3 + 2485*n**3. 36271*n**3 Collect the terms in 18313*h - 36558*h + 394*h**2 - 73*h**2 + 18245*h. 321*h**2 Collect the terms in -1659391*t**2 + 5 - 5 - 1659374*t**2 + 3318774*t**2. 9*t**2 Collect the terms in 26155669 + 26155646 - 2*n**2 - 52311315. -2*n**2 Collect the terms in 9 + 13*i**2 + 1 + 95*i**3 + 54*i**2 - 97*i**3. -2*i**3 + 67*i**2 + 10 Collect the terms in 11*o**2 - 4*o**2 - o**2 - 581*o + o**3. o**3 + 6*o**2 - 581*o Collect the terms in -279*f**2 - 275*f**2 - 280*f**2 - 3*f + 0*f - 292*f**2 + 1147*f**2. 21*f**2 - 3*f Collect the terms in -31487845 - 31487847 - 8*x + 3*x + 62975692. -5*x Collect the terms in 174*q**3 - 9688 + 2*q + 9688. 174*q**3 + 2*q Collect the terms in -24*y + 43*y + 21*y + 885 - 294 - 289 - 302. 40*y Collect the terms in 21*x + 5*x + 208*x**2 + 214*x**2 + 214*x**2 - 634*x**2. 2*x**2 + 26*x Collect the terms in -5535*b - b**2 - 5554*b - 5542*b + 16631*b. -b**2 Collect the terms in 993*u**3 - 392*u**3 + 1472*u**3 - 204*u**3. 1869*u**3 Collect the terms in -29324*a**3 + 3140*a**3 + 26189*a**3. 5*a**3 Collect the terms in -72*y**2 - 178*y**2 + 419*y**2 - 151*y**2. 18*y**2 Collect the terms in -734*b - 2277*b - 3571*b - 2395*b + 1165*b. -7812*b Collect the terms in -35*v**3 - 72*v**3 + 108*v**3 - 65. v**3 - 65 Collect the terms in -70*t**3 + 226*t**3 - 1 - 1307*t**3 + 0. -1151*t**3 - 1 Collect the terms in 191 + 5*h**3 - 117*h**2 + 117*h**2. 5*h**3 + 191 Collect the terms in 32*n - 26*n - 2*n + 3 + 2*n
{ "pile_set_name": "DM Mathematics" }
55618528? True Does 63 divide 14351904? True Is 3658 a factor of 56592918? True Is 186 a factor of 1684730635? False Is 258589827 a multiple of 130? False Is 31315065 a multiple of 200? False Is 22291142 a multiple of 19? True Is 48459777 a multiple of 157? True Does 114 divide 296409690? True Does 2 divide 68051261? False Is 536 a factor of 157942313? False Is 297 a factor of 51833355? False Is 39625560 a multiple of 2340? True Is 1921631050 a multiple of 1246? False Does 19 divide 365526949? False Does 12 divide 100363335? False Is 7704 a factor of 1007752356? False Is 3137090110 a multiple of 110? True Is 116 a factor of 82140528? True Does 48 divide 6129119952? True Does 238 divide 171449726? True Is 317 a factor of 65770209? True Is 1234 a factor of 417793397? False Is 3827 a factor of 340267306? False Is 13078276 a multiple of 12? False Is 9 a factor of 314667? True Is 9484598 a multiple of 617? False Does 17 divide 31718770? True Is 2376276 a multiple of 12? True Does 84 divide 66965472? True Does 371 divide 47146309? True Is 56835353 a multiple of 114? False Does 53 divide 21435235? False Does 24 divide 61130553? False Is 528367535 a multiple of 4993? False Is 8233497 a multiple of 9? True Is 64 a factor of 575459468? False Is 49853520 a multiple of 680? True Is 476032365 a multiple of 19? True Is 20 a factor of 479626042? False Is 97610432 a multiple of 461? False Is 1274368 a multiple of 64? True Is 84602272 a multiple of 4? True Does 2460 divide 128987640? True Is 186 a factor of 983207646? False Is 121866287 a multiple of 131? True Is 922035486 a multiple of 1187? True Is 71 a factor of 14603626? False Does 130 divide 2848515? False Does 25 divide 36367050? True Is 1503 a factor of 115747533? True Is 14 a factor of 7910070? True Does 64 divide 232374784? True Does 3007 divide 122324445? False Is 313302968 a multiple of 383? False Is 6 a factor of 239315451? False Is 62569698 a multiple of 1201? True Is 3138 a factor of 295872606? True Does 11 divide 54187177? True Does 15 divide 200371964? False Is 7829292 a multiple of 19? True Is 882 a factor of 156119845? False Does 125 divide 6241000? True Is 358460884 a multiple of 74? True Is 19130116 a multiple of 15? False Does 30 divide 51205890? True Does 42 divide 75129399? False Is 799240 a multiple of 13? True Is 51 a factor of 53352171? True Does 19 divide 28700431? True Is 6856343 a multiple of 13? True Is 483283800 a multiple of 30? True Does 290 divide 123940896? False Is 2531618 a multiple of 3? False Does 38 divide 2619834? True Is 326945619 a multiple of 21? True Is 1021 a factor of 107222479? False Is 334625176 a multiple of 5? False Does 1630 divide 156346340? True Is 11 a factor of 208983964? False Does 316 divide 15972651? False Is 480714390 a multiple of 4635? True Does 4394 divide 584191088? True Is 28650401 a multiple of 460? False Is 4 a factor of 1067097? False Does 72 divide 14644566? False Is 17281103 a multiple of 13? False Is 47 a factor of 9983802? False Does 32 divide 3156704? True Is 4308930515 a multiple of 1895? False Does 80 divide 62651840? True Is 2287 a factor of 38632004? True Is 3 a factor of 8250294? True Does 19 divide 25193259? True Does 951 divide 31444255? False Is 5616196284 a multiple of 28? False Is 611631394 a multiple of 17? False Is 7163372 a multiple of 380? False Is 559538978 a multiple of 202? False Does 7568 divide 3996871546? False Is 34800519 a multiple of 13? True Is 988401870 a multiple of 194? True Does 206 divide 180978828? True Is 2263201586 a multiple of 161? False Is 239 a factor of 32994189? True Is 27 a factor of 26520680? False Does 306 divide 500323464? True Is 257492109 a multiple of 1108? False Is 5 a factor of 23444264? False Does 11 divide 779726695? True Does 624 divide 746865377? False Is 35 a factor of 15177890? True Is 131555613 a multiple of 3? True Is 224877840 a multiple of 15? True Is 24 a factor of 49788792? True Is 24840349 a multiple of 44? False Is 13396249 a multiple of 13? False Does 217 divide 64384518? False Is 641107264 a multiple of 68? True Does 960 divide 5071680? True Is 1535207589 a multiple of 199? True Is 309749271 a multiple of 199? True Does 23 divide 40576046? False Is 980243098 a multiple of 38? True Is 48 a factor of 2588405952? True Is 9085002 a multiple of 13? False Is 2057651304 a multiple of 51? True Is 13720599 a multiple of 55? False Is 81 a factor of 38325430? False Is 50 a factor of 255200550? True Is 137487294 a multiple of 3906? True Does 51 divide 2363593595? False Is 599951016 a multiple of 36? True Is 2380219168 a multiple of 32? True Is 10 a factor of 6903250? True Is 2571 a factor of 857867036? False Is 1507159448 a multiple of 364? False Does 11 divide 83080624? True Does 44 divide 9002550? False Is 2598513189 a multiple of 2917? True Is 850786816 a multiple of 176? True Is 2931 a factor of 518593554? True Is 36 a factor of 6619140? True Does 605 divide 14287075? True Is 856 a factor of 157513285? False Is 3341 a factor of 783116275? False Is 993 a factor of 281859078? True Is 350 a factor of 5098424100? True Is 288 a factor of 3693508? False Does 1606 divide 532149706? True Does 453 divide 199409694? True Is 1060 a factor of 414696380? True Does 32 divide 380091168? True Is 243371904 a multiple of 16? True Is 2605496 a multiple of 3? False Does 4 divide 313957584? True Is 46266710 a multiple of 665? True Does 104 divide 312129360? False Is 124 a factor of 70397404? True Does 832 divide 2499506048? True Does 23 divide 9926931? False Is 15834144 a multiple of 57? True Is 43086654 a multiple of 39? True Is 1576613399 a multiple of 1720? False Is 52600102 a multiple of 431? True Is 550801251 a multiple of 117? True Is 168795298 a multiple of 46? True Is 47 a factor of 929215070? False Is 230 a factor of 569872237? False Is 6 a factor of 99650820? True Does 655 divide 86194070? True Does 3 divide 132890221? False Is 10 a factor of 1356663196? False Is 132028132 a multiple of 1407? False Is 23174912 a multiple of 3363? False Is 41 a factor of 1112945? True Does 3857 divide 3422258362? False Does 163 divide 199381437? True Is 20709076 a multiple of 2? True Is 1569 a factor of 34007695? False Does 53 divide 24941505? False Is 53 a factor of 30878277? True Does 34 divide 265083272? False Does 68 divide 242312408? False Does 5 divide 436532861? False Is 141827499 a multiple of 23? True Does 84 divide 226497325? False Is 26838150 a multiple of 119? False Is 1290 a factor of 58482150? True Is 11566 a factor of 2007689639? False Is 6963 a factor of 797973726? True Is 294 a factor of 254423463? False Does 370 divide 55777500? True Is 561 a factor of 10774566? True Is 1449961391 a multiple of 3? False Is 62495594 a multiple of 7? True Is 1438 a factor of 73373950? True Is 784877688 a multiple of 27? True Is 57 a factor of 1052586282? True Is 12269 a factor of 2603923484? True Is 135 a factor of 3308433686? False Does 1774 divide 1266485210? True Is 99355590 a multiple of 299? False Is 172 a factor of 10160728? True Is 49362015 a multiple of 5? True Is 19 a factor of 16122826? False Does 62 divide 23658680? False Does 111 divide 137520453? True Is 5041050 a multiple of 70? True Is 82 a factor of 54969848? True Is 88945200 a multiple of 31? True Is 101698050 a multiple of 156? False Is 141584730 a multiple of 35? True Is 23098377 a multiple of 227? False Is 162711800 a multiple of 19? False Is 13 a factor of 12035855? True Is 63 a factor of 28970215? False Is 143795555 a multiple of 24? False Does 3453 divide 85442903? False Is 27 a factor of 89073874? False Does 28 divide 7055916? True Is 37828512 a multiple of 54? True Is 1101979683 a multiple of 63? True Is 432 a factor of 1213568352? True Is 51 a factor of 12167682? True Is 23355928 a multiple of 34? False Does 122 divide 109627000? False Is 1874 a factor of 54531569? False Does 12 divide 237659479? False Is 497677436 a multiple of 22? False Is 1067 a factor of 62915102? False Does 6 divide 30497706? True Is 1378 a factor of 216719583? False Does 12 divide 1142452929? False Is 11 a factor of 1561282657? True Is 8 a factor of 722224048? True Is 1134236265 a multiple of 25? False Is 10 a factor of 2632538520? True Does 3 divide 45016675?
{ "pile_set_name": "DM Mathematics" }
olve 295 = -179*y - 242 for y. -3 Solve 436*a = 449*a + 65 for a. -5 Solve 28*c - 20*c = 152 for c. 19 Solve 11*i = 23*i - 24 for i. 2 Solve 314*g + 170*g + 4866 = -4330 for g. -19 Solve -259*k - 3 = -59*k + 1797 for k. -9 Solve 42*s = 327*s + 125*s for s. 0 Solve 0 = 39*a - 40 - 80 + 3 for a. 3 Solve -513 = 2134*j - 2115*j for j. -27 Solve r = -5039 + 5036 for r. -3 Solve 63 - 126 = -2*y - 67 for y. -2 Solve -p + 71 + 439 = 50*p for p. 10 Solve -40035*t = -39965*t - 1470 for t. 21 Solve 543*m = 259*m + 259*m + 325 for m. 13 Solve -420*l + 176 = 430*l - 861*l for l. -16 Solve -92*k + 1938 = 246 - 976 for k. 29 Solve 6*p + 20 = 44 for p. 4 Solve 16*o = 23021 - 23005 for o. 1 Solve -5656 = -179*s + 79*s - 102*s for s. 28 Solve 297*v - 160 = -292*v + 579*v for v. 16 Solve 109*r = -215*r - 1620 for r. -5 Solve -399*l = -345*l + 409*l - 463 for l. 1 Solve 3365*k = 3136*k - 2290 for k. -10 Solve -4*v = 242 - 270 for v. 7 Solve -1252*j + 10744 + 9521 = 3989 for j. 13 Solve -336*r - 54 = -301*r - 474 for r. 12 Solve -860*p = -894*p + 374 for p. 11 Solve -239 = 38*o - 845 + 226 for o. 10 Solve -16*i - 276 + 52 = 0 for i. -14 Solve 16 - 94 = -22*c + 28*c for c. -13 Solve -6*m + 133215 = 133149 for m. 11 Solve -1673*h + 2164*h = -17185 for h. -35 Solve -45*a - 2244 = -68*a - 109*a for a. 17 Solve -1012124*a - 516 = -1012081*a for a. -12 Solve 3456 - 3441 = 3*i for i. 5 Solve -93*k - 113*k + 3654 = -1496 for k. 25 Solve -122*s = -342 + 708 for s. -3 Solve -158*h + 104 - 262 = 0 for h. -1 Solve 0 = 248*y - 28*y + 1980 for y. -9 Solve 59 = -18*w - 10*w - 25 for w. -3 Solve -1332 + 4835 = 398*d - 6049 for d. 24 Solve -22331*h + 22351*h = 160 for h. 8 Solve -103*q + 915*q + 9925 + 2255 = 0 for q. -15 Solve -46*i + 24 = -49*i for i. -8 Solve 125*h = 116*h + 27 for h. 3 Solve -19*f - 13*f + 83 + 109 = 0 for f. 6 Solve 2*a + 1782 = 144*a - 61*a for a. 22 Solve 1205*h - 225 - 5139 = -136*h for h. 4 Solve 11*m - 14*m - 126 = 39*m for m. -3 Solve -70*z = -22*z + 51*z - 1089 for z. 11 Solve 5*o + 18*o + 28*o + 51 = 0 for o. -1 Solve 102*c + 2540 + 34 = 3*c for c. -26 Solve -207*o - 1744 = -295 for o. -7 Solve -31*b - 187 = -590 for b. 13 Solve -456*w = 7503 + 4353 for w. -26 Solve -12*j - 61 = -17 - 32 for j. -1 Solve 40*d - 40 + 149 = 29 for d. -2 Solve -12*w + 1 + 127 = 32 for w. 8 Solve 95*o - 12*o = -15*o + 1960 for o. 20 Solve 28*p + 41*p - 48 = 85*p for p. -3 Solve -457*m + 439*m - 198 = 0 for m. -11 Solve -32*t - 10890 = 318*t + 145*t for t. -22 Solve -32923 + 31273 = -66*v for v. 25 Solve 4338 = 18*c + 4230 for c. 6 Solve -1064 = 5198*f - 5122*f for f. -14 Solve -6349 = 12*n - 6469 for n. 10 Solve 64*p + 360*p = -444*p - 5208 for p. -6 Solve -52*m - 239*m - 4365 = 0 for m. -15 Solve -216*w = -2727 + 4671 for w. -9 Solve 37*j - 294 + 38 - 3 = 0 for j. 7 Solve -297 - 83 - 1276 = -92*x for x. 18 Solve 0 = 10*v - 108*v - 31*v - 387 for v. -3 Solve -343 - 53 = 36*c for c. -11 Solve 19*u + 152 = -23*u - 34*u for u. -2 Solve 168*w + 5 = 140*w + 5 for w. 0 Solve -1846*u = -1858*u + 24 for u. 2 Solve 10986*b = 11002*b - 192 for b. 12 Solve -957*p = -996*p + 195 for p. 5 Solve 0*m + 6380 = 151*m + 168*m for m. 20 Solve 810 = -150*b - 111*b + 2376 for b. 6 Solve -11*h + h = -9*h + 7 for h. -7 Solve -43*m = -171 - 1 for m. 4 Solve -676*l - 17038 + 2680 = 1190 for l. -23 Solve 0 = -122707*p + 122685*p - 484 for p. -22 Solve -1603 - 245 = 168*x for x. -11 Solve 4842 - 4275 = 27*t for t. 21 Solve -47*p + 652 - 558 = 0 for p. 2 Solve -229*h + 597 - 175 = -265 for h. 3 Solve -21*f = -50*f + 12*f - 238 for f. -14 Solve 35*y = -14*y + 686 for y. 14 Solve 480*k - 958*k + 493*k = 150 for k. 10 Solve -105*g - 41*g - 2774 = 0 for g. -19 Solve 112*n - 471 = -45*n for n. 3 Solve -11*p = -150*p + 1390 for p. 10 Solve 178*s + 1288 = -6*s for s. -7 Solve 0 = -219*k + 4148 - 425 for k. 17 Solve 407*f = 279*f - 1152 for f. -9 Solve 1598 + 442 = -120*c for c. -17 Solve -40*v + 1045 = 55*v for v. 11 Solve 1795 = -121*x - 451 - 658 for x. -24 Solve -28 - 35 = 3*b - 57 for b. -2 Solve -72*j + 65*j = -70 for j. 10 Solve 388 - 836 = -49*y + 385 for y. 17 Solve -78 = -235*u + 120*u + 89*u for u. 3 Solve 15*q + 31*q = -414 for q. -9 Solve -263*d + 278*d - 30 = 0 for d. 2 Solve 230 = -3553*u + 3539*u - 120 for u. -25 Solve -4*w + 12576 = 12544 for w. 8 Solve 0 = -9783*h + 9813*h - 390 for h. 13 Solve 26*f + 42 = -156 - 296 for f. -19 Solve -10*h + 1515 - 1495 = 0 for h. 2 Solve 38*a + 44*a = -90*a + 4988 for a. 29 Solve 29554 = 22*a + 29972 for a. -19 Solve -1024 = -100*n - 28*n for n. 8 Solve -25*t = -6*t - 2936 + 3088 for t. -8 Solve -56*h - 316 = 168 + 300 for h. -14 Solve 0 = 901*g - 1424 - 12143 + 52 for g. 15 Solve 842*n = 853*n - 33 for n. 3 Solve 202*t - 164*t = -722 for t. -19 Solve -39*u - 124 - 146 = -54*u for u. 18 Solve 3974 = -3*n + 3986 for n. 4 Solve -29*g = 36*g + 49*g - 456 for g. 4 Solve 150*q - 980*q = -12450 for q. 15 Solve -133*n + 3817 = 359 for n. 26 Solve 464*t + 41 + 10 = 515 for t. 1 Solve -26*d = 10*d - 4*d for d. 0 Solve -316*m = -287*m - 609 for m. 21 Solve 271*r - 84 = 283*r for r. -7 Solve 0*z = -10*z - 395 + 245 for z. -15 Solve -8*n = 77*n + 17*n + 1734 for n. -17 Solve 13*b + 38 = 10*b + 98 for b. 20 Solve -40 = 70*k - 85*k + 215 for k. 17 Solve 0 = 144*g + 473*g - 15425 for g. 25 Solve m = -2667 + 2675 for m. 8 Solve -4*b - 21 - 37 = -62 for b. 1 Solve 25*i - 174 + 599 = -100 for i. -21 Solve -5919 = 6*f - 6003 for f. 14 Solve -1101*p + 1263*p = 1620 for p. 10 Solve 54*w = -197*w - 54*w + 6100 for w. 20 Solve -12*o - 280 = -184 for o. -8 Solve 10364*x = 10339*x + 50 for x. 2 Solve 2596*c - 961 = 2738*c - 4369 for c. 24 Solve 133*f - 250*f - 907 = 1082 for f. -17 Solve 0 = -11338*f + 11307*f + 31 for f. 1 Solve -245*x - 194 = -5067 - 272 for x. 21 Solve d + 11*d + 109 + 95 = 0 for d. -17 Solve 0*p - 13812 + 13834 = -p for p. -22 Solve 805*v + 13905 = 111*v - 233*v for v. -15 Solve -37*z + 55 + 61 - 5 = 0 for z. 3 Solve 147*y + 71 + 51 = -172 for y. -2 Solve 318*l = -1057*l - 324*l - 32281 for l. -19 Solve -745*w + 755*w = -300 for w. -30 Solve 20*y = 47*y - 24*y - 72 for y. 24 Solve 165*y = -184*y + 11168 for y. 32 Solve 0 = 114*v + 25408 - 21304 for v. -36 Solve 41*n + 13 + 288 = -150 for n. -11 Solve -2376*c + 2349*c - 459 = 0 for c. -17 Solve 3997*h - 3977*h - 240 = 0 for h. 12 Solve -35*z + 0 - 331 = -16 for z. -9 Solve -61*y + 4222 = 4954 for y. -12 Solve 0 = 893*o - 1009*o + 580 for o. 5 Solve 0 = 58*p + 390 + 199 + 165 for p. -13 Solve 182*s + 1641 + 907 = 0 for s. -14 Solve -291*c + 27*c + 306 = 42*c for c. 1 Solve 124*v + 159 + 198 = -759 for v. -9 Solve 24*f + 294 = 237*f + 81*f for f. 1 Solve 20*z + 68 = -2*z + 5*z for z. -4 Solve 18*r + 11*r - 20*r = 54 for r. 6 Solve 0 = -57*v + 3978 - 2895 for v. 19 Solve 0 = 36*y + 53556 - 52548 for y. -28 Solve 49*p + 940 - 58 = 0 for p. -18 Solve -82*g - 102 - 219 = 89 for g. -5 Solve 24*w = 187*w + 37*w - 1400 for w. 7 Solve 474*z + 1162 + 734 = 0 for z. -4 Solve -50*u - 5150 = -4500 for u. -13 Solve -85*u = 18*u + u + 312 for u. -3 Solve 302*b = 417 + 489 for b. 3 Solve 30*c - 1590 + 456 = -24*c for c. 21 Solve 90*j - 510 - 300 = 0 for j. 9 Solve -713*m = 9940 + 4320 for m. -20 Solve -71*k + 4095 = 3598 for k. 7 Solve 130*g + 752 + 1328 = 0 for g. -16 Solve -185 = -110*t + 1355 for t. 14 Solve -10*f - 18647 + 7078 = 493*f for f. -23 Solve -785 + 745 = 40*p for p. -1 Solve -64*s + 3487 - 877 = 110*s for s. 15 Solve -34*b + 48 = -160 + 72 for b. 4 Solve 914 - 1040 = 63*b for b. -2 Solve 415 - 2277 = -98*w for w. 19 Solve -128 = 71*v + 227 for v. -5 Solve -1539 = 755*d - 11937 - 11497 for d. 29 Solve 474 = -145*u + 3084 for u. 18 Solve 171392*g - 171 = 171383*g for g. 19 Solve -87*o - 1507 = 3*o - 247 for o. -14 Solve 23*k - 114 = 93 for k. 9 Solve 24541*j = 24525*j - 336 for j. -21 Solve -11*p = 8683 - 8540 for p. -13 Solve -570 = 133*b + 1558 for b. -16 Solve -17270 = -18*f - 6*f - 17534 for f. -11 Solve 132*j + 1674 - 354 = 0 for j. -10 Solve 378 = 78*k - 480 for k. 11 Solve 0 = -109*c - 218*c - 1635 for c. -5 Solve 139 + 8026 = 388*z - 33*z for z. 23 Solve 0 = 543*t + 155 + 388 for t. -1 Solve -241 = 102*d + 269 for d. -5 Solve 1034*z = 201*z + 5831 for z. 7 Solve 817 - 439 - 454 = 19*z for z. -4 Solve 3
{ "pile_set_name": "DM Mathematics" }
prime factors of n. 5 Let x = -27 - -32. Let a(n) = n**3 - 5*n**2 + 6*n - 4. What are the prime factors of a(x)? 2, 13 Let k be 3*((-2)/2 - -2). Suppose 2*n = 3*n - 2. Suppose d = k + n. What are the prime factors of d? 5 Suppose 2*r - 3*p + 12 = 0, r + 2*r = -3*p + 12. Suppose 0*b = -2*n - b + 23, -3*n + 4*b + 29 = r. Let k = -3 + n. List the prime factors of k. 2 Let k(z) = 5*z - 6. Let u = 18 - 12. List the prime factors of k(u). 2, 3 What are the prime factors of 110 + (-5 - -3)*(-5 - -4)? 2, 7 Suppose -2*i - 2*y + 18 = 0, -2*y + 5*y - 19 = -i. Suppose -i*o - 39 = -7*o. List the prime factors of (-2)/(-2 + 0)*o. 13 Suppose -5*b + 28 = 2*h, 2*h = -2*b + b + 12. Suppose h = f - 0. Suppose f*z - 36 = z. List the prime factors of z. 2, 3 Let y = 13 + -8. Suppose 0 = 5*r + g - 22, -y = -5*g + 5. Suppose -5*s = -4*h + 79, -r*h - s = 2*s - 55. List the prime factors of h. 2 Let m(u) = -u**3 - 3*u**2 + 3*u + 6. Let n be m(-4). Suppose -3*t - 6*g - n = -g, 3*g = 4*t - 6. Suppose 10 = 2*b - t. What are the prime factors of b? 5 Suppose 5*c - 76 + 6 = 0. Suppose 4*t = 18 + c. Suppose -6 = -2*a, t*a - 16 = -2*n + 4*a. What are the prime factors of n? 2 Let q = 94 + -29. List the prime factors of q. 5, 13 Let y = 119 + -49. Suppose -3*s - 6 - 9 = 0, -3*s = 5*b - y. What are the prime factors of b? 17 Suppose 38 = z - 2. List the prime factors of z. 2, 5 Let r(q) = q**3 + 5*q**2 + q - 5. Suppose 0 = -3*o - 16 + 4. What are the prime factors of r(o)? 7 Let a = 281 + -182. What are the prime factors of a? 3, 11 Suppose 0 = x - 3 - 11. List the prime factors of 10/(-15)*(-1 - x). 2, 5 Let o(t) = 3*t**3 - 4*t**2 + t + 4. List the prime factors of o(5). 2, 71 Let z(j) = -6*j + 1. Let w be z(1). Let b be w*1*(-12)/(-30). Let k(v) = -v**3 + v**2 + v - 1. List the prime factors of k(b). 3 Let r(n) = n**3 + 3*n**2 - 4. What are the prime factors of r(2)? 2 Suppose -q = -4*q. Suppose -3*o + 12 + 12 = -5*w, 2*o + w - 16 = q. Let i = o - -2. What are the prime factors of i? 2, 5 Suppose a + 3*a = 116. Let g = a - -2. List the prime factors of g. 31 Let f = -5 + 7. Suppose f*p - 15 = -3*p. List the prime factors of p. 3 Let q(v) = v**3 + 9*v**2 - v + 11. What are the prime factors of q(-9)? 2, 5 Suppose -9 = 4*c - 41. What are the prime factors of 2 + (c - 1 - -2)? 11 Suppose 15 = 3*k, -4*n - 5*k = -0*n - 85. Suppose -r = -4*r + n. List the prime factors of r. 5 Let x = 35 + -25. What are the prime factors of x? 2, 5 Let d be 2 + 15/(3 + -6). What are the prime factors of (-28)/d*(-3)/(-2)? 2, 7 Let a(z) = -z**2 - 14*z + 8. List the prime factors of a(-11). 41 Let b = 3 - 1. Let m be (7 + -6)/(b/(-6)). What are the prime factors of (-40)/m + (-2)/6? 13 Let r = -4 + -2. Let m(l) = 4*l - 3*l + l**3 - 6*l + 1 + 6*l**2 + 3*l. What are the prime factors of m(r)? 13 What are the prime factors of -7 + 7 - (2 + -72)? 2, 5, 7 Let w be (-7 - -89) + 1 + 1. Suppose -14*u - w = -17*u. What are the prime factors of u? 2, 7 Suppose -5*m = -3*m - 12. What are the prime factors of ((-423)/27)/((-2)/m)? 47 Suppose 0 = -a + 26. Suppose -5 = -h + 32. Let r = h - a. List the prime factors of r. 11 List the prime factors of (-3020)/(-15) + 1/(-3)*4. 2, 5 Suppose -4*o + 3*o + 343 = -5*l, 0 = 4*o + 2*l - 1372. List the prime factors of (-1)/4 - o/(-28). 2, 3 Let q be 6/5*(-20)/(-8). Let w be 9/1 + 2/(-2). Suppose q*s = -s + w. List the prime factors of s. 2 Let n(r) = -24*r + 37. What are the prime factors of n(-6)? 181 Let z be 2/(-8) - (-65)/20. Suppose 3*k + p + 1 = 2*k, 0 = z*k - 5*p + 35. Let s = k - -10. What are the prime factors of s? 5 What are the prime factors of 0*(5 + -4) - -68? 2, 17 Let i be -2 - -4 - (2 - 48). Let o = i + -21. List the prime factors of o. 3 Let q be 2/(-1)*50/4. Let h = q - -41. What are the prime factors of h? 2 Let y(a) = -a**3 - 3*a**2 - 3*a + 3. List the prime factors of y(-4). 31 Suppose 6 = p + 4*i, 4*p + 4*i - 2*i - 24 = 0. List the prime factors of p. 2, 3 Let j = -6 - -12. List the prime factors of 1/j + (-339)/(-18). 19 Let n = -70 + 119. Suppose 5*r - n = 66. Let k = r + -13. What are the prime factors of k? 2, 5 Suppose i = 4*w + 20, -66 = -4*i - 4*w + 14. List the prime factors of i. 2, 5 Suppose 0 = 4*w - w - 5*v - 25, 3*w - 3*v = 21. Suppose 2*s + w*g = 34, -2*s = 3*g - 0*g - 30. What are the prime factors of s? 2, 3 Let x = 4 - 1. Suppose -42 = w - x*w. What are the prime factors of w? 3, 7 Let r(j) = 2*j + j - 3 + j**2 + 0*j. Let b be r(-4). Let u(g) = 8*g**2. List the prime factors of u(b). 2 Suppose 5*d = 26 + 29. What are the prime factors of d? 11 Let r(m) be the third derivative of -m**6/120 + 3*m**5/20 + m**4/3 - 7*m**3/2 - 3*m**2. What are the prime factors of r(9)? 3, 17 Suppose 0 = -3*p + r + 340, 7*r - 2*r = -5*p + 600. List the prime factors of p. 5, 23 Suppose 33*t - 26*t = 231. List the prime factors of t. 3, 11 Suppose 0 = 2*c - 2. Let b be (c - -2) + -14 + -3. List the prime factors of 4/b + 158/14. 11 Let w(q) = -q**3 + q**2 + q + 1. Let u(i) = 4*i**3 - 17*i**2 - 5*i + 6. Let t(y) = u(y) + 5*w(y). List the prime factors of t(-12). 11 Let s(b) = 15*b**2 + b - 1. Let g(c) = c + 1. Let p be g(0). What are the prime factors of s(p)? 3, 5 Suppose -4*g + 31 = 5*s, g - 4 = -2*s + 3. Suppose i - g = -2*i. List the prime factors of i. 3 Let o = 67 + -35. What are the prime factors of o? 2 Let n(r) = -r**2 + 7*r - 2. Let l be n(5). Suppose 3*v - l*v = -65. Suppose 15 = x - 2*s, 0 = x + s - 2*s - v. List the prime factors of x. 11 Suppose -5*m + 4*s + 763 = 0, m - 5*s + 3*s - 155 = 0. What are the prime factors of m? 151 Let b be (-38)/((0 + 1)*-1). Let g = -27 - -28. List the prime factors of b/4*2/g. 19 Suppose l + 3*k = 84, -l + 2*k + 72 = -k. What are the prime factors of l? 2, 3, 13 Suppose 4*p - y = 103, 2 = 4*y - 2*y. List the prime factors of p. 2, 13 Suppose 3*x = -19 + 241. What are the prime factors of x? 2, 37 Let b(h) = 8*h + 9. List the prime factors of b(5). 7 Suppose -4*j + j = 84. Let y = j + 57. What are the prime factors of y? 29 Suppose 3*p - 92 = -m + 53, 92 = 2*p - 4*m. Suppose -p = -7*l + 3*l. Suppose -2*z + 3*z = l. What are the prime factors of z? 2, 3 Suppose 8*u - 3*u = 20. Suppose -4 = 2*a, 2*a - 41 = -u*j + 11. List the prime factors of j. 2, 7 What are the prime factors of (10/8)/((-6)/(-48))? 2, 5 Let k be (-4)/7*(-14)/4. List the prime factors of ((-14)/(-3))/(k/21). 7 Let i = 388 - 195. Suppose 62 + i = 5*c. Suppose m - c = -2*m. What are the prime factors of m? 17 Suppose -4*i + 5*i - 18 = 0. Suppose -2*u + m - 1 = 0, -7 = -5*u - 3*m + i. List the prime factors of (u - -2) + -1 + 1. 2 Suppose -460 = -5*k + 4*s + 34, -5*k - 5*s + 485 = 0. List the prime factors of k. 2, 7 Let m(y) = y. Let u be m(5). Suppose -57 = -0*j - 3*j. Suppose 0 = -2*p + 3*p - 3*o + 5, p + u*o - j = 0. What are the prime factors of p? 2 Suppose 0 = 4*k - 3*m - 300, 3*k + 5*m = 96 + 158. List the prime factors of k. 2, 3, 13 Suppose 0*n = n - 29. What are the prime factors of n? 29 Let w(l) = -l + 1. Let m be w(-3). Let o = m + 8. What are the prime factors of o? 2, 3 Let b(w) = -w**3 - w**2 - w - 6. Let p be b(0). List the prime factors of 5*(p/(-5) + 0). 2, 3 Let q(n) = -n**3 + 9*n**2 + 4*n + 5. List the prime factors of q(8). 101 Let m(i) = -i**3 + 8*i**2 + 6*i - 13. Let f be m(9). Let d = f + 69. List the prime factors of d. 29 Let q(t) be the second derivative of 1/3*t**3 + 0 - 3/2*t**2 + 2*t. What are the prime factors of q(3)? 3 Let g(h) = 3*h**2 + 2*h - 25. What are the prime factors of g(8)? 3, 61 Let o = -10 - -12. Suppose 0 = -2*m + 6*c - 2*c + 24, 10 = -o*c. What are the prime factors of m? 2 What are the prime factors of 9716/52 - (-2)/13? 11, 17 What are the prime factors of 261/(-18)*8/(-2)? 2, 29 Suppose 2*f + 1 = -13. Suppose 4*l = -0 + 8. What are the prime factors of ((-7)/f)/(l/24)? 2, 3 Suppose 4*d - 5*o = -o + 80, 4*d = -3*o + 52. Suppose -3*a = z - d, -4*a = 5*z + 2 - 5. Suppose -2*w + 5 = -a. What are the prime factors of w? 2, 3 Let r(k) = 4*k + 50. List the prime factors of r(7). 2, 3, 13 Suppose 0 = u - 3*u + v - 4, 0 = u + 4*v + 11. Suppose 2*k + 2 + 0 = 0. List the prime factors of (1/u)/(k/27). 3 Suppose -h = n - 0*n, 4*h - n = -25. Let b be (-4 - -3)*h*3. Suppose 4*z = -0*w + w - 7, -3*z - b =
{ "pile_set_name": "DM Mathematics" }
3 + 540*j**2 Expand -32*q**4 - 2*q**3 - 754*q - 1 + 754*q + (12*q**3 - 54*q**3 - 10*q**3)*(-3*q - 3*q + 4*q). 72*q**4 - 2*q**3 - 1 Expand (-73*h**2 + 116*h**2 + 221*h**2)*(-4*h + h + h) - 2*h**3 + 3*h**3 - 2*h**3 + (-h - 4*h + 3*h)*(-h**2 + h**2 - h**2). -527*h**3 Expand (v**2 - 21355*v + 24144802 - 24144802)*(3*v**2 + 0*v**2 - 5*v**2). -2*v**4 + 42710*v**3 Expand (-44*t + 11*t - 16*t)*(0*t**3 - 3*t**3 + 2*t**3) + 15*t - 15*t - 2*t**4. 47*t**4 Expand (25 - 10 + 3*k - 10)*(-2 + 0 - 36*k + 88*k + 3*k - 3*k + k + 0 + 0 - k + k - 3*k + 3*k - 4*k + 2*k + 0*k + (-3*k + 0*k + 5*k)*(2 + 2 - 2) + 3 - 3 - k). 162*k**2 + 264*k - 10 Expand (23112 + 4 - 12230)*(-2*b + 2*b + b**2). 10886*b**2 Expand (-3 + 3 - 25 + (-4 + 0 + 1)*(-3 + 0 + 1))*(-1 - r**2 + 1). 19*r**2 Expand -20539*o - 330 - 2*o**2 + 20539*o + (-2*o - 1 + 1)*(2*o + o - 5*o). 2*o**2 - 330 Expand (-30*x + 45*x + 577 - 16*x)*(-2*x + 0 + 0). 2*x**2 - 1154*x Expand -83 + 135*d + 83 + 5*d + (-4 + 2 + 0)*(-d - 3*d + 6*d). 136*d Expand 24380656*d - 24380656*d + 210*d**5 - 15 + (-3*d - 2*d**4 + 3*d)*(2*d + 0*d - 4*d) - 2*d**3 + 2*d**3 + 2*d**5. 216*d**5 - 15 Expand -5*s**3 + 3*s**3 + 4*s**3 + (-28*s + 12*s + 21*s)*(-211*s + 211*s + 275*s**2) - 3*s**3 + 9*s**3 - 2*s**3. 1381*s**3 Expand (899*z + 808*z - 261*z)*(-4 + 4 + 2*z + 5 - 5 - z + (2*z + 0*z - z)*(-3 + 2 + 2) - 2*z + 5*z - z). 5784*z**2 Expand (-2*r + 3*r - 3*r)*(-4 + 4 + 11*r)*(20 + 118 + 66). -4488*r**2 Expand (-8*a + 17*a - 12*a - 40)*(-2 + 19 - 1). -48*a - 640 Expand (-8 - 12*a**2 + 4 + 3*a**2)*(23*a**3 - 14*a**3 - 2*a**3). -63*a**5 - 28*a**3 Expand (2 - 72*t**3 + 4884*t**2 - 2*t - 4884*t**2)*(0 - 2 + 8)*(4*t + 7*t - 4*t). -3024*t**4 - 84*t**2 + 84*t Expand (5779*z + 22*z + 2041*z + 1442*z)*(-6*z**2 + 3*z**2 + z**2). -18568*z**3 Expand 0*i**3 + 4*i**3 - 5*i**3 + 11*i**3 + 5*i**3 - 2*i**3 + (3*i - 3*i - 2*i**3)*(1 - 2 - 1) - 3*i**3 + 4*i**3 - 3*i**3 - 2*i**3 + i**3 + 9*i**3. 23*i**3 Expand ((-7*z - 9*z + z)*((z - 2*z + 2*z)*(-1 - 1 - 1) + 3 - 3 - 2*z) + 5*z**2 + z**2 + 9*z**2)*(4*z - 2*z - 3*z). -90*z**3 Expand (-19967 + 14592 - 26690 - 15214)*(-2 + k**3 + 0*k**3 + 3). -47279*k**3 - 47279 Expand (10*c + 4*c**2 + 0*c**2 - 5*c**2)*(-53 + 54 + 16*c - 76*c). 60*c**3 - 601*c**2 + 10*c Expand 4*t - 3*t + t + 4 - t - 4 + (4 + 1 - 3)*(-t + 2*t - 2*t) + 2*t - t + 11*t + 2*t + 3 - 3 + (0 + 0 - 5*t)*(-2 + 0 - 1). 28*t Expand (4735*u - 2233*u - 2260*u)*(-2*u + u**2 + 2*u) - 2*u**3 + 9*u**3 + u**3. 250*u**3 Expand (-q + 3*q - 3*q)*(-22*q - 5646 + 5643 + 127*q). -105*q**2 + 3*q Expand -2*l**4 + 0*l**4 + 3*l**4 + (-5*l**2 + l**2 + 2*l**2)*(-l**2 + 2 - 2) + 2*l**2 - 2*l**2 - 2*l**4 + (-4*l + 7*l + 0*l**3 + 2*l**3)*(-264*l + 5*l - 111*l). -739*l**4 - 1110*l**2 Expand (0 - 4 + 2)*(4442 - 8864 - 165*d + 4431). 330*d - 18 Expand (2*n**3 - 2*n**3 - 18*n**4)*(-8 + 49*n - 228*n + 9) + (1 - n - 1)*(1 - 1 - 2*n**4). 3224*n**5 - 18*n**4 Expand (95 - 95 - 6*q)*(-q**3 - 2*q + 2*q) + 84*q**4 - 5*q**4 - 4*q**4. 81*q**4 Expand (-16*f**3 - 9*f**3 + 7*f**3)*(236*f - 233*f + 202*f). -3690*f**4 Expand g - 7*g**2 - 94*g**2 - 59*g**2 - 2*g**2 + g**2 + 2*g**2 + (13*g - 5*g + g)*(2*g - 2*g + 2*g). -141*g**2 + g Expand (4*r + r - 3*r)*(-2*r**3 - 3*r**3 + 2*r**3 - 5) - 305*r**4 - 172*r**4 + 32*r**4. -451*r**4 - 10*r Expand (-h - 755 + 755)*(-128 - 79 + 23) - 4*h + 0 + 5*h + 1. 185*h + 1 Expand (-10*n + n - 9*n)*(3*n**3 - 3*n**3 + n**3 - 87*n**3 + 86*n**3 - 15 - 5*n**2 + 3*n**2 + (n + n - 4*n)*(1 - n**2 - 1)). -36*n**4 + 36*n**3 + 270*n Expand (-5 - 4 + 43)*(-2 - 3 - 1)*(-2*r - 2*r - 3*r). 1428*r Expand (a**4 - 6*a**4 + a**4)*(-5 + 8 + 4)*(-7*a + 9*a + 29*a). -868*a**5 Expand (-18 + 26 + 36)*(-6*t + 138 + 8*t + 220). 88*t + 15752 Expand (-2 - 4 + 3 + (2 + 1 - 4)*(-9 + 0 + 3))*(72*t**4 + 267*t**4 + 351*t**4). 2070*t**4 Expand (-28*r**2 + 179*r**5 - 33*r**2 + 57*r**2)*(1 + 7 - 3). 895*r**5 - 20*r**2 Expand (2 + 3 - 6)*(31852*f**3 + 404*f**4 - 31852*f**3). -404*f**4 Expand (-29 + 29 + 150*u)*(-27*u**2 - 307*u + 307*u). -4050*u**3 Expand ((-4 + 4 - 2)*(6*y + 5*y + 4*y) - 1 + 2*y + 1)*(1 + 3 - 7)*(40 + 21 - 13). 4032*y Expand (4 - 5 + 0)*(4 - 4 + 1)*(-2*p - 3*p + 4*p) + (-7*p + 12*p + 20*p)*(-5 - 1 - 5). -274*p Expand (-38*s - 763 + 763)*(-1 + 2 + 1)*(s - s - s) - 4*s - 2*s + 35*s**2 - 37*s**2. 74*s**2 - 6*s Expand (31 - 137 + 333)*(73*a + 2*a**4 + 3*a**3 - 73*a). 454*a**4 + 681*a**3 Expand (3*u**3 + u**3 - 2*u**3)*((0 + 0 - 1)*(2*u - u - 3*u) - 15 - 16*u + 13 + 8*u)*(1 - 20 + 1). 216*u**4 + 72*u**3 Expand ((1 - 1 + 2)*(-1 + 0 - 2) + (3 - 1 + 0)*(-3 + 4 + 1) + (0 + 1 + 0)*(-4 + 5 + 4))*(0*t - 2*t + 7*t) - 3*t - 2*t + 4*t. 14*t Expand (-3 + 16 - 5466*f + 5475*f)*(-16*f + 6*f - 8*f). -162*f**2 - 234*f Expand (85 - 93 - 138)*(-3 - 4 + 3)*(-4*k - 4 + 4). -2336*k Expand (18 - 18 + h + h - 4*h + h + (0 + 0 + 1)*(-5*h + 3*h + 3*h) + 5*h - 4*h + h)*(-1 + 1 + h)*(-63 + 63 - 50*h). -100*h**3 Expand (-148*a**4 + 139*a**4 - 434*a**4 + (1 - 1 + 2*a**3)*(1 + a - 1))*(-6 + 6 - 1 + 5 - 2 - 5 + (4 - 1 - 1)*(2 - 2 - 2)) - 4 + a**4 + a**4 + 0*a**4. 3089*a**4 - 4 Expand (-2*m**3 - 3*m**2 + 3*m**2)*(-22203*m - 125 - 137 - 128 + 390). 44406*m**4 Expand ((0*v + v + 0*v)*(0 + 1 - 3 + (4 + 0 - 1)*(2 - 3 + 0) - 5 + 2 + 2) - 3*v - v + v + 15*v - 11*v - 88*v)*(2*v - v + v). -186*v**2 Expand 123*d - 104*d - 81*d + (2 + 2 - 1)*(d + 2*d - 7*d). -74*d Expand -5*o - 36*o**4 + o**3 + 18545 - 18545 + (-o**4 + 0*o**4 + 5*o**4)*(-2 + 0 + 6). -20*o**4 + o**3 - 5*o Expand ((4 - 1 - 2)*(-6 + 2*m + 6) - 4 + 4 + 4*m)*(-10 - 4 - 11 - 2*m). -12*m**2 - 150*m Expand 2*c + 0*c - 3*c + (-5 - 4 + 4)*(3*c - 3*c - c + (3*c - 5*c + 4*c)*(1 - 5 + 2) - 3 - 2*c + 3 + c - c + c - 3 - c + 3). 34*c Expand (-1 + 2*i + 1)*(-3 + 8*i + 3) + (26*i - 5*i**2 - 8*i - 16*i)*(4 + 0 - 5). 21*i**2 - 2*i Expand (0*s + 3*s + s)*(-1 - 7 - 12)*(2 - 1 + 2). -240*s Expand (2*m**2 + 3 - 3)*(-m**3 + 2*m**3 - 3*m**3) - 1 - 70*m**5 + 1 + (5*m**4 + 3*m**4 - 6*m**4)*(3 - m - 3). -76*m**5 Expand (7197*u - 2097*u - 814 + 814)*(-6*u**2 + 4*u**2 + 3*u**2). 5100*u**3 Expand (-1 + 1 + g)*(2*g + g - 4*g) - g + 2*g**2 + g + (-15 + 17 - 13)*(-6*g**2 - 2*g**2 + 2*g**2). 67*g**2 Expand 1 + j - 1 + (0 + 0 + 1)*(-3*j + 5*j + 0*j) - 14*j - 4*j + j - 2*j + 2*j - 3*j - 420 - 23*j + 420. -40*j Expand (-i - 2*i + i)*(3*i + 0*i - 4*i) + 0*i**2 + 2*i**2 - i**2 + (23*i**2 + 8*i**2 + 15*i**2)*(-5 + 1 + 5). 49*i**2 Expand (-2546922 + 1678*x + 2546922)*(2 - 2 + x) + 0*x**2 - 2*x**2 - 3*x**2. 1673*x**2 Expand (-6 + 98*d + 78*d - 196*d)*(47*d**2 + 51*d**2 - 8*d**2). -1800*d**3 - 540*d**2 Expand (2*f + 0 + 0)*(-168 - 181 - 165 - 6971*f**2 + 514). -13942*f**3 Expand -4*w**4 + 4*w**4 - 1644*w**5 - 121379 + 121373 + (2*w - 2*w - w**2)*(-w**3 + 3*w**3 + 0*w**3). -1646*w**5 - 6 Expand (0*k + 11*k - 2*k)*(2 + 1 - 5)*(-824 - 4144 + 854). 74052*k Expand (12*w + 5*w + 23*w - 33*w - 10)*(-4 + 7 + 6). 63*w - 90 Expand (-3*h - 2*h + 3*h)*(3 + 0 - 2) - 3215*h + 2 - 3135*h + 6470*h. 118*h + 2 Expand (5 + 3 - 5)*(-6*v**4 + 4*v**4 - 4*v**4) - 5*v**4 + 4*v**4 + 6*v**4 + 0*v**4 + v**4 + 0*v**4 + (2 - 4 + 0*v - v)*(-7*v**2 - v**3 + 6 + 7*v**2). -11*v**4 + 2*v**3 - 6*v - 12 Expand (-173*j**2 + 432*j**2 + 342*j**2)*(2*j**2 + 2*j - 2*j) + (-j**2 + j**2 - 3*j**3)*(j + 2*j - j). 1196*j**4 Expand (-2515 - 4400 - 4855 - 16464)*(-d**3 + 3*d - 3*d)*(-5 + 2 + 1) - 1 + 1 + d**3. -56467*d**3 Expand (2 + 1 - 4)*(-2*f**2 + f**2 - 2*f**2) + 4*f**2 + 40 - 112*f**2 - 41. -105*f**2 - 1 Expand -10 + 258*w**2 + 473*w**2 + 10 + 0*w + 2*w**2 + 0*w + (3*w - 4*w + 0*w)*(0*w + 0*w - w) - 2*w**2 - 4*w**2 + 2*w**2. 730*w**2 Expand (w + 2*w - 2*w + (w + w - 3*w)*(-3 - 4 + 5) + 2*w - w - 2*w)*(181 - 181 - 2140*w - 182*w). -4644*w**2 Expand (3*g**2 - g**2 + 0*g**2)*(g - 5*g + 2*g)*(1 - 6 + 4)*(-23*g + 49*g + 31*g). 228*g**4 Expand (-7*q + 2*q + 0*q)*(-7 + 1 - 8)*(2 + 2 - 2). 140*q Expand (765*q**2 + 759*q**2 - 2529*q**2)*((-2 + 1 + 0)*(6*q - 3*q - 2*q) - 5*q + 3*q + q - 5 + 5 - 2*q). 4020*q**3 Expand (2 - 2 + 3)*(9*d**3 - 9*d**3 + 6*d**3) + (-10*d - 42 + 42)*(-d**2 + 3*d**2 + d**2). -12*d**3 Expand (-3*c - c + 3*c)*(c + 3*c - 6*c + (2*c + 2*c - 3*c)*(0 + 4 - 3) - 1526*c + 5307*c + 8123*c). -11903*c**2 Expand (5*a - 7*a + 9*a)*(14*a - 19 + 19) + 3*a**2 - 5*a**2 + 0*a**2 - 4*a**2 - 7*a**2 - a**2. 84*a**2 Expand (4*g**2 + 3118 - 3122 - 10*g**
{ "pile_set_name": "DM Mathematics" }
(b) 2 (c) -0.1 c Which is the closest to 8? (a) -34427 (b) 0.02 (c) 0.4 c Which is the closest to -0.4? (a) -4/3 (b) -1/23 (c) -82 (d) -0.0005 (e) -5 b What is the closest to -1/3 in 1185, -1, 1/9? 1/9 What is the closest to -3/79 in 3, 0.16, 140/9? 0.16 Which is the nearest to -2/31? (a) -3/83 (b) -2/9 (c) 3 (d) -1.8 (e) -26/3 a What is the closest to 7174 in -30, 0.2, 2? 2 What is the closest to -2 in -1/3, 5, -698479? -1/3 Which is the closest to -1? (a) 3 (b) 43348/19 (c) -1 (d) 2 c Which is the nearest to 1702? (a) 5 (b) 0 (c) 0.08 (d) -5 (e) 42 e What is the nearest to -31894 in 0.4, -5.3, 0.2? -5.3 What is the closest to -0.1 in -0.3187841, -1, -2? -0.3187841 What is the nearest to -12/7 in -12.257, 1, -10, -0.2, -3? -3 Which is the closest to 3.3? (a) 91 (b) 0 (c) 5 (d) -2/29 c What is the closest to -2 in -3.9, 4, -2/9, 211, -4? -2/9 Which is the closest to -2/11? (a) -1/8 (b) -0.06 (c) -11 (d) -4 (e) -16/67 a What is the nearest to -0.14 in 0.3, 2/461, 7, 0, 29, 6? 0 Which is the nearest to -1? (a) 0.24 (b) -1.2 (c) 1/5 (d) 3 (e) -11 b What is the nearest to -1 in -2, 218.22, 0.4, -4, 3? -2 Which is the closest to 0.329? (a) 11 (b) 9/26 (c) -0.1 b What is the nearest to -1382 in -2/7, 5/8, -193? -193 What is the closest to 2/7 in -2, -1/2, 163, -9/10, -1/55? -1/55 What is the closest to 0.07 in -6/5, -2961/8, 5, -3/7, 17? -3/7 What is the closest to 2 in -174.14, -12/13, -13, -0.5, -5? -0.5 Which is the closest to 2? (a) -4 (b) 3 (c) -0.1 (d) -1/7 (e) 5/4 (f) -159 e Which is the closest to 101? (a) -0.22 (b) -26 (c) 0.1 (d) -3 (e) 5 (f) -0.11 e Which is the nearest to -0.02? (a) 0 (b) 52409 (c) -3 a What is the nearest to -212 in -0.05038, -6/5, -0.4, 2/5? -6/5 Which is the closest to -2? (a) 0 (b) -5/2 (c) -5 (d) -159 (e) -0.2 (f) -102 b What is the closest to -16 in -4, -4.6, -0.6, -1? -4.6 What is the closest to -5514 in 11, 0.3, 3, -9? -9 What is the closest to 4454 in 0.93, -1, 3/7, 0.4, 0, -3? 0.93 What is the closest to -2 in -0.21, 2/7, -5, 0.5, 981, 0.1? -0.21 What is the closest to -8624 in -9, 19.1, 2/5? -9 Which is the closest to 1/4? (a) -2/125 (b) -1/5 (c) -403.9 (d) 1 a What is the closest to -16096 in 5, 6, 3, -5, -0.41? -5 Which is the closest to -13? (a) -1/2 (b) -20 (c) -5 (d) -0.7 b What is the closest to -1/4 in -5350, -3/2, -3/8, -2/9? -2/9 What is the nearest to 0.035 in 3, -3, 0.1, 124, -1/2, -5? 0.1 Which is the nearest to -8/7? (a) 4/3 (b) 16 (c) 3/4 (d) -7/3 (e) -27 d What is the nearest to -11 in -7, 2/9, -40, -2? -7 What is the closest to -0.1791 in -0.5, -2/11, 3.32? -2/11 What is the nearest to 17 in 0.2, -0.17, 4, 1/14, -1? 4 Which is the nearest to 0.1? (a) -5 (b) 180 (c) -52 (d) -1.7 (e) 2/3 e Which is the nearest to 25? (a) 5861 (b) 5 (c) -5 b What is the nearest to 0.2 in -5, 1318/9, -4, 0, -210? 0 What is the closest to -27545 in -4, 2/113, -4/9? -4 Which is the closest to 1/6? (a) 7 (b) 0 (c) -1/6 (d) -179 b Which is the closest to 21? (a) -0.3 (b) 0 (c) 3 (d) 4062 c What is the nearest to -0.2 in 3/7, 0.02359, 1.7? 0.02359 What is the nearest to -23067 in -4, 1, 3, -2/19, -12? -12 What is the closest to 849/5 in 2, 1, -25? 2 What is the nearest to 3 in -3, -79296, -2/17? -2/17 Which is the closest to 0? (a) 3476 (b) 0.3 (c) 4.87 b What is the nearest to -1 in -4, -477.38, 48? -4 What is the nearest to 0.2 in 0.06, -0.5, -16, -17691? 0.06 Which is the closest to 1? (a) 2/3693 (b) 2/3 (c) 12/7 (d) -2/7 b Which is the closest to 5? (a) -3 (b) -0.322 (c) -5/2 b What is the closest to -2/311 in -2/15, -153, 4, 0.5? -2/15 What is the nearest to 16206 in 33, -15, 3? 33 Which is the nearest to 2? (a) 6 (b) 0.2 (c) 1/1668136 b What is the closest to 1 in 0.3, -1.73, -300/13, -4, -3? 0.3 What is the closest to -0.1 in 6273, -0.36, 3, -19? -0.36 Which is the nearest to 2/7? (a) -2/7 (b) -7 (c) 2/13 (d) 2 (e) -0.12 c What is the closest to -0.1 in -90, -5, 0.23, -8/9, -1/4? -1/4 Which is the nearest to 0? (a) -1 (b) 5 (c) -3 (d) -449 (e) 0.4 (f) 200/7 e Which is the closest to -1032? (a) -43 (b) 3/2 (c) -2 (d) -0.05 a What is the closest to -4 in -0.5, 4.4, -11929? -0.5 Which is the closest to -1? (a) 1988 (b) 2/173 (c) -5/12 c What is the nearest to -0.09 in -31, -1/2, 602? -1/2 What is the closest to 14 in 0.4099, -2, 5, 2? 5 Which is the closest to -0.22375? (a) 5 (b) -0.1 (c) 1.9 (d) -1 b What is the nearest to -3/7 in 1.9, 4/13, -7? 4/13 Which is the nearest to -1? (a) -40793 (b) 279 (c) -5 (d) -0.22 (e) 4 (f) -3/5 f Which is the nearest to 1? (a) 21/2 (b) -0.5 (c) 324944 b Which is the closest to -2? (a) 533 (b) 0 (c) 2/7 (d) 313 b What is the nearest to 28.1 in 3, 8.5, -0.5, -4, -2/9? 8.5 Which is the nearest to -161? (a) 5 (b) -0.1 (c) -6 (d) 3/2 (e) -10.2 e What is the nearest to -502/7 in 4, 25/2, 71, -5? -5 What is the nearest to 0 in 67, 0, -0.21, 125/7? 0 Which is the nearest to -0.3? (a) -1 (b) 33.8 (c) 1/41 (d) 3/7 c What is the closest to 0.1 in 303, -1, -6/157? -6/157 What is the closest to -2/9 in 2/21, 21, 1/5, -2, 39/625, -2/13? -2/13 Which is the nearest to -1? (a) -3 (b) 4/9 (c) 1/5 (d) 67 (e) 1.84 c Which is the closest to -1? (a) 7 (b) 35 (c) 28 (d) -0.86 (e) 10 (f) 0.5 d Which is the closest to -1? (a) -25 (b) -5.35 (c) -5 (d) 8 c Which is the closest to 17? (a) -1/4 (b) 341.2 (c) 0.0281 c Which is the nearest to 11? (a) 80 (b) 7 (c) 3/2 (d) 4 (e) 5 b Which is the nearest to 236? (a) -0.4 (b) -0.3 (c) -15432 (d) -4 b What is the closest to 1205 in 0.0854, -0.3, -0.38? 0.0854 Which is the nearest to -2/5? (a) 6 (b) 0.1 (c) -17 (d) -0.06 (e) -0.045 d What is the nearest to 2/7 in 2, 134.432, -0.1, 4? -0.1 What is the nearest to -0.01 in -4.49, 3/7, -3, -157698? 3/7 What is the nearest to 17 in -2/9, -26/55, -18, -4, -0.035? -0.035 Which is the closest to -72.584? (a) 1/3 (b) 1 (c) -1/11 (d) 0 (e) 0.23 c Which is the nearest to 1680? (a) -3 (b) -4 (c) 1/3 (d) -0.098 (e) 16 (f) -1 e Which is the closest to -199? (a) 4 (b) 0.043 (c) 1 (d) 23 (e) -0.9 e What is the nearest to -1/6 in 1/11, -2, -3/11, -18? -3/11 Which is the closest to -2? (a) -2 (b) -5/6 (c) 1 (d) 15/2 (e) -22/7 a What is the closest to 24 in -3.619, -5/2, -2, 3, 3/8, -0.3? 3 What is the nearest to -0.1 in -1, -1/10, 4, -2/5, 0.0095? -1/10 Which is the closest to 137? (a) -6/11 (b) -5 (c) -0.3 (d) -1/4 (e) -1 d Which is the nearest to 0.2? (a) 14 (b) -4 (c) 4 (d) -3/4 (e) 0.3 (f) 7153 e What is the nearest to -13.3 in 0.1, -3, -3/5, 2/31, -13? -13 Which is the closest to 0.1? (a) -2771 (b) -41 (c) -0.1 (d) 0.4 c Which is the closest to -0.398? (a) -23 (b) -89 (c) -5 c What is the nearest to 10 in 0.3, -30/11, -2/163, 66? 0.3 What is the nearest to 14 in -97, -11, -3, -6? -3 What is the nearest to 24 in -1, -2.96, -10, 0.11? 0.11 What is the closest to 2 in -0.2, -0.07, 0.594, -4? 0.594 Which is the nearest to 1/4? (a) -4 (b) 3.6 (c) 7823 (d) -1/12 (e) -0.4 d Which is the nearest to 0.1? (a) -1 (b) -56 (c) -0.05 (d) -0.03 (e) 2/39 e Which is the nearest to -804155? (a) -0.09 (b) -1/4 (c) -1 c Which is the nearest to 1/2? (a) 20063 (b) -1 (c) -37/6 (d) 0.5 d What is the closest to -0.052 in 58, 3/4, 0.01, -253? 0.01 What is the nearest to -2 in 5, -2/11, -1/6, -3/7, -134173, 2/3? -3/7 What is the nearest to -0.2 in -13439, -1/7, 6? -1/7 Which is the nearest to 1/3? (a) 3 (b) 0.09849 (c) 0.3 (d) 5/6 (e) 0.026 c What is the closest to 6 in 8563, -13, 5/6, -1? 5/6 Which is the nearest to 0.2? (a) 56 (b) -1/3 (c) 133 (d) 2/11 (e) -2/11 d Which is the closest to -306? (a) -5 (b) 0.77 (c) 1 (d) -0.2 (e) 0.3 a Which is the nearest to 2? (a) -0.38 (b) 0 (c) -5 (d) 9/152 d What is the closest to -2/7 in -3, 16/41, -0.5, 2.323? -0.5 What is the closest to 764/9 in 4/2605, 1/3, -1/5? 1/3 Which is the closest to -1? (a) -2582 (b) -65 (c) -2 (d) 0.1 c What is the nearest to -35 in -6, 17, -0.5, -1/4, -2/9, -1.33? -6 Which is the closest to -5? (a) 0.103 (b) 2 (c) -0.1 (d) -1/8 d What is the closest to -0.3 in -4/13, -3, 4, 129, 1/4, -2/1841? -4/13 Which is the closest to 1
{ "pile_set_name": "DM Mathematics" }
)*5 + (sqrt(192) - (5*sqrt(192) + sqrt(192)))*2). -20 + 40*sqrt(3) Simplify -4*(sqrt(22) + sqrt(22) + ((sqrt(22) - sqrt(550)) + sqrt(22))*5)/(sqrt(1100) + sqrt(1100) + sqrt(1100)*2). 13*sqrt(2)/10 Simplify (-3 + (-4*(sqrt(320)*-1 + 5))**2)*-6. -33102 + 7680*sqrt(5) Simplify 2 + sqrt(13) + sqrt(208) + sqrt(208) + 3 + sqrt(208) + 4 + ((sqrt(117) + sqrt(117) + 3 + sqrt(117) - sqrt(117))**2 - sqrt(117)). 46*sqrt(13) + 486 Simplify ((1*sqrt(539)*5 - sqrt(539)) + 3 - ((sqrt(539)*-1 + -2 + sqrt(539))**2 + 5*(sqrt(539)*-1 - sqrt(539)))) + -1. -2 + 98*sqrt(11) Simplify (sqrt(140)/(2*(2*sqrt(7) - sqrt(7)) - sqrt(7)))/((sqrt(96)*-1)/sqrt(6)). -sqrt(5)/2 Simplify (sqrt(336)/(4*sqrt(24)))/(sqrt(48)/(sqrt(6) + -6*(sqrt(24)/sqrt(4) - sqrt(6))))*3. 3*sqrt(7)/8 Simplify ((-1*sqrt(102)*2 + sqrt(102))*6)/(sqrt(384)*2 - sqrt(384) - (sqrt(84)/sqrt(2))/sqrt(7)). -6*sqrt(17)/7 Simplify ((3 + sqrt(832)*-1 + -1)*5*3)**2. -7200*sqrt(13) + 188100 Simplify ((2*(sqrt(66)*2 + sqrt(66) + sqrt(66)))/(sqrt(384)*2 + sqrt(384)))**2*6. 22/3 Simplify (0 + ((sqrt(704) + -1*sqrt(704)*1)*-1)**2)*5. 0 Simplify ((2*sqrt(1872)*-2 + sqrt(1872) + sqrt(1872))*-3)**2 - ((sqrt(65)*-1 - sqrt(65))*-1)/(sqrt(180)*-2 - sqrt(180)). sqrt(13)/9 + 67392 Simplify ((2*sqrt(245) + 3 + (sqrt(245) - (-1 + sqrt(245) + 3 - sqrt(245))))*5)**2. 1050*sqrt(5) + 55150 Simplify -6*5*(sqrt(384)/((sqrt(800)*-2 - sqrt(800)) + sqrt(800)) + -4)**2. -2418/5 - 48*sqrt(3) Simplify (((sqrt(96) - (-6*(sqrt(96) + (sqrt(96)*2 - sqrt(96))) - sqrt(96)))/sqrt(8))/((sqrt(96) - (sqrt(96) + 2*sqrt(96)))*-3 + sqrt(96) - sqrt(96)))**2. 49/72 Simplify -4*((-3*sqrt(5040))/sqrt(7) - ((sqrt(90)*1)/sqrt(6))/sqrt(3)). 148*sqrt(5) Simplify 2*((1*sqrt(171) + sqrt(171))/sqrt(3))/(-1*(sqrt(48) + sqrt(3))). -4*sqrt(19)/5 Simplify -4 + 4*(-6*((sqrt(85)*6 - sqrt(85)) + sqrt(85))/sqrt(5) + 4). -144*sqrt(17) + 12 Simplify (((sqrt(360)*1)/sqrt(6))/(-1*sqrt(432) + sqrt(432) + sqrt(432))*-4 + -2)**2. 8*sqrt(5)/3 + 56/9 Simplify (sqrt(539) + 0)**2 + (sqrt(132)/(sqrt(12)*-1))**2 + sqrt(264)/sqrt(24). sqrt(11) + 550 Simplify (4*sqrt(170)*-6)/(sqrt(360)*4 - sqrt(10)). -24*sqrt(17)/23 Simplify (3 + -3 + sqrt(10)/sqrt(5))**2 + sqrt(4)/(sqrt(18)/(-3*sqrt(9)) + sqrt(2)). 2 + 3*sqrt(2)/2 Simplify -3*(-1 + sqrt(7)) - sqrt(189)/sqrt(3) - ((sqrt(315)/sqrt(5))/sqrt(9) + -3). -7*sqrt(7) + 6 Simplify -1 + (sqrt(11) - (sqrt(77)/sqrt(7) - sqrt(11))**2*-3 - 2*sqrt(99))*2 + 0. -10*sqrt(11) - 1 Simplify 5 + (-2*sqrt(1053))**2 + (-3*sqrt(26)/sqrt(2))**2 + 4 + -1*(sqrt(13) - sqrt(52)). sqrt(13) + 4338 Simplify (((sqrt(143)/(1*sqrt(11)) - (sqrt(13) + 4*sqrt(39)/sqrt(3))) + -5)*6)**2. 1440*sqrt(13) + 8388 Simplify (3 + ((sqrt(832)*2 + sqrt(832))*-4 - sqrt(832)) + -6*(sqrt(832) + sqrt(832) + 4))**2. 8400*sqrt(13) + 520441 Simplify 5 + 2*(sqrt(27) + sqrt(27)*1)*-5*-3. 5 + 180*sqrt(3) Simplify (sqrt(104)*-1*-5 - -3*(1*sqrt(104) + sqrt(104)))/(-6*(sqrt(8) + sqrt(32)/sqrt(4))*-1). 11*sqrt(13)/12 Simplify 1 + (3*(sqrt(168) + sqrt(168) + sqrt(168) + (sqrt(168)*-1 - sqrt(168) - sqrt(168)) + sqrt(168)))/(sqrt(294)*-2). -3*sqrt(7)/7 + 1 Simplify 2*(sqrt(1900) - ((sqrt(1900)*-1)**2*6 + sqrt(1900)) - ((sqrt(1900)*1)**2 + 1) - (-3 + -4*(-1*sqrt(1900) - sqrt(1900)))). -26596 - 160*sqrt(19) Simplify (sqrt(1008) + -3*sqrt(1008) + 5)**2*1 + 5 + (-1 + sqrt(1008) + sqrt(1008))*-2. -288*sqrt(7) + 4064 Simplify (sqrt(588)/(-2*sqrt(12)))/((2*sqrt(70))/sqrt(10)) + (-1*(0 + sqrt(700))*1)**2. -sqrt(7)/4 + 700 Simplify (sqrt(784)*1 + sqrt(49) + (2*sqrt(539))/sqrt(11))/(sqrt(252)*-1 - (((sqrt(21) - sqrt(42)/sqrt(2)) + sqrt(21))/sqrt(3) - sqrt(7))). -7*sqrt(7)/6 Simplify 2 + sqrt(180) + -2 + -4 + (-4 + (sqrt(80)/(sqrt(32) - sqrt(8)))/sqrt(2))**2. -2*sqrt(5) + 17 Simplify -2 + 6*(1 + ((sqrt(1008)*1)**2 - sqrt(1008)) + (sqrt(1008) + 4*1*sqrt(1008) - sqrt(1008))). 216*sqrt(7) + 6052 Simplify -4*(sqrt(112) + -1) - (1*sqrt(28)*-1 + (sqrt(112) - sqrt(112)*-1)). -22*sqrt(7) + 4 Simplify ((sqrt(170) + sqrt(170)*3)*-5)/(-1*sqrt(810) - sqrt(810)). 10*sqrt(17)/9 Simplify (2*1*sqrt(42)*-5)/((sqrt(144) - sqrt(144)*-2)/sqrt(6) - sqrt(24)). -5*sqrt(7)/2 Simplify ((sqrt(325) - 1*(-1 + sqrt(325))) + -1 + sqrt(325)*-1 + -4 + 2)**2. 20*sqrt(13) + 329 Simplify -6*((sqrt(1700) - (5*(1*sqrt(1700) + sqrt(1700)) + sqrt(1700))) + 0)*4. 2400*sqrt(17) Simplify (sqrt(153) + (sqrt(153) - (-1 + sqrt(153) + -5) - sqrt(153)) + sqrt(153) + sqrt(153) + (sqrt(153) - -2*sqrt(153)) + -2 + 4)**2. 240*sqrt(17) + 3889 Simplify (sqrt(156)/(6*(sqrt(4) - sqrt(100))))/(sqrt(9)/(sqrt(3)*-1*2)). sqrt(13)/12 Simplify ((sqrt(208))**2*6 - sqrt(26)/sqrt(2)*-2) + 3 + -4*(-1 + sqrt(13))**2. 10*sqrt(13) + 1195 Simplify ((sqrt(180) + sqrt(180) + 6*(sqrt(180)*-4 + sqrt(180)) + -5)*4)**2. 15360*sqrt(5) + 737680 Simplify 5*(2 + -1 + 1 + sqrt(242)). 10 + 55*sqrt(2) Simplify -4*(0 + sqrt(304) + 1 + 3)**2. -1280 - 128*sqrt(19) Simplify 5 + 5*(sqrt(1331) + 6*(-1 + sqrt(1331)) - (sqrt(1331) - (sqrt(1331) + 3*sqrt(1331) + 2)))**2. -4400*sqrt(11) + 665585 Simplify 5 + (2 + sqrt(396) + 2 - (sqrt(396) + (sqrt(396)*-1*-5)**2)). -9891 Simplify 4 + (1 + -2*sqrt(2) - sqrt(16)/(sqrt(8)*-2))*6. -9*sqrt(2) + 10 Simplify ((-6*sqrt(99) + 2 + (0 + sqrt(44) - sqrt(44)) + 4*(sqrt(11) + 0))*3)**2. -504*sqrt(11) + 19440 Simplify 1*(sqrt(468) + -1) + -3. -4 + 6*sqrt(13) Simplify (sqrt(648) - (sqrt(648) + (sqrt(648) - -4*-4*sqrt(648))))/(sqrt(108)/(-1*sqrt(300))). -450*sqrt(2) Simplify (4 + 0 + sqrt(108) + sqrt(3) + sqrt(27) + 0 + 1 + sqrt(192) + sqrt(3))**2 + -1. 190*sqrt(3) + 1107 Simplify ((sqrt(96)/sqrt(12) + sqrt(4)/sqrt(2)*-1)*-6 + -4)*-6. 24 + 36*sqrt(2) Simplify (-4*(sqrt(500) + 1) + (sqrt(500) + 3 + (2*sqrt(500) - sqrt(500)))**2)*1. 80*sqrt(5) + 2005 Simplify (-5 + (-1 + sqrt(363))*-1*-5*-1)**2. 9075 Simplify ((sqrt(363) + -6*-2*sqrt(363))/sqrt(11))/(5*(sqrt(11) - sqrt(99)*-1)) + 0. 13*sqrt(3)/20 Simplify -1*(-1*sqrt(8)*-3 + -4*sqrt(8)*-1)/(sqrt(64) - (2*sqrt(64)*-1 - sqrt(64))). -7*sqrt(2)/16 Simplify (5 + -5 + (sqrt(847) - (1*sqrt(847) + 5 + sqrt(847) - sqrt(847))))**2 + 4. 29 Simplify (2*(-4*(sqrt(1900) + -4 - sqrt(1900)) + (sqrt(1900) + -3)*-4))**2. -8960*sqrt(19) + 124736 Simplify -5 + 2*sqrt(13) + 2 + sqrt(52)/(sqrt(256)*1). -3 + 17*sqrt(13)/8 Simplify (2 + 4*5*(sqrt(1377))**2 + 2)*-4. -110176 Simplify ((-4*4*sqrt(99)*1)/(sqrt(324)*-2 + sqrt(27)/sqrt(12)))**2. 11264/529 Simplify -4*(sqrt(1377) - ((-2*sqrt(1377) - sqrt(1377))**2 + 2)) - ((-1*sqrt(272) - (1 + sqrt(272))**2) + -3). -24*sqrt(17) + 49856 Simplify (-2*sqrt(76)*-6)/(1*sqrt(256)). 3*sqrt(19)/2 Simplify (3*sqrt(960) + 2*sqrt(6000))/(5*sqrt(108) + (sqrt(12) - (1*sqrt(96))/sqrt(8) - sqrt(12))). 16*sqrt(5)/7 Simplify (1*1*(sqrt(7) + sqrt(49)/(sqrt(7) + sqrt(28)/sqrt(4)) + sqrt(7) + sqrt(42)/(sqrt(24)/sqrt(4)) - (-4 + sqrt(7) + sqrt(28)/sqrt(4)*5)))**2. -20*sqrt(7) + 239/4 Simplify (-3 + (3 + sqrt(1088)*-2 - sqrt(1088)) + 3*sqrt(1088) + 3 + -4)**2. 1 Simplify (-2 + 3*-4*(sqrt(700) - (sqrt(700) + 1)*3))**2. 16320*sqrt(7) + 404356 Simplify -3*((-4*(sqrt(153))**2 - (2*sqrt(17) + 2)) + sqrt(17) + (1 + sqrt(272))**2 + -3). -21*sqrt(17) + 1032 Simplify ((sqrt(165) + -6*(sqrt(165)*-1 + sqrt(165)) + sqrt(165) - sqrt(165) - sqrt(165))/sqrt(3))/(sqrt(5) + sqrt(45)*4 + -6*sqrt(45)) + -1. -1 Simplify (4*((sqrt(140) + sqrt(140) + sqrt(140) + (sqrt(140) - sqrt(140)*2) + sqrt(140))/sqrt(7) - sqrt(20))/(sqrt(40)/(sqrt(20)/sqrt(2))) + 0)**2. 320 Simplify (1*(sqrt(272) + ((sqrt(272) - (3 + 0 + sqrt(272))) + sqrt(272) - sqrt(272))) + -1 + 3 + -1 + sqrt(272))**2. -32*sqrt(17) + 1092 Simplify (((sqrt(456)/(2*sqrt(12)) + sqrt(38))/sqrt(2) + -4)*3)**2. -108*sqrt(19) + 2115/4 Simplify ((((sqrt(143) - (sqrt(143) - sqrt(143)*-3))*6 + sqrt(143))*1)/(sqrt(11) + sqrt(704)*-1 + sqrt(11) + sqrt(110)/(sqrt(30)/sqrt(3))))**2. 3757/25 Simplify ((sqrt(513) + sqrt(57))*5)/(sqrt(363) + sqrt(363)*2) + (sqrt(19) + (sqrt(171) - (sqrt(171) + -1))**2 + (sqrt(684) - (sqrt(684)*1)**2))*-1. -211*sqrt(19)/33 + 683 Simplify 3*(3 + sqrt(1900)) + 1 + -2. 8 + 30*sqrt(19) Simplify (((2*sqrt(624) + sqrt(39))*6)/(-2*sqrt(192)*2))**2. 9477/256 Simplify -4 + (-1*(-1*sqrt(700)*4 - sqrt(700)))**2. 17496 Simplify (sqrt(462)/sqrt(704))/(sqrt(6)*-1*-6). sqrt(7)/48 Simplify 1 + -1*(-5*((sqrt(147) - sqrt(147)*2) + sqrt(147)) - sqrt(147))**2. -146 Simplify -1 + ((sqrt
{ "pile_set_name": "DM Mathematics" }
f 5735? 5 What is the tens digit of 321? 2 What is the tens digit of 3665? 6 What is the thousands digit of 13219? 3 What is the tens digit of 6881? 8 What is the hundreds digit of 2038? 0 What is the units digit of 4885? 5 What is the units digit of 76575? 5 What is the hundreds digit of 44916? 9 What is the thousands digit of 91098? 1 What is the thousands digit of 31818? 1 What is the units digit of 8557? 7 What is the thousands digit of 65985? 5 What is the thousands digit of 9944? 9 What is the hundreds digit of 1806? 8 What is the thousands digit of 2371? 2 What is the units digit of 35243? 3 What is the hundreds digit of 20803? 8 What is the tens digit of 15328? 2 What is the units digit of 1195? 5 What is the hundreds digit of 8565? 5 What is the tens digit of 2350? 5 What is the hundreds digit of 1009? 0 What is the hundreds digit of 6489? 4 What is the hundreds digit of 4925? 9 What is the thousands digit of 2837? 2 What is the hundreds digit of 1517? 5 What is the hundreds digit of 3292? 2 What is the tens digit of 2645? 4 What is the units digit of 46382? 2 What is the tens digit of 1845? 4 What is the hundreds digit of 1675? 6 What is the ten thousands digit of 12383? 1 What is the units digit of 22970? 0 What is the tens digit of 31316? 1 What is the tens digit of 1772? 7 What is the ten thousands digit of 20274? 2 What is the thousands digit of 69303? 9 What is the hundreds digit of 291? 2 What is the hundreds digit of 18591? 5 What is the hundreds digit of 115555? 5 What is the units digit of 175? 5 What is the thousands digit of 35219? 5 What is the units digit of 39? 9 What is the hundreds digit of 4645? 6 What is the tens digit of 854? 5 What is the thousands digit of 76039? 6 What is the thousands digit of 6216? 6 What is the hundreds digit of 63903? 9 What is the units digit of 30185? 5 What is the units digit of 1793? 3 What is the tens digit of 814? 1 What is the units digit of 29771? 1 What is the units digit of 3264? 4 What is the thousands digit of 69630? 9 What is the tens digit of 974? 7 What is the thousands digit of 55546? 5 What is the thousands digit of 3396? 3 What is the units digit of 683? 3 What is the thousands digit of 11448? 1 What is the units digit of 6433? 3 What is the tens digit of 618? 1 What is the units digit of 3990? 0 What is the tens digit of 225? 2 What is the hundreds digit of 24182? 1 What is the hundred thousands digit of 113280? 1 What is the thousands digit of 4143? 4 What is the tens digit of 6475? 7 What is the hundreds digit of 11949? 9 What is the thousands digit of 3852? 3 What is the tens digit of 2066? 6 What is the tens digit of 1311? 1 What is the units digit of 346? 6 What is the thousands digit of 34466? 4 What is the thousands digit of 5739? 5 What is the hundreds digit of 894? 8 What is the units digit of 19295? 5 What is the tens digit of 4331? 3 What is the hundreds digit of 18231? 2 What is the tens digit of 6657? 5 What is the tens digit of 4452? 5 What is the tens digit of 2352? 5 What is the hundreds digit of 1242? 2 What is the units digit of 1138? 8 What is the ten thousands digit of 15152? 1 What is the units digit of 669? 9 What is the units digit of 1073? 3 What is the hundreds digit of 13928? 9 What is the tens digit of 2875? 7 What is the tens digit of 35311? 1 What is the ten thousands digit of 14540? 1 What is the hundreds digit of 5718? 7 What is the units digit of 85437? 7 What is the hundreds digit of 7516? 5 What is the hundreds digit of 2042? 0 What is the tens digit of 46812? 1 What is the hundreds digit of 25919? 9 What is the units digit of 13721? 1 What is the hundreds digit of 518? 5 What is the tens digit of 16360? 6 What is the units digit of 82? 2 What is the units digit of 25993? 3 What is the thousands digit of 3937? 3 What is the units digit of 2290? 0 What is the units digit of 1919? 9 What is the thousands digit of 85283? 5 What is the ten thousands digit of 81561? 8 What is the units digit of 884? 4 What is the hundreds digit of 50431? 4 What is the tens digit of 28266? 6 What is the thousands digit of 71429? 1 What is the units digit of 25128? 8 What is the tens digit of 192? 9 What is the units digit of 13176? 6 What is the hundreds digit of 2059? 0 What is the hundreds digit of 9174? 1 What is the tens digit of 3969? 6 What is the thousands digit of 36833? 6 What is the units digit of 530? 0 What is the thousands digit of 1578? 1 What is the units digit of 971? 1 What is the hundreds digit of 32359? 3 What is the tens digit of 1690? 9 What is the tens digit of 143? 4 What is the hundreds digit of 2695? 6 What is the ten thousands digit of 33210? 3 What is the tens digit of 10290? 9 What is the hundreds digit of 6090? 0 What is the units digit of 2758? 8 What is the thousands digit of 1903? 1 What is the units digit of 21670? 0 What is the tens digit of 11267? 6 What is the hundreds digit of 33658? 6 What is the tens digit of 1110? 1 What is the units digit of 394? 4 What is the units digit of 4571? 1 What is the hundreds digit of 899? 8 What is the ten thousands digit of 33846? 3 What is the units digit of 566? 6 What is the tens digit of 858? 5 What is the tens digit of 816? 1 What is the hundreds digit of 75491? 4 What is the units digit of 2550? 0 What is the tens digit of 691? 9 What is the tens digit of 38608? 0 What is the thousands digit of 9361? 9 What is the ten thousands digit of 15314? 1 What is the hundreds digit of 21725? 7 What is the thousands digit of 4432? 4 What is the units digit of 1707? 7 What is the tens digit of 152082? 8 What is the units digit of 17835? 5 What is the units digit of 21? 1 What is the ten thousands digit of 77471? 7 What is the thousands digit of 8374? 8 What is the units digit of 386? 6 What is the tens digit of 6549? 4 What is the tens digit of 9502? 0 What is the tens digit of 25141? 4 What is the tens digit of 7844? 4 What is the hundreds digit of 106780? 7 What is the thousands digit of 68795? 8 What is the hundreds digit of 44463? 4 What is the thousands digit of 3926? 3 What is the units digit of 408? 8 What is the hundreds digit of 949? 9 What is the thousands digit of 23712? 3 What is the hundreds digit of 25764? 7 What is the units digit of 65? 5 What is the ten thousands digit of 21344? 2 What is the units digit of 3284? 4 What is the tens digit of 931? 3 What is the tens digit of 84? 8 What is the hundreds digit of 970? 9 What is the hundreds digit of 9756? 7 What is the tens digit of 10419? 1 What is the thousands digit of 6050? 6 What is the units digit of 1749? 9 What is the tens digit of 610? 1 What is the units digit of 34760? 0 What is the units digit of 6046? 6 What is the hundreds digit of 78226? 2 What is the hundreds digit of 1570? 5 What is the tens digit of 61146? 4 What is the ten thousands digit of 64053? 6 What is the ten thousands digit of 24195? 2 What is the hundreds digit of 470? 4 What is the units digit of 89016? 6 What is the tens digit of 1291? 9 What is the units digit of 18567? 7 What is the hundreds digit of 46662? 6 What is the thousands digit of 1047? 1 What is the tens digit of 3005? 0 What is the thousands digit of 2682? 2 What is the units digit of 1176? 6 What is the thousands digit of 116310? 6 What is the units digit of 2458? 8 What is the hundreds digit of 57666? 6 What is the tens digit of 7669? 6 What is the thousands digit of 2699? 2 What is the hundreds digit of 168? 1 What is the units digit of 1111? 1 What is the hundreds digit of 10876? 8 What is the thousands digit of 36593? 6 What is the units digit of 9711? 1 What is the units digit of 96791? 1 What is the tens digit of 4512? 1 What is the thousands digit of 3985? 3 What is the hundreds digit of 558? 5 What is the units digit of 88? 8 What is the units digit of 255? 5 What is the units digit of 8383? 3 What is the units digit of 61371? 1 What is the hundreds digit of 508? 5 What is the thousands digit of 3297? 3 What is the tens digit of 523? 2 What is the tens digit of 110763? 6 What is the hundreds digit of 8787? 7 What is the units digit of 346? 6 What is the units digit of 310? 0 What is the tens digit of 13600? 0 What is the thousands digit of 24272? 4 What is the thousands digit of 3
{ "pile_set_name": "DM Mathematics" }
of h**4/8 + 7*h**3/6 + 3*h**2. Let k(m) = 6*j(m) - t(m). Differentiate k(p) with respect to p. 3 Let r be (4/(-1))/(4/(-2)). Let t be (-1*1)/(r/(-2)). Find the second derivative of -t + 1 - a - 3*a**3 wrt a. -18*a Let c(g) = -g + 10. Suppose -82 = -5*u - 3*w - 30, -3*w = -5*u + 28. Let v be c(u). What is the third derivative of -3*z**4 - 2*z**4 + 6*z**4 - z**v wrt z? 24*z Let n be (-26)/(-10) + 8/20. Find the first derivative of 1 + 3 - 8*q**n - 2 wrt q. -24*q**2 Let b(w) be the second derivative of -w**6/15 + 7*w**3/6 + 9*w. What is the second derivative of b(s) wrt s? -24*s**2 Let j = 147 - 143. Let v(i) be the first derivative of i**3 + 0*i**2 - 1/5*i**5 + 1 + 0*i + 0*i**j. Find the third derivative of v(o) wrt o. -24*o What is the third derivative of -9*w**2 + 0*w**4 - 2*w**2 - 4*w**2 - 6*w**4 wrt w? -144*w Let z(j) = 6*j**4 + j**3 - 3*j**2 + j - 1. Let r(c) = c**4 + c**3 + c**2 + c - 1. Let l(b) = r(b) - z(b). What is the third derivative of l(p) wrt p? -120*p What is the second derivative of 6*i + 4*i**5 - 13*i**5 + i**5 wrt i? -160*i**3 Let x(g) = -26*g**3 + 104*g. Let q(j) = -9*j**3 + 35*j. Let s(o) = 16*q(o) - 5*x(o). What is the second derivative of s(u) wrt u? -84*u Let a(x) = x**4 + x**3 + x**2 - x + 1. Let h(s) = -5*s**4 - s**3 - s**2 - 1. Let f(z) = -a(z) - h(z). Find the second derivative of f(w) wrt w. 48*w**2 What is the third derivative of 21*n**2 + 9*n**4 + 9*n**4 - 22*n**4 wrt n? -96*n Let k be 2 - 4/8*-2. Let d(q) be the first derivative of 0*q**2 + 0*q + 1/2*q**4 - q**k - 2. Find the third derivative of d(h) wrt h. 12 Let k(d) be the first derivative of 23*d**4/4 - 6*d**3 - 24. What is the third derivative of k(i) wrt i? 138 Let z(j) be the third derivative of 7*j**6/15 + 31*j**5/60 + 2*j**2 + 6. What is the third derivative of z(i) wrt i? 336 Let d(z) = z - 1. Let n be d(3). Differentiate -8 + i**n - i**4 - 6*i**4 - i**2 with respect to i. -28*i**3 Let h(g) be the second derivative of g**3/6 - 7*g**2/2 + 8*g. Find the first derivative of h(f) wrt f. 1 Let s(i) = 4*i**2 - 3. Let f(j) = -j - 2. Let g be f(0). Let b(v) = v**2 - v - 1. Let t(l) = g*s(l) + 6*b(l). What is the second derivative of t(m) wrt m? -4 Let z(t) = -11*t**3 - 3*t**2 + 22*t - 3. Let b(m) = 21*m**3 + 5*m**2 - 43*m + 5. Let r(f) = 3*b(f) + 5*z(f). What is the second derivative of r(o) wrt o? 48*o Suppose 0 = 5*w - 5*k + 30, -2 + 26 = -4*w + k. Let f = 12 + w. What is the third derivative of -2*d**f + 0*d**6 - 2*d**2 + d**2 wrt d? -240*d**3 Let w(x) be the first derivative of -x**6/24 - x**5/12 + x**2 - 5. Let a(p) be the second derivative of w(p). What is the third derivative of a(g) wrt g? -30 Suppose i - 8 = -3*i. What is the second derivative of -4*a + i*a + 4*a**5 - a wrt a? 80*a**3 Let y = 8 + -14. Let c = 10 + y. Differentiate -1 + o**3 + c - 1 wrt o. 3*o**2 Let y(f) = f**3 - 3*f**2 + 2*f - 1. Let p be y(3). Let m be p + 2/(-2 - 0). Differentiate -1 + 4*o**4 + o**m - 2*o**4 with respect to o. 12*o**3 Let d(h) = -67*h**2 - 9. Let j(m) = -67*m**2 - 9. Let w(f) = 4*d(f) - 5*j(f). Differentiate w(q) with respect to q. 134*q Let f(x) = 1 - 2*x**2 + 3*x**2 + 0. Let z(c) = 4*c**2 + 8. Let t(s) = -5*f(s) + z(s). What is the derivative of t(u) wrt u? -2*u Let o be 2/12 + (-34)/(-12). Differentiate 3*b**o + 3 + 20*b - 20*b with respect to b. 9*b**2 Let q(o) be the second derivative of -o**7/3 - 14*o**3/3 - 36*o. Find the second derivative of q(s) wrt s. -280*s**3 Let u(w) be the first derivative of -12*w**5 + w + 21. Differentiate u(x) with respect to x. -240*x**3 Let q(y) = 6*y**2 - 7. Let c(l) = -l**2 - 1. Let a(x) = -c(x) + q(x). Find the first derivative of a(n) wrt n. 14*n Let n(a) = a**4 - 1. Let o be (-3)/1*(-20)/(-12). Let j(w) = 3*w**5 + 5*w**4 + 3*w - 5. Let g(h) = o*n(h) + j(h). Find the second derivative of g(u) wrt u. 60*u**3 Suppose 1 + 2 = f. Find the second derivative of 3*p + p**3 - p**f - 3*p**3 wrt p. -18*p Let g(f) be the third derivative of 8*f**7/105 - 3*f**3/2 - 5*f**2. Differentiate g(t) wrt t. 64*t**3 Find the third derivative of -11*g**2 + 0*g**2 - 2*g**4 - 7*g**4 wrt g. -216*g Let m(s) be the third derivative of 31*s**6/120 + 11*s**4/12 - 41*s**2. Find the second derivative of m(x) wrt x. 186*x Let b(q) be the second derivative of -1/6*q**6 + 4*q + 0 + 0*q**2 + 1/6*q**3 + 0*q**5 + 0*q**4. What is the second derivative of b(s) wrt s? -60*s**2 Let n(j) = 13*j**3 - 14*j**2 - 6*j - 6. Let x(s) = s**3 - s**2 - s - 1. Let z(t) = n(t) - 6*x(t). Find the third derivative of z(l) wrt l. 42 What is the derivative of 3 + 5 + 3*k**3 - 2 wrt k? 9*k**2 Let z(i) be the third derivative of -i**9/72 + 2*i**5/15 - 3*i**2. Find the third derivative of z(g) wrt g. -840*g**3 Let r(g) be the first derivative of 0*g + 3 + 0*g**5 + 0*g**4 - 1/6*g**6 + g**3 + 0*g**2. Find the third derivative of r(v) wrt v. -60*v**2 Suppose h = 5*x - 26, 5*h = 26 - 6. Let y = x - 4. What is the second derivative of -y*d + d + d**5 + d**5 wrt d? 40*d**3 What is the second derivative of -23*j + 12*j**5 + 3*j + 9*j wrt j? 240*j**3 Suppose -2*l + 3 = -5*b - 21, b = -2*l. Suppose l*h = 2*p + 8, 3*h + 4 = 4*p + 17. Find the second derivative of -4*u - u**3 + 5*u**3 - h*u**3 wrt u. 6*u Let a = 23 + -21. What is the third derivative of -6*s**a + 10*s**4 - 2*s**4 + 2*s**2 wrt s? 192*s Let t = -8 - -11. What is the derivative of 3*i**3 + 0*i**3 + 1 + 3 - i**t wrt i? 6*i**2 Let o(p) = -2*p**4 - 4*p**3 + p. Let x(c) = -c**3 + c. Let r = -9 + 8. Let y(z) = r*o(z) + 4*x(z). What is the second derivative of y(w) wrt w? 24*w**2 Let w(m) be the first derivative of 2*m**7/105 - 2*m**3/3 - 3*m**2/2 + 2. Let v(o) be the second derivative of w(o). Differentiate v(y) with respect to y. 16*y**3 Let f(p) = 4*p**3 - 6*p**2 - p - 1. Let w(d) = d**2 - d - 1. Let n(g) = f(g) - w(g). What is the third derivative of n(y) wrt y? 24 Let m(t) be the third derivative of -t**4/4 - 5*t**3/6 - 10*t**2. What is the derivative of m(z) wrt z? -6 What is the third derivative of -22*g**2 + 32*g**3 - 21*g**3 + 2*g**2 wrt g? 66 Let z(m) be the first derivative of 54*m**7/7 - m**3 + 3*m**2/2 + 61. Find the third derivative of z(c) wrt c. 6480*c**3 What is the derivative of 6*o**2 - 19*o**4 + 2 - 7*o**2 + o**2 wrt o? -76*o**3 Let d(v) be the third derivative of 0*v**5 + 2*v**2 + 1/6*v**3 + 0*v + 0 + 0*v**6 + 0*v**4 + 1/210*v**7. Differentiate d(l) wrt l. 4*l**3 Let r = -2 - -12. Suppose 0*z + 5*z - r = 0. Find the second derivative of c - 4*c**2 + z*c**3 + 4*c**2 wrt c. 12*c Let b(r) = -r + 5. Let a be b(4). Let y(z) = 2*z**2 + 3*z. Let f(m) = m**2 + m - 1. Let d(v) = a*y(v) - 3*f(v). What is the derivative of d(t) wrt t? -2*t Let q(f) = f**2 + 4*f - 3. Let w be q(-6). Suppose -3*p + 9 = -5*i, 5*p - 5*i - 15 = -0*i. Find the second derivative of 10*m - w*m - 3*m**3 + 4*m**p wrt m. 6*m Let j(o) be the second derivative of -5*o**4/6 - 5*o**2/2 + 13*o. What is the first derivative of j(c) wrt c? -20*c What is the derivative of -2*u - 8*u**2 + 2*u - 12 + u**2 wrt u? -14*u Suppose -2*i + 4 - 13 = -3*s, -2*s + 6 = 3*i. Let b(r) be the second derivative of r + 0*r**s - 1/2*r**2 + 0 + 1/6*r**4. Differentiate b(q) with respect to q. 4*q Let i(l) = l**3 + 12*l**2 + 10*l - 6. Let b be i(-11). Suppose 0 = 5*d + p - 13, -6 = 3*p - b*p. Differentiate 4 - 1 + 2*n**2 - d - 6*n**2 with respect to n. -8*n Find the second derivative of -383*o**2 + 16*o**3 - 7*o + 383*o**2 wrt o. 96*o Differentiate 1 + 5 - 3 - 57*r + 53*r with respect to r. -4 Let i(y) = 0*y**2 - 4 + 4*y + 7 + 2*y**2. Let h be i(-2). Find the third derivative of 2*d**2 - 2*d**5 + 3*d**h - 3*d**3 wrt d. -120*d**2 Suppose 3*g = -3*d - 24, 2*d + 9 = -5*g - 22. Let w be 2 + g + (1 - -2). Find the third derivative of y**2 + w*y**3 - y**3 - 2*y**2 wrt y. -6 Let y(v) be the first derivative of v**8/168 - v**4/24 + v**2/2 + 3. Let h(j) be the second derivative of y(j). What is the second derivative of h(m) wrt m? 40*m**3 Suppose -o = o - 32. What is the second derivative of -5*r - 3*r**4 - 16 + o wrt r? -36*r**2 Find the second derivative of 144 + 0*s**4 + 33*s - 144 + 22*s**4 wrt s. 264*s**2 Suppose d - 17 = 3*d + z, 5*d + 4*z = -50. Let w be ((-4)/6)/(2/d). What is the second derivative of r**5 - r - 3*r**5 + w*r wrt r? -40*r**3 Let f(b) = 3*b**3 - 5*b - 2. Let t(x) = 2*x*
{ "pile_set_name": "DM Mathematics" }
) Simplify (d*d**(-3))/(d/d**(-13/3))*d**16/(d/(d*d*d/d**(3/16))) assuming d is positive. d**(503/48) Simplify (d*d**(2/5)/d)**(-49)*d*d**(9/5)/d*d*d*d**17 assuming d is positive. d**(6/5) Simplify (d*d**(-1/4))**(-2/31)*d**(-11)/((d/(d/(d/(d/(d*d*d**(-2/23)/d)))))/d) assuming d is positive. d**(-15631/1426) Simplify (u/(u*u**(-2/7)))**(3/10)*(u/(u*u/((u/(u/u**(-1/4)))/u)*u))/(u**(-2/29)/u) assuming u is positive. u**(-8507/4060) Simplify ((w/(w*w/w**(-1))*w)/(w*w**23))/(((w*(w*w**6*w)/w)/w)/(w**(-1/12)/w)) assuming w is positive. w**(-397/12) Simplify b**(3/8)*b/b**(12/11)*b**8/(b**(-8)/b) assuming b is positive. b**(1521/88) Simplify (r*r**5/r)/r**2*r**(-1/2)/(r**(-2/11)/r) assuming r is positive. r**(81/22) Simplify (j**(-6/7)*(j*j*j**(8/3))/j)/(j**(2/57)/(j/((j/((j**30/j)/j))/j))) assuming j is positive. j**(4226/133) Simplify (((y/(y/(y**(-2/11)/y)))/y)/y*y**31)**(17/4) assuming y is positive. y**(2601/22) Simplify ((l*l/l**(2/9)*l*l)/(l**(-10)/l))/(l**(-2)*l/(((l*l**(8/3))/l)/l)) assuming l is positive. l**(157/9) Simplify (d/d**(2/11))**(25/2)*d**(2/13)*d*d**8*d assuming d is positive. d**(5829/286) Simplify ((m/(((((m/((m*m**(-10)/m)/m))/m)/m)/m)/m))/m*m**(-5))/(m**(-2/11))**(3/22) assuming m is positive. m**(-1570/121) Simplify (d**(-9)/(d**(-32)*d*d))**(-2/49) assuming d is positive. d**(-6/7) Simplify (p**(-5)/((p**(-1/10)*p)/p)*(p**0*p)**(-14))**(2/33) assuming p is positive. p**(-63/55) Simplify (h**(-4)*h*(h/(h/(h**(1/3)*h*h*h)*h))/h)/((h*h**(-2)*h)/h)**(9/4) assuming h is positive. h**(7/12) Simplify ((q/q**(1/2)*q*q**(-6)*q)**(-43))**(-14/5) assuming q is positive. q**(-2107/5) Simplify (m**(-1/17)/(m/(m**(1/22)*m*m)))/((m/(m**(-27)*m*m))/m*m**(-13)) assuming m is positive. m**(-4119/374) Simplify (q*(q*q**(-1/8)*q)/q)**(-13)/((q*q*((q**(-8)*q)/q)/q)/q**(1/8)) assuming q is positive. q**(-69/4) Simplify ((f*f**(-7)/f)/f)**9*f**(-20)/f**(-16) assuming f is positive. f**(-76) Simplify ((y/y**(-7/5))/y**(-9))/(y**5/y**13) assuming y is positive. y**(97/5) Simplify (w*w*w**(-3))**39/(w**20*w**4) assuming w is positive. w**(-63) Simplify (b/b**(-32)*b*b/(b/b**(-2/65)))/(((b**(-10)*b)/b)/(b**(-32)/b)) assuming b is positive. b**(713/65) Simplify ((j*j**(4/3)*j*j)**(-9/11))**33 assuming j is positive. j**(-117) Simplify (k**(-8))**(-2/117)/((k*k**(-25))/k*k**(2/17)/k) assuming k is positive. k**(51752/1989) Simplify (c**(1/5))**35*(c/(c**(2/3)/c))**0 assuming c is positive. c**7 Simplify (o**(-7)/(o**(-8/7)/o))/((o*o**(-1/9))/(o/(o*o**2))) assuming o is positive. o**(-488/63) Simplify r*r/((r*(r/(r*r/r**(-1/2)))/r*r)/r)*r*r*r**6*r**(-6)*r**12 assuming r is positive. r**(35/2) Simplify ((q/(q*q/q**4)*q)**38*(q/q**4)**(-45))**(1/2) assuming q is positive. q**(287/2) Simplify ((p**(1/18)/(p**(2/13)/p))/(p**(-8)/p*p*p*p**(2/13)))**(-32) assuming p is positive. p**(-29008/117) Simplify ((p/p**1)**(-33)*p/p**(-6)*p**(-1/10))**15 assuming p is positive. p**(207/2) Simplify (z/z**(-13)*z)/z*z**(-3/14)/z*(z**(-4))**(18/13) assuming z is positive. z**(1319/182) Simplify n**(-2/29)/n**(-5/7)*(n**4)**(-2/3) assuming n is positive. n**(-1231/609) Simplify (a/a**16)/a*a*a**(-1/9)*a**(2/29)/(a/((a/a**(3/13)*a*a)/a)) assuming a is positive. a**(-48428/3393) Simplify (j*j/(j/(j**(1/21)*j)))/j**(4/7)*(j**(2/9)*j)/(j/(j**(-25)*j)) assuming j is positive. j**(-1405/63) Simplify (l**(-3/23)*l)/((l*l*l*l**(-1/2))/l)*(l/l**(-7/2)*l)/l*l*l*l**17 assuming l is positive. l**(526/23) Simplify j**7*j**(-23)/j*j*j**19*j/(j/j**(-2/83)) assuming j is positive. j**(247/83) Simplify ((r**(4/23))**(-38))**8 assuming r is positive. r**(-1216/23) Simplify (q**34*q*q**(3/4))/(q**(-5/6)/q*q*q/(q**(-10/11)*q)*q*q) assuming q is positive. q**(4445/132) Simplify (s/(s*s*s**5)*s*s**(-4)/s)/((s/(s/(s**5*s*s))*s*s)/(s/(((s*s**6)/s)/s))) assuming s is positive. s**(-23) Simplify ((c**(16/7)*c*c)/(c*c*c*c*(c/c**(-13))/c*c))/(c**(-8)*c*(c*c**(1/14)*c)/c) assuming c is positive. c**(-109/14) Simplify (i/i**(-3/5))**44*i**(-2/5)*i*i*i**(-2/45)/i*i assuming i is positive. i**(3238/45) Simplify (c*c*c**(-4/11)*c*c*(c*c**31)/c)/(c**(-2/41)*(c/c**(-16))/c) assuming c is positive. c**(8427/451) Simplify (x/(x**(1/5)*x))**(-2/59)*(x*(((x/x**(2/5)*x*x)/x)/x)/x*x*x)/x*x/x**11 assuming x is positive. x**(-2476/295) Simplify ((w/w**(2/7))**19*(w**(-8)*w)/w**(-1/11))**(-46) assuming w is positive. w**(-23598/77) Simplify ((l**(-6)*l/(l**(-26)*l)*l)**(-1/19))**(7/8) assuming l is positive. l**(-147/152) Simplify (s**(-2/17)*s*s*(s/(s**(1/11)/s))/s*s*(s*(s*s/(s/(s/(s*(s*s**(-2))/s)))*s)/s*s)/s**(-5))**(-25) assuming s is positive. s**(-64475/187) Simplify (y/y**(-7))**9/(((y*y/((y/(y**(-26)/y))/y*y))/y)/(y/y**(-19))) assuming y is positive. y**119 Simplify (z**(-1))**(-3/17)*(z**(2/5)/z*z)/z**(-9) assuming z is positive. z**(814/85) Simplify (i/(i*i/(i/(i*i*i/((i**(2/9)/i*i)/i)))))**18/((i/i**8)/(i**0/i)) assuming i is positive. i**(-62) Simplify (h**(-1/7))**(-8/15)/(h**(15/2)/(h*(h*h**(-3/11))/h)) assuming h is positive. h**(-15469/2310) Simplify ((p**(-7)/(((p*p**8/p)/p)/p))**11)**(3/22) assuming p is positive. p**(-39/2) Simplify (((((l/(((l/(l/l**(-2/5)*l))/l)/l))/l)/l*l)**(6/19))**44)**(-45) assuming l is positive. l**(-40392/19) Simplify (i**(-1)*i)**(-2/29)*i**(-12/7)*i/(i/(i**(-1/14)*i)) assuming i is positive. i**(-11/14) Simplify (t*t**(-17/2)*t*(t*t**39)/t*t)/(t**(-2/73)/t**(-1)) assuming t is positive. t**(4749/146) Simplify (l*l**2/l)**(-31)*l*(l*l*l**(-5/2))/l*(l*l*l**(-1/8))/l assuming l is positive. l**(-493/8) Simplify (((t**(-2/5)*t)/(t/(t/(t/(t*t**(-2/19))))))**27)**(1/8) assuming t is positive. t**(1269/760) Simplify (u/(u**(5/3)*u)*u**(-10/3))/(u*u*u**(-7)*u/u**(12/5)*u) assuming u is positive. u**(2/5) Simplify (f**(6/19)*f**(1/18))/(f**(1/12))**(-49) assuming f is positive. f**(3047/684) Simplify (i**(-4))**(-6/11)*(i**5)**(-19) assuming i is positive. i**(-1021/11) Simplify (m**(4/3)*m**2*m*m)/(m*m*m*m**(-5)*m*m*m)**(-1/2) assuming m is positive. m**(35/6) Simplify (z**(-10/11)*z*z**(-1/6))/(z*z/(((z*z**(10/11))/z)/z)*z*z*z/(z*(z*z**(-1))/z*z*z)*z) assuming z is positive. z**(-25/6) Simplify (((p/(p/(p/p**(-3))))/p**(1/8))**29)**(-9) assuming p is positive. p**(-8091/8) Simplify ((p**(-2/19)/p*p)/(p/(p*p**8)*p*p))/((p/(p**(-6)/p))/(p**(-2)/p)) assuming p is positive. p**(-97/19) Simplify (r/(r*r**(-2/17)/r))**(1/2)/((r**6/r)/(r/(r*r*r/(r/(r/(r**(-21)*r)))))) assuming r is positive. r**(-899/34) Simplify (((v/(v**0*v))**(-1/19))**(1/14))**4 assuming v is positive. 1 Simplify ((n/(n*n**(5/8)))/n)**(1/6)*n*n*(n/(n/(n*n/(n**1/n)))*n)/n*n/(n/(n*n**(-13))) assuming n is positive. n**(-397/48) Simplify ((d/d**(-1))**(-2/39)*d**(-1/9)*d*d*d**5*d)**(1/9) assuming d is positive. d**(911/1053) Simplify h**11*h/(h**(-4)/h)*(h/(h/h**4))/h**4 assuming h is positive. h**17 Simplify (((r/r**(-19))/r)/r**19)/(r/r**(1/9))**17 assuming r is positive. r**(-136/9) Simplify (q**(2/23)*((q**14*q)/q*q*q)/q)**(-1/15) assuming q is positive. q**(-347/345) Simplify (a/a**(-2/7)*a*a**(-6)/a*a)/(a**(2/3)*a/(a*a*a/(a*a/a**(-6))*a)*a) assuming a is positive. a**(-218/21) Simplify ((p*(p**(-11)*p)/p*p*p)/p*p*p)/(p*p/((p*p*(p**(-8)*p)/p*p)/p))*(p**(-9))**(-1/6) assuming p is positive. p**(-27/2) Simplify x**(-7/6)*x*(x*x**(12/5)/x)/x*x**(-1/9)/(x*x**(-2/5)) assuming x is positive. x**(47/90) Simplify (f**(-14))**43/((f/(f**(-22)/f))/f*f**(1/12)) assuming f is positive. f**(-7501/12) Simplify (i/((i**(1/4)*i)/i))/i**(1/5)*(i/(i*(i/i**(-3/7))/i)*i*i)**(-31) assuming i is positive. i**(-6743/140) Simplify (((h**(-3/5)/h)/h*h)/h*h)**(-20/9)/((h*h*(h/h**1)/h)/((h**(-7)/h)/h)) assuming h is positive. h**(-58/9) Simplify ((g**(-11)/g)/g)**7/((g/(g*g**(-3)*g))/g*g*g/(g*g**7/g*g)*g) assuming g is positive. g**(-87) Simplify (((y/((y*y/(y/(y/((y*y*y*y**(-4)*y*y)/y*y))))/y))/y**(2/17))**(3/35))**31 assuming y is positive. y**(279/119) Simplify (u**(-14))**38/(u/(u*u/(u*(u**(4/7)/u)/u)))**(-2/37) assuming u is positive. u**(-137808/259) Simplify (m*m/m**(-31))/((m**20*m*m)/m)*(m*(m**(-1/16)*m)/m)/((m**(2/7)/m*m)/m) assuming m is positive. m**(1529/112) Simplify (q**15/q)**21/((q/q**22)/q)**(1/4) assuming q is positive. q**(599/2) Simplify (g**7)**50/(g*g**34*g/g**(-6)) assuming g is positive. g**308 Simplify (
{ "pile_set_name": "DM Mathematics" }
4908112? True Is 9303576 a multiple of 1584? False Is 869661280 a multiple of 562? True Does 14 divide 11994178? True Is 1084454735 a multiple of 893? True Is 10 a factor of 1298311370? True Is 110 a factor of 59201225? False Does 2895 divide 3304040340? True Is 355378 a multiple of 195? False Is 20 a factor of 47937280? True Does 1899 divide 132062157? True Is 85072256 a multiple of 128? True Is 8595521 a multiple of 287? False Does 541 divide 529737763? False Is 51 a factor of 663384132? True Does 4225 divide 431989350? True Is 685578502 a multiple of 5282? False Is 131 a factor of 307325586? False Is 37310227 a multiple of 34? False Is 3015000 a multiple of 1675? True Is 19 a factor of 368398124? False Does 887 divide 236215196? True Does 128 divide 1249944064? True Is 24581190 a multiple of 866? False Does 5997 divide 918902319? True Does 370 divide 241516390? True Is 1675 a factor of 20843700? True Is 14 a factor of 300260025? False Is 48 a factor of 1717294272? True Does 103 divide 103736553? True Does 540 divide 33038404? False Is 102 a factor of 24199296? True Is 41645787 a multiple of 182? False Is 29669476 a multiple of 134? True Is 19 a factor of 376491179? False Is 331764624 a multiple of 19? True Does 15 divide 711802518? False Is 378908412 a multiple of 186? True Is 30983904 a multiple of 2? True Does 12 divide 162471695? False Does 48 divide 547097610? False Is 17 a factor of 1072853? True Is 21 a factor of 325398917? False Is 16714 a factor of 759868582? True Is 12 a factor of 12267540? True Is 104 a factor of 233255646? False Does 18 divide 17385241? False Does 91 divide 2271978841? False Does 215 divide 8485190? True Does 465 divide 4236126? False Does 16 divide 414126931? False Is 966407548 a multiple of 9? False Is 114226328 a multiple of 41? True Is 97 a factor of 312719455? False Does 60 divide 42662421? False Is 3843747 a multiple of 261? True Does 16 divide 294148112? True Does 1163 divide 89142787? True Does 29 divide 68467695? True Does 42 divide 3005901444? True Does 16 divide 2147418368? True Is 643924 a multiple of 257? False Is 26 a factor of 165849600? False Is 136041836 a multiple of 49? True Does 6 divide 5167770? True Is 326 a factor of 1907042227? False Is 213710540 a multiple of 6388? True Is 48 a factor of 116354? False Does 4188 divide 1456297428? True Is 89115690 a multiple of 10? True Is 312261978 a multiple of 7? True Is 102551507 a multiple of 32? False Does 46 divide 150286218? False Is 186577834 a multiple of 3? False Does 1361 divide 41034422? False Is 121716660 a multiple of 860? True Is 22 a factor of 831253948? False Is 1002296550 a multiple of 8912? False Does 44 divide 433377868? True Does 7872 divide 93585290? False Is 18 a factor of 331337542? False Does 15 divide 38240371? False Is 108323853 a multiple of 27? False Is 1404411665 a multiple of 3215? True Does 7 divide 18923709? True Is 29012006 a multiple of 58? True Is 322186 a multiple of 12? False Is 886338 a multiple of 18? True Is 8 a factor of 364392? True Does 643 divide 45950066? True Does 291 divide 25622781? False Does 1225 divide 312770675? True Is 447 a factor of 87373537? False Is 59 a factor of 2289200? True Is 487 a factor of 435520204? True Is 131 a factor of 12110557? True Does 4 divide 32672880? True Is 142772313 a multiple of 76? False Does 105 divide 14142348? False Does 774 divide 165500550? True Is 1358 a factor of 39096844? False Is 196 a factor of 796151804? True Is 421 a factor of 90513737? True Does 1982 divide 4968874? True Is 12 a factor of 500072364? True Is 26304478 a multiple of 11? False Does 18 divide 250672734? True Does 41 divide 29885925? True Is 508443244 a multiple of 157? True Does 1471 divide 2095173763? False Is 597398187 a multiple of 59? True Does 45 divide 57069831? False Is 1569658 a multiple of 5? False Is 141962102 a multiple of 4? False Is 154075369 a multiple of 8? False Is 19 a factor of 121530953? False Does 470 divide 527774280? True Is 271276443 a multiple of 5877? True Does 14 divide 18517240? True Does 4 divide 76315068? True Is 996987925 a multiple of 25? True Does 131 divide 13817225? True Is 66 a factor of 157274436? True Does 9 divide 39709649? False Does 59 divide 141506639? False Is 65062940 a multiple of 366? False Is 2135 a factor of 1963245655? True Is 183 a factor of 25486593? True Does 252 divide 15654744? True Is 109095676 a multiple of 38? False Does 23 divide 61463189? False Does 23 divide 32970782? False Is 54330440 a multiple of 49? False Is 10 a factor of 9090400? True Is 141021101 a multiple of 1321? False Is 424695350 a multiple of 62? True Is 1385 a factor of 243294977? False Is 3 a factor of 207320940? True Does 64 divide 51837376? True Is 352368 a multiple of 24? True Does 909 divide 377118648? True Is 224739592 a multiple of 4114? True Does 8073 divide 1152904849? False Is 41648968 a multiple of 1420? False Is 91 a factor of 4800825? False Is 1799779536 a multiple of 9? True Is 2180160812 a multiple of 17? False Does 742 divide 109851616? True Does 5 divide 6605455? True Is 37873983 a multiple of 21? True Does 12 divide 27020364? True Is 3197 a factor of 935371721? False Is 24 a factor of 241016615? False Is 2504 a factor of 793154520? True Does 271 divide 350178341? True Is 21 a factor of 11831968? False Does 105 divide 18112213? False Does 72 divide 288064312? False Is 224 a factor of 201475008? True Is 25 a factor of 17515600? True Does 22 divide 5338234? True Does 2050 divide 63711950? True Is 144 a factor of 31459104? True Does 15 divide 130243500? True Does 30 divide 11871540? True Is 2119 a factor of 34619845? False Is 93 a factor of 1587228117? True Is 2173022581 a multiple of 61? True Is 15776362 a multiple of 20? False Is 4967567 a multiple of 645? False Is 44845584 a multiple of 56? True Is 2299499235 a multiple of 15? True Is 94 a factor of 68841025? False Is 186 a factor of 592686954? True Is 1578 a factor of 37201350? True Is 1135 a factor of 88098553? False Is 18 a factor of 9139392? True Is 40118671 a multiple of 46? False Is 2779 a factor of 9501401? True Is 7 a factor of 34802264? True Is 33 a factor of 1123572896? False Is 478649574 a multiple of 18? True Is 2 a factor of 4477996? True Is 14813568 a multiple of 12? True Is 1805 a factor of 79120271? False Is 1117813294 a multiple of 667? True Is 49956196 a multiple of 232? False Is 138517420 a multiple of 7? False Does 2293 divide 342754751? False Is 7 a factor of 426738060? True Is 13 a factor of 665753218? True Does 3083 divide 53490050? True Is 900654 a multiple of 222? True Is 88702525 a multiple of 24? False Does 9 divide 75958128? True Is 267 a factor of 139959798? True Does 926 divide 2343910646? True Does 1609 divide 1927653376? False Is 7542186150 a multiple of 19850? True Is 1099 a factor of 3619860665? False Is 867 a factor of 1319335575? True Does 3 divide 902907621? True Is 478 a factor of 217707012? True Is 29 a factor of 60070376? False Is 67 a factor of 386624639? True Does 7 divide 159526961? False Is 5 a factor of 83188060? True Is 71414421 a multiple of 13? True Is 361 a factor of 1214578002? True Is 108545054 a multiple of 178? False Does 11 divide 23819325? False Is 113802359 a multiple of 11? True Is 7044748 a multiple of 339? False Does 1576 divide 1139510450? False Does 13 divide 213297437? False Is 889798860 a multiple of 829? True Is 1845049902 a multiple of 5880? False Is 8951664 a multiple of 48? True Does 42 divide 20479074? True Is 85 a factor of 189659310? True Does 707 divide 720731354? True Is 282 a factor of 109968720? True Is 29968864 a multiple of 104? False Is 2515763397 a multiple of 99? False Is 3 a factor of 2614968? True Is 35288352 a multiple of 3476? True Does 9 divide 799274737? False Does 660 divide 132664916? False Is 88698653 a multiple of 59? True Does 19 divide 115548994? True Is 1004 a factor of 51208646? False Does 516 divide 1466988? True Is 534 a factor of 83130984? True Is 771036436 a multiple of 420? False Is 229331894 a multiple of 5654? True Is 82124224 a multiple of 52? True Is 12 a factor of 24633423? False Is 4238 a factor of 425111576? False Is 13822390 a multiple of 15? False Is 80024448 a multiple of 84? True Is 69734600 a multipl
{ "pile_set_name": "DM Mathematics" }
he remainder when 40112 is divided by 2192. 656 What is the remainder when 119785 is divided by 17090? 155 What is the remainder when 521121 is divided by 521110? 11 Calculate the remainder when 9494279 is divided by 78465. 14 What is the remainder when 29288104 is divided by 135? 124 What is the remainder when 2973373 is divided by 112? 109 What is the remainder when 2851607 is divided by 219? 8 What is the remainder when 3064508 is divided by 56749? 62 What is the remainder when 1059290 is divided by 529559? 172 What is the remainder when 80201 is divided by 637? 576 What is the remainder when 534 is divided by 260? 14 What is the remainder when 219146 is divided by 1033? 150 Calculate the remainder when 645545962 is divided by 1028. 1026 What is the remainder when 195003 is divided by 2169? 1962 What is the remainder when 84633 is divided by 44? 21 Calculate the remainder when 3751282 is divided by 159. 154 Calculate the remainder when 1080343 is divided by 360084. 91 Calculate the remainder when 13788727 is divided by 17410. 7 Calculate the remainder when 771067371 is divided by 17. 3 What is the remainder when 213067293 is divided by 6? 3 Calculate the remainder when 63176 is divided by 3326. 3308 Calculate the remainder when 168413 is divided by 33654. 143 What is the remainder when 490461419 is divided by 11686? 11685 What is the remainder when 279310 is divided by 588? 10 Calculate the remainder when 971553 is divided by 971452. 101 Calculate the remainder when 300232835 is divided by 1367. 1359 Calculate the remainder when 492482 is divided by 98491. 27 What is the remainder when 1808517 is divided by 301404? 93 What is the remainder when 8615 is divided by 434? 369 Calculate the remainder when 67890 is divided by 16954. 74 What is the remainder when 88825850 is divided by 21649? 3 Calculate the remainder when 38460200 is divided by 457. 451 What is the remainder when 388426 is divided by 478? 290 Calculate the remainder when 7111 is divided by 6819. 292 What is the remainder when 3601873 is divided by 3601686? 187 Calculate the remainder when 8559 is divided by 8550. 9 What is the remainder when 1851493 is divided by 11944? 173 Calculate the remainder when 348890 is divided by 34696. 1930 What is the remainder when 32732694 is divided by 165? 159 What is the remainder when 52931 is divided by 4909? 3841 Calculate the remainder when 398169 is divided by 27. 0 What is the remainder when 1662615 is divided by 319? 306 What is the remainder when 108476 is divided by 673? 123 Calculate the remainder when 51167928 is divided by 5914. 0 Calculate the remainder when 3333956 is divided by 168. 164 Calculate the remainder when 242828 is divided by 1103. 168 Calculate the remainder when 22492023 is divided by 397. 385 Calculate the remainder when 931869 is divided by 76. 33 What is the remainder when 364668 is divided by 517? 183 What is the remainder when 5614681 is divided by 155963? 13 What is the remainder when 113454 is divided by 779? 499 Calculate the remainder when 3701516 is divided by 1233305. 1601 What is the remainder when 4424947 is divided by 1? 0 Calculate the remainder when 551594 is divided by 4086. 4070 What is the remainder when 6515424 is divided by 94? 2 What is the remainder when 367561 is divided by 52250? 1811 Calculate the remainder when 5516443 is divided by 67. 65 Calculate the remainder when 29538456 is divided by 94. 84 What is the remainder when 295007 is divided by 219? 14 Calculate the remainder when 188326 is divided by 1224. 1054 What is the remainder when 1638935095 is divided by 180? 175 What is the remainder when 139721 is divided by 10644? 1349 Calculate the remainder when 97059099 is divided by 49. 46 Calculate the remainder when 10366812 is divided by 50. 12 What is the remainder when 427506030 is divided by 3482? 3480 Calculate the remainder when 395605059 is divided by 5. 4 What is the remainder when 2864 is divided by 700? 64 What is the remainder when 524180 is divided by 9360? 20 Calculate the remainder when 80662285 is divided by 173. 170 What is the remainder when 122368893 is divided by 2723? 2719 What is the remainder when 180313151 is divided by 55? 51 Calculate the remainder when 8628698 is divided by 105228. 2 Calculate the remainder when 385952 is divided by 192695. 562 Calculate the remainder when 365584 is divided by 46. 22 Calculate the remainder when 118543 is divided by 9857. 259 What is the remainder when 8317255 is divided by 166? 157 What is the remainder when 18933114 is divided by 1920? 1914 Calculate the remainder when 173374 is divided by 85087. 3200 What is the remainder when 258288 is divided by 1285? 3 What is the remainder when 17333317 is divided by 787878? 1 What is the remainder when 494136 is divided by 65? 6 What is the remainder when 9935172 is divided by 1183? 338 Calculate the remainder when 51064691 is divided by 644. 643 Calculate the remainder when 432340 is divided by 2113. 1288 Calculate the remainder when 123711660 is divided by 8812. 8804 What is the remainder when 642133380 is divided by 19? 13 What is the remainder when 926831 is divided by 8059? 46 Calculate the remainder when 48755 is divided by 455. 70 Calculate the remainder when 4674239 is divided by 565. 559 Calculate the remainder when 2689788 is divided by 2689773. 15 Calculate the remainder when 854951 is divided by 13358. 39 Calculate the remainder when 3341945 is divided by 1635. 5 What is the remainder when 11660879 is divided by 481? 477 Calculate the remainder when 309260782 is divided by 17. 12 Calculate the remainder when 17672 is divided by 1231. 438 What is the remainder when 155591 is divided by 16920? 3311 Calculate the remainder when 1215418 is divided by 4372. 2 Calculate the remainder when 4434429 is divided by 25932. 57 Calculate the remainder when 311813270 is divided by 152. 14 Calculate the remainder when 132661 is divided by 943. 641 What is the remainder when 26939 is divided by 3778? 493 What is the remainder when 6118221 is divided by 6867? 6591 Calculate the remainder when 115291 is divided by 115028. 263 Calculate the remainder when 11249 is divided by 282. 251 What is the remainder when 27882 is divided by 22850? 5032 Calculate the remainder when 88316 is divided by 3048. 2972 Calculate the remainder when 447599 is divided by 475. 149 What is the remainder when 1740985 is divided by 248710? 15 Calculate the remainder when 2518329 is divided by 1184. 1145 What is the remainder when 24470290 is divided by 116? 90 Calculate the remainder when 294104398 is divided by 20. 18 Calculate the remainder when 1933002 is divided by 168. 162 Calculate the remainder when 641799842 is divided by 3657. 3656 Calculate the remainder when 221421850 is divided by 23. 22 Calculate the remainder when 163250 is divided by 13. 9 What is the remainder when 429754 is divided by 23852? 418 What is the remainder when 40160882 is divided by 385? 377 What is the remainder when 59914541 is divided by 2267? 2265 Calculate the remainder when 120977062 is divided by 239. 42 What is the remainder when 2785980 is divided by 500? 480 What is the remainder when 3411857 is divided by 294? 281 What is the remainder when 27180838 is divided by 140? 118 Calculate the remainder when 82558446 is divided by 2639. 2609 Calculate the remainder when 182210354 is divided by 4857. 4856 What is the remainder when 17585 is divided by 924? 29 Calculate the remainder when 9323970 is divided by 1708. 1706 What is the remainder when 45137 is divided by 4405? 1087 What is the remainder when 106883088 is divided by 109849? 11 What is the remainder when 741554 is divided by 740808? 746 What is the remainder when 100606 is divided by 2874? 16 What is the remainder when 1384872 is divided by 517? 346 What is the remainder when 154289 is divided by 796? 661 Calculate the remainder when 294203 is divided by 7741. 45 Calculate the remainder when 153495 is divided by 30666. 165 What is the remainder when 148064 is divided by 14783? 234 What is the remainder when 893046 is divided by 2354? 880 Calculate the remainder when 1556974 is divided by 2862. 46 What is the remainder when 1659371 is divided by 3161? 3007 Calculate the remainder w
{ "pile_set_name": "DM Mathematics" }
*n = 3*r + 26. Suppose 0 = -2*j + v + 3, -2*j + 3*v = n - 5. Differentiate -2*i - 8 - 29*i**2 + 43*i**2 + j*i with respect to i. 28*i Let l be 4 + 4518/63 - (-4)/14. What is the third derivative of 181*f**2 - 4*f**3 - 263*f**2 + l*f**3 wrt f? 432 What is the first derivative of 3094 - 6016 + 4*i**3 + 4192 + 26*i wrt i? 12*i**2 + 26 Let d(p) be the third derivative of 419*p**4/12 + 758*p**3/3 + 258*p**2. Differentiate d(o) wrt o. 838 Suppose 11*n - 21*n + 20 = 0. Find the third derivative of -555495*g**4 + 555495*g**4 - 5*g**2 + 149*g**5 - 184*g**n wrt g. 8940*g**2 Find the third derivative of -740*d**2 - 561*d**2 - 39*d + 39*d - 696*d**3 wrt d. -4176 Let s(c) = 10*c. Let w be s(1). Suppose 4*t + 4 = 0, 3*z + t - 2*t - 58 = 0. What is the second derivative of -18*f**3 - w*f + 13*f + z*f wrt f? -108*f Let y = 179 - 177. Find the third derivative of -10*q**3 + 27*q**y - 2*q**4 + 0*q**3 - 2*q**4 + 2*q**4 wrt q. -48*q - 60 Let y(z) be the first derivative of -6*z**4 - z**3/3 + 1375*z - 688. Differentiate y(p) with respect to p. -72*p**2 - 2*p Let x(s) = -12*s**2 + 7*s - 1. Let y = 37 + -31. Let k(h) = -h**2 - h. Let d(b) = y*k(b) + x(b). Find the second derivative of d(c) wrt c. -36 Let f(v) = 2134*v**2 - 1923. Let t(w) = -4267*w**2 + 3841. Let u(s) = -5*f(s) - 3*t(s). What is the derivative of u(c) wrt c? 4262*c Suppose -130 = -3*f + 98. Let c = 78 - f. Find the second derivative of -6*w**c + 9*w - 5*w**2 + 18*w wrt w. -22 Let u(n) be the third derivative of -n**6/60 - 38*n**5/15 - 485*n**4/12 + 911*n**2. What is the second derivative of u(s) wrt s? -12*s - 304 Let c(s) = -2*s**2 + 12*s. Let z be c(5). Suppose -5*m + 2*w + z = -13, -2*m + 3*w = -18. Differentiate 1189*g**m - 1 - 6 - 11*g**4 - 1189*g**3 wrt g. -44*g**3 Let d(g) = 85*g**3 + g**2 - 45*g - 4601. Let y(s) = -97*s**3 - s**2 + 46*s + 4594. Let u(z) = -6*d(z) - 5*y(z). What is the derivative of u(m) wrt m? -75*m**2 - 2*m + 40 Suppose 5*m - 69 = 2*r, -m - 2*r - 24 = -3*m. What is the second derivative of 6*z - m*z + 7 + 79*z**5 + 8*z wrt z? 1580*z**3 Let a(p) be the third derivative of -p**5/12 - 59*p**4/6 - 807*p**3/2 + 1081*p**2. Differentiate a(o) with respect to o. -10*o - 236 Suppose -61*n = -59*n - 8. What is the third derivative of 16*x**3 + 0*x + 94*x**2 - 2*x**n + 7*x - 7*x wrt x? -48*x + 96 Suppose -3*v + 2*m - 3624 = -6*v, -2*v + 2416 = -3*m. What is the second derivative of -1207*c - 25 - 27*c**2 + 122*c**2 + v*c - 93 wrt c? 190 Suppose -2 = -50*a + 51*a. Let w be (a*3/(-6))/((-8)/(-24)). What is the derivative of 20 + 1915*j**w - 31*j**4 - 1915*j**3 wrt j? -124*j**3 Let o(i) be the second derivative of 23*i**4/12 + 2465*i**2 - 4552*i. Find the first derivative of o(a) wrt a. 46*a Suppose 0 = o + 3*o - 20. Let d = 14 - o. What is the derivative of 0 + 5 + d + 8*u - u wrt u? 7 Let p(m) be the first derivative of -35*m - 62*m**2 + 0 + 36 + 2 - 4 + 63. Differentiate p(y) wrt y. -124 Let r = 226 + -224. Differentiate -4168*d - r + 4168*d + 27*d**4 with respect to d. 108*d**3 Let t(m) = 8564*m**2 - 18928*m. Let l(o) = -4285*o**2 + 9464*o. Let a(y) = 13*l(y) + 6*t(y). Find the second derivative of a(k) wrt k. -8642 Let w(u) = u**3 - 11*u**2 + 10*u + 4. Let m be w(10). Find the third derivative of -16*i**2 + 55*i**2 + 212*i**6 + 33*i**4 - 33*i**m wrt i. 25440*i**3 Let y(w) be the second derivative of -747*w**6/10 - 1222*w**3/3 + 2861*w. What is the second derivative of y(q) wrt q? -26892*q**2 Suppose -8*s + 246 = 14. Find the first derivative of 10 - 13*a + 6*a + 15 - s*a**4 + 8*a wrt a. -116*a**3 + 1 Let p(n) be the second derivative of 189*n**4/2 + 475*n**2/2 - 1394*n. What is the derivative of p(v) wrt v? 2268*v Let l(m) be the third derivative of 387*m**8/112 + m**4/12 - 142*m**3/3 - 3*m**2 + 19. What is the second derivative of l(j) wrt j? 23220*j**3 Find the third derivative of -17*o**3 - 198*o**2 + 39*o**3 - 1875*o**2 - 14*o**3 + 30*o**4 - 63*o**2 wrt o. 720*o + 48 Let f(t) be the second derivative of 535*t**8/28 + 121*t**4/12 - 11*t + 1. What is the third derivative of f(c) wrt c? 128400*c**3 Let b(o) = -311*o**4 - 9*o**3 - 6*o + 1733. Let d(w) = -155*w**4 - 5*w**3 - 3*w + 866. Let u(q) = -5*b(q) + 9*d(q). What is the first derivative of u(z) wrt z? 640*z**3 + 3 Suppose -3*b = 2*k - 0*b + 7, -4*b - 20 = 0. What is the second derivative of -1268*f**3 - 13*f**k + 1267*f**3 + 170*f + 150*f**4 wrt f? 1644*f**2 - 6*f Suppose 0 = -6*r + r + 10. Suppose -r*s - h = -s - 5, -16 = -5*s - 2*h. Find the third derivative of -13*d**s + 635 - 635 + 15*d**4 wrt d. 360*d Let g(t) = -t**2 + 14*t - 7. Let p be g(13). Find the second derivative of 13*x + 71*x**4 + 5 - 5*x - p wrt x. 852*x**2 Let i(u) = u**3 - 13*u**2 + 12*u + 3. Let p be i(12). Let n be 3/(p/1 - (-9)/(-6)). What is the second derivative of 7*y - 92 + 92 + 16*y**n wrt y? 32 Let d(k) be the second derivative of 23*k**5/60 - 71*k**3/2 + 133*k**2 + 46*k. Let i(o) be the first derivative of d(o). What is the derivative of i(x) wrt x? 46*x Let j be (1 - 25/(-10))*12/21. Differentiate -3*t - 10 + 3 + 3*t**j + 45 + 12*t with respect to t. 6*t + 9 Let q = 107 - 94. What is the third derivative of q*t**3 + 1652*t**6 - 1654*t**6 - 6*t**2 - 6*t**3 wrt t? -240*t**3 + 42 Let q(p) be the first derivative of -99 + 1/4*p**4 + 32*p - 10/3*p**3 + 3/2*p**2. What is the second derivative of q(t) wrt t? 6*t - 20 What is the second derivative of 235*d**2 + 7723*d - 88*d**2 - 56*d**2 - 7*d**3 - 90*d**2 + 6*d**5 wrt d? 120*d**3 - 42*d + 2 Suppose 4*w - 311 = -5*d, -w = -5*d + 36 - 145. Differentiate 10450*c**3 - w - 260*c**4 - 10450*c**3 with respect to c. -1040*c**3 Let g(o) be the third derivative of 382*o**7/105 + 70*o**4/3 + 34*o**2 - 6*o. What is the second derivative of g(n) wrt n? 9168*n**2 Let m(y) = -y**2 - 2*y + 4. Let d be m(-6). Let z = -18 - d. Find the third derivative of w**z + 22*w**6 - 6*w**6 - 44*w**4 + 44*w**4 wrt w. 1920*w**3 Let f(k) be the first derivative of 1939*k**4/4 + 31*k**3 - 2248. Find the third derivative of f(c) wrt c. 11634 Let b = -59 - -61. Find the second derivative of 8*l**4 - l**4 + 116*l - 4*l**4 - 147*l + 3 + 19*l**b wrt l. 36*l**2 + 38 Let a be ((-18)/30)/(4/(-60)). What is the second derivative of -c - 9 + 3 + 3 + a - 51*c**4 wrt c? -612*c**2 Let j be (792/(-210)*5 + 18)/((-2)/14). Let x(v) be the first derivative of 0*v**2 - 37/4*v**4 + 0*v**3 + 10 - j*v. Differentiate x(g) with respect to g. -111*g**2 Let t(p) = 9*p - 4. Let q be t(2). Let o = 16 - q. Find the first derivative of 4*x**2 + 25 + 15*x + 7*x**o - 15*x wrt x. 22*x Let q(r) be the second derivative of -17*r**6/30 - 3*r**5/20 + 19*r**4/12 + 1146*r**3 + 2*r + 1449. What is the second derivative of q(c) wrt c? -204*c**2 - 18*c + 38 Suppose 607*a - 602*a = 20. Let h(q) be the second derivative of -17/12*q**a + 0*q**3 - 5*q - 7*q**2 + 0. Differentiate h(b) with respect to b. -34*b Find the first derivative of -67392*j + 6*j**2 + 6114 + 8*j**3 + 8023 + 67406*j wrt j. 24*j**2 + 12*j + 14 Let q(w) be the second derivative of 25*w**7/14 + w**6/6 - 289*w**4/2 + 168*w - 2. Find the third derivative of q(b) wrt b. 4500*b**2 + 120*b Find the third derivative of -3340*g**2 - 2 + 3969*g**2 + 0 - 750*g**4 + 2 wrt g. -18000*g Let b(t) be the third derivative of 55*t**8/168 + t**7/42 - 337*t**5/60 + 122*t**2 + 3. Find the third derivative of b(j) wrt j. 6600*j**2 + 120*j Let f(i) be the first derivative of 1069*i**4/4 + 760*i**3/3 - 476. Find the third derivative of f(d) wrt d. 6414 Differentiate 443 - 720 - 464*s - 1139 with respect to s. -464 Let l(c) be the second derivative of -c**3/3 + 18*c**2 - 17*c. Let s be l(16). Differentiate -3*m**2 + 4 - s*m**2 - 2 - 7*m**2 with respect to m. -28*m Let o be 32/(-48) + (-16)/3. Let x(q) = -4*q - 11. Let k be x(o). What is the second derivative of -13*t**3 + 6*t - 9*t + 9*t + k*t wrt t? -78*t Let f(y) be the second derivative of 3769*y**4/12 + y**3/6 - 4905*y**2/2 + 4197*y. What is the first derivative of f(u) wrt u? 7538*u + 1 Find the second derivative of 22*s**3 + 151*s**3 - 27*s + 2*s**4 - 8*s**4 + 14*s + 51 wrt s. -72*s**2 + 1038*s Let q(b) be the second derivative of -b**6/15 - 3*b**5/20 - 11*b**4/2 - 7*b**3/3 - 25*b**2/2 - 12*b + 485. What is the second derivative of q(m) wrt m? -24*m**2 - 18*m - 132 Find the sec
{ "pile_set_name": "DM Mathematics" }
1}. Give prob of picking 3 u. 1/165 Calculate prob of picking 2 j and 1 v when three letters picked without replacement from {v: 1, j: 2, r: 1}. 1/4 Three letters picked without replacement from iiiaikk. Give prob of picking 2 i and 1 a. 6/35 Calculate prob of picking 2 m, 1 o, and 1 x when four letters picked without replacement from tmaamtoaxm. 1/70 What is prob of picking 1 n and 1 e when two letters picked without replacement from qzqeaeqqqqrenqqqzq? 1/51 Two letters picked without replacement from omoqa. What is prob of picking 1 o and 1 a? 1/5 Three letters picked without replacement from kkcvnvckceckcn. Give prob of picking 2 k and 1 c. 15/182 Four letters picked without replacement from {r: 5, x: 1, f: 6, q: 3}. What is prob of picking 1 f, 1 r, and 2 q? 6/91 Four letters picked without replacement from {v: 3, q: 3}. What is prob of picking 2 q and 2 v? 3/5 Two letters picked without replacement from {c: 4, m: 5, l: 1}. What is prob of picking 1 c and 1 m? 4/9 What is prob of picking 3 u and 1 b when four letters picked without replacement from {u: 5, b: 5}? 5/21 Four letters picked without replacement from {d: 9, f: 10}. What is prob of picking 2 d and 2 f? 135/323 Calculate prob of picking 1 p and 2 x when three letters picked without replacement from apppxxpxapxpp. 21/143 Two letters picked without replacement from {t: 3, l: 8, g: 2, s: 2}. Give prob of picking 1 l and 1 g. 16/105 What is prob of picking 3 r when three letters picked without replacement from {w: 5, r: 5}? 1/12 Three letters picked without replacement from wwvuv. Give prob of picking 2 v and 1 u. 1/10 Three letters picked without replacement from trhr. What is prob of picking 2 r and 1 h? 1/4 Calculate prob of picking 1 s and 2 p when three letters picked without replacement from grprprrrsrsrsccsp. 3/170 Four letters picked without replacement from {z: 1, g: 14, l: 5}. What is prob of picking 1 g, 2 l, and 1 z? 28/969 Calculate prob of picking 1 b and 1 r when two letters picked without replacement from rbrrrrrrrb. 16/45 Three letters picked without replacement from {t: 2, o: 1, q: 5, g: 1, y: 3, i: 8}. Give prob of picking 3 q. 1/114 Two letters picked without replacement from {x: 2, r: 5, a: 5}. Give prob of picking 1 r and 1 a. 25/66 Two letters picked without replacement from {r: 2, p: 4, e: 5}. Give prob of picking 1 r and 1 p. 8/55 What is prob of picking 2 n when two letters picked without replacement from vnn? 1/3 What is prob of picking 1 y and 1 k when two letters picked without replacement from kmmnngggsnmkkggymsnn? 3/190 What is prob of picking 2 r and 2 g when four letters picked without replacement from grkgggrr? 9/35 Three letters picked without replacement from lgwgqggglqg. Give prob of picking 1 w, 1 l, and 1 q. 4/165 Two letters picked without replacement from {z: 2, t: 11, b: 1, v: 1, w: 1}. What is prob of picking 1 v and 1 b? 1/120 Calculate prob of picking 2 o when two letters picked without replacement from {t: 1, n: 2, o: 2}. 1/10 What is prob of picking 1 o and 1 n when two letters picked without replacement from {l: 3, d: 6, o: 1, x: 1, n: 2}? 1/39 Three letters picked without replacement from {k: 1, m: 1, p: 2, y: 1, r: 1, q: 1}. Give prob of picking 1 k, 1 y, and 1 r. 1/35 Two letters picked without replacement from {b: 2, g: 3}. What is prob of picking 1 g and 1 b? 3/5 Two letters picked without replacement from ooorr. What is prob of picking 2 o? 3/10 Two letters picked without replacement from {e: 5, l: 4, g: 1}. What is prob of picking 1 g and 1 e? 1/9 Calculate prob of picking 1 m and 1 w when two letters picked without replacement from {s: 2, w: 1, d: 2, m: 1, g: 1}. 1/21 What is prob of picking 1 r and 3 p when four letters picked without replacement from {r: 3, p: 13}? 33/70 Two letters picked without replacement from dvddddddddvdvddddd. What is prob of picking 2 d? 35/51 Calculate prob of picking 3 w when three letters picked without replacement from {h: 1, d: 2, o: 3, v: 5, w: 8}. 56/969 Calculate prob of picking 1 q and 3 z when four letters picked without replacement from {y: 1, q: 1, r: 1, v: 1, z: 1}. 0 Calculate prob of picking 2 y when two letters picked without replacement from {y: 4, z: 4, j: 2}. 2/15 Four letters picked without replacement from dddzzrfrfzddzrtdzd. Give prob of picking 4 z. 1/612 Calculate prob of picking 1 o and 2 t when three letters picked without replacement from jljoltltlljlltljtlo. 4/323 What is prob of picking 1 k, 1 u, and 1 b when three letters picked without replacement from {a: 1, g: 2, b: 2, u: 1, z: 1, k: 2}? 1/21 What is prob of picking 2 z and 2 l when four letters picked without replacement from {o: 5, q: 4, z: 2, l: 8}? 7/969 Two letters picked without replacement from zynrzvnvraaannz. What is prob of picking 1 z and 1 a? 3/35 What is prob of picking 3 e when three letters picked without replacement from eeeeeereoeoeeeereere? 91/228 Two letters picked without replacement from kkkkakkakwkkkk. What is prob of picking 1 k and 1 w? 11/91 Calculate prob of picking 1 o and 2 a when three letters picked without replacement from {a: 3, x: 2, f: 3, o: 1, z: 4, b: 2}. 3/455 What is prob of picking 4 t when four letters picked without replacement from {q: 2, m: 1, w: 1, t: 12, f: 1}? 99/476 Four letters picked without replacement from kkkkikskpkiidzpii. What is prob of picking 1 p, 2 i, and 1 s? 1/119 Four letters picked without replacement from nnnnvtnkntk. What is prob of picking 3 n and 1 k? 4/33 What is prob of picking 1 m and 1 i when two letters picked without replacement from {i: 1, m: 3, s: 5, b: 4}? 1/26 What is prob of picking 2 c and 2 z when four letters picked without replacement from {c: 3, z: 4, y: 4, j: 5}? 9/910 Calculate prob of picking 2 e and 1 j when three letters picked without replacement from {j: 1, e: 4, l: 2, t: 3, p: 1, r: 1}. 3/110 Two letters picked without replacement from {u: 1, b: 1, h: 7}. Give prob of picking 1 u and 1 h. 7/36 What is prob of picking 2 b and 1 m when three letters picked without replacement from mbflb? 1/10 Calculate prob of picking 3 d when three letters picked without replacement from ddffdddddddddddf. 143/280 Three letters picked without replacement from mzhczmz. Give prob of picking 1 m, 1 c, and 1 h. 2/35 Four letters picked without replacement from {a: 4, j: 5, v: 3}. Give prob of picking 3 j and 1 v. 2/33 Four letters picked without replacement from {x: 3, n: 5, c: 5}. Give prob of picking 1 x and 3 c. 6/143 What is prob of picking 1 d and 1 n when two letters picked without replacement from nggngndgnng? 1/11 What is prob of picking 1 g and 1 e when two letters picked without replacement from {e: 6, g: 2}? 3/7 Calculate prob of picking 1 y and 2 c when three letters picked without replacement from {y: 2, c: 9}. 24/55 Two letters picked without replacement from {c: 2, e: 4, w: 4, j: 2}. Give prob of picking 1 e and 1 j. 4/33 Three letters picked without replacement from {c: 3, s: 1}. What is prob of picking 3 c? 1/4 Calculate prob of picking 2 w when two letters picked without replacement from {w: 4, n: 2, y: 3, j: 5, z: 5, r: 1}. 3/95 What is prob of picking 1 w and 3 a when four letters picked without replacement from {w: 6, a: 4}? 4/35 Four letters picked without replacement from {d: 7, q: 9, u: 1, y: 1}. What is prob of picking 1 u, 1 y, and 2 d? 7/1020 Four letters picked without replacement from dtdttddddtdddd. Give prob of picking 4 d. 30/143 Four letters picked without replacement from {u: 1, y: 4, j: 3, i: 1, e: 1, w: 2}. What is prob of picking 3 y and 1 j? 4/165 Calculate prob of picking 1 h, 2 l, and 1 f when four letters picked without replacement from {l: 2, f: 2, h: 1}. 2/5 What is prob of picking 3 m when three letters picked without replacement from {m: 3, z: 4}? 1/35 Calculate prob of picking 2 o and 2 k when four letters picked without replacement from ookoonkkkxlnokk. 10/91 Three letters picked without replacement from {x: 3, q: 7, c: 8}. What is prob of picking 2 x and 1 q? 7/272 Two letters picked without replacement from {h: 3, e: 2, u: 3, w: 5}. Give prob of picking 2 u. 1/26 Calculate prob of picking 2 y when two letters picked without replacement from wyybmtywbwym. 1/11 Three letters picked without replacement fr
{ "pile_set_name": "DM Mathematics" }
r of c and g? 7 Suppose -11 = 5*n - 41. Calculate the highest common factor of 30 and n. 6 Suppose 0 = 9*y - 11*y + 16. What is the highest common divisor of 40 and y? 8 Suppose 0 = 3*i - 153 + 36. What is the greatest common divisor of i and 156? 39 Let v(s) = 2*s + 7. Let q be v(0). Let z = q - -4. What is the highest common divisor of z and 77? 11 Let i(t) = 9*t**2. Suppose 3*n - 3 = 3. Suppose -n - 1 = -3*y. Let f be i(y). Calculate the greatest common factor of f and 18. 9 Let d = 15 - 4. Suppose -2*g - 7*p = -3*p - 54, g - p - 36 = 0. Calculate the greatest common factor of d and g. 11 Let n = 24 - 21. Suppose n*s - 50 = -2*s. Let o = -15 + 85. Calculate the highest common factor of s and o. 10 Suppose 2*r + 2*r - 12 = -5*n, -6 = -n + r. Let d be (1 - n)*-1*13. What is the greatest common divisor of 26 and d? 13 Suppose 0 = 2*r + c - 9, 3*r + 4*c = -c + 17. Let k(z) = -22*z - 100. Let j be k(-6). What is the highest common factor of r and j? 4 Let a(k) = -k**3 + 5*k**2 + 7*k. Let u be a(6). Let g be (-2 + 11)*28/u. What is the greatest common factor of g and 6? 6 Let o be (120/14)/6*7. What is the greatest common factor of 110 and o? 10 Suppose 0 = 6*z - 730 - 596. What is the greatest common divisor of 13 and z? 13 Suppose -2*c = 2*c. Suppose 5*i - 33 - 27 = c. Calculate the highest common divisor of i and 48. 12 Let s be 5/2 + 2/(-4). Suppose -a = -s*a + 9. Let u = 4 - 3. Calculate the greatest common divisor of a and u. 1 Suppose 6*w - 735 = -w. Suppose -1 = -p - 2. Let x = 20 - p. What is the highest common divisor of x and w? 21 Let n be 2/(-6) + (-67)/(-3). Suppose -93 = -4*k + z, -4 = 5*k + 3*z - 99. What is the greatest common divisor of k and n? 22 Suppose 13*h = 8*h + 260. What is the greatest common factor of h and 26? 26 Let x be 6/8 + 270/24. Suppose 0 = -s + 20 - x. Calculate the greatest common factor of 72 and s. 8 Let w = 0 + 9. Calculate the highest common factor of w and 63. 9 Suppose 0 = -4*f + 2*r + 138, -3*f + f = -3*r - 71. Calculate the greatest common divisor of 306 and f. 34 Let u = -13 - -20. Suppose 0 = 2*l - 21 - 7. Suppose -l = 6*a - 7*a. What is the greatest common divisor of a and u? 7 Let m(f) = f**2 + f - 2. Let x be m(-3). Suppose 0 = -r - 4*u - u - 8, -22 = -x*r - 2*u. Calculate the greatest common divisor of r and 7. 7 Let f = 41 + 1. Suppose 3*v = 5*z + f, 0 = 2*v + z - 3*z - 24. Let o be (-3)/((-6)/2)*54. Calculate the highest common factor of o and v. 9 Let s = -21 + 41. Calculate the greatest common divisor of 30 and s. 10 Suppose 275 = 4*w + 71. Suppose 6*m - 273 = w. Let p(f) = -f**3 + 4*f**2 + 3*f - 6. Let u be p(4). Calculate the greatest common divisor of m and u. 6 Let v be (-6 - -13)*(-44)/(-14). Calculate the highest common factor of 176 and v. 22 Suppose -180 = -2*y - 3*y - 4*h, 2*y + 2*h - 74 = 0. Let t = y + -17. Calculate the highest common divisor of 165 and t. 15 Let f be 2/8 + (-3663)/(-36). Let s = 256 - f. What is the highest common factor of 22 and s? 22 Let n(l) = 5*l - 13. Let b be n(6). Suppose -237 - 396 = -3*s - 3*u, 2*s = 2*u + 422. Suppose 3*v - s = -7. What is the greatest common factor of v and b? 17 Suppose -5*h + 7 = -83. Let g = -6 + h. What is the greatest common factor of g and 96? 12 Suppose 0 = -2*u + 4*h + 4, 2*u + h = 4*h + 2. Let p be ((-3)/u)/1*42. Calculate the greatest common factor of 9 and p. 9 Suppose 2*r - 1 = -13. Let a be (-4)/r - (-21)/9. Calculate the greatest common factor of 24 and a. 3 Suppose -4*l + 64 = 2*x, 5*x - 2*l - 124 = -0*l. Suppose -x = -5*f + 4*f. Let s be (-4)/f + 54/13. What is the greatest common divisor of s and 8? 4 Suppose -2*b = 2*b - 364. What is the highest common divisor of 13 and b? 13 Suppose -389 = 13*c - 16*c - 4*n, -3*c - 3*n + 384 = 0. What is the highest common divisor of c and 41? 41 Suppose h + 3 = 0, -o - 2*o - 2*h + 264 = 0. Calculate the greatest common factor of 60 and o. 30 Let t = -17 - -12. Let p = 11 + t. Let v(a) = 6*a. Let x be v(5). Calculate the greatest common divisor of p and x. 6 Let l(i) = 2*i + 3. Let w be l(7). Suppose 6*g - 5*g - w = 0. What is the greatest common divisor of g and 136? 17 Let f be 111/18 + (-3)/(-36)*-2. Let k be (4/(-3))/(4/(-18)). What is the highest common factor of f and k? 6 Suppose x = 3*l + 33, -3*x - 17*l = -12*l - 155. What is the highest common divisor of 9 and x? 9 Let o be (-2 - -6)/((-1)/(-2)). What is the highest common divisor of 56 and o? 8 Let b be ((-30)/(-25))/(2/(-30)). Let h be 36/(-27)*b*1. What is the highest common factor of 216 and h? 24 Let v = 8 + 16. Calculate the greatest common factor of v and 3. 3 Let n = 63 + -60. Suppose 2*g - 12 = -2*t, -3 = g - t - 1. What is the greatest common factor of n and g? 1 Let q = -6 - -22. Calculate the greatest common divisor of q and 24. 8 Let d be (-45)/(-6)*(-32)/(-5). Suppose d + 22 = 2*z. What is the highest common divisor of z and 5? 5 Suppose -y + 0*y - 4*f = -16, 5*y + 5*f = 35. What is the highest common divisor of 12 and y? 4 Suppose 0 = -2*u - 2*z + 144, -3*u + 216 = -z - 3*z. What is the highest common factor of 8 and u? 8 Let d(x) = x**2 - 6*x + 20. Let z be d(11). Let v be -2 - -2 - 60/(-2). Calculate the highest common factor of z and v. 15 Let d(k) = k + 2. Let m be d(-7). Let z be 4/8*-2*m. What is the highest common divisor of 15 and z? 5 Let q be 4/(-6)*-15*5. Let h = 60 + -40. What is the greatest common divisor of h and q? 10 Suppose 4*i - 3*s - 1 = 0, -i - s + 13 = i. Calculate the greatest common factor of i and 16. 4 Let d be 10*(-3)/(-18)*3. Let l be 6/(-4)*12/(-18). Calculate the greatest common divisor of l and d. 1 Let r(x) = -104*x + 1. Let p be r(-1). Let v(c) = 6*c + 3. Let a be v(2). What is the greatest common factor of a and p? 15 Let u be (-2)/6*-11*3. Let g = 5 - u. Let c be (g + 0)/((-6)/8). What is the greatest common factor of c and 1? 1 Suppose 0*x + 5*x - 90 = 0. What is the highest common factor of x and 9? 9 Let q(v) = -v**2 - 8*v + 2. Let f be q(-8). Suppose -r = -2*r + 4. Suppose -n - 24 = -a, -r*n + 24 = -0*a + f*a. What is the highest common divisor of a and 50? 10 Suppose 0 = 5*p - 2*p - 30. Let s be (4 - 632/(-40)) + 1/5. What is the greatest common divisor of s and p? 10 Let v(g) = g**3 - 10*g**2 + 10*g - 1. Let z be v(9). Suppose -b = 26 - 66. What is the greatest common factor of b and z? 8 Suppose 7*a - 525 - 861 = 0. Suppose -3*c = 2*c - 90. Calculate the greatest common factor of c and a. 18 Let m be ((-45)/(-10) - 4)*50. What is the greatest common factor of 25 and m? 25 Let f = 278 - 124. What is the greatest common factor of f and 14? 14 Let u = -56 + 104. Let m = u - 28. Let r = m - 6. What is the highest common divisor of r and 2? 2 Let d = 203 + -107. Let n(f) = f**3 + 8*f**2 + 5*f - 2. Let z = -9 - -2. Let g be n(z). Calculate the highest common factor of d and g. 12 Let f(w) = -w**2 + 8*w + 4. Let i be f(8). What is the greatest common factor of i and 8? 4 Let z = 4 + -4. Suppose z*o = -5*o + 5. What is the greatest common factor of 9 and o? 1 Let l = -17 + 33. What is the greatest common factor of l and 16? 16 Let i = -19 + 19. Let r(a) = -3*a**2 + 2*a**2 + 11 + 0*a**2 + a**3 - a. Let w be r(i). What is the greatest common divisor of w and 121? 11 Let a = 32 + 16. Let h be 5*(-1 - (-34)/10). Calculate the greatest common divisor of h and a. 12 Let c = -7 - -4. Let m(t) = 6*t + 1. Let p be m(6). Let h = p + c. Calculate the greatest common divisor of 51 and h. 17 Suppose 56 + 88 = 6*a. What is the greatest common factor of 6 and a? 6 Suppose 0 = -3*l + 238 + 227. Calculate the greatest common divisor of 31 and l. 31 Suppose -19 = -m - 0*m. What is the highest common factor of m and 133? 19 Suppose 14 = -5*t + 84. What is the greatest common factor of 6 and t? 2 Let o(x) = 4*x**2 - 16*x + 17. Let h be o(1). Let r be (8/6 + -2)*-3. Suppose 2*w - 40 = -r*w. Calculate the greatest common divisor of h and w. 5 Suppose 2*w + w = 36. Suppose 4*z - 56 = -w. Let x(b) = 2*b - 9. Let r be x(z). What is the highest common factor of r and 13? 13 Suppose -w + 65 = -5*a - 4*w, -2*w = 10. Let q be a/(-2) + -1*3. Suppose 0 = -o + 2*m + 59, q*m - 72 - 64 = -2*o. What is the highest common factor of 26 and o? 13 Suppose 8*a - 215 = 65. What is the highest common divisor o
{ "pile_set_name": "DM Mathematics" }
ascending order. 0, 2, 10 Sort 2, -5, -1, -4 in decreasing order. 2, -1, -4, -5 Sort -8, -2, 2, -1 in decreasing order. 2, -1, -2, -8 Sort 0, -4, -3/8, 3 in ascending order. -4, -3/8, 0, 3 Sort 0.06, 2/25, 1 in decreasing order. 1, 2/25, 0.06 Sort -1/2, -4, 3, 0.1, -6/11. -4, -6/11, -1/2, 0.1, 3 Put 3, -3, 1773 in descending order. 1773, 3, -3 Sort -9, -0.6, 1/10. -9, -0.6, 1/10 Sort -1, -6, 4, 279 in ascending order. -6, -1, 4, 279 Put 0.4, 0, -5, -3.9 in increasing order. -5, -3.9, 0, 0.4 Put -2693, 1, 0 in descending order. 1, 0, -2693 Sort 0, 1/6, 30, 1/3 in descending order. 30, 1/3, 1/6, 0 Put 0, -7, -4, 7 in increasing order. -7, -4, 0, 7 Put -1, 1/5, 2 in ascending order. -1, 1/5, 2 Sort 2/109, -4, 10, -2 in ascending order. -4, -2, 2/109, 10 Put -0.1, -5, 2, 2/43 in descending order. 2, 2/43, -0.1, -5 Put 4, -3, -5, -24 in descending order. 4, -3, -5, -24 Put 1/36, -5, 3 in decreasing order. 3, 1/36, -5 Put -4, 4, 60 in decreasing order. 60, 4, -4 Put 5, 1, 4 in decreasing order. 5, 4, 1 Sort 16, -1.8, -5, -3/5, -0.3 in increasing order. -5, -1.8, -3/5, -0.3, 16 Sort 3, 4, -20 in descending order. 4, 3, -20 Sort -2/3, -2.8, -4, 0.2, 5 in decreasing order. 5, 0.2, -2/3, -2.8, -4 Sort -3, -10, -4, -23 in increasing order. -23, -10, -4, -3 Put 43, 0, -4, -1 in descending order. 43, 0, -1, -4 Sort 5, 3, -3, 4 in decreasing order. 5, 4, 3, -3 Sort -5, -0.33, -0.2 in increasing order. -5, -0.33, -0.2 Sort -1/15, -0.2, 3/5. -0.2, -1/15, 3/5 Put -0.2, 1, -1, 5 in ascending order. -1, -0.2, 1, 5 Put -5, -4, 4, 3/7 in descending order. 4, 3/7, -4, -5 Put -29, -0.2, 3, 3/14 in decreasing order. 3, 3/14, -0.2, -29 Sort 0.3, 20, 0.08, -5 in decreasing order. 20, 0.3, 0.08, -5 Put -2, 14, -4, 0 in descending order. 14, 0, -2, -4 Sort -4, 1, 0.3, -0.21, -5 in descending order. 1, 0.3, -0.21, -4, -5 Sort -172, 5, 2/9 in increasing order. -172, 2/9, 5 Put -50, -0.4, 1/3 in ascending order. -50, -0.4, 1/3 Sort -0.08, 2, 1/8 in descending order. 2, 1/8, -0.08 Sort 4, 0, -1, 55 in increasing order. -1, 0, 4, 55 Put 18, 4/5, -12, 2/3 in ascending order. -12, 2/3, 4/5, 18 Sort 11, -61, 6, 3 in decreasing order. 11, 6, 3, -61 Sort 2/15, -0.3, 0.3 in increasing order. -0.3, 2/15, 0.3 Sort 3, 8, -4 in decreasing order. 8, 3, -4 Sort 16, -4, 10 in decreasing order. 16, 10, -4 Sort 8, -5, 28, 0, 1. -5, 0, 1, 8, 28 Sort 10, 3, -2, -7 in decreasing order. 10, 3, -2, -7 Put 0.047, 9, -0.05 in descending order. 9, 0.047, -0.05 Put 0.02, -2/17, -3, 0.14 in increasing order. -3, -2/17, 0.02, 0.14 Put 1, -1, 23, 2 in ascending order. -1, 1, 2, 23 Put -4, 13, -2, 6 in increasing order. -4, -2, 6, 13 Put 3/14, 4/7, 0.1 in descending order. 4/7, 3/14, 0.1 Put 4, 2, -34, -0.08 in descending order. 4, 2, -0.08, -34 Put -5, -4, 0, 9 in decreasing order. 9, 0, -4, -5 Sort 4, -0.8, 0, 0.5 in increasing order. -0.8, 0, 0.5, 4 Sort 4, -6/7, 27, -4 in descending order. 27, 4, -6/7, -4 Sort -2, 2/11, -9 in decreasing order. 2/11, -2, -9 Sort 2/19, 57, -0.1 in increasing order. -0.1, 2/19, 57 Sort -2, 92, 1, -3 in descending order. 92, 1, -2, -3 Put 34, 1, -9 in decreasing order. 34, 1, -9 Sort -3, 0, -1, 7, 4 in increasing order. -3, -1, 0, 4, 7 Put 3, 4, 2416 in descending order. 2416, 4, 3 Put 8, 3, 5, 0 in descending order. 8, 5, 3, 0 Sort 2/5, 0.5, 74, 1 in ascending order. 2/5, 0.5, 1, 74 Put -12, 0.5, -0.6, 5 in ascending order. -12, -0.6, 0.5, 5 Put -4, -5, 23, 1 in ascending order. -5, -4, 1, 23 Sort -1/25, 14, 0 in decreasing order. 14, 0, -1/25 Put 1, 2, 4, -4, 0 in descending order. 4, 2, 1, 0, -4 Sort 1, -2, 2, 4 in ascending order. -2, 1, 2, 4 Sort -108, -5, -2, -3 in descending order. -2, -3, -5, -108 Put 3, 1.7, 13 in decreasing order. 13, 3, 1.7 Sort -5, 157, -2 in descending order. 157, -2, -5 Sort 0.2, -10, 4, 3, 0.3. -10, 0.2, 0.3, 3, 4 Sort 1/5, -0.05, 0.3, -5 in descending order. 0.3, 1/5, -0.05, -5 Sort 0, -1/10, -2/7, -1/5. -2/7, -1/5, -1/10, 0 Sort -0.2, 2/13, -1/6, 2/3, -6/7 in ascending order. -6/7, -0.2, -1/6, 2/13, 2/3 Put -0.2, 44.3, -0.3 in decreasing order. 44.3, -0.2, -0.3 Sort -0.2, 1/3, -69, -0.3, -2/3. -69, -2/3, -0.3, -0.2, 1/3 Put 0.4, -0.0337, 0.3, 3 in decreasing order. 3, 0.4, 0.3, -0.0337 Put 0, 1265, -2/5, -0.2 in descending order. 1265, 0, -0.2, -2/5 Sort -0.5, -4, 5/4, 0.3 in increasing order. -4, -0.5, 0.3, 5/4 Put 3, -2, 4, 25 in descending order. 25, 4, 3, -2 Sort -63, -3, -2 in decreasing order. -2, -3, -63 Sort 10, 0.9, 1/2 in descending order. 10, 0.9, 1/2 Sort 3, 33, -114 in descending order. 33, 3, -114 Sort -5, 1, -21, 7 in descending order. 7, 1, -5, -21 Put 1, 530, 3, 5, 2 in decreasing order. 530, 5, 3, 2, 1 Sort 2, -93, -2/3 in increasing order. -93, -2/3, 2 Sort -120, -4, -3, 1/2 in increasing order. -120, -4, -3, 1/2 Sort -2, 5, 3. -2, 3, 5 Put -1/3, 3/13, -2, 0.06, 0.1 in decreasing order. 3/13, 0.1, 0.06, -1/3, -2 Sort 3, 0.4, -72, 2/9 in increasing order. -72, 2/9, 0.4, 3 Sort 2, -5, -2, 0 in ascending order. -5, -2, 0, 2 Put 0.01, -21, -2/11 in increasing order. -21, -2/11, 0.01 Sort -4, 5, -11, -17. -17, -11, -4, 5 Sort 3.1, 10, -6 in ascending order. -6, 3.1, 10 Sort -2, 8, -4. -4, -2, 8 Sort -0.5, -0.2, 0.6, 2/25, -3. -3, -0.5, -0.2, 2/25, 0.6 Sort 31, -1, 0, -0.5, -0.2 in ascending order. -1, -0.5, -0.2, 0, 31 Sort 1, 5, -2/9, -16.8 in ascending order. -16.8, -2/9, 1, 5 Put 3, -5, -2476 in descending order. 3, -5, -2476 Sort -0.4, 4, 0.11, 5 in decreasing order. 5, 4, 0.11, -0.4 Sort 101, 4, 2, -4 in decreasing order. 101, 4, 2, -4 Put 1, -1, -26, -2 in decreasing order. 1, -1, -2, -26 Sort 2/3, 71, -0.4, 4 in increasing order. -0.4, 2/3, 4, 71 Put 3, -0.1, 10/27 in ascending order. -0.1, 10/27, 3 Put -2/7, -5, -10, 5 in descending order. 5, -2/7, -5, -10 Put 103, -4, 8, 2, -2 in decreasing order. 103, 8, 2, -2, -4 Put 0.032, -40, -2/15 in descending order. 0.032, -2/15, -40 Put -1, -8, 101, -2, 1 in descending order. 101, 1, -1, -2, -8 Put -0.1059, -0.2, 0.5, 0 in decreasing order. 0.5, 0, -0.1059, -0.2 Sort -4, 0.5, 0.2, -32, -1.1 in decreasing order. 0.5, 0.2, -1.1, -4, -32 Sort -0.1, -306.3, -2, 0 in ascending order. -306.3, -2, -0.1, 0 Put 259, -2, 0, 2 in decreasing order. 259, 2, 0, -2 Put 101, -2, 3 in ascending order. -2, 3, 101 Put -1/8, 0.04, 7/3 in increasing order. -1/8, 0.04, 7/3 Sort -2/3, -3, -0.77. -3, -0.77, -2/3 Sort 1/3, -0.32, 2, -31 in increasing order. -31, -0.32, 1/3, 2 Put 32, 49, 0 in descending order. 49, 32, 0 Sort -3, 10, -4, 5, -5 in ascending order. -5, -4, -3, 5, 10 Put -2/17, 4, -751 in descending order. 4, -2/17, -751 Sort -2, 3, -3, -9. -9, -3, -2, 3 Sort -0.08, -5, 41/5. -5, -0.08, 41/5 Put 4, 5, -7, -4 in descending order. 5, 4, -4, -7 Sort 4, -22, 1, -0.5, -5 in decreasing order. 4, 1, -0.5, -5, -22 Sort 1, -46, 0, 5, -2. -46, -2, 0, 1, 5 Put 2, -214, 1/2 in decreasing order. 2, 1/2, -214 Sort -2237, 3, 2/5. -2237, 2/5, 3 Put -80, -3, 9, 2 in decreasing order. 9, 2, -3, -80 Sort 44, 4, 3 in increasing order. 3, 4, 44 Sort -0.4, 4, -7, -2/13, -14. -14, -7, -0.4, -2/13, 4 Put 3, 0.2, -28, -3/5 in increasing order. -28, -3/5, 0.2, 3 Sort -4, -3, -0.2 in ascending order. -4, -3, -0.2 Put -0.1, 0.06, -12 in increasing order. -12, -0.1, 0.06 Sort -3, 6, 1, -1/2 in increasing order. -3, -1/2, 1, 6 Sort 3, -7/2, 4/5, 4 in descending order. 4, 3, 4/5, -7/2 Sort -3, 0, 8, 2 in ascending order. -3, 0, 2, 8 Put 0.4, -3/5, 2/9, -4, 35 in decreasing order. 35, 0.4, 2/9, -3/5, -4 Put 3/4, 5, -1/2, 1/7 in decreasing order. 5, 3/4, 1/7, -1/2 Put 1/3, -1, -4, -3/5 in descending order. 1/3, -3/5, -1, -4 Put -1, 13008, -4 in descending order. 13008, -1, -4 Put -6, -0.6, -1/10, -5, 5 in decreasing order. 5, -1/10, -0.6, -5, -6 Sort -5, -1, 1/6. -5, -1, 1/6 Sort 224, -5, 6 in descending order. 224, 6, -5 Put -5, 0.1, -12, -2/3 in descending order. 0.1, -2/3, -5, -12 Put -98, 0.15, 2 in decreasing order. 2, 0.15, -98 Put 62, 4, -6, 5 in descending order. 62, 5, 4, -6 Sort -1, -5, 217, 1 in ascending order. -5, -1, 1, 217 Sort 1, -5, -2, -4, -19 in decreasing order. 1, -2, -4, -5, -19 Put 1, -3, -18, -5 in descending order. 1, -3, -5, -18 Sort 20, 3, -53. -53, 3, 20 Sort 1059, -5, -3, -4. -5, -4, -3, 1059 Put -1, 1.7, 0.5, -3/11 in increasing order. -1, -3/11, 0.5, 1.7 Sort 1, 4, 5, 73. 1, 4, 5
{ "pile_set_name": "DM Mathematics" }
89, -692? -695 What is the next term in -91, -182, -275, -370, -467, -566, -667? -770 What is the next term in -1708, -3416, -5122, -6826, -8528, -10228, -11926? -13622 What comes next: -29, -45, -71, -107, -153, -209? -275 What is the next term in -1218, -1217, -1216, -1215, -1214? -1213 What is the next term in -2825, -2824, -2821, -2816? -2809 What is the next term in 37, 213, 683, 1591, 3081? 5297 What is next in -9, -21, -31, -33, -21, 11, 69, 159? 287 What is next in 720, 716, 710, 702, 692, 680? 666 What is next in -2296, -2303, -2310, -2317, -2324, -2331? -2338 What comes next: -46, -186, -420, -748, -1170? -1686 What is next in 93, 193, 293, 393, 493? 593 What is next in -598, -2415, -5448, -9697, -15162, -21843, -29740? -38853 What is the next term in 105, 160, 213, 264? 313 What is the next term in 29, 183, 459, 851, 1353? 1959 What is the next term in -105, -368, -807, -1422, -2213, -3180? -4323 What is next in 576, 604, 666, 774, 940, 1176, 1494? 1906 What is next in -2333, -4667, -6999, -9329, -11657, -13983? -16307 What is the next term in 87, 197, 309, 423, 539, 657, 777? 899 What comes next: 1453, 2911, 4369, 5827, 7285? 8743 What comes next: 159, 108, 23, -96, -249, -436? -657 What is the next term in 145, 246, 347, 448, 549? 650 What comes next: 52, 159, 338, 589, 912? 1307 What is the next term in -33, -113, -233, -381, -545, -713, -873, -1013? -1121 What is the next term in 18, 40, 66, 96? 130 What is the next term in 135, 310, 493, 690, 907? 1150 What is next in -701, -699, -697? -695 What is the next term in 315, 663, 1011, 1359? 1707 What comes next: 490, 487, 482, 475, 466, 455? 442 What comes next: 43, 74, 95, 100, 83, 38? -41 What is the next term in 10, 11, -2, -35, -94? -185 What is the next term in -318, -292, -266, -240, -214? -188 What is next in 2624, 2615, 2594, 2555, 2492, 2399, 2270? 2099 What comes next: 42, 86, 130, 174? 218 What comes next: 70, -34, -214, -476, -826, -1270? -1814 What is next in 424, 455, 486, 517, 548, 579? 610 What is next in -52, -103, -154? -205 What is the next term in 407, 408, 409? 410 What comes next: -27707, -55412, -83117, -110822, -138527, -166232? -193937 What is the next term in 23, 184, 623, 1478, 2887? 4988 What is next in 29, 102, 219, 374, 561? 774 What is the next term in 44, 109, 230, 413, 664, 989? 1394 What is the next term in -36, 10, 126, 348, 712, 1254, 2010? 3016 What is the next term in 467, 462, 453, 440, 423, 402, 377? 348 What is the next term in 116, 211, 306, 401, 496? 591 What comes next: 1059, 2120, 3181, 4242, 5303, 6364? 7425 What comes next: 1, -6, -13, -14, -3, 26, 79, 162? 281 What comes next: -477, -516, -567, -636, -729? -852 What comes next: -5, -7, -3, 13, 47, 105, 193, 317? 483 What is the next term in -145, -111, -53, 29, 135, 265? 419 What is the next term in -55, -54, -43, -16, 33, 110, 221, 372? 569 What comes next: -184, -367, -550? -733 What comes next: -282, -283, -284, -285? -286 What comes next: 37, 69, 121, 193? 285 What is next in 14573, 14572, 14571, 14570? 14569 What is the next term in 318, 644, 970? 1296 What is next in 68, 84, 96, 92, 60, -12, -136? -324 What is next in 141, 1458, 5031, 11988, 23457, 40566, 64443, 96216? 137013 What is the next term in 990, 991, 992, 993, 994? 995 What comes next: 188, 197, 220, 263, 332? 433 What is next in -493, -494, -495, -496, -497? -498 What comes next: -1340, -1345, -1352, -1361, -1372? -1385 What is next in 198, 223, 248? 273 What comes next: -9, -27, -45? -63 What is next in 605, 604, 603? 602 What is next in -20, -65, -138, -239, -368, -525, -710? -923 What comes next: -76, -78, -80, -82, -84? -86 What is the next term in -562, -555, -536, -499, -438, -347, -220? -51 What is next in 41, 112, 235, 416, 661? 976 What is next in 5, -16, -77, -202, -415, -740, -1201? -1822 What comes next: -34, -37, -42, -49, -58, -69? -82 What is next in -225, -923, -2093, -3735, -5849, -8435, -11493? -15023 What is the next term in -20, -38, -66, -110, -176? -270 What is next in -76, -71, -70, -79, -104, -151? -226 What comes next: 3, -15, -43, -87, -153? -247 What is next in 156, 166, 182, 204, 232? 266 What is the next term in -7, -64, -173, -346, -595? -932 What comes next: 63, 68, 73, 78, 83? 88 What is next in 199, 200, 195, 178, 143, 84? -5 What is the next term in -38, -44, -60, -92, -146, -228, -344, -500? -702 What comes next: -19, -40, -65, -94? -127 What is next in 28, 35, 54, 91, 152, 243, 370, 539? 756 What comes next: -926, -1862, -2800, -3740, -4682, -5626, -6572? -7520 What is next in 871, 1747, 2627, 3511? 4399 What is next in 2588, 2586, 2594, 2618, 2664, 2738, 2846, 2994? 3188 What comes next: -46, -196, -450, -808? -1270 What comes next: -210, -203, -194, -183, -170, -155? -138 What is the next term in -15, -32, -49, -66, -83, -100? -117 What comes next: 99, 77, 55, 33, 11, -11? -33 What is next in -52, -48, -58, -88, -144? -232 What is next in 472, 938, 1404, 1870? 2336 What is the next term in -6, 13, 46, 99, 178? 289 What is the next term in -33, -38, -43, -48, -53, -58? -63 What comes next: 11, -79, -337, -847, -1693, -2959, -4729? -7087 What is the next term in -30, -149, -356, -651, -1034, -1505? -2064 What is the next term in -170, -204, -260, -344, -462, -620? -824 What comes next: 42, 84, 140, 216, 318, 452, 624? 840 What comes next: 118, 123, 128? 133 What comes next: -6, 3, 22, 57, 114? 199 What is the next term in -688, -691, -694, -697, -700, -703? -706 What comes next: -214, -199, -184? -169 What is next in 227, 287, 345, 395, 431, 447? 437 What is next in -33, -60, -105, -168, -249, -348? -465 What comes next: 474, 467, 460, 453? 446 What is the next term in 332, 660, 988? 1316 What comes next: 4, -22, -88, -212, -412? -706 What is next in -151, -311, -481, -667, -875, -1111, -1381? -1691 What is next in -111, -224, -339, -456, -575? -696 What is the next term in -78, -152, -226, -300, -374, -448? -522 What is next in -61, -58, -55, -52, -49, -46? -43 What is next in 34, 65, 90, 109, 122, 129, 130? 125 What is the next term in -1, 2, 7, 14, 23, 34, 47? 62 What comes next: 3, 14, 21, 24, 23, 18, 9? -4 What is next in -6, -31, -74, -135? -214 What is next in 48, 90, 132, 174, 216? 258 What comes next: -11, -39, -93, -185, -327? -531 What comes next: 949, 1902, 2855, 3808? 4761 What is the next term in -4439, -8877, -13315, -17753, -22191? -26629 What comes next: -626, -2569, -5816, -10373, -16246, -23441? -31964 What is the next term in 22, 41, 72, 115, 170? 237 What is the next term in -54, -73, -94, -117, -142? -169 What is the next term in 132, 129, 114, 81, 24, -63, -186, -351? -564 What is the next term in 54, 155, 424, 945, 1802, 3079? 4860 What is the next term in -713, -713, -711, -707? -701 What is the next term in -225, -453, -687, -927, -1173? -1425 What comes next: 161, 321, 497, 695, 921? 1181 What is next in -28, -88, -198, -382, -664, -1068, -1618? -2338 What is the next term in -19163, -38325, -57487, -76649, -95811, -114973? -134135 What comes next: 131, 132, 133? 134 What comes next: 1956, 1957, 1958, 1959, 1960? 1961 What comes next: -34, -56, -88, -136, -206? -304 What comes next: 123, 119, 115? 111 What is the next term in -39, -87, -137, -189, -243, -299, -357? -417 What comes next: -614, -616, -618? -620 What is the next term in 45, 31, 17, 3? -11 What is next in -15, -84, -271, -636, -1239, -2140, -3399? -5076 What is the next term in -663, -2663, -5997, -10665, -16667, -24003? -32673 What is the next term in 22, 47, 82, 133, 206, 307, 442? 617 What comes next: -3, 7, 25, 51, 85, 127, 177? 235 What is the next term in -56, -67, -64, -41, 8, 89? 208 What is next in -4309, -8614, -12919, -17224, -21529, -25834? -30139 What is the next term in 8, -23, -140, -385, -800? -1427 What comes next: 98, 94, 90, 86, 82? 78 What is next in -7, -36, -77, -136, -219, -332, -481? -672 What comes next: -36, -32, -18, 12, 64, 144, 258? 412 What comes next: 82, 179, 278, 379, 482? 587 What comes next: 64, 62, 58, 52? 44 What is next in -138, -131, -110, -69, -2, 97, 234, 415? 646 What comes next: -39, -160, -365, -660, -1051, -1544, -2145? -2860 What is next in 28, 28, 26, 22? 16 What comes next: -148, -146, -144, -142? -140 What comes next: 1088, 1087, 1086, 1085
{ "pile_set_name": "DM Mathematics" }
(a) -1 (b) q (c) y (d) -14 b Let t be 2 - 3 - (-4)/5. Let h be (2/26)/((7/(-7))/89). Let j = 7 + h. What is the closest to 0 in -5, j, t? j Suppose -7 = 308*t - 301*t. Which is the nearest to 0.9? (a) -2/3 (b) -2/15 (c) 3 (d) t b Let h = -1.2 + 2.2. Let p = 13.019 + -12.969. What is the nearest to p in 0.3, -3, 0.5, h? 0.3 Let q = 23661.4 - 23661. Which is the nearest to 118? (a) 1/10 (b) 2 (c) q (d) -0.4 b Let x = 0.833 + -0.033. Let s = 10.2 + x. Let p = s + -15. Which is the closest to 1/2? (a) -1 (b) p (c) -1/6 c Let z = -279 - -315. Let r be 36/40*8/z. Which is the closest to r? (a) 1 (b) 5/4 (c) -3/7 c Let u = 61663 - 61670. Let o(t) = t**2 - 3. Let z be o(3). Which is the nearest to 0? (a) u (b) z (c) -2/3 c Let q = -1.13 - -0.93. Suppose -10 = 7*t + 18. Let v = -0.01 - 4.99. What is the closest to 0 in q, t, v? q Let u be 6970/1700 - (-36)/(-10). What is the nearest to 1/3 in 0.01, u, -5/2, -1? u Let h = 47.83 - 46.63. Let m be 0 - (32/14 - 2). Which is the closest to h? (a) m (b) -0.2 (c) 0.5 c Let w(k) = -k + 4. Let n be w(6). Let j = 1232.17 - 1232.21. What is the closest to n in 4, j, -4/3? -4/3 Let q = 54.006 - 54. Let j = q - -0.994. Let z be 1*(-3 - 9*(-8)/30). Which is the nearest to j? (a) z (b) -26 (c) 1 c Suppose -93 = -7*l - 23. Let n be (-4)/(-45)*(-15)/l*-3. Let i = -29 - -28.5. What is the closest to n in i, 0.1, 3? 0.1 Let h = -0.12 + 0.02. Let k = 1.1 + -1. Let j = -105911.8 + 105913. Which is the nearest to -0.1? (a) j (b) h (c) k b Let j = 6051 - 6049.2. What is the nearest to 0 in 1/28, j, -3/8? 1/28 Let z = -66.94 + 66.88. Which is the closest to -0.4? (a) z (b) -2/11 (c) 1 (d) -0.3 d Suppose -16*w + 75 = -31*w. Let y = 7 - 6.9. Let n = y + 0.2. Which is the closest to 1/2? (a) -3/4 (b) n (c) w b Let w = 696 - 694. Suppose 0 = l + 3*r + 2, -4*l + r - 10 = -w. Which is the closest to l? (a) -2/9 (b) -3 (c) -1/4 (d) -0.1 b Let j = 9.43 - 9.53. Let s be (-2)/4 + 4/(-8). Which is the nearest to s? (a) j (b) -20 (c) -0.5 c Let v = 9.073 + -47.105. Let i = v - -38. Let y = 0.032 + i. What is the closest to y in -1, 0.4, 0.2? 0.2 Let t be (16/(-20))/((-25)/(-500)*56). Let c = -0.05 - 4.95. What is the closest to t in c, -4, -2.4? -2.4 Let d = 1708 + -1712. What is the closest to 4 in -11, d, -5? d Let q = -32 - -32.3. Let v = 20.09 + -20.19. Which is the closest to -2/7? (a) q (b) v (c) 2/17 b Let r = -3790 - -3789.9. What is the nearest to -2/7 in -3.2, -4/5, 0, r? r Suppose 0 = -2*m + 5*r + 70, -45*m + 196 = -40*m - 2*r. Let h = -5 + 14. Suppose l = h*l - m. Which is the closest to -27? (a) -1/2 (b) l (c) 2/11 a Let k = 282.05 - 282.04. Which is the closest to 0.2? (a) -1/2 (b) -5/3 (c) 1.2 (d) k d Let i = 0.622 + 1.378. Which is the nearest to -1? (a) 0.4 (b) 11 (c) i a Let j be ((-12)/(-14))/((-221)/(-3094)). Which is the closest to 1? (a) j (b) 1/7 (c) 0.5 c Let z = -170 + -80. Let h be ((-4)/(-18))/(z/150). What is the nearest to 0.1 in h, -0.3, 3? h Let c = -0.107 - -0.007. Let n = -34.562 + 0.662. Let a = n - -34. What is the nearest to a in 4, c, -1/2? c Let o = 79/36 - 85/36. Which is the closest to 0? (a) 0.3 (b) 1 (c) o c Let k = 10.1 + -11. Let u be 1404/((-1053)/(-39)) - 55. Let f = -1 - -0.9. Which is the nearest to f? (a) 5 (b) k (c) u b Let y = -12512 + 12512.003. What is the closest to y in -2/5, -2, 2, 2/3? -2/5 Let r = -79/252 - 5/252. Which is the nearest to -2/7? (a) r (b) -15 (c) -4 (d) -1/2 a Let p = 938 - 955. What is the nearest to p in -2, 5, 2/5, 8? -2 Let z be 231/(-42)*(-3)/11. Let u(r) = r**3 - 5*r - 2. Let d be u(-3). Which is the closest to 2? (a) z (b) -1/4 (c) d a Let v = 76 - 78.13. Let d = -0.17 + v. Let u = 2.2 + d. What is the closest to u in 0.5, -3/4, 3? 0.5 Suppose -3*f = -4*h + 6, -10 = -f - 3*h + 1. Suppose -23*i = 21 + f. What is the nearest to i in 0.06, 2/23, 3/2? 0.06 Let k = 330716/7 + -47245. Let j = -5 - -2. What is the closest to 1 in j, -5, k? k Let k = -0.03523 - -0.33523. Which is the nearest to 41? (a) -4 (b) 0.2 (c) -3/10 (d) k d Let x be (-19 + 16)*3204/54. What is the closest to -3 in x, 1/6, -4? -4 Let o = -385/318 + 905957/636. Let p = o + -1423. Let x = -6.3 - -6. Which is the nearest to p? (a) x (b) 12/5 (c) 0.1 c Let t = -5242 + 5241.6. Let l = 3.8 - 3.9. Which is the closest to 1? (a) l (b) 65 (c) -1 (d) t a Suppose -19*v + 20*v + 2*x = 13, -4*v + 36 = 4*x. Suppose v*p - 35 - 13 = 3*h, 5*h + 4*p + 43 = 0. Which is the nearest to 1? (a) 2 (b) -1/2 (c) h a Let j = -3.03 - -23.93. Let b = j - -6.1. Let m = b + -26.8. What is the closest to 14 in 0.1, 0.4, m? 0.4 Let p = -8.5 + 33.5. Let h = -25.1 + p. What is the nearest to -0.2 in h, 1/2, -0.08? h Let o = -391 - -791. Let v = -403 + o. What is the nearest to 1 in v, 0.2, 0.1? 0.2 Let x = 150042 + -149416.07. Let i = -626 + x. What is the nearest to -0.4 in -5, 0.3, i? i Suppose 3*n - 87 = 8 + 223. Let o = 138 + -31. Let w = n - o. Which is the closest to w? (a) -2 (b) -0.2 (c) 0.8 b Let n = -10.4 + 0.4. Let u = -0.07171 + -0.92829. What is the closest to -1 in 5, u, n? u Let a be -3 + (2 + 1 - 1). Let j = 358 - 1792/5. Let l be 20/(-6) - (2 - 4). What is the closest to a in l, j, -0.5? l Let w = 481.2 - 481.4. Suppose -y + 4*y + 12 = 0. Which is the nearest to w? (a) 0 (b) y (c) -0.8 a Let m = 104 - 274. Let i = m + 174. What is the closest to -2/5 in 1, i, -2? 1 Let m = -7 - -4. Let y = m - -4. Let x = -100/11 + 499/44. Which is the nearest to x? (a) y (b) -1 (c) 2/17 a Let m be -1*-3*(-2 - -1). Let q be (-24)/(-18) - (2 + (-56)/21). Let y = -2.056 + 0.056. Which is the closest to q? (a) m (b) -1 (c) y b Let t = 564 - 565. Which is the closest to 9? (a) t (b) 4 (c) -2/15 (d) -2/13 b Let o = 7.97 + 0.03. Let j(l) = 4*l**2 + 2023*l + 2022. Let n be j(-1). What is the nearest to o in 5, -3, n? 5 Let t = -42.751 + 38.33. Let k = -0.421 - t. What is the closest to -1/4 in k, 1/2, 16? 1/2 Let q = -111 + 111.5. Suppose -20*r - 8 = -12*r. Which is the nearest to r? (a) -2/5 (b) q (c) -3/5 (d) 5 c Let f = -0.35 + -0.05. Let h = -20247 + 60742/3. Which is the closest to h? (a) f (b) 3 (c) -1/5 c Let i = -3/349 + -677/2443. Which is the closest to 0.1? (a) 0.3 (b) i (c) -501 (d) -2 a Let l = 9 - 9.1. Let r = 153.85 + -157. Let y = 1.15 + r. What is the closest to l in 0.23, y, 0.2? 0.2 Let i = 63 + -68.084. Let s = -0.084 - i. Let o = -30/13 + 64/39. Which is the nearest to 0.1? (a) 0.04 (b) o (c) s a Let u be (-88)/(-55) + 7391/(-4560). Which is the nearest to 0.2? (a) -2/7 (b) u (c) -16 b Let w = -189 - -189. Let d be (5/(-2) + 0)/((-45)/9). What is the closest to w in -0.1, -6, d? -0.1 Let p be ((-22)/18)/((-4290)/(-1170)). Which is the closest to p? (a) 5 (b) -2 (c) -26 (d) 2 b Let i = -3 - -3.1. Let g = 499.105 + -0.105. Let y = 498.6 - g. What is the nearest to i in y, -1, 0.5? 0.5 Let t = -229.4 + 258. Let f = t + 0.4. Let g = 29 - f. What is the closest to 0 in 9, g, -1/6? g Let r = 4363 - 4363.2. Let i = 181.2 - 181. What is the nearest to 0.2 in i, -10, r? i Let z = 843.4 + -842.9. What is the closest to 9 in 0.4, z, 3, -1? 3 Let j be (-3)/2 + 56/(-16). Suppose -5*k = 3*d + 4, 48*d - 45*d = -2*k + 2. Which is the nearest to 1? (a) 3 (b) k (c) j a Let d(r) = -7*r + 35. Let x be d(5). Let j be (-68)/70 - (-9 + 59/7). Which is the nearest to x? (a) 1/3 (b) j (c) -15 a Let o = -59/28601 - 371897800/486217. Let h = 765 + o. Which is the closest to -0.04? (a) -4/7 (b) -1/8 (c) h (d) -5 b Let s = -46/7 + 177/28. Which is the nearest to s? (a) -1/5 (b) -14 (c) 3 a Let d be (45/20)/(-9) + -5 + 469/84. Which is the nearest to 2/3? (a) d (b) -0.2 (c) 5/23 a Let y = 109.24 + -108.54. What is the nearest to 2/5 in 0.2, -2/9, y? 0.2 Let i = -2.3 + 2.2. Let f = 9301/3 + -3100. Which is the closest to i? (a) f (b) 2 (c) 0 (d) 10 c Let u be -3*-2*2/(-12). Let x be (-24)/10 + (4 - 2). Let j be (-1)/(17/(119/49) - 4). What is the nearest to u in x, -0.2, j? x Let t = 4.15 - 4.85. Let k = t + -4.3. Let f be 40/15 + -1*3. Which is the closest to f? (a) 1/3 (b) 2 (c) k a Let v = -59522 + 59517. Let u = -0.5 - 0.2. Let o = -3.3 + u. What is the nearest to 0 in v, -2, o? -2 Let q = -15
{ "pile_set_name": "DM Mathematics" }
ked without replacement from bzhbzzznz. What is prob of picking 1 z and 1 h? 5/36 Three letters picked without replacement from ffxlllxlxxlfxlxxlx. What is prob of picking 2 l and 1 x? 7/34 Four letters picked without replacement from jfjjrrjrrrrjjrrfr. What is prob of picking 2 r and 2 j? 27/119 Four letters picked without replacement from fkskyyuqffsy. Give prob of picking 2 u and 2 s. 0 Three letters picked without replacement from {a: 11, x: 9}. What is prob of picking 3 x? 7/95 What is prob of picking 1 s, 1 w, and 2 q when four letters picked without replacement from qwwos? 0 Calculate prob of picking 2 f when two letters picked without replacement from {j: 7, l: 3, m: 4, f: 2, a: 3}. 1/171 What is prob of picking 3 i and 1 s when four letters picked without replacement from {s: 5, a: 1, i: 5}? 5/33 What is prob of picking 3 r and 1 c when four letters picked without replacement from ucrccrrrrcucurc? 8/91 Two letters picked without replacement from zzzzzzvzzzzzzzzzzzzz. Give prob of picking 1 v and 1 z. 1/10 What is prob of picking 1 i and 2 p when three letters picked without replacement from {p: 3, i: 3}? 9/20 Calculate prob of picking 1 u and 2 k when three letters picked without replacement from {s: 1, u: 1, k: 3}. 3/10 Two letters picked without replacement from {y: 1, f: 3}. Give prob of picking 2 f. 1/2 Four letters picked without replacement from {v: 7, c: 4, t: 4}. What is prob of picking 1 t and 3 v? 4/39 Two letters picked without replacement from qnndqqnqnnn. Give prob of picking 1 n and 1 q. 24/55 Calculate prob of picking 1 r and 1 n when two letters picked without replacement from {e: 2, r: 4, n: 1, s: 6}. 2/39 What is prob of picking 2 g when two letters picked without replacement from {g: 12, q: 3, s: 2}? 33/68 What is prob of picking 1 g and 2 l when three letters picked without replacement from {z: 2, s: 3, l: 7, g: 5, o: 3}? 7/76 Three letters picked without replacement from {o: 12, m: 6}. What is prob of picking 3 o? 55/204 Calculate prob of picking 4 h when four letters picked without replacement from hhhhwhhhhhhhhhh. 11/15 Four letters picked without replacement from {r: 1, a: 3, g: 3, n: 4, z: 5, b: 4}. What is prob of picking 3 b and 1 z? 4/969 What is prob of picking 2 c when two letters picked without replacement from qqxxcqqcqxx? 1/55 Calculate prob of picking 2 x when two letters picked without replacement from xxxpxxpxx. 7/12 What is prob of picking 2 y and 1 d when three letters picked without replacement from pdpdddydpddpydddddyd? 13/380 Three letters picked without replacement from {l: 5, s: 4, z: 5}. Give prob of picking 2 z and 1 s. 10/91 Three letters picked without replacement from {f: 1, a: 1, u: 2, k: 3, m: 3, e: 2}. Give prob of picking 3 k. 1/220 Calculate prob of picking 4 j when four letters picked without replacement from {j: 10}. 1 Calculate prob of picking 1 p and 2 t when three letters picked without replacement from {y: 6, t: 6, j: 1, q: 3, p: 1, f: 1}. 5/272 Calculate prob of picking 3 i when three letters picked without replacement from wwiiwiiiiw. 1/6 Four letters picked without replacement from {m: 4, v: 3}. What is prob of picking 4 m? 1/35 Three letters picked without replacement from {r: 3, p: 3, a: 1, v: 3, h: 2, i: 2}. Give prob of picking 1 i, 1 h, and 1 p. 3/91 Three letters picked without replacement from xixxxxxi. What is prob of picking 1 x and 2 i? 3/28 Calculate prob of picking 3 h when three letters picked without replacement from {h: 7}. 1 What is prob of picking 1 y and 1 d when two letters picked without replacement from dyyuu? 1/5 Two letters picked without replacement from {k: 2, z: 2, x: 7}. What is prob of picking 2 k? 1/55 Three letters picked without replacement from uuuu. Give prob of picking 3 u. 1 Two letters picked without replacement from {f: 2, k: 4, l: 7, t: 1}. Give prob of picking 1 l and 1 f. 2/13 Four letters picked without replacement from gokkpqag. What is prob of picking 2 k and 2 g? 1/70 Two letters picked without replacement from {w: 1, r: 5, k: 2, g: 1, q: 1}. What is prob of picking 2 r? 2/9 Two letters picked without replacement from {r: 2, v: 1, s: 4, g: 1, b: 1}. What is prob of picking 1 v and 1 r? 1/18 Four letters picked without replacement from {g: 3, j: 3}. What is prob of picking 2 g and 2 j? 3/5 Three letters picked without replacement from wffwifwiwffiiiffii. What is prob of picking 1 i and 2 w? 7/136 Two letters picked without replacement from rnntrntttnrnntnntnt. What is prob of picking 2 n? 4/19 What is prob of picking 2 p and 1 g when three letters picked without replacement from gppgpp? 3/5 Calculate prob of picking 1 j, 1 h, and 1 l when three letters picked without replacement from {j: 7, m: 1, l: 4, h: 1}. 14/143 Four letters picked without replacement from kkzkzczzzk. Give prob of picking 3 k and 1 z. 2/21 Three letters picked without replacement from jdwsjla. What is prob of picking 1 w, 1 l, and 1 s? 1/35 Four letters picked without replacement from iiiiiiiiii. What is prob of picking 4 i? 1 Calculate prob of picking 1 o and 1 s when two letters picked without replacement from sooosoosooooooosooo. 20/57 Calculate prob of picking 2 k when two letters picked without replacement from {t: 1, s: 1, x: 4, g: 2, k: 8}. 7/30 Calculate prob of picking 4 t when four letters picked without replacement from {u: 9, v: 4, t: 4}. 1/2380 What is prob of picking 1 j, 1 p, and 1 x when three letters picked without replacement from {x: 1, j: 1, c: 1, y: 1, p: 1}? 1/10 What is prob of picking 1 g and 1 j when two letters picked without replacement from ggjgggjjjggjzzggmmgj? 6/19 Two letters picked without replacement from doooododooooooo. Give prob of picking 2 d. 1/35 Three letters picked without replacement from {i: 1, p: 4, z: 1, u: 2, n: 1}. What is prob of picking 1 i, 1 n, and 1 z? 1/84 Three letters picked without replacement from {z: 1, k: 4, p: 7, a: 1}. What is prob of picking 3 p? 35/286 Three letters picked without replacement from {q: 7, p: 3}. Give prob of picking 1 p and 2 q. 21/40 Three letters picked without replacement from qyrttqrrqyyrt. What is prob of picking 2 t and 1 y? 9/286 What is prob of picking 1 l and 1 o when two letters picked without replacement from {q: 2, z: 1, t: 1, l: 2, o: 1, g: 1}? 1/14 What is prob of picking 2 s and 1 x when three letters picked without replacement from {x: 7, s: 5}? 7/22 Calculate prob of picking 1 w, 1 k, and 1 b when three letters picked without replacement from {w: 2, k: 2, b: 2}. 2/5 Two letters picked without replacement from djjjdjj. What is prob of picking 1 j and 1 d? 10/21 Four letters picked without replacement from {c: 2, a: 3, g: 1, s: 1}. Give prob of picking 3 a and 1 s. 1/35 Two letters picked without replacement from vmqvzqmqqqqvqzhhq. Give prob of picking 1 v and 1 h. 3/68 Two letters picked without replacement from ltlllllllt. Give prob of picking 1 t and 1 l. 16/45 What is prob of picking 1 g and 2 p when three letters picked without replacement from ppgppgppgpppppgppp? 91/204 Two letters picked without replacement from obbbbbfbnsbb. Give prob of picking 1 b and 1 s. 4/33 Four letters picked without replacement from {x: 6, m: 6}. What is prob of picking 4 m? 1/33 Three letters picked without replacement from vguguguvvvvvvgsggu. Give prob of picking 2 v and 1 s. 7/272 Four letters picked without replacement from dumdufufuumyo. What is prob of picking 1 y, 1 u, and 2 m? 1/143 Calculate prob of picking 1 o and 2 z when three letters picked without replacement from {t: 5, o: 4, j: 2, z: 2}. 2/143 Calculate prob of picking 1 l and 2 z when three letters picked without replacement from {z: 2, q: 1, l: 1, n: 4, p: 2}. 1/120 Calculate prob of picking 4 y when four letters picked without replacement from yyyyyyyyyy. 1 Calculate prob of picking 3 p and 1 a when four letters picked without replacement from aappaap. 4/35 Four letters picked without replacement from qmmmmymmumqumqmmmqm. What is prob of picking 4 q? 1/3876 Four letters picked without replacement from {b: 7, n: 2}. What is prob of picking 3 b and 1 n? 5/9 Three letters picked without replacement from bbxxbxxbxbbxbxxx. Give prob of picking 1 b and 2 x. 9/20 What is prob of picking 1 c and 1 q when two letters pick
{ "pile_set_name": "DM Mathematics" }
the third biggest value in 6881341, -0.1, -2/9? -2/9 What is the third biggest value in 143, 6, -0.1, -1/289, -0.3? -1/289 Which is the third smallest value? (a) -34 (b) 4 (c) 358.1 (d) 3/4 (e) 12 b What is the biggest value in 240, 0, -5, 13/5124? 240 What is the fourth smallest value in -35, -3, 2002, 0.2, 0.3? 0.3 Which is the smallest value? (a) 0.2 (b) 0.051003 (c) 99 b Which is the second smallest value? (a) -3 (b) 20755.61 (c) -5 (d) 3 a Which is the biggest value? (a) -7027 (b) 0.03 (c) 2 (d) 4/3 c Which is the biggest value? (a) -61190 (b) -3 (c) -2 c What is the third biggest value in -33/13988, -236, 2/9, 2/7? -33/13988 What is the smallest value in 2/7, -1, 0.5, -3/5, -96/11, 0.6, 26? -96/11 What is the second biggest value in -26341/275, -0.4, 3? -0.4 Which is the fifth smallest value? (a) 3 (b) 0 (c) 0.01 (d) 0.3 (e) -3/667 a What is the second biggest value in 0.3, 0.2, 536, 3.4, -15, -0.2? 3.4 What is the smallest value in 478659, 0.5, 69/4? 0.5 Which is the second smallest value? (a) -3/31 (b) 15.157 (c) -4 a Which is the fifth biggest value? (a) 1/4 (b) 2 (c) 5 (d) 4 (e) 0.05 (f) 5.368 a What is the second biggest value in 5/9, -0.4, 7, -99, -3.57? 5/9 What is the fourth biggest value in 7, 566, -2/13, 2/77? -2/13 What is the sixth biggest value in 1, 2/5, -2, -20, 0.2, 5, 1134? -2 Which is the third biggest value? (a) -4 (b) 0.14 (c) -1/3 (d) -3 (e) -0.1 (f) 1477 (g) 0.4 b Which is the biggest value? (a) 5 (b) 72/11 (c) -0.01 (d) 0.2 (e) 95.5 (f) 0.1 e Which is the third smallest value? (a) 1852 (b) 3/7 (c) -8 (d) 5/4 d What is the fifth biggest value in -11, 0.01, 1/7, 9, 1910/3? -11 What is the fifth smallest value in -13635970, 1, -2, -5, -1/4? 1 Which is the seventh biggest value? (a) -3 (b) -9 (c) -99 (d) 2 (e) 6 (f) -2/9 (g) 0.612 c What is the seventh biggest value in -2, 0.4, 2/9, -5/6, -244, 1/2, 19? -244 Which is the second smallest value? (a) 1/5 (b) 3644 (c) 29 (d) 25 d Which is the smallest value? (a) -34 (b) 127309 (c) 3 a Which is the fourth biggest value? (a) -1/5 (b) -33/5 (c) -0.61 (d) -477/2 d What is the fourth biggest value in -0.08, -246, 0, 9953? -246 Which is the third biggest value? (a) 2 (b) 406 (c) 0 (d) 1 (e) -5 (f) -2/13 d Which is the sixth biggest value? (a) -28 (b) -38 (c) -6 (d) 1/4 (e) 0.2 (f) 0.1704 (g) 0 a What is the sixth smallest value in 0.1, -9/47, 0.21, 1, -21, -2, -4? 0.21 What is the smallest value in 29, -10, -20, 2/7, -6? -20 Which is the second biggest value? (a) 12 (b) 68/3 (c) -23403 a What is the biggest value in 0, -807, 322, 1? 322 What is the smallest value in -26, 3/16, -67/44? -26 What is the fifth smallest value in 3/44, 30, 2/3, 9/4, -364? 30 What is the third biggest value in -10, -2/13, 3.4, -10/159? -2/13 What is the biggest value in 1, -0.56, -132154? 1 Which is the third biggest value? (a) -0.3 (b) 355/2 (c) 0 (d) -4/571 (e) 0.2 c What is the fifth smallest value in -8, -4484, -2, 3, 0, 0.08? 0.08 Which is the third biggest value? (a) 0.18 (b) -2532 (c) -520 (d) 2/7 (e) -1/10 e Which is the second smallest value? (a) 0.2 (b) 4 (c) 1 (d) 3693/76 (e) 0.01 a What is the fourth smallest value in 3.5, -2230, -69.7, 5? 5 What is the third biggest value in 65, 7, -450, 2/7? 2/7 Which is the biggest value? (a) -3/211 (b) 3/2 (c) 0.1 (d) 1/11 (e) 0.4 (f) -3/5 (g) -9 b What is the sixth biggest value in 2/11, -1/3, 0.18, 6, 5/8, 0.11, 1? 0.11 Which is the third smallest value? (a) -6 (b) 4 (c) 2/7 (d) 7288 b Which is the third biggest value? (a) 1 (b) 0 (c) 401 (d) 0.07 (e) 5 (f) -2/9 (g) 4 g Which is the third smallest value? (a) -1 (b) -0.602024 (c) 1/6 (d) 2 (e) 1 c What is the seventh smallest value in -8, 18, -3, -2/29, -13, -5, 3.4? 18 Which is the second smallest value? (a) 1.45 (b) -12/11 (c) -0.5 (d) -1/722 c What is the fourth biggest value in 8/7, -2/13, -0.4, 6, 616? -2/13 What is the fourth smallest value in -0.0371, 14, 29, 2/107? 29 What is the seventh smallest value in 5, -4, -3, -138, 3/7, 6, 17? 17 Which is the third smallest value? (a) 997 (b) 4 (c) -1/2 (d) -3 (e) -0.2 e Which is the second biggest value? (a) -3 (b) -30 (c) -0.06 (d) 26 (e) 0.951 (f) -5 e Which is the biggest value? (a) -0.2 (b) 4272 (c) 4 (d) 0.223 (e) -3 b What is the biggest value in -43/202, 0.4, -4984? 0.4 What is the smallest value in -4, 0.6, 14.1567, 0, 4? -4 What is the second smallest value in 119332, 20/27, -1/5? 20/27 Which is the biggest value? (a) 0.269 (b) -2 (c) -23/3 (d) 4/9 (e) -0.4 (f) 5.6 f Which is the smallest value? (a) 0.17 (b) 4 (c) 14 (d) -3/7 (e) 8 (f) 29/4 (g) 1/3 d Which is the biggest value? (a) 2249 (b) -2 (c) 8 (d) -623 a What is the second biggest value in 33, 0, -5, 99, -4, -45? 33 Which is the fourth smallest value? (a) 0.2 (b) 4 (c) -1/50 (d) -620 (e) -2/27 a Which is the third smallest value? (a) -2 (b) 100 (c) -0.6046 (d) -1/2 (e) 1/3 d What is the sixth biggest value in 10/9, -2, -2/19, 262/9, 0, -114, -0.1? -2 Which is the fourth smallest value? (a) 3 (b) 14 (c) -2/627 (d) -1 (e) 1/7 (f) 0.8 (g) -1/2 e Which is the fourth biggest value? (a) -209 (b) -1142 (c) 3/7 (d) 0.1 (e) 5 a Which is the fourth smallest value? (a) 161 (b) 4 (c) 29 (d) -1/2 (e) -21/2 c Which is the smallest value? (a) -0.2 (b) 400/61 (c) -2/11 (d) -1 d What is the fifth smallest value in -0.06, -1/7, -2594, 1, -0.087? 1 What is the second biggest value in -0.137, -6.77, 0, 21? 0 Which is the second biggest value? (a) -468/361733 (b) -4/5 (c) -0.2 c What is the second smallest value in -102, -0.5, 33, -1, -1/5, -1/6? -1 What is the fifth smallest value in 1/3, 0.2, 7, 5, -1/7, -491? 5 Which is the second biggest value? (a) 15 (b) -3 (c) 2/3 (d) 3 (e) -0.3 (f) 1/3 (g) -464 d What is the second biggest value in 8/82669, 11, -0.4, -1/10? 8/82669 Which is the fifth smallest value? (a) -2/19 (b) 5 (c) 433 (d) 11/2 (e) -25 c Which is the fifth biggest value? (a) -9 (b) 3/4 (c) 0 (d) 1 (e) 3800/7 (f) -0.1 f Which is the third smallest value? (a) 35 (b) 0.4 (c) -5/2 (d) -2/5 (e) 0.07 (f) -22 (g) 1 d What is the fourth biggest value in -0.4014, 2/9, 4, 3/10, 0.1, -3/4? 0.1 What is the third smallest value in -1/70, 11, -5, -3/4, 1, 1/4, -0.04? -0.04 What is the biggest value in -29, 35686, -3? 35686 What is the third biggest value in 34762, 203, -0.02, -3? -0.02 Which is the sixth biggest value? (a) -5 (b) 0.07 (c) -2/7 (d) 3 (e) -2/469 (f) -19 f What is the third smallest value in -1.7, -3, -0.5, 3, 2/15, -134, -5? -3 What is the third biggest value in -21, -37, 0, 190, -4, -0.2? -0.2 Which is the biggest value? (a) -4 (b) 85 (c) -2/157 (d) -0.4 (e) 37 (f) 2/13 (g) -3/8 b What is the smallest value in -4, 4, 12715, 0.6, 5/14? -4 What is the biggest value in 2/13, -2/21, -161.2, -8887? 2/13 What is the second smallest value in -0.3, -0.1, 49, 7081? -0.1 What is the second biggest value in -231, -10, -509? -231 What is the sixth biggest value in 2/3, -4, -5/13, -3/7, -0.06949, -2? -4 What is the fourth biggest value in -80/13, -2, 5, -8/21, 3, -6, -3? -2 What is the second smallest value in 6, -1, 294392, 0.1? 0.1 What is the fourth biggest value in -1, -1/3, 93, -3/4, 13? -3/4 Which is the sixth biggest value? (a) 1/5 (b) -104 (c) 0.5 (d) -2/3 (e) 3 (f) 89/8 b Which is the third smallest value? (a) -0.15 (b) -3/283 (c) 0.03 (d) 2/11 (e) -1 b What is the second biggest value in 113, -1.6, 2/9, 198? 113 Which is the second smallest value? (a) 55 (b) -8 (c) 4.22 (d) 0.1 d What is the biggest value in 0.218, 0.4, 0.05, 4/67123, -2/7? 0.4 What is the fourth smallest value in -0.9, 5, 2, 4, 8.397, -7? 4 Which is the seventh smallest value? (a) 0.024 (b) 28 (c) -2.3 (d) -4/5 (e) -2/3 (f) 3 (g) -3 b What is the second smallest value in -2, 5, 77, 2/15, 2395? 2/15 Which is the fourth smallest value? (a) -1/2 (b) 24 (c) -2/53 (d) -12 (e) 2/21 (f) 5/4 e Which is the third smallest value? (a) 16 (b) -6 (c) 0.3 (d) -349 (e) -4 e Which is the biggest value? (a) -2/9 (b) 3/4 (c) -357463 (d) -2/13 b What is the third biggest value in -
{ "pile_set_name": "DM Mathematics" }
.726 Work out -0.4 + -3.204. -3.604 Work out 31365 + 0.2. 31365.2 Total of 1478 and -1207. 271 21 - -5.74 26.74 What is -0.0442 + -5? -5.0442 -4 - 0.213073 -4.213073 Add together -529.497 and 5. -524.497 Subtract -15979 from -0.0391. 15978.9609 What is -5271 plus -1.07? -5272.07 What is 0.1 - 241.8? -241.7 What is -602 plus -162? -764 Add -6 and 470050. 470044 What is -11434 - 4? -11438 Put together 24 and -158232. -158208 Subtract 0.8 from -1.2757. -2.0757 Subtract 0.5 from 58920. 58919.5 What is 108 less than -241? -349 537.6 - -1.1 538.7 What is 21 + -94? -73 Calculate -2.49 - -236. 233.51 -5497140 - 1 -5497141 What is -2.8 take away -0.068? -2.732 Work out 217.2 + 113. 330.2 Work out 8.4 - 18.71. -10.31 Sum 1.2035 and -16. -14.7965 0.6241 - 0.3 0.3241 Calculate -42 - 0.37. -42.37 What is 0.00753531 plus 4? 4.00753531 10469+8 10477 What is -719805 + -2? -719807 0.3 + -4.856 -4.556 Add 0.5 and -5.9. -5.4 Total of 0.3521 and -3.47. -3.1179 Add together 18 and -76.06. -58.06 Sum -218702 and 0.02. -218701.98 Add together 3 and -97.422. -94.422 Work out -0.1 + 1231. 1230.9 What is -29.5249 minus 3? -32.5249 What is -3 + -358873? -358876 What is the distance between 0.119374 and -1.1? 1.219374 1.2 + -0.353 0.847 What is -57 plus -1511? -1568 Total of 31 and 109. 140 -0.02489 - -3 2.97511 What is 354 - -3.89? 357.89 -3 + 0.1627964 -2.8372036 -638.61 + 0.3 -638.31 What is 0.15702 take away 5? -4.84298 Put together 0.2 and 29.8. 30 Total of 4.54 and 0.3. 4.84 What is -0.4 - 5860? -5860.4 Total of -170 and 0.1. -169.9 Subtract -150.56 from -0.09. 150.47 5.69 - -0.4 6.09 Calculate -0.4 + 589.99. 589.59 -2422.18 + -10 -2432.18 What is -5650 minus 4? -5654 Total of 1426816 and 2. 1426818 What is the distance between 15.714 and 0.4? 15.314 -7 - 5939 -5946 What is 0.06 minus -5? 5.06 Add 25 and -0.4. 24.6 What is 1.528 less than -70? -71.528 What is -13.4 plus 5.549? -7.851 Work out -76116 + -42. -76158 -0.1 - 3.609 -3.709 Calculate 0.2 + 20189. 20189.2 0.2 - -0.874 1.074 Work out 27 + -1810.2. -1783.2 65430.7+-4 65426.7 Subtract 22.25 from -9. -31.25 Calculate -547696 + 0.1. -547695.9 What is -2.81 + -11860? -11862.81 Add together 0.3 and -5.405. -5.105 Calculate 640.6 - -100. 740.6 Total of 7 and -113.352. -106.352 -2.68 - -6.7 4.02 0.03051 + -1 -0.96949 What is 0.1 plus -173? -172.9 Total of -1551257 and 0.5. -1551256.5 Calculate -257801 - 8. -257809 Calculate 1.611 + 0.1106. 1.7216 What is -3540 + 0.3? -3539.7 What is -22463 - -2.91? -22460.09 Put together -0.0323206 and -3. -3.0323206 Subtract 176 from 80. -96 -1.26 + 36 34.74 What is -0.12 take away -0.2748? 0.1548 Sum -12 and -125319. -125331 25+59 84 2 + -1377 -1375 Calculate -15 + -72.7. -87.7 What is 0.3 - -1904277? 1904277.3 Subtract -0.118 from -18. -17.882 What is the difference between -119.5 and 2.3? 121.8 Sum -5586.109 and -0.5. -5586.609 Add -882 and 41. -841 Sum -2 and 700. 698 Total of -0.12 and -25528. -25528.12 Add -5 and 481.15. 476.15 1+1325.16 1326.16 Total of 2.2 and 139. 141.2 Total of 4 and 1739. 1743 What is -218 minus 4? -222 1.01489+0.2 1.21489 -801.82 - 0.6 -802.42 Calculate -0.032 - -34. 33.968 0.054067 + 0.01 0.064067 What is the distance between -103.7 and 31? 134.7 What is 0.432 less than 21.7? 21.268 What is the difference between -54 and 0.03362? 54.03362 What is -119.813 take away -0.2? -119.613 Put together -0.01 and 1.77. 1.76 What is 0.2123 + -45.6? -45.3877 -251+-0.037 -251.037 What is 0.6 - 2328487? -2328486.4 Add together 2538 and 0.3. 2538.3 What is the distance between 2741 and 11? 2730 What is 4 less than -4111? -4115 -3+-1279 -1282 What is 0.4 less than -113912? -113912.4 Calculate 1.049 - -0.10795. 1.15695 Work out -121083 - 0.5. -121083.5 Total of -5038444 and -0.5. -5038444.5 What is -64.67 + 14.3? -50.37 -198+-3449 -3647 What is -391679 plus 0.11? -391678.89 What is -1.05 take away 8.4? -9.45 Add together 1 and 412. 413 -139.4 - -6 -133.4 Total of 2076411 and -0.3. 2076410.7 Sum -0.608 and -113. -113.608 Total of 4 and -3.07. 0.93 Work out 62 - -24670. 24732 What is the difference between -8218 and 4? 8222 What is 0.3 minus -3.5247? 3.8247 Put together 1 and 0.0874. 1.0874 What is the distance between -1 and 517029.4? 517030.4 Total of -0.1 and 10278. 10277.9 Add together 131.3 and 1. 132.3 What is 4.313 minus 5? -0.687 Work out 6.6 + -60.4. -53.8 What is -43870 take away 0.06? -43870.06 -0.2+192008 192007.8 Add together -0.65 and -1.18. -1.83 Sum -0.24 and -11. -11.24 Add 149980 and -0.2. 149979.8 What is -2.7662 + -0.3? -3.0662 Add -106.2 and -1708. -1814.2 What is 395.6 + -1? 394.6 Subtract 928 from 235. -693 What is the difference between -4.12 and -17? 12.88 Calculate 0.49 + -48.4. -47.91 0.12806+-0.3 -0.17194 What is -1314.8 plus -0.2? -1315 Work out -41 - -0.18. -40.82 19 - 128240 -128221 What is 0.4 less than -24499? -24499.4 What is the difference between 0.3 and 19.52? 19.22 Add together -758 and 7. -751 What is -15130 plus -0.04? -15130.04 What is 0.4 take away 0.185254? 0.214746 What is -4 minus 0.192? -4.192 1 - -2.04 3.04 0.051 - 87 -86.949 Calculate -0.2 + -1245. -1245.2 Total of 31 and 0.80438. 31.80438 What is 2.5 less than -160.8? -163.3 What is -146.7 - -3? -143.7 Calculate -0.39 + -23. -23.39 What is -14 less than 0.169? 14.169 -0.8+-3.399 -4.199 What is 450752 + -0.5? 450751.5 Put together 5026 and 0.9. 5026.9 What is 3520.031 less than 0.5? -3519.531 What is 0.433 less than -2? -2.433 -162.35+-157 -319.35 Put together -271 and 0.07. -270.93 Put together -0.8268265 and -5. -5.8268265 What is -26003 plus -190? -26193 Work out -0.4 - 0.485. -0.885 What is 2.3 + -0.289? 2.011 What is -0.146 - 47? -47.146 Calculate -106 + -282. -388 What is 0.5 - -0.136872? 0.636872 -0.6 - -56052 56051.4 What is the distance between -6.1 and -9.62? 3.52 Work out 9.20909 - 3. 6.20909 Put together 0.01 and -2.86. -2.85 What is -0.23 minus 13381? -13381.23 What is 0.95 take away 10? -9.05 0.05 + -0.56 -0.51 -5+-14448 -14453 Calculate -0.1 - -4.83682. 4.73682 Subtract 580 from -1. -581 Add -37 and -15908. -15945 Sum -4 and 284. 280 Put together 3.35 and -5765. -5761.65 Put together 8.1 and 6718. 6726.1 What is 3381 minus 0.3? 3380.7 Calculate -1.409 + 17. 15.591 What is -0.13 + 30347? 30346.87 What is the distance between -331 and -11? 320 What is 0.092 minus 153? -152.908 Subtract 61 from 4094. 4033 Subtract 2.56 from 0.5. -2.06 410+-5 405 What is 0.12097 - 1? -0.87903 What is the difference between -3.65 and -4.3? 0.65 Work out 49.569 + -57. -7.431 Add together 539 and -0.5. 538.5 Subtract 233 from -8.2. -241.2 -40 - -59.6 19.6 What is 5 take away 0? 5 What is 246.592 less than -4? -250.592 What is -1.0756 plus -0.2? -1.2756 What is 0.08354 + 0.5? 0.58354 What is the difference between -2954 and 3? 2957 Total of -14649 and 80. -14569 Calculate 0.03 + 275. 275.03 Add together -1616718 and 1. -1616717 Put together 0.477 and 0.19. 0.667 Add together 2888 and 11. 2899 Calculate 35.1 + -0.5. 34.6 What is -24 less than -1812.6? -1788.6 Calculate 166 - 109. 57 What is 3966 minus -849? 4815 -805 - 0.4 -805.4 What is 4 plus 189? 193 Add -0.907 and -0.01. -0.917 What is the difference between -0.03 and 427193? 427193.03 0.06 - -1.13685 1.19685 What is -0.2944116 - 0.5? -0.7944116 Sum -0.3125 and 10. 9.6875 Subtract -1396 from 1.9. 1397.9 Calculate -2306 - -299. -2007 -3 - 3.22 -6.22 Put together 253.4 and -0.2. 253.2 Calculate -48.6 - -2630. 2581.4 11990 - -0.17 11990.17 8352+0 8352 What is -2673 take away 0.2? -2673.2 -9.5 - -3860 3850.5 What is the difference between 1.406 and 1.7? 0.294 What is 10.215 + 0.3? 10.515 Sum 0.32 and -1567. -1566.68 Sum -0.1 and -3317. -3317.1 Work out -0.4 + -0.582. -0.982 What is the difference between -0.06 and 13? 13.06 Subtract 17720 from -0.8. -17720.8 What is -23 + -3.75? -26.75 What is -159 + 45? -114 What is the difference between -90607 and 0? 90607 3 + 0.1190498 3.1190498 What is the difference between 5270.75 and -0.5? 5271.25 Calculate 0 - 0.0042. -0.0042 Work out -1145424 - 0.7. -1145424.7 Subtract -0.174 from -0.5099. -0.3359 Total of -497 and 60. -437 Put together -13860.11 and -3. -13863.11 Work out 6562 - 2.1. 6559.9 What is -39 minus 41? -80 What is -0.13 minus -73105? 73104.87 What is 105 take away 399? -294 Wo
{ "pile_set_name": "DM Mathematics" }
-182/3 + 60. Let r = 13.5 - -76.5. Let i = 78 - r. Which is the third biggest value? (a) m (b) 2/7 (c) i c Let t = -1726 + 1828.1. Let l = 102 - t. Suppose -3*c + 5*c + 3*m = -2, 2*c - 4*m - 12 = 0. What is the second biggest value in l, c, 1? 1 Let y = -0.85 - -7.87. Let l = 2.02 - y. Let q be (-35)/(-84) + 1/3. What is the third smallest value in q, l, -1/4, 1? q Let q = 10/99 - -365/1287. Let n = -14/65 - q. Which is the fourth biggest value? (a) 0.23 (b) -5 (c) 1/3 (d) n b Let g be (13 - 12)/(-85 - -2). What is the third smallest value in 2/11, -4/19, 0.4, g, 4/3? 2/11 Let x = 9.158 - 8.968. What is the third biggest value in x, 0.4, 3/10? x Suppose -44*q = -72 + 147 - 75. What is the third biggest value in 0.1, 0.033, -5/3, q, 7? 0.033 Let v = -436 + 445. Suppose 4*z = 8*z - v*z. What is the smallest value in -1, -0.5, z, 11? -1 Let i = 44/3 + -223/15. Let d = 82.94 - 83. Let o = 110 + -326/3. What is the third biggest value in o, 5, i, d? d Let p = -0.2942 - 0.0628. What is the smallest value in 0.4, p, -0.4? -0.4 Let z = -1 - -3. Let u = -461.637 + 465.637. Which is the smallest value? (a) z (b) u (c) -4/3 c Let r(y) = y**3 + 17*y**2 - 15*y + 55. Let g be r(-18). Let x = -69 + 68. Which is the third biggest value? (a) g (b) 7 (c) x c Let p(k) = -21*k - 88. Let d be p(-8). Let q be d/(-84) - (-16)/24. Which is the third smallest value? (a) -3/7 (b) q (c) -0.59 b Let s be (-2)/(-38) + (-3828)/(-22572). Which is the smallest value? (a) 0 (b) s (c) -1/2 c Let u = 18040 - 18041. Which is the fourth smallest value? (a) 2 (b) 357 (c) u (d) 1/7 b Let o = -382 + 383.73. Let a = o - 11.73. What is the third smallest value in 2, -3, a? 2 Let g = -1 + 0.5. Let w = 6/1165 - 2384/10485. Which is the third biggest value? (a) g (b) -3 (c) w (d) -0.1 a Let l = 161.39 + -162.39. Let h = -1 - -15. What is the biggest value in h, l, -2? h Let t be ((-143)/33)/(10/9 - 1). Let h be t + (1 - 1) + 3. Let g be (1/3)/(-5 - 150/h). What is the biggest value in g, -1, 1/6? 1/6 Let v = 6806 + -6802. Which is the smallest value? (a) 0.068 (b) 5 (c) v a Let u = 0.0093 + 56.2907. Let s = 56.43 - u. Which is the third biggest value? (a) 0.2 (b) -1 (c) s (d) 0 d Let o be (-1)/6*(20/(-120) - (-10)/(-12)). What is the third smallest value in -51, -3/8, o? o Let x = 605.49 + -600. Let v = 5.59 - x. Which is the third biggest value? (a) 3 (b) -0.01 (c) 0.4 (d) v d Let l(r) = 249*r - 2491. Let u be l(10). Which is the third smallest value? (a) 1 (b) 70 (c) u b Let f be (-27)/(-18) + (-237)/150. What is the smallest value in -98, f, -4? -98 Suppose 2328 = 4*j - 5*h, 1757 = 3*j + 32*h - 33*h. Let r = -584 + j. What is the smallest value in 0.3, r, 7, -0.1? -0.1 Let w = -2561.1 + 2561.1. Which is the third smallest value? (a) -1/3 (b) w (c) 49 c Let q = -3 + -12.02. Let y = -15 - q. Let m = -315 + 314.8. Which is the third smallest value? (a) y (b) m (c) -2 (d) 0.5 a Let r = 673 + -672.9844. Let m = r - 0.4156. Which is the third smallest value? (a) -2/15 (b) m (c) 4 (d) 2/7 d Suppose -3*z = z. Let a = 21373 + -21372.9. Suppose 5*o = -2 + 7. What is the biggest value in z, a, o, 0.7? o Let m = -2.09715 - -0.09715. Which is the fourth smallest value? (a) 11 (b) m (c) -57 (d) 3 a Let n be (7 - 563136/(-238)) + -2 + 96/51. Which is the smallest value? (a) n (b) -3 (c) 3/2 (d) 0 b Let x = 0.5704 - -0.4296. What is the biggest value in -14, -0.1, x? x Let j = -4775 + 28645/6. Which is the third smallest value? (a) 2/5 (b) -3/2 (c) 0.1 (d) -1 (e) j e Let n(h) = -h - 5. Let k(z) = 11*z + 289. Let l(u) = k(u) + 4*n(u). Let t be l(-38). Which is the smallest value? (a) 40 (b) 3/4 (c) t (d) -1 d Let s = 2/2011 + 4016/6033. What is the second biggest value in -0.5, 32, s, -1? s Let l be (6 + -3 - 1)/((-52)/1738). Let h = 67 + l. Let t = -0.06 - -0.21. Which is the second smallest value? (a) -3 (b) t (c) h b Let i = 109.3 - 195.15. Let g = -1.15 + i. Let q = g - -89. Which is the smallest value? (a) q (b) 15 (c) 5 a Let k = -2 - -6. Let v be 14*(6/4 - 2). Let g = k + v. What is the second biggest value in g, 5, -1/3? -1/3 Let t = 89 + -88.6. Suppose -3*k - 2*g = -137, -g - 51 = 2*k - 141. Suppose -3*z = -37 + k. Which is the fourth smallest value? (a) -10 (b) z (c) 2/9 (d) t d Let q = -36.25 + 33.25. Which is the second biggest value? (a) -0.2 (b) q (c) 2 (d) -1.66 (e) 3 c Let n(j) = -j**3 + 5*j**2 + 8*j - 16. Suppose -3*t + 60 = 42. Let d be n(t). What is the second smallest value in d, -2/33, 0.4, -1/5? -1/5 Let l be (-8)/(-20) + 1/(-5). Let a = -663.1 - -641. Let z = a + 22.1. What is the smallest value in z, l, 0.06? z Let r = -0.3 + 0.6. Let t = -4.6 - -5. Let h = -1427 - -1428. Which is the fourth biggest value? (a) t (b) h (c) -4 (d) r c Let j = -2 + 110. Suppose j*c - 110*c = -4. What is the second smallest value in -0.1, c, 3? c Let l = -5925.6 + 5926. Which is the fifth smallest value? (a) 0 (b) 5 (c) l (d) 1 (e) -0.045 b Suppose 4*j - 3*u + 4*u + 213 = 0, -3*j + 4*u = 155. Let h be (212/(-20))/(4/(-20)). Let m = j + h. What is the biggest value in 4, 1, m? 4 Let g = 7354 + -7353.5. What is the second smallest value in -2/7, 0, 2/5, -1/3, g? -2/7 Let g = -3108 - -3111. Which is the smallest value? (a) 2 (b) g (c) 16 a Let p = 4843063/172 + -28157. Let f be 2/6*144/516. Let n = f - p. Which is the second biggest value? (a) -2/19 (b) n (c) 4/9 (d) -2 a Let j = 139 + -141. Which is the biggest value? (a) j (b) -0.1 (c) 0 (d) 1/3 d Let k = -207 + 201. Let q(x) = -6*x**2 - 37*x - 2. Let f be q(k). Let n be (1/3)/(5/6). Which is the biggest value? (a) f (b) n (c) -0.06 a Let j = 9732 + -9730. Let z = -10 + 10. What is the third smallest value in 17, z, j? 17 Let v = -6108 + 6133. Which is the third biggest value? (a) 2/7 (b) -6 (c) v b Let q = 1410.98 - 1561.8. Let m = q + 151. What is the second biggest value in 2/9, -2, m? m Let s = -152 + -208. Let g = s - -356. What is the smallest value in g, -0.3, 0, 2/9? g Let w = -555 + 541.5. Let v = 0.3 + -12.3. Let g = w - v. Which is the biggest value? (a) -4 (b) 1/6 (c) g (d) 2/3 d Let v = 1778.2 + -1777. Suppose 2*f = -f + 93. Let w = f - 29. What is the smallest value in v, w, 0.3? 0.3 Let m = -58.28 - 345.72. Which is the third biggest value? (a) m (b) -2/7 (c) -0.1 a Suppose 3*l - 15 + 20 = -2*p, 3*l = 3*p. Which is the third biggest value? (a) 4 (b) -3 (c) -0.09 (d) l d Let x = 135.379 - 135.39. Which is the fourth biggest value? (a) -10 (b) -0.3 (c) -1/9 (d) 1/3 (e) x b Suppose 0 = -5*v - 5 - 10. Let p = 2445 + -2446. What is the second biggest value in p, v, 13? p Let y = 3569 + -3569.3. Which is the third biggest value? (a) y (b) 10 (c) 1/21 (d) 1/2 c Let t = 19 + -23. Suppose m = -2*m + 12. Let g be (-36)/40 + 2/m. Which is the smallest value? (a) g (b) -0.3 (c) t (d) 6 c Suppose 5*i = -3*t + 258, 4*i + 0*i = 3*t + 228. Suppose -365*k + 356*k - i = 0. What is the fourth biggest value in 0.4, -4, 1/2, k? k Let q = 106108/1267 - 6/181. Let n be 2*2 - 2 - -82. Let u = n - q. Which is the third biggest value? (a) -7 (b) 1 (c) u a Let n = 30.06557 - -0.04443. Let d = 2534 + -2564. Let i = n + d. What is the third biggest value in i, 1/3, 1/5? i Let d = -0.0125 - 41.9875. Let f = -42 - d. Let z(w) = -w**2 + 7*w + 10. Let b be z(8). What is the smallest value in b, 0.4, f, 0.7? f Let l = -0.3997 + -0.0003. Which is the second smallest value? (a) -2/9 (b) 2/27 (c) l a Let t = -0.803 - -0.31. Let o = t - -0.093. Which is the smallest value? (a) o (b) -3 (c) 0.06 b Let o be (60/325)/((-6)/(-80)). Let g = -3584/1287 + o. Let z = -6/11 - g. What is the third smallest value in -3/4, -4, z? z Let s be 389/2334 + 2/228*-139. What is the smallest value in s, 2, -0.3? s Let g = 1/11 - 14/33. Let n = -31 + 9.8. Let u = -116.2 - n. Which is the smallest value? (a) u (b) -2/7 (c) g a Let u = -2/18955 - 75814/56865. What is the biggest value in -19, 0, u? 0 Let i = 163 - 160. Let x be i/(-4*9/(-60)). Which is the third biggest value? (a) 0.4 (b) 53 (c) x (d) 2 d Let q = 0.2 + 7.8. Let d = 3.38039 - 0.38039. Which is the third smallest value? (a) 0.07 (b) q (c) d b Let k = -3752 - -15009/4. What
{ "pile_set_name": "DM Mathematics" }
- 5*q + v, 0 = -5*a + q - 30. What is x(a)? 18 Let c(h) = 3*h**2 - 2*h - 3. Suppose 5*n = -2*b + 8, 14*b + 4*n - 5 = 11*b. Determine c(b). 2 Let f(d) = 7*d**3 - 11*d**2 - 8*d + 7. Let a(q) = 6*q**3 - 10*q**2 - 8*q + 7. Let y(b) = 6*a(b) - 5*f(b). Let g be 9/((-1)/6*27/(-3)). Calculate y(g). -5 Let j be 2/4 + (-20)/8 - 13. Let d be ((-6)/(-15))/((2 - 3)/j). Let i(x) = -2*x + 6. What is i(d)? -6 Let g(f) = -f + 12. Suppose -36 = 7*z - 11*z. What is g(z)? 3 Let q(h) = -37*h + 105. Let u(p) = 12*p - 37. Let b(z) = 6*q(z) + 17*u(z). What is b(2)? -35 Suppose 0 = -14*k - 37 - 89. Let g(c) = -2*c - 9. Determine g(k). 9 Let b(w) be the third derivative of -w**6/120 - 2*w**5/15 - w**4/12 - w**3/3 - 4*w**2 + 91*w. What is b(-8)? 14 Let u(b) = -b**2 + 6*b. Let j = 76 - 71. Suppose 15 + 20 = j*m. What is u(m)? -7 Let u(k) be the first derivative of k**5/60 + k**4/12 + k**3/3 - 2*k**2 - 13. Let y(l) be the second derivative of u(l). Determine y(-2). 2 Let w be (-4)/(3 + -1) + 15. Let b(v) = -4 - w*v + 3*v + v**2 + v. Determine b(6). -22 Let b(u) = 2*u - 4. Let s(f) = -f. Let w(d) = -b(d) - 4*s(d). Suppose -11 = -5*q + 9. Determine w(q). 12 Let t(i) = i**2 - 6*i - 7. Let x be (-8)/6 + (-3 - 251/3). Let y = x + 95. Give t(y). 0 Let s(i) = i**3 - 12*i**2 + 2*i + 3. Let f(c) = -10*c**2 + 2*c + 3. Let d(l) = -5*f(l) + 4*s(l). Give d(-2). -23 Suppose -2*g + 4*g = 4*b - 2, 0 = 2*b + 2*g - 16. Let u = 21 - 10. Let c(a) = -10*a + 3*a + 3*a**2 + u*a - a**3 - 4. Determine c(b). 8 Let s(n) = -3*n - 135 + 73 + 51. What is s(-9)? 16 Let j(d) be the second derivative of -d**3/2 - 15*d**2/2 - 2*d + 65. What is j(-4)? -3 Let q(z) = z**3 - 2*z**2 - 4*z + 2. Let x be q(3). Suppose -12 = -o - 5*k, -2*o - 3*k = -5*o. Let r(i) = -3*i + 2*i**o + i - 5*i**2 + 0 - 1. Determine r(x). -2 Let z be 1/(3/(-2))*-9. Suppose q + 0 = z. Let p(v) = -13*v**2 + 7 - 12*v**2 - 4*v**2 + 30*v**2 - 2 - 6*v. Give p(q). 5 Suppose -38 = 9*a + 97. Let i = 13 + a. Let h(r) = -r**2 - 4 - 2 - 3*r + 3. Give h(i). -1 Let c(x) = 3*x**2 - 29*x + 53. Let d(q) = q**2 - 10*q + 17. Let b(k) = 2*c(k) - 7*d(k). What is b(10)? 7 Suppose -4*g + 4*u - 4 = 0, -6*u - 7 = -g - u. Let o(j) = j**3 + 4*j**2 - 5*j - 13. Let d(y) = -y**2 - y - 1. Let s(x) = g*d(x) + o(x). What is s(-7)? 4 Suppose 8*d + 90 = 194. Let h(v) = v**3 - 14*v**2 + 12*v + 16. Give h(d). 3 Let h(m) = m**2 - 2*m - 4. Let a(x) = 35*x**2 + 3*x - 1. Let c be a(1). Suppose -77 = -4*q - 5*k, q + k - c = -q. Let d = q + -14. Calculate h(d). 4 Let h(x) = 12*x**2 + 9*x + 38. Let v(c) = -17*c**2 - 14*c - 57. Let a(b) = -7*h(b) - 5*v(b). Give a(-5). 9 Let j(a) = a - 1. Let f(k) = k**2 + 4*k. Let c(u) = f(u) - 6*j(u). Let x be (6 + -5)/((-42)/24) + (-64)/(-14). Determine c(x). 14 Let p(h) be the first derivative of -h**3/3 - 7*h**2/2 - 6*h + 6. Calculate p(-5). 4 Let b(y) = 14*y - 11. Let o(i) = -3*i + 2. Let a(u) = 2*b(u) + 11*o(u). Let j(t) = -6*t. Let m be j(1). Let n = 5 + m. Calculate a(n). 5 Let h(n) = -13*n**2 + n. Let f(c) = -15*c**2 + c. Let d(m) = -6*f(m) + 7*h(m). Suppose 0 = -4*s + 2*s + 6. What is d(s)? -6 Let l(i) be the first derivative of -i**3/3 - i + 83. Calculate l(-3). -10 Let o(m) be the second derivative of -m**6/120 - m**5/10 + m**4/3 + 5*m**3/6 + m**2/2 - 4*m. Let g(n) be the first derivative of o(n). Give g(-7). -2 Let y(t) = -1. Suppose -h - 4*h - 75 = 0. Let p(g) = -3*g + 12. Let b(w) = h*y(w) - p(w). What is b(-2)? -3 Let l(c) = 2*c**3 - c**2 + 3*c - 2. Let g be (-1)/(11/(0 - 11)). Calculate l(g). 2 Let v(c) = c + 6. Let u(i) = -i - 3. Let b(k) = -5*u(k) - 4*v(k). Give b(8). -1 Let z(k) be the second derivative of -5*k**3/6 - 3*k**2/2 + k - 40. Suppose 0 = -2*u + 3*i + 1, 2*u = -4*i + i - 17. Determine z(u). 17 Suppose -3*f + 3*g = 34 - 10, -f + 5*g = 20. Let d(u) = -u + 12. What is d(f)? 17 Suppose 0 = h - 7 - 3. Suppose -h - 112 = 2*k - d, -3*d = -6. Let l be (-1 - 0)/((-15)/k). Let z(c) = -c**3 - 4*c**2 - 3*c - 5. What is z(l)? 7 Let s(a) = 22*a**3 + 6*a**2 + 10*a - 5. Let h(z) = 23*z**3 + 7*z**2 + 12*z - 6. Let v(w) = -6*h(w) + 7*s(w). Determine v(1). 15 Let i = -7 - -19. Let m be 20/8*i/15. Suppose 0 = -m*u + 1 + 3. Let x(w) = w**3 - w**2 - 3*w + 1. What is x(u)? -1 Let j(f) = -4*f - 4*f**2 - 16*f + f**3 + 23*f - 4. Give j(4). 8 Let x(i) = -17*i - 13*i + 25*i - i**2 + 1. Give x(-3). 7 Let z(d) = 0 + 35*d + 12*d**3 - 1 - 34*d. Let k(n) = n**2 + 8*n + 8. Let j be k(-8). Suppose 3*g = -5*t + j, -g + 2*t = -2*t + 3. Calculate z(g). 12 Suppose -108 + 33 = -3*v. Suppose -2*w = -31 - v. Suppose -4*f - w = -20. Let z(d) = 4*d + 1. Determine z(f). -7 Let s(r) be the first derivative of 9*r**2 - 3*r - 409. Give s(1). 15 Let h = 72 - 67. Suppose -2*b - 21 = -h*w, b - 12 = -9*w + 4*w. Let q(d) = -d**2 + d + 1. Give q(w). -5 Let u(x) be the first derivative of 3*x**2/2 + 7*x - 18. Determine u(-5). -8 Suppose 13*g - 7 = -20. Let f(u) be the first derivative of -u**5/4 + u**4/6 + u**3/6 + 2*u + 1. Let b(w) be the first derivative of f(w). Calculate b(g). 6 Let s = -871 + 869. Let d(w) be the first derivative of -w**3/3 - 3*w**2/2 - 3*w + 1. Determine d(s). -1 Suppose 67*c - 6 = 64*c. Let l(n) be the first derivative of -2*n - 1/2*n**c + 3. Give l(4). -6 Let p(c) = c**2 - 8*c + 9. Suppose -5*f + 19 - 9 = 0. Suppose -u = f*a - 14, 4*u = -0*u + 3*a + 23. Give p(u). 9 Suppose 3*l + i = 5*i + 41, l + i - 2 = 0. Let x(q) = 2 - 5*q**2 - l*q + 27*q**3 + 2 + 16*q - 28*q**3. Give x(-6). -14 Suppose 2*g + 16 = 2. Let m(b) = 348*b**2 + 2 - 349*b**2 + 65*b - 71*b. Determine m(g). -5 Suppose -5*a = 4*w - 51, 3*a - w = 17 - 0. Let u(p) = -5*p**2 + 5*p + a*p**3 + 2*p**2 - 3*p**2 - 6*p**3 + 3. Calculate u(4). -9 Let l(c) = c**2 - 3*c - 8. Let b be 6/(-8) - 2575/(-100). Suppose -b = -5*n + 5. Calculate l(n). 10 Let t(j) = 10*j - 5. Let a(n) = -16*n - 14*n - 6*n + 5*n + 14. Let r(i) = -4*a(i) - 11*t(i). Give r(-1). -15 Suppose -2*f + 10 = -2*c, -5*f + 2*f - 4*c = 6. Let v(z) = 8*z + 1. Let j(u) = 7*u + 1. Let b(l) = 6*j(l) - 5*v(l). What is b(f)? 5 Let h(g) = 5*g + 17. Let x be -6*(29/(-3) - -10). Give h(x). 7 Let y be 9 - (10 + (-11 - -3)). Let c(q) = -q**3 + 8*q**2 - 5*q - 7. Calculate c(y). 7 Let c(l) = -l + 2. Let m be c(4). Let g(x) = x**2 + 8*x + 6. Let s(d) = -6*d**2 - 41*d - 31. Let i(h) = m*s(h) - 11*g(h). Let p = 17 + -11. Calculate i(p). -4 Suppose -334 = 57*w - 1360. Let z(u) = -2*u + 34. Determine z(w). -2 Let r = 2335 - 2331. Let h(c) = c**2 - 7*c + 6. Give h(r). -6 Let n be (-3)/7 + 50/35. Suppose 0 = s + 4*y - 2, 0 = s + 2*y - 3 + n. Let t(a) = a + 2*a - 6*a + s*a - 1. Calculate t(-5). 4 Let l(x) = x + 3. Let w be l(3). Let b(g) = g + 1. Let r(f) = 5*f + 12. Let k(j) = w*b(j) - r(j). Determine k(-7). -13 Let a(f) = -4*f**3 - 15*f**2 + f + 5. Let y(s) = -3*s**3 - 10*s**2 + s + 4. Let x(d) = -5*a(d) + 7*y(d). Suppose 2*l - 2 - 8 = 0. What is x(l)? 13 Let o = 134 - 131. Let h(t) = o + 2*t + t + 3*t - 7*t. Give h(7). -4 Suppose 26 = -21*v + 19*v. Let h(x) = -x**3 - 4*x**2 + 3*x + 2. Let t be h(-4). Let k = t - v. Let z(u) = -u**2 + 3*u - 4. Give z(k). -4 Let c(u) = 2*u**3 + 14*u**2 - 12*u + 23. Let g be c(-8). Let z(i) = i**3 + 10*i**2 + 8*i - 6. Calculate z(g). 3 Let s be 7/((-14)/8) - -2. Let w(z) be the second derivative of z**3/3 + z**2/2 + 7*z. Calculate w(s). -3 Suppose -x + 6 = x. Let g(y) = 5 - 6 + 0 + 7 - 5*y - 2. Give g(x). -11 Let t(q) = 11*q - 12. Let m(u) = 21*u - 22. Let l(x) = -6*m(x) + 11*t(x). Determine l(-2). 10 Let d = -27 - -41. Let u(v) = 3*v - d - 2*v - 12 + 24. Give u(7). 5 Let x(y) = -y**2 + 6*y + 2. Let o be x(6). Let k(h) = 489*h + h**3 - 12 - o + h**2 - 490*h. Calculate k(0). -14 Suppose -5*x - 3*h = 44, -3*x = 3*h + h + 33. Let n(k) = k + 6. Let w(b) = -b - 6. Let z(s) = 2*n(s) + 3*w(s). What is z(x)? 1 Let z(f) be the third derivative of f**7/840 - f**6/360 + 7*f**3/3 + 21*f**2. Let a(o) be the first derivative of z(o). Give a(1). 0 Let a(p) = -251 + 252 - 9*p + 2*p**2 - 5*p**2 + 10*p**2 + p**3. Calculate a(-8). 9 Let c(i) = i**3 + 2*i**2 + 2*i - 4. Let d(v) = -2*v**3 - 4*v**2 - 4*v + 7. Let g(q) = -7*c(q) - 4*d(q). Let b = -9 - -7. What is g(b)? -4 Let j(q) = -8*q**3 - 57*q**2 - 26*q - 3. Let w(m) = 3*m**3 + 20*m**2 + 10*m + 1. Let h(o) = 4*j(o) + 11*w(o). What is h(8)? 47 Let h(o) = -2 - 9*o - 18 - 3*o. Let l(c) = -8
{ "pile_set_name": "DM Mathematics" }
ommon factor of 216 and 783. 27 What is the highest common divisor of 332 and 20? 4 Calculate the highest common divisor of 143 and 22. 11 What is the highest common divisor of 144 and 6096? 48 Calculate the highest common divisor of 38 and 380. 38 What is the highest common divisor of 16 and 9032? 8 What is the highest common divisor of 527 and 17? 17 Calculate the highest common divisor of 56 and 9072. 56 What is the greatest common divisor of 24 and 29208? 24 What is the greatest common divisor of 303 and 9797? 101 Calculate the highest common factor of 39 and 13182. 39 Calculate the highest common divisor of 51 and 12189. 51 What is the greatest common factor of 30017 and 13? 13 What is the highest common factor of 20234 and 453? 151 Calculate the greatest common divisor of 2028 and 576. 12 Calculate the greatest common divisor of 48 and 114. 6 Calculate the highest common factor of 108 and 1260. 36 What is the highest common divisor of 424 and 288? 8 Calculate the greatest common divisor of 29 and 27637. 29 What is the highest common factor of 24 and 1668? 12 Calculate the greatest common factor of 17089 and 23. 23 What is the highest common factor of 3 and 4? 1 What is the highest common divisor of 399 and 1425? 57 Calculate the greatest common divisor of 7807 and 259. 37 What is the greatest common factor of 3980 and 40? 20 What is the greatest common divisor of 252 and 52? 4 What is the greatest common factor of 980 and 20? 20 Calculate the greatest common divisor of 722 and 266. 38 What is the greatest common divisor of 708 and 21004? 236 Calculate the greatest common divisor of 11 and 539. 11 Calculate the highest common divisor of 6920 and 280. 40 What is the highest common divisor of 19 and 589? 19 What is the greatest common divisor of 90 and 54? 18 Calculate the highest common factor of 738 and 234. 18 What is the greatest common factor of 750 and 90? 30 Calculate the highest common divisor of 2587 and 559. 13 Calculate the highest common factor of 250 and 440. 10 Calculate the greatest common divisor of 256 and 16. 16 What is the greatest common factor of 15903 and 62? 31 Calculate the highest common divisor of 243 and 891. 81 What is the greatest common divisor of 7 and 21? 7 What is the highest common divisor of 160 and 20480? 160 What is the highest common divisor of 6 and 20? 2 What is the highest common divisor of 325 and 26? 13 Calculate the greatest common factor of 8 and 1. 1 Calculate the greatest common factor of 544 and 1360. 272 Calculate the greatest common factor of 3350 and 1072. 134 What is the greatest common divisor of 112 and 96? 16 What is the greatest common factor of 330 and 451? 11 What is the greatest common divisor of 375 and 105? 15 What is the greatest common divisor of 1028 and 4? 4 Calculate the highest common divisor of 583 and 159. 53 Calculate the highest common factor of 1521 and 819. 117 What is the greatest common divisor of 554 and 34? 2 Calculate the greatest common factor of 4216 and 68. 68 What is the greatest common factor of 100 and 75? 25 Calculate the highest common divisor of 2449 and 248. 31 Calculate the greatest common factor of 170 and 3264. 34 Calculate the greatest common divisor of 15 and 255. 15 What is the highest common divisor of 40 and 25? 5 What is the greatest common divisor of 26 and 650? 26 What is the highest common factor of 737 and 22? 11 What is the highest common factor of 112 and 4648? 56 Calculate the greatest common divisor of 169 and 39377. 169 What is the highest common divisor of 48 and 2? 2 Calculate the greatest common divisor of 13302 and 36. 18 What is the greatest common divisor of 280 and 448? 56 Calculate the highest common factor of 93 and 341. 31 Calculate the greatest common factor of 7378 and 714. 238 What is the greatest common divisor of 14396 and 488? 244 Calculate the highest common divisor of 96 and 664. 8 What is the greatest common divisor of 6726 and 177? 177 What is the highest common factor of 45 and 9? 9 What is the greatest common divisor of 56 and 728? 56 Calculate the greatest common divisor of 152 and 2375. 19 Calculate the highest common divisor of 15 and 40. 5 Calculate the greatest common divisor of 155 and 31. 31 Calculate the greatest common divisor of 4223 and 82. 41 What is the greatest common divisor of 174 and 522? 174 Calculate the greatest common divisor of 24876 and 72. 36 What is the highest common divisor of 166 and 1079? 83 Calculate the greatest common divisor of 3 and 128. 1 Calculate the highest common divisor of 56 and 6. 2 What is the highest common divisor of 288 and 112? 16 What is the highest common factor of 285 and 30? 15 Calculate the greatest common divisor of 456 and 24. 24 What is the greatest common divisor of 24 and 147? 3 Calculate the highest common factor of 24 and 8. 8 Calculate the highest common factor of 2534 and 14. 14 Calculate the greatest common divisor of 12833 and 41. 41 Calculate the greatest common divisor of 9478 and 14. 14 Calculate the highest common factor of 533 and 26. 13 What is the greatest common divisor of 459 and 27? 27 Calculate the greatest common factor of 2865 and 75. 15 Calculate the greatest common divisor of 28 and 294. 14 What is the greatest common factor of 782 and 23? 23 Calculate the greatest common divisor of 25 and 242. 1 What is the greatest common divisor of 21746 and 786? 262 Calculate the highest common divisor of 754 and 4234. 58 What is the greatest common divisor of 1212 and 12? 12 Calculate the greatest common factor of 2013 and 66. 33 What is the highest common divisor of 8 and 536? 8 What is the greatest common divisor of 392 and 49? 49 What is the highest common divisor of 7275 and 873? 291 Calculate the highest common divisor of 99 and 18. 9 Calculate the greatest common divisor of 5071 and 143. 11 What is the highest common factor of 405 and 16767? 81 What is the greatest common divisor of 104 and 676? 52 Calculate the greatest common factor of 130 and 40. 10 What is the highest common factor of 121 and 484? 121 Calculate the highest common factor of 6 and 946. 2 Calculate the highest common factor of 1001 and 33. 11 What is the highest common divisor of 312 and 64? 8 What is the greatest common divisor of 66 and 2046? 66 What is the greatest common factor of 1120 and 35? 35 Calculate the highest common divisor of 604 and 2567. 151 Calculate the highest common factor of 288 and 3936. 96 What is the greatest common divisor of 1472 and 115? 23 What is the highest common factor of 29 and 551? 29 What is the highest common divisor of 36 and 3036? 12 Calculate the highest common divisor of 5539 and 955. 191 Calculate the highest common divisor of 34 and 850. 34 What is the highest common factor of 4 and 15640? 4 What is the highest common divisor of 1485 and 770? 55 What is the greatest common factor of 196 and 1344? 28 Calculate the greatest common divisor of 85 and 391. 17 What is the greatest common factor of 152 and 2698? 38 What is the highest common factor of 19 and 570? 19 Calculate the highest common divisor of 3397 and 43. 43 What is the highest common factor of 32 and 36? 4 What is the greatest common factor of 41 and 656? 41 What is the highest common factor of 23 and 6394? 23 What is the greatest common factor of 1360 and 289? 17 Calculate the greatest common divisor of 12 and 132. 12 Calculate the highest common factor of 24 and 984. 24 Calculate the greatest common divisor of 25 and 2. 1 What is the highest common divisor of 413 and 14? 7 What is the highest common divisor of 192 and 336? 48 Calculate the greatest common divisor of 344 and 16. 8 What is the highest common factor of 1056 and 12? 12 Calculate the greatest common factor of 276 and 759. 69 What is the greatest common divisor of 2880 and 96? 96 Calculate the highest common factor of 21 and 162. 3 What is the greatest common factor of 370 and 2664? 74 What is the highest common factor of 38880 and 160? 160 Calculate the greatest common factor of 411 and 1507. 137 Calculate the greatest common factor of 60 and 108. 12 Calculate the greatest common divisor of 1749 and 231. 33 What is the highest common divisor of 189 and 7587? 27 What is the highest common divisor of 12 and 282?
{ "pile_set_name": "DM Mathematics" }
0 = -2*j + 6. Suppose 5*f - 80 = -5*o, 2*f - i = -2*f - 2*o. Calculate the remainder when (-154)/(-4) - (-2)/(-4) is divided by f. 12 Let t = -8 + 11. What is the remainder when t*118*4/24 is divided by 30? 29 Let o(i) = 2*i - 4. Let y(a) be the second derivative of 13*a**3/6 + a**2 + 2*a. Calculate the remainder when y(2) is divided by o(7). 8 Let z(y) = -7*y**3 + y**2 - y + 1. Let q be z(1). Let i(x) = 2*x**2 + 3*x + 2. What is the remainder when i(q) is divided by 19? 18 Let h(j) = -3*j - 2. Let w be h(-2). What is the remainder when 7 is divided by (2 - w) + 12/2? 3 Let u(o) = -5*o + 0 + 5 + o**2 + 0*o. What is the remainder when u(7) is divided by 7? 5 Suppose -4*n + 12 = -2*n. What is the remainder when 29 is divided by n? 5 Suppose 0 = 4*s - 3*s - 6. Suppose 0*n - 198 = -s*n. Calculate the remainder when 98 is divided by n. 32 Suppose 3*p - 3*t - 24 = 0, -3*t - 3 - 1 = p. Let r(n) = -n**3 + 9*n**2 - 2*n + 3. What is the remainder when r(p) is divided by 24? 21 Let v be (-1)/(-3) + 14/(-6). Suppose 0*z - 80 = -4*z. Calculate the remainder when (-4 + 2)*59/v is divided by z. 19 Let c(h) = -1 - 2 + h + 0 + 4*h**2 - h**3. What is the remainder when 17 is divided by c(3)? 8 Calculate the remainder when 81 is divided by (-8)/(-6)*126/14. 9 Let n be 1*(-3 - (-2 + 1)). What is the remainder when -2*(n + 76/(-8)) is divided by 8? 7 Suppose 2*k = 4*a + 18, 3*k - 6 - 12 = -3*a. What is the remainder when 18 is divided by k? 4 Let p = 6 - 3. Suppose 0*v = p*v - 66. What is the remainder when v is divided by 2 - (1 + -1*11)? 10 Suppose 6 = o - 8. Suppose -3*r + 9*h + o = 4*h, -5*r + 5*h + 20 = 0. What is the remainder when 11 is divided by r? 2 Suppose 5 = 4*n + 1. Let a be 3 + 5/((-15)/(-6)). Suppose a*l - 2 = 8. Calculate the remainder when l is divided by n. 0 Let f(y) = y**2 + 23*y + 4 - 23*y. Suppose 4*z = -1 + 25. Calculate the remainder when f(z) is divided by 14. 12 Suppose -5*v = -w - 4*w + 100, -3*w = -4*v - 60. Suppose 4*c = 4*g - 0*g - 28, 4*c = -w. What is the remainder when 6 is divided by g? 0 Suppose -5*u + 2*t + 141 = -64, 5*t + 25 = 0. Calculate the remainder when u is divided by 8. 7 Suppose 5*m + 4*f = 105, 4*m + 7 - 100 = -5*f. Calculate the remainder when 65 is divided by m. 14 Let s = 71 - 57. What is the remainder when 69 is divided by s? 13 Calculate the remainder when 19 is divided by -4*(-9)/36*4/1. 3 Suppose -3 = j + 1. Let v = j - -9. Suppose p + v*z + 0 = 3, 0 = 3*p - z - 25. Calculate the remainder when 31 is divided by p. 7 Let j(b) = -b - 4. Calculate the remainder when j(-6) is divided by 1 + 0/(2 - 3). 0 Let s(h) = 5*h**2 + h + 6. Calculate the remainder when s(3) is divided by 11. 10 Suppose -8*x = -45 - 3. What is the remainder when 14 is divided by x? 2 Let j(o) = o**3 - o**2 - o + 45. What is the remainder when 87 is divided by j(0)? 42 Suppose 0 = 2*l - 5*l + 60. Let a(s) = 15*s - 2. What is the remainder when a(4) is divided by l? 18 Suppose 2*i - d + 5*d = 6, -5*i + 3*d = 11. Let n(o) = 4*o**3 - o**2 + 1. Calculate the remainder when 3/12*(27 - i) is divided by n(1). 3 Let u(t) = -t**3 - 5*t**2 - 4. Let b be u(-4). Calculate the remainder when 15 is divided by (b/15)/(1/(-3)). 3 Suppose 12 = -6*v + 9*v. What is the remainder when (-1)/((v/(-13))/4) is divided by 4? 1 Let c = -53 - 23. Let z = -42 - c. What is the remainder when z is divided by 12? 10 Suppose -1 = -2*b + 35. Suppose d = 4*d + 45. Let l = d - -25. What is the remainder when b is divided by l? 8 Let l(z) = z**2 - 5*z + 2. Calculate the remainder when l(9) is divided by 13. 12 Let f(k) = k**2 - 2. Let a be f(2). Suppose -s + 2 = 3, -2*l - 2*s = a. Calculate the remainder when 6*((-6)/(-9) - l) is divided by 2. 0 Suppose 3*q - 5*p + 333 - 92 = 0, q = p - 77. Let s be q/16 - 1/2. Let b = 4 - s. What is the remainder when 25 is divided by b? 7 Let o(m) = 4*m + 3. Let g(w) = w + 1. Let a(k) = -3*g(k) + o(k). Let n(p) = -8*p + 1. What is the remainder when n(-1) is divided by a(5)? 4 Let g(u) = u + 24. What is the remainder when 47 is divided by g(0)? 23 Let c(i) = i**3 - 5*i**2 + 7*i. Suppose 23 = 5*b - 2. What is the remainder when c(b) is divided by -15*(0 + 4/(-5))? 11 Let j = 2 - 1. What is the remainder when 46 is divided by 4/(-8)*(-24)/j? 10 Let f = 1 - -2. Suppose -5*i = -3*s - 0*i + 5, -2*i + 19 = f*s. Suppose -s*r + 148 = -r. What is the remainder when r is divided by 13? 11 Suppose 47 = 4*a - 3*l, 6*l - 28 = -3*a + l. What is the remainder when 53 is divided by a? 9 Let j(m) = -m - 2. Suppose -10 = 3*o + 2*x, 0 = 3*o + x + 3 + 2. Let g be j(o). Calculate the remainder when (-1)/g + 57/6 is divided by 4. 2 Let u be -10 + -1 - 0/1. Let g = 10 + u. What is the remainder when 22 is divided by 9 + -1 + 1 + g? 6 Suppose 0 = 2*f - 5*f + 51. What is the remainder when 29 is divided by f? 12 Let p(o) = -o**2 + 14*o + 4. Calculate the remainder when 43 is divided by p(13). 9 Suppose 3*w = -4*r - 14, 2*r - 3 = w + 3*r. Suppose -w*b = 5*k - 141, -k + 60 = k - b. What is the remainder when k is divided by 15? 14 Let v(q) = -2*q + 5. Let h be v(6). Let z = -2 - h. What is the remainder when z is divided by 2? 1 Let k(y) = -y + 10. What is the remainder when k(-8) is divided by 7? 4 Suppose 0*x - 2*x = -24. What is the remainder when 70 is divided by x? 10 Let d(l) be the first derivative of -31*l**4/2 - l**2 - l - 4. Calculate the remainder when d(-1) is divided by 13. 11 Suppose k - 9*k + 1032 = 0. Calculate the remainder when k is divided by 26. 25 Calculate the remainder when 232 is divided by (-10)/6 + 1079/39. 24 Suppose -2*j = -3*j - 37. Let r = j - -140. Calculate the remainder when r is divided by 26. 25 Suppose 2*a = 2 + 6. Suppose 0 = a*x - 9*x + 135. What is the remainder when x is divided by 15? 12 Let p(f) = f**3 + f**2 - 3*f + 16. Calculate the remainder when p(0) is divided by 5. 1 Let b be 29/(2/(-2))*2. Let u = 103 + b. Suppose -5*i + u = -0*i. Calculate the remainder when 17 is divided by i. 8 Let l(i) = 11*i - 7. Let g be l(-10). Let p = -82 - g. Calculate the remainder when p is divided by 9. 8 Let w = 64 + -39. What is the remainder when w is divided by 9? 7 Suppose -f = 5*i + 8 - 2, 2*i - 4*f + 20 = 0. Let n = -8 + 30. Let h = n - i. What is the remainder when h is divided by 13? 11 Let o(k) be the first derivative of 8*k**3/3 + 3*k**2/2 + 2. Calculate the remainder when o(-2) is divided by 14. 12 Suppose -53 = -2*b - 21. Calculate the remainder when b - (3 + -3)/(-4) is divided by 9. 7 What is the remainder when 17 is divided by (-21)/(-5) + 3/(-15)? 1 Let x = -33 - -30. Calculate the remainder when (1 + x)/((-8)/392) is divided by 25. 23 Suppose -6 = -2*a - 2. Suppose -5*z + 115 = -a*x, 5*x + 88 = 2*z + z. What is the remainder when z is divided by 11? 10 Let x = 19 + -13. Let s(n) = n**3 - 10*n**2 + 11*n + 4. Calculate the remainder when s(9) is divided by x. 4 Let p = -7 + 22. Suppose 3*x - 113 = -4*g, g - 5*x = 30 + 4. Calculate the remainder when g is divided by p. 14 Let k = 19 - 2. Let x = 25 - k. What is the remainder when 13 is divided by x? 5 Let s be (-2)/12 - 7/(-42). Suppose 4*c + 4 = -s*c, -2*c + 54 = 4*z. What is the remainder when 25 is divided by z? 11 Let a(l) = l**2 + 2*l - 2. Let n be a(-4). Suppose 4*y + 58 = n*y. What is the remainder when y is divided by 10? 9 Let j(i) = i**2 + 10*i + 71. Calculate the remainder when j(-7) is divided by 13. 11 Let h(t) = -t**3 - 11*t**2 + 3*t - 26. What is the remainder when h(-12) is divided by 17? 14 Let r = -4 - -53. Let d(i) = i**3 + 6*i**2 - 3*i - 1. What is the remainder when r is divided by d(-6)? 15 Let y = 12 + -2. Let s = 21 - 15. Suppose -g + s = -23. Calculate the remainder when g is divided by y. 9 Calculate the remainder when (-6)/(-42) - 894/(-14) is divided by 17. 13 Let j(q) = 2*q**2 + 3*q - 2. Calculate the remainder when j(-3) is divided by 3. 1 Let a = -4 - -2. What is the remainder when a/7 + 396/14 is divided by 15? 13 Let o = -16 + 94. Suppose v - 2 - 12 = -c, -5*c - v = -o. Calculate the remainder when c is divided by 1/((-3)/27)*(-20)/30. 4 Let k(a) = 3*a - 7*a + 4*a**2 - 2*a**2 + a. Calculate the remainder when 16 is divided by k(3). 7 Suppose -3*p = -f + 29, -2*p + 72 = 5*f - 39. What is the remainder when 87 is divided by f? 18 Let d(c) be
{ "pile_set_name": "DM Mathematics" }
is 3 - -452323500? 452323503 In base 8, what is -115 + 45063566? 45063451 In base 12, what is b4 - -48928? 48a20 In base 13, what is -747418 + -5? -747420 In base 3, what is -222100 - -200220020? 122220220 In base 10, what is 3639146 - 2? 3639144 In base 8, what is -25416 - 145? -25563 In base 7, what is 1265 - 1566? -301 In base 8, what is -46 - 4162630? -4162676 In base 3, what is 11210210222101 + -222? 11210210221102 In base 14, what is -8486d7 + 1d? -8486b8 In base 2, what is 111010010 - 1010101111101000001? -1010101110101101111 In base 5, what is -2 + 1221110342? 1221110340 In base 4, what is 313201312302 + -12? 313201312230 In base 7, what is -535 + -1324040? -1324605 In base 2, what is 111 + 11010010000001010001? 11010010000001011000 In base 5, what is -3 - -1222333243? 1222333240 In base 11, what is -4 + -a958484? -a958488 In base 6, what is -135 - 25430335? -25430514 In base 7, what is -2 - -400422403? 400422401 In base 13, what is 5a76a1aa + -2? 5a76a1a8 In base 3, what is -202112210020 - -1200? -202112201120 In base 3, what is 10220111110201022 - -12? 10220111110201111 In base 10, what is 999 + -63900? -62901 In base 7, what is -2214433 + -632? -2215365 In base 8, what is 1 + -212303761? -212303760 In base 7, what is -131163 - -244? -130616 In base 4, what is -20110 + 2103322? 2023212 In base 8, what is 37 - -355627? 355666 In base 4, what is 31020 - -10002? 101022 In base 15, what is 3eb - -371b? 3b17 In base 6, what is -15004134223 + 2? -15004134221 In base 16, what is b - -69cf17? 69cf22 In base 11, what is -3464aa88 - -2? -3464aa86 In base 2, what is 11 - 1001011101110110001010101110? -1001011101110110001010101011 In base 9, what is 15855 + -23504? -6538 In base 5, what is 3303002401 + -2? 3303002344 In base 7, what is -403654 - -13? -403641 In base 7, what is -521 + -21656653? -21660504 In base 5, what is -203004 + 42141? -110313 In base 2, what is 1011100111011 + -1010001010101? 1011100110 In base 3, what is -100010122002 + 102021? -100010012211 In base 6, what is -12 - -124432122? 124432110 In base 7, what is -335636 + -4560? -343526 In base 12, what is -7 + 672b0? 672a5 In base 2, what is 111000110101 - -111001101? 1000000000010 In base 7, what is 341125151 - 14? 341125134 In base 16, what is -1197 + -a1? -1238 In base 3, what is 1200211 - -220002002211? 220010210122 In base 6, what is -2 + -3533451? -3533453 In base 9, what is -581672 + -22? -581704 In base 13, what is 185918 - -10? 185928 In base 10, what is -5831 - -107? -5724 In base 12, what is -12 + 4227a6? 422794 In base 6, what is -213 + 11401420? 11401203 In base 10, what is -1151 + -555373? -556524 In base 12, what is -615560 + 1? -61555b In base 5, what is 10 + -313114032411? -313114032401 In base 5, what is 341231 - 201233? 134443 In base 9, what is -2406356 + -5? -2406362 In base 3, what is -1200 + -11212200202202? -11212200211102 In base 12, what is 10b73 - 507b? 7ab4 In base 13, what is 1 + 3b96b053? 3b96b054 In base 16, what is -2100c2 - 2? -2100c4 In base 15, what is 0 - dd80a4a? -dd80a4a In base 5, what is -43234 + 240124? 141340 In base 3, what is -1002111212220012 - -100? -1002111212212212 In base 7, what is -43132642 - -3? -43132636 In base 2, what is 1000011111 - -1101010111011? 1110011011010 In base 11, what is -102124 + 38? -102097 In base 11, what is 10734 - -10508? 21141 In base 13, what is 2 + 148114b? 1481150 In base 8, what is 252031 - 1525? 250304 In base 10, what is -35023 - 1372? -36395 In base 12, what is 1b5440225 + 5? 1b544022a In base 7, what is -5634143 - 101? -5634244 In base 7, what is 1306 + -532014? -530405 In base 15, what is 7 - -21aadab? 21aadb3 In base 10, what is 198999 - -42? 199041 In base 14, what is 2 + c8d27a? c8d27c In base 6, what is -12 + 4340143214? 4340143202 In base 7, what is 1332 + -134122? -132460 In base 2, what is -101 - 10011011001110110010111? -10011011001110110011100 In base 12, what is -21a95 - 29? -21b02 In base 10, what is 29285 - -52? 29337 In base 13, what is 1398bc277 - -4? 1398bc27b In base 10, what is -1 + -1950115? -1950116 In base 13, what is -7 - 2c3759? -2c3763 In base 8, what is -451601 - 1204? -453005 In base 4, what is -1110320 - -132023? -312231 In base 4, what is 22112112110023 - -2? 22112112110031 In base 12, what is -64163785 - -1? -64163784 In base 7, what is 1115 + 3136233? 3140351 In base 7, what is -12 + -202443413? -202443425 In base 3, what is -12220 - 1022200120210? -1022200210200 In base 15, what is -b0 + 2840? 2780 In base 15, what is 16422 - 78? 16399 In base 16, what is 3d - -245969? 2459a6 In base 15, what is -7623dc - -e? -7623cd In base 10, what is 90900 - -607? 91507 In base 12, what is 35b07 - -154? 3605b In base 2, what is 100 + -10000111000011100111110000110? -10000111000011100111110000010 In base 11, what is 0 - 59864422? -59864422 In base 15, what is -576 + -391b? -3e92 In base 13, what is 78218 + -2? 78216 In base 11, what is a0 - -67777? 67867 In base 5, what is 113 - -4311431342? 4311432010 In base 15, what is -1 - -78b4c3? 78b4c2 In base 9, what is -53601 + -46682? -111383 In base 14, what is -102c - 2cd? -131b In base 3, what is 201111200020 - -10011? 201111210101 In base 7, what is 10043 - -104106? 114152 In base 12, what is 225a56 - -8? 225a62 In base 16, what is b5 - 5fd5f? -5fcaa In base 4, what is -1011 - -22220233? 22213222 In base 11, what is 1 - -52440601? 52440602 In base 14, what is -1 - -3b547a? 3b5479 In base 8, what is 123701 - 13453? 110226 In base 13, what is -881464 - -11? -881453 In base 3, what is -222 + -210112022111? -210112100110 In base 4, what is 131 + -13132101? -13131310 In base 16, what is 8ca + 4951? 521b In base 5, what is 22122413 - -10? 22122423 In base 16, what is -310 + -9d? -3ad In base 7, what is 3 - 411130103? -411130100 In base 3, what is 120 + -1001000102221? -1001000102101 In base 9, what is -3212 - 271071? -274283 In base 12, what is 488 + -11748b? -117003 In base 5, what is -122 - 322022132? -322022304 In base 15, what is 1 + 52c5c84? 52c5c85 In base 10, what is 132330 - 32? 132298 In base 4, what is -11 + -1230130212220? -1230130212231 In base 11, what is -347673 - 521? -348094 In base 9, what is 885324 + 58? 885383 In base 2, what is 11 - 10101111011101110111101? -10101111011101110111010 In base 5, what is -31424 - 2031132? -2113111 In base 8, what is -34 + 72341321? 72341265 In base 7, what is -2561 - 6621? -12512 In base 2, what is 1 + -101001110101000111011? -101001110101000111010 In base 6, what is 10 + 4543043154? 4543043204 In base 13, what is 5 + -7c02ab2? -7c02aaa In base 10, what is -4 + 51359066? 51359062 In base 15, what is -210a + -43? -214d In base 3, what is 2212102200012 + -12? 2212102200000 In base 3, what is -20011022111002 + 22? -20011022110210 In base 16, what is 1a + 2a0f9? 2a113 In base 12, what is -4 + 4908163? 490815b In base 12, what is 322b6793 + 1? 322b6794 In base 11, what is -285a8a + -18? -285aa7 In base 11, what is -a4526 - 138? -a4663 In base 9, what is -4 - 10247608? -10247613 In base 4, what is 31211012222 + 3? 31211012231 In base 8, what is 3 + -137171046? -137171043 In base 14, what is c80d0a5 + 5? c80d0aa In base 16, what is -5168c - b? -51697 In base 5, what is -2142 - 10423021? -10430213 In base 5, what is -114103324 + 4? -114103320 In base 12, what is -19369 + -2681? -1ba2a In base 14, what is -2 - -32385d? 32385b In base 2, what is -10111011 + 1100010010101111? 1100001111110100 In base 8, what is -421166 - -33? -421133 In base 13, what is cb72a - -492? cbbbc In base 13, what is 7a0 - 1696? -bc6 In base 9, what is 8 + 2175117? 2175126 In base 3, what is -1100 + -11011100111001? -11011100112101 In base 16, what is 1a2 + 8ee2? 9084 In base 15, what is 0 + -10e8ec3? -10e8ec3 In base 6, what is 154 - -21122255? 21122453 In base 6, what is 2251145142 + 3? 2251145145 In base 10, what is -96231172 + -1? -96231173 In base 2, what is -101101100 + -10000101011111101? -10000110001101001 In base 16, what is 6fae - 109? 6ea5 In base 10, what is -254593 + -8? -254601 In base 14, what is 4a + c1837? c1883 In base 14, what is 4289c967 + -4? 4289c963 In base 13, what is 1ca49 + -3413? 19636 In base 11, what is -44a - -776? 327 In base 4, what is -101033 + -1030030? -1131123 In base 8, what is 601 + -
{ "pile_set_name": "DM Mathematics" }
-0.29 - 0.71. Which is bigger: i or -17? i Let k(j) = 3*j**2 - j. Let i be k(1). Let n be i - (-2 - -3)*9. Which is bigger: -1/4 or n? -1/4 Let f = -47/184 - -3/23. Suppose -1 - 3 = -4*t. Is f < t? True Let w = -9 - -4. Let x = -12 - -21. Let l = -10 + x. Which is smaller: l or w? w Let l be 4/(-2) - 320/(-162). Which is smaller: l or 0? l Let w = -12 - -82/7. Let h be -1 - -1 - (-30)/5. Let u be h/21 + (-24)/35. Is w at most as big as u? False Let d(v) = -v + 15. Let g be d(11). Let p be ((-3)/(-2))/(g/8). Suppose 0*c - 2*f = 3*c - 19, 2*c - 5*f + 19 = 0. Is c < p? False Let b = -10607/5 + 2113. Is b <= -9? False Suppose -n - 3*f = 27, 0*n + 3*n + 5*f + 61 = 0. Let v be 9/(-12)*(-4)/n. Is 1/4 less than v? False Let y = -25.04 - -22. Let h = y - -0.04. Which is smaller: h or 1? h Suppose 0*n - 24 = -6*n. Suppose -3*g - 30 = -t - t, -n*t = 12. Is -11 > g? True Let g = -0.9 - 0.1. Suppose 4*j - 4 - 4 = 0. Suppose -2*o = -j - 2. Which is smaller: g or o? g Let x be -3 - 2/(-6)*403. Let m = 127 - x. Which is smaller: -4 or m? m Let a = 232/187 + -18/17. Suppose -2*m - 5 = -4*d + m, -4*d - 5*m = -45. Suppose 3*q = 5*t - 7, 0 = d*t - 5*q - 0*q - 15. Which is smaller: a or t? t Suppose 0 = p - 6*p. Suppose 27 = -5*m + 7. Is p at most m? False Suppose 0 = -l - 4*n - 11, 3*l + 4*n = n - 6. Is l greater than 3/11? True Suppose 2*p + w = 2322, 3*p - 2*w + 0*w - 3490 = 0. Let f = 3361/3 - p. Let t = -491/12 - f. Which is smaller: 2 or t? t Let w = -5 - 12. Let h = -9 - w. Let n be 2/(-6)*h/12. Which is smaller: n or -1? -1 Let y(d) = -d + 27. Let x be y(26). Which is smaller: x or -1/49? -1/49 Let m be 0*(40/(-15) + 3). Are m and -2/679 equal? False Let p = -54 + 109. Let m be p/(-60) + (-2)/(-3). Is m at most 1? True Let l(s) = -s**3 + 6*s**2 + s - 6. Let b be l(6). Let n be (-349)/(-3) + (-1)/3. Let u = -1046/9 + n. Is u bigger than b? False Let b = -0.9 - -0.7. Which is greater: 0 or b? 0 Let z = 2 + -2. Suppose b + b = z. Which is bigger: -0.1 or b? b Let x = -54 + 29. Let l = x + 17. Let f be 14/(-8) - (-2)/l. Is f bigger than -2? False Let i = -10 + 12. Let p = 2/125 - -371/250. Which is bigger: i or p? i Let w be 2/(-5) + 91/(-35). Let k be w/(-6)*(-1 - -3). Which is smaller: 0.06 or k? 0.06 Let l = 81.9 + -82. Is l at least 0.56? False Let f(x) = -7*x + 13. Let d(b) = 3*b - 7. Let a(o) = 9*d(o) + 4*f(o). Let w be a(-7). Are w and -4 equal? True Suppose s - 2 = -0*s. Let l be (1 + 0)/2*s. Which is bigger: 1/9 or l? l Let c = -20 + 58/3. Let a = -23.3 - -30. Let q = 7 - a. Which is smaller: q or c? c Let t = 4.18 + -4. Let g = t + -0.08. Let b = 127/3 + -883/21. Is g smaller than b? True Let i = 62 - 45. Is i at least as big as 16? True Let i = -108 + 106. Is -1 >= i? True Let z be 18/(-72) - (-53)/180. Does z = 0? False Let u be 1/1*(1 - 0). Let s(l) = -l**3 + l - 1. Let t be s(u). Let i be (0 - t)*(-2)/4. Does i = 0? False Let p be 2 - 3/(-6)*(-110)/33. Suppose 4*r = -r - 5*b, -r + 3*b + 4 = 0. Do r and p have different values? True Let r = -3588/17 - -211. Which is smaller: r or 0? r Suppose 0 = 4*w - 3*n - 19, 4*w + 19 = 5*n + 48. Let p be (1 - -2)*w/(-7). Suppose 2*b = 4*b. Which is bigger: b or p? b Suppose 5*n = -0*n + 25. Suppose 4*w = -j - j - 4, n*j + 10 = 2*w. Which is greater: 0 or j? 0 Let y = 5 - 4.6. Let u = -1.4 + 0.8. Let f = y + u. Is 0.1 greater than f? True Let z = 119 + -112. Are 2 and z non-equal? True Let l = -7 + 3. Let r = l - -3. Let f be -1 + (-3)/9*-1. Is r less than or equal to f? True Let x be 3 + 0 - (-1 - -1). Is x smaller than 5? True Let t be -1*0/(-1)*-1. Let l = -4/97 + -376/291. Is l greater than t? False Suppose 9*l = 14*l. Let a(u) = 2*u**3 + u**2 + u + 1. Let h be a(-1). Which is smaller: l or h? h Suppose -3*b = 3*b + 6. Which is bigger: -15/7 or b? b Let y be 5/((-2)/2 + 3 + -1). Let u(h) = h**3 + 6*h**2 - 3*h - 9. Let l be u(-6). Suppose 0 = -3*v - 2*t + 16, 2*v + t = 1 + l. Which is greater: v or y? y Let v = 63 - 55. Is v not equal to 3? True Suppose -2*n - 1 - 9 = 0. Is -5 greater than n? False Let s = -257/2 - -131. Let m = -2 + 2.1. Which is greater: s or m? s Let t(c) = c**3 + c**2 - c + 1. Let h be t(-2). Let r be (-6 - 0)*1*1. Let y be (2/(-4))/(21/r). Is h > y? False Let i = -6 - -18. Let x = 12.1 - i. Let h = 967/9 - 107. Is h at most x? False Suppose 3*c + 3*n - 24 = 0, -4*c = -5*n + 3*n - 8. Which is smaller: 9 or c? c Let n = -256/435 - 1/87. Which is smaller: -1 or n? -1 Let z = 24690 + -1086441/44. Let o = z + 7/4. Which is bigger: o or -1? o Let x be -2 + (3 - -1 - 1). Which is greater: 4/23 or x? x Suppose 0 = -i - 0*i. Let c(f) = -f - 6. Let m be c(-7). Is m less than or equal to i? False Let q be 4/(-5)*(-5)/1. Suppose 6 = 3*c - 0*z - 3*z, 2*c + 2*z - 8 = 0. Which is greater: c or q? q Let x = 3 + -3. Suppose h - 1 = -x*h. Do h and 1 have the same value? True Suppose -a - 3 = -d, d + 2 = -4*a - 5. Let j = 1 - 1. Which is smaller: d or j? j Let a be (4/(-18) + (-13)/(-18))*-2. Which is smaller: -28/13 or a? -28/13 Suppose -5*x + 0*x - 3*f + 74 = 0, -4*x + 5*f = -74. Let c = x + -9. Is c at most as big as 7? True Let p = -10.2 - -9.2. Is p < 3/13? True Let p = 0.2 + -0.2. Let z(j) = -j**3 + 2*j**2 + 2*j + 4. Let o be z(3). Let m be ((-2)/6)/(o/(-2)). Is p less than m? True Let l = -16 - -5. Which is smaller: -2 or l? l Let w be (-4)/10 - (-2)/30. Let d = -3 + 3.5. Let u = d - 1.5. Which is smaller: u or w? u Let p(i) = 9*i**2 + 2*i + 2. Let s be p(-1). Let b = -20 + 29. Is s less than b? False Let g = 0.9 - 0.3. Is -1/2 <= g? True Let o = -0.1 - 5.9. Let s = o + 5.5. Which is smaller: s or 0? s Suppose -5*x + x + 12 = 0. Let m be ((-24)/(-180))/(6/81). Which is greater: x or m? x Let n = 12 - 11. Which is greater: 4 or n? 4 Suppose 4 = -j, -6 = 2*m - j - 4. Let o be m + 2 - (-2)/2. Is 2/7 less than or equal to o? False Let r be (77/(-28))/(1/4). Let k = r + 3. Suppose -4 = -f - 13. Which is bigger: f or k? k Let u be (52/91)/((-4)/(-14)). Which is smaller: u or 3? u Let a = 0.2 - 0.3. Let q = 0 + a. Let m = 29 + -31. Which is smaller: m or q? m Suppose -22 = -3*o + 5*o. Is o less than -12? False Let a = -6.81 + -0.19. Is 0.1 at least as big as a? True Let a be (-9 - -4)/(1/9). Let p be (16/(-20))/((-6)/a). Which is greater: p or -4? -4 Let a = 14 + -6. Which is bigger: 9 or a? 9 Let c be 1*0*(-1)/2. Let v be c - ((2 - 2) + -2). Let n = 19/3 - 17/3. Which is smaller: v or n? n Let w = -5.8 - 1.2. Let s = -6.9 - w. Which is greater: s or -2? s Let n be 2/(-9) + 5/9. Is n less than 2/11? False Let v = -3 - -8. Suppose m = -m + 4*c, v*m + 3*c + 13 = 0. Let p be (-2 + 1)/(m/(-6)). Is -2 > p? True Let h(c) = 4*c**3 - 2*c**2 + 1. Let w be h(1). Suppose 18 - 3 = w*u. Let p be (-14)/(-10) - 2/u. Which is smaller: p or -1/3? -1/3 Suppose -3*a + 19 = 5*i, -2*a - 9 = -3*i + 10. Let f(p) = 2*p. Let u be f(3). Let g(h) = h. Let s be g(u). Which is smaller: i or s? i Suppose -v = -4*i - 20, 5*v + 3*i + 10 = i. Suppose v = 2*k + 4*k + 18. Do -5 and k have the same value? False Suppose 2*p - 53 = -6*f + 3*f, 5*p - 124 = f. Does p = 24? False Let c = 1 + -1. Suppose -p + 1 = -c. Let t be (4/(-6))/(0 + 2). Which is greater: t or p? p Let a be 58 + 3 + -1 + -5. Is a bigger than 53? True Let i be 2/((-2)/((-2)/(-3))). Let z = 22 + -22. Is z at most i? False Let m = -1 + 1. Suppose 13 = -4*b - 3*w, 16 = -3*b + 2*b - 5*w. Which is smaller: m or b? b Let u = 0.32 - 0.06. Which is bigger: -2/7 or u? u Suppose -3*p + 24 = -0*p. Let z be 1 - (10/p)/1. Suppose 8 = 2*s - 4*n, 3*n + 3 = 3*s - 0. Is s smaller than z? True Let t = -0.13 - 38.87. Is -3/5 <= t? False Suppose 0 = 7*k - 3*k - 4. Let n be k/(-3) + 28/21. Is n > 1/6? True Suppose -z - 5*w - 8 = -w, -3*z - 5*w = 45. Is z at least -20? True Suppose -3*p + 17 = -10. Is p not equal to 8? True Suppose 0 = 3*r + 16 - 85. Let i = r - 22. Which is greater: -5 or i? i Let c be (7/(35/2))/5. Is 1 smaller than c? False Let r = -2 + 4. Let o = -0.6 - -0.6. Let p = o + 0.1. Which is smaller: p or r? p Let u(y) = y - 5. Let i be u(-5). Is -10 greater than i? False Suppose 6*k + p = 4*k + 2, 5*k - 3*p = 16. Suppose -k*c + 5 + 1 = 0. Suppose -c*g = -5*g. Is g greater than 1? False Suppose -5*y - 5*m + 35 = 0, -y = -0*y + 3*m - 15. Which is smaller: 0 or y? 0 Let x = -15 +
{ "pile_set_name": "DM Mathematics" }
= -0.109 - -4.109. Let i = -222 + 1551/7. Let s = 15248/9 + -1694. Which is the fourth biggest value? (a) h (b) 0.4 (c) i (d) s c Let q = -3.97494 - 0.02506. What is the third biggest value in q, 4, 5/8, 0.2? 0.2 Let b = -123 + 144. Let o = 0.286 - 3.286. What is the second smallest value in 4, o, b? 4 Suppose 8*g - 6*g = -2*z + 54, g + 1 = 0. Let k be ((-105)/z)/(15/(-10)). Which is the second smallest value? (a) k (b) 1.3 (c) 2 c Suppose 5*h = -2*a + 155, 2*h + 0*h + 5*a - 83 = 0. Let q = h - 33. Suppose -p + 21 = 22. What is the third smallest value in 3, 0, p, q? 0 Let r = 11/316 - -577/1580. What is the fourth biggest value in -0.2, r, -4.8, -2? -4.8 Let v be 0 + 1 + 18/(-21). Let w = -1.226 + 1.026. Which is the smallest value? (a) v (b) -0.4 (c) 1.3 (d) w b Let r(n) = 13*n**2 - 7*n + 2. Let z be r(2). Let g be 4/z*5 - (-93)/(-162). Which is the second smallest value? (a) -2/11 (b) 0.2 (c) g c Let t be (-2)/7 + 582/(-21). Let o be (-21)/(-24)*8/t. Let y = -4 + 14. What is the third smallest value in y, -3, o, -2/3? o Let t be (-3 - -52)/(-7) + (10 - 3). Which is the second smallest value? (a) t (b) -8.1 (c) -1 c Let x = -211.7 + 215.7. What is the smallest value in -2810/9, x, -2? -2810/9 Let t = -22.18 - -24.18. Let r = -1.71 + 1.71. Which is the fourth biggest value? (a) r (b) 4 (c) t (d) -33 d Let a = -10 - -6. Let s = 1.61 + -2.61. What is the second biggest value in a, s, 0.2, -3/2? s Let m = 10384/5 + -2070. Let d = m - 6. Let u = d + -21/20. What is the smallest value in -5, -2, -4, u? -5 Let w be (78/(-19) - 380/(-3610))/(4/(-2)). Which is the second smallest value? (a) -2 (b) 1 (c) 193 (d) -0.2 (e) w d Let f = 152.54 - 1.54. Let k = f + -156. Let h = -1 + 1.5. Which is the second smallest value? (a) h (b) -2/15 (c) k b Let i = -0.68504 + 0.28504. What is the fourth biggest value in 3/2, i, -11/34, -0.3? i Let f = -223 + 227. Let k be 3/(6/f) + (-1 - 6). Which is the smallest value? (a) k (b) 0.4 (c) 0 a Let u be 5/(-4) - 3/12. Let h = -13.943 + 12.743. What is the second smallest value in 2, h, u? h Let u = -105.2 + 135. Let w = u + -24.8. Let j = 14.8 + -16. Which is the second smallest value? (a) 5/4 (b) j (c) w a Let q = -236910/17 + 13936. What is the second biggest value in 3/23, -2/9, q, -181? q Suppose -3*g + 2*w + 0*w = 1, 3*g + 3*w = -21. Let o = -6354/7 + 908. What is the smallest value in o, -6, g? -6 Suppose 361*p - t + 19 = 366*p, 4*t = -2*p + 40. Let n = -2 + 2.02. What is the biggest value in n, p, 0.4, 2/3? p Let n be (1/5)/((-4)/12). Let k = 4.3 + -210.3. Let c = k - -206. What is the fourth smallest value in c, 3, n, 0.5? 3 Let v(z) be the first derivative of 2/3*z**3 - 3/2*z**2 - 7 + 4*z - 1/4*z**4. Let r be v(2). Which is the biggest value? (a) r (b) 2 (c) -3 b Let d be ((-4486)/(-14))/(4 - 3). Let v = d - 321. Let a = 26526 - 132628/5. What is the second biggest value in v, a, 1, -2/3? a Let v = -12436 - -12472. Which is the second smallest value? (a) -1 (b) -0.5 (c) 6 (d) v b Let n = -6491/1732 + -1/433. Let o = 69058 - 69063. Which is the fourth biggest value? (a) n (b) 1/3 (c) o (d) -2 c Let y = -0.05 + 0.08. Let l = 82543 + -82542.9. What is the biggest value in y, 0, l? l Let i = -349 + -54. Let p = -412 - i. Which is the fourth smallest value? (a) p (b) -2/7 (c) -0.3 (d) 0.5 d Let g = -223.16 - -217. Let q = -5.5 - g. Let y = -0.76 + q. Which is the third smallest value? (a) y (b) 4 (c) -0.4 (d) -4 a Let h = 35239/20 - 1762. What is the third biggest value in -5, 0, h, -3? -3 Let x = -26 + 59. Let k = x + -37. Let b = -113 + 120. What is the second smallest value in k, 0.5, b? 0.5 Let w = -360 + 373. Suppose w*q = -4 - 48. Which is the biggest value? (a) 234 (b) -0.2 (c) q a Let n = -139/360 - 1/72. Let x = -31 - -30. Which is the smallest value? (a) x (b) -0.05 (c) n a Let y = -4065.476 - -4066. What is the biggest value in y, -4, 0, 3? 3 Let z(f) = -f. Let c be z(2). Let s = -0.029 + 6.329. Let o = 7.3 - s. What is the third smallest value in o, c, 2/11? o Let v = 1345 + -1341.9. Which is the fourth smallest value? (a) -2 (b) -2/7 (c) -6 (d) v d Let n = -265/8 + 1333/40. Which is the fourth biggest value? (a) -5 (b) n (c) -3/4 (d) 0 (e) 0.04 c Let n = 0.36 + -48.36. Let u = -48.3 - n. Suppose -5*l - 2*d = -0*d - 11, -l - 3*d - 3 = 0. What is the third smallest value in u, l, -16? l Let h = -0.17 - -0.37. Let g = 5754 - 5756. Which is the third smallest value? (a) h (b) -47 (c) g a Let p = 178 - 174.8. Let w = p + -2.9. Which is the smallest value? (a) -2 (b) w (c) 5 a Let t = 0.00017 + 2.99983. Which is the third smallest value? (a) t (b) 2 (c) -2/17 (d) -1 (e) -0.08 e Let o = 0.05 - -2.95. Let m(d) = 2*d**3 + 236*d**2 - 202*d + 4290. Let v be m(-119). Which is the biggest value? (a) -0.2 (b) o (c) v c Let i = 605/4 + -152. Suppose 19 = 5*z - 6. What is the fourth smallest value in z, i, -1/3, 4? z Let z be ((-2)/3)/(4/(-42)). Let n = -9 + z. Let p = -2.826 - 2.174. What is the second biggest value in p, n, 1, -3? n Let h be -4 - 13 - 2775/(-165). Which is the fifth biggest value? (a) -0.3 (b) h (c) -1/10 (d) 5 (e) -26 e Let r = -3698 - -22189/6. Which is the second smallest value? (a) r (b) -3 (c) -5/69 c Let s = 4491.963 - 4492. Which is the smallest value? (a) s (b) 2 (c) -244 c Let k be 2/(2/(3/3)). Let v = -418.5 - -419. Which is the third smallest value? (a) k (b) 0.3 (c) v (d) -5 c Let i = 70.7 + -64. Let x = -7 + i. Let z = -803 - -803. Which is the second smallest value? (a) x (b) z (c) -2/7 (d) 0.7 c Suppose -p = -3*k + 22, -p = k + 4*p + 14. What is the smallest value in 5, -0.6, k, -0.2? -0.6 Let m = 1054 - 620. Let s = m + -434.3. What is the fourth biggest value in -6/11, s, -1/2, -4? -4 Let b = -30619 + 30620. What is the third smallest value in b, -92.19, 3? 3 Let h be 0 + (-666)/81 - (-19 + 11). What is the second smallest value in -2, 5, h, 390? h Let g = 18508 - 18432.93. Let u = 2.43 + g. Let q = -78 + u. What is the biggest value in -2/13, q, 23? 23 Let f = 21707 + -86831/4. What is the smallest value in -91, -6, f? -91 Let x = -5184 + 5180. What is the fourth smallest value in x, 4, 0.02, 0.1, 3/8? 3/8 Let l(w) = -2*w**3 - 9*w**2 - 7. Let z be l(-7). Suppose 48*s - z = 62*s. Which is the second smallest value? (a) s (b) 0.3 (c) 0.4 b Let k = 0.561 - 52.661. Let q = -53 - k. Let h = 1.2 + q. Which is the smallest value? (a) 0.4 (b) h (c) -0.15 c Let t be 36/(-90)*-5 - (1 + -53). What is the fourth biggest value in -5, t, 1, -1/4? -5 Suppose 894 = -3*k + 333 - 267. Which is the second biggest value? (a) k (b) 3 (c) 1 c Let t = -5170 + 5176. What is the smallest value in 1/4, -3/5, t, 1/7, 4/5? -3/5 Let z = 35 - 22. Let d = z - 9. Let m be (-28)/95 - (-22)/55. Which is the smallest value? (a) d (b) -4 (c) m b Let v = -9.8 - -9.86. Suppose -10*h + 46 + 4 = 0. Let f = 2 + -3. Which is the smallest value? (a) h (b) f (c) v b Let t = 0.27 + 15.73. Let k = 531 - 512. Let y = k - t. Which is the third biggest value? (a) y (b) -0.1 (c) -1/2 (d) -1 c Let s(p) = -3*p**2 + 169*p + 88. Let g be s(80). What is the second biggest value in g, -4, 5? -4 Let q = 0.26 + 0.04. Let b = 388947 + -388942. Let s be (-2)/(-7) - 37/7. What is the third biggest value in s, q, b, -2/3? -2/3 Let u = 1.7 - 1.9. Let i = u + 0.3. Let z = -1.29 + 2.59. Which is the third biggest value? (a) -1 (b) z (c) i a Let n be (6/(-18))/((-3)/216). Suppose 2*x = -5*v - n, -12 = 4*v + 2*x + 8. Which is the third biggest value? (a) v (b) -10 (c) 1/4 b Let h = -0.396 - -3.396. Let y = -3.1 - -3. Let s = -21 + 20.8. Which is the third smallest value? (a) 2/7 (b) s (c) h (d) y a Let v = 34 - 77. Let n = -39 - v. Which is the smallest value? (a) 5/2 (b) -5 (c) n b Let o = -2138/185 + 435/37. Which is the second smallest value? (a) -869 (b) -0.3 (c) o b Let r = -796.18 + 784. Let q = r - -73.88. Let v = q + -62. Which is the third biggest value? (a) 4 (b) v (c) -0.09 b Let d be ((-8)/(-100))/(3/(-5)). Let t = 9497.5 + -9494.5. Which is the biggest value? (a) 0.3 (b) d (c) t c Suppose -4*u + 4*b + 87 = -129, 3*b - 238 = -5*u. Let j = u - 60. Let f be j/30 + 4/30. What is the second sma
{ "pile_set_name": "DM Mathematics" }
replacement from uvhu. 1/12 What is prob of sequence ddri when four letters picked without replacement from rrriidiiiiiiidi? 1/546 Three letters picked without replacement from {e: 2, v: 1, j: 1, n: 6, q: 4, f: 4}. What is prob of sequence nfv? 1/204 Calculate prob of sequence ctb when three letters picked without replacement from dvcpbpdt. 1/336 Three letters picked without replacement from {z: 3, g: 2, w: 10, f: 1, c: 1, e: 2}. Give prob of sequence fee. 1/2907 What is prob of sequence qq when two letters picked without replacement from {p: 2, o: 3, z: 1, q: 3, k: 1}? 1/15 Calculate prob of sequence yy when two letters picked without replacement from {y: 2, o: 5}. 1/21 Three letters picked without replacement from {o: 3, g: 3, v: 4, m: 6, b: 2}. What is prob of sequence gbm? 1/136 Three letters picked without replacement from ttll. Give prob of sequence llt. 1/6 Calculate prob of sequence rr when two letters picked without replacement from {v: 5, r: 11}. 11/24 Three letters picked without replacement from {q: 1, w: 14}. Give prob of sequence wwq. 1/15 Four letters picked without replacement from {z: 3, i: 9}. Give prob of sequence zziz. 1/220 Calculate prob of sequence hhb when three letters picked without replacement from hhbbhbhbbbhbbhbhhbh. 40/323 Three letters picked without replacement from {p: 1, b: 2, o: 1, l: 1, j: 1, w: 1}. Give prob of sequence olw. 1/210 Two letters picked without replacement from {j: 3, k: 2, y: 4, s: 1, h: 1, d: 1}. What is prob of sequence jy? 1/11 What is prob of sequence iro when three letters picked without replacement from {i: 1, o: 2, d: 1, r: 2}? 1/30 Calculate prob of sequence gpp when three letters picked without replacement from capagkgpgakgga. 5/1092 Four letters picked without replacement from tptttttppttttttppt. Give prob of sequence ttpp. 13/306 Calculate prob of sequence zdz when three letters picked without replacement from {d: 3, z: 11}. 55/364 Two letters picked without replacement from kjjtkhjkkkkkkjjktht. Give prob of sequence hh. 1/171 Three letters picked without replacement from {o: 1, x: 14}. Give prob of sequence xxo. 1/15 What is prob of sequence nx when two letters picked without replacement from {n: 1, q: 2, x: 1}? 1/12 Four letters picked without replacement from {t: 6, c: 4, w: 3}. Give prob of sequence ccwc. 3/715 Calculate prob of sequence vaaa when four letters picked without replacement from {v: 7, a: 6}. 7/143 Calculate prob of sequence ui when two letters picked without replacement from igglavvlu. 1/72 Calculate prob of sequence qhd when three letters picked without replacement from ddkdhdfdqkhdddkdddkc. 11/3420 What is prob of sequence hrt when three letters picked without replacement from {u: 11, h: 1, r: 1, d: 4, f: 1, t: 1}? 1/5814 What is prob of sequence bcb when three letters picked without replacement from cbcb? 1/6 Four letters picked without replacement from aecceoaccccwec. What is prob of sequence ocoo? 0 Two letters picked without replacement from {p: 7, g: 1, s: 2}. What is prob of sequence gp? 7/90 What is prob of sequence aap when three letters picked without replacement from pppapapa? 5/56 What is prob of sequence ngcg when four letters picked without replacement from {g: 10, n: 1, c: 8}? 5/646 Four letters picked without replacement from {s: 1, h: 2, j: 1, z: 4, u: 1}. Give prob of sequence hzuh. 1/378 Three letters picked without replacement from {m: 7, v: 2, w: 5}. Give prob of sequence mwv. 5/156 Calculate prob of sequence jjj when three letters picked without replacement from {j: 4, l: 3, i: 4, h: 2, p: 2, t: 3}. 1/204 Two letters picked without replacement from {m: 6}. Give prob of sequence mm. 1 Calculate prob of sequence cw when two letters picked without replacement from bwbbcrxxbdcbw. 1/39 Three letters picked without replacement from {v: 1, u: 18}. What is prob of sequence uuv? 1/19 Calculate prob of sequence bb when two letters picked without replacement from {b: 2, v: 1, z: 2}. 1/10 What is prob of sequence wv when two letters picked without replacement from {n: 2, v: 6, w: 2, g: 2}? 1/11 Calculate prob of sequence ggg when three letters picked without replacement from gggggggggg. 1 Two letters picked without replacement from vvpvvpvvpepee. Give prob of sequence ep. 1/13 Calculate prob of sequence hbwr when four letters picked without replacement from bbhhrw. 1/90 What is prob of sequence eed when three letters picked without replacement from iietddvddddtttde? 1/240 Calculate prob of sequence yrw when three letters picked without replacement from {w: 1, r: 1, y: 2, l: 1}. 1/30 Calculate prob of sequence gq when two letters picked without replacement from ggqggggggggqgqgqgggg. 16/95 Four letters picked without replacement from {j: 9, u: 6, q: 2, c: 1}. What is prob of sequence juqc? 1/680 What is prob of sequence rlrr when four letters picked without replacement from {r: 3, l: 1}? 1/4 What is prob of sequence rddd when four letters picked without replacement from rrkddrrdkdrkrdnrrk? 1/153 What is prob of sequence uuii when four letters picked without replacement from {i: 3, u: 13}? 3/140 Two letters picked without replacement from eddhheweeege. Give prob of sequence gh. 1/66 What is prob of sequence jjv when three letters picked without replacement from {v: 1, e: 1, z: 4, j: 3, m: 2}? 1/165 Calculate prob of sequence ttt when three letters picked without replacement from {t: 7, m: 1, y: 2, x: 2}. 7/44 What is prob of sequence kf when two letters picked without replacement from {f: 3, k: 1}? 1/4 What is prob of sequence mscc when four letters picked without replacement from mmmmsmcmms? 0 What is prob of sequence vvv when three letters picked without replacement from {r: 3, v: 4}? 4/35 Two letters picked without replacement from fadafdfffazjza. Give prob of sequence zf. 5/91 What is prob of sequence im when two letters picked without replacement from {i: 2, m: 1, j: 4}? 1/21 Four letters picked without replacement from dkdkkd. Give prob of sequence kkdd. 1/10 Four letters picked without replacement from lsileseslsecrls. Give prob of sequence lill. 1/1365 Calculate prob of sequence if when two letters picked without replacement from kkikikkffkhkckkikhf. 1/38 Three letters picked without replacement from {t: 1, b: 3}. Give prob of sequence bbt. 1/4 Calculate prob of sequence nfnq when four letters picked without replacement from {m: 1, f: 1, n: 2, q: 1}. 1/60 Three letters picked without replacement from {c: 4, k: 4, q: 3, o: 4}. What is prob of sequence kko? 8/455 Calculate prob of sequence xrl when three letters picked without replacement from uuqurqquqluxxuq. 1/1365 Two letters picked without replacement from lbcqp. Give prob of sequence bl. 1/20 Calculate prob of sequence kda when three letters picked without replacement from {d: 1, j: 1, k: 2, a: 2}. 1/30 Two letters picked without replacement from {x: 3, g: 4}. Give prob of sequence gx. 2/7 Calculate prob of sequence boyb when four letters picked without replacement from {b: 2, o: 12, y: 5}. 5/3876 What is prob of sequence ppp when three letters picked without replacement from gggmpbgbpgpgbp? 1/91 Three letters picked without replacement from {y: 4, v: 7}. What is prob of sequence yvy? 14/165 Three letters picked without replacement from uiuuuiumumuuuum. What is prob of sequence mim? 2/455 Three letters picked without replacement from {w: 1, d: 1, g: 2}. Give prob of sequence wgd. 1/12 What is prob of sequence fufq when four letters picked without replacement from {u: 7, f: 4, q: 4}? 2/195 Calculate prob of sequence dbt when three letters picked without replacement from {t: 3, d: 2, v: 1, r: 3, b: 1}. 1/120 What is prob of sequence vce when three letters picked without replacement from mvgevcc? 2/105 Calculate prob of sequence iqii when four letters picked without replacement from {q: 1, i: 18}. 1/19 What is prob of sequence vp when two letters picked without replacement from kvpcptkpvp? 4/45 What is prob of sequence har when three letters picked without replacement from {r: 4, s: 2, a: 2, k: 1, q: 1, h: 2}? 2/165 Two letters picked without replacement from {c: 2, y: 7, w: 3, z: 2, b: 4}. Give prob of sequence bz. 4/153 What is prob of sequence ny when two letters picked without replacement f
{ "pile_set_name": "DM Mathematics" }
i be u(1). Suppose 4*y - 4 = i. Suppose 4*h - 72 = y. What are the prime factors of h? 19 Let l(g) = 21*g**2 - 14*g + 46. What are the prime factors of l(5)? 3, 167 Suppose i + 0*i - 6 = -2*d, -4*i = d + 11. Let k(n) = 11*n**2 - 2*n + 35. List the prime factors of k(d). 2, 3, 5 Let m(z) = 2*z**2 + z**2 + 11 + z**3 + 10*z**2 + 9*z - 3. What are the prime factors of m(-11)? 151 Suppose 2*r + 0*g - 6 = g, 0 = -4*r - 4*g + 36. Suppose 4*l - r = 4*a + 191, -2*a + 90 = 2*l. List the prime factors of l. 47 Let p = 1218 - 521. What are the prime factors of p? 17, 41 Let u(r) = r**2 - 8*r + 9. Let s be u(7). Let y(t) = -13*t + 2. Let m be y(s). List the prime factors of 1*-2 + m/(-4). 2 Suppose 0 = 7*r + 9*r - 4512. What are the prime factors of r? 2, 3, 47 Suppose 29*t = 1006 + 12015. What are the prime factors of t? 449 Let j(c) = -5*c - 12. Let t be j(-8). Suppose 11*q - t = 9*q. List the prime factors of q. 2, 7 Suppose 21*d - 2512 = -139. What are the prime factors of d? 113 Suppose 0*y = -2*y + 5*c + 193, 2*y - c = 205. List the prime factors of y. 2, 13 Let a(u) = u**2 - 8*u - 5. Let h be (-2)/4 - (-14)/(-4). What are the prime factors of a(h)? 43 Let v(b) = -5*b**2 - 8*b - 12. Let k be v(-2). List the prime factors of (0 - -78) + (-19 - k). 3, 5 Suppose 2044 = 4*i - 4*t, 5*i + t - 2366 = 183. List the prime factors of i. 2, 3, 5, 17 Let o = -23 + 23. Suppose o = 5*s, -5*s - 12 = g - 2*s. What are the prime factors of (7/(-4))/(1/g)? 3, 7 Let j(z) = -20*z - 1. Let p be j(7). Let f = p - -67. Let w = -24 - f. List the prime factors of w. 2, 5 Suppose 64 = -8*q - 48. Let b = q + 39. What are the prime factors of b? 5 Let q be 16/(-10) + 10/(-25). Let t(v) = v**2 + 5*v + 2. Let x be t(q). Let r = x - -8. What are the prime factors of r? 2 Let t(k) = k + 11. Let x(u) = -u - 11. Let l be x(-6). Let z be t(l). Suppose 6*f - 3*q = f + 42, -3*f - 3*q + z = 0. What are the prime factors of f? 2, 3 Suppose -39*h + 29*h + 5640 = 0. What are the prime factors of h? 2, 3, 47 Suppose 4*j + 5 = 5*j. Suppose j*r = 3*b + 247, -r - 2*b + 55 = 3*b. List the prime factors of r. 2, 5 Suppose 4*a = -a. Let s(c) = c**2 + 22. Let v be s(a). Let x = -15 + v. List the prime factors of x. 7 Let u(s) = 1846*s**2 - 28*s - 1. What are the prime factors of u(-1)? 1873 Suppose 0 = 4*j - 2*u - 5120, -6*j - 2*u + 1285 = -5*j. What are the prime factors of j? 3, 7, 61 Let x = 451 - 95. What are the prime factors of x? 2, 89 Suppose -610 - 214 = -8*n. Let j = n - 28. List the prime factors of j. 3, 5 Suppose 4*d + 2*d - 4008 = 0. List the prime factors of d. 2, 167 Suppose -3*k = -8*k - 35. Suppose 0*q - 16 = 4*q. Let v = q - k. What are the prime factors of v? 3 Let l = 4 + -5. Let w be (1/l)/((-1)/(-3)). Let s(i) = -i**3 - i**2 + 3*i - 3. What are the prime factors of s(w)? 2, 3 Suppose -47 = k + 4*f - 137, 2*k + 3*f = 185. Let z = -59 + k. List the prime factors of z. 5, 7 Let m be (-21)/(-5) + (-1)/5. Suppose -2 = 6*x - m*x. Let g(q) = 26*q**2 - 3*q - 1. List the prime factors of g(x). 2, 7 Let a = -7 + 1. Let m be (a/2)/3*5. List the prime factors of m + 4 + -1 + 16. 2, 7 Suppose -24*q + 4745 + 5263 = 0. List the prime factors of q. 3, 139 Let t be 4/(-5) + ((-16)/(-20) - 1). Let p = 375 - 265. List the prime factors of (p/(-33))/(t/6). 2, 5 Let m(d) = 4*d**2 - 11*d + 58. What are the prime factors of m(10)? 2, 3, 29 Let j(s) = 5*s**3 - 2*s**2 - s + 1172. List the prime factors of j(0). 2, 293 Let s(r) = 23*r + 55. What are the prime factors of s(0)? 5, 11 List the prime factors of (-57874)/(-30) + (-17)/((-2040)/(-16)). 3, 643 Let o(w) = 9*w - 3. Let v be o(-3). Let z(h) = h**3 - 13*h**2 + 9*h - 27. Let t be z(12). Let s = v - t. List the prime factors of s. 3, 11 Suppose -14 + 55 = 5*k - 4*g, 0 = -4*k - 5*g. Suppose -2*y + k*s - 100 = 0, 0*s + 3*s - 288 = 5*y. Let v = y - -115. List the prime factors of v. 5, 11 Suppose -68*i + 78*i = 2650. What are the prime factors of i? 5, 53 Let r(w) = -199*w + 98. List the prime factors of r(-10). 2, 3, 29 Let f(t) = 5*t + 39. Let o be f(0). Suppose -3*m + 12 = -o. What are the prime factors of m? 17 Let x be 11 - 3/15*0. Let z(p) = 2*p**2 - 6*p - 13. List the prime factors of z(x). 163 Let a = 62 - 33. Let g = a - 21. List the prime factors of g. 2 Suppose -3*t = 3*i - 300 - 330, 0 = -4*i + 20. Suppose -t = 12*s - 1429. List the prime factors of s. 2, 3, 17 Let q = 1945 - 1022. List the prime factors of q. 13, 71 Suppose -2*j + 8 + 82 = -2*b, 4*b - 220 = -4*j. Suppose -j*d + 750 = -45*d. List the prime factors of d. 2, 3, 5 Suppose 0 = 3*v - 8 - 4. Suppose 0 = -v*a - 10 + 34. What are the prime factors of a*((-63)/(-6) - 2)? 3, 17 Let j(s) = 5*s**2 - 8*s - 4. Let o be j(6). Let f = o - 52. What are the prime factors of f? 2, 19 Let a(s) = 163*s + 70. List the prime factors of a(8). 2, 3, 229 Let p(w) = 220*w - 325. List the prime factors of p(11). 5, 419 Let b(o) = o**3 + 6*o**2 - 4*o + 20. Let f be b(-7). List the prime factors of (2 + (-15)/6)/(f/232). 2, 29 Let u = 7 - 4. Suppose -d = -c - 94, 6*d + c - 266 = 3*d. Suppose 0 = -u*g - 2*g + d. What are the prime factors of g? 2, 3 Suppose -2*w + 30 = -4*u - 6, 5*u + 23 = -3*w. Let s be 2/(-8) - 13/(-4). Let i = s - u. What are the prime factors of i? 2, 5 Suppose -2*i - 80 = -3*r, 0*i + 10 = 5*i. Let u = 36 - r. Suppose 2*t - u*t = -444. List the prime factors of t. 2, 37 Let v(w) = -20*w - 152. What are the prime factors of v(-23)? 2, 7, 11 List the prime factors of 1 - (-1 + -5 + -53). 2, 3, 5 Let w = 22 + -18. Let k(f) = 4*f**2 - 4*f - 2. What are the prime factors of k(w)? 2, 23 Let b(j) = 7*j**2 - 5*j + 25. Let y be b(5). Let u = y + -105. List the prime factors of u. 2, 5, 7 Let y(g) = g**2 + g - 2. Let t be y(1). Suppose x = -t*x + 2. Suppose 0 = 3*c + 2*q - 74, x*c = -3*c + 5*q + 140. List the prime factors of c. 2, 13 Suppose 29*n - 2708 = 25*n. What are the prime factors of n? 677 Let u(a) = -a. Let q(m) = m**3 + 13*m**2 - 27*m - 1. Let h(t) = -q(t) + 6*u(t). What are the prime factors of h(-15)? 2, 17 Let a be ((-23)/(-46))/(2/(-448)). Let j = -78 - a. What are the prime factors of j? 2, 17 Let a = -686 - -846. List the prime factors of a. 2, 5 Let u(z) = -7*z - 87. Let a be u(-30). Let n = a + -110. What are the prime factors of n? 13 Let x(m) = -96*m**3 + 2*m**2 - 3*m - 8. List the prime factors of x(-2). 2, 3, 43 Let m = 687 + -488. What are the prime factors of m? 199 Suppose 0 = -2*i + 3*i, 2*k = 3*i + 272. List the prime factors of k. 2, 17 Let x(u) = u**3 - 6*u**2 + u - 4. Let t be x(6). Suppose 139 + 118 = 4*s - 3*j, -t*s = j - 131. List the prime factors of s. 5, 13 Suppose -1201 = -4*k + 3*p, 4*p + 1200 = -0*k + 4*k. What are the prime factors of k? 7, 43 Let q be (-2)/(1/(-4)*2). Suppose -71 = -q*g + 81. List the prime factors of g. 2, 19 Suppose 4*k + 1404 = 17*k. List the prime factors of k. 2, 3 Suppose -2 = 2*f - 6. Let i be 4 - (-2 - (-6)/f). Suppose -i*a = -3 - 6. List the prime factors of a. 3 Let l(c) = -c**2 + 6*c - 1. Let n be l(3). What are the prime factors of 4 + 92/n*4? 2, 5 Suppose 2*t + 2*t = 0. Suppose -i + 176 + 97 = t. Suppose 0*o + 4*o = -8, 4*o + i = 5*n. List the prime factors of n. 53 Let c be (-5 - -1)*35/(-4). Let y = -163 - -139. Let v = c + y. What are the prime factors of v? 11 Let i(p) = -p**2 - 18*p + 15. Let q be i(-17). Suppose q = 10*b - 9*b. List the prime factors of b. 2 Suppose 8*q + 15 = 3*q. Let u = 60 + q. What are the prime factors of u? 3, 19 List the prime factors of 2/(6/3447) - 8. 7, 163 Suppose 0*p + 4*p - 208 = 3*k, -69 = -p + 5*k. List the prime factors of p. 7 Let j = 7365 + -2797. What are the prime factors of j? 2, 571 Suppose 5*a - 5777 = -4*s, 8*a - 4339 = -3*s + 3*a. What are the prime factors of s? 2, 719 Let o(m) = m**2 + 9*m - 19. Let t be o(-11). Suppose t*h - 498 = 3*y, 203 = -4*h + y + 852. What are the prime factors of h? 7, 23 Let n(p) = p**3 + 9*p**2 + 4*p - 14. Let f be n(-6). Suppose -3*a = -8*a + f. List the prime factors of a. 2, 7 Suppose -3*x + 115 = g - 683, -2418 = -3*g + 3*x. List the prime factors of g. 2, 3, 67 Suppose 126 = 2*t - 0*t. Let w = 105 - t. List the prime factors of w. 2, 3, 7 What are the prime factors of 12/120 - 194694/(-60)? 5, 11, 59 What are the prime factors of -33*
{ "pile_set_name": "DM Mathematics" }
der when 406445307 is divided by 10? 7 Calculate the remainder when 61000542 is divided by 146. 136 Calculate the remainder when 2306096 is divided by 1003. 199 What is the remainder when 83832 is divided by 41382? 1068 What is the remainder when 3894504 is divided by 133? 131 Calculate the remainder when 14591756 is divided by 858338. 10 What is the remainder when 9504447 is divided by 530? 487 What is the remainder when 7366469 is divided by 2986? 7 Calculate the remainder when 24652067 is divided by 219. 113 What is the remainder when 25374 is divided by 4871? 1019 Calculate the remainder when 408241 is divided by 4295. 216 Calculate the remainder when 267204 is divided by 2489. 881 Calculate the remainder when 901418 is divided by 76. 58 Calculate the remainder when 8004514 is divided by 1143502. 0 Calculate the remainder when 35808590 is divided by 671. 4 Calculate the remainder when 14394996 is divided by 162. 0 Calculate the remainder when 4760747 is divided by 1586910. 17 Calculate the remainder when 6899390 is divided by 18. 8 Calculate the remainder when 20395185 is divided by 44. 41 What is the remainder when 91787262 is divided by 64? 62 What is the remainder when 554175 is divided by 387? 378 What is the remainder when 177049 is divided by 3479? 3099 Calculate the remainder when 296438016 is divided by 1580. 1576 What is the remainder when 742521 is divided by 61876? 9 Calculate the remainder when 2615632 is divided by 1063. 652 What is the remainder when 20281 is divided by 6289? 1414 Calculate the remainder when 35062935 is divided by 262. 261 Calculate the remainder when 1058090 is divided by 10077. 5 What is the remainder when 5202950 is divided by 58? 2 What is the remainder when 452619 is divided by 3688? 2683 What is the remainder when 3359 is divided by 644? 139 Calculate the remainder when 1412177 is divided by 148. 109 What is the remainder when 302807 is divided by 151375? 57 What is the remainder when 331361 is divided by 66268? 21 What is the remainder when 151042546 is divided by 292? 290 Calculate the remainder when 37027920 is divided by 248. 32 What is the remainder when 167035 is divided by 483? 400 What is the remainder when 2414641 is divided by 154? 75 What is the remainder when 40694 is divided by 714? 710 What is the remainder when 1183897 is divided by 591925? 47 What is the remainder when 33381 is divided by 16642? 97 Calculate the remainder when 4528507 is divided by 1611. 1597 Calculate the remainder when 1338241 is divided by 1439. 1410 Calculate the remainder when 329936 is divided by 305. 231 Calculate the remainder when 9767331 is divided by 2569. 2562 Calculate the remainder when 999586 is divided by 499781. 24 Calculate the remainder when 6073189 is divided by 962. 83 Calculate the remainder when 78774 is divided by 15. 9 What is the remainder when 22714 is divided by 22144? 570 Calculate the remainder when 1241289 is divided by 248253. 24 What is the remainder when 4461 is divided by 2112? 237 What is the remainder when 6465212 is divided by 17? 10 Calculate the remainder when 18606 is divided by 3510. 1056 Calculate the remainder when 1681389 is divided by 1104. 1101 Calculate the remainder when 4467797 is divided by 8351. 12 Calculate the remainder when 2187105 is divided by 546722. 217 Calculate the remainder when 36527 is divided by 4519. 375 Calculate the remainder when 239041457 is divided by 6. 5 What is the remainder when 139884 is divided by 46621? 21 Calculate the remainder when 59406802 is divided by 18. 16 What is the remainder when 2425665 is divided by 46? 39 What is the remainder when 186961822 is divided by 13? 8 Calculate the remainder when 1382222 is divided by 460732. 26 Calculate the remainder when 58509 is divided by 5312. 77 Calculate the remainder when 223899 is divided by 223879. 20 Calculate the remainder when 29978620 is divided by 467. 22 Calculate the remainder when 30644046 is divided by 1590. 1566 What is the remainder when 444765 is divided by 4? 1 Calculate the remainder when 152126 is divided by 13618. 2328 Calculate the remainder when 1168298 is divided by 77. 54 What is the remainder when 153612 is divided by 12781? 240 Calculate the remainder when 367952528 is divided by 110. 108 Calculate the remainder when 19266609 is divided by 48. 33 Calculate the remainder when 204970 is divided by 68016. 922 Calculate the remainder when 1221631 is divided by 18. 7 Calculate the remainder when 2295666 is divided by 62. 54 What is the remainder when 1999508 is divided by 605? 588 What is the remainder when 971461 is divided by 4727? 2426 What is the remainder when 1277952 is divided by 102? 96 Calculate the remainder when 76643 is divided by 25155. 1178 What is the remainder when 45602834 is divided by 1685? 1679 Calculate the remainder when 30183 is divided by 5999. 188 What is the remainder when 5021919 is divided by 19? 10 Calculate the remainder when 1989408 is divided by 707. 617 What is the remainder when 1611695 is divided by 208? 111 Calculate the remainder when 5548956 is divided by 37. 29 Calculate the remainder when 657153 is divided by 64. 1 What is the remainder when 75073 is divided by 181? 139 What is the remainder when 1811500882 is divided by 12972? 12970 What is the remainder when 8656593 is divided by 2164148? 1 Calculate the remainder when 90405 is divided by 1352. 1173 What is the remainder when 30838 is divided by 5128? 70 What is the remainder when 702593 is divided by 568? 545 Calculate the remainder when 22974 is divided by 269. 109 What is the remainder when 498141 is divided by 5355? 126 What is the remainder when 468575 is divided by 2798? 1309 Calculate the remainder when 3017520 is divided by 298. 270 What is the remainder when 5752060 is divided by 43576? 28 What is the remainder when 957127 is divided by 1028? 59 Calculate the remainder when 249990 is divided by 2828. 1126 What is the remainder when 111975 is divided by 362? 117 What is the remainder when 433380 is divided by 1027? 1013 Calculate the remainder when 1074139 is divided by 179023. 1 What is the remainder when 61105 is divided by 789? 352 What is the remainder when 105949829 is divided by 4567? 4563 Calculate the remainder when 86061 is divided by 1039. 863 What is the remainder when 50470 is divided by 192? 166 What is the remainder when 65461304 is divided by 77? 62 Calculate the remainder when 607717 is divided by 26. 19 What is the remainder when 17318 is divided by 23? 22 Calculate the remainder when 144546 is divided by 1690. 896 Calculate the remainder when 234104 is divided by 21277. 57 Calculate the remainder when 574989 is divided by 303. 198 Calculate the remainder when 11746635 is divided by 464. 11 What is the remainder when 10109 is divided by 7608? 2501 Calculate the remainder when 837891 is divided by 4433. 54 Calculate the remainder when 833871 is divided by 208458. 39 Calculate the remainder when 13602531 is divided by 209. 184 What is the remainder when 64212967 is divided by 568? 567 What is the remainder when 603253 is divided by 201080? 13 Calculate the remainder when 7011511 is divided by 1752861. 67 What is the remainder when 189630 is divided by 2673? 2520 What is the remainder when 2890211 is divided by 49? 44 What is the remainder when 596207 is divided by 595956? 251 What is the remainder when 17859274 is divided by 2748? 22 What is the remainder when 254175 is divided by 129? 45 Calculate the remainder when 38334 is divided by 900. 534 What is the remainder when 21292628 is divided by 341? 247 Calculate the remainder when 923106 is divided by 230293. 1934 What is the remainder when 1018184 is divided by 257? 207 Calculate the remainder when 720308 is divided by 55396. 160 Calculate the remainder when 26411893 is divided by 3631. 3630 What is the remainder when 8586053 is divided by 28? 21 What is the remainder when 15145585 is divided by 458? 441 What is the remainder when 531630 is divided by 54? 0 Calculate the remainder when 12634203 is divided by 4141. 12 What is the remainder when 58779 is divided by 76? 31 Calculate the remainder when 2042976 is divided by 41. 28 What is the remainder when 12086285 is divided by 61? 50 What is the remainder
{ "pile_set_name": "DM Mathematics" }
23*z**3 - 19*z + 9*z with respect to z. 69*z**2 Let g(r) be the second derivative of r**4/6 + 1948*r**3/3 - 3749*r**2 - 12*r + 25. Differentiate g(x) wrt x. 4*x + 3896 Let i(g) = 2*g - 1. Let r(s) = 3*s + 84. Let p be 6 + -14*6/12. Let y(w) = p*r(w) - 2*i(w). Find the first derivative of y(m) wrt m. -7 Let v(d) = d**3 + 2. Let h = 767 + -768. Let m(z) = 113*z**3 + 135*z**2 - 6. Let p(k) = h*m(k) - 3*v(k). Find the third derivative of p(r) wrt r. -696 Suppose 101 = -2*s + 85. Let n be (-6)/9*36/s + 4. Find the second derivative of n*m + 238 + 3*m + 34*m**2 - 238 wrt m. 68 Differentiate -21*y - 534 - 69 - y**3 - 222*y + 3*y**4 wrt y. 12*y**3 - 3*y**2 - 243 Suppose 11*d - 15 - 7 = 0. What is the second derivative of -331*h**d + 631*h**2 - 391*h**2 - 75*h wrt h? -182 Let o(j) = -j + 16. Let i be o(0). Suppose 3*b - b + 4*u - 28 = 0, 0 = b - 4*u + i. What is the first derivative of 4*v**4 + 17 - 6*v**b + 11*v**4 wrt v? 36*v**3 What is the first derivative of -2*t**2 + 326 + 641 - 5*t + 494*t**3 - 6*t + 11*t wrt t? 1482*t**2 - 4*t Let a(q) = q**3 + 4*q**2 - 8*q. Let t be a(2). Find the second derivative of 19*l - t*l + 11*l**2 + 107*l + 33*l**2 wrt l. 88 Let o(t) be the second derivative of -9/4*t**5 + 0*t**2 + 0*t**3 + 49*t + 2 - 17/3*t**4. Find the third derivative of o(w) wrt w. -270 Let l(m) = -3*m**3 + 60*m**2 - m + 22. Let d be l(20). Find the third derivative of i**4 - 13*i**3 + 5*i**5 - 134*i**d - i**4 + 33*i**3 wrt i. 300*i**2 + 120 Let c(k) = 9*k**3 - 12*k**2 + 108*k + 5971. Let z(a) = -8*a**3 + 10*a**2 - 107*a - 5964. Let m(w) = -6*c(w) - 7*z(w). Differentiate m(x) wrt x. 6*x**2 + 4*x + 101 Let r = 145 - 80. Let u = -58 + r. Find the second derivative of 61*y**4 + u*y + 1 - 1 - 60*y**4 wrt y. 12*y**2 Let q(v) = v**2 + 10*v - 30. Let a be q(-15). Find the third derivative of 63*z**2 + 42*z - 109*z**2 - 237*z**3 + 130*z + a*z**2 wrt z. -1422 Let j(r) = -7*r + 19*r - 17 + 8*r + 31. Let m(h) = 6*h - 6 + 11*h + 13 - 7*h. Let z(u) = 3*j(u) - 5*m(u). What is the derivative of z(y) wrt y? 10 Let j(l) = -8*l - 89. Let n be j(-22). What is the third derivative of 9*o**3 - n + 87 + 5*o**5 + o + 2*o**2 - 2*o wrt o? 300*o**2 + 54 Let j(u) be the third derivative of 0*u**4 - 10*u**2 + 167/120*u**6 + 0*u + 0*u**5 + 0 + 167/6*u**3. What is the first derivative of j(l) wrt l? 501*l**2 Let x(w) = 3 - w**3 + 0*w**2 + 3*w**2 + 2*w**3 - 2 - w**2. Let i(h) = 141*h**3 + 10*h**2 - 30. Let r(l) = -i(l) + 5*x(l). Differentiate r(t) wrt t. -408*t**2 Let w(v) = 603*v**2 - 7*v - 19. Let j(x) = -603*x**2 + 8*x + 19. Let m(g) = 6*j(g) + 5*w(g). Find the second derivative of m(q) wrt q. -1206 What is the third derivative of 41*z**4 + 12*z**4 - 16*z**2 + 5*z**5 + 170*z**4 - 7315*z**2 wrt z? 300*z**2 + 5352*z Let u(h) = 41*h**2 + h - 964. Let d(v) = 38*v**2 - 964. Let f(l) = 4*d(l) - 5*u(l). Differentiate f(s) with respect to s. -106*s - 5 Find the second derivative of 733124*o**2 + o + 304 - 731426*o**2 + 0*o wrt o. 3396 Let c be 14/2 - (-1)/(-1). Suppose 0 = c*w - 3*w - 369. Differentiate -17*d**2 - 36 + w - 40 - 38 with respect to d. -34*d Differentiate 355*v - 4846 - 211*v - 1038 + 419*v with respect to v. 563 Let u(o) be the third derivative of -o**7/105 + 18*o**5 - 3535*o**4/8 + 66*o**2 - 69*o. What is the second derivative of u(c) wrt c? -24*c**2 + 2160 Let i be ((-10)/6)/((-17)/663). What is the derivative of -i + 33*m + 61*m + 24 + 4*m**2 - 40 - 2*m**2 wrt m? 4*m + 94 Let b(k) be the first derivative of -5/6*k**4 + 0*k**3 + 25 + 6*k**2 - 9*k. Let s(i) be the first derivative of b(i). Differentiate s(o) with respect to o. -20*o Let v(y) be the third derivative of -839*y**7/105 + 3299*y**3/6 - 141*y**2 - y + 9. What is the first derivative of v(r) wrt r? -6712*r**3 Let d(j) be the third derivative of -4013*j**5/60 + 3883*j**3/6 + 12*j**2 - 3*j. What is the first derivative of d(h) wrt h? -8026*h Let f(y) = 1399*y**2 + 569*y - 3. Let m(s) = 100*s**2 + 1. Let q(n) = f(n) - m(n). Find the second derivative of q(x) wrt x. 2598 Suppose -61*o = 64*o - 130*o. Let z(k) be the second derivative of 0 - 10*k - 4/3*k**3 + 0*k**4 + o*k**2 + 1/4*k**5. Find the second derivative of z(t) wrt t. 30*t Let p(n) be the first derivative of 481*n + 8 + 481/2*n**2. Let g(i) = -30*i - 30. Let t(y) = 65*g(y) + 4*p(y). Differentiate t(x) with respect to x. -26 Find the third derivative of -1865*s**4 - 512*s**2 - 816*s**2 - 1134*s**2 + 4497*s**4 wrt s. 63168*s Find the second derivative of b - 2341*b**3 + 3*b**2 + 2348*b**3 - 3*b**2 - 3*b**5 + 0*b**5 - 507 wrt b. -60*b**3 + 42*b Suppose -2*s + 596 = 2*s. Differentiate -73 - 14*x**2 + 3*x**2 + s - 2*x wrt x. -22*x - 2 Let z(j) be the second derivative of -88*j - 85/6*j**4 + 0*j**3 + 0 + 75*j**2. Differentiate z(u) with respect to u. -340*u Suppose 0 = -2*b - 3*b + 10. Find the second derivative of -4*m**4 - b*m**5 - 22*m + 815*m**3 - 815*m**3 wrt m. -40*m**3 - 48*m**2 Let z(y) be the third derivative of -57*y**2 + 2*y**4 + 0 + 1/20*y**5 + 0*y**3 - 1/24*y**6 + 0*y. What is the second derivative of z(d) wrt d? -30*d + 6 Let n(g) = -g**2 - 16*g + 20. Let t be n(-17). Suppose -4*h + t*z + 0*z = -62, h - 7 = 5*z. Find the first derivative of h*j - 11*j - 6 - 11 - 3 wrt j. 6 Find the second derivative of 5 - 5874*s - 3120*s + 12301*s**4 - 5 - 233*s wrt s. 147612*s**2 Let o(s) = -s**4 + s**3 - 3*s**2 - s. Let f(w) = -1410*w**4 + 2*w**3 - 9*w**2 - 498*w. Let i(c) = f(c) - 3*o(c). What is the second derivative of i(u) wrt u? -16884*u**2 - 6*u Let y(t) be the second derivative of 11/3*t**6 + 0*t**3 - 6 - 23*t - 101/2*t**2 + 0*t**5 - 1/12*t**4. Find the third derivative of y(v) wrt v. 2640*v Let m = 74 + -73. Let z = 7 - m. What is the derivative of z + 10*j**3 + 16 - j**3 + 9*j**3 wrt j? 54*j**2 Let n(q) be the first derivative of -47*q**6/2 + q**4/2 - 418*q**3 + 6770. What is the third derivative of n(i) wrt i? -8460*i**2 + 12 Let g be 18*(20*2/4 - 4). Let b = -105 + g. What is the third derivative of -7*x**b - x**2 + 0*x**6 + 7*x**3 - 18*x**6 wrt x? -2160*x**3 What is the second derivative of 50*x - 16*x - 7 + 1472*x**3 - 24*x wrt x? 8832*x Find the second derivative of -2544*j**3 - 818*j - 26774*j**2 + 115*j + 26774*j**2 wrt j. -15264*j Let w be (-48)/(-20) - (3 + 54/(-15)). Find the third derivative of -12*j**4 - 4*j**w - j**4 + 9*j**2 + 21*j**4 + 4*j wrt j. 192*j - 24 Let x(g) be the second derivative of 1731*g**6/10 + 921*g**3/2 + g**2 - 2027*g. What is the second derivative of x(n) wrt n? 62316*n**2 Let v(c) be the second derivative of -257*c**5/20 + 5*c**4/6 + c**3/2 + 9*c**2/2 - 4638*c. Find the third derivative of v(d) wrt d. -1542 Let c = -9570 + 9573. Let p(m) be the second derivative of -5/2*m**c + 5/2*m**2 + 0 - 16*m. Differentiate p(r) with respect to r. -15 Let m(w) be the third derivative of 28*w - 4/5*w**6 - 3*w**2 - 1/6*w**3 + 0*w**4 + 7/15*w**5 + 0. What is the third derivative of m(z) wrt z? -576 Let i(b) = -2*b + 23. Let n(t) = 24 - 5*t - t**2 - t**3 - 26 + 2*t. Let w be n(-1). Let a(y) = y + 1. Let s(p) = w*i(p) - 6*a(p). Differentiate s(m) wrt m. -8 Let y be (8/16)/((-2)/(-32)). Let s be y + (-4)/(-2) + 1. Find the third derivative of -s*p**6 + 11*p**2 - 8*p**6 + 5*p**6 wrt p. -1680*p**3 Let z(o) be the first derivative of -2889*o**4/4 - 10434*o + 6430. What is the derivative of z(j) wrt j? -8667*j**2 Suppose 23*m = 46*m - 115. Let w(u) be the first derivative of 0*u**3 + 0*u**4 + 0*u - 3*u**m + 9 - 19/2*u**2. Find the second derivative of w(t) wrt t. -180*t**2 Let f = -538 + 544. What is the second derivative of -f*h**4 + 82*h**5 - 263*h**5 - 68*h + 2 + 6*h**4 wrt h? -3620*h**3 Let s(o) = o**2 - 1. Let r(f) = 37*f + 22 + 26*f - 63*f + 39*f**2. Let v(q) = r(q) + 4*s(q). What is the derivative of v(i) wrt i? 86*i What is the derivative of 1423*s + 1706*s - 286*s + 155*s + 2894 wrt s? 2998 Let k(p) be the second derivative of -1453*p**4/6 + 5714*p**3/3 - 14*p - 219. Find the second derivative of k(w) wrt w. -5812 Let w(f) = 1808*f**3 + 1960*f**2 + 5*f - 21. Let p(k) = 2711*k**3 + 2940*k**2 + 8*k - 33. Let m(r) = 5*p(r) - 8*w(r). Find the third derivative of m(v) wrt v. -5454 Let r(q) = -2778*q**3 + 594. Let c(p) = -24. Let g(u) = 12*c(u) - r(u). What is the derivative of g(y) wrt y? 8334*y**2 Let g(t) = t**2 - 18*t - 10. Let
{ "pile_set_name": "DM Mathematics" }
? False Suppose 6*a - 3*z = 5*a - 109, -z + 381 = -4*a. Let k = a + 217. Is k composite? True Is (-133188)/(-110) - (6/(-5) + 1) a composite number? True Suppose 0 = 5*z - 2*p + 1369 + 4745, 4*p = -3*z - 3684. Is z/54*6/(-4) a prime number? False Let f(b) = -4*b + 13816. Let s be f(0). Suppose 4*k - 2*x = s, 2*k = -3*k + x + 17273. Is k prime? False Is (21 - 19)*2638/4 composite? False Let y(a) = -3*a**3 + 2*a**2 - a - 2. Let v be y(-1). Is (-2)/4*(2 - (2732 - v)) a composite number? True Let j = 61505 + -43498. Is j composite? True Let v(g) = -61*g**2 - 15*g - 2. Let n(q) = 31*q**2 + 8*q + 1. Let c(z) = -11*n(z) - 6*v(z). Let b be c(-1). Let r = b - 14. Is r a composite number? True Let x = 15 - -33. Let p = x + 93. Is p composite? True Let i(n) = n + 36. Let x be i(-7). Suppose 28*m = x*m - 2843. Is m a prime number? True Suppose 4*c + 4*b = 2330 + 614, 2*c - 1470 = -b. Is c a prime number? False Let s be (-4)/14 - ((-36714)/21)/1. Suppose -2*f = -6*f + s. Is f prime? False Suppose -8*y + 15839 + 1401 = 0. Is y composite? True Let v(s) = -3*s - 7. Let w be v(-5). Let m(o) be the second derivative of o**5/10 - o**4/2 - o**3/3 - o**2/2 - 195*o. Is m(w) prime? False Let n be (12/8)/(2/4). Suppose i + 5*q - 8 = 0, -n*q + 8 = 3*i - 4*q. Suppose i*s - 78 = 81. Is s a prime number? True Suppose x - 1797 = 5*l + 1563, -3*l - 3370 = -x. Is x prime? False Let i be -20*(-1095)/2*(-3)/(-18). Let l = i - -612. Is l prime? True Let r(s) be the third derivative of 14*s**5/3 - s**4/6 - s**3/2 + 19*s**2. Is r(-4) composite? False Let r = 7677 + 2446. Is r a prime number? False Let f be (2 + -3)*(-9 - -6). Suppose -5*k + f*k + 132 = 0. Is 10/8*(k - -10) prime? False Let t = 2105 + 4998. Is t a prime number? True Suppose -3*t + 61021 = 4*g, 0 = t + 1 + 4. Is g a prime number? True Suppose 21*t - 16*t = 9215. Is t a composite number? True Suppose 8 = 5*j - 3*j. Let t be 7*(22 + (j - 2)). Let s = 419 - t. Is s prime? True Suppose 103*k - 7554 = 97*k. Is k composite? False Let d = -4703 - -10846. Is d a composite number? False Let g be (-8)/10*(-2990)/(-4). Let j = 890 + g. Suppose y = 4*y + 2*v - 431, -2*y + v = -j. Is y a composite number? True Suppose 21*w = 17*w + 12908. Is w composite? True Suppose -4*u + 4 = -5*x, -6*u = -2*u - 2*x - 16. Is 9238/3 - 2/36*u composite? False Let o be ((-365)/4)/(3 + (-13)/4). Let w = o + -66. Is w prime? False Let j = 67 - 63. Suppose -3*m = -j - 5, -1178 = -2*i - 4*m. Is i a prime number? False Let s be (10/4)/(1/6). Suppose -s*j + 16*j = 97. Is j prime? True Suppose -4*g - 4*c = -4, -2*g + 6 = 4*c - 0. Is 87/6*(15 + g) a prime number? False Let u(o) be the third derivative of 17*o**7/504 + o**6/720 - o**5/120 + o**4/8 - 2*o**2. Let f(a) be the second derivative of u(a). Is f(-2) a prime number? True Suppose 51*l + d = 49*l + 118414, -5*d = -3*l + 177621. Is l prime? True Let f(g) = 2*g**2 - 8*g + 5. Let t be f(-6). Suppose -10*l + 59 = -11. Suppose -l*n = -2*n - t. Is n prime? False Suppose -5*q + 0*q + 3*g + 77 = 0, -4*g = -5*q + 76. Suppose -q = 4*z - 524. Is z a composite number? False Let w = -109 - -464. Suppose -x = -4*a + w, 3*x - 5*x = -2*a + 176. Is a a composite number? False Let p = -11 - -9. Is 149/p*(-9 - -7) a prime number? True Suppose -4*a + 28 = 5*q, 4*a + 5*q = q + 32. Let b be 1/(1 - a/16). Suppose k = 3*k - 4*h - 226, b*k = -2*h + 462. Is k prime? False Suppose 4*r = l - 16, -6*r - 2*l - 4 = -2*r. Is (-45)/(-30)*(-614)/r composite? False Suppose 4*h - 4*r + 835 + 1269 = 0, -h = -2*r + 526. Let x = h + 777. Is x prime? True Let l(s) = s**2 + 4 + 14 + 2*s + 0*s. Let i(w) = -12*w + 13. Let f be i(0). Is l(f) prime? False Let l(m) = -14 + 1379*m**2 - 1359*m**2 + 0*m + m**3 - 2*m. Is l(-17) composite? False Let o(s) = s**2 + 20*s - 47. Let b be o(-22). Is 258/(-9)*b + -1 prime? False Suppose 2*o - 36900 = -5*j, 6647 = -2*j - 4*o + 21391. Is j prime? False Let d = -1167 - -3326. Is d prime? False Let x = 65 - 53. Suppose x*r = 11*r + 499. Is r a composite number? False Let g be (-2)/6 + (-70)/(-30). Let o(p) = -g - p - 5*p + p + p. Is o(-4) a composite number? True Let c be 6184/2*(-2 - 3/(-4)). Is c/(-25) + (-4)/(-10) a prime number? False Suppose g = 4*b - 13376, -b + 3*g + 2*g + 3363 = 0. Is b a composite number? False Suppose -4*t + 1370 + 9913 = -5*x, 2*t + x - 5659 = 0. Is t a prime number? False Suppose 4*q - 2*d - 1114 = 0, 2*d + 5 = 3*d. Suppose -4*b - t = -b + 821, b + 4*t + q = 0. Let c = -62 - b. Is c a prime number? True Let p(m) = 4053*m**2 - 12*m - 11. Is p(-1) a composite number? True Is -269*(-10 - -8) - 3 prime? False Suppose -2*r = 3*o + 1614, 3*r + 3*o = 2*r - 813. Let i = r + 1504. Is i a prime number? False Suppose 4*p + 4*l = 10004, 0 = -p + 2*l - 1603 + 4110. Is p prime? True Let z = -502 - -1049. Suppose z + 385 = 4*f. Is f composite? False Let j(q) = -q**2 - 14*q - 14. Let z be j(-11). Let b(i) = i + i + 100 + z - 3*i. Is b(0) prime? False Suppose 6215 = 145*x - 140*x. Is x a composite number? True Let j(x) = 3*x**3 - 4*x**2 - 3*x + 1. Let r be 4/12 + (-42)/(-9). Let o be j(r). Let h = o + -74. Is h prime? False Let f = 2 + -9. Let y be (-9 - 1)*f/14. Is (-206)/(-3) - y/(-15) composite? True Is ((-3)/2)/((-86410)/(-43220) - 2) prime? True Let y be (954/(-15))/(20/(-50)). Is -1 - y*16/(-12) composite? False Suppose 2*f - 17 = f + 3*h, 0 = 4*h - 8. Let q be 27/18*4*f. Suppose a + a = q. Is a prime? False Let x be ((-16)/(-14) - 2)*-1316. Let a = x - 671. Is a composite? False Let g be 9*2*6/18. Let z be (9/g + 0)*2. Suppose -z*d + 201 = -144. Is d prime? False Let z be 14537/7 + 6*2/42. Suppose w + 4*f = -4*w + z, 3*f = 2*w - 817. Is w a composite number? True Let b be 1 - (0 - 1) - (2 - 3). Suppose -b*r + 35 = -520. Is r a prime number? False Suppose -u = -2, -2*y - 1 = -3*u - 3. Let b(m) = 118*m - 21. Is b(y) a composite number? True Suppose 3*g = -4*b + 8*b + 14, 2*g = b + 1. Let a(c) = -301*c + 26. Is a(b) composite? False Let n(w) = -3*w - 5 + 3 + w - 1. Let c be n(-4). Suppose 4*g - c*g + 1411 = 0. Is g a composite number? True Let w = 65 + -60. Suppose 335 = w*a + 45. Is a prime? False Suppose -4*q + 320 = -4*b, q + 30 = 2*b + 111. Suppose -4*j + 20 = 2*v, v + 11 = 6*j - j. Suppose 4*w - j*w - q = 0. Is w a composite number? False Let f(t) = 11*t - 9 + 12 - t. Let i be f(6). Let q = 436 - i. Is q composite? False Suppose 13*y + 5 = 12*y. Let b = y - -2. Let f(s) = -5*s - 4. Is f(b) composite? False Let q(c) = -6475*c - 13. Is q(-2) a composite number? True Suppose 0 = -o - 4*m + 3575, 3620 = o - m - 4*m. Is o prime? False Let x = 18 - 16. Suppose 4*b = m - 119 + 463, -x*m = 5*b - 430. Let z = 165 - b. Is z a composite number? False Let s(x) = 214*x**3 - 2*x**2 - 13*x + 2. Is s(3) prime? False Let g(i) = 3393*i**2 - i + 3. Let x(d) = 3394*d**2 + 3. Let b(n) = 4*g(n) - 3*x(n). Is b(1) a composite number? False Suppose 3059199 = 133*q - 34*q. Is q composite? True Let r(j) = -j**2 + 2. Let y be r(0). Is (-159224)/(-56) - y/7 composite? False Let x(z) = 2*z**2 + z - 1. Let u be x(2). Suppose 897 = -u*c + 8*c. Let f = c + 1710. Is f prime? False Suppose 0 = -5*r - 10, 228474 = 4*g - 10*r + 11*r. Is g composite? False Let a(n) = -40*n - 3. Let y(c) = 7*c + 4 - 16*c + 10*c. Let w be y(-8). Is a(w) a prime number? True Suppose -4*s = -2 - 10. Suppose -s*z - z - 324 = 0. Let q = 164 + z. Is q prime? True Let j(o) = 32*o**2 + 37*o - 137. Is j(10) composite? False Let g(h) = 2*h**3 - 13*h**2 + 17*h - 21. Suppose 66 = 11*s - 5*s. Is g(s) a prime number? False Let l be 2/((-8)/20 - 0). Suppose -4*a = r - 13, r + 4 + 1 = 5*a. Is 1*54 + l + a composite? True Is 1287966/194 - 1*2 composite? False Let w = -6107 + 14386. Is w prime? False Let t = -7 + 8. Let b be t/(-2)*(-104)/13. Suppose -3*s + 5*i - b*i + 205 = 0, -355 = -5*s - 5*i. Is s prime? False Let n = 5 - 3. Suppose -3*k - n*j = -1247, 3*j + 2*j = 5*k - 2045. Is k a prime number? False Let h(a) = 39*a + 10. Is h(3) composite? False Suppose -5*a + 3783 = 2*g, -3*a + 3810 = 4*g - 3735. Suppose 0*y + 6*y = g. Is y composite? True Let y = -8 + 9. Is y/(-2)*(-4348)/2 composite? False Let i = -11836 - -42291. Is i composite? True Let a(b) = -16*b - 29. Suppose 2*z = z - 13. Is a(z) a prime number? True Let m be (-3)/(-12) + (-11)/(-4). Let
{ "pile_set_name": "DM Mathematics" }
e y(-7). Let c(t) = -t**2 - 2*t + 1. Let p be c(-3). Sort p, r, 3 in decreasing order. 3, p, r Suppose s + 3 = 2*d, -31 + 33 = -2*s. Let f = -8 - -4. Let y be 2*(-1)/f*-4. Sort y, 5, d in ascending order. y, d, 5 Let k = -196 + -1. Let u = -1373/7 - k. Let n be (-532)/456 - -1*(-1)/(-1). Sort u, -0.3, n in decreasing order. u, n, -0.3 Let l = -240 + 243. Sort -0.08, -0.9, l in decreasing order. l, -0.08, -0.9 Let c be 27/72 + (-145)/(-40). Sort 5, -7, c, 2. -7, 2, c, 5 Let x = -0.304 - -4.304. Put x, 0.1, 2/23 in descending order. x, 0.1, 2/23 Let j = 230 - 2528/11. Suppose 3*f - 4*f = 5. Sort f, 1/4, j. f, j, 1/4 Let v be 57/38*(-4)/(-15). Let u(s) = -s**2 - 6*s - 6. Let f be u(-4). Let x be f/(-3)*9/(-12). Sort 1/5, x, v in decreasing order. x, v, 1/5 Let s be (-10)/2*4*2/(-120). Sort -1/57, 1, s in decreasing order. 1, s, -1/57 Let u = -122 + 122.5. Sort -2/11, -2/7, u, -4 in decreasing order. u, -2/11, -2/7, -4 Let s = -377 + 377.2. Sort 0.1, s, 2/15, -0.3 in ascending order. -0.3, 0.1, 2/15, s Let j be (-210)/(-175)*(-5)/(-2). Suppose 3*s = 5*f - 3, -2*f - 4*s + 6*s = 2. Suppose o = 2*k - 7, -f*o - k - 17 = -6*k. Put j, 0, o in ascending order. 0, o, j Suppose -2*q + 31 = -5*g, 2*g - 14 = -3*q + 3*g. Suppose 5*h - 188 + 178 = 0. Sort h, 4, -7, q. -7, h, q, 4 Let n(i) = i**3 + 11*i**2 - 11*i + 14. Let j be n(-12). Suppose 16 = 6*x - j*x. Sort -5, x, 5 in decreasing order. 5, x, -5 Suppose 0 = -307*g + 288*g. Let h = -5/6 - -1/6. Put g, h, -7 in descending order. g, h, -7 Let t(h) = h**2 - 20*h + 18. Let u be t(19). Sort 7, -5, -2, u in decreasing order. 7, u, -2, -5 Let m = -108 + 113. Put m, 0.1, -1/4, 0.17 in descending order. m, 0.17, 0.1, -1/4 Suppose 4*k - 20 = 4*c - 2*c, 5*k + 3*c - 3 = 0. Sort k, 0.12, -0.07, -2 in decreasing order. k, 0.12, -0.07, -2 Let q be ((-2)/7)/(42/(-441)). Put -4, q, 1, -3 in ascending order. -4, -3, 1, q Let h = -74 - -53. Let b = -288 - -270. Let s = b - h. Sort 0.3, 1, s. 0.3, 1, s Let p = 10/3 - 67/21. Let j = 0.019 + -0.019. Sort 0.1, p, j, 0.3. j, 0.1, p, 0.3 Let j = -697/5 - -139. Suppose -3*o + 25 = -8*o. Sort o, -4, j in increasing order. o, -4, j Suppose -4*l + 64 = 4*o, -23 + 71 = 3*o - 4*l. Let j be 14044/(-18) + 4/18. Let g be 2/o - j/160. Put g, 9, -3 in decreasing order. 9, g, -3 Let m be (0 + (4 - 1))*(-2)/(-6). Let o be (-3)/(-9) + 0 - (-2)/(-6). Put -4, o, m, -5 in descending order. m, o, -4, -5 Let w = 18 - 32. Let k = -7.19 - 7.81. Let z = w - k. Sort -0.1, 2/13, z in descending order. z, 2/13, -0.1 Let o(v) = 27*v + 109. Let q be o(-4). Sort -5, 5, 8, q in ascending order. -5, q, 5, 8 Let q be 2/(-5) - (-153)/45. Suppose q*l - 15 = -2*l. Suppose -k - 16 = l*k. Sort k, -0.3, -1. k, -1, -0.3 Let k = -0.3 + 0. Let s = -558777/20 + 27939. Put s, k, -4 in decreasing order. s, k, -4 Suppose 2*m + 4*a - 6 = 2*a, -m - 3*a = -1. Sort -5, 1/8, m, -4/5 in ascending order. -5, -4/5, 1/8, m Let k(s) = -38*s + 52. Let a be k(2). Put a, -18, 1 in descending order. 1, -18, a Let j be -4 + (0 - (-1 - 0)). Let h(b) = -b**2 - 5*b - 9. Let u be h(j). Put 0, u, -5 in descending order. 0, u, -5 Let t = -102.1 + 101.1. Sort t, -14.4, 2, 5 in decreasing order. 5, 2, t, -14.4 Let z = 226 + -226.03. Sort z, 4, 0, 1/4 in ascending order. z, 0, 1/4, 4 Let t(i) = -i**2 + 10*i + 98. Let q be t(-6). Put q, -104, 0 in decreasing order. q, 0, -104 Let n be (-4)/4 - (-4)/1. Let h(i) = 47*i + 371. Let b be h(-8). Sort 0.13, b, n in ascending order. b, 0.13, n Let w(c) = 9*c**2 + 306*c - 5. Let v be w(-34). Sort 220, 1, v. v, 1, 220 Suppose -5 = 2*s + 5. Let c be -6 - s - (-1 + -7). Sort -2, c, 4 in ascending order. -2, 4, c Let a = 17 + -12. Let d(y) = y**2 - 13*y - 14. Let b(j) = -2*j**2 + 26*j + 29. Let x(z) = 2*b(z) + 5*d(z). Let q be x(14). Sort a, q, 4 in ascending order. q, 4, a Let y = 2.628 - 7.628. Suppose 0 = 5*z + 15, -2*f - 3*z = z + 2. Sort y, 1/2, f in ascending order. y, 1/2, f Let h be 8/6*(-1 + -6 + 19). Sort -4, -5, h in decreasing order. h, -4, -5 Let m = 367/840 + -1/120. Put 3, -3/40, 4/5, m in descending order. 3, 4/5, m, -3/40 Suppose -2*m + 16 = -4*m. Let c be m/(-6)*(-19)/76. Let w = 3 + -6. Sort w, -6, c in descending order. c, w, -6 Let l = -34.48 + 41.6. Let t = l + -0.12. Let b = -3 + t. Put b, -0.1, 0.1 in descending order. b, 0.1, -0.1 Let r = -17 - 0. Let a = -4 + r. Let d = a - -20. Sort -5, d, -4 in decreasing order. d, -4, -5 Let y = 424.2 + -424. Let d = -0.18 - -0.28. Sort -4, d, -1, y in decreasing order. y, d, -1, -4 Let y(t) = -2*t + 16. Let k be y(8). Suppose k*m = -m. Suppose u - 9 = -0*u + 5*l, -l - 1 = 0. Sort u, -1, m. -1, m, u Suppose -86 = -6*f - 20. Let n = 0.029 - 2.029. Put n, 5, f in decreasing order. f, 5, n Let a(y) = y**3 - 3*y**2 + y - 11. Let o be a(3). Sort -2, o, -23 in increasing order. -23, o, -2 Let k = 89 - 87. Sort -1/31, -1, k. -1, -1/31, k Let j = -0.332 - -72.332. Sort -0.5, -3, j in descending order. j, -0.5, -3 Let m be 61/(-78) - (-19)/114. Let h = -23/26 + m. Suppose 3 = -3*q - 9. Sort h, -1, q in increasing order. q, h, -1 Let k = 260 - 269. Put k, 2, -3 in descending order. 2, -3, k Let n be (0 - 1)*(-8 + 8). Let w(s) = -s**2 + 17*s + 3. Let x be w(17). Sort 6, n, x in decreasing order. 6, x, n Let k = 1118 + -1122.97. Let m = -0.97 - k. Put 2, m, 1 in decreasing order. m, 2, 1 Suppose -31*k + 11 = -20. Put -136, -1, k in decreasing order. k, -1, -136 Suppose -3*i = 4*g - 9, i - 1 = -g + 2. Let k = i - 6. Let m be k + 15*3/9. Put 3, m, -3 in descending order. 3, m, -3 Let a(y) = y**2 - 3*y + 1. Let c be a(4). Suppose 2 = b + k - 1, 15 = c*b + 4*k. Let p = 28 + -24. Put b, -4, p in descending order. p, b, -4 Suppose 0 = 3*r + n + 19, -r + 3*n + 1 + 6 = 0. Sort 0, 35, -4, r in increasing order. r, -4, 0, 35 Let n = 7485/7 - 1069. Put -3, n, 74, -1/4 in decreasing order. 74, n, -1/4, -3 Let f = -953/4 - -237. Let n = -1283 - -1286. Put 0.1, n, f in increasing order. f, 0.1, n Let g = 0.07 + 2.93. Let w(z) = 4*z - 8. Let c be w(3). Suppose 0 = -2*u + 4*u - c. Sort g, u, 1/3 in ascending order. 1/3, u, g Let v(j) = j**2 + 13*j - 46. Let t be v(-16). Sort t, 6, -7. -7, t, 6 Let m be 2/144*9*2. Put -2, -78, -5, m in ascending order. -78, -5, -2, m Let d = 2 + -2.2. Let a = 4.5 - -0.5. Let r = 14 - 14.3. Sort r, a, d. r, d, a Let u(m) = -6*m + 226. Let a be u(14). Sort a, 4, -4, 0 in ascending order. -4, 0, 4, a Let m = 31/5 + -119/20. Sort 8, 2/7, 0.4, m. m, 2/7, 0.4, 8 Let b be (1 + 0)/((-3 - -6)/(-9)). Sort b, 3, -3/17 in decreasing order. 3, -3/17, b Suppose 48*a - 30 = 42*a. Let d(q) = -q**3 - 3*q**2 + 4*q. Let m be d(-4). Put a, -3, m in ascending order. -3, m, a Let x(p) = -p**2 + 12*p - 33. Let w be x(7). Suppose 13 = -5*h + 38. Sort w, 7, -4, h in increasing order. -4, w, h, 7 Let s = -2081/9 - -231. Let q = 5.2 - 1.2. Put q, s, 5 in descending order. 5, q, s Let c(t) = -t**3 - 3*t**2 - 4*t. Let d be c(-2). Suppose d*n + 21 = 9. Sort -8, -2, n, -1. -8, n, -2, -1 Suppose -7*k + 5*k + 50 = 0. Suppose -8*a + 13*a - k = 0. Suppose d + a = 3. Put 0, 4, d in descending order. 4, 0, d Let f be 6/(-1 + (-32)/(-20)). Suppose -f = 2*w + 4*c, 0*w - 5*w = 3*c + 4. Let g = 5 + -7. Sort -5, w, g in descending order. w, g, -5 Let p be -3 + (-180)/(-16) + -8. Put 3, 43, p, -2 in decreasing order. 43, 3, p, -2 Suppose 0*r = 2*r + 8. Let x = 87 - 89. Let p = -4 - 1. Put x, r, p in decreasing order. x, r, p Let m = -0.05 + -25.95. Let k = -25.8 - m. Put 3, -0.3, -5, k in decreasing order. 3, k, -0.3, -5 Suppose -11 = -3*l + 7. Suppose -3*z + 7 = -4*p, -15*z - 25 = -18*z - 5*p. Sort l, z, -4 in ascending order. -4, z, l Let p be -6*((-3)/63 - (-10)/(-35)). Suppose -p*n + 21 = 5*n. Sort -2, -5, n in ascending order. -5, -2, n Let u = -338 - -343. Put -4, -5, -25, u in descending order. u, -4, -5, -25 Let y = 0.03 + 0.07. Let v = y + -0.1. Sort v, 0.11, 2. v, 0.11, 2 Let i(t) = -9*t**2 + 2*t - 1. Let v(y) = y**2 - 3*y - 17. Let h be v(6). Let l be i(h). Put 3, -2, l, 4 in increasing order. l, -2, 3, 4 Let r = 0.37 + -0.2. Let w = 0.21 - r. Let u = w + -0.44. Sort -2, 5, u in decreasing order. 5, u, -2 Let s = -30.5 - -30.3. Sort 1/4, -1, s, 1/5 in decreasing order. 1/4, 1/5, s, -1 Let n be (5/(-2))/(2/(-4)). Suppose -4*b = 40 + 96. Let v = 30 + b. Sort v, n, -6. -6,
{ "pile_set_name": "DM Mathematics" }
2/7)*r**(2/9)/r)/(r*r**3*r*r**29) assuming r is positive. r**(-2146/63) Simplify (((t/(t/(t/t**(-5/9))))/t)/t*(((t**(1/16)/t)/t)/t)/t)**(-40) assuming t is positive. t**(3155/18) Simplify ((q/(q*q*q/q**(-3/2))*q**(-3))**(-3/8))**(2/9) assuming q is positive. q**(13/24) Simplify ((f**2/(f/f**(-2/37)))/(f**1*f)**(3/11))**(-5) assuming f is positive. f**(-815/407) Simplify (l*(l*l*l**(-1/21)*l*l*l)/l*l/l**(-4/5))/((l**(-9/4)*l)/(l/l**(2/11))) assuming l is positive. l**(40751/4620) Simplify (i**(1/2)*i)/(i/i**(-27))*(i**(27/4)*i)/i**19 assuming i is positive. i**(-151/4) Simplify (r**0*r**(6/11)/r)/(r**(-2/7))**(3/8) assuming r is positive. r**(-107/308) Simplify (z/(z**18/z)*z*z)/(z*z/((z/((z/(z**(3/8)*z))/z))/z))*z/z**(4/5)*z*z/(z/(z*(z**(-4/7)/z)/z*z)) assuming z is positive. z**(-3919/280) Simplify l/(l*l/(l*(l*l*l**22)/l)*l)*l**(-27)*l*(l*l**(-7))**(-41) assuming l is positive. l**242 Simplify (p**(-1/8))**(-39)*p/p**(-23)*p/(p**(4/11)/p*p) assuming p is positive. p**(2597/88) Simplify ((f**(-2/5)*f)**13/(f/f**(-3/2))**(-4/9))**(2/71) assuming f is positive. f**(802/3195) Simplify z/(z/(z**(2/19)/z))*z/(z/((z**(-2/7)/z)/z))*z*z*z**(-3/7)*z**(-8) assuming z is positive. z**(-1278/133) Simplify (v*v/v**(2/13))**(-3/44)/((v/(v*v**(-13)))/(v*v**(-12))) assuming v is positive. v**(-3450/143) Simplify (i**(9/2)/i)**(-2/13)/((i**(-6)*i)/i**(-2)) assuming i is positive. i**(32/13) Simplify (w/(w*w**3*w))**(-6)*(w**(-17)*w)/(w/(w*w**(-18/11))) assuming w is positive. w**(70/11) Simplify ((o**(2/5)/o)/o*o*o)**(-21/8)/(o**(-1))**10 assuming o is positive. o**(179/20) Simplify ((o**(3/7))**(1/58))**(-8/9) assuming o is positive. o**(-4/609) Simplify (((u**7/u)/(u/u**(4/5)))**32)**(4/13) assuming u is positive. u**(3712/65) Simplify (m**5/(m/m**(1/11)*m)*(m*m**(2/21))/(m*m*m**(-6)))**(7/8) assuming m is positive. m**(1891/264) Simplify (p**(-2/9)/p)/(p**(2/45)*p)*(p**(18/7)*p)**2 assuming p is positive. p**(512/105) Simplify (k/(k**0*k*k))/k**(4/7)*(k**12/k)/(k/(k*k**(-7/4))) assuming k is positive. k**(215/28) Simplify u**(9/4)/(u*u**(15/7))*(u**1)**(-12) assuming u is positive. u**(-361/28) Simplify (v**(1/8)/(((v*(v/(v**(-1/3)*v))/v*v)/v*v)/v*v))/((v**(-8)*v)/(v/((v*v**(-5/7))/v))) assuming v is positive. v**(1261/168) Simplify (u*(u*u**(-8)*u)/u*(u**(-6)/u*u)/u*u)/(u**(2/27)/u*u*u*u**(-7/6)/u*u) assuming u is positive. u**(-643/54) Simplify ((k/(k*k*k*k**3*k)*k)/k*k/(k/k**(-11/6)))/(((k**(-2/3)/k)/k)/k*k)**(-8/15) assuming k is positive. k**(-833/90) Simplify (z**(-10)*z**2/z)/(z/(z/((z/((z/(z/((z/(z*z**(-5)))/z)))/z))/z))*z**(1/12)) assuming z is positive. z**(-73/12) Simplify o**(-1/4)*o/o**12*(o**(-7)*o)**(9/11) assuming o is positive. o**(-711/44) Simplify (t**(-11))**38*t**(-2)/t**(-5/6) assuming t is positive. t**(-2515/6) Simplify (s*s*s**(2/19)*s*s*s*s**(-23))/(s**21*s**3) assuming s is positive. s**(-796/19) Simplify ((l*l*l/(l**4/l))/(l/(((l/l**1)/l*l)/l)))/(l/(l**(-3)/l))**(1/4) assuming l is positive. l**(-13/4) Simplify (w**(2/27)/w**(2/11))/(w**(-2/3)/w**(2/11)) assuming w is positive. w**(20/27) Simplify ((j/(j/j**(-9)))/j*j*j**(-1/18))**(-44) assuming j is positive. j**(3586/9) Simplify ((l*l**9)/l*l/((l*l/l**(-1/18))/l*l))/((l*l**(2/3)*l*l*l*l)/l)**(-2/9) assuming l is positive. l**(485/54) Simplify (q**(-27)*q**(2/3)*q)**(-3/2) assuming q is positive. q**38 Simplify (v**(-4))**15/((v/(v*v**(-2/5)))/v*v**(-4/7)) assuming v is positive. v**(-2059/35) Simplify ((w*w/(w*w**(-16/5)))/w)/w*w**(-4)/w*w*(w/((w**(-10)/w)/w))**(-4/5) assuming w is positive. w**(-61/5) Simplify g**(-1/15)*g**(-13)/g*((g/((g*g*g/(g*g**(-1/3))*g)/g))/g)**(-5) assuming g is positive. g**(-12/5) Simplify ((y**15/(y*y*(y**(-1)/y*y)/y))**19)**(-4/5) assuming y is positive. y**(-228) Simplify (h*(h*h*h/((h/h**(-1/5))/h*h*h))/h)**(-1/61)/(h/(h**5*h))**(-5) assuming h is positive. h**(-7629/305) Simplify (a*a**(-3/4)*a*a*a)**(1/26)/((a*a**21)/(a/(a*a**7))) assuming a is positive. a**(-231/8) Simplify ((f*f/(f/(f*f/f**(2/15)*f*f*f)))/((f/(f*(f/(f**(-3/4)*f))/f*f))/f)*f**(-8)/(f/(f/(f*(f**0*f*f)/f))))**(-2/15) assuming f is positive. f**(143/450) Simplify (t/t**(-1/4))**(11/6)/(((t/t**(-5))/t*t)/t*(t**(-9)*t)/t) assuming t is positive. t**(151/24) Simplify ((l/(l/(l/l**7*l)))/l*l**15*l)/(l**2)**(-14/11) assuming l is positive. l**(138/11) Simplify (c**4*c*c/(c*c/(c*(c*c*c/(c/c**(-8))*c)/c)))/(c**(-12)/c*c**0) assuming c is positive. c**12 Simplify ((m**(-1/4)*m)**12/((m/((m**7/m)/m)*m)/(m**(-3)/m)))**4 assuming m is positive. m**32 Simplify ((l**(-2/3)/l**(2/7))**(-50))**(-13) assuming l is positive. l**(-13000/21) Simplify ((i*i**8)/i**(-6))/(i**(34/5)/(i**(-2/3)/i)) assuming i is positive. i**(98/15) Simplify (h**(5/7)*h*(h*h**22)/h)/(h**(-6/5))**(-47) assuming h is positive. h**(-1144/35) Simplify ((o*o**(2/35)/o*o)/o*(o/o**(-2/3))/o)/((o/(o**8/o)*o*o)/(o/o**(-22))) assuming o is positive. o**(2911/105) Simplify ((t**(2/9))**(-22)*t**(-4/7)*t*t**13)**(-1/20) assuming t is positive. t**(-269/630) Simplify (w**2*w*w/(w/(w**(-1/9)/w))*w)/(((w**21/w*w)/w)/w**(-7)) assuming w is positive. w**(-217/9) Simplify (g/g**(-2/5)*g*g/g**(-17)*g*g)/(g*g**(-14)*g*g*g*g**4) assuming g is positive. g**(142/5) Simplify h**(2/9)*h**(-3/7)*h**(-7)/(h*h/(h/(h*h*h**(-23)))) assuming h is positive. h**(806/63) Simplify (u**14*u*u**(-7))/(u**(-1/4)*u/u**(-4/21)) assuming u is positive. u**(593/84) Simplify ((l**1*l*l)**13*l**7*l**(4/7))**(-1/52) assuming l is positive. l**(-163/182) Simplify (a**13/a)**(-1/30)/(a/(a**(-13/4)/a))**(8/13) assuming a is positive. a**(-236/65) Simplify (((o**(6/13)*o)/o)/(o/((o**(2/55)*o)/o)))/(o**4/o)**2 assuming o is positive. o**(-4649/715) Simplify ((y*(y/y**(-9))/y*y)/(y*y**25))**22 assuming y is positive. y**(-330) Simplify (b**(2/13))**25*(b**(-2/9)/b)**34 assuming b is positive. b**(-4412/117) Simplify (((y**(-4)/y)/y*y**4)/(y/y**0)**(-9/7))**41 assuming y is positive. y**(-205/7) Simplify (((z/((z**6*z)/z))**48)**16)**(-3/16) assuming z is positive. z**720 Simplify (d*d**(-2/5)*d**(-2/5))/(d**2*d)**24 assuming d is positive. d**(-359/5) Simplify (((t**(-12)/t)/t)/t**7)/((t*t**5*t*t)/t*t/t**(-2/7)) assuming t is positive. t**(-205/7) Simplify ((h**9*h)/h)/(h/h**(-3))*(((h**(2/13)/h)/h)/h*h)**(-7/8) assuming h is positive. h**(86/13) Simplify s**12/(s/(s**2*s))*s/s**(3/5)*s*((s/((s**(1/2)*s)/s))/s)/s assuming s is positive. s**(139/10) Simplify ((u**6*u**(-3))/(((u/u**(-2/7))/u)/u**0))**(-15/4) assuming u is positive. u**(-285/28) Simplify ((d/(d*d/(d/((d**4*d)/d*d)))*d**(-1/9))**(4/3))**5 assuming d is positive. d**(-920/27) Simplify (s**9*s/(s/((s/s**(1/25)*s)/s)))/((s/(s/(s/(s*s**4*s))))/((s*s*s**(-13))/s)) assuming s is positive. s**(74/25) Simplify (x*x/(x*x/(x/(x*x/x**(-16/9))*x)*x)*x)**(-35)*(x**(-9)*x)**12 assuming x is positive. x**(-304/9) Simplify (((n**(-6/11)*n)/(n*n*n**(-9/8)))**(-37/5))**13 assuming n is positive. n**(17797/440) Simplify ((l*l/((l/l**(-3))/l*l))/(l*l*l**(-2))*l/(l/(l**(-5)/l*l))*l*(l*l/(l**2/l)*l)/l)**(-6) assuming l is positive. l**30 Simplify ((c/(c/(c*c**(-7)*c*c)))/(c/((c**(10/3)*c)/c)))/(c**(-2/7))**1 assuming c is positive. c**(-29/21) Simplify (y/(y*y**(-2/9))*y)/y**22*y*y/(y*y*y**(-34)*y)*y/(y/(y/y**31)) assuming y is positive. y**(-160/9) Simplify (c/c**4)**(-9/2)/(c/(((c/(c/((c/(c*c**6*c))/c)))/c)/c)*c*c**(-20)/c) assuming c is positive. c**(45/2) Simplify ((a*a*a**(-1))/(a**(-1/14)/a*a))/(((a/a**(-1/61))/a)/a*(a/a**6)/a) assuming a is positive. a**(6879/854) Simplify (d*d**(-4)*d)**(-25)/(((d/(d**21*d))/d)/d**(-7/6)) assuming d is positive. d**(425/6) Simplify ((z/z**3*z*z/z**3)**(-16))**(-4) assuming z is positive. z**(-192) Simplify (b/(b*(b**8/b)/b*b))**(-18)*b/(b/((b*b**(-1/5))/b*b))*b/((b**(-19)/b)/b)*b*b assuming b is positive. b**(754/5) Simplify (q**(-7)/(q/(q/((q*q/(q/((q/q**(6/11))/q)))/q)))*q/(q**1/q)*q*q**2)**(-2/75) assuming q is positive. q**(18/275) Simplify (((b**(1/4)/b)/b*b*b)/(b/((b**(15/2)/b)/b*b)))/((b*(b*b**(1/13)*b)/b)/b**17) assuming b is positive. b**(1075/52) Simplify ((v*v**14/v*v)/(v**(-4/11)/v))/(v**(-26)*v*v/(v/((v*v/((v/v**(-3/8))/v))/v))) assuming v is positive. v**(3585/88) Simplify ((a*a**1)/a)**(-1/20)/((a/(a*((a**9*a)/a)/a))/a**(-5)) assuming a is positive. a**(59/20) Simp
{ "pile_set_name": "DM Mathematics" }
7, -42739, -43951, -45163, -46375? -47587 What comes next: -2535, -9158, -20193, -35634, -55475, -79710? -108333 What comes next: -22714, -21277, -19840, -18403, -16966? -15529 What is the next term in -6186, -12285, -18310, -24261, -30138, -35941, -41670? -47325 What is the next term in 1052772, 2105543, 3158364, 4211259, 5264252, 6317367? 7370628 What comes next: -8228, -11084, -8568, -680? 12580 What is the next term in 2881, 2302, 1725, 1150, 577? 6 What is next in -2500, -3315, -4678, -6601, -9096, -12175, -15850, -20133? -25036 What is next in -22001, -21475, -20061, -17315, -12793, -6051, 3355, 15869? 31935 What is the next term in -501, -2246, -5129, -9090, -14069? -20006 What comes next: 80107, 160555, 241007, 321463, 401923, 482387, 562855? 643327 What is the next term in -1521, -1745, -1985, -2247, -2537, -2861? -3225 What is the next term in -70504602, -141009205, -211513806, -282018405, -352523002, -423027597, -493532190? -564036781 What is the next term in -45321, -68584, -91847? -115110 What is the next term in 796, 1861, 2926, 3991, 5056, 6121? 7186 What is the next term in 17686, 70878, 159532, 283648, 443226? 638266 What is next in 2205945, 4411873, 6617801, 8823729? 11029657 What is the next term in 15185, 15084, 15005, 14960, 14961, 15020, 15149? 15360 What comes next: 415, 1067, 1749, 2485, 3299? 4215 What is next in -704093, -704117, -704141, -704165, -704189, -704213? -704237 What is the next term in 244091, 1952658, 6590179, 15621128, 30509979, 52721206, 83719283? 124968684 What is the next term in 93516, 93681, 93846, 94011? 94176 What is the next term in -47716, -79401, -111096, -142807, -174540? -206301 What comes next: 24783643, 24783638, 24783623, 24783592, 24783539, 24783458? 24783343 What is the next term in 33871496, 135485978, 304843448, 541943906, 846787352, 1219373786, 1659703208? 2167775618 What is next in -42679206, -42679209, -42679212, -42679215? -42679218 What comes next: 12560327, 12560322, 12560315, 12560306, 12560295, 12560282? 12560267 What is next in -7339669, -14679338, -22019007, -29358676, -36698345? -44038014 What is the next term in 150867, 301788, 452709, 603630, 754551, 905472? 1056393 What is next in 1336, -2551, -13100, -33641, -67504? -118019 What is next in 21640, 39851, 70202, 112693, 167324, 234095? 313006 What is next in 309, -329, -1019, -1791, -2675? -3701 What comes next: 6415137, 12830284, 19245431, 25660578, 32075725? 38490872 What comes next: 48755, 48551, 48345, 48137, 47927, 47715? 47501 What comes next: -871474, -871435, -871392, -871345? -871294 What is the next term in -522342, -1044988, -1567634, -2090280? -2612926 What is the next term in 654, 1686, 3424, 5868, 9018, 12874, 17436? 22704 What is next in -257, -753, -1597, -2909, -4809? -7417 What is next in -26988, -56295, -85602, -114909, -144216? -173523 What is next in -38672, -154697, -348072, -618797? -966872 What comes next: 3284273, 13137057, 29558345, 52548125, 82106385, 118233113? 160928297 What comes next: 625, 639, 701, 835, 1065, 1415, 1909? 2571 What is next in 20369069, 40738175, 61107281, 81476387, 101845493, 122214599? 142583705 What is next in 45630, 45537, 45444, 45351, 45258? 45165 What is next in 20567197, 41134401, 61701613, 82268833? 102836061 What comes next: 492230, 492219, 492208? 492197 What is the next term in 239799, 959263, 2158391, 3837177, 5995615, 8633699, 11751423, 15348781? 19425767 What is the next term in 4070, 14699, 31918, 55733, 86150, 123175? 166814 What is the next term in 47232, 188627, 424194, 753933? 1177844 What comes next: 31145857, 62291786, 93437713, 124583638, 155729561? 186875482 What is next in 161876, 161898, 161946, 162032, 162168, 162366, 162638? 162996 What is the next term in 7602591, 7602589, 7602587, 7602585, 7602583? 7602581 What comes next: -193377, -386685, -579971, -773223, -966429, -1159577? -1352655 What is next in 10206015, 20412036, 30618057, 40824078, 51030099, 61236120? 71442141 What comes next: -3179980, -6360195, -9540410? -12720625 What comes next: -374745, -749421, -1124097, -1498773? -1873449 What comes next: -30474, -122296, -275334, -489588, -765058, -1101744, -1499646? -1958764 What comes next: 33603046, 33603048, 33603050, 33603052? 33603054 What is the next term in -2426, -3172, -4366, -6002, -8074, -10576, -13502, -16846? -20602 What comes next: 3385663, 3385664, 3385665, 3385666, 3385667? 3385668 What is the next term in 447419, 447442, 447479, 447530? 447595 What comes next: -163, 3465, 9509, 17969, 28845? 42137 What is next in -117008, -115621, -111860, -104537, -92464, -74453, -49316, -15865? 27088 What comes next: 80846, 161056, 241266? 321476 What is next in 481300, 962672, 1444044, 1925416? 2406788 What is the next term in 3672, 7535, 11610, 15915, 20468? 25287 What is the next term in 3285159, 6570316, 9855471, 13140624, 16425775, 19710924, 22996071? 26281216 What is the next term in 20423, 40866, 61347, 81866, 102423, 123018? 143651 What comes next: 1747, 2020, 2783, 4282, 6763? 10472 What comes next: 11805, 17362, 22919? 28476 What is next in 73007028, 73007030, 73007032, 73007034, 73007036, 73007038? 73007040 What comes next: -5025638, -10051272, -15076906, -20102540? -25128174 What is the next term in 44734, 44789, 44880, 45007, 45170, 45369, 45604? 45875 What comes next: 17050, 16222, 15394? 14566 What comes next: -17308498, -34616989, -51925478, -69233965? -86542450 What comes next: 813, 6596, 22369, 53148, 103949, 179788, 285681, 426644? 607693 What comes next: -9727, -9386, -8847, -8104, -7151, -5982, -4591, -2972? -1119 What is the next term in -63807, -63835, -63861, -63885? -63907 What comes next: 95193, 380782, 856773, 1523166, 2379961, 3427158, 4664757? 6092758 What comes next: -772, -3173, -7134, -12655, -19736, -28377, -38578? -50339 What comes next: 456196, 456293, 456386, 456475? 456560 What comes next: -25630904, -25630903, -25630902, -25630901? -25630900 What is the next term in 169218516, 169218514, 169218512? 169218510 What is next in 162, 195, 42, -363, -1086? -2193 What is the next term in -69876, -139721, -209564, -279411, -349268, -419141, -489036? -558959 What is next in 7441, 31359, 71707, 128491, 201717, 291391, 397519, 520107? 659161 What is next in 983, 1877, 2753, 3611, 4451? 5273 What comes next: -52, -379, -924, -1687, -2668, -3867? -5284 What is next in 3906, 3646, 3386, 3126, 2866? 2606 What comes next: 1546, 1637, 1866, 2299, 3002, 4041, 5482? 7391 What comes next: 42055, 168478, 379279, 674458? 1054015 What is the next term in 3709602, 3709611, 3709620? 3709629 What is next in 5659, 16727, 33039, 54589, 81371, 113379, 150607? 193049 What is the next term in -5203, -4868, -4433, -3850, -3071, -2048, -733? 922 What is next in 18524672, 18524660, 18524648, 18524636, 18524624? 18524612 What is next in -21797, -20658, -19525, -18398, -17277, -16162? -15053 What is the next term in -5507, -6180, -6853? -7526 What is next in -33281, -66568, -99855, -133142? -166429 What comes next: -1327, -4364, -9419, -16486, -25559, -36632, -49699, -64754? -81791 What is next in 1599606, 1599609, 1599612, 1599615? 1599618 What comes next: -1150658, -2301315, -3451970, -4602623, -5753274, -6903923? -8054570 What comes next: -6986, -14157, -21314, -28451, -35562, -42641? -49682 What comes next: 320, 626, 920, 1202, 1472, 1730? 1976 What is next in -66724656, -66724658, -66724660, -66724662, -66724664, -66724666? -66724668 What is the next term in 627447, 627493, 627561, 627663, 627811? 628017 What is the next term in 50749677, 50749679, 50749681, 50749683, 50749685? 50749687 What is the next term in 51184, 112683, 174182, 235681, 297180? 358679 What is next in 637565, 1275083, 1912601, 2550119? 3187637 What is next in -163752, -329112, -494472, -659832? -825192 What is the next term in 747, 1344, 2345, 3756, 5583? 7832 What is the next term in 159165038, 159165034, 159165030? 159165026 What is the next term in 153113, 1240499, 4191967, 9939557, 19415309, 33551263, 53279459? 79531937 What is the next term in 1145682, 2291347, 3437010, 4582671? 5728330 What is the next term in -23287815, -46575655, -69863485, -93151299, -116439091, -139726855, -163014585, -186302275? -209589919 What is next in 123627, 121442, 119257? 11707
{ "pile_set_name": "DM Mathematics" }
tre in millilitres? 21750 What is 698.9043 weeks in days? 4892.3301 What is 5/4 of a millennium in years? 1250 How many millilitres are there in 6/25 of a litre? 240 How many millilitres are there in eleven quarters of a litre? 2750 How many days are there in 3642237.9 minutes? 2529.331875 How many months are there in 6283.254 millennia? 75399048 How many centimeters are there in 7/2 of a meter? 350 What is 7.797437ml in litres? 0.007797437 What is 43/2 of a day in minutes? 30960 What is 1/10 of a kilometer in meters? 100 What is one quarter of a litre in millilitres? 250 What is 0.8364518l in millilitres? 836.4518 What is 6542.427ug in nanograms? 6542427 How many millilitres are there in 3/5 of a litre? 600 How many micrograms are there in 34876.81kg? 34876810000000 How many years are there in 20.557452 months? 1.713121 Convert 64.57525 millilitres to litres. 0.06457525 How many seconds are there in 3/32 of a week? 56700 How many decades are there in 19894.6 centuries? 198946 Convert 54904.95 millimeters to micrometers. 54904950 How many centuries are there in 2591.646 months? 2.159705 How many millennia are there in 337590.2 decades? 3375.902 How many milliseconds are there in one quarter of a second? 250 What is five eighths of a litre in millilitres? 625 What is 6/5 of a litre in millilitres? 1200 Convert 2.1998157 months to millennia. 0.000183317975 Convert 0.1599601 hours to seconds. 575.85636 How many kilometers are there in 550.1029 nanometers? 0.0000000005501029 What is 3/5 of a litre in millilitres? 600 What is 13/4 of a millennium in decades? 325 What is 44/5 of a microsecond in nanoseconds? 8800 What is three sixteenths of a millennium in months? 2250 Convert 7399.249 millilitres to litres. 7.399249 How many millimeters are there in 3/40 of a kilometer? 75000 How many milliseconds are there in 13/8 of a minute? 97500 What is 64/5 of a litre in millilitres? 12800 What is 7/16 of a minute in milliseconds? 26250 How many micrometers are there in 6391.51 millimeters? 6391510 How many millilitres are there in 57/2 of a litre? 28500 How many millimeters are there in 1/4 of a meter? 250 How many centuries are there in 0.2669409 decades? 0.02669409 Convert 89.67677 meters to millimeters. 89676.77 What is 13/4 of a litre in millilitres? 3250 What is 6031.54l in millilitres? 6031540 What is fourty-nine fifths of a millennium in centuries? 98 What is 2.05352 millimeters in micrometers? 2053.52 How many milligrams are there in eighty-eight fifths of a gram? 17600 Convert 5.18607 centuries to decades. 51.8607 How many decades are there in twenty-nine fifths of a century? 58 How many milligrams are there in 3/50 of a gram? 60 Convert 231.7642g to kilograms. 0.2317642 What is one tenth of a litre in millilitres? 100 How many seconds are there in 10/9 of a day? 96000 How many micrometers are there in 45/4 of a millimeter? 11250 What is 112.2423mm in centimeters? 11.22423 What is 3/40 of a decade in months? 9 Convert 65.21738m to centimeters. 6521.738 Convert 7.416504 millennia to centuries. 74.16504 Convert 745.0548 weeks to minutes. 7510152.384 How many seconds are there in 1/36 of a day? 2400 What is 0.4538098s in microseconds? 453809.8 How many millilitres are there in seven quarters of a litre? 1750 How many minutes are there in 7/4 of a hour? 105 How many millimeters are there in three tenths of a meter? 300 What is twenty-one quarters of a millennium in years? 5250 How many millilitres are there in 3/5 of a litre? 600 What is 3/40 of a gram in milligrams? 75 How many litres are there in 7.783656 millilitres? 0.007783656 Convert 7374.566 hours to seconds. 26548437.6 How many centimeters are there in 11/4 of a meter? 275 Convert 46.9586 millennia to months. 563503.2 How many centuries are there in twenty-one halves of a millennium? 105 What is 79.73027ml in litres? 0.07973027 What is 3/5 of a second in milliseconds? 600 Convert 1973.384t to micrograms. 1973384000000000 How many micrometers are there in 939647.4 nanometers? 939.6474 How many months are there in thirteen eighths of a decade? 195 Convert 0.6324866 milligrams to grams. 0.0006324866 How many kilometers are there in 288200.1 meters? 288.2001 Convert 6.566265cm to millimeters. 65.66265 Convert 75.55976 millimeters to meters. 0.07555976 What is twenty-one quarters of a gram in milligrams? 5250 How many micrograms are there in 55/4 of a milligram? 13750 How many months are there in 1/5 of a decade? 24 What is 47/4 of a microgram in nanograms? 11750 How many kilograms are there in twenty-one quarters of a tonne? 5250 How many grams are there in 1/4 of a kilogram? 250 Convert 3281.527 hours to nanoseconds. 11813497200000000 What is 1106549.91s in days? 12.807290625 How many hours are there in 669415.9 weeks? 112461871.2 How many seconds are there in seven thirds of a hour? 8400 What is 7/4 of a litre in millilitres? 1750 Convert 1889.675 tonnes to kilograms. 1889675 What is 3/5 of a microgram in nanograms? 600 How many grams are there in three fifths of a kilogram? 600 What is twenty-one quarters of a week in minutes? 52920 How many months are there in 21/4 of a millennium? 63000 What is 6/25 of a millimeter in micrometers? 240 How many micrograms are there in 0.5394675mg? 539.4675 Convert 1.026912ng to kilograms. 0.000000000001026912 How many kilograms are there in one tenth of a tonne? 100 How many micrograms are there in 3/32 of a gram? 93750 Convert 4.99954kg to micrograms. 4999540000 What is 577.4722 centimeters in nanometers? 5774722000 What is 274.3386 litres in millilitres? 274338.6 What is 9.706708 tonnes in nanograms? 9706708000000000 What is 2.8497936 nanoseconds in minutes? 0.00000000004749656 What is 1/4 of a year in months? 3 What is seven eighths of a microgram in nanograms? 875 How many millilitres are there in 75/2 of a litre? 37500 How many hours are there in 794.28546ms? 0.00022063485 Convert 3.73758 millilitres to litres. 0.00373758 What is one quarter of a litre in millilitres? 250 What is one tenth of a kilometer in meters? 100 How many months are there in twenty-two fifteenths of a century? 1760 How many litres are there in 1.321145 millilitres? 0.001321145 What is 5/6 of a minute in milliseconds? 50000 Convert 322.582 days to hours. 7741.968 How many grams are there in 84.563 kilograms? 84563 What is twenty-nine fifths of a micrometer in nanometers? 5800 How many micrometers are there in 8.277478 kilometers? 8277478000 Convert 5809.344ms to minutes. 0.0968224 Convert 8.922204 millilitres to litres. 0.008922204 What is 11/4 of a gram in milligrams? 2750 What is 12/25 of a millimeter in micrometers? 480 What is 4626.892 milligrams in grams? 4.626892 What is 72/5 of a centimeter in millimeters? 144 How many minutes are there in 55/2 of a day? 39600 What is 1/30 of a century in months? 40 What is 1/16 of a week in seconds? 37800 What is 1/5 of a litre in millilitres? 200 What is one quarter of a litre in millilitres? 250 What is thirteen quarters of a century in years? 325 What is 10942.269 seconds in minutes? 182.37115 What is one fifth of a litre in millilitres? 200 What is 5/4 of a milligram in micrograms? 1250 What is 9/10 of a millennium in months? 10800 What is 25/4 of a millisecond in microseconds? 6250 What is sixty-three eighths of a gram in milligrams? 7875 How many litres are there in 947119.9 millilitres? 947.1199 How many centimeters are there in 25/2 of a meter? 1250 What is 2674.073 nanometers in meters? 0.000002674073 Convert 7.486032 days to minutes. 10779.88608 Convert 1.535459l to millilitres. 1535.459 What is three fifths of a meter in millimeters? 600 How many kilograms are there in twenty-five quarters of a tonne? 6250 What is 87.46344 hours in nanoseconds? 314868384000000 What is 3/10 of a millennium in centuries? 3 What is 1/6 of a hour in minutes? 10 What is 13/5 of a tonne in kilograms? 2600 How many nanometers are there in eighty-seven fifths of a micrometer? 17400 How many decades are there in 18.629379 months? 0.155244825 How many months are there in seventeen quarters of a millennium? 51000 How many centimeters are there in 6757.552 millimeters? 675.7552 How many millilitres are there in nineteen quarters of a litre? 4750 What is one
{ "pile_set_name": "DM Mathematics" }
of picking 1 g and 2 v. 3/110 Two letters picked without replacement from bpptfvvbpefp. What is prob of picking 2 p? 1/11 Four letters picked without replacement from eewnfeeeewefvewve. What is prob of picking 1 v, 1 e, and 2 f? 9/1190 Four letters picked without replacement from {k: 3, y: 13}. What is prob of picking 4 y? 11/28 Two letters picked without replacement from hobpphoxxhmx. Give prob of picking 1 x and 1 h. 3/22 Two letters picked without replacement from aalandlaaadddllnn. Give prob of picking 2 d. 3/68 Calculate prob of picking 4 p when four letters picked without replacement from bppppppp. 1/2 What is prob of picking 1 r and 1 u when two letters picked without replacement from ruuuuuurrrururrmr? 8/17 Calculate prob of picking 1 s, 1 f, and 2 y when four letters picked without replacement from yssssyysiyf. 1/11 Four letters picked without replacement from nnnbenbnbenbnn. What is prob of picking 3 b and 1 e? 8/1001 What is prob of picking 1 c and 1 q when two letters picked without replacement from qqccxx? 4/15 Four letters picked without replacement from {g: 5, s: 2, w: 3}. Give prob of picking 2 g and 2 w. 1/7 What is prob of picking 3 x when three letters picked without replacement from {x: 8, k: 3}? 56/165 Calculate prob of picking 2 j and 1 c when three letters picked without replacement from ccjxcjjxcxxxxj. 6/91 What is prob of picking 1 y and 1 c when two letters picked without replacement from {y: 4, w: 2, d: 4, c: 10}? 4/19 Two letters picked without replacement from qtttttqbttttzttbsnzt. Give prob of picking 2 t. 33/95 What is prob of picking 1 h and 2 j when three letters picked without replacement from jhhjjjhjhjjjjjhjjjj? 455/969 Calculate prob of picking 1 l, 1 h, and 2 m when four letters picked without replacement from {l: 4, m: 5, h: 1}. 4/21 Two letters picked without replacement from tdxdtxitxxxtxxxtxtd. What is prob of picking 1 x and 1 t? 6/19 What is prob of picking 4 n when four letters picked without replacement from {i: 1, y: 4, n: 5}? 1/42 Two letters picked without replacement from {i: 2, y: 1, v: 1, k: 3, n: 3, g: 3}. Give prob of picking 1 v and 1 g. 1/26 Three letters picked without replacement from {m: 2, z: 3, s: 1, g: 1, f: 1, w: 8}. What is prob of picking 2 z and 1 m? 3/280 What is prob of picking 2 k and 1 n when three letters picked without replacement from {k: 2, a: 1, t: 1, u: 2, n: 1}? 1/35 Two letters picked without replacement from {h: 10, d: 8, l: 1}. What is prob of picking 2 h? 5/19 What is prob of picking 1 e and 2 x when three letters picked without replacement from {x: 5, g: 1, e: 3, f: 2, d: 5}? 3/56 Two letters picked without replacement from zxcsxzxxxbboxzzxczz. What is prob of picking 1 c and 1 s? 2/171 Two letters picked without replacement from aazaaaaaazzzazaaua. Give prob of picking 2 a. 22/51 What is prob of picking 2 n and 1 o when three letters picked without replacement from {o: 4, n: 6}? 1/2 Two letters picked without replacement from ccjcjcccjc. What is prob of picking 1 c and 1 j? 7/15 Two letters picked without replacement from ddnnnd. What is prob of picking 2 d? 1/5 What is prob of picking 4 t when four letters picked without replacement from {m: 2, t: 7}? 5/18 Calculate prob of picking 1 b, 1 u, and 1 y when three letters picked without replacement from {z: 1, y: 1, b: 1, u: 2, w: 1, r: 1}. 2/35 Calculate prob of picking 1 b, 1 h, and 1 w when three letters picked without replacement from hbbhbbbhbhbbhbbwh. 3/34 Calculate prob of picking 1 n and 1 y when two letters picked without replacement from {w: 8, n: 1, y: 8}. 1/17 What is prob of picking 3 a and 1 y when four letters picked without replacement from {a: 3, m: 1, y: 1}? 1/5 Four letters picked without replacement from {d: 2, q: 4, o: 5}. Give prob of picking 1 o and 3 q. 2/33 Calculate prob of picking 2 u and 1 y when three letters picked without replacement from yfuvagauyagyva. 3/364 Four letters picked without replacement from {t: 4, l: 3, c: 2, g: 3, d: 4, f: 4}. Give prob of picking 2 t, 1 l, and 1 d. 24/1615 What is prob of picking 1 z and 1 v when two letters picked without replacement from {v: 1, b: 1, z: 1, r: 2}? 1/10 Two letters picked without replacement from yznjj. Give prob of picking 2 y. 0 Four letters picked without replacement from mkddnmdkmukmm. Give prob of picking 4 m. 1/143 Calculate prob of picking 1 y and 1 z when two letters picked without replacement from zwyzzywwyyzzywwwzzy. 14/57 Three letters picked without replacement from {n: 4, o: 16}. What is prob of picking 1 n and 2 o? 8/19 What is prob of picking 1 e and 2 t when three letters picked without replacement from {j: 1, t: 9, i: 3, e: 4, q: 2}? 48/323 Four letters picked without replacement from ewwweweeeeewee. Give prob of picking 1 e and 3 w. 90/1001 What is prob of picking 2 a when two letters picked without replacement from assaasassa? 2/9 Four letters picked without replacement from {g: 2, k: 1, l: 4, f: 2, s: 3}. What is prob of picking 1 l and 3 s? 4/495 Three letters picked without replacement from cqeqczqzipcpep. What is prob of picking 1 i and 2 e? 1/364 What is prob of picking 3 z and 1 p when four letters picked without replacement from zzzzzpzppzp? 14/33 Four letters picked without replacement from {g: 1, v: 3, m: 13, o: 3}. Give prob of picking 1 o, 1 v, and 2 m. 234/1615 Four letters picked without replacement from mmddwmddmddwmwddm. What is prob of picking 4 m? 3/476 Calculate prob of picking 1 u, 1 d, and 1 p when three letters picked without replacement from ckucudqdddudupud. 3/56 Three letters picked without replacement from cqcqqc. Give prob of picking 3 q. 1/20 What is prob of picking 1 p and 2 w when three letters picked without replacement from {f: 3, p: 1, i: 3, x: 1, w: 7, d: 2}? 21/680 Calculate prob of picking 1 u and 1 l when two letters picked without replacement from {n: 1, v: 1, u: 1, b: 1, x: 1, l: 2}. 2/21 Calculate prob of picking 2 j when two letters picked without replacement from uujjfvhf. 1/28 Calculate prob of picking 2 u and 2 w when four letters picked without replacement from awipiuupuwypaa. 3/1001 Three letters picked without replacement from {r: 1, z: 8, m: 7, q: 2}. Give prob of picking 1 m, 1 q, and 1 r. 7/408 Calculate prob of picking 1 s and 2 o when three letters picked without replacement from ooooooosooooooo. 1/5 What is prob of picking 4 c when four letters picked without replacement from {r: 3, c: 5}? 1/14 Two letters picked without replacement from {u: 5, w: 3, r: 9, x: 3}. Give prob of picking 1 r and 1 x. 27/190 What is prob of picking 2 m when two letters picked without replacement from {b: 5, m: 13}? 26/51 Calculate prob of picking 1 l and 1 y when two letters picked without replacement from yflfyfy. 1/7 Two letters picked without replacement from qzwkkjjjkkkkzw. What is prob of picking 1 z and 1 q? 2/91 Four letters picked without replacement from {t: 18, n: 2}. What is prob of picking 4 t? 12/19 Calculate prob of picking 3 r and 1 i when four letters picked without replacement from riiioiiror. 1/42 Three letters picked without replacement from layaaaamalay. Give prob of picking 1 y, 1 l, and 1 a. 7/55 Two letters picked without replacement from {c: 2, b: 6}. Give prob of picking 2 b. 15/28 What is prob of picking 4 b when four letters picked without replacement from ddbbbdbddbdb? 1/33 Calculate prob of picking 2 t when two letters picked without replacement from vvvvvvtvvvtvvvvvvvtv. 3/190 Three letters picked without replacement from {c: 1, h: 7, b: 1}. What is prob of picking 2 h and 1 c? 1/4 Three letters picked without replacement from mjmjjbjzmjjjzbjjjbm. Give prob of picking 2 z and 1 b. 1/323 Two letters picked without replacement from hbbhghhhiyiihihi. Give prob of picking 1 b and 1 g. 1/60 What is prob of picking 1 h and 1 m when two letters picked without replacement from {h: 1, c: 1, y: 1, z: 5, m: 7}? 1/15 Four letters picked without replacement from uhnnhsuunkd. What is prob of picking 1 h, 1 u, 1 n, and 1 k? 3/55 Four letters picked without replacement from dedddededdddddeeed. What is prob of picking 3 e and 1 d? 4/51 Two letters picked without replacement from gmkkbggmqkkkkgkag. What is prob of picking 1 m and 1 g? 5/68 Three letters picked without r
{ "pile_set_name": "DM Mathematics" }
et c(x) = 36*x - 5. Let u(m) = -15*m**2 + 3. Calculate c(u(z)). -540*z**2 + 103 Let w(h) = -4484788*h**2. Let a(i) = i**2. What is a(w(k))? 20113323404944*k**4 Let m(n) = -10*n. Let x(z) be the first derivative of -1/24*z**4 + 0*z - 5/2*z**2 - 6 + 0*z**3. Let v(u) be the second derivative of x(u). Determine m(v(q)). 10*q Let x(m) = m**2. Let q be 0/(-5) - (0 - 2). Let v(w) = 3*w**2 - w**2 + 0*w**q. Calculate v(x(b)). 2*b**4 Let j(b) be the third derivative of -b**5/30 + 127*b**2. Let d(o) be the first derivative of 0*o + 3 + 3/2*o**2. What is j(d(g))? -18*g**2 Let p(h) = 28*h + 5. Let u(i) = 4*i**2. Give p(u(b)). 112*b**2 + 5 Let p(h) = 130*h + 3. Let f(k) = 14 - 1 - 14 + 2*k + 1. Calculate p(f(u)). 260*u + 3 Let v(w) be the first derivative of w**2/2 - 54. Let l(d) = -d - d - 7*d - 2*d. Give v(l(m)). -11*m Let d(y) = 4*y. Let s(l) = 182718*l**2. Determine d(s(j)). 730872*j**2 Let k(v) = -57*v**2 + 4. Let q(b) = 9*b. Give k(q(w)). -4617*w**2 + 4 Suppose -u + 5*s + 2 = 3*s, 4*u - 12 = 4*s. Let g(p) = -3*p + u*p + 4*p + 0*p. Let c(y) be the first derivative of -y**2/2 - 67. What is c(g(i))? -5*i Let o be (-204)/(-33) + (-4)/22. Let f be 0*((-15)/o + 2). Let c(q) = 3*q + f - 2 + 2. Let y(x) = 2*x**2. Determine c(y(g)). 6*g**2 Let g be 130/110 - 4/22. Let n(x) = -1 + 58*x + g - 59*x. Let b(f) = -f - 2*f + 5*f. Calculate n(b(a)). -2*a Let a(s) = 2*s. Let x(y) = 198*y**2 + 54*y + 37*y - 91*y. What is x(a(i))? 792*i**2 Let o(u) = 2*u + 96. Let z(g) = -97*g + 2. Calculate z(o(n)). -194*n - 9310 Suppose 0 = -y, -52 = t - 3*t + y. Let n = 0 - -3. Let l(v) = -t + 26 - n*v**2. Let x(f) = -2*f**2. Calculate x(l(j)). -18*j**4 Let w(g) = -3*g**2. Let a(l) = 28*l + 15*l - 27*l + 29*l + 69*l. Determine a(w(k)). -342*k**2 Let m(r) = -10*r. Let d(h) = 35359*h + 1. Determine d(m(z)). -353590*z + 1 Suppose 9 - 57 = -4*n. Let i(l) = -2*l + 5 - n*l - 5. Let q(f) = f. Determine q(i(m)). -14*m Let v(h) = h. Let q(b) = 168*b**2 + 120*b + 120. Let p(l) = l**2 + l + 1. Let g(j) = -240*p(j) + 2*q(j). Calculate g(v(z)). 96*z**2 Let r(c) = -4*c**2. Let n = 756 + -243. Let i(t) = -n*t + 513*t + 8*t**2. Determine i(r(v)). 128*v**4 Let n(b) = b**2 - 3*b. Let v(c) = 51*c - 20*c - 32*c. Calculate n(v(m)). m**2 + 3*m Let k(f) = 43*f**2. Let b(l) = -190*l**2. Determine b(k(j)). -351310*j**4 Let u(f) be the first derivative of -11 + 0*f**2 + 1/3*f**4 - f + 0*f**3. Let j(s) be the first derivative of u(s). Let x(b) = -b. Give j(x(t)). 4*t**2 Let h(v) = 40*v. Let g(p) = 2145*p + 2146*p - 4295*p. Calculate g(h(c)). -160*c Let o(h) = -15*h. Let y(m) = 6*m - 5. Let g(p) be the second derivative of p**3/6 - p**2/2 - 23*p. Let w(a) = -5*g(a) + y(a). Calculate o(w(l)). -15*l Let w(t) = 363*t**2. Let j(o) = 63*o - 48. Let n(m) = 13*m - 10. Let f(z) = 5*j(z) - 24*n(z). Calculate f(w(x)). 1089*x**2 Let h(o) = o**2 + 82*o + 247. Let f(n) = 2*n. Determine f(h(l)). 2*l**2 + 164*l + 494 Let z(u) = 3*u**2 - 12. Let p(j) = 95*j**2 - 390. Let g(s) = 2*p(s) - 65*z(s). Let q(c) be the third derivative of -c**5/15 + c**2. Calculate g(q(n)). -80*n**4 Let o(t) = -8795*t - 18. Let k(n) = -3*n**2. Calculate o(k(p)). 26385*p**2 - 18 Let k(r) be the first derivative of -5*r**2/2 + 358. Let a(l) = -l + 33. What is a(k(d))? 5*d + 33 Let a(u) be the first derivative of 2/3*u**3 + 0*u**2 + 0*u - 1. Let c(k) be the second derivative of 5*k**3/6 - 3*k + 10. Give c(a(m)). 10*m**2 Let o(m) = 9*m. Let c(q) = 4*q. Let w(i) = 5*c(i) - 2*o(i). Let d be (-963)/(-36) + 1/4. Let h(v) = 8*v + 5*v - d + 27. Determine w(h(k)). 26*k Let o(d) = 12*d. Let n(l) = 3*l**2 + 6*l - 2. Calculate n(o(c)). 432*c**2 + 72*c - 2 Let a(t) = -90*t. Let j(q) = -26*q**2 + 2*q**2 + 22*q**2. What is j(a(z))? -16200*z**2 Let t(c) = c. Let i(x) = 149602*x. Determine i(t(l)). 149602*l Let i(f) = 25*f**2. Let o(p) = -6*p**2 + 4*p + 4. Let c(j) = -17*j**2 + 11*j + 11. Let k(n) = 4*c(n) - 11*o(n). Determine k(i(t)). -1250*t**4 Let h(s) = 4*s**2. Suppose 4*k - 52 = -9*k. Let g = 8 + -4. Let v(d) = -g*d + 2*d - 4*d + k*d. Give h(v(t)). 16*t**2 Let t(y) = 18*y**2 + 1. Let x(j) = -4*j**2 - 5*j - 5. Let n(k) = -k**2 - k - 1. Let p(v) = -5*n(v) + x(v). Calculate p(t(i)). 324*i**4 + 36*i**2 + 1 Let a(p) = -3*p + 5*p - p. Let k(t) = 4*t - 3. Let c be k(2). Let u(w) = -15*w - 12. Let q(b) = -6*b - 5. Let j(x) = c*u(x) - 12*q(x). What is a(j(s))? -3*s Let n(o) = -9*o**2. Let i(s) be the second derivative of 3*s**3/2 + 758*s. Determine n(i(a)). -729*a**2 Let j(k) = -2*k**2. Let w(t) = 46*t**2 - 3643*t. What is w(j(m))? 184*m**4 + 7286*m**2 Let s(l) = 148*l**2. Let y(b) be the third derivative of b**5/15 - 10*b**2 + 3*b. Give s(y(h)). 2368*h**4 Let j(z) = -45*z + 3. Let h(q) = q - 2. Let c(k) = k - 3. Let p(i) = -2*c(i) + 3*h(i). Determine p(j(m)). -45*m + 3 Let k(c) = -7*c**2. Let l(p) = 2045*p. What is l(k(z))? -14315*z**2 Let y(f) = -18640*f**2. Let b(v) = -5*v**2. Determine y(b(m)). -466000*m**4 Let g(w) = -17959*w + 9091*w + 9091*w. Let i(y) = -y. What is i(g(n))? -223*n Let d(c) = -c**2. Let x(l) = 87*l**2 + 2*l - 1702. Calculate x(d(w)). 87*w**4 - 2*w**2 - 1702 Let p(o) be the first derivative of -7*o**2/2 - 1. Let f(s) = 7*s - 12. Let t(l) = -6*l + 10. Let a(z) = -5*f(z) - 6*t(z). Calculate p(a(i)). -7*i Let a(y) = -3*y**2. Let x(n) = -11871*n**2. Give a(x(q)). -422761923*q**4 Let q(p) = p + 1. Let w(h) = 4*h + 3. Let k(u) = -3*q(u) + w(u). Let n(z) = 19*z - z - 4*z - 5*z. Calculate k(n(a)). 9*a Let i(a) be the third derivative of -a**5/24 + 5*a**3/2 + 32*a**2. Let c(k) be the first derivative of i(k). Let r(s) = 5*s. Determine c(r(w)). -25*w Let u(o) = 202*o**2. Let j(b) = 1488*b**2. Calculate u(j(k)). 447257088*k**4 Let m(t) = -t**2. Let o(s) be the first derivative of -41*s**2/2 - 74. Calculate m(o(r)). -1681*r**2 Let u(b) = 149947*b. Let i(o) = -4*o. Give u(i(f)). -599788*f Let d(s) = -382*s - 160. Let n(g) = -g. Give d(n(f)). 382*f - 160 Let k(b) = -18*b. Let s(v) be the first derivative of -10*v**3/3 - 142. Give s(k(j)). -3240*j**2 Let h(r) = -1. Let k(c) be the second derivative of -8*c**3/3 - 11*c**2 - 22*c. Let i(g) = -44*h(g) + 2*k(g). Let t(l) = -2*l**2. Give i(t(o)). 64*o**2 Let v(a) = 157*a. Let i(d) = -49*d**2 - 2*d. Give i(v(p)). -1207801*p**2 - 314*p Let m(r) = 6*r**2. Let n(i) = 2*i**2 - 2. Let a(z) = -7*z**2 + 9. Let g(o) = 2*a(o) + 9*n(o). Calculate m(g(p)). 96*p**4 Let a(d) = 5*d**2. Let b be a(-1). Suppose 3*m + 5*c = -0 + 6, -4*m + 3*c + 8 = 0. Let v(j) = 3*j**2 + 3*j**2 - 6*j**2 + b*j**m. Let k(q) = -q. What is k(v(p))? -5*p**2 Let h(m) be the third derivative of 8*m**2 + 0 - 1/8*m**4 + 0*m + 0*m**3. Let f(j) = -5*j**2. Calculate h(f(r)). 15*r**2 Let d(u) = -2*u - 318. Let j(s) = 3*s**2 - 35. Give d(j(a)). -6*a**2 - 248 Let b(p) = -9*p**2. Suppose 0 = 4*t + 8 - 28. Let v(s) = s**3 - 6*s**2 + 6*s - 3. Let h be v(t). Let m(l) = 3*l - l + h*l**2 - 2*l. Calculate b(m(g)). -36*g**4 Let x(r) = -r**2. Suppose -d = d - 6, 0 = 2*b - 3*d + 9. Suppose b = s + 3 - 5. Let z(o) = -s + 2 + 37*o**2 - 46*o**2. Determine z(x(n)). -9*n**4 Let f(r) = 542*r + 542*r - 1075*r. Let l(c) = 6*c**2. What is f(l(w))? 54*w**2 Let w(u) = 38*u. Let t(x) = 1319*x. Give t(w(r)). 50122*r Let o(z) be the second derivative of -z**4/3 + z. Let p(r) = -4*r. Let u(t) be the first derivative of t**2 + 10. Let f(x) = 2*p(x) + 3*u(x). Determine f(o(y)). 8*y**2 Let b(i) be the first derivative of 2*i**3 - 485. Let c(o) = -7*o. Give c(b(z)). -42*z**2 Let i(a) = a**2 - 41*a. Let s(f) be the first derivative of 4*f**3/3 - 566. What is s(i(k))? 4*k**4 - 328*k**3 + 6724*k**2 Let d(y) = -7*y - 5. Suppose -28 + 32 = -r. Let h(g) = 6*g + 4. Let v(c) = r*h(c) - 3*d(c). Let a(t) = -t. Determine v(a(u)). 3*u - 1 Suppose -12*o = -13 - 23. Let w(v) be the third derivative of 0 + 0*v**o + 1/4*v**5 - 7*v**2 + 0*v + 0*v**4. Let d(r) = 2*r**2. Determine d(w(y)). 450*y**4 Let f(p) = 7*p + 63. Let w be f(-9). Let m(x) be the first derivative of 5 - 1/3*x**3 + w*x**2 + 0*x. Let g(u) = 3*u. Determine m(g(a)). -9*a**2 Let c(u) be the second derivative of 4*u**3/3 + 9*u - 22. Let f(h) = -6*h**2. Calculate c(f(j)). -48*j**2 Let y(i) = 3*i - 4. Let l(m) = m + 79. Calculate l(y(g)). 3*g + 75 Let l(m) = -m**2. Let h(q) be the first derivative of 2*q**2 + 2 + 1/24*q**4 + 0*q + 0*q**3. Let b(n) be
{ "pile_set_name": "DM Mathematics" }
*x**3/7 + 564*x**2/7 + 19008*x/7 - 62208/7. 4*(x - 3)*(x + 72)**2/7 Suppose 2*c**3 + 24*c**2 + 82*c + 60 = 0. What is c? -6, -5, -1 Factor 5*i**5 - 60*i**4 + 205*i**3 - 190*i**2 - 180*i + 280. 5*(i - 7)*(i - 2)**3*(i + 1) What is p in -5*p**4 + 38*p**3 - 101*p**2 + 108*p - 36 = 0? 3/5, 2, 3 Let 2*d**5/3 - 92*d**4/3 + 88*d**3/3 + 92*d**2/3 - 30*d = 0. Calculate d. -1, 0, 1, 45 Factor -2*a**4/13 - 40*a**3/13 + 42*a**2/13. -2*a**2*(a - 1)*(a + 21)/13 Find o, given that -o**2/2 - 677*o/8 - 105 = 0. -168, -5/4 Solve -2*t**3 - 74*t**2 - 208*t - 136 = 0 for t. -34, -2, -1 Determine w so that 2*w**4/7 - 20*w**3/7 + 16*w**2/7 + 20*w/7 - 18/7 = 0. -1, 1, 9 Let -2*r**5/21 + 22*r**4/21 - 68*r**3/21 - 16*r**2/21 + 320*r/21 - 256/21 = 0. Calculate r. -2, 1, 4 What is b in -3*b**4/4 - 1473*b**3/4 - 124425*b**2/2 - 3913107*b - 50289978 = 0? -158, -17 Factor 5*w**3 - 90*w**2 + 540*w - 1080. 5*(w - 6)**3 Solve 2*s**3/21 + 4*s**2/7 + 6*s/7 = 0. -3, 0 Suppose f**3 + 52*f**2 + 192*f = 0. Calculate f. -48, -4, 0 Find r, given that -3*r**4 - 24*r**3 - 57*r**2 - 36*r = 0. -4, -3, -1, 0 Determine v, given that 5*v**5 - 20*v**4 - 60*v**3 - 10*v**2 + 55*v + 30 = 0. -1, 1, 6 Factor -3*n**5/4 - 1021*n**4/4 + 341*n**3/2. -n**3*(n + 341)*(3*n - 2)/4 Find z, given that 6*z**4 - 28*z**3 + 10*z**2 + 28*z - 16 = 0. -1, 2/3, 1, 4 Factor -3*b**3/2 + 1009*b**2/4 - 10626*b + 1764. -(b - 84)**2*(6*b - 1)/4 Factor 20*p**5 + 48*p**4 + 16*p**3 - 40*p**2 - 36*p - 8. 4*(p - 1)*(p + 1)**3*(5*p + 2) Suppose -4*k**2 - 4896*k - 1498176 = 0. Calculate k. -612 Suppose -n**4/5 - 31*n**3/5 - 168*n**2/5 = 0. Calculate n. -24, -7, 0 Determine c, given that 2*c**4 + 6*c**3 - 44*c**2 - 48*c = 0. -6, -1, 0, 4 Factor 4*m**3 - 120*m**2 - 4*m + 120. 4*(m - 30)*(m - 1)*(m + 1) Factor 4*h**2 + 20*h - 96. 4*(h - 3)*(h + 8) Factor -5*f**2 - 440*f. -5*f*(f + 88) Factor -10*f**5 - 68*f**4 + 14*f**3. -2*f**3*(f + 7)*(5*f - 1) Suppose -2*f**5/21 - 296*f**4/21 - 2012*f**3/3 - 8976*f**2 + 421362*f/7 - 353736/7 = 0. What is f? -51, 1, 4 What is u in -2*u**2 - 24*u - 64 = 0? -8, -4 Suppose y**5 - 5*y**4 - 6*y**3 + 38*y**2 - 43*y + 15 = 0. What is y? -3, 1, 5 Factor v**2 - 828*v + 171396. (v - 414)**2 Factor 2*j**3/3 - 274*j**2/3 + 1070*j/3 - 266. 2*(j - 133)*(j - 3)*(j - 1)/3 Factor -2*h**3/7 + 4*h**2/7 + 16*h/7. -2*h*(h - 4)*(h + 2)/7 Factor -5*t**4 - 85*t**3 - 285*t**2 - 335*t - 130. -5*(t + 1)**2*(t + 2)*(t + 13) Factor -2*q**4/13 + 36*q**3/13 - 122*q**2/13 - 360*q/13 - 200/13. -2*(q - 10)**2*(q + 1)**2/13 Solve -m**2/4 - 103*m/4 - 101/2 = 0. -101, -2 Factor -14*r**3/11 + 390*r**2/11 - 2688*r/11 - 392/11. -2*(r - 14)**2*(7*r + 1)/11 What is l in 5*l**2/4 + 7485*l - 29945/4 = 0? -5989, 1 Find q such that -5*q**5 + 275*q**4 - 3910*q**3 + 3370*q**2 + 3915*q - 3645 = 0. -1, 1, 27 Factor -3*s**5 - 14*s**4 - 13*s**3 + 18*s**2 + 20*s - 8. -(s - 1)*(s + 2)**3*(3*s - 1) Factor s**2/2 + 77*s + 153/2. (s + 1)*(s + 153)/2 Let 50*i**4 + 110*i**3 + 78*i**2 + 18*i = 0. Calculate i. -1, -3/5, 0 Let -2*y**2/3 + 424*y/3 - 422/3 = 0. Calculate y. 1, 211 Let -2*w**2/9 - 584*w/9 = 0. Calculate w. -292, 0 Determine t, given that -2*t**4/7 + 2*t**3 - 18*t**2/7 - 2*t + 20/7 = 0. -1, 1, 2, 5 Suppose 6*j**4 - 112*j**3 - 1244*j**2 - 2832*j - 810 = 0. What is j? -5, -3, -1/3, 27 Factor -2*x**4/5 + 8*x**3/5 - 6*x**2/5. -2*x**2*(x - 3)*(x - 1)/5 Factor -4*s**3/7 - 216*s**2/7 + 912*s/7 - 928/7. -4*(s - 2)**2*(s + 58)/7 Factor 14*z**3/5 - 58*z**2/5 + 64*z/5 - 8/5. 2*(z - 2)**2*(7*z - 1)/5 Find o such that o**4/2 - 48*o**3 + 1244*o**2 - 4416*o + 4232 = 0. 2, 46 Find f, given that f**3/6 - 19*f**2/2 + 28*f/3 = 0. 0, 1, 56 Determine r, given that r**5/3 + 9*r**4 + 191*r**3/3 + 61*r**2/3 - 260*r - 676/3 = 0. -13, -2, -1, 2 Let 4*k**5 + 5*k**4 - 3*k**3 - 5*k**2 - k = 0. Calculate k. -1, -1/4, 0, 1 Suppose -2*o**4/7 - 2*o**3/7 + 114*o**2/7 + 290*o/7 - 400/7 = 0. Calculate o. -5, 1, 8 Find i such that 2*i**4/5 - 16*i**3 - 166*i**2/5 - 84*i/5 = 0. -1, 0, 42 Let 3*y**4 - 162*y**3 + 2592*y**2 - 10368*y = 0. Calculate y. 0, 6, 24 Factor 12*p**2/5 + 188*p/5 - 64/5. 4*(p + 16)*(3*p - 1)/5 Factor 8*q**3 + 474*q**2 + 582*q + 116. 2*(q + 1)*(q + 58)*(4*q + 1) Determine p, given that -657*p**5 - 1313*p**4 + 2*p**3 + 1314*p**2 + 655*p - 1 = 0. -1, 1/657, 1 What is y in -4*y**4/7 - 72*y**3/7 - 372*y**2/7 - 320*y/7 + 768/7 = 0? -8, -3, 1 Factor -p**3 - 134*p**2 + 4340*p - 31752. -(p - 14)**2*(p + 162) Factor -2*n**3/13 + 90*n**2/13. -2*n**2*(n - 45)/13 Factor -v**3 - 26*v**2/3 - 61*v/3 - 10. -(v + 3)*(v + 5)*(3*v + 2)/3 Factor -o**4/8 + 77*o**3/8 - 75*o**2/8 - 77*o/8 + 19/2. -(o - 76)*(o - 1)**2*(o + 1)/8 Solve 4*d**5 - 140*d**4 - 652*d**3 + 1052*d**2 + 1560*d = 0 for d. -5, -1, 0, 2, 39 Factor 4*r**3 - 120*r**2 - 16*r + 480. 4*(r - 30)*(r - 2)*(r + 2) Factor -2*f**2 + 8*f + 64. -2*(f - 8)*(f + 4) Let -2*k**4/5 + 118*k**3/5 - 230*k**2 + 1034*k/5 = 0. Calculate k. 0, 1, 11, 47 Factor 2*t**2 + 6396*t + 5113602. 2*(t + 1599)**2 Determine f so that -f**2/4 + 2*f - 3 = 0. 2, 6 Find q such that 4*q**5 - 404*q**4 + 4540*q**3 + 283204*q**2 + 2138752*q + 1860496 = 0. -11, -1, 62 Factor 4*y**4 - 188*y**3 + 540*y**2 - 532*y + 176. 4*(y - 44)*(y - 1)**3 Factor -6*t**2/7 - 5714*t/7 - 272. -2*(t + 952)*(3*t + 1)/7 Factor h**3 + 114*h**2 + 657*h + 972. (h + 3)**2*(h + 108) Find m, given that 3*m**4 + 261*m**3 + 513*m**2 + 255*m = 0. -85, -1, 0 Solve -3*w**5 - 327*w**4 - 1542*w**3 + 1968*w**2 + 9888*w - 9984 = 0. -104, -4, 1, 2 Find s such that 2*s**5 - 38*s**4 + 8*s**3 + 552*s**2 - 864*s = 0. -4, 0, 2, 3, 18 Find u, given that -196*u**4 - 17465*u**3 + 15742*u**2 - 736*u - 1440 = 0. -90, -1/4, 4/7 Let 4*s**2/9 + 12*s - 88 = 0. Calculate s. -33, 6 Factor -q**2/3 + 35*q - 2726/3. -(q - 58)*(q - 47)/3 Factor -5*d**4 + 130*d**3 - 1125*d**2 + 3500*d - 2500. -5*(d - 10)**2*(d - 5)*(d - 1) Let -4*j**2/5 + 1292*j/5 - 1288/5 = 0. Calculate j. 1, 322 Let -32*n**3/13 - 40*n**2/13 - 16*n/13 - 2/13 = 0. Calculate n. -1/2, -1/4 Factor 3*o**4/2 - 24*o**3 + 63*o**2 - 60*o + 39/2. 3*(o - 13)*(o - 1)**3/2 Find n, given that n**4/5 + 143*n**3/5 - 148*n**2 = 0. -148, 0, 5 What is z in z**5 - 151*z**4 + 734*z**3 - 584*z**2 = 0? 0, 1, 4, 146 Factor -3*o**2 + 19686*o - 32294883. -3*(o - 3281)**2 Factor h**5 - 12*h**4 + 53*h**3 - 102*h**2 + 72*h. h*(h - 4)*(h - 3)**2*(h - 2) Solve 2*v**2 + 774*v - 776 = 0 for v. -388, 1 Factor -2*a**3/3 - 26*a**2/3 + 28*a/3. -2*a*(a - 1)*(a + 14)/3 Factor 4*l**4 - 3408*l**3 + 971256*l**2 - 93543952*l + 271982244. 4*(l - 283)**3*(l - 3) Solve -5*a**5/2 - 7*a**4/2 + 3*a**3/2 + 7*a**2/2 + a = 0 for a. -1, -2/5, 0, 1 Suppose 3*v**2 + 2071*v - 1382 = 0. What is v? -691, 2/3 What is d in -20*d**5 - 95*d**4 + 305*d**3 - 70*d**2 = 0? -7, 0, 1/4, 2 Factor z**4/6 + 5*z**3/3 - z**2/2 - 16*z/3 - 10/3. (z - 2)*(z + 1)**2*(z + 10)/6 Factor 3*y**3/2 + 99*y**2/2 - 177*y - 540. 3*(y - 5)*(y + 2)*(y + 36)/2 Determine w, given that -3*w**4/8 + 27*w**3/4 - 339*w**2/8 + 207*w/2 - 135/2 = 0. 1, 5, 6 Find f such that f**4 + 7*f**3 - 73*f**2 - 163*f - 84 = 0. -12, -1, 7 Suppose n**5/6 + 5*n**4/2 + 13*n**3/3 = 0. What is n? -13, -2, 0 Let r**3/6 + 2*r**2 - 13*r/6 = 0. What is r? -13, 0, 1 Factor z**3 + 16*z**2 + 63*z. z*(z + 7)*(z + 9) Factor 4*p**3 - 14*p**2 - 4*p + 14. 2*(p - 1)*(p + 1)*(2*p - 7) Solve -4*x**2 - 1416*x = 0 for x. -354, 0 Factor -4*n**4 - 2912*n**3 + 8760*n**2 - 8768*n + 2924. -4*(n - 1)**3*(n + 731) Determine z, given that 10*z**5 - 64*z**4 + 74*z**3 - 20*z**2 = 0. 0, 2/5, 1, 5 Let -3*p**3/8 + 42*p**2 - 1176*p = 0. Calculate p. 0, 56 Factor 12*s**3/7 + 45*s**2/7 - 264*s/7 + 9. 3*(s - 3)*(s + 7)*(4*s - 1)/7 Determine d, given that 5*d**5 + 5*d**4 - 10*d**3 - 10*d**2 + 5*d + 5 = 0. -1, 1 Find r such that r**4 + 10*r**3 - 52*r**2 + 56*r = 0. -14, 0, 2 Factor -39601*q**4/3 - 26666*q**3 - 41197*q**2/3 - 268*q - 4/3. -(q + 1)**2*(199*q + 2)**2/3 Find i such that 12*i**4 + 7*i**3 - 103*i**2/3 + 200*i/9 - 4 = 0. -9/4, 1/3, 2/3 Factor 4*w**5/3 + 4*w**4/3 - 4*w**3/3 - 4*w**2/3. 4*w**2*(w - 1)*(w + 1)**2/3 Factor 3*f**3/7 + 435*f**2/7 - 126*f. 3*f*(f - 2)*(f + 147)/7 Find o such that o**3/3 - o**2 - 13*o/3 + 5 = 0. -3, 1, 5 Factor 2*g**2/7 - 24*g/7 + 22/7. 2*(g - 11)*(g - 1)/7 Factor r**3 - 11*r**2 + 40*r - 48. (r - 4)**2*(r - 3) What is q in -2*q**2/11 + 180*q/11 - 4050/11 = 0? 4
{ "pile_set_name": "DM Mathematics" }
t of g? 6 Let c(z) = -15*z + 11. Let t(b) = 44*b - 32. Suppose -s = s - 34. Let x(f) = s*c(f) + 6*t(f). What is the units digit of x(5)? 0 Suppose -5*i + 22 = -28. Suppose 3*c + 1 - i = 0. Suppose c*u = -6, 4*s + u + 4 = 6. What is the units digit of s? 1 Let i = 14 + -6. Let y(g) = -4*g + 1. Let b be y(i). Let q = b - -66. What is the units digit of q? 5 Let r be 118 - 20/5 - 3. Suppose -y = -4*y + r. What is the tens digit of y? 3 Suppose -5*n + 1794 = x, -x + 1444 + 344 = 3*n. What is the thousands digit of x? 1 Suppose 0 = 2*l - 2*d - 538, 2*l - l + 3*d = 253. Suppose -i + l - 84 = 2*v, 553 = 3*i + v. What is the units digit of i? 5 Let l(z) = z**2 - 6*z - 4. Let b be l(5). Let j = b + 14. Let q = j - 1. What is the units digit of q? 4 Let g(u) = 8*u - 9. Let v(p) = -9*p + 9. Let d(h) = -7*g(h) - 6*v(h). Let m be (-8*1)/((-1)/(-1)). What is the tens digit of d(m)? 2 Let d(z) = -z - 4. Let i be d(-7). Suppose 3*l + 2 = -x, 3 + 5 = 5*x - i*l. What is the units digit of x? 1 Suppose -3*s - 58 = -13. Let k be 2/5 - 39/s. Suppose -k*z + 21 = -153. What is the tens digit of z? 5 Suppose -5*i - 23 = 2*g, 5*i = -15 - 0. What is the tens digit of (1275/34)/(0 + (-2)/g)? 7 Suppose -3*n + 4 = 4*v + n, -3*n = 6. Suppose -v*q = -4 - 5. Let t(o) = 11*o - 7. What is the units digit of t(q)? 6 Suppose 48*l = -26*l + 408628. What is the hundreds digit of l? 5 Let q(h) = 14*h + 24. Let v be q(-2). What is the tens digit of 212 - (21/(-14))/((-3)/v)? 1 Let p(v) = -3*v - 15*v**2 + 16*v**2 + 0*v + 3. Let f be p(4). Let n(b) = b**2 - 4*b + 10. What is the units digit of n(f)? 1 Suppose 2*p - 10*p + 2848 = 0. Suppose 72 + p = 4*m. What is the hundreds digit of m? 1 Let w = -272 + 606. Let a = w + -222. Suppose 3*c - 20 = a. What is the units digit of c? 4 Let u(m) = m**2 - 11*m - 8. Let r(o) = -2*o - 10. Let f(k) = -1. Let j(y) = -18*f(y) + 2*r(y). Let w be j(-4). What is the units digit of u(w)? 4 Suppose -2*f - 3*f + 1770 = 0. Suppose -5*a - 5*x - 94 = -f, 0 = 3*x - 3. What is the tens digit of a? 5 Let q(s) = 4*s**2 - 15*s - 11. Let u(t) = 3*t**2 - 54*t + 7. Let r be u(18). What is the tens digit of q(r)? 8 Let k(y) = 62*y**2 + y - 3. Let d be k(-3). Suppose -c + 2*u + d = 3*c, -3*u - 128 = -c. What is the units digit of c? 0 Suppose -5*q = -5*r + 275, -8*r + 5*r = 2*q - 145. What is the tens digit of r? 5 Suppose y + 0 = 3*w - 1, 2*w - 8 = -3*y. Let g be y + 3/(-1) - 0. What is the units digit of (-1351)/(-21) - g/(-3)? 4 Let z be 2/(-4)*(-888)/6. Let q = 112 - z. What is the tens digit of q? 3 Let j(q) be the first derivative of 8*q**3/3 - q**2 + 6*q - 18. What is the tens digit of j(-3)? 8 Suppose 3*c = -10*g + 12*g - 1810, -4*g + 3620 = -c. What is the tens digit of g? 0 Let h be -1 - (-5)/((-5)/(-53)). Suppose y - 4*p = -2*y + 302, -2*y + 3*p + 201 = 0. Let x = y - h. What is the units digit of x? 0 Suppose 4*m - 2*d - 2*d - 5168 = 0, 0 = 3*m + 3*d - 3882. What is the hundreds digit of m? 2 Let k be 3665/25 - 6/10. Suppose x = -3*x + 2*i + k, 4*i = 5*x - 187. Let u = -30 + x. What is the units digit of u? 5 Let k(x) = 13*x**2 - x + 2. Let c(p) = -p**2 - 7*p - 8. Let m be c(-6). What is the units digit of k(m)? 6 Let m = 1340 - 651. What is the tens digit of m? 8 Suppose 4*i - c - 14119 = 0, -c - 6008 - 4581 = -3*i. What is the tens digit of i? 3 What is the hundreds digit of 4/(-54) - (-98861)/189? 5 What is the tens digit of (-20)/(-4)*-1 + 504? 9 Let g = -392 - -1663. What is the tens digit of g? 7 What is the thousands digit of (-11125)/(-10) - 1*3/(-6)? 1 Suppose 5*z - 7*z - 20 = 0. What is the tens digit of z/(-5)*-10*(-22)/8? 5 Suppose -9*o - 3*o + 60 = 0. Suppose -99 - 351 = -o*l. What is the tens digit of l? 9 What is the tens digit of -4 - (-5 + -2 + -5912)? 1 Suppose 4*f + 53*p - 58*p - 8839 = 0, 3 = -p. What is the tens digit of f? 0 Suppose -6042 = -4*f - 5*z, 3*z + 1037 = 2*f - 1995. What is the tens digit of f? 1 Suppose -a + 5*g = -3588, 25*g - 29*g = -5*a + 17982. What is the tens digit of a? 9 Let n be (-4)/(-8)*1*44. Let f = 40 - n. What is the tens digit of f? 1 Suppose p + 2*p = -6. Let v = p + 5. Suppose u = -v*u + 92. What is the tens digit of u? 2 Let f be (-25)/(-10) - 1/(-2). Suppose 2*j - 3*j + f = 0. Suppose -4*d + 4*c + 91 + 109 = 0, -56 = -d + j*c. What is the tens digit of d? 4 Let w(x) = x**2 + 8*x + 11. Let f be w(-7). Suppose -f*h - 1 = -9. What is the units digit of -4 + (24 - -4)/h? 0 Let v = 2921 + -2004. What is the hundreds digit of v? 9 Suppose 2*l - 5249 = -5*p - 1670, 4*l - 5*p = 7113. What is the thousands digit of l? 1 Let z(w) = w**3 - 4*w**2 + 2*w - 1. Let h be z(3). Let p be (-17)/(1/(-2 - -4)). What is the units digit of 2/h*(p - -2)? 6 Suppose 65 = 2*r - 653. What is the hundreds digit of r? 3 Let u = -8 + -2. Let c = 34 + u. Suppose 6*j - c = 3*j. What is the units digit of j? 8 Let h(f) = 4*f**3 + 3*f**2 - 5*f. Let o be h(2). Let p = o + -26. What is the units digit of p? 8 Let c(g) = -g**3 - 3*g**2 + 5*g + 3. Let z be c(-4). Let q(s) = -3*s + 1. What is the units digit of q(z)? 4 Suppose -3*i + 3*u - 69 + 18 = 0, -5*i = -4*u + 81. Let q = i - -16. Suppose -q*c + 8 = -79. What is the tens digit of c? 2 Suppose 5*q - 125 = 4*d, 0 = -3*d + 4*d + 2*q + 15. Let x = d + 22. What is the units digit of (-1)/x + 55/15? 4 Suppose -3*s + 23 = 5. Let g = s + 5. What is the units digit of g? 1 Let i(q) = -3*q**3 - 5*q**2 - 6*q + 18. Let c be i(-6). Suppose -7*w + 367 = -c. What is the units digit of w? 7 Let h be 10/((-3)/(-9) + 0). Let p be 6/10 + (-14)/(-10). What is the units digit of p + (h - (-2)/(-1))? 0 Let y(r) = 9*r - 3. Let d(o) = 6*o + 1. Let i be d(-1). Let v be y(i). Let c = -18 - v. What is the units digit of c? 0 Let b(a) = a**3 - 17*a**2 - 19*a + 20. Let m be b(18). Suppose -3*h - 2*p - 250 = -7*h, 0 = -m*h - 3*p + 113. What is the units digit of h? 1 Let t(s) = -s**3 - 2*s**2 - 4*s - 2. Let j be t(-2). Let g = j + -4. Suppose -2*w - g*y = -34, 2*w - 5*y - 2 - 60 = 0. What is the tens digit of w? 2 Let z be 35/6 + 2/12. Let r = z + 64. What is the tens digit of r? 7 Let w = 66 - 62. Suppose -19 = -r - u + 27, -2*r + 104 = -w*u. What is the units digit of r? 8 Let j(n) = -n**3 + 7*n**2 + 7. Let m be j(7). Suppose -4*p - 13 = m, -4*i - p + 311 = 0. What is the tens digit of i? 7 Let y(a) = 199*a**3 - 2*a**2 + a. Let z be y(1). Suppose 0*h + 180 = 3*h - 3*p, -3*h = 3*p - z. What is the tens digit of h? 6 Let g = -32 + 53. Suppose 2*l = r + 3*r - 6, -2*r + g = 5*l. Suppose -5*c - 5*j + 80 = 0, -2*j - l = 5. What is the units digit of c? 0 Let b = -99 - -113. Let m(t) = -t - 2. Let y be m(-6). Let x = b + y. What is the units digit of x? 8 Let n(p) = -p**3 - 5*p**2 - 4*p + 4. Let c be n(-4). Suppose -c*l - 16 = 3*x, 3*l + 20 = 4*x + 8. What is the tens digit of (-153)/l - (-5)/(-20)? 3 Let q(j) = -4*j + j**2 + 2*j - 2*j - 4. Suppose -u = 5*t - 39, 4*t + 22 = 6*t + 2*u. What is the tens digit of q(t)? 1 Let v = 9 + 9. Suppose 3*k - 12 = v. What is the units digit of ((-135)/(-30))/(1/k)? 5 Let y(i) = -2*i + 36. Let l be y(20). What is the tens digit of l/(-2)*(17 + 0)? 3 Suppose 6*b - 2*b + 5*m = 3761, -3*m = -2*b + 1897. Suppose -3*p = -8*p + 2*t + b, 0 = 4*p - 5*t - 745. What is the units digit of p? 0 Let l = -138 - -198. Suppose 0 = s + 3*s + 3*q - 69, 5*q = 5*s - l. What is the units digit of s? 5 Let s(j) = -j. Let a(p) = -57*p. Let t(q) = -a(q) - 6*s(q). What is the units digit of t(1)? 3 Suppose 6 = -6*c + 3*c, 4*x + c - 2250 = 0. What is the units digit of x? 3 Suppose -2*r = -5*m - 6178, -r + m + 2887 = -196. What is the units digit of r? 9 Let j(n) = -22*n. Let d(i) = -21*i. Let w(o) = 7*d(o) - 6*j(o). What is the units digit of w(-7)? 5 Let f = 31 - 26. Let z be ((-12)/(-10))/(f/25). What is the units digit of z/(-7)*(1 + -8)? 6 Let j = 15 - 10. Suppose j*l + 160 = 2*h, -5*h + 4*l = -3*h - 160. Suppose 25 + h = 5*d. What is the tens digit of d? 2 Suppose 132*f - 101*f - 60512 = 0. What is the units digit of f? 2 Let j(b) = b**3 - 20*b**2 - 14*b - 20. Let c be j(21). Let u = -34 + c. What is the tens digit of u? 9 Suppose -3*d = -2*d - 2*i - 111, 4*i = 20. What is the hundreds digit of d? 1 Suppose -5*p = 3*x - 3483, 0 = -5*x - 2*p - 3*p + 5805. What is the hundreds digit of x? 1 Suppose 157
{ "pile_set_name": "DM Mathematics" }
ect the terms in -8*t**2 - 8*t**2 + 7*t**2 + 15*t**2 + 13*t**2. 19*t**2 Collect the terms in -10*h - 9 - 15*h - 11*h + 34*h. -2*h - 9 Collect the terms in 13*b**3 - 37*b**3 + 9*b**3. -15*b**3 Collect the terms in 37*b**2 - 124*b**2 + 46*b**2 + 44*b**2. 3*b**2 Collect the terms in -5*u - 36*u**2 + 5*u. -36*u**2 Collect the terms in 2*w - 3*w + 13 - 37. -w - 24 Collect the terms in -9*r**3 + 0*r**3 + 4*r**3 - 12*r**3. -17*r**3 Collect the terms in 6 - 4*b - 2*b - 10*b. -16*b + 6 Collect the terms in j**3 - 4*j**3 + j**3 + j**3 + 4*j**3. 3*j**3 Collect the terms in -32*o - 38*o + 70*o - 9*o**3. -9*o**3 Collect the terms in 5*q - 17*q + 9*q + 7*q. 4*q Collect the terms in 4*m**2 + 3*m**2 - 25*m**2 - m**2 + 14*m**2. -5*m**2 Collect the terms in 94 - o**2 + 5*o**2 - 147 + 53. 4*o**2 Collect the terms in -191 + 2*h + 191. 2*h Collect the terms in 618*w - 1222*w + 601*w. -3*w Collect the terms in 81*w - 68*w**3 - 81*w. -68*w**3 Collect the terms in -15*l**3 + 63*l**3 + 32*l**3. 80*l**3 Collect the terms in 36*j**2 - 14*j**2 - 19*j**2. 3*j**2 Collect the terms in 0*r + 40*r - 8*r - 17*r. 15*r Collect the terms in -32*v**3 - 4*v**2 + 2*v**3 + 4*v**2. -30*v**3 Collect the terms in -2*u - 3*u + 7*u. 2*u Collect the terms in m**3 + 2*m**3 + 5*m**3 + 0*m**3. 8*m**3 Collect the terms in -159*g**3 + 8*g**2 - 8*g**2. -159*g**3 Collect the terms in -1 - 21*u**2 + 0*u**2 + 1. -21*u**2 Collect the terms in 5*y**3 + 10*y**3 - 12*y**3. 3*y**3 Collect the terms in 11*q - 2*q**3 + 29*q**2 - 4*q**2 - 11*q. -2*q**3 + 25*q**2 Collect the terms in 3*i - 112 + 51 + 17*i + 57. 20*i - 4 Collect the terms in -312 + 3*m - 5*m + 2*m + 4*m**2. 4*m**2 - 312 Collect the terms in 4*m - 3*m + 15*m. 16*m Collect the terms in 10*t - 98*t - 72*t. -160*t Collect the terms in -3*k - 6*k**3 - 9*k**3 + 3*k. -15*k**3 Collect the terms in 21*m**3 - 21*m**3 + 10*m**3. 10*m**3 Collect the terms in 13*w**2 + 18*w**2 - 48*w**2 + 18*w**2. w**2 Collect the terms in 2 + p**2 - 1 - 1. p**2 Collect the terms in -2*y**3 - y + 15*y - 14*y. -2*y**3 Collect the terms in -9*n**3 + 23*n**3 - 10*n**3. 4*n**3 Collect the terms in s**2 - 4*s**2 + 5*s**2 + 5*s - 5*s. 2*s**2 Collect the terms in -32 - 6*d - 28 + 60. -6*d Collect the terms in 4*m + 0*m**2 + 0*m**2 + m**2. m**2 + 4*m Collect the terms in 44 + g**3 - 88 + 44. g**3 Collect the terms in 450*i**3 - 226*i**3 - 226*i**3. -2*i**3 Collect the terms in 52 - 93 + 41 - 2*a. -2*a Collect the terms in 596*f + f**3 - 596*f. f**3 Collect the terms in 88*x**2 - 32*x**2 + 27*x**2. 83*x**2 Collect the terms in -7*b**3 + 13*b**3 + 16*b**3. 22*b**3 Collect the terms in 6*p**2 - 19*p**2 + 4*p**2 - 15*p**2. -24*p**2 Collect the terms in -10*z**3 - 18*z**3 + 12*z**3. -16*z**3 Collect the terms in -4*c**3 - 17*c + 16*c + c. -4*c**3 Collect the terms in -8 + 11 - 4*j**2 - 3. -4*j**2 Collect the terms in 7866*h - 3*h**2 - 7866*h. -3*h**2 Collect the terms in -22*t + 14*t + 22*t. 14*t Collect the terms in -11775 + 23*d + 11775. 23*d Collect the terms in 108 - 8*t**2 + 12*t**2 - 59 - 49. 4*t**2 Collect the terms in -219*f**2 + 8*f**3 + 219*f**2. 8*f**3 Collect the terms in -35 + 29 + 25 + 3*a. 3*a + 19 Collect the terms in 2*c**2 + 9*c**2 - 5*c**2. 6*c**2 Collect the terms in 495*c - 6*c**3 - 495*c. -6*c**3 Collect the terms in -14*o + 11*o + 29*o. 26*o Collect the terms in -81*m + 40*m + 49*m. 8*m Collect the terms in 38*x**2 + 35*x**2 - 73*x**2 + x**3. x**3 Collect the terms in -34*s + s**2 + 34*s - 2*s**2. -s**2 Collect the terms in 19*a**2 + 21*a**2 - 88*a**2 + 25*a**2 + 28*a**2. 5*a**2 Collect the terms in 4*q**2 - 2*q**2 + 0*q**2 + 5. 2*q**2 + 5 Collect the terms in -16 + 28 - 66*j - 13 + 10*j. -56*j - 1 Collect the terms in -624*q + 329*q + 371*q. 76*q Collect the terms in -1955*n**3 - 345*n**3 + 281*n**3. -2019*n**3 Collect the terms in -4 - 30*j**3 + 4 + 25*j**3. -5*j**3 Collect the terms in 504*i - 504*i - 17*i**3. -17*i**3 Collect the terms in 746*g - 746*g + g**2 - 8*g**2. -7*g**2 Collect the terms in -3*d - 662 + 662. -3*d Collect the terms in 4306 - x - 4306. -x Collect the terms in -s + 9*s + 4*s + 6*s. 18*s Collect the terms in -72 + 2*s + 0*s**2 - 2*s**2 - 2*s. -2*s**2 - 72 Collect the terms in -o**3 + 2*o**3 + 4*o**3. 5*o**3 Collect the terms in -7 + 60*i**3 + 7. 60*i**3 Collect the terms in -53*d**2 - 3*d**3 + 53*d**2. -3*d**3 Collect the terms in -164*h**3 + 74*h**3 + 87*h**3. -3*h**3 Collect the terms in -4*i**2 + 4*i**2 + 2*i**2 + i**2. 3*i**2 Collect the terms in -3 - 3 + y + 4. y - 2 Collect the terms in -2*v**2 + 7*v**2 - 5*v**2 - 5*v**3. -5*v**3 Collect the terms in -f - 10*f + 6*f - 6*f. -11*f Collect the terms in 19 - 19 - 2*t + 0*t. -2*t Collect the terms in 2*l**3 - 57*l**2 + 57*l**2 + 4*l**3. 6*l**3 Collect the terms in 1893*l**2 - 949*l**2 - 942*l**2. 2*l**2 Collect the terms in -3*w**2 + 3*w + 3*w - 29 - 6*w. -3*w**2 - 29 Collect the terms in -50 + 28 - 9*t + 22. -9*t Collect the terms in 11*l**3 - 26*l**3 + 0*l**3. -15*l**3 Collect the terms in 1 + 5 - 35*x**3 - 6. -35*x**3 Collect the terms in 3*d + 19*d + 10*d + 4*d**3. 4*d**3 + 32*d Collect the terms in -38*f - 34*f + 78*f. 6*f Collect the terms in 0*w + 17*w + 60*w. 77*w Collect the terms in -7 - z + 9 - 2. -z Collect the terms in -221*h + 1 + 212*h - 1. -9*h Collect the terms in -96*f + 41*f + 57*f. 2*f Collect the terms in 3*o - 9*o**2 - 5*o + 3*o - 3*o. -9*o**2 - 2*o Collect the terms in 5*r**2 - 9*r**2 + 2*r**2 - 15*r**2. -17*r**2 Collect the terms in 2823*j**2 - 2823*j**2 - 6*j**3. -6*j**3 Collect the terms in -11*l**2 - 3*l**2 + 15*l**2. l**2 Collect the terms in h**3 + 2*h**3 - 2*h**3. h**3 Collect the terms in -805*r - 3*r**3 + 805*r. -3*r**3 Collect the terms in 13*n**3 - 17*n**3 + 82*n**3. 78*n**3 Collect the terms in -7*l**3 + 8*l**2 - 8*l**2. -7*l**3 Collect the terms in 0*j**2 + j**3 + 15*j**2 - 2*j**3 - 15*j**2. -j**3 Collect the terms in a**3 - a + 0*a**3 + a. a**3 Collect the terms in -237*q - q**3 - 2*q**3 + 5*q**3. 2*q**3 - 237*q Collect the terms in 18*s**3 + 0*s + 0*s. 18*s**3 Collect the terms in 22*a**2 - 45*a**2 + 12*a**3 + 23*a**2. 12*a**3 Collect the terms in -8 - 6 + 2*a**3 - 3*a**3. -a**3 - 14 Collect the terms in 62*u - 16*u + 32*u. 78*u Collect the terms in 3 - 3 - 3313*g**3 + 3310*g**3. -3*g**3 Collect the terms in 2050 - 96*w - 2050. -96*w Collect the terms in 3*a**3 - 10*a**3 - 68*a**3. -75*a**3 Collect the terms in -12*m**3 + 3*m**3 + m**3. -8*m**3 Collect the terms in -74763 - 74764 + p + 149527. p Collect the terms in 11*t**2 - 3*t + 3*t. 11*t**2 Collect the terms in 3*s**2 + 1265*s - 629*s - 636*s. 3*s**2 Collect the terms in -f**3 + 11*f**3 - 2*f + 0*f**3. 10*f**3 - 2*f Collect the terms in 5 - 2*k + 4 - 1. -2*k + 8 Collect the terms in -9 - 2*y - y - 2*y. -5*y - 9 Collect the terms in 7*t**3 - 2*t**3 - 6*t**3. -t**3 Collect the terms in 141*r - 71*r + 77*r. 147*r Collect the terms in 29 - 29 - 249*v. -249*v Collect the terms in -6*g**2 - 4*g**3 + 9*g**3 + 6*g**2. 5*g**3 Collect the terms in 14*d**2 - 14*d**2 + 40*d**3. 40*d**3 Collect the terms in -377*m**3 - 157*m**3 - 609*m**3. -1143*m**3 Collect the terms in 210*j**3 + 178*j**3 - 565*j**3 + 179*j**3. 2*j**3 Collect the terms in 149*w - 300*w + 150*w. -w Collect the terms in 8 - 8 - 2*t**2. -2*t**2 Collect the terms in 4897*t - 2453*t - 2448*t. -4*t Collect the terms in 893*u**3 - 444*u**3 - 453*u**3. -4*u**3 Collect the terms in 5 + 4*k**3 + 0 + 2 - 1. 4*k**3 + 6 Collect the terms in 27*w**2 + 24*w**2 + 21*w**2 - 71*w**2. w**2 Collect the terms in -2*h**2 - 2*h + 9*h - 7*h**2. -9*h**2 + 7*h Collect the terms in n**2 + 3026449 - 3026449. n**2 Collect the terms in 540*d + 527*d - 1072*d. -5*d Collect the terms in 11*c**3 + 27*c**3 - 39*c**3. -c**3 Collect the terms in 11*r**3 + 0*r**3 + 6*r**3 + 4*r**3. 21*r**3 Collect the terms in 5*k**2 - 7 - 7 + 14. 5*k**2 Collect the terms in -323*x**3 + 6*x + 324*x**3 - 6*x. x**3 Collect the terms in -10*y**2 - 15*y**2 + 34*y**2 - 12*y**2. -3*y**2 Collect the terms in -55*a + 12*a + 37*a + 27*a. 21*a Collect the terms in -54 - 2*k**2 + 3*k**2 + 54. k**2 Collect the terms in -g**2 - 16*g + 7*g + 9*g + 27. -g**2 + 27 Collect the terms in 6*o**3 + o**3 - 7*o**3 + 4*o**3. 4*o**3 Collect the terms in 4*x**2 - 4*x**2 - 3*x**2 + 0*x**2. -3*x**2 Collect the term
{ "pile_set_name": "DM Mathematics" }
104. Determine p(7). 29 Let a(b) = 39*b**3 + 549*b**2 + 48*b + 50. Determine a(-14). -34 Let g(q) = 32*q**2 + 346*q - 1366. Give g(4). 530 Let j(y) = -4*y**2 + 323*y - 1301. Calculate j(76). 143 Let n(b) = 3*b**3 - 108*b**2 + 901*b - 3162. What is n(26)? -16 Let h(n) = -45*n**2 + 29*n + 62. What is h(-4)? -774 Let z(o) = -27724*o - 8566720. What is z(-309)? -4 Let m(o) = 21*o**3 + 6593*o**2 - 319*o - 1690. What is m(-314)? -120 Let f(d) = -2*d**3 + 173*d**2 + 4509*d - 25. Give f(-21). 101 Let u(b) = -325*b - 4161. Determine u(-16). 1039 Let x(z) = -33*z + 1513. What is x(37)? 292 Let v(w) = 21360*w + 2221446. Calculate v(-104). 6 Let d(x) = -x**2 - 14421*x + 173203. Determine d(12). 7 Let y(w) = -43083*w + 85551. Determine y(2). -615 Let z(v) = -v**3 - 23*v**2 + 7*v - 745. What is z(-27)? 1982 Let l(v) = -69*v**2 - 58363*v + 9301. Determine l(-846). -5 Let l(k) = -367*k**3 + 4211*k**2 - 1913*k - 14. What is l(11)? -3 Let r(k) = -5*k**3 - 532*k**2 - 239*k - 1662. Calculate r(-106). 1200 Let b(y) = -1073*y - 40933. Determine b(-39). 914 Let f(y) = 26*y**3 + 12*y**2 + 76*y + 220. Calculate f(-5). -3110 Let s(l) = 202*l + 67938. Calculate s(-338). -338 Let f(q) = q**2 - 1279*q + 30130. Calculate f(24). 10 Let c(x) = 116*x**2 + 5385*x - 134. Determine c(-47). 3015 Let c(o) = -106215*o - 424851. Determine c(-4). 9 Let q(x) = -x**3 + x**2 - 19*x - 499. Determine q(-7). 26 Let y(v) = 14*v**2 + 301*v - 6619. Calculate y(-35). -4 Let r(c) = 3*c**3 - 336*c**2 + 3074*c - 2636. Determine r(9). 1 Let i(z) = -2002*z**2 - 28024*z + 49. What is i(-14)? -7 Let n(o) = 9032*o + 1147059. What is n(-127)? -5 Let h(w) = 229*w - 35548. What is h(155)? -53 Let l(v) = 1320*v + 3960. Calculate l(-3). 0 Let s(i) = 14*i**2 - 308*i + 128. What is s(33)? 5210 Let s(r) = -2*r**3 - 158*r**2 + 1472*r + 126981. What is s(-78)? -3 Let t(c) = -22*c**2 + 18829*c + 135474. Determine t(863). -17 Let j(b) = -2*b**2 + 926*b - 52403. Determine j(397). 1 Let o(r) = 182*r + 1635. What is o(-9)? -3 Let r(w) = -1209*w**2 + 12053*w + 19. Give r(10). -351 Let p(d) = -426*d + 1001. Give p(1). 575 Let h(y) = -3265*y + 969699. Determine h(297). -6 Let a(n) = -11719*n - 128711. What is a(-11)? 198 Let w(b) = b**3 + 31*b**2 + 2144*b + 63503. Give w(-30). 83 Let d(g) = -g**3 - 26*g**2 - 46*g - 151. Determine d(-21). -1390 Let q(h) = -578*h - 799. Calculate q(-2). 357 Let u(t) = -1058*t - 405133. Calculate u(-383). 81 Let x(v) = -v**2 + 8221*v - 24651. Calculate x(3). 3 Let d(p) = 5*p**2 - 65*p - 45. What is d(14)? 25 Let p(k) = -48*k**3 + 2*k**2 - 5. What is p(2)? -381 Let p(h) = -2419*h - 47379. What is p(-19)? -1418 Let q(d) = -308*d + 1774. Calculate q(4). 542 Let k(x) = x**3 + 77*x**2 - 1139*x + 2899. Determine k(-90). 109 Let f(t) = t**3 - 45*t**2 + 485*t - 183. What is f(26)? -417 Let o(t) = 2*t**3 + 28*t**2 + 39*t - 171. What is o(-6)? 171 Let j(d) = -7*d**2 + 132*d - 88. What is j(16)? 232 Let l(k) = -k**3 - 333*k**2 + 498*k + 54732. Calculate l(-334). -44 Let w(d) = 16435*d + 4799022. Calculate w(-292). 2 Let a(b) = 5*b**2 + 7*b - 2751. Determine a(30). 1959 Let k(d) = 59*d**3 + 3*d**2 - 120*d - 241. Determine k(-2). -461 Let j(c) = -14629*c + 2340630. Give j(160). -10 Let n(f) = f**3 - 107*f**2 + 911*f - 97474. What is n(107)? 3 Let s(v) = 34052*v - 578878. Determine s(17). 6 Let b(u) = 23989*u - 2302960. Give b(96). -16 Let s(w) = -w**2 - 133976*w - 2143437. Calculate s(-16). -77 Let h(j) = j**3 - 7*j**2 - 300*j + 2111. What is h(7)? 11 Let g(u) = -4203*u - 32398. What is g(-8)? 1226 Let i(z) = 112*z**3 + 9*z**2 + 195*z + 187. Give i(-1). -111 Let a(s) = -s**3 + 1217*s**2 + 6199*s + 442. Calculate a(-5). -3 Let h(t) = 836*t - 41279. Calculate h(50). 521 Let a(p) = -2384*p + 483947. What is a(203)? -5 Let d(i) = 2073*i - 441517. Determine d(213). 32 Let q(w) = 21*w**3 + 11*w**2 - 45*w + 66. What is q(3)? 597 Let m(n) = -4*n**3 - 97123*n**2 - 97111*n + 11. What is m(-1)? 3 Let a(l) = -10*l**2 - 944*l + 7101. What is a(7)? 3 Let h(r) = -1783*r + 123016. Determine h(69). -11 Let a(s) = -2*s**3 - 27*s**2 - 44*s + 48. Calculate a(-9). -285 Let q(v) = -2*v**3 + 66*v**2 + 238*v - 10803. Determine q(14). -23 Let y(x) = 41571*x + 457288. What is y(-11)? 7 Let y(z) = 3*z**3 - 1614*z**2 + 31*z - 16686. Determine y(538). -8 Let z(r) = r**2 + 21467*r + 128740. What is z(-6)? -26 Let x(w) = 4*w**3 + 1159*w**2 - 304*w - 4050. What is x(-290)? 10 Let v(z) = -2*z**3 + 509*z**2 + 819*z - 13606. Give v(256). -550 Let x(c) = -4*c**2 - 8737*c - 69677. Calculate x(-8). -37 Let p(j) = 11906*j + 404801. What is p(-34)? -3 Let l(d) = 93*d - 1608. Determine l(24). 624 Let l(o) = o**2 + 5340*o - 329460. Determine l(61). 1 Let d(n) = -598*n + 17065. Determine d(34). -3267 Let s(v) = 7*v**2 + 5520*v + 27623. Give s(-5). 198 Let l(i) = -i**3 - 69*i**2 + 2006*i + 8626. Determine l(25). 26 Let m(j) = -6*j**3 + 32*j**2 + 63*j - 299. Determine m(4). 81 Let u(c) = -3*c**2 - 54*c - 145. Give u(-6). 71 Let g(v) = 47*v + 2102. Calculate g(-41). 175 Let w(x) = 2*x**3 + 990*x**2 - 2042*x - 26834. Give w(-497). 4 Let x(h) = 431*h - 5524. Calculate x(12). -352 Let n(a) = 131*a - 30326. What is n(235)? 459 Let s(v) = v**3 + 58*v**2 + 745*v + 566. Determine s(-18). 116 Let t(u) = -2*u**2 + 302*u - 371. Calculate t(151). -371 Let s(y) = 2*y**3 - 26*y**2 - 97*y + 1257. What is s(13)? -4 Let s(l) = 2*l**3 + 19*l**2 - 53*l - 519. What is s(-5)? -29 Let s(g) = 392*g**3 + 1172*g**2 + 17*g + 81. Give s(-3). -6 Let i(x) = -293*x**2 + 2766*x - 91. Calculate i(10). -1731 Let x(s) = -47309*s - 804249. Calculate x(-17). 4 Let q(u) = -339*u + 40537. Calculate q(120). -143 Let u(w) = 9984*w - 59912. Calculate u(6). -8 Let k(d) = -8*d**3 + 20*d**2 - 63*d - 44. Calculate k(0). -44 Let t(p) = -37062*p - 1593695. Calculate t(-43). -29 Let c(m) = -m**2 - 19253*m + 1838070. Give c(95). 10 Let v(s) = -32417*s - 29. Calculate v(0). -29 Let l(s) = -1410*s + 7085. What is l(5)? 35 Let w(l) = 5*l**2 - 264*l + 64. Determine w(53). 117 Let j(k) = -165*k**2 + 24*k - 5. What is j(-2)? -713 Let h(g) = -g**2 - 2977*g - 64962. What is h(-22)? 48 Let t(p) = 1144*p**3 + 9*p**2 - 6*p - 13. Give t(-1). -1142 Let p(t) = -6521*t - 163007. Calculate p(-25). 18 Let d(q) = 4787*q + 38257. What is d(-8)? -39 Let i(v) = 482*v**2 - 41451*v - 87. Give i(86). -1 Let l(t) = -t**3 - 26*t**2 - 151*t - 3392. Calculate l(-28). 2404 Let c(r) = -46632*r + 326413. What is c(7)? -11 Let m(b) = -27889*b - 223209. Give m(-8). -97 Let n(g) = -9*g**2 - 160*g + 633. What is n(4)? -151 Let w(f) = 3*f**3 - 225*f**2 - 341*f + 8513. Determine w(76). -75 Let i(t) = -10*t**2 + 24*t + 750. Give i(10). -10 Let r(y) = 3988*y + 46337. Calculate r(-12). -1519 Let h(g) = -2879*g + 391542. Determine h(136). -2 Let h(y) = -y**3 - 18*y**2 + 269*y + 4849. Determine h(-16). 33 Let m(k) = -k**2 - 419*k - 17138. Determine m(-47). 346 Let b(n) = 31*n**2 - 23*n - 163. Determine b(-12). 4577 Let x(h) = 33*h**2 + 1279*h - 347. Calculate x(-39). -35 Let a(v) = 22609*v + 2758300. What is a(-122)? 2 Let n(v) = v**3 - 91*v**2 - 2950*v - 1260. Calculate n(-25). -10 Let z(b) = 145971*b - 3795266. Calculate z(26). -20 Let b(l) = -l**2 + 152*l + 2048. Give b(-16). -640 Let x(z) = 18522*z - 111371. What is x(6)? -239 Let n(d) = d**2 - 786*d + 88602. Determine n(137). -311 Let z(o) = -16*o**3 - 963*o**2 - 4415*o + 15. Calculate z(-5). 15 Let s(p) = -40851*p - 776175. Calculate s(-19). -6 Let h(a) = 58*a**2 + 76*a + 87. Determine h(-1). 69 Let w(k) = 1558*k + 113817. Determine w(-72). 1641 Let n(m) = 6*m**3 - 963*m**2 - 489*m + 488. Calculate n(161). -478 Let o(p) = 15*p**2 + 186*p + 457. Give o(-12). 385 Let j(i) = 6047*i - 973533. Give j(161). 34 Let m(o) = 2*o**2 - 153*o - 1200. What is m(72)? -1848 Let h(l) = 1704*l + 1064927. Determine h(-625). -73 Let r(n) = -n**3 - 35*n**2 + 180*n + 78. Give r(-39). -858 Let u(k) = 4263*k + 1858643. Give u(-436). -25 Let h(l) = 26*l**2 + 2466*l + 238. What is h(-94)? -1830 Let k(b) = -566*b + 2848. Calculate k(5). 18 Let h(m) = -1504*m + 6888. Give h(4). 872 Let m(q) = 219085*q - 12706927. Give m(58). 3 Let s(w) = -37*w**2 + 2769*w - 2289. Calculate s(74). 5 Let n(k) = -190892*k - 33787882. Determine n(-177). 2 Let k(j) = -9378*j + 178199. Give k(19). 17 Let q(k) = -k**3 + 223*
{ "pile_set_name": "DM Mathematics" }
2. -735 + 3*sqrt(3) Simplify (-5*sqrt(432))/(sqrt(28)/(sqrt(7)*-2)) - ((sqrt(75) + -1 - -1*sqrt(48)) + sqrt(21)/((sqrt(126)/sqrt(2))/sqrt(9))). 1 + 50*sqrt(3) Simplify -1*(5 + ((sqrt(539) + -2*sqrt(539)*-1)*-2 - (-5 + (sqrt(539) - (sqrt(539) + 0)) + sqrt(539))*1))**2*4. -106044 + 3920*sqrt(11) Simplify (sqrt(1936) + (sqrt(1936) - (sqrt(1936)*-1 + sqrt(1936))))/((sqrt(8) + sqrt(16)/sqrt(2))*1) + 6*(sqrt(968)*-1*1 - sqrt(968))**2. 11*sqrt(2) + 23232 Simplify (-5*1*(-2 + sqrt(242) - sqrt(242)) + -1 + -3*(sqrt(242) + 3) + 3 + 1*sqrt(242) + sqrt(242))**2 + 5. -66*sqrt(2) + 256 Simplify (-2 + sqrt(11) + 3 - (sqrt(11) + 2 - sqrt(11))*6) + (-6*(sqrt(275) + (sqrt(275) + 0)**2) - ((3*(0 + sqrt(275) + sqrt(275)))**2 - sqrt(275))). -11561 - 24*sqrt(11) Simplify (-4*2*sqrt(117)*6*-6)/(sqrt(729) - (sqrt(729) + (sqrt(729) - 2*(sqrt(729) - (sqrt(729) - 1*sqrt(729))))) - (2*sqrt(729)*-1 + sqrt(729))) + 4. 4 + 16*sqrt(13) Simplify 0 + (((sqrt(225)*-6)/(5*sqrt(12)/sqrt(4)))**2 - ((sqrt(75) - 2*sqrt(75))**2 + sqrt(75) - (sqrt(3) + (0 + sqrt(3) + 3 - sqrt(3))**2))). -4*sqrt(3) + 42 Simplify ((-1*6*-2*sqrt(102)*-6)/(sqrt(36)/sqrt(6)*-4 + -3*sqrt(18)/sqrt(3))*-5)**2. 2203200/49 Simplify ((sqrt(42) - sqrt(42)*-5*6)/(3*sqrt(42)/sqrt(7) - sqrt(6)) + 0)*3. 93*sqrt(7)/2 Simplify ((sqrt(20)/(-3*sqrt(20)/sqrt(2)) - (-5 + sqrt(18)/(sqrt(36) + sqrt(9)))) + -1 + sqrt(162)*-3 + (sqrt(162) - (1 + sqrt(162)))*1)**2. -166*sqrt(2) + 13859/9 Simplify -2*(2 + sqrt(891)) - 4*(3*sqrt(891) - sqrt(891)) - (-2 + (-1 + sqrt(891))*-4*-4). -234*sqrt(11) + 14 Simplify (-1*(0 + (sqrt(210)/sqrt(6)*4)/sqrt(7) + sqrt(80)*3 + sqrt(45) + sqrt(405) + -4))**2. -224*sqrt(5) + 3936 Simplify (1 + -3 + (sqrt(343) - (-4*(sqrt(343) + -3) + sqrt(343))) + -3*-5*1*sqrt(343)*1)**2. -3724*sqrt(7) + 124019 Simplify 2*(-2*((sqrt(33) + -1*sqrt(825))/sqrt(11) - sqrt(12)/(sqrt(4) + (-1*sqrt(400) + sqrt(4) - sqrt(4)))))**2. 9800/27 Simplify 6*1*((sqrt(720) - (-1 + -1 + sqrt(720)) - ((sqrt(720) + (sqrt(720) - (sqrt(720) - 1*sqrt(720))))**2 + -2)) + (-1*sqrt(720)*-2*6)**2)*4. 2419296 Simplify 6*(1 + -1 + (4 + sqrt(288)*1 + sqrt(288) + -1)**2). 864*sqrt(2) + 6966 Simplify (2*(3*(-3*-1*sqrt(405) + sqrt(405) + sqrt(405) + sqrt(405)) - (0 + 0 + sqrt(405) - sqrt(405) - sqrt(405))*2)*-5)**2. 16200000 Simplify -1 + (-1 + 0 + -2 + sqrt(3) - ((sqrt(300) + 1)**2 + sqrt(3) + 1 + 3)) + 2. -307 - 20*sqrt(3) Simplify ((sqrt(294)*1 + sqrt(294))*-5 + sqrt(294))/(sqrt(30)/(sqrt(800)/sqrt(5)))*6. -1512*sqrt(2) Simplify 2*(((sqrt(500) + 1)*2)**2*-4 + 1*(2 + sqrt(500) + -3))*-3. 1860*sqrt(5) + 48102 Simplify (-6*6*sqrt(85)*1*6)/((sqrt(720) - 4*(sqrt(720)*-1 + sqrt(720))) + sqrt(720) + (5*-1*sqrt(720) - sqrt(720))). 9*sqrt(17)/2 Simplify (-3*(sqrt(48) + 0) + sqrt(48) - ((sqrt(432)/(sqrt(9)*3))**2 - sqrt(48))) + -6*(sqrt(48) + 0)*3*5. -364*sqrt(3) - 16/3 Simplify ((-4*(sqrt(65) + sqrt(65)*1) - (sqrt(65) + (sqrt(65) - sqrt(65)*-1)*6))/(-3*sqrt(80)*2))**2 + -5. 317/64 Simplify 4*(3 + 0 + sqrt(252)*-1 + 0)**2*1*5. -720*sqrt(7) + 5220 Simplify -4*sqrt(245)*1 + (sqrt(245) + 2 + sqrt(245) - sqrt(245))**2 + -1 + (0 + sqrt(245))*1 + (3*(sqrt(245) - (1 + sqrt(245))) + sqrt(245))**2 + 0. -35*sqrt(5) + 502 Simplify (2*sqrt(130)*-1*-6*6)/((1*sqrt(80)*-2)/(sqrt(96)/(sqrt(12)*1 + sqrt(12) - sqrt(12)))). -36*sqrt(13) Simplify 5*(-2*sqrt(475) + -5 + -5*(sqrt(475) + (5*sqrt(475))**2)) + -2. -296902 - 175*sqrt(19) Simplify (-6*-1*(sqrt(152) + (sqrt(152) - -2*sqrt(152)))*-4)/(1*sqrt(1152)*1*4). -2*sqrt(19) Simplify sqrt(605) + 4 + 2 + sqrt(125) + 6*(-1 + sqrt(80) + 5)**2. 208*sqrt(5) + 582 Simplify (-5 + (-6*sqrt(637)*-1*-2*-6 - (1 + sqrt(637) + -5 + 3*1*sqrt(637))))**2. -952*sqrt(13) + 2945489 Simplify (-4 + (sqrt(56)/sqrt(2)*6)/(-4*(sqrt(36) + sqrt(4))))**2 - ((sqrt(42)/sqrt(24) + sqrt(7))**2 + -5 + (2*sqrt(21))/sqrt(3)*-6). 399/64 + 15*sqrt(7) Simplify ((sqrt(204) + 1*sqrt(204))*1)/(sqrt(144)/(1*sqrt(12))) - (-2*-2*(sqrt(425) + 2))**2. -6864 - 318*sqrt(17) Simplify (1*sqrt(2662)*-5 - ((sqrt(2662) - 5*-1*sqrt(2662)) + sqrt(2662)))/(1*(sqrt(2)*-1*-3 - 2*sqrt(128))). 132*sqrt(11)/13 Simplify -2*(((sqrt(112)*-1 + sqrt(28))*-6)/((sqrt(324) - sqrt(324)*-3)*-5))**2*3. -7/150 Simplify (-1*sqrt(17)*-1 - sqrt(1700)*4) + (((5 + sqrt(2448) + 2 - sqrt(2448)) + sqrt(2448))*-4)**2. 2649*sqrt(17) + 39952 Simplify (5 + sqrt(2940)/sqrt(12) + sqrt(5))**2 + 0 + (sqrt(550)/(sqrt(10) + 2*sqrt(10)))/(sqrt(99) - sqrt(99)*-2). 2161*sqrt(5)/27 + 345 Simplify ((0 + (sqrt(245) + -3 + -3 - (-3*(4 + sqrt(245)) + sqrt(245)))*-3*1)*-5)**2. 56700*sqrt(5) + 504225 Simplify ((4*(sqrt(11) + 1)*-4 + 5)*4)**2 - (-1*-3*sqrt(33))/(5*sqrt(12)/sqrt(4)). 28157*sqrt(11)/5 + 46992 Simplify 6*(-1*-2*(sqrt(684)*3 + -4 - (sqrt(684) - -6*(0 + sqrt(684) - sqrt(684)) - sqrt(684))))**2. -3456*sqrt(19) + 148128 Simplify (((-2*sqrt(264)*2)/((sqrt(192) + sqrt(192)*-1 - sqrt(192) - sqrt(192)) + sqrt(192)))/((-4*sqrt(72)/sqrt(4))/(sqrt(9)*1*5 + sqrt(9))))**2. 99/4 Simplify (-6*(-5 + sqrt(704)*-1))**2 - (sqrt(22)/sqrt(2)*1 - ((sqrt(11) - 2*sqrt(11)) + -2))*3. 2874*sqrt(11) + 26238 Simplify ((-2*sqrt(525)*4)/((sqrt(252)*2 - sqrt(252))*-2))**2 + 1. 103/3 Simplify (sqrt(77) - (sqrt(77) + 6*-1*sqrt(77)) - (sqrt(77) + -5*sqrt(77)*-4 + sqrt(77) - sqrt(77)))/((2*sqrt(99) + sqrt(11) - (sqrt(11) - sqrt(11)*-1)*-2)*-1). 15*sqrt(7)/11 Simplify (-3 + (-4*-4*(sqrt(72) + 2 + sqrt(72)) + 3 + (sqrt(72) - (sqrt(72) + 4 + -4)))*-6)**2. 490752*sqrt(2) + 2699577 Simplify (-6*(-1 + (sqrt(20)/sqrt(32))/sqrt(5) + sqrt(14)/sqrt(63) + -4 + 5))**2. 49/2 Simplify (((sqrt(144) + (sqrt(144) - sqrt(144)*1)*3)/(4*(sqrt(16)/sqrt(2) + sqrt(8)) - sqrt(8)))/(sqrt(144)*3 - (sqrt(9) + sqrt(486)/sqrt(6))))**2. 1/1568 Simplify (4*(((-2 + sqrt(208))*-1 - sqrt(208)) + (sqrt(208) + sqrt(208)*-2 + sqrt(208))*-6))**2 - -3*(0 + sqrt(208)*-1 + -3*(sqrt(208) + 2))**2. 64*sqrt(13) + 23468 Simplify (sqrt(637)*1 - sqrt(637) - sqrt(637) - sqrt(637))*5 + -5 - (-6*(-1 + sqrt(637)*-2))**2. -91769 - 1078*sqrt(13) Simplify (-3*(1*(0 + sqrt(242))*4 + ((sqrt(242) - sqrt(242)*1) + -4 - sqrt(242) - sqrt(242)) + 4 + 4))**2*3. 4752*sqrt(2) + 26568 Simplify 1*(1 + (-1*sqrt(325) + 1)**2 + (sqrt(325)*1*6 + sqrt(325) + (sqrt(325) + 1 - sqrt(325)) + -2)**2)*-3. -48759 + 240*sqrt(13) Simplify (-1 + 5 + -1 + sqrt(192) + (2*sqrt(192) + sqrt(192))*-1 + -5*(4 + (1*sqrt(192) - sqrt(192)) + -1))**2. 384*sqrt(3) + 912 Simplify 2*(3*(sqrt(147) + (sqrt(147) - (sqrt(147) - (2*sqrt(147) - sqrt(147))))) + (1 + sqrt(147) + sqrt(147))**2 + -1 + -2). 140*sqrt(3) + 1172 Simplify (-3*(sqrt(136) - -5*sqrt(136)*1)*-3)/(-6*(sqrt(72) - (sqrt(72) + (sqrt(72) - (1*sqrt(72) + sqrt(72)))*1)))*1. -3*sqrt(17) Simplify -4*(((2 + sqrt(425) + -3 - ((sqrt(425) - (sqrt(425) + 3 + sqrt(425) + sqrt(425))*-5) + sqrt(425))) + 1 + -2)**2 + 3). -436368 - 10880*sqrt(17) Simplify 0 + (((sqrt(228) - -2*sqrt(228)) + sqrt(228))*-5 - (sqrt(228) + -1*-2*sqrt(228)))/(5*1*sqrt(192)). -23*sqrt(19)/20 Simplify -3*(-2 + 1*1*-6*(sqrt(2448) + 0)*5). 6 + 1080*sqrt(17) Simplify -4 + -2*((2*sqrt(6912))/sqrt(4))/(sqrt(54)*-4 - sqrt(6) - sqrt(864)*-2). -48*sqrt(2)/11 - 4 Simplify 1 + 4 + -4 + (1*sqrt(171)*1 - sqrt(171)*1*-3)**2 + 4. 2741 Simplify ((sqrt(13) + (sqrt(325) - sqrt(325)*2))*-3)**2 - (2*sqrt(637))**2*5 - ((sqrt(637)*-3 + sqrt(637) - (sqrt(130)*4)/sqrt(10))**2 + 0). -15080 Simplify (sqrt(70) + 6*sqrt(70)*-2 + (sqrt(70)*1*4 - sqrt(70)))/(sqrt(160) - (3*sqrt(160)*1 - sqrt(160))) + -3. -3 + 2*sqrt(7) Simplify -2 + (6*((sqrt(2736) - (sqrt(2736)*1 + sqrt(2736))*-3)**2 + sqrt(2736) + sqrt(2736))*2 + 0)*2. 576*sqrt(19) + 3217534 Simplify 5 + ((-6*(1 + sqrt(175)) + ((sqrt(175) - (sqrt(175) - (-2 + (sqrt(175)*1 - sqrt(175)) - sqrt(175)))) + sqrt(175) - sqrt(175)))*4 + -5 + -2)**2. 10920*sqrt(7) + 138726 Simplify -4 + (sqrt(121) - (sqrt(121) + sqrt(121)*-2 - sqrt(121))*-6 - (-1*sqrt(121) + sqrt(121))*-2)/(sqrt(66)/(sqrt(72)/(1*sqrt(12)))) + 2. -11*sqrt(11) - 2 Simplify (5 + (-3 + -5 + sqrt(833) + 4*sqrt(833) + sqrt(833) + sqrt(833) - ((sqrt(833) + sqrt(833) + -4)*6 + 5)))**2*-6. -126486 + 6720*sqrt(17) Simplify ((2 + 5 + 4 + (sqrt(147) + (sqrt(147) - 2*sqrt(147))*-4 - (2 + sqrt(147)*2)))*4*5)**2. 151200*sqrt(3) + 561600 Simplify ((sqrt(136) + 6*(sqrt(136) + sqrt(136) + -4*sqrt(136) - sqrt(136)))*-4)/((sqrt(24)*-5*-3)/sqrt(3)). 68
{ "pile_set_name": "DM Mathematics" }
((t/((t*(t/(t**(2/69)/t))/t)/t)*t*t**(-5/6))/(t**(-7)*t*t*t*t/(((t*t**(-31))/t)/t)))**(-17) assuming t is positive. t**(22525/46) Simplify t*(t*t**(-2/9))/t*t*t*t*t**8*(t**(-2))**(-17)*(t**1*t*t)**(-14/5)/(t*t/(((t**2/t)/t)/t))**(-2/155) assuming t is positive. t**(52196/1395) Simplify ((((s*s/s**3*s)**(-7/5))**(-30))**(2/43))**(-25) assuming s is positive. 1 Simplify ((j**(1/14)/(j*j/(j/j**(-26))*j))**21)**32 assuming j is positive. j**16176 Simplify (((t/((t**(-2/33)/t)/t))/t**(-11))/((t/(t**(3/7)/t))/t**(-21)))**(1/21) assuming t is positive. t**(-1966/4851) Simplify (((z**5/z)/(z**(-1)*z))/((z**(-2/3)*z)/(z/(z**(2/19)*z))))/((z*z**(-2/7)*z*z)**(-5/2)/(z**(1/3)*(z**(1/6)*z)/z)) assuming z is positive. z**(4328/399) Simplify (p/(p/p**0)*p**(-2/9)*(p/(p*((p**1*p)/p)/p))**(-2/61))/(p**(5/6)*p/(p**10/p))**15 assuming p is positive. p**(1931/18) Simplify ((r**(-29)/(r/(r**(-2/33)/r)))/(((r/r**(-2/129))/r)/r)**9)**(2/81) assuming r is positive. r**(-63004/114939) Simplify ((n**4)**21*(n**(-11))**(-3/5))**(2/11) assuming n is positive. n**(906/55) Simplify ((v*v**(-1/4)*v*v)/(v**(3/11)/v))**(16/9)*(v*v/(v*v/v**2)*v)**26/(v*v**(-2))**23 assuming v is positive. v**(1179/11) Simplify (y**(1/9)/y*y*(y/y**(1/4))/y*y*(y/y**(2/3))/(y**(-2/15)*y))/((y*(y*((y*y*y**(-2/7))/y)/y)/y*y*y**(-1/3))/(y*y**1/y)**(1/32)) assuming y is positive. y**(-10301/10080) Simplify ((i/(i*i**0)*(i*i**(-3/5)/i)/i)/(((i/(i/(i*i**(-6/5))))/i*i)/i**6))**0 assuming i is positive. 1 Simplify ((((n/(n*(n*n**(-14))/n)*n)/n**(-4/13))**(-45))**(-29))**(-3/14) assuming n is positive. n**(-779085/182) Simplify ((m/(m/m**(-1/12)))/m**(-7))**(-45/7)*((m/m**(-9))/(m*m*((m/(m**(1/9)*m))/m)/m*m*m*m))**(3/16) assuming m is positive. m**(-3623/84) Simplify ((a/(((a/(a**(2/13)/a))/a)/a))**21/(a**(9/2)/a*a*a/a**12))**22 assuming a is positive. a**(8789/13) Simplify ((t**(-4))**(-1/11))**11/(((t*t*t/t**(-1/5))/t)/(t*t*t**(-7/2)*t))**(-13/4) assuming t is positive. t**(511/40) Simplify ((t/((t*t**(-1/3))/t)*t)**(2/21)/(t**4/t*t*t)**(2/9))**(-39) assuming t is positive. t**(104/3) Simplify ((((y*y**(1/5))/y)**(8/3)/(y**3)**17)**36)**(-6/11) assuming y is positive. y**(54504/55) Simplify ((f**(17/4))**(-46)*f**17/f**(-1/21))**(-7/4) assuming f is positive. f**(7495/24) Simplify ((o*o**5)/o*o*o*o*o/o**7)**46/((o**(-2/7))**(-47))**(-44) assuming o is positive. o**(4780/7) Simplify ((c*c/((c*c**(21/5)*c)/c))**(-5/2)*c*c**(2/59)*c**(4/11))**6 assuming c is positive. c**(36594/649) Simplify ((l**(-1)*l*l/l**6*(l**(2/7))**(-1/3))**(-2/69))**12 assuming l is positive. l**(856/483) Simplify ((s*s**0)/(s**9/s*s*s)*(s/((s*s**(-6/7)*s)/s))/s*s**(2/7))/((s**(-7/3)/s**(-4/7))/(s**(-1/4)/s**8)) assuming s is positive. s**(-1289/84) Simplify (y*(y**(-2/5)/y)/y)**10*((y*y**0)/y)**42*((y*y*y*y*(y**4/y)/y)/y*y/y**(2/9))/(y**(2/17)/y*y**(1/2)) assuming y is positive. y**(-2399/306) Simplify (((l*l/(l*(l*(l/l**(-8))/l)/l*l*l))/l)/l*l/l**(-2/39))**(-3/14)*(l**(-1/5)/l**(-5))/(l/(l**(-2/3)/l))**(10/3) assuming l is positive. l**(-8014/4095) Simplify ((a**(2/5))**(1/21)*(a**(-2/9)*a)**(-27/2))/(a**5*a**(1/9)*a*a)**(-35) assuming a is positive. a**(150197/630) Simplify (((h/(h*h*h**1))/h)**(4/9))**(-1/3)/((h**(-2/9)/(h*(h**5/h*h)/h*h*h))/((h/((h*h/h**5)/h)*h)/(h*h**(4/3)))) assuming h is positive. h**(34/3) Simplify ((n**1*n*n)**(-1/8))**(9/4)*(n**(2/5))**30*n**(-3/7)/(n/(n/n**(-5))) assuming n is positive. n**(3523/224) Simplify (l**(-2)/((l*l**(3/2))/l*l)*l**(2/5)/l**(-1))/(l**1/l**(-2/7)*(l*l**(-2))/(l/(l**(-1/5)*l))) assuming l is positive. l**(-223/70) Simplify ((c**(-2/11)/c)**20/((c*c**(-2/13))/c)**(-5/7))**(-1/9) assuming c is positive. c**(23770/9009) Simplify (y/(y*y**(-27/5))*y**(-14))/((y*y**(-2/17)/y)/(y**26*y)) assuming y is positive. y**(1574/85) Simplify ((d*d*d**(2/5))/d**(2/3)*(((d/(d**(1/10)/d))/d*d)/d)/((d**(1/5)/d)/d))/((d**(-7/4)/d*d)/(d*d*d*d/d**(1/2)))**(-10) assuming d is positive. d**(-721/15) Simplify ((w*w**(-3)*w**(-2/9))/(w**(1/3))**43)/((w*w/w**1*w)**(-20)/(w**(2/7)*w*w)**3) assuming w is positive. w**(1909/63) Simplify ((((z/(z*z*z**(3/4)*z))/z)/z)/(z/(((z**(1/5)*z)/z)/z)))**(-1/12)*((z*z*z/(z**5*z))/(z**(3/5)/z))**26 assuming z is positive. z**(-16093/240) Simplify (((i/(i*i**7/i)*i**(-7))/(i**4/i**(-3)))**38)**0 assuming i is positive. 1 Simplify ((k*k**(-2/23)*k**5*k)/(k**(-1)*k)**(1/11))/((k*(k**0*k)/k)/(k*k**0*k*k)*k**1/k**2) assuming k is positive. k**(228/23) Simplify b/(b*b/(b/b**(-1)))*b**(-8)*(b**2)**34*(b*b**(-1/4)*b/(b**(-2/5)*b))/(((b**(-1/2)*b)/b)/b)**(-21) assuming b is positive. b**(613/20) Simplify (a/(a**(2/7)*a))**(-7)*a**(-5)/a**(2/5)*(a/(a/(a/a**(-2))*a)*a/a**(-5))/(a*((a*(a/(a**4*a))/a)/a)/a*a**3) assuming a is positive. a**(33/5) Simplify ((b/(b**(-1/3)/b)*b)/b)**(4/37)*(b/b**0)/b**(-2)*((b*b*b**(-3/7))/(b/(b**(1/13)*b*b*b)))**(2/45) assuming b is positive. b**(517333/151515) Simplify ((q**4*q/(q/(q*q**38)))**10)**31 assuming q is positive. q**13330 Simplify ((j**(2/3)*j)**(-23))**(1/5)/((j/j**(2/5))**(3/8)*(j/(j**8*j))/(j/(j/(j/(j/(j/(j*j/(j*j*(j*j**(-1/6))/j)))))*j*j)*j)) assuming j is positive. j**(-7/120) Simplify ((n**(1/16)/(n*(n/(n/(n/n**(-1))))/n))/(n**0)**(3/2))/(n**(-3)/n**(-1/2)*(n/(n/n**(-1/5)*n))/(n**8*n)) assuming n is positive. n**(861/80) Simplify (((u/((u*u*u**(-38)/u)/u))/u)/(u/(((u/(u*u**(-31)*u))/u)/u)))/(u**(-15)/u*u**(-43)) assuming u is positive. u**124 Simplify ((z**(-3/7))**(19/4)*z**(-1)/(z/((z/z**(-2/3))/z)))**(1/19) assuming z is positive. z**(-283/1596) Simplify (((r**1)**(2/29)*(r**(1/5))**33)**(-2/11))**(1/31) assuming r is positive. r**(-1934/49445) Simplify ((n*n*n**(5/3)*n)/(n**(-1/3)*n)*(n/(n*n/n**(-1)))**25)/((n*n*n**3/n*n*n)/(n*(n*(n/(n**(5/4)/n))/n)/n)*n**(1/6)*n**1) assuming n is positive. n**(-629/12) Simplify (y/y**(2/9)*y**3)**(-50)*((y**(-1/2)*y)**(-17/5))**(7/10) assuming y is positive. y**(-171071/900) Simplify ((v*v**10*v*v/(v/(v/v**(3/11)))*v)/(v**(-2/15)*v**(-1/19)))**(-42) assuming v is positive. v**(-610652/1045) Simplify ((i*i**(-1)*i)**(-4/21)/(i/(i**(-3/7)*i)*i*i**(-2)/i))/((i/(i/i**(1/4)))/i**1*(i/i**6)/(i/(i*i**(-1)))) assuming i is positive. i**(683/84) Simplify (((x/(x**(-5)/x))**(-34/9)*(x*(x**(9/4)*x)/x)/x*(x/x**(1/10))/x)**(-2/3))**(2/7) assuming x is positive. x**(4373/945) Simplify ((a/a**1*a)**(-15)/((a/(a*a**(2/13)))/a**(-3/5)))/((a*a**(-2/9))**(1/32)/(a**(-1))**(-22/5)) assuming a is positive. a**(-207239/18720) Simplify (((k**(-18)/k)/(k/(((k**(-4)/k*k)/k)/k)))/((k*k*k/k**(2/7))/(k**(-2/17)/k)))**(-30) assuming k is positive. k**(106500/119) Simplify (l**(6/5)*l*l**3)**(-9/4)*(l**(-2/7)*l**4*l)**(-2/15) assuming l is positive. l**(-863/70) Simplify (b*b**(-1/3))**49/(b/b**1*b*b/b**(-2/5))*(b**(-1/2)*b)**(8/7)/(b**(7/4)/(b/(b**(-1/2)/b))) assuming b is positive. b**(13267/420) Simplify ((((p**(-8))**(-9))**(1/21))**39)**(-2/29) assuming p is positive. p**(-1872/203) Simplify z**(-1/12)/((z*z**(6/7)/z)/z)*z**(4/25)/z**22 assuming z is positive. z**(-45739/2100) Simplify (((c*c*c/(c*(c**(-1/3)*c)/c)*c)**42/(c**5*c/(c**(1/14)*c)*c))**(-7/5))**(-5/18) assuming c is positive. c**(1877/36) Simplify (j**(-5)*j**(-1/12))**(-42)*((j/(j**(-1)*j))**1)**20 assuming j is positive. j**(467/2) Simplify ((((b*b*b/(b*((b**(1/14)*b)/b)/b*b)*b)**33)**48)**(-27))**(7/2) assuming b is positive. b**(-438372) Simplify q**(2/11)/((q*q**(1/2)*q)/q)*q/(q/(q/((q/(q*q**(-3/8)))/q)))*q**(2/19)*(q**(-4/9)*q**(-13))**(-1/11) assuming q is positive. q**(24593/15048) Simplify ((((b/(b/(b**(-6)*b*b*b)*b))/b)/b)/(b**(1/4)/b))/(b**0/b)**34*((b/(b*b**(-2/11)/b))/(b*b*b**4))**(22/7) assuming b is positive. b**(381/28) Simplify ((((l*l*l**0)**47)**23)**(-17))**(-3/23) assuming l is positive. l**4794 Simplify ((o/o**(16/5))/(o**(-8/5)/o))/(o**(-9)*o**27*o) assuming o is positive. o**(-93/5) Simplify (a/(a*a/(a/a**17)))**(1/17)/(a/a**(-24))**15 assuming a is positive. a**(-376) Simplify ((h*(h**(-4/5)/h)/h)/(h**(5/6)*h))**(-21)*(h**(-2/5)/h*h**(-1/2))**(-6/17) assuming h is positive. h**(2617/34) Simplify (c**(1/4)*c*c*c**(6/5)*(c**(-1/4)/c)**(-26))**2 assuming c is positive. c**(719/10) Simplify ((t**2/t)**(19/4)*t*t**8/t*t**(-8))/((t**(-1)*t)**(-15)*(t**(-2)*t)/(t**8*t)) assuming t is positive. t**(59/4) Simplify (t**5/(t**(4/3)*t))**(4/7
{ "pile_set_name": "DM Mathematics" }
decimal places. -14048 Round -178672.3 to the nearest one hundred thousand. -200000 What is 65203.0787 rounded to the nearest 100? 65200 Round 3433.617484 to the nearest ten. 3430 What is -0.0001417859318 rounded to 5 decimal places? -0.00014 What is -1717.326349 rounded to the nearest one hundred? -1700 What is 0.00531473731 rounded to 6 dps? 0.005315 What is -0.00116689828 rounded to 6 dps? -0.001167 Round -17310921.817 to the nearest 1000. -17311000 Round 7038.0414 to the nearest 10. 7040 What is 0.00001928563977 rounded to 7 decimal places? 0.0000193 What is -22149.4475 rounded to the nearest 10? -22150 What is 460.356568 rounded to two dps? 460.36 What is 7237079.26 rounded to the nearest 1000000? 7000000 What is -0.000008886341 rounded to six dps? -0.000009 What is -0.088480297 rounded to two decimal places? -0.09 Round -0.00002625978705 to 7 dps. -0.0000263 Round 0.00000841589096 to 6 decimal places. 0.000008 Round -0.0000194386493 to 7 decimal places. -0.0000194 Round -0.00041711301 to four decimal places. -0.0004 What is -0.008640059043 rounded to seven decimal places? -0.0086401 What is -83799574.8 rounded to the nearest one million? -84000000 What is -0.000318841121 rounded to five decimal places? -0.00032 Round 3667883.55 to the nearest one hundred. 3667900 What is -45.4656178 rounded to zero decimal places? -45 Round 118.2984799 to one dp. 118.3 Round -344.5390428 to the nearest 10. -340 What is -0.8203277998 rounded to two decimal places? -0.82 Round -0.0000574190907 to five decimal places. -0.00006 What is 14090456.9 rounded to the nearest one hundred thousand? 14100000 Round -27992265510 to the nearest 1000000. -27992000000 What is 4215.373056 rounded to 1 decimal place? 4215.4 What is -25.0608223 rounded to two decimal places? -25.06 What is 3373060.502 rounded to the nearest 100000? 3400000 What is -423965860 rounded to the nearest one hundred thousand? -424000000 What is -692973943.5 rounded to the nearest ten thousand? -692970000 Round 3.530929127 to 3 decimal places. 3.531 Round 1047.7689 to the nearest 100. 1000 Round -0.004512067463 to six dps. -0.004512 What is 0.00085588936 rounded to 4 decimal places? 0.0009 Round -1.28892748 to two decimal places. -1.29 Round -130.45528257 to one dp. -130.5 What is 18616368.29 rounded to the nearest one hundred thousand? 18600000 Round 658522.06 to the nearest 100. 658500 Round 86.041193 to two decimal places. 86.04 Round 0.581647801 to 3 dps. 0.582 Round 15532.71685 to the nearest 10000. 20000 Round 643.126177 to the nearest one hundred. 600 What is 0.019247446 rounded to three dps? 0.019 Round 0.000008918643 to 7 dps. 0.0000089 What is 0.00005376740263 rounded to 5 dps? 0.00005 What is -0.24383842346 rounded to 5 dps? -0.24384 Round 642.579136 to the nearest 10. 640 Round -11645.9326 to the nearest 1000. -12000 Round -14.2214783 to the nearest integer. -14 Round -115614306 to the nearest one thousand. -115614000 Round 0.0338461433 to 4 dps. 0.0338 Round 0.196312581 to 2 decimal places. 0.2 Round 5116.1293 to the nearest one thousand. 5000 Round -58.122928 to 1 dp. -58.1 Round 1122.7616 to the nearest 100. 1100 Round 1.09467749 to 3 dps. 1.095 What is 25286456.15 rounded to the nearest one hundred thousand? 25300000 Round -2.737390462 to 2 decimal places. -2.74 Round 2393713889 to the nearest one hundred thousand. 2393700000 What is -0.291997087 rounded to four dps? -0.292 What is 0.0000968890772 rounded to 6 dps? 0.000097 Round 23.62575696 to the nearest 10. 20 What is -108725.35 rounded to the nearest ten thousand? -110000 What is 0.0193928618 rounded to six decimal places? 0.019393 Round -205630996.1 to the nearest 10000. -205630000 What is 7.0559632 rounded to 0 decimal places? 7 What is -0.0202491211 rounded to 4 dps? -0.0202 What is 1047765.234 rounded to the nearest one thousand? 1048000 What is -5.02737952 rounded to two dps? -5.03 What is 91633379 rounded to the nearest 1000000? 92000000 Round 0.0006496723 to seven dps. 0.0006497 Round -1905.2253 to the nearest integer. -1905 What is -0.000000535107815 rounded to seven decimal places? -0.0000005 Round -0.00558889947 to seven decimal places. -0.0055889 Round -531205.41 to the nearest 1000. -531000 What is -40218112.8 rounded to the nearest ten thousand? -40220000 What is 1434.3417183 rounded to zero dps? 1434 Round 10.0092746 to the nearest integer. 10 What is 948688703 rounded to the nearest 100000? 948700000 Round 0.000003374828 to six decimal places. 0.000003 Round 3.2792772 to three decimal places. 3.279 Round -2.455782663 to four dps. -2.4558 Round 0.000278441008 to 4 dps. 0.0003 What is -5520.012366 rounded to 1 dp? -5520 Round 0.00000118786219 to seven decimal places. 0.0000012 What is 1267921.2 rounded to the nearest 10000? 1270000 What is -1921.1504384 rounded to the nearest 10? -1920 Round -870376.98 to the nearest one thousand. -870000 What is -61009126100 rounded to the nearest 1000000? -61009000000 Round 2254.69566 to the nearest 100. 2300 Round -1.85772 to 1 dp. -1.9 What is 0.01578503778 rounded to 5 decimal places? 0.01579 What is -0.001243871813 rounded to four decimal places? -0.0012 What is 2671459.277 rounded to the nearest 100000? 2700000 What is -0.0120201775 rounded to 5 decimal places? -0.01202 What is 0.000303127288 rounded to 6 dps? 0.000303 What is -815928.161 rounded to the nearest ten thousand? -820000 What is 0.000001417474956 rounded to seven dps? 0.0000014 Round 1892.357 to the nearest 1000. 2000 What is 3786.161344 rounded to one dp? 3786.2 Round 48709.87825 to the nearest 100. 48700 What is 41.377172 rounded to 2 dps? 41.38 What is 0.25412891 rounded to one decimal place? 0.3 Round 2.49362512 to 2 decimal places. 2.49 Round 239.8245452 to 2 decimal places. 239.82 What is -629220400 rounded to the nearest one million? -629000000 What is 12.9618019 rounded to the nearest integer? 13 Round 5.074853 to 2 decimal places. 5.07 What is 263.9090186 rounded to 2 decimal places? 263.91 Round 0.007063798267 to 6 decimal places. 0.007064 What is -0.051566057 rounded to 4 decimal places? -0.0516 What is 20630779706 rounded to the nearest one hundred thousand? 20630800000 What is 0.000346144 rounded to 2 dps? 0 What is -3657694688 rounded to the nearest 100000? -3657700000 Round 744876129 to the nearest 1000000. 745000000 Round 0.000139410376 to five decimal places. 0.00014 What is 0.00205680508 rounded to five decimal places? 0.00206 What is -0.000954159886 rounded to 4 decimal places? -0.001 Round -2311.7698 to zero decimal places. -2312 Round -153.74760338 to two decimal places. -153.75 What is -3304214750 rounded to the nearest one hundred thousand? -3304200000 What is 0.172389058 rounded to 2 dps? 0.17 What is 143.40311 rounded to zero decimal places? 143 Round 0.05034995654 to four decimal places. 0.0503 Round -4.7434055 to one dp. -4.7 Round -247120.245 to the nearest 100000. -200000 What is 0.0000001788881 rounded to 7 dps? 0.0000002 What is -0.0000087688806 rounded to 7 dps? -0.0000088 Round 560955325 to the nearest one hundred thousand. 561000000 What is 0.000014972976 rounded to 7 decimal places? 0.000015 Round -1241243799 to the nearest one million. -1241000000 What is 7152317.25 rounded to the nearest one thousand? 7152000 What is -0.0612914922 rounded to two dps? -0.06 What is 913425.06 rounded to the nearest one hundred thousand? 900000 Round -1234659250 to the nearest 1000000. -1235000000 What is 2.28511504 rounded to three decimal places? 2.285 What is 0.25912769 rounded to two decimal places? 0.26 Round -0.29727448968 to six dps. -0.297274 Round 0.0000101025098 to five decimal places. 0.00001 What is -4.64952011 rounded to the nearest integer? -5 Round 5740661.8 to the nearest 100000. 5700000 What is -2634.76251 rounded to the nearest one hundred? -2600 What is -0.0001365570289 rounded to five decimal places? -0.00014 Round -396.47062 to one dp. -396.5 Round 0.1345643 to four dps. 0.1346 What is 0.00117707796 rounded to three decimal places? 0.001 What is 11.5031313 rounded to the nearest integer? 12 Round -794515.219 to the nearest ten thousand. -790000 Round 126.08737299 to three dps. 126.087 What is -331755.3761 rounded to the nearest 10? -331760 Round -3636142.58 to the nearest
{ "pile_set_name": "DM Mathematics" }
(sqrt(176) + 3*sqrt(176) + -3)))**2 + (4*sqrt(176) + -5 - (sqrt(176) + -2 + 3 + sqrt(176))**2). -2160*sqrt(11) + 56539 Simplify ((-1 + sqrt(153)*-3 - (3 + sqrt(153) + sqrt(153))*3) + 0 + -1)**2*-2. -25028 - 1188*sqrt(17) Simplify ((-6*5*sqrt(468) + sqrt(468))*4)**2 - (sqrt(78)/(sqrt(36)/sqrt(6)) + -5 + (sqrt(13) + -2 - sqrt(13)) + -2). -sqrt(13) + 6297417 Simplify -5 + 0 + (-2*sqrt(200)*4)/(sqrt(44)/(sqrt(11) - (sqrt(11) + (sqrt(1584) - (sqrt(1584) + -1*sqrt(1584) + sqrt(1584))) - sqrt(11)))). -40*sqrt(2) - 5 Simplify ((sqrt(60)/sqrt(45))/sqrt(4) - (-1 + -3 + sqrt(12))) + (-1*sqrt(108))/(sqrt(9) + sqrt(99)/(sqrt(396) - sqrt(11))). -10*sqrt(3)/3 + 4 Simplify (sqrt(1440)*2)/(sqrt(15)/(sqrt(3)*-2) - sqrt(5)) + (sqrt(686)*-2)/(sqrt(7)*2*1). -23*sqrt(2) Simplify (sqrt(196)/(sqrt(28)/sqrt(4)) + (sqrt(28) - 3*sqrt(1008)))/((sqrt(36) - (sqrt(72)*-2)/sqrt(2))/(sqrt(9) + sqrt(99)/(sqrt(22)/sqrt(2)) + sqrt(9))). -16*sqrt(7) Simplify (((-1 + sqrt(3) + 2)*-2)**2 - (sqrt(72) + sqrt(72) + 1*sqrt(72) + sqrt(72) + sqrt(72))/sqrt(6)) + -2 + 0. -2*sqrt(3) + 14 Simplify (3 + 4 + sqrt(1872)*3 + (sqrt(130)*1*-6)/((sqrt(90)*-1)/sqrt(9)))**2. 588*sqrt(13) + 22981 Simplify (1 + (-5 + sqrt(1900)*-1 + sqrt(1900) - (-4 + 0 + sqrt(1900))) + (-3 + 1 + sqrt(171) - 5*-1*sqrt(304)))**2. -52*sqrt(19) + 3215 Simplify -4*(sqrt(85) - (sqrt(85) - (sqrt(85)*-3 - sqrt(85)))*-5 - 4*(sqrt(85) + 1*sqrt(85)))/((sqrt(180)/sqrt(3))/sqrt(12) + 1*sqrt(80)). -72*sqrt(17)/5 Simplify (sqrt(171)/sqrt(3)*1 + 4*sqrt(5700))/((sqrt(33) - (sqrt(396)*-2)/sqrt(12))/((sqrt(99)*1)/sqrt(9) - sqrt(11) - sqrt(11))). -41*sqrt(19)/3 Simplify 2*(-5 + 3 + 2*(sqrt(468) + sqrt(468)*2*-6) + 4 + (0 + sqrt(468))*-6)**2. -1344*sqrt(13) + 733832 Simplify (0 + ((-1 + sqrt(1331)*-2*-6)*-1 - (0 + sqrt(1331)*3 + -2 + 3*sqrt(1331))))**2. -1188*sqrt(11) + 431253 Simplify ((sqrt(833)*1*-2 - sqrt(833) - (sqrt(833) + 4 + sqrt(833) + -1)) + 2)**2 - 6*4*(sqrt(1700) + 1)*-5. 1270*sqrt(17) + 20946 Simplify 5*((4 + sqrt(6)/(sqrt(27)*3))**2 - ((5*(sqrt(4) + sqrt(100)) + sqrt(4))/sqrt(128))**2). -181525/2592 + 40*sqrt(2)/9 Simplify -5 + (-4*(0 + sqrt(21)/sqrt(3)) - (-1*sqrt(448) - sqrt(28)/sqrt(4)*-2)). -5 + 2*sqrt(7) Simplify 1 + 2 + -1*(sqrt(180) + 2) - ((sqrt(500) - sqrt(500)*2*3) + 5)**2*5. -62624 + 2494*sqrt(5) Simplify (-4 + (sqrt(931) - (-3 + (sqrt(931) - (sqrt(931) + -3) - sqrt(931)) + sqrt(931)))*-4 - (sqrt(931)*5 + -5 + 5 + 4))**2. 1008*sqrt(19) + 75475 Simplify ((-2 + (2*sqrt(147) + -2 - sqrt(147)))*2 + (sqrt(147) + (sqrt(147) + 1 - sqrt(147)) + 5 + 3*((sqrt(147) - (sqrt(147) + 1)) + sqrt(147)))*-1)**2. 308*sqrt(3) + 709 Simplify (-1*(sqrt(1216) + 2*sqrt(1216) + 0 + sqrt(1216) + sqrt(1216)) - ((1*sqrt(190) - sqrt(190))*-2)/(sqrt(1440) + sqrt(1440)*2 + sqrt(1440)))**2. 30400 Simplify 2*(6*-6*(1 + sqrt(7)))**2 + (1*sqrt(84)*-1)/sqrt(12)*1. 5183*sqrt(7) + 20736 Simplify (-4*sqrt(170)/sqrt(5)*3*-3)/((sqrt(2) + -5*sqrt(18) - (-1*sqrt(14) - sqrt(14))/sqrt(7))*-1). 3*sqrt(17) Simplify (sqrt(176) + -4 - (sqrt(132)/sqrt(3))/sqrt(4) - -3*1*(0 + sqrt(44) + sqrt(44) - sqrt(44)))**2*-5. -4535 + 360*sqrt(11) Simplify -5*((sqrt(972) + (sqrt(972)*1*5 - sqrt(972)) + sqrt(972) + -1 + sqrt(675) + 2)**2 + 5). -226965 - 1230*sqrt(3) Simplify (2 + ((sqrt(117)/(5*sqrt(9)) - (sqrt(13) - (sqrt(13) - sqrt(91)/(sqrt(49)/sqrt(7))))) + -4)*2)**2*4. 384*sqrt(13)/5 + 6928/25 Simplify (2 + (2*sqrt(245) - sqrt(245)))**2*3 + 5 - (1 + (-1*(sqrt(245) + 0 - sqrt(245)))**2 + 2). 84*sqrt(5) + 749 Simplify (((-6*(sqrt(204) - (sqrt(204) + sqrt(204)*2)) - sqrt(204) - sqrt(204))*6)/(-1*sqrt(192)*5)*-5)**2*6. 22950 Simplify (6*-1*sqrt(448) - (((sqrt(7) - sqrt(35)/sqrt(5))*-5)**2 - (sqrt(84)/sqrt(2))/sqrt(6)))*-1. 47*sqrt(7) Simplify 6*(sqrt(7) - (sqrt(7) + sqrt(21)/sqrt(3) + -3)) + -5*(sqrt(28)/sqrt(4)*-2 + sqrt(7)) + -2 + 4*(2*sqrt(175) + 1)**2. 79*sqrt(7) + 2820 Simplify 1 + ((0 + -1 + sqrt(76) - (sqrt(1539) - -5*sqrt(1539)*-1)) + 2)**2. 76*sqrt(19) + 27438 Simplify (1 + ((sqrt(68) - (-2*1*sqrt(68) - sqrt(68))) + sqrt(68) + 2*sqrt(68)*2)/((4*sqrt(1764) - sqrt(1764))/sqrt(9)))*-6. -18*sqrt(17)/7 - 6 Simplify 2 + (((sqrt(153) + 5*sqrt(153)*-1 - sqrt(153) - sqrt(153))/sqrt(3))/(6*sqrt(192)*-2)*-2)**2. 145/64 Simplify (-2*(-6*2*(-1*sqrt(1008) - sqrt(1008)))**2*-5 + -2)*2. 11612156 Simplify (4*((sqrt(88) + (sqrt(88) - (sqrt(88) + (sqrt(88)*1 - sqrt(88)))))*4 + sqrt(88))*-6)/(sqrt(8)*-2*-2*-3*-6). -5*sqrt(11)/3 Simplify (sqrt(588)*2 + sqrt(12) + sqrt(384)/sqrt(8))/(sqrt(32)/(sqrt(80)/(sqrt(10) - -1*sqrt(10)))*3). 17*sqrt(3)/6 Simplify (-4 + -2*sqrt(539)*2)**2 + (2 + sqrt(77)/(3*sqrt(112)))**2. 673*sqrt(11)/3 + 1244747/144 Simplify (((sqrt(117) - 2*((-3*sqrt(117) - sqrt(117)) + sqrt(117))) + (-3*sqrt(117)*-4 - sqrt(117)))/(5*(-2*sqrt(900) + 2*sqrt(576))))**2. 1053/100 Simplify ((sqrt(68) - sqrt(68)*-1) + -2 + (sqrt(68) - sqrt(68)*-2) + -1 + (-4 + (-1 + sqrt(68) - sqrt(68)) + 5)*4)**2. -60*sqrt(17) + 1709 Simplify (2 + ((5 + (sqrt(684) + -1 - sqrt(684)))*2 + (sqrt(684) - 4*sqrt(684)*-2 - sqrt(684) - 1*sqrt(684)*2) + -5)*-2)**2. 576*sqrt(19) + 98512 Simplify ((-3*(sqrt(88) + sqrt(88)*-1) - sqrt(88)*1*-5)/((sqrt(72) + -1*(-5*sqrt(72) + sqrt(72)) - sqrt(72)) + sqrt(72)))**2. 11/9 Simplify (sqrt(22) + -1*sqrt(88) + sqrt(22) + sqrt(264)/(sqrt(72)/sqrt(6)))/((3*(sqrt(96) - sqrt(6)))/(sqrt(12) - sqrt(108))). -4*sqrt(11)/9 Simplify 1*((sqrt(176) - sqrt(176)*-2) + sqrt(44) + sqrt(44) + sqrt(132)/sqrt(3)) - ((sqrt(1331) + 4*sqrt(1331) + 4 + sqrt(1331))**2 + -4). -47928 - 510*sqrt(11) Simplify 3 + (sqrt(40)/sqrt(8) + -1 + -2*-2*sqrt(5))**2 + 2 + (2*sqrt(720) + (sqrt(5) - (3 + (sqrt(5) - 1*sqrt(5)) + sqrt(5))))**2. -154*sqrt(5) + 3020 Simplify -1 + -1*(-1 + 6*(-5 + (sqrt(500) + -6*sqrt(500)*-2 - -3*(sqrt(500) + 1))))**2. -4608170 + 24960*sqrt(5) Simplify (4*(-1 + sqrt(7)) + sqrt(7) - -4*sqrt(21)/sqrt(3))**2 - -5*((-1 + sqrt(7) + 3)*-1)**2. -52*sqrt(7) + 638 Simplify -4*((-2*(-1 + sqrt(48))*4)**2 + (sqrt(18)*-4)/sqrt(6) + 2 + (sqrt(48))**2). -12744 + 2064*sqrt(3) Simplify 1*(sqrt(448) + 1 + 1 + (sqrt(448) - (sqrt(448) + 1 + sqrt(448)))*-5 - (5 + (-5*(sqrt(7) + 1) - 3*sqrt(7)*-1)**2)). -51 + 28*sqrt(7) Simplify ((sqrt(833) + (sqrt(833) - 2*sqrt(833)) + -5 + -3 + sqrt(833) + 0 + -1 + 4)*-5 + 1)**2*-2. -43002 + 3640*sqrt(17) Simplify (2*(sqrt(140)*-2 + 3*-1*sqrt(35)))/(-5*sqrt(720) + (sqrt(220)/sqrt(4))/sqrt(11)). 14*sqrt(7)/59 Simplify (-5 + (sqrt(396)/(sqrt(12) + (sqrt(12) - sqrt(36)/sqrt(3)*-1)))/(sqrt(176)*5 + sqrt(11) + sqrt(66)/(sqrt(24)/sqrt(4))))**2. -5*sqrt(3)/33 + 36301/1452 Simplify (2*-4*((sqrt(68) - sqrt(68)*-1)*-5 + sqrt(68)))/(1*sqrt(1024)*-1 + sqrt(1024) + sqrt(1024)). 9*sqrt(17)/2 Simplify (-2*-2*sqrt(143) + -1*sqrt(143)*3)/(-2*sqrt(22)/sqrt(2) - (sqrt(275) + sqrt(275)*1))*2. -sqrt(13)/6 Simplify (3 + (3 + -5*((sqrt(1088)*-5*5 - sqrt(1088)) + sqrt(1088) + sqrt(1088)*3*1))*6)**2. 221760*sqrt(17) + 473933241 Simplify (1*2*(sqrt(171) - sqrt(171)*-2)*-1)/((sqrt(1089)*-1 - (sqrt(72)*1 + sqrt(72))/sqrt(8))*4). 3*sqrt(19)/26 Simplify ((sqrt(84) - (sqrt(84) - 2*sqrt(84)*2) - sqrt(84)) + sqrt(84))/sqrt(12) + -3 + (4*-1*sqrt(7) - ((sqrt(112)/sqrt(4))/sqrt(4))**2)*3 + -5. -29 - 8*sqrt(7) Simplify (-2 + 4*((sqrt(1900) + 1)*-1*2 - 1*(sqrt(1900) + -2*sqrt(1900) + -4)))**2. -480*sqrt(19) + 30436 Simplify (-4*(-3 + -1*sqrt(2299))*-1*-6)**2 + 2. 38016*sqrt(19) + 1329410 Simplify 1 + ((2*sqrt(500) + sqrt(500))*-5)**2 + ((sqrt(110)/sqrt(2))/sqrt(11))**2 + 3 + 3 + 4. 112516 Simplify 3*sqrt(1539)*5 + sqrt(1539) + -3 + 4 - (-2 + -1*sqrt(684) - sqrt(684) - -1*(sqrt(2736) + 0))**2. -3 + 144*sqrt(19) Simplify -4 + (5*((-2*sqrt(300) + sqrt(300) - sqrt(300))*-6 - (sqrt(300) - (sqrt(300) + -2)*4)))**2 + 4. -60000*sqrt(3) + 1689100 Simplify (2*-2*2*sqrt(204))/((sqrt(135) + (sqrt(135)*1 + sqrt(135))*-2)/sqrt(5)). 16*sqrt(17)/9 Simplify ((-1*sqrt(418)*-1)/(sqrt(1100) - (sqrt(1100) + 2*sqrt(1100))))/(((sqrt(54)*1)/sqrt(9))/(3*(sqrt(3) - (sqrt(12)/sqrt(4) + sqrt(3))))). 3*sqrt(19)/20 Simplify (((sqrt(396) - sqrt(396)*1)*-5)/((sqrt(588) - sqrt(588)*2) + sqrt(588) - sqrt(588)))/((sqrt(96)*-5)/(sqrt(162) + sqrt(18))). 0 Simplify -5*(5 + 4*(4 + (-6*(2 + sqrt(1539)))**2*-5 + -5)). 129600*sqrt(19) + 5554795 Simplify ((sqrt(12) + sqrt(768)*-2 + -4*sqrt(972))/((sqrt(726) - (sqrt(726) - -4*(sqrt(726) - ((
{ "pile_set_name": "DM Mathematics" }
k + 2763 What is the f'th term of -45329, -45480, -45615, -45728, -45813? f**3 + 2*f**2 - 164*f - 45168 What is the b'th term of 8094434, 16188869, 24283304, 32377739, 40472174? 8094435*b - 1 What is the p'th term of -6932, -7274, -7618, -7964, -8312, -8662? -p**2 - 339*p - 6592 What is the y'th term of -216630051, -216630050, -216630049, -216630048, -216630047? y - 216630052 What is the k'th term of 34348, 68774, 103304, 137938? 52*k**2 + 34270*k + 26 What is the f'th term of 297266, 594567, 891868, 1189169, 1486470? 297301*f - 35 What is the z'th term of 6116467, 12232955, 18349443? 6116488*z - 21 What is the q'th term of -1206, -1028, -888, -804, -794, -876? -3*q**3 - q**2 + 202*q - 1404 What is the l'th term of -8930, -35798, -80606, -143378, -224138, -322910, -439718, -574586? -4*l**3 - 8946*l**2 - 2*l + 22 What is the g'th term of 74, 670, 2384, 5816, 11566? 100*g**3 - 41*g**2 + 19*g - 4 What is the u'th term of -16793, -33618, -50477, -67376, -84321, -101318? -u**3 - 11*u**2 - 16785*u + 4 What is the h'th term of -6008264, -12016526, -18024788, -24033050, -30041312? -6008262*h - 2 What is the r'th term of 1692, 6965, 15858, 28461, 44864, 65157, 89430, 117773? 15*r**3 + 1720*r**2 + 8*r - 51 What is the h'th term of 76493, 153191, 229889, 306587? 76698*h - 205 What is the g'th term of -56709070, -113418163, -170127256, -226836349? -56709093*g + 23 What is the o'th term of 47339686, 47339685, 47339684, 47339683, 47339682? -o + 47339687 What is the b'th term of 163663565, 327327133, 490990701, 654654269, 818317837? 163663568*b - 3 What is the g'th term of 154182, 154187, 154194, 154203? g**2 + 2*g + 154179 What is the p'th term of -154750, -154917, -155364, -156229, -157650, -159765, -162712? -23*p**3 - 2*p**2 - 154725 What is the k'th term of 3245, 26387, 89211, 211559, 413273, 714195? 3307*k**3 - k**2 - 4*k - 57 What is the b'th term of -1306043, -5224227, -11754547, -20897003? -1306068*b**2 + 20*b + 5 What is the p'th term of 3339, 7260, 11181, 15102? 3921*p - 582 What is the w'th term of -8238154, -8238158, -8238162, -8238166? -4*w - 8238150 What is the y'th term of 629, 1194, 1743, 2276? -8*y**2 + 589*y + 48 What is the k'th term of -13266, -13769, -14272, -14775, -15278? -503*k - 12763 What is the y'th term of 35796, 71435, 106916, 142239, 177404, 212411, 247260? -79*y**2 + 35876*y - 1 What is the m'th term of -7642, -7317, -6992? 325*m - 7967 What is the o'th term of 4882, 10445, 16046, 21691, 27386, 33137, 38950, 44831? o**3 + 13*o**2 + 5517*o - 649 What is the m'th term of 8288096, 16576197, 24864300, 33152405, 41440512? m**2 + 8288098*m - 3 What is the u'th term of -14511, -112928, -380051, -900234, -1757831, -3037196, -4822683? -14059*u**3 + u**2 - 7*u - 446 What is the d'th term of -330284, -330500, -330716? -216*d - 330068 What is the l'th term of -11785, -29934, -60183, -102532, -156981? -6050*l**2 + l - 5736 What is the g'th term of 44637142, 89274280, 133911414, 178548544? -2*g**2 + 44637144*g What is the i'th term of 2391, 4971, 7495, 9963, 12375, 14731, 17031? -28*i**2 + 2664*i - 245 What is the c'th term of 5540, 7471, 9402, 11333? 1931*c + 3609 What is the h'th term of 1273623, 5094533, 11462715, 20378169, 31840895, 45850893, 62408163? 1273636*h**2 + 2*h - 15 What is the h'th term of 32910642, 32910640, 32910638? -2*h + 32910644 What is the w'th term of -10863, -10106, -9279, -8346, -7271, -6018? 6*w**3 - w**2 + 718*w - 11586 What is the n'th term of -339052, -1356720, -3052834, -5427394, -8480400, -12211852? -339223*n**2 + n + 170 What is the o'th term of -67902, -68201, -68500, -68799, -69098, -69397? -299*o - 67603 What is the l'th term of -56098050, -56098056, -56098060, -56098062, -56098062, -56098060? l**2 - 9*l - 56098042 What is the i'th term of 196002, 784006, 1764006, 3135996, 4899970, 7055922? -i**3 + 196004*i**2 - i What is the w'th term of 2713928, 2713933, 2713940, 2713949, 2713960? w**2 + 2*w + 2713925 What is the p'th term of -6878, -55091, -185960, -440813, -860978, -1487783, -2362556? -6888*p**3 + 3*p + 7 What is the u'th term of -893863, -894644, -895425, -896206, -896987, -897768? -781*u - 893082 What is the t'th term of 411369, 1645582, 3702603, 6582432, 10285069, 14810514? 411404*t**2 + t - 36 What is the n'th term of 298418, 1192952, 2683842, 4771088? 298178*n**2 + 240 What is the x'th term of -90078, -180647, -271230, -361833, -452462, -543123, -633822, -724565? -x**3 - x**2 - 90559*x + 483 What is the a'th term of -1052483, -2104987, -3157489, -4209989, -5262487, -6314983, -7367477? a**2 - 1052507*a + 23 What is the f'th term of -20162692, -40325385, -60488078, -80650771, -100813464, -120976157? -20162693*f + 1 What is the n'th term of -194204, -202869, -211520, -220151, -228756, -237329? n**3 + n**2 - 8675*n - 185531 What is the m'th term of -14207, -28191, -42175, -56159, -70143, -84127? -13984*m - 223 What is the h'th term of 172081, 344090, 516099, 688108, 860117? 172009*h + 72 What is the q'th term of 11579, 23273, 35089, 47027? 61*q**2 + 11511*q + 7 What is the x'th term of -7484409, -7484399, -7484383, -7484361, -7484333, -7484299? 3*x**2 + x - 7484413 What is the d'th term of 68, 413, 1358, 3215, 6296, 10913? 52*d**3 - 12*d**2 + 17*d + 11 What is the n'th term of -8126, -65519, -221442, -525161, -1025942? -8211*n**3 + n**2 + 81*n + 3 What is the l'th term of -107861, -107783, -107705, -107627? 78*l - 107939 What is the c'th term of -42277, -42158, -42039, -41920, -41801? 119*c - 42396 What is the j'th term of -19319, -77783, -175223, -311639, -487031? -19488*j**2 + 169 What is the t'th term of -35429807, -70859637, -106289467, -141719297, -177149127, -212578957? -35429830*t + 23 What is the d'th term of -47043, -94538, -142035, -189534? -d**2 - 47492*d + 450 What is the c'th term of 247438862, 494877726, 742316590? 247438864*c - 2 What is the n'th term of -1041325, -1041349, -1041389, -1041445, -1041517, -1041605, -1041709? -8*n**2 - 1041317 What is the f'th term of 42174228, 42174207, 42174184, 42174165, 42174156, 42174163, 42174192? f**3 - 7*f**2 - 7*f + 42174241 What is the v'th term of 40, 285, 470, 565, 540, 365, 10? -5*v**3 + 280*v - 235 What is the d'th term of -1257509, -1257521, -1257531, -1257539, -1257545, -1257549? d**2 - 15*d - 1257495 What is the r'th term of -576, -1006, -1318, -1512, -1588, -1546, -1386? 59*r**2 - 607*r - 28 What is the l'th term of 4427741, 4427774, 4427807? 33*l + 4427708 What is the c'th term of -543864092, -1087728181, -1631592270? -543864089*c - 3 What is the q'th term of -4251, -17667, -40021, -71313, -111543, -160711, -218817? -4469*q**2 - 9*q + 227 What is the p'th term of 47108, 187123, 420480, 747179, 1167220, 1680603, 2287328? 46671*p**2 + 2*p + 435 What is the g'th term of -1217430, -1217453, -1217512, -1217625, -1217810, -1218085? -3*g**3 - 2*g - 1217425 What is the i'th term of -22216, -44404, -66570, -88714? 11*i**2 - 22221*i - 6 What is the h'th term of 46728853, 46728852, 46728851? -h + 46728854 What is the u'th term of -164667671, -164667669, -164667667, -164667665, -164667663, -164667661? 2*u - 164667673 What is the n'th term of -5484813, -5484786, -5484759? 27*n - 5484840 What is the k'th term of -14179, -27932, -41685? -13753*k - 426 What is the v'th term of -3002, -6573, -11058, -16913, -24594? -76*v**3 - v**2 - 3036*v + 111 What is the g'th term of 19988234, 39976470, 59964706, 79952942, 99941178? 19988236*g - 2 What is the x'th term of 113594, 227199, 340804? 113605*x - 11 What is the g'th term of 21753, 77269, 169795, 299331? 18505*g**2 + g + 3247 What is the z'th term of 15803, 126262, 425949, 1009436, 1971295, 3406098? 15762*z**3 + 42*z**2 - z What is the f'th term of -3034160, -3034199, -3034308, -3034523, -3034880, -3035415, -3036164? -6*f**3 + f**2 - 3034155 What is the d'th term of 13540, 21158, 28776? 7618*d + 5922 What is the l'th term of 422, 1920, 4622, 8696, 14310, 21632, 30830? 28*l**3 + 434*l**2 - 40 What is the z'th term of -11159413, -11159411, -11159409? 2*z - 11159415 What is the d'th term of -87754, -176269, -264784, -353299? -88515*d + 761 What is the b'th term of 13312947, 26625906, 39938865, 53251824, 66564783? 13312959*b - 12 What is the t'th term of 9648, 21574, 33500, 45426, 57352, 69278? 11926*t - 2278
{ "pile_set_name": "DM Mathematics" }
be (-26)/(-6) + 3/(-9). Let d(o) = l*o - 5*o + 3*o. Give d(f). -4 Let l(p) be the second derivative of p**5/20 + p**4/12 - p**3/3 - 3*p**2/2 + 17*p. Give l(-2). -3 Let q(w) = 2 + 2*w**2 - 3*w**2 - w**2. Suppose 4*m - 2*m = -4. Determine q(m). -6 Suppose 3*y + h = -2*y + 14, -3*y = -h - 2. Let b(p) = 4*p + 2. Let i(t) = 8*t + 3. Let m(c) = -5*b(c) + 3*i(c). Give m(y). 7 Let y(o) be the second derivative of o**3/3 - o**2/2 + 4*o. Calculate y(-2). -5 Let d(p) = -5. Let z(m) = -1. Let o = -13 - -7. Let y(n) = o*z(n) + d(n). Let t(s) = s**3 - 3*s**2 - 3*s - 6. Let h(i) = t(i) + 4*y(i). Determine h(4). 2 Let v(o) = o - 10. Let y(z) = -5*z + 51. Let k(f) = 11*v(f) + 2*y(f). Give k(5). -3 Let f(w) = 4*w + 5. Let g(h) = -h - 1. Let d = -6 + 3. Let b(m) = d*g(m) - f(m). What is b(6)? -8 Suppose 2*b - 4*b - 6 = 4*g, 0 = 4*b - 4*g. Let l(w) = 6*w - 7*w - 1 + w + 2*w**2 - 16*w**3. Give l(b). 17 Let q(n) be the first derivative of n**4/4 + 4*n**3/3 - n**2 + 2*n - 51. What is q(-5)? -13 Let z be 8/(-8)*(0 + 0). Let i(h) = z*h**2 - 3 - 2*h - h**2 - 4*h + 2*h**2. What is i(5)? -8 Let b(k) = -k + 7. Suppose 1 = q - 4. Calculate b(q). 2 Let r(t) = t**3 - 2*t**2 - 2*t + 2. Let y be 5*(-3)/((-60)/8). Determine r(y). -2 Suppose 0 = 5*x - 4*p - 80, 3*x = -x + 2*p + 64. Suppose 5*c - 19 = -5*s + x, 2*s = -5*c + 26. Let k(r) = -2 + 3 - 2 - 2 - c*r. Determine k(-2). 5 Let w(o) = -o + 1. Let b(q) = 0*q - 4*q**2 + 5*q**2 - 1 + q. Let a be b(2). What is w(a)? -4 Let m(t) = -t**2 - t + 5. Let p(y) = y + 7. Let x be p(-7). Suppose -5*a + x*a = 0. What is m(a)? 5 Let c(x) = -x - 2. Suppose -6*y + 5*y = 6. Calculate c(y). 4 Let u(d) = 5 + d**2 - 5 + 4 + 4*d. What is u(-4)? 4 Let w(m) = 5*m**2 + 6*m - 11. Let n(a) = -11*a**2 - 12*a + 23. Let y(r) = -4*n(r) - 9*w(r). Determine y(-7). 0 Let d(g) = 5*g. Let b(c) = 11*c + 1. Let n(u) = -2*b(u) + 5*d(u). Give n(-3). -11 Let k(v) be the third derivative of v**6/120 + v**5/10 - v**4/24 - 4*v**3/3 + 3*v**2 + 6. Calculate k(-6). -2 Let r(i) = -i**2 - 6*i - 1. Let v(t) = t**2 - t - 3. Let l be v(4). Let c = -14 + l. What is r(c)? 4 Let p(b) = b + 5. Let n be p(-8). Let y(v) = -2*v + 3. What is y(n)? 9 Let p(x) = 2*x - 12. Let r be p(10). Suppose r = 2*h - 2. Let b(w) = -w - w - w**3 + 6*w**2 - 1 - 3*w. Calculate b(h). -1 Let o(d) = -d**2 + 5*d - 7. Let y = 5 - 2. Let i = y - -1. Let r be i/(-14) - (-148)/28. Determine o(r). -7 Let l(k) = k - 1. Let c be (-15)/(-6)*48/20. Give l(c). 5 Let w(k) = -2*k + 14. Let c be w(6). Let v(q) = -2 + q**c - 2*q + 0 + 0*q + q. Let n(m) = m**3 + 6*m**2 + 5*m - 3. Let b be n(-5). Calculate v(b). 10 Let n = -5 + 1. Let h be (2/4)/(n/(-32)). Let j(d) = 4*d**3 - 5*d - 2*d**3 - d**3 + h*d**2 - d**2 - 2. What is j(-4)? 2 Let g = -4 - -4. Let x(r) = 6*r - 1 + g + 0. Calculate x(-1). -7 Let k(a) = -2*a**2 + 3*a - 2*a**2 + 2*a**2 - 59 + 61. What is k(3)? -7 Let b(c) = 3*c - 1 + 5*c - 18*c + 5*c. Give b(1). -6 Let q(t) = t**3 + 8*t**2 + 3*t + 9. Let u be q(-8). Let k be 16/(-3) + (-5)/u. Let b(a) = a**3 + 5*a**2 - a - 1. Give b(k). 4 Let n(b) = b**2 + 8*b + 2. Let i(m) = -2*m**2 - 16*m - 5. Let c(g) = 3*i(g) + 5*n(g). Determine c(-5). 10 Let a(u) = 7*u**3 - 14*u**3 - 3 + 5 + 6*u**3 + u**2. Calculate a(2). -2 Let u(x) = 5 - 5 + 3 + 1 + x. What is u(3)? 7 Let g = -3 - -8. Suppose -4*x = -2*h - 14, -g*x + h + 2 = -11. Let a be 2/(-4)*12/x. Let p(f) = 2*f + 3. Determine p(a). -3 Let k = 95 + -98. Let h(m) = m**3 + 2*m**2 - m - 2. Give h(k). -8 Let z(m) = 4*m - 1 - 2 + m - 2*m. Suppose 0 = -0*y - 3*y - 9. Calculate z(y). -12 Let a = 0 - -3. Let f = -2 + a. Let i(u) = 9*u - 1. Determine i(f). 8 Let o = -13 - -7. Let s be 4/o*-6 + -1. Let z(j) = -j**2 + 3. What is z(s)? -6 Let m(o) = -6*o**2 + 2*o + 8. Let d(c) = -5*c**2 + 2*c + 7. Let f(q) = q + 13. Let y be f(-7). Let k(l) = y*m(l) - 7*d(l). Determine k(2). -9 Let k be -1 + 0 + 2 + 0. Suppose 4*d - 1 = 3. Let z = d + k. Let f(w) = 2*w**2 - 2*w + 1. Calculate f(z). 5 Let u(p) = p**2 - 3*p - 4. Let q be u(-2). Let x(i) = -i**2 + 4*i + 8. What is x(q)? -4 Let z(o) = o**3 - 4*o**2 + 2*o + 4. Suppose 9*n = 6*n + 12. Give z(n). 12 Let j(m) be the first derivative of -2*m**3/3 + m**2/2 + 2*m - 1. What is j(3)? -13 Let h(g) = 0*g + 6*g**2 + 2*g - 5 + 4 - 2*g**2. Give h(-2). 11 Let q(g) = -1. Let s(p) = -p + 3. Let h(o) = 5*q(o) + s(o). Let f = -9 - -23. Let i = -10 + f. Determine h(i). -6 Suppose -2*d - 9 = -7. Let t(a) = -12*a + 4. Let z(r) = 8*r - 3. Let i(w) = 5*t(w) + 7*z(w). Calculate i(d). 3 Let v be 6*(-14)/(-105)*-5. Let y(k) = -k**3 - k + 1. Let g(c) = 5*c**3 - 5*c**2 + 2*c - 10. Let r(i) = -g(i) - 6*y(i). Determine r(v). 4 Let k(w) be the second derivative of -2/3*w**3 + 1/12*w**4 + 0 - 2*w**2 + 2*w. Calculate k(6). 8 Let t(m) = -m**3 + 5*m**2 + 8*m - 7. Let h be t(6). Let q(s) = 12 + 0*s**2 - 12 + 6*s - s**2. What is q(h)? 5 Let f(o) be the first derivative of -3*o**2 - o**3 - 1/12*o**4 + 3 + o. Let c(d) be the first derivative of f(d). Calculate c(-5). -1 Let g(m) = m + 1. Let b(k) = 31*k**2 - 11*k**2 - 19*k**2 + 12 + 5 + 9*k. Let f be b(-7). Calculate g(f). 4 Let w(b) be the second derivative of -b**6/120 + b**5/60 + 5*b**4/24 - b**3/2 - b**2/2 + b. Let z(m) be the first derivative of w(m). Give z(3). -6 Let u(p) = -p + 8*p**2 - 14 - p**3 - 2*p**2 + 0*p**3 + 12. Give u(3). 22 Let b(o) = -2*o + 2 + 0 - 8. Let j be 9/4*16/(-6). What is b(j)? 6 Let k(a) = a + 7. Suppose 0 = 3*x + 3 - 0. Let i = x + 6. Let z be i/4*(1 + -5). Give k(z). 2 Let w(x) = -3*x + x**3 - 2 + 5*x + 1 - 4*x**2. Suppose 0*v + 5*v + 12 = 4*y, -y + 3 = -v. Calculate w(y). -4 Let x = -1 + 5. Let i(g) = g**2 - 2*g - 4. What is i(x)? 4 Let q(c) = -32 + 51 - c**2 - 22 + 3*c. What is q(3)? -3 Let w(i) be the first derivative of 1/4*i**4 + 1 + 0*i + 2*i**3 + 3*i**2. Calculate w(-5). -5 Let h(p) = -p. Suppose -11*n + 24 = -15*n. What is h(n)? 6 Let a be 3/9 - 38/6. Let i = a - -2. Let k(s) be the first derivative of -s**3/3 - 3*s**2 - 6*s - 1. Calculate k(i). 2 Let f(r) = -5*r**3 + 52*r**2 + 4*r**3 + 8*r - 58*r**2. Suppose 2*c - 21 = 5*c. What is f(c)? -7 Let g(w) = -3*w**3 - w**2 - 3*w + 7. Let y(m) = 2*m**3 + m**2 + 3*m - 6. Let r(c) = 3*g(c) + 4*y(c). What is r(2)? -1 Let k(i) = -i + 20. Let u be k(14). Let t(o) = -2*o**2 - 5*o - 5*o**2 + 2*o**2 - o - u - o**3. Determine t(-4). 2 Let s(m) = -1 + 4*m + m**3 - 7*m**2 - 2 - 6*m + 7*m. Calculate s(6). -9 Suppose 0 = y + y - 18. Suppose 0 = -5*z + 4*i + 1 - 4, z + y = -2*i. Let w(x) = x**3 + 3*x**2 + x - 2. What is w(z)? -5 Let b(n) = n**3 - 5*n**2 + 4*n + 4. Let f be b(4). Let y(i) = -f*i**2 - i**2 - 6*i + 7*i**2 - i**2 + 5. Give y(6). 5 Let c(o) = 14*o**3 - 20*o**2 + 3*o + 20. Let p(g) = 5*g**3 - 7*g**2 + g + 7. Let s(l) = 6*c(l) - 17*p(l). Determine s(-2). 3 Let c(d) = d**3 + 3*d**2 - 6*d - 3. Let a(y) = -y**2. Let u be a(2). Let o be c(u). Let l(m) = -2 + o + 6*m - 3*m. What is l(-2)? -3 Let c(o) = 6*o + 1. Let w be ((-8)/24)/((-3)/(-18)). Determine c(w). -11 Let x(d) be the first derivative of 1/2*d**2 - d + 2. What is x(-3)? -4 Let p(j) be the first derivative of -j**2 - 4 - 2*j + 1/6*j**3. Let c(l) be the first derivative of p(l). Give c(-6). -8 Let h(a) = -a**2 - 2*a + 4. Let u be h(0). Let l(g) = u*g - 2*g - 3*g + 12. Calculate l(0). 12 Let l(f) be the first derivative of -f**2/2 + 5*f + 19. Calculate l(5). 0 Let c(l) = l**2 - 3*l - 4. Let p(u) be the second derivative of u**4/12 + 5*u**3/3 + 4*u**2 + u. Let h be p(-8). Let a = -4 - h. What is c(a)? 0 Let h be -2 + -1 + -10 + 18. Let u(p) = -p**3 + p**2 - p - 1. Let k(c) = -7*c**3 + 11*c**2 - 5*c - 6. Let y(n) = -k(n) + 6*u(n). Calculate y(h). -5 Let g = -72 - -71. Let f(q) = 4*q**2 - q. What is f(g)? 5 Let m(q) = -q - 6. Suppose 2*v = 4*u - 52, -u - 15 = -2*u + v. Let k = u + -8. Let t be (1 - 1)*k/(-6). Calculate m(t). -6 Let h be 2*(3/(-9) - 5/30). Let y(k) = 7*k**3 + k**2 + k. Determine y(h). -7 Let c(j) be the first derivative of -j**2 - 4*j - 8. Determine c(6). -16 Let f(b) = -b**3 - 4*b**2 - 5*b - 3. Let g be f(-3). Let n(s) = -3 + g - 7 + s**3. Let d be 2/3 + ((-78)/(-18) - 5). Calculate n(d). -7 Let i = -9 - -1. Let v(k) = 2*k + 8. Give v(i). -8 Let q(b) = 0 - 3*b + 0 + 2. Give q(3). -7 Suppose -17 = -y + 2*j, -3*y = -3*j + 27 - 69. Let h = y - 6. Let o(t) = -t - 1. Let v(x) = x**2 -
{ "pile_set_name": "DM Mathematics" }
rom bggbbbc. 0 What is prob of picking 2 c, 1 x, and 1 y when four letters picked without replacement from {p: 2, c: 6, y: 3, x: 1}? 1/11 Three letters picked without replacement from qeneqeqeeeeeqeqeqee. What is prob of picking 1 n and 2 q? 5/323 Three letters picked without replacement from {z: 3, o: 6, d: 2, q: 1}. What is prob of picking 1 z, 1 o, and 1 d? 9/55 Four letters picked without replacement from kmkkaakaaa. What is prob of picking 3 k and 1 m? 2/105 Four letters picked without replacement from ruwrdxp. What is prob of picking 1 w, 1 u, and 2 r? 1/35 What is prob of picking 1 x, 1 j, and 1 t when three letters picked without replacement from jjtwxzjpjtpz? 2/55 Calculate prob of picking 2 p when two letters picked without replacement from {z: 3, e: 3, l: 3, o: 3, u: 1, p: 5}. 10/153 What is prob of picking 1 g, 1 y, and 1 m when three letters picked without replacement from tbktbkgymbk? 1/165 Calculate prob of picking 1 g and 1 l when two letters picked without replacement from {g: 2, l: 4}. 8/15 Two letters picked without replacement from yyyyyyzz. Give prob of picking 2 z. 1/28 Three letters picked without replacement from {a: 3, q: 1, n: 12}. Give prob of picking 2 a and 1 n. 9/140 What is prob of picking 2 w and 1 p when three letters picked without replacement from pwgwwwgpgggwwwg? 6/65 Three letters picked without replacement from blllhbhh. Give prob of picking 2 b and 1 h. 3/56 What is prob of picking 1 m and 1 h when two letters picked without replacement from {x: 1, i: 3, h: 2, m: 1}? 2/21 Three letters picked without replacement from {y: 2, l: 1, k: 2, g: 1, c: 2, s: 1}. What is prob of picking 2 k and 1 s? 1/84 Calculate prob of picking 1 n and 1 y when two letters picked without replacement from {n: 13, y: 3}. 13/40 Two letters picked without replacement from ebqyyqppplq. Give prob of picking 1 e and 1 q. 3/55 Four letters picked without replacement from sshhsshhhhhs. Give prob of picking 4 h. 7/99 Two letters picked without replacement from {c: 4, g: 6, j: 4, k: 3}. What is prob of picking 2 c? 3/68 Calculate prob of picking 1 s and 1 v when two letters picked without replacement from vvs. 2/3 What is prob of picking 1 e and 1 c when two letters picked without replacement from {y: 1, d: 7, c: 1, e: 3}? 1/22 Three letters picked without replacement from {t: 5, a: 1, r: 2, k: 1, j: 1}. Give prob of picking 1 k, 1 r, and 1 a. 1/60 Two letters picked without replacement from {k: 1, e: 3, b: 4, y: 1, h: 6}. What is prob of picking 1 e and 1 h? 6/35 Two letters picked without replacement from uxxxxuuluux. What is prob of picking 1 u and 1 x? 5/11 Calculate prob of picking 2 n when two letters picked without replacement from ennneeeneeenn. 5/26 What is prob of picking 2 o when two letters picked without replacement from {o: 7, y: 5}? 7/22 Four letters picked without replacement from prhzrryyyhpkh. What is prob of picking 1 p, 1 y, 1 h, and 1 k? 18/715 What is prob of picking 1 m and 1 o when two letters picked without replacement from {o: 8, m: 2, p: 3, x: 2}? 16/105 Two letters picked without replacement from {t: 1, q: 2, e: 1}. What is prob of picking 1 q and 1 t? 1/3 What is prob of picking 1 t and 1 n when two letters picked without replacement from tcnuctt? 1/7 Four letters picked without replacement from {a: 12, j: 3, w: 3}. What is prob of picking 3 a and 1 w? 11/51 Calculate prob of picking 1 s, 1 w, and 1 z when three letters picked without replacement from {p: 3, s: 1, z: 2, w: 1}. 2/35 Three letters picked without replacement from ggilkkggiikkgkgglgg. What is prob of picking 1 k and 2 l? 5/969 Three letters picked without replacement from {j: 3, t: 9}. What is prob of picking 2 t and 1 j? 27/55 Calculate prob of picking 1 k and 1 i when two letters picked without replacement from {i: 4, k: 4, r: 8, v: 2, g: 1, o: 1}. 8/95 Three letters picked without replacement from tti. Give prob of picking 3 t. 0 Calculate prob of picking 1 f and 1 c when two letters picked without replacement from {f: 2, o: 7, y: 1, c: 3, z: 1}. 6/91 Three letters picked without replacement from ziwjzcoj. Give prob of picking 1 c, 1 w, and 1 o. 1/56 Three letters picked without replacement from {t: 1, u: 18}. What is prob of picking 1 t and 2 u? 3/19 What is prob of picking 1 l and 1 i when two letters picked without replacement from {n: 1, l: 1, f: 1, i: 1, t: 1}? 1/10 Four letters picked without replacement from knmmqnmmmrmmnrmtkm. Give prob of picking 1 m, 2 n, and 1 r. 3/170 What is prob of picking 3 g when three letters picked without replacement from ueg? 0 What is prob of picking 2 o when two letters picked without replacement from {d: 1, o: 2}? 1/3 Calculate prob of picking 1 z and 3 r when four letters picked without replacement from srrrrrrrrzr. 14/55 What is prob of picking 1 u and 2 q when three letters picked without replacement from quhwwfq? 1/35 Two letters picked without replacement from {a: 7, y: 2, v: 2, k: 1}. Give prob of picking 2 v. 1/66 What is prob of picking 2 f when two letters picked without replacement from fhvfhhhvffhh? 1/11 Four letters picked without replacement from {i: 5, s: 7, h: 2, b: 3}. What is prob of picking 1 i, 2 h, and 1 b? 3/476 What is prob of picking 2 t and 2 o when four letters picked without replacement from votoovvoogot? 1/33 What is prob of picking 2 k and 1 w when three letters picked without replacement from {j: 1, w: 10, b: 1, l: 3, h: 1, k: 3}? 10/323 Three letters picked without replacement from {r: 4, v: 1, y: 2, h: 10}. Give prob of picking 1 y, 1 h, and 1 r. 2/17 Two letters picked without replacement from fbimbbmfbbfmffi. What is prob of picking 2 m? 1/35 What is prob of picking 3 x and 1 f when four letters picked without replacement from fffxfxffxf? 1/30 What is prob of picking 2 c when two letters picked without replacement from {j: 4, y: 3, a: 3, z: 4, e: 4, c: 2}? 1/190 Three letters picked without replacement from {f: 1, a: 5, v: 1, r: 3}. Give prob of picking 1 a, 1 v, and 1 f. 1/24 Calculate prob of picking 2 y when two letters picked without replacement from {y: 2, i: 1, b: 1}. 1/6 What is prob of picking 3 q when three letters picked without replacement from rqqqqr? 1/5 Three letters picked without replacement from eobooetoboqoeobe. Give prob of picking 1 o and 2 e. 3/40 Two letters picked without replacement from fmjxjmwwmfmwfxnwmm. What is prob of picking 1 j and 1 x? 4/153 Three letters picked without replacement from {y: 4, q: 2}. What is prob of picking 3 y? 1/5 Calculate prob of picking 2 g when two letters picked without replacement from lengglggegng. 5/22 Calculate prob of picking 1 d and 1 a when two letters picked without replacement from {m: 1, q: 4, a: 1, d: 2, e: 1}. 1/18 Four letters picked without replacement from {q: 2, v: 2, t: 1, g: 1, w: 8}. What is prob of picking 2 q, 1 w, and 1 g? 8/1001 Three letters picked without replacement from {v: 1, t: 6, s: 8}. What is prob of picking 3 t? 4/91 What is prob of picking 2 g and 1 w when three letters picked without replacement from {g: 4, w: 3}? 18/35 Three letters picked without replacement from sbbyyczczkbbccc. What is prob of picking 1 c and 2 y? 1/91 Three letters picked without replacement from {u: 1, q: 2, j: 6, l: 4}. Give prob of picking 2 q and 1 j. 3/143 Two letters picked without replacement from qqqqq. What is prob of picking 2 q? 1 Calculate prob of picking 2 p when two letters picked without replacement from {q: 2, p: 18}. 153/190 Three letters picked without replacement from {w: 1, z: 1, t: 1, m: 1, d: 1}. What is prob of picking 1 t, 1 d, and 1 w? 1/10 What is prob of picking 3 w and 1 s when four letters picked without replacement from {w: 6, s: 13}? 65/969 Two letters picked without replacement from {g: 1, v: 6, i: 4, h: 3}. Give prob of picking 1 v and 1 h. 18/91 Three letters picked without replacement from nojonjnonnjvnnjnnv. What is prob of picking 3 o? 1/816 Calculate prob of picking 3 h when three letters picked without replacement from {r: 1, q: 3, h: 3}. 1/35 Calculate prob of picking 1 i and 2 s when three letters picked without replacement from {i: 4, w: 4, m: 1, s: 3, u: 4}. 3/140 Two letters picked without replacement from {v: 3, j: 3, e: 1, t: 3}. Give prob of picking 2 v. 1/15 Ca
{ "pile_set_name": "DM Mathematics" }
d 453058? 718 What is the highest common factor of 1598984 and 568? 8 What is the greatest common divisor of 13 and 53884883? 13 What is the greatest common factor of 96 and 14704192? 32 What is the greatest common divisor of 133 and 7363279? 133 What is the greatest common factor of 13669217 and 12952? 1619 Calculate the highest common factor of 2043 and 204453. 9 What is the highest common divisor of 30 and 10554890? 10 Calculate the highest common divisor of 176 and 8481344. 16 What is the greatest common divisor of 9822 and 538437129? 4911 Calculate the greatest common factor of 10489694 and 262. 262 Calculate the greatest common factor of 5790086 and 3749. 163 What is the highest common divisor of 53238730 and 5848? 1462 Calculate the highest common factor of 6032 and 1319916. 52 Calculate the highest common factor of 71906826 and 12. 6 Calculate the greatest common factor of 590868 and 46467. 27 Calculate the greatest common divisor of 1487484 and 93636. 324 Calculate the greatest common factor of 40717430 and 182. 26 What is the highest common divisor of 26144 and 1971808? 1376 Calculate the highest common factor of 1843777728 and 13. 13 What is the highest common factor of 4762195 and 95? 5 Calculate the greatest common factor of 192170 and 80. 10 Calculate the greatest common factor of 41300 and 35636. 236 Calculate the greatest common divisor of 19590 and 78225. 15 What is the greatest common divisor of 18 and 6104421? 9 What is the greatest common divisor of 117 and 11916242? 13 What is the highest common divisor of 112410818 and 2938? 2938 What is the greatest common divisor of 3488940 and 2010? 30 Calculate the greatest common divisor of 14478 and 319278. 762 Calculate the highest common divisor of 5207 and 1493774. 127 Calculate the greatest common factor of 439979 and 8251. 223 What is the highest common divisor of 8679519 and 15408? 963 Calculate the greatest common divisor of 30869568 and 1476. 36 What is the highest common factor of 40 and 208812920? 40 What is the highest common factor of 306 and 14489984? 34 What is the greatest common factor of 3363520 and 33304? 184 What is the highest common factor of 5510 and 564110? 190 What is the greatest common divisor of 1178 and 5577241? 589 What is the highest common factor of 1324692 and 45756? 1116 What is the highest common divisor of 60911322 and 2091? 123 What is the greatest common divisor of 2572911 and 297? 297 What is the greatest common divisor of 20604 and 189088059? 5151 What is the highest common divisor of 9150 and 9358071? 183 Calculate the greatest common divisor of 1693704 and 2328. 24 What is the highest common divisor of 14576 and 361667? 911 Calculate the highest common factor of 3501 and 6658124. 389 Calculate the greatest common divisor of 160 and 49140640. 160 Calculate the highest common divisor of 202 and 9311998. 202 Calculate the highest common factor of 2004 and 450835204. 668 What is the highest common factor of 61341368 and 184? 184 What is the highest common divisor of 38745314 and 184313? 1237 Calculate the greatest common factor of 100538472 and 148. 148 Calculate the highest common divisor of 217704704 and 1024. 256 What is the greatest common factor of 1290 and 782256? 258 What is the highest common divisor of 26465 and 983629? 79 Calculate the highest common divisor of 408892094 and 26. 26 Calculate the highest common divisor of 20119648 and 12932. 212 What is the greatest common divisor of 1350 and 5778? 54 Calculate the greatest common divisor of 1076692 and 1178. 1178 What is the greatest common divisor of 1892 and 33? 11 Calculate the highest common divisor of 141 and 48904675. 47 Calculate the highest common divisor of 23030 and 32477. 47 Calculate the greatest common divisor of 8528925 and 195. 15 Calculate the greatest common factor of 6098294 and 26. 2 What is the highest common factor of 198 and 14548545? 99 What is the greatest common divisor of 9945 and 156037815? 765 What is the highest common factor of 2738286 and 15120? 54 What is the greatest common factor of 109888 and 4726? 34 What is the highest common factor of 2409 and 141108? 33 What is the highest common divisor of 305518 and 1550426? 346 What is the greatest common divisor of 48 and 32582624? 16 Calculate the highest common divisor of 571933 and 9. 1 Calculate the highest common divisor of 962 and 195598. 26 Calculate the greatest common divisor of 149533945 and 220. 55 Calculate the greatest common factor of 886501 and 33292. 203 What is the greatest common divisor of 5940 and 83792940? 660 Calculate the highest common divisor of 7740 and 1906620. 2580 What is the greatest common divisor of 408 and 8102952? 24 Calculate the greatest common factor of 576 and 1450216. 8 Calculate the highest common divisor of 35782668 and 1353. 123 What is the greatest common divisor of 60 and 282832260? 60 Calculate the greatest common factor of 57936 and 1789981. 1207 Calculate the greatest common factor of 42021694 and 31759. 4537 Calculate the highest common divisor of 179278 and 3752716. 638 Calculate the greatest common factor of 1776866910 and 3590. 3590 Calculate the greatest common divisor of 8372 and 120302. 182 What is the highest common factor of 3633 and 588? 21 What is the greatest common divisor of 91 and 9408308? 91 Calculate the greatest common divisor of 1401150 and 19725. 75 What is the greatest common factor of 831240 and 64080? 360 Calculate the greatest common divisor of 5892 and 28986676. 1964 What is the highest common divisor of 5478 and 437877? 33 Calculate the highest common divisor of 4687699628 and 4204. 4204 What is the highest common divisor of 364 and 2105404? 28 Calculate the highest common divisor of 57975262 and 6306. 2102 Calculate the greatest common factor of 25569068 and 4060. 812 Calculate the greatest common factor of 62415 and 5870295. 3285 What is the highest common divisor of 3109190 and 6790? 70 Calculate the greatest common divisor of 10607472 and 2736. 2736 Calculate the greatest common divisor of 20091 and 1180482. 543 What is the highest common factor of 305 and 14048666? 61 Calculate the greatest common factor of 51493 and 190723. 221 Calculate the highest common divisor of 704612 and 196. 4 Calculate the highest common divisor of 1350002 and 49396. 466 What is the highest common factor of 781776 and 53802? 1098 What is the highest common factor of 2512 and 39617694? 314 What is the greatest common factor of 705834 and 5022? 162 Calculate the highest common factor of 1629264 and 25116. 1092 What is the highest common factor of 90459985 and 770? 385 Calculate the highest common divisor of 1414720 and 30. 10 Calculate the highest common divisor of 8290 and 316010. 10 Calculate the highest common divisor of 2356 and 77939520. 76 Calculate the greatest common divisor of 88919713 and 11919. 3973 Calculate the greatest common factor of 1891588 and 703. 37 Calculate the greatest common divisor of 13060818 and 54. 54 Calculate the greatest common factor of 10263 and 3485999. 3421 Calculate the highest common factor of 43494650 and 70. 10 What is the greatest common divisor of 2584 and 9335346? 646 What is the highest common factor of 656285 and 2198? 7 Calculate the greatest common factor of 21684822 and 12. 6 Calculate the highest common divisor of 30 and 40977030. 30 What is the highest common factor of 261 and 5843935? 29 Calculate the greatest common divisor of 10 and 355617830. 10 Calculate the greatest common divisor of 15874418 and 28. 14 What is the highest common divisor of 5930 and 2560? 10 What is the highest common factor of 1941 and 36269526? 1941 Calculate the highest common factor of 144136124 and 3036. 1012 Calculate the greatest common factor of 2889095 and 517. 11 Calculate the greatest common divisor of 50 and 1061245500. 50 What is the highest common factor of 225 and 51600? 75 What is the highest common factor of 24893765 and 3485? 205 What is the greatest common divisor of 35787356 and 1012? 1012 Calculate the greatest common divisor of 13309460 and 80. 20 What is the highest common factor of 525703 and 15742999? 4013 Calculate the highest common factor of 786097 and 11492. 221 What is the highest common factor of 33846 a
{ "pile_set_name": "DM Mathematics" }
w**(3/2) Simplify (((q/(q/(q*q*q/q**(-9))*q*q)*q*q)/(q*q**(3/4)))**(9/7))**26 assuming q is positive. q**(4797/14) Simplify (((n/(n*n/(n*n**(1/2))))/n)/n**(-29))/(n**(31/4)*n/((n*n**(1/24))/n)) assuming n is positive. n**(475/24) Simplify (y/((y*y/(y**(-2/15)*y))/y)*y*y/(y*((y/(y*y**(-16)*y*y))/y*y)/y*y))/(y**(-1/7)*y*y*y**(1/8)) assuming y is positive. y**(-11857/840) Simplify (((m**(-3/4))**(-48))**(2/19))**(1/40) assuming m is positive. m**(9/95) Simplify (((r**(-2)/r)/r)**(-2/3))**13 assuming r is positive. r**(104/3) Simplify (k*k/((k/(k/k**12))/k))/(k**(-12)/k)*k**(1/6)/(k/(k/k**(-10))) assuming k is positive. k**(85/6) Simplify (((m/(m*m*m**13/m))/m)/m**3)/(((m**(-7/4)/m*m)/m)/(m/((m*(m/m**(-17))/m)/m))) assuming m is positive. m**(-121/4) Simplify (x**(2/7))**(-42)*x**(-5/4)/(x**2*x) assuming x is positive. x**(-65/4) Simplify ((i/i**(-10/9))/i**0)/((i/i**4)/i*i*i/i**(-4/15)) assuming i is positive. i**(173/45) Simplify ((((q**2*q)/q)/(q**0/q*q))/(q**(2/3)/q)**(-33))**(1/74) assuming q is positive. q**(-9/74) Simplify (i*i**(3/8)*i**(-2/5))/(i/(((i/(i/(i**5*i)))/i*i)/i))**(-9) assuming i is positive. i**(-1401/40) Simplify ((c/(c**(-9/2)*c))/c)**(3/14)*(c**(-21)/c)**(1/8) assuming c is positive. c**(-2) Simplify (o/(o*o**(-5)))/(o*o**(2/13)*o)*o**(3/7)*o*o**(-5/2) assuming o is positive. o**(323/182) Simplify (j*(j**(-1/5)*j)/j*j*j)**(-3/19)/((j/(j*j**(-3/2)*j)*j)/j**(3/4)) assuming j is positive. j**(-453/380) Simplify (s*s**(2/9))**(9/2)*(s*s**(-25))/s**(-3/11) assuming s is positive. s**(-401/22) Simplify (m**(-1/3)/((m**(3/8)/m*m)/m)*((m*m/(m**2*m)*m)/m)**5)**(-13) assuming m is positive. m**(1469/24) Simplify (i*i/(i/(i/i**(-9))))**(-11)*i**3*i**(-1/18)/i*i assuming i is positive. i**(-2125/18) Simplify u**(1/15)*u*u/u**(-1/25)*(u*u/u**(-3)*u)**(-3/5) assuming u is positive. u**(-112/75) Simplify l*l/(((l*l**(5/2))/l)/l)*l/(l**(-19)/l)*l**(-1/11)*l/(l*l*l**6*l*l*l)*l assuming l is positive. l**(273/22) Simplify (s**(4/5)/(s/s**(-3/10)))/(s**(3/7)*(s**(6/5)*s)/s) assuming s is positive. s**(-149/70) Simplify (k*k*k*k**(13/3))/k**(3/16)*(k*k**6*k)**(-9/11) assuming k is positive. k**(317/528) Simplify (v*v/(v/(v/(v*v/v**35))))/(((v/v**(-8))/v*v)/v)*(v*v**33)**(-5/2) assuming v is positive. v**(-58) Simplify (j**1/(j/(j*j*j**(-3/7)*j)))/(j*j**(1/3))**(-9) assuming j is positive. j**(102/7) Simplify (t*t**(3/11))/(t*t**17)*(t**15)**(-6) assuming t is positive. t**(-1174/11) Simplify (k/k**(-20))/(k**(-7/6)/k)*((k/(k*k**(-3/5)))/k*k)/((k**(-1/3)*k)/k*k) assuming k is positive. k**(231/10) Simplify r**(3/11)*r*r/(r*r*r/(r**(-7/4)*r)*r)*r**4/(r**(5/6)*r) assuming r is positive. r**(-41/132) Simplify ((w**(-1/5)*w*w**(2/5))/(w/(w/(w*w/(w/(w/(w**1/w)))*w))*w)**42)**(-2/29) assuming w is positive. w**(1668/145) Simplify (n**14*n*n*n)**38*(n*n**(-6/11))/n**(-23) assuming n is positive. n**(7364/11) Simplify (w*w*w*(w*((w*w*(w**15*w)/w)/w)/w)/w*w**(2/17)*w)/(((w/(w*w**(-2/11)/w*w*w*w)*w)/w)/(w*w/(w**(-1/5)*w*w*w))) assuming w is positive. w**(18827/935) Simplify w/(w/w**(-6/5))*w**(-18)*w*(w**(-5))**(-33) assuming w is positive. w**(734/5) Simplify ((z/(z**(-28)/z))/z*z*z)/z*z/((z*z*(z*z*z**(-7))/z*z)/z)*((z*z**(-1/9))/z*z*z)/(z/z**(2/7)*z) assuming z is positive. z**(2216/63) Simplify (d**(-3))**(6/7)/(d**(3/11)*(d*d**(3/5))/d) assuming d is positive. d**(-1326/385) Simplify (k*k**19*k*k**10)/(k/((k*k*(k*k*k**22*k*k)/k*k)/k)*(k**(-3)/k)/k) assuming k is positive. k**62 Simplify (g/g**(2/7))**(-34)*(g*g**7)/(g*g**6) assuming g is positive. g**(-163/7) Simplify (((y*y**11)/(((y/(y/(y/(y**(9/2)*y))))/y)/y))/(y/(y**(-6)/y*y)*y*y*y**(-5)))**41 assuming y is positive. y**(1189/2) Simplify p**(-2/13)*(p/((p**(2/17)*p)/p))/p*p**13/p*p*p**(13/4) assuming p is positive. p**(14125/884) Simplify (i**5*i**(2/15))/(i/i**(-2))**6 assuming i is positive. i**(-193/15) Simplify d/(d*((d**(2/35)*d)/d)/d)*d**(-4/5)*d**(-2/13)/(d*d**(5/4)) assuming d is positive. d**(-823/364) Simplify (g**14/g)/g*g*g**0*g**(3/5)*g/(g**5/g) assuming g is positive. g**(53/5) Simplify (a/((((a**(1/44)/a)/a)/a)/a))/a*a**(3/29)*(a**21*a)/a*a**(-20/7) assuming a is positive. a**(198501/8932) Simplify (c**(14/3)*c*c**(-12/13))**(14/3) assuming c is positive. c**(2590/117) Simplify ((p**7/p)/p**(-15))/(p*p*p*p**(-10)*p**5) assuming p is positive. p**23 Simplify (y**10/(y*y**(-2/5)/y))/(y**(2/9)*y**(5/4)) assuming y is positive. y**(1607/180) Simplify ((n/n**(2/9)*n*n/n**(-1/14))**(-34))**(-44) assuming n is positive. n**(268532/63) Simplify ((n*n**(-1/4))/(n*n/n**7)*n**(-8)/n*n**(1/8))**(3/5) assuming n is positive. n**(-15/8) Simplify ((o*o/(o**(-26)*o)*o)/o*o)/o**(1/8)*o**(3/16)/o**25 assuming o is positive. o**(49/16) Simplify ((x/x**3)/x**(10/3))/(x/(x/x**3*x))**43 assuming x is positive. x**(-274/3) Simplify (d**(-2/21)*d)**19/(d/d**(-3/8))**(-6/35) assuming d is positive. d**(7319/420) Simplify (u*u/u**(-17)*((u*u*(u/(u/(u*u**1*u)*u))/u)/u)/u)**18 assuming u is positive. u**360 Simplify ((f/(f**0/f))**(-18)/(f/(f**(1/3)*f))**42)**(1/4) assuming f is positive. f**(-11/2) Simplify ((i/(i*i**(2/49)))/i)/(i/(i/((i**(-26)*i*i)/i)))*i**(-5/9)*i/(i*i*i**(4/9)*i*i*i*i)*i assuming i is positive. i**(929/49) Simplify s**(-2/19)*s*(s*s**13)/s*s*s**(-6)*s/s**(-29/2) assuming s is positive. s**(927/38) Simplify ((p/(p*p**(2/7)))/p*p**(1/25))**(-2/21) assuming p is positive. p**(436/3675) Simplify (z**(-6/11))**(33/2)*z**(-2/73)*z**(-26) assuming z is positive. z**(-2557/73) Simplify (((s*(s/s**11)/s)/s**11)**(-23))**(-39) assuming s is positive. s**(-18837) Simplify (k/k**3)**46*(k**(-3)*k)**9 assuming k is positive. k**(-110) Simplify ((o*o**(1/2))/o**1)/(((o/o**(-2/13))/o)/o)**(-42) assuming o is positive. o**(-911/26) Simplify (m/(m**(-10)/m))/(m*m**(-2/17)*m)*(m*m*m/((((m**(-12/7)/m)/m)/m)/m))/(m*m*m/m**6*m*m) assuming m is positive. m**(2360/119) Simplify w**(-3/26)*w*w**(11/7)*(w/((w*w*w*(w*w/(w/((w**(-3/13)/w)/w)))/w*w)/w))/(w**(-1/7)/w) assuming w is positive. w**(697/182) Simplify (h**2)**(13/2)/((h*h/h**(-13))/(h**(3/23)*h)) assuming h is positive. h**(-20/23) Simplify h/((h*h/h**13)/h)*h/(h/h**(4/7))*(h**(-3))**(4/13) assuming h is positive. h**(1151/91) Simplify (((h**(4/13)/h)/h*h)/h*h*(h*h**1)/h)/(h**12)**(-16) assuming h is positive. h**(2500/13) Simplify z**(2/7)*z**(2/3)*(z*z**6/z)**46 assuming z is positive. z**(5816/21) Simplify ((z/(z/z**(3/13)))**29)**(-3/8) assuming z is positive. z**(-261/104) Simplify (((x*x/((x/x**1)/x))/x)**(-24)/(x**(-9)*(x*x**(-7))/x))**21 assuming x is positive. x**(-672) Simplify f**(-5)/f**(-17)*(f*f**(-2))/(f**(-2/67)*f) assuming f is positive. f**(672/67) Simplify ((g**(-3)/g*(g*g**5*g)/g)**(2/31))**(-1/6) assuming g is positive. g**(-2/93) Simplify ((((u**6/u)/u)/u*u**(-2/7))/(u**0/(u**2/u)))**(-19) assuming u is positive. u**(-494/7) Simplify ((n*n**0*n)**(-34)*(n*(n*n*n*n/(n*n**3)*n)/n)/(n**(1/7)/n))**(-2/5) assuming n is positive. n**(926/35) Simplify (w**(-16)*w)**(-14/3)/(w/(w*w*w*w**(-31)*w)*w*(w/w**(-16/7))/w) assuming w is positive. w**(271/7) Simplify (((c/c**(2/5))/c)**(-1/20)/((c*c/(c*((c/(c**3*c))/c)/c*c))/c*c**3))**(-5/6) assuming c is positive. c**(349/60) Simplify ((((n*n/((n*n*n**(-1)*n)/n))/n)/n)**24*(n**0)**(-3/10))**(-3/2) assuming n is positive. n**36 Simplify u*u**(-1/2)*u*u**1*(u**(1/6))**(2/41) assuming u is positive. u**(617/246) Simplify ((z/(z/(z/z**(-5/3)))*z)/(z*(z**4/z)/z)*(z**(-2/9))**(2/27))**(-16/3) assuming z is positive. z**(-2528/729) Simplify (a/(a/(a/(a/(a**10*a)))))**22*a*a*(a**(-16/5)*a*a)/a*(a/(a**32*a)*a)/a assuming a is positive. a**(1049/5) Simplify b/(b*b/(b/(b**(-2/5)/b)))*b/b**(1/4)*b/((b*b**(5/3))/b*b)*b**(2/17)/b assuming b is positive. b**(-407/1020) Simplify (a*a/(a**25/a)*a)/a**(-19)*a*a/(a*a**21*a*a)*a**6 assuming a is positive. a**(-18) Simplify (w**(3/4)/(w**(3/4)/w))/(w**(-19)/w**(-2/21)) assuming w is positive. w**(418/21) Simplify (((w*w*w**1*w*w*w)**(10/17))**(-1/16))**(35/4) assuming w is positive. w**(-525/272) Simplify (s**21/s)**(-34)/(s**17*s/(s*s**(-15/4))) assuming s is positive. s**(-2803/4) Simplify ((x**(-8/3)/((x*x**(-13))/x))/(x/x**(-2/13)*x*x)**(8/13))**(-7/2) assuming x is positive. x**(-29785/1014) Simplify ((h/(h/h**6))/h*h*h*h)**(-41)*h**(-4/13)/h*(h/(h*h*h*h/(h/(
{ "pile_set_name": "DM Mathematics" }
6*p**3 - 1 to m*p**3 + c*p**2 + n + r*p and give m. -848 Rearrange (-2 + q + 2)*(-4 - 3 - 2)*(-5 - q**3 + 5) + (-5*q - q + 3*q)*(-q**3 + 3 - 3) to the form n*q**3 + t*q**2 + j + r*q**4 + k*q and give r. 12 Express (-8*t**3 + 3*t**3 + 0*t**3)*(89 + 0*t - 87 + 7*t) as o*t**3 + y*t**4 + m + h*t + d*t**2 and give y. -35 Express (4*u**2 + u**2 + 2*u**2)*(43*u**2 - 18*u**2 + 62*u**2) as j*u**4 + g + t*u**2 + k*u**3 + m*u and give j. 609 Express 5887*i**2 - 3 - 5876*i**2 + 4 as k*i**2 + z + t*i and give k. 11 Rearrange 381*q**2 + 204*q**2 - 3 - 61*q**2 + 2 + 714*q**2 to l*q**2 + i*q + j and give l. 1238 Rearrange 13*o**3 + 8*o + 23*o**3 + 20*o**3 - 99*o**3 + 12*o**3 to the form i*o**3 + k*o + u*o**2 + z and give k. 8 Rearrange -176*s**3 - 1 + 176*s**3 + 2*s**4 + 47*s**2 + s to g*s**4 + k + z*s**3 + y*s + a*s**2 and give y. 1 Express (3 + 4 - 2 + 0 - 2 - 4 + (13 - 21 - 14)*(3 - 1 - 3))*(-4*a + 3*a + 3*a) as r + q*a and give q. 42 Express -128*x + 95*x + 255*x + 218*x + 9*x in the form y + v*x and give y. 0 Express -v**4 + 73*v**3 + 67*v**3 - 142*v**3 + 7 - 8*v**2 as t*v**3 + h + u*v**2 + o*v + b*v**4 and give u. -8 Express (0*y**3 - y**3 + 7*y**3)*((6 - 3 - 1)*(-119 - 189 + 83) + 1 - 1 - 1) in the form a*y**3 + f + z*y + w*y**2 and give a. -2706 Rearrange -380*w - 1179*w + 296*w - 920*w to n*w + q and give n. -2183 Express (-845 - 1064 + 218)*(2*d**4 + 2*d - 2*d) as w + y*d**4 + v*d**2 + o*d**3 + s*d and give y. -3382 Express -1338*c + 2*c**4 + 1345*c + c**2 - 36 - 26 in the form k*c**4 + d + h*c**3 + l*c + u*c**2 and give l. 7 Rearrange 28*f + 5*f**2 - 28*f + (11*f**2 + 2*f**2 + 27*f**2)*(-1 + 2 - 3) - f**2 - f**2 + f**2 to the form p + l*f + s*f**2 and give s. -76 Express -f**3 + 47*f - 93*f + 48*f - 4 in the form a*f**2 + i*f**3 + p + m*f and give m. 2 Rearrange -97*c**3 + 0 + 0 + 39*c**2 - 89*c**3 + 184*c**3 to the form q + i*c + v*c**3 + j*c**2 and give i. 0 Express 29 - 18 + 8*d**3 - 10 - 15*d**2 as t*d + c + z*d**3 + n*d**2 and give c. 1 Rearrange 21*z - 972 + 47*z**3 - 22*z + 971 to o + n*z + i*z**2 + d*z**3 and give d. 47 Rearrange (-2 - 3*t + 2 + (1 + 0 + 1)*(3*t + 4*t - 3*t) + 4*t - 2 - 5*t + 2*t)*(1 + 3 - 2) to the form s*t + l and give s. 12 Rearrange -62*h**2 + 238*h**2 - 6*h + 6*h to n*h + s + d*h**2 and give d. 176 Express (-22 + 44 + 41)*(2*f**2 - 1 + 1) + f**2 + f**2 + 5*f**2 in the form j*f**2 + w*f + g and give j. 133 Express 43*b**2 + b - 17*b**2 - 52*b - 2*b**2 - 26*b**2 as k*b + c*b**2 + x and give k. -51 Rearrange -12*c + 7 - 11 + 4 + 619*c to the form a*c + g and give g. 0 Express 730*f**3 - 48*f**2 - 728*f**3 + 9 - 14 as p*f**2 + o*f**3 + j*f + i and give p. -48 Express -34*d**2 - 60*d**2 - 53*d**2 in the form z + r*d + t*d**2 and give t. -147 Express -1847 + 3757 - 1853 + z + 2*z**2 in the form v*z**2 + g + r*z and give v. 2 Rearrange 2 - 59*o + 6 + 1 + 1 + 2*o**2 - 14 to b*o + n*o**2 + u and give u. -4 Express (-21 - z + 12 + 11)*(1 + 2*z - 1)*(-9*z + 1 - 7 + 7) in the form i + v*z**3 + n*z + a*z**2 and give n. 4 Express 2*m**2 + 4*m**2 - 4*m**2 - 2*m**2 - 4*m**2 + 0*m**2 + (-1 + 1 - 2*m)*(-7*m + 13*m + m) + m**2 + 4*m**2 - 6*m**2 as j*m + p*m**2 + o and give p. -19 Rearrange 254*t**4 - 609*t**4 - 117*t**4 - 400*t**4 + (0*t + 0*t - 2*t**4)*(-5 - 1 + 4) to v*t**2 + o + c*t**3 + l*t + p*t**4 and give p. -868 Express (0 - 2 + 0 + (0 + 1 + 1)*(-2 + 3 + 0) + 19 - 9 - 12)*(8*r + 10 - 10) as u*r + z and give u. -16 Rearrange 15*i**2 + 25*i**2 + 16*i**2 - 43*i**2 + 19*i to the form w + g*i + t*i**2 and give g. 19 Rearrange (-2 - 6 + 4)*(24*o**2 - 31*o + 31*o)*(3 - 2 + 2) to the form u*o**2 + m*o + k and give m. 0 Rearrange -64*s - 66*s + 137*s - 27 + 5 to the form a + h*s and give a. -22 Rearrange 43*b + 49*b - 90*b + 1 - 4*b**3 to c*b**3 + p + w*b**2 + n*b and give c. -4 Express 770*a**4 + a**2 - 2*a - 2*a**3 - 1541*a**4 + 772*a**4 in the form i*a + s*a**4 + m + y*a**3 + v*a**2 and give v. 1 Express 2*x - 2*x - 2*x**2 + (0*x - 3*x + x)*(5*x - 2*x - 2*x) + 3*x**2 - 3*x**2 + x**2 + 17 - 110*x**2 - 4 - 12 as t*x + a + c*x**2 and give a. 1 Rearrange 9*y + 666*y**2 - 2 - 665*y**2 + 3 + (-4*y - 2*y + y)*(4*y - 2*y - 4*y) to n*y + g + c*y**2 and give c. 11 Express (l + l + 3*l)*(-42 - 17 + 15)*(0 + 4 - 1) as n*l + u and give n. -660 Rearrange -2 - 74*m + 142*m - 73*m to the form u + j*m and give u. -2 Express -1197 + 247*k**2 + 1197 in the form p + j*k + r*k**2 and give r. 247 Rearrange -692*s**2 + 654*s**2 + 349*s**2 to i*s + j*s**2 + u and give j. 311 Express 4*z**2 - z**3 - 162*z + 345*z - z**2 - 166*z - 7*z**2 as x*z + w*z**2 + r + h*z**3 and give x. 17 Express 2459*z**2 + z + 61 + 3*z**3 - 2459*z**2 + 77 in the form x*z + y*z**3 + p + l*z**2 and give p. 138 Rearrange (-2*t**2 + 4*t**2 + 1 + 1)*((1 - 1 - 2)*(3 - 16 - 4) - 1 - 2 + 1) to the form j*t + m + u*t**2 and give u. 64 Express -33*g - 33*g - 123*g as p*g + v and give p. -189 Rearrange (4 - 4 - 1 + 0 + 4)*(-11*d**2 - 4*d**2 + 0*d**2) to v + f*d + t*d**2 and give t. -45 Express -95018 + 95018 + 210*i as l + v*i and give v. 210 Rearrange 5*b**2 + b**2 - 4*b**2 - b**2 + b**2 - b**2 + (-3 - 2*b + 3)*(-4*b + 10 - 10) - b**2 + 0*b**2 + 2*b**2 to the form x*b**2 + t + k*b and give x. 10 Express -29*q - 87*q + 225*q + 169*q in the form s + j*q and give j. 278 Express -117 + 60 + 2*b**3 + 62 + 2*b**4 + 8*b**2 in the form q*b**3 + y + o*b**2 + w*b + r*b**4 and give o. 8 Rearrange 142*s - 51*s - 23*s + 224*s to d*s + x and give d. 292 Rearrange -8*f - 2*f + 13*f - 154 - 5*f to n*f + l and give n. -2 Express (1 + 4 + 0)*(-16*f**4 - 4*f**4 - 27*f**4) as o*f**2 + q*f**3 + v + y*f**4 + l*f and give y. -235 Express (1 + 3 - 3)*(-857749 + 816*l**3 + 857749) + 1 - 2*l**3 - 1 as q*l**2 + u*l**3 + n*l + p and give u. 814 Rearrange -3*m - 53*m**4 + m**2 + 34*m**4 + 32*m**4 - m**3 to x*m**3 + f*m**4 + d + j*m + h*m**2 and give x. -1 Express 328 - 328 + 63*w in the form y*w + o and give y. 63 Rearrange (4*a - 4*a + 2*a)*(-285 + 5613*a - 14754*a + 285) to h*a**2 + z*a + l and give h. -18282 Rearrange -1 + 1 - 8 + 8 - 1610*w to f + i*w and give i. -1610 Express (-1 + 2 + 0)*(0*b - 5*b + 4*b) - b - b + 0*b - 4 + 4 + b - 60 + 60 - 41*b as i*b + y and give i. -43 Rearrange -139*n**2 - 322*n**2 - 38*n + 38*n to the form k + m*n**2 + u*n and give m. -461 Rearrange -5*v**2 + 3*v**2 - 6*v**4 + v**2 - 2*v**3 - v**2 - 13*v + 4*v**4 to the form a*v**3 + u*v**2 + z + w*v**4 + s*v and give a. -2 Rearrange -11*g + 3*g - 12*g**4 - 3*g**2 - 2 + 17*g**4 to m*g**2 + r + o*g + i*g**4 + j*g**3 and give m. -3 Express l + 7*l**3 - 6*l**2 - 2 + 0*l**2 + 9*l**2 as c + t*l**2 + w*l**3 + a*l and give t. 3 Rearrange (-6*z + 2*z + 3*z)*(6*z**2 - 2*z**2 - z**2) - 194*z**3 + 219096*z**2 - 219096*z**2 to the form u*z**2 + h*z + i + m*z**3 and give m. -197 Rearrange (4 - 3 + 0)*(-45*b - 335 + 49*b + 438) to j + v*b and give v. 4 Express (2 - 4*t - t + 2*t)*(2 - 2 - 3 + (-1 + 4 - 5)*(0 + 3 - 6) + (-1 - 3 + 5)*(-1 + 0 + 2)) in the form f + v*t and give f. 8 Express -2*a - 3*a**3 - 2 + 4*a - 2*a**3 in the form o*a + m + c*a**2 + r*a**3 and give r. -5 Express (-74 + 130 + 155 + 17)*(-21*u + 10*u**4 + 21*u) in the form f*u + s*u**4 + w*u**2 + i*u**3 + d and give w. 0 Rearrange 2*s + 4*s + 3*s + (-2*s + 4 - 4)*(5 - 4 + 1) + 2*s - 2*s - s to the form h + f*s and give f. 4 Express -58*r - 224*r**2 - 58*r + 116*r - 386*r**2 as m + l*r + a*r**2 and give a. -610 Express (801*v + 66*v + 497*v + 16*v)*(0*v - v + 3*v) in the form s + b*v**2 + f*v and give s. 0 Express 0*p - 3*p + 632*p**2 + 4*p - 11*p**2 - 2*p as d + i*p**2 + s*p and give i. 621 Rearrange (3*v**3 + v**3 - 3*v**3)*(-97 + 332 + 94) to the form s + k*v + m*v**2 + l*v**3 and give s. 0 Express 0*x + 0*x + x + (-4 + 0 + 2)*(0 - x + 0) + 733*x - 5760*x - 1562*x - 1524*x in the form t + m*x and give m. -8110 Express -23 - r + 28 + 6 as v*r + p and give p. 11 Express -127 - 222 + 722 + 2*k as i + o*k and give i. 373 Rearrange 6 - 49*v + 2*v**2 + 21*v + 25*v to i + l*v + b*v**2 and give i. 6 Express -6*v - 13*v**3 + v**4 - 3*v + 4*v in the form s*v**2 + g*v**4 + a*v**3 + p + j*v and give a. -13 Rearrange (-v + 2*v + v)*(37 - v - 37 - 5*v**2)*(6 - 15 - 15) to the form t*v + f*v**2 + b + j*v**3 and give j. 240 Rearrange 26 - 59 - 5*o + 10*o - 39 + 9 to f*o + v and give v. -63 Rearrange
{ "pile_set_name": "DM Mathematics" }
4 Expand (n - 3*n + n)*((6 - 4 - 1)*(6 - 5 - 3) + 3 - 3 + 2 - 2 + 1 - 1 + 3 - 1 - 1)*(1 - 1 - 2*n). -2*n**2 Expand -2*t**5 - t**5 + 5*t**5 + 3*t - 3*t - 2*t**5 + t**5 + t**5 + 0*t**5 - 3*t + t**5 + 3*t + (0*t + 0*t - t**4)*(1 - t - 1) + 10*t**5 - 3*t**5 - 4*t**5. 7*t**5 Expand -h**3 + 0*h**3 - h**3 + (-5*h**2 + 2*h**2 + h**2)*(43 - 3*h - 43) - h**3 + 0*h**3 + 2*h**3. 5*h**3 Expand (-3 + 1 + 5)*(10*m**3 - 12*m**3 + 5*m**3). 9*m**3 Expand (0 + 0 - 1)*(-2*v**2 + 80 - 70 + 4*v**2). -2*v**2 - 10 Expand 2*o - 2*o + o**3 + (5*o**2 - 2 + 2)*(2*o + o - o). 11*o**3 Expand (0*q + 20*q**5 + 0*q)*(2 + 3 - 4) - 3*q**3 + 3*q**3 - q**5 + (-2*q**2 - 2*q**2 + 5*q**2)*(-2 + 2 - q**3). 18*q**5 Expand (2*o - 2*o**2 - 2*o)*(-o + 0*o + 0*o) + 2 - 2 + o**3 + 32*o - 45*o**3 - 32*o + (2 - 7 + 3)*(0*o**3 + o**3 - 2*o**3) - 2*o**3 + 0*o**3 + 4*o**3. -38*o**3 Expand (7*y - y**4 - 7*y)*(2 - 1 - 2*y - 2). 2*y**5 + y**4 Expand (-4*p + 11*p + p)*(0*p**3 + p**3 + 5*p**3). 48*p**4 Expand (0 + 0 + u**2)*(2*u**2 - 2*u**2 + u**3) + 15*u**5 + 4*u**5 + 8*u**5. 28*u**5 Expand (-1 - 1 - z**2 - z**2)*((-z + 4 - 4)*(0 + 1 + 1) - 10*z + 5*z - 4*z). 22*z**3 + 22*z Expand -3*l**4 + 3*l**4 + 2*l**4 + (-4*l + l + 4*l)*(-2*l**3 + 0*l**3 + l**3) + (2*l**2 - 1 + 1)*(0*l**2 - 16*l**2 + 7*l**2). -17*l**4 Expand 4*z - 7*z - 2*z + ((-2 + 4 - 3)*(-3 + 1 + 0) - 3 + 4 - 2)*(-2*z + 5*z - z). -3*z Expand (-7*i + 3*i - 2*i)*(-5*i**2 + 5*i**2 - 4*i**2). 24*i**3 Expand (-1 - 3 - 5)*(0*u**2 + 0*u**2 - 2*u**2) - 1 + 3*u**2 - 3*u**2 - u - 2*u**2. 16*u**2 - u - 1 Expand ((-2 + 2 + 2)*(-2 + 3 + 1) - 6 - 2 + 2)*(-5*n + 2*n**3 + 2*n**3 + 6*n). -8*n**3 - 2*n Expand (-1 - f + 1)*(-3 + 16 + 6). -19*f Expand 2*l - 3*l + 0*l + (1 - 4 + 1)*(2*l + 0*l + 0*l) - 29*l + 11*l + 14*l + 2*l + 1 - 1. -7*l Expand (3 - 4 - 3)*(-6*y**2 - 3 - 2*y**2 + 7*y**2). 4*y**2 + 12 Expand (-8*s**3 + 29 - 29)*(s - 3*s + 0*s)*(-s + 6*s - 3*s). 32*s**5 Expand (-j**4 + 5*j**4 + 5*j**4)*(4*j + 3*j - 5*j). 18*j**5 Expand 4*g + 6*g + g + 0*g + (0*g - 3*g + 4*g)*(-5 + 3 + 4). 13*g Expand (-2 + 2 - 2*n**3)*(n**2 - 2*n + 2*n) + 2*n**3 - 2*n**3 - n**5 + n + 2*n**5 - n + (-3 + 3 + n)*(-n**3 + n**3 + 7*n**4). 6*n**5 Expand -3*t**3 + 0*t**3 + t**3 + 2*t**3 + 0*t + 0*t + (0*t + 3*t - 5*t)*(-12 + 12 + 84*t**2). -168*t**3 Expand (-2 - 2*v + 2)*(1 + 5 - 7)*(2*v - 3*v + 3*v). 4*v**2 Expand (-1 + 1 - 3*x)*(-4*x**3 + 4*x**3 - 2*x**3). 6*x**4 Expand (52*w**2 - 21*w**2 + 27*w**2)*(-3*w + w + 4*w) + (-2 - 4 + 4)*(-2*w**3 + 3*w**3 + w**3) + w**3 - 4*w + 4*w. 113*w**3 Expand (1 - 2*w**3 - 1)*(-w**2 - 2 - 10 + 5). 2*w**5 + 14*w**3 Expand (3*o - 8 + 8)*(-3*o**3 + 5*o**3 - 3*o**3) - 3*o**4 + 5*o**4 - 5*o**4. -6*o**4 Expand (-4*s + 4*s + s)*(0*s + 0*s + 3*s)*(0 + 0 + 2*s)*(0 - 1 + 3). 12*s**3 Expand -f**2 - 4*f**2 + 2*f**2 + 3*f - 2 - 3*f - 7*f**2 - 2*f + (2*f + 3*f - 3*f)*(2*f - 2*f + f). -8*f**2 - 2*f - 2 Expand (-5*m + 3*m + 3*m)*(-2*m - 40 - 38 + 72). -2*m**2 - 6*m Expand ((0*s**2 + 0*s**2 + s**2)*(-2*s - 2*s**2 + 2*s) + (3*s**3 + 0*s**3 - s**3)*(3*s - 3*s - s) - 2*s**4 - 3*s**2 + 3*s**2)*(-6 - 12 + 12). 36*s**4 Expand (2*m**2 - 5*m**2 + 4*m**2)*(12*m - 26*m + 10*m - 2). -4*m**3 - 2*m**2 Expand (3*x - 2 + 2)*((x - x**2 - x)*(2*x**2 + 0*x + 0*x) - 55 - 3*x**4 + 55). -15*x**5 Expand -w**2 + w**2 + 2*w**2 + 2*w**2 - 2 + 2 + (7*w**2 - 17*w**2 + 0*w**2)*(0 - 1 - 1) + (-2*w + 0 + 0)*(-2 + 3*w + 2). 18*w**2 Expand (x - x + x**2)*(2 - 1 - 3) - 2 + 0 + 3 + 3*x**2. x**2 + 1 Expand 0*j**4 - 3*j**4 + j**4 + 10*j + 6*j**4 - 10*j + (-2*j + 0*j + 4*j)*(2*j + j**3 - 2*j). 6*j**4 Expand (-4*x + 4*x - 11*x)*(x + x - x + (4 + 2 - 5)*(-4*x + 5*x + x) - x + 4 - 4 + 2*x + x - x). -44*x**2 Expand (-2*d**2 + d - d)*(3 - 3 + 1 + 5 - 3 - 5 - 1 - 1 + 4 + (3 - 2 - 2)*(2 - 3 + 3) - 3 + 4 + 0 + 0 + 4 - 6). 6*d**2 Expand (1 - 3 + 1)*(-1 + 0 + 2)*(4*w + w - 3*w)*(-3 + 15 - 10). -4*w Expand (2*w - 2*w + w**3)*(4*w**2 - 9*w**2 - 3*w**2 - 2*w**2 + w**2 + 0*w**2 + (0*w + w + 0*w)*(2 - 2*w - 2) - 2*w**2 + 1 - 1). -13*w**5 Expand (0*g**3 - g**3 - g**3)*(4*g - g - 4*g) + (3*g**3 + 2*g**3 - 3*g**3)*(0*g + g - 4*g) + 14*g**4 + 2*g - 2*g. 10*g**4 Expand (-g + 1 - 1)*(136 - 86 + 91). -141*g Expand (1 - 1 + 2*l**2)*((7 + 0 + 5)*(-3*l - 2*l + 6*l) + 4 - 4 - 2*l). 20*l**3 Expand (-3*z - 2*z + 3*z)*(2*z - 3*z + 0*z) - z**2 + 0*z**2 + 3*z**2 + (z + 0*z + 0*z)*(-2*z + z + 3*z) - 4*z**2 + 2*z**2 + z**2. 5*z**2 Expand (5 + s - 4 + 2*s)*(6 - 1 - 4). 3*s + 1 Expand ((-4 - 3 + 6)*(1 + 4 - 1) - 4 + 0 + 1)*(-4*v**4 + 3*v**4 + 0*v**4). 7*v**4 Expand 3*u**5 + 0*u**5 - 5*u**5 + (0 - 2 + 1)*(-u**3 - 4*u**5 + u**3). 2*u**5 Expand (-2 + 2 + 9*x)*(-2*x - 2*x + x). -27*x**2 Expand -k**3 - 2 + 2 + (4 - 4 - 3*k)*(0*k**2 + 0*k**2 + k**2). -4*k**3 Expand 0 + 0 - 2*b**2 + (0 + 2 + 0)*(4 + 2*b - 4)*(-b + b + 3*b) + b**2 - 3*b**2 + 0*b**2. 8*b**2 Expand (-3 + 6*w + 3)*(3 - 3 - 2*w). -12*w**2 Expand (3*q + 26*q**3 + 33*q**3 - 64*q**3)*(7*q**2 - 3*q**2 - 3*q**2 + (-3 + 4 - 3)*(0*q**2 + 4*q**2 - 6*q**2) - 3*q**2 + 3*q**2 - 2*q**2). -15*q**5 + 9*q**3 Expand (-6 + 4 + 4)*(-5*z + 4*z + 2*z) + 3*z + 0*z + 1 - 6*z. -z + 1 Expand (-6*n + 5*n**2 + 6*n)*(-2*n**2 - 2*n + 7*n**2 - n**2 - 3). 20*n**4 - 10*n**3 - 15*n**2 Expand -a + a - a + (-6 - 3 - 19)*(-1 + a + 1). -29*a Expand (-2*v + 5*v - 2*v)*(0 + 0 + 3) - v - v + 0*v + (-3 + 3 + 3)*(-2*v + 3 - 3). -5*v Expand (3*s - 5*s + 4*s)*(-s**2 + 4*s**2 - s**2) + s**3 - 7 + 7 + (-2*s - 2*s + 3*s)*(0*s**2 + 0*s**2 + s**2) + 3*s**3 - s + s. 7*s**3 Expand (13 + 3 - 1)*(-4*y**3 + 4*y**3 + y**5). 15*y**5 Expand -7*p**2 - p**4 + 15 + 7*p**2 + (-3*p**2 - 2*p**2 + 4*p**2)*(p**2 - 4*p**2 + p**2). p**4 + 15 Expand (18*k - 18*k - 9*k**2)*(2*k - 2*k - 2*k**2) - k**4 + k**4 + k**4 + (-3*k**4 + 3*k**2 - 3*k**2)*(0 - 1 + 3) + 0*k**4 - 2*k**4 - k**4. 10*k**4 Expand (-3*v - 4*v - 19 + 5*v)*(3 - 4 - 1)*(-3 + 2 - 1). -8*v - 76 Expand (-1 + g + 1)*(43 - 42 - 57)*(2 - 1 + 1)*(2 + 1 - 1). -224*g Expand 12*x + 36*x - 21*x + 2 - 2 - 2*x + x + 2 - 2 - 2*x + 3*x + 0*x + 0*x + 2*x + 0*x + (-3 - 1 + 2)*(-2*x - 4 + 4) + (0*x + 0*x + 2*x)*(5 - 1 - 2). 37*x Expand (-3*d**2 + 5*d**2 + 0*d**2)*(-3*d**3 - d**3 + 2*d**3 + (-2*d - d**2 + 2*d)*(2*d + 0 + 0) - 8*d**3 - 7*d**3 + d**3). -36*d**5 Expand (-j + 4*j - 4*j)*(-62*j**3 + 114*j**3 - 50*j - 54*j**3). 2*j**4 + 50*j**2 Expand 2*u**2 + 2*u**4 - 2*u**2 - u + u + u**4 + (u**4 + 2*u**4 - 5*u**4)*(-1 + 5 - 2). -u**4 Expand (13*l**2 + 25*l**2 - 13*l**2)*(3 - 3*l**2 - 3 + (l - 1 + 1)*(-2 + 2 + 2*l)). -25*l**4 Expand (5*q**3 - 3*q**3 + 6*q**3)*(0 - q + 0) - 4*q**4 + 4*q**4 - 2*q**4. -10*q**4 Expand (2*g**2 + 5*g**3 - 2*g**2)*(5*g + 3*g - 5*g)*(-1 - 3 + 2). -30*g**4 Expand (w**2 - w**2 + 2*w**3)*(-2 - 3 + 4)*(2 + 2 - 5). 2*w**3 Expand -13*p**5 - 5*p**5 + 5*p**5 + (2*p**2 - p**2 - 2*p**2)*(-2*p**3 - p + p) - p**5 + 0*p**5 + 3*p**5 + 3*p**5 + p**5 - 3*p**5. -8*p**5 Expand (o**2 + 5*o**2 - 4*o**2)*(4 + 2 + 0) + 2 - 2 + o**2. 13*o**2 Expand (2*a - 1 + 0 + 0)*(-2*a**3 - 10*a**3 + 4*a**3). -16*a**4 + 8*a**3 Expand (z**3 - z**3 - z**3)*(4 - 3 + 2)*(-5 + 6 + 0). -3*z**3 Expand (3 - 4 + 5)*(2 + 0 - 6 + 2*x). 8*x - 16 Expand 3*s + 0*s - 4*s + (-4 + 3 + 0)*(0 + s + 0) - 1394 + 84*s + 1394. 82*s Expand m**4 + 216*m**3 - 108*m**3 + 3*m - 109*m**3 + 2*m**4 - 2*m**3 + 2*m**3 + (4*m**3 - m**3 - m**3)*(1 - 1 - 2*m). -m**4 - m**3 + 3*m Expand (-15 + 19*x**4 + 15)*(-2*x + 0*x + 5*x). 57*x**5 Expand (2*h**2 + h**2 - 5*h**2)*(7 - h**2 + 2*h - 7). 2*h**4 - 4*h**3 Expand (1 - 7*o - 1)*(-1 - 1 + 5)*(0 + 2 + 1)*(3*o + 3*o - 5*o). -63*o**2 Expand (2 + 0 - 1)*(4*l**4 + l**4 - 3*l**4) + (-l**2 + 0*l**2 - l**2)*(-l**2 + 0*l**2 + 0*l**2). 4*l**4 Expand o**4 - o**4 - 2*o**4 - 2*o**4 - 3 + 3 + (2*o + 0*o + 0*o)*(-5*o**3 + 5*o**3 - o**3) - 1 - 4*o**4 + 1 + o**4 + 0*o**4 + 2*o**4. -7*o**4 Expand (1 - 6 + 4 + 3*p)*(7*p - p - 4*p - p**4). -3*p**5 + p**4 + 6*p**2 - 2*p Expand x - x - 2*x**5 + (x - x + 5*x)*(x - x - 2*x**2)*(-x**2 - 4 + 4). 8*x**5 Expand (2*a + 2*a - 5*a)*(a**2 + 0*a**2 + 5*a**2 - 2*a**3). 2*a**4 - 6*a**3 Expand (0 - 4 + 5)*(-2*k + 1 - 1) + 9*k - 20*k - 7*k. -20*k Expand 0*v**5 + 3*v**5 - 4*v**5 + (3 - 2*v**3 - 3)*(4*v**2 - v**2 - 4*v**2) + v**5 - 2*v**5 + 0*v**5 + (-v**2 + 2*v**2 + v**2)*(2*v**3 + v**3 - 4*v**3). -2*v**5 Expand (2*j**2 - j**3 - 2*j**2)*(4 + 4 - 4 + 3 - 3 - 2 + (-2 - 4 + 4)*(-4 - 2 + 4)). -6*j*
{ "pile_set_name": "DM Mathematics" }
m ikiikiikikkllkiii. 3/85 Three letters picked without replacement from {m: 4, q: 2, j: 1, c: 1, y: 1, p: 3}. What is prob of sequence qqj? 1/660 Three letters picked without replacement from qtmqqquqtmmqmqtmnn. What is prob of sequence muq? 35/4896 Three letters picked without replacement from zfaaaasqqqaqaaala. Give prob of sequence zqs. 1/1020 Four letters picked without replacement from {c: 1, g: 6, x: 1, v: 1, t: 3}. Give prob of sequence vcgx. 1/1980 Three letters picked without replacement from moosd. What is prob of sequence msd? 1/60 What is prob of sequence htht when four letters picked without replacement from {t: 3, h: 11}? 5/182 Two letters picked without replacement from uuuuuuuuuuzuhz. Give prob of sequence uu. 55/91 What is prob of sequence uuf when three letters picked without replacement from unxnxffnngf? 0 Calculate prob of sequence nn when two letters picked without replacement from {n: 3, i: 2}. 3/10 Calculate prob of sequence sgs when three letters picked without replacement from gsgse. 1/15 Calculate prob of sequence bb when two letters picked without replacement from {b: 7, t: 5}. 7/22 Calculate prob of sequence acdh when four letters picked without replacement from hahcd. 1/60 What is prob of sequence ww when two letters picked without replacement from wnnwwwngw? 5/18 Three letters picked without replacement from {a: 5, i: 5}. What is prob of sequence aii? 5/36 Three letters picked without replacement from {f: 1, c: 5, p: 3}. Give prob of sequence pfc. 5/168 Three letters picked without replacement from {z: 7, r: 3, b: 2, t: 8}. Give prob of sequence ztz. 14/285 Calculate prob of sequence cocn when four letters picked without replacement from wddconddnndkcnodd. 1/3570 What is prob of sequence elo when three letters picked without replacement from {l: 1, e: 5, o: 5}? 5/198 Calculate prob of sequence iaj when three letters picked without replacement from iraiaiiarj. 1/60 Four letters picked without replacement from noonoixioni. Give prob of sequence ooox. 1/330 Three letters picked without replacement from {z: 5, u: 2, k: 4}. What is prob of sequence uzz? 4/99 Two letters picked without replacement from mmmmmmmmvmmmmmvmmv. Give prob of sequence mv. 5/34 Four letters picked without replacement from {j: 6, k: 2, n: 4, i: 6}. What is prob of sequence jkik? 1/1020 What is prob of sequence tyu when three letters picked without replacement from xytug? 1/60 Calculate prob of sequence hh when two letters picked without replacement from hhlxlghhp. 1/6 Calculate prob of sequence hhz when three letters picked without replacement from {h: 2, z: 7}. 1/36 Calculate prob of sequence fhhf when four letters picked without replacement from hfhhfhhhfhhhhf. 45/1001 Calculate prob of sequence gggg when four letters picked without replacement from ogggggggogg. 21/55 Calculate prob of sequence www when three letters picked without replacement from wwwz. 1/4 What is prob of sequence anww when four letters picked without replacement from wgangwggn? 1/756 Two letters picked without replacement from {j: 5, o: 11, c: 1}. What is prob of sequence oc? 11/272 Calculate prob of sequence ny when two letters picked without replacement from ohnvrvy. 1/42 Four letters picked without replacement from uuuu. Give prob of sequence uuuu. 1 Two letters picked without replacement from {h: 1, p: 1, x: 1, m: 3, r: 5}. What is prob of sequence rp? 1/22 Two letters picked without replacement from xxwxwhcxhwwahhww. Give prob of sequence xc. 1/60 Three letters picked without replacement from {w: 2, c: 5, s: 1, p: 2, t: 6}. What is prob of sequence cww? 1/336 Three letters picked without replacement from qihwizg. Give prob of sequence qiw. 1/105 Two letters picked without replacement from {s: 2, q: 1, e: 2, x: 4, p: 3}. Give prob of sequence es. 1/33 Four letters picked without replacement from hhhhh. What is prob of sequence hhhh? 1 What is prob of sequence qq when two letters picked without replacement from irbqbqbizqzizzkiz? 3/136 Two letters picked without replacement from wttrbw. What is prob of sequence wb? 1/15 What is prob of sequence pk when two letters picked without replacement from tkpkjjpc? 1/14 Two letters picked without replacement from {t: 2, c: 5}. What is prob of sequence ct? 5/21 Calculate prob of sequence xf when two letters picked without replacement from fxfv. 1/6 Two letters picked without replacement from {m: 2, l: 4, a: 3, h: 2}. What is prob of sequence mm? 1/55 What is prob of sequence bsvk when four letters picked without replacement from {k: 1, s: 5, v: 5, b: 5}? 25/8736 Calculate prob of sequence pfa when three letters picked without replacement from afadfrrffrffpkfkff. 1/272 Two letters picked without replacement from szvvrvzvvze. Give prob of sequence zz. 3/55 Calculate prob of sequence vi when two letters picked without replacement from iuvuwuwuuuuuwuww. 1/240 Two letters picked without replacement from nnrtk. What is prob of sequence kr? 1/20 Two letters picked without replacement from {u: 2, g: 2, v: 6, e: 3}. What is prob of sequence gv? 1/13 What is prob of sequence ls when two letters picked without replacement from hlsno? 1/20 What is prob of sequence kk when two letters picked without replacement from {k: 2, w: 5, q: 7}? 1/91 Calculate prob of sequence br when two letters picked without replacement from {b: 1, w: 2, d: 3, l: 2, r: 2, f: 2}. 1/66 Three letters picked without replacement from bbbnbnnbbnbbnnbbbb. What is prob of sequence bbn? 11/68 Two letters picked without replacement from googooggiogoogogiog. Give prob of sequence oo. 4/19 Calculate prob of sequence ldtl when four letters picked without replacement from tllld. 1/20 Four letters picked without replacement from vvbvvbvbbvnvnb. What is prob of sequence bnbn? 5/3003 Two letters picked without replacement from {f: 8, n: 4, c: 5, s: 1}. Give prob of sequence ff. 28/153 Four letters picked without replacement from {i: 3, e: 1, v: 4, n: 6}. What is prob of sequence nivv? 9/1001 Three letters picked without replacement from nuwnvzr. Give prob of sequence nvz. 1/105 What is prob of sequence aj when two letters picked without replacement from taadaiajj? 1/9 Calculate prob of sequence vv when two letters picked without replacement from viiiiieiviivvi. 6/91 What is prob of sequence glgx when four letters picked without replacement from {l: 6, x: 1, g: 2, a: 5, p: 1}? 1/2730 Three letters picked without replacement from eeppppppepe. What is prob of sequence pep? 28/165 What is prob of sequence ssmr when four letters picked without replacement from smxmxrrxrxrssmm? 4/1365 What is prob of sequence isp when three letters picked without replacement from zkkzpikpsz? 1/360 Calculate prob of sequence sb when two letters picked without replacement from ssbbbbbbb. 7/36 Three letters picked without replacement from ffwkfkwwwfkwwff. Give prob of sequence wfw. 6/91 Two letters picked without replacement from {d: 10, m: 7, h: 1, x: 1}. What is prob of sequence hx? 1/342 Four letters picked without replacement from {i: 2, x: 4, j: 1, f: 1, r: 2}. Give prob of sequence irfr. 1/1260 Two letters picked without replacement from tsttbss. Give prob of sequence ss. 1/7 Four letters picked without replacement from {e: 2, s: 6, l: 1, g: 3, a: 1, j: 2}. What is prob of sequence lajs? 1/2730 What is prob of sequence jtak when four letters picked without replacement from jkqta? 1/120 Calculate prob of sequence zzzz when four letters picked without replacement from lzll. 0 What is prob of sequence ogut when four letters picked without replacement from ttguttsuttogtt? 4/3003 Calculate prob of sequence ccj when three letters picked without replacement from jccj. 1/6 Two letters picked without replacement from jxxgxxgrhhhrhgrxxx. Give prob of sequence jr. 1/102 Three letters picked without replacement from {f: 3, t: 11, c: 3, n: 2}. What is prob of sequence nfn? 1/969 What is prob of sequence wja when three letters picked without replacement from jawquqwuxxqx? 1/660 What is prob of sequence tm when two letters picked without replacement from zbttmbmrztzmmzbttm? 25/306 Three letters picked without replacement from drrrrdndrnoo. Give prob of sequence rdd. 1/44 Two letters picked without replacement from
{ "pile_set_name": "DM Mathematics" }