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g*f + 10 = 14 for f. -2 Let h be (80/(-60))/(2 - (-12)/(-9)). Let u be (5 - h) + 5 + (-8)/2. Suppose 0 = 3*d - 0*d. Solve d = 4*m + 8 + u for m. -4 Let u be (528/22)/8 - 28/(-4 - -2). Solve -27*p + u = -91 for p. 4 Suppose n = 5, 22*n = 4*g + 25*n - 107. Solve -g*j + 2 = -21 for j. 1 Let h(k) be the first derivative of -3*k**2 - 3*k + 29. Let y be h(-1). Suppose y*m - 2*m - 2 = -4*w, -2*w = -m + 2. Solve w = -3*z - 1 + 13 for z. 4 Let w = -264 - -278. Suppose -u + 24 = w. Solve 9 = -k + u*k for k. 1 Suppose 5*z - 3*m - 48 = -0*m, -z - m + 16 = 0. Suppose -4*c + 6*a + 101 = 59, -c + 4*a = -28. Solve c = -10*g + z*g for g. 0 Let s(n) = -2*n**2 - 95*n + 706. Let m be s(-54). Let t be (0 + 0)/(0 + -3). Let k(h) = -h**2 + h + 16. Let u be k(t). Solve 0 = m*j + u + 4 for j. -5 Let u(f) = -f**3 - 20*f**2 + 46*f + 2. Let b be u(-22). Let c be 541/(-7) + (-12)/b. Let a = c - -81. Solve -21 = a*m - 1 for m. -5 Let d = 29 + -20. Suppose -3*r = 3*c - d, -r + 5*c + 0 = -3. Suppose r*w + a = 13, -a = w - 3 - 4. Solve -2*g = w*g - 15 for g. 3 Let n = -8056 - -8061. Solve -n*o = 32*o + 222 for o. -6 Suppose 23*y - 159 = -67. Suppose 55 - 67 = -y*m. Solve -4*c + m = -9 for c. 3 Suppose t - 24*j + 30*j = 15, -26 = -3*t + j. Solve -t = -14*p - 23 for p. -1 Suppose -50*n + 129 = -21. Suppose -3*a - 3*w = -3, -10 = a - 4*w - 26. Solve -u - n*u = -a for u. 1 Suppose -15 = -0*c + 3*c + 3*m, 4*c = m. Let l(t) = 38*t + 42. Let f be l(c). Solve -19 + f = -3*x for x. 5 Suppose -4*y + 3*y + 1145 = 5*g, -687 = -3*g - 3*y. Suppose -26 = -15*d + g. Solve 13 = -6*t - d for t. -5 Let o be (4 - (-10)/(-5)) + 0 + -3. Let c(n) = -1. Let j(r) = 3*r + 17. Let i(w) = o*j(w) - 4*c(w). Let p be i(-5). Solve -2*l - p + 8 = 0 for l. 3 Let k(w) = w**2 + 136*w + 1614. Let n be k(-13). Solve 20 = -n*r + 95 for r. 5 Suppose 0 = -7*j + 4*j + 417. Let p = j - 137. Solve -p + 0 = -2*m for m. 1 Suppose 10*t + 129 = 139. Let k(w) = 17*w**2 - 3*w + 2. Let s be k(t). Solve -3*r + s - 4 = 0 for r. 4 Let h be (3/(-3))/(2/(-4)). Let p be 1 + (21 - 10 - (4 - -4)). Suppose 0 = -3*o - p*b - 6, -5*o = -4*o - h*b - 8. Solve -2*y = o*y for y. 0 Suppose 3*t + 6 = 2*t. Let n be 4/t*(-3)/(1/(-1)). Let k be 48/9 + n + 8/12. Solve 2*o - 6 = k*o for o. -3 Let h(k) = 25*k**3 - 71*k**2 + 10*k - 37. Let w be h(3). Solve 2*m = -37 + w for m. -4 Suppose -17*n + 219 = 32. Solve 0 = -n*a - 38 + 16 for a. -2 Let w(h) = -h**3 - 3*h**2 + 9*h + 22. Let i(r) = -r**3 + r**2 - r + 2. Let z be i(2). Let c be w(z). Let x = -44 + 50. Solve 2 = -c*k - x for k. -4 Let o(t) = 3*t. Let i be o(1). Let m(z) = -3*z**3 - 9*z - 10 + z**2 + 2*z**3 - i + 11*z**2. Let u be m(11). Solve 3*j + 3 = u for j. 2 Suppose -4*v - 2*u = -226, -2*v - 6*u + 2*u + 116 = 0. Let y = -49 + v. Suppose d = -j + 2, 3*j + 2 = y*j + d. Solve -3*m - 2*m - 20 = j for m. -4 Let t(x) = -2*x**3 - 16*x**2 + 2*x - 126. Let q be t(-9). Solve -18 = -9*d + q for d. 4 Suppose -2*r = 5*b - r - 85, b = 3*r + 17. Suppose -25*a = -24*a - 8. Suppose 3*l = -2*j + 14, -3*j + 3*l = -a*j + b. Solve -9 - j = 5*v for v. -2 Let p(b) = b**3 + 18*b**2 + 17*b + 2. Let v be -11 - 7/(14/(-6)). Let r(n) = -n**2 - 8*n - 17. Let a be r(v). Let j be p(a). Solve 0 = -j*y - 0*y + 8 for y. 4 Let q = 183 - 153. Suppose -20*k + q = -14*k. Solve 0 = -c + 1 - k for c. -4 Let y be (24/(4 + -8))/(8 + -10). Let s be 2*(-1)/(3 - 1). Let z = 7 + s. Solve -y = -t - z for t. -3 Let f = 317 - 88. Let c = f - 226. Solve 0 = -c*i - 19 + 25 for i. 2 Suppose -f - 10 = -0*f + 5*w, 4*f - 2*w - 26 = 0. Suppose -95 = f*z + 100. Let o = 42 + z. Solve -5*i - 7 = o for i. -2 Let u(v) = -19*v - 99. Let m be u(-22). Suppose 10*o + 69 = m. Solve o = -8*z - 7 for z. -4 Let i(r) = -r**3 - 8*r**2 + 4*r + 5. Let q be i(-7). Let m = q + 76. Suppose a = 3*w + m, -5*w + 6 + 2 = 2*a. Solve -2*u = -w*u for u. 0 Let t(l) = 3*l**3 + 10*l**2 + 2*l. Let z be t(-3). Suppose 5*q = -z*b - 0 + 2, 4*b = -4. Solve -h + 0*h = -q for h. 1 Let q be 6 - (-13 - 5)/(-6). Solve -q*d + 2*d + 13*d = 0 for d. 0 Suppose 2*i - 3 - 7 = 0. Let a(r) = 30*r**2 - r + 1. Let p be a(1). Suppose -10 - p = -4*l. Solve -3*g + l = -i*g for g. -5 Let v be -5*(6 - 5) + 6. Let p be 4 + (7 - 5)*v. Suppose -4*m = -2 - p. Solve -m*f + 6*f = 12 for f. 3 Suppose 82*a - 22080 = 2*a. Solve -273*i = -a*i + 6 for i. 2 Let w be 215/1290*0/(1/(-1)). Solve w = 22*b - 4*b + 36 for b. -2 Suppose 103*z = -994 + 994. Let f(r) = 6*r. Let v be f(2). Suppose k = -k + v. Solve z*b - 3*b = -k for b. 2 Let j(v) = 11*v**3 + 56*v**2 - 18*v - 12. Let b be j(-7). Let a = -909 - b. Solve -11*c = -a*c - 4*c for c. 0 Suppose 2*i = -10*j + 5*j - 1040, 4*i + 638 = -3*j. Let m = j - -215. Solve 0 = 5*b - m*b + 16 for b. 4 Let t be (-45)/(-4) + 39/52. Let v = -8 + 5. Let o = 5 + v. Solve -o*b - t = -4 for b. -4 Let d be 1/20 - (-372453)/6540. Solve -20*n + d*n = -74 for n. -2 Let w = 4718 + -4016. Solve -715*r = -w*r - 91 for r. 7 Suppose -454 = -5*x - 4*k, 2 = x - 5*k - 112. Solve -40 = 9*z - x for z. 6 Let r be ((1/(-2))/(10/(-220)))/1. Let o be (395/(-35) + r)/((-1)/7). Solve o*y = -2*y + 12 for y. 3 Let o = 277 + -369. Let b = -73 - o. Solve 5*z = 4 - b for z. -3 Let r(l) = -7*l - 23. Let b be r(-4). Suppose -2*x + b*j + 13 = -15, -2*j + 4 = 3*x. Solve -c = x*c for c. 0 Suppose 3*w + l = 5, 5*l - 3 = 2*w - 6*w. Suppose 629*k = 636*k - 14. Solve 20 = k*i + w*i for i. 5 Let h(r) = r - 10. Let q be h(13). Suppose -q*x + 3*d + 1 = 4, 31 = 4*x + 3*d. Solve x*t - 8 = 2*t for t. 4 Let y(j) = j**3 - 2*j**2 - 3*j + 4. Let d be y(3). Let r(h) = 6*h + 5 - 21*h + 14*h. Let b be r(-10). Solve -b = z + d*z for z. -3 Let x(d) = -d**3 - 3*d**2 - d - 3. Let r be x(-2). Let k be (r/(-2 + -3))/((-3)/(-9)). Solve -13*c - 30 = -k*c for c. -3 Suppose -92 = -2*q - 3*x, -4*x = -4*q - 2*x + 184. Suppose q - 54 = -i. Solve 0 = i*w + 14 + 2 for w. -2 Let g be ((-12)/10)/(1/(-10)). Let a = 126 - 128. Let b be (-2 - 2 - a)/(-1). Solve -g = 5*v - b for v. -2 Let q be 1/(-1 + 0)*-1. Let a be 2 + q*(2 - 1). Suppose 67 = -10009*c + 10014*c - 3*z, -3*z = c - 53. Solve -a*u - 8 = -c for u. 4 Suppose 5*v = 5*x + 860, -v - 70 = 5*x - 206. Solve v*j = 170*j + 16 for j. -4 Suppose 3*o + 5*o = 64. Let k(u) = -u**3 + 9*u**2 - 6*u - 16. Let w be k(o). Let b = -36 + 39. Solve -b*h = -w*h + 15 for h. -5 Let p be 21/(-12)*-2*8. Suppose m = 2*x + p, -2 + 5 = -x - 5*m. Let o = x - -17. Solve -24 = 4*q - o for q. -5 Let u be ((-84)/4 - -12) + 4. Let i(r) = r**2 + 2*r + 2. Let j be i(-2). Let n be j/(-65)*u - 48/(-26). Solve 4 - n = 2*g for g. 1 Suppose 456 = 151*l - 132*l. Solve 19*z = -l*z + 172 for z. 4 Suppose -428 = -4*m - 4*v, -256 = -2*m + 5*v - 56. Solve 0 = -12*k - 3*k - m for k. -7 Let d be 2/(-10) - (75 + -92)/(5/3). Solve 12*n = 2 + d for n. 1 Suppose 1 + 2 = x. Let r be 2/7*(1 - (-55)/22). Suppose x*z + 0*z = h - r, 4*z + h - 1 = 0. Solve z = -s + 2*s - 2 for s. 2 Let s = 47 - 47. Suppose -o - 14 = -3*a - s, 5*a + 4*o - 12 = 0. Solve -a*f = 3*f for f. 0 Let k(r) = -r**3 + 10*r**2 + 25*r - 27. Let i be k(13). Let m be 22/i + ((-287)/(-19) - -1). Solve m + 4 = -4*l for l. -5 Suppose -3*q - 4*b - 7 = 0, 5*q - 7 = -b - 13. Let l be (36/(-108))/(q/18). Solve l*i = 2*i + 20 for i. 5 Let f(i) be the second derivative of -10*i**3/3 - 93*i**2 + 13*i + 7. Let u be f(-10). Solve -u + 18 = 2*p for p. 2 Let k(m) = -16*m**2 - 4*m - 1. Let x be k(-2). Let f = -52 - x. Solve f*g + 1 = -9 for g. -2 Suppose -10113 - 37432 = -257*d. Solve 9*a + 28*a = d for a. 5 Let g(d) be the third derivative of -5*d**4/24 + 13*d**3/2 + 43*d**2. Let b be g(7). Solve -b = x - 1 for x. -3 Let m = 18763 - 18763. Solve -6*d + 17*d - 44 = m for d. 4 Let l(q) = 2*q**3 - 12*q**2 + 106*q - 739. Let f be l(8). Solve 386*d + 105 = f*d for d. -5 Suppose 2*w + 56 = 3*o - 61, -4*o - 2*w + 156 = 0. Solve -32*b + o*b - 21 = 0 for b. 3 Let x(g) = -g**2 + 292. Let y be x(17). Solve 0 = y*t + 5 - 11 for t. 2 Let u be (-10 - 0)*(-905 - -896). Solve -74*n - 48 = -u*n for n. 3 Let w(g) = g - 8. Let x = 35 - 22. Let n be w(x). Suppose 2*r - 4*o = 18, n*r - 3*o + 4*o = 12. Solve -j - 8 = r*j for j. -2 Let w be (-6)/(-10) + (-56)/(-40). Suppose w*i - d = -3*d, -4*d - 27 = -5*i. Suppose 2*a - 4*p - 4 + 2 = 0, 24 = i*a + p. Solve -5*u + a = 2 for u. 1 Let u(m) = 2*m + 16 + 5 - 6 -
{ "pile_set_name": "DM Mathematics" }
25 of a microgram? 240 What is 1/10 of a microsecond in nanoseconds? 100 How many millilitres are there in 11/8 of a litre? 1375 How many seconds are there in 0.308229ms? 0.000308229 What is 0.581779m in millimeters? 581.779 How many decades are there in 833479.5 centuries? 8334795 Convert 377187.3 litres to millilitres. 377187300 How many litres are there in 2.208734 millilitres? 0.002208734 What is 575748.09 milliseconds in hours? 0.159930025 What is twenty-three sixths of a minute in seconds? 230 How many micrometers are there in twenty-seven quarters of a millimeter? 6750 What is 43/2 of a litre in millilitres? 21500 How many decades are there in nine tenths of a millennium? 90 What is eighteen fifths of a gram in milligrams? 3600 How many years are there in 1992.38 millennia? 1992380 Convert 473189.2cm to kilometers. 4.731892 How many millilitres are there in 7/4 of a litre? 1750 How many milliseconds are there in 2.12921 minutes? 127752.6 Convert 157.136 litres to millilitres. 157136 What is 76.49995 meters in nanometers? 76499950000 How many millimeters are there in 11/2 of a meter? 5500 Convert 42281.88 litres to millilitres. 42281880 How many seconds are there in 438413.3ms? 438.4133 What is 27/5 of a millennium in decades? 540 What is thirty-seven fifths of a milligram in micrograms? 7400 What is 76/5 of a litre in millilitres? 15200 What is fourty-five quarters of a litre in millilitres? 11250 What is 19286.148 hours in days? 803.5895 How many months are there in 25/4 of a year? 75 How many millilitres are there in 19/4 of a litre? 4750 How many hours are there in 436.8381 minutes? 7.280635 How many litres are there in 49.006ml? 0.049006 What is 17/4 of a century in years? 425 How many micrometers are there in 0.2010666 meters? 201066.6 How many millilitres are there in one fifth of a litre? 200 What is 0.0454867 years in decades? 0.00454867 How many nanoseconds are there in 627.9831 weeks? 379804178880000000 How many centimeters are there in three eighths of a kilometer? 37500 How many nanometers are there in 7221.607cm? 72216070000 How many nanograms are there in three fifths of a microgram? 600 What is 3/25 of a gram in milligrams? 120 Convert 210381.6ml to litres. 210.3816 What is thirty-one halves of a gram in milligrams? 15500 What is 0.8334895t in milligrams? 833489500 How many micrograms are there in 84.49563 milligrams? 84495.63 How many nanometers are there in 3/25 of a micrometer? 120 Convert 630.5763 seconds to microseconds. 630576300 What is 5277.88l in millilitres? 5277880 How many meters are there in fifty-nine fifths of a kilometer? 11800 How many seconds are there in fifteen quarters of a hour? 13500 How many meters are there in 21/5 of a kilometer? 4200 What is 28.97691 millennia in months? 347722.92 How many centuries are there in 660068.1 decades? 66006.81 Convert 6.433162ml to litres. 0.006433162 How many millilitres are there in 566.7984 litres? 566798.4 How many grams are there in 1/5 of a kilogram? 200 What is seven fifteenths of a day in minutes? 672 How many millennia are there in 141827.52 months? 11.81896 How many decades are there in 14672.57 millennia? 1467257 What is 15/4 of a kilometer in meters? 3750 How many years are there in three tenths of a millennium? 300 What is 21/5 of a decade in years? 42 What is fifteen quarters of a litre in millilitres? 3750 What is 21/8 of a litre in millilitres? 2625 What is 12/25 of a tonne in kilograms? 480 How many kilograms are there in 5/8 of a tonne? 625 How many nanometers are there in 2/125 of a millimeter? 16000 What is 21/5 of a minute in seconds? 252 What is five quarters of a meter in millimeters? 1250 How many micrograms are there in 25/2 of a milligram? 12500 Convert 79420.51 litres to millilitres. 79420510 Convert 0.2924239 centuries to millennia. 0.02924239 Convert 716.5181ml to litres. 0.7165181 Convert 6404014.8ms to hours. 1.778893 How many centimeters are there in 1/5 of a meter? 20 How many kilometers are there in 6146.685nm? 0.000000006146685 How many millimeters are there in 1/5 of a centimeter? 2 How many grams are there in 483310.5ug? 0.4833105 How many seconds are there in one twentieth of a day? 4320 How many centimeters are there in 1/10 of a kilometer? 10000 How many nanoseconds are there in 53/5 of a microsecond? 10600 Convert 60877.17 millilitres to litres. 60.87717 What is 1/5 of a milligram in micrograms? 200 What is 876.6646 years in decades? 87.66646 Convert 781876.8 decades to years. 7818768 What is 21/5 of a litre in millilitres? 4200 What is 1/4 of a century in months? 300 What is 1/5 of a centimeter in micrometers? 2000 How many seconds are there in seven halves of a minute? 210 How many micrometers are there in 84955.33m? 84955330000 What is 3/32 of a day in minutes? 135 Convert 27.707262 months to millennia. 0.0023089385 Convert 852912.1 nanograms to kilograms. 0.0000008529121 Convert 69.16151nm to centimeters. 0.000006916151 How many minutes are there in 12/7 of a week? 17280 Convert 547181.3km to meters. 547181300 How many months are there in twenty-nine halves of a century? 17400 Convert 9525.679 weeks to microseconds. 5761130659200000 What is 1/80 of a tonne in grams? 12500 What is 481.532 millimeters in centimeters? 48.1532 Convert 333395.7g to nanograms. 333395700000000 How many litres are there in 75422.34 millilitres? 75.42234 What is 1.733924t in grams? 1733924 How many milliseconds are there in four thirds of a minute? 80000 How many milliseconds are there in 5/8 of a second? 625 What is 8828.303 meters in millimeters? 8828303 What is 5.690107 days in minutes? 8193.75408 What is 3/25 of a meter in centimeters? 12 How many years are there in 3/10 of a century? 30 How many millilitres are there in one fifth of a litre? 200 What is 26229.057 microseconds in minutes? 0.00043715095 What is 17/4 of a microgram in nanograms? 4250 What is 1/6 of a day in minutes? 240 How many grams are there in 45/8 of a kilogram? 5625 How many millilitres are there in three eighths of a litre? 375 What is fourty-seven quarters of a tonne in kilograms? 11750 Convert 1628795.4 months to millennia. 135.73295 How many grams are there in 46556.39 micrograms? 0.04655639 What is 3/5 of a millisecond in microseconds? 600 How many seconds are there in twenty-seven fifths of a minute? 324 How many micrograms are there in 1/4 of a milligram? 250 Convert 657.7881l to millilitres. 657788.1 How many days are there in eleven sevenths of a week? 11 How many millimeters are there in five eighths of a meter? 625 How many hours are there in 86/3 of a day? 688 What is 2.1880503ns in days? 0.00000000000002532465625 How many millimeters are there in 0.1356214 kilometers? 135621.4 What is 1/5 of a kilogram in grams? 200 Convert 0.830864 litres to millilitres. 830.864 What is 5/4 of a millennium in months? 15000 How many nanograms are there in 763386.3 kilograms? 763386300000000000 How many years are there in 19.8165 centuries? 1981.65 How many micrograms are there in fourty-eight fifths of a milligram? 9600 How many hours are there in 1/4 of a week? 42 How many hours are there in 9.478629 nanoseconds? 0.0000000000026329525 Convert 8.028903 millilitres to litres. 0.008028903 What is 806.5238ng in tonnes? 0.0000000000008065238 What is 6405.239 decades in centuries? 640.5239 How many millilitres are there in 99322.58 litres? 99322580 How many litres are there in 25.82906 millilitres? 0.02582906 Convert 628766.6 centimeters to millimeters. 6287666 What is 0.4011002 seconds in microseconds? 401100.2 What is 15202.14ms in microseconds? 15202140 Convert 225.5566 minutes to seconds. 13533.396 How many days are there in 10/7 of a week? 10 How many micrometers are there in seven eighths of a centimeter? 8750 What is 17/2 of a century in decades? 85 What is 2.252801 millennia in months? 27033.612 What is seven eighths of a minute in milliseconds? 52500 How many years are there in 0.8506323 months? 0.070886025 What is 9.478474 years in decades? 0.9478474 Convert 799925.3 kilograms to grams. 799925300 What is 1909.321 years in months? 22911.852 How many grams are there in 57/2 of a kilogram? 28500 What is five quarters of a hour in minutes? 75 How many decades are there in
{ "pile_set_name": "DM Mathematics" }
*2 + 22*m**2 + 2*m**3 to the form u*m + z*m**2 + h + j*m**3 and give z. 178 Express 744 - 614 + 5*y**2 + 1776 + 2*y as s*y**2 + o + z*y and give s. 5 Express 6*w**2 - 18 - 170*w + 30 + w**2 + 107*w - 21 in the form g*w + x*w**2 + k and give k. -9 Rearrange (-j**2 - 3 + 3)*((234 - 66 + 275)*(j + 0*j - 2*j) + (-27 + 4 - 6)*(-j + 3 - 3)) to the form o*j**3 + i + c*j + r*j**2 and give o. 414 Express 74*v**2 - 13 - 71*v**2 + v**3 + v**3 - 230*v + 14 as q*v + h*v**2 + l + y*v**3 and give y. 2 Express ((-2 + 2 + 2)*(3 - 4 + 3) + 3 - 2 + 0 + (-142 + 56 + 41)*(4 - 2 - 5) - 1 - 1 - 1)*(-117 + 117 - 49*i) as k*i + j and give k. -6713 Express -7*w**2 - 727 + 14860 - 10*w**2 + 16*w**2 in the form v*w + i*w**2 + a and give v. 0 Express -2 - 1 + 8 - l - 834*l**3 + 853*l**3 - 1 as n*l**3 + h*l + b + j*l**2 and give n. 19 Express 308*f**2 - 20672*f**3 - 306*f**2 + 20684*f**3 - f - 11 in the form b + d*f**2 + p*f**3 + t*f and give t. -1 Express 68*l**4 + 64*l**4 - 131*l**4 + l**2 + 65*l + 2*l**2 + 2*l**3 in the form v + w*l**4 + o*l + d*l**2 + g*l**3 and give o. 65 Express 3792*j + 2 - 1558*j + 851*j in the form z*j + m and give m. 2 Express (-1194*w**3 + 731*w**3 - 1049*w**3)*(-3*w + 2*w - w) + (-w - 4*w + w)*(-2*w**3 + 2*w**3 + w**3) as j + a*w**2 + n*w**3 + p*w**4 + q*w and give p. 3020 Express -d + 6*d - 2*d**2 - 38730*d**4 - 6*d**3 + 38731*d**4 in the form f*d**4 + b*d**3 + m*d**2 + h*d + p and give b. -6 Rearrange (-r**2 + 5*r**2 - 5*r**2)*(-24 + 2769*r + 151 - 2767*r)*(0*r + 2*r - 5 + 6) to u*r**3 + y*r**2 + m*r + h*r**4 + t and give y. -127 Rearrange -25 + 8*s + 13*s - 23*s to the form l + y*s and give l. -25 Express (-6*j + j - 2*j)*(791 - 386 + 1290) as n + l*j and give l. -11865 Express -2*v**4 - 37 + 88 + 39*v**2 - 50 + 4*v - 2*v**3 in the form y*v**2 + n + o*v**4 + u*v**3 + p*v and give p. 4 Rearrange -9*h + 159*h**2 - 26*h + 5*h + 33*h to j + k*h**2 + o*h and give k. 159 Rearrange (m**3 - m**3 - 2*m**3)*(2815*m + 66 - 19 - 48)*(-2 + 0 + 3)*(2 - 1 + 1) to v + u*m**3 + g*m**2 + b*m**4 + d*m and give u. 4 Rearrange -6*z + z - 27*z**2 - 10 + 32 - 65*z**2 - 24 to the form j + o*z**2 + g*z and give g. -5 Express 43*p**4 - 68*p**2 + 25*p**2 + 1132*p**3 - p - 572*p**3 - 567*p**3 - 45*p**4 in the form v*p**2 + u*p + h*p**4 + s*p**3 + o and give o. 0 Express -2275 - 2417 + 15087 - 3951 - x**3 - 2517 as w*x + s*x**3 + z + p*x**2 and give s. -1 Rearrange 3 - 6*y - 3 + 19 + 12*y - 19 + 8*y + 13*y - 16*y + (y + 2*y - 5*y)*(1 - 1 + 2) to t + f*y and give f. 7 Rearrange w - 5*w + 5*w + (-46 + 8 - 56 + (-2 + 1 + 0)*(-3 - 2 + 3))*(-2 + 2*w + 2) to the form k + z*w and give z. -183 Express 15 + 1697*r**3 + 3253*r**2 - 3255*r**2 - 10 - 5 + r as a + d*r**3 + y*r + f*r**2 and give y. 1 Express 992*a**3 + 3*a + 0 - a**4 + 4 - 988*a**3 + 2*a**2 as r + p*a**3 + c*a**2 + n*a + j*a**4 and give j. -1 Rearrange -t**4 - 4*t + 560*t**3 + 29224 - 29224 to the form q*t**3 + v*t**4 + g*t**2 + z + d*t and give q. 560 Rearrange s**2 + 0*s**2 - 4719*s + 4913*s + (-2*s**2 - 2*s**2 + 5*s**2)*(1 - 2 + 2)*(0 + 10 - 3) to g + q*s**2 + b*s and give g. 0 Rearrange (-2 + 13 + 1)*(703 - 703 - 67*i) to q*i + d and give q. -804 Express -2*l**3 - 9*l + 248524*l**4 - 248527*l**4 - 2 + 2*l**3 in the form o*l**2 + y*l**3 + g + w*l + u*l**4 and give w. -9 Express -7*o**3 + 1572 + 6*o**4 - 1547 - 10*o - o + 7*o + 6*o as n + f*o**4 + h*o**2 + j*o + x*o**3 and give x. -7 Express -7 + 7 - 3*n - 4*n**2 + (1 - 6 - 9 + 4 + 7 - 1 + (3 - 4 + 2)*(0 - 3 + 2))*(12*n - 12*n - 2*n**2) as u*n + s*n**2 + x and give s. 6 Express 2316*i**2 + 1180*i + 1182*i + 1176*i - 3538*i + (-i + 5 - 5)*(-2*i + i + 3*i) as z*i**2 + j*i + y and give y. 0 Express k + 0*k**3 - 967 + 307 - 3*k**3 + 4*k**3 in the form r*k**2 + q*k + p + j*k**3 and give q. 1 Rearrange -959*c + 5693*c + 3202*c + 26326*c to the form r + h*c and give h. 34262 Express 2217*h**2 + 95 - 2233*h**2 - 33 + 248 as d + a*h + u*h**2 and give u. -16 Rearrange -2403*j - 1460*j - 758*j to w*j + v and give w. -4621 Rearrange ((0 + 6 - 4)*(0 - 1 - 4) + 55 - 25 - 31)*(f - 2*f + 0*f) to the form q*f + k and give q. 11 Express 14*p - 15*p + 178*p**2 + 2 - 2*p**4 + 0*p in the form i*p**4 + k*p**3 + v*p**2 + o + u*p and give v. 178 Rearrange -2*h**3 - 1075*h**2 + 2177*h**2 - 3 - h - 1100*h**2 to f*h**3 + b*h + j + u*h**2 and give u. 2 Express 18 + 6*g**3 - 60 + 2*g**2 + 40 - 77*g as h*g + s*g**2 + r*g**3 + u and give h. -77 Express -7*z + 6*z + 11*z + 1470 - 10*z + z in the form i*z + q and give q. 1470 Express (3*v - 10*v + 3*v)*(419*v + 9 - 6 - 467*v) as l*v**2 + u*v + s and give l. 192 Express 6 + 231*o**2 - 2*o**3 + 19*o**3 - 9 + 2*o - 230*o**2 as j*o**3 + f*o**2 + h + w*o and give w. 2 Rearrange -2238*f - 21 - 2199*f - f**2 + 4340*f to the form r*f + y + x*f**2 and give r. -97 Rearrange 42929 - 19499 - 17654 - n to c*n + x and give x. 5776 Rearrange -86*b**3 - 219 - 217 + 646 - 4*b**2 - b + 3*b**3 - 211 to t + s*b**2 + r*b**3 + l*b and give l. -1 Rearrange 8*q**4 + 6 + 2*q - 10*q**4 - 3*q**2 - 57224*q**3 + 57222*q**3 to the form z*q**2 + l*q**4 + s + w*q**3 + i*q and give i. 2 Rearrange -12*u**3 - 88251232 + 13*u + 88251232 + u**2 + 0*u**2 to o + c*u**3 + d*u**2 + r*u and give d. 1 Express -1 - 2*u**2 - 18*u**3 - 106*u**4 + 107*u**4 - 19*u - 15*u - 15*u + 42*u as w*u**4 + y*u**2 + v*u**3 + k*u + m and give y. -2 Rearrange 313*k**4 + 20*k + 1863 - 315*k**4 - 1859 to the form t*k**3 + m*k**4 + a*k + y + x*k**2 and give a. 20 Express 117143 + 2*b**2 - 117148 - 4*b**3 + 14*b**3 - 12*b as c*b**3 + j*b + z + k*b**2 and give j. -12 Rearrange (3 - 3 + 2*f)*(-94*f - 2097 + 187*f - 48*f - 48*f) to u*f + b*f**2 + x and give b. -6 Rearrange 18598 + 3*b + b**2 - 39*b - 18601 to the form p + v*b + u*b**2 and give u. 1 Express 1 - 13 + 5 + 101*m - 1 + 1 - 2*m**3 as d*m**3 + k + c*m**2 + l*m and give k. -7 Express -2*r**3 - 7819 + 5*r**2 + 2609 + 7*r + 2605 - 17*r + 2606 in the form l*r**2 + v*r + k*r**3 + f and give v. -10 Rearrange 24325 - 2686*l**2 - 24325 - 2*l to q*l**2 + b + f*l and give b. 0 Express -15 - 7145*q**2 + 16 - 3*q + 7087*q**2 as p*q**2 + r*q + k and give k. 1 Express (-16*s**2 + 16*s**2 + 29241*s**3 - 20817*s**3)*(-2 + 4*s + 2) as m*s + y*s**2 + x + q*s**3 + z*s**4 and give z. 33696 Rearrange 268*m**4 + 2 + 56*m**2 + m + 266*m**4 - 2*m**3 - 522*m**4 to the form j + d*m**4 + k*m + n*m**2 + q*m**3 and give n. 56 Rearrange 2*n**3 + 4*n**3 - n**3 + (n - 4*n + n)*(26*n**2 - n**2 - 5*n**2) - 8*n**3 + 8*n + 20*n**3 - 8*n to g*n**3 + a*n + k + d*n**2 and give g. -23 Rearrange 40700 - 40700 + 18617*v**2 to s*v + q + l*v**2 and give s. 0 Express 2600*k - 7057*k - 11686*k - 1204*k in the form h*k + u and give h. -17347 Express -463*l**3 - 5*l**2 + 11123*l**3 + 4*l**2 - 2811*l**3 in the form j*l + y*l**3 + w*l**2 + s and give y. 7849 Express (176715*g**2 - 89510*g**2 - 78662*g**2)*(-4 + 4 - g) in the form k*g + i*g**3 + x*g**2 + m and give x. 0 Express (33 - 61 + 0)*(-1 + 1 - 3)*(-10 + 4 - 15*d**2 + 26*d**2) in the form r*d**2 + o*d + j and give j. -504 Rearrange -2*n**4 - 7*n**2 - 20*n**3 + 1201*n + 44*n**3 - 1196*n - 25*n**3 - 1 to the form z*n**3 + x + y*n + w*n**2 + m*n**4 and give x. -1 Rearrange (640 - 189 + 876)*(-w**4 - 2*w**2 + 2*w**2 + (0 - 1 + 0)*(2*w**4 + 0*w**4 - w**4)) to the form q + s*w + h*w**2 + f*w**3 + o*w**4 and give s. 0 Rearrange 10*j**3 + 6*j**3 - 8*j**3 + 2*j**3 - j**3 - 2*j**3 + (-4*j + 5*j + 0*j)*(-320*j + 320*j - 20*j**2) to y*j**2 + p + m*j**3 + b*j and give m. -13 Express -2 - 1707000*z**2 + 4*z - 6*z - 265*z**3 + 1706999*z**2 as t*z**2 + v + i*z**3 + c*z and give i. -265 Rearrange 5 + 22*q - 3*q**2 - 454*q**3 + 455*q**3 - 7*q**4 + 5*q**4 + 0*q**4 to the form z*q**2 + j*q**3 + t*q**4 + b*q + g and give j. 1 Express 5*x**3 + 1371*x**2 - 1370*x**2 - 7*x + 5 - 5 in the form r + n*x**2 + h*x**3 + s*x and give h. 5 Rearrange -9*n**3 + 2*n + 4667*n**4 + 2*n**2 + 4638*n**4 - 9234*n**4 to the form v*n**4 + b + l*n + d*n**3 + c*n**2 and give v. 71 Express 78*a**2 + 256 - 77*a**2 - 11*a - 202 in the form x + y*a + j*a**2 and give j. 1 Rearrange -2*l - 113*l**2 + 13 + l - 34 + 13 + 9 to the form n*l + r*l**2 + b and give r. -113 Rearrange -53*s + 1 - 5*s**4 + 0 + 107*s - 63*s**2 - 54*s to the form h*s + x*s**4 + g*s**2 + p + f*s**3 and give x. -5 Rearrang
{ "pile_set_name": "DM Mathematics" }
remainder when 2264 is divided by 507. 236 What is the remainder when 53199 is divided by 62? 3 Calculate the remainder when 10228 is divided by 24. 4 Calculate the remainder when 2212 is divided by 9. 7 Calculate the remainder when 107493 is divided by 1279. 57 What is the remainder when 24477 is divided by 120? 117 What is the remainder when 157 is divided by 86? 71 Calculate the remainder when 28812 is divided by 42. 0 Calculate the remainder when 2738 is divided by 304. 2 Calculate the remainder when 57184 is divided by 2199. 10 What is the remainder when 12636 is divided by 100? 36 What is the remainder when 222917 is divided by 22? 13 Calculate the remainder when 9653 is divided by 435. 83 Calculate the remainder when 690 is divided by 201. 87 What is the remainder when 366 is divided by 334? 32 What is the remainder when 42549 is divided by 54? 51 What is the remainder when 115157 is divided by 67? 51 What is the remainder when 11230 is divided by 1039? 840 What is the remainder when 3649 is divided by 3640? 9 Calculate the remainder when 7987 is divided by 348. 331 Calculate the remainder when 20701 is divided by 5145. 121 Calculate the remainder when 2171 is divided by 552. 515 What is the remainder when 46007 is divided by 6554? 129 What is the remainder when 21461 is divided by 275? 11 What is the remainder when 15175 is divided by 2519? 61 Calculate the remainder when 931 is divided by 271. 118 Calculate the remainder when 30548 is divided by 15217. 114 Calculate the remainder when 98055 is divided by 8. 7 What is the remainder when 2182 is divided by 219? 211 Calculate the remainder when 193630 is divided by 607. 604 Calculate the remainder when 13188 is divided by 53. 44 Calculate the remainder when 32546 is divided by 727. 558 What is the remainder when 682 is divided by 676? 6 Calculate the remainder when 7105 is divided by 1449. 1309 What is the remainder when 1411467 is divided by 470486? 9 What is the remainder when 70174 is divided by 117? 91 Calculate the remainder when 143681 is divided by 295. 16 What is the remainder when 19630 is divided by 1960? 30 What is the remainder when 1019 is divided by 172? 159 What is the remainder when 30361 is divided by 10117? 10 What is the remainder when 6190 is divided by 6? 4 What is the remainder when 4636 is divided by 514? 10 What is the remainder when 3546 is divided by 39? 36 Calculate the remainder when 24925 is divided by 24. 13 Calculate the remainder when 1253102 is divided by 136. 134 What is the remainder when 178334 is divided by 45? 44 Calculate the remainder when 185055 is divided by 69. 66 What is the remainder when 780 is divided by 67? 43 What is the remainder when 7561 is divided by 1256? 25 What is the remainder when 2929 is divided by 357? 73 What is the remainder when 18837 is divided by 18829? 8 What is the remainder when 4417 is divided by 96? 1 Calculate the remainder when 380892 is divided by 103. 101 What is the remainder when 16352 is divided by 411? 323 What is the remainder when 16334 is divided by 4081? 10 Calculate the remainder when 42877 is divided by 80. 77 What is the remainder when 5113 is divided by 631? 65 What is the remainder when 15624 is divided by 5207? 3 Calculate the remainder when 2130 is divided by 339. 96 Calculate the remainder when 70277 is divided by 53. 52 What is the remainder when 2662 is divided by 127? 122 What is the remainder when 58736 is divided by 19572? 20 Calculate the remainder when 3362 is divided by 48. 2 What is the remainder when 2127 is divided by 140? 27 Calculate the remainder when 3016292 is divided by 733. 730 What is the remainder when 12514 is divided by 516? 130 Calculate the remainder when 506653 is divided by 695. 693 What is the remainder when 1870 is divided by 283? 172 Calculate the remainder when 1388 is divided by 17. 11 What is the remainder when 514180 is divided by 102836? 0 Calculate the remainder when 17750 is divided by 20. 10 What is the remainder when 2160 is divided by 307? 11 What is the remainder when 14393 is divided by 552? 41 What is the remainder when 14631 is divided by 443? 12 What is the remainder when 1337 is divided by 49? 14 What is the remainder when 4659 is divided by 16? 3 What is the remainder when 1083 is divided by 599? 484 What is the remainder when 5542 is divided by 5538? 4 What is the remainder when 182413 is divided by 394? 385 What is the remainder when 35017 is divided by 111? 52 Calculate the remainder when 30738 is divided by 12. 6 What is the remainder when 22552 is divided by 3752? 40 Calculate the remainder when 4945254 is divided by 229. 228 Calculate the remainder when 16989 is divided by 404. 21 Calculate the remainder when 360354 is divided by 180168. 18 What is the remainder when 45648 is divided by 74? 64 Calculate the remainder when 16142 is divided by 6. 2 What is the remainder when 155217 is divided by 195? 192 Calculate the remainder when 3769 is divided by 746. 39 Calculate the remainder when 106471 is divided by 4835. 101 What is the remainder when 48091 is divided by 859? 846 What is the remainder when 31177 is divided by 57? 55 Calculate the remainder when 951485 is divided by 95. 60 Calculate the remainder when 2251 is divided by 309. 88 What is the remainder when 689462 is divided by 8? 6 Calculate the remainder when 808 is divided by 601. 207 What is the remainder when 18083 is divided by 38? 33 What is the remainder when 88070 is divided by 60? 50 Calculate the remainder when 7970 is divided by 228. 218 Calculate the remainder when 5296 is divided by 125. 46 What is the remainder when 8217 is divided by 2512? 681 What is the remainder when 5098 is divided by 41? 14 Calculate the remainder when 3117 is divided by 2980. 137 What is the remainder when 578930 is divided by 213? 209 What is the remainder when 3679 is divided by 26? 13 What is the remainder when 8786 is divided by 164? 94 What is the remainder when 1583 is divided by 1210? 373 Calculate the remainder when 27414 is divided by 9135. 9 Calculate the remainder when 49133 is divided by 170. 3 Calculate the remainder when 16157 is divided by 491. 445 What is the remainder when 66534 is divided by 724? 650 What is the remainder when 1638 is divided by 54? 18 Calculate the remainder when 5244 is divided by 125. 119 What is the remainder when 5168 is divided by 268? 76 What is the remainder when 6829 is divided by 1625? 329 What is the remainder when 31446 is divided by 183? 153 Calculate the remainder when 10598 is divided by 30. 8 Calculate the remainder when 197966 is divided by 53. 11 What is the remainder when 784 is divided by 494? 290 Calculate the remainder when 1666 is divided by 372. 178 Calculate the remainder when 22748 is divided by 446. 2 Calculate the remainder when 1202537 is divided by 474. 473 Calculate the remainder when 424549 is divided by 141. 139 What is the remainder when 10837 is divided by 1078? 57 Calculate the remainder when 1931 is divided by 183. 101 Calculate the remainder when 82512 is divided by 2845. 7 Calculate the remainder when 3425 is divided by 636. 245 What is the remainder when 6118 is divided by 18? 16 Calculate the remainder when 102020 is divided by 57. 47 Calculate the remainder when 442716 is divided by 170. 36 Calculate the remainder when 3983 is divided by 266. 259 What is the remainder when 77724 is divided by 70? 24 Calculate the remainder when 13453 is divided by 286. 11 Calculate the remainder when 7900 is divided by 66. 46 What is the remainder when 109550 is divided by 159? 158 Calculate the remainder when 26641 is divided by 13306. 29 Calculate the remainder when 81649 is divided by 307. 294 Calculate the remainder when 3645734 is divided by 145. 144 Calculate the remainder when 1439569 is divided by 230. 229 What is the remainder when 317952 is divided by 109? 108 What is the remainder when 599981 is divided by 73? 67 What is the remainder when 1382 is divided by 1330? 52 Calculate the remainder when 763793 is divided by 865. 863 Calculate the remainder when 133094 is divided by 11. 5 Calculate the remainder when 55105 is divided by 5492. 185 What is the remainder when 2759 is divided by 596? 375 What is the remainder when 2542 is divi
{ "pile_set_name": "DM Mathematics" }
/((-20)/12)) + q? 4 Let u = 5022 + 5794. What is the thousands digit of u? 0 Let u = -100 + 90. Let b be ((-10)/(-3))/(0 - u/165). Suppose t + b = 6*t. What is the units digit of t? 1 Let g(y) = 157*y + 49. Let t be 8/(-1) - 72/(-6). What is the tens digit of g(t)? 7 Let f = 74106 + -39617. What is the tens digit of f? 8 Let c = 12208 - 3809. What is the units digit of c? 9 Let j be (-28 - -25)*(-12095)/3. What is the units digit of (-14)/(-5)*j/82? 3 What is the ten thousands digit of ((4/14)/1)/((-138351420)/(-4323480) + -32)? 2 Suppose -4*v - 2*d - 8 = 0, 3*v + 5*d = 8*v + 40. Let q be v/(-26) - 168/(-91). What is the units digit of 49*(-4 + 3 + q)? 9 Let z(r) = r**3 + 8*r**2 + 9*r + 7. Let v be z(-7). Let f be 5 + -6 - 7*v. Suppose 3*s - 2*b + f - 246 = 0, 0 = 3*s + 4*b - 198. What is the tens digit of s? 6 Let h = 15097 + -10727. What is the hundreds digit of h? 3 What is the thousands digit of (43197/44 - 7)*4? 3 Suppose 46 = 2*j + a - 99, -50 = -j + 4*a. Let r be (-16)/(10/45 + j/(-324)). What is the units digit of 12/(-20) + r/(-20)? 9 Let s = -8 - -11. Let b be ((-2)/(-2) - s) + 1 + 1. What is the tens digit of (-2 + -1 - b)*-1 + 57? 6 Let w = -216 + 219. Suppose -4*b + 1 = -3, -9 = 3*h - 3*b. What is the tens digit of (-291)/h*(-1 - (-5)/w)? 9 Suppose 24*f - 45*f + 37317 = -11172. What is the thousands digit of f? 2 Suppose 4*x - 220 - 72 = -p, 0 = -3*p - 5*x + 862. What is the units digit of p? 4 Suppose 6*c + 9*c = 61845. Suppose 12*r - 19*r = -c. What is the hundreds digit of r? 5 Suppose 98*v - 61666 = -4*l + 97*v, 0 = 4*l - 5*v - 61654. What is the tens digit of l? 1 Let a(x) = 217*x**2 + 32*x - 35. What is the thousands digit of a(3)? 2 Let b = -12010 + 18421. What is the units digit of b? 1 Let p = 1036 + 307. What is the hundreds digit of p? 3 Suppose -2*n - u = n - 346, 0 = -3*u + 3. Let j = n - 4. What is the tens digit of j? 1 Let f(t) = 1574*t**2 - 4*t - 10. Let c(b) = 315*b**2 - b - 2. Let i(j) = -14*c(j) + 3*f(j). Let r be i(1). Suppose u + 52 = r. What is the units digit of u? 0 Let a(r) = -r**3 + 35*r**2 + 37*r + 144. Let p be a(33). Suppose -4*g + 1689 = -4*m - 1839, -4*g + p = m. What is the units digit of g? 5 What is the ten thousands digit of (-81)/((-99)/(-11)) + (-105723)/(-3)? 3 Let j(h) = -2*h**3 + 7*h**2 - 11*h - 75. What is the thousands digit of j(-15)? 8 Let s(n) = -230*n + 215*n + 0*n**2 + 29 - n**2. What is the tens digit of s(-11)? 7 Let b(t) = 13*t**2 + 5771*t + 0 - 5769*t - 5. Let w = 3 + -6. What is the hundreds digit of b(w)? 1 Let s(f) = 3*f**3 - 3*f**2 + 4*f - 2. Suppose 7*v = 9*v - 44. Suppose 0 = -2*p - 2*n - 2*n + v, 4*p = -4*n + 28. What is the units digit of s(p)? 4 Suppose z = -5*p + 7, 4*z - 6*p + 2*p + 92 = 0. Let t be (-73152)/(-324) - (-4)/z*-1. Suppose -4*h = -2*h - t. What is the units digit of h? 3 Let o = 19093 - -16248. What is the hundreds digit of o? 3 Let y(x) = 2*x**3 - 19*x**2 + x + 32. Let a be y(12). Suppose 3*l - o = a, 4*l - 1022 = o - 3*o. What is the units digit of l? 5 Let f(m) = m**3 - 43*m**2 - 99*m + 65. Let i be f(45). What is the units digit of -4 - 0 - 1 - i? 5 Let c = -2337 - -8599. What is the tens digit of c? 6 What is the units digit of (-291)/(2 + (-85)/41)? 7 Let h(t) be the third derivative of t**5/60 - t**4/12 + 103*t**3/6 + 2*t**2. What is the tens digit of h(26)? 2 Suppose -7*r - 267 = -4*r. Let p(k) = 3*k**2 + 7*k - 3. Let i be p(-9). Let s = r + i. What is the tens digit of s? 8 Let j = -229 + 373. Let w = j + -114. What is the units digit of w? 0 Suppose 3*d - 149 = -2*w + 826, -5*w + 2430 = 5*d. What is the units digit of w/(-92)*(-1088)/6? 2 Suppose 9 = -2*g - 3*i, g - 4*i - 2 = 21. Suppose g*h - 1502 = h - 2*z, 4*z = 4. What is the units digit of h? 0 Suppose -57*n - 57*n + 5687 = -42991. What is the hundreds digit of n? 4 Suppose -38*g = -g - 101935. Let p = g - 1470. What is the thousands digit of p? 1 Let g(l) = -l**2 - 8*l + 842. Suppose 2*q + 4 = 3*x, 6*x - 3*x - q = 2. What is the tens digit of g(x)? 4 Suppose 0 = 109*w - 63*w - 309902. What is the hundreds digit of w? 7 Let h = -1081 + 589. Let o = 191 - h. What is the units digit of o? 3 Suppose -4*b + 13 + 15 = 0. Suppose -6*t = t + b. What is the units digit of (-19)/(-1)*2 - (1 + t)? 8 Suppose -1387464 = -58*s - 17330. What is the thousands digit of s? 3 Suppose -31*q + 30*q = 2*k + 1478, 7422 = -5*q - 2*k. What is the hundreds digit of 2*3 - (q - (17 - 9))? 5 Suppose -2 - 6 = 2*i, -3*i = n. Suppose -n*g = -4*g - 6632. What is the units digit of g? 9 Let t(g) = g**2 - 10*g + 25. Suppose -w - 1 = 0, 5*w + 8 = 2*o - 11. Let s be t(o). Suppose -s*y = 3*y - 42. What is the units digit of y? 6 Suppose 2*v + 3*t = 6, 2*t = 5*v + 6*t - 8. Suppose v = -3*q - 5*k + 1212, -2*k = -0*k. What is the tens digit of q? 0 Let v be (-8)/(-6)*207/12. Let w(y) = y**3 - 21*y**2 - 20*y + 11. What is the tens digit of w(v)? 0 Suppose 6*l + 9 = 3*x + 3*l, 12 = 4*x - 5*l. Let i(g) = 15*g**3 - 7*g - 36 - 9*g**2 - 27*g**x + 13*g**3 - 4*g. What is the tens digit of i(11)? 8 Suppose 5*l = 5*z + 55, 0*l + 3*z - 31 = -5*l. Let n(x) = -x**2 + 9*x + 5. Let t be n(l). Suppose 3*i - t*i = -1050. What is the hundreds digit of i? 1 Suppose -727428 = 27*l - 79*l. What is the units digit of l? 9 Suppose 8*d + 1241 + 1991 = 0. Let j = d - -853. What is the units digit of j? 9 Suppose -2*a + 12 = 3*y - 1, -2*a = 5*y - 15. Suppose -7*c + 1320 = a*c. What is the hundreds digit of c? 1 Let j(r) = -79*r - 5. Let x(y) = -y. Let q(h) = -j(h) + 6*x(h). Let m be q(4). Suppose 12*g - 9*g - m = 0. What is the tens digit of g? 9 Let z(l) = -2*l**2 + 12*l. Let j be z(5). Suppose 0 = -j*p + 1957 + 83. What is the units digit of p? 4 Suppose -5*r - 3*y + 171 = 0, -r - 3*y + 22 = -17. Let n = r - 32. What is the tens digit of 95 - (n/(-2) - 0)*6? 9 Let w(j) = 49*j**2 + 10*j - 48*j**2 + 20 + 24. What is the units digit of w(-12)? 8 Suppose -3*b + 35 = 2*b. Let w(n) = -n**3 + 12*n**2 - 12*n - 22. What is the tens digit of w(b)? 3 What is the units digit of ((-136)/(-5))/(82/205)? 8 Let f be ((-342)/9)/(0 - (-2)/(-21)). Let n = f + -309. What is the tens digit of n? 9 Let y(v) be the first derivative of -v - 1/3*v**3 + 12 + 11/2*v**2. What is the tens digit of y(7)? 2 Suppose -56 + 14 = -3*a. Suppose -l - a = -4*f, -2 = 5*l + 5*f - 32. What is the units digit of l? 2 What is the tens digit of (222288/(-11))/(12/8 - 3) - 2? 7 Let k = 100 + 216. Suppose 4*s - 2*x = k + 28, -s + 5*x + 77 = 0. What is the units digit of s? 7 Let h(c) be the second derivative of c**4/12 + 7*c**3/3 + 7*c**2/2 + 9*c. Let d be h(-19). Let b = -10 + d. What is the units digit of b? 2 Let a(b) = -8*b**3 - 19*b**2 - 7*b - 84. What is the ten thousands digit of a(-16)? 2 Let i(c) = -148*c - 21. Suppose -418*h + 12 = -424*h. What is the hundreds digit of i(h)? 2 Suppose -5*m - r = -41964, m - 8396 = -45*r + 44*r. What is the thousands digit of m? 8 Let n be (-30)/(-3) - 5 - (1 - -1). Suppose -i + 5352 = n*h + 1335, h - 1339 = 2*i. What is the thousands digit of h? 1 Suppose -4*t - 2 = h, -t + 2 - 11 = -4*h. Suppose 3*k = -4*w - 264 + 21, 5*w - h*k + 321 = 0. Let c = -51 - w. What is the tens digit of c? 1 Suppose 93*m + 845 = 98*m. Suppose 2763 = -m*k + 178*k. What is the units digit of k? 7 Suppose 7349530 = 309*w - 1762880. What is the tens digit of w? 9 Let s(b) = -3*b**3 - 21*b**2 + 3*b - 40. What is the tens digit of s(-12)? 8 Let j be (-2 + 6/1)*(-853)/(-4). Let b = 1443 - j. What is the tens digit of b? 9 Suppose 0 = -6*q - 817 + 4351. Suppose q = 14*a - 195. What is the tens digit of a? 5 Let n = 81800 + -47712. What is the units digit of n? 8 Suppose 0 = 9*q - 10*q + 845. What is the hundreds digit of (-6)/(5/(-5)) + q + -7? 8 What is the tens digit of (69925/50)/(6 - (-227)/(-38))? 4 Let q(w) = -10*w**2 + 6 - w**3 - w**2 + 14*w**2 - 2*w**3 + 13*w + 2*w**3. What is the tens digit of q(-6)? 5 Let z(s) = -294*s + 96. Let p be z(-27). Suppose 23*q - p = 12643. What is the units digit of q? 9 Let b(q) = -q**2 - 13*q + 68. Let t be b(4). Suppose t = -20*w + 19*w + 117. What is the tens digit of w? 1 Suppose -3*h + 23*f = 28*f - 9820, 4*f = -3*h + 9815. Let g = -2025 + h. What is the units digit of g? 0 Suppose -4*l + 3*j + 133 = 0, 3*j - 26 - 89 = -4*l. Let p = -27
{ "pile_set_name": "DM Mathematics" }
, t*b - 8 = -j. Factor -2/5*u**4 + j*u**3 + 0*u - 2/5 + 4/5*u**2. -2*(u - 1)**2*(u + 1)**2/5 Let v(h) be the first derivative of 0*h**2 - 2/3*h**6 - 17 + 16/5*h**5 + 0*h + 56/3*h**3 + 19*h**4. Suppose v(k) = 0. Calculate k. -2, -1, 0, 7 Let r(m) = 21*m - 46*m + 52*m**2 - 562*m**2 - 345*m**3 - 70*m. Let v(u) = -57*u**3 - 85*u**2 - 16*u. Let d(a) = -6*r(a) + 35*v(a). Factor d(b). 5*b*(b + 1)*(15*b + 2) Find x, given that 82 + 2 + 16*x**5 - 56*x**3 - 623*x**2 + 667*x**2 - 292*x**3 - 64*x**4 + 268*x = 0. -3, -1/2, 1, 7 Suppose -70*m**3 - 412*m**2 + 1047*m**2 - 521*m**2 + 11 - 5*m**4 + 70*m - 354*m**2 + 234 = 0. Calculate m. -7, -1, 1 Let a(j) be the third derivative of -j**5/150 + j**4/3 + 44*j**3/15 + 743*j**2. Find s such that a(s) = 0. -2, 22 Let m(d) be the first derivative of -11/5*d**3 - 3/20*d**4 + 0*d + 0*d**2 + 78. Suppose m(y) = 0. Calculate y. -11, 0 Factor 1/2*r**4 - 75/2*r**2 - 37*r**3 + 0 + 0*r. r**2*(r - 75)*(r + 1)/2 Let j(v) = 6*v**2 + 8*v + 2. Let z(p) = -2*p**2 + p - 3. Let d(s) = j(s) + 4*z(s). Solve d(a) = 0. 1, 5 Let p(q) be the second derivative of q**6/360 - 7*q**5/60 + 49*q**4/24 - 55*q**3/6 + 136*q. Let a(t) be the second derivative of p(t). Solve a(i) = 0. 7 Let v be (-7998)/258 + (-867)/(-21). Suppose 0 + 30/7*i**2 - v*i = 0. What is i? 0, 12/5 Suppose -p - 5*z + 30 = 0, -5*p - 2*z + 0*z = -127. Suppose u = 3*g - 4, -24*g + p*g = u. What is y in -4*y - 3*y**3 - 13/2*y**g - 1/2 = 0? -1, -1/6 Suppose 5*q - y = 15, -16*q + 4*y = -12*q + 4. What is h in -q*h - 4*h - 34*h - 15*h**2 + 36*h**2 - 19*h**2 = 0? 0, 21 Suppose 7 = n + 3. Let o be ((-118)/(-3))/(152/12) + (-292)/2774. Determine t, given that -6*t**4 - t**n + o*t**4 - t**4 + 5*t**2 = 0. -1, 0, 1 Suppose 0 = -23*f - 762 + 877. Let l(b) be the second derivative of 0*b**3 + 1/35*b**f + 8*b + 0*b**2 + 0 + 1/21*b**4. Let l(g) = 0. Calculate g. -1, 0 Let g(s) be the third derivative of -s**7/315 - 2*s**6/45 + 56*s**5/45 - 64*s**4/9 - 111*s**2 + 5. Factor g(q). -2*q*(q - 4)**2*(q + 16)/3 Let f(m) be the first derivative of 1/9*m**3 - m**2 + 1/12*m**4 - 15 + 1/45*m**5 + 0*m. Let q(r) be the second derivative of f(r). Let q(w) = 0. Calculate w. -1, -1/2 Let n(g) = 3*g + 3. Let r be n(7). Factor -36*c + 11*c**3 - 27*c**3 - r*c**2 + 13*c**3. -3*c*(c + 2)*(c + 6) Let a = 115249 - 115233. What is x in -a*x**2 - 40/3*x - 4 - 8*x**3 - 4/3*x**4 = 0? -3, -1 Let j(g) be the second derivative of g**5/30 - 2*g**4/9 - 19*g**3/9 - 14*g**2/3 - 2248*g. Factor j(p). 2*(p - 7)*(p + 1)*(p + 2)/3 Let q(r) be the first derivative of 6/5*r**5 + 0*r + 0*r**2 + 0*r**4 - 1/3*r**6 - 8/3*r**3 + 62. Factor q(h). -2*h**2*(h - 2)**2*(h + 1) Let j = 842 - 1282. Let h be j/(-615) + 22/(-451). Determine c so that c**4 - h*c**3 - 1/3 - 2/3*c**2 + c - 1/3*c**5 = 0. -1, 1 Factor -5072 - 199*g**2 + 12*g**2 - g**3 - 4634 + 1057 - 8835*g. -(g + 1)*(g + 93)**2 Let m be (-1)/2*-4 + 12280/(-20). Let j = m + 616. Factor 2/5*l**j + 8/5*l + 18/5*l**2 - 12/5*l**3 - 24/5. 2*(l - 3)*(l - 2)**2*(l + 1)/5 Let b(s) be the first derivative of s**4/8 + s**3/3 - 799*s**2/4 - 4624*s + 3200. Find r such that b(r) = 0. -17, 32 Let y(u) = -u**3 + 13*u**2 + 2*u - 16. Let d be y(13). Factor -20 + 5*w**2 + 35*w - 40*w + d. 5*(w - 2)*(w + 1) Factor 88/3*l**2 - 1142/3*l - 26/3. 2*(l - 13)*(44*l + 1)/3 Factor -1/2*p**2 - 13 - 15/2*p. -(p + 2)*(p + 13)/2 Let -64/11*z**2 - 2/11*z**4 + 20/11*z**3 + 76/11*z - 30/11 = 0. Calculate z. 1, 3, 5 Let q(b) be the second derivative of -b**4/18 + 20*b**3/9 + 100*b**2 + 1123*b. Factor q(f). -2*(f - 30)*(f + 10)/3 Let k(j) be the second derivative of j**5/75 + 5*j**4/8 - 19*j**3/30 - 47*j**2/2 - 3*j + 15. Let h(l) be the first derivative of k(l). Factor h(a). (a + 19)*(4*a - 1)/5 Factor 4*l**4 - 36*l**2 + 0*l + 432/5 + 4*l**3 - 4/5*l**5. -4*(l - 3)**3*(l + 2)**2/5 Let -498/11*x**2 + 2/11*x**3 + 0 + 0*x = 0. What is x? 0, 249 Let j be 0/((-897)/((-1482)/(-38))). Factor -24/17*t + 32/17 + j*t**2 + 2/17*t**3. 2*(t - 2)**2*(t + 4)/17 Let h(t) be the first derivative of 2*t**6/21 + 8*t**5/7 + 37*t**4/7 + 80*t**3/7 + 72*t**2/7 + 878. Determine b so that h(b) = 0. -3, -2, 0 Let o be (-12)/(-36) + 3/(-9). Suppose 0 = 3*q + 4*z - 26, o*z = q - z + 3. Determine h, given that 0 + 1/5*h**q + 1/5*h = 0. -1, 0 Let q(r) be the third derivative of 0*r + 1/175*r**7 + 4 - 2*r**2 + 0*r**6 - 7/50*r**5 - 3/10*r**4 + 0*r**3. Factor q(g). 6*g*(g - 3)*(g + 1)*(g + 2)/5 Let b = 22799 + -159589/7. Factor 6/7 + b*r - 2/7*r**2. -2*(r - 3)*(r + 1)/7 Let t(n) be the first derivative of 0*n + 0*n**3 + 0*n**2 + 98 + 1/22*n**4 + 2/55*n**5. Determine d, given that t(d) = 0. -1, 0 Solve 0 - 54/7*t**3 + 48/7*t**2 - 3/7*t**4 + 3/7*t**5 + 96/7*t = 0. -4, -1, 0, 2, 4 Let p(g) = -3*g**3 - 1254*g**2 + 1257*g + 14. Let m(t) = 8*t**3 + 3760*t**2 - 3768*t - 40. Let n(r) = -7*m(r) - 20*p(r). Suppose n(b) = 0. What is b? 0, 1, 309 Suppose -3*c + 324 = i, 149 + 283 = 4*c + 4*i. Let j = c - 92. Factor 10*f**3 - 3*f**2 + 9 - 3*f**4 - j*f**3 - 9. -3*f**2*(f + 1)**2 Let n(b) be the second derivative of 8*b**7/189 - 128*b**6/45 + 37*b**5/9 + 143*b**4/27 - 62*b**3/9 - 94*b**2/9 - 713*b. Find u such that n(u) = 0. -1/2, 1, 47 Let x(s) = s**3 - 12*s**2 - 26*s. Let d(i) = i - 1. Let v(j) = -2*d(j) + x(j). Let c be v(14). Factor 5*y**3 + 6 - 30*y**c - 19 + 40*y + 5*y**2 - 7. 5*(y - 2)**2*(y - 1) Suppose -4*w + 5*m - 368 + 350 = 0, 12*w + 5*m = 66. Find l, given that 0 - 2/3*l + 4/5*l**2 - 2/15*l**w = 0. 0, 1, 5 Suppose -3*k + 9 = 4*g - 6*g, -2*k + 6 = 5*g. Suppose -5974*n**2 - 3746*n**2 + 17505*n - 5*n**4 - 360*n**k - 524880 - 134145*n = 0. What is n? -18 Let b(a) be the second derivative of -19*a + 0 - 1/10*a**5 + 0*a**3 + 5/2*a**2 + 1/60*a**6 + 1/6*a**4. Let f(v) be the first derivative of b(v). Factor f(x). 2*x*(x - 2)*(x - 1) Let v(s) be the third derivative of s**5/60 + 5*s**4/12 + 61*s**3/6 - 111*s**2. Let d(m) = -4*m**2 - 34*m - 182. Let x(a) = -4*d(a) - 14*v(a). Factor x(w). 2*(w - 9)*(w + 7) Let l(a) be the third derivative of a**7/504 + 25*a**6/144 + a**5 + a**4/24 - 11*a**3/3 + 68*a**2. Let j(q) be the second derivative of l(q). Factor j(k). 5*(k + 1)*(k + 24) Factor -587528/7 - 2/7*f**2 - 2168/7*f. -2*(f + 542)**2/7 Let q(y) be the second derivative of -y**5/240 + 5*y**4/16 - 29*y**3/24 + 56*y**2 + 199*y. Let x(j) be the first derivative of q(j). Factor x(k). -(k - 29)*(k - 1)/4 Let v = 683/2 + -341. Let j(a) be the first derivative of 1/18*a**6 + v*a**2 + 2/9*a**3 + 0*a**5 - 2/3*a - 1/3*a**4 + 7. Suppose j(d) = 0. What is d? -2, -1, 1 Factor 2*n**2 - 6*n**2 - 90*n - 74*n + 2765 - 2061 + 4*n. -4*(n - 4)*(n + 44) Find n such that 2/13*n**5 - 90/13*n**2 + 0 + 14*n**3 + 0*n - 94/13*n**4 = 0. 0, 1, 45 Suppose 2*u - 4*o = 3*u + 40, -u - o = 46. Let t = 48 + u. Determine z so that -94*z**4 + 3*z**2 + z + t*z + 3*z**3 + 95*z**4 = 0. -1, 0 Let y(z) be the second derivative of z**5/5 + 115*z**4/3 + 76*z**3 - 76*z - 3. Factor y(o). 4*o*(o + 1)*(o + 114) Suppose -3*s = -6 - 3. Suppose 3*d = -5*x - d + s, 12 = -4*d. Factor -3*f + 3*f - 6 - x*f**3 + 6*f + 3*f. -3*(f - 1)**2*(f + 2) Let d(s) = -20*s**3 - 75*s**2 - 130*s + 15. Let u(n) = n**3 - 1. Let j(c) = d(c) + 15*u(c). Let j(z) = 0. What is z? -13, -2, 0 Factor -10*b**3 + 8*b**3 + 4*b**4 + 19*b**3 - 48*b**2 + 10*b**2 - 3*b**4. b**2*(b - 2)*(b + 19) Let q be ((-308)/(-176))/((-1309)/(-136)) - 24/(-110). Suppose -6*l**4 + 0 + 128/5*l**2 - 96/5*l**3 + 0*l - q*l**5 = 0. Calculate l. -8, 0, 1 Let o(z) be the second derivative of z**6/40 - 45*z**5/16 + 219*z**4/16 - 217*z**3/8 + 27*z**2 + 112*z - 1. Factor o(y). 3*(y - 72)*(y - 1)**3/4 Let n(w) = -135*w - 30. Let s be n(-4). What is h in 10 - s*h - 458*h**3 + 830*h - 212*h**2 - 168*h**4 - 18*h**5 - 74 = 0? -4, -2, 1/3 Let k(l) be the first derivative of l**7/126 - l**6/15 + 8*l**4/9 + 103*l - 22. Let o(c) be the first derivative of k(c). Suppose o(u) = 0. Calculate u. -2, 0, 4 Let z be (2/8)/(793/8 + -3). Let s = 29216/2307 + z. Let 14/3*b**3 + s*b**2 - 8/3 + 16/3*b = 0. What is b? -2, -1, 2/7 Let v be (-570)/(-18) + 4/(-6). Let n = v + -23. Solve -22*p + n*p**2 + 18*p - 10*p**2 = 0 for p. -2, 0 What is u in -7*u**2 + 163*u**4 + 18*u**3 - 10*u**3 + 15*u**2 - 161*u**4 = 0? -2, 0 Let i(y) = -y**3 + 31*y**2 - 132*y + 52. Let l be i(26). Let q(o) be the second
{ "pile_set_name": "DM Mathematics" }
9*m**3 - 668*m**2 - 1003*m**2 + 55*m**4 wrt m. 1320*m - 114 Let t(s) be the first derivative of s**6/3 + 241*s**5/5 - 258*s**3 - 4311. What is the third derivative of t(h) wrt h? 120*h**2 + 5784*h Suppose -3*w + 13 = 6*g - 4*g, 4*g - 4*w = -4. Find the second derivative of -2 + 2 + p**3 - 2*p**3 + 74*p + 2*p**g wrt p. -6*p + 4 Let v(d) be the third derivative of -179*d**5/10 - 1561*d**3/6 - 3295*d**2. Find the first derivative of v(u) wrt u. -2148*u Let p = -672 + 674. Find the third derivative of 12*r**4 - 87*r**2 - 12*r**4 - 68*r**p - 129*r**5 wrt r. -7740*r**2 Let g(r) be the third derivative of -5*r**6/24 + r**5/2 + r**4/4 + 91*r**3/6 + 6*r**2 - 29*r + 2. Find the second derivative of g(c) wrt c. -150*c + 60 Let i be (-39)/(-12)*(17 + 4/(-4)). What is the derivative of -78*q - i + 39 - 6 wrt q? -78 Let s be (-2139)/(-9) + (-2)/3. Find the first derivative of 243*w**2 + 37 - 483*w**2 + 16*w + s*w**2 + 25*w wrt w. -6*w + 41 Let m = 289 - 284. Let g(f) be the second derivative of 0*f**4 + 31/30*f**6 + 5/3*f**3 + 0*f**2 + 0 + 32*f + 0*f**m. Find the second derivative of g(h) wrt h. 372*h**2 Let l be 100/(-40)*2/(-1). Find the second derivative of -17*q - 8*q**4 + q + 3*q**l - q**5 wrt q. 40*q**3 - 96*q**2 What is the first derivative of -b**3 - 64958*b + 1523 + b**3 + 64958*b - 1887*b**4 wrt b? -7548*b**3 Let o(f) be the second derivative of -33*f**5/20 - f**3/6 - 7*f**2/2 + 9*f + 20. What is the first derivative of o(w) wrt w? -99*w**2 - 1 Find the second derivative of 337*f - 9370*f**2 - 1457*f - 362*f + 10153*f**2 wrt f. 1566 Differentiate -632*o + 632*o + 1621 + 9654 - 1666 + 10587*o**3 wrt o. 31761*o**2 Let d be (-2 - (1 - -1))*297/(-132). Let z = -45 - -65. What is the first derivative of -d*o - 7*o + 9 + 5*o + z*o wrt o? 9 Find the first derivative of 296*r**2 - 818 + 64*r**3 + 495*r**3 + 553*r**3 - 296*r**2 wrt r. 3336*r**2 Let o(m) = 32*m**2 - 5*m + 37. Let g = -70 - -21. Let w = -54 - g. Let a(c) = 48*c**2 - 7*c + 56. Let d(t) = w*a(t) + 7*o(t). Differentiate d(r) wrt r. -32*r Let j(n) = -129*n**3 + 4*n**2 - 5*n + 1563. Let c(b) = 262*b**3 - 9*b**2 + 11*b - 3128. Let y(v) = -4*c(v) - 9*j(v). Differentiate y(h) with respect to h. 339*h**2 + 1 Let a be (-4)/12 - 7/(-6)*2. What is the second derivative of 13*c**3 + 202 - 74 - 2*c - 90 + c + a*c**4 wrt c? 24*c**2 + 78*c Suppose -39*t = -56*t + 34. Let j(d) = -2*d - 5. Let q be j(-4). Find the third derivative of -5*r**2 + 9*r**2 - 11*r**q + 13*r**2 - 4*r**t wrt r. -66 Let j(h) be the first derivative of 52*h**6/15 + 21*h**2/2 - 45*h + 53. Let n(r) be the first derivative of j(r). Find the first derivative of n(z) wrt z. 416*z**3 Find the third derivative of -154*v + 37*v**5 + 33*v**5 + 108*v - 9*v**3 + 44*v**2 + 34*v**5 - 97*v**5 - 7*v**4 wrt v. 420*v**2 - 168*v - 54 Let a = -121 + 125. What is the second derivative of -43*w**4 + 8 + 2*w**3 + 2*w + 24*w**a + 21*w**4 wrt w? 24*w**2 + 12*w Let q(r) = 0 - 2146*r**2 - 56*r**3 + 2153*r**2 + 2. Let h(p) = 223*p**3 - 28*p**2 - 9. Let v(t) = -2*h(t) - 9*q(t). What is the third derivative of v(z) wrt z? 348 What is the third derivative of 69*i - 223*i + 154*i - 1861*i**4 + 2518*i**2 wrt i? -44664*i Suppose 10 = 5*y, 0*b = -5*b - 2*y + 24. Find the third derivative of 80*n**2 + 73*n**2 - 4 - 147*n**2 + 25*n**b wrt n. 600*n Let p(w) = 211*w**3 + 5*w**2 + 22*w + 4. Let y(j) = 214*j**3 + 7*j**2 + 24*j + 4. Let z(c) = -4*p(c) + 3*y(c). Find the second derivative of z(u) wrt u. -1212*u + 2 Let z(q) be the third derivative of 113*q**5/30 + q**4/24 + 595*q**3/6 + 104*q**2. What is the first derivative of z(g) wrt g? 452*g + 1 Let q be ((-6)/(-8))/(6/32). What is the second derivative of -68*h**3 - q*h**4 + 75 + 85*h**3 - 4*h + 3*h wrt h? -48*h**2 + 102*h Let r be (4/3 + 0)/((-20)/(-45)). Suppose -3*p = -4*p + 2*z + 6, -r*p - 3*z = 0. Find the third derivative of -18*y**4 + 16*y**p + y**4 + 7*y**4 wrt y. -240*y Let d(p) = p**2 - 6*p + 8. Let v be d(5). What is the second derivative of -553 + 9*c - 2*c**v + 27*c**3 + c**5 + 550 wrt c? 20*c**3 + 150*c Let x(t) be the second derivative of 0*t**5 + 0*t**3 + 53/2*t**2 - 2 - 30*t - 16/15*t**6 + 0*t**4. What is the first derivative of x(a) wrt a? -128*a**3 Let g(v) be the third derivative of 163*v**7/70 - v**6/40 - v**5/30 + 1117*v**3/6 - 23*v**2 - 10. Find the third derivative of g(r) wrt r. 11736*r - 18 Let m(i) = -i**3 + 2*i**2 + 46*i - 9093. Let d(k) = -2*k**3 + 9*k**2 + 93*k - 18181. Let x(c) = 2*d(c) - 5*m(c). What is the first derivative of x(z) wrt z? 3*z**2 + 16*z - 44 What is the third derivative of 159*w**4 + 62804*w**3 - 2*w**6 - 62804*w**3 + 3577*w**2 - 649*w**4 wrt w? -240*w**3 - 11760*w Suppose 4*j - 1515 = -5*w + 15343, w - 5*j - 3360 = 0. What is the second derivative of -8*p**2 - 73*p - 43*p**2 + 3370 - w wrt p? -102 What is the derivative of -55 - 190123*i**3 + 318 + 189998*i**3 wrt i? -375*i**2 Let v(w) be the first derivative of -1040*w**3/3 + 36*w**2 - 1038. What is the second derivative of v(a) wrt a? -2080 Differentiate -94 - 116*b**3 + 284*b**3 - 1004 + 50*b**3 + 501*b**3 wrt b. 2157*b**2 Let m(i) = -111*i**2 - 2*i + 1106. Let f(k) = -112*k**2 - 2*k + 1118. Let j(g) = 4*f(g) - 3*m(g). What is the second derivative of j(w) wrt w? -230 Let o(f) = -2*f**4 + 3*f**2 + 12*f - 1. Let w(u) = -2307*u**4 - 15*u**2 - 550*u + 6. Let l(p) = 5*o(p) + w(p). Find the second derivative of l(m) wrt m. -27804*m**2 Find the first derivative of -2807*l - 911*l - 851 - 57 + 6591 + 678*l wrt l. -3040 Let o(m) be the third derivative of -2201*m**4/12 - 1594*m**3/3 - 4682*m**2. Find the first derivative of o(t) wrt t. -4402 Let f be (1 - (4 + -5)*2) + -1. Suppose -2*g = -3*v + 28, 0 = -5*v - 3*g + 6*g + 46. What is the third derivative of -2*c**6 - c**2 - 4*c**f - v*c**2 wrt c? -240*c**3 Let m(s) be the first derivative of -587*s**4 - 3685*s + 1235. Differentiate m(y) with respect to y. -7044*y**2 Find the third derivative of 13*t**3 - 12 - 67*t**3 + 16*t**2 - 2739*t**6 - t**4 + 1377*t**6 + 1366*t**6 wrt t. 480*t**3 - 24*t - 324 Let i(z) = -z - 1. Suppose -5*o = -4*h - 11, -5*o + 1 + 2 = -2*h. Let x(d) = -29*d + 71. Let a(c) = o*x(c) - 4*i(c). What is the derivative of a(m) wrt m? 33 Let p(j) = -1085*j - 609. Let u(s) = 1070*s + 611. Let d(w) = 3*p(w) + 4*u(w). What is the derivative of d(t) wrt t? 1025 Find the second derivative of 386100 - 3178*b**2 - 3184*b**2 + 9392*b - 386100 - 2621*b wrt b. -12724 Let f(n) = n - 22*n**2 - 5 + 2 - 6 - 10*n - 10*n**4. Let q(s) = 5*s**4 + 11*s**2 + 4*s + 4. Let i(o) = 4*f(o) + 9*q(o). Find the third derivative of i(b) wrt b. 120*b What is the second derivative of 20695*a**2 - 7517*a - 10345*a**2 + 2241*a**3 - 10352*a**2 wrt a? 13446*a - 4 Let p(r) = -708*r**3 - 11*r**2 + 17234*r. Let j(l) = 353*l**3 + 5*l**2 - 8616*l. Let o(q) = 7*j(q) + 3*p(q). Find the second derivative of o(h) wrt h. 2082*h + 4 Let l(p) = -3*p**3. Let t(b) = -9214*b**5 + 36*b**3 - 444*b**2 - 4*b + 2. Let a(o) = 12*l(o) + t(o). What is the third derivative of a(r) wrt r? -552840*r**2 Let b(r) be the third derivative of -2497*r**7/210 + 7*r**5/30 - r**4/8 - 2*r**3/3 + 13*r**2 + 111*r. Find the third derivative of b(j) wrt j. -59928*j Let n be 2016/(-90) + 4/10. Let r = n + 25. Find the third derivative of r*b**2 - 19*b**2 - 7*b**2 + 9*b**5 wrt b. 540*b**2 Let y(z) = 6*z - 3*z + 24 - 19 + z**2. Let t be y(-5). Differentiate -7 + 19 - t*m**4 - 34*m**4 + 16*m**4 with respect to m. -132*m**3 Suppose -3*l - 5633 = 2347. Let b = l + 4750. What is the third derivative of 22*n**6 - 2090*n**5 - 16*n**2 + b*n**5 wrt n? 2640*n**3 What is the first derivative of -10*u + 1731*u + 1196 + 381*u wrt u? 2102 Let z be (0 - 2/(-8)) + 254/8. Find the second derivative of 31*d**3 - 2*d**4 + 9*d - z*d**3 + 7 - 10 - 2*d wrt d. -24*d**2 - 6*d Let b(q) be the second derivative of -1 - 7/12*q**4 - 1/3*q**3 - 1/10*q**5 + q**2 + 2*q. Find the second derivative of b(p) wrt p. -12*p - 14 Let k = -564 - -578. Let m(w) = w**3 + 5*w**2 - 8*w - 7. Let z be m(-6). What is the second derivative of -z*p + k*p + 27*p**2 - 6*p wrt p? 54 Let v(h) be the second derivative of 107*h**4/4 + 807*h**2/2 - 7*h + 5. Differentiate v(w) with respect to w. 642*w Let c(s) = s**2 - 12*s + 25. Let f be c(9). Let y be (8/(-6))/(f/3). What is the third deriv
{ "pile_set_name": "DM Mathematics" }
st ten. 90 Round 0.72295 to two decimal places. 0.72 Round 128300 to the nearest ten thousand. 130000 What is 0.0004125 rounded to 5 decimal places? 0.00041 What is 914 rounded to the nearest 10? 910 What is -77.27 rounded to zero decimal places? -77 Round -1939 to the nearest 10. -1940 Round 0.000000062 to seven dps. 0.0000001 Round -0.00046157 to four decimal places. -0.0005 Round 550000 to the nearest one million. 1000000 Round 0.023076 to 4 decimal places. 0.0231 Round 6.3559 to one decimal place. 6.4 What is -0.00002899 rounded to six decimal places? -0.000029 What is -2.29 rounded to the nearest integer? -2 What is 0.04078 rounded to 3 decimal places? 0.041 What is 0.00004425 rounded to five dps? 0.00004 Round -0.000009027 to 6 dps. -0.000009 Round 4469400 to the nearest 1000000. 4000000 What is -0.01246 rounded to 3 decimal places? -0.012 Round -0.00053849 to 4 dps. -0.0005 Round -8150000 to the nearest one million. -8000000 What is -2.275 rounded to the nearest integer? -2 Round -157.067 to the nearest ten. -160 What is -0.000000331 rounded to seven dps? -0.0000003 What is 0.002931 rounded to 4 dps? 0.0029 What is -224000 rounded to the nearest one hundred thousand? -200000 What is -0.002291 rounded to four decimal places? -0.0023 Round -0.000019564 to 6 decimal places. -0.00002 What is -0.000140638 rounded to six decimal places? -0.000141 What is -5.63 rounded to the nearest integer? -6 What is -0.03462 rounded to two decimal places? -0.03 Round 71860 to the nearest 1000. 72000 What is 0.025846 rounded to 3 dps? 0.026 What is -0.0806 rounded to two decimal places? -0.08 Round -0.0001849 to five decimal places. -0.00018 What is -108.492 rounded to the nearest ten? -110 What is 6417000 rounded to the nearest 1000000? 6000000 Round 3695.8 to the nearest 1000. 4000 What is -2393 rounded to the nearest one hundred? -2400 What is -372890000 rounded to the nearest 1000000? -373000000 What is 0.000152221 rounded to five dps? 0.00015 What is 0.00054259 rounded to four dps? 0.0005 What is 501970 rounded to the nearest 1000? 502000 Round 347.54 to the nearest ten. 350 Round 0.4826 to two decimal places. 0.48 What is 0.01362 rounded to three dps? 0.014 Round -44400 to the nearest one thousand. -44000 What is 0.00000010116 rounded to 7 dps? 0.0000001 Round -0.0011706 to five dps. -0.00117 Round -24320 to the nearest one thousand. -24000 Round 1328700 to the nearest 1000000. 1000000 Round -0.010441 to 3 dps. -0.01 Round 76542 to the nearest one thousand. 77000 What is 4318300 rounded to the nearest 10000? 4320000 Round 0.0000001927 to seven dps. 0.0000002 What is -0.5276 rounded to 2 decimal places? -0.53 What is -8825.4 rounded to the nearest 100? -8800 Round 0.00002307 to 7 dps. 0.0000231 Round 0.0000143106 to seven decimal places. 0.0000143 What is -349700000 rounded to the nearest 1000000? -350000000 What is -0.0000436 rounded to 6 decimal places? -0.000044 Round -339850 to the nearest 10000. -340000 Round -0.000000281 to 7 dps. -0.0000003 What is -0.000011 rounded to five decimal places? -0.00001 What is 0.00000244 rounded to 6 decimal places? 0.000002 Round -13790000 to the nearest one million. -14000000 Round -825.8 to the nearest ten. -830 What is -0.001395 rounded to 3 decimal places? -0.001 What is 0.000006437 rounded to seven dps? 0.0000064 Round 0.004338 to 4 decimal places. 0.0043 Round 171.87 to 0 dps. 172 Round -0.000003271 to 6 decimal places. -0.000003 Round -24510000 to the nearest one million. -25000000 Round 4.545 to one dp. 4.5 Round -12524.5 to the nearest 1000. -13000 Round -164000 to the nearest one thousand. -164000 Round -12544 to the nearest one thousand. -13000 What is 57245 rounded to the nearest one thousand? 57000 What is -16253 rounded to the nearest 1000? -16000 What is -41.602 rounded to the nearest integer? -42 What is -16.29 rounded to the nearest 10? -20 Round -217010 to the nearest ten thousand. -220000 What is 2309700 rounded to the nearest ten thousand? 2310000 What is 37522000 rounded to the nearest 100000? 37500000 What is 0.00045335 rounded to six decimal places? 0.000453 What is -0.00044965 rounded to four dps? -0.0004 What is 0.01117 rounded to 4 dps? 0.0112 Round 0.000026 to six decimal places. 0.000026 What is -0.000001179 rounded to 6 dps? -0.000001 Round -0.0725 to 2 dps. -0.07 What is -0.039147 rounded to 2 dps? -0.04 What is -0.0000326 rounded to five decimal places? -0.00003 What is -0.1163 rounded to 3 decimal places? -0.116 What is -20700 rounded to the nearest 100000? 0 What is -15140600 rounded to the nearest one million? -15000000 What is 0.000003784 rounded to seven decimal places? 0.0000038 What is 0.01016 rounded to three decimal places? 0.01 Round 0.000082171 to 6 dps. 0.000082 What is 0.0024968 rounded to five decimal places? 0.0025 What is 0.018857 rounded to 3 decimal places? 0.019 What is 0.04788 rounded to three decimal places? 0.048 What is 4.52 rounded to 1 decimal place? 4.5 What is 0.000028024 rounded to 7 dps? 0.000028 What is -0.16146 rounded to 2 decimal places? -0.16 What is -0.008976 rounded to four decimal places? -0.009 Round -75737000 to the nearest 1000000. -76000000 Round 4.696 to one dp. 4.7 What is -3020 rounded to the nearest one thousand? -3000 What is -284.5 rounded to the nearest 10? -280 What is -26500000 rounded to the nearest 1000000? -27000000 Round -64971000 to the nearest one million. -65000000 Round -0.000001608 to six decimal places. -0.000002 What is -0.0007519 rounded to four dps? -0.0008 What is -0.9689 rounded to two dps? -0.97 Round -19411000 to the nearest 1000000. -19000000 Round -41.93 to 0 decimal places. -42 Round 0.57851 to two dps. 0.58 Round -242.64 to the nearest 100. -200 Round -30425000 to the nearest one million. -30000000 Round 96.9 to zero decimal places. 97 Round -0.000040265 to 7 decimal places. -0.0000403 What is -0.0000677 rounded to five dps? -0.00007 What is 5314900 rounded to the nearest ten thousand? 5310000 What is -7370000 rounded to the nearest one hundred thousand? -7400000 Round -0.0003086 to five decimal places. -0.00031 Round 4.986 to one dp. 5 What is 0.0000467 rounded to 5 decimal places? 0.00005 What is 0.000027769 rounded to six decimal places? 0.000028 What is 75.83 rounded to the nearest 10? 80 Round 276430 to the nearest one thousand. 276000 What is 15.093 rounded to one decimal place? 15.1 What is -30.4368 rounded to the nearest integer? -30 Round 0.0008269 to 4 decimal places. 0.0008 What is 3260000 rounded to the nearest one million? 3000000 What is -1.374 rounded to one decimal place? -1.4 Round 0.11567 to two dps. 0.12 What is -0.000001279 rounded to seven dps? -0.0000013 What is -0.0072 rounded to 2 decimal places? -0.01 What is 0.00003913 rounded to 6 decimal places? 0.000039 What is -13220000 rounded to the nearest one hundred thousand? -13200000 Round -966300 to the nearest one hundred thousand. -1000000 Round 7.0907 to the nearest integer. 7 Round -0.00001028 to 7 decimal places. -0.0000103 Round 4015 to the nearest 100. 4000 What is -0.00025258 rounded to 4 decimal places? -0.0003 What is -0.00011013 rounded to 6 decimal places? -0.00011 What is 0.00006717 rounded to five decimal places? 0.00007 Round 606330000 to the nearest 1000000. 606000000 What is -99.3 rounded to the nearest 10? -100 What is 0.000005407 rounded to 7 dps? 0.0000054 Round -0.000005552 to seven dps. -0.0000056 Round 0.000005122 to 6 decimal places. 0.000005 What is -0.00010667 rounded to six dps? -0.000107 What is 108444000 rounded to the nearest one million? 108000000 Round -0.0001431 to 4 dps. -0.0001 Round -14040000 to the nearest 1000000. -14000000 Round 0.0031196 to 3 dps. 0.003 Round 0.00007624 to 4 decimal places. 0.0001 Round -0.000000241 to seven dps. -0.0000002 Round 1.068 to 0 decimal places. 1 What is 2545900 rounded to the nearest 100000? 2500000 What is -0.00000123 rounded to 7 dps? -0.0000012 What is 33810000 rounded to the nearest 100000? 33800000 Round -0.002916 to four decimal places. -0.0029 Round -215.169 to the nearest ten. -220 Round -0.000005121 to six decimal places. -0.000005 Round -21.31 to the nearest integer. -21 What is -3.1131 rounded to one dp? -3.1 Round 0.000012847 to 7 dps. 0.0000128 Round -0.0017
{ "pile_set_name": "DM Mathematics" }
3*n, 5*p = -3*n - 27. Give q(p). 2 Suppose 9*z - 13 = -4*z. Let h(v) = -v**3 + 2*v**2 - 2*v + 1. Give h(z). 0 Let l(g) be the third derivative of g**5/15 - g**4/12 - g**3/6 - 5*g**2. Suppose -16*d + 5*d = 11. Calculate l(d). 5 Let c(k) = k - 1. Let j be 6 - 4/(-8)*-4. Let o(f) = -2*f + f + j*f - 2*f. Let l be o(-1). Calculate c(l). -2 Let m(v) = 6*v**2 + 2*v + 1. Let s be m(-1). Suppose 39 = -s*u + 9. Let d(k) = 2*k - 266*k**3 - 6*k**2 + 3*k + 134*k**3 - 7 + 131*k**3 - 6*k. Calculate d(u). -1 Let t(n) be the third derivative of n**9/60480 - n**8/4032 - n**7/5040 + n**6/240 - n**5/2 + 15*n**2. Let c(a) be the third derivative of t(a). Determine c(5). -2 Let b be (-2618)/(-242) - 4/(-22). Let t(n) = -3*n + b*n - 7*n. Calculate t(5). 5 Let k(u) = u**3 - 16*u**2 + 27*u + 2. Let f be k(14). Let m(x) = x**3 + 12*x**2 + 3*x. Give m(f). -36 Let i = -1 - -8. Let h(r) = -8*r**2 + 8 - 18 - 2*r + i + 3*r**2. Determine h(-2). -19 Let o(h) = -3*h - 10 + 6 - 8 + 5 + h. Calculate o(0). -7 Let d(t) = 6*t**2 - 10*t - 3. Let i be 5/(-6 + 1) + 7. Let k(f) = 7*f**2 - 11*f - 4. Let u(z) = i*d(z) - 5*k(z). Determine u(3). -4 Suppose 4*n + 9 = 3*n. Let c(y) = 0*y + 3*y - 5*y - 10 - 3*y + 3*y. Calculate c(n). 8 Let y(q) = -q**2 - 5*q + 1. Let g be y(5). Let z = 51 + g. Let u(h) = -2*h. What is u(z)? -4 Let l(c) be the first derivative of c**5/20 + c**4/3 + c**3/2 - 2*c**2 + 10*c - 9. Let d(i) be the first derivative of l(i). Calculate d(-3). -4 Let w(i) be the second derivative of i**3/6 - 3*i**2/2 - 8*i. Let f(h) = -h**2 + 6*h + 5. Let u be f(8). Let k = u + 6. Calculate w(k). -8 Suppose -8*b - 16 = -6*b. Let c be b/(-3)*39/26. Let z(v) = -3*v + 3. Determine z(c). -9 Let a(m) = m**2 + m + 4. Let b(l) = -4*l**2 - 4*l - 11. Let x be 3/2 - (-75)/6. Let q = x + -12. Let u(s) = q*b(s) + 7*a(s). What is u(0)? 6 Let n(a) = -16518*a - 1 + a**2 + 2 - 2*a**2 + 16520*a. Let k be 6*4/(-16)*2. Calculate n(k). -14 Let v(q) be the third derivative of -q**5/60 + 5*q**4/24 + 5*q**3/6 + 47*q**2. Calculate v(5). 5 Let f(q) = q**3 - 5*q**2 - 8*q + 5. Suppose 140 = 49*h - 154. Determine f(h). -7 Let a(f) = 20*f**3 - 2*f**2 - 27*f - 4. Let w(q) = q - 29. Let o be w(12). Let r(c) = -7*c**3 + c**2 + 9*c + 1. Let l(h) = o*r(h) - 6*a(h). Give l(-6). -11 Suppose -3*b + 18*b + 105 = 0. Let i(h) = h**2 + 3*h - 32. Calculate i(b). -4 Let f(q) = -q**3 + 6*q**2 - q - 2. Suppose -24*a = 12*a - 180. Give f(a). 18 Suppose -4*g + 177 = 3*c, 2*g = -5*c - g + 295. Suppose 0 = -12*b - 1 - c. Let s(h) = 2*h - 2 - h + 9. Give s(b). 2 Let r(m) = m**2 + 7*m + 16. Let n be (-186)/33 + 108/(-297). Calculate r(n). 10 Let h(c) = -c**3 + 4*c**2 + 4*c + 3. Let a be h(5). Let k(d) be the second derivative of -d**4/6 - d**3/2 + 9*d. Determine k(a). -2 Suppose 4*q - 5*u + 24 = 0, 5*q - q - 4*u = -24. Let m(a) = -a**2 - 8*a - 14. Give m(q). -2 Let i(c) = 16*c**3 - 43*c**2 + 4*c + 22. Let q(w) = -5*w**3 + 14*w**2 - w - 7. Let k(l) = 6*i(l) + 19*q(l). Determine k(-5). 49 Let z(d) = -d + 4. Let n = -8 + 31. Suppose 7 = 6*h - n. Give z(h). -1 Let g(j) be the first derivative of j**3 + 2*j**2 + 4*j + 23 + 1/4*j**4. Give g(-3). -8 Let p(n) = n + 12. Let m be 2162/(-235) + 2/10. Calculate p(m). 3 Let w(x) be the first derivative of 1/2*x**2 - 4/3*x**3 - 11 + 1/4*x**4 + 0*x. Calculate w(4). 4 Let m(b) = 13*b**2 + 26*b - 8. Let g(x) = -5*x**2 - 10*x + 3. Let q(h) = -8*g(h) - 3*m(h). Let o be 2/(-5) + 14/10. Let z be (2/4)/(o/(-6)). Give q(z). 3 Let m(r) = -9*r. Let n(o) = 21*o. Let c(f) = -13*m(f) - 6*n(f). Let h(a) be the first derivative of a**2/2 - 1. Let b(x) = -c(x) + 4*h(x). Calculate b(-1). -13 Let a(t) = 6*t - 1. Suppose 4*h = -21*h + 100. Give a(h). 23 Let s(q) = 2*q + 2 - 13 - q + q**2 + q**3. Let l = -72 - -70. Let d be (1*(1 - l - 3))/(-1). Give s(d). -11 Suppose -3*m = 6 - 18. Let w(y) = -3*y - 6. Let t(l) = 4*l + 6. Let g(f) = m*t(f) + 5*w(f). Let h = 32 + -26. What is g(h)? 0 Let x(j) = j - 4. Let a(d) = -d**3 + 3*d**2 - 2*d + 9. Let n(m) = m**3 - 4*m**2 + 2*m - 9. Let h(y) = 3*a(y) + 4*n(y). Let l = 4 + 3. Let o be h(l). Give x(o). 1 Let f(m) = 5*m**2 + 17*m - 14. Let z be (12/14)/(1/7). Let c(n) = 11*n**2 + 35*n - 29. Let l(y) = z*c(y) - 13*f(y). Give l(6). -22 Let l(b) = b - 4. Let n(u) = -u**3 - 12*u**2 - 11*u + 8. Let o be n(-11). Suppose o - 14 = 2*z. What is l(z)? -7 Let s be 4/14 - (-25)/35. Let t(y) = y**2 + y - 5. Let u(m) = m. Let i(q) = s*t(q) + 4*u(q). Suppose -p = -0 + 4. Give i(p). -9 Let l = -61 + 60. Let o(c) = -6. Let s(j) = -j. Let z(n) = l*s(n) - o(n). Suppose -w + 3*v = -6, 2*v - 1 = -9. Give z(w). 0 Let k(u) = -5*u**3 - 8*u**2 + 5*u - 14. Let f(d) = -2*d**3 - 3*d**2 + 2*d - 5. Let j(l) = 8*f(l) - 3*k(l). Determine j(-1). 2 Let l(o) = -o**2 + 12*o + 11. Let h(f) = f**2 - 13*f - 11. Let c(r) = 5*h(r) + 4*l(r). Determine c(18). 7 Let j(l) = 31*l + 796. Let h be j(-26). Let w(y) = -5*y - 15. What is w(h)? 35 Suppose 6*r + 165 = 183. Let v(f) be the third derivative of f**5/60 - f**4/8 - f**3/3 + 3*f**2. Give v(r). -2 Let t(k) = 59*k**2 - 4*k - 60*k**2 + k. Determine t(3). -18 Let f(x) = -2 + x + 648*x**3 - 324*x**3 - 323*x**3 + 5*x**2. Determine f(-5). -7 Let l(x) = -19*x + 60. Let d be l(3). Let t(o) = 2*o + 5. What is t(d)? 11 Suppose -4*c = -44 + 16. Let i be 1/3 - (-2)/3 - c. Let p(j) be the third derivative of j**6/120 + j**5/10 - 5*j**3/6 + j**2. Give p(i). -5 Let d(w) = -2*w + 1. Let v(r) = -r**2 - r + 1. Let j(n) = -d(n) + v(n). Suppose 0 = 4*c + 1 + 7. What is j(c)? -6 Suppose 11*x + 24 = -42. Let v(p) = -p**2 - 4*p - 6. Give v(x). -18 Suppose -5*k = -0*k + 5*g - 5, -g = -5*k + 5. Let w(j) = 7*j**2 - 2*j. Determine w(k). 5 Suppose 0 = -9*i - 31 + 139. Let b(v) = -v**3 + 11*v**2 + 13*v - 13. Give b(i). -1 Let f(u) = 205*u**2 - 3*u - 1. Let p be f(-1). Let v be ((-4)/3)/((-46)/p). Let q(k) = k**3 - 6*k**2 + k - 1. What is q(v)? 5 Let d(z) = -z + 10. Let y be ((-161)/(-92))/(2/(-8)). Give d(y). 17 Let d(n) = 2 + n + 5*n - 4*n. Suppose -c + 29 = 6. Let f = 26 - c. What is d(f)? 8 Let w(u) = -u**3 - 1 - u**2 - 43214*u + 4*u**2 + 43217*u. Suppose 3*v + 80 = 2. Let d be 4/14 + v/(-7). Determine w(d). -5 Suppose 30 = 11*o - 465. Let z be (-1)/(-3) + 20/o*-3. Let a(n) = 5*n**2 + 3*n + 0*n - 2*n. Give a(z). 4 Let k = 241 + -238. Let t(c) = c**2 + 2. Determine t(k). 11 Let l(h) = 413 - 413 + h - 3*h. Suppose 0 = -2*m - 0 + 4. Let o be l(m). Let a(f) = -f**2 - 4*f - 3. What is a(o)? -3 Let q = -166 - -165. Suppose -25 = -7*w + 2*w. Let c(j) = -2*j - w - 3*j + 6. Determine c(q). 6 Suppose 4*v + 4 = -4*k, 3*v + 4 = -3*k - v. Suppose -10 = -2*t - 4. Let p(z) = t + z + k*z + z. What is p(4)? 11 Let f be (2/(-1) - -12)/2. Let g(w) = 39*w**2 + 5*w - 48*w**2 + 13*w**2 - w**3 + 7. Calculate g(f). 7 Let h(u) be the third derivative of 1/24*u**4 + 0 - 1/3*u**3 - 4*u**2 + 0*u. Suppose -d - 3*m = 0, 0*m + 7 = -d + 4*m. Calculate h(d). -5 Let x(w) be the first derivative of -w**3/3 + w**2/2 + 3*w + 37. Let o(t) = -t**2 - 8*t + 4. Let l be o(-8). Give x(l). -9 Let u be (-58)/12 - (4 + -12 + 3). Let v(o) be the second derivative of -3*o**2 - u*o**3 - 1/12*o**4 + 0 - 3*o + 1/20*o**5. What is v(0)? -6 Let w(y) = y + 3. Let g(x) = 2*x - 37. Let i be g(17). Calculate w(i). 0 Suppose -18*l = -15*l - 45. Let s(j) = l*j - 3*j - 9*j + 2 - j**2. Calculate s(3). 2 Let f(m) = 1. Let y(l) = l**3 + 3*l**2 + 3*l - 5. Let o = -70 + 64. Let v(i) = o*f(i) - y(i). Determine v(-3). 8 Suppose 2*a + 4*k - 5*k - 49 = 0, 2*a = -2*k + 46. Let r(n) = -a*n**2 - 22*n**2 + 56*n**2 - n. Calculate r(1). 9 Let v(k) be the second derivative of k**4/12 - k**3/2 - 2*k**2 - 3*k - 5. Determine v(-3). 14 Let j be -4 - (2 + 10 - 6). Let a(y) = -y**3 - 9*y**2 + 11*y + 14. Determine a(j). 4 Let y(l) = -83*l**2 + 6 - 78*l**2 + 162*l**2 + 7*l. What is y(-8)? 14 Let k(m) be the first derivative of -m**6/360 - m**5/40 + m**4/6 - 5*m**3/3 - 2. Let p(v) be the third derivative of k(v). Determine p(-5). -6 Let j(s) be the third derivative of 5*s**4/24 + s**3 - 2*s**2. Suppose 3074*c = 3084*c + 40. What is j(c)? -14 Let n = -9181 - -9175. Let v(w) = 13*w + 7. Let x(s) = 3*s + 2. Let o(k) = -2*v(k) + 9*x(k). Give o(n). -2 Let m(g) = -g**3 - 2*g**2 - 2*g - 1. Let y be ((-1)/1)/((-26)/182). Suppose 0 = -8*v - y - 9. Calculate m(v). 3 Let i = 6 + -42. Let d
{ "pile_set_name": "DM Mathematics" }
sqrt(128)) + sqrt(968)*2) + 2. 3*sqrt(5)/14 + 2 Simplify ((0 + sqrt(1008))*-2)**2*-5*4 - ((-3*sqrt(490) - sqrt(490))/sqrt(10) + sqrt(49))/((sqrt(77) + sqrt(77)*3)/sqrt(11)). -80640 + 3*sqrt(7)/4 Simplify -2*((-1*(-1 + sqrt(432) - sqrt(432))**2 + sqrt(432))*1 + 2*1*2*sqrt(432) + 5). -120*sqrt(3) - 8 Simplify ((3*((sqrt(1368) + -3*sqrt(1368) - sqrt(1368)) + sqrt(38)))/(sqrt(242)*1 - (-3*sqrt(2)*-1 + sqrt(2))))**2 + -1. 49370/49 Simplify 4*((sqrt(15) - (sqrt(150)*-4 - sqrt(150))/sqrt(10))/sqrt(3)*1 - ((sqrt(245)*-1 + 4)**2 + (sqrt(245) - (2 + (sqrt(245) + 1)**2)))). -52 + 276*sqrt(5) Simplify ((3*sqrt(168)/(1*sqrt(150)))/((sqrt(576) + 1*sqrt(576))*4*-6))**2. 7/921600 Simplify 5 + ((sqrt(3969)*-1 - sqrt(3969)) + sqrt(343)/(sqrt(7)*-2))/(sqrt(28)/(sqrt(12)/sqrt(3)*6)). -111*sqrt(7) + 5 Simplify 1 + (2 + sqrt(1008) + sqrt(1008) - sqrt(1008))**2 + -2 + 0 + (sqrt(1008) - sqrt(1008)*4) + 4. 12*sqrt(7) + 1015 Simplify 2 + (1 + (sqrt(190)*-2*6*-2)/(-2*sqrt(360)*1))**2 + 3. -4*sqrt(19) + 82 Simplify (((sqrt(68) + 0)*-1 - (-2 + sqrt(68))*6)*6)**2 - (-5 + -3*(-4*sqrt(68) + 0)). -12120*sqrt(17) + 125141 Simplify (sqrt(500) - (1 + (sqrt(500)*2 - sqrt(500))**2)) + 2*(sqrt(500) + -1) - (6*1*sqrt(55))/((-1*sqrt(132))/sqrt(12)). -503 + 36*sqrt(5) Simplify (-2 + ((-2*sqrt(325) + sqrt(325))*6 - (-3 + sqrt(325) + 0)) + 4*(sqrt(325) + 2 - sqrt(325))*-2 + -2)**2. 1190*sqrt(13) + 16214 Simplify ((3*(sqrt(126)/sqrt(2))/sqrt(3))/(sqrt(14)/(1*sqrt(50) - sqrt(2) - sqrt(2))))**2*-1*1. -243 Simplify -2*(-1 + sqrt(132)/(sqrt(12)*1) + (sqrt(77)*3*-5)/sqrt(7)) + -2. 28*sqrt(11) Simplify ((-6*-1*sqrt(22) + sqrt(22))*5*1)/((sqrt(24) - sqrt(24)*-3)/sqrt(12) - (-4*sqrt(98) + sqrt(2))). 35*sqrt(11)/31 Simplify (2 + (1 + (sqrt(363) - ((sqrt(363)*-2 - sqrt(363)) + sqrt(363))))**2 - (sqrt(24)/(-1*sqrt(1152) - sqrt(1152)) + -5))*5. 7925*sqrt(3)/24 + 16375 Simplify (-2*sqrt(76) + 2 - ((-2 + sqrt(76) - sqrt(76)) + 0) - 5*4*sqrt(475)*4)**2. -3232*sqrt(19) + 3101120 Simplify ((6*sqrt(125)/sqrt(5))/(sqrt(5) + (sqrt(25)*3)/sqrt(5)))**2 - (sqrt(720) - sqrt(720)*-2)/(sqrt(36)/(sqrt(12)/sqrt(3)) + sqrt(9))*2. -12*sqrt(5) + 45/4 Simplify (1*((sqrt(2) - (sqrt(2) + -3))*-4 + sqrt(288) + 0 + sqrt(288)) + 6*((sqrt(200) - sqrt(200)*-1*-3) + -4))**2. 6912*sqrt(2) + 19728 Simplify sqrt(80) + -3 + (sqrt(2000)*2)**2 - ((sqrt(80)*3 - (sqrt(20) - 1*(sqrt(20) - sqrt(320)))**2) + 4). -8*sqrt(5) + 8313 Simplify (sqrt(864) - (sqrt(864) + 1*sqrt(864)*-2))/((sqrt(48)/(sqrt(12)/sqrt(3)) - sqrt(12)) + sqrt(48)/(sqrt(4) - sqrt(16) - sqrt(4))). -24*sqrt(2) Simplify (-3*((sqrt(132) + (sqrt(132) + sqrt(132)*2 - sqrt(132)) + sqrt(132))*-2)/(-2*sqrt(432) - sqrt(3))*1)**2. 25344/625 Simplify 0 + (-2*(-4 + sqrt(125)*1)**2 - (-5 + sqrt(20) + sqrt(5) + (sqrt(5) - -4*sqrt(20)) + 4)). -281 + 68*sqrt(5) Simplify 6*(2*(sqrt(130) + sqrt(130) + sqrt(130)*2) + -2*(sqrt(130) + (sqrt(130) - sqrt(130)*-1) - sqrt(130)))/(1*(sqrt(1440) + sqrt(1440) + 1*sqrt(1440))). 2*sqrt(13)/3 Simplify -3*(3 + (-2 + sqrt(200)*-2)*4)**2 + (sqrt(200) - (1 + sqrt(200)*-2))**2 + 3 + 4 + 0 + sqrt(200) + (1 + sqrt(200))**2. -36466 - 2430*sqrt(2) Simplify -3*(2*(sqrt(121) - 2*sqrt(121) - sqrt(121)))/(sqrt(539)*2 + sqrt(11)) + (1*(2 + (sqrt(1100) + 1 + sqrt(1100))*5 + sqrt(1100)))**2. 7704*sqrt(11)/5 + 133149 Simplify (-6*(-1*(0 + sqrt(2057) + -3) + 1 - 5*(sqrt(2057) + sqrt(2057)*-2 + sqrt(2057) + -1 + sqrt(2057) - sqrt(2057) - (sqrt(2057)*2 + -5))))**2. -114048*sqrt(17) + 6007428 Simplify sqrt(51)/(sqrt(1029)/sqrt(7) + sqrt(3))*-1 + sqrt(187)/sqrt(44) + -1 + -1. -2 + 3*sqrt(17)/8 Simplify ((sqrt(3600) + -1*sqrt(3600)*2 + sqrt(3600))*-2)/(sqrt(48) + sqrt(96)/sqrt(2) + 1*sqrt(432)). 0 Simplify (2*(2*sqrt(8)/sqrt(4) + (sqrt(42)/sqrt(3))/sqrt(7)))**2 + -4*(-1 + (sqrt(128)*4)**2). -8116 Simplify (2 + 3 + sqrt(77)/(sqrt(11)*-1) - (0 + 0 + -2*(sqrt(175) + sqrt(7))))**2*6. 660*sqrt(7) + 5232 Simplify 5*((-3 + sqrt(80)*3 + sqrt(80))**2 - (sqrt(80) - sqrt(80)*2 - sqrt(80))*3 - (4 + 0 + 1 + sqrt(80) + 3)). -380*sqrt(5) + 6405 Simplify -3*(sqrt(39)/(sqrt(15)/sqrt(5)) - (4 + 1*sqrt(13))) - -5*(3*sqrt(13) + 5)**2*-1. -698 - 150*sqrt(13) Simplify (((sqrt(209)*-3*-4 - (sqrt(209)*1*-5 - sqrt(209)))*-3)/((3*sqrt(99))/sqrt(9) + sqrt(11) + (sqrt(891) - (sqrt(891) + (sqrt(891) - 3*sqrt(891))))))**2. 13851/121 Simplify (2*-2*sqrt(56) + sqrt(56) + (sqrt(280) - sqrt(280)*-3)/sqrt(5))/((sqrt(40)*-2*3)/(sqrt(15)/sqrt(3)*1)). -sqrt(7)/6 Simplify 1 + (-3 + -1*sqrt(11) + (sqrt(110) - (sqrt(110) + sqrt(110)*-2))/sqrt(10) + (1 + sqrt(44) - (-4 + sqrt(44))))*-6 + 1. -6*sqrt(11) - 10 Simplify (1 + (1 + sqrt(1100) + sqrt(1100))*2 + sqrt(1100) - 5*(sqrt(1100) + (sqrt(1100) - sqrt(1100)*-3) + -3))**2 + -3. -7200*sqrt(11) + 440321 Simplify -2 + (sqrt(75)*3 + (sqrt(18) + sqrt(18)*2)/sqrt(6) - -6*(4 + 0 + sqrt(108))). 22 + 54*sqrt(3) Simplify ((sqrt(121) - ((sqrt(121) + sqrt(121) + sqrt(121)*-3)*5 - sqrt(121)))*-6*4)/(-4*sqrt(11)*-6 + sqrt(11)*5*4). -42*sqrt(11)/11 Simplify (-1*sqrt(13) + sqrt(13) + -4 + -1 + sqrt(1872))**2 + 0 + ((sqrt(130) + sqrt(130) + -3*(sqrt(130) - sqrt(130)*1))/sqrt(360))**2. -120*sqrt(13) + 17086/9 Simplify (((3*-1*sqrt(70) - sqrt(70))/(5*sqrt(20)/sqrt(2)))**2 - ((-3 + 0 + sqrt(343) + sqrt(343))**2 + -4))*5. -34313/5 + 420*sqrt(7) Simplify -3 + (3*4*(-4 + 2 + sqrt(98) + sqrt(98) + -1 + sqrt(98) + 2 + sqrt(98)) + -1)**2. -8736*sqrt(2) + 225958 Simplify 3*(1 + -2 + ((-2 + -1*sqrt(5))*4 - (sqrt(500) + 4 + -2*sqrt(500))**2)). -1575 + 228*sqrt(5) Simplify ((sqrt(11) + 1 + -4 - (-5 + sqrt(33)/sqrt(3))) + (-2 + -1*sqrt(704) - sqrt(704)))**2 + 1 + sqrt(11)*-1 + sqrt(11) + 0 + (4 + sqrt(176)*-2)**2. -64*sqrt(11) + 3537 Simplify -1 + ((-1*sqrt(77)*-1 + (sqrt(77) - -2*sqrt(77) - sqrt(77))*-4)/(-1*sqrt(252) + -5*sqrt(7)*-1))**2. 538 Simplify (sqrt(612)*-1 - sqrt(612))**2 + (sqrt(612) + 1)**2 + (sqrt(68)/sqrt(4) + -4)*5 + (0 + sqrt(1700))*-3 + (1 + sqrt(1700) + 2 - sqrt(1700)). -13*sqrt(17) + 3044 Simplify 1*((((-2*sqrt(33) + sqrt(33))*-3)/(sqrt(1100)*1))**2 - ((sqrt(144)*2)/sqrt(12))/(sqrt(108)/sqrt(3) + sqrt(4))). -sqrt(3)/2 + 27/100 Simplify (4*2*2*((-1*sqrt(112)*4 - sqrt(112)) + sqrt(112))*-2*4)**2. 29360128 Simplify (5*3*sqrt(128)*3)/(-1*sqrt(16) - sqrt(4)*-5*-4). -90*sqrt(2)/11 Simplify (((sqrt(306) - (sqrt(306) - -1*sqrt(306)*1)) + sqrt(306))/(sqrt(216)*-1))/(((2*sqrt(99))/sqrt(3))/(1*sqrt(176) - sqrt(11))). 0 Simplify (-4*-3*4*sqrt(1088)*1*3 + 4)**2. 9216*sqrt(17) + 22560784 Simplify -1 + (2*(4 + -5 + sqrt(1088)*1 + 5))**2. 256*sqrt(17) + 4415 Simplify (6*-6*sqrt(513)*3)/(-2*sqrt(243)*6 + sqrt(243) + sqrt(243) + -1*sqrt(243)*6). 9*sqrt(19)/4 Simplify -4 + ((3*(2 + sqrt(176) + -2 + -4) + -5 + -2)*-6)**2. -16416*sqrt(11) + 70016 Simplify 4*(-2 + -4*sqrt(22)/sqrt(2) - (-1*sqrt(88)*1)/sqrt(8)). -12*sqrt(11) - 8 Simplify ((sqrt(50) - (sqrt(2450) + 0)) + -1)**2 - -6*(((sqrt(8)/sqrt(4) + -2)**2 - sqrt(2)) + sqrt(2) - (-3 + sqrt(8))). 24*sqrt(2) + 1855 Simplify -2 + (sqrt(315)/((sqrt(30)/sqrt(3))/sqrt(2)))/(sqrt(225)*2*-4) + 5. -sqrt(7)/40 + 3 Simplify (sqrt(3645) - (sqrt(3645) + 1*(sqrt(3645)*-1)**2 + sqrt(3645)))*-3 + (-2 + sqrt(3645))**2 + -1 + ((1 + sqrt(3645) - sqrt(3645)) + 2)**2 + 4. -27*sqrt(5) + 14596 Simplify (4*sqrt(210)/(5*sqrt(6))*-6)/((sqrt(77) - sqrt(77)*-5)/sqrt(11) - ((sqrt(42) - 2*sqrt(42))/sqrt(6) + sqrt(7))). -4*sqrt(5)/5 Simplify (4*(5*sqrt(204)*-2 - sqrt(204) - sqrt(204))*2)/(-4*(-2*1*sqrt(12) - (sqrt(12) + -1*sqrt(768)))). 24*sqrt(17)/5 Simplify ((sqrt(1900) + -1*sqrt(1900))*-1 + -2 + (-3*(3 + 0 + sqrt(1900)))**2)*6. 3240*sqrt(19) + 103074 Simplify sqrt(77)/(sqrt(1008) + (sqrt(1008) - sqrt(1008)*-4))*-2 + -6*(sqrt(11) + -1)**2 + sqrt(55)/(sqrt(55)/sqrt(11)). -72 + 467*sqrt(11)/36 Simplify -6*(-1*sqrt(84)*-4 - ((1*sqrt(84) - sqrt(84))*-2 + sqrt(84)))/((sqrt(960)*-1)/sqrt(5)). 9*sqrt(7)/2 Simplify -3 + 2*sqrt(243) - ((sqrt(72)*-2 + sqrt(72) + sqrt(72) + sqrt(72))/sqrt(2))/sqrt(12) - (sqrt(1920)*-2)/((sqrt(10) + sqrt(640))*1). -3 + 169*sqrt(3)/9 Simplify ((-3*sqrt(45)/sqrt(3))/(-6*sqrt(45)))**2 - (4 + (sqrt(300) + -2*sqrt(300) + sqrt(300) - sqrt(300)) + -4)**2. -3599/12 Simplify (-2*sqrt(140))/sqrt(7) + -1*2*sqrt(500) - ((sqrt(320)*3)/sqrt(4) + -4 + 5). -36*sqrt(5) - 1 Simplify (((sqrt(672) + -3*sqrt(672) - sqrt(672))/sqrt(12) - sqrt(56)) + -1*1*sqrt(56))/((-4
{ "pile_set_name": "DM Mathematics" }
}? 0 Calculate prob of picking 1 r and 1 z when two letters picked without replacement from rrrrrrrrzrrrrrrrrrrr. 1/10 Calculate prob of picking 3 m when three letters picked without replacement from {m: 5}. 1 Four letters picked without replacement from zzyzyzzz. What is prob of picking 1 y and 3 z? 4/7 Three letters picked without replacement from {v: 2, q: 7, o: 2, e: 3, z: 1, i: 5}. Give prob of picking 1 i, 1 z, and 1 o. 1/114 Two letters picked without replacement from {x: 1, z: 7, v: 2}. What is prob of picking 1 z and 1 x? 7/45 Four letters picked without replacement from {b: 1, x: 5, l: 5, v: 5}. Give prob of picking 3 v and 1 b. 1/182 Calculate prob of picking 3 z when three letters picked without replacement from {m: 2, z: 9, e: 5}. 3/20 Four letters picked without replacement from jdddljdjjlddjdjj. Give prob of picking 4 d. 1/52 What is prob of picking 2 x and 1 c when three letters picked without replacement from {s: 1, z: 1, x: 7, j: 5, c: 1}? 3/65 What is prob of picking 2 l when two letters picked without replacement from {l: 7, c: 6}? 7/26 Two letters picked without replacement from {y: 1, f: 1, k: 2}. Give prob of picking 1 f and 1 y. 1/6 Three letters picked without replacement from {z: 11, s: 7, m: 2}. Give prob of picking 1 m and 2 z. 11/114 Calculate prob of picking 1 d, 1 b, and 2 s when four letters picked without replacement from {d: 2, s: 2, b: 2, y: 4, z: 1, e: 1}. 4/495 Three letters picked without replacement from rmmwmmmmmrmwmpml. Give prob of picking 1 w and 2 m. 9/56 Two letters picked without replacement from {l: 1, v: 3, k: 4, p: 1, e: 6}. What is prob of picking 1 e and 1 k? 8/35 What is prob of picking 2 s when two letters picked without replacement from {b: 5, s: 5, u: 3}? 5/39 Three letters picked without replacement from qquuuqqqquqqquuquqq. What is prob of picking 3 q? 220/969 What is prob of picking 2 k, 1 v, and 1 s when four letters picked without replacement from kasssskazsvak? 3/143 Three letters picked without replacement from {i: 7, j: 4, a: 6, s: 1, l: 2}. What is prob of picking 1 s and 2 a? 1/76 Four letters picked without replacement from {e: 1, p: 1, q: 1, u: 2, o: 2}. Give prob of picking 1 u, 1 o, 1 q, and 1 p. 4/35 Three letters picked without replacement from {w: 4, a: 7}. Give prob of picking 2 w and 1 a. 14/55 Three letters picked without replacement from {q: 4, i: 4, f: 5, p: 1, u: 2}. Give prob of picking 3 f. 1/56 What is prob of picking 2 o and 1 g when three letters picked without replacement from ononrinnynogo? 3/143 Two letters picked without replacement from {x: 2, t: 2, b: 1}. Give prob of picking 2 x. 1/10 Four letters picked without replacement from {f: 4, z: 4, p: 8}. What is prob of picking 1 f and 3 p? 8/65 Two letters picked without replacement from rzrkkrzkkklkklkkzkz. What is prob of picking 2 z? 2/57 Calculate prob of picking 2 b when two letters picked without replacement from mmbgbzmmgggmmzbggmz. 1/57 Calculate prob of picking 2 c when two letters picked without replacement from vvvvvcvvvvcvvvvvcvc. 2/57 Calculate prob of picking 2 m when two letters picked without replacement from {r: 15, m: 3}. 1/51 Two letters picked without replacement from {e: 2, c: 1, s: 14}. What is prob of picking 1 e and 1 c? 1/68 What is prob of picking 1 e, 1 t, and 2 f when four letters picked without replacement from {z: 1, f: 7, e: 2, t: 2, x: 2, i: 1}? 4/65 Three letters picked without replacement from {k: 2, l: 3, p: 5}. Give prob of picking 1 k and 2 p. 1/6 What is prob of picking 2 w and 2 t when four letters picked without replacement from {z: 6, t: 3, w: 8}? 3/85 Three letters picked without replacement from mmzvvmmvvmvmm. Give prob of picking 2 m and 1 v. 105/286 Calculate prob of picking 1 d and 1 n when two letters picked without replacement from hdhhn. 1/10 Calculate prob of picking 1 w and 1 m when two letters picked without replacement from pwmppmp. 2/21 Two letters picked without replacement from yeeeysyseeeyygsyeee. Give prob of picking 1 e and 1 y. 6/19 Two letters picked without replacement from {r: 1, u: 1, i: 2, x: 1}. What is prob of picking 1 u and 1 r? 1/10 What is prob of picking 2 p when two letters picked without replacement from jpp? 1/3 Two letters picked without replacement from drdrddqddxq. Give prob of picking 2 d. 3/11 Calculate prob of picking 1 t, 2 z, and 1 r when four letters picked without replacement from tzrtsz. 2/15 What is prob of picking 2 z when two letters picked without replacement from {z: 3, x: 3}? 1/5 Three letters picked without replacement from snnnnmsmnnsmmk. What is prob of picking 3 n? 5/91 Two letters picked without replacement from zbbqi. Give prob of picking 1 b and 1 q. 1/5 Two letters picked without replacement from {w: 2, f: 4, u: 1}. Give prob of picking 1 f and 1 w. 8/21 What is prob of picking 2 o and 2 n when four letters picked without replacement from egogntwgotnetwg? 1/1365 Calculate prob of picking 1 m and 1 q when two letters picked without replacement from qqqqqmqqqdq. 9/55 What is prob of picking 3 f and 1 d when four letters picked without replacement from {d: 5, f: 3}? 1/14 Calculate prob of picking 1 x and 1 z when two letters picked without replacement from {w: 1, z: 1, x: 1, b: 4, m: 5, n: 3}. 1/105 What is prob of picking 2 q when two letters picked without replacement from {f: 1, u: 1, l: 1, q: 4, z: 4}? 6/55 What is prob of picking 1 k and 1 l when two letters picked without replacement from {n: 2, q: 2, l: 2, k: 4}? 8/45 Four letters picked without replacement from qqervqqqrvrqrqq. Give prob of picking 1 e, 1 q, and 2 r. 16/455 What is prob of picking 1 w, 1 q, and 1 z when three letters picked without replacement from zxkxxzqzszww? 2/55 What is prob of picking 2 q when two letters picked without replacement from hqjqj? 1/10 What is prob of picking 4 x when four letters picked without replacement from {n: 5, x: 5}? 1/42 Calculate prob of picking 2 m and 1 i when three letters picked without replacement from ppigmokmmpooomm. 2/91 Three letters picked without replacement from irrririg. What is prob of picking 3 r? 1/14 What is prob of picking 4 b when four letters picked without replacement from {b: 7, n: 2}? 5/18 Two letters picked without replacement from {d: 8, h: 3, s: 4, u: 2}. What is prob of picking 2 u? 1/136 Calculate prob of picking 1 d and 1 g when two letters picked without replacement from fgnfgdhd. 1/7 What is prob of picking 2 t when two letters picked without replacement from {k: 7, t: 2}? 1/36 What is prob of picking 1 u and 3 t when four letters picked without replacement from {m: 2, t: 5, u: 3, g: 2}? 2/33 Three letters picked without replacement from {b: 4, m: 1, q: 1, g: 4}. What is prob of picking 3 g? 1/30 What is prob of picking 3 t when three letters picked without replacement from tttt? 1 Two letters picked without replacement from {z: 2, b: 10}. Give prob of picking 2 z. 1/66 Calculate prob of picking 4 p when four letters picked without replacement from {x: 1, q: 2, p: 4, i: 3}. 1/210 Three letters picked without replacement from cacacccc. Give prob of picking 3 c. 5/14 Three letters picked without replacement from {b: 4, u: 2, i: 4, n: 3, z: 2, l: 3}. What is prob of picking 2 l and 1 z? 1/136 Two letters picked without replacement from cyifykykyyyyyyyyykcy. Give prob of picking 2 y. 39/95 What is prob of picking 2 i and 1 o when three letters picked without replacement from {x: 2, o: 5, i: 2}? 5/84 What is prob of picking 4 c when four letters picked without replacement from {c: 7}? 1 What is prob of picking 2 x when two letters picked without replacement from xxiixiixixixx? 7/26 Calculate prob of picking 1 h, 1 k, and 1 o when three letters picked without replacement from {o: 3, v: 1, p: 3, f: 6, h: 1, k: 3}. 9/680 What is prob of picking 2 b and 2 v when four letters picked without replacement from {b: 6, o: 2, v: 11}? 275/1292 Two letters picked without replacement from gglwwl. Give prob of picking 2 g. 1/15 Two letters picked without replacement from ruiruirhrk. What is prob of picking 1 u and 1 r? 8/45 Two letters picked without replacement from yurysrryrrnynnrrney. What is prob of picking 1 e and 1 r? 7/171 What is prob of picking 1 q and 1 r when two letters picked withou
{ "pile_set_name": "DM Mathematics" }
9*k/3 + 4. -(k - 1)**3*(k + 3)*(k + 4)/3 Let -2*r**3/11 + 18*r**2/11 + 960*r/11 + 5800/11 = 0. Calculate r. -10, 29 Factor 2*z**2 - 29*z - 15. (z - 15)*(2*z + 1) Let -2*f**3/9 + 10*f**2/3 - 76*f/9 + 16/3 = 0. What is f? 1, 2, 12 Find t, given that -525*t**5 + 3830*t**4/3 - 817*t**3 - 304*t**2/3 + 172*t - 16/3 = 0. -2/5, 2/63, 4/5, 1 What is y in 2*y**3/5 - 72*y**2/5 - 2*y/5 + 72/5 = 0? -1, 1, 36 Factor -4*h**4 - 192*h**3 - 2300*h**2 + 192*h + 2304. -4*(h - 1)*(h + 1)*(h + 24)**2 Solve -8*j**5/7 + 2*j**3 + 2*j**2/7 - 6*j/7 - 2/7 = 0 for j. -1, -1/2, 1 Determine d, given that -5*d**4 - 3065*d**3 - 471240*d**2 - 468180*d = 0. -306, -1, 0 Factor -5*x**3 + 245*x**2 + 505*x + 255. -5*(x - 51)*(x + 1)**2 Suppose b**3/10 + 3*b**2/5 - b/10 - 3/5 = 0. What is b? -6, -1, 1 Find z, given that -8*z**4 + 10*z**3 + 14*z**2 - 4*z = 0. -1, 0, 1/4, 2 Solve f**2/3 - 14*f/3 + 8 = 0. 2, 12 Factor w**2/3 - 14*w/3 + 11. (w - 11)*(w - 3)/3 Find m, given that 14*m**3/13 + 66*m**2/13 + 36*m/13 - 16/13 = 0. -4, -1, 2/7 Factor -4*a**4 - 232*a**3 - 3364*a**2. -4*a**2*(a + 29)**2 Suppose -8*p**4/5 - 34*p**3/5 + 34*p/5 + 8/5 = 0. Calculate p. -4, -1, -1/4, 1 Solve -6*h**4/5 - 68*h**3/5 + 126*h**2/5 - 52*h/5 = 0 for h. -13, 0, 2/3, 1 Suppose h**2 + 154*h + 5929 = 0. Calculate h. -77 Determine x so that 3*x**3 - 15*x**2 - 138*x - 120 = 0. -4, -1, 10 Suppose g**2 + 668*g - 2013 = 0. What is g? -671, 3 Determine g, given that -45*g**3 - 820*g**2 + 7695*g + 1750 = 0. -25, -2/9, 7 What is y in y**5/2 - 4*y**4 + 6*y**3 = 0? 0, 2, 6 Determine g so that g**2/5 + 4*g + 96/5 = 0. -12, -8 Factor u**4 + 23*u**3 + 162*u**2 + 360*u. u*(u + 5)*(u + 6)*(u + 12) Find l such that 5*l**3 + 300*l**2 - 3500*l = 0. -70, 0, 10 Factor -5*k**3/4 + 19*k**2/2 + 179*k/4 - 53. -(k - 1)*(k + 4)*(5*k - 53)/4 Factor 2*t**2/3 + 10*t + 28/3. 2*(t + 1)*(t + 14)/3 Factor -3*g**3/2 + 261*g**2 - 15138*g + 292668. -3*(g - 58)**3/2 Factor -2*l**2/9 + 40*l/3 - 232/9. -2*(l - 58)*(l - 2)/9 Determine s so that -192*s**3/5 + 528*s**2/5 - 63*s + 54/5 = 0. 3/8, 2 Factor -r**3/4 - 211*r**2/4 - 2860*r - 8112. -(r + 3)*(r + 104)**2/4 Factor -n**3 + 11*n**2 - 18*n. -n*(n - 9)*(n - 2) Let 4*o**3/5 - 828*o**2/5 + 1644*o/5 - 164 = 0. Calculate o. 1, 205 Determine r, given that 7*r**5/6 + 53*r**4/6 + 137*r**3/6 + 127*r**2/6 - 6 = 0. -3, -2, -1, 3/7 Factor 2*w**4 + 4*w**3 - 2*w**2 - 4*w. 2*w*(w - 1)*(w + 1)*(w + 2) Factor -y**4 + 37*y**3 - 366*y**2 - 320*y + 12800. -(y - 16)**2*(y - 10)*(y + 5) Suppose 15*s**5/4 + 189*s**4/2 + 552*s**3 - 1203*s**2/2 - 2223*s/4 + 507 = 0. Calculate s. -13, -1, 4/5, 1 What is d in -9*d**4 + 2*d**3 + 468*d**2 + 760*d - 192 = 0? -6, -2, 2/9, 8 Let -9*o**4 - 119*o**3 - 314*o**2 - 244*o - 40 = 0. Calculate o. -10, -2, -1, -2/9 Factor 2*x**5/3 + 14*x**4/3 + 22*x**3/3 + 10*x**2/3. 2*x**2*(x + 1)**2*(x + 5)/3 What is n in 2*n**4 - 286*n**3 + 10644*n**2 - 29960*n + 19600 = 0? 1, 2, 70 Let 2*w**2 + 484*w + 29282 = 0. Calculate w. -121 Determine f so that -33800*f**3/17 + 10530*f**2/17 - 552*f/17 + 8/17 = 0. 2/65, 1/4 Determine n, given that -4*n**4 + 8*n**3 + 12*n**2 - 32*n + 16 = 0. -2, 1, 2 Solve -2*n**2/5 - 66*n/5 - 484/5 = 0. -22, -11 Suppose -r**4 - 5*r**3 + 24*r**2 - 4*r - 32 = 0. Calculate r. -8, -1, 2 Find m, given that -10*m**5 - 6*m**4 + 14*m**3 + 6*m**2 - 4*m = 0. -1, 0, 2/5, 1 Solve 5*m**2 - 180 = 0 for m. -6, 6 Factor -9*c**2 - 159*c + 54. -3*(c + 18)*(3*c - 1) Determine h, given that 4*h**4 + 544*h**3 + 4572*h**2 = 0. -127, -9, 0 Determine a so that -4*a**4 - 35*a**3 + 49*a**2 - 10*a = 0. -10, 0, 1/4, 1 Find q, given that -4*q**3 - 432*q**2 - 15552*q - 186624 = 0. -36 Find h such that -3*h**2/2 + 9*h + 24 = 0. -2, 8 Let 4*w**4 - 152*w**3 + 928*w**2 - 1896*w + 1116 = 0. Calculate w. 1, 3, 31 Determine x, given that -14*x**4 - 115*x**3 - 176*x**2 + 60*x = 0. -6, -5/2, 0, 2/7 Find g, given that 3*g**4 + 152*g**3 + 4966*g**2/3 - 6840*g + 6075 = 0. -27, 5/3 Factor b**3 - 36*b**2 + 69*b - 34. (b - 34)*(b - 1)**2 Solve 16*d**5 - 68*d**4 - 160*d**3 - 52*d**2 + 24*d = 0. -1, 0, 1/4, 6 Factor -5*z**4/6 - 15*z**3/2 - 50*z**2/3 - 10*z. -5*z*(z + 1)*(z + 2)*(z + 6)/6 Factor -2*l**2/11 + 1526*l/11 - 1524/11. -2*(l - 762)*(l - 1)/11 Find d such that 25*d**5/3 + 260*d**4/3 + 25*d**3/3 - 730*d**2/3 + 220*d/3 + 200/3 = 0. -10, -2, -2/5, 1 Suppose 5*m**5/6 - 35*m**4/6 + 25*m**3/6 + 35*m**2/6 - 5*m = 0. What is m? -1, 0, 1, 6 Suppose 4*u**5/7 - 44*u**4/7 + 36*u**3/7 + 44*u**2/7 - 40*u/7 = 0. What is u? -1, 0, 1, 10 Suppose 5*p**2 - 4040*p - 16240 = 0. What is p? -4, 812 Suppose 4*a**2/7 + 12*a/7 = 0. Calculate a. -3, 0 Factor -6034338*s**2 + 6948*s - 2. -2*(1737*s - 1)**2 Factor 3*o**4 - 210*o**3 + 3231*o**2 + 15540*o + 16428. 3*(o - 37)**2*(o + 2)**2 Solve 1156*a**3/9 + 476*a**2/3 + 32*a + 16/9 = 0 for a. -1, -2/17 Solve 3*a**4/8 - 6603*a**3/8 - 3303*a**2/4 = 0. -1, 0, 2202 Solve 10*t**5/13 + 174*t**4/13 - 502*t**3/13 + 362*t**2/13 + 36*t/13 - 80/13 = 0. -20, -2/5, 1 Let -u**5 + 6*u**4 - 10*u**3 + 11*u - 6 = 0. What is u? -1, 1, 2, 3 Factor -o**2/3 + 212*o/3 - 11236/3. -(o - 106)**2/3 Suppose -c**4 + 19*c**2 - 6*c - 72 = 0. What is c? -4, -2, 3 Suppose 2*s**5 + 46*s**4 + 272*s**3 - 296*s**2 - 3712*s + 5632 = 0. Calculate s. -11, -8, 2 Factor 3*k**4 + 432*k**3. 3*k**3*(k + 144) Solve c**5/5 + 12*c**4/5 + 2*c**3 - 12*c**2/5 - 11*c/5 = 0 for c. -11, -1, 0, 1 Factor 3*u**5 - 36*u**4 - 84*u**3 - 6*u**2 + 81*u + 42. 3*(u - 14)*(u - 1)*(u + 1)**3 Factor 2*i**4 + 274*i**3 - 1118*i**2 + 1406*i - 564. 2*(i - 2)*(i - 1)**2*(i + 141) Factor -a**2/6 - 10*a + 63/2. -(a - 3)*(a + 63)/6 Determine g so that 16*g**3 - 20*g**2 - 188*g + 48 = 0. -3, 1/4, 4 Determine i so that -2*i**3/7 - 250*i**2/7 + 292*i/7 + 720 = 0. -126, -4, 5 Solve -5*l**3 - 10*l**2 + 20*l + 40 = 0 for l. -2, 2 What is u in -1242*u**3/7 + 834*u**2/7 + 410*u/7 - 2/7 = 0? -1/3, 1/207, 1 Factor 5*d**2 - 9150*d + 4186125. 5*(d - 915)**2 Solve -2*j**4 + 190*j**3 - 558*j**2 + 554*j - 184 = 0. 1, 92 Factor -2*o**2/3 - 4*o/3 + 16/3. -2*(o - 2)*(o + 4)/3 Factor 5*z**4 + 860*z**3 + 2545*z**2 + 1690*z. 5*z*(z + 1)*(z + 2)*(z + 169) Suppose -2*u**4 - 612*u**3 - 57458*u**2 - 1627920*u - 14151200 = 0. What is u? -133, -20 Find p such that p**2/5 - 101*p/5 + 20 = 0. 1, 100 Find w such that -4*w**3 + 72*w**2 - 116*w - 192 = 0. -1, 3, 16 Find q such that -50*q**5 + 140*q**4 - 88*q**3 + 16*q**2 = 0. 0, 2/5, 2 Solve -5*z**2 + 60*z - 160 = 0. 4, 8 Suppose -4*m**2 + 148*m + 480 = 0. What is m? -3, 40 Find o such that 4*o**5/5 - 248*o**4/5 + 4864*o**3/5 - 26112*o**2/5 - 73728*o/5 = 0. -2, 0, 16, 24 Factor x**3/3 - 58*x**2/3 - 40*x. x*(x - 60)*(x + 2)/3 Factor l**2 - 36*l - 37. (l - 37)*(l + 1) Factor 2*o**2/11 - 40*o/11 - 42/11. 2*(o - 21)*(o + 1)/11 Solve -5*b**2/4 - 25*b/4 - 5 = 0. -4, -1 Solve -4*i**4 + 12*i**3 + 256*i**2 + 240*i = 0. -6, -1, 0, 10 Factor 2*i**3/7 + 48*i**2/7 - 162*i/7. 2*i*(i - 3)*(i + 27)/7 Find s, given that 6*s**4/5 - 112*s**3/5 + 558*s**2/5 - 324*s/5 = 0. 0, 2/3, 9 Factor -2*y**5/7 + 16*y**4/7 - 30*y**3/7. -2*y**3*(y - 5)*(y - 3)/7 Determine z, given that 3*z**5 + 51*z**4 + 192*z**3 + 144*z**2 = 0. -12, -4, -1, 0 What is r in 2*r**5 - 1044*r**4 + 1036*r**3 + 3136*r**2 - 5214*r + 2084 = 0? -2, 1, 521 Factor -410758*u**3 - 1002528*u**2 - 815616*u - 221184. -2*(59*u + 48)**3 Let -4*p**2 - 24*p - 36 = 0. What is p? -3 Factor 659883*i**3/4 + 1962765*i**2/4 - 12636*i + 81. 3*(i + 3)*(469*i - 6)**2/4 Factor -3*h**4/7 - 927*h**3/7 - 71145*h**2/7 + 72075*h/7. -3*h*(h - 1)*(h + 155)**2/7 Factor 10*u**2 + 1496*u - 600. 2*(u + 150)*(5*u - 2) Suppose -y**2/8 + 11*y/8 - 9/4 = 0. What is y? 2, 9 Solve 9*i**5 + 57*i**4 - 46*i**3 - 82*i**2/3 + 5*i + 7/3 = 0. -7, -1/3, 1/3, 1 Factor b**2 - 96*b + 368. (b - 92)*(b - 4) Factor 2*n**4 - 20*n**3 + 18*n**2 + 104*n + 64. 2*(n - 8)*(n - 4)*(n + 1)**2 Let 12*p**2/13 + 22*p/13 = 0. Calculate p. -11/6, 0 Factor k**4/2 + 3*k**3/2 - 22*k**2 - 24*k + 224. (k - 4)**2*(k + 4)*(k + 7)/2 Solve -3*o**4 - 60*o**3 - 201*o**2 + 1476*o + 7020 = 0 for o. -13, -6, 5 Factor -5*x**4/4 + 25*x**3/2 + 375*x**2/4 - 625*x - 3125. -5*(x - 10)**2*(x + 5)**2/4 Factor n**4/7 - 6*n**3/7 + 9*n**2/7 - 4*n/7. n*(n - 4)*(n - 1)**2/7 Suppose -c**3/3 - c**2 + 6*c + 40/3 = 0. What is c? -5, -2, 4 Determine l, given that l**5/7 - l**4 + 5*l**3/7 + l**2 - 6*l/7 =
{ "pile_set_name": "DM Mathematics" }
3/7)*k*k**(-6))/(k*k*k*k**1)**22)**37 assuming k is positive. k**(-23976/7) Simplify ((u*u**(-10)*u)/((u/u**(-1))/u))/(u**(-3/5))**38 assuming u is positive. u**(69/5) Simplify (l**(-7))**(-2/17)*l**14/l**4 assuming l is positive. l**(184/17) Simplify (i**(2/5)/i)/i*i*i**(-15)*(i**(-14))**(-8/5) assuming i is positive. i**(34/5) Simplify ((f*(((f**2/f)/f)/f*f)/f)**48)**(1/13) assuming f is positive. 1 Simplify (q**(-8)/q)**(-2/73)*q/(q**(5/3)*q)*q*q/((q*q/q**(2/41))/q) assuming q is positive. q**(-3334/8979) Simplify (b/(b/b**4))**(6/7)/(b**(8/5)*b**21/b) assuming b is positive. b**(-636/35) Simplify (((f**2)**(-11))**(3/2))**(1/41) assuming f is positive. f**(-33/41) Simplify ((v**(-2/5))**(28/3)/(v*v**1/v*v)**(-49))**35 assuming v is positive. v**(9898/3) Simplify ((y*y*y*y**10)/y**24)/(((y**(-13/3)*y)/y)/(y*y/((y/(y*y**(1/3)*y))/y*y*y))) assuming y is positive. y**(-13/3) Simplify (w/w**(-1/32)*w**(-1/24))/((w*w/(w**11/w)*w)/(w/(((w**(-3/5)/w)/w)/w*w))) assuming w is positive. w**(5563/480) Simplify (((t/t**0)/t)**(1/97)/(t**(6/11)*t*t**9))**28 assuming t is positive. t**(-3248/11) Simplify h**(-7)*h**13/h*(h/h**(-4))**(-48) assuming h is positive. h**(-235) Simplify (a*a*a*a**(-1/11))**49/(a**(-1/4))**(-4/31) assuming a is positive. a**(48597/341) Simplify ((v/v**(-8))/v*v)**45/(v**(-1/4)*v*v/v**(-8)) assuming v is positive. v**(1581/4) Simplify y**(-1/11)/((y*(y/(y**3/y*y)*y)/y*y)/y)*(y/((y**1*y)/y)*y)**(1/3) assuming y is positive. y**(41/33) Simplify (p**(-5/2)*p)**1/(p**(7/2)/p*p**(-30)) assuming p is positive. p**26 Simplify ((j**(-19)/((j**(-6/17)/j)/j))**(-26))**(10/9) assuming j is positive. j**(73580/153) Simplify ((h/((h**6*h)/h))/(h*h/(h**(1/4)/h))*h**(-5)/h**5)**(-12/11) assuming h is positive. h**(213/11) Simplify (s**(-1/6)*s)**10/(s**(-3/4)/s)**(8/9) assuming s is positive. s**(89/9) Simplify (r*r**2*r*r**7)/(r**(-14)*r*r*r*r*r*r**15*r*r*r) assuming r is positive. r**2 Simplify ((g**0/(g/g**3*g))/(g/(g**3*g*g*g)*g*g/(g*g**(-3)/g)))**4 assuming g is positive. g**4 Simplify ((y*y**34)/y*y**(-1/2))**46 assuming y is positive. y**1541 Simplify (s*s**(2/5)*s**(-17/2)*s)**(-15) assuming s is positive. s**(183/2) Simplify ((u**1*u**(2/3)*u)/(u**0)**(10/7))**(-2/5) assuming u is positive. u**(-16/15) Simplify (t**(-4/3)/t**24)**(-38/7) assuming t is positive. t**(2888/21) Simplify ((u**0*u**(3/4))**(-26))**19 assuming u is positive. u**(-741/2) Simplify (i*i*i**(-8)*i*i)/(i/i**(-3/2))*i**(6/7)/((i*(i**(1/12)*i)/i*i*i)/i) assuming i is positive. i**(-649/84) Simplify (r/(r*r/r**6))**4/(r**(-2/5)/r**(3/4)) assuming r is positive. r**(423/20) Simplify ((q/(q/(q**(-1/9)/q)))/q)**15/(q**5)**(-5/2) assuming q is positive. q**(-115/6) Simplify (t**(-1/9)*t)**(2/93)/(t/t**(-13/5)*t*t**(-8)/t) assuming t is positive. t**(18494/4185) Simplify (((k**(2/27)*k)/(k/(k**(-2)*k)))**(-17))**4 assuming k is positive. k**(1700/27) Simplify ((k*k/k**(1/5)*k*k**2)/(k*k**(2/13)*k**(-3/10)))**(3/23) assuming k is positive. k**(1539/2990) Simplify (h**(-1/3))**(-9/7)/(h**(-1/3)/h)**(-6/7) assuming h is positive. h**(-5/7) Simplify ((((y/(((y*y/(y/(y/y**2))*y)/y*y)/y))/y)/y)**1/(y/(y**(-1/2)*y))**36)**(-4) assuming y is positive. y**76 Simplify ((s**(-1/4)*s**(3/5))**(-43))**5 assuming s is positive. s**(-301/4) Simplify ((w*w**(1/39))/w)/w*w*w**30*(((w/(w*w*w*((w**(-1/5)/w)/w)/w*w*w))/w)/w)/w**(-9) assuming w is positive. w**(7064/195) Simplify (o*(o*o**(-8))/o)/((o*o**(-7)/o)/o)*o/o**(1/12)*o/o**(-2/37) assuming o is positive. o**(1319/444) Simplify (u/(u*((u**(1/3)/u)/u)/u)*u*u**(-20))/(u**(-15)/u*u*u*u/((u**20/u)/u)) assuming u is positive. u**(44/3) Simplify ((v**(-1)/v)/v)**30*(v**(-1/4))**(-23) assuming v is positive. v**(-337/4) Simplify (t/(t**(-10/3)*t*t*t))**(5/7)/(t/(t**(-3/5)/t)*t**(-1/3)/t) assuming t is positive. t**(-11/35) Simplify ((j**(-4)*j*j**(3/4))/(j*j**0)**(-2/7))**17 assuming j is positive. j**(-935/28) Simplify (m*m/(m*m*m**5)*m**(-3/4)*(m/(m/(m*m**(-7)*m*m*m))*m*m*m*m)/m**(-5))**19 assuming m is positive. m**(19/4) Simplify s**(2/3)/(s*s/(s*s**(-7/5)))*(s**0*s*s)**(-1) assuming s is positive. s**(-56/15) Simplify ((c**(-8/3)*c*c)/(c/(c*c*((c/(c**(-25)*c)*c)/c)/c*c)*c))/((c/(c**8*c))/(c/c**(-21))) assuming c is positive. c**(163/3) Simplify x**(-1/8)*x**(-3/13)*x**(4/9)/(x*x**(-14)) assuming x is positive. x**(12251/936) Simplify (z**21*z*z**(-6/11))**37 assuming z is positive. z**(8732/11) Simplify ((b/(b/b**0)*b)**(3/19)/(b**2*(((b/b**6)/b)/b)/b*b))**(-28) assuming b is positive. b**(-2744/19) Simplify ((h**27/h)/h**(2/73))/(h*h**(1/4))**(8/7) assuming h is positive. h**(12542/511) Simplify (((i/i**(-3/5)*i*i)/i**7)/((i*i**2*i)/i)**(-7/9))**(18/5) assuming i is positive. i**(-96/25) Simplify (x**(-1/4)/(x*(x*x**(-2))/x*x))/((x*(x*x/x**(4/15)*x)/x)/x**(-4/7)) assuming x is positive. x**(-1493/420) Simplify (u*(u/(u**(1/3)/u)*u)/u*u*u)/u*u*u/(u*(u*u**2)/u*u)*u**(1/3)/(u/u**(-1/3)) assuming u is positive. u**(2/3) Simplify (i**(-3/5)/(i**(2/31)/i))**(8/11) assuming i is positive. i**(416/1705) Simplify (v**2)**(-30)/(v**(-9/7)/(v/((v/v**(-7))/v*v))) assuming v is positive. v**(-460/7) Simplify (w**(-1)/w**1*(w**1)**30)**(-46) assuming w is positive. w**(-1288) Simplify (t/t**(-6/5))**(-2/23)*t*t**(-17)*t**(-4) assuming t is positive. t**(-2322/115) Simplify ((w*w/(w**(-2/81)*w*w))/w*w*w**1)/(w**(4/9))**41 assuming w is positive. w**(-1393/81) Simplify ((k**(1/5)/k*k)/(k**(-5)*k*k)*k*k*k*k/k**(-7)*k*k/(k/k**(1/2)))**(4/25) assuming k is positive. k**(314/125) Simplify v**(-11)*(v*v**6)/v*v*v**(2/19)*v**9 assuming v is positive. v**(97/19) Simplify (((x*x**(-10)/x)/(x*x/(x/x**(-16))))**(2/5))**(8/7) assuming x is positive. x**(16/7) Simplify (((y**(-15)*y*y)/y)/((y*y/((y/y**(-4))/y))/y*y))**(-12/5) assuming y is positive. y**(144/5) Simplify (n**(-12)/n)**(-12)/(n**30/(n**(-15/2)/n*n*n)) assuming n is positive. n**(239/2) Simplify u**(-4)/(((u**(-6/5)/u)/u)/u)*(u**(5/4))**40 assuming u is positive. u**(251/5) Simplify (c*c**(5/2)/c)**(-30)*((c*c/(c*c**(2/25)))/c)**(-3) assuming c is positive. c**(-1869/25) Simplify ((h*h**12/h)/h)**(-14)/((h/h**17)/(h*h**23)) assuming h is positive. h**(-114) Simplify ((a/(a/a**(-5))*a)/(a/(a/(a**(1/6)/a)))*a**(-6)/a**(2/11))**(-40) assuming a is positive. a**(12340/33) Simplify ((p/p**(-1/5)*p/((p**(1/5)*p)/p))/(p**(-1/5)*p*p/(p*p/((p*p**(-3/7)/p)/p*p)*p)))**(-23) assuming p is positive. p**(-2921/35) Simplify y**1*y**(6/5)/y*y**(-13/4)*y*y*y**(1/6) assuming y is positive. y**(7/60) Simplify (g/g**6*g*g/((g*g*g**7*g)/g))/(g**(-7/4)/(g**(1/6)*g*g)) assuming g is positive. g**(-97/12) Simplify (p**3*p**4/p*(p/(p**(1/2)/p)*p)**(-2/25))**36 assuming p is positive. p**(1044/5) Simplify (g*(g*g*g*g**(8/3)/g*g)/g)/(g/g**2)*(g*g/g**12*g)/(g/(g**(-9)*g)) assuming g is positive. g**(-34/3) Simplify ((c**(-5/6)*(c*c/((c*c/(c*c**(-8)*c))/c*c)*c)/c*c)**(-40))**(-45) assuming c is positive. c**(-10500) Simplify (g/(g/g**(-18))*g**24)/((g/(g/g**(-2/7)*g*g))/g*g**(-1/14)*g) assuming g is positive. g**(117/14) Simplify (((z**(2/7)/z)/z*z)/(z/(z/z**(-2/37))*z))/(z/(z*z**(4/7)))**28 assuming z is positive. z**(3714/259) Simplify ((((t/(t*t*t*t/t**(-2/3)))/t)/t**(-3/4))**(-7))**(1/13) assuming t is positive. t**(329/156) Simplify (h**(-6/7))**(-34)/(h*h*h**(18/5)*h*h*h*h)**(4/13) assuming h is positive. h**(11916/455) Simplify ((r**(2/3)*r)/r)**(-12)/(r**(-2/11))**26 assuming r is positive. r**(-36/11) Simplify g*g*g**18/g*g*g**18*(g*g**(-22))/(g*(g/(g/((g*g**16)/g)))/g) assuming g is positive. g Simplify ((t/(t*t/(t*t/((t/(t/(t*t**(1/4)*t*t*t)))/t)*t)*t))/t)**(1/11)/((t*t*t/(t**(-1/3)/t*t))/(t/(t/t**(-3/7)))) assuming t is positive. t**(-3749/924) Simplify q**(-14)/q**(1/19)*q**(-8)/(q*q*q*(q/((q**14/q)/q))/q) assuming q is positive. q**(-248/19) Simplify (g**1*g*g*g/g**(1/5))/((g*g/(g*g*g*g*g**(-4/5)))/g**(-10)) assuming g is positive. g**(-5) Simplify (f**(-2/9))**(-44)*(f/(f**0/f))**(2/31) assuming f is positive. f**(2764/279) Simplify (q**(-8))**32/(q**6/q)**(-26) assuming q is positive. q**(-126) Simplify o**(3/5)/((o/((o**(-24)/o)/o)*o)/o)*o**(3/2)/(o**(4/11)*o*o) assuming o is positive. o**(-2999/110) Simplify ((s/s**(-4))/s**16)/(s**7/s)**(1/2) assuming s is positive. s**(-14) Simplify ((s/(s*s*s**(-1/6))*
{ "pile_set_name": "DM Mathematics" }
, -26, -7, -65? -7 Which is the nearest to 4? (a) -0.4 (b) -0.0038 (c) -19/23 b Which is the nearest to -123/26? (a) 1/6 (b) 0.5 (c) 2 (d) 0 (e) 9/2 (f) -1 f What is the nearest to 2/7 in -2.084, 2/23, 3.3? 2/23 Which is the closest to 8? (a) 24 (b) 5/4 (c) 28 (d) -147 b What is the nearest to -66.1 in 3/167, 3/2, 1/3? 3/167 Which is the closest to -0.019? (a) -37 (b) 3 (c) -0.1 (d) -37/2 (e) 0 (f) 4/3 e What is the closest to -3 in -0.03, -227, 2/11, 0.1, 1/57? -0.03 Which is the nearest to -719? (a) -3 (b) 5 (c) 8 (d) 0 (e) 18.6 a What is the closest to -1526 in 2058, -2, 1/4? -2 Which is the nearest to 0.1? (a) 37 (b) 5/3 (c) 13558 b Which is the nearest to -33? (a) 0 (b) 9 (c) -20 (d) -5/2 c What is the closest to 2/3 in 10.358, 2/7, -1/4, -44, 4/3? 2/7 Which is the closest to -526? (a) -0.2 (b) -680 (c) 5 b Which is the nearest to -5? (a) 5 (b) 258/11 (c) 3 (d) -3/5 d What is the closest to 1 in 0.43, 153, 0.1, -28? 0.43 What is the nearest to -0.1 in 117662, 1/12, -1/21, -0.4, -5, 1/3? -1/21 What is the nearest to -2167 in 45, 0.2, -1, 1/10, -0.2, 0.4? -1 Which is the closest to -1? (a) 6 (b) -87 (c) -2 (d) 2/11 (e) -2/55 e Which is the nearest to 4? (a) 156 (b) 3/5 (c) -4106 b What is the nearest to 1.02 in 3/2, 2/17, 749, -0.3? 3/2 Which is the closest to -0.1? (a) 14/285 (b) 2 (c) -1828 a Which is the closest to 4/5? (a) -2/19 (b) -3/5387 (c) 64 (d) -0.5 b Which is the nearest to -5/39? (a) 3/56 (b) -5 (c) -6 (d) 0.03 d Which is the nearest to 1/5? (a) -1/4 (b) -12/13 (c) -1/8 (d) 0.2 (e) 2/7 (f) -2.22 d Which is the closest to 2/5? (a) -0.3 (b) -0.5 (c) 3 (d) 3.1 (e) 23/39 e What is the closest to 0 in 0.99, -12357.5, 0.1, -2? 0.1 Which is the nearest to 0? (a) -4 (b) 8/5 (c) -22 (d) 32 b What is the closest to -18/223 in 2/3, 2, 3, -0.2, 0.04? -0.2 Which is the nearest to -0.4? (a) 1 (b) -2 (c) -17 (d) 18876/7 a Which is the nearest to 3? (a) -195 (b) 2/207 (c) 0 b Which is the nearest to 1? (a) 1.0442 (b) 2 (c) 0.16 (d) -3 (e) -1/3 a Which is the nearest to -3/16? (a) -4 (b) 53 (c) 6 (d) -2/17 (e) -1 d Which is the nearest to -1? (a) 1.9 (b) -22 (c) 315 (d) -2 (e) -0.2 e Which is the nearest to 7/1307? (a) -0.11 (b) 3 (c) 3/2 (d) 5 (e) 2/7 a What is the closest to -0.016 in -4/3, 1/3, 0, -1/21, 0.3? 0 Which is the closest to -2/9? (a) -0.5 (b) -0.24 (c) -7669 (d) 0.9 b Which is the closest to 1? (a) 8/33 (b) 142.1 (c) -1 (d) 3/4 d What is the closest to 2/3 in -1, -469, -4, 752, -2/17? -2/17 What is the closest to -5 in 3/10, -4, -134, 4? -4 Which is the closest to -0.3? (a) -0.2 (b) 3 (c) 0.1 (d) 5/4749 a Which is the nearest to 31? (a) 0 (b) 205612 (c) -4 a What is the closest to 1 in 3699609, 4, -4? 4 Which is the closest to 24? (a) 140 (b) 3/8 (c) -14 (d) 5 d What is the nearest to -3 in 3, 0.2, 1, -1130, 2/7? 0.2 Which is the closest to -12/97? (a) -2409 (b) -27 (c) 5/6 c What is the closest to -4 in -3/8, 143571, 2? -3/8 Which is the nearest to 0? (a) -3 (b) 8 (c) 0.2 (d) -277 (e) -2 c What is the closest to 2 in -3, -1.152136, -1/2, -0.3, 2? 2 Which is the nearest to -22? (a) -2/15 (b) -15 (c) 1 (d) 2/5 (e) 14/167 (f) 0.2 b What is the closest to 4/3 in -5, 1/6, -40.2757, -12? 1/6 Which is the closest to 2/23? (a) 175.321 (b) -2 (c) -3 b What is the nearest to -1523 in 1, -0.1, 0.071, 4, 0? -0.1 What is the nearest to -11 in 421, -1/26, 95? -1/26 What is the nearest to -1 in -11, -0.2, -0.8, 288, -0.5? -0.8 What is the nearest to 114 in -0.28, 275, 3/4, -0.5? 3/4 What is the nearest to 1 in -3, -11426, -1, 2, 0.1? 0.1 What is the closest to 6001 in 1/2, 2/13, -78, 5? 5 Which is the closest to -1? (a) -0.1 (b) 0.4 (c) -21/5 (d) 5 (e) 46 a Which is the nearest to -0.5? (a) -41 (b) -5 (c) 110 (d) -2.8 d What is the closest to -1055/4 in 5/6, 1/6, -2, 0.3? -2 What is the closest to 574 in 5, 2, -0.03, -3/5, -0.1, 4? 5 What is the nearest to 1 in 0.02, 3, 8524? 0.02 Which is the closest to 16? (a) 4 (b) -4 (c) 27914 a Which is the closest to 25? (a) 65 (b) 2/3 (c) -0.5 (d) -0.08 (e) 0.97 e Which is the nearest to -1480/11? (a) -6/7 (b) -3 (c) 1/5 (d) 6 (e) -2/5 b What is the closest to -0.1 in 2/15, -0.141, 1185? -0.141 Which is the nearest to 8/3? (a) -1345 (b) 1821 (c) -2 c Which is the nearest to 1/4? (a) -0.5 (b) -2 (c) -5 (d) -0.4421 d Which is the nearest to -4? (a) -1.54 (b) 266/13 (c) -0.4 a Which is the closest to -76086? (a) -27 (b) -1 (c) -9/2 (d) 2/13 a Which is the closest to -2/5? (a) -37 (b) -4.22 (c) 2 (d) -2 (e) -2/11 (f) 3 e What is the nearest to 0.4 in 3/19, 13, 2/9, -2/49, 3? 2/9 Which is the closest to -1/3? (a) -266 (b) 8 (c) -439 (d) 1 d What is the closest to 1355511 in -2/5, -1/4, 0.5? 0.5 Which is the closest to -0.59? (a) -5 (b) -4/5 (c) -2/7 (d) -1/4 (e) -82 b What is the nearest to -1/26 in 945/37, -4, -2/3? -2/3 What is the closest to -0.1 in 3, 58/21, 0.7, 740/7? 0.7 Which is the closest to -1.9? (a) 0.5 (b) 3.2 (c) 2 (d) 6/11 (e) 4 a Which is the closest to 1? (a) -0.5 (b) -1/4 (c) 0.1377 (d) 5 (e) 3 c What is the nearest to -338 in -1/8, -3, 2182/5, 5? -3 What is the nearest to 12 in 4, -2.1, 6/29, -442, 1/5? 4 What is the nearest to 42 in 453, -2803/2, -5? -5 What is the nearest to -1 in 5674, 2/9, -6/13, 0.4? -6/13 Which is the nearest to -8? (a) -2 (b) -4 (c) 2/3 (d) 0.2 (e) 32370/7 b Which is the nearest to -2? (a) 2/47 (b) 1/6 (c) 2143 (d) 0.2 a What is the nearest to 2/13 in 1/12, 19/3, -1/3, -808? 1/12 What is the nearest to -2774/5 in 3/4, -0.2, 10, 0.1? -0.2 What is the nearest to 770 in 0.2, -85, -0.2? 0.2 What is the closest to -2/109 in -3, 0, 3, 2/5131? 0 Which is the nearest to 0.12? (a) -5.3 (b) -8 (c) 3/8 (d) -1 (e) -0.2 (f) -5 c What is the closest to -0.19 in -24, -18532, -1? -1 What is the closest to -2 in 1, -4/5, -3/20, -114/13? -4/5 What is the closest to 0 in 5, -2/5, -11, -2/31, 0, -7? 0 Which is the nearest to 3? (a) -1/4121 (b) 1 (c) -1/17 b Which is the closest to 2/17? (a) -102928/43 (b) 5 (c) -2 c What is the closest to -1/10 in -3, 3, -6000429? -3 Which is the nearest to -2? (a) 151 (b) 0.4 (c) 4 (d) 5/4 (e) -2 (f) -0.059 e What is the nearest to -1 in 22331, 469, 0.3? 0.3 What is the nearest to -0.22 in 8845, -3, 3/10? 3/10 Which is the nearest to 2/5? (a) 150473 (b) -30 (c) -6 (d) -0.2 d Which is the nearest to 3? (a) -1/67 (b) 313.1 (c) 1 (d) -1 (e) 3 e Which is the closest to 2/61? (a) 134 (b) -0.3 (c) -2/7 (d) 5/2 (e) 1 c What is the nearest to -0.1 in 20943, 0.3, 20? 0.3 Which is the closest to 1.27? (a) -5 (b) -4.9 (c) -5/3 c What is the closest to 12 in -0.91, 2, 9? 9 What is the nearest to -56.1 in -82, -677, 0.2? -82 Which is the nearest to 0? (a) -1/2 (b) -4 (c) -1/3 (d) 0.07 (e) 518 d Which is the nearest to -10? (a) 1/4 (b) 15/8 (c) -0.393 (d) 3 (e) 2/9 c What is the nearest to 0 in 2/9, 2/5, 55226? 2/9 Which is the nearest to -0.3? (a) -2 (b) 69 (c) -4 (d) 1.96 (e) -2/81 (f) 3/5 e Which is the nearest to -0.05? (a) -2606 (b) 1/4 (c) 0.5 b What is the closest to -218 in -706/17, 0.4, 4? -706/17 Which is the closest to 2? (a) -0.3 (b) -5 (c) -2/2265 (d) -0.14 (e) -6 c Which is the nearest to -2/7? (a) 0.043 (b) -0.6 (c) -1 (d) 25 (e) 3/8 (f) -60 b What is the nearest to 2/3 in 255, 7/20, 16? 7/20 Which is the closest to 0.1? (a) -745 (b) -4/3 (c) 2/9 (d) 2 (e) 2.2 c What is the nearest to 2/3 in -0.2, -3, -11, -32.32, 4, -0.06? -0.06 Which is the nearest to -0.4? (a) 5 (b) -4 (c) 1/5 (d) 1/3 (e) -681 c Which is the closest to -1/3? (a) -0.43 (b) 5 (c) 4/3 (d) 6/121 (e) -1/32 (f) 2 a What is the closest to -0.07 in -46, -0.041, -2/3, -0.6? -0.041 Which is the closest to 1? (a) 3 (b) 0.5 (c) 6/5 (d) -0.03 (e) 45 (f) -4234 c Which is the closest to 1915? (a) 11 (b) 3/2 (c) 5/4 a Which is the closest to -0.1? (a) -0.0601 (b) -1 (c) -3 (d) -2 (e) -5/1021 (f) -5 a What is the nearest to 0 in 0, -0.03051, -4, 8, 3? 0 Which is the nearest to -2/3? (a) 7/19 (b) -4 (c) 1/51 (d) -0.4 (e) 5/13 (f) -0.05 d Which is the closest to -0.07? (a) -38 (b) -6 (c) -2/
{ "pile_set_name": "DM Mathematics" }
alse Suppose -2*k + 28 = 2*u + 2*k, -2*k + 2 = -2*u. Suppose -5*o + 36 = 2*m, m - 8 = -u*o + 19. Suppose o*p - 92 = 2*p. Does 6 divide p? False Let d = -13 + 144. Is 35 a factor of d? False Let r = 12 - 7. Suppose -o - 3*o = -r*g + 186, -5*g + 2*o + 188 = 0. Is g a multiple of 14? False Is 29 a factor of (-24)/60 - 584/(-10)? True Let r = -100 + 212. Suppose 2*w - 2*n - r = 0, 3*w + 2*n = -0*w + 173. Suppose -6 = 2*o - 5*k - 25, 0 = -3*o - 2*k + w. Does 13 divide o? False Suppose 9 = -v + 78. Does 23 divide v? True Let p(z) = z + 2. Suppose 4*o = -3*n - 3, 5*o - 2*n = -5*n. Let d be p(o). Suppose 5*t - 39 = y, 10 + 34 = d*t + 4*y. Is 4 a factor of t? True Let h(r) = -10*r**3 - 3*r**2 + 2*r - 1. Let k(b) = 20*b**3 + 6*b**2 - 4*b + 2. Let g(d) = -7*h(d) - 3*k(d). Is g(2) a multiple of 28? False Let t = -36 - -51. Let r = t + 0. Is 12 a factor of r? False Suppose 2*h - 4*q + 284 = 0, q - 198 - 349 = 4*h. Suppose -f + 6 = -16. Is 6 a factor of (-2)/11 - h/f? True Suppose 2*k - 176 = -k + i, -188 = -3*k - 2*i. Is k a multiple of 21? False Let c = -6 - -11. Suppose 4 = p + 5*x + 19, -c*x = 20. Suppose -p*z + z = -44. Is z a multiple of 7? False Let c(j) = 6*j**2 + 11*j - 8. Let s(k) = -k**2 + 1. Let w(a) = -c(a) - 5*s(a). Is 3 a factor of w(-11)? True Let a = -1040 + 1484. Is 24 a factor of a? False Let u(k) = k**2 + 69. Let l be (-22)/77 - 2/(-7). Does 23 divide u(l)? True Suppose 0 = -w - 0*w. Let q(m) = -m**3 + 3. Does 3 divide q(w)? True Is (0 + -26)/(-1 - (-1 - -2)) a multiple of 3? False Let f(l) = -l + 6. Suppose -2*b - 12 = g, -b + 2*b = -5*g - 33. Does 12 divide f(g)? True Let q(l) = -3*l**3 - l**2 + l + 1. Let d be q(-1). Suppose -2*y = 4*t, 0 = 5*t - d*y + 6*y. Suppose t*x = -3*x + 57. Is 11 a factor of x? False Let b be 1*4*9/4. Let q = 48 + b. Suppose 0 = -4*c + c + q. Does 10 divide c? False Is 12 + -15 + 5*1 a multiple of 2? True Let r = 19 - 11. Suppose -2*z = -0*z - r. Is z a multiple of 3? False Let f be 17/3 - 2/3. Is (-1)/f + (-51)/(-5) a multiple of 5? True Suppose 4*g + 740 = 3*b, -797 = -4*b - 4*g + 143. Suppose -4*u + 0*u = -b. Does 30 divide u? True Let z(u) = -2*u**3 + u**2 + 2*u - 1. Suppose 3*l - 24 = 3*v, -4*l - 1 = 4*v - 9. Let n = 3 - l. Does 15 divide z(n)? True Let y(b) = 5*b + 13 - 2*b - 4*b. Is 11 a factor of y(-9)? True Let g(h) = 2*h - 5. Let d be g(4). Suppose -d*n + n + 4*u + 14 = 0, -4*n = -4*u - 28. Is 7 a factor of n? True Let s(v) = -6*v - 4. Is s(-3) a multiple of 14? True Suppose -k - 2*k = 15. Let h(i) = -13*i + 1. Let d be h(k). Let r = d + -29. Does 13 divide r? False Let g be (-2)/(-6) - (-392)/12. Suppose -4*y + 3*a + 76 = 0, 5*y - 63 = 4*a + g. Does 4 divide y? True Suppose 0 = 2*v + 3*v. Suppose 0*o - 5*o = -w - 109, v = 2*o + w - 38. Is o a multiple of 10? False Is 18 a factor of (-4 + 4 - -5) + 73? False Suppose -13 = g + 44. Suppose 63 = -3*h + 2*j - 5*j, 4*h + 2*j + 76 = 0. Let v = h - g. Does 15 divide v? False Let o = 0 + 0. Let c = o + 2. Suppose -5*x + c*x + 45 = 0. Is 6 a factor of x? False Let f = -181 - -240. Is 59 a factor of f? True Suppose -6*i + 459 + 9 = 0. Does 26 divide i? True Let b(s) be the first derivative of -s**4/4 + 4*s**3/3 + 3*s**2 - s + 2. Does 16 divide b(4)? False Let k(p) = 2*p - 8. Let r be k(8). Let z(c) = 7 + 2 - c**2 + r. Is 15 a factor of z(0)? False Suppose -3*w - 20 = 2*w. Is 10 a factor of (-2)/(w/18) - -1? True Suppose 7 = 2*m + 3. Suppose -m*r + 2 = -r. Does 11 divide r/6 + 64/6? True Let w = 4 + -2. Suppose s = w*z + 3*z + 61, -4*s - z + 286 = 0. Does 20 divide s? False Suppose -3*x = -6, 4*x + 16 + 8 = 4*p. Suppose -22 = -2*u + p. Suppose 3*o - u = -0*m - 3*m, -3*m - 5*o + 13 = 0. Does 3 divide m? True Suppose 0 = -5*p + 3*v + 471, -5*p + 208 = -2*v - 266. Suppose -g - u + 30 = u, 3*g + 3*u = p. Is g a multiple of 21? False Suppose -62*y = -65*y + 987. Does 19 divide y? False Suppose l + 216 = 3*l. Does 31 divide l? False Let f = -10 + 5. Let x(l) = l**2 - 4*l - 1. Let y be x(5). Does 8 divide (y/f)/(1/(-20))? True Let o = -41 - -176. Is o a multiple of 27? True Let i(y) = 6*y + 4. Let m(l) = -l**2 - 11*l - 7. Let f be m(-10). Is i(f) a multiple of 9? False Let d(r) = r**3 + r**2 - 2*r + 2. Let h be d(3). Let c = h - 16. Is 4 a factor of c? True Let x(k) = k + 7. Let g = -13 + 24. Is 9 a factor of x(g)? True Suppose -4*x = -j + 4, j - 2 = 3*x + 3. Let r(s) = s**2 - 7*s - 3. Let p be r(j). Suppose p*k - 31 = 4. Is 5 a factor of k? False Let i(v) = 2*v**3 - v**2 + 2*v - 4. Let s be i(3). Suppose 5*u - 3*u + 10 = 0, -b = -u - s. Is 14 a factor of b? True Suppose 2*f - f = 4. Let v(m) = 13*m - 4. Is 13 a factor of v(f)? False Suppose -2 = -3*z - 11. Let p = z - -4. Suppose b - p = 6. Does 3 divide b? False Suppose 3 = 2*c - 1. Let f(u) = u**2 + 2*u + 1. Is f(c) a multiple of 4? False Let v(a) = 5*a**2 - a + 1. Let i = 5 - 4. Let n be v(i). Suppose 55 = n*x - 0*x. Does 11 divide x? True Suppose -4*b + 4*a - 8 = 0, 0 = 4*a - 21 + 5. Suppose -6*v = -b*v - 144. Is 16 a factor of v? False Let o = -1 + 6. Suppose o*j = -2*a + 154, 2*j - 62 = -0*j - a. Does 10 divide (2 + j/(-9))*-18? False Let n = 1 + -1. Let d = n + 1. Does 15 divide ((-2)/((-6)/45))/d? True Let i = 245 - 143. Is i a multiple of 39? False Let v = 10 + -7. Suppose 4*q + 8 = v*r - 27, -5*r + 4*q + 45 = 0. Does 2 divide r? False Suppose -6*j + 3*j = 0. Suppose j = -3*v - 2*v + 50. Does 3 divide v? False Suppose 2*z + 4 = 4*s - 12, -35 = 4*z - 5*s. Is 4 a factor of (2 + -4 + z)/(-1)? True Suppose 0 = 5*d - 0*d + 3*c - 70, 31 = d + 4*c. Does 4 divide d? False Suppose -6 = a + 3*t + 4, 10 = -3*a - 5*t. Suppose -k = -a*g + g + 357, 3*g = 5*k + 289. Suppose -3*z + x + g = 0, -z - 3*x + 36 = -2*x. Does 12 divide z? False Suppose -4*p + 39 = 3*n, 0*p + 20 = n - p. Let g = 166 + -106. Suppose 3*d = 3*c + 51, -c - g - n = -4*d. Is 14 a factor of d? False Suppose 0 = w + 2*w - 186. Let n be (1/(-1) - -1)/(-1). Suppose 0 = 5*c + 10, n = -6*f + 3*f - 5*c + w. Does 12 divide f? True Let o = -8 + 10. Let w be -2 - -5 - (1 + o). Suppose -t + 30 = 3*t - 2*k, w = -5*t - 3*k + 43. Is t a multiple of 8? True Suppose 0 = -5*x + 227 + 78. Suppose -4*v = -183 - x. Is v a multiple of 24? False Suppose -i = 2*m - 9, -3*m + 7 = -10*i + 5*i. Suppose -m*d = -8, -v = -0*v + 2*d - 37. Does 11 divide v? True Let s(x) = 37*x**2 + 5*x + 6. Is s(-2) a multiple of 36? True Let r = 399 + -208. Does 42 divide r? False Let j = 6 + -10. Is 2 a factor of 7/(2/(j - -6))? False Let u = 89 + -54. Is 7 a factor of u? True Let f be (-6)/8 + 850/(-40). Is 383/11 + (-4)/f a multiple of 25? False Let n = -4 - -8. Suppose -n*u + 12 = -u. Suppose -19 + 3 = -4*a, 5*a - 92 = -u*s. Does 18 divide s? True Let i(h) = h**2 - 7*h. Let o be i(4). Does 8 divide 44/6 - 8/o? True Suppose 0 = -3*y + 2*d + 29, 2*d = -4 + 2. Let j = y + -4. Is 5 a factor of j? True Let t(r) = -2*r - 6. Let h be t(-8). Suppose y = -y + h. Suppose -v + 5*q = -16, y*q = -3*v + 16 + 12. Does 4 divide v? False Let n be -2 - -92 - -1*3. Suppose -4*t + 87 = -n. Is 9 a factor of t? True Let s = 21 - 20. Is 18 a factor of 17 - s - (-2 - 0)? True Does 21 divide 280/2 + 5 + -2? False Let s be 440/6 + (-6)/(-9). Suppose -6*a = -5*a + 44. Let f = s + a. Is f a multiple of 15? True Let j(q) be the third derivative of q**6/120 + q**5/30 - 5*q**4/24 - q**3/2 + 3*q**2. Let p be j(-4). Let f = 37 + p. Is f a multiple of 11? True Suppose 0 = 4*m - q - 19, -3*m = 2*m + q - 35. Let p = m + -4. Suppose 4*l - 22 = 5*n, 3*n - 6 = -2*l - p*l. Is 2 a factor of l? False Let i(b) = 4*b + 1. Let z be i(-2). Let c = z + 4. Does 16 divide 2/c - 355/(-15)? False Suppose 5*o = -2*h + 351, 153 + 51 = 3*o - h. Is o a multiple of 23? True Let h(o) be the third derivative of o**4/24 + 3*o**3 - 2*o**2. Let z(n) = -n**3 + 4*n**2. Let t be z(4). Is h(t) a multiple of 7? False Let t(y) = 118*y - 1. Let k be t(-2). Does 13 divide 4/6 - k/9? False Let x = 26 - 19. Is 3 a factor of x? False Suppose 4*f - 1376 = 5*h - 180, 16 = -4*h. Is 10 a factor of f? False Let i be ((-1)/(-2))/((-2)/(-60)). Suppose -5*b - 2*v + 1 = -1, -16 = 4*v. Suppose b*j - i = -j. Is j a multiple of 5? True Let n be (-5)/2*(-10 - -8). Suppose -2*z = -2*o + 30, -21 = -o + n*z + 2. Does 13 divide o? True Suppose y = -2*d + 22, 2*d - 4*d = 5*y - 1
{ "pile_set_name": "DM Mathematics" }
85 divided by 5. -6974377 What is -369041864 divided by 92260466? -4 -61543914 divided by 35823 -1718 Divide -105873 by 118. -105873/118 Calculate 942367833 divided by 43. 21915531 Calculate -33062 divided by -135. 33062/135 What is -49318 divided by 82? -24659/41 Calculate 32760866 divided by 37186. 881 What is -160672600 divided by -4? 40168150 -4 divided by 74196515 -4/74196515 4 divided by -365212002 -2/182606001 Calculate -3922 divided by -121. 3922/121 What is -2536470 divided by -11? 2536470/11 Calculate 14065152 divided by -16. -879072 Calculate 310 divided by -935918. -155/467959 What is -25189434 divided by -27? 932942 What is -2721707 divided by 5? -2721707/5 -2388 divided by 8619 -796/2873 Calculate -699473 divided by -6791. 103 -38054 divided by -127 38054/127 Divide -46075 by -4647. 46075/4647 2660239 divided by -8 -2660239/8 Divide -4751879 by 4751879. -1 Calculate -339 divided by -142461. 113/47487 Divide 67178500 by -41. -1638500 Divide 3115636189 by 2. 3115636189/2 What is 196852978 divided by 427? 461014 What is 127 divided by 434115? 127/434115 -23189593 divided by -473257 49 What is -18 divided by -6778113? 6/2259371 Calculate 40083120 divided by 945. 42416 What is -80327 divided by -2369? 80327/2369 Divide 39013345 by -27187. -1435 199763924 divided by 4 49940981 What is 84939965 divided by 1? 84939965 Divide 155348 by -139. -155348/139 -2 divided by 4808252 -1/2404126 -121361825 divided by -7265 16705 1196963934 divided by 146346 8179 Calculate 287146 divided by -273. -287146/273 Divide 16039881 by 11979. 1339 19 divided by -29633041 -19/29633041 Divide 79441340 by -5. -15888268 Divide -3320750 by -185. 17950 Divide -157 by -39481. 157/39481 Divide -677580 by 5. -135516 39 divided by -1394217 -13/464739 Calculate -2260312 divided by 268. -8434 What is 12908145 divided by 4302715? 3 Divide 25348404 by -6172. -4107 Divide 50675490 by -6. -8445915 37 divided by -883111 -37/883111 Divide -214025 by -1. 214025 11235444 divided by -44 -255351 Calculate 5304151 divided by -5304151. -1 Calculate -773 divided by 1818. -773/1818 Divide 12 by -1708892. -3/427223 What is -41350540 divided by 10337635? -4 Divide -1758002 by 5. -1758002/5 Calculate -431 divided by -23399. 431/23399 Calculate 522 divided by 8482. 261/4241 Calculate 22 divided by 264856. 11/132428 What is 3162148 divided by -1581074? -2 Divide -26066016 by 362028. -72 What is 26199712 divided by 26199712? 1 Divide 8126 by -472. -4063/236 1611771 divided by -10 -1611771/10 Divide 930610 by 93061. 10 Divide -3779564 by -944891. 4 Divide -19024 by 48327. -19024/48327 -3189504 divided by -768 4153 1606 divided by 1986 803/993 Calculate -16639490 divided by -70. 237707 What is 30279618 divided by 5? 30279618/5 Calculate -3459848 divided by 3986. -868 Calculate -29617 divided by -16. 29617/16 Calculate 9207 divided by 3863. 9207/3863 -1543259165 divided by -31495085 49 -43078 divided by -40 21539/20 -5 divided by 163348641 -5/163348641 -6494308 divided by 3247154 -2 Calculate -416759184 divided by 48. -8682483 Divide 425 by 31233. 425/31233 -95278 divided by -3698 47639/1849 Divide -8524196 by 4. -2131049 Calculate -1101753 divided by 27. -122417/3 Divide -6025764 by 2. -3012882 Calculate -6557253 divided by -24559. 267 What is 57215675 divided by -3? -57215675/3 What is 10168760 divided by 11053? 920 16266871 divided by 14563 1117 What is -3 divided by 1780664? -3/1780664 Divide -31675280 by 166712. -190 What is 3 divided by 1855731? 1/618577 What is -318590800 divided by 12743632? -25 What is -71423312 divided by -164? 435508 Divide -4310290 by 4310290. -1 796621 divided by 7 113803 Calculate 4452689 divided by 10. 4452689/10 Calculate -1 divided by -4808076. 1/4808076 Divide -132141961 by 2. -132141961/2 Calculate 1398910 divided by -699455. -2 Divide -14850792 by -150008. 99 Calculate 22104927 divided by 213. 103779 Divide 38318666 by -4093. -9362 What is 13635 divided by 137? 13635/137 -1427 divided by -14837 1427/14837 Divide -38 by 1124700. -19/562350 Calculate 199 divided by -809573. -199/809573 -475 divided by 89589 -475/89589 491463 divided by -609 -807 Divide -221 by 112417. -221/112417 Divide -3 by 836303. -3/836303 Divide 118847406 by 39615802. 3 Calculate 4349344 divided by -2732. -1592 Divide -4930701 by -1. 4930701 6777461 divided by -5 -6777461/5 Calculate -463080 divided by -5. 92616 What is 2217978 divided by 58? 38241 Divide 19831070 by -4. -9915535/2 What is 450724211 divided by 43603? 10337 Divide -5122437 by 1. -5122437 What is -113829 divided by 79? -113829/79 Calculate -17 divided by -795824. 17/795824 Divide 55 by -1083514. -55/1083514 66263277 divided by 3 22087759 Divide -3749317 by -11. 340847 What is 7576 divided by 6580? 1894/1645 -1712170560 divided by -7104 241015 Calculate 4413 divided by -6114. -1471/2038 14016169 divided by 5 14016169/5 What is 114054670 divided by -2447? -46610 Divide 399949 by 78. 399949/78 12107 divided by 9785 12107/9785 Divide -26451798 by 4408633. -6 Calculate 39565714 divided by -38. -1041203 105 divided by -18099 -35/6033 Calculate 125743 divided by 1422. 125743/1422 Calculate 113204247 divided by 151. 749697 Divide 27521498 by 2. 13760749 Divide 225 by 662620. 45/132524 What is -47700855 divided by -9? 5300095 What is 663538746 divided by 3? 221179582 What is -17213550 divided by 1? -17213550 Calculate -793314 divided by -4482. 177 What is -2 divided by 4620586? -1/2310293 Divide -1353 by 32490. -451/10830 5 divided by 3635148 5/3635148 What is 4 divided by 12410442? 2/6205221 Calculate 0 divided by 60979578. 0 What is 11109258 divided by 3681? 3018 Divide 0 by -2886302. 0 Calculate -555229400 divided by 25237700. -22 Calculate 3931889 divided by 1. 3931889 What is 9584988 divided by 1597498? 6 What is -2999 divided by -779? 2999/779 Divide -6541590 by 43. -152130 -225 divided by -25301 225/25301 Calculate -2958828 divided by 1479414. -2 Calculate -17 divided by -12987. 17/12987 Calculate -878168885 divided by 4. -878168885/4 Divide 737053581 by -9673. -76197 Calculate 3865056 divided by 74328. 52 Calculate -1181419 divided by 12. -1181419/12 -114181509 divided by 127 -899067 334140940 divided by -3 -334140940/3 Divide 63404721 by -207. -306303 -225962432 divided by 97904 -2308 Divide -2216871 by 3. -738957 -41 divided by 18424 -41/18424 What is 7414 divided by 91? 7414/91 3 divided by 6874095 1/2291365 Calculate 69766015 divided by 13953203. 5 What is -693796 divided by -4? 173449 -517011 divided by -15667 33 -12345 divided by -21943 12345/21943 -63726906 divided by -6 10621151 Calculate 40164544 divided by -1. -40164544 Divide -789588275 by 157917655. -5 -374448 divided by -211 374448/211 Calculate 31187436 divided by -15593718. -2 Calculate 858462 divided by -78042. -11 What is -78513904 divided by -2707376? 29 Divide -3 by 334667. -3/334667 Divide 6172880 by 584. 10570 Divide 52415300 by -374395. -140 Divide -401561 by -155. 401561/155 16298454 divided by 5 16298454/5 Calculate 0 divided by -111391758. 0 Divide 167346673 by 3679. 45487 -35107 divided by 1378 -35107/1378 What is -26865 divided by -4? 26865/4 What is -7152600 divided by 655? -10920 What is -761 divided by -111412? 761/111412 Divide -107692 by -1162. 53846/581 Calculate 4 divided by 30257345. 4/30257345 -103658 divided by 25 -103658/25 What is 240183630 divided by 6345? 37854 What is -11177454 divided by -6? 1862909 What is -10227134 divided by 3? -10227134/3 -94769948 divided by -3384641 28 Divide -475986 by -209. 475986/209 Divide -11832 by 36. -986/3 Calculate -1 divided by 352291103. -1/352291103 What is -1931892270 divided by 386378454? -5 Calculate -728 divided by 1268490. -364/634245 What is 410554080 divided by -97380? -4216 Calculate 4 divided by 22957540. 1/5739385 11330010 divided by -87 -130230 Divide 708464 by 8. 88558 What is 5 divided by 1541547? 5/1541547 60878016 divided by 3382112 18 Calculate -53 divided by -16055. 53/16055 Divide 3743295 by 5. 748659 Calculate -26068714 divided by 3724102. -7 What is -120513285 divided by -248481? 485 -12001252728 divided by -4 3000313182 Divide 890 by -488. -445/244 What is 487784984 divided by -8? -60973123 Divide -1425 by -320116. 1425/320116 Divide 14224500 by -1635. -8700 What is -201
{ "pile_set_name": "DM Mathematics" }
e nearest to 1 in -0.5, 13, 2/15? 2/15 What is the nearest to -0.3 in 4, -0.009, 5? -0.009 What is the nearest to 2 in 2, 0.6, 0.4, -0.3? 2 Which is the closest to -20? (a) 1 (b) -2/3 (c) 112 b What is the closest to 29 in 2, -2, -1, 1? 2 What is the closest to 6 in 0.5, -3, 0.03? 0.5 What is the nearest to 3 in -2/3, -0.2, 5, -62? 5 What is the closest to 2/7 in 5/6, 8, 1? 5/6 Which is the closest to -6? (a) -3.3 (b) 4 (c) -1/6 (d) 0.5 a What is the closest to 0 in -0.009, -4, 0? 0 What is the closest to 1/2 in -8, 0.06, -4, 0? 0.06 Which is the nearest to 2/9? (a) -3 (b) -2 (c) -4 (d) -1/5 d Which is the closest to -2/3? (a) -0.02 (b) -4/9 (c) 1/189 b Which is the closest to -2? (a) 0.1 (b) -1/3 (c) 4 (d) -4 b What is the closest to -0.2 in 3, -4, -259? 3 What is the closest to 0.1 in -3, 5, 0.2, 13? 0.2 What is the closest to 0.07 in 1.5, 0, -3/5? 0 Which is the nearest to -1/2? (a) 1 (b) 94 (c) 0.4 c Which is the nearest to 27? (a) -2 (b) -2/3 (c) 3 (d) 0.1 c What is the nearest to 0.1 in 0.9, 0.2, 3/4, -2? 0.2 What is the closest to 2/3 in 4, -0.33, -2/11, -2? -2/11 Which is the closest to 2/11? (a) 1/2 (b) 4 (c) 1/7 c What is the nearest to -2 in -4, 0.1, -4/5, 4? -4/5 What is the nearest to 21 in 3, 1, -10? 3 What is the nearest to -2/15 in 0.4, -4/15, 5? -4/15 Which is the closest to 0.1? (a) -19/134 (b) -1 (c) -0.5 a What is the closest to -0.4 in -4, 0.2, -11? 0.2 Which is the closest to -97? (a) 0.2 (b) 9 (c) -1/2 (d) 2 c Which is the closest to -1? (a) 5 (b) -0.4 (c) 3/29 b Which is the nearest to 10? (a) -3/8 (b) 31 (c) 0.5 (d) -0.3 c Which is the closest to 0? (a) 0.2 (b) -0.1 (c) -5 (d) 80.5 b What is the closest to 2 in 0.3, -1, 2/15, 1/3? 1/3 Which is the nearest to 0.1? (a) 0.002 (b) -4 (c) -2/7 a Which is the closest to 0.7? (a) -4 (b) 2/9 (c) -1 b Which is the nearest to -2/9? (a) 4 (b) -11 (c) 2 c What is the nearest to -14 in -2, 1/2, -4, -2/11? -4 Which is the nearest to 0.02? (a) 1 (b) -0.3 (c) -0.08 (d) -3 c What is the nearest to 5 in -2/7, 2/5, -2, -7? 2/5 What is the nearest to 1 in 0.33, 1/3, 0.06, 3? 1/3 Which is the closest to -0.07? (a) -0.09 (b) 0.2 (c) 1 a What is the nearest to 2 in -1/2, 0.1, 2.5? 2.5 What is the nearest to 1 in -0.74, -0.7, 0, 7? 0 What is the closest to 0 in 1, 0.3, -5/4, -2/5? 0.3 Which is the closest to -1.6? (a) -2 (b) -5 (c) -2/11 (d) -0.04 a What is the nearest to -2/5 in -19, -0.4, -0.5, -1/3? -0.4 What is the nearest to 0 in -2/5, -2/7, 0.3, 1? -2/7 Which is the closest to 0? (a) 14/103 (b) -0.2 (c) 10 a Which is the closest to -1? (a) -0.181 (b) -3/8 (c) 1/10 b What is the closest to 36 in 1, -0.4, -4/7, -3? 1 Which is the nearest to 6/13? (a) -4 (b) -3 (c) -3/4 (d) -1 c What is the closest to 3 in -1, 0.3, 0, 3? 3 Which is the nearest to -2? (a) 2 (b) -0.201 (c) 1/3 b Which is the nearest to 1? (a) -32 (b) -0.07 (c) -0.4 (d) 0.5 d What is the closest to -37 in 1, -8, 2/9? -8 What is the closest to 2/67 in 4, -2, -0.5? -0.5 Which is the nearest to -0.1? (a) 4 (b) -2/55 (c) 0 (d) -1 b What is the nearest to 1/3 in -5, 0.1, 1083, -2/5? 0.1 What is the closest to 2/13 in 0.4, -0.19, 47/4? 0.4 Which is the closest to -0.05? (a) -20 (b) -0.3 (c) 6 (d) -4 b Which is the closest to 1? (a) -3 (b) -2/7 (c) -1/6 c What is the nearest to 0.2 in -0.4, -3, -5, -4? -0.4 Which is the closest to -1? (a) -1 (b) -3 (c) 4/7 a Which is the nearest to -7? (a) 0.3 (b) 40 (c) -0.1 c What is the closest to 1 in 1, 3, 0.3, -8/13? 1 Which is the closest to -0.1? (a) 3 (b) -0.4 (c) -0.06 c Which is the closest to -3? (a) -2 (b) -1 (c) 2/7 (d) 0 a Which is the closest to -154? (a) 5 (b) 0.4 (c) 4 b What is the nearest to 2/5 in 2/7, 1098, -0.1, -0.3? 2/7 Which is the nearest to -1/4? (a) -0.4 (b) 12/31 (c) 4/9 (d) 4 a Which is the closest to 1? (a) -2 (b) -1/4 (c) -0.2 (d) 2 d What is the nearest to -6 in -2, -3, 2, -3/4? -3 What is the closest to -1 in -0.3, -0.2, 1, -0.5? -0.5 Which is the closest to 0.4? (a) 3 (b) 4/3 (c) -0.2 (d) -4.1 c Which is the closest to 0? (a) -3.09 (b) -1 (c) -4 b Which is the nearest to 44? (a) -4 (b) 17 (c) 5 b Which is the nearest to 0? (a) 0.3 (b) 5 (c) 0.4 (d) -4 a What is the nearest to 1073 in -2, 0.1, -2/7? 0.1 Which is the closest to 2/7? (a) -6 (b) 30 (c) -3/8 (d) -2/15 d Which is the nearest to 2/13? (a) -1 (b) 3 (c) -341 a What is the closest to 2 in 7/3, -2, 2/5, 1? 7/3 What is the closest to -2/9 in 20/3, -26, 1? 1 What is the nearest to 1/8 in -3, 2, 5, 0? 0 What is the nearest to 0 in -1, 6/11, -0.5, 2? -0.5 Which is the closest to 1? (a) 0.4 (b) 0.3 (c) 3478 a What is the closest to 5 in 1/6, -56, 0.3, -5? 0.3 What is the closest to 3/14 in -4/3, 2/3, 2/11? 2/11 Which is the closest to 8.14? (a) 3 (b) 5 (c) 1 b Which is the nearest to -1072? (a) 2/5 (b) 3/5 (c) -3 (d) 4 c What is the nearest to -151 in -3, 1/2, 1/4, 2/21? -3 Which is the nearest to -5? (a) -0.5 (b) -1/4 (c) -5 (d) -4/7 c What is the nearest to 1/6 in -1/3, 4/9, 3, -3? 4/9 What is the closest to -1/14 in 2/3, -0.3, 0.05, 0.5? 0.05 What is the closest to 0.8 in 6, 2, -2/7? -2/7 What is the closest to -6 in -0.1, 3, 1, 0.3? -0.1 Which is the closest to 2/27? (a) -0.1 (b) -0.5 (c) 6 a Which is the closest to -2/5? (a) 3/7 (b) 0.7 (c) 4/5 (d) 1 a Which is the closest to 0? (a) -1/2 (b) 1/7 (c) 3 (d) -2/13 b What is the nearest to -2 in 5, 9, -1/6? -1/6 Which is the closest to 1? (a) 93 (b) 2/3 (c) 0.4 (d) -3/7 b What is the closest to -1/6 in -0.05, 2/13, 1/6? -0.05 What is the closest to -0.4 in -0.29, 1, 7, -0.5? -0.5 Which is the closest to 8/7? (a) 60/7 (b) 3 (c) 0.4 c What is the nearest to 0 in -2, -2/11, -1, 1/8? 1/8 What is the closest to -2/3 in -3, 1, 4? 1 What is the nearest to -0.2 in 1, 3, 46, -0.1? -0.1 What is the nearest to -5 in 4/5, -2, 3, -11? -2 What is the nearest to 1 in -10, -5, 3, 4? 3 Which is the closest to 61? (a) -0.5 (b) -5 (c) -1 a Which is the closest to 0.1? (a) -111/19 (b) -2 (c) -1 c What is the closest to 4 in -2, 2/13, 0, -3? 2/13 What is the closest to -1/19 in 0, -4, 1/80? 0 What is the nearest to -1 in -3, -1, -4/7, 1.2? -1 Which is the nearest to 1? (a) -5 (b) -1/7 (c) -7 (d) 0.1 d Which is the closest to 2? (a) 0.11 (b) -5 (c) 1/12 (d) 3/7 d Which is the nearest to 0? (a) -1/2 (b) 3/8 (c) 0.3 c What is the closest to 0 in -2, 39, -3/8, -2/13? -2/13 What is the closest to -29 in -7, -1, 1/7, 3? -7 What is the nearest to 1 in -6, 1/5, -5? 1/5 What is the closest to 0 in -579, -4, -5/4? -5/4 Which is the nearest to -5? (a) -0.1 (b) -1/5 (c) 0.3 (d) 1/4 b What is the nearest to 1/3 in 4, 2/9, -4, 2? 2/9 Which is the closest to -0.1? (a) -0.4 (b) 17 (c) 0.03 c What is the nearest to -6 in -13, 2, -0.4? -0.4 What is the nearest to 2/3 in -1, -2/13, 4, 1? 1 What is the nearest to -2 in -47, 0.05, -1? -1 Which is the closest to 1/4? (a) 9 (b) 0.1 (c) 0.3 c What is the nearest to -1.75 in 6/5, 0.2, 0, -3? -3 Which is the closest to -0.1? (a) 1 (b) -4 (c) -3 (d) 2/9 d What is the closest to 0 in -2, -9, 0.07? 0.07 What is the closest to 1 in 2/3, 2/11, 6/11, -20/13? 2/3 What is the closest to 3 in -0.6, -5, -0.2, -1? -0.2 Which is the closest to 0.1? (a) 2 (b) 24 (c) -3 (d) 2/11 d Which is the closest to 0? (a) 1.4 (b) 16 (c) 5 a Which is the closest to 0.01? (a) -17 (b) 0.4 (c) -4 b What is the nearest to -10/7 in 3, -0.1, 3/8, 0? -0.1 What is the nearest to -9 in -2, -5, 19? -5 What is the closest to -2/5 in 5/2, -4/7, 1? -4/7 Which is the nearest to -5? (a) 1/4 (b) 3 (c) -3/5 (d) -0.3 c Which is the closest to -393? (a) 0.1 (b) 4 (c) 1 (d) -1/3 d What is the nearest to -1 in 0.03, 1/2, -0.4, 1? -0.4 What is the nearest to 2/13 in 1/6, -2, 2/7, -4/5? 1/6 What is the nearest to -0.1 in -1/46, -0.1, 1/4? -0.1 What is the nearest to 2/5 in -0.1, -3, -2, 1/6? 1/6 What is the nearest to -0.2 in -0.3, -2, 7? -0.3 Which is the nearest to 0.6? (a) 0.08 (b) 2/5 (c) -2 b What is the closest to 1 in -24, -0.1, 203? -0.1 What is the nearest to -1/4 in 182, -3/5, 4, 3? -3/5 What is the nearest to 1 in -0.2, 0.7, 0? 0.7 What is the closest to -1/2 in -37, -4/3
{ "pile_set_name": "DM Mathematics" }
be t(8). Suppose -3 = -5*s + u*s. Suppose -s*p - 4*z = -3, 0*z + 2*z = 2*p + 12. Determine c(p). 1 Let j(u) = u**3 + 7*u**2 + 2*u + 8. Suppose 6*q + 49 = -q. Calculate j(q). -6 Suppose 33*i - 31*i = -10. Let d(v) = -2*v - 4. Give d(i). 6 Let o be 0 - (4 + 2 + -9). Let l(v) = v**2 - v - 4. Give l(o). 2 Let o be ((-2)/4)/((-6)/12). Let v be (1 - 1 - -1)/o. Let j be v*(-6)/3 + 2. Let g(h) = h**2 - h + 1. What is g(j)? 1 Let g(h) = -h**3 + 4*h**2 + 3*h + 7. Let d = -11 + 18. Let k = 2 - d. Let v be (k/(-2)*4)/2. Calculate g(v). -3 Suppose 3*g = -w - 4*w + 29, -4*w + 2*g + 10 = 0. Suppose 0*q + q = w. Let c(y) = -y**3 + 5*y**2 - 4*y + 3. Determine c(q). 3 Let d(b) = -2*b**3 - b**2 + b + 1. Let s(n) = -n - 11. Let u be s(-9). Let g = 1 + u. Determine d(g). 1 Let c(y) = -4*y**2 - 2*y + 1. Let w = -2 - -5. Suppose 20 = w*l + l. Suppose s + 3*s + 19 = -o, 2*o - l*s = 27. Calculate c(o). -5 Suppose -2*y - 5 = -3*g, 2 = 4*g + y - 1. Let c(u) = 2*u. Suppose -z - 4 + 10 = 0. Let h(s) = 2*s. Let w(q) = z*h(q) - 5*c(q). Determine w(g). 2 Let y(z) be the first derivative of -3*z**2/2 + 3*z + 25. Let r be (6/(-8))/(2/(-8)). Determine y(r). -6 Let i(x) = x**3 - 5*x**2 - 6*x + 5. Let t(r) = r**3 - 6*r**2 - 5*r + 6. Let z(v) = -3*i(v) + 4*t(v). Calculate z(9). -9 Let t(z) = -z**3 - 2*z**2 + 3*z - 4. Let u be t(-4). Suppose 0*d - 4*f = -3*d - u, -21 = 5*d - f. Let a(w) = w**2 + w - 4. Determine a(d). 8 Let n(j) = 3 + 9*j + 2 - 3*j**2 - 13. Let z(q) = -7*q**2 + 19*q - 17. Let s(b) = -9*n(b) + 4*z(b). Give s(-5). 4 Let l(f) = 57*f**3 + 8 + 2 - 7*f**2 - 58*f**3. Let r = 3 + -10. Calculate l(r). 10 Let b(z) = 41 + 0*z - z - 7*z - 39. Give b(2). -14 Let f(j) be the first derivative of 4/3*j**3 - 1/4*j**4 + 2 - 4*j + 3/2*j**2. Calculate f(4). 8 Let k(u) = -u**3 + u. Suppose -1 = 11*s - 12. Give k(s). 0 Let q(w) = -14*w**2 - 14*w + 20. Let h(b) = -5*b**2 - 5*b + 7. Let d(p) = 11*h(p) - 4*q(p). Let z be d(-3). Let k(x) = -x + 4. Calculate k(z). 1 Suppose -3*g + 5*l + 34 = 0, 2*g + 2*l = -0*g + 12. Let v(y) = 4 + 3*y**2 - 2*y - g*y**2 + y**3 + 0*y. Determine v(5). -6 Suppose 0 = 2*b + 5*d - 7 + 28, -3*d = b + 13. Let z(c) = 5 + 5*c**3 - 4*c**3 - 4. What is z(b)? 9 Suppose -10*v + 13*v = -15. Let b(c) = c**2 + 3*c + 3. Calculate b(v). 13 Let h = 13 + -12. Let w(c) = c + h + 8*c + 5 + c**2 + 1. What is w(-6)? -11 Let w(v) = v - 4. Let x(f) = 3*f**2 - f. Let y be x(1). Suppose 80 = 3*h + 20. Suppose -3*g - 4*u = -0*g - y, -h = 5*u. Give w(g). 2 Let f(p) be the first derivative of -p**4/4 + 5*p**3/3 - 3*p**2/2 + 3*p + 15. Calculate f(4). 7 Suppose -7*n = -2*n + 75. Let d = n - -11. Let f(m) = -m - 1. What is f(d)? 3 Let i(t) = 37*t - 11. Let n(f) = 18*f - 5. Let q(y) = 6*i(y) - 13*n(y). What is q(-1)? 11 Let m = 154 + -148. Let o(u) = -u + 7. Give o(m). 1 Let h = 3 + -1. Suppose -h*u + 4*u = 4. Suppose -u*d - 2*d - 20 = 0. Let z(b) = b**2 + 3*b - 5. Calculate z(d). 5 Let j(h) = -h**2 - 2*h + 1. Let o = -8 - -3. Calculate j(o). -14 Let j(d) = -d**3 - 9*d**2 - 7*d + 4. Suppose 2*b - 5*o = -36, -b + o = b + 20. What is j(b)? -4 Let k be 4/(-12)*1*3. Let q(s) = s**2 + s + 1. What is q(k)? 1 Let t(y) = y**2 + y - 1. Let h(j) = -4*j + 5. Let c be h(1). Calculate t(c). 1 Let i(z) be the third derivative of -z**4/4 - z**3/6 - 3*z**2. Let n be i(-1). Let y(g) = g - 4. Calculate y(n). 1 Let o be -5 - 18/12 - 3/(-2). Let u(k) = 3*k + 7. Calculate u(o). -8 Let a(q) = -12*q**2 + 6*q + 13. Let w(r) = 35*r**2 - 17*r - 37. Let g(j) = -17*a(j) - 6*w(j). Give g(1). -5 Let m(n) be the first derivative of n**2/2 + 5*n - 11. Give m(-4). 1 Let n = 60 + -67. Let h(x) = x + 9. Give h(n). 2 Let i(a) be the second derivative of a**3/6 + 5*a**2/2 - 42*a. Determine i(0). 5 Let q(t) = -25*t + 1 - 3*t**2 - 2*t**3 + 48*t - 25*t. Determine q(-2). 9 Let g be ((-10)/(-6) + -1)*-6. Let t(u) = 3*u**2 + 6*u + 1. Give t(g). 25 Let j(u) = u**3 - 3*u**2 - 3*u - 1. Suppose -s - 32 = -36. What is j(s)? 3 Let d = -1 - -2. Let k(z) be the third derivative of 5*z**4/12 + z**3/6 - 3*z**2. What is k(d)? 11 Let v be -4*(-1)/2 - 7. Let j(p) be the first derivative of p**4/4 + 5*p**3/3 - p**2/2 - 5*p - 26. Calculate j(v). 0 Let k(g) = -g**2 - 8*g. Let q be k(-8). Let o(l) = -l. Let s(d) be the third derivative of -5*d**4/24 + d**3/6 - 2*d**2. Let z(f) = 9*o(f) - 2*s(f). Give z(q). -2 Let j(s) be the first derivative of s**3/3 - 3*s**2 + 16. Calculate j(4). -8 Suppose 12 = 5*g + r + 34, -6 = 3*r. Let u(m) be the first derivative of 1 + 1/2*m**2 - m. Determine u(g). -5 Let a(h) be the second derivative of -h**6/720 - h**5/60 + h**4/12 + 4*h. Let t(o) be the third derivative of a(o). Give t(-2). 0 Let n(l) = 6*l + 1. Suppose g - 24 = -2*g. Suppose -x - z - 4*z = 3, 2*x = 4*z + g. Suppose -1 = x*f + 1. Give n(f). -5 Let m(q) be the second derivative of -q**3/6 - 2*q**2 - 2*q. Let l(v) = -6*v**2 + 1. Let a be l(1). What is m(a)? 1 Let m(t) be the second derivative of -t**5/20 - 5*t**4/12 - t**3/6 - 2*t**2 - 46*t. Suppose 0 = -5*o - 12 - 13. Determine m(o). 1 Let b(g) = -g**2 + 5*g - 3. Let c be b(4). Let o(d) = -d**3 - 4*d**2 - d + c + 2*d**2 - 6*d**2 + 3*d**2. Give o(-5). 6 Let x(z) be the first derivative of -z**3/3 + 5*z**2/2 + 4*z + 1. Suppose 0 = 2*s - 3*a - 14, -3*a = -s - 0*s + 10. Let r be ((-5)/(-2))/(2/s). What is x(r)? 4 Suppose -3*f = f - 8. Suppose f = -5*p + 17. Suppose s - 8 = -p. Let c(k) = -k**3 + 4*k**2 + 6*k - 3. Determine c(s). 2 Let n(v) = -5*v**3 - 4*v**2 - 2*v - 1. Let z(l) = l**3 - l**2 - l. Let m(a) = n(a) - 3*z(a). Let b(i) = -i**2 + 6*i - 4. Let p be b(5). What is m(p)? -9 Let o(x) = -x**3 + 7*x**2 - 13*x + 17. Let h be o(5). Let m(w) be the second derivative of h*w**2 + 4*w + 0 - w**3 - 1/12*w**4. What is m(-5)? 9 Let g(l) = -l**3 - 7*l**2 - 5*l + 3. Suppose -3 - 6 = -3*x. Let a = 58 - 39. Suppose x*u - 1 = -a. What is g(u)? -3 Let p(r) = -11*r - 17. Let j(b) = 26*b + 32. Let a(s) = -9 + s + 20 + 8*s. Let z(g) = 14*a(g) - 5*j(g). Let f(c) = -6*p(c) + 17*z(c). Determine f(1). -2 Let o be -1*3 + 1 + -2. Let l(d) = -28*d**2 - 2 - 6*d + 30*d**2 + 4*d**3 - 3*d**3 + 1. Give l(o). -9 Let n be -1 - (-7)/(105/20). Let f(l) be the second derivative of n*l**3 + 0 - 2*l**2 + 4*l. Determine f(5). 6 Let k be 6/12 - 7/2. Let c(b) = -b**2 - 2*b - 1. Give c(k). -4 Let x = 12 - 17. Let t(v) = v**3 + 5*v**2 + v + 2. Let k be t(x). Let h(q) = 1. Let b(f) = -f**2 - 2*f + 4. Let g(u) = b(u) - h(u). What is g(k)? 0 Let q(l) = l**2 + 2*l + 1. Suppose u - 6 = 1. Let d(w) = w**2 - 8*w + 3. Let k be d(u). Give q(k). 9 Let m(l) = -2*l**2 - 3*l - 2. Let w = 50 + -52. Give m(w). -4 Let l(v) = -9 - v**3 + 5 - 2*v - 2*v**2 + 1. Calculate l(-2). 1 Let v(m) = -5*m**2 + 6*m. Let w(a) = -20*a**2 + 25*a. Let n(c) = -25*v(c) + 6*w(c). What is n(-1)? 5 Let b(s) be the first derivative of -s**3/3 + s**2/2 + 2*s - 1. Suppose 2*x = -r + 5*x - 1, -5*x - 1 = -3*r. Suppose -5*w = -r*w + 9. What is b(w)? -10 Let h(i) = -10*i - 2*i**2 + 23*i - 3 - 10*i + i**3. Let y be (1 - 5)*(-1)/2. Calculate h(y). 3 Let y(l) = l**2 + 6. Let v be 4 + 1 - 5 - 0. Calculate y(v). 6 Let f(u) be the third derivative of u**5/60 - 7*u**4/24 - 2*u**3/3 + u**2. Calculate f(7). -4 Let a be (1*2)/((-4)/(-6)). Let p(s) be the first derivative of -5*s**3/3 + 2*s**2 - 2. Let k(z) = -2*z**2 + 2*z. Let l(c) = a*p(c) - 7*k(c). Determine l(-3). -3 Let i be ((-14)/4)/((-1)/(-2)). Let w = -5 - i. Let l(y) = -4*y - w - 4*y**2 + 6 + 5*y**2. What is l(4)? 4 Let a(d) = 2*d**2 - 2*d - 1. Let t be a(-1). Let x(l) = -2*l**2 + 3 - 3 + l**3 - 4*l. Determine x(t). -3 Let w(o) be the third derivative of -o**6/120 - o**5/12 - o**4/12 - 30*o**2. Calculate w(-3). -12 Let y(a) = -a. Let k = 1 - 1. Let z be 3/(-5) - 63/(-105). Let o be 1 - k - (5 + z). Calculate y(o). 4 Let c(v) = 10*v**3 - 2*v + 1. Suppose 0 = 3*s - 12 - 6. Suppose -s = 5*z + 9. Let a be z/2*(-8)/12. Determine c(a). 9 Let a be (-6)/(-42) + 24/(-21). Let y(q) = 4*q**3 - q**2 + q + 1. Determine y(a). -5 Let i(m) be the first derivative of -2*m**3 + m**2 - m - 1. Let o be (-2 - 0)/4*0. Suppose o = -4*f + 3*f + 1. What is i(f)? -5 Let x(h) = -18*h**2 + 1. Let f be 3/2*(-8)/12. Calculate x(f). -17 Suppose -x = -p + 2*x + 1, 0 = 5*p - 4*x - 5. Let c be 3 - (1 - p) - 4. Let b(v) = -15*v**3 + v**2 + v. What is b(c)? 15 Let s(c) = 2*c*
{ "pile_set_name": "DM Mathematics" }
s are there in 43.85565 millilitres? 0.04385565 Convert 2849340.3 months to centuries. 2374.45025 How many weeks are there in 637.42896s? 0.00105395 What is 3/50 of a century in years? 6 How many meters are there in 31/5 of a kilometer? 6200 What is 318900.4 decades in months? 38268048 What is 41.6811 litres in millilitres? 41681.1 What is thirty-one halves of a kilometer in meters? 15500 How many millilitres are there in 6/25 of a litre? 240 Convert 586263.3 millilitres to litres. 586.2633 How many millilitres are there in 27/5 of a litre? 5400 What is one-hundred-and-one thirds of a decade in months? 4040 What is 41324.27m in kilometers? 41.32427 How many hours are there in 1/4 of a week? 42 How many kilograms are there in 1/5 of a tonne? 200 How many litres are there in 3.837125 millilitres? 0.003837125 What is 56163.03mg in tonnes? 0.00005616303 What is 7/6 of a millennium in months? 14000 How many milligrams are there in 0.4704594t? 470459400 How many months are there in 46/5 of a decade? 1104 How many tonnes are there in 607.8857 nanograms? 0.0000000000006078857 What is three fifths of a millimeter in micrometers? 600 What is 1/4 of a litre in millilitres? 250 How many nanoseconds are there in 548683.2 hours? 1975259520000000000 What is thirteen quarters of a minute in seconds? 195 Convert 3.271609l to millilitres. 3271.609 How many millilitres are there in sixty-seven quarters of a litre? 16750 What is 178962.6 meters in micrometers? 178962600000 What is 3.891096 minutes in hours? 0.0648516 How many kilograms are there in 13/8 of a tonne? 1625 What is 87.93031 years in centuries? 0.8793031 Convert 17.343552 minutes to hours. 0.2890592 What is fifty-five halves of a century in years? 2750 How many years are there in 1.7156931 months? 0.142974425 What is 76304.04cm in kilometers? 0.7630404 How many nanograms are there in one tenth of a milligram? 100000 How many days are there in 8/7 of a week? 8 What is six fifths of a minute in milliseconds? 72000 How many millilitres are there in 2944.169l? 2944169 What is 95.59404 millennia in centuries? 955.9404 Convert 9.514987 nanometers to centimeters. 0.0000009514987 Convert 81798.23 decades to years. 817982.3 Convert 416.5657 nanometers to meters. 0.0000004165657 How many millimeters are there in five quarters of a meter? 1250 What is 2.684672mg in tonnes? 0.000000002684672 What is one sixteenth of a kilogram in milligrams? 62500 What is 39.35539 micrometers in millimeters? 0.03935539 Convert 647.809596 milliseconds to weeks. 0.00000107111375 What is 26/5 of a meter in centimeters? 520 What is three tenths of a meter in millimeters? 300 What is three eighths of a millennium in years? 375 How many minutes are there in 25/2 of a hour? 750 How many milligrams are there in fourty-two fifths of a gram? 8400 How many millilitres are there in fifty-three quarters of a litre? 13250 How many millilitres are there in 6/25 of a litre? 240 How many millilitres are there in fourty-five halves of a litre? 22500 How many years are there in 0.9722451 millennia? 972.2451 What is eleven quarters of a litre in millilitres? 2750 Convert 402975.1mg to micrograms. 402975100 How many grams are there in 83.53152ug? 0.00008353152 How many minutes are there in 15/4 of a hour? 225 What is twenty-five eighths of a century in months? 3750 What is 29/5 of a centimeter in micrometers? 58000 How many millilitres are there in 45/8 of a litre? 5625 What is 3/10 of a century in years? 30 Convert 41.11749l to millilitres. 41117.49 How many millilitres are there in 11/2 of a litre? 5500 How many grams are there in 89442.1 kilograms? 89442100 How many micrograms are there in 3516.629mg? 3516629 What is 7.380204 nanometers in meters? 0.000000007380204 How many millilitres are there in fourty-five quarters of a litre? 11250 Convert 84.26054l to millilitres. 84260.54 How many micrograms are there in 1/5 of a milligram? 200 What is 48/5 of a kilometer in meters? 9600 How many milliseconds are there in 13/5 of a second? 2600 What is 778.4732cm in nanometers? 7784732000 How many nanometers are there in eleven tenths of a micrometer? 1100 What is three fifths of a decade in years? 6 How many milligrams are there in 3/50 of a gram? 60 What is 4976.107m in centimeters? 497610.7 Convert 6001.417mm to centimeters. 600.1417 How many nanometers are there in seven quarters of a micrometer? 1750 What is 27/4 of a litre in millilitres? 6750 Convert 1916.5281 months to millennia. 0.159710675 What is fifty-four fifths of a century in decades? 108 What is fourty-eight fifths of a decade in years? 96 Convert 132.4278 weeks to seconds. 80092333.44 What is 18/5 of a millennium in decades? 360 How many months are there in fourty-three quarters of a century? 12900 What is 1/20 of a micrometer in nanometers? 50 What is one quarter of a microgram in nanograms? 250 How many milligrams are there in 640888.8g? 640888800 What is 21/4 of a litre in millilitres? 5250 How many months are there in thirteen fifths of a century? 3120 How many micrograms are there in three eighths of a milligram? 375 What is fifteen quarters of a kilometer in meters? 3750 How many nanometers are there in three fifths of a micrometer? 600 How many millilitres are there in 37/2 of a litre? 18500 What is 15/4 of a litre in millilitres? 3750 Convert 5.374028 millilitres to litres. 0.005374028 How many micrometers are there in seven eighths of a centimeter? 8750 What is two sevenths of a week in minutes? 2880 Convert 17555.03t to grams. 17555030000 How many kilometers are there in 4.238431m? 0.004238431 Convert 68.01955 decades to years. 680.1955 What is 32.91162 nanograms in kilograms? 0.00000000003291162 Convert 14562.33 years to millennia. 14.56233 What is four fifteenths of a millennium in months? 3200 How many nanograms are there in 3/25 of a microgram? 120 How many years are there in 33/5 of a century? 660 Convert 9.743044 nanometers to centimeters. 0.0000009743044 How many micrograms are there in 6198.917ng? 6.198917 How many hours are there in eighteen sevenths of a week? 432 What is 0.5597747 centuries in months? 671.72964 How many centimeters are there in 3/25 of a meter? 12 What is twenty-nine fifths of a meter in centimeters? 580 What is 56.62669l in millilitres? 56626.69 What is 23504.958 seconds in days? 0.272048125 What is 13.39189mm in micrometers? 13391.89 How many millilitres are there in 67/5 of a litre? 13400 How many nanograms are there in one twentieth of a microgram? 50 How many kilograms are there in 8076.506mg? 0.008076506 What is 6/5 of a centimeter in micrometers? 12000 What is 33585.8 minutes in seconds? 2015148 What is 0.7668294 millimeters in micrometers? 766.8294 What is 7/4 of a gram in milligrams? 1750 How many months are there in five sixths of a millennium? 10000 What is 2.450879ng in milligrams? 0.000002450879 Convert 796.1186 millennia to months. 9553423.2 What is 81/2 of a meter in centimeters? 4050 What is 5819.197mg in tonnes? 0.000005819197 How many years are there in 2355.8595 months? 196.321625 How many kilograms are there in twenty-one quarters of a tonne? 5250 How many millilitres are there in twenty-five eighths of a litre? 3125 How many milliseconds are there in one twentieth of a minute? 3000 How many kilometers are there in 78.26206 micrometers? 0.00000007826206 What is 5/8 of a micrometer in nanometers? 625 How many years are there in seven eighths of a millennium? 875 What is 6582.285 micrometers in meters? 0.006582285 What is nineteen quarters of a century in years? 475 How many milligrams are there in 3/50 of a gram? 60 What is eight sevenths of a week in days? 8 What is 13/5 of a second in milliseconds? 2600 What is 0.8383467ml in litres? 0.0008383467 Convert 152.8543 micrometers to centimeters. 0.01528543 How many minutes are there in 12.65577s? 0.2109295 What is 846.9269ml in litres? 0.8469269 What is three fifths of a week in minutes? 6048 What is fifty-five halves of a millimeter in micrometers? 27500 What is 786399.3 minutes in seconds? 47183958 Convert 8.64324 tonnes to micrograms. 8643240000000 What is 13.78102 millennia in centuries? 137.8102 How many millilitres are there in one tenth of a litre? 100 What is 3/25 of a gram
{ "pile_set_name": "DM Mathematics" }
n(v(p)). 16*p**4 Let l(x) = 1024*x. Let o(u) = 21*u. Determine l(o(j)). 21504*j Let m(d) = 6*d - 9*d + 7*d - 3*d. Let f(v) = -2*v. Let y(x) = f(x) - m(x). Let q(t) = 9*t**2. Determine q(y(g)). 81*g**2 Let a(w) = w**2. Let o(t) be the first derivative of 113*t**2/2 + 102. Determine a(o(j)). 12769*j**2 Let f(c) be the third derivative of 0*c - 26*c**2 + 0 + 0*c**4 + 7/60*c**5 + 0*c**3. Let y(t) = 6*t. Give y(f(g)). 42*g**2 Let s(v) = -2*v**2. Let h(f) be the first derivative of 5*f**4/3 - 28*f + 18. Let i(b) be the first derivative of h(b). Give s(i(r)). -800*r**4 Let m(c) = -c. Let r(f) = -26*f. Let y(u) = -12*m(u) - 2*r(u). Let i(z) = 3*z. Give y(i(k)). 192*k Let s(v) = 5*v - 16. Let d(o) = o - 4. Let j(c) = -4*d(c) + s(c). Let l(y) = -455*y. Give l(j(n)). -455*n Let p(y) = -y. Suppose 6*f - 4*f = -7*f. Let u(x) be the third derivative of 2*x**2 + 0*x + 0*x**3 - 1/8*x**4 + f. Determine u(p(c)). 3*c Let v(b) = -5*b**2. Let k(q) be the first derivative of -5*q**2 - 1/24*q**4 + 0*q + 0*q**3 + 7. Let x(f) be the second derivative of k(f). Give x(v(h)). 5*h**2 Let m = -63 - -68. Let a(x) = x - m*x + 7*x. Let b(r) = 8*r. Calculate b(a(s)). 24*s Let r(w) = -3*w. Let y(v) be the first derivative of 0*v**2 + 0*v - 2/3*v**3 - 11. What is y(r(i))? -18*i**2 Let g(y) = -285 + 141 + y + 144. Let i(o) = 211*o**2. What is i(g(f))? 211*f**2 Let a(n) be the first derivative of n**2/2 + n - 10. Let i(h) = h**2 + h + 1. Let r(v) = a(v) - i(v). Let m(o) = -16*o. Determine r(m(g)). -256*g**2 Let p(l) be the second derivative of 7*l**6/360 - l**3/6 + 9*l. Let v(w) be the second derivative of p(w). Let t(r) = 6*r**2. Determine t(v(f)). 294*f**4 Let b(c) = 99*c + 22. Let m(v) = 605*v. Determine b(m(n)). 59895*n + 22 Let p(i) = i. Let d(o) = -255619*o**2. Determine p(d(j)). -255619*j**2 Suppose -2*u + u + 3 = 0. Suppose p - 2*f = 12, -2*p - 5 + 1 = u*f. Let n(g) = -4*g - 2*g + g + p*g. Let h(r) = 15*r. Determine h(n(c)). -15*c Let c(i) = 101*i - 2. Let w(y) = 34*y + 36*y - 99*y + 28*y. What is w(c(g))? -101*g + 2 Let h(g) = 4*g**2 - 5*g + 5. Let n(f) = 3*f**2 - 4*f + 4. Let w(y) = -4*h(y) + 5*n(y). Let a(z) be the second derivative of z**4/4 + 18*z. Give w(a(s)). -9*s**4 Let y(z) = -3 + 3131*z**2 - 3133*z**2 - 4*z + 4*z. Let c(d) = -2*d. Determine y(c(h)). -8*h**2 - 3 Let b(p) = -10*p**2. Let j(r) = -r. Let f(x) = -210*x. Let i(w) = -f(w) + 175*j(w). Give i(b(m)). -350*m**2 Let o(g) = -3*g**2 + 0*g**2 + 4*g**2 + 0*g**2. Let b(r) = -12*r + 4*r**2 - 7*r**2 + 12*r. What is b(o(y))? -3*y**4 Let r(k) = -3*k - 3*k + 8*k - 44. Let q(t) = 2*t**2. Determine q(r(g)). 8*g**2 - 352*g + 3872 Let g(n) = -41*n + 85*n - 46*n. Let h(r) = -104*r**2. Give h(g(l)). -416*l**2 Let l(m) = 2*m**2. Let a be 54/10 + 4/(-10). Suppose -z + h = -a, -4*z = -2*z + 3*h. Let n(g) = -g - z*g - g. Calculate n(l(k)). -10*k**2 Let j(c) = -3*c**2 + 16. Let l(d) = -4*d**2 + 20. Let w(u) = 5*j(u) - 4*l(u). Let k(x) be the second derivative of 9*x**4/4 + 7*x. Give w(k(p)). 729*p**4 Let q(s) be the third derivative of -s**5/20 - 117*s**2. Let o(c) = -28*c. Calculate o(q(d)). 84*d**2 Let o(z) = -270270*z**2. Let y(c) = -c**2. What is o(y(l))? -270270*l**4 Let j(f) = f**2. Let a(t) = -255*t + 386*t + 244*t + 482*t. What is a(j(m))? 857*m**2 Let o(a) = 0 + 8 - 5 - 1. Let g(y) = -4*y - 6. Let i(u) = u - 11. Let w be i(5). Let x(s) = w*o(s) - 2*g(s). Let p(l) = 3*l**2. Determine x(p(n)). 24*n**2 Let i(d) = -6*d**2. Let u(j) be the second derivative of -j**5/120 - j**3/6 + 8*j**2 + 52*j. Let p(r) be the second derivative of u(r). Give i(p(t)). -6*t**2 Let v(i) = 1598*i**2 + i - 2. Let z(f) = -10*f. Determine z(v(k)). -15980*k**2 - 10*k + 20 Let q be 3 + (3 - (-1 + 1)). Let v(u) = 3*u - 4*u - q*u + 5*u. Let g(j) = -j**2. Calculate v(g(h)). 2*h**2 Let o(t) = -32534*t - t**2 + 32534*t + 1. Let f(g) = 1 + 0 - 2. Let a(r) = -2*f(r) - 2*o(r). Let k(n) = 5*n. What is k(a(p))? 10*p**2 Let q(i) = -13*i + 80. Let a be q(6). Let o(m) = 13*m**2 - 5*m**a - m**2. Let w(z) = z. Determine o(w(s)). 7*s**2 Let y(k) = -1 + 1 - k**2. Let r(p) = 6*p**2. Let v(g) = g**2. Suppose 51 + 47 = 2*b + 5*t, 3*b + 3*t = 129. Let m(s) = b*v(s) - 6*r(s). Calculate m(y(f)). 3*f**4 Let t(o) = 3*o. Let y(i) = -3. Let a(k) = k + 4. Let d(j) = 3*a(j) + 4*y(j). Let x(q) = 4*q. Let p(m) = -6*d(m) + 5*x(m). Give t(p(b)). 6*b Let q(r) = 56*r - 1. Let p(y) = 537*y**2. What is q(p(w))? 30072*w**2 - 1 Let k(u) = -2*u**2 - 26. Let t = -96 + 98. Let i(c) = -6 - 2*c**t - 7 + 13. Give k(i(x)). -8*x**4 - 26 Let c(k) be the second derivative of -20*k**3 + 21*k**3 + 26*k - 3*k. Let t(m) = 5*m**2. Determine c(t(s)). 30*s**2 Let k(r) = 133461*r**2. Let n(m) = m**2. Determine n(k(c)). 17811838521*c**4 Let f(o) = -11816*o + 5906*o + 5907*o. Let k(y) = 84*y**2. Give k(f(i)). 756*i**2 Let m(j) = -23027*j + 2. Let i(c) = 2*c. Calculate i(m(y)). -46054*y + 4 Let o(z) = -2*z**2 + z**2 - z**2. Let q(a) = 7*a**2 - 9*a - 18. Let n(r) = -2*r**2 + 2*r + 4. Let k(c) = 9*n(c) + 2*q(c). Determine k(o(t)). -16*t**4 Let c be (-122)/(-14) - (-6)/21. Let z = 11 - c. Let p(n) = -3*n**2 - 3*n**2 - n**2 + 9*n**z. Let o(t) = -3*t. Determine p(o(s)). 18*s**2 Let v(w) = 13*w**2 + 3. Let n(k) = 163*k - 59*k - 53*k - 50*k. Give n(v(r)). 13*r**2 + 3 Let h(m) = -134*m**2. Let x(q) = -1926*q + 2. What is x(h(k))? 258084*k**2 + 2 Let q(r) = 2*r. Let x(g) = 328*g + 60. Determine q(x(n)). 656*n + 120 Let l(s) be the first derivative of -20 - 8/3*s**3 + 0*s + 0*s**2. Let o(n) = -6*n. Determine l(o(b)). -288*b**2 Let p(d) = -2*d**2. Let i(w) = 78*w**2 + 2296 - 506*w**2 - 810*w**2 - 2296. Determine p(i(k)). -3065288*k**4 Let i be (-12 + 6)*(-1)/2*1. Let l(y) be the third derivative of 4*y**2 + 0*y**i - 1/12*y**4 + 0*y + 0. Let z(g) = 7*g**2. Calculate z(l(a)). 28*a**2 Let i(v) = -108 - 6*v - 126 + v + 230. Let u(h) = -9*h. Determine i(u(n)). 45*n - 4 Let i(f) = 17*f. Let w(r) = -4*r - 5. Let y(m) = 12*m + 16. Let k(l) = -16*w(l) - 5*y(l). Calculate k(i(z)). 68*z Let v(w) = -4*w. Let o(z) = -8 + 10 - z - 2*z + 5*z + 2. What is v(o(h))? -8*h - 16 Let r(w) = -7*w**2. Let q(c) = -23*c**2 + 17. Determine q(r(t)). -1127*t**4 + 17 Let i(m) = -24*m + 40*m + 49*m + 36*m. Let p(q) = -4*q. What is i(p(s))? -404*s Let v(k) = -18*k - 11*k - 12*k - 2*k**2 + 41*k. Let r(u) = 2*u + 4*u + 0*u. Determine r(v(g)). -12*g**2 Let q(g) = -g. Let n(j) = -j**2 + j + 5. Let u be n(2). Let d(y) be the third derivative of -1/60*y**5 + 0*y**u + 0*y + 0 + 0*y**4 - 5*y**2. Determine d(q(v)). -v**2 Let s(k) = -17*k**2. Let y(b) = -13*b + 17. Let j(g) = -2*g + 3. Let w(h) = -34*j(h) + 6*y(h). What is w(s(f))? 170*f**2 Let d(r) = 6*r**2 - 12*r**2 + 7*r**2. Let w(h) be the third derivative of 0*h + 1/24*h**4 + 0*h**3 + 0 - h**2. What is d(w(q))? q**2 Let k(r) = 19*r. Let m = 91 + -89. Let b(h) = -12*h**2 - 13*h**2 + 23*h**m. Give k(b(s)). -38*s**2 Let t(a) = 14*a**2. Let m(w) be the first derivative of -27*w**2/2 + 221. What is t(m(r))? 10206*r**2 Let q(x) = 2*x. Let j(n) = 2615*n**2 - 41*n. Give q(j(f)). 5230*f**2 - 82*f Let q(g) = -2*g + 4. Let b(s) = s - 3. Let c(a) = 4*b(a) + 3*q(a). Let i(d) be the third derivative of -d**5/30 + 15*d**2. Calculate i(c(o)). -8*o**2 Let n(b) = 27*b**2. Suppose 4*f - 4 = -t, 2*t + f = -2*t - 14. Let m(k) = 1. Let l(j) = j - 4. Let i(w) = t*m(w) - l(w). Calculate n(i(o)). 27*o**2 Suppose 37*y = 57*y - 40. Let i(q) be the third derivative of -7*q**y + 0*q + 0 + 0*q**4 + 0*q**3 - 1/60*q**5. Let z(f) = -9*f**2. Calculate z(i(t)). -9*t**4 Let p(t) = t**2. Let i(j) = 177530*j. Give p(i(x)). 31516900900*x**2 Let s(h) = -5*h**2. Let q(j) = 362232*j. Calculate q(s(d)). -1811160*d**2 Let r(f) = -2*f. Let d(l) = 6*l. Let u(k) = -6*d(k) - 21*r(k). Let a(c) be the third derivative of c**5/10 - 9*c**2. What is u(a(s))? 36*s**2 Let p(n) = 18*n. Let x(d) = 11421*d. Calculate p(x(j)). 205578*j Let y(k) = -20*k**2 + 1. Let b(o) = 815*o**2 + 6 - 826*o**2 - 6. What is b(y(a))? -4400*a**4 + 440*a**2 - 11 Let u(i) = -1619*i**2. Let z(r) = 597*r**2. Calculate z(u(v)). 1564833117*v**4 Let h(c) = 11*c**2 - 7044 + 3491 + 3553. Let w(s) be the second derivative of -s**4/12 + s. Give h(w(r)). 11*r**4 Let z(i) = -112*i**2 - 6*i + 3. Let s(c) = -34385*c**2 - 1840*c + 920. Let r(a) = -3*s(a) + 920*z(a). Let n(d) = d**2. Determin
{ "pile_set_name": "DM Mathematics" }
itive. d**(17/2) Simplify i**9*i/i**20 assuming i is positive. i**(-10) Simplify (((b/b**(3/7))/b)/b)/(b/(b/((b*b**(-2/9)*b)/b)))*((b*b/b**(1/2)*b*b)/b)**(1/3) assuming b is positive. b**(-173/126) Simplify (i*((i*i**6/i*i)/i*i)/i*i*i*i*i**(-5))/((i/((i**(-5)/i*i)/i)*i*i)/i**(-1)) assuming i is positive. i**(-5) Simplify (n/(n**(-1)/n)*n)**(6/31)/(n/(n*n*n**2*n*n*n)*n*n*n/(n*(n*n/(n*n**6/n))/n*n)) assuming n is positive. n**(24/31) Simplify p**(-6/7)*p**(3/7)*((p*p**2)/p*p)/(p*p**(-2)) assuming p is positive. p**(25/7) Simplify s**(-7)*s/s**(-8)*s*s*(s*(s*s**(2/5))/s)**(-1/10) assuming s is positive. s**(193/50) Simplify h**(-2/9)/h**(3/13) assuming h is positive. h**(-53/117) Simplify (k/k**(-3))**(-1/24) assuming k is positive. k**(-1/6) Simplify (c**2)**(-31)/(c*(c*(c/(c**(-1/2)*c))/c*c)/c)**(1/3) assuming c is positive. c**(-125/2) Simplify r**(6/5)*r/(r/((r*r**(-1/2)*r)/r*r*r))*(r**(-1))**(12/5) assuming r is positive. r**(13/10) Simplify (j*j/(j*j/(j*j*j*j**7/j*j))*j*j*j)**(2/67) assuming j is positive. j**(26/67) Simplify (((m/m**(3/7))/m)/m*m**(-4)/m)/((m*m*m**(3/8))/(m**(4/7)*m)) assuming m is positive. m**(-405/56) Simplify (z**(-2/3))**(20/3) assuming z is positive. z**(-40/9) Simplify (h**(-2/15)/(h/(h/(h*(h/((h*h**(4/3))/h))/h))))/((h/(h*h/(h**(3/10)*h))*h)/(h*h/(h/(h/h**(-3/5))))) assuming h is positive. h**(3/2) Simplify z*z**(-16)*z/z**11 assuming z is positive. z**(-25) Simplify ((a**1*a)/a**5)/((a/a**(-1/7))/a**8) assuming a is positive. a**(27/7) Simplify (d/((d/d**(-2/5))/d)*d)/d*d**0*d**4*(d*(d**(-3/5)*d)/d*d)/d*d assuming d is positive. d**6 Simplify (s**0)**(-20/7)/(s/(s**0*s))**(6/5) assuming s is positive. 1 Simplify g**(-8/7)/(g**(-4)*g*g) assuming g is positive. g**(6/7) Simplify (s**(7/6))**(2/25) assuming s is positive. s**(7/75) Simplify m/((m/((((m/m**21)/m*m*m)/m)/m))/m)*m**(3/8) assuming m is positive. m**(-157/8) Simplify r**18/r**(-19) assuming r is positive. r**37 Simplify o**15*(o/(((((o*o**16)/o)/o)/o*o)/o))/o assuming o is positive. o Simplify (h/(h**(-7)*h))/(h*(h**(-3/11)/h)/h) assuming h is positive. h**(91/11) Simplify (p**(-16)/p)/(p*p/(p/(p/(p*p*p*(p*((p/p**(-7))/p*p)/p)/p)))) assuming p is positive. p**(-9) Simplify ((t**0*t)**(1/15))**18 assuming t is positive. t**(6/5) Simplify ((d/(d**(2/3)/d)*d)/d)**5/(d/d**(-2/5))**(-19/6) assuming d is positive. d**(111/10) Simplify t**5*(t**0/t)/t*t**(-1/2)*t**4 assuming t is positive. t**(13/2) Simplify m**(1/4)/m**(2/17)*m**6*(m**5/m*m)/m assuming m is positive. m**(689/68) Simplify ((v/(v/(v**(1/5)*v)))**25)**(5/4) assuming v is positive. v**(75/2) Simplify s**(-2/47)*((s*s/(s/(s**(-16)*s)*s))/s)/s assuming s is positive. s**(-801/47) Simplify ((x/(x*x*x**(-2/5)))**(1/51))**(-1/29) assuming x is positive. x**(1/2465) Simplify w**6/(w*w*w**(-9)) assuming w is positive. w**13 Simplify (j/j**(1/5))**(12/7)/((j*(j/j**(-2/3))/j*j*j*j*j)/j)**(-2) assuming j is positive. j**(1124/105) Simplify (w*w/w**(-1/4)*w**(-10)*w*w*w)/(w*w*w**2)**(-1/19) assuming w is positive. w**(-345/76) Simplify (q/((q**(5/6)/q)/q)*q**(-10))**(-4/13) assuming q is positive. q**(94/39) Simplify d*d**(2/3)*d**13 assuming d is positive. d**(44/3) Simplify a*a*a**3*a**1*a*(a*a**(-1)*a*a)**(-2/81) assuming a is positive. a**(563/81) Simplify (x**16/x)/(x*x**(20/3)) assuming x is positive. x**(22/3) Simplify j**(-3/19)/(j/(j/j**16*j)) assuming j is positive. j**(-288/19) Simplify (i**(2/29))**(-44) assuming i is positive. i**(-88/29) Simplify (b/(b*b/((((b**(-2/7)/b)/b)/b)/b))*b**(2/3)*b)**(-4/9) assuming b is positive. b**(304/189) Simplify (((((q**1/q)/q)/q)/q)**(2/13))**(-2/59) assuming q is positive. q**(12/767) Simplify (t**(-1/2)*(t/(t/t**(-1/8)))/t)/(t*t**(-2/5))**(1/2) assuming t is positive. t**(-77/40) Simplify (m*m**(-8)*m**(2/3))/((m/(m*m/m**(-3)))/m*m*m/((m*((m*m**(1/7))/m)/m*m)/m*m*m)) assuming m is positive. m**(-25/21) Simplify (k*k*k/(k**(-2/3)*k))/k**10 assuming k is positive. k**(-22/3) Simplify (y*y/y**(-26)*y*y)/(y/(y**(-2/21)/y)) assuming y is positive. y**(586/21) Simplify ((d*d*d*d/d**2*d)/d)**48 assuming d is positive. d**96 Simplify x**(2/21)/(x/x**(-3/14)) assuming x is positive. x**(-47/42) Simplify (i**(-2/5))**(-49) assuming i is positive. i**(98/5) Simplify (q*q*q**(2/25)*q*q)**(-45) assuming q is positive. q**(-918/5) Simplify (j**(-2/11)*j)/j**(1/6) assuming j is positive. j**(43/66) Simplify f**(3/10)*f**(-2/27) assuming f is positive. f**(61/270) Simplify ((g*g/(g**(2/21)*g))/g)/g**(-18) assuming g is positive. g**(376/21) Simplify (d*d**16*d*d*(d*d/(d/(d*d**(2/13))*d))/d)**(1/6) assuming d is positive. d**(83/26) Simplify g**(7/2)/g*g**(-1/3)*g*(g*g**(1/2))/g*g*g**(-1/3)/g*g assuming g is positive. g**(13/3) Simplify y/(y**(2/67)/y)*y**19 assuming y is positive. y**(1405/67) Simplify d**(-3/10)*d/d**5*d assuming d is positive. d**(-33/10) Simplify l*l**(-6)*l**1 assuming l is positive. l**(-4) Simplify ((d**(4/7)*d)/d*d*d*d**(-1/2)*d)/(d**0)**(-5/16) assuming d is positive. d**(43/14) Simplify a*a*a**5*a*a/(a*a/((a/a**(-2/5))/a))*(a*a**(2/5)*a)**(-31) assuming a is positive. a**(-67) Simplify ((v/(v/(v*v/v**(1/7)*v)))/(v/v**11))/(v**(-2/5))**(5/12) assuming v is positive. v**(547/42) Simplify (w/(w*w**(-14)))**(4/35) assuming w is positive. w**(8/5) Simplify f*f**(1/8)*f**4*f**(-1)/f**(-5) assuming f is positive. f**(73/8) Simplify o**(-39)*(o**(-6/11)/o*o*o)/o*o assuming o is positive. o**(-424/11) Simplify ((y/(y*y**(-2/7)))/y**3)**(2/29) assuming y is positive. y**(-38/203) Simplify (z/((z/(z/(z**(-3)/z*z*z)))/z))**(-2/21) assuming z is positive. z**(-8/21) Simplify x**(-1/4)*x*(x**(-4/9)/x)/x assuming x is positive. x**(-61/36) Simplify (v**(-1/13)*v)**3 assuming v is positive. v**(36/13) Simplify ((i*i**(-4))/(i/i**3))**(-21) assuming i is positive. i**21 Simplify h**(1/7)/(h**(-1/22)*h) assuming h is positive. h**(-125/154) Simplify l**(27/2)/l**24 assuming l is positive. l**(-21/2) Simplify u**(1/15)*u*u*u**0 assuming u is positive. u**(31/15) Simplify k**(3/4)*k/((k*(k*k*k**34*k*k*k*k)/k)/k) assuming k is positive. k**(-149/4) Simplify ((s*(s/s**(-6))/s)**(-30))**(2/41) assuming s is positive. s**(-420/41) Simplify ((y*y**(1/2))/y)**22 assuming y is positive. y**11 Simplify (x**9/x**12)**(-5/12) assuming x is positive. x**(5/4) Simplify (v**(-1)*v)**(-25)*(v/(v**(-2)*v*v)*v)**24 assuming v is positive. v**48 Simplify ((b*b*b*b**(-1/2))**17)**(8/9) assuming b is positive. b**(340/9) Simplify l**(-23)*l*l**(-44) assuming l is positive. l**(-66) Simplify (((z**5/z)/z)/(z/z**(-2/9)))**(-19) assuming z is positive. z**(-304/9) Simplify (y/y**(-2/5)*y)**3 assuming y is positive. y**(36/5) Simplify (d*d/d**(11/4))/d**(-16) assuming d is positive. d**(61/4) Simplify (n**(2/7)*n*n**(-1/19)*n)**(-15) assuming n is positive. n**(-4455/133) Simplify s**(2/21)/((s/s**6)/s*s)*(s*s**(1/3))/s*((s/s**(-3/4))/s)/s assuming s is positive. s**(145/28) Simplify (r**(-3/5)/(r**1*r))/(r**2)**(-20/9) assuming r is positive. r**(83/45) Simplify v/((v/v**(1/38))/v*v)*v/(v*v**(1/5)*v) assuming v is positive. v**(-223/190) Simplify (u**11)**(-6/19) assuming u is positive. u**(-66/19) Simplify ((v*v*v**17*v)/v**(-7))**(2/63) assuming v is positive. v**(6/7) Simplify (l**(-1/5)/(l**(-1)*l))**(-12/7) assuming l is positive. l**(12/35) Simplify (m*m**(3/5))/(m/(m/m**(-2/5))) assuming m is positive. m**2 Simplify (i**(2/15)*i/(i**(-3)/i*i))/(i**4/i*i**(-2/19)) assuming i is positive. i**(353/285) Simplify h**(-5)*h*h**(-4)*h*h*(h**(-2/7)*h)**(-34) assuming h is positive. h**(-212/7) Simplify q**(-3/16)/(q*q/(q/q**(-1/31))) assuming q is positive. q**(-573/496) Simplify q**(-4)*q**15/q assuming q is positive. q**10 Simplify ((v/(v*v**(-2)))**(-20))**41 assuming v is positive. v**(-1640) Simplify (c*(c/(c/c**(-1)))/c*c)**(-8)/((((c**6*c)/c)/c)/(c*c**(1/8))) assuming c is positive. c**(-31/8) Simplify (k**(13/2))**(10/3) assuming k is positive. k**(65/3) Simplify (s/(s*s**(1/4)))**14*(s*s**(2/9)*s*s)/s**4 assuming s is positive. s**(-77/18) Simplify (g**(1/4)*g)**(-10)*(g*g**(2/3))**(2/87) assuming g is positive. g**(-6505/522) Simplify (k**(-2/15)*k)/k*k*k**(-3)*k assuming k is positive. k**(-17/15) Simplify (((z/(z**(2/3)*z))/z)**20)**(13/5) assuming z is positive. z**(-260/3)
{ "pile_set_name": "DM Mathematics" }
sqrt(78)/(sqrt(66)/sqrt(11)) - (sqrt(13) + (4 + (sqrt(13)*5 - sqrt(13)))**2 - sqrt(13))) + -2*-3*sqrt(1053) + 3. -221 + 23*sqrt(13) Simplify (-5*(sqrt(3648)*-3 + sqrt(3648))*-3)/((sqrt(3) - (sqrt(33)/sqrt(11) - sqrt(3)))*3 - (sqrt(3) + sqrt(36)/sqrt(300))). -400*sqrt(19)/3 Simplify 2 + (4 + (sqrt(162) - (-2 + sqrt(162)))*6 + 0 + -2)*-3. -40 Simplify ((6*-5*(0 + sqrt(2448)))**2 - -5*((sqrt(2448) + 2)**2*-2 - sqrt(2448)))*-1 + -4. -2178684 + 540*sqrt(17) Simplify (-5 + -5*(sqrt(18) + sqrt(2178) + (sqrt(2178) - (-1 + sqrt(2178))) + sqrt(2178) + sqrt(18) - (sqrt(200) + 4*(sqrt(200) + sqrt(200) + 3))))**2. 9000*sqrt(2) + 18700 Simplify ((sqrt(160) + 2*sqrt(160)*3)*2)/(2*sqrt(288) + 1*sqrt(32)/sqrt(4)). 28*sqrt(5)/13 Simplify -2 + (6*((sqrt(624)*3 - sqrt(39))/sqrt(3))**2 + ((-1 + sqrt(325) + 0)*2)**2)*-1. -10744 + 40*sqrt(13) Simplify 5*((-5*6*sqrt(704))**2 - -5*(-2 + -1 + (sqrt(11) - (sqrt(55)/sqrt(5) + sqrt(11))) + sqrt(11))). 3167925 Simplify (sqrt(51)/(sqrt(3)*2) - (sqrt(153) + 1 - sqrt(17))**2) + 2 - ((sqrt(2448) + sqrt(2448) + 0)*-1 + 5). -72 + 41*sqrt(17)/2 Simplify sqrt(81)/sqrt(3)*2 + sqrt(27) + -3 + ((sqrt(75) + -1*sqrt(75) + sqrt(75))**2 + (sqrt(30)*-1)/sqrt(10))*1. 8*sqrt(3) + 72 Simplify ((3*sqrt(490))/sqrt(10) - sqrt(196)/sqrt(4)*5)/((sqrt(448) - (sqrt(448)*3 + sqrt(448) + sqrt(448)))*-6*4). -sqrt(7)/384 Simplify ((2*sqrt(180)*-4 + sqrt(180))/(sqrt(72)/(sqrt(40)/sqrt(5))))/(2*sqrt(640)*-3 + (sqrt(640) - (sqrt(640) - sqrt(640)*-1*-6)) + sqrt(640)). -7*sqrt(2)/8 Simplify (1 + ((-3 + (sqrt(102)*2)/sqrt(6))*4 - (sqrt(85) - -1*sqrt(85)*-1 - sqrt(85))/sqrt(5)*-6) + 3)**2. -32*sqrt(17) + 132 Simplify -4*6*(-2*(-1*sqrt(2736) + 3) + 5 + ((sqrt(209) + 1*sqrt(209))*3)/sqrt(11))**2. -410424 + 1440*sqrt(19) Simplify 1*(2 + (sqrt(2448)*2 - sqrt(2448)) + sqrt(2448) + -1 + 0)*-1*4 + -4. -96*sqrt(17) - 8 Simplify -4 + ((sqrt(343) + 1 + sqrt(343) + 0 - (sqrt(343) + -1*sqrt(343) + 0) - 1*((sqrt(343) + sqrt(343)*-1 - sqrt(343)) + -5)) + -1)**2. 210*sqrt(7) + 3108 Simplify (-2 + (0 + (1*sqrt(252) + -2 - sqrt(252))*-6)*-1)**2 + -1. 195 Simplify -3 + (-5*-6*(sqrt(2793) - (sqrt(2793) + sqrt(2793)*-1 + sqrt(2793))))/(6*1*sqrt(300)). -3 Simplify 1 + ((sqrt(72)*-2)/sqrt(12) - (sqrt(600) + sqrt(600)*-2))/(2*sqrt(6912) + sqrt(6912) - sqrt(48)) + 2. 2*sqrt(2)/35 + 3 Simplify -5 + (-5*(-4 + -1 + sqrt(704) + sqrt(704) + (0 + sqrt(704)*1 - sqrt(704)) - (4 + 2*sqrt(704))*-1))**2*-4. -1126505 + 6400*sqrt(11) Simplify (-1*sqrt(98) + sqrt(98) + 1 + sqrt(98))**2 + 1 + 4 + -2*sqrt(50) + (sqrt(162) + -1 - sqrt(162)) + sqrt(162) + 4. 13*sqrt(2) + 107 Simplify (1*(sqrt(96)/sqrt(2))/sqrt(4) - (2 + 1*sqrt(300) + sqrt(300) + -3))**2. -36*sqrt(3) + 973 Simplify 5 + -5*(-5 + (sqrt(126)*4)/(-1*sqrt(128)) + -3)**2*5. -7955/4 - 600*sqrt(7) Simplify (-3 + (1 + -2*sqrt(275) - sqrt(275) - sqrt(275)*4*-5 - (sqrt(275) + 4 + sqrt(275)*-1 + 4 + 0 + sqrt(275) + sqrt(275))))**2. -1500*sqrt(11) + 61975 Simplify 4 + ((3*(sqrt(133)*-2 + sqrt(133))*-4*-4)/(-4*(-6*sqrt(1008)*-1 - sqrt(1008))))**2. 119/25 Simplify (-3 + sqrt(17) + -5 - (sqrt(17) + sqrt(136)/sqrt(392))) + -4*-3*(2*sqrt(34)/sqrt(2))**2. -sqrt(17)/7 + 808 Simplify (-2*(-6*(sqrt(2592) + -3*(-1 + sqrt(2592)) + sqrt(2592) + (sqrt(2592)*2 - sqrt(2592)) + -3)*2 + -2))**2. 16 Simplify ((sqrt(91)*2*2*3*4)/(sqrt(7) + (-1*sqrt(175) - sqrt(7)) + sqrt(7) + (2*sqrt(343) - sqrt(343))))**2. 3328 Simplify (5 + -2*((sqrt(208) + -1 + sqrt(208) + 2 - sqrt(208)) + sqrt(208)) + 3*(sqrt(208) - (sqrt(208) + -5 + -3*sqrt(208))))**2. 720*sqrt(13) + 5524 Simplify 3 + -5 + (-1 + sqrt(1900))**2 - (-1*sqrt(931)*-3 + 1 + (sqrt(931) + -1*sqrt(931))**2). -41*sqrt(19) + 1898 Simplify ((-2 + sqrt(84)/(-2*sqrt(12)) + -4)**2 + (sqrt(567)/(sqrt(27)/sqrt(3)))/(sqrt(144)*-3))*-4. -151 - 71*sqrt(7)/3 Simplify ((2*sqrt(65)*3 - -2*(sqrt(65) - 2*sqrt(65)))*4)/((sqrt(320) - 6*(sqrt(320) - 2*sqrt(320))) + -3*2*sqrt(320)). 2*sqrt(13) Simplify (6*(-2 + -2*sqrt(200) + -4)*-3)**2 + 5 + 1. 77760*sqrt(2) + 270870 Simplify (((sqrt(7) + 0)*-5 + (sqrt(126) - sqrt(14))/sqrt(2) - (3*sqrt(7)*-1 - (sqrt(28)/(-1*sqrt(4)) - sqrt(7)))) + 4)**2. -16*sqrt(7) + 44 Simplify ((sqrt(70) - (sqrt(70) + sqrt(70)*-3*-6))*-6*-4)/(sqrt(360)/sqrt(4) - -1*sqrt(490)). -216*sqrt(7)/5 Simplify (2 + 3 + 3*(sqrt(1872)*-2 + -4 - (sqrt(1872) + 1)*-1)*-3)**2. 6912*sqrt(13) + 152656 Simplify (sqrt(180)/sqrt(81) + 3*sqrt(20)*1)/(((sqrt(484) - sqrt(484)*-2) + sqrt(484) - sqrt(484))*-4) + -5. -5 - 5*sqrt(5)/198 Simplify 5 + ((-5 + sqrt(539) + 1 - (1*sqrt(539) + sqrt(539))*4) + -5 - (-3*4*sqrt(539) + sqrt(539)*3 + -1))**2. -224*sqrt(11) + 2225 Simplify ((sqrt(567) + 2)**2 + -1 + sqrt(567) - (sqrt(567) + sqrt(567) + 4 + sqrt(567) + -3)**2) + (-5 + (sqrt(567) + 0)**2 + -1)*-2. -5656 - 9*sqrt(7) Simplify (sqrt(1216) + -1*sqrt(1216)*-4 + (sqrt(1216) + 1 - sqrt(1216)) + 5 + 2 - ((-4*(sqrt(1216) + 2) - (sqrt(1216) + -2*sqrt(1216))*-1) + -1))**2. 2720*sqrt(19) + 121889 Simplify ((3 + (1*sqrt(160)*-5)/(-4*(sqrt(8) + (sqrt(32)/(sqrt(16)/sqrt(4)) - sqrt(8)))))*-1)**2. 15*sqrt(5) + 161/4 Simplify -5*(sqrt(3388) - (sqrt(3388) + -2*sqrt(3388)*3)**2) + -2*(-4 + 4*sqrt(3388)). -286*sqrt(7) + 423508 Simplify (5 + -2*((sqrt(110) - (sqrt(110) + -1*sqrt(110) - sqrt(110)))/sqrt(11) - -4*(sqrt(10) + sqrt(160)))/(sqrt(6)/sqrt(3)*-3 + 2*sqrt(2)*-3) + -2)**2. 88*sqrt(5)/3 + 10409/81 Simplify -4 + ((1*sqrt(105))/sqrt(5) + sqrt(21) + sqrt(3024)*1 + sqrt(3024))/(sqrt(567) + (sqrt(567) - 3*sqrt(567)*4)) + -5. -9 - 13*sqrt(3)/45 Simplify (-4*2*sqrt(588)*-1)/(((-2*sqrt(576))/sqrt(12))/((-2*sqrt(64))/sqrt(8))). 56*sqrt(2) Simplify 5*(-3*(5 + -3*(-3 + sqrt(448) + 1*sqrt(448)) + -2 + -3))**2. -38880*sqrt(7) + 729405 Simplify ((-3 + sqrt(104)/sqrt(8) + 4 + sqrt(104)/((sqrt(8) + sqrt(48)/sqrt(6))*5))*-1)**2. 11*sqrt(13)/5 + 1673/100 Simplify 3 + (sqrt(60)/sqrt(2)*6 - 5*sqrt(90)/sqrt(3))/(sqrt(20)/(sqrt(10)/sqrt(5))*4)*3. 3*sqrt(3)/4 + 3 Simplify ((5*(2*sqrt(35) + sqrt(35) - sqrt(35)))/sqrt(7))**2 + 1*(-3 + (sqrt(45))**2) + (sqrt(605) - (0 + 1 + sqrt(605)))**2 + 0 + 4. 547 Simplify (1 + (sqrt(147) + 0 + -3 + sqrt(147) - (1 + sqrt(147) + 0)) + (sqrt(147) - -1*(-2 + sqrt(147))) + 4 + 5)**2. 168*sqrt(3) + 1339 Simplify (-5 + sqrt(76) + -1*sqrt(76) + sqrt(76) - (-4 + (1 + sqrt(76) - sqrt(76))) - sqrt(228)/(sqrt(12) - (sqrt(12) + sqrt(972)*-2))*4)**2. -64*sqrt(19)/9 + 5188/81 Simplify (-4*(1*(sqrt(3456)*1 - sqrt(3456)) + sqrt(3456) + sqrt(3456)))/(1*5*sqrt(24)/sqrt(3)*-3). 32*sqrt(3)/5 Simplify ((-3*(sqrt(396)*-1*-3 + sqrt(396))*3 - (-5*(3 + 0 + sqrt(396)) + 0))*-5)**2. -139500*sqrt(11) + 9519525 Simplify ((4*-1*sqrt(90)*4)/(-4*sqrt(15)/sqrt(3) + -1*((-3*sqrt(5) - sqrt(5)) + sqrt(5))))**2. 4608 Simplify -5*(-5 + ((-1*sqrt(114)*3*2)/(sqrt(30)/(-4*(sqrt(5) + sqrt(20)))))**2). -492455 Simplify -3*(2 + 3*1*(-2 + ((sqrt(18)/(1*sqrt(6)) - sqrt(3))**2 - 5*(sqrt(12)/sqrt(4))**2)))*3. 441 Simplify (-4*((sqrt(539) - (sqrt(539) + sqrt(539) + sqrt(539)*3 + sqrt(539))*-4) + -3)*1*5)**2. -420000*sqrt(11) + 134753600 Simplify (-6*-1*sqrt(77)*1*3*-4)/((sqrt(21) - (sqrt(189)*2 - sqrt(189)))/((sqrt(30)*2)/sqrt(10))*1). 72*sqrt(11) Simplify -2 + (4*4*sqrt(68)*-2*1)/(2*(sqrt(28)*2)/sqrt(7)*4). -2*sqrt(17) - 2 Simplify -4 + -1*(-3 + sqrt(1216) + 5*-1*sqrt(1216) + (4*(sqrt(1216) + 1) - ((-1 + sqrt(1216))**2 + 5))). -16*sqrt(19) + 1217 Simplify ((((sqrt(176) - sqrt(176)*3*-5) + (sqrt(176) + 0)*4)*6*1)**2 + -4)*3. 7603188 Simplify (((sqrt(125) + sqrt(125) + -3*(-1 + sqrt(125)) - (1 + sqrt(125))*-1) + 3 + 1 + sqrt(125) + 4*2*sqrt(125))*-2 + -3)**2 + 1. 3420*sqrt(5) + 40862 Simplify (1*(sqrt(117)*2 + -2 + -3 + sqrt(117)*1 - ((0 + sqrt(117) - sqrt(117)) + 1 + sqrt(117) + sqrt(117) - (sqrt(117) + sqrt(117) + 1)*-4)))**2. 420*sqrt(13) + 5833 Simplify ((-3*(sqrt(7920) - -2*sqrt(7920)*-6))/(6*sqrt(11)*6 + -5*(sqrt(44)/sqrt(4) + sqrt(11))))**2. 196020/169 Simplify (-6*(sqrt(608) - sqrt(38)))/(sqrt(128) - 4*sqrt(128)) + (sqrt(171)/(-2*sqrt(9))*-2 + sqrt(38)/sqrt(32) + (sqrt(19) + -1)*2)**2. -49*sqrt(19)/4 + 3275/16 Simplify (4 + 0 + sqrt(847) - (sqrt(847) + sqrt(847) + -1 + sqrt(847) + -5))**2 - (-5*(0 + sqrt(448) + sqrt(28)/sqrt(4)*-2))**2. -2812 - 440*sqrt(7) Simplify 2 + (sqrt(1088) + (sqrt(1088) + -1*sqrt(1088))*6)**2 + (-3*(sqrt(153)*-1 + sqrt(153)) - (4 + sqrt(153) + -2)). -3*sqrt(1
{ "pile_set_name": "DM Mathematics" }
)*-13*(-5)/4? -54 What is the value of (-21*15/(-2520))/(-10*(-15)/(-8100))? -27/4 ((-48)/(-192))/((-2)/(1000/5)) -25 What is (-58)/(-58)*4081/(-77)? -53 Calculate (27/(-9))/30*(-2)/6*57*-2. -19/5 What is the value of (-5)/(-14)*69*984/14145? 12/7 Evaluate (-58761)/6529*(-3)/(-1*9). -3 What is (-62721)/4646*(1/4)/(3/16)? -18 What is the value of ((-40)/(-100))/((-12)/18)*(-2)/((-56)/(-10))? 3/14 Evaluate (-2796)/(-28659)*1/(-3)*(-9)/24. 1/82 Evaluate (120/20)/(24*6/(-456)). -19 What is (-6)/(1392/(-152))*29? 19 Evaluate (434/(-4340))/((-2)/(-60)). -3 What is the value of ((-2056)/(-13364))/((-40)/78*(-21)/28)? 2/5 Evaluate (-218)/6649*183/36. -1/6 What is (10/16)/((-2045)/(-85072))? 26 Evaluate (1/3)/((-2)/(-1242)*-23*(-12)/(-8)). -6 ((-1323)/(-2835))/((-48)/36*(-2)/8) 7/5 ((-8436)/(-370))/38*(-50)/3 -10 What is the value of (-1)/((-15)/(-85)*(-355)/(-426)*(-2)/5)? 17 What is the value of 141/(-90)*(-6156)/(-192888)? -1/20 What is the value of ((-5)/2)/((-5)/(-6)*(-690)/(-8050))? -35 What is the value of 6/(-5)*4/9*3*(-14754350)/181592? 130 Calculate (-16)/(272/(-51))*6. 18 (1452/(-1452))/((-25)/(-2))*10/4 -1/5 Evaluate 10080/1568*(-28)/(-3). 60 What is the value of ((-88)/264)/(103/(-309))? 1 Evaluate ((-24390)/(-7317))/(((-7)/14)/((-1)/(-4))). -5/3 What is the value of (-17*4)/((-35547)/(-71094))? -136 Calculate 16/1024*(-20)/45*-3. 1/48 Evaluate ((-1582)/(-26894))/(2298/(-204)). -2/383 Calculate -15*(-55)/(-1375)*280/108. -14/9 What is the value of 35/((-7)/((-3)/(-3)*(-115)/115))? 5 What is the value of -2*21/(-12)*3/7*68/6? 17 What is 224/(-392)*(-7)/(-3)*4440/(-160)? 37 (34727/(-2541))/(25/(-15)) 41/5 ((-799)/3995)/(3*(-4)/1740) 29 Evaluate ((-17)/119)/(190/35)*3*(-8)/24. 1/38 What is the value of 12/72*12*8/12*30? 40 What is 21*(-15)/180*(-15)/(45/(-42))? -49/2 What is the value of (-2)/((-88)/(5192/(-4897)))? -2/83 ((-25)/(-11)*3894/2655)/((-14)/6*1) -10/7 What is ((-218)/436)/(1*2/32*2720/408)? -6/5 Evaluate ((-63)/(-240))/7*14829/88974. 1/160 What is (-164)/574*(-770)/20*4? 44 What is (((-6)/(-75))/((-574)/(-14924)))/((-2)/5*1)? -26/5 Evaluate (24/6)/((11148/929)/(2/7*-1)). -2/21 (0*-23*(-35)/(-4025))/(2/2*-1) 0 What is the value of (-12)/14*120015/6858? -15 103/(-11742)*-18*(-4)/(-36) 1/57 (13/(3705/(-38))*30)/(124/3) -3/31 (88/121)/(488/20130) 30 Calculate 206*((-481)/(-78))/37*(18/(-4))/3. -103/2 Calculate 264/44*(62/12)/(12/(-24)). -62 Calculate ((-630)/(-1050))/((-6)/170). -17 (-23800)/(-25900)*(-444)/(-8) 51 Calculate 836/(-616)*180/(-2850). 3/35 Calculate ((3150/(-5))/21)/(((-950)/120)/(-19)). -72 Evaluate ((-288)/(-27))/((-1245)/14940). -128 (-12060)/(-536)*12/5 54 (69/(1788135/(-292)))/(2/(-5)) 2/71 What is the value of (607380/68635)/(-382)*7/(-2)*-1? -3/37 Calculate (740/444)/((-20)/28*35/(-18)). 6/5 What is ((-8)/(-80)*-32)/((27/(-90))/3)? 32 ((-45)/(-54))/((-85)/(-153))*22 33 What is the value of ((-1995)/(-72))/(-19)*(-33)/(330/8)? 7/6 Evaluate (16/18)/((1/12)/((-8)/(64/(-6)))). 8 Calculate (-30)/(-3)*33*2/(-44). -15 Evaluate (1330483/20548)/((-7)/4). -37 What is ((-6)/4*(-138)/54)/((-1751)/5253)? -23/2 Calculate 14769/2735*(-30)/(-4)*8/18. 18 Calculate (16/(-2592)*-18)/((-105)/(-34965)). 37 What is 26/1*-1*18/(-720)*10? 13/2 24/(-10)*-1*(-5920)/(-222)*(-9)/(-24) 24 What is (-1686)/5901*217*1? -62 Calculate (12/2800)/((-7317)/6504). -2/525 Evaluate (35057/41431)/((-7*(-12)/126)/(2/(-3))). -11/13 Evaluate (27/((-4320)/920))/((-5)/(-40)). -46 Evaluate -19*(-25)/43700*640/(-24)*7/35. -4/69 What is the value of (-12)/200*17/(-3060)*-20*-12? 2/25 ((-2064)/(-4))/(12/1) 43 52/156*(-990)/(-35) 66/7 Evaluate (15/80*-8)/(5*(-9)/(-1110)). -37 Calculate (26784/1984)/(3/(-6)). -27 What is (((-260)/(-117))/((-60)/(-36)))/(((-360)/3267)/10)? -121 Calculate ((-10180)/(-2036))/(24/9). 15/8 What is the value of ((10270/9165)/79)/(((-10)/9)/(-5))? 3/47 What is 40/(-70)*1*(26/(-13))/(-8)? -1/7 What is 20*((27/28)/9)/(6/(-7))? -5/2 Calculate 2*-1*(4/50)/(31/((-1550)/(-40))). -1/5 What is the value of (-108)/3600*(-1)/((-60)/160)? -2/25 What is ((-1)/((112/(-8))/518))/(((-6)/(-1))/(-6))? -37 (-5)/(((-5)/17)/(47280/(-33490))) -24 ((-99)/(-12)*832/(-780))/(12/(-120)) 88 Calculate ((-9)/(1260/(-8)))/((-1904)/76160). -16/7 82/574*(-204)/510 -2/35 What is the value of 1/(-7)*(-211)/(35870/(-68))? -2/35 What is 298530/1860*((-1)/(-6))/((-10)/40*-1)? 107 (-4)/(-18)*1396386/(-16332) -19 What is ((48/(-176))/(24/12))/((-24)/(-22))? -1/8 Evaluate (434/(34720/12))/(2/8). 3/5 Evaluate ((2/(-15))/((-424)/(-24804)))/((-54)/(-40)). -52/9 What is -4*(-63)/504*-70? -35 12/20*-2*(-2780)/42256 3/38 Calculate ((-4)/(-4))/(((-5)/(-80))/((-36)/288)). -2 What is (-3*1*(-19)/19)/(15*(-7)/1960)? -56 Calculate (48/88)/(((-1064)/88)/(-19))*56/152. 6/19 What is the value of (8520/120)/71*69/1? 69 (16*1)/((792/(-330))/6) -40 Evaluate (396/90)/((((-84)/(-14))/(-6))/(15/6)). -11 What is the value of ((-980)/28*(-5)/(875/(-21)))/((-56)/120)? 9 Evaluate 9/(5/(4/(-4)))*((-17160)/99)/52. 6 Calculate 18/53*(-36)/((-648)/(-3)). -3/53 Calculate ((-470)/2585)/((3528/(-36))/(33/3)). 1/49 What is the value of ((-2)/7)/((-4784)/(-62790))*56/(-5)? 42 What is ((-5)/65)/(286/572)? -2/13 Calculate (22/11)/(405/(-225)*60/(-171)). 19/6 Calculate 12/9*(3/(-7))/(226/(-1582)). 4 ((-30)/9)/(3220/(-8694)) 9 Evaluate ((2/(-9)*-9*6)/14)/((-304)/(-112)). 6/19 Calculate (-36)/(-21)*(-2)/((270/105)/9). -12 11*-72*-22*(-18)/8712 -36 What is the value of (-2)/(1*-2)*81/(-162)*68? -34 Calculate (-118)/944*16/114*(-27)/((-1)/(-1)). 9/19 Calculate -67*(-114)/10184*(-8)/(-18). 1/3 What is the value of ((-16)/144*-117)/((70/20)/7)? 26 Evaluate ((-2)/(-8))/(-27*16/(-216))*700/5. 35/2 Calculate ((-24)/(-80))/((1440/(-640))/(21/2)). -7/5 What is 32/(-4608)*-96*219/(-2)? -73 Evaluate (2/93)/((8/(-348))/((-3684)/26709)). 4/31 Calculate (3/(-2)*3)/((-2022)/13480). 30 168/(-168)*32/(-40) 4/5 Evaluate ((-15)/135)/(((-418)/1287)/19). 13/2 Calculate ((-71604)/(-35100))/((-5)/125). -51 What is (6/12*1)/(115/(-7130))? -31 What is -42*16/2496*((-168)/(-49))/(-6)? 2/13 Calculate ((12/7)/(770/(-539)))/(((-90)/(-9))/(-50)). 6 Evaluate (24/168)/(2/((18/9)/(-4)))*6. -3/14 What is -12*(-2)/(-4)*(-413)/168? 59/4 Calculate ((-52)/(-102))/(25116/(-2898)). -1/17 What is (2/2)/(((-8)/(-140))/(-33*(-60)/(-2310)))? -15 What is (95/(-4275)*3)/(12/70)? -7/18 Evaluate 26/((-139308)/38)*(-54)/9. 2/47 Calculate -12*(-1813)/(-1470)*(-1)/(-2)*15/(-3). 37 What is the value of (((-4)/3)/((-63)/((-23436)/(-62))))/(3/(-24))? -64 ((-795)/225)/((30/(-2))/225) 53 What is the value of (-28)/12*4/7*8550/760? -15 What is 43*((-5136)/(-8988)*(-7)/(-8))/(1/(-6))? -129 Calculate (14/92)/((-49)/98)*(-6)/28. 3/46 What is the value of ((-12166)/140)/(-79)*8/22? 2/5 What is the value of 2*5/(-135)*(5832/(-396))/18? 2/33 What is the value of 6*(4/10)/(45/(-75))*(-209)/(-7106)? -2/17 What is the value of ((-20)/(-14))/((-5205)/51009)? -14 What is the value of (20/6)/(15*8/1008)*(-76)/(-380)? 28/5 (-28)/3*14/((-588)/(-189)) -42 What is the value of ((-151497)/9774)/(2/4)? -31 Calculate ((-24)/18)/((-50)/(-975)*13). -2 Evaluate (1*(-24)/4)/((720/(-64))/(-15)). -8 What is the value of ((-351)/36)/(((-9)/14)/(4320/1260))? 52 Evaluate (4/1)/((-488)/(-987102)*-87). -93 21*(-80)/2520*26/13 -4/3 ((24/(-7))/2)/(985/20685) -36 Evaluate (128/(-72))/((7840/30)/(-98)). 2/3 What is the value of (77/((-10318)/15075))/(-18)? 25/4 (-432)/5724*53*(-27)/12 9 What is 16/6*(-2)/(-3)*32/((-2560)/270)? -6 What is the value of 1095664/(-291400)*(-25)/1? 94 What is the value of ((-26)/(-39))/(110/264*-1)? -8/5 What is 48/90*-3*79250/1268? -100 What is ((-286)/221)/(1089/(-297))? 6/17 Evaluate ((8480/4664)/((-8)/(-1)))/((-2)/12*3). -5/11 Calculate (-134)/(-2211)*-44*7*(-6)/16. 7 What is (-80)/((63/(-27))/(595/11220))? 20/11 Evaluate 242/220*247/(-8151). -1/30 ((-8)/90)/(264/144*(-32)/264) 2/5 Evaluate (-909)/(-1414)*(-70)/(-3). 15 Evaluate (6/1189)/(6204/(-169576)). -4/29 What is ((-4)/(-6))/((-127916)/(-3396))? 2/113 What is the value of (644/70)/(7/(105/(-6)))? -23 Evaluate -4*44/((-18920)/(-5)). -2/43 Calculate (-4)/34*141440/520. -32 What is the value of (8*(1760/(-256))/55)/((-7)/32)? 32/7 Calculate (((-2244)/68)/330)/(3/3*-1). 1/10 Evaluate (2/(-4))/(((-690)/2415)/(32/41
{ "pile_set_name": "DM Mathematics" }
, 53, 127 What are the prime factors of 319784956? 2, 59, 1355021 What are the prime factors of 1378359480? 2, 3, 5, 1087, 10567 List the prime factors of 60060092. 2, 241, 62303 List the prime factors of 76143953. 76143953 What are the prime factors of 156967965? 3, 5, 7, 11, 89, 509 List the prime factors of 3778420407. 3, 137, 389, 23633 List the prime factors of 66295469. 71, 933739 What are the prime factors of 3391809446? 2, 1695904723 List the prime factors of 1567658317. 1637, 957641 What are the prime factors of 89570320? 2, 5, 7, 307, 521 What are the prime factors of 1383565111? 17, 1109, 73387 What are the prime factors of 27201035? 5, 157, 34651 List the prime factors of 275025914. 2, 331, 415447 What are the prime factors of 110890289? 19, 373, 15647 What are the prime factors of 324724706? 2, 19, 8545387 List the prime factors of 4068900124. 2, 16139, 63029 List the prime factors of 522196615. 5, 104439323 What are the prime factors of 291544997? 53, 79, 179, 389 List the prime factors of 80385910. 2, 5, 11, 730781 List the prime factors of 80563962. 2, 3, 179, 75013 List the prime factors of 54987554. 2, 17, 97, 16673 What are the prime factors of 71847119? 31, 89, 26041 List the prime factors of 757816165. 5, 151563233 What are the prime factors of 34490389? 41, 101, 8329 List the prime factors of 2884390071. 3, 31, 151, 205397 List the prime factors of 6600846059. 227, 29078617 What are the prime factors of 1115684416? 2, 7, 11, 226397 What are the prime factors of 3809555474? 2, 1904777737 What are the prime factors of 39463091? 127, 310733 What are the prime factors of 5352819938? 2, 167, 179, 89533 What are the prime factors of 138700553? 83, 971, 1721 List the prime factors of 2401568156. 2, 13, 19, 1129, 2153 What are the prime factors of 1522650840? 2, 3, 5, 12688757 List the prime factors of 569859278. 2, 17, 997, 16811 What are the prime factors of 5482903985? 5, 13, 43, 1961683 List the prime factors of 39177278. 2, 7, 19, 147283 What are the prime factors of 14759101? 7, 2108443 List the prime factors of 471038824. 2, 107, 550279 What are the prime factors of 48602975? 5, 179, 10861 What are the prime factors of 363352590? 2, 3, 5, 109, 37039 What are the prime factors of 987541727? 29, 1174247 What are the prime factors of 203853365? 5, 31, 1315183 What are the prime factors of 33254134? 2, 31, 536357 What are the prime factors of 8635557? 3, 7, 19, 23, 941 List the prime factors of 582015075. 3, 5, 1291, 6011 List the prime factors of 138527939. 11, 73, 15683 List the prime factors of 63622943. 31, 37, 55469 List the prime factors of 151991045. 5, 30398209 What are the prime factors of 72722495? 5, 2293, 6343 List the prime factors of 36424966. 2, 109, 167087 What are the prime factors of 4938771799? 13, 4049, 93827 What are the prime factors of 42211055? 5, 53, 159287 List the prime factors of 40266716. 2, 7, 1438097 What are the prime factors of 2467143789? 3, 11, 74761933 List the prime factors of 37675776. 2, 3, 49057 List the prime factors of 81146185. 5, 17, 23, 41507 List the prime factors of 2231279484. 2, 3, 7, 89, 6091 List the prime factors of 87904722. 2, 3, 17, 79, 10909 List the prime factors of 9872138. 2, 17, 103, 2819 What are the prime factors of 386103914? 2, 7, 139, 198409 What are the prime factors of 1512813076? 2, 359, 1053491 List the prime factors of 1258474695. 3, 5, 547, 153379 What are the prime factors of 297643764? 2, 3, 11, 41, 43, 1279 What are the prime factors of 73979441? 73, 103, 9839 What are the prime factors of 38620295? 5, 7, 1103437 List the prime factors of 305349187. 11, 13, 194119 List the prime factors of 190846140. 2, 3, 5, 3180769 List the prime factors of 53522349. 3, 397, 44939 List the prime factors of 10489132. 2, 2622283 List the prime factors of 928273127. 761, 1219807 What are the prime factors of 3546845593? 59, 499, 120473 List the prime factors of 420844699. 11, 19, 59, 34129 What are the prime factors of 5848819? 5848819 List the prime factors of 129977459. 113, 1150243 List the prime factors of 9969953. 7, 883, 1613 What are the prime factors of 54458135? 5, 23, 473549 List the prime factors of 40083112. 2, 23, 179, 1217 What are the prime factors of 1217034665? 5, 7, 11, 3161129 List the prime factors of 40283595. 3, 5, 11, 27127 List the prime factors of 17679666. 2, 3, 2946611 What are the prime factors of 2002801405? 5, 11, 1399, 26029 List the prime factors of 146623777. 146623777 What are the prime factors of 26832866? 2, 2671, 5023 What are the prime factors of 5686163? 7, 812309 What are the prime factors of 61121062? 2, 19, 1608449 What are the prime factors of 528880904? 2, 66110113 What are the prime factors of 48020364? 2, 3, 7, 31, 683 What are the prime factors of 144602119? 17, 911, 9337 What are the prime factors of 550310372? 2, 137577593 What are the prime factors of 17876518? 2, 11, 97, 8377 What are the prime factors of 419237893? 31, 59, 229217 What are the prime factors of 268454904? 2, 3, 1637, 6833 List the prime factors of 991672533. 3, 110185837 What are the prime factors of 51162617? 11, 31, 59, 2543 What are the prime factors of 419111987? 7, 37, 59, 27427 List the prime factors of 32509856. 2, 23, 44171 What are the prime factors of 4436896? 2, 61, 2273 What are the prime factors of 36930028? 2, 9232507 List the prime factors of 4569583435. 5, 37, 197, 125383 What are the prime factors of 54395959? 83, 655373 List the prime factors of 3431856728. 2, 73, 151, 38917 List the prime factors of 7775285. 5, 7, 222151 What are the prime factors of 15992919? 3, 61, 29131 What are the prime factors of 511665682? 2, 11, 23, 61, 137 What are the prime factors of 274529631? 3, 29, 3155513 What are the prime factors of 2057044117? 67, 659, 46589 List the prime factors of 31752983. 41, 774463 What are the prime factors of 4777574586? 2, 3, 19, 1867, 22447 List the prime factors of 520740498. 2, 3, 17, 5105299 What are the prime factors of 319904124? 2, 3, 26658677 List the prime factors of 1183365485. 5, 236673097 What are the prime factors of 69799449? 3, 43, 199, 2719 What are the prime factors of 49213759? 7, 17, 277, 1493 What are the prime factors of 347561414? 2, 19, 481387 List the prime factors of 49901944. 2, 89, 109, 643 List the prime factors of 85181469. 3, 71, 399913 What are the prime factors of 874573079? 6961, 125639 What are the prime factors of 2216131450? 2, 5, 13, 59, 57787 What are the prime factors of 938195332? 2, 234548833 List the prime factors of 226977644. 2, 2617, 21683 List the prime factors of 838336775. 5, 23, 53, 27509 List the prime factors of 3840899157. 3, 426766573 What are the prime factors of 74743820? 2, 5, 41, 91151 What are the prime factors of 250277981? 41, 1321, 4621 What are the prime factors of 24217214? 2, 7, 17, 97, 1049 What are the prime factors of 123879914? 2, 239, 259163 What are the prime factors of 63355023? 3, 7039447 What are the prime factors of 60754905? 3, 5, 409, 3301 List the prime factors of 3985448300. 2, 5, 277, 143879 What are the prime factors of 43140233? 43140233 What are the prime factors of 6227647414? 2, 59, 52776673 List the prime factors of 97450550. 2, 5, 61, 89, 359 List the prime factors of 82181830. 2, 5, 643, 12781 What are the prime factors of 267874525? 5, 17, 41, 15373 List the prime factors of 72737686. 2, 7, 5195549 What are the prime factors of 35200472? 2, 17, 258827 What are the prime factors of 62186270? 2, 5, 37, 168071 What are the prime factors of 634972039? 13, 19, 31, 6379 List the prime factors of 843373642. 2, 71, 269, 22079 List the prime factors of 117048346. 2, 73, 801701 What are the prime factors of 7562601298? 2, 7, 4027, 19163 List the prime factors of 623247748. 2, 79, 1031, 1913 List the prime factors of 380332602. 2, 3, 13, 17, 67, 1427 List the prime factors of 144273249. 3, 37, 433253 What are the prime factors of 1688317271? 239, 7064089 What are the prime factors of 516531057? 3, 7, 53, 464089 What are the prime factors of 1383491196? 2, 3, 38430311 What are the prime factors of 16014658? 2, 11, 727939 What are the prime factors of 25560518? 2, 379, 33721 What are the prime factors of 650712231? 3, 13, 71, 26111 What are the prim
{ "pile_set_name": "DM Mathematics" }
wer of 1/7, to the nearest integer? 6 What is the square root of 185791 to the nearest integer? 431 What is 425972 to the power of 1/2, to the nearest integer? 653 What is the square root of 10151023 to the nearest integer? 3186 What is the seventh root of 17530 to the nearest integer? 4 What is 1586935 to the power of 1/2, to the nearest integer? 1260 What is 931346 to the power of 1/2, to the nearest integer? 965 What is 19921443 to the power of 1/2, to the nearest integer? 4463 What is 748684 to the power of 1/10, to the nearest integer? 4 What is 227683 to the power of 1/9, to the nearest integer? 4 What is 232415 to the power of 1/10, to the nearest integer? 3 What is the third root of 2276349 to the nearest integer? 132 What is 1089508 to the power of 1/2, to the nearest integer? 1044 What is 1320802 to the power of 1/2, to the nearest integer? 1149 What is the square root of 192548 to the nearest integer? 439 What is the cube root of 1308690 to the nearest integer? 109 What is the square root of 5357940 to the nearest integer? 2315 What is 155031 to the power of 1/10, to the nearest integer? 3 What is 3396772 to the power of 1/9, to the nearest integer? 5 What is the sixth root of 558446 to the nearest integer? 9 What is 24934 to the power of 1/6, to the nearest integer? 5 What is the ninth root of 23862 to the nearest integer? 3 What is the fifth root of 898767 to the nearest integer? 16 What is 240853 to the power of 1/9, to the nearest integer? 4 What is 4801554 to the power of 1/5, to the nearest integer? 22 What is the tenth root of 134362 to the nearest integer? 3 What is 9167044 to the power of 1/2, to the nearest integer? 3028 What is the square root of 24545657 to the nearest integer? 4954 What is 2235056 to the power of 1/3, to the nearest integer? 131 What is 3466253 to the power of 1/3, to the nearest integer? 151 What is the square root of 2470490 to the nearest integer? 1572 What is the cube root of 270185 to the nearest integer? 65 What is the seventh root of 1246938 to the nearest integer? 7 What is 32569173 to the power of 1/2, to the nearest integer? 5707 What is the square root of 612918 to the nearest integer? 783 What is the square root of 5572134 to the nearest integer? 2361 What is 918079 to the power of 1/2, to the nearest integer? 958 What is the square root of 1078292 to the nearest integer? 1038 What is the square root of 3528201 to the nearest integer? 1878 What is the cube root of 73621 to the nearest integer? 42 What is 1625512 to the power of 1/6, to the nearest integer? 11 What is the square root of 155225 to the nearest integer? 394 What is 262819 to the power of 1/2, to the nearest integer? 513 What is the cube root of 1059033 to the nearest integer? 102 What is the square root of 774261 to the nearest integer? 880 What is the fifth root of 9364442 to the nearest integer? 25 What is 6055627 to the power of 1/3, to the nearest integer? 182 What is the cube root of 1377045 to the nearest integer? 111 What is the fifth root of 12519178 to the nearest integer? 26 What is 798336 to the power of 1/7, to the nearest integer? 7 What is the square root of 302519 to the nearest integer? 550 What is the square root of 27436450 to the nearest integer? 5238 What is 1444477 to the power of 1/6, to the nearest integer? 11 What is 1934078 to the power of 1/4, to the nearest integer? 37 What is the cube root of 42483 to the nearest integer? 35 What is the square root of 5766878 to the nearest integer? 2401 What is the third root of 104667 to the nearest integer? 47 What is the eighth root of 1517807 to the nearest integer? 6 What is 1698323 to the power of 1/7, to the nearest integer? 8 What is 3310040 to the power of 1/8, to the nearest integer? 7 What is 10710 to the power of 1/2, to the nearest integer? 103 What is the cube root of 165272 to the nearest integer? 55 What is the fifth root of 230816 to the nearest integer? 12 What is 5365840 to the power of 1/2, to the nearest integer? 2316 What is the square root of 1628982 to the nearest integer? 1276 What is 748387 to the power of 1/8, to the nearest integer? 5 What is the ninth root of 1776082 to the nearest integer? 5 What is 742433 to the power of 1/2, to the nearest integer? 862 What is the square root of 327855 to the nearest integer? 573 What is 641880 to the power of 1/2, to the nearest integer? 801 What is the sixth root of 4184412 to the nearest integer? 13 What is the square root of 13855672 to the nearest integer? 3722 What is the third root of 1535055 to the nearest integer? 115 What is 3305878 to the power of 1/3, to the nearest integer? 149 What is the square root of 4171747 to the nearest integer? 2042 What is 117814 to the power of 1/2, to the nearest integer? 343 What is 447851 to the power of 1/5, to the nearest integer? 13 What is the third root of 320000 to the nearest integer? 68 What is the third root of 2476374 to the nearest integer? 135 What is the square root of 3378519 to the nearest integer? 1838 What is the third root of 837058 to the nearest integer? 94 What is the third root of 2016320 to the nearest integer? 126 What is the square root of 70671 to the nearest integer? 266 What is 12080062 to the power of 1/3, to the nearest integer? 229 What is the cube root of 469770 to the nearest integer? 78 What is 4264017 to the power of 1/6, to the nearest integer? 13 What is 824612 to the power of 1/9, to the nearest integer? 5 What is the fourth root of 730669 to the nearest integer? 29 What is the square root of 15400534 to the nearest integer? 3924 What is the square root of 146891 to the nearest integer? 383 What is the square root of 11341453 to the nearest integer? 3368 What is 236760 to the power of 1/9, to the nearest integer? 4 What is the fourth root of 207260 to the nearest integer? 21 What is the cube root of 431113 to the nearest integer? 76 What is the third root of 22039806 to the nearest integer? 280 What is 7686295 to the power of 1/3, to the nearest integer? 197 What is 108317 to the power of 1/4, to the nearest integer? 18 What is the third root of 413845 to the nearest integer? 75 What is the fifth root of 21028164 to the nearest integer? 29 What is the third root of 166387 to the nearest integer? 55 What is the third root of 703409 to the nearest integer? 89 What is 102433 to the power of 1/7, to the nearest integer? 5 What is the ninth root of 1174825 to the nearest integer? 5 What is 4794826 to the power of 1/8, to the nearest integer? 7 What is the square root of 6458762 to the nearest integer? 2541 What is the fifth root of 6134245 to the nearest integer? 23 What is the ninth root of 185007 to the nearest integer? 4 What is the seventh root of 48188 to the nearest integer? 5 What is 2099164 to the power of 1/2, to the nearest integer? 1449 What is 235683 to the power of 1/10, to the nearest integer? 3 What is 5927545 to the power of 1/2, to the nearest integer? 2435 What is 40109 to the power of 1/2, to the nearest integer? 200 What is 2577026 to the power of 1/2, to the nearest integer? 1605 What is the cube root of 2812383 to the nearest integer? 141 What is 1357852 to the power of 1/2, to the nearest integer? 1165 What is the square root of 1141859 to the nearest integer? 1069 What is the third root of 15196822 to the nearest integer? 248 What is 179781 to the power of 1/3, to the nearest integer? 56 What is 1748032 to the power of 1/3, to the nearest integer? 120 What is 503982 to the power of 1/3, to the nearest integer? 80 What is 1059372 to the power of 1/4, to the nearest integer? 32 What is 178458 to the power of 1/9, to the nearest integer? 4 What is the fourth root of 150686 to the nearest integer? 20 What is 1935998 to the power of 1/10, to the nearest integer? 4 What is the tenth root of 4498582 to the nearest integer? 5 What is the square root of 1992664 to the nearest integer? 1412 What is the square root of 1193565 to the nearest integer? 1093 What is the cube root of 1059540 to the nearest integer? 102 What is the cube root of 3543999 to the nearest integer? 152 What is 197316 to the power of 1/5, to the nearest integer? 11 What is the square root of 218816 to the nearest integer? 468 What is 32143
{ "pile_set_name": "DM Mathematics" }
True Does 5 divide 392? False Is 4 a factor of 271? False Is 1942 a multiple of 8? False Is 30 a factor of 581? False Does 22 divide 519? False Does 13 divide 383? False Is 44677 a multiple of 43? True Is 15 a factor of 7526? False Is 1640 a multiple of 44? False Does 2 divide 3? False Is 31 a factor of 1240? True Does 13 divide 11698? False Is 24 a factor of 5088? True Is 58 a factor of 8642? True Is 57 a factor of 2249? False Is 23 a factor of 96853? True Is 99 a multiple of 3? True Is 7 a factor of 133? True Is 19824 a multiple of 59? True Does 25 divide 838? False Does 13 divide 10918? False Does 32 divide 53760? True Is 41232 a multiple of 48? True Is 2928 a multiple of 16? True Is 24897 a multiple of 43? True Is 2119 a multiple of 78? False Does 14 divide 621? False Is 2345 a multiple of 7? True Is 14 a factor of 1329? False Is 7 a factor of 238? True Does 7 divide 764? False Is 1198 a multiple of 44? False Is 18734 a multiple of 27? False Is 9 a factor of 153? True Is 9 a factor of 365? False Is 818 a multiple of 6? False Is 3398 a multiple of 73? False Is 2006 a multiple of 21? False Does 11 divide 8509? False Is 24321 a multiple of 17? False Does 15 divide 24491? False Is 2397 a multiple of 17? True Does 45 divide 1800? True Does 16 divide 47600? True Does 210 divide 36960? True Is 39 a multiple of 7? False Is 1650 a multiple of 55? True Is 53 a factor of 5247? True Is 17770 a multiple of 12? False Is 6 a factor of 2475? False Is 1239 a multiple of 21? True Is 79 a factor of 90455? True Is 9 even? False Is 2 a factor of 409? False Is 423 a factor of 4054? False Is 3 a factor of 270? True Is 10987 a multiple of 20? False Is 56 a factor of 21784? True Is 37 a factor of 31836? False Is 15 a factor of 10545? True Is 37 a factor of 17242? True Is 10 a factor of 501? False Is 3106 a multiple of 69? False Is 2958 a multiple of 138? False Does 20 divide 1340? True Does 14 divide 137? False Is 8 a factor of 16? True Is 3 a factor of 826? False Does 3 divide 46764? True Is 329 a factor of 20595? False Is 5 a factor of 175? True Is 12768 a multiple of 84? True Is 27 a factor of 1286? False Is 62 a factor of 2294? True Is 1034 a multiple of 6? False Is 35 a factor of 350? True Is 2619 a multiple of 9? True Does 10 divide 36310? True Does 29 divide 876? False Does 34 divide 952? True Is 3467 a multiple of 16? False Is 926 a multiple of 6? False Is 570 a multiple of 5? True Is 20 a factor of 80? True Does 25 divide 347? False Is 42 a factor of 1478? False Is 11 a factor of 46343? True Does 174 divide 20924? False Is 544 a multiple of 86? False Is 1526 a multiple of 109? True Does 92 divide 19009? False Is 324 a multiple of 6? True Does 38 divide 2055? False Is 6629 a multiple of 12? False Is 846 a multiple of 47? True Does 9 divide 1924? False Is 1427 a multiple of 54? False Is 7242 a multiple of 17? True Is 26 a factor of 5814? False Does 12 divide 1956? True Is 18055 a multiple of 16? False Is 375 even? False Does 71 divide 10721? True Is 2356 a multiple of 31? True Is 37 a factor of 928? False Is 5 a factor of 2195? True Is 85 a factor of 1955? True Is 33 a factor of 476? False Is 6 a factor of 74184? True Does 22 divide 12298? True Is 243 a multiple of 27? True Is 64 a factor of 875? False Does 57 divide 855? True Does 21 divide 166425? True Does 2 divide 170? True Does 17 divide 15385? True Is 26275 a multiple of 32? False Does 13 divide 1729? True Does 9 divide 4818? False Does 61 divide 7518? False Is 646 a multiple of 40? False Is 264 a multiple of 4? True Is 1262 a multiple of 8? False Is 1380 a multiple of 28? False Does 13 divide 2106? True Is 20 a factor of 150? False Does 4 divide 2274? False Does 34 divide 2829? False Does 14 divide 980? True Does 5 divide 3965? True Is 351 a multiple of 3? True Is 43 a factor of 36133? False Is 10304 a multiple of 56? True Is 2207 a multiple of 28? False Is 4 a factor of 856? True Is 9509 a multiple of 118? False Is 556 a multiple of 7? False Is 136 a factor of 22712? True Does 12 divide 660? True Is 609 a multiple of 21? True Is 1444 a multiple of 10? False Does 16 divide 448? True Does 70 divide 6090? True Does 10 divide 400? True Does 30 divide 1110? True Does 12 divide 1037? False Does 4 divide 4826? False Is 36 a factor of 396? True Is 540 a multiple of 9? True Does 12 divide 4116? True Is 13 a factor of 71110? True Is 12 a factor of 5684? False Does 27 divide 540? True Is 17101 a multiple of 8? False Does 13 divide 299? True Is 511 a multiple of 16? False Is 1196 a multiple of 52? True Does 82 divide 5456? False Is 24 a factor of 1622? False Does 9 divide 623? False Does 113 divide 13173? False Does 132 divide 48444? True Is 8 a factor of 6368? True Is 18 a factor of 3294? True Is 9 a factor of 40050? True Does 16 divide 3385? False Is 536 a multiple of 4? True Does 6 divide 384? True Does 30 divide 2190? True Is 124 a multiple of 31? True Is 2429 a multiple of 72? False Is 3534 a multiple of 12? False Is 7 a factor of 2140? False Does 12 divide 1476? True Does 96 divide 22644? False Does 21 divide 11692? False Does 51 divide 2142? True Is 900 a multiple of 45? True Does 16 divide 14848? True Is 301 a multiple of 43? True Is 814 a multiple of 74? True Is 31 a factor of 1087? False Does 8 divide 3696? True Is 1699 a multiple of 6? False Is 38 a factor of 5578? False Is 36 a factor of 31055? False Does 92 divide 46000? True Is 13787 a multiple of 17? True Does 2 divide 1865? False Does 138 divide 40296? True Is 24 a factor of 48? True Does 6 divide 10752? True Is 816 a multiple of 12? True Does 5 divide 161? False Is 6191 a multiple of 70? False Does 10 divide 100? True Does 18 divide 705? False Is 27 a factor of 933? False Is 9 a factor of 16? False Does 10 divide 925? False Is 1809 a multiple of 67? True Is 12 a factor of 576? True Is 14 a factor of 2912? True Is 41 a factor of 1298? False Is 32 a factor of 54425? False Does 21 divide 1872? False Is 3535 a multiple of 14? False Is 4 a factor of 1972? True Is 14 a factor of 7209? False Does 4 divide 2079? False Is 34 a factor of 2346? True Does 69 divide 1098? False Is 4968 a multiple of 46? True Does 9 divide 324? True Is 38 a factor of 798? True Is 305 a multiple of 12? False Is 1970 a multiple of 10? True Is 2443 a multiple of 7? True Does 4 divide 1084? True Is 728 a multiple of 52? True Is 15 a factor of 6435? True Does 21 divide 3591? True Is 11918 a multiple of 84? False Is 147 a factor of 1433? False Does 10 divide 500? True Does 6 divide 360? True Is 682 a multiple of 25? False Is 6510 a multiple of 62? True Is 2 a factor of 4591? False Is 5 a factor of 67? False Does 31 divide 1178? True Does 92 divide 1349? False Is 1125 a multiple of 64? False Is 37835 a multiple of 23? True Is 3833 even? False Is 4300 a multiple of 26? False Is 4048 a multiple of 88? True Is 111771 a multiple of 187? False Is 3863 a multiple of 10? False Is 188 a multiple of 47? True Does 9 divide 2899? False Is 387 a multiple of 3? True Is 5 a factor of 1720? True Does 22 divide 1150? False Is 28586 a multiple of 9? False Is 40 a factor of 21760? True Does 9 divide 396? True Does 19 divide 64125? True Does 7 divide 970? False Is 23 a factor of 30? False Is 6 a factor of 3389? False Does 4 divide 163? False Is 462 a multiple of 42? True Does 191 divide 4405? False Is 80 a factor of 3200? True Is 162 a multiple of 6? True Is 560 a multiple of 11? False Does 43 divide 10578? True Is 29 even? False Does 98 divide 12446? True Is 28 a factor of 875? False Is 13 a factor of 9061? True Is 8626 a multiple of 38? True Does 34 divide 12784? True Is 21700 a multiple of 14? True Is 5700 a multiple of 50? True Does 185 divide 24235? True Is 3045 a multiple of 203? True Is 120 a multiple of 13? False Is 1260 a multiple of 36? True Is 4 a factor of 54? False Is 2874 a multiple of 86? False Is 24 a factor of 2855? False Is 29230 a multiple of 10? True Is 42 a factor of 924? True Is 21 a factor of 4138? False Is 17864 a multiple of 88? True Is 16 a factor of 13695? False Is 1517 a multiple of 26? False Is 598 a multiple of 2? True Is 10812 a multiple of 91? False Is 14 a factor of 15830? False Is 164 a factor of 1476? True Is 17 a factor of 10882? False Is 51472 a multiple of 8
{ "pile_set_name": "DM Mathematics" }
5*u + 3*t + 6 = -2, -d = 4*t. Is l at least u? True Suppose 4*s = 12, 3*q - 5*s + 5 = -4. Suppose 20 = q*a + 2*a. Suppose 0 = f + 4*g + 6 - 26, a*f - g + 5 = 0. Is 0 greater than f? False Let y = 159 - 1116/7. Suppose 0 = -4*r - 2 - 2. Is y at most r? False Let c be 2/(-10) + 392/(-40). Let f = 13 + c. Is f at most as big as 1? False Suppose -d + 6*d = -15. Let p be -1 + -3*d/15. Are 1 and p unequal? True Let v be 2*-4*(-1)/8. Which is smaller: -2/31 or v? -2/31 Let r = -5.07 - -4.87. Let g be (-3 + 1)*1258/44. Let f = g - -57. Which is greater: f or r? f Let o be (1/(-2))/((-1)/(-14)). Let t = -3 - o. Which is greater: t or 2? t Let w = 2 - 3. Let t be w + 4 + (-4 - -2). Which is smaller: t or 2/17? 2/17 Let y = 85 - 83. Is 5 bigger than y? True Let g be (8/(-24))/(1/(-3)). Let u be (((-4)/154)/g)/2. Let l = -223/616 + u. Which is smaller: l or 0? l Let l = 93 + -89. Which is bigger: 1 or l? l Let r = -0.04 + 0.64. Let x = r + -0.4. Let f = x + -0.1. Which is smaller: f or 0.2? f Let v = -14 - -24. Is 10 >= v? True Let m be (-121)/(-4) + 2/(-8). Suppose -12*u + 8 = -8*u. Let p be u/7 + m/42. Which is greater: -2/9 or p? p Suppose -4*l = -27 + 11. Let w(y) = y**2 - 8*y + 10. Let i be w(7). Let c = i - l. Is c > 0? False Suppose -30 = -5*v + 5*x, 0*v - 3*v + 22 = -5*x. Let z be (8/3)/v*6. Let m = -144 + 147. Which is bigger: m or z? z Let h be 2 + (0 - -1) + -1. Suppose 6 = -3*m + 9. Is h at least as big as m? True Suppose -16 = 3*q + 2*m, m = -5*q + 3 - 25. Let o = q + 4. Let z = 74/5 - 15. Which is greater: o or z? o Suppose 3*y + 3 = 18, 4*s + 5*y - 13 = 0. Suppose 0 - 4 = -l. Let u = s + l. Is 2 != u? True Let u = 4 + 3. Suppose -4*p = -u*p. Do p and -4/3 have the same value? False Let l = -7 + 12. Suppose -2*w + 5*d = -3*w + 2, 0 = -l*d. Suppose -4*v - 3*b - 2 = 0, -5*v - 5*b = -0*v + 5. Do v and w have different values? True Let j = 0.6 + -0.4. Let h = 0.1 - j. Do 2 and h have the same value? False Let y be (24/(-870))/(((-2)/5)/1). Do y and 0 have different values? True Let l = -1.28 - 0.02. Let u = l + 8.3. Let z = -6.5 + u. Which is bigger: z or 1/3? z Let f = -754/3 + 21067/84. Let b = f + 2/7. Does b = 2/3? False Let j = -28/165 + -2/165. Is 2/3 greater than j? True Let z = 1494/7 - 213. Does -1/3 = z? False Let x be 2/2*(-5 + 0). Let z(i) = i**3 - 3*i**2 + 2*i - 4. Let a be z(3). Suppose a*j + 8 = -0*j. Is x smaller than j? True Let p = -3 + -1. Let f = p - -3. Is f at most as big as 1/3? True Suppose -55 = 6*d + 425. Let w be 2/(-16) - (-310)/d. Suppose -g + 6*g + 30 = 0. Is w > g? True Suppose 2*c + 0*c - 8 = 0. Let l(k) = -k**3 - 14*k**2 + 15*k + 2. Let u be l(-15). Which is greater: c or u? c Suppose 2 - 3 = -l. Is 2/3 at most l? True Let v = -657 - -3271/5. Which is bigger: -4 or v? v Suppose 4*h + 4 = 2*u, 5 = 3*u - h - 1. Which is smaller: -3 or u? -3 Let w(a) = -2*a + 2. Let h(i) = -i. Let m(y) = -3*h(y) + w(y). Let l be m(-3). Do -8/9 and l have the same value? False Let h = 39252/5 + -7875. Let l = 32 + -7. Let u = h + l. Are 0 and u nonequal? True Let g be -1 - (0 - (-26)/(-28)). Suppose 0 = 4*z + z. Which is greater: z or g? z Let c = 15 - -7. Let j = -17 + c. Let n = -0.7 + -0.3. Which is smaller: n or j? n Suppose 0 = c + 4*c + 5. Let k = 103 - 719/7. Which is smaller: c or k? c Suppose -c - 1 = 2. Let r be 2/3 + (-1)/c. Is r at most 0? False Let y be (8/50)/(6/(-15)). Is 1.1 != y? True Let n = 3.5 + -3.81. Let g = 0.01 + n. Let t = g + 0.5. Are -1 and t non-equal? True Suppose -16 = -2*r - 2*t, 0*r - t = -4*r + 37. Let v = -5 + r. Which is smaller: 3 or v? 3 Let g = 4 - -1. Let w = -1 - g. Which is smaller: -5 or w? w Let n = -2 + 5. Suppose -u - 3*w + n + 6 = 0, -w + 3 = -u. Let l = -100/9 + 98/9. Is u at most as big as l? False Let b be (-9)/(-7) + -1 + (-517)/(-77). Which is bigger: 8 or b? 8 Let t be 5/(-5)*(-2)/(-8). Let x = 21/4 - 19/4. Which is greater: t or x? x Let f(g) = -2*g**2 - 19*g - 9. Let s be f(-9). Let d be ((-12)/10)/((-2)/5). Is s less than d? True Let j be 3 + 4 + 321/(-48). Is 1 smaller than j? False Let u = -2.96 + 3. Let j = u - 1.04. Let t = j + 1.5. Which is greater: t or 0.1? t Let f be ((-78)/(-14))/((-2)/7). Let y be ((-5)/3)/((-2)/24). Let k = f + y. Which is greater: k or 0? k Let l be 14 + -11 + (7 - 0). Is l bigger than 10? False Let z = -221 - -110. Is -111 less than or equal to z? True Suppose 1397 = -10*c + 5*c + 3*j, 2*c + 542 = -3*j. Let v = -140490 - -3800711/27. Let q = c + v. Is 0 at most as big as q? True Let o be 1617/1575 + 2/(-2*1). Which is bigger: o or 1? 1 Let m be 0/3 + 2/(-6). Suppose 2*i + 0*y = -3*y - 11, 4*y = 4*i - 8. Let d be i/4 + 15/(-20). Does d = m? False Suppose -4*u = 3*b - 5*u + 52, b + u + 24 = 0. Does b = -18? False Let x be 6/(-20)*4/3. Let g be 11/4 - (-3)/12. Suppose -2*q + w - 6 = 2*w, -q = -g*w - 11. Is x greater than q? True Let r = -2.6 - -1.4. Let p = r + 0.2. Suppose 0*q = 2*q + 4. Which is bigger: p or q? p Suppose -3*d - 23 = x, -5*x = -2*x - 5*d + 27. Let u = -8 - x. Let n be (4/u)/((-2)/3). Is n greater than or equal to -1/3? False Let n(j) be the first derivative of 5*j**2/2 + 7*j - 1. Let o be n(-2). Is -3 not equal to o? False Let m(a) = -a**3 + 2*a**2 + a - 2. Let n be m(2). Which is greater: 1/38 or n? 1/38 Suppose 8 = -0*o + 4*o. Let y = -12 - -14. Suppose 0 = y*s + o*s. Is s greater than or equal to -4/3? True Suppose a - 2*a - 2 = 0. Suppose -3*u = -2*z + 11, u + 3 = -0. Which is bigger: z or a? z Let g = -13 + 19. Is g != 4? True Let b = -0.1 - -1.1. Let y = b - 1.1. Let l = 5/2 + -3. Is y at least as big as l? True Let b = 0 + 0. Suppose 3*v - 95 = -b*v - 5*u, 0 = -2*v + 5*u + 55. Let d be (-2)/v*-1*-3. Which is bigger: d or 1? 1 Suppose 5*j + 3*c = 6*c - 15, 5*c = 25. Which is bigger: j or -0.057? j Let j be 1 - (2 + -10)/2. Let m = j + -4. Let i be 2 - (m - 0/(-3)). Which is smaller: 2/11 or i? 2/11 Let v = 250 - 2248/9. Is v equal to -1? False Suppose -i + 40 = f, -3*f + 2*i + 116 = 7*i. Suppose -6*l = -l + 10. Let x be (36/f)/(l/14). Which is smaller: -7 or x? -7 Let n = 1 - 1. Suppose -3*c + 3*t + 8 - 17 = n, -9 = 3*c + t. Let u be (-10)/5*c/(-2). Which is smaller: -1/2 or u? u Let a = 0 + 1. Which is greater: a or -0.7? a Let u = -0.2 - -0.3. Let p = 86 + -85.94. Which is smaller: u or p? p Let k = 5 - 8. Let g(p) be the third derivative of p**5/60 + p**4/4 + p**3/3 + 2*p**2. Let h be g(-5). Is h >= k? True Let a = -0.024 + -0.276. Which is smaller: a or -2/3? -2/3 Suppose 0 = 2*y - 7*y - 5. Suppose 4*z - 3*z + 2 = 0. Which is greater: y or z? y Let h = -367/4 + 91. Let z = h + 37/60. Which is smaller: z or 1? z Suppose d = 0, 2*u + 2 = 5*d + 4. Let s(r) = r**2 - 6*r - 2. Let n be s(3). Let o = -9 - n. Which is greater: o or u? o Let c = -27 - -29. Which is smaller: 2/7 or c? 2/7 Suppose -9 = -3*k + 3*f, 1 = -2*f - 1. Let q be 3 + 32/(-10) + (-48)/(-15). Which is bigger: k or q? q Suppose -13 = -r - p, 0*p - p - 14 = -2*r. Let x be 6/r + (-2)/12. Let a(k) = -k**3 - 2*k**2 + 4*k + 3. Let b be a(-3). Is b greater than x? False Suppose z = -5*h - 198, -h + 0*z - 46 = -3*z. Which is bigger: -39 or h? -39 Let a be -10*((-7)/(-2) + -3). Is -3 equal to a? False Suppose 0 = 3*r - 7*r. Suppose 0 = p - 1 + 2. Let f = p + 0. Is f not equal to r? True Let v = 0.128 - 0.088. Let z(q) = q**2 - 5*q + 4. Let t be z(4). Is v equal to t? False Let g = -9 - -7.8. Let n = 1.4 + g. Are -1 and n non-equal? True Let a be (-1 - -1)*1/2. Let i be ((-4)/(-4) + 0)*-1. Is i at most a? True Suppose -2*p + 28 = -4*k, -4*p = -2*k - k - 26. Are -1 and k non-equal? True Let w be 4 - -4*78/(-80). Which is bigger: w or -0.09? w Suppose -h + 77 = 14. Let u be 128/(-350) + 18/h. Which is smaller: 0 or u? u Let c(b) = b**2 + 21*b + 21. Let y be c(-21). Which is smaller: 19 or y? 19 Let a(y) = -9 + 4*y**3 + 2 + y**2 - 3*y**2 + 5*y. Let c(r) = -3*r**3 + r**2 - 5*r + 6. Let d(g) = 4*a(g) + 5*c(g). Let k be d(4). Is -2 equal to k? True Let r = -5/258 + -619/7998. Are 0 and r equal? False Suppose -5*j + 3 - 13 = -4*l, 2*j + 4 = -5*l. Is -12 greater than j? False Let v = -179/6 + 30. Let q = 0 - 0. Which is bigger: q or v? v Suppose 2*n = -4*x + 2*x - 10, -3*x - 2*n - 16 = 0. Let m be (1/x)/(4/8). Are 7 and m non-equal? True Let z(p) = -p - 2. Let r be z(-3). Is r
{ "pile_set_name": "DM Mathematics" }
? 23144 What is the least common multiple of 56 and 280? 280 Calculate the least common multiple of 678 and 9. 2034 Calculate the common denominator of -38/3 and 56/15. 15 What is the least common multiple of 408 and 288? 4896 What is the common denominator of 9/590 and 34/15? 1770 What is the common denominator of 57/134 and -133/30? 2010 What is the common denominator of 7/10 and -3/23500? 23500 Calculate the common denominator of 91/2 and -1/254. 254 What is the lowest common multiple of 6363 and 5656? 50904 Find the common denominator of -31/1350 and -79/810. 4050 Find the common denominator of 93/14 and -43/42. 42 Calculate the least common multiple of 168 and 12. 168 What is the common denominator of 49/45 and 53/21? 315 Find the common denominator of -33/2 and 5/234. 234 What is the common denominator of -41 and 131/174? 174 What is the common denominator of -73/1272 and -61/408? 21624 What is the common denominator of 43/1143 and 56/93? 35433 Calculate the lowest common multiple of 2 and 121. 242 Calculate the least common multiple of 2041 and 8. 16328 What is the lowest common multiple of 30 and 210? 210 What is the lowest common multiple of 4110 and 411? 4110 Calculate the lowest common multiple of 1233 and 4521. 13563 Find the common denominator of -11/1704 and -13/639. 5112 What is the common denominator of -34/1837 and 46/5? 9185 What is the common denominator of -127/1360 and 143/24? 4080 Calculate the smallest common multiple of 12 and 592. 1776 Calculate the common denominator of 97/38 and 16/133. 266 What is the smallest common multiple of 166 and 12? 996 Calculate the common denominator of 59/4 and -11/9. 36 What is the common denominator of -87/16 and -77/4876? 19504 Calculate the least common multiple of 14 and 28. 28 What is the common denominator of -145/6 and 61/418? 1254 Calculate the least common multiple of 1084 and 1355. 5420 Calculate the common denominator of -39/560 and 55/952. 9520 Calculate the common denominator of 51/8 and -95/3126. 12504 What is the least common multiple of 112 and 56? 112 Calculate the least common multiple of 9 and 28. 252 Calculate the common denominator of -111/35980 and 97/20. 35980 What is the least common multiple of 7 and 86? 602 What is the common denominator of -25/6 and 143/984? 984 Find the common denominator of 41/836 and 53/12. 2508 What is the smallest common multiple of 45 and 12? 180 Calculate the common denominator of 73/26 and -23/52. 52 Calculate the common denominator of 79/3006 and -55/18. 3006 Calculate the common denominator of 93/2 and 139/4416. 4416 Find the common denominator of -25/24 and 19/708. 1416 What is the smallest common multiple of 30 and 5280? 5280 What is the least common multiple of 108 and 18? 108 What is the least common multiple of 84 and 96? 672 Calculate the least common multiple of 297 and 36. 1188 What is the lowest common multiple of 123 and 9? 369 What is the common denominator of -7/267 and 51/89? 267 What is the common denominator of -143/30 and 61/200? 600 What is the common denominator of -57/2 and 145/18? 18 What is the smallest common multiple of 210 and 24? 840 Find the common denominator of -49/2970 and 67/10. 2970 What is the common denominator of 37/374 and 95/442? 4862 What is the lowest common multiple of 33 and 19? 627 What is the lowest common multiple of 3597 and 99? 10791 Calculate the common denominator of 31/1803 and 49/207. 124407 What is the smallest common multiple of 126 and 84? 252 What is the smallest common multiple of 270 and 3360? 30240 Calculate the smallest common multiple of 154 and 198. 1386 What is the smallest common multiple of 32 and 206? 3296 What is the least common multiple of 63 and 42? 126 What is the least common multiple of 12 and 36? 36 Calculate the common denominator of -63/398 and 1/60. 11940 What is the smallest common multiple of 8 and 132? 264 Calculate the least common multiple of 24 and 5706. 22824 Calculate the common denominator of 53/18 and 45/1084. 9756 What is the lowest common multiple of 118 and 10? 590 Calculate the lowest common multiple of 912 and 33. 10032 Calculate the common denominator of -73/72 and 75/8. 72 Find the common denominator of 48/7 and 101/392. 392 Calculate the common denominator of 9/14 and 67/144. 1008 Calculate the common denominator of 103/96 and 145/12. 96 Calculate the common denominator of 61/3916 and 79/712. 7832 Calculate the lowest common multiple of 406 and 70. 2030 What is the smallest common multiple of 11979 and 3267? 35937 Find the common denominator of -59/2 and 101/1448. 1448 Find the common denominator of -58/3 and -38/93. 93 Calculate the lowest common multiple of 6 and 33810. 33810 Calculate the common denominator of 29/425 and 29/275. 4675 Calculate the common denominator of 58/231 and -24/11. 231 Find the common denominator of -28/33 and 53/2334. 25674 What is the lowest common multiple of 1850 and 518? 12950 What is the least common multiple of 687 and 9? 2061 Calculate the lowest common multiple of 315 and 360. 2520 Find the common denominator of -13/8 and -5/76. 152 Calculate the least common multiple of 16 and 258. 2064 Find the common denominator of -53/48 and -37/18. 144 What is the least common multiple of 184 and 1656? 1656 Calculate the lowest common multiple of 42 and 72. 504 What is the lowest common multiple of 376 and 1316? 2632 Calculate the smallest common multiple of 30 and 81. 810 Calculate the lowest common multiple of 4 and 50. 100 What is the common denominator of 57/505 and 19/11? 5555 Find the common denominator of 17/45 and -17/234. 1170 Calculate the common denominator of 34/3 and 25/5436. 5436 What is the smallest common multiple of 3 and 1542? 1542 Calculate the common denominator of -11/4 and -38. 4 What is the least common multiple of 3984 and 80? 19920 What is the smallest common multiple of 192 and 24? 192 Calculate the smallest common multiple of 352 and 544. 5984 What is the smallest common multiple of 140 and 40? 280 Calculate the common denominator of -14/31 and 111/14. 434 Calculate the common denominator of 12/371 and 7/159. 1113 What is the smallest common multiple of 198 and 22? 198 Calculate the common denominator of 109/132 and -39/22. 132 What is the common denominator of -5/6 and -15/2833? 16998 What is the least common multiple of 720 and 1440? 1440 Calculate the lowest common multiple of 1 and 812. 812 Calculate the least common multiple of 162 and 90. 810 Find the common denominator of 7/18 and 3/11. 198 Calculate the common denominator of -125/36 and 55/453. 5436 Calculate the lowest common multiple of 1014 and 52. 2028 Find the common denominator of -32/261 and 46/261. 261 What is the common denominator of -137/156 and -89/195? 780 Find the common denominator of 137/648 and -5/972. 1944 What is the common denominator of 79/270 and 7/1080? 1080 Calculate the least common multiple of 114 and 4. 228 Calculate the smallest common multiple of 4 and 12. 12 Calculate the least common multiple of 18 and 216. 216 Calculate the common denominator of 35/44 and -37/84. 924 What is the common denominator of -50/343 and -27/98? 686 What is the lowest common multiple of 2 and 32? 32 Find the common denominator of -133/3708 and 13/96. 29664 Calculate the least common multiple of 33 and 8661. 95271 What is the smallest common multiple of 41 and 7? 287 Find the common denominator of -83/12 and -49/47562. 95124 Find the common denominator of 83/420 and 121/294. 2940 Find the common denominator of -77/540 and 21/20. 540 What is the lowest common multiple of 70 and 42? 210 Find the common denominator of 43/21 and -2/33. 231 What is the least common multiple of 1230 and 3936? 19680 Calculate the lowest common multiple of 36 and 21. 252 What is the smallest common multiple of 6 and 738? 738 Calculate the lowest common multiple of 1360 and 16. 1360 What is the common denominator of 99/136 and -57/64? 1088 What is the lowest common multiple of 21 and 29? 609 What is the least common multiple of 11 and 209? 209 Calculate the least common multiple of 76 and 24. 456 Calculate the common denominator of -44/2231 and -41/2. 4462 Calculate the least common multiple of 18 and 13756. 123804 What is the smallest common multiple o
{ "pile_set_name": "DM Mathematics" }
8. What are the prime factors of 271/7 + (-26)/p? 3, 13 Let t(b) = -16*b**3 + 3*b**2 + 4*b + 5. Let n be t(-2). Suppose -n = -5*q - 7. What are the prime factors of q? 2, 13 Let q(b) = 2*b + 7. Let l be q(-7). Let m = 7 + l. Suppose 0 = -3*f + 12 - m. List the prime factors of f. 2 Let o = 6232 - 4144. Suppose 2225 = 19*s - o. List the prime factors of s. 227 Suppose 0 = c + 3*u - 1474, 5*c - 4*u = -2*u + 7285. List the prime factors of c. 1459 Let q(j) = 3*j**2 - 6*j - 9. Let i be q(7). Suppose i = s + s. What are the prime factors of s? 2, 3 Let y(h) = 87*h + 5. Let d(j) = -87*j - 4. Let c(n) = -6*d(n) - 5*y(n). What are the prime factors of c(1)? 2, 43 Let m(r) = -r**3 - 19*r**2 + 12*r - 29. What are the prime factors of m(-20)? 131 Let j(h) = h**3 + 9*h**2 + 3*h + 4. Suppose 2*m = -8 - 0. What are the prime factors of j(m)? 2, 3 Let c(i) = 389*i + 2. Let j = 35 - 33. Let d be c(j). What are the prime factors of d/14 - (-18)/63? 2, 7 Let c be 21/(-27) - (-2)/(-9). Let a be 3/(-6)*c*2. List the prime factors of 3 + (6 - -1 - a). 3 Suppose -2*f - 852 = -6*f - 5*a, -f = -3*a - 230. What are the prime factors of f? 2, 109 Suppose v - 3*d = -44, -d + 89 = -3*v - 3. Suppose 5*s + 168 = 9*s. Let z = v + s. What are the prime factors of z? 13 List the prime factors of (265 - 35)*(-7)/(-2). 5, 7, 23 Suppose 0 = 3*m + 4*i - 138, 0 = -2*m - 2*i + 70 + 24. Let t = -20 + m. What are the prime factors of ((-560)/t)/(1/(-3))? 2, 7 Let l(z) = -z**3 + 2*z**2 - 2*z + 7. Let b be l(3). Let j(a) = -a**3 - 6*a**2 - 7*a + 21. What are the prime factors of j(b)? 5, 41 Suppose -24 - 1 = a. Let o = 42 - a. List the prime factors of o. 67 Let q(a) be the first derivative of a**2/2 + a + 8. Let n be q(-15). Let z = 33 + n. What are the prime factors of z? 19 Let z(l) = 130*l + 99. What are the prime factors of z(8)? 17, 67 Let x = -2135 - -2320. What are the prime factors of x? 5, 37 Let a = -14 - -16. Suppose 6*m - b = 2*m + 227, -4*b = a*m - 100. Suppose 0 = -3*x - x + m. What are the prime factors of x? 2, 7 List the prime factors of (-42 - -71)/((-2)/(-360)). 2, 3, 5, 29 List the prime factors of 0 - -2 - (2 - 1994). 2, 997 Let r be (-4 + 1)/(-4 + (-4 - -5)). List the prime factors of (-36)/((r - 2/(-6))/(-2)). 2, 3 Suppose -d - s - 19 = -73, 0 = 5*d - 5*s - 270. Let n = d + -25. List the prime factors of n. 29 Let o(l) = -l**3 + 3*l**2 + 3*l + 3. Let z be o(-2). Let b be 3/(-9)*0 + z. Suppose 0 = -4*s - 5*w + b - 1, 0 = 4*s - 5*w - 16. List the prime factors of s. 2 Let l be 9/1*-1*-1. Let m(g) = g**2 - 8*g - 9. Let s be m(l). Suppose 0 = -n + c - 0*c + 3, s = 5*n + 2*c - 15. List the prime factors of n. 3 List the prime factors of 12418/(-4)*120/(-210). 2, 887 Let d be ((-272)/20)/((-2)/5). Let o = -20 + d. What are the prime factors of o? 2, 7 Suppose 0 = 4*w - v - 17, 4*w + 3*v = -2*v + 11. Suppose 5*u = 19 - 9. Suppose -u*o + w*b = -50, o - 2*b + 5*b = 5. What are the prime factors of o? 17 Let n = 100 - 94. Suppose 958 - 2590 = -n*m. What are the prime factors of m? 2, 17 Let k = 818 + -810. Let a be 1/3 - 95/(-3). Let m = k + a. What are the prime factors of m? 2, 5 Suppose -3481 = -i + 4*o + 644, 0 = 2*i - 2*o - 8262. List the prime factors of i. 4133 Let h = 21 - 19. Suppose 0 = -n - h*n + 282. Let a = n - 47. List the prime factors of a. 47 Let s(h) = -h**3 + 17*h**2 - 12*h - 61. Let x be s(16). Suppose -3*v - 5*y + 173 = 0, 3*v + 6*y - x*y - 177 = 0. List the prime factors of v. 61 Let q(y) = -2*y**2 + 16*y - 9. Let b be q(7). Suppose 3*h = -h - b*j + 425, 2*j - 212 = -2*h. Suppose -14*k + 9*k + h = 0. List the prime factors of k. 3, 7 Let x = 1740 - 1460. What are the prime factors of x? 2, 5, 7 Let d(z) = -z - 10. Let v be d(-6). Let q be (-392)/(-32) + (-3)/v. Let k = 28 - q. What are the prime factors of k? 3, 5 Let h(k) = k**3 - k**2 - 26. Let b be h(0). Let g = b - -98. What are the prime factors of g? 2, 3 Let q(c) = 5*c**2 - 13*c - 44. What are the prime factors of q(18)? 2, 11, 61 Suppose -4145 = 24*c - 29*c. List the prime factors of c. 829 Let r be (1/2)/(5/20). Let b(p) = -6 - 1 - r + 4*p + p. List the prime factors of b(7). 2, 13 Let s be (-4)/14 - 44/(-7). Let x be 6/(-8)*(-24)/s. Let u = x - -4. What are the prime factors of u? 7 What are the prime factors of (-308)/((20/65)/(-2))? 2, 7, 11, 13 Let g be (-4)/10 + 51/15. Suppose -2*m - g*c + 189 = m, 3*c + 219 = 3*m. What are the prime factors of m? 2, 17 What are the prime factors of (-28)/((-42)/(-357) + (-3)/17)? 2, 7, 17 Suppose -2*t + 42 = -16. Suppose t = -4*a + 61. What are the prime factors of a? 2 Let j = -9 - -10. Let x(f) = 118*f - 2. List the prime factors of x(j). 2, 29 Suppose -6 - 9 = -5*o - 2*s, 12 = 4*o - s. Suppose 17 + 13 = o*a. Suppose -j = -8 - a. List the prime factors of j. 2, 3 Let s = -16 + 26. Let n = -8 + s. Suppose -n*c = -0*c - 56. What are the prime factors of c? 2, 7 Let r(u) = -u**3 - 16*u**2 - 24*u + 58. What are the prime factors of r(-18)? 2, 569 Suppose 5*h + 17*h - 792 = 0. List the prime factors of h. 2, 3 Suppose f + 5*m - 12 = 0, -4*f - 7 = 3*m + 13. Let q(p) = p**2 + 5*p + 12. Let a be q(f). Let o = -3 + a. List the prime factors of o. 3, 11 Suppose 61*r = -4*n + 66*r + 10406, 0 = 2*n - 2*r - 5202. List the prime factors of n. 23, 113 Let u(f) = 240*f + 13. Let k be u(2). Suppose -3*g - 5*m + k = 0, 755 = 4*g + g - 5*m. What are the prime factors of g? 2, 3, 13 Suppose 0 = -11*d + 2354 + 341. List the prime factors of d. 5, 7 Suppose 4 = 3*s - 5. Suppose -s = -6*v + 189. What are the prime factors of v? 2 Let f(s) = -s - 8. Let q be f(-8). Suppose -3*y + y + 80 = q. What are the prime factors of (y/(-12))/((-2)/3)? 5 Let h = 11 - 14. Let r = h - -188. List the prime factors of r. 5, 37 Suppose -5*c + 24 = 9. List the prime factors of -39*(-2)/c - -4. 2, 3, 5 Let k = -263 - -350. What are the prime factors of k? 3, 29 Let n = 1647 - 1479. What are the prime factors of n? 2, 3, 7 Suppose 2*h = -5*y - 8 + 3, -y + h - 8 = 0. Let w be 4/y*4680/(-3). What are the prime factors of (-3)/(-7) + w/112? 19 Let h be (-3)/((-9)/6)*-8. Let r(l) be the first derivative of -l**3/3 - 15*l**2/2 + 21*l - 1. What are the prime factors of r(h)? 5 Let u = -152 - -379. What are the prime factors of u? 227 Let o = 47 - 59. Let m(x) = -x**3 + 6*x**2 - 1. Let r be m(6). Let h = r - o. What are the prime factors of h? 11 List the prime factors of 21714/26 + (-2)/13. 5, 167 Let z(r) = -r**3 - 2*r**2 + 7. Let h be z(0). List the prime factors of (h/(35/(-110)))/((-2)/7). 7, 11 Suppose 3*t = 1 + 14, 0 = y + t - 104. What are the prime factors of y? 3, 11 Let o(r) = r**3 + 19*r**2 + 13*r + 28. What are the prime factors of o(-9)? 7, 103 Suppose 45*w + w - 79304 = 0. List the prime factors of w. 2, 431 Suppose -q - 60 = -16. Let a = 239 + q. Suppose 0*v + 148 = 4*v + 4*d, 5*d + a = 5*v. What are the prime factors of v? 2, 19 Let b(x) = x**3 - 4*x**2 - 4*x - 10. What are the prime factors of b(9)? 359 Suppose 2 = 2*n - t - 0, 0 = -5*n - 2*t - 4. Suppose -4*u - 4*d + 23 + 585 = n, 0 = 3*u - d - 460. List the prime factors of u. 3, 17 Let b(i) be the first derivative of -3 + 17/2*i**2 + i. What are the prime factors of b(1)? 2, 3 List the prime factors of (-1500)/((-100)/(-60)*4/(-10)). 2, 3, 5 Suppose 5*g - 47 = 278. Let b = 105 - g. What are the prime factors of b? 2, 5 Let x(y) = -y**2 - 7*y + 46. Let o be x(-11). Suppose -3*t + o*p + 295 = 0, p + 494 = 5*t - 0*t. List the prime factors of t. 3, 11 Let k(f) = 19*f + 2. Let z be k(3). Let c = z - 39. What are the prime factors of c? 2, 5 Let t(o) = -o - 1. Let r be t(-1). Let i be 50/(-4)*32/40. List the prime factors of (r + 74)*(-5)/i. 37 Let h(s) = 18*s + 1. Let p be h(-2). Let f = p - -165. What are the prime factors of f? 2, 5, 13 Let u = 487 + -231. List the prime factors of u. 2 Let k(l) = -l**3 + 13*l**2 - 2*l. Let r be k(10). Suppose -2*d + r = 2*d. What are the prime factors of d? 2, 5, 7 List the prime factors of 1/(-6 - 290691/(-48447)). 7, 769 Let f(z) = z**3 + 5*z**2 - 9*z - 18. Let m be f(-6). List the prime factors of (-2 - m)*429/(-6). 11, 13 Let s be 2/1*(-4)/((-24)/15). Let n(c) = c**2 + 1. What are the prime factors of n(s)? 2, 13 What are the prime factors of (-533)/(-2) - 9/(-18)? 3, 89 Let w(p) be the t
{ "pile_set_name": "DM Mathematics" }
the i'th term of 67, 66, 65? -i + 68 What is the f'th term of -212, -181, -150, -119, -88, -57? 31*f - 243 What is the d'th term of -13, -15, -17, -19? -2*d - 11 What is the a'th term of -88, -70, -40, 8, 80, 182, 320? a**3 + 11*a - 100 What is the f'th term of -113, -223, -333, -443? -110*f - 3 What is the f'th term of 18, 39, 60? 21*f - 3 What is the k'th term of 92, 189, 288, 389? k**2 + 94*k - 3 What is the r'th term of 113, 115, 117, 119, 121? 2*r + 111 What is the z'th term of 81, -37, -233, -507? -39*z**2 - z + 121 What is the x'th term of -130, -244, -358? -114*x - 16 What is the b'th term of 4580, 4581, 4582, 4583, 4584? b + 4579 What is the s'th term of 24, 64, 138, 264, 460, 744, 1134, 1648? 3*s**3 - s**2 + 22*s What is the z'th term of 288, 573, 854, 1131, 1404? -2*z**2 + 291*z - 1 What is the v'th term of -12, -30, -50, -66, -72? v**3 - 7*v**2 - 4*v - 2 What is the w'th term of -74, -46, -18, 10, 38? 28*w - 102 What is the k'th term of 151, 298, 445? 147*k + 4 What is the q'th term of 115, 467, 1053, 1873, 2927, 4215, 5737? 117*q**2 + q - 3 What is the q'th term of -1262, -2515, -3768, -5021, -6274? -1253*q - 9 What is the u'th term of 8, 22, 40, 62? 2*u**2 + 8*u - 2 What is the v'th term of -554, -1102, -1638, -2156, -2650, -3114, -3542, -3928? v**3 - 555*v What is the v'th term of -43, -54, -71, -94, -123, -158? -3*v**2 - 2*v - 38 What is the n'th term of 13, 71, 215, 487, 929, 1583? 7*n**3 + n**2 + 6*n - 1 What is the h'th term of 220, 343, 466, 589, 712, 835? 123*h + 97 What is the x'th term of -7, 17, 49, 89, 137, 193? 4*x**2 + 12*x - 23 What is the v'th term of 8, -9, -26, -43, -60? -17*v + 25 What is the o'th term of -9, -35, -75, -129? -7*o**2 - 5*o + 3 What is the t'th term of -1144, -1145, -1146, -1147, -1148, -1149? -t - 1143 What is the b'th term of 519, 1067, 1615, 2163, 2711? 548*b - 29 What is the u'th term of -23, -42, -61, -80? -19*u - 4 What is the p'th term of 38, 84, 132, 182, 234, 288, 344? p**2 + 43*p - 6 What is the h'th term of -15, -27, -41, -57, -75, -95? -h**2 - 9*h - 5 What is the b'th term of -13, -49, -93, -133, -157, -153, -109, -13? 2*b**3 - 16*b**2 - 2*b + 3 What is the d'th term of -1, -4, -7? -3*d + 2 What is the j'th term of -25824, -25827, -25832, -25839? -j**2 - 25823 What is the x'th term of 27, 92, 191, 318, 467, 632, 807, 986? -x**3 + 23*x**2 + 3*x + 2 What is the u'th term of 25, 189, 639, 1519, 2973, 5145, 8179? 24*u**3 - u**2 - u + 3 What is the z'th term of -530, -1061, -1592, -2123, -2654, -3185? -531*z + 1 What is the t'th term of -32, -52, -116, -248, -472, -812, -1292? -4*t**3 + 2*t**2 + 2*t - 32 What is the u'th term of 359, 723, 1087? 364*u - 5 What is the d'th term of 215, 423, 627, 827, 1023? -2*d**2 + 214*d + 3 What is the z'th term of -595, -605, -621, -643, -671? -3*z**2 - z - 591 What is the x'th term of 17, 43, 107, 227, 421, 707? 3*x**3 + x**2 + 2*x + 11 What is the o'th term of -11, -36, -65, -98, -135? -2*o**2 - 19*o + 10 What is the j'th term of 13989, 13990, 13991? j + 13988 What is the h'th term of 2, 36, 82, 140, 210, 292, 386? 6*h**2 + 16*h - 20 What is the i'th term of -19, -163, -405, -745, -1183, -1719? -49*i**2 + 3*i + 27 What is the h'th term of -13, -11, 1, 29, 79, 157? h**3 - h**2 - 2*h - 11 What is the t'th term of -7593, -7587, -7577, -7563, -7545, -7523? 2*t**2 - 7595 What is the r'th term of -20, -41, -62, -83, -104? -21*r + 1 What is the n'th term of -462, -463, -464, -465, -466? -n - 461 What is the n'th term of -1327, -1342, -1373, -1426, -1507, -1622? -n**3 - 2*n**2 - 2*n - 1322 What is the o'th term of -2568, -5134, -7700, -10266, -12832? -2566*o - 2 What is the o'th term of -4, 1, 20, 59, 124, 221? o**3 + o**2 - 5*o - 1 What is the l'th term of -95, -90, -85, -80, -75? 5*l - 100 What is the x'th term of 119, 117, 115, 113, 111, 109? -2*x + 121 What is the b'th term of -181, -182, -183, -184, -185? -b - 180 What is the g'th term of 1032, 1042, 1066, 1110, 1180, 1282, 1422? g**3 + g**2 + 1030 What is the s'th term of 17, 16, -7, -64, -167, -328? -2*s**3 + s**2 + 10*s + 8 What is the l'th term of 103, 104, 113, 136, 179, 248? l**3 - 2*l**2 + 104 What is the d'th term of 224, 227, 230, 233? 3*d + 221 What is the r'th term of 207, 185, 151, 105, 47, -23, -105? -6*r**2 - 4*r + 217 What is the u'th term of 12, 24, 20, -6, -60? -u**3 - 2*u**2 + 25*u - 10 What is the i'th term of -277, -590, -903? -313*i + 36 What is the m'th term of 4, 58, 156, 304, 508? m**3 + 16*m**2 - m - 12 What is the y'th term of -814, -1609, -2402, -3193, -3982, -4769? y**2 - 798*y - 17 What is the o'th term of 886, 1767, 2646, 3523? -o**2 + 884*o + 3 What is the v'th term of -3, -22, -57, -108? -8*v**2 + 5*v What is the q'th term of -501, -496, -479, -444, -385, -296? q**3 - 2*q - 500 What is the i'th term of -60, -54, -44, -30, -12, 10, 36? 2*i**2 - 62 What is the y'th term of 22, 39, 60, 91, 138, 207? y**3 - 4*y**2 + 22*y + 3 What is the m'th term of -4118, -4116, -4112, -4106, -4098, -4088, -4076? m**2 - m - 4118 What is the i'th term of -109, -117, -115, -97, -57? i**3 - i**2 - 12*i - 97 What is the x'th term of -42, -175, -392, -693, -1078, -1547, -2100? -42*x**2 - 7*x + 7 What is the a'th term of -16, -24, -22, 2, 60, 164? 2*a**3 - 7*a**2 - a - 10 What is the m'th term of 1289, 1282, 1273, 1262? -m**2 - 4*m + 1294 What is the t'th term of 39, 46, 81, 162, 307, 534, 861, 1306? 3*t**3 - 4*t**2 - 2*t + 42 What is the d'th term of -22, -39, -34, 5, 90, 233, 446? 2*d**3 - d**2 - 28*d + 5 What is the q'th term of 21, 35, 31, -3, -79, -209, -405, -679? -2*q**3 + 3*q**2 + 19*q + 1 What is the z'th term of 147, 138, 115, 72, 3, -98, -237, -420? -z**3 - z**2 + z + 148 What is the a'th term of -685, -688, -691, -694, -697, -700? -3*a - 682 What is the r'th term of 48, 63, 80, 99, 120? r**2 + 12*r + 35 What is the t'th term of 535, 1066, 1599, 2134, 2671? t**2 + 528*t + 6 What is the z'th term of 21, -5, -45, -99, -167? -7*z**2 - 5*z + 33 What is the d'th term of 1, 12, 19, 22, 21? -2*d**2 + 17*d - 14 What is the u'th term of 29, 73, 129, 197, 277? 6*u**2 + 26*u - 3 What is the q'th term of 47, 46, 43, 38, 31, 22? -q**2 + 2*q + 46 What is the h'th term of -832, -1664, -2496, -3328, -4160, -4992? -832*h What is the a'th term of 106, 90, 70, 52, 42, 46, 70, 120? a**3 - 8*a**2 + a + 112 What is the m'th term of 15, 9, 1, -9, -21, -35? -m**2 - 3*m + 19 What is the w'th term of -9406, -9408, -9410, -9412, -9414? -2*w - 9404 What is the v'th term of 49, 94, 143, 196? 2*v**2 + 39*v + 8 What is the q'th term of 84, 57, 12, -57, -156? -q**3 - 3*q**2 - 11*q + 99 What is the i'th term of -1172, -2333, -3494, -4655? -1161*i - 11 What is the w'th term of -105, -125, -145? -20*w - 85 What is the p'th term of -2, -48, -136, -266, -438? -21*p**2 + 17*p + 2 What is the l'th term of 231, 449, 667, 885, 1103, 1321? 218*l + 13 What is the g'th term of 2276, 4552, 6828? 2276*g What is the q'th term of -4556, -4558, -4560, -4562, -4564, -4566? -2*q - 4554 What is the z'th term of -18, -41, -90, -177, -314, -513, -786? -2*z**3 - z**2 - 6*z - 9 What is the u'th term of 3, -19, -75, -183, -361, -627, -999, -1495? -3*u**3 + u**2 - 4*u + 9 What is the u'th term of -2588, -5160, -7730, -10298, -12864? u**2 - 2575*u - 14 What is the p'th term of 408, 389, 366, 339, 308? -2*p**2 - 13*p + 423 What is the d'th term of -530, -2115, -4756, -8453, -13206, -19015? -528*d**2 - d - 1 What is the t'th term of 70, 78, 98, 130? 6*t**2 - 10*t + 74 What is the y'th term of 39, 43, 55, 81, 127, 199, 303? y**3 - 2*y**2 + 3*y + 37 What is the w'th term of -655, -678, -717, -772, -843, -930, -1033? -8*w**2 + w - 648 What is the z'th term of -75, -214, -451, -792, -1243, -1810, -2499, -3316? -z**3 - 43*z**2 - 3*z - 28 What is the y'th term of -275, -551, -827, -1103, -1379? -276*y + 1 What is the r'th term of 31, 60, 87, 112, 135, 156, 175? -r**2 + 32*r What is the b'th term of 42, 104, 188, 300, 446, 632, 864? b**3 + 5*b**2 + 40*b - 4 What is the g'th term of 1991, 1990, 1987, 1982? -g**2 + 2*g + 1990 What is the f'th term of -33, -44, -61, -84? -3*f**2 - 2*f - 28 What is the x'th term of 1, -58, -119, -182, -247? -x**2 - 56*x + 58 What is the o'th term of 882, 886, 892, 900, 910, 922, 936? o**2 + o + 880 What is the a'th term of
{ "pile_set_name": "DM Mathematics" }
- 9. Let d be o(9). Which is smaller: d or -2/3? -2/3 Suppose -7*u - 70 = -2*u. Let i = u - -21. Suppose -3*o - i = 4*z - 0*z, 0 = -z + o. Is z less than -1? False Let i be (4/2430 + 0)*-5. Let o = 721/972 - i. Let h = -2 - -3. Which is smaller: o or h? o Let m(o) = -62*o**2 + 2*o. Let a be m(1). Let n be 44/a - 2/(-5). Is n != 18? True Let h(m) = m**3 + m**2 + 4. Let s be h(0). Is s != 16/3? True Let d = -12 - -4. Let z be (d/3)/(10/(-15)). Suppose 2*k - k - 4 = 0. Is k greater than z? False Let y be 2 + ((-15)/5 - -8). Is 3 greater than y? False Let l be ((-3)/42*-8)/(-2). Is l less than 0.22? True Let y(f) = f**2 + 0 + 2 + 4 + 8*f + 0. Let j be y(-6). Let k(n) = -n**2 - 7*n + 2. Let m be k(-8). Is m < j? False Let k = 354739/18 - 19713. Let f = k - -16/3. Which is smaller: f or 1? f Let g(x) = -x**2 + 8*x - 12. Let p be g(5). Which is bigger: 6 or p? 6 Let h be 28*(3 - 14/4). Let m be 4/h + (-15)/21. Is -1 smaller than m? False Let c(y) = y**3 - y. Let j be c(-1). Let r = 0 - 2. Is j greater than r? True Let x(v) = -v + 7. Let p be x(4). Let h = 4 + 6. Suppose -2*s + 9 = 5*n - h, -4*s + 11 = n. Do n and p have the same value? True Let s be 0*((-2)/(-28) - 9/(-21)). Is s at least 33/5? False Let u be (-8)/(-4) - 1*4. Let d be (u/4)/((-10)/20). Are d and -1.4 unequal? True Let x(v) = 7*v - 1. Let y(c) = 11*c - 1. Let s(k) = -8*x(k) + 5*y(k). Suppose 0*i - 15 = -5*i. Let f be s(i). Is f < 1/3? True Let z = 6.03 - 6. Let v = z + 0.07. Is -2 greater than or equal to v? False Let r(z) = 5*z**2 - 25*z + 15. Let t(j) = -j**2 + 6*j - 4. Let q(a) = 2*r(a) + 9*t(a). Let c be q(-5). Let m be (-1)/(c/(-1)*-1). Which is bigger: 3 or m? 3 Let q = -1/149 - 295/447. Let z = -1 - -1.4. Let l = z - 2.4. Is l smaller than q? True Let i = -0.84 + 1. Let q = i + -0.06. Let h = 0.4 - 0.9. Is h < q? True Suppose -b + 11 = 5*p - 10, -3*p + 8 = -4*b. Is p smaller than 4? False Let c = -0.33 - -0.83. Is c <= -1.6? False Suppose 4*s = 2*s - 5*b + 42, 0 = -2*s + 3*b + 74. Is 30 at least s? False Let m be (-3 + 0)/(15/20). Let x be ((-3)/2)/((-3)/m). Let d be (-6)/(-21) + 2 + x. Is 1/4 > d? False Suppose -5*m - 5 = -3*n - 31, -5*n = 3*m - 2. Let q = 4 + -1. Suppose 0 = q*r - p + 2, 5*r = 3*p + 2*p. Which is smaller: r or n? n Let q = -18 - -19. Which is smaller: 3 or q? q Suppose 23*f = 16*f + 7. Which is smaller: -2/73 or f? -2/73 Let u(h) = -h**2 + 3*h + 2. Let y be u(3). Let r be -3 + (-1 - y) + 3. Let z be (-4 - 2)/2 - r. Which is smaller: 2/13 or z? z Let u be -3 - -1 - (-31 + 2). Let y = u - 51/2. Which is greater: 1 or y? y Suppose 5*m = -4*z - 8, -z = 3*m - 5*m + 2. Which is smaller: m or 2/107? m Suppose 5*p - 15 = -0*p. Let d(u) = u**2 - 2*u + 1. Let i be d(p). Which is bigger: 3 or i? i Let w be 4/(8/(-3)) - 50/4. Is w less than or equal to -41/3? True Let r(q) = q**2 + 10*q + 5. Let l be r(-7). Is l > 1/2? False Let c(z) = z**2 - 5*z + 5. Let t be c(4). Is 8 > t? True Let q = 1.98 - -0.02. Let o = q + -1. Let c = -1.8 + 2. Which is greater: o or c? o Suppose 5*d - 20 = 5*y, 2*d = -2*d - 5*y + 16. Is d smaller than 25/6? True Let g = 3 + -1. Suppose -5*k = -g*k. Let j be (k - -2)/(36/(-6)). Which is smaller: 1 or j? j Let n(i) = i - i + 4 + 2*i. Suppose -3*r = 3*z + 6, -4*r + 10 = z - 3*z. Let u be n(z). Is u smaller than -1/2? True Let v = 0.067 - -25.933. Which is greater: -1 or v? v Let h(l) = -l**2 - 9*l + 21. Let a be h(-9). Is 20 != a? True Let f be 41/(-13) - (-4)/26. Let i be 2 - (f - (-48)/9). Is -1 less than or equal to i? True Let r be 4/10 - (-18)/30. Suppose -5*k - r - 16 = -3*a, 5*k + 4*a = 11. Is 1/3 >= k? True Let q be 6/(-10)*(-1)/(-9). Is 1 less than q? False Suppose 4*l - 16 = 2*u, -2 = -4*u - 10. Suppose -j = l*j. Let v(n) = -n + 3. Let c be v(3). Do j and c have the same value? True Let j = -17 + 50/3. Is j <= 5/4? True Suppose 4*f + 75 = -5*r - 0*f, -5*f = 4*r + 51. Is -19 != r? False Let l(o) = -o + 4. Let p be l(3). Let m = -3 - -5. Let t = -1.8 + m. Is p at most t? False Let s be (-36)/8*4/6. Is -19/5 not equal to s? True Suppose 4*d - 16 = 4*s, 3*d - d + 5*s = -27. Which is greater: d or -2? d Let a = -3/5 + 11/10. Is a greater than -2/27? True Let j = -8 - -10. Let y = 2648/3 + -900. Let w = 17 + y. Which is greater: w or j? j Let x = 0.08 - 0.1. Let d = 0.106 - 4.126. Let v = x - d. Is 1/3 bigger than v? False Suppose -3*c - m = 46, -4*c + 9*c + 4*m = -79. Let g be (c/(-6))/((-2)/4). Let y = g - -1. Is y greater than or equal to -5? True Let a = 0.4 - 0.5. Which is bigger: a or 10/9? 10/9 Let x be (0 + -6)/(30/(-201)). Let n = -40 + x. Which is smaller: 0 or n? 0 Let v = 1.9 + -3.2. Let i = 0.3 + v. Let h be 4/(-6) - (-4)/6. Which is bigger: i or h? h Let x = -0.654 - -3.784. Let w = x + -0.13. Let n = 0.3 - 1.3. Which is smaller: n or w? n Let g = 1097/3 + -303. Let t = g - 64. Is -2 <= t? True Let a = -1307/7 + 187. Which is bigger: 0.1 or a? a Let j(v) = -v**2 - v + 22. Let a be j(0). Which is smaller: 23 or a? a Suppose 4*m - 2*q = -18, 3 = -3*m - 4*q - 5. Let d(k) = -k**3 - 4*k**2 - 1. Let c be d(m). Is c at least -4? True Let p = -152 + 72. Is p less than or equal to -80? True Let c = 34 - 49. Is -2/7 >= c? True Suppose -2 = -2*o - 6. Let t = o - 8. Let i = -5 - t. Are i and 5 unequal? False Suppose 0 = -2*d + 3*p + 11, -4*d + p = -3*p - 20. Suppose 2*a - 7*b = -d*b + 10, 3*b = -12. Is 1/19 less than or equal to a? False Let x(k) = k**2 + 9*k + 5. Let h be x(-8). Suppose 3*z = 0, z - 1 = 3*n + 8. Is n at most h? True Suppose -1 = -2*c + 1. Which is bigger: 2/9 or c? c Let p be 2*(-5)/(30/(-9)). Suppose -2*f = k - 5*f - p, -2*f = 5*k - 15. Which is greater: 4 or k? 4 Let o = 1.5 - 1.5. Which is smaller: o or -2/5? -2/5 Let d be 56/420*(-2)/82*-10. Do 1 and d have the same value? False Let a be 10/45 + (-16)/(-9). Suppose -2 = c + a. Is -1 equal to c? False Let n(s) = -s**3 - 16*s**2 + 17*s - 11. Let j(k) = -4*k + 3. Let v be j(5). Let i be n(v). Are i and -1 nonequal? True Let d be 14/(-3)*(-9)/(-57). Let b = -65/114 - d. Suppose 4*x - 3*x = 0. Is x > b? False Let a = 4 - 4. Suppose 5*u - 4*g - 11 = a, 0*u + 10 = -2*u - 2*g. Is 1/4 <= u? False Let u = 15648/25 - 626. Which is smaller: u or -2? -2 Let o(z) = -2*z - 2. Let k be o(-4). Let b = k - 14. Which is greater: -9 or b? b Let u = -4 + 7. Suppose 5*b + 0*b + u*d = -3, 0 = -2*b - 3*d - 3. Let y(l) = -l**3 + 3*l**2 - 4*l + 3. Let i be y(2). Which is greater: i or b? b Let g be (0 - 1)/(2/(-18)). Which is greater: 31/3 or g? 31/3 Suppose 4*z + 7 = 5*a, a - 6 = -z - 1. Suppose 0 = -r + a*r. Which is greater: -4/13 or r? r Suppose 3*j = 7*j. Let x be (-3)/(3 + j)*-1. Which is greater: x or 3/2? 3/2 Let m = -70.13 - -70. Which is smaller: m or -3? -3 Let b be 2 - (3/15 + 1). Let k = 7 - 3. Suppose o - k = -2. Which is smaller: o or b? b Let n = -3 + 4. Which is smaller: n or 5/3? n Let o be (-1)/6 - (-11)/(-22). Is -20 > o? False Let j = -7355/966 - -107/14. Is -1 > j? False Let m(v) = -2*v**3 + 1. Let r be m(-1). Let z be 5 - r - (2 + 1). Is z at least 2/7? False Let w = -0.3 - -0.1. Let i = -2266/9 - -252. Which is bigger: w or i? i Let g = -7 + 8. Is -3/7 greater than or equal to g? False Let y = -0.04 - 0.04. Let m = y + 0.05. Let h = m + 0.03. Is -0.6 not equal to h? True Suppose -g = 2*k - 69, k + k = -2*g + 132. Let i be g/98*4/3. Are 1 and i equal? False Let f = -586 - -4110/7. Is f less than or equal to 0? False Suppose 0 = -0*x + 3*x - 4*x. Is x at most as big as -4/13? False Let r = -526/399 + -2/133. Let m(q) = -q. Let t be m(-2). Let s = -2 + t. Which is smaller: s or r? r Let z = 0 - 0.3. Let t = 0.2 + -0.3. Which is greater: t or z? t Suppose -1 = -2*u + 1. Let y be 4/(-16) - (u + -1). Which is smaller: y or 3? y Suppose -2*o + 12 = -2*n + 2*o, -5*n = -5*o + 30. Let g = n + -5. Is g greater than or equal to 1? False Suppose -14*g = -12*g - 2. Which is greater: 7/16 or g? g Let v(x) = 2*x**3 + 0*x**3 + 2*x**3 - 2*x**2 + 8*x. Let a(j) = 3*j**3 - 2*j**2 + 7*j. Let r(f) = 5*a(f) - 4*v(f). Let k be r(-3). Is -1 at least k? False Suppose x - 3*x - 2*n = -4, -5*n + 7 = 2*x. Let d be (-9)/3 + (0 - -1). Let g be (-25)/(-30)*d/5. Which is smaller: g or x? g Let q(x) = x**2 - 21*x + 5. Let o be q(15). Is o smaller than -85? False Let g be 2/(-4)*(6 + -6). Which is smal
{ "pile_set_name": "DM Mathematics" }
n. 120/323 Two letters picked without replacement from {j: 3, x: 2, u: 10}. What is prob of picking 1 j and 1 x? 2/35 Two letters picked without replacement from {f: 7, b: 2}. Give prob of picking 1 f and 1 b. 7/18 Calculate prob of picking 2 s, 1 l, and 1 w when four letters picked without replacement from swwslws. 9/35 Calculate prob of picking 2 b and 1 p when three letters picked without replacement from bpppbpbpppypppbbby. 25/136 Three letters picked without replacement from wgddd. Give prob of picking 2 d and 1 w. 3/10 Calculate prob of picking 3 w and 1 a when four letters picked without replacement from {a: 3, v: 4, c: 5, w: 4}. 3/455 Calculate prob of picking 1 z and 1 c when two letters picked without replacement from xmmxmczim. 1/36 Four letters picked without replacement from {e: 7, v: 2, r: 5}. What is prob of picking 1 e and 3 r? 10/143 What is prob of picking 1 k, 1 h, and 1 v when three letters picked without replacement from {s: 5, e: 5, v: 4, h: 5, k: 1}? 1/57 What is prob of picking 1 t, 1 b, and 2 k when four letters picked without replacement from {b: 2, i: 1, t: 3, k: 5, g: 1, q: 1}? 12/143 Four letters picked without replacement from iiiiiyiiiyyiyi. What is prob of picking 4 y? 1/1001 What is prob of picking 1 g and 2 y when three letters picked without replacement from {k: 5, e: 4, g: 4, y: 3, q: 3}? 4/323 Four letters picked without replacement from {d: 2, x: 4, n: 1}. What is prob of picking 1 n and 3 x? 4/35 Three letters picked without replacement from {s: 2, w: 5, c: 1, j: 5, m: 1, r: 6}. Give prob of picking 1 m, 1 w, and 1 r. 1/38 Four letters picked without replacement from {l: 1, u: 4, i: 1, o: 1, s: 2}. Give prob of picking 1 i, 1 u, and 2 s. 2/63 Three letters picked without replacement from {a: 2, j: 3, n: 1, k: 2, d: 2, s: 4}. What is prob of picking 1 k and 2 d? 1/182 Three letters picked without replacement from tttttmttttttttt. What is prob of picking 3 t? 4/5 What is prob of picking 1 x and 1 i when two letters picked without replacement from qaxxaaxhalli? 1/22 What is prob of picking 1 a and 1 t when two letters picked without replacement from {a: 2, r: 1, t: 1, i: 1}? 1/5 Two letters picked without replacement from {v: 5, a: 2}. What is prob of picking 2 a? 1/21 Two letters picked without replacement from ccaaaacccecaaaeachcc. What is prob of picking 2 e? 1/190 Calculate prob of picking 2 f when two letters picked without replacement from ntffifnnfgft. 5/33 Four letters picked without replacement from {f: 3, k: 12}. What is prob of picking 2 k and 2 f? 66/455 What is prob of picking 2 g when two letters picked without replacement from cgggcgc? 2/7 What is prob of picking 1 o and 1 a when two letters picked without replacement from {m: 1, o: 1, a: 1, u: 3, t: 1}? 1/21 Calculate prob of picking 1 l and 1 o when two letters picked without replacement from toottfltto. 1/15 Two letters picked without replacement from sxzozlol. What is prob of picking 2 z? 1/28 Calculate prob of picking 2 u when two letters picked without replacement from {s: 6, f: 3, t: 2, k: 3, u: 3}. 3/136 Calculate prob of picking 1 m, 1 n, and 1 j when three letters picked without replacement from {n: 4, m: 1, d: 3, j: 2}. 1/15 Four letters picked without replacement from {b: 4, j: 3}. What is prob of picking 2 j and 2 b? 18/35 Calculate prob of picking 1 m and 1 h when two letters picked without replacement from xexmhht. 2/21 Three letters picked without replacement from llll. Give prob of picking 3 l. 1 What is prob of picking 2 k when two letters picked without replacement from {k: 2, f: 9}? 1/55 What is prob of picking 1 w and 3 t when four letters picked without replacement from ttllttttlwtlwt? 16/143 Three letters picked without replacement from {k: 2, c: 1, z: 7, y: 1, a: 4}. Give prob of picking 1 k, 1 z, and 1 a. 8/65 What is prob of picking 2 m when two letters picked without replacement from mqmmqqmqqqmqm? 5/26 Two letters picked without replacement from {n: 2, g: 9}. Give prob of picking 1 n and 1 g. 18/55 Calculate prob of picking 2 u when two letters picked without replacement from uuuu. 1 Three letters picked without replacement from slfjssslshlhsfsss. Give prob of picking 2 s and 1 l. 27/170 Calculate prob of picking 1 p and 1 d when two letters picked without replacement from fdxxfpfxfaxffxxxpxx. 2/171 What is prob of picking 4 f when four letters picked without replacement from {x: 9, f: 11}? 22/323 What is prob of picking 2 s when two letters picked without replacement from {s: 3, g: 8}? 3/55 What is prob of picking 2 b when two letters picked without replacement from {b: 2, t: 10}? 1/66 Four letters picked without replacement from {n: 10, h: 4}. What is prob of picking 4 h? 1/1001 Four letters picked without replacement from yjfybffooxyxo. Give prob of picking 1 x, 1 j, and 2 f. 6/715 What is prob of picking 2 a and 2 h when four letters picked without replacement from ahhhhha? 2/7 Two letters picked without replacement from sfsydny. Give prob of picking 2 y. 1/21 Calculate prob of picking 1 z and 1 q when two letters picked without replacement from {q: 2, v: 3, z: 1, l: 6, r: 2}. 2/91 What is prob of picking 1 u and 1 p when two letters picked without replacement from {m: 5, u: 3, p: 1, q: 1}? 1/15 Two letters picked without replacement from {i: 1, x: 2, z: 1, n: 1, f: 1, h: 1}. What is prob of picking 1 z and 1 i? 1/21 Four letters picked without replacement from bttbbbtbywttmyttb. What is prob of picking 2 b, 1 w, and 1 t? 3/68 Three letters picked without replacement from {q: 1, v: 4, j: 1, y: 2, e: 3}. What is prob of picking 1 q, 1 y, and 1 e? 2/55 Calculate prob of picking 3 c and 1 w when four letters picked without replacement from {c: 3, s: 4, m: 1, w: 1, j: 2}. 1/330 Three letters picked without replacement from {f: 1, z: 4, u: 2, r: 3, h: 4, b: 1}. Give prob of picking 1 b, 1 u, and 1 h. 8/455 Three letters picked without replacement from {a: 2, u: 3, e: 2, s: 2, q: 6}. What is prob of picking 1 a and 2 u? 6/455 Two letters picked without replacement from kbbkbkqqkbbb. Give prob of picking 1 b and 1 k. 4/11 Two letters picked without replacement from nxnxnenxxecnnnn. What is prob of picking 1 x and 1 n? 32/105 Four letters picked without replacement from tpputuxuuxxxxtujppt. What is prob of picking 4 x? 5/3876 Four letters picked without replacement from {d: 1, o: 2, b: 1, p: 1, u: 1, x: 1}. What is prob of picking 2 p and 2 b? 0 What is prob of picking 1 i, 1 d, and 1 v when three letters picked without replacement from dfiddfjidvjiviq? 32/455 Calculate prob of picking 1 k and 2 n when three letters picked without replacement from {h: 2, u: 1, j: 3, d: 3, n: 4, k: 3}. 9/280 What is prob of picking 4 c when four letters picked without replacement from {c: 5, a: 1, t: 4}? 1/42 Calculate prob of picking 1 x and 2 n when three letters picked without replacement from nxnxxxnxnxnxnnnnjn. 105/272 Four letters picked without replacement from eahggaeahhh. What is prob of picking 2 h and 2 g? 1/55 Three letters picked without replacement from {r: 2, s: 5, h: 1, z: 6, u: 2, e: 3}. Give prob of picking 1 u, 1 s, and 1 z. 20/323 Calculate prob of picking 1 l and 1 j when two letters picked without replacement from jjffljjljjfj. 7/33 Calculate prob of picking 1 d, 1 g, 1 f, and 1 i when four letters picked without replacement from bpddfgig. 2/35 Three letters picked without replacement from mgmjjjggmgjgmg. Give prob of picking 2 g and 1 j. 15/91 Two letters picked without replacement from {s: 1, t: 14}. Give prob of picking 1 s and 1 t. 2/15 Three letters picked without replacement from {x: 1, b: 5, n: 6, l: 5}. Give prob of picking 3 n. 1/34 Two letters picked without replacement from qhkzuqn. What is prob of picking 1 n and 1 u? 1/21 Four letters picked without replacement from nzttzintzzgttnt. Give prob of picking 1 z, 1 g, 1 t, and 1 n. 24/455 What is prob of picking 3 z when three letters picked without replacement from {d: 1, z: 11}? 3/4 What is prob of picking 3 r when three letters picked without replacement from nnrvvxvnrrvnrvrxdvxx? 1/114 What is prob of picking 1 g and 1 d when two letters picked without replacement from {f: 7, g: 2, d: 1}? 2/45 Four letters picked without replacement from {n: 7, q:
{ "pile_set_name": "DM Mathematics" }
-72*q - 6 Let f = 66 + -63. What is the third derivative of -3*y**2 + f*y**2 - 35*y**6 - 2*y - 3*y**2 - 3*y wrt y? -4200*y**3 Let j be (-315)/(-147) - (-2)/(-14). What is the third derivative of 2*n**j - 5*n**2 - 9*n**4 + 13*n**2 wrt n? -216*n Let z(q) = 186*q**5 + 7*q**2 + 8*q + 25. Let s(a) = -186*a**5 - 6*a**2 - 7*a - 26. Let t(g) = -7*s(g) - 6*z(g). What is the second derivative of t(n) wrt n? 3720*n**3 Let v(k) = 29*k**2 - 15*k - 21. Let t(h) = 2*h**2 + 2*h. Let j(s) = -21*t(s) - 3*v(s). What is the second derivative of j(m) wrt m? -258 Find the second derivative of 23*w - 15*w - 31*w**3 + 0*w**4 + 23*w - w**4 wrt w. -12*w**2 - 186*w Suppose -3*d = -2*o + 6, 5*d - 11 = -3*o + 17. What is the third derivative of 239*v**o - 120*v**6 - 117*v**6 + 20*v**3 + 10*v**2 wrt v? 240*v**3 + 120 Let h(n) be the first derivative of -51*n**4/4 - 87*n**2/2 - 32. What is the second derivative of h(y) wrt y? -306*y Suppose 4 = 2*a - 8. Suppose -3 = -k, a = -3*q + 7*q - 2*k. What is the second derivative of -7*h**5 + 4*h**3 - 4*h**q + 7*h + 0*h**5 wrt h? -140*h**3 Let u = 11 - -3. Let n be u/4 - (-6)/12. Find the third derivative of -4*s**2 + 2*s**2 + n*s**5 - s**2 wrt s. 240*s**2 Let n(s) be the first derivative of 0*s**5 + 0*s - 23/6*s**6 + 0*s**3 - 2 + 0*s**4 - 4*s**2. Find the second derivative of n(y) wrt y. -460*y**3 What is the second derivative of -490*z**2 - 221*z**2 - 35 - 4*z + 6 + z wrt z? -1422 Let a(i) be the third derivative of i**7/210 + 193*i**4/24 - 205*i**3/6 - 84*i**2. Differentiate a(h) with respect to h. 4*h**3 + 193 Let y(i) = -i**3 + 7*i**2 - 8*i + 7. Let x be y(5). What is the second derivative of 3*d**5 + 0*d**5 - 227*d**2 + 227*d**2 - x*d wrt d? 60*d**3 Suppose 9*r - 127 + 82 = 0. Let h(n) be the second derivative of 0 + 1/4*n**r + 0*n**3 + 9*n + 0*n**4 + 7/2*n**2. What is the derivative of h(k) wrt k? 15*k**2 Let z be -1 - (13 - (-3)/1). Let t = -14 - z. Find the first derivative of 3 - 8*l**2 + t + 1 + 0 wrt l. -16*l Let r = 194 + -134. Let c be (r/(-35) + 2)*7. Differentiate -5*z**3 + 1 + 5*z**3 - 8*z**4 + c with respect to z. -32*z**3 Let b(o) be the third derivative of o**5/60 + 13*o**4/12 - 311*o**3/6 - 11*o**2 + 9*o. Find the first derivative of b(y) wrt y. 2*y + 26 Let g(r) = -4*r - 16. Let p be g(-6). Let w be 1/(-4) + (-13)/(-4). What is the third derivative of -7*v**4 - 9*v**2 - p*v**3 + 8*v**w wrt v? -168*v Let a(z) = z**3 + 4*z**2 - 3*z + 1. Suppose 0 = 2*s - 3 + 11. Let g be a(s). Find the second derivative of g*i**3 + 5*i - 11*i**5 - 13*i**3 wrt i. -220*i**3 Suppose 7*v - 2*v = 15. Let q(w) = -1 - 4 + 1 + v. Let f(h) = 3*h - 2. Let c(y) = f(y) + 2*q(y). What is the first derivative of c(g) wrt g? 3 What is the third derivative of -257*k**2 - 47*k**4 - 39*k**2 + 2*k**4 - 144*k**2 - 186*k**2 wrt k? -1080*k Let q(x) be the second derivative of 3*x**4/8 - 13*x**3/6 - 5*x**2/2 - 13*x. Let a(s) be the first derivative of q(s). Find the first derivative of a(o) wrt o. 9 Suppose 12*o - 9*o - 12 = 0. Let d(c) be the second derivative of 0*c**2 - 1/4*c**o - 1/10*c**5 + 5*c + 0*c**3 + 0. What is the third derivative of d(n) wrt n? -12 Let s(h) be the first derivative of -407*h**5/5 + 194*h - 114. Differentiate s(w) wrt w. -1628*w**3 Let x(m) = -11*m**3 + 121*m**2 - 18*m + 1. Let r(a) = -7*a**3 + 81*a**2 - 12*a + 1. Let d(w) = 8*r(w) - 5*x(w). What is the second derivative of d(o) wrt o? -6*o + 86 Let j = -9 - -13. Suppose g - j = 1. Find the second derivative of 6*v**4 - 10*v**4 - g*v + 8*v**4 wrt v. 48*v**2 Suppose -5*i + 294 = -3*q + 76, q + 73 = 2*i. Let l be (-1)/(-4) - q/4. Find the second derivative of -37*s**2 + l*s**2 + 16*s**2 - 2*s wrt s. -6 Suppose f - 3*h - 2*h = 29, 12 = -2*f - 4*h. Differentiate -2 + 16*z - f - 8 + 10 with respect to z. 16 Find the third derivative of 145*x**2 - 697*x**5 + 1100*x**5 + 296*x**2 wrt x. 24180*x**2 Let w(z) = -z**2 + 3*z. Let d be w(1). What is the first derivative of d*i**2 + 0*i**2 - 6*i**2 - 7*i**2 - 6 wrt i? -22*i Let d(g) = -727*g**2 + 5*g - 760. Let v(w) = 363*w**2 - 2*w + 379. Let j(u) = -2*d(u) - 5*v(u). Differentiate j(q) with respect to q. -722*q Let z(g) be the second derivative of -g**6/30 - 33*g**5/10 - 191*g**4/12 + 145*g. Find the third derivative of z(m) wrt m. -24*m - 396 Let h(w) = w**3 + 2. Let f be h(0). What is the third derivative of 2*o**3 + 5 - 8 - 12*o**f + 3 wrt o? 12 Let p(t) be the second derivative of 25*t**3/3 - t**2 - 20*t. Differentiate p(h) with respect to h. 50 Suppose 4*a = -2*t, -t + 5*a + 11 = -3. Find the third derivative of t*g**2 - 65 + 65 + 7*g**5 wrt g. 420*g**2 Let z(r) = -r - 5. Let h be z(-7). Find the first derivative of -2*q + 6 + 2*q + 2*q**2 - 10*q**h wrt q. -16*q Find the third derivative of -15*o**2 - 13*o**2 - 15*o**2 - 31*o**3 + 46*o**2 - 23 + o**3 wrt o. -180 Suppose 9 = r + 4*k - 14, -5*k = 2*r - 31. What is the third derivative of 10*c**3 - 3*c**2 - r*c**2 + c**2 - 2*c**3 wrt c? 48 Let f be -2 - ((-3 - -3) + -4). What is the third derivative of -7*i**4 - i**2 - 10*i**f + 3*i**2 wrt i? -168*i Let w(k) = -17*k**4 + 4*k**3 + 4*k**2 + 284. Let f(j) = -18*j**4 + 5*j**3 + 5*j**2 + 284. Let a(c) = 4*f(c) - 5*w(c). Differentiate a(s) with respect to s. 52*s**3 Let w(i) = -3*i - 4. Let a be w(-8). What is the second derivative of -5*b + a*b**2 - 7*b - 22*b wrt b? 40 Let d(x) be the first derivative of -310*x**3/3 - 39*x**2 + 9. What is the second derivative of d(j) wrt j? -620 Let h(y) be the second derivative of 0*y**4 + 0*y**5 - 5/6*y**3 + 0 + 0*y**2 - 4/15*y**6 + 10*y. What is the second derivative of h(p) wrt p? -96*p**2 Let x = 16 + -14. Find the second derivative of t**2 + 7*t**x - 13*t + 10*t**2 - 5*t**2 wrt t. 26 Let w(f) be the second derivative of -f**6/15 - 223*f**5/20 + 99*f**4/4 + 3*f + 25. Find the third derivative of w(s) wrt s. -48*s - 1338 Suppose 4*u - 3 = 5*c, c = u - 0*u - 1. Suppose 0 = -u*n - x + 20, n + 3*x = -3*n + 38. What is the second derivative of -3*h**2 + n*h - 3*h - 5*h wrt h? -6 Let u(k) = k**2 + 5*k - 6. Let v be u(-6). Let w = 9 - v. What is the third derivative of -6*o**4 - 3*o**2 - w*o**2 + o**2 + 0*o**2 wrt o? -144*o Let x(d) be the second derivative of -5*d**8/56 + 9*d**5/20 + d**4/6 + d**3/2 - 120*d. What is the third derivative of x(n) wrt n? -600*n**3 + 54 Suppose 5*x + b = 3, 6*b - 3*b = x + 9. Suppose q - 2*j - 2*j - 13 = x, 17 = 3*q - j. Find the third derivative of 0*u**2 - 4*u**2 - 1 + q*u**6 + 1 wrt u. 600*u**3 Let l(b) = 14*b + 1 + 29 - 6*b + 22*b. Let q(y) = 5*y + 5. Suppose 147 = 4*k + 47. Let n(g) = k*q(g) - 4*l(g). Differentiate n(h) wrt h. 5 Suppose 0 = 3*n + 3*y - 108, y + 248 = 5*n + 38. Differentiate -14*u + n - 66 - 4*u with respect to u. -18 Let o = 806 + -802. Let d(f) be the first derivative of -5/2*f**4 + 0*f + 0*f**3 + 8 - o*f**2. Find the second derivative of d(p) wrt p. -60*p Suppose 4*i = 2*r - 106, -105 = -3*r + 2*i + 38. Suppose 17 = 4*z + 1. Find the second derivative of -r*v + 49*v - 9*v**z - 3*v**4 wrt v. -144*v**2 Let b(c) be the first derivative of 13*c**5 + 153*c**2/2 - 36. What is the second derivative of b(n) wrt n? 780*n**2 Let c = -19 + 27. Suppose 15*g = 11*g + c. Find the third derivative of 7*r**g - 7*r**2 - 2*r**3 + 6*r**2 wrt r. -12 Find the first derivative of -25 + 3 - 22 + 3*v**2 - 3*v + 12 wrt v. 6*v - 3 Let f(p) = -p**3 + 2*p**2 + p + 4. Suppose 0*a + a = -3. Let c be f(a). What is the second derivative of -46 + c + 3*z**5 + z wrt z? 60*z**3 Differentiate 204*w - 79 - 33 + 257*w - 583*w wrt w. -122 Let u(p) = 10*p**5 - 4*p**3 - 3*p**2 + 4*p - 142. Let g(b) = -b**3 - b**2 + b. Let q(x) = 4*g(x) - u(x). Find the third derivative of q(f) wrt f. -600*f**2 Let i(g) be the first derivative of g**5/5 + 21*g**4/2 - 22*g**3/3 - 315. Find the third derivative of i(f) wrt f. 24*f + 252 Let n(l) be the second derivative of 0*l**4 + 0*l**6 + 0*l**5 + 4*l**3 + 0*l**2 - 35*l + 0 + 6/7*l**7. Find the second derivative of n(x) wrt x. 720*x**3 Let t(n) be the third derivative of 0*n**5 + 0*n**7 + 0*n**3 + 8*n**2 + 5/168*n**8 + 0*n + 0*n**6 + 1/12*n**4 + 0. What is the second derivative of t(i) wrt i? 200*i**3 Let d(c) = -20*c**2 - c + 5. Let u(q) = -q**2 - q + 1. Let t = 8 + -13. Let h(j) = t*u(j) + d(j). What is the second derivative of h(l) wrt l? -30 What is th
{ "pile_set_name": "DM Mathematics" }
Express (2*k - k - 3*k)*(4*k - 3*k + k) as x*k**2 + w + l*k and give x. -4 Express -559 - 146*l + 559 as a*l + m and give a. -146 Express -8*r**2 - 25*r**2 - 11*r**2 in the form t*r**2 + l*r + h and give t. -44 Express 1 + 6*i**2 - 14*i**2 - 27*i**2 + 0 as l*i**2 + u*i + a and give l. -35 Rearrange 4*q**2 - 4*q**2 + 0 + 2 - q + 7*q**3 + q**2 to m*q + t*q**3 + i*q**2 + n and give n. 2 Rearrange u**2 + 3*u**2 - 3*u**2 + (-u + 2*u + u)*(6*u - u - 3*u) - 2*u**2 + 4*u**2 - u**2 + 1 - 6 - 4 - 2*u**2 to j + n*u + i*u**2 and give n. 0 Express 3*u + 5*u - 3*u + 8*u in the form o*u + a and give o. 13 Rearrange -4*h + 10*h - 5*h - 4*h**2 to the form g*h**2 + s + t*h and give g. -4 Rearrange 4*o**3 + 1 + 3*o**2 + 3 + 1 - 2 to x + a*o**2 + w*o + y*o**3 and give x. 3 Express (-1 - 7 + 2)*(4 + 8*r - 4)*(2*r - 7 + 7)*(r + 2*r - r) in the form x + q*r + g*r**3 + a*r**2 and give g. -192 Rearrange 190*y + 17*y**2 - 190*y to i*y**2 + t*y + g and give i. 17 Rearrange -2*z + 3*z**2 + 135 + z - 136 - z to the form w + o*z**2 + u*z and give o. 3 Rearrange 14*a + 11*a - 10*a to l*a + u and give l. 15 Rearrange (9*k**3 + 10*k**3 - 4*k**3)*(-2 + 2 - 1)*(-4 + 1 + 1 + k) to z*k + s*k**2 + t + b*k**3 + n*k**4 and give b. 30 Express -f + 2*f - 2*f + 59*f - 24*f + 29*f + (-5 + 5 + 1)*(2*f - 2 + 2) - 2*f + f + 3*f as g*f + d and give d. 0 Rearrange -25*y**3 + 15*y**2 + 15 - 19 + 24*y**3 to the form q*y**2 + i*y**3 + k*y + j and give q. 15 Express -4*k**2 + 2*k**4 + 2*k**2 - 10*k + 3 + 8*k + k**3 as i + s*k**4 + c*k**3 + p*k + d*k**2 and give d. -2 Rearrange (-o + 3*o - o)*(15*o**2 - 8*o**2 + 1 - 6*o**2 - 4*o) to t*o + j*o**2 + k + d*o**3 and give j. -4 Express (-4 + y**2 + 4 + (-5*y + 2*y + y)*(0*y + 4*y - 6*y) + 0*y + 0*y - y**2)*(-3*y + 2*y - 6*y) as m + k*y**2 + p*y**3 + s*y and give p. -28 Express 2*s**2 - s**2 + 1 + 2*s**2 - 8*s**2 in the form i*s**2 + n + g*s and give n. 1 Rearrange (4 - 3 + 0)*(-2*h + 2*h - 2*h**2) - 9*h**2 - 22*h + 22*h + (24*h - 10*h + 0*h)*(2*h - h - 3*h) to b + u*h + l*h**2 and give l. -39 Express s**4 + s**3 - 38*s + 36*s - 2*s**4 as i*s + c*s**3 + v*s**4 + q*s**2 + w and give i. -2 Express (-4*b - 10*b + 2*b)*(-2 + 2 - b**3) in the form x*b**4 + q*b + p + l*b**3 + y*b**2 and give q. 0 Rearrange -3*i**3 + 2 - 2*i**4 - 2*i**3 + i**4 + 7*i**3 to the form q*i**4 + t*i + s + p*i**3 + f*i**2 and give s. 2 Express -6*l**2 + 2*l**2 - l**2 as r + u*l + j*l**2 and give j. -5 Rearrange 0*w**2 + 8*w**2 - 84*w**4 + 85*w**4 - w**3 - 3*w**2 + 3 to a*w + o*w**3 + v*w**2 + i*w**4 + q and give v. 5 Rearrange 4*y**2 - 6 - 3*y**4 - 2*y**2 + 4 to i*y**3 + n*y**2 + g*y**4 + z + d*y and give n. 2 Express (-4*u - 12*u + 9*u)*(4*u - u - 4*u) + u**2 - 2 + 2 as p*u + w*u**2 + z and give w. 8 Express (6*t + 0*t - 4*t)*(t - t - t) + 5*t + 4*t**2 - 13*t**2 + 7*t**2 as n*t + s + o*t**2 and give o. -4 Rearrange (-2*z - 3*z + 3*z)*(-2*z**3 - 4*z**2 + 4*z**2) + 38*z**4 + 17*z - 17*z to the form h*z**3 + q*z**2 + c*z**4 + s*z + b and give c. 42 Express (4*k - 2*k - k)*(-k + k - k) - 15*k**2 - 7*k**2 + 35*k**2 as g*k**2 + o + y*k and give g. 12 Express 1 - 2*i**3 - i**2 - 4*i**4 + 2*i**4 - 3*i**4 + 3*i**4 as w*i**3 + r*i**4 + k*i**2 + n + y*i and give r. -2 Express (3 + 1 + 0)*(-w + 0 + 0) + (3*w - 3*w - w)*(-1 - 1 + 0) - 5*w + 4*w + 11*w as p*w + s and give p. 8 Express (2*g + 3*g - 6*g)*(0*g**2 - g**2 + 0*g**2) + (-2*g**3 + 3*g**3 - 3*g**3)*(0 + 1 + 1) in the form m*g**2 + p + l*g**3 + q*g and give l. -3 Rearrange -w**2 + 0 + 0 + (2 - 1 + 5)*(1 + 0 - 2)*(-3*w**2 + 0*w**2 + 5*w**2) to t*w + s*w**2 + l and give s. -13 Express (g - 2*g + 0*g)*(-g**3 + 3*g**3 + 0*g**3) + (0*g**2 + 0*g**2 - g**2)*(1 - 3 + 1)*(-3 + 3 + 6*g**2) as z*g**3 + p*g**4 + l*g**2 + v + k*g and give p. 4 Express (0 - 1 + 0 + (-2 + 0 - 2)*(2 + 0 + 0) - 1 - 4 + 1)*(-2*u + 3 - 3)*(-1 + 2*u + 1) in the form f*u + q + p*u**2 and give p. 52 Rearrange (-1 + 2*l**2 + 1)*(-17*l - 336 + 336) to the form y*l**2 + n + t*l + b*l**3 and give b. -34 Rearrange 2*a + 2*a**3 + 3*a - a - 7*a to c*a + n*a**3 + l*a**2 + k and give c. -3 Rearrange (-y + 5*y + 5*y)*(0 - 5*y + 0) to b*y + p*y**2 + n and give p. -45 Rearrange 3*u**2 - u**2 + 0*u**2 + (u**2 + 1 - 1)*(-2 + 2 + 2) to the form q + l*u + h*u**2 and give h. 4 Rearrange 455 + 459 - 914 - 84*p**2 to the form o + a*p**2 + n*p and give a. -84 Rearrange (3*f - 3*f + 8*f)*(-2*f**3 - 3*f + 5*f**3 - 4*f**3) to q + p*f + l*f**3 + a*f**2 + o*f**4 and give p. 0 Rearrange -y**3 + 2*y**3 + 6 + 3 + 15 to the form m*y**3 + f*y**2 + z*y + u and give u. 24 Express (-i - 5*i + 3*i)*(10*i**3 + 11*i**3 - 6*i**3) in the form v*i + m*i**3 + z*i**2 + n*i**4 + y and give n. -45 Express (v**2 - 6*v**2 + 3*v**2)*(-2*v + v - v) + 4*v**3 - 4*v**3 + 2*v**3 + (2 + 2*v**2 - 2)*(-2*v - 3 + 3) in the form u*v**2 + c*v + l*v**3 + f and give l. 2 Rearrange 0*h**2 + h**2 - 649*h + 2 + 645*h to the form m + d*h + r*h**2 and give m. 2 Rearrange 371 - 371 - 262*a**3 + (-3 + 2*a + 3)*(0*a**2 + a**2 + 0*a**2) to the form h*a**2 + u*a + m + w*a**3 and give w. -260 Rearrange -216 - 11*o**2 + 4*o**2 + 219 to y*o**2 + r + j*o and give r. 3 Rearrange 2*k**3 + k**2 + 2*k + 4*k**4 - 2*k**4 - 2*k**2 to the form h*k**3 + z*k**2 + r + v*k**4 + f*k and give f. 2 Rearrange 7*u - 39 - 38 + 2*u**3 + 77 to the form r*u**3 + f*u + z + t*u**2 and give r. 2 Rearrange (-53*x - 40*x + 8*x)*(x - x + 2*x)*(2*x + 2*x - 2*x + (-2 - 1 + 2)*(-1 + 1 + x)) to the form w*x**3 + n*x**2 + q + m*x and give w. -170 Express 0*g**2 + 1 + 2*g**2 - g**2 in the form m + r*g + t*g**2 and give m. 1 Express -12 - 3 - 21 + b + 5 in the form l + d*b and give l. -31 Express -68*z**2 + 68*z**2 - 6*z**3 - 1 + 2 in the form y*z**2 + q*z**3 + m + t*z and give q. -6 Rearrange -95*r + 46*r + 13*r**2 + 50*r to the form j*r + c*r**2 + b and give j. 1 Express -165 + 165 - 10*a**2 + 3*a + 0*a**2 as o + v*a + d*a**2 and give o. 0 Rearrange (3 - 4 - 1)*(3*s + 19 - 19)*(-2 + 2 + 1) to m*s + q and give q. 0 Express 6 + 0*l - 5*l + 4*l + 0 as f*l + j and give j. 6 Rearrange (2*y**2 - 4*y**2 + 3*y**2)*(143*y**2 + 5 - 2 - 142*y**2)*(-1 + 4 - 5) to i*y**2 + x*y**3 + a*y + r*y**4 + k and give i. -6 Express 120*c + 1852 - 1852 in the form d + a*c and give a. 120 Express 2*o**4 + 47*o**3 + 1 - 2*o**2 + 40*o**3 - 66*o**3 + 0*o + o in the form c*o**4 + f*o**3 + a*o + q*o**2 + w and give c. 2 Rearrange 97*f - 195*f + 3*f**2 + 5*f**3 + 97*f to p*f + x*f**3 + r + m*f**2 and give m. 3 Rearrange -11 + 17*y**2 - y**2 + 11 to the form d*y**2 + j*y + c and give c. 0 Express 2*l + 0*l + 7*l + l as w*l + s and give w. 10 Rearrange (0 - 2*q**2 + 0)*(2 - 2 - 2*q)*(11 + 12 - 22) to the form d*q**2 + o*q + g + s*q**3 and give s. 4 Express 13*l**4 + 122*l - 122*l + (-4*l**4 - l**3 + l**3)*(-5 + 0 + 4) as k*l**4 + x*l**2 + c + q*l + w*l**3 and give k. 17 Rearrange 52*b**2 - 127*b**2 + 39*b**2 to a*b + h*b**2 + c and give h. -36 Express -74*y**3 - y - 5*y + 4*y**2 + 75*y**3 in the form x + m*y**2 + o*y**3 + r*y and give m. 4 Express (-3*z + 2*z - 2*z)*((-1 - 1 + 1)*(-2 + 5 - 2) - 6 + 7 + 6) in the form y*z + j and give y. -18 Rearrange 0*z**4 + 4*z**4 - 2*z - 12*z**2 - 2*z**4 to the form f*z**4 + c*z + x*z**2 + q + k*z**3 and give c. -2 Express -4*w + 6*w + 6 - 4*w - 30 in the form m*w + a and give m. -2 Rearrange (-200*k - 69 + 69)*(-1 + 1 - 2*k**2) to the form p*k**2 + u*k + q*k**3 + i and give q. 400 Express j**3 - 19*j + 2 + 19*j as f + b*j**2 + w*j**3 + i*j and give i. 0 Express (0 - 3 + 1)*(1 - 7 + 1)*(-w - 3*w + w)*(-3 + 2 + 0)*(2*w - 1 + 1) in the form b + x*w + v*w**2 and give v. 60 Express -8*n**3 - n**2 + 6*n**2 - 2*n**2 - n**2 in the form v + w*n**2 + l*n**3 + i*n and give w. 2 Express -6 + 2296*l + 2 - 2257*l in the form h*l + k and give k. -4 Express 31*c**2 - 31*c**2 - 9*c**4 - 2 + 0*c**4 + 4*c**3 in the form s*c**2 + z*c + o*c**3 + t*c**4 + a and give t. -9 Express 2*h - 2*h + h**3 + (4*h - 2*h + 3*h)*(5*h**2 - 4*h**2 + 2*h**2) + 0*h + h**3 + 0*h - 1 in the form y*h**3 + f + c*h + s*h**2 and give f. -1 Rearrange 5*j + 11*j - 4*j to y*j + t and give y. 12 Express 6 + 49*s**3 + s - 51*s**3 + 0*s in the form x*s + l*s**2 + b + v*s**3 and give b. 6 Rearrange -1 - 7 + 6 + 2*p + p**4 to the form c + l*p**3 + i*p**4 + z*p**2 + y*p and give l. 0 Express (-1 - 5 + 4)*(-3*c**4 - c**4 + 3
{ "pile_set_name": "DM Mathematics" }
-w + 2170*w**2 - 2084*w**2 + 10*w to the form n*w + l + k*w**2 and give k. 86 Express z**2 - 3*z**2 - 5*z**2 + (2*z - z + z)*(2*z - 4*z - 2*z) - 414*z**2 - 15 - 47*z + 43*z + 416*z**2 in the form g*z**2 + h*z + f and give h. -4 Rearrange 10097*r**3 + 10097*r**3 - 5 - 20196*r**3 - 164*r + 3*r**2 to the form x*r**3 + w*r**2 + u*r + l and give w. 3 Express -3179*a + 16 - 29 + 13 + 23*a as i*a + r and give i. -3156 Rearrange 66105*i**2 - 5 + 4 + 2*i - 66204*i**2 - 3*i**3 to a*i**3 + f*i**2 + w*i + r and give a. -3 Rearrange 47*s**4 + 0*s**4 - 9*s**4 + (-108 + 105 - 2*s + 2*s**2 - s)*(s**2 - 3*s**2 + 0*s**2) to the form h*s**3 + z + c*s**4 + m*s + y*s**2 and give m. 0 Express 0*g**3 - 3*g**4 + 0*g**3 + (4*g**3 + g**3 - g**3)*(-g - 1 + 1) - 18 - 18 + 2*g**4 - 2*g - 2 as k*g + o*g**3 + i*g**2 + b + v*g**4 and give b. -38 Express -28*p + 3*p**2 + 2*p**3 + 126 + 80 + 2*p**2 - 2*p**2 - 201 as d + t*p**3 + h*p + c*p**2 and give c. 3 Rearrange 15 + 149*m**2 + 37 + m**3 - 51 - 12*m**4 + 15*m**4 to w + h*m**4 + l*m**2 + n*m**3 + b*m and give n. 1 Express -1121*j + 2391*j - 5893*j as q*j + p and give q. -4623 Rearrange -5*c**3 + 2 + 7*c**3 - 4 + (-2*c + 0*c + 0*c)*(78*c**2 + 72*c**2 + 16*c**2) to l*c**2 + p*c**3 + a + w*c and give a. -2 Express -13*j**2 - 7023046*j - 3*j**2 + 7023041*j in the form n*j + x + o*j**2 and give o. -16 Express 3*a - 4*a - a + (-35*a - 61*a + 149*a)*(-8 - 27 - 2) as k*a + t and give k. -1963 Rearrange -5 - h + 352686*h**2 - 351794*h**2 + h to v*h**2 + w + c*h and give w. -5 Rearrange -w - 230 - 2*w - 966 + 2*w**2 - 2*w + 2*w to r + q*w**2 + x*w and give q. 2 Express 38*b + 3121 + 46*b + 79*b - 161*b in the form h + o*b and give h. 3121 Rearrange (-24*u + 3 - 56 - 2*u**2 + 50 + (2*u + 4*u - 4*u)*(-4 - 2*u + 4))*(u**2 - 2*u**2 + 7*u**2) to the form v*u**3 + z*u**4 + d*u**2 + q + h*u and give d. -18 Express -5900*l**3 + 3*l**2 + 2955*l**3 + 0*l**2 - 2*l**2 - 40*l + 2946*l**3 + 50 in the form z*l**3 + w*l + j + x*l**2 and give z. 1 Express (i + 0*i - 3*i)*(3*i + 18*i + 0*i) + 9 + 4*i**2 - 9 + (3 - 2 + 0)*(i**2 - 3*i**2 - 2*i**2) as s*i + u*i**2 + x and give u. -42 Rearrange (3*w**3 - w**3 - 4*w**3)*(5*w - 5*w + w) + 652*w**4 + 2*w**3 - 840*w**4 + 421*w**4 to c*w**2 + j*w + r*w**4 + n*w**3 + x and give x. 0 Rearrange 33*d - d**3 + 106*d - 203*d + 7*d**2 to the form s*d + o*d**2 + k + t*d**3 and give o. 7 Express -1273*y**2 + 996*y - 996*y - 72*y**2 in the form w*y + u + s*y**2 and give s. -1345 Rearrange -1062*d - 3147 - 3396 - 291 + 1063*d to b + j*d and give j. 1 Express 878*y**2 + 7852*y**2 + 11824*y**2 - 1821*y**2 + 4424*y**2 in the form q*y + x + v*y**2 and give v. 23157 Rearrange 1903 - 1982 + 23*a + 32*a to the form j + q*a and give j. -79 Express 589*y + 599*y - 2376*y + 353*y**2 + 595*y + 596*y in the form h*y**2 + o*y + w and give o. 3 Express 59*y**2 + 468*y - 447*y - 34*y**2 as a*y**2 + i + s*y and give s. 21 Rearrange (905 + 905 + 260*s - 1811)*(6*s + 3*s**3 - 6*s) to the form t*s**3 + l*s**4 + o*s**2 + x*s + u and give t. -3 Express (4 + 2 + 1)*(81 + 68 + 2*m**2 + 5*m - 129) in the form b*m**2 + h + n*m and give n. 35 Rearrange 314 + 315 - 5*m - 638 - 4*m + m + m + (0 + 0 + 2*m)*(-2 + 2 - 2) + 0*m + 4*m - 2*m - 2 + 2*m + 2 - m + 2*m + 0*m to the form f + g*m and give g. -6 Express -279*n**4 - 9 - 3*n - 1 + 280*n**4 in the form j*n**3 + b + f*n + t*n**2 + h*n**4 and give b. -10 Rearrange 19773*d**2 - 9885*d**2 - 9887*d**2 - 36*d**3 + 6*d to the form o + z*d**3 + t*d**2 + v*d and give v. 6 Express 20 + 2*t**3 - 158*t + 111*t + t**2 + 112*t - 63*t as i*t + b*t**3 + c*t**2 + u and give i. 2 Express -169*x + 333*x + x**2 + 25*x**4 - 166*x + (-x + x - 7*x)*(-x**2 + 4*x**3 + x**2) as u + a*x**3 + o*x**4 + r*x**2 + s*x and give s. -2 Rearrange (0*n - 5*n + 4*n)*(-1 + 0 + 2) + 2 - 2 + 2*n + 25*n + 38274 - 12669 - 12566 - 12723 to the form o*n + m and give m. 316 Express -16*r + 9*r**2 - 7 + 8 - 7*r**2 + 80*r**2 in the form j*r + m*r**2 + y and give m. 82 Express (-c**3 + 7 - 3*c**4 - 7)*(-433 - 929 + 396) as w + p*c**4 + l*c + a*c**3 + q*c**2 and give a. 966 Express (k - 298*k**2 + 159*k**2 + 168*k**2)*(-7 - 1 + 30)*(2*k**2 + 2*k**2 - 5*k**2) as g*k**2 + m*k + f*k**3 + u + s*k**4 and give s. -638 Express (9706*p**3 + 6945*p - 9708*p**3 - 2 + 2)*(0*p + p - 2*p) as r*p**4 + q*p**2 + o*p + h*p**3 + t and give q. -6945 Rearrange (-29 - 44 + 7)*(-29 + 14*x + 4*x - 21*x) to t + q*x and give q. 198 Rearrange (-4*k**2 - 2*k**2 + 0*k**2)*(-155 - 70 - 133)*(-k + 2*k - 7*k) to the form v + w*k**2 + u*k**3 + n*k and give u. -12888 Rearrange 415*y**4 - 814*y**4 + 0*y**3 - y**3 - 23*y**2 + 401*y**4 + 2*y to t*y**4 + s*y**3 + x + b*y + u*y**2 and give b. 2 Express (9 + 17 - 2)*(-2*z + z + 3*z)*(28*z**3 + 12*z**3 + 12*z**3) in the form t*z**3 + a*z**4 + k*z + i + v*z**2 and give a. 2496 Express 1633*o + 2792*o - 2089*o + 2837*o as s + k*o and give k. 5173 Express (-3 - 1 + 29*h - 36*h)*(-6*h + 0*h + 0*h)*(281 - 281 + 23*h) in the form s*h**3 + x*h**2 + k*h + t and give x. 552 Rearrange (-5*q - 2*q + 0*q)*(2460 + 768*q - 2460) to the form b*q + l*q**2 + h and give l. -5376 Express 21063*l - 10512*l - 28 - 10532*l - 70 in the form o + v*l and give o. -98 Rearrange (-2 - u**2 + 2)*(-76004*u - 76003*u + 385 + 152003*u)*(0 + 0 + 2)*(-1 + 5 - 3) to the form x + k*u**3 + m*u**2 + c*u and give m. -770 Express 2*k**4 - 3 + 4 + 95*k**3 - 42*k**3 - 82*k**2 - 2*k + 79*k**2 in the form r*k**4 + m + u*k**3 + f*k**2 + o*k and give u. 53 Rearrange ((s + 3 - 3)*(13 + 3 - 28) + s - 4*s + 6*s)*(14 - s - 14) to the form p*s + u + t*s**2 and give p. 0 Express -g**3 - 55 + 2*g**2 - 54 + 3*g - 45 + 237 - 57 as x + s*g + c*g**3 + n*g**2 and give n. 2 Express 4*s**3 + 6*s**2 + 4*s - 9*s**2 + 0*s**2 - 37*s**3 - s**2 as a + t*s + g*s**2 + d*s**3 and give t. 4 Rearrange -18*x**2 - 35 + 35 + (x**2 + 2*x**2 - 4*x**2)*(-123 - 309 + 34) to the form r + g*x**2 + n*x and give g. 380 Express 0*v + 9*v - 2*v + (-7 + 7 + 2*v)*(11 + 26 + 9) - 2 + v + 3 - 2*v as m + f*v and give m. 1 Express 26 - 87*g**2 + 17 - 50 as j*g**2 + t*g + q and give j. -87 Express (5*d**3 - 39*d**3 - 58*d**3)*(-7 - 5 + 1)*(0*d + d + 8*d + (1 + 2*d - 1)*(1 + 1 + 0) - d + 1 - 1) as f + x*d**3 + s*d + o*d**4 + q*d**2 and give x. 0 Express (0*d**3 + 5*d**3 - 10*d**3)*(214 - 714 - 631) in the form t*d**2 + z + u*d**3 + v*d and give u. 5655 Rearrange (-418*p - 375*p + 1131*p)*(-3 - 1 - 8) to the form n*p + w and give n. -4056 Express (4*n**2 - n**2 - 5*n**2)*(-n + 3*n - n) + 3194*n**3 + 1337*n**3 + 2329*n**3 as t*n**3 + m*n**2 + c*n + o and give t. 6858 Rearrange 41544*n**3 - 83087*n**3 + 41545*n**3 + 4978 to p*n**3 + r*n + h*n**2 + b and give b. 4978 Rearrange 2666 - 541*o + 2670 - 1669*o - 5335 to the form k*o + m and give k. -2210 Express (3020 - b**2 - 3018 + 0*b**2)*(-15*b - 10*b + 49*b) as j*b**2 + m*b + i*b**3 + n and give i. -24 Express (-4*j + j + 5*j)*(-1054*j - 1777 + 1777 + (-2 + 2 - 1)*(-2*j + 2 - 2) + 102 - 102 + 13*j) as b*j + u*j**2 + f and give u. -2078 Rearrange (-w - w + 4*w)*(1 + 4 - 3) + w + 0*w + w + w - 430758 + 430758 - w - 12 + 12 to a*w + b and give a. 6 Express -10*h - 1 + 6*h**2 - 54*h + 3*h**3 + 61*h - 3*h**2 as y + t*h**3 + g*h + j*h**2 and give g. -3 Rearrange 0*h - 2157 + h + 3850 + 2382 to y + l*h and give l. 1 Rearrange -6157*g**3 - g**4 + g + 6168*g**3 + 26*g**2 - 24*g**2 to j*g**2 + o + b*g**3 + h*g + r*g**4 and give h. 1 Rearrange -74*p**2 - 113*p**3 + 3 + 4*p + 4*p + 73*p**2 - 4 - 2*p to the form x*p**2 + u + s*p**3 + r*p and give s. -113 Rearrange 8*f**4 + 252 - 132 - 111 - f**2 - 62*f**4 to o + k*f**2 + x*f**3 + i*f**4 + m*f and give i. -54 Express -29*c**2 - 1360*c**3 - 2*c - 138*c**2 - 1 + 1357*c**3 as u*c**2 + z*c + a + v*c**3 and give a. -1 Express (9*f + 8*f - 6*f)*(338 + 870 + 202) in the form y + i*f and give i. 15510 Rearrange -2334356*w**4 + 12 - 8*w**3 + 2334358*w**4 + 7 to the form v*w**3 + j*w**4 + u*w + a + b*w**2 and give j. 2 Rearrange 1255*n**2 - 2491*n**2 + 39 - n + 0*n + 1235*n**2 to the form x*n**2 + t*n + b and give x. -1 Express 10*y**3 + 5*y**3 + 5*y**3 + (4 - 2 - 4)*(3*y**3 - 6*y**3 - y**3) as u*y**2 + x*y + k + n*y**3 and give n. 28 Express (0*w + 3*w - w)*(5651*w**2 - 157898*w + 157898*w) in the form r*w**2 + m*w**3 + g*w + d and give m. 11302 R
{ "pile_set_name": "DM Mathematics" }
e 6/72*6 + (-540)/72 + 30. 23 What is 4142710/(-764808) - -10*(0 + 2)/4? -5/12 Evaluate (-18)/7 + 3132500/(-43855). -74 What is the value of (58/18)/(1190/(-2142))*-5? 29 What is ((-488)/(-82) + -6 + 513/2952)*(7 - 93)? -43/4 Calculate 2/11*(-1 - (2 + -2)) + (-270)/(-396). 1/2 What is (3 - 0) + -10 - (-63*36/162 + -1)? 8 What is 39596/1178 + 1356/3503? 34 4408/(-116) + 61 - (-4 + -69 + -1) 97 Evaluate 3447*(-1)/115 + 54972 + -54942. 3/115 Evaluate 11 - ((-1278)/162 + 9 - 775/(-10170)*130). -2/113 What is the value of 288/96*(14 - 15)/1? -3 Evaluate 17680/(-510)*360/195. -64 Calculate ((-11)/(-2))/((-37)/(-1184)*56). 22/7 Calculate 9*258/(-216) - (-14)/2 - 2/1. -23/4 What is (-62304)/177*84/462? -64 Calculate (-78 + 151 - 57) + 818/(-51). -2/51 2 - 99/48 - 27084/(-16576) 11/7 What is ((-329)/987)/((-27)/7290)? 90 What is (-8)/(-3)*(12 - (48 + -48))? 32 (-2 - -10)/(-1 + -1)*(-14794)/(-22760) -13/5 What is the value of ((-750)/8)/((-10690)/8552)? 75 Evaluate -3*((-7)/((-6020)/(-80)))/(-8 + -5 + 9). -3/43 Evaluate (-2349)/(-174)*(-12)/297. -6/11 Calculate 1014/78 + (2838/(-126) - -10). 10/21 What is (13/(-16))/(3322/53152)? -13 ((-20)/22)/((16/(-1848))/((-13)/273)) -5 What is 114 + (21933536/(-2091))/92? -2/123 Evaluate 1*36 - (-1442 - -1428). 50 Evaluate -4 + -2 + (-11550)/(-1848). 1/4 (2 + 5/(-3)*3)*1*48/18 -8 (-6)/(-4)*(1152/(-480))/(-2) 9/5 What is the value of (-39840)/(-6225) - (-14)/(-10)? 5 What is the value of (68/(-36)*(-1986)/11254)/((-1)/141)? -47 What is 324*(-91)/273 + 36? -72 (325 + -321 - (-4 - 56)/1) + 15 + -1 78 Calculate -23 + ((-156)/117 - 15036/(-612)). 4/17 Evaluate (-51796)/13512 - 563/(-6). 90 What is (11 - (-2054)/(-195))*960/704? 7/11 Evaluate 8113 - 8213 - 83*-1. -17 Evaluate 6*((-18)/16 - -1)*(-17)/(-238)*-8. 3/7 What is the value of 1680/(-672) + (-1064)/(-16)? 64 Calculate (-2832)/(-4602)*((-3)/6 - 1). -12/13 424/(-150) + (-290)/(-10875) -14/5 Calculate 12/18*282/(-1504). -1/8 What is the value of 3 - (-4)/18 - (-5)/(1170/104)? 11/3 Calculate 1785/(-42) + 1590750/37500. -2/25 What is -18*(22224/432 + -49)? -44 What is 23/(-207)*-222*((-15)/10 + 6)/3? 37 Evaluate (181/((-1991)/(-22)))/(2/(-12)). -12 What is the value of (-8)/140 + (-13)/143*(-1584)/1540? 2/55 What is the value of (-3)/8*((-30784)/234)/74? 2/3 What is the value of (-2410250)/314732 - 420/(-55)? -1/46 What is the value of 2*9*1229/339204? 3/46 (13 + -1)*(-3113)/9056*(-6 - -2) 33/2 64 + (1976/6422 - 381/13) 35 What is ((-10)/105)/(7 - 9) + (-29 - 100568/(-3549))? -8/13 Calculate ((13 + 2945/(-228))/((-2)/(-6)))/1. 1/4 What is the value of 8/22 + 22078/(-95865)? 2/15 What is ((-2)/(-74))/((-3697)/14788)? -4/37 What is the value of (-32)/(-448)*(-21)/2 + -8? -35/4 What is ((1528912/23205)/(-292))/((-4)/30)? 22/13 What is the value of 34/8*1/(((-48)/(-256))/(6/(-8)))? -17 Calculate ((-160)/40)/(-37 + -17 + 84). -2/15 What is the value of (-18 + (-3770)/(-117) - 18)/((-4)/36)? 34 What is (-14 + (-14935)/(-824))*(-10)/(-55)? 3/4 562 - 553 - (3 + (-4)/24*-4*66) -38 (715 - 731) + (-186)/6 -47 What is the value of (-846)/36660*195*(-44)/6? 33 121/363 - (0 - (-4)/11) -1/33 Calculate (((-4)/40)/(44/10))/(127/(-6096)). 12/11 2 + (-30)/12 - (520/64 - -3)*-4 44 Evaluate -101 + 122 + -105 + 67. -17 What is (340/(-36))/((-14)/(-12)*490/(-5145))? 85 (-66)/28 + 6984/8148 -3/2 What is 2/8*38*(-140)/(-266)*-10? -50 What is the value of (-9)/(1872/2576) + (-195)/(-15)? 8/13 Calculate (-14)/12 + (-10494)/1188 + (3468/(-498) - -17). 3/83 (-190)/(-120)*-9 - 67/(-268) -14 Evaluate (-97 + 50)*1785/(-1645). 51 What is (189/(-42))/(1/((-6)/2 - -1))? 9 567/(-5292) + (-16270)/(-280) 58 Evaluate (68112/(-4472))/((-27)/(-117)). -66 What is the value of (-189 - -192)/(7/(-56))? -24 (271/9 + 392/(-3528))*1 30 What is the value of (-4)/((-118)/1 + 0)*(138/3 + -47)? -2/59 Evaluate 184/260 - (91 - 33069/365). 4/13 What is (1178/(-76))/((-1 - 14/(-21)) + 28/(-42))? 31/2 What is the value of (-9 + 750/(-20))*24/18*(-1)/(-2)? -31 What is (-55472)/20802*(-9)/(-272)? -3/34 What is (-10)/(-3) + 181641/(-8595) - (0 + -7)? -54/5 35*((-210)/110 + 2)*18/(-63) -10/11 ((-89)/(93984/(-192)))/(12/22) 1/3 (-4)/(-12 - (-376)/32) + 13 29 Evaluate (3/(-4) - 1432/(-1568))*(-10 - 1161/(-86)). 4/7 (5/(-6) + 1 + 10220/(-168))*3837/(-2558) 91 Evaluate (-10403)/106050 + 6/84. -2/75 4/(12/9)*(-790 - -791)/(1/(-7)) -21 Calculate ((-831)/(-7756))/(8/(-96)). -9/7 (140/56)/((3/28)/(-3*6/12)) -35 What is ((-51)/(-12) - 8036/2352)*(-2 + 2 + 60)? 50 Evaluate (3/15)/((21525/82)/(-105)). -2/25 Calculate 48/(-1152)*-52*-24. -52 Evaluate (146 + -46 + 5 + -1)*(-353)/(-706). 52 What is the value of 1728/(-3168) - (-2228)/4004? 1/91 Evaluate 3065/613*((-1)/4*4/(-13))/15. 1/39 What is 459/(-255)*(949/(-292) + 4/2)? 9/4 What is (-3288)/(-7398) + (-275)/(-9)? 31 Calculate ((-29168)/125787)/(2 + 2). -4/69 Calculate (-39721)/(-314) + -245 - (-29)/(-2). -133 Evaluate (-4020050)/(-10232165) - 4/(-142). 8/19 What is the value of ((-8530)/(-114))/5 - -23*(-1200)/1840? -2/57 Calculate (5/(-85))/(4/34)*(4/2 - 76). 37 (1/(-15))/((-855192)/(-7020) - 122) 3/8 Calculate (-16)/7*(170940/240)/(-37). 44 (-27)/(-30)*(-6 - -1)/(405/135) -3/2 Evaluate (-1252)/(-4695) - ((-17407)/(-195) - -5). -94 Calculate ((-4560)/(-20))/19*(3045/(-434) + 7). -6/31 Evaluate 12 + (4/(-7*(-76)/11305) - -1). 98 What is the value of (((-15)/6)/(-1))/(40/416)? 26 What is the value of 164/240 - ((-2465)/(-1275) + (6/(-2) - -1))? 3/4 (3 - (-16)/(-3))/(7399/25368) -8 Calculate (1 - 15)*56793/(-37862). 21 What is the value of 64/1920*(-5)/((-25)/(-28)) - (-4)/(-30)? -8/25 (68/(-357))/(-11*(-42)/(-539)) 2/9 Calculate 651/(-91) + 7 - ((6224/26)/4 - 1). -59 Evaluate (-7 - (1 - 39) - -14)/1. 45 What is the value of (-4)/59*(-8382)/(-11176)? -3/59 Calculate 0 + (-82)/(-336) + (-56)/196. -1/24 Evaluate (-5410)/135 - 118/(-1593). -40 What is the value of 27/((-999)/(-1295)) - 11? 24 Evaluate (-265)/(-7420)*(45/5 + -11)*1/(-2). 1/28 22*3973/3509 + -25 -1/11 Evaluate 332/2490*(-99)/(-6). 11/5 Calculate (-290)/2806 - ((-897204)/4697 - -191). -2/23 (-2)/(-40) + ((-22631)/7420 - -19) 16 What is (8 + (-194 - 23))*((-965)/(-55) - 17)? -114 What is the value of (231/198 - (-9)/27)/(18/16)? 4/3 What is ((-263261)/(-1618092) + 4/126)*1/77*-2? -1/198 What is the value of (124 - 74) + (-952)/17? -6 Evaluate 135/770 + -62*(-11)/3751. 5/14 Calculate ((-22)/12 - (-943)/246)*(1 + 24/(-2)). -22 (4/32 + (-57567)/6200 - -9)*-1 4/25 Calculate ((-160732)/197824)/((-26)/(-72)). -9/4 What is (19/570)/(1928/(-1205))? -1/48 278/(-19043) - (-7533)/225091 1/53 Calculate 8/(-18) + (9760/(-2340))/(-8). 1/13 Evaluate ((-4)/(-52) + 1517/(-962))/((-99)/44). 2/3 Calculate (-29)/(7308/(-315))*64. 80 What is the value of (-33880)/(-968) + (-82 - 3)? -50 What is (6 + (36925/180)/(-35))/((-585)/(-312))? 2/27 What is 1*69/184 - (-95)/2*(-817)/105780? 1/123 What is the value of -22 + (-66896)/(-2880) - (-3 - (-21)/5)? 1/36 (-6)/(-2) - (((-48)/42)/4)/((-66)/9702) -39 What is the value of -11 + (15 - 6) - (-15)/(3330/456)? 2/37 Evaluate 92/368*216 - 20. 34 Evaluate 65320/3841 - 119/(-35)*-5. 1/167 Calculate -75 + (84 - 24) - -16. 1 What is the value of (-406440)/(-366925) - (-4)/(-13)? 4/5 What is ((-12)/100)/(61/(-90) - 834/3753)? 2/15 Evaluate 9 + -12 - (-29 + 28620/1100). -1/55 (-118)/(-1003)*918*2/9 24 Evaluate -17 + (-2668)/(-161) - (-371)/(-735). -14/15 Evaluate 3/11 + 1450304/58652. 25 What is the value of -106*143/(-45474)*(2 - 1)*-8? -8/3 What is (-3828)/(-154)*(5 - (-176)/(-24))? -58 Evaluate 25 + (-54990)/546 + 75. -5/7 680/(-425)*(-2975)/(-140) -34 What is the value of (((-275)/33 + 9)*(6 + -5))/(52/(-42))? -7/13 -1*((61/(-410))/1 - 30/(-300)) 2/41 (-7)/2 + (-791)/(-452) + 1/(-8) -15/8 What is the value of ((-594)/(-51))/33 - (-3690)/(-51)? -72 Calculate -8 + 3 - (-2 + 10/4)/(1 - 2). -9/2 What is the value of (1012/(-161) - (-1320)/308)*12/(-39)? 8/13 Evaluate (-45)/(-75)*((-703)/222)/(2/20). -19 Evaluate (-1)/6*3 - (30/(7920/(-6716)) + 25). -2/33 What is 190/(-80)*(432/45)/6? -19/5 ((-424)/20)/(-120 + 20434/170) -106 What is (-96)/(-646272)*-3604 + -2*((-90)/44 + 2)? -4/9 Evaluate 462/13090*(-200)/(-15). 8/17 What is the value of (-5)/30*8/(-64)*-12? -1/4 Evaluate (-4)/6 - 348076/(-6036). 57 6/(-39) + 0
{ "pile_set_name": "DM Mathematics" }
8091 List the prime factors of 311843. 7, 44549 List the prime factors of 215853. 3, 11, 31, 211 What are the prime factors of 1509821? 17, 88813 What are the prime factors of 1978499? 547, 3617 List the prime factors of 259581. 3, 7, 47, 263 What are the prime factors of 1686852? 2, 3, 15619 What are the prime factors of 57104? 2, 43, 83 What are the prime factors of 434227? 67, 6481 What are the prime factors of 385674? 2, 3, 64279 List the prime factors of 91735. 5, 7, 2621 What are the prime factors of 1553107? 1553107 List the prime factors of 7920. 2, 3, 5, 11 What are the prime factors of 25546118? 2, 13, 953, 1031 What are the prime factors of 3451112? 2, 7, 61627 List the prime factors of 9465975. 3, 5, 42071 What are the prime factors of 8204146? 2, 23, 178351 What are the prime factors of 7157840? 2, 5, 131, 683 What are the prime factors of 615786? 2, 3, 29, 3539 List the prime factors of 118364. 2, 127, 233 List the prime factors of 255012. 2, 3, 79, 269 What are the prime factors of 3194866? 2, 1597433 What are the prime factors of 4929672? 2, 3, 11, 71, 263 What are the prime factors of 10604557? 1259, 8423 List the prime factors of 37176105. 3, 5, 2478407 What are the prime factors of 3368810? 2, 5, 23, 97, 151 List the prime factors of 866185. 5, 191, 907 List the prime factors of 123359. 281, 439 What are the prime factors of 16746663? 3, 181, 30841 What are the prime factors of 796837? 577, 1381 What are the prime factors of 212902? 2, 106451 What are the prime factors of 376560? 2, 3, 5, 523 What are the prime factors of 759318? 2, 3, 7, 101, 179 List the prime factors of 1221964. 2, 41, 7451 What are the prime factors of 9386447? 7, 491, 2731 What are the prime factors of 3915354? 2, 3, 652559 What are the prime factors of 17258812? 2, 4314703 What are the prime factors of 10584448? 2, 7, 11813 List the prime factors of 11563. 31, 373 List the prime factors of 404409. 3, 23, 5861 What are the prime factors of 329809? 31, 10639 List the prime factors of 25374340. 2, 5, 157, 8081 List the prime factors of 270978. 2, 3, 19, 2377 What are the prime factors of 17736832? 2, 138569 List the prime factors of 6833310. 2, 3, 5, 11, 20707 List the prime factors of 405627. 3, 135209 List the prime factors of 583403. 583403 List the prime factors of 1751908. 2, 437977 List the prime factors of 61645. 5, 12329 List the prime factors of 265775. 5, 10631 List the prime factors of 14879. 14879 What are the prime factors of 5658896? 2, 353681 List the prime factors of 784972. 2, 29, 67, 101 What are the prime factors of 1465375? 5, 19, 617 What are the prime factors of 5257926? 2, 3, 97369 List the prime factors of 18032887. 139, 129733 What are the prime factors of 651839? 651839 List the prime factors of 32531796. 2, 3, 11, 113, 727 What are the prime factors of 4868124? 2, 3, 405677 List the prime factors of 1388325. 3, 5, 107, 173 What are the prime factors of 8399687? 8399687 List the prime factors of 82217. 82217 What are the prime factors of 3559137? 3, 17, 19, 3673 What are the prime factors of 1754701? 13, 43, 73 What are the prime factors of 453534? 2, 3, 269, 281 List the prime factors of 133756. 2, 7, 17, 281 List the prime factors of 18224196. 2, 3, 131, 11593 What are the prime factors of 1363527? 3, 11, 4591 What are the prime factors of 11014640? 2, 5, 7, 13, 17, 89 List the prime factors of 1885785. 3, 5, 11, 1039 What are the prime factors of 3252980? 2, 5, 162649 What are the prime factors of 674027? 47, 14341 List the prime factors of 877711. 233, 3767 List the prime factors of 1658620. 2, 5, 127, 653 List the prime factors of 7796712. 2, 3, 7, 11, 4219 List the prime factors of 1557504. 2, 3, 13 List the prime factors of 25009583. 79, 316577 What are the prime factors of 2014484? 2, 503621 List the prime factors of 555924. 2, 3, 46327 What are the prime factors of 190207? 190207 What are the prime factors of 5047725? 3, 5, 17, 37, 107 List the prime factors of 743042. 2, 103, 3607 List the prime factors of 2846562. 2, 3, 67, 73, 97 What are the prime factors of 41335424? 2, 13, 24841 List the prime factors of 97447. 7, 13921 What are the prime factors of 4396270? 2, 5, 61, 7207 What are the prime factors of 1010051? 7, 313, 461 List the prime factors of 98790. 2, 3, 5, 37, 89 What are the prime factors of 4235804? 2, 1058951 List the prime factors of 509585. 5, 101917 What are the prime factors of 9848418? 2, 3, 1641403 List the prime factors of 5988129. 3, 7, 47, 6067 List the prime factors of 23041867. 23041867 List the prime factors of 900804. 2, 3, 271, 277 List the prime factors of 157775. 5, 6311 List the prime factors of 564077. 17, 33181 What are the prime factors of 1460890? 2, 5, 139, 1051 List the prime factors of 28839183. 3, 9613061 What are the prime factors of 28294042? 2, 7, 2021003 List the prime factors of 8370579. 3, 7, 17, 23447 List the prime factors of 14751351. 3, 103, 15913 List the prime factors of 8488809. 3, 7, 19249 List the prime factors of 7694671. 7694671 What are the prime factors of 1045970? 2, 5, 104597 What are the prime factors of 591912? 2, 3, 8221 List the prime factors of 1067661. 3, 7, 269 List the prime factors of 13337285. 5, 13, 31, 6619 List the prime factors of 2293530. 2, 3, 5, 89, 859 List the prime factors of 6250041. 3, 7, 73, 151 List the prime factors of 241412. 2, 60353 List the prime factors of 30742662. 2, 3, 5123777 What are the prime factors of 237010? 2, 5, 137, 173 List the prime factors of 2252622. 2, 3, 41, 9157 What are the prime factors of 28630? 2, 5, 7, 409 What are the prime factors of 5982488? 2, 747811 List the prime factors of 2900472. 2, 3, 17, 7109 What are the prime factors of 13031895? 3, 5, 868793 List the prime factors of 596950. 2, 5, 11939 List the prime factors of 452112. 2, 3, 9419 List the prime factors of 633623. 633623 List the prime factors of 1960321. 11, 17, 953 List the prime factors of 13896001. 7, 67, 29629 What are the prime factors of 341470? 2, 5, 34147 List the prime factors of 1302081. 3, 11, 17, 211 What are the prime factors of 14882110? 2, 5, 1488211 List the prime factors of 927631. 927631 What are the prime factors of 5983783? 13, 35407 List the prime factors of 1330352. 2, 17, 67, 73 List the prime factors of 621910. 2, 5, 62191 What are the prime factors of 222395? 5, 19, 2341 What are the prime factors of 34753689? 3, 3861521 List the prime factors of 6260633. 19, 109, 3023 What are the prime factors of 132267? 3, 44089 What are the prime factors of 2487598? 2, 109, 11411 List the prime factors of 26191796. 2, 223, 29363 List the prime factors of 16787831. 16787831 What are the prime factors of 1435913? 23, 149, 419 What are the prime factors of 4954574? 2, 337, 7351 List the prime factors of 614511. 3, 68279 List the prime factors of 463170. 2, 3, 5, 15439 List the prime factors of 69157. 11, 6287 What are the prime factors of 864368? 2, 89, 607 What are the prime factors of 380261? 7, 54323 List the prime factors of 23087219. 29, 31, 61, 421 What are the prime factors of 697268? 2, 11, 13, 23, 53 List the prime factors of 10117519. 19, 532501 What are the prime factors of 211347? 3, 23, 1021 What are the prime factors of 1501627? 17, 19, 4649 What are the prime factors of 1223747? 7, 174821 List the prime factors of 187897. 187897 What are the prime factors of 1078508? 2, 79, 3413 List the prime factors of 129097. 129097 List the prime factors of 1898659. 7, 29, 47, 199 List the prime factors of 124013. 19, 61, 107 List the prime factors of 14661905. 5, 17, 181, 953 List the prime factors of 17697359. 37, 97, 4931 List the prime factors of 478171. 478171 What are the prime factors of 137291? 7, 11, 1783 List the prime factors of 590218. 2, 43, 6863 List the prime factors of 273682. 2, 136841 What are the prime factors of 5824422? 2, 3, 323579 What are the prime factors of 4145729? 7, 47, 12601 List the prime factors of 2252632. 2, 281579 List the prime factors of 2531189. 2531189 List the prime factors of 3826279. 3826279 List the prime factors of 311426. 2, 31, 5023 List the prime factors of 7003644. 2, 3, 31, 67, 281 List the prime factors of 91559. 13, 7043 List the prime factors of 676444. 2, 169111 List the pr
{ "pile_set_name": "DM Mathematics" }
be (-12)/5 - (-3)/(-5). Let w be ((-6)/b)/((-8)/38). Which is greater: w or -10? w Let t = -57597/121 - -476. Which is smaller: -1 or t? -1 Let f be -75*(2/(-5) + 224/210). Which is smaller: -4 or f? f Let s = 987 - 988. Let m(x) = x**3 + 3*x**2 + 1. Let o be m(-3). Let k = o + -2. Is k at most as big as s? True Let y(r) be the first derivative of -3*r**2 - r - 16. Let t be y(-3). Which is smaller: -0.2 or t? -0.2 Let p be (1333/(-14) - -1) + (-694)/2429. Is -95 equal to p? False Suppose 3*f + 5*w = -2*f - 35, -5*w - 25 = 0. Let l be (2/4)/(f/(-4)). Let s be (-152)/32*4*l. Is -19 smaller than s? False Let n = -7 + 7.1. Let f = -13 + 2. Let j = f + 10.91. Which is smaller: j or n? j Let o be 0 + 0 + (-4)/29. Suppose 7*a - 8 = -a. Is a < o? False Let p(c) = c**3 - 15*c**2 - 31*c + 243. Let w be p(16). Let a = -14 - -26. Is a smaller than w? False Let m be 4/2 + (3 - 3/(-3)). Let v be 60/42*28/8. Which is bigger: v or m? m Let z = 2817.097 + -2821. Let w = -0.097 + z. Let f be 19/(-15) - (-2)/3. Which is smaller: w or f? w Let g = 0 + 4. Let p = 38 + -37. Let n be p - g - (0 - 4). Is n <= 1? True Let n be ((-98)/637)/(-2 - -2 - -2). Does n = -19? False Let y be 68/10 - (-4)/20. Let g be (y - 0)*(-24)/(-42). Suppose -g*k = -5*h - 13, 1 = 2*h + 3. Which is bigger: 3 or k? 3 Suppose 4*a - 360 = -o, -7*a + 2*a = 4*o - 450. Let g be (a/27)/(2/(-3)). Let l(s) = s**3 - 2*s**2. Let x be l(2). Does g = x? False Let a = -21 + 10. Let m = -3 - a. Is 1 greater than or equal to m? False Let n = -58 + 1168. Let t = -81032/73 + n. Is t > -1? True Let h(x) be the first derivative of -x**4/4 - 2*x**3/3 - 3*x**2/2 - 3*x - 7. Let m be h(-2). Suppose -8*r - m = -5*r. Is -1 at least as big as r? True Let d = 18711 - 299377/16. Let i = 3 + -1. Which is smaller: i or d? d Let u(b) = b**3 + 13*b**2 + b - 32. Let x be u(-13). Which is bigger: x or 5? 5 Let c be (-6)/(-114)*22/4. Let n = c + 4/19. Let m = 0.542 + 0.058. Is n bigger than m? False Let y = -0.148 + 11.148. Which is bigger: -0.03 or y? y Let v = -8 + 3. Let j be ((-5)/5)/((-1)/3*-1). Which is smaller: v or j? v Let z be (-75)/(-168) - (-216)/(-378). Is z bigger than -18/5? True Let k be (-3)/51*-2 - (-19981)/1972. Which is greater: 10 or k? k Suppose 14 - 12 - 2 = 20*j. Let n = 0 - -2. Which is smaller: j or n? j Let t(x) = -59*x + 289. Let z be t(5). Which is smaller: z or 74? z Let c be (3/9)/(3/9). Let z be (27/(-15))/(9/(-30)). Let y(p) = p**2 - 9*p + 18. Let k be y(z). Which is smaller: k or c? k Let u = 29.49 + -31.49. Which is smaller: u or 242? u Let n be (-3)/(-3)*(3 + -1). Let u(o) = 10*o - 2. Let h be u(n). Let s be (6/(-18))/(21/h). Which is greater: s or -0.1? -0.1 Let j = 126972/3619 + -386/11. Let v = j - 648/1645. Which is bigger: -13 or v? v Let l = -1028 + 1027.9476. Which is smaller: -1 or l? -1 Let m be 3/(-4) - 2/(-2). Let g = 15 - 10. Suppose -b + 2*i = -g, -2*i - 7 = -3*b - 0*b. Do b and m have the same value? False Let d = -267717641/31 + 8636907. Let m = 854 - d. Is m > -1? True Suppose -5*t = 2*b - 16, 9*b - 40 = 13*b - 2*t. Let z(x) = -x**2 - 2*x - 1. Let m be z(-2). Is m greater than or equal to b? True Let o be (0 - 15/21) + 20/(-70). Which is smaller: 117 or o? o Let s = -10 - -14. Suppose 0 = -4*b - 7 - 9, -4*b + 56 = -s*h. Let y = h + 11. Which is smaller: y or -8? -8 Let y(x) = -x**2 - 11*x - 16. Let b be y(-7). Let f be 2/(-4) - -3*(-26)/b. Let r(t) = t - 1. Let g be r(-4). Which is bigger: g or f? g Let u(x) = 2*x**3 + 79*x**2 + 115*x + 39. Let o be u(-38). Is o smaller than -2/77? False Suppose x + 0*x = -5, -5*q - 30 = 2*x. Let p = 101 + -104. Which is bigger: p or q? p Let x(d) = d**2 + 50*d - 485. Let z be x(10). Is 115 >= z? True Let u = 0.03 - 0. Let g = -0.19 + 0.2. Let s = u + g. Which is greater: s or 3? 3 Let l be (13*6/(-12))/((-31)/(-1)). Is 0 not equal to l? True Let x be (1648/144)/((-4)/(-36)). Which is smaller: x or 96? 96 Suppose 940*m - 930*m = -3280. Is -327 bigger than m? True Let s be -203 + 198 - ((-22)/5)/(-2). Which is smaller: -3 or s? s Suppose d + 3*d - 12 = 4*t, 5 = -t. Let j be (1 + -3)/(-18)*d. Let f = 15 - 10. Is f smaller than j? False Suppose -4*y = y + 15. Let h(t) = 4*t + 8. Let n be h(y). Let r be -3 + 1 + -4 + 2. Is n at least r? True Let x = 73/12 + -65/6. Is -0.1 greater than x? True Let a(b) = b**3 + 3*b**2 + b + 2. Suppose 4*j - 16 = 5*t + 64, -3*j = -2*t - 39. Let c(w) = -w**2 - 11*w + 9. Let h be c(t). Let o be a(h). Is o at most -1/34? True Suppose 9*x = 14*x - 20, -3*q + 19 = -2*x. Which is greater: q or -7? q Let l be 322/2 + (96/(-16) - -7). Is l >= 162? True Let t be 1 + -4*3/(-12). Let r(x) = -3*x**3 + x**2 + x - 2. Let j be r(t). Let u(s) = -s - 21. Let i be u(0). Which is bigger: i or j? j Let z = -607 - -594. Which is smaller: -188/13 or z? -188/13 Let y = -143 - -6. Which is greater: y or -139? y Let f = 339 + -1022/3. Which is smaller: f or -1? f Let p(t) = t**2 - 14. Let r be p(-4). Suppose -r*w + u = 43, 0*w + 4*u = 3*w + 77. Which is bigger: w or -20? w Let h(z) = z**3 - z**2 + z + 10. Let r be h(0). Let p be (33/(132/(-40)))/(-1). Is p equal to r? True Suppose -6*q = 311 + 121. Which is smaller: q or -73? -73 Let d = 88383/4 + -21879. Is d smaller than -1? False Let f(i) = 2*i**2 + 2*i. Let s be f(-6). Suppose 3*a + 5 + 3 = 2*y, 4*y + 5*a = s. Suppose 8*v = y*v - 18. Is v less than or equal to 10? True Let s be 1/((-1450)/5960 + (-3)/(-12)). Is 149 smaller than s? False Let u(w) = 21*w + 132. Let f be u(-7). Do -10 and f have different values? True Let j(b) be the second derivative of b**4/12 + 5*b**3/6 - 4*b**2 - b. Let m be j(-6). Suppose 49*o - 7*o = -42. Is o less than or equal to m? False Let n = -13.9792 - 0.0208. Which is bigger: -4/7 or n? -4/7 Suppose 3*n - g - 61 = 0, 6*n + 4*g - 50 = 4*n. Let k be (4/6)/((-14)/n). Is 2/317 not equal to k? True Suppose -82 = -15*l + 13*l - 5*d, 3*l - 85 = 2*d. Is 32 < l? False Let c be ((-2)/(-4))/(40/80). Is c at least 2/2371? True Let g be -7 + 0 + 64/8. Is 3/392 < g? True Let y = 19 - 38. Let x = y - -27. Is 8 greater than x? False Let u(z) = -3*z - 29. Let x be u(-9). Let j = x + 0. Let g = -0.6 - -0.56. Is j < g? True Let a be ((-290)/60)/(-29)*2/(-1). Is -0.29 != a? True Suppose 21 = -3*r - x + 4*x, r = -4*x + 18. Let z be (r/(-236))/(2/(-6))*-2. Is -1 at least as big as z? False Let p = -9 - -238/27. Is p at least -1? True Let q = 0.0048 - 100.3048. Let l = 101 + q. Which is bigger: -1 or l? l Let g be 756/(-1611)*34/4 - -4. Which is smaller: -2 or g? -2 Suppose 63 - 165 = -51*d. Which is greater: -2/87 or d? d Let r be 0/(-5) - (-3)/(18/2148). Is r at least as big as 2/3? True Let v = 0.9845 + 0.0155. Is v < 1/82? False Suppose 10*d - 7*d = 4*o + 156, -o - 56 = -5*d. Which is smaller: o or -34? o Let g = -45 - -72. Let n = g - 27. Suppose -4*r + n = -40. Is r != 10? False Let f be (2 - -2) + (-26576)/6656. Is 1 at most f? False Suppose -5*f + f = -8. Suppose f - 5 = -3*u, -5*o + u = 51. Which is bigger: -35/4 or o? -35/4 Let l = 0 - 1. Let b(n) = n**2 - 5*n - 5. Let r be b(6). Let u be (-56)/48 + r/2. Which is greater: u or l? u Suppose 0 = 2*w - r + 167 - 52, w = -r - 65. Is -61 > w? False Let j be (426 - 3)*3*(-6)/54. Are -141 and j equal? True Let y = 5.74 + -5.68. Is y < 3/44? True Let t be (-96)/(-288) + ((-106)/(-132) - 1). Let x = 4 + -4. Suppose 3*z + 15 = x, -3*k = -3*z - 2*z - 28. Is t at most as big as k? True Let g = 21.68 - 22. Let p = g + 0.32. Which is smaller: p or -18? -18 Let y(p) be the third derivative of -p**6/120 + p**5/60 + p**4/12 - p**3/6 - 3*p**2. Suppose 2*m + 10 = 4*c, -2*m + 7*m + 13 = -2*c. Let w be y(c). Is 0 > w? False Suppose -4*d = 5 - 45. Let a be (-2)/d - (273/(-15) + -1). Is a bigger than 17? True Suppose -2*d = 7*t - 9*t + 4, -5*t = -3*d - 8. Which is greater: d or 1/760? 1/760 Let s = -615/7 + 87. Let a = -8 - -7.995. Let u = a - 0.095. Which is greater: s or u? u Suppose a = 5*d - 157, -d + 59 = -a - 94. Which is smaller: a or -153? -153 Let h = -1508 + 1508. Let p = 349/348 + -5/58. Which is greater: h or p? p Suppose -a + 71 = -5*q, 2*a - 4*a = -q - 106. Which is smaller: 55 or a? a Suppose 925 = -5*r - 4*f + 5*f, 0 = -3*f. Which is smaller: -183 or r? r Let g = 71 + -711/10. Let f = -31 - -38. Suppose -h + f = -5*a, 5*a
{ "pile_set_name": "DM Mathematics" }
2 + 2*v + 2. Let a be s(7). What is a rounded to the nearest one hundred thousand? -2900000 Let h = -68.4 - -60. What is h rounded to 0 dps? -8 Let s = -0.07 - 0.03. Round s to two decimal places. -0.1 Let h = 19743.6947 - 19735. Let v = -8.819 + 0.119. Let s = h + v. What is s rounded to 3 dps? -0.005 Let c = -107122 + 107096.9945. Let h = c + 25. What is h rounded to three dps? -0.006 Let v = -50.0000063 + 50. What is v rounded to 6 dps? -0.000006 Suppose o - 168565 = -2*k, -505691 = -3*o + 2*k - 7*k. Let d = o - 247557. What is d rounded to the nearest 10000? -80000 Let o = 45058415.0000068 - 45058425. Let k = -10 - o. What is k rounded to 6 dps? -0.000007 Let j = 0.11 - -0.17. Let z = -1.64 + 1.6. Let s = j - z. Round s to 1 decimal place. 0.3 Let t = -78231 + 2231. What is t rounded to the nearest 10000? -80000 Let v = -7 + 21. Let l = v - 13.9999915. What is l rounded to six dps? 0.000009 Let q(o) = 58084*o - 5. Let g be q(6). Let k = g + -240499. What is k rounded to the nearest ten thousand? 110000 Suppose 0 = -3*m + m + 34438. Suppose o - 21781 = m. Round o to the nearest ten thousand. 40000 Let a = 48700900 - 48700903.4999967. Let w = a + 3.5. Round w to six dps. 0.000003 Suppose 1991 = -2*w - 0*w + 3*l, w - l + 997 = 0. Round w to the nearest one hundred. -1000 Let c = -32.9 + 2.9. Let i = 27.706 + 3.104. Let m = c + i. Round m to 1 dp. 0.8 Suppose k + 680005 = -4*h, -h - k - 170010 = k. Round h to the nearest one hundred thousand. -200000 Let v be (-2)/6*(-45)/3. Let m(c) be the third derivative of 107500*c**4/3 - c**2. Let n be m(v). What is n rounded to the nearest one million? 4000000 Suppose -5*m = -2*z + 1865, 0 = -z + 4*z + m - 2789. Round z to the nearest 100. 900 Let t = -16786222.0999918 + 16786227. Let i = -4.9 + t. Round i to six decimal places. 0.000008 Let t = -0.1842 - -0.21. Round t to 3 decimal places. 0.026 Let o(b) = -b**3 + 19*b**2 + 21*b - 19. Let l be o(19). Round l to the nearest one thousand. 0 Let o = 270 - 270.0218. Round o to two dps. -0.02 Let z = -0.1944 - -18.1844. Let t = -20.5 + z. Let y = t + 0.11. Round y to the nearest integer. -2 Let j = -0.27 - -261.27. Let m = -261.00121 + j. Round m to 4 decimal places. -0.0012 Suppose -8*z - 16 = 2*g - 4*z, -5*g + 5*z = -35. Suppose 7*f - g*f = -720010. Let q be 8/(-12) + f/(-3). Round q to the nearest 10000. 50000 Let i = -6 - -6.22. Let n = i + -4.32. Let h = n + 2.2. Round h to the nearest integer. -2 Let j = 9 - 15. Let b = -5.99999994 - j. What is b rounded to seven dps? 0.0000001 Let f = -7120651.511 + 7125213. Let m = f - 4559. Let c = -2.4 + m. Round c to two decimal places. 0.09 Let m = -2031.645 - -2030.6449999. Let h = -0.1 - 0.9. Let f = m - h. What is f rounded to 7 decimal places? -0.0000001 Suppose -5886 = 2*y + 324114. Round y to the nearest ten thousand. -170000 Let y = -39.000105 - -39. Round y to 5 dps. -0.00011 Let m(l) = 21271*l + 1. Let t be m(5). Suppose -a + 1616356 = t. What is a rounded to the nearest one hundred thousand? 1500000 Let s = -81 + 156. Let f = s + -40. Let k = 34.99999983 - f. What is k rounded to 7 dps? -0.0000002 Let s(n) = -95*n**2 + 4*n + 4. Suppose 3*a + 0 = 2*u + 10, -3 = -2*a + 5*u. Let h be s(a). Round h to the nearest one thousand. -2000 Let m = 4.74 + -8.3. Let j = -2.8 - m. What is j rounded to one decimal place? 0.8 Let m = 30.1 - 17. Let s = m - 16. Round s to the nearest integer. -3 Let h = -6.72 - 0.28. Let v = 7.0168 + h. What is v rounded to three decimal places? 0.017 Let p = -55 + 55.00001076. What is p rounded to six dps? 0.000011 Let f(u) = u**2 + 7*u + 6. Let p be f(-4). Let n be (3751 - 1)/(p/(-704)). Round n to the nearest 100000. 400000 Let l = 586754 + -10486754. What is l rounded to the nearest 1000000? -10000000 Let x = -23 - -22.904. What is x rounded to 2 dps? -0.1 Let w = 4414 - 4444.095. Let d = 30 + w. Round d to 2 decimal places. -0.1 Let r = -36.3 + 33. Let h = r - -3.266. Let j = h - -0.0301. What is j rounded to three dps? -0.004 Suppose -m + 3*z - 12 = 0, -2*m = 2*m - z + 4. Suppose m = -3*f - 2778480 - 10421520. What is f rounded to the nearest 1000000? -4000000 Suppose -2*x = 18 + 4. Let z = x - -16. Let k(b) = 3*b + 7. Let w be k(z). What is w rounded to the nearest 10? 20 Let r = -3.67 + -0.43. Let m = 4.0999924 + r. What is m rounded to 6 dps? -0.000008 Let m = 165.064 + -162.3. Let u = -0.064 + m. Let y = u - 2.70044. Round y to 4 decimal places. -0.0004 Let q = 60 - 84. Let o = q + 24.069. Round o to two decimal places. 0.07 Let r = -1049.148713 - -962.14871226. Let s = r - -87. What is s rounded to 7 dps? -0.0000007 Let n = -11 + 21. Let s be n/25 - (-5516533)/5. Suppose -3*d + s = -456693. Round d to the nearest 100000. 500000 Let l = -112 + 111.99999953. Round l to seven decimal places. -0.0000005 Let g(q) = q**3 + 7*q**2 + 7*q + 9. Let c be g(-6). Let z be c/(-5) - 1303/(-5). What is z rounded to the nearest 100? 300 Let z = -543.7394 - -543. Let m = 0.65934 + z. Let h = 0.08 + m. Round h to 5 dps. -0.00006 Let v = 2.4 - 2.399979. What is v rounded to six dps? 0.000021 Let v be (-2)/(-2 + 24/9). Let u be 1 + 1 + 4 + v. Suppose 23000 = u*i - 2*i. What is i rounded to the nearest ten thousand? 20000 Let f = -81310.599957 + 81304.6. Let s = 6 + f. What is s rounded to 5 dps? 0.00004 Let q = 66 - 65.9999975. Round q to six dps. 0.000003 Suppose 4 - 1 = 3*k. Let o be 250/(-1)*(-4)/k. Suppose 2*c = 3*c + o. Round c to the nearest one hundred. -1000 Let p = 2.79966 + -2.8. What is p rounded to four decimal places? -0.0003 Let r = -0.1 - -0.108. Let p = r + -0.0172. Round p to three dps. -0.009 Let g = 951 + -950.9293. Let c = g - 54.3707. Let s = c + 57. What is s rounded to 0 decimal places? 3 Let s = 0.0169 + -4.9269. Let t = s - -4.9100203. Round t to 6 dps. 0.00002 Let t be (-10)/(-3) + 3/(-9). Let d(w) = -5*w**3 + 4*w**2 - w. Let z be d(t). Round z to the nearest 10. -100 Let g = -0.21 + -8.79. Let v = 8.9999952 + g. What is v rounded to 6 decimal places? -0.000005 Let o = 0.57 - -0.13. Let w = o + -0.6964. Round w to three dps. 0.004 Let k = -49985.7949 - -49953.8. Let x = -42 + 74. Let p = k + x. What is p rounded to three decimal places? 0.005 Let z = 81.0000059 + -81. What is z rounded to six decimal places? 0.000006 Suppose -o - 822 = -u - 63, -2*u + 756 = -o. What is o rounded to the nearest 100? -800 Let y be 1920*((-60628)/3 + 1). Round y to the nearest 1000000. -39000000 Let f = 1.0406 + -1.240584. Let a = 0.2 + f. Round a to 6 dps. 0.000016 Let g be -2 + (11*-1324)/2. Let p(w) = -74*w**3 + 6*w**2 - 3*w + 2. Let s be p(6). Let h = s - g. Round h to the nearest one thousand. -9000 Let l = 14328 - -118920. Let f = 133247.9400045 - l. Let t = f - -0.06. Round t to 6 decimal places. 0.000005 Let i be -6*(-1)/(4/66). What is i rounded to the nearest 10? 100 Let p be (5/15)/((-1)/(-18)). Let j be (20/p)/((-1)/(-171)). What is j rounded to the nearest 100? 600 Let i(d) = -d + 1. Let g(y) = -133344*y + 14. Let f(o) = 2*g(o) - 20*i(o). Let c be f(6). Round c to the nearest one million. -2000000 Let b = -10485.48926 + 10485. Let k = 10.19 + -9.7. Let u = b + k. What is u rounded to four decimal places? 0.0007 Let b(z) = -803*z**3 + 8. Let j be b(-4). What is j rounded to the nearest ten thousand? 50000 Let l = -1.209796 + 1.21. What is l rounded to 5 decimal places? 0.0002 Let k = -0.94 + 0.8792. Round k to 2 dps. -0.06 Let c(g) be the third derivative of -1500*g**5 - g**4/12 - g**3/3 + 4*g**2. Let k be c(-1). What is k rounded to the nearest 100000? -100000 Let v = -0.079 + 0.07861. Round v to 5 decimal places. -0.00039 Let y = -20 + 19.906. Round y to two dps. -0.09 Suppose 0 = g + g - 75002. Let y be -4 + 5 + -1 + g. Let l be (y - 1)*12/9. Round l to the nearest 100000. 100000 Let n = -3.06 - -0.26. Let l = n - 0.1. What is l rounded to the nearest integer? -3 Let r = 2.9 + -2.45. Round r to 1 decimal place. 0.5 Let r be (-2 + -221 - 1)*-100. What is r rounded to the nearest one thousand? 22000 Let p = 117 - 45. Let q = 72.00000089 - p. Round q to seven dps. 0.0000009 Let w(q) = q**3 + 10*q**2 - 10*q + 8. Let z be w(-11). Let k(b) = -367*b**3 + 3*b. Let v be k(z). What is v rounded to the nearest one thousand? 10000 Let q = -0.8891 - -0.88. Round q to 3 decimal places
{ "pile_set_name": "DM Mathematics" }
/(-2)*64/(-12). Is 7 a factor of w(b)? True Let a(l) = -5*l**2 + l - 3. Let q be a(4). Let o = -34 - q. Let z = o + -23. Is z a multiple of 12? False Let g = -113 + 161. Is 24 a factor of g? True Suppose -r - 4*r + 1815 = 0. Does 11 divide r? True Let x(z) = -z**2 + z + 3*z**2 - z**2. Let m be x(-3). Suppose 0 = l - m - 1. Does 4 divide l? False Let m be 2/(-9) - (-176)/(-18). Let h be 10*(-1)/m*4. Suppose -t - 4 = 0, -3*s + 67 + 15 = -h*t. Is s a multiple of 12? False Let a(r) = -6*r - 5. Let c be a(-9). Is 0 + 3 + c + 3 a multiple of 11? True Suppose -f - 2*m + 12 = -14, -62 = -2*f - 2*m. Is f a multiple of 12? True Suppose 1130 = 13*l - 781. Does 17 divide l? False Suppose -20 = -9*v + 4*v. Does 9 divide (1 - -3)*13/v? False Let i(q) = -q**3 - 6*q**2 + 8*q + 10. Let d be i(-7). Suppose -14 - 55 = -d*g. Does 6 divide g? False Let w(q) be the third derivative of 0*q + q**2 + 1/120*q**6 + 1/30*q**5 - 1/24*q**4 + 0 + 1/3*q**3. Is w(2) a multiple of 12? False Suppose 5*x + 38 + 12 = 0. Let r be 2*(x/(-4) + 0). Suppose 0 = r*d - 108 + 28. Does 7 divide d? False Suppose 5*x - x - 64 = 0. Does 8 divide x? True Let u(b) = 2*b**2 + 5*b + 5. Let h be u(-2). Suppose -6*g = -h*g - 90. Is 15 a factor of g? True Let c = 0 - 2. Let x(k) = 3*k - 16 - 5*k + 10*k**2 + 15. Is 15 a factor of x(c)? False Let z be 16/3 - (-1)/(-3). Suppose -o - z = 4. Let h = o + 15. Is h a multiple of 3? True Let i(w) be the second derivative of 0 + w + 1/20*w**5 + 5/12*w**4 - 1/2*w**3 + 0*w**2. Does 14 divide i(-4)? True Suppose -4*u + 151 = 3*m, -4*m + 222 = -0*m - 5*u. Let b = m + -26. Is 2/(-9) - (-249)/b a multiple of 7? False Suppose r - 2*f = -r, -4*f = 5*r. Suppose r = 7*c - 8*c + 23. Is c a multiple of 23? True Let o = 51 - 42. Is o even? False Does 10 divide ((-13)/(65/(-30)))/(1/4)? False Suppose -6*v = -4*v - 8. Suppose 124 = v*k - 0*k. Is 12 a factor of k? False Let c be 2 + (1 - 4) - 0. Let a(j) = j**2 - j**2 - j + 15*j**2 + 12*j**2. Is 14 a factor of a(c)? True Suppose 0 = 2*u + 59 - 155. Is u a multiple of 24? True Suppose 2*d + 0*d + m + 7 = 0, 0 = 3*d - m + 8. Let n = -4 - d. Is 4 a factor of (5 - 0)*(n - -2)? False Let u be -1*3/1 + 3. Suppose u = c + 4*c - 140. Is 14 a factor of c? True Suppose 5*k = -95 - 70. Is (-3 - k/15)*-5 a multiple of 3? False Let w(z) = 2*z**2 + 2*z + 6. Let i be w(-5). Let r = 9 - -17. Let u = i - r. Is u a multiple of 7? False Is 22 a factor of 1906/6 + (-4)/6? False Let z = 56 + -31. Let n be -30*5/(z/(-6)). Is 5 a factor of 0/3 + n/3? False Let l(u) = 8*u + 4. Is 15 a factor of l(7)? True Suppose -2*z = -6*z + 12. Let o = 5 - z. Suppose -o*v = -v - 9. Is 6 a factor of v? False Suppose 5*b = -5, -b + 11 + 3 = 5*l. Suppose -3*n + 108 = -0*g - l*g, 0 = -2*g - 6. Does 11 divide n? True Let d = -111 + 120. Is d a multiple of 9? True Let o(r) = 5*r**2 - 3*r + 3. Suppose -8 = -2*l - 2. Is o(l) a multiple of 17? False Let g(o) = -5*o**3 - o**2 - o + 3. Does 41 divide g(-2)? True Is 60/8*(-12)/(-10) a multiple of 8? False Let i = -5 - -5. Suppose 46 = -4*s + 5*s - t, -5*t + 25 = i. Is 17 a factor of s? True Suppose -2*m - 3*m + 389 = -h, -288 = -4*m - 5*h. Is 36 a factor of m? False Suppose -5*i + 25 = -0*i. Suppose i*z - z - 232 = 0. Let t = 4 + z. Is t a multiple of 23? False Is 5 a factor of (2 + -3)*1*-22? False Let w(g) = 3*g**3 + 2*g**2 - 2*g + 6. Is w(2) a multiple of 7? False Suppose -3*v = 97 - 682. Is v a multiple of 13? True Suppose -5*q = -2*q. Let n = 18 + -16. Suppose -62 = -n*c - d, -4*d = -4*c - q*d + 112. Is 10 a factor of c? True Let t = 19 - 68. Let s be (4 - -2)*(2 + -15). Let f = t - s. Is f a multiple of 10? False Is (-6)/5*(-280)/42 a multiple of 4? True Let g be (-135)/(-20)*(-32)/(-3). Let x = -44 + g. Suppose -d + x = d. Is d a multiple of 8? False Let s be 7 + 2 + (0 - 1). Let v = -5 + s. Suppose -v*w = -0*w - 9. Does 3 divide w? True Let f(j) = j**3 + 10*j**2 + 8*j - 5. Let n be f(-9). Is 16 a factor of (13/n)/(5/60)? False Let b be (4/(-6))/((-8)/36). Let q(u) = -u - u + 6 + b*u - 5. Is q(7) a multiple of 3? False Let l(o) be the first derivative of -o**4/4 - 2*o**3/3 - o**2/2 - 4. Let u be l(-2). Is ((-28)/(-35))/(u/45) a multiple of 12? False Suppose -8 = 2*k + 22. Is -9*(-3 - k/9) a multiple of 6? True Let x(s) = s**2 - 27*s + 56. Does 15 divide x(26)? True Suppose -15 - 7 = -2*q. Does 2 divide q? False Suppose 2*q = -7 - 13. Let u(n) = -6*n - 12. Is 16 a factor of u(q)? True Let h be 10/(-30) + 26/6. Suppose h = j - 11. Does 8 divide j? False Let b be (-4)/6 + 46/6. Let o = 7 - 5. Suppose b*f - 19 = -2*z + o*f, 16 = 5*z + 2*f. Does 2 divide z? True Suppose f + f - 136 = 0. Does 17 divide f? True Let g(f) = f**2 + f. Suppose -5*a = -3*a. Let v be g(a). Suppose -2*q = -v*d - d - 62, 4*q = -d + 124. Is q a multiple of 13? False Let n(c) = 11*c - 99. Let t(r) = 7*r - 66. Let g(i) = 5*n(i) - 8*t(i). Let f be g(0). Let s = 50 - f. Is s a multiple of 17? True Let s = -755 - -1061. Is 17 a factor of s? True Let a(c) = c**2 - 6*c + 3. Let s(w) = -w**2 + 6*w - 3. Let j(z) = 5*a(z) + 6*s(z). Is 2 a factor of j(5)? True Let t be (2/(-4))/((-3)/42). Suppose 4*i - 5*x - 95 = -i, i + 3*x = 31. Let j = i - t. Is j a multiple of 15? True Let h(z) = z**2 - 3*z - 14. Let u(d) = d + 1. Let r(l) = -h(l) - 5*u(l). Let w be r(7). Does 22 divide -3 + 1/((-1)/w)? False Let z(g) = 7*g**2 + 23*g - 1. Let o(k) = 4*k**2 + 12*k - 1. Let s(n) = 5*o(n) - 3*z(n). Let t be s(-8). Suppose 46 - t = 2*a. Is 10 a factor of a? True Suppose 4*y - 19 = -l, 2*l + 5*y - 17 = 3*l. Does 3 divide l? True Suppose 0 = w - 2*y - 59, -4*w = -w - 5*y - 172. Does 26 divide w? False Let r = -28 - -19. Is 51/2*(-12)/r a multiple of 10? False Let d(h) = 5*h + 4. Let m be d(-8). Let u = 10 - m. Is u a multiple of 14? False Let b(l) = -l**3 - 6*l**2 - 5*l + 3. Let m be b(-5). Suppose -4*v + 4 = -m*v. Is 4 a factor of v? True Let q(h) = -h**2 + 2*h + 1. Let u be q(3). Does 9 divide (-3 - -8)/(u/(-10))? False Let w be 37/7 + 2/(-7). Suppose 0 = w*k - 3*g - 5 - 0, -11 = k - 3*g. Suppose 2*n + 3*u - 11 = 0, k*u - 5 + 37 = 4*n. Is 5 a factor of n? False Let b be (0 - -2)*(-9)/(-6). Let v(t) = 8*t + 1. Is 6 a factor of v(b)? False Let f(n) = 0*n**2 - 2 - n**2 + 2*n**2 + 0. Is f(6) a multiple of 9? False Let k(l) = 6 + 2 + l**2 - 11*l + 7. Is k(10) even? False Does 14 divide 111/4 + (-16)/(-64)? True Let o(h) = -h**3 - 6*h**2 - 8*h + 1. Let t be 51/(-7) + (-6)/(-21). Let v be o(t). Is (-2)/(-9) + v/9 a multiple of 11? False Let c(y) = y**3 + 6*y**2 + 4*y. Suppose 0 = t + 2*t + 12. Is c(t) a multiple of 4? True Suppose 5*m + 3*r = 32, -r = m - 8 - 0. Suppose b + 3*q = -1 + m, -5*b = -5*q - 15. Suppose -5*a + 3*k + 17 = 0, b = 5*k - 2. Does 2 divide a? True Let a(d) = d**3 - 6*d**2 - 7*d - 3. Let o be a(7). Does 11 divide -27*o/((-9)/(-2))? False Suppose -4 = -d + 1. Suppose -1 = -u + d. Let y(t) = -t**3 + 7*t**2 - 6*t + 7. Does 7 divide y(u)? True Suppose 1 = -4*c - 19. Let v = 1 - c. Suppose s + 3 = 4*z - v, -5*z + 24 = 3*s. Is 2 a factor of z? False Suppose y + 1 + 3 = 0. Let d be 204/(-28) - y/14. Let u = d + 35. Does 14 divide u? True Suppose -240 = -4*g - 60. Does 17 divide 1520/g + (-2)/(-9)? True Let o(j) = 2*j. Let m be o(7). Let n = m + 4. Let t = 37 - n. Is 19 a factor of t? True Suppose -5*j + 3*u = -235, -2*j - u = -0*u - 105. Is j a multiple of 7? False Let t be 10/(-35) - 270/(-14). Let r = t + 6. Suppose 3*z - x = 85, -x = z + 2*x - r. Is 15 a factor of z? False Suppose -102 = -2*r + r - 4*z, 5*r - 5*z = 485. Is 12 a factor of r? False Suppose -r - 5*q + 2*q = -75, 4*q = 2*r - 100. Is r a multiple of 15? True Let d = 97 + 15. Is 16 a factor of d? True Let b = 747 + -1071. Is 8 a factor of b/(-10) + (-8)/20? True Let y(b) = -2*b + 0*b - b. Let j be y(-3). Suppose g - j = 9. Is 12 a factor of g? False Suppose -3*c + 137 = 47. Is c a multiple of 8? False Suppose 3*r = 108 + 75. Is r a multiple of 14? False Suppose -3*x - 5*k = -x + 10, -3*x = 4*k + 1. Suppose -x*b = -0*b - 185. Is b a multiple of 11? False Let y(p) be the second derivative of -p**3/6 + 3*p**2/2 - 2*p. Let r be y(-3). Is (-9)/((15/r)/(-5)) a multiple of 15? False Suppose -4*w - 40 = d, -2*d + 2 = -w + 1. Does 16 divide (-4)/(-12) + (-447)/w? False Let m = -6 - -3. Let k = -1 - m. Does 5 d
{ "pile_set_name": "DM Mathematics" }
is positive. c**87 Simplify (a*a/(a/(a/(a*a**0*a*a*a))))/(a/a**(1/6))*(a/(a*a**(-2/11)))/(a**0/a) assuming a is positive. a**(-109/66) Simplify ((q/(q*q**(1/4)))**(4/19))**(-48) assuming q is positive. q**(48/19) Simplify l**(2/7)*l*l**3*l*l**(-2/3)*l*l*l**(2/17) assuming l is positive. l**(2405/357) Simplify (i**0*i)**(-35)*i/(i*i/i**2*i)*i**3 assuming i is positive. i**(-32) Simplify p*p/p**5*p**(-1/31)*p assuming p is positive. p**(-63/31) Simplify (i**(-8))**39 assuming i is positive. i**(-312) Simplify (((w**7/w)/w)/w*w/(w*w**(-8)/w))**(-28) assuming w is positive. w**(-364) Simplify (f**1*f)**(-15)*((((f*f/(f*(f*f/(f/(f**1/f))*f)/f*f)*f)/f)/f)/f)**(-19) assuming f is positive. f**27 Simplify l**(-4/5)/l**4 assuming l is positive. l**(-24/5) Simplify p**(2/13)*p/(p**(-3)/p) assuming p is positive. p**(67/13) Simplify (a*(a**2*a)/a)**(1/18)/(a**0*a/(a/a**(-2/9))) assuming a is positive. a**(7/18) Simplify (a**(-4/9)/a)/(a*a*a*a*(a/(a*a**(-1)))/a*a*a)*a*a**3*a*a**1 assuming a is positive. a**(-13/9) Simplify ((y**0/y)/y)**19*y**(4/5)*y/((y**5/y)/y) assuming y is positive. y**(-196/5) Simplify (u**1)**(-42)*u**(-1/3)/(u/(u*u/(u*u**(-3/4))*u)) assuming u is positive. u**(-487/12) Simplify b*b*b**(-4)*((b/((b*b**(-6))/b))/b)/b*(b/(b*b**(-2))*b)**(4/13) assuming b is positive. b**(51/13) Simplify m*m*m*m**10*m*m**(-3)*(m**0/m)**(-6/13) assuming m is positive. m**(149/13) Simplify (w/(w**0/w)*w*w*w)**(-2/33)*(w/(w/(w*w/w**(-2/7))))/(w/((w/w**(-2)*w)/w)*w) assuming w is positive. w**(689/231) Simplify s**(-2/3)*s**(-1)*s*s*s**3/((s/((s*s**(-1/8)/s)/s*s)*s)/s) assuming s is positive. s**(53/24) Simplify (((p/(p**(-2/7)*p))/p)**(2/19))**(-1/57) assuming p is positive. p**(10/7581) Simplify l**5/l**(-4) assuming l is positive. l**9 Simplify (j**4*j*j/(j*j/(j*j**(-2/9))*j))**(-21) assuming j is positive. j**(-238/3) Simplify (k/(k*k/(k*k*k/((k**(1/4)*k)/k)*k))*k)**(1/9)/(k**(1/4))**(-6/19) assuming k is positive. k**(113/228) Simplify k**(-1/4)/(k/(k/((k/(k*k/(k/(k/(((k/(k*k**(-2/9)))/k*k)/k)))))/k)))*k/k**(-1/4)*k/k**0 assuming k is positive. k**(43/9) Simplify m**(4/3)*m**16 assuming m is positive. m**(52/3) Simplify (l**(2/11))**(-3/28) assuming l is positive. l**(-3/154) Simplify (f**13/f)**(2/69) assuming f is positive. f**(8/23) Simplify y/(y**(-20)*y)*(y**(-37)/y)/y assuming y is positive. y**(-19) Simplify (z**(-15)/z)**(-40) assuming z is positive. z**640 Simplify o/(o/o**(2/49)*o)*o*o*o/o**(3/38) assuming o is positive. o**(3653/1862) Simplify ((a*((a/a**0)/a)/a)/a)**(-21)*a**(1/3)/(a/(a**(2/13)*a)*a) assuming a is positive. a**(799/39) Simplify r*r*r*r/r**0*r**(-2) assuming r is positive. r**2 Simplify (g**1*g**(-1/9))/((g*g**(-4))/g**(-3/4)) assuming g is positive. g**(113/36) Simplify c**(-17/2)/c*c*c*c**(-40) assuming c is positive. c**(-95/2) Simplify ((q*q**8)/(q/q**(-4)))**(-4) assuming q is positive. q**(-16) Simplify w**(-28)/((w/(w/(((w/(w/w**(-32)))/w)/w)))/w) assuming w is positive. w**7 Simplify (((k/(k/(k**9/k)))/k)/k)**(-15) assuming k is positive. k**(-90) Simplify (s/s**(-27)*s)**(3/7) assuming s is positive. s**(87/7) Simplify ((z**(3/2)/z)/z**(-4/3))**(-2/3) assuming z is positive. z**(-11/9) Simplify ((w/(w/(w**(-6)*w)))/w*w*(w**(-4/9)*w)/w)/((w**(-3)*w)/(w/w**(-3/5))) assuming w is positive. w**(-83/45) Simplify p*p**(-1/21)*p**(1/7)*p assuming p is positive. p**(44/21) Simplify u*u*u**(-3)/u*u*u/(u*u**(-6/5))*u*((u**1*u)/u*u)**(-11/7) assuming u is positive. u**(-68/35) Simplify (i**(1/23))**(-2/43) assuming i is positive. i**(-2/989) Simplify c/c**(4/5)*c**(6/5) assuming c is positive. c**(7/5) Simplify (o**(2/43))**29 assuming o is positive. o**(58/43) Simplify (z/((z/(z/(z/(z*z*z*z*z*z**3*z)))*z)/z)*z)/(z*z**(7/4)*z)*(z**(-1/4)/z)**(1/26) assuming z is positive. z**(645/104) Simplify (v/v**(-3)*v*(v**(1/4)/v)/v)/((v/((v*v/(v*v**(-4/5)))/v))/v**4) assuming v is positive. v**(141/20) Simplify ((h/h**(-2))/(h/h**(-2/9)))**(-14/9) assuming h is positive. h**(-224/81) Simplify v*v*v*v*v*v/v**(-2/15)*v*(v/v**4)/v*v*(v*v**0/v)**27 assuming v is positive. v**(62/15) Simplify ((r*r**(-2)/r*r)**48)**7 assuming r is positive. r**(-336) Simplify (c**7/c**(-3/7))**(-30) assuming c is positive. c**(-1560/7) Simplify (h/(((h*h**0*h)/h)/h))**(-49)/((h/h**5)/h**(-2/5)) assuming h is positive. h**(-227/5) Simplify ((f**4*f)/(f*f**15))**41 assuming f is positive. f**(-451) Simplify (g**(-3/8))**(-35) assuming g is positive. g**(105/8) Simplify j**45*j**26/j assuming j is positive. j**70 Simplify s*s*(s*s**(2/13)*s)/s*s*s*(s/(s/s**(-2/37)*s))/s assuming s is positive. s**(1491/481) Simplify (o**24*o)**21 assuming o is positive. o**525 Simplify (n**(-4)*n**(-1/8)/n)/(n/(n**0/n))**(14/15) assuming n is positive. n**(-839/120) Simplify z**4/(z*z*z**20/z*z*z) assuming z is positive. z**(-19) Simplify (j**(-1/11)/(j/j**(-2/17)))/(j*j*j**8*j**(-1/2)) assuming j is positive. j**(-4005/374) Simplify ((m*m**(-5)*m)/(m/(m*m**(-2))))/((m*m*m**(-2/7)*m*m)/m**(-5/4)) assuming m is positive. m**(-279/28) Simplify (((q**0/q)/q*q)/(q/(q**(1/5)*q)))**(4/11) assuming q is positive. q**(-16/55) Simplify y**(-16)/(y**0*y) assuming y is positive. y**(-17) Simplify ((((n/n**1)/n)/n)/n)**20/(n*n/n**(1/2))**(-11/2) assuming n is positive. n**(-207/4) Simplify (u**4)**42 assuming u is positive. u**168 Simplify s**(-1/4)*s/(s/((s*s*s**(9/4))/s*s))*s**0*s**(-6)*s assuming s is positive. 1/s Simplify ((v/(v/((v**11*v)/v)))/(v**(-1/2)/v))**1 assuming v is positive. v**(25/2) Simplify (i/(i*i**(-4))*i*i)/((i*(i**2/i)/i)/i)*(i/(i/(i*i*i*i/(i*i**(2/11))*i*i)))/(i**(-2)*i) assuming i is positive. i**(130/11) Simplify ((s*s/s**(2/7))/(s/(s*s**(5/4)*s)))**(-10/3) assuming s is positive. s**(-185/14) Simplify (x**2/x**0)**(-17) assuming x is positive. x**(-34) Simplify o*o*o**(-4/11)*o*o**33 assuming o is positive. o**(392/11) Simplify (u**(2/43)/u*u)**(-3) assuming u is positive. u**(-6/43) Simplify ((h*h*h*h**0)/h)**(-3)/((h/((h*h**(-1/4))/h*h))/h**3) assuming h is positive. h**(-13/4) Simplify (j**(-35)/j)**(2/27) assuming j is positive. j**(-8/3) Simplify (r**(-8/7)*r/((r/(r/(r*r*r/(r/(r/(r*r**5))))))/r))**(-42) assuming r is positive. r**(-162) Simplify ((g**6*g)/(g*g**(-1/8)))/((((g/(g*g**(-1/9)/g))/g)/g)/(g/(((g*g/g**6*g*g)/g)/g))) assuming g is positive. g**(865/72) Simplify (m**(-3))**(11/4) assuming m is positive. m**(-33/4) Simplify (l**(-2/3)/l)**9/(l*l/l**3*l*l**(4/5)) assuming l is positive. l**(-79/5) Simplify i*i**(-12)*i*i**15/i assuming i is positive. i**4 Simplify (w/w**3*w*w*w**(1/6))/((w**(1/2)/w)/w**(-1/2)) assuming w is positive. w**(1/6) Simplify h**2*h*h**(1/3)*(h**7/h)/(h**(-4)*h) assuming h is positive. h**(37/3) Simplify (((k*k*k*k/(k*k**1)*k)/k)**(-39))**(-1/31) assuming k is positive. k**(78/31) Simplify (i/(i*i**(-31)*i)*i)**(-29) assuming i is positive. i**(-899) Simplify (q**7)**(-16) assuming q is positive. q**(-112) Simplify (d/d**(2/3)*d**5/d)**(-27) assuming d is positive. d**(-117) Simplify (d**1*d)/d*d*d**(-10) assuming d is positive. d**(-8) Simplify (p**(2/7))**43*p**(-1)/((p*p**(7/5))/p) assuming p is positive. p**(346/35) Simplify s*(s/(s**(-39)/s))/s*s*s/s**(1/2)*s assuming s is positive. s**(87/2) Simplify ((d*d**11)/(d*d*d/(d*d*d**13/d*d)))**28 assuming d is positive. d**672 Simplify (y**(-2))**(-3/13)/(y/y**0)**(-31) assuming y is positive. y**(409/13) Simplify (m**0)**(34/5)/(m**(-3/5)*m/m**(1/5)) assuming m is positive. m**(-1/5) Simplify r**(2/3)/(r*r/(r**(-18)/r)*r*r) assuming r is positive. r**(-67/3) Simplify ((m/(m/m**(-7/2)))/m)/((m**(1/7)/m)/m)*(m/m**(-1))**(-4) assuming m is positive. m**(-149/14) Simplify (f**(-6/11))**(-15/4) assuming f is positive. f**(45/22) Simplify (y/(y*y**11*y))**(-50) assuming y is positive. y**600 Simplify (q/((q**(-6)*q*q)/q))**(3/2) assuming q is positive. q**9 Simplify x/(x*(x*x*x**7*x*x*x*x)/x)*x*(x**(-1/4)*x)/x*(((x*x**(1/4)*x)/x*x*x)/x)/x**(-6/11) assuming x is positive. x**(-93/11) Simplify u**(-1/18)*u/u**(-14)*u assuming u is positive. u**(287/18) Simplify ((b**(4/3)*b)/(b**(-2)*b))/(b**(3/7)*(b/((b*b**1)/b))/b) assuming b is positive. b**(82/21) Simplify (v**(2/5)*v/(v**7*v))**(1/44) assuming v is positive. v**(-3/20) Simplify ((h*h/(h*h**(-3/7)))**(-8/5))**(-23/4) assumin
{ "pile_set_name": "DM Mathematics" }
-5*h, v - c = 5*v - 5*h for v. 4 Let i be 6 + -9 + 8 + 7. Solve 13 - 4 = -x + 2*h, -4*x + 2*h - i = 0 for x. -1 Suppose -z = -4*p - 12 + 16, -2*p - 5*z + 24 = 0. Solve -5*m = 5*j - 5, 4*m - 34 = p*j - 12 for j. -3 Let y = -145 + 145. Let m(v) = -v**3 + 3*v**2 + 4*v + 3. Let z be m(4). Suppose y = 2*w + z*w - 15. Solve -3*r - 5 = 2*r + 5*s, 5 = -r + w*s for r. -2 Suppose 8 = 3*g + 2. Let a(f) = -f**3 + 21*f**2 - 2*f + 46. Let p be a(21). Suppose 10*y + p = 11*y. Solve -g*j + 0*d = -4*d + 14, -y*j + 8 = d for j. 1 Let i = -51 - -86. Suppose -4*s - s = -i. Solve -m - 4 = 2*f + 2, 0 = 2*m + 3*f + s for m. 4 Let s = -2 - -5. Suppose -l - s = -2*j - 2*l, 4*j - 3*l = 11. Suppose j*d + 10 = 4*d. Solve 0 = -4*k - t - 9, -d*k - 4*t = -t + 20 for k. -1 Let z be (2 - 0) + 3 + 3. Let b = 27 - 21. Solve 0 = 3*f + b, -4*f + 2*f - z = -4*h for h. 1 Let u = -3 - -8. Let k = 66 + -32. Let c = 36 - k. Solve 0 = 3*a - 2*y + u, 7 = c*a - 3*a + 2*y for a. 1 Let f(g) be the third derivative of -g**4/24 - 5*g**3/6 + 14*g**2. Let m be f(-7). Solve 5*a - 4*u = -37, -2*a - m*u - 1 - 3 = 0 for a. -5 Suppose 4*y + h = -26 - 7, -3*y - 2*h = 31. Let a(v) = v**2 + 6*v - 3. Let q be a(y). Suppose -6*u + q*u = 0. Solve p + 6 = -4*j, u = 5*j + 5*p + 6 + 9 for j. -1 Let c(k) = k**2 - k - 1. Let g be c(-1). Let z(r) = -r**3 - 34*r**2 - 7*r - 233. Let t be z(-34). Solve -q = -3*x + g, -5*x + 14 = t*q - x for q. 2 Let w = -29 - -21. Let f be 3 - (-9)/((-36)/w). Solve 17 = 3*v - p + 5*p, -v + f*p = 7 for v. 3 Let z be (4 + -3 - 2) + 23. Solve -5*u + z = -5*r + 2, 0 = -4*r - u + 9 for r. 1 Suppose 0 = -3*s + 163 - 88. Solve -5*k - p = 2*p + s, -2*p = -k - 5 for k. -5 Let p(h) = 3*h**2 + 4*h + 2. Let j(u) = 8*u + 38. Let n be j(-5). Let o be p(n). Solve b - o - 18 = 5*i, -4*b + 36 = -5*i for i. -4 Let y(t) = -t + 7. Let p = 3 - 0. Let w be y(p). Let x be (-1)/w + (-27)/(-12). Solve 5*a + 15 = 3*a - v, 2*a + 20 = -x*v for a. -5 Let t(p) = p**3 - 3*p**2. Let h be t(4). Suppose 0 + 3 = 3*m. Let z be 1 + (7 - 3)/m. Solve -l + 3*x = -0*l + h, -3*x + 32 = -z*l for l. -4 Let y(s) = 15*s - 478. Let b be y(32). Solve 3*w + b*n = 3, -4 = -w + n - 8 for w. -1 Let b(t) = t**3 + 5*t**2 + 3*t - 1. Let a be b(-4). Let r be (a + -1)/(-2 + 3). Solve 25 = 5*l, -5*v - r*l = -3*l for v. 1 Let w = -2337 - -2342. Solve z + w = r + r, 4*z = 4 for r. 3 Suppose 10*w + w = 891. Let k = 87 - w. Solve 0 = -h - m - 3 + 10, k = 2*m for h. 4 Suppose 37*v = 32*v + 10. Solve -v*o + 3*o + 3*l + 12 = 0, 9 = -5*o + 2*l for o. -3 Suppose -a - 3*n + n = -21, -5*n - 87 = -2*a. Suppose -49*w + 82 = -702. Let y = 10 - 6. Solve -p + 5*d = d + w, -a = -y*p - 3*d for p. 4 Let t = 17 + -16. Let v = 6 - t. Let n = 7 + -2. Solve -5*a + v*z = -0*a - 20, z = n*a for a. -1 Let m = -2 + 4. Let g = -5 - -7. Suppose -m = -2*l + g. Solve 0 = 2*w - 4*b + l, 0*b = 5*w - b - 13 for w. 3 Let u = -2018 - -2020. Solve 46*y = u*v + 50*y, -5 = 4*v + 3*y for v. -2 Suppose -4*i + 2*s = s - 1, 5*i - 2 = 2*s. Let w = -25 - 40. Let t be (w/(-15) + -4)*0. Solve 5*h = i, 3*v - 5*h + 3 + 0 = t for v. -1 Let q be 8/24*(10 - -2). Suppose 0 = -g - 0*g + q. Solve 0 = g*p - 5*x - 36, 3*p - 4*x - 24 - 4 = 0 for p. 4 Let k(b) = 2*b**2 + 2*b - 160. Let r be k(9). Solve -p = -6*p + 3*h - r, -3*h + 18 = -3*p for p. -1 Let q = -21 + 2. Let s = 3 - q. Solve 0 = -4*d + 2*i + s, -5*d + 0*i = 2*i - 5 for d. 3 Let x(d) = 2*d - 27. Let s be x(15). Suppose p = -s*u - 2*p, 4*u - p = 25. Solve -16 = 4*o, -4*o = -u*c - 0*o + 26 for c. 2 Let h(m) = 7*m - 4. Let l be h(1). Let a be 1 + 3 + 0/(-1). Solve -5*p = -a*j + 24, j + p = -0*j - l for j. 1 Suppose -5*h + 204 = -3*h. Let m = h + -100. Solve -z = -6*z - 4*i - 12, m*i + 12 = -4*z for z. -4 Let f(o) = 5*o - 37. Let m be f(8). Solve -12 = 3*h - 3*u, h + u - 1 - m = 0 for h. 0 Let j be ((0 + -1)*0)/(-1). Suppose j*c = 4*c - 84. Solve 5*g + 0*z - z = -c, -5*z = 4*g + 40 for g. -5 Let s(n) = -n**2 + 4*n + 5. Let p be s(-3). Let w = p - -16. Solve 2*g - 2 + 0 = -z, -3*g = w for z. 2 Suppose -p + 13 = -4*b, -3*p - 11*b = -10*b. Suppose 0 = a + p - 4. Solve -8*h + 3*h = i - 13, -2*i = -a*h + 13 for h. 3 Let b = 16 - 9. Suppose -b*d + 15 = -2*d. Let o = 2 + d. Solve -4*p = -o*t - 15, -4*t - 12 = 2*p - p for t. -3 Let b = -175 + 311. Suppose 0*w + 4*w - b = 0. Suppose 0 = -0*d - 2*d + w. Solve -k - 3*z - d = k, -2*z - 6 = 0 for k. -4 Suppose -116 + 17 = -33*f. Solve f*y = c + 13, -2*c + 4 = -10*y + 14*y for c. -4 Let w = -15 + 18. Solve 2*z + 26 = -5*j + 4*z, 25 = -4*j + w*z for j. -4 Suppose -9*k + 25 = 7. Solve -l + k*u + 8 = 3*u, 0 = -l + 2*u - 1 for l. 5 Let b be 0/((0 + 1)*-1). Suppose 3*k = 71*u - 73*u + 20, -3*k = 3*u - 18. Solve g - 5*w - 30 = 0, b = -4*w + k*w + 20 for g. 5 Let p(x) be the second derivative of x**3/2 - 5*x**2/2 - 2*x. Let j be p(3). Solve -2*u - b + 9 = 0, j + 8 = 2*u + 4*b for u. 4 Let w be (-1 - -2)*(-5 - -36). Let b = w + -26. Solve b*j - 3*c + c = -35, 4*j = -2*c - 10 for j. -5 Let r(m) = 2*m**3 - 3*m**2 + 9*m - 18. Let y be r(2). Solve -z - 5*l = 0, -y*z + 9*z - 2*l = 0 for z. 0 Suppose 4*o - 3*o = 10*o. Solve -i + 4*q + o*q + 16 = 0, 4*q + 16 = -4*i for i. 0 Suppose -182 = 7*x + 21. Let a = 33 + x. Solve 2*i = 2, a*i - 14 = 2*p - 0*i for p. -5 Suppose 3*j + 2*z + 9 = 1, 5*z = -j - 20. Solve j*f + b + 7 = 4*f, f = 5*b - 22 for f. 3 Let b(l) = l**2 - 7*l - 1. Let n be b(8). Let g(f) = -4*f + 4*f - f + 17 + 0*f. Let x be g(n). Solve 18 = 4*p - v, 4*p - 4*v - x - 14 = 0 for p. 4 Suppose -6*m + 6 = -3*m. Let t(h) = 3*h**2 - 3*h + 1. Let w be t(m). Solve -r + 12 = -4*a, -5*a - 25 = 3*r + w for r. -4 Let k = 362 + -357. Solve 4*t = -2*p + 2, -2*t = k*p + 23 - 4 for t. 3 Let z = -18 + 8. Let t be 34/z + 4/10. Let y be -3*1/t*7. Solve v = l - 5, -4*l - l - 4*v = -y for l. 3 Let j be -5*(0 + -2 + 1). Suppose -9*o = -180 - 27. Suppose 79 - o = 8*d. Solve 10 = j*q - 5*v, q - 2*v + d*v - 20 = 0 for q. 5 Let q(u) = 20*u + 24. Let c be q(0). Solve 3*p - c = p + 4*i, 3*i + 15 = 0 for p. 2 Let q be (0/1)/(-9 + 13). Let p(w) = -w**3 - 5*w**2 + 4. Let m be p(-5). Solve m*l - 5*b + 36 = q, 0 = l - 3*b + 10 + 6 for l. -4 Let r be 1/(-4) + 1/4. Suppose r = d - 3*d. Suppose 5*n - 3*n - 5*u + 12 = 0, -2*u = 4*n - 24. Solve -2*l - n*j + 24 = d, -4*l + j = -0*j - 12 for l. 4 Let z(v) = -v**3 + 11*v**2 + 1. Let i be z(11). Suppose -i = a - 4. Solve a*s + 0 - 3 = -3*c, -2*s - 5*c = -17 for s. -4 Let x be (-136)/(-14) - 29/(1218/(-12)). Let a be 2 - (2 + -2 + 0). Suppose -a*r + 0 = -2. Solve 0 = -m + s + 3, s + x = 5*m - r for m. 2 Let l = 1551 - 1549. Solve 0 = -4*d - l*v - 6, 19 = d - 2*d + 3*v for d. -4 Suppose 3*i + 2 + 1 = 0, -q = 4*i + 2. Solve q*k - 3*k - 3 = 0, 3*l - 3*k - 9 = 0 for l. 0 Suppose -j + 2*n = -3*n + 14, -3*j - 3*n = 78. Let u = 26 + j. Solve -7 = q - u*i, 2*q + i + i = 16 for q. 3 Let d = 229 + -229. Solve d = -2*p - p + 2*b + 7, 0 = -2*p + b + 5 for p. 3 Suppose -17 + 1 = 4*u, -y + 72 = -4*u. Let d = y - 56. Solve -2*a - 2 = j - 6, d = -4*a + 2*j + 8 for a. 2 Let k = -78 - -72. Let d be 0 + (24/36 - 26/k). Let h = 2 - -18. Solve 5*m = -d*w - 0*w - h, -29 = -4*m + 5*w for m. 1 Suppose 30 = 705*p - 695*p. Solve p*w - 2*l = 4, -3*w - 5*l + 7 = -2*w for w. 2 Suppose 18 = 4*f - 5*f - 2*m, 54 = -5*f - m. Let q = f + 10. Suppose -5*x + 45 = 5*p, 5*x + 3*p + p - 42 = q. Solve -5*g - 3*v = -4*g + x, -3*v - 6 = 0 for g. 0 Suppose 135 = 3*z - 3*h, 6*z - 75 = 5*z - 5*h. Suppose 5*v - z = y - 6*y, 4*y = -3*v + 35. Solve -y*c = -3*s + 35, -2*s + 24 + 6 = -5*c for c. -4 Let o = -7 - -10. Suppose v = 5, -2*w + o*v - v = -6. Suppose -17 = -5*p + w. Solve 2*h + 30 = -p*c - 3*h, -2*h - 18 = 5*c for c. -2 Let d = -1758 - -1762. Solve 2*n - 12 = 4*l + n, -d*l + 3*n - 20 = 0 for l. -2 Let s = -25 - -27. Suppose -4*l = 12, 0*l + 3*l = u - 14. Solve -d = 2*w - s, -u*w - 1 = 3*d - 8 for w. -1 Let w(d) = -d**3 + 7*d**2 + 28*d - 139. Let g be w(8). Solve 0 = 3*u - 3*b + 18, g = -3*u + 5*b - 1 for u. -4 Let z(s) = 4*s**2 - 12*s + 3. Let v = 111 + -108. Let a be z(v). Solve 3*m = 3*n + 3 + a, 0 = -2*m + 3*n + 7 for m. -1 Let z(n) = 22*n - 19. Let l be z(1). Solve 12 = -4*c - 2*t, 28 = -5*c + l*t + t for c. -4 Let y(c) = -c**3 + 5*c**2 + 6*c + 1. Let x be y(6). Suppose -2*r = 53 - x. Let j = r + 66. Solve 2*m + j = -5*z + 7*m, 3*
{ "pile_set_name": "DM Mathematics" }
n - 2*v + 3. List the prime factors of (-12 - 21)*n*1. 3, 11 What are the prime factors of 13446/(-12)*(-2)/3 + 3? 2, 3, 5 Suppose 2*a + 3*n - 5478 = -1117, -2184 = -a + 2*n. List the prime factors of a. 2, 1091 Let b(f) = f + 10. Let t be b(-8). Let m = t + 0. List the prime factors of m + 6 + (1 - 3). 2, 3 Suppose 5*o + 0*o + 15 = 0. Let h = o + 1. List the prime factors of (-1)/h*(-6 - -42). 2, 3 Let q = -51 - -47. List the prime factors of q/12 + (0 - 588/(-9)). 5, 13 Let k = 46 + -22. Suppose 0 = 3*s - 354 + k. List the prime factors of s. 2, 5, 11 Let a(i) = -4*i + 7. Let v be a(-5). Suppose 5*p + 3*f - 9 = -3, 3*f = -3*p + 6. Suppose p = -4*m + 89 + v. What are the prime factors of m? 29 Suppose 0 = -3*u + 5*u + 942. Let l = u - -806. What are the prime factors of l? 5, 67 List the prime factors of (-8)/(7 + -5) - (-1 - 1879). 2, 7, 67 Let z be 531/(-6) + ((-12)/8 - -2). Let u be ((-27)/12)/(3/(-8)). What are the prime factors of (z/12)/((-1)/u)? 2, 11 Suppose 4*d - 4*x + 104 = 0, -5*x = d - 5*d - 100. What are the prime factors of (1/(-5) - (-2814)/d)/(-1)? 2, 47 Let d = 359 - 193. Let g = -68 + d. What are the prime factors of g? 2, 7 Suppose 0 = 2*q + 5*t - 2329, -2148 - 2515 = -4*q - 5*t. What are the prime factors of q? 3, 389 Suppose -g - 377 = -4*l, -2*l + 0*l - 2*g = -196. Suppose l = 5*u - 160. What are the prime factors of u? 3, 17 List the prime factors of 10/8 - 86535/(-20) - 3. 5, 173 Suppose -5*h - 9 = 5*d - 4, 2*d - 2*h = 14. Let u(t) = 2*t**2 + t - 2. Let y be u(3). Let b = y + d. List the prime factors of b. 2, 11 Suppose 0 = -4*m + 2*l + 400, -300 = -3*m + 9*l - 12*l. What are the prime factors of m? 2, 5 Let g(k) be the second derivative of k**3/2 - 7*k**2 - 10*k. What are the prime factors of g(9)? 13 Let n(q) be the third derivative of q**5/30 - q**4/2 + 11*q**3/6 + 32*q**2. What are the prime factors of n(8)? 43 Suppose 3*t + 33 = 477. Suppose 0*k + t = 4*k. Suppose -g - 2*g - n + 63 = 0, 0 = -g + 5*n + k. List the prime factors of g. 2, 11 Let p = 768 + -31. What are the prime factors of p? 11, 67 Suppose 4*h - 8 = 8. What are the prime factors of ((-2)/((-2)/3))/(h/100)? 3, 5 Suppose n + 5*l = -21, 18 = 2*n - l - l. Let d(m) = n*m - 10*m + 30*m. List the prime factors of d(1). 2, 3 Suppose -3*x - 39 = -5*g, 2*x - 5*g + 7 = 3*x. Let o(m) = 2*m - 2. Let i be o(x). Let n = i - -38. What are the prime factors of n? 2, 5 Let h(s) = -s**2 + 13*s - 16. Let x(b) = -b - 1. Let k(d) = h(d) - x(d). Let r be k(10). Suppose -2*t - r + 115 = 0. What are the prime factors of t? 3, 5 Let z = 9 + 1. Suppose -5*y + z = 0, 35 + 27 = -2*o - 3*y. Let t = o - -59. List the prime factors of t. 5 Suppose -2*z - 6*l + 23 = -3*l, 0 = 5*z - 4*l. List the prime factors of (17/z)/(3/36). 3, 17 Let y be (-2)/5 + 744/10. Suppose 2*j = z + 88 + y, 4*j + 5*z = 352. Let f = j - 44. What are the prime factors of f? 3, 13 Suppose 6106 = 3*s + 2125. List the prime factors of s. 1327 Let v = 246 + -204. Suppose 3*m - 4 = 11, 2*t = 3*m - 11. Suppose u = t*z - v, -2*z + 17 = 2*u - 19. List the prime factors of z. 2, 5 Suppose 4*m = -s + 2643, 3*m - 1027 = s + 950. List the prime factors of m. 2, 3, 5, 11 List the prime factors of 78559/104 + (10/16 - 1). 5, 151 What are the prime factors of (14 - 15)/(2/(-1178))? 19, 31 Suppose -2*y - 2*f + 834 = 0, 7*f - 423 = -y + 3*f. List the prime factors of y. 5, 83 Suppose 0 = 5*d + 25, 0 = -0*x - 5*x + 4*d + 40. Let b = 64 - 53. Suppose 85 = x*v - b. What are the prime factors of v? 2, 3 Let v be (-3)/4*-4 - 3. Suppose v = -6*f + 602 - 242. Suppose -3*y + n + 4*n + 94 = 0, -2*y + 4*n = -f. List the prime factors of y. 2, 19 Suppose -5*z + 584 = 3*y, 5*z = -4*y + 328 + 259. Suppose -z = -3*c + n, -c + 13 = -n - 22. What are the prime factors of (c/25)/(3/60)? 2 Suppose 56 = 4*m + 5*j, -4*j = 3*m - 5*j - 61. Let u = m + 0. List the prime factors of u. 19 Let t = 9 - -100. Suppose -t + 197 = 2*j. List the prime factors of j. 2, 11 Suppose -b - 90*k = -91*k - 2316, -k + 9274 = 4*b. What are the prime factors of b? 2, 19, 61 Suppose -2*g + 13*b = 17*b - 794, 4*g + 3*b - 1573 = 0. List the prime factors of g. 17, 23 Suppose -4*r = -2*j - 6768, 0 = -4*r + 9*j - 6*j + 6772. List the prime factors of r. 2, 5, 13 Suppose 4*f - 353 = 14131. What are the prime factors of f? 3, 17, 71 Let u(b) = b**3 + 0*b**3 + 34 - b**2 + 76. List the prime factors of u(0). 2, 5, 11 Let d(m) = m**3 + m**2 + m + 1. Let w be d(-1). Suppose w + 54 = 3*r. List the prime factors of r. 2, 3 Let c(u) = u**2 + 7*u - 3. Let l be 1/1 - (10 - 12). Suppose -11 = -l*y - 38. What are the prime factors of c(y)? 3, 5 Let s(i) = -2*i**2 + 41*i - 1. What are the prime factors of s(9)? 2, 103 Let w be 788/10 - 6/(-30). Let f = -113 + w. List the prime factors of (-1)/2*(f - -6). 2, 7 Let g(m) = m**2 - 12*m - 19. Let j be (34/(-6))/(3/(-27)). Let p = j + -34. What are the prime factors of g(p)? 2, 3, 11 Let g = 183 - 35. What are the prime factors of g? 2, 37 Let o(q) = q**2 + 4*q + 6. Let z be o(-5). Let f = z + 31. List the prime factors of f. 2, 3, 7 Suppose -3*g + 4*k = 2*g - 18, -15 = -5*g + 5*k. Let o be 20/16*(g - 2). Suppose w = 4, d - 3*w - 40 = -o*w. What are the prime factors of d? 2 What are the prime factors of 221 - ((2 - 4) + 1 + 2)? 2, 5, 11 Suppose -4*y - 2*c + 22 = 0, -y + 7*c = 2*c - 11. Suppose -2*b - y - 12 = 0. What are the prime factors of b/6*(-158)/3? 79 Let o(p) = -p + 1. Let q be o(-4). Suppose m = 2*f + 3 - 2, q*f = 10. Suppose 30 = 2*r - 4*n, m*r - 4*n + 0*n - 93 = 0. What are the prime factors of r? 3, 7 Let t(r) = r**2 + 15*r - 33. Let o be t(-18). Let y(f) = f + 1. Let p be y(-5). Let i = p + o. List the prime factors of i. 17 Let c(h) = -h**3 - 16*h**2 + 6*h + 32. Let s be c(-16). Let g = s + 155. List the prime factors of g. 7, 13 Let b(m) = 9*m**2 + 6. Let p be b(4). Suppose p = 3*t + 4*w, 141 = 4*t - t + w. List the prime factors of t. 2, 23 Let d = -1357 - -3705. List the prime factors of d. 2, 587 Suppose -q = -4*q - 6. Let n be q*(-1)/(-2) - 7. Let a(i) = -2*i + 7. What are the prime factors of a(n)? 23 Suppose -5*h + 5459 = -r, 3*h - 2791 - 480 = 5*r. What are the prime factors of h? 2, 3, 7, 13 Let w = 26 + -22. Suppose -4*x - 366 = 3*g + 2*g, w*x = g - 378. Let i = x - -143. List the prime factors of i. 7 Suppose 3*a - 5*g - 1132 = 9, -5*a = -5*g - 1885. What are the prime factors of a? 2, 3, 31 Let b(f) = f**3 + 2*f**2 - 3*f + 19. Let x(p) = 2*p**3 + 3*p**2 - 5*p + 37. Let q(k) = -9*b(k) + 4*x(k). What are the prime factors of q(-8)? 7 Let h(r) = -3*r**2 - 12*r + 25. Let l(o) = -7*o**2 - 23*o + 50. Let y(c) = -9*h(c) + 4*l(c). What are the prime factors of y(11)? 2, 3, 5 Let t be (0 + 2)/((-1)/119*-1). Suppose 3*h - f - t = -h, 0 = f - 2. What are the prime factors of h? 2, 3, 5 Let h = -74 + 80. Let b = 7 - 2. Suppose -b*y = -m, h*y = 2*y + 4. List the prime factors of m. 5 Suppose -5*a + 4 = -a. Let s = -5 + a. Let x(c) = c**2 + 12. List the prime factors of x(s). 2, 7 Let n(u) = u**3 - u**2 - u + 2. Let k be n(2). Suppose -5*z + 36 = -v, 0 = z + 2*v - 1 - k. What are the prime factors of 427/z + (1 - 4)? 2, 29 Let g = -4642 - -7032. List the prime factors of g. 2, 5, 239 Suppose -3*d - a = -4, -2*d - 23 = -4*a - 7. Let y(p) = 3*p - 4. Let w be y(-3). List the prime factors of 1 - (-2 - d) - w. 2 Let g be 90/(-21) + (-2)/(-7). Let p be 12/10*10/g. List the prime factors of (-15)/((p - 1)/4). 3, 5 Let i(f) = 2*f**2 - 8. Let m be i(-8). Let c = -81 + m. List the prime factors of c. 3, 13 Let a be (5/4)/((-4)/(-16)). Suppose a*w + 125 = 4*k + 52, -k + 12 = 5*w. Suppose -4*o = -7 - k. List the prime factors of o. 2, 3 Let p be (20/(-15))/(-1)*3. Suppose 2*a - 4*g = 100, 254 = p*a - 2*g + 84. List the prime factors of a. 2, 5 Suppose 2292 = -5*u + 9327. What are the prime factors of u? 3, 7, 67 Let l(g) = -g**3 + 28*g**2 - 19*g + 13. What are the prime factors of l(26)? 13, 67 Suppose 5 - 14 = 3*f, -2*h - f + 1315 = 0. List the prime factors of h. 659 Let n(r) = 51*r**2 + 13*r + 96. What are the prime factors of n(-9)? 2, 3, 5, 137 Let z be (1/(8/12))/(3/(-8)). List the prime factors of 1/((2/24)/((-29)/z)). 3, 29 Suppose -4*h + 35 = 3*o, 3*h = 4*o + h - 10. Suppose 339 - 111 = o*d + 3*a, -a = -d + 52. List the pr
{ "pile_set_name": "DM Mathematics" }
11 - s. Which is the closest to 0? (a) 0.3 (b) -4 (c) v a Let m = 10 - 14. Let u be (-10)/m + 1 + -3. Let h = -104 + 100. What is the closest to 1 in h, 4, u? u Let v = 288 + -2301/8. What is the nearest to -1 in 34, v, 0.1? 0.1 Let s(g) = -2*g - 1. Let v be s(-1). Let b = -37.5 + 40. Let z = 1.5 + b. What is the nearest to v in -2/9, 3, z? -2/9 Let q = -1.75 - -5.73. Let n = q + 0.02. Let h = 1313 + -1312.8. Which is the nearest to 0? (a) n (b) -0.1 (c) h b Suppose -11*n - 833 = -426. Which is the closest to 0.1? (a) 5 (b) -5 (c) n a Suppose -9*r = -4*r + 60. Let o = r - -14. Let f = 18 + -17.5. What is the nearest to -1 in f, o, 5? f Let p = -238.3 - -238. Let r be 30/7 + 6/(-21). Let x = -0.33 + -2.67. Which is the closest to -0.1? (a) x (b) r (c) p c Let j = -113 - -113.05. Which is the closest to 1? (a) -0.2 (b) j (c) -4 b Suppose t - 3*l = 12, 5*l = -4*t + 3*l + 34. Let g = t - 62/7. Which is the closest to 0.1? (a) g (b) 2 (c) 0.2 a Suppose -115*s + 11 + 104 = 0. Let w = 0.2 - 0. Which is the nearest to -0.1? (a) -1/10 (b) s (c) w a Let w = -5.06 - -5. Let i = -3.09 + 4.03. Let f = i - w. Which is the nearest to 2? (a) 5 (b) f (c) -4 b Let q = -1057 - -1047. Which is the closest to 0.1? (a) -5 (b) 0 (c) q (d) -0.1 b Let f = 65 + -65.4. What is the closest to 3 in 0.13, f, 2? 2 Suppose i - c - 3 = 0, -i - 5*c - 20 = 7. Let x(y) = y**3 - 5*y**2 - 18*y + 27. Let a be x(7). What is the nearest to a in i, 1, 1/3? i Let i = -352.7 - -353. Which is the nearest to i? (a) 5 (b) 3 (c) 0.1 c Let j = 0.73 + -0.23. Which is the nearest to 1? (a) j (b) 0.4 (c) -0.4 (d) -0.5 a Let p = 14.52 + -14.22. Which is the nearest to 0.1? (a) -0.04 (b) 3/4 (c) p (d) -0.3 a Let c = 0 + 1. Let s = 787 - 5511/7. What is the closest to 2 in c, 4, s? c Let m = -2.62 - -3. Let h = -0.43 + m. Which is the closest to -1? (a) 0.4 (b) h (c) 2/15 b Let l = -4.1 - -0.1. Let v = 9.7 - -30.3. Let f = -40.1 + v. What is the closest to f in -3/5, 0.2, l? 0.2 Let k = -0.03719 + -0.96281. Let g = -82/105 - -4/35. What is the closest to g in -4, 2, k? k Let d = -530 - -525. What is the closest to 8 in d, 4, 0.4, 1/3? 4 Let v be -3 + ((-40)/(-5))/2. Let j = -1.5 + 2. Let g = 394 - 5912/15. Which is the nearest to -1? (a) g (b) v (c) j a Let k = -11.22 - -11.12. Which is the nearest to 1? (a) -6/5 (b) k (c) 0.06 (d) 3/4 d Let l be ((-4)/(-176))/(3 - (-92)/(-32)). Which is the closest to -1? (a) l (b) -1/4 (c) 0.01 (d) -0.1 b Let o = -239/63 + 29/9. What is the nearest to -7 in 2/15, o, -1/7? o Let m = 28 + -27.9. Which is the closest to 0.1? (a) m (b) -1 (c) 2/3 a Let w = 0.091 + 0.009. Let q = 3 + -3. Which is the closest to 0? (a) 2 (b) w (c) q c Let v = -2333 - -2333.1. Suppose -4*a - 21 = -9. What is the nearest to 1/3 in 3/7, v, a? 3/7 Let p = 4 - 4.4. Let g = 30 + -34. Which is the nearest to 1/2? (a) g (b) -0.5 (c) p c Let y = -0.09 + -1.53. Let i = -1.22 - y. Let n = 85/78 - 12/13. Which is the nearest to -1/3? (a) n (b) 6/5 (c) i a Suppose 104 = 8*q + 8. Which is the closest to q? (a) 5 (b) -2/11 (c) 0.3 a Let j = 34 + 41. Let g = 220/3 - j. Let i = 4535/6 + -756. What is the closest to i in g, -3/2, -4? -3/2 Let b = 1247 + -1244. What is the nearest to -2/3 in -1/24, b, 0.5? -1/24 Let r be 48/10 + 2/10. Let x = 461 - 461. Suppose x*p = -3*t - 2*p - 1, -r*t + 2*p = -9. Which is the closest to 0.1? (a) 0.2 (b) -1 (c) t a Let j = 0.064 - -1.936. Let k = 8 + -8.1. What is the closest to k in 0.4, j, -2? 0.4 Let b be (20 - 16) + 0/1. What is the nearest to 0.4 in -0.2, 0.9, b? 0.9 Let t = -7.3 - -3.3. Which is the nearest to 1? (a) t (b) -8/3 (c) -3/5 c Let i = -684 - -2737/4. What is the closest to i in -2, -1/5, -2/13? -2/13 Let h = 408 + -3670/9. What is the nearest to 1/3 in -8, h, 1/3? 1/3 Let p = -48.29 + 0.29. Let b = 48.1 + p. What is the closest to b in 4, 0.1, -0.4? 0.1 Let l = -1142.2 + 1142. Let s = 0 - 0.1. Which is the nearest to s? (a) l (b) 5 (c) -2 a Let n = 0.64 + 0.16. Let w = 1.9 - n. Let s = 0.6 - 0.8. Which is the nearest to -1/3? (a) s (b) w (c) -0.3 c Suppose -4746 = -27*b - 4800. Let u = -0.1 + 0. What is the closest to u in -4/3, 3/8, b? 3/8 Let i be 2/((-80)/(-34)) - 1/4. Let k = i - 14/15. Which is the closest to k? (a) -3/5 (b) 11 (c) 4 a Let k = 6 - 4. Suppose 0 = -5*a + 7 - 32. What is the closest to -1 in a, -2/13, k? -2/13 Let z = 313 + -310. What is the closest to -2 in -3, 5, z? -3 Let h = -20.3 - -20. Let x = -0.9 - h. What is the closest to -2/7 in x, -4, 3? x Let o = 0.03 - 0.13. Let i = 0.1 + o. Suppose -l + 20 = 5*n, 4 = n + 3*l + l. Which is the closest to i? (a) -0.2 (b) 0.1 (c) n b Let l = -71 - -69. What is the nearest to -7 in -4, 1/4, l? -4 Let t be 9 + -19 - (-9 - -1). What is the closest to t in -3, -4, -0.3? -3 Let p(r) = r**3 + 13*r**2 - 2*r - 26. Suppose 0 = -k - 33 + 20. Let v be p(k). What is the closest to v in -1, 2/9, 4/3? 2/9 Let u be 10/8 - (-14)/(-17 - -3). Let p be ((-1)/3)/((-2)/6). What is the closest to p in -2/5, u, 2/9? u Let x = 0.2 + -0.3. Let l = -1/5 - -2/5. Suppose -1108*v = -1112*v. Which is the closest to 2/5? (a) v (b) l (c) x b Let x = -332 - -329. Let g = 28 + -28. What is the closest to x in 0.5, g, 5? g Let t = -19.06 + 18. Let m = 0.06 + t. Which is the closest to -10? (a) m (b) 5 (c) 3/4 a Let s = 18/13 - 59/52. Let d be (-50)/45*(0 - 3/5). What is the closest to d in 2/15, s, -2? s Let g be ((0 - -1) + 1)/(180 - 182). Which is the nearest to -2/13? (a) g (b) -0.5 (c) -9 b Suppose 4*l = 8*l - 4*i, 0 = 2*i. Let z = 177/8 - 22. What is the nearest to -1/5 in -2/3, l, z? l Suppose 7*k = 3*k - 3*o + 855, 2*k - o - 425 = 0. Let z = -1915/9 + k. What is the closest to 1/2 in 3, z, 1? z Let o be 2/8*40/95. Which is the closest to -2? (a) -0.3 (b) o (c) 5 a Let w = 1154 - 1150. Which is the nearest to -1/4? (a) 9 (b) -0.5 (c) w (d) -3 b Suppose 0 = y + 14 - 2. Let t be (-46)/12 + y/72. Let f be (-30)/(-45) - t/(-3). What is the nearest to f in 1, 3, 2? 1 Let k = 2/1027 + 1019/4108. Which is the closest to k? (a) 1/4 (b) -2/13 (c) -1/4 (d) 3 a Let s = -6 - -6.3. Suppose 113 = 8*t + 89. Which is the closest to -1/3? (a) 2 (b) t (c) s c Let h = 1.99 + 0.01. Let t = -1151.1 + 1151. Which is the nearest to t? (a) h (b) -1 (c) 0 c Let h be ((-28)/(-24) + 0)*(-4)/(-7). Let o = 1 + -2. Let n be (-12)/(-18) + 4/(-9). Which is the closest to o? (a) h (b) n (c) 2/11 c Let y(h) = 10*h**2 - 85*h + 14. Let l be y(8). Which is the nearest to -2/7? (a) 0.5 (b) l (c) 2 a Let h = 6.47 - 1.47. Which is the nearest to 1? (a) -0.3 (b) h (c) -2/9 (d) -0.2 d Let l = -3.1 + 5.1. Suppose n = -4*y - 8, -3*y + y + 4 = 0. Let r = n + 21. What is the nearest to -1 in r, l, -0.4? -0.4 Let p = 0.134 + 0.366. Which is the closest to 0.1? (a) -2/5 (b) p (c) 3 (d) 0.2 d Let u be (-12)/165*(-3 - 6/(-12)). Let l = -4.8 - 1.2. Let q = l + 9. Which is the nearest to u? (a) 5 (b) -3 (c) q c Let d(j) = -j**2 - 24*j - 131. Let o be d(-10). What is the closest to 1 in o, -2/7, 1, -5? 1 Let y(w) = -w**3 - 3*w**2 - 5*w - 6. Let l be y(-6). Let d = l + -47. Let x = d - 511/6. Which is the closest to 0? (a) -5 (b) x (c) -2/9 b Let f = -0.0729 + -3.9271. What is the nearest to 2 in -0.1, f, -13, 0.3? 0.3 Let x = 0.1053 - -18.9147. Let t = -19 + x. Let n = t - -0.18. Which is the closest to -1/3? (a) -0.3 (b) -3 (c) n a Let i = -6.15 + 6.55. What is the closest to -2/3 in -0.3, 0.28, i? -0.3 Let t = 7.6 + -14.2. Let i = 2.6 + t. Which is the closest to -2/3? (a) -0.3 (b) -2/9 (c) i a Let w = -3084 - -3085. Let j(s) = -s**3 + s**2 + s - 5. Let k be j(4). What is the closest to w in k, -0.5, -0.4? -0.4 Let z = 33.5 + -17.9. Let k = z - 14.6. Which is the nearest to k? (a) -4 (b) -3 (c) 4/7 c Let p be 2/(-6) + (-10)/(-6). Let q(u) = -2*u - 1. Let g be q(1). Let m be g - (3 + -19)/4. Which is the closest to 4? (a) -2/3 (b) m (c) p c Let w(m) be the first derivative of m**4/4 - m**3/3 - 1. Let q be w(-1). Let y = 50413/4 - 12603. Which is the closest to q? (a) 3 (b) y (c) 0.4 b Let x = -1.11 + 0.11. Let y = 3/4 + -5/4. Suppose 0 = -5*p + 2*p - 3. Which is the closest to p? (a) -3/4 (b) y (c) x c Let m be (
{ "pile_set_name": "DM Mathematics" }
1, -161, -199, -235? -269 What is next in -19, -21, -33, -61, -111, -189, -301? -453 What is the next term in 322, 331, 354, 397, 466, 567, 706? 889 What comes next: -11, -12, -15, -20, -27, -36? -47 What is the next term in -23, -70, -143, -242, -367, -518? -695 What comes next: -3417, -3419, -3423, -3429, -3437, -3447, -3459? -3473 What comes next: 1385, 1383, 1381, 1379? 1377 What comes next: -30, -20, -10, 0, 10? 20 What is the next term in -65, -252, -565, -1004, -1569, -2260, -3077? -4020 What is next in 107, 206, 305, 404? 503 What is the next term in 92, 179, 266, 353, 440, 527? 614 What is next in 36, 80, 136, 210, 308, 436, 600, 806? 1060 What is next in -7928, -15857, -23786, -31715? -39644 What is next in 397, 814, 1233, 1654, 2077, 2502, 2929? 3358 What is the next term in -111, -123, -149, -195, -267, -371? -513 What is next in -31, -61, -87, -109, -127, -141? -151 What comes next: 27, 115, 269, 495, 799, 1187, 1665, 2239? 2915 What is the next term in 364, 369, 382, 409, 456, 529, 634, 777? 964 What is the next term in -125, -246, -377, -524, -693, -890? -1121 What is the next term in -12, -24, -34, -42, -48, -52, -54? -54 What is next in -189, -190, -191? -192 What is the next term in 9, 21, 33? 45 What is next in 7, 52, 127, 232? 367 What comes next: -71, -144, -207, -254, -279? -276 What comes next: -229, -227, -221, -211, -197, -179? -157 What is the next term in 3, 28, 87, 198, 379, 648, 1023, 1522? 2163 What is next in 30, 33, 38, 45, 54, 65, 78? 93 What is the next term in -1, -1, -9, -31, -73, -141, -241, -379? -561 What is next in -6, -9, -12, -15, -18, -21? -24 What is next in 7, 55, 105, 157, 211, 267? 325 What is next in -40, -97, -152, -205? -256 What is the next term in 1093, 1069, 1047, 1027, 1009, 993, 979? 967 What is the next term in -22, 6, 20, 14, -18, -82, -184, -330? -526 What is next in 583, 586, 589, 592? 595 What is the next term in -110941, -110944, -110949, -110956, -110965, -110976? -110989 What is next in 21, 41, 87, 171, 305, 501, 771, 1127? 1581 What comes next: 485, 971, 1455, 1937? 2417 What is next in 1721, 1717, 1711, 1703? 1693 What is next in 2, -3, -10, -19, -30? -43 What comes next: -1104, -1103, -1102, -1101, -1100, -1099? -1098 What comes next: 21, 46, 73, 102, 133, 166, 201? 238 What is the next term in -10, -10, -12, -16? -22 What is the next term in 47, 109, 199, 305, 415, 517, 599? 649 What is the next term in 115058, 115067, 115090, 115133, 115202? 115303 What comes next: -325, -332, -345, -364, -389, -420, -457? -500 What is the next term in 5, -17, -53, -115, -215, -365, -577? -863 What is next in -76, -84, -100, -124, -156? -196 What is the next term in 6, 5, 4? 3 What comes next: -62, -78, -96, -110, -114, -102, -68? -6 What is the next term in -78, -80, -82? -84 What is next in 37, 149, 335, 595? 929 What comes next: -306, -344, -384, -426? -470 What is the next term in 857, 856, 855? 854 What comes next: -30, -44, -76, -132, -218, -340? -504 What is the next term in 55, 130, 207, 286, 367, 450? 535 What is next in 29, 62, 97, 122, 125, 94, 17, -118? -323 What comes next: -186, -360, -534, -708? -882 What comes next: -46, -52, -64, -82, -106, -136? -172 What is next in 839, 828, 801, 752, 675? 564 What is next in -1996, -1998, -2000, -2002? -2004 What comes next: -85, -90, -107, -142, -201? -290 What is next in 59, 121, 187, 257, 331? 409 What is the next term in 631, 629, 627, 625? 623 What is next in -18324, -18320, -18314, -18306? -18296 What is the next term in 251, 214, 147, 44, -101? -294 What is the next term in -56, -58, -62, -68? -76 What comes next: 6798, 6797, 6790, 6771, 6734, 6673, 6582? 6455 What is next in 31, 106, 231, 406, 631? 906 What is the next term in 62, 63, 66, 71? 78 What is next in -23, -11, 13, 49, 97, 157, 229? 313 What is the next term in 188, 358, 540, 740, 964, 1218? 1508 What is next in 135, 161, 187, 213? 239 What is next in -415, -833, -1249, -1663? -2075 What is the next term in 127, 127, 107, 55, -41, -193, -413, -713? -1105 What is next in 47, 49, 55, 65, 79, 97, 119? 145 What comes next: 17, 40, 63, 86, 109, 132? 155 What is the next term in -118, -453, -1018, -1819, -2862, -4153, -5698, -7503? -9574 What is next in 44, 104, 156, 200, 236, 264? 284 What is the next term in -398, -1585, -3560, -6323, -9874, -14213? -19340 What comes next: 268, 267, 266? 265 What comes next: 13798, 13797, 13796, 13795, 13794, 13793? 13792 What comes next: -5, 0, 1, -2, -9? -20 What is the next term in 2, 64, 242, 596, 1186, 2072, 3314? 4972 What is next in 41, 79, 117? 155 What comes next: 203, 408, 613, 818, 1023? 1228 What is next in 1824, 3679, 5558, 7467, 9412, 11399? 13434 What is next in -8, -19, -38, -65? -100 What comes next: 75, 25, -79, -255, -521? -895 What comes next: -73, -308, -701, -1252, -1961, -2828? -3853 What comes next: 185, 162, 93, -46, -279, -630, -1123? -1782 What is next in 41, 82, 123, 164, 205? 246 What is next in -234, -222, -204, -180, -150? -114 What is the next term in -26, -57, -108, -179, -270, -381, -512? -663 What is next in 66, 77, 86, 93, 98, 101, 102? 101 What is next in 44, 71, 104, 149, 212, 299? 416 What is the next term in -33, -63, -93, -123, -153, -183? -213 What comes next: 19, 22, 27, 34, 43, 54, 67? 82 What is next in -24, -49, -70, -87? -100 What comes next: 970, 934, 888, 826, 742? 630 What is the next term in -198, -401, -608, -819, -1034, -1253, -1476? -1703 What is next in 1384, 2765, 4146? 5527 What comes next: -23, -56, -99, -158, -239, -348, -491, -674? -903 What is the next term in -270, -272, -274? -276 What comes next: 483, 481, 477, 471, 463, 453? 441 What comes next: 422, 860, 1298, 1736, 2174? 2612 What is next in 77, 272, 591, 1028, 1577, 2232, 2987, 3836? 4773 What comes next: 222, 444, 666, 888? 1110 What comes next: 45, 48, 53, 60, 69? 80 What comes next: 1568, 3137, 4706, 6275, 7844? 9413 What is next in -8, -103, -286, -563, -940? -1423 What comes next: 39, 122, 337, 750, 1427, 2434, 3837, 5702? 8095 What is next in 1010, 1017, 1022, 1025, 1026, 1025, 1022? 1017 What comes next: 32, 39, 52, 71, 96? 127 What is next in 8, 20, 36, 56, 80, 108, 140? 176 What is next in -221, -865, -1935, -3431, -5353, -7701, -10475? -13675 What is the next term in -43, -198, -465, -844, -1335, -1938? -2653 What is the next term in -137, -192, -235, -260, -261, -232? -167 What is next in 62, 78, 96, 116? 138 What comes next: -227, -465, -703, -941? -1179 What comes next: -80, -164, -250, -338, -428, -520, -614? -710 What is next in -11, -34, -65, -98, -127, -146, -149? -130 What is next in 65, 105, 145, 185? 225 What is next in -35, -138, -307, -542, -843, -1210? -1643 What is next in 7, 26, 45, 64? 83 What is next in -12, -28, -44, -60, -76? -92 What is next in 197, 143, 89, 35, -19? -73 What is next in 17, 8, -5, -22, -43, -68? -97 What comes next: 47, 71, 107, 161, 239, 347, 491? 677 What is next in -13, -34, -61, -94, -133, -178? -229 What is next in 39, 78, 105, 114, 99? 54 What is next in 217, 171, 85, -47, -231, -473, -779? -1155 What is the next term in 12, 21, 44, 87, 156? 257 What is the next term in 231, 232, 233, 234, 235? 236 What is next in -35, -57, -75, -89, -99? -105 What comes next: 95, 202, 307, 410? 511 What comes next: 52, 87, 138, 199, 264, 327? 382 What comes next: -33, -30, -27? -24 What comes next: -420, -419, -418? -417 What is next in 13, 31, 47, 61? 73 What is next in 140, 139, 138, 137? 136 What comes next: -23, -13, 21, 91, 209, 387, 637, 971? 1401 What is the next term in -350, -1500, -3416, -6098? -9546 What is the next term in 49, 88, 133, 190, 265, 364? 493 What is next in 627, 1118, 1611, 2106, 2603, 3102? 3603 What is next in 45, 84, 123? 162 What comes next: 215, 216, 217? 218 What comes next: 633, 594, 553, 510, 465? 418 What is the next term in 167, 332, 497, 662? 827 What comes next: -7, -19, -39, -67, -103, -147? -199 What comes next: -60, -96, -138, -186? -240 What comes next: 113, 220, 327, 434? 541 What is the next term in -706, -701, -686, -655, -602? -521 What is the next term in 1730, 3460, 5190, 6920, 8650, 10380? 12110 What is next in 88, 174, 260? 346 What is next in -8, -40, -114, -254, -484, -828? -1310 What is the next term in 366, 360, 354, 348, 342? 336 Wh
{ "pile_set_name": "DM Mathematics" }
3*p - 2 + 5*p**4 + 11*p**4 + 6*p**2 in the form a*p + v*p**2 + q*p**3 + w*p**4 + i and give v. 6 Express 33 - 19 - 17*k - 2*k**2 + k**4 - 16 - 2*k**3 as c + g*k + r*k**3 + v*k**4 + t*k**2 and give g. -17 Express 11*z + 4*z - 2*z in the form b + a*z and give a. 13 Express (t + t - 3*t)*(-3 + 18 - 2)*(t + 0*t + 0*t) as n*t + y + a*t**2 and give y. 0 Express (2*m - 3*m + 0*m)*((1 + 0 + 0)*(0 + 2 - 1) - 1 + 1 + 1) in the form i + w*m and give w. -2 Rearrange (-27*v**2 + 6*v**2 - 6*v**2)*(-1 - v + 1)*(-3 + 4 - 4) to the form r*v**2 + l*v**3 + d + y*v and give l. -81 Express (o + o**3 - o)*(-2*o - 2*o + 5*o)*(18 - 4 - 54) as q*o**3 + j*o**2 + g + d*o + p*o**4 and give p. -40 Express (-a - 2*a - 2*a)*(0*a - a + 0*a)*(7 - 1 + 2) in the form l*a**2 + q + c*a and give l. 40 Rearrange 20*l**3 + 2*l**2 - 18*l**3 + 10 - 11 to i*l**2 + r + c*l + v*l**3 and give r. -1 Rearrange 5 + 2*f**2 - 2*f**4 + 6*f**3 - 4 - 2 to h*f**2 + a*f**3 + c + r*f + z*f**4 and give a. 6 Rearrange -o**4 + 0 + 4 - 6 + (7 - 4*o**2 - 7)*(4*o**2 - 6*o**2 + 0*o**2) to the form w*o**4 + f*o**3 + p*o**2 + b + l*o and give b. -2 Express 2*h**2 + 3*h - 2*h**3 - 5*h - 2*h**2 + 3*h**2 as b*h + k*h**2 + w + y*h**3 and give b. -2 Express 41*d**2 - 22*d**2 + d**3 + 2*d**4 - 2 - 30*d**2 as a*d**4 + o*d**2 + v + w*d**3 + n*d and give w. 1 Express 3 + 6 + 9 + x as r*x + q and give q. 18 Express 46*z - 40*z + 82*z in the form r + v*z and give v. 88 Express 0*s + 18*s - 4 - 6*s - 5*s in the form b + l*s and give l. 7 Express 3*v - 10 - 4 + 0 in the form r*v + z and give r. 3 Express 11*w - 7*w - 1 - 12*w as r + x*w and give r. -1 Express -377*i + 2*i**2 + 377*i + i**3 + 2 - 5*i**4 in the form d*i**3 + o*i**4 + v*i**2 + l + c*i and give l. 2 Rearrange (0*h**3 - 5*h**3 + 3*h**3)*(-36 + 39 + 50) to the form l*h**2 + i*h**3 + c*h + q and give i. -106 Rearrange 0*v + 2*v - 34*v**2 - 2*v to m + z*v**2 + k*v and give z. -34 Express 0*a**3 + 2*a**3 + 0*a**2 + 2*a**2 - 3*a**3 as o*a**2 + d*a + g*a**3 + i and give o. 2 Express 0*f**2 + f**2 + 0*f**2 + (-2*f**2 - 3 + 3)*(4 + 0 - 1) + (3*f - 3*f + 2*f)*(-2 + 2 - f) as m + h*f + g*f**2 and give g. -7 Express -22*n**2 - 5*n + 7*n - 4*n**2 as l*n**2 + s + y*n and give y. 2 Rearrange 0*r**2 - 7*r**2 - 8*r**2 - r**2 to the form d*r**2 + b*r + y and give d. -16 Rearrange (-4 + 1 + 5)*(-3*f + 7*f - 3*f) + f - 3*f + 4*f - 3*f + 0*f - 1 + f to z + i*f and give z. -1 Express (-4 + 5 + 1)*(-2 - x + 2 + x - 4*x + x + (x - 2*x + 0*x)*(-2 - 2 + 3) - 30*x - 30*x - 33*x) in the form c*x + u and give c. -190 Express 7*o - 3*o - o + 15*o as v*o + d and give v. 18 Rearrange -1377 + 100*v + 1377 + 2*v**2 - v**2 to the form b*v + q + z*v**2 and give z. 1 Express -2*n**4 - 107*n**2 + 3 + 1 - 2*n + 109*n**2 in the form p*n**2 + h*n + a*n**4 + w*n**3 + b and give p. 2 Express -4*s**4 + 37*s**4 + s**4 + (-s**3 + 0*s**3 - s**3)*(1 - s - 1) in the form k*s + p*s**3 + b*s**2 + c*s**4 + z and give c. 36 Express -5*w - 3*w**2 + 2*w**2 + 1 + 42*w**3 - 41*w**3 + 2*w**4 as n*w + t + h*w**3 + d*w**4 + r*w**2 and give h. 1 Express (3*f**2 + 0*f**2 - f**2)*(4*f**2 + 0*f**2 - 6*f**2) - 8*f - 188*f**4 + 2*f + 6*f in the form x + m*f**4 + l*f + b*f**2 + d*f**3 and give m. -192 Rearrange -24 - 27*a + 24 to f*a + i and give f. -27 Express -17 - 21 + 5*f**2 + 35 as v*f**2 + n + i*f and give n. -3 Express (0*j + 0*j + 2*j)*(6*j**2 + 4*j**2 + 9*j**2) + 2*j**3 - 2*j**3 + j**3 - 3*j**3 + 2*j**3 + 5*j**3 in the form i*j**3 + a*j**2 + s*j + z and give i. 43 Express 5*u**3 - 4*u - 8*u**3 + 6*u as t*u**3 + y*u + q*u**2 + v and give v. 0 Express (-3*c**2 + 2*c**2 - 7*c**2)*(0 + 0 - c) in the form s + h*c**2 + u*c + p*c**3 and give p. 8 Express 4*c - 4*c - 2*c**3 + (4*c - 4*c + c)*(-21 - 18*c**2 + 21) in the form q*c**2 + t + z*c**3 + s*c and give z. -20 Rearrange 2*w + 25*w - 70*w to n*w + h and give n. -43 Rearrange -1 + 5*i + i - 2*i**4 - 4*i - 2*i**3 + 3*i**4 to the form y*i + a*i**4 + q*i**2 + b*i**3 + n and give b. -2 Rearrange p**3 - 2*p**2 + 0*p**2 - 5*p**3 + (2 - 5 - 1)*(0 + p**2 + 0)*(-3*p + 0*p + p) to s*p + b + g*p**3 + m*p**2 and give m. -2 Express -5*r**3 + 2*r**3 + 7*r**3 + 2*r - 2*r**3 - 2*r - r**3 + 0 + 0 + (-3 + 2*r**2 + 3)*(6*r - 1 + 1) as y*r**3 + k + w*r + z*r**2 and give y. 13 Express (12 - 22 - 22)*(-3*a + 0 + 0) as t + i*a and give i. 96 Express -4 + 4 - 2*b**3 + (-b**3 + 4*b**3 - 5*b**3)*(6 - 2 - 2) + (5*b - 3*b - b)*(-3*b**2 + 4*b**2 - 4*b**2) as l*b**3 + j*b**2 + v*b + a and give l. -9 Express -33 + 3*d**2 + 33 - 2*d in the form n*d + i*d**2 + b and give i. 3 Rearrange -1 + 1 - f**2 - 1 - 4*f**2 to b*f + i*f**2 + h and give i. -5 Rearrange 8 + 2*q**3 - 4*q**3 - 9 - 8*q**3 to z*q**3 + l*q**2 + r*q + v and give v. -1 Rearrange -s**2 - 5*s**2 - 2*s**4 + 3*s**2 - 2 + s**4 to the form w*s**2 + j*s**3 + r*s + l*s**4 + c and give r. 0 Express 8*p - 13*p - 14*p in the form d*p + m and give d. -19 Express 3*k**2 - 2*k**3 - 3*k**2 - 3*k**2 as w*k + o*k**3 + m*k**2 + l and give m. -3 Rearrange u + u + 2 + 2 + (-u + 0*u - u)*(4 + 0 - 2) + u + 1 - 1 - 3 + 4*u + 3 to i + k*u and give i. 4 Express (2 - 2 - 7)*(-4 - 4 + 4)*(-v - 2*v + 4*v) as o*v + w and give o. 28 Express -59 + 59 + 12*b - 2*b + 2 - 2 + (2 - 5 + 1)*(-1 - 2*b + 1) - 4 + 4 - 5*b as x*b + a and give x. 9 Express (0*m + 2*m + 0*m)*(-62 - 29 - 48)*(-1 + 1 - 2) in the form g + l*m and give l. 556 Rearrange (7 - 7 + m**2)*(7*m**2 + 2*m**2 - 6*m**2) to the form j*m**2 + a*m**4 + x*m**3 + v + r*m and give a. 3 Express -38 - 42*r**2 + 38 as m + c*r + a*r**2 and give a. -42 Express -4*t**2 + 0*t**2 + 3*t**2 - 3 - 2*t**3 as d*t**3 + u + j*t + y*t**2 and give y. -1 Rearrange (7 - 8 + 2)*(-6*q + 4*q - 6*q) to the form y*q + p and give y. -8 Express (0*n**2 + n**2 - 3*n**2)*(10*n + 3*n - 5 - 20*n) as o*n**2 + u + r*n + p*n**3 and give p. 14 Express (-6 + 6 - 1)*(0 + 0 + 3*k) as v*k + q and give q. 0 Express (29*c - 11*c**2 - 29*c)*(-4*c + 1 - 1) as n*c**2 + q + u*c + p*c**3 and give q. 0 Rearrange (-s + 0*s - s)*(5 - 5 + s + (0 + 0 + 2)*(-s - s + 0*s) - s + s - 2*s) to the form t*s + x*s**2 + o and give x. 10 Express -c**3 + 8 + c - 6 + 0 as k*c + h*c**3 + o*c**2 + u and give u. 2 Rearrange 21*s**4 - 19*s**4 - 4*s**3 + 2*s**2 + s**3 to x*s + f*s**4 + g + m*s**3 + b*s**2 and give g. 0 Rearrange -3*m + m - 5*m to the form c + s*m and give s. -7 Express (-8 + 13 + 2)*(2 - 2 - 2*r) as h*r + m and give h. -14 Rearrange -3 - 20*k**2 + 56*k**2 + 3 to the form n*k**2 + i*k + p and give i. 0 Rearrange (0*w + 2*w**3 + 0*w)*(3 - 3 + 2*w) + 4*w**4 + 1979*w**3 - 1979*w**3 - 8 to the form f*w**4 + k*w**2 + m + j*w + r*w**3 and give m. -8 Rearrange (-27*q**3 + 18*q**3 - 21*q**3)*(-4 + 1 + 0) to d*q + u + s*q**2 + a*q**3 and give a. 90 Rearrange -z**2 + 6 + 9 - 17 to r*z**2 + h + p*z and give h. -2 Express (2*s - 5*s + 2*s)*(4 - 3 + 3)*(2 + 1 - 2) + 114*s - 27*s + 9*s as y*s + c and give y. 92 Express 5 - 3 + 21*x - 2 in the form k + b*x and give b. 21 Rearrange -3 + u + 3 + 2*u**2 + u**3 to the form f*u**2 + d*u + w*u**3 + s and give f. 2 Rearrange (10 + 7 + 13)*(-2*g - g + 4*g) to the form q + p*g and give p. 30 Express (f + f + f)*(7 - 22 + 14*f + 12) as x + t*f**2 + k*f and give x. 0 Express (-2*b - b + 2*b)*(-2*b - 2 + 2) + 37*b**2 + 14*b**2 + 8*b**2 in the form y*b**2 + f*b + g and give g. 0 Express 95*v + 48*v - 17*v as y + c*v and give c. 126 Express (-2 + 3 - 2)*(9*q - 139*q + 110*q + 173*q) as i + r*q and give r. -153 Express -2*r - 2*r**3 - 1756 - 2*r**2 + 3*r**3 + 1757 as x*r + m + a*r**3 + p*r**2 and give x. -2 Rearrange (r + 4 - 4)*(2 + 3 - 1) - 3 + r + 3 to the form d + v*r and give v. 5 Rearrange 0*u - 4 + 5 + 3*u**3 - u to z*u**2 + g*u + x*u**3 + l and give g. -1 Rearrange (9 + 4 - 5)*(4 - 1 - 2)*(-3*i + 3*i + 2*i) to n*i + u and give n. 16 Rearrange -111 - m + 69 + 66 to the form d*m + s and give s. 24 Rearrange (-225 + 225 - 4*j)*(-j + 3*j - 5*j) to s*j + k + u*j**2 and give u. 12 Rearrange -5*w**4 + 11*w**2 - 2 - w**2 - 8*w**2 to c*w + x*w**4 + p*w**2 + r*w**3 + t and give t. -2 Express -v**4 + 291*v**3 + v**2 - 291*v**3 + 3*v + 6 in the form b*v + r*v**4 + w*v**2 + z + c*v**3 and give r. -1 Rearrange 4 + 10*a**4 - 2*a**3 - 4 + 0 - a to c + f*a + j*a**2 + o*a**3 + n*a**4 and give f. -1 Rearrange 28 - 19*o - 13 - 15 to the form i + r*o and
{ "pile_set_name": "DM Mathematics" }
) 91 (d) v d Let s = -19/6 + 5/3. Let v = 216.4 - 214. Let o = -4.4 + v. Which is the nearest to o? (a) s (b) -0.4 (c) 2 a Let d(x) = -x**2 + 3*x + 49. Let r be d(10). Let n be -1 + (-1 - -4) - (-35)/r. Let k = -5/9 + 8/9. Which is the closest to n? (a) -0.3 (b) k (c) 10 b Let s = -4005/14 - -2020/7. Which is the closest to s? (a) 1/5 (b) -4/7 (c) 1 (d) -1/10 c Let d = -0.1 + 0. Let s = 767 - 764. Suppose -5*o + s*t + 19 = 0, 4*t - 7 = -4*o - 11. What is the nearest to d in o, 2/7, -0.1? -0.1 Let l = 11 - 17. Let c be (-9)/l*2/15. Let o(g) = g**3 - 6*g**2 + g - 9. Let w be o(6). What is the closest to c in w, 4, -1/3? -1/3 Let g(i) = -i**3 - 2*i**2 + i - 7. Let u be g(-3). Let p be -1 + 3 + 22/(-8). Which is the nearest to -3? (a) -2/5 (b) u (c) p b Let x = -12.49 + 0.49. Let m be ((-1)/(-2*1/(-4)))/(-8). Which is the closest to x? (a) 0.5 (b) 2 (c) m c Suppose -5*b - d = -4 - 2, b = -d + 2. Let l be ((99/(-242))/(-6*(-3)/96) + 2)*-6. What is the nearest to b in 5/4, -0.5, l? l Let u be (-616)/231*(-3)/(-2). Let s be (-36)/54*(-2)/u. Which is the closest to s? (a) -2 (b) 0.7 (c) -1 (d) 0 d Let a = -6560 + 6415. What is the closest to a in 1, -0.3, -1? -1 Let w = -5574 + 11147/2. Let z = 0 + -0.1. Suppose 3*q = -4*j - 2*q, -5*j = -5*q. Which is the closest to z? (a) w (b) 2/11 (c) j c Let v = 30/163 - 656/1793. Which is the closest to 1? (a) -4 (b) -54 (c) -0.2 (d) v d Let d = 2470/231 - 356/33. Let y be (3/30)/(2/(-24)). Let h = 3 - 2. What is the closest to -1 in h, d, y? y Let f = 1.2493 + -1.3043. Which is the closest to 0.1? (a) f (b) -1 (c) -0.02 (d) 4 c Let l = -1.82571 - 0.17429. Which is the closest to l? (a) 223 (b) -0.5 (c) -3/5 c Let x = 6.022 - 11.022. Which is the nearest to 7/17? (a) 5 (b) 2 (c) x b Let m be 129/86 - 38/20. Which is the closest to -1? (a) m (b) -1/8 (c) 0.4 (d) -0.28 a Let f = 1/1942 + -20884/14565. Let r = f + 11/10. Let p = -30 + 29. Which is the closest to p? (a) 2 (b) r (c) -2/5 c Let h be 13 + (3 - 8) + -5 - -170. Let q = -166 + h. Which is the closest to 2/3? (a) 0.07 (b) -0.3 (c) q a Let m = -3.76 - 510.24. Let j = -513.7 - m. Which is the nearest to -0.04? (a) 0.1 (b) 4 (c) j (d) 0.4 a Let i = 2.2658 - 0.2658. Which is the nearest to -0.02? (a) 2/15 (b) 1/14 (c) i b Let c(u) = u**3 + 26*u**2 + 56*u + 20. Let r be c(-24). Let b be (39/26)/((-6)/r). What is the closest to 0.2 in -5, b, -1/2? -1/2 Let h be (((-24)/10)/(-3))/((-2)/(-5)). Suppose -2 = -h*j, -l - 3*j + 6 + 1 = 0. Let p be 3/((-3)/6 - l). Which is the nearest to p? (a) -4 (b) 0 (c) -1 c Let b = 438.746 - -0.254. Let o = -439.1 + b. Let n = 0.5 + -4.5. What is the nearest to o in n, 0.3, -3? 0.3 Let u(x) = -251*x**2 - 7*x - 8. Let w be u(-1). Let z be (-6)/w*6*-2. Which is the nearest to 41? (a) z (b) 0 (c) 0.4 (d) 2/11 c Let s = 2.406 - 2.906. What is the nearest to 0.1 in 3/43, s, 3? 3/43 Let q = 0.1 - 0.15. Let m = -395509/10 + 39551. What is the nearest to -0.2 in q, -0.1, m? -0.1 Suppose 136 = m - 0*m - 4*k, m - k = 145. Let n be m/(-464) + 14/203. What is the nearest to n in 3, -11, 0.3? 0.3 Let o = 0.46165 - 0.26165. What is the nearest to o in 36, -0.3, 17? -0.3 Let f = 0.032 + -1.032. Let k = -12.8 - -12.4. Which is the closest to f? (a) -2 (b) -0.3 (c) k (d) -4/3 d Let o = -0.07 - -3.07. Let j = -9197.13 - -9196.93. Suppose -6*t + t - 3*u + 16 = 0, 16 = 2*t - 2*u. What is the nearest to -2/3 in j, o, t? j Let o(k) = k**3 + 34*k**2 - 1. Let l be o(-34). What is the nearest to -39 in l, 4, -2? -2 Let v = -40.5 + 41.5. Let x = -52 + 51.6. Which is the nearest to v? (a) -1 (b) -2 (c) x c Let n = -26851/1401 + -1/934. Let i = -19 - n. Which is the nearest to -3? (a) i (b) 8 (c) 1 a Let t = -12.47 + 12.37. What is the closest to 0 in -2/5, -11, 2.7, t? t Suppose -48 = 9*v - 3*v. Let t be (8/(-16))/((-22)/v). Let o = 0.7 - 0.3. What is the closest to 1 in o, t, 9? o Let l be (-138)/35 - (-1350)/(-23625). Which is the nearest to l? (a) 2 (b) 1.47 (c) -3/4 c Suppose 3*g + 8 = -309*w + 308*w, -4*g + w + 1 = 0. Which is the closest to -10? (a) -0.5 (b) g (c) -2 (d) 0.05 c Let y = 2.01 - -1.99. Let m = 1.44 - 1. Let r = -0.54 + m. What is the nearest to y in 1, r, 2/5? 1 Let r = 18776 - 18775.99. What is the nearest to 18 in 15/4, 0.2, r? 15/4 Let d be 18 + -12 - 116/(-2). Let y be (-3)/(24/d) - -3. Let i(w) = w**2 - 4*w - 1. Let g be i(4). Which is the closest to g? (a) y (b) 1 (c) 1/3 c Let h = 97523 - 97522. Let k = 3416/9 - 380. Which is the nearest to h? (a) -0.3 (b) -27 (c) 0 (d) k c Let u = 29.2 - 28. Let y = 1.6 - u. Suppose 10*a = -7*a + 17. What is the nearest to a in 2, -1/5, y? y Let k be (-8)/(-30) - 263/3945. Which is the closest to k? (a) -0.08 (b) -0.02 (c) -2/9 b Let i = -12 + 13. Let p = 0.44 + 1.661. Let x = p - 0.101. What is the nearest to 0 in i, x, 0.04? 0.04 Let i = -6016 - -6014.53. What is the closest to 1 in i, 2, -2/3? 2 Let q = 2.10047 + -0.10047. Which is the closest to q? (a) -4/23 (b) -2 (c) 3/2 (d) 3 c Let j(v) = v**3 - 6*v**2 + 17*v - 167. Let z be j(7). Which is the closest to -0.4? (a) z (b) -0.1 (c) -0.2 (d) -3/4 c Let w(s) = s**2 + 10*s + 11. Let z be w(-10). Let t = -484.3 + 484. Which is the nearest to 0.1? (a) t (b) z (c) 1 a Let r(n) = 2*n**2 - 2*n**2 + 7*n - 7 - n**2. Let f = -7950 + 7954. Let y be r(f). Which is the closest to 0? (a) -0.1 (b) 1/5 (c) y a Suppose q + 19 = -3*y, -q + 0*q + 5 = -y. Let b = 1936 - 1938. What is the nearest to -1 in b, y, -2/9? -2/9 Let v = -359.2 - -359.1. Which is the nearest to v? (a) -20 (b) -0.4 (c) -151 b Let f be (-6 - (-287)/49)/(2/(-2)). Suppose -4*l = -l + 12, -3*p + 5*l + 26 = 0. Which is the nearest to p? (a) f (b) 0.02 (c) -0.04 a Let n = 1839.02 + -1839. Which is the closest to 0.4? (a) n (b) -9/5 (c) -2/15 (d) 0 a Let s be 3435/18*3/(-110). Let i = 60/11 + s. What is the nearest to 0.1 in 3, i, 6.9? i Let t(f) = -f**3 + 6*f**2 + 8*f - 10. Let v be t(7). Let z = -61.49 - -63. Let x = 6.51 - z. Which is the closest to -0.3? (a) x (b) 3/4 (c) v b Let k be (12857/(-468))/(-43) - (-4)/36. Which is the nearest to -0.2? (a) k (b) 1.2 (c) -3 (d) -2/13 d Let d = -0.44 - -3.64. Let o = d + -3.7. Let j = 16.1 - 16. Which is the nearest to j? (a) o (b) 4 (c) 0.4 c Let v = 13829/31095 + -1/3455. What is the closest to -2/3 in 1/3, 0.4, v? 1/3 Let l = -0.219 - 3.781. Let g(o) = -25*o - 1. Let i be g(0). Which is the nearest to -0.1? (a) i (b) l (c) -9/10 c Let z = 20 + -19.34. Let p = 1.2 - z. Let l = -0.24 + p. What is the nearest to -0.1 in 2, l, -0.11? -0.11 Suppose 0*f = 5*f + 10. Let o be (1214*(-1)/(-20))/(f/(-4)). Let h = o + -121. Which is the closest to h? (a) -1/5 (b) -1/25 (c) -3/5 b Suppose -k + 0*z - 5*z - 231 = 0, -k - 2*z - 231 = 0. Let s = -226 - k. Let n = 0.1 + -0.6. What is the closest to 0.2 in s, n, -4? n Let j = -5282/14145 - -112/345. Let k = 2 - 2.4. Let u = k + 0.5. Which is the nearest to u? (a) -1/2 (b) -2 (c) j c Let n = 5/903 + 883/3612. What is the nearest to n in -11, 0.5, -0.5, -2/7? 0.5 Let n = 854.5 - 586. Let h = n + -268. Let r(g) = -2*g - 3. Let y be r(-3). Which is the closest to 0? (a) y (b) h (c) 4 b Let t be (-2)/(-2 + (-55)/(-22)). What is the nearest to -0.34 in -2/3, t, 0.5? -2/3 Suppose 5*n - d + 1255 = -2165, -5*d = -5*n - 3400. Let h = n + 4787/7. Let k = 9 - 5. What is the nearest to -1 in k, 2, h? h Let s be 14/6*21/(-147). What is the closest to s in 0, -79, -16? 0 Let d = 4/2629866431 - 96049564972573642/118343989395. Let l = 811575 + d. Let n = -193/5 - l. Which is the closest to -1/4? (a) 0.2 (b) -1/11 (c) n c Let p be 2/(-2) + (2 - -1). Suppose 0 = -165*z + 179*z + 12460. Let l = z + 4457/5. Which is the closest to l? (a) 5 (b) 1 (c) p b Let z = 10 - 10.1. Let r = 37.41 + -0.41. Let x = 35 - r. Which is the nearest to x? (a) 2/5 (b) z (c) -1/4 c Let o = 49178.21 - 49178. Let t = -29/114 - 3/38. Which is the closest to 2/3? (a) -2 (b) o (c) t b Let j be 3/8*164/(-246). Let r = -2.93 - 0.07. Which is the closest to -1? (a) -2 (b) r (c) j (d) 6/7 c Suppose -5*k + 145 = -5*o, -2*o - 3*o = -2*k + 76. Which is the nearest to k? (a) 2.7 (b) 0 (c) 5/3 a Let j(o) = -6*o**2 -
{ "pile_set_name": "DM Mathematics" }
d 240? 16 Calculate the highest common factor of 48 and 108. 12 Calculate the greatest common factor of 46 and 759. 23 Calculate the highest common divisor of 180 and 160. 20 Calculate the highest common factor of 24 and 93. 3 Calculate the greatest common factor of 26 and 793. 13 What is the highest common divisor of 42547 and 157? 157 What is the greatest common divisor of 440 and 20? 20 What is the greatest common divisor of 600 and 24? 24 What is the highest common divisor of 49756 and 28? 28 What is the greatest common factor of 160 and 128? 32 Calculate the greatest common factor of 75 and 5955. 15 Calculate the highest common factor of 270 and 210. 30 Calculate the highest common factor of 786 and 6. 6 What is the greatest common factor of 21 and 7476? 21 Calculate the greatest common factor of 10 and 58690. 10 Calculate the highest common factor of 34 and 15674. 34 What is the greatest common factor of 90 and 60? 30 What is the greatest common factor of 125 and 10? 5 Calculate the greatest common factor of 26 and 6656. 26 Calculate the highest common divisor of 49 and 539. 49 What is the highest common factor of 368 and 1242? 46 What is the highest common factor of 38 and 57? 19 What is the greatest common factor of 27 and 1539? 27 What is the greatest common divisor of 51 and 357? 51 What is the greatest common factor of 72 and 752? 8 Calculate the greatest common factor of 247 and 26. 13 Calculate the highest common factor of 391 and 153. 17 What is the highest common factor of 57 and 7885? 19 What is the highest common factor of 362 and 1991? 181 Calculate the greatest common divisor of 3686 and 776. 194 Calculate the highest common factor of 560 and 48. 16 What is the highest common divisor of 3840 and 15? 15 What is the highest common factor of 3970 and 20? 10 What is the greatest common factor of 2892 and 60? 12 Calculate the greatest common factor of 282 and 6. 6 Calculate the greatest common divisor of 40 and 1280. 40 Calculate the highest common divisor of 15250 and 10. 10 Calculate the highest common divisor of 13 and 3. 1 Calculate the greatest common factor of 950 and 275. 25 Calculate the highest common factor of 60 and 900. 60 What is the greatest common divisor of 109 and 14824? 109 Calculate the highest common factor of 1 and 101. 1 Calculate the highest common divisor of 27 and 90. 9 What is the greatest common divisor of 280 and 35? 35 What is the greatest common factor of 782 and 272? 34 Calculate the greatest common factor of 184 and 1242. 46 What is the greatest common divisor of 14004 and 4? 4 Calculate the highest common divisor of 88 and 8. 8 Calculate the greatest common divisor of 177 and 295. 59 Calculate the greatest common divisor of 150 and 575. 25 What is the highest common factor of 8 and 74? 2 Calculate the greatest common divisor of 364 and 26. 26 Calculate the greatest common factor of 15 and 1137. 3 Calculate the highest common divisor of 935 and 3179. 187 What is the greatest common factor of 6 and 1128? 6 Calculate the highest common factor of 308 and 364. 28 What is the highest common factor of 124 and 3658? 62 Calculate the highest common divisor of 137 and 1. 1 Calculate the highest common factor of 8 and 88. 8 What is the greatest common divisor of 6468 and 98? 98 What is the highest common factor of 12 and 2084? 4 What is the greatest common divisor of 266 and 7049? 133 What is the greatest common divisor of 1029 and 294? 147 Calculate the highest common divisor of 430 and 258. 86 What is the greatest common factor of 54 and 243? 27 Calculate the highest common divisor of 152 and 8. 8 What is the greatest common factor of 75 and 390? 15 What is the greatest common factor of 657 and 73? 73 What is the highest common factor of 45 and 333? 9 Calculate the greatest common divisor of 450 and 100. 50 What is the greatest common factor of 63 and 147? 21 Calculate the highest common factor of 7 and 1092. 7 What is the highest common factor of 80 and 128? 16 Calculate the greatest common divisor of 12013 and 123. 41 What is the highest common factor of 15 and 35? 5 What is the highest common factor of 414 and 54? 18 Calculate the highest common divisor of 81 and 837. 27 Calculate the highest common divisor of 876 and 12. 12 What is the highest common factor of 3616 and 565? 113 Calculate the greatest common factor of 885 and 255. 15 What is the highest common factor of 189 and 5103? 189 Calculate the greatest common divisor of 230 and 92. 46 Calculate the greatest common divisor of 297 and 216. 27 What is the highest common factor of 7651 and 7? 7 What is the greatest common divisor of 34 and 527? 17 Calculate the greatest common divisor of 891 and 11. 11 What is the greatest common divisor of 95 and 342? 19 What is the greatest common factor of 280 and 2? 2 What is the greatest common divisor of 1250 and 10? 10 What is the greatest common factor of 700 and 35? 35 Calculate the greatest common factor of 24448 and 382. 382 What is the highest common factor of 87 and 783? 87 What is the greatest common divisor of 165 and 473? 11 Calculate the greatest common divisor of 64 and 1184. 32 What is the highest common divisor of 1332 and 306? 18 Calculate the highest common factor of 248 and 6696. 248 Calculate the greatest common divisor of 546 and 462. 42 What is the greatest common divisor of 11016 and 12? 12 Calculate the greatest common factor of 2726 and 406. 58 What is the greatest common factor of 187 and 51? 17 Calculate the greatest common factor of 374 and 272. 34 Calculate the greatest common factor of 395 and 125. 5 What is the highest common factor of 95 and 38? 19 Calculate the highest common divisor of 69 and 15. 3 What is the greatest common divisor of 168 and 5670? 42 What is the highest common factor of 66 and 1331? 11 Calculate the greatest common factor of 393 and 3. 3 What is the greatest common divisor of 442 and 1066? 26 What is the highest common factor of 999 and 45? 9 Calculate the highest common factor of 93 and 26381. 31 Calculate the highest common divisor of 54 and 8. 2 What is the greatest common divisor of 11 and 286? 11 Calculate the greatest common factor of 102 and 221. 17 What is the greatest common factor of 4325 and 346? 173 What is the greatest common divisor of 402 and 2144? 134 Calculate the highest common divisor of 22660 and 55. 55 Calculate the greatest common divisor of 442 and 26. 26 Calculate the greatest common divisor of 15 and 1920. 15 What is the highest common factor of 304 and 266? 38 Calculate the highest common divisor of 3 and 6081. 3 What is the highest common divisor of 2162 and 276? 46 What is the highest common divisor of 6 and 12? 6 Calculate the greatest common divisor of 6752 and 1477. 211 Calculate the highest common factor of 72 and 7980. 12 Calculate the highest common factor of 208 and 12584. 104 Calculate the greatest common divisor of 36295 and 170. 85 Calculate the greatest common divisor of 12 and 204. 12 Calculate the highest common divisor of 1144 and 546. 26 Calculate the greatest common factor of 22 and 428. 2 Calculate the highest common factor of 10 and 15. 5 Calculate the greatest common divisor of 402 and 56481. 201 Calculate the greatest common divisor of 15 and 255. 15 Calculate the greatest common factor of 104 and 11024. 104 What is the greatest common factor of 494 and 38? 38 What is the greatest common factor of 112 and 304? 16 Calculate the greatest common divisor of 1026 and 54. 54 What is the highest common divisor of 72 and 48? 24 Calculate the greatest common divisor of 900 and 110. 10 What is the highest common factor of 5183 and 142? 71 What is the greatest common factor of 40 and 1240? 40 What is the greatest common divisor of 8165 and 138? 23 What is the highest common divisor of 1577 and 83? 83 What is the highest common divisor of 41 and 7913? 41 Calculate the highest common factor of 95 and 51490. 95 Calculate the highest common divisor of 803 and 6935. 73 Calculate the highest common divisor of 32177 and 23. 23 What is the highest common factor of 247 and 702? 13 Calculate the highest common divisor of 207 and 9. 9 Calculate the greatest common divisor of 48706 and 28. 14 What is the highest common divisor of
{ "pile_set_name": "DM Mathematics" }
ded by 2 -68828442 Divide 13552827 by 202281. 67 Calculate -1076938625 divided by -5107. 210875 Divide 53868150 by 98. 549675 Divide -148333035 by -1787145. 83 Divide -12002260 by -27340. 439 Divide -21865756 by -1987796. 11 What is 3405595 divided by 12? 3405595/12 Calculate -436343379 divided by 139. -3139161 -1 divided by 2728986 -1/2728986 -12161304 divided by 7 -12161304/7 Divide -3558 by 20790. -593/3465 Calculate -26891361 divided by -3841623. 7 4928158 divided by -2 -2464079 Divide -4 by -1924349. 4/1924349 Calculate 67 divided by 45825. 67/45825 Calculate -703498 divided by -134. 351749/67 Divide -628 by -36580. 157/9145 What is -700767936 divided by -175191984? 4 Divide 234856612 by -58714153. -4 Divide 28 by 304723. 28/304723 Divide -3502 by 23083. -3502/23083 Divide -55231080 by -7801. 7080 -29179095 divided by -11 2652645 Divide -302653441 by -1. 302653441 Divide -3857184 by -6. 642864 Calculate 18429150 divided by -9214575. -2 14107694 divided by -46 -306689 Divide -144255 by 2038. -144255/2038 What is 3587680 divided by 4? 896920 What is -20090 divided by -1204? 1435/86 18337872 divided by 1 18337872 Calculate 111891998 divided by 4. 55945999/2 Divide 1231206 by 16. 615603/8 21069763 divided by 1 21069763 73965000 divided by -18491250 -4 Divide 703423925 by 5. 140684785 What is -11838360 divided by -394612? 30 Calculate 5 divided by 2073163. 5/2073163 Calculate 4 divided by -75203. -4/75203 What is 455924115 divided by 879? 518685 2007122 divided by -26 -77197 Calculate 46347593 divided by 986119. 47 What is 5281450 divided by -3? -5281450/3 -10 divided by 938979 -10/938979 Calculate 133076405 divided by -397243. -335 Calculate -2435502498 divided by 6. -405917083 -411235 divided by -411235 1 Calculate 15607490 divided by 1560749. 10 What is -1243972 divided by 3? -1243972/3 Divide -27567 by 2601. -3063/289 What is 844036 divided by -10684? -79 Divide -2186553 by -31. 2186553/31 Divide 42189088 by -4. -10547272 What is 259598240 divided by -30613? -8480 What is -17 divided by -415740? 17/415740 What is -621 divided by 34370? -621/34370 -44 divided by -104129 44/104129 What is 13191799 divided by 216259? 61 -6 divided by -1545918 1/257653 Divide 1 by -1290425. -1/1290425 Calculate -150 divided by 398229. -50/132743 Divide 30267123 by 6. 10089041/2 Divide 17987804 by -2. -8993902 25343338 divided by -25343338 -1 -2966355 divided by 15 -197757 Calculate -8864786 divided by -578. 15337 Calculate 69024 divided by 280. 8628/35 Divide 6777732 by 294684. 23 What is -76 divided by 1208375? -76/1208375 Divide -128848689 by -111. 1160799 Calculate 71191 divided by -3654. -71191/3654 Divide -26989952 by 6747488. -4 Calculate -101035520 divided by 31232. -3235 14122 divided by -2131 -14122/2131 Divide 272322 by -1064. -136161/532 Calculate -4171968 divided by 7243. -576 What is 1615437 divided by 1273? 1269 Divide 119 by -2872305. -119/2872305 -265865391 divided by 99 -2685509 What is -11974042 divided by -958? 12499 What is -67448275 divided by -2697931? 25 -4244582 divided by -2 2122291 Calculate 33037696 divided by 4. 8259424 Divide 2 by 41511964. 1/20755982 Calculate 6071635 divided by -4. -6071635/4 Divide -542740401 by -180913467. 3 Divide -14232750 by -5. 2846550 Divide 8208298 by -4627. -1774 Divide 321294404 by -80323601. -4 What is 27102740 divided by 1748? 15505 Calculate -30745376 divided by 16. -1921586 Divide 3283719 by -67. -3283719/67 What is -17 divided by 1747317? -17/1747317 Divide -56729 by -212. 56729/212 Calculate 10401110 divided by -611830. -17 Calculate 36352776 divided by -8247. -4408 -70 divided by -1469639 70/1469639 10 divided by -15253562 -5/7626781 Divide -38124688 by -18652. 2044 -2610912 divided by -8 326364 Divide 24114682 by 2. 12057341 -969 divided by 5475 -323/1825 Divide 28 by -267288. -1/9546 -67512705 divided by -13502541 5 Calculate 132158 divided by 1755. 10166/135 -342754362 divided by 141 -2430882 Divide -1 by 439475. -1/439475 What is 51013 divided by -17? -51013/17 -422532840 divided by -105633210 4 What is -60586 divided by 100? -30293/50 What is 838552 divided by -97? -838552/97 Divide 54342800 by -200. -271714 -245729430 divided by 5 -49145886 6885 divided by 8691 2295/2897 Divide 42546021 by 23. 1849827 What is 306612690 divided by 54606? 5615 Calculate -194187 divided by 36. -64729/12 What is 279901 divided by 26? 279901/26 Calculate -41785404 divided by 174. -240146 Divide 65093528 by -1. -65093528 4552525 divided by -94 -4552525/94 Calculate -2274310 divided by -227431. 10 What is 331162094 divided by 165581047? 2 Calculate -3714 divided by 1945. -3714/1945 Calculate 1 divided by 7838268. 1/7838268 1 divided by 157611702 1/157611702 Divide 5 by -4252762. -5/4252762 Divide 593702 by -40. -296851/20 Divide -7542873 by 75. -2514291/25 Divide -264596 by 34. -132298/17 -614 divided by -54922 307/27461 Divide 14034715 by 3. 14034715/3 Divide 29391822 by -19098. -1539 Calculate 197043 divided by 77. 2559 Divide -5 by -471840. 1/94368 What is 13 divided by 254390? 13/254390 Divide 14807120 by 7403560. 2 11802348 divided by 8982 1314 What is 657846 divided by 6? 109641 What is -11495618 divided by -107? 11495618/107 Calculate -3043408 divided by -2. 1521704 What is -40214935 divided by 4? -40214935/4 Divide -5 by -51748943. 5/51748943 Divide -1240323668 by -53927116. 23 What is 86010854 divided by -117181? -734 31757759 divided by -19 -1671461 Calculate 4950 divided by -1697. -4950/1697 Divide -1649767362 by -26609151. 62 -355 divided by 266605 -1/751 Calculate 7359156 divided by -3679578. -2 Divide -2804253 by 1. -2804253 Divide 897605 by 41. 897605/41 Calculate -35550804 divided by 596. -59649 Divide 64046524 by 16011631. 4 -108788680 divided by 35321 -3080 65810232 divided by -648 -101559 Calculate 21656574 divided by 206. 105129 Calculate -145560 divided by 781. -145560/781 What is 104760500 divided by 52380250? 2 -5289289 divided by 38 -5289289/38 Divide -1541 by -193. 1541/193 What is -57691251 divided by 57749? -999 Divide -2883 by 1416. -961/472 -11032528 divided by -11 11032528/11 15254368 divided by -1 -15254368 Divide -112052310 by -5897490. 19 -178 divided by 78307 -178/78307 116741987 divided by 7 116741987/7 Divide 26125 by -2948. -2375/268 -5 divided by 19086588 -5/19086588 Divide -1288 by 2074. -644/1037 23560188 divided by 5890047 4 Divide -347 by 1831. -347/1831 Calculate -115504680 divided by -962539. 120 Divide 88 by 133877. 88/133877 Divide -168369984 by -28061664. 6 Calculate 6 divided by -50415183. -2/16805061 Divide -3 by 143007508. -3/143007508 Calculate 2 divided by -18698241. -2/18698241 What is -102853 divided by -973? 102853/973 Calculate 10481 divided by 1286. 10481/1286 953749752 divided by 2 476874876 Divide -4 by 439137238. -2/219568619 What is -4301608 divided by 7864? -547 Divide -883 by 1308. -883/1308 -6172890 divided by -6 1028815 What is -2657886 divided by -4? 1328943/2 What is 57 divided by -18591? -19/6197 27150 divided by -292 -13575/146 2059610656 divided by 4 514902664 What is -5149686980 divided by -4? 1287421745 What is 53159 divided by -15961? -53159/15961 Calculate -350 divided by 9856. -25/704 -11561671 divided by -1051061 11 What is 74112220 divided by 182? 407210 -251844714 divided by 10341 -24354 787617 divided by -8469 -93 Calculate -16890432 divided by 416. -40602 Divide 44 by -100186. -22/50093 Calculate -1405761 divided by -147. 9563 20 divided by -10669 -20/10669 Divide 5 by 3794554. 5/3794554 -4286448 divided by 267903 -16 Calculate -175856 divided by -324. 43964/81 83406858 divided by -282 -295769 Divide -1113144464 by -6. 556572232/3 Calculate 110262170 divided by -4. -55131085/2 Divide -22835139 by 22. -22835139/22 Calculate 7391349 divided by -2463783. -3 376089 divided by -7 -53727 Calculate -7681632 divided by -7952. 966 Divide 87470 by -4150. -8747/415 Divide 256891320 by -36. -7135870 What is 115577798 divided by 16511114? 7 14829 divided by 382 14829/382 What is 30954 divided by 6? 5159 12030850 divided by -2075 -5798 What is 3 divided by -726821? -3/726821 -6 divided by 14539530 -1/2423255 Calculate 17 divided by -402332. -17/402332 Calculate -2072360 divided by -518090. 4 Divide -8544126 by 53. -8544126/53 What is 11901334 d
{ "pile_set_name": "DM Mathematics" }
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-22429 What comes next: -53, 58, 169, 280? 391 What is next in 16602, 16606, 16600, 16578, 16534? 16462 What comes next: -1885, -2057, -2359, -2803, -3401, -4165? -5107 What is next in 127, 232, 423, 706, 1087, 1572, 2167, 2878? 3711 What is the next term in 881, 7128, 24097, 57152, 111657, 192976, 306473? 457512 What is the next term in -732, -1651, -2758, -4053, -5536, -7207? -9066 What is the next term in 865, 890, 919, 952? 989 What comes next: -3610003, -3610002, -3610001, -3610000, -3609999, -3609998? -3609997 What comes next: 6429159, 6429163, 6429177, 6429207, 6429259? 6429339 What is next in 69, 421, 1353, 3153, 6109? 10509 What is the next term in -494, -261, -28? 205 What is the next term in -5177, -10313, -15427, -20519, -25589? -30637 What is next in -1591, -6467, -14637, -26101, -40859, -58911? -80257 What is the next term in -127, -261, -395, -529, -663, -797? -931 What is next in 18983, 75954, 170905, 303836, 474747? 683638 What is the next term in 1080, 2165, 3258, 4365, 5492, 6645, 7830, 9053? 10320 What is next in -154091, -616365, -1386821, -2465459, -3852279? -5547281 What is the next term in 6287, 6289, 6291? 6293 What is next in -658, -721, -784? -847 What comes next: 5969, 11940, 17911? 23882 What is the next term in 611242, 611256, 611278, 611308, 611346, 611392? 611446 What comes next: 570, 560, 552, 546? 542 What comes next: -522, -1049, -1576, -2103? -2630 What is next in -3559, -3570, -3581? -3592 What is next in 1604, 6206, 13876, 24614, 38420, 55294? 75236 What is the next term in 3921, 4398, 4875? 5352 What is the next term in 23890, 23805, 23720, 23635? 23550 What is the next term in 2000, 8021, 18064, 32129, 50216, 72325? 98456 What is the next term in -2044, -3268, -4492, -5716, -6940, -8164? -9388 What comes next: 2542, 2596, 2734, 2998, 3430, 4072? 4966 What is next in -165, -291, -423, -561, -705? -855 What is next in 697, 1393, 2091, 2791, 3493? 4197 What is the next term in 70475, 281860, 634167, 1127402, 1761571, 2536680, 3452735? 4509742 What comes next: 10582, 10568, 10538, 10486, 10406, 10292? 10138 What is next in -166, -1510, -5220, -12478, -24466, -42366, -67360, -100630? -143358 What comes next: -207931, -207921, -207907, -207889, -207867, -207841, -207811? -207777 What is the next term in 9551, 9542, 9531, 9518, 9503, 9486? 9467 What comes next: -2676, -2682, -2692, -2706, -2724, -2746, -2772? -2802 What is next in 17, -145, -309, -475, -643? -813 What is next in -3038, -6067, -9072, -12041, -14962? -17823 What comes next: 3895, 7786, 11687, 15604, 19543? 23510 What is next in 89, 25, -89, -253, -467, -731? -1045 What comes next: 62, 632, 2162, 5126, 9998? 17252 What is next in 48, -361, -1460, -3597, -7120, -12377, -19716? -29485 What is next in -353011, -706019, -1059027, -1412035, -1765043? -2118051 What is the next term in -13541, -27078, -40615? -54152 What is the next term in -3945, -15550, -34893, -61974? -96793 What is the next term in 189999, 190008, 190017, 190026, 190035? 190044 What comes next: -16347, -16375, -16405, -16437? -16471 What comes next: -60, -124, -228, -366, -532, -720, -924, -1138? -1356 What is the next term in 361502, 361500, 361498, 361496? 361494 What comes next: 1335, 1597, 1859, 2121, 2383, 2645? 2907 What comes next: 4456, 4455, 4454, 4453, 4452? 4451 What comes next: -152005, -152003, -151999, -151993, -151985, -151975, -151963? -151949 What comes next: -3632, -7250, -10882, -14534, -18212, -21922, -25670, -29462? -33304 What is next in -333, -896, -1453, -2004, -2549, -3088? -3621 What comes next: -339892, -339891, -339890, -339889? -339888 What is the next term in 13154, 26159, 39160, 52157, 65150? 78139 What is next in -12855, -12867, -12879, -12891, -12903, -12915? -12927 What is the next term in 1736, 1730, 1724, 1718, 1712, 1706? 1700 What comes next: -20669, -20668, -20667? -20666 What is next in 313446, 626893, 940340, 1253787, 1567234, 1880681? 2194128 What is next in 1106, 1978, 4350, 8972, 16594? 27966 What comes next: 33, 85, 243, 561, 1093, 1893, 3015, 4513? 6441 What comes next: 148, 328, 508? 688 What is the next term in 945, 7092, 23777, 56268, 109833, 189740, 301257? 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-1 What is the next term in 903, 1935, 2967, 3999, 5031, 6063? 7095 What is next in -655421, -1310842, -1966263, -2621684? -3277105 What comes next: -1, -375, -999, -1873? -2997 What is next in -1322, -1320, -1318, -1316, -1314, -1312? -1310 What comes next: 6454, 6430, 6398, 6364, 6334, 6314, 6310? 6328 What is next in 214, 342, 556, 856, 1242? 1714 What comes next: 241, 205, 145, 61? -47 What is the next term in -43, -96, -163, -244, -339, -448? -571 What is next in -1252, -1321, -1390, -1459, -1528, -1597? -1666 What comes next: 1432, 1515, 1596, 1675, 1752, 1827, 1900? 1971 What is next in -546, -1261, -1976, -2691, -3406, -4121? -4836 What is the next term in -56605, -113220, -169835? -226450 What is next in 29897, 29905, 29913, 29921? 29929 What is next in -16581, -16671, -16821, -17031, -17301? -17631 What is next in 4, -15, -38, -65, -96? -131 What comes next: -3807, -7515, -11211, -14889, -18543, -22167, -25755? -29301 What is the next term in
{ "pile_set_name": "DM Mathematics" }
. 3*(h - 992635)**2 Find z such that -2*z**3 - 10132*z**2 + 244032*z - 1465920 = 0. -5090, 12 Solve -4*n**4 - 99908*n**3 + 499608*n**2 - 799408*n + 399712 = 0 for n. -24982, 1, 2 Factor -j**2/4 + 3312*j - 10969344. -(j - 6624)**2/4 What is m in m**5/2 + 6488*m**4 + 28025916*m**3 + 40141375435*m**2 - 1379374763257*m/2 + 1218584950365 = 0? -4331, 2, 15 Solve -2*a**4/13 + 46*a**3/13 + 122*a**2/13 - 526*a/13 - 600/13 = 0 for a. -4, -1, 3, 25 Factor -2*x**3 + 458*x**2 + 107888*x + 213928. -2*(x - 374)*(x + 2)*(x + 143) Factor -4*r**2 + 1469*r/2 - 37485/2. -(r - 153)*(8*r - 245)/2 Suppose -3*g**4/7 - 14316*g**3/7 - 14313*g**2/7 = 0. Calculate g. -4771, -1, 0 Factor -4*u**3 + 57216*u**2 - 204718800*u + 817960000. -4*(u - 7150)**2*(u - 4) Solve -3*s**5 + 782*s**4 - 44343*s**3 - 14868*s**2 = 0 for s. -1/3, 0, 84, 177 Factor o**3/7 - 85229*o**2/7 + 1816208664*o/7 - 9078912720/7. (o - 42612)**2*(o - 5)/7 Determine i, given that 4*i**3 + 728*i**2 - 3764*i - 4488 = 0. -187, -1, 6 Suppose -3*q**4/7 - 6*q**3 + 963*q**2/7 - 2430*q/7 = 0. Calculate q. -27, 0, 3, 10 Find o such that 4*o**5/5 + 104*o**4 - 20004*o**3/5 + 123336*o**2/5 + 773712*o/5 + 629856/5 = 0. -162, -3, -1, 18 Factor -5*x**2 + 195445*x. -5*x*(x - 39089) Factor -70*j**2/13 - 7758*j/13. -2*j*(35*j + 3879)/13 Determine i, given that 82*i**3/9 - 338*i**2/9 + 40*i/9 = 0. 0, 5/41, 4 Factor -2*m**3 + 9804*m**2 - 195280*m. -2*m*(m - 4882)*(m - 20) Factor x**5 - 109*x**4 + 862*x**3 + 137088*x**2 - 416160*x. x*(x - 68)**2*(x - 3)*(x + 30) Factor c**2/3 + 599*c/3 - 804. (c - 4)*(c + 603)/3 Determine a so that 4*a**3 + 20316*a**2 = 0. -5079, 0 Determine a so that 3*a**2 + 3800544*a + 1203677891328 = 0. -633424 Factor 3*q**4 + 1227*q**3 - 50958*q**2. 3*q**2*(q - 38)*(q + 447) What is l in 4*l**2/5 - 276*l - 1384/5 = 0? -1, 346 Determine b, given that 3*b**4 - 1173*b**3 + 15981*b**2 - 55419*b = 0. 0, 7, 377 Factor 2*y**3/9 - 232*y**2/9. 2*y**2*(y - 116)/9 Factor 3*m**2 - 16692*m - 33396. 3*(m - 5566)*(m + 2) What is j in -135825985200*j**2 + 1276680*j - 3 = 0? 1/212780 Factor -q**5 + 24*q**4 - 224*q**3 + 1008*q**2 - 2160*q + 1728. -(q - 6)**3*(q - 4)*(q - 2) Factor -32*f**3 + 12182960*f**2 + 6091486*f + 761436. -2*(f - 380718)*(4*f + 1)**2 Find j such that 45*j**4/4 + 2523155*j**3/4 + 17683006095*j**2/2 - 16703007720*j - 1965043240 = 0. -28036, -1/9, 2 Determine a, given that 4*a**5 - 341*a**4 + 2013*a**3 - 3010*a**2 + 632*a = 0. 0, 1/4, 2, 4, 79 Factor y**3/4 - 115*y**2/2 + 1767*y/4 + 999/2. (y - 222)*(y - 9)*(y + 1)/4 Factor -2*r**2/11 + 1692*r/11 - 6416. -2*(r - 802)*(r - 44)/11 Solve -141*r**5/5 + 8748*r**4/5 - 115992*r**3/5 - 655806*r**2/5 + 795861*r/5 - 6534 = 0. -5, 2/47, 1, 33 Suppose 57*x**3/4 + 543159*x**2/4 + 28587*x/2 = 0. What is x? -9529, -2/19, 0 Let -2*a**5/9 + 8666*a**4/3 - 112649332*a**3/9 + 162703162076*a**2/9 + 37549778*a/3 - 162703188074/9 = 0. What is a? -1, 1, 4333 Find l, given that 20*l**5/7 - 1894*l**4/7 + 33370*l**3/7 + 83842*l**2/7 + 59898*l/7 + 1620 = 0. -1, -3/10, 27, 70 Factor -4*s**2 - 76356*s. -4*s*(s + 19089) Determine h, given that 2*h**4 - 49240*h**3 + 303809900*h**2 - 9081087000*h + 68025161250 = 0. 15, 12295 Let 27*y**2 - 345093*y + 76686 = 0. Calculate y. 2/9, 12781 Solve 7*q**4 - 1181*q**3 - 19892*q**2 + 37536*q = 0 for q. -17, 0, 12/7, 184 Suppose -137*m**5/3 + 410*m**4/3 - 271*m**3/3 - 2*m**2/3 = 0. What is m? -1/137, 0, 1, 2 Factor 2*q**2/7 - 56724*q/7. 2*q*(q - 28362)/7 Find r such that -3*r**2/4 + 2043501*r/2 - 1391965445667/4 = 0. 681167 Solve -g**2/4 - 25359*g/4 - 12679/2 = 0. -25358, -1 Factor 3*d**3 - 24*d**2 - 3324*d + 32640. 3*(d - 32)*(d - 10)*(d + 34) Factor 3*w**2/8 - 525009*w/8 - 131253/2. 3*(w - 175004)*(w + 1)/8 Factor -5*k**3 - 8635*k**2 + 69320*k - 138800. -5*(k - 4)**2*(k + 1735) Let 2*q**3/11 - 1860*q**2/11 + 534264*q/11 - 48828656/11 = 0. Calculate q. 226, 478 Let 12*l**4 - 458876*l**3 + 305912*l**2 = 0. What is l? 0, 2/3, 38239 Solve 20*i**4 - 666268*i**3 + 5548046776*i**2 + 14431824880*i - 19979205408 = 0. -18/5, 1, 16658 Factor 2*b**3/5 + 518*b**2/5 - 7252*b/5 - 9792. 2*(b - 18)*(b + 5)*(b + 272)/5 Factor -2*z**2/13 - 6392*z/13 - 25536/13. -2*(z + 4)*(z + 3192)/13 Factor 3*k**3 - 480*k**2 + 6204*k - 10512. 3*(k - 146)*(k - 12)*(k - 2) Let 3*t**2/2 + 193503*t/2 = 0. Calculate t. -64501, 0 Suppose 5*z**5 + 6890*z**4 - 13995*z**3 - 268900*z**2 + 278000*z + 2760000 = 0. Calculate z. -1380, -4, 5 Factor t**2/10 - 2511*t/5 + 5021/10. (t - 5021)*(t - 1)/10 Determine q so that 3*q**5/2 + 8550*q**4 + 51273*q**3/2 = 0. -5697, -3, 0 Suppose 560*b**4/3 - 5*b**3 - 2290*b**2/3 + 20*b + 200/3 = 0. What is b? -2, -2/7, 5/16, 2 Factor -2*r**3/3 - 2030*r**2/3 - 51766*r/3 - 334282/3. -2*(r + 13)**2*(r + 989)/3 Factor -y**5 - 1800*y**4 + 1801*y**3. -y**3*(y - 1)*(y + 1801) Solve 4*d**3 - 24*d**2 - 96*d + 256 = 0 for d. -4, 2, 8 Solve 14*l**5 + 914*l**4 - 20404*l**3 + 131688*l**2 - 257040*l - 84672 = 0 for l. -84, -2/7, 6, 7 Find q, given that 5*q**3 - 90*q**2 - 195*q - 100 = 0. -1, 20 Factor -2*w**2 + 468572*w - 27444964898. -2*(w - 117143)**2 What is f in 2*f**2 + 1472*f + 1470 = 0? -735, -1 Determine w, given that -24*w**3/11 + 378*w**2/11 + 4896*w + 13440/11 = 0. -40, -1/4, 56 Determine y, given that -2*y**2 + 1636*y + 68640 = 0. -40, 858 Factor -3*v**2 + 996*v - 15168. -3*(v - 316)*(v - 16) Let y**5/2 - 670*y**4 + 446213*y**3/2 + 899809*y**2 + 1127616*y + 451584 = 0. What is y? -2, -1, 672 Factor -3*o**3 + 67284*o**2 - 377261388*o. -3*o*(o - 11214)**2 Suppose j**5/3 + 80*j**4 + 6524*j**3/3 + 15670*j**2 - 2175*j - 15750 = 0. Calculate j. -210, -15, -1, 1 Find q such that -q**3/9 - 847*q**2/9 + 8698*q/3 - 21048 = 0. -877, 12, 18 Solve -21*t**2/2 + 7479*t/2 - 4260 = 0 for t. 8/7, 355 Determine b, given that 3*b**2 - 60876*b + 425985 = 0. 7, 20285 Factor -w**2/3 + 503*w/3 - 8732. -(w - 444)*(w - 59)/3 Determine w, given that -2*w**3/3 + 1258*w**2 - 15064*w/3 = 0. 0, 4, 1883 Find z such that z**3 + 14061*z**2 + 49434960*z + 49420900 = 0. -7030, -1 Let 4*x**5 + 56*x**4 - 276*x**3 + 216*x**2 = 0. What is x? -18, 0, 1, 3 Determine i, given that -i**4/7 - 14*i**3 - 2640*i**2/7 - 10750*i/7 + 34375 = 0. -55, -25, 7 Suppose -4*i**2 - 248*i + 11532 = 0. Calculate i. -93, 31 Determine x, given that 21*x**3/5 - 4727*x**2/5 + 5154*x/5 - 448/5 = 0. 2/21, 1, 224 Let x**4/8 - 7*x**3 - 309*x**2/2 - 872*x - 1184 = 0. Calculate x. -8, -2, 74 Suppose -2*b**2/9 + 56180*b/9 - 74896/3 = 0. Calculate b. 4, 28086 Solve -3*k**4 - 304950*k**3 - 1219767*k**2 - 1524696*k - 609876 = 0. -101646, -2, -1 Determine u, given that 4*u**5 + 188*u**4 - 164*u**3 - 70332*u**2 + 44640*u + 4981824 = 0. -31, -9, 12 Factor -2*o**3 + 1584*o**2 - 1570*o - 9492. -2*(o - 791)*(o - 3)*(o + 2) Determine g, given that -g**3 - 1514*g**2 - 568480*g + 3465600 = 0. -760, 6 Factor -2*n**3/11 - 6322*n**2/11. -2*n**2*(n + 3161)/11 Find b, given that -b**5/4 - 293*b**4/4 - 5098*b**3 + 39975*b**2 + 45000*b = 0. -150, -1, 0, 8 What is q in -14*q**5/13 + 4906*q**4/13 - 24306*q**3/13 + 43622*q**2/13 - 33880*q/13 + 744 = 0? 1, 2, 2418/7 Factor 4*v**2 - 163580*v. 4*v*(v - 40895) Find n such that -155*n**5 - 2645*n**4 - 12105*n**3 - 20455*n**2 - 11500*n - 660 = 0. -11, -3, -2, -1, -2/31 Suppose 4*m**2/3 - 1568*m/3 + 39188 = 0. Calculate m. 101, 291 Factor -c**4 + 241*c**3 + 44252*c**2 + 1654272*c + 4571136. -(c - 372)*(c + 3)*(c + 64)**2 Suppose -165*c**4 - 68155*c**3 + 554890*c**2 + 1423180*c + 84200 = 0. Calculate c. -421, -2, -2/33, 10 Factor -2*k**3 - 4080*k**2 - 2043594*k + 38118276. -2*(k - 18)*(k + 1029)**2 Let z**5/2 + 33*z**4/2 + 241*z**3/2 + 627*z**2/2 + 329*z + 120 = 0. What is z? -24, -5, -2, -1 Suppose -3*c**3/4 + 237*c**2/4 + 1011*c/4 - 1245/4 = 0. Calculate c. -5, 1, 83 Suppose 3*o**4 - 16794*o**3 + 23503203*o**2 = 0. Calculate o. 0, 2799 Suppose 2*m**5 + 28*m**4 + 42*m**3 - 352*m**2 + 280*m = 0. Calculate m. -10, -7, 0, 1, 2 What is a in -2*a**4/5 + 18*a**3/5 + 98*a**2/5 - 882*a/5 = 0? -7, 0, 7, 9 Suppose -2*l**5/19 + 25976*l**4/19 - 84214106*l**3/19 - 843908212*l**2/19 - 2702336192*l/19 - 2703168064/19 = 0. What is l? -4, -2, 6499 Factor 2*c**2/5 + 2282*c/5 + 4524. 2*(c + 10)*(c + 1131)/5 Factor m**4/3 - 7*m**3 - 48*m**2 + 364*m/3. m*(m - 26)*(m - 2)*(m + 7)/3 Let -h**2/5 - 65780*h - 5408760500 = 0. Calcu
{ "pile_set_name": "DM Mathematics" }
1, 3, 5 Sort 3, 6.5, -1/4, -2/21. -1/4, -2/21, 3, 6.5 Put -4, 1, 6, 0.2 in descending order. 6, 1, 0.2, -4 Sort -0.5, -1/3, 0.5. -0.5, -1/3, 0.5 Put -2, -3/7, 3, -2/13 in decreasing order. 3, -2/13, -3/7, -2 Sort -0.45, -2, -0.3. -2, -0.45, -0.3 Sort -2, 78, 4 in descending order. 78, 4, -2 Sort -0.3, -3/2, 2/5, 0.5. -3/2, -0.3, 2/5, 0.5 Put -1, 4, -1041, 5 in descending order. 5, 4, -1, -1041 Sort 2, 5, -4, -3, 106. -4, -3, 2, 5, 106 Sort -4, 1/2, -6/37, -4/3 in decreasing order. 1/2, -6/37, -4/3, -4 Put -20, 3, 5, 2 in descending order. 5, 3, 2, -20 Sort -3, 10, 5. -3, 5, 10 Sort 3, 59, -2 in ascending order. -2, 3, 59 Sort 3, -3, -589, 5, 2 in ascending order. -589, -3, 2, 3, 5 Sort -2/3, 3, 1.32 in decreasing order. 3, 1.32, -2/3 Sort 5, 8, 9 in decreasing order. 9, 8, 5 Sort -0.1, 1.1, 0.3, 0.2 in decreasing order. 1.1, 0.3, 0.2, -0.1 Put 3, -2, 0, 51, -2/3 in descending order. 51, 3, 0, -2/3, -2 Put 17, 2, -4, -113, -2 in descending order. 17, 2, -2, -4, -113 Put 244, 0, -10, 2 in ascending order. -10, 0, 2, 244 Put -0.1, 7/6, 114 in increasing order. -0.1, 7/6, 114 Sort -5, 0, -1/15, 1.3 in ascending order. -5, -1/15, 0, 1.3 Sort -4/9, -4, -1.7, -3, 5. -4, -3, -1.7, -4/9, 5 Put -23, -3, 3, -4 in ascending order. -23, -4, -3, 3 Sort 7, 3, 1, -4 in ascending order. -4, 1, 3, 7 Put -5, 5, -3, -2, 4 in descending order. 5, 4, -2, -3, -5 Sort 5, 4, 3, -1. -1, 3, 4, 5 Put -1/4, 0.3, -1, 11/4, 4 in increasing order. -1, -1/4, 0.3, 11/4, 4 Put -0.3, 17, -5, -4 in ascending order. -5, -4, -0.3, 17 Put 140, -21, 3/7 in descending order. 140, 3/7, -21 Sort -30, 5, 7 in ascending order. -30, 5, 7 Sort -0.4, 25, -4/7. -4/7, -0.4, 25 Sort 4, 0.4, -0.1, -4, 8. -4, -0.1, 0.4, 4, 8 Put -5, -1/3, 0.5, 6/11 in ascending order. -5, -1/3, 0.5, 6/11 Sort 4, -0.2, -6, 2/19. -6, -0.2, 2/19, 4 Put -3, -90, 2, 4 in increasing order. -90, -3, 2, 4 Sort -0.5, -2/9, -12/5, -8 in decreasing order. -2/9, -0.5, -12/5, -8 Sort -22, 4, 1. -22, 1, 4 Sort -0.2, -8, -2/5, -13. -13, -8, -2/5, -0.2 Sort 6, 194, -2 in ascending order. -2, 6, 194 Put 1, 2/7, -3, 17 in increasing order. -3, 2/7, 1, 17 Sort -0.1, 0.02, 1/3, -186/13 in descending order. 1/3, 0.02, -0.1, -186/13 Sort -28, -5, 18. -28, -5, 18 Sort 3, 1, 1/17, 225. 1/17, 1, 3, 225 Sort -11, 16, 0 in increasing order. -11, 0, 16 Sort -34/35, -4, 0.2. -4, -34/35, 0.2 Sort 4, -4, -3, 1, 92 in increasing order. -4, -3, 1, 4, 92 Sort -4, -2/3, -40, -5, 0.06 in decreasing order. 0.06, -2/3, -4, -5, -40 Sort 4, 11, 3, 1 in decreasing order. 11, 4, 3, 1 Put -2, 1, -67 in descending order. 1, -2, -67 Put -2, -64, -5, 2, 1 in increasing order. -64, -5, -2, 1, 2 Sort -8, -0.3, 0.4, 51, -5. -8, -5, -0.3, 0.4, 51 Put 8/5, -0.2, 22 in decreasing order. 22, 8/5, -0.2 Put 2/13, 1/2, 82.4 in decreasing order. 82.4, 1/2, 2/13 Sort -3, 3, 2. -3, 2, 3 Put 25, 3/40, 2/13 in descending order. 25, 2/13, 3/40 Put 3, -16, 6, 5 in descending order. 6, 5, 3, -16 Sort -13, 8, 1. -13, 1, 8 Sort 3, 4, -4 in descending order. 4, 3, -4 Sort 15, -18, 4, -4, 3. -18, -4, 3, 4, 15 Put 1, -0.2, -1/2, 0.1 in ascending order. -1/2, -0.2, 0.1, 1 Sort 3, 64, -4 in ascending order. -4, 3, 64 Put 3, -2, -5, -90 in descending order. 3, -2, -5, -90 Sort -5, 5, 56, 18 in descending order. 56, 18, 5, -5 Put -0.32, -6, -81 in descending order. -0.32, -6, -81 Put 27, -183, 3 in descending order. 27, 3, -183 Sort 95, -5, -2 in ascending order. -5, -2, 95 Put 5/3, 2, 0.1, 0.03, 2/7 in decreasing order. 2, 5/3, 2/7, 0.1, 0.03 Sort 1361, 3, -5. -5, 3, 1361 Put -645, 3/4, 3 in descending order. 3, 3/4, -645 Put -18, -1/3, -2, 4 in descending order. 4, -1/3, -2, -18 Put -3, 229, 1/4 in descending order. 229, 1/4, -3 Put -1, 8498, -2/5, -0.1 in decreasing order. 8498, -0.1, -2/5, -1 Put -0.254, 1, 4/3, -2/13 in decreasing order. 4/3, 1, -2/13, -0.254 Put -3, -1, 3, -10 in descending order. 3, -1, -3, -10 Put 5, 12, 3, -1, 7 in ascending order. -1, 3, 5, 7, 12 Sort 11, 0, -263, 1 in decreasing order. 11, 1, 0, -263 Sort 1, 0, 0.5, -0.3 in increasing order. -0.3, 0, 0.5, 1 Sort 10, -1/3, -3/7, -2/3, -2 in increasing order. -2, -2/3, -3/7, -1/3, 10 Sort 5, -13472, -3, -5, -1 in descending order. 5, -1, -3, -5, -13472 Put 60, -1, 2, 3 in ascending order. -1, 2, 3, 60 Sort -4, 4, 0, -43. -43, -4, 0, 4 Sort 3, 0.1, -105, 138, 1/2 in increasing order. -105, 0.1, 1/2, 3, 138 Put -501, 2, 7 in descending order. 7, 2, -501 Put -5, -4, 1, -28 in decreasing order. 1, -4, -5, -28 Put -3/1084, 3, 0.3 in decreasing order. 3, 0.3, -3/1084 Sort -5, 3, -23, 1, 5 in ascending order. -23, -5, 1, 3, 5 Put -24, -25, -5 in ascending order. -25, -24, -5 Put 4, -9, -2 in decreasing order. 4, -2, -9 Sort 2, 3, -81 in increasing order. -81, 2, 3 Put -3, 17/27, -1 in ascending order. -3, -1, 17/27 Sort -4, 2, 1, 0, -19. -19, -4, 0, 1, 2 Sort -5, -4, 0.5, -0.3. -5, -4, -0.3, 0.5 Put 0, -0.092, 1/6 in increasing order. -0.092, 0, 1/6 Put 1, -0.1, -4/3, 0.5 in decreasing order. 1, 0.5, -0.1, -4/3 Sort 2, -344, -12 in descending order. 2, -12, -344 Sort 0.1, -1127, -5/2 in decreasing order. 0.1, -5/2, -1127 Put 2, -7, 1.9 in descending order. 2, 1.9, -7 Sort 3, 1/4, 0.12 in decreasing order. 3, 1/4, 0.12 Sort 8, -4, 3, -3, 5 in increasing order. -4, -3, 3, 5, 8 Sort -11, 0.4, 1/32 in decreasing order. 0.4, 1/32, -11 Sort -9, -0.5, 0, -4/17, -7 in ascending order. -9, -7, -0.5, -4/17, 0 Sort 3, -9, 0.5 in increasing order. -9, 0.5, 3 Put -5, -568, 0 in descending order. 0, -5, -568 Put 27, 1/3, -3 in decreasing order. 27, 1/3, -3 Sort 5/3, 3, 1/4, -3/61, -5 in decreasing order. 3, 5/3, 1/4, -3/61, -5 Sort 0.4, 3, -1/4, 5/2 in increasing order. -1/4, 0.4, 5/2, 3 Put -5, -11, -84, 0.2, 4 in ascending order. -84, -11, -5, 0.2, 4 Sort 2, -92, 4, -3. -92, -3, 2, 4 Sort 2, -2/13, 194, 0.3 in ascending order. -2/13, 0.3, 2, 194 Sort -0.3, -1/3, 265 in decreasing order. 265, -0.3, -1/3 Put -7, -1/3, 2/11, 6 in increasing order. -7, -1/3, 2/11, 6 Sort -5, -7, -3, 3 in increasing order. -7, -5, -3, 3 Put 4/5, 3/7, -3 in increasing order. -3, 3/7, 4/5 Sort -21, 1, 3, 3/2. -21, 1, 3/2, 3 Put 2/19, -0.1, -6, 0 in increasing order. -6, -0.1, 0, 2/19 Sort 3, -3, 14, 1 in decreasing order. 14, 3, 1, -3 Sort -28, -5, -4, -3. -28, -5, -4, -3 Sort -4, -18, 1, 2 in decreasing order. 2, 1, -4, -18 Put 3, 4, -19, 2 in decreasing order. 4, 3, 2, -19 Sort 7, -426, -5 in descending order. 7, -5, -426 Sort 4, -29, -3. -29, -3, 4 Sort -3, 69, -4, 3 in decreasing order. 69, 3, -3, -4 Sort 4, -2, 2, -16 in ascending order. -16, -2, 2, 4 Put -63, -1, 1, 6 in ascending order. -63, -1, 1, 6 Sort 28, -1, -4, -5 in increasing order. -5, -4, -1, 28 Put 1, 5, -1, 2.3 in decreasing order. 5, 2.3, 1, -1 Sort -4, 5, -74 in decreasing order. 5, -4, -74 Sort 5, -2, 4, -73. -73, -2, 4, 5 Put 46, 5, -2 in descending order. 46, 5, -2 Sort 20, 0, 3, -4 in descending order. 20, 3, 0, -4 Put -1/4, -120, 5 in increasing order. -120, -1/4, 5 Put -2/5, -3, -1/5, 3/7, 2/7 in descending order. 3/7, 2/7, -1/5, -2/5, -3 Sort -3, 4, 0, 3 in ascending order. -3, 0, 3, 4 Sort 25, 18, 3, -5 in decreasing order. 25, 18, 3, -5 Sort 12, 3, -5, -7. -7, -5, 3, 12 Sort 6, 3, 0. 0, 3, 6 Sort 4, 9, 59, 3. 3, 4, 9, 59 Put 0.2, 5, -0.05, 4 in descending order. 5, 4, 0.2, -0.05 Put -1027, -5, -3 in decreasing order. -3, -5, -1027 Sort -1/3, 0.5, 0.3, -1/5. -1/3, -1/5, 0.3, 0.5 Sort -1, 237, -6 in ascending order. -6, -1, 237 Sort -2, 8, 4, 5, -4. -4, -2, 4, 5, 8 Put 5, -38, -5, 1 in increasing order. -38, -5, 1, 5 Put -9/218, 2, 0, 3/4 in ascending order. -9/218, 0, 3/4, 2 Sort -7, 4, -2, -63 in descending order. 4, -2, -7, -63 Sort -3, -2/7, -86, -3/7 in descending order. -2/7, -3/7, -3, -86 Sort -8, -2, 1.7, -0.2. -8, -2, -0.2, 1.7 Put 71, -42, -4 in increasing order. -42, -4, 71 Sort -5, -4, -136 in decreasing order. -4, -5, -136 Put -11, 3, -2.9, 2 in decreasing order. 3, 2, -2.9, -11 Put 729, -3, 4 in descending order. 729, 4, -3 Sort -1/5, 4, -2, -1/4 in descending order. 4, -1/5, -1/4, -2 Sort -3, -1/3, -2.23, -2/11 in decreasing order. -2/11, -1/3, -2.23, -3 Sort 0.5, -5/3, 0, 0.3 in descending order. 0.5, 0.3, 0, -5/3 Put -5, 2, 1420 in descending order. 1420, 2, -5 Put -2, -1, 0.5, 6.4 in ascending order. -2, -1, 0.5, 6.4 Put -6, -18/7, 1, -0.1 in decreasi
{ "pile_set_name": "DM Mathematics" }
= 2*n. Is z a prime number? False Suppose q = 5*q - 3508. Is q prime? True Let m = 15 - -320. Is m a prime number? False Let p(q) = 60*q - 2. Let u be p(-3). Is u/(-6) + 6/9 a composite number? False Suppose -d + 2*d - 1005 = 0. Suppose -4*f = 3*s - 604 - 202, d = 5*f + 5*s. Is f prime? False Let y(m) = -56*m - 2. Let j be y(-6). Suppose 2*c = -w + 252, 3*c - 3*w - 53 - j = 0. Suppose 3*a - 146 - c = 0. Is a composite? True Let p(r) = r + 1. Let b be p(4). Let x = b + -3. Is 133 + 2*(-3 + x) composite? False Is (-16 - -5)/((-1)/149) composite? True Is 3/3*8/12*447 a prime number? False Let c = 2042 + -783. Is c composite? False Suppose -5*j = 2*j - 15071. Is j a prime number? True Suppose -3*g - 5*r + 62 = 0, 7 = -3*g + 4*r + 33. Is (-1419)/(-7) + g/49 a prime number? False Let z(w) = w**3 - 7*w**2 - 8*w - 6. Let v(h) = -3*h**3 + 20*h**2 + 24*h + 17. Let b(k) = -3*v(k) - 8*z(k). Is b(6) composite? True Suppose -5*s + 464 = -5*x + 3624, -3*x = -5*s - 1890. Is x a composite number? True Let j be 45/(-6)*(-24)/10. Suppose -5*d + j = -257. Is d prime? False Let z be ((-4)/3)/((-1)/(-129)). Let l = 104 + z. Let o = l + 115. Is o prime? True Let j(t) be the second derivative of t**5/20 + 3*t**4/4 - t**3/6 - 4*t**2 - t. Let x be j(-8). Suppose -x = -w - 18. Is w prime? False Let k(x) = -2*x**3 - 7*x**2 - 5*x + 3. Is k(-7) a prime number? False Let k(z) = -3*z**3 - 4*z - 5 - 6*z + 4*z**3. Is k(8) composite? True Suppose 12*o + 14125 = 15*o + 5*a, -14109 = -3*o + 3*a. Is o a composite number? True Is (-379)/(-2) - (-3)/2 a prime number? True Let l be 2/(-4)*5*-2. Suppose b - 25 = 4*t, -3*b = l*t - 74 - 52. Is b composite? False Suppose -1899 = -3*d + 2*z, 5*d + z = 2*d + 1890. Is d a composite number? False Suppose -5*t - 504 = -4*k, -3*t - 4*k - 120 = -2*t. Let s = t + 73. Let g = -10 - s. Is g a composite number? True Let d = -44 + 69. Let n = 51 - d. Suppose 0 = -3*c + 13 + n. Is c prime? True Is (-2 - -2 - 0/(-1)) + 97 prime? True Let y = 7053 - 3220. Is y prime? True Let y be 4 - (-1 + -3 + 4). Suppose -y*p = -4*l - 576, -p + 2*p - 159 = 4*l. Is p prime? True Let s(a) = -a**3 - 4*a**2 + a + 4. Let x be s(-4). Suppose -3*g = x, 3*i - 3*g + 177 = 6*i. Suppose -5*k + i = -56. Is k composite? False Suppose -3*u + 2717 = 5*m - 0*u, 12 = 3*u. Is m a prime number? True Let s = -1 + 5. Let x be s + -3 - 10*-3. Let n = 68 - x. Is n a prime number? True Suppose 3*t - 3 - 15 = 0. Let q = t + 32. Let m = -27 + q. Is m a composite number? False Suppose -5*x + 2*s + 4560 + 2674 = 0, 5*s - 4328 = -3*x. Is x/14 + 8/(-28) a prime number? True Let f = 551 + -328. Is f a prime number? True Let x be 3/(-6)*1*-10. Suppose x*l + 0*l = 3*p + 286, 283 = 5*l - 4*p. Is l prime? True Let w = 1 - -5. Suppose -v + w = 2*v. Suppose -v*n - n + 387 = 0. Is n a prime number? False Is -1 + (-4)/(-1) - -392 prime? False Suppose -53 = -2*v + v. Let l = v - 7. Is l composite? True Suppose 4*u = -0*u + 16. Let b = -32 + 22. Is (0 - 4)*b/u composite? True Let a = 13 - 23. Let i = 31 + a. Is i composite? True Let l(b) = b**3 - 10*b**2 + 8*b - 9. Let k be l(9). Let s be (-2)/6 - 1032/k. Suppose 13 + s = 2*t. Is t prime? False Let r = 886 - 566. Let x = 537 - r. Is x prime? False Suppose 3*n + 0*k - 5*k = 6, 0 = -k. Suppose n*v = -2*v. Is v - -1 - (-4 + -2) a composite number? False Suppose 0 = 2*f + f + 6. Let p(d) = 4*d**2 - d. Let r be p(3). Is (r/6)/((-1)/f) prime? True Let p = -164 + 729. Is p prime? False Suppose -4*f + 4*p - 324 = 0, -2*f + 4*f = -3*p - 182. Let q = f - -122. Is q a composite number? False Suppose -2*g = -4*t - 0*g + 586, 5*t + g - 750 = 0. Is t a composite number? False Let z = -9 - -7. Is 12/z*(-37)/2 a composite number? True Suppose 0 = -y - y - 2, 2*n - 2680 = 4*y. Suppose m = -m + n. Is m prime? False Let o be -62 - ((-2 - -1) + -2). Let n = -220 - o. Is (-2)/4*2*n a composite number? True Suppose -3*z + 4179 + 264 = 0. Is z a prime number? True Suppose -p - 622 = -4*b - 6*p, -3*b + 472 = p. Is b composite? True Let h(q) = -2*q - 1 - 2*q + 3*q. Let r be h(-1). Suppose -4*g + 7*g - 237 = r. Is g prime? True Is (0 - 3) + 17*8 a composite number? True Suppose -t - 3*h + 7 = 0, -4*t = 4*h - 0*h - 4. Let q = 66 + -97. Is q/((t + 1)/1) a prime number? True Let f(r) = r**2 - 3*r. Suppose -2 - 6 = -4*i. Suppose 12 = 2*x + i. Is f(x) prime? False Let g = 113 + 108. Is g composite? True Is 28/12 - 3 - (-2170)/6 a prime number? False Is -2*1 + (311 - -10) a prime number? False Is (-27672)/(-18) - (2/3)/2 a composite number? True Suppose -6*j - 2*m = -j - 3505, 0 = 5*j - m - 3505. Is j a prime number? True Let j be (9/2)/((-6)/36). Let u = j - -38. Is u a prime number? True Let a = -19 + 13. Let x = a - -10. Suppose x*c - h = 595, -6*c + 2*c + 5*h = -591. Is c prime? True Let z be ((-8)/(-5))/(6/15). Suppose 0 = -w + z*w - 12. Suppose b = -w*b + 345. Is b composite? True Let i = 28 - 14. Suppose 3*k - k - i = 0. Is k composite? False Suppose -2*t = 813 - 3331. Is t a composite number? False Let y be -17*(-12 + 6/(-2)). Suppose y = 2*b - 491. Is b a composite number? False Let o = 1067 - 12. Is o prime? False Let x be ((-3)/(-2))/(9/12). Suppose -71 = -4*k - g + x*g, -3*g = 3*k - 42. Let l = k + 6. Is l a composite number? False Suppose 16 = b - 0*b - 5*t, 0 = 4*b - 4*t - 96. Is b composite? True Suppose -5*d = -4*d + 3. Let x be ((-2)/(-6))/((-1)/3). Is (-12)/d + (x - 0) prime? True Let g(v) = 2*v - 7. Let t be g(6). Suppose -4*d + 12 = 3*m - t*m, 2*d = 5*m - 2. Is 101/d + (-2)/8 a composite number? True Let b = 6 + -7. Let t be (0/1)/(2*b). Let o = t - -37. Is o composite? False Let u(v) = 5*v. Let n be u(-2). Let l = 40 + n. Is -1 - 1 - l/(-2) a prime number? True Let s(y) be the third derivative of y**8/20160 - y**7/1008 + y**6/90 + y**5/60 + 3*y**2. Let f(j) be the third derivative of s(j). Is f(7) a composite number? True Let u = 5 - 2. Suppose -5*j + h - 3*h = 0, -u*j = -2*h. Suppose 2*y + 67 = k, j = -k + 3*y + 2*y + 67. Is k composite? False Suppose 2*q = -5*a + 41, -a + 2 - 3 = 5*q. Suppose a*p = 4*p + 50. Is p a prime number? False Let i(q) = 5*q**2 - 13. Is i(6) a composite number? False Suppose s - 41 = -z, 4*s - 88 = -2*z + 5*s. Suppose 5*n + b - 102 = 0, -5*n + b + 65 + z = 0. Let a = -2 + n. Is a a prime number? True Suppose -j - 450 = -5*n - 2*j, 2*n - 5*j - 153 = 0. Is n a prime number? True Is 3/6*-137*-6 prime? False Suppose -4*x = 3*f - 29, 5*f - 7 = 6*f - 2*x. Suppose 4*j = 1 + f, 3*j - 718 = -5*b. Is b a prime number? False Suppose 5*w + 5*h = 15, -2*w + 5*h = -3*w + 15. Suppose w = 3*i + p + 35 - 148, -i - 3*p = -27. Is i prime? False Let l(c) be the third derivative of c**6/120 + c**5/10 - c**4/3 + c**3 + 2*c**2. Is l(-7) prime? True Let u = 9 + -7. Let d = -8 + u. Let j = 1 - d. Is j a composite number? False Let u = 154 - 75. Is u composite? False Is 4/(-22) + 12830/22 a composite number? True Let c = 127 + -83. Let u = c + -13. Is u composite? False Suppose -83 = h + 3*o - 537, -h = -5*o - 414. Is h a composite number? False Let y = -18 + 14. Let n = 71 + y. Is n composite? False Let c = -12 - -17. Suppose c*d = -40 + 995. Is d composite? False Is 5/((-68)/23 + -3 + 6) a prime number? False Let n(f) = 127*f**2 + 4*f - 4. Is n(3) prime? True Suppose -6*f + 9656 = 2630. Is f prime? True Let s(d) = 19*d**3 - d**2 + d - 6. Is s(4) composite? True Let u be 16/(-56) + 121/7. Let o be (-3)/(-5) + 335/25. Let v = u + o. Is v a composite number? False Suppose 3*d + 2*k - 4377 = -3*k, -3*k - 7261 = -5*d. Is d composite? True Let b(i) = 286*i**2 + 1. Is b(-1) prime? False Let o be ((0 - 1)/1)/1. Is 38/(o/2*-4) a composite number? False Let i(l) = 5*l**2 - 15*l + 5. Let n be i(10). Suppose v = y + 201, 447 = 4*v - 5*y - n. Is v a prime number? False Suppose -u + 4*v + 17 + 10 = 0, -5*u + 50 = -3*v. Suppose 4*l + u = 27, -2*k + 234 = -4*l. Is k a prime number? True Let k(s) = -3*s**3 - 2*s**2 - s - 3. Let x be k(-3). Let i = 20 + x. Is i composite? False Suppose 3*j = -3*y + 243, -2*j + 5*j = -4*y + 241. Is j a composite number? False Suppose -5*d + 12913 = 4*l, d = 5*l + 802 + 1769. Is d composite? True Let d = -4 + 6. Suppose m - 67 = -2*g, 5*g - d*m - m = 184. Suppose -4*t + g = -3*t. Is t a prime number? False Let q(g) = -1 - 7*g - 4 - 1 + 5. Is q(
{ "pile_set_name": "DM Mathematics" }
the prime factors of w? 2, 1103 Let f be ((-4)/(5 - -3))/((-2)/188). Let s = f - -43. Suppose 0 = 7*z - 622 + s. What are the prime factors of z? 2, 19 Let h(v) be the first derivative of v**4/4 + 19*v**3/3 + 27*v**2/2 + 35*v + 147. What are the prime factors of h(-17)? 2, 7, 11 Let z(b) = b**2 + 7*b - 30. Let r be z(-10). Suppose r = -2*g + 69 + 9. Let x = g + 73. What are the prime factors of x? 2, 7 Let c(i) = -16*i - 43. Let y(p) = p**2 - 11*p - 24. Let w be y(11). List the prime factors of c(w). 11, 31 Let w = 8822 + -3240. What are the prime factors of w? 2, 2791 Suppose -3*y + 532 = 2*t, 3*y = -7*t + 12*t - 1288. Let z = t - -294. List the prime factors of z. 2, 277 Suppose 65*r - 60*r = -5*h + 3735, -3*r - 2199 = -3*h. What are the prime factors of h? 2, 5, 37 Let b(p) = p**3 - 2*p**2 - 7*p + 81. Let f be b(0). Let i(a) = a**3 - 4*a**2 - 3*a + 2. Let h be i(5). Suppose -3*v - h = -f. List the prime factors of v. 23 Let p = -217 + 222. Suppose p*w - 2067 - 968 = 0. What are the prime factors of w? 607 Let c = 75 - 73. Suppose -k - 279 = c*k. Let n = -89 - k. List the prime factors of n. 2 Let t = 11975 + -251. What are the prime factors of t? 2, 3, 977 Let n(c) = -4*c + 23. Let v be n(5). Let r = 371 - v. What are the prime factors of r? 2, 23 Let q(b) = b**3 + 14*b**2 + 12*b - 13. Let v be q(-13). Suppose v = -z - 2*y + 1071, 2*y - 3192 = -3*z + 3*y. What are the prime factors of z? 3, 5, 71 What are the prime factors of -5560*((-8)/(-16))/(7/(-14))? 2, 5, 139 Suppose j = 3*z - 15280 + 1345, 0 = 2*z - j - 9291. What are the prime factors of z? 2, 3, 43 Suppose -88 = -0*l + 3*l + 2*x, -5*l - x - 149 = 0. Let i = 51 - 45. What are the prime factors of (-2142)/l + i/10? 2, 3 Let o = 1774 + 427. What are the prime factors of o? 31, 71 Suppose -3*l + 7*l - 156980 = -6*l. List the prime factors of l. 2, 47, 167 Let b(m) = -m**3 - 48*m**2 - 27*m - 77. List the prime factors of b(-49). 7, 521 Let o(w) = -35 + 642*w - 792*w + 1194*w. What are the prime factors of o(1)? 1009 Suppose 2*o - 13*o + 5550 = 4*o. List the prime factors of o. 2, 5, 37 Let j be 4*(3 - 15/12). Suppose -1104 = 4*o - j*o. List the prime factors of o. 2, 23 Let m(l) = -6*l**2 + l - 7. Let j(g) = -6 + 3*g - 2*g + 0*g - 11*g**2 - 7. Let z(r) = -3*j(r) + 5*m(r). What are the prime factors of z(-5)? 3, 23 Suppose 3*r - 10*w = -5*w - 1, 2*r + 8 = -4*w. List the prime factors of -4*-6*r/30*-570. 2, 3, 19 Suppose -3*n = 2*k + 6419 - 23623, -2*n + 5*k = -11444. What are the prime factors of n? 2, 1433 Suppose -424 = 5*m - 4*h, -m + 2*m - 4*h + 88 = 0. Let q = m + 86. Suppose 5*t = q*j - 4*j + 727, -4*t + 580 = 2*j. List the prime factors of t. 3, 7 Let d(n) = -50*n - 1. Let u(o) = -249*o - 6. Let b(m) = 24*d(m) - 5*u(m). List the prime factors of b(14). 2, 3, 53 Let m(u) = 4*u**2 - 43*u + 5. Let l be m(11). Let o(a) = 4*a - 47. What are the prime factors of o(l)? 17 List the prime factors of (840/(-315))/((-4)/(-198))*-146. 2, 3, 11, 73 Let l = -533 - -540. Suppose -l*r = -r - 4740. List the prime factors of r. 2, 5, 79 Suppose -t - 132 = 11*t. What are the prime factors of (-1 - (-2 + t))*107? 2, 3, 107 Suppose 8*y - 5082 = -4*n + 14*y, -3*n = -3*y - 3804. List the prime factors of n. 3, 421 Suppose -15603792 - 2511461 = -569*r. What are the prime factors of r? 13, 31, 79 Let b be 76/((-1)/(3/2*-2)). Let h = -111 + b. List the prime factors of h. 3, 13 Let g(w) be the third derivative of w**5/60 - 5*w**4/8 - 23*w**3/3 - w**2 + 3*w. List the prime factors of g(20). 2, 3 Let y(v) = -v**3 + v**2 + 2*v + 4. Let t be y(0). Let j be ((-1)/t)/(2/(-24)). List the prime factors of 53 + j - 8/(-1 - 3). 2, 29 Let c = -112 - -122. Let x be (36/c)/(-6) + (-2)/5. List the prime factors of 65*(-2)/(-1) + (x - 1). 2 List the prime factors of -1129*(-5 + 17 + -14). 2, 1129 Let f = 3549 - -991. What are the prime factors of f? 2, 5, 227 List the prime factors of 31/(279/30402) + 6. 2, 3, 47 Let s = -64717 - -91890. What are the prime factors of s? 29, 937 Let b(c) = -627*c**3 - c**2 + 7*c + 20. What are the prime factors of b(-2)? 2, 13, 193 Suppose 4*o - 2*s = 371 - 53, 3*s = 15. Suppose -88*b + o*b = -4290. What are the prime factors of b? 5, 11, 13 Suppose 5*q = -w + 3218, -13*q + 17*q - 2*w = 2580. Suppose 4*k = 2496 - q. List the prime factors of k. 463 Suppose 784180 = 29*j - 203744 + 84922. List the prime factors of j. 2, 15569 Suppose -4*w + x = -256, 0 = 2*w + 3*w + 5*x - 295. Suppose -4*r - 338 = -2*m, -401 + w = -2*m - 3*r. Let n = m + -76. List the prime factors of n. 3, 31 Suppose -5*g + 8*a - 7*a = -14319, 14315 = 5*g - 5*a. Suppose g = -30*d + 34*d. Suppose 0 = -4*v + d + 292. List the prime factors of v. 2, 3, 7 Let s(t) = 2*t**3 - 54*t**2 + 70*t - 225. List the prime factors of s(38). 3, 13, 877 Suppose -9*t + 368 = 1097. Let v = t - -1370. List the prime factors of v. 1289 Suppose -51*g + 53*g - 5*t + 11 = 0, t + 5 = 4*g. Suppose 14*l = -g*l + 704. What are the prime factors of l? 2, 11 Suppose 212*x - 13 = 213*x. What are the prime factors of -2*x/(182/6489)? 3, 103 Let c(d) = 1. Let j = 36 - 35. Let p(n) = -14*n - 31. Let s(b) = j*p(b) + 5*c(b). What are the prime factors of s(-17)? 2, 53 Suppose -2*z = -8841 - 2667. What are the prime factors of z? 2, 3, 7, 137 Let w = -103 - -110. Let r be (19 - 11)*(w/4 - 1). List the prime factors of ((-204)/(-85))/(r/100). 2, 5 List the prime factors of (26141 - 85) + 14/(-4)*-2. 67, 389 Suppose 856*h + 1145301 = 927*h. List the prime factors of h. 3, 19, 283 Suppose 2*d - 3*w = 3, -5*d - 6*w + w + 20 = 0. Suppose d*h = -2*v + 2476, v = -3*v + 8. What are the prime factors of 6/(-15) + h/10? 2, 41 Suppose 1013*l - 1005*l + 734600 = 0. List the prime factors of 4/6 - 1 - l/75. 2, 3, 17 Suppose 16 + 9 = -5*v. Let n = 730 - 734. List the prime factors of v/((-10)/n) - -116. 2, 3, 19 Suppose -2*r - 4*j - 7666 = -35308, -r + 4*j + 13833 = 0. List the prime factors of r. 5, 7, 79 Let k = -36 + 51. Suppose 3*y + 3 = k. Suppose 108 = 4*p - 3*x, y*x - 18 + 2 = 0. What are the prime factors of p? 2, 3, 5 Let l(q) = -13*q + 82. Let r be l(6). Suppose 62 = 2*x - r. List the prime factors of x. 3, 11 Suppose -4*i + 9 = 4*r + 1, 2*r + 4*i = 8. Suppose -l - 36 + 257 = r. What are the prime factors of l? 13, 17 Suppose -15*u + 10871 = -1204. Suppose 10*y - 12675 = u. What are the prime factors of y? 2, 337 Suppose -134*t + 6636 = -128*t. Suppose -2*z = q - 206 - t, -3285 = -5*z - 5*q. What are the prime factors of z? 5, 131 Suppose 2*y + a + 86 = y, 2 = -a. List the prime factors of 19098/42 - 3*8/y. 5, 7, 13 Let c be (-45 + (-12)/2)/(1 + 0). Suppose 5*k - 2*m + 686 = -58, 0 = 5*k + 2*m + 756. Let n = c - k. List the prime factors of n. 3, 11 Suppose j = -3*g - 4*j - 100, 0 = 5*j - 20. What are the prime factors of 4897*(-3)/(-24) - (-5)/g? 2, 3, 17 Let d(h) = 285*h + 2. Let w be (2/(2 - 1))/((-12)/(-18)). List the prime factors of d(w). 857 Suppose 25131 = 4*g - 5*m - 3085, 5*g - 35270 = -m. What are the prime factors of g? 2, 3527 Let o be 54/10 + (-8)/20. Let i be 2 - 0 - (-6 + o). Suppose i*f + 0*t = -4*t + 265, -10 = 5*t. List the prime factors of f. 7, 13 Let c = 491 - -1515. List the prime factors of c. 2, 17, 59 Let s(x) = 9*x + 57. Let v be s(-3). List the prime factors of (-207532)/(-390) - 4/v. 2, 7, 19 Suppose -c + s = 2, -4*c - 2*s + 11 + 11 = 0. Suppose -8 = -11*r + 10*r - c*g, 4*g = 8. What are the prime factors of 0/r + -7 + 167? 2, 5 Suppose a - 18*a = -6902. Let i = 79 + a. List the prime factors of i. 5, 97 Let k = -2027 + 3661. Suppose 19554 - k = 20*f. What are the prime factors of f? 2, 7 Let u(x) = -1237*x - 2986. What are the prime factors of u(-45)? 11, 4789 Suppose 0 = 8*a - 12606 - 48414 - 6012. What are the prime factors of a? 3, 7, 19 Suppose -3*o = 3*h - 216, -4*h - 4 = -3*h. Let d = 6028 + -5932. Suppose -d = -l + o. List the prime factors of l. 2, 43 Let n(r) = 325*r**2 + 7*r + 7. Let i be n(-2). Suppose i - 361 = 4*c. List the prime factors of c. 233 List the prime factors of ((-975)/(-26) + 2 + -1)*370. 5, 7, 11, 37 Let o = 625 + -620. Suppose 0 = -n + o, -4*n + 548 = 2*g. List the prime factors of g. 2, 3, 11 Let y(m) = 6*m**3 - 85*m**2 + 16*m + 187. List the prime factors of y(30). 199, 433 Let m(l) = -3*l - 24. Let
{ "pile_set_name": "DM Mathematics" }
f Let t be ((-20)/6)/(8/(-12)). Let z = 2 - t. Let k = 24 + -26. Put k, z, -4 in descending order. k, z, -4 Let b be 1*(3/(-3) - -6). Suppose 0*l + 4*l - 14 = -v, 0 = b*v + 10. Put 2, l, -5 in decreasing order. l, 2, -5 Suppose 5*b + 14 = k + 33, 2*k - 3*b = -10. Put k, 0, -5, -11 in descending order. k, 0, -5, -11 Suppose -7 = -j + g, 2*j - 35 = -2*j - 3*g. Put 1, 3, j in increasing order. 1, 3, j Let l(r) = r + 7. Let c = -13 - -9. Let i be l(c). Suppose -i*a + 3 - 18 = 0. Put 2, a, 4 in ascending order. a, 2, 4 Let t = 2 + -1.7. Let i = 1.3 - t. Let g = 0 - i. Put -0.2, g, -2 in increasing order. -2, g, -0.2 Let w(d) = d**3 + 2*d**2 + d + 1. Let i be w(-2). Let y be 3/6*(0 - 0). Suppose 5*q - 1 = -11. Sort y, q, i. q, i, y Let m = 2 - 1. Suppose 0 = -5*c + 2*c. Put m, c, -1 in descending order. m, c, -1 Suppose g - 3*r = 20, 4 = -4*g - 4*r + 20. Suppose -p - 3 = -g. Suppose 4*c - 2*v - 2*v + 16 = 0, -p*c - 5*v = 0. Sort 1, 3, c in increasing order. c, 1, 3 Let a(k) = -k**2 + 5*k - 3. Let t be a(5). Let f = 5 + t. Suppose -5*i - 14 = f*r, 4*r = 5*i - 0*r + 2. Sort 2, i, 5 in increasing order. i, 2, 5 Let r = 0.02 - 0.16. Let w = -13.14 - r. Let f = w + 8. Put 0.3, -1, f in descending order. 0.3, -1, f Suppose 4*v - 2*a - 4 + 34 = 0, -4*v - 2*a = 42. Let b be (-2)/((-1)/(v/(-6))). Let i = b - 2. Sort 3, i, 2. i, 2, 3 Let c = -0.21 - 2.79. Put c, 0.4, -3/2 in descending order. 0.4, -3/2, c Let a be 106/9 - (-4)/18. Let j be (11 + -10)/(1/(-9)). Let k = a + j. Put 0.2, -5, k in decreasing order. k, 0.2, -5 Let j(m) = 6 - m - 3 - 2. Let p be j(0). Let s be (p*(-1)/1)/(-5). Sort s, 2/13, 5/4 in descending order. 5/4, s, 2/13 Let a = -22 + 12. Put 0.2, a, 5 in descending order. 5, 0.2, a Let y(z) = z**2 - 14*z - 11. Let m be y(15). Put 0, m, 1 in decreasing order. m, 1, 0 Let s = -3.2 + 3. Suppose -3*l + 0 - 6 = 0. Sort s, l, -4 in decreasing order. s, l, -4 Let o = 15.55 - 16. Let a = -0.05 + o. Sort -0.4, a, 1. a, -0.4, 1 Let t = -0.3 - -0.5. Let s = t - 0. Let o = -49 - -48.6. Put s, o, -0.2 in decreasing order. s, -0.2, o Suppose 3 + 1 = 2*h. Suppose 5*v - 2*a + h - 22 = 0, -3*v + 3*a + 21 = 0. Sort -4, v, 5 in decreasing order. 5, v, -4 Let p be -1 + 4 - (0 + 1). Sort p, -22, 3. -22, p, 3 Let c = 0.43 + -0.03. Sort c, 1/5, 3 in increasing order. 1/5, c, 3 Let r = 102.3 - 109. Let f = r + 7. Let b = f + -0.1. Sort -2/3, b, -3 in decreasing order. b, -2/3, -3 Let c = 0.2 - 0.77. Let f = c + 0.07. Put f, -2/11, 4/5 in ascending order. f, -2/11, 4/5 Let f(y) = y - 4. Let w be f(2). Suppose -5*z + 0*z = n - 37, 4*z - n - 35 = 0. Let r = z + -4. Sort 1, r, w in ascending order. w, 1, r Let t = -9 + 15. Let f = 16 - t. Let k = f + -8. Put 4, 1, k in decreasing order. 4, k, 1 Let g(j) = -j**2 + 5*j - 4. Let c(r) = r**3 + 9*r**2 + r + 12. Let i be c(-9). Let o be g(i). Suppose 0*f = o*f + 10. Put f, -3, -1 in ascending order. f, -3, -1 Suppose 2*z - 3*f - 12 = f, -3*z + 4*f + 14 = 0. Let s be 3*(-3 + 6 + -5). Let l be s - -3 - (0 + 1). Sort l, z, 3. l, z, 3 Let i = -10 - -5. Let p = -0.1 + -0.3. Let x = 0.6 - p. Put x, i, 0 in descending order. x, 0, i Let j be -4 - 1 - -3*1. Suppose -2 = -3*t + 1. Put j, -5, t in decreasing order. t, j, -5 Let g = -2 + 4. Let o be (-2)/(-9) + g/(-9). Let j = o + -1/2. Sort -2/7, 0.4, j in descending order. 0.4, -2/7, j Suppose -5*i - 20 - 83 = 3*s, 0 = -5*i + 5*s - 95. Let x = 36 + i. Suppose 2 = -f - 1, k + x = -5*f. Sort -4, 0, k in increasing order. -4, k, 0 Suppose 9*z - 7*z = 6. Suppose z*y - 5*y = -10. Suppose 0 - 7 = -u - 5*f, 5 = 3*u - f. Put -4, u, y in decreasing order. y, u, -4 Suppose 0*s - 5*s + 150 = 0. Suppose n = -n + 4*d + 20, s = 4*n - 3*d. Suppose n = -5*i + 31. Sort -0.4, -2/9, i in descending order. i, -2/9, -0.4 Suppose -9 = -v + 2*s, v - 5*v + 2*s + 18 = 0. Put 2, 5, v in decreasing order. 5, v, 2 Let o = -64 + 63.95. Put -4, -3, o in descending order. o, -3, -4 Let y be (16/(-12))/((-2)/3). Let d(l) = l**3 - l. Let j be d(y). Let x be j/9 - (-16)/(-15). Put 0.05, x, 5 in decreasing order. 5, 0.05, x Let y be 2*(-65)/35 + 4. Sort -4, y, 61 in ascending order. -4, y, 61 Let n = 0.9 - 4.1. Let p = n + 3. Put -3/5, 3, p in decreasing order. 3, p, -3/5 Let s = 5 + 0. Sort -2, -4, s in increasing order. -4, -2, s Let z(r) = r**3 + 5*r**2 - r - 10. Let a be z(-5). Put a, 1, 6 in decreasing order. 6, 1, a Let r be 5 + 1 - (3 + 1). Put 7, r, -1 in decreasing order. 7, r, -1 Let w be ((-12)/8)/(0 + 3/6). Put -5, 6, w in ascending order. -5, w, 6 Let g(v) be the first derivative of -v**2/2 + 3*v + 1. Let u be g(9). Let i(y) = y**3 + 5*y**2 - 6*y + 5. Let x be i(u). Sort 4, 3, x in descending order. x, 4, 3 Let h = 4 + -2. Let r be -6 + 2388/378 - 4/18. Sort r, h, -1/9 in decreasing order. h, r, -1/9 Let z = -12 + 17. Suppose 0 = -5*r + 18 + 42. Let l be 2/(-3) - (-8)/r. Sort l, -3, z. -3, l, z Let a be 2 - (80/22)/2. Suppose -2*z + 1 = 3. Put a, -1/2, z in descending order. a, -1/2, z Let s be 18 + -1 + (4 - 6). Suppose -2*x + 6 = -i, 5*x - s = -0*i - i. Let f = 7 - 9. Put -1, i, f in descending order. i, -1, f Let h be 580/18 + (-2)/9. Suppose -4*b - h + 12 = 0. Let z = 90 - 87. Sort z, 1, b. b, 1, z Let x = 64 + -45. Let a = -14 + x. Sort a, 1/7, -0.3. -0.3, 1/7, a Let k = -1.3 + 1.37. Let x = -0.93 - k. Let n = 7.7 - 8. Sort x, -1/5, n. x, n, -1/5 Let d = 11.4 + -11. Put -1, 0.3, d in ascending order. -1, 0.3, d Suppose 3*r + 12 = -5*z, 6*r = 5*z + r + 20. Let c(m) = m**2 + 2*m. Let y be c(-5). Let a = 11 - y. Sort 3, a, z in increasing order. a, z, 3 Let f(h) = -3*h - 31. Let t be f(-9). Put 4, t, 5, -3 in descending order. 5, 4, -3, t Suppose -4*w - 2*l + 4 = 0, 2*w - 10 = -7*l + 2*l. Suppose -2*z + 4*z - 10 = w. Put 4, 2, z in ascending order. 2, 4, z Suppose -31 = m - 37. Sort 1, m, 3, -1 in descending order. m, 3, 1, -1 Let i = -9 - -16. Let c = -29.6 + 30. Sort i, 2/3, c. c, 2/3, i Let v = 14 - 16. Put 2, v, 11 in descending order. 11, 2, v Let t = 8 - 6. Let c = -23 - -23. Put c, -3, t in increasing order. -3, c, t Let c = 4 + 1. Let m = -127.8 - -128. Put -5, m, c in increasing order. -5, m, c Suppose -2*c - 1 = -7. Suppose 2*y - 13 = -3*v, -4*y = c*v + v - 24. Put 1/5, 3, v in descending order. 3, v, 1/5 Let v = 9 + -19. Let k be v/(-2)*28/35. Sort -4, -5, k in ascending order. -5, -4, k Let c = -45/2 - -23. Put -0.5, c, 3 in descending order. 3, c, -0.5 Let f(s) = -s + 2. Let v be f(5). Let t be v + (-3)/(6/(-14)). Sort t, 5, -1 in decreasing order. 5, t, -1 Let b(a) = -7*a + 10. Let m(x) = 13*x - 19. Let j(k) = 11*b(k) + 6*m(k). Let q be j(5). Sort q, 2, 4 in ascending order. q, 2, 4 Let x = -0.24 - 0.06. Let j = -0.03 - 0.47. Let t = j + 3.5. Put 2, t, x in decreasing order. t, 2, x Let h = 0.021 - 0.521. Let y = -3.2 - -3. Let w = y - -0.5. Put h, 0.2, w in decreasing order. w, 0.2, h Let f = 1.8 - 0.8. Let u = -5.4 - -5. Sort u, -0.2, f in decreasing order. f, -0.2, u Let r = -17 - -37. Suppose 0*v - 4*v = r. Let y = v - -10. Sort y, -1, -3 in decreasing order. y, -1, -3 Let n = -80349 - -13257469/165. Let j = -2/55 - n. Sort j, -1/2, 2/7 in descending order. j, 2/7, -1/2 Suppose -3*v + 2*a + 20 = 0, 0 = -4*v + a + 2*a + 28. Suppose -h - 10*o = -7*o + 4, -4*h = o - 6. Put h, 3, v in descending order. v, 3, h Let z = -168 + 167.7. Put -5, 14, z, 1/4 in increasing order. -5, z, 1/4, 14 Let v = 15 + -14. Let r = -4 + v. Let z = 263/3 + -87. Put r, z, 5 in ascending order. r, z, 5 Let u be 2 - (8/(-1) + 2). Suppose 0 = 4*t - 0*t + u. Let v(k) = k**3 - 16*k**2 - 18*k + 22. Let n be v(17). Sort n, t, -3 in decreasing order. n, t, -3 Let k = -55 - -50. Suppose 0 = -4*c + 20, -4*h + 5*c = 2*c + 19. Sort -6, h, k. -6, k, h Let s = -4 + 2. Let q(z) = -2*z + 2 - z + 0 + 3. Let r be q(3). Put s, 5, r in decreasing order. 5, s, r Let y = -6 - 0. Let z be 20/y*(1 + -7). Suppose -5*q - 2*h = -2*q - 4, -3*q + 2*h + z = 0. Put -5, 0, q in decreasing order. q, 0, -5 Let v = 11.6 - 12. Let g be (3/(-2) + 2)/(-2). Sort v, g, 3 in decreasing order. 3, g, v Let y = 93.96 - 92. Let t = 0.04 + y. Put 3, -0.2, t in decreasing order. 3, t, -0.2 Let z = -8 + 13. Let i = 8.2 + -8. Sort z, 0.3, i in descending order. z, 0.3, i Let b = -14 - -13.1. Let n = 0.5 + b. Let u = 16.8 - 11.8. Put n, u, 0.1 in decreasi
{ "pile_set_name": "DM Mathematics" }
s the closest to m in -4, a, -1/10? -1/10 Suppose -9*a - 46 = -87*a + 32. What is the closest to 0.1 in -2, a, -0.96? a Let a = -1.56 - 20.94. Let f = a + 18.5. What is the closest to -0.3 in 0.2, -3, f? 0.2 Let k(i) = i**3 + 18*i**2 - 448*i + 4. Let y be k(-32). What is the closest to y in -4, -8, 5? 5 Let g = -22850 + 22901. What is the closest to g in 0.4, -3/7, 3/2, -3? 3/2 Let b be (1 - 3)*(-22)/(-1). Let a be (-2489)/b + 7/28. Let k = a - 57. What is the nearest to 0.1 in 0.3, k, -0.5? 0.3 Let m be 0/(13/6 + 1/(-6)). Let w be 3 + ((-10)/4 - m). Let h be 8/12 + (-78)/63. Which is the closest to w? (a) 5 (b) 4/5 (c) h b Let j = 68 + -68.1. Let f = -1372 - -1360.2. Which is the nearest to -0.1? (a) -5 (b) f (c) j c Let f = 197.4 + -197.5. Let n = -16 - -16.07. Let d = n + -0.47. Which is the closest to f? (a) d (b) 6 (c) 1/3 a Suppose 15*q + 1029 + 1881 = 0. Let m = -195 - q. Which is the closest to m? (a) -2/5 (b) 5 (c) -3 a Let p = 0.09 - -1.31. Let n = p + 2.6. Let l = -0.122 - -0.032. What is the nearest to -0.1 in l, n, 5? l Let i be (5/187 + -11 + 555/51)*2. Let n = 3.2 + 0.8. Suppose 2*p + 3*p + 30 = 0. Which is the closest to n? (a) p (b) -1 (c) i c Let h = 0.28715 - 0.18715. Which is the closest to 26? (a) 4 (b) 4/5 (c) h (d) 0.5 a Let n be 1 + -13 + -10 + 32. Which is the closest to n? (a) 0.2 (b) -3 (c) -2 a Let u = -12607/3 - -4242. Let x = u - 40. Let q be (-1)/3 - (-7)/15. Which is the closest to q? (a) 2 (b) -2/17 (c) x b Let u = 607255/9 - 67473. Let k = 0.7 - -0.3. Which is the nearest to -1? (a) -5 (b) u (c) k b Let v be 2/(-3) - (-48)/54. Let j(b) = -b**2 + 6*b - 9. Let d be j(2). Let c be -14 + 4 + 12/(24/(-8)). What is the nearest to d in 1, v, c? v Let t = 0.25 + -4.25. Let l = 57 - 56.75. Which is the nearest to -2/5? (a) t (b) 3 (c) l c Suppose 577*v + 82 = 536*v. Which is the nearest to 20? (a) 0 (b) -3/2 (c) v (d) -0.2 a Let h = 97/6 - 16. Let t = -133 - -334. Let k = t - 202. What is the nearest to 6 in k, h, -0.5? h Let k(o) = 44*o + 137. Let q be k(-6). Let l = 122 + q. What is the closest to 1/3 in 5/4, 0.7, l? 0.7 Let f be (105/(-90) - 246/36) + (8 - 0). What is the closest to f in -4, 4.5, -6? -4 Let b(g) = 3*g**3 + 23*g**2 - 28*g + 6. Let c be b(1). What is the closest to -2/5 in -7.2, -0.4, c? -0.4 Let p = 0.04 + 0.46. Suppose m + 7 = -6*m. Let f be 1431/4968 + 2/23. What is the closest to m in p, -0.3, f? -0.3 Let b = 270.91 - 270.71. What is the closest to -1/2 in b, 0.13, 1/180? 1/180 Let d = 0.00582 - 3.00582. Which is the nearest to -3? (a) 1/5 (b) d (c) 31 b Let j = -19916 + 19915.8. What is the closest to 0.1 in j, 3/188, -3? 3/188 Let w = -95/387 - -1/43. Let h = -3798.5 + 3799. What is the nearest to 1 in w, h, -1/5? h Let a = 475.52 + -472. Let z = -6.52 + a. What is the closest to -1/3 in -6, z, 0? 0 Let q = -15541 - -15545. Which is the closest to 57? (a) 0.7 (b) q (c) -5 b Let z = -2.799 + 2.399. Let q = -311/1162 - 3/166. Which is the nearest to q? (a) -0.2 (b) z (c) -41 a Let w = 21951.3 - 21950.3. Let o = -2.3 - -2. Let j = -4 - -3. Which is the nearest to o? (a) j (b) -1/4 (c) w b Let w = 5.3 - 5. Let y = 0.0699 - 0.0209. Let q = 0.189 - y. Which is the closest to 2? (a) q (b) -0.5 (c) w c Let n = -2806/15 - -2804/15. Let j = -0.7 - -0.4. What is the nearest to 2 in -0.1, j, 0.07, n? 0.07 Let f = -36.96033 - 0.03967. What is the closest to f in 1, 5, -1? -1 Suppose -4*x + 3 = -x. Let f be 2/(-16) - (-5)/20. Let y = 170 - 681/4. Which is the nearest to 1? (a) x (b) y (c) f a Let v = 1.68 - 1.648. Let p = 646 - 641.968. Let q = p - v. Which is the closest to 5? (a) 2/9 (b) q (c) 1/9 b Let j = 6972 + -6971.6. Which is the closest to -10? (a) -6 (b) j (c) 0.2 (d) 1 a Let w = 1602/5 - 6893/20. Let x = w + 24. Let n = 32 - 31.5. Which is the nearest to -3? (a) x (b) n (c) 1/4 a Let r = 319 - -209. Suppose -7*u = 4*u + r. Let g be 14/(-147)*-7 - (-38)/u. Which is the nearest to -0.1? (a) 4 (b) 0.3 (c) g c Let o = 0.01416 + 2.98584. Which is the nearest to -17? (a) o (b) -3 (c) -4 (d) -1 c Let c = 5689/10066 - -9/1438. What is the nearest to -2/3 in 2/19, 55, c? 2/19 Let p = 215.03 - 216. Let z = -0.03 + p. Let f = -775 - -774. Which is the nearest to f? (a) 1 (b) z (c) -0.7 b Let r = 895 + -6269/7. Which is the nearest to 0.1? (a) -31 (b) 4 (c) r c Let g = 0 + 4. Let m = 1080 - 1808. Let l = m + 3651/5. Which is the nearest to 1? (a) -4 (b) g (c) l c Let f = -1.4005 + -38.5995. What is the closest to f in 1/6, 5, 5/6? 1/6 Let z = -1517 - -780. Let k = z - -5899/8. What is the closest to 2/5 in 0.5, -2/9, 1/8, k? k Let v = 0.86 - 0.16. Let f = 230 - 228.8. Let i = f - v. What is the closest to -1 in 1, i, -2? -2 Let b = 5.1 - 5. Let n = -17 + -7. Let p = n + 24.5. What is the nearest to -2/5 in -2/7, b, p? -2/7 Let p = -1.933 - -2.033. What is the nearest to p in 1, 4, 8.6? 1 Let w = -583.3105 - -583. Let c = w - -0.0105. What is the closest to 0 in 4, c, 0.4, -1/5? -1/5 Let s = 7 + -1. Let i = s + -14. Let m = -40805/3 - -13601. Which is the closest to 2/5? (a) i (b) -0.2 (c) m b Let q = 77.5 - -3.5. Let o = q + -82. Let x(i) = -i**3 + 15*i**2 + 15*i + 19. Let d be x(16). Which is the nearest to o? (a) d (b) 2/3 (c) 0.038 c Let m = 2.993 + -3.093. Let r = -0.018 + -2.882. Let p = -0.1 + r. Which is the nearest to m? (a) p (b) 1/5 (c) 0 c Let p be 2/7 - (-8)/(-77). Let u = 0.057 + 2.113. Let f = -0.17 + u. What is the nearest to f in -0.5, p, 4? p Let r = 0.05 - 4.05. Let i = 1625321/195 + -8335. Let s = 2/15 - i. What is the nearest to 0.4 in -1, s, r? s Let o(y) = y**2 + 4*y - 20. Let n be o(-6). Let l be n/158*-9*12/36. Let q = l + 596/237. Which is the nearest to -1? (a) 3/4 (b) q (c) -0.3 c Let i = -40480 + 40476. Which is the nearest to 4/161? (a) 1/6 (b) -5/3 (c) 4 (d) i a Let x = -16.93 + 17. Let b = 520/41 - 5679/451. What is the closest to 1 in b, x, -1? b Let r = 9158 - 9157.8. What is the closest to r in -11, -0.4, 1? -0.4 Let v = -6 + 10. Let y = 131 - 131.456. Let h = 0.056 + y. Which is the closest to 0? (a) h (b) v (c) -0.5 a Let l be -8 + -3 + 702/65. Let n = -0.05 + 0.45. Let x = 0.3 - n. What is the closest to x in 0.3, l, -5? l Let j be (-4 + 30/6)*(-6)/(10 + -12). What is the nearest to 7 in -9/2, j, 4? 4 Let j = 236 + -6371/27. Let u = -23/108 - j. Which is the nearest to -1? (a) u (b) -5 (c) 5 a Let f = -31190/7 + 4456. Let l = 12.9 + -12. Let x = -0.8 + l. What is the nearest to x in f, 0.4, 25? f Let i = -0.121 - -3.121. Let f be -8 + 7 - ((-3)/(-1) + -6). What is the nearest to -0.2 in f, i, 2/11? 2/11 Let l = 11.8 + -11.9. Let x = 105 - 105.1. Which is the nearest to x? (a) l (b) 0.2 (c) 3 a Let q be 7/((-187)/(-68) + (-2 - (-33)/12)). Let r = -2/105 - -13/21. Suppose 0 = -4*k + k - 3. What is the closest to k in q, -0.3, r? -0.3 Let a(m) = m**3 - 7*m**2 + 11*m - 14. Let g be a(6). Let t = -0.0227 - -4.0227. What is the nearest to -0.3 in 2/5, t, g? 2/5 Let i be ((-10)/5 + 3)*(35 + -38). Which is the closest to 46? (a) 4/3 (b) i (c) -4 (d) 1 a Let p = 0.37 - 0.47. Let j(u) = -50*u + 1755. Let r be j(35). What is the closest to 4 in r, p, -6? r Let t = -61/52 - -12/13. Let i = -11.11 + 10.431. Let s = 0.479 + i. What is the nearest to -1 in 2, t, s? t Let i = -86/455 - 1/91. Let u(f) = -f**2 + 1. Let j be u(2). Let n = 0.83 - -1.17. Which is the nearest to -2/3? (a) j (b) i (c) n b Let n = 0.4 + -0.3. Let m(s) = 2*s**3 - 12*s**2 + 23*s - 16. Let f be m(2). Which is the nearest to -8? (a) n (b) f (c) -3 c Let j = 5543.1 - 5543. What is the closest to j in 0.5, -146, -1/2? 0.5 Let a = 28.03 + -27.99. What is the nearest to 0.1 in a, -3, -5? a Suppose -4*c - c = -a - 105, 0 = -3*c - a + 55. Let t(u) = 2*u - 3. Let w be t(-6). Let l = w + c. What is the closest to -2/5 in -0.3, l, 3/2? -0.3 Let y = 687.3 - 694.3. What is the nearest to 2 in y, -24, 0.3? 0.3 Suppose 0*g = -5*g + 25. Let f be (-556 + 28)/16 - -21. What is the closest to -2/7 in 0.5, 2, g, f? 0.5 Let g = -3967/3 - -1322. Let b be ((-32)/(-24))/(6/(-9)). What is the nearest to g in -1, -3/2, b? -1 Let y = -0.2 + 0. Let s(j) = -j**3 + 21*j**2 - 53*j - 10. Let h be s(18). Let d be ((-2)/h)/(33/66).
{ "pile_set_name": "DM Mathematics" }
est value in 5, -1/2, -10? -10 Which is the second biggest value? (a) 37 (b) -1/5 (c) -5 (d) 2 d Which is the biggest value? (a) 4 (b) -2/5 (c) 2 a What is the third biggest value in -70, -0.2, 5/4? -70 Which is the second smallest value? (a) -1/17 (b) 4 (c) -0.3 (d) 1/67 (e) -1 c What is the second biggest value in 1, 8/9, 3/5? 8/9 Which is the third biggest value? (a) 2/11 (b) -3/4 (c) 9/4 (d) -2/7 d What is the third smallest value in -1/7, 821, -0.3, 5? 5 Which is the biggest value? (a) 12 (b) 0.4 (c) -4 (d) 0.07 a What is the second smallest value in 201, -2/7, -4? -2/7 Which is the second smallest value? (a) 0.055 (b) -6 (c) -1 c Which is the smallest value? (a) -0.3 (b) 2 (c) 1 (d) -366/7 d Which is the third smallest value? (a) -2/5 (b) 3 (c) 2.2 b What is the second biggest value in 0, -13/6, 30? 0 Which is the smallest value? (a) 0.023 (b) -14 (c) -2/13 b Which is the second biggest value? (a) 1 (b) 2/15 (c) 35 a Which is the fourth biggest value? (a) 3 (b) 1.7 (c) -5 (d) 2 (e) 4 b What is the second biggest value in 0.2, 0.1, 44/15? 0.2 Which is the third biggest value? (a) 4 (b) 192 (c) -3 c Which is the third smallest value? (a) -11 (b) 2/7 (c) -0.2 (d) 0.3 b What is the third smallest value in -9, 42, -0.3? 42 Which is the smallest value? (a) 0.05 (b) -3/2 (c) -1.6 (d) 4 c Which is the fifth biggest value? (a) -13 (b) -21 (c) -0.1 (d) 2/9 (e) 3 b What is the second biggest value in -0.013, 4, 1? 1 Which is the third smallest value? (a) -2 (b) 75 (c) -1/5 b What is the biggest value in -4, 0, -0.5, -344? 0 Which is the smallest value? (a) 0.5 (b) 3/2 (c) 3/5 a Which is the second smallest value? (a) -11 (b) -0.1 (c) -0.17 c What is the third biggest value in -1/10, 0.3, 1/4, -0.3? -1/10 What is the smallest value in -3, -0.1, 4, -762? -762 What is the smallest value in 2/9, -2, 166, -15? -15 What is the biggest value in -3/5, 2/3, 47, 4, -2? 47 What is the third smallest value in -22, 22, 0, 2? 2 What is the fourth biggest value in 136, 0.2, -5/6, 3? -5/6 Which is the smallest value? (a) 7 (b) 3/2 (c) -3 (d) 2/27 (e) 5/4 c Which is the third smallest value? (a) 1.1954 (b) 0.1 (c) 2 (d) 0.2 a What is the second biggest value in 51, -52, 5? 5 What is the biggest value in -1/3, 3/19, -3? 3/19 Which is the third smallest value? (a) 1/2 (b) -1/5 (c) -0.4 (d) 4/7 a Which is the second biggest value? (a) -5 (b) 3 (c) -2/157 c What is the second smallest value in 0.03, 0.5, -1, -6, 3? -1 What is the second biggest value in 5, -3, -83/5? -3 Which is the second biggest value? (a) -1/2 (b) 3/7 (c) -1/4 c What is the second biggest value in 2, -113, 30? 2 Which is the third biggest value? (a) 0.1 (b) -1 (c) 62 (d) -4 (e) 3 a Which is the biggest value? (a) 4 (b) -1/93 (c) 3 (d) 0.02 (e) -1/5 a Which is the fourth smallest value? (a) -25 (b) 1 (c) -0.3 (d) -5 (e) -2 c Which is the third smallest value? (a) 2 (b) -0.026 (c) -2 a Which is the smallest value? (a) -2/13 (b) 2316 (c) 4 a What is the biggest value in 25, 1/5, 0.6? 25 Which is the fourth biggest value? (a) 5 (b) 1/3 (c) 0 (d) 2/7 c What is the third smallest value in -0.1, 2/5, 4/3, -5? 2/5 What is the second smallest value in 2, 5, 12/7, 10/3? 2 Which is the second smallest value? (a) 2 (b) -55 (c) 4 a What is the third smallest value in -0.5, 0.2, 3, -3/4? 0.2 What is the smallest value in 5, -0.2, -14/5, 28? -14/5 Which is the second smallest value? (a) -4 (b) -2 (c) 153 b Which is the smallest value? (a) -1 (b) 2/5 (c) 2/15 (d) -2 d What is the smallest value in -2, 43, -0.1, 3? -2 What is the fourth biggest value in 10, 4, 378, 2/9? 2/9 What is the biggest value in 3, 1/2, 54, 2, 0? 54 Which is the smallest value? (a) 1 (b) -2 (c) -50 (d) 0 c Which is the fourth smallest value? (a) 0.2 (b) -0.2 (c) 2/11 (d) -0.1 a Which is the fourth smallest value? (a) -1/3 (b) -2/3 (c) -13.5 (d) 0.6 d Which is the second smallest value? (a) 0.4 (b) 2/19 (c) -2 (d) 13/3 b What is the fourth smallest value in 8, -0.3, -1, -2/11? 8 Which is the third biggest value? (a) 0.3 (b) -2/11 (c) 3/7 (d) 0 (e) -3/17 d What is the second smallest value in 0, -7, -3/8, 2? -3/8 What is the second biggest value in 2/187, 1/3, -7? 2/187 What is the fourth smallest value in -0.4, 29, 3, 0.8? 29 What is the third smallest value in 0.4, -2/9, -3/10, 0.2, -4? -2/9 What is the second biggest value in -2, -1/8, 5, 4, 123? 5 What is the smallest value in 27, 0, 2? 0 What is the third biggest value in -5, 14/11, 2? -5 What is the smallest value in 0.09, 64, -4, 1/4? -4 Which is the third biggest value? (a) 4.1 (b) 60 (c) 0 c Which is the third smallest value? (a) -2/3 (b) -6 (c) -2 (d) 3 (e) 0.2 a Which is the third biggest value? (a) -8 (b) -2 (c) -6.6 a Which is the biggest value? (a) 0.006 (b) -1/14 (c) -0.2 a What is the second biggest value in -5, -34, 4, 0.3? 0.3 Which is the third biggest value? (a) 20/563 (b) -3 (c) 1 b Which is the second smallest value? (a) -2 (b) -0.8 (c) 3/4 b What is the third smallest value in 10, -3, 3/2, 3? 3 What is the smallest value in 0.4, 0.3, 5, -1? -1 Which is the fourth biggest value? (a) 83 (b) 0.2 (c) -2/11 (d) 5 c Which is the biggest value? (a) -8 (b) -1/5 (c) -2 (d) -15 (e) 0.1 e Which is the fourth biggest value? (a) -3 (b) -4 (c) 0.5 (d) -0.7 (e) -1/2 a What is the second biggest value in 5, -6.2, 1/3, 2/19? 1/3 Which is the fifth smallest value? (a) 1/2 (b) 0.3 (c) 1/3 (d) -40 (e) -1/7 a What is the second smallest value in -8/23, 4, -16? -8/23 Which is the fourth smallest value? (a) 1/16 (b) 2/3 (c) -2/5 (d) 0.04 b What is the second smallest value in -122, -1/2, 0.05, -1/9? -1/2 What is the third smallest value in 2, -18, -0.07? 2 What is the smallest value in 3, 1, -26? -26 Which is the second biggest value? (a) 5 (b) 7/4 (c) -2 b Which is the second smallest value? (a) 3 (b) -4/5 (c) -1/4 c Which is the second smallest value? (a) 6/7 (b) -26 (c) -8/11 c Which is the smallest value? (a) 1 (b) -3/5 (c) 0 b What is the third biggest value in 1/6, -4/5, 0, -17? -4/5 What is the biggest value in -3, -1, 2, 4/3? 2 What is the biggest value in 15, 2/3, 1/3, 1/4, 4? 15 What is the second biggest value in -0.0225, -3/5, -0.5? -0.5 What is the third biggest value in 5, -2/5, -391, -3? -3 What is the second biggest value in -2/9, -0.3, -189? -0.3 What is the fourth smallest value in -2, -2/13, 0, -0.005, -3/2? -0.005 What is the fourth biggest value in 9, 5, -0.1, -2.2, -6/11? -6/11 What is the second smallest value in -87, -2, 2/3, -3/10? -2 What is the second smallest value in 8, -2/3, 10/7, -0.5, 1? -0.5 What is the second biggest value in -6, -18, -7/6? -6 Which is the biggest value? (a) 8 (b) -4 (c) 0 (d) -0.4 a Which is the third biggest value? (a) 0 (b) 5 (c) -694 c What is the fourth smallest value in 0.1, 10, -0.3, 5? 10 Which is the biggest value? (a) -377 (b) -1 (c) 2 c What is the second biggest value in -46, 6, -3? -3 What is the smallest value in 0.027, 3, -1? -1 What is the third smallest value in 2/11, 1/5, 10? 10 What is the third smallest value in 8, -1, 0.08? 8 Which is the third biggest value? (a) -0.008 (b) -17 (c) -3 b What is the second biggest value in 0.13, -3, 0? 0 What is the biggest value in -1/11, 3/5, 1/5? 3/5 What is the fourth biggest value in -5, 95, -1/3, 0.3? -5 What is the second biggest value in 1/4, -0.5, 182.7? 1/4 What is the smallest value in -2, 4, -4/5, 12? -2 Which is the third biggest value? (a) -0.4 (b) 2 (c) -2/7 a Which is the fourth biggest value? (a) 5 (b) -13 (c) -6 (d) 2 b Which is the smallest value? (a) -8 (b) 0 (c) -2/5 (d) 2/225 a What is the smallest value in -2/7, -3/7, 26, -2, -0.1? -2 What is the third biggest value in -2/7, 2, -327, 0.4? -2/7 What is the smallest value in 7, -1, 9, -0.1? -1 What is the third biggest value in 0.2, -0.2, 0.09? -0.2 Which is the biggest value? (a) 4 (b) 1 (c) -1/4 (d) 0 a What is the third biggest value in -12, -10, 2/11, 5? -10 What is the second biggest value in -7.6, -5, -36? -7.6 Which is the smallest value? (a) -10 (b) -0.4 (c) -3 (d) 1 a What is the big
{ "pile_set_name": "DM Mathematics" }
18? True Is 108 a factor of 4868995? False Is 2714 a factor of 732468018? False Does 62 divide 420463626? False Does 12 divide 231895425? False Is 8 a factor of 426726984? True Is 198192968 a multiple of 900? False Does 231 divide 154960575? True Is 26 a factor of 333480028? False Is 6431275 a multiple of 215? False Does 1137 divide 148559283? True Does 1455 divide 24485333? False Does 195 divide 32313255? True Does 25 divide 136121973? False Is 17 a factor of 1237587? False Does 260 divide 610714653? False Does 269 divide 28469346? True Is 1170226715 a multiple of 239? False Is 1133206799 a multiple of 499? False Does 4 divide 8684019? False Does 48 divide 875545546? False Is 4249 a factor of 202326060? False Does 370 divide 329826858? False Is 919050 a multiple of 11? True Does 12 divide 68347311? False Is 160074841 a multiple of 116? False Is 23 a factor of 266331931? False Is 73672693 a multiple of 73? False Is 5900 a factor of 1452469421? False Is 2116 a factor of 100192600? True Is 48 a factor of 727967760? True Is 346 a factor of 359026554? True Is 181 a factor of 338008928? False Is 46 a factor of 9312713? False Is 1198 a factor of 248787046? False Is 179 a factor of 468244093? False Is 1740956250 a multiple of 5? True Is 160597570 a multiple of 14? True Is 123153293 a multiple of 11? False Does 2577 divide 279734415? False Is 1034 a factor of 27404380? False Is 2939663254 a multiple of 62? False Is 1351745677 a multiple of 689? False Does 2198 divide 252047958? False Is 87860400 a multiple of 50? True Does 1155 divide 76702395? True Does 15 divide 30151062? False Is 5 a factor of 16330315? True Does 1175 divide 284461625? True Does 366 divide 15283062? True Is 61341340 a multiple of 9? False Is 1229330 a multiple of 4? False Is 1000 a factor of 176703000? True Does 112 divide 6910644? False Does 18 divide 152395056? True Does 952 divide 184406387? False Does 12 divide 11047188? True Is 2099 a factor of 2039705349? True Is 106438914 a multiple of 9? True Is 33 a factor of 2712369? True Is 5391440 a multiple of 95? True Is 59 a factor of 850665363? True Is 322509086 a multiple of 8? False Is 32962872 a multiple of 631? False Is 169293306 a multiple of 247? True Does 111 divide 156509667? True Is 157222436 a multiple of 386? False Is 67689368 a multiple of 52? False Is 699 a factor of 121788867? True Is 11 a factor of 155923748? False Does 2680 divide 1152550080? True Does 372 divide 22823688? True Does 285 divide 856018? False Does 1484 divide 97684312? False Is 11 a factor of 17230477? True Does 122 divide 59337157? False Is 1830 a factor of 132321810? True Does 59 divide 19154289? False Does 10 divide 21481883? False Does 3 divide 112189115? False Does 401 divide 16332329? True Is 1230507252 a multiple of 9? True Is 8 a factor of 170861104? True Is 21 a factor of 116341008? True Is 89 a factor of 1064031799? False Does 36 divide 660717255? False Does 262 divide 20129198? True Is 52039262 a multiple of 202? False Is 18 a factor of 335920723? False Is 315574250 a multiple of 5245? False Is 535 a factor of 3074296539? False Does 1218 divide 106025682? True Is 1864 a factor of 155526568? True Does 7 divide 2161404? True Does 24 divide 377203848? True Is 2 a factor of 2029249? False Is 11 a factor of 21134935? False Does 3937 divide 161300640? False Is 3695 a factor of 278433325? False Is 25984700 a multiple of 196? True Is 284113857 a multiple of 41? False Is 920 a factor of 85008200? False Does 1262 divide 15642490? True Is 456 a factor of 6535080? False Is 262438533 a multiple of 973? True Does 4 divide 526309871? False Does 2035 divide 20243566? False Does 42 divide 556369674? True Is 73057822 a multiple of 3? False Is 39 a factor of 29842878? True Is 275784652 a multiple of 572? True Does 36 divide 50023980? True Is 4582 a factor of 140273348? True Is 1151774667 a multiple of 459? True Does 29 divide 1534767464? True Is 62 a factor of 306156? True Is 1534915302 a multiple of 79? False Is 3 a factor of 4938833? False Is 411 a factor of 1060294055? False Is 1002 a factor of 217754578? False Is 3646500 a multiple of 22? True Is 167285340 a multiple of 58? True Is 237803757 a multiple of 175? False Is 626371901 a multiple of 205? False Is 421 a factor of 3073724497? False Is 4 a factor of 5503064? True Is 24 a factor of 184923864? True Does 324 divide 1111239000? True Is 1311255764 a multiple of 29? True Does 42 divide 5778370? False Is 957 a factor of 139810265? False Is 178 a factor of 7435943? False Is 660460812 a multiple of 6052? True Does 736 divide 227875557? False Is 2810 a factor of 145080300? True Is 4415416190 a multiple of 160? False Is 141 a factor of 28918506? False Is 7852164 a multiple of 4? True Does 193 divide 2217847727? True Is 250403072 a multiple of 48? False Is 314410258 a multiple of 14? False Is 372 a factor of 335807385? False Is 2 a factor of 5806185? False Does 192 divide 33397987? False Is 41303631 a multiple of 43? False Does 1650 divide 76652483? False Does 194 divide 97294556? False Is 144 a factor of 12746736? True Does 2894 divide 1303492328? True Does 2424 divide 93639122? False Is 1851466650 a multiple of 33? True Is 60 a factor of 474060? True Is 7 a factor of 8248535? False Does 2591 divide 3948508047? False Is 1360922382 a multiple of 69? False Is 17991253 a multiple of 2675? False Is 22 a factor of 45852400? True Does 75 divide 6263658549? False Is 128 a factor of 4738392958? False Does 297 divide 23372118? True Is 1957 a factor of 376865056? False Is 318822907 a multiple of 4? False Does 2020 divide 1985126071? False Does 5 divide 10347196? False Does 122 divide 144356326? False Is 58917096 a multiple of 29? True Is 637 a factor of 123056297? True Does 15 divide 434137005? True Does 470 divide 29915249? False Does 6 divide 65701382? False Does 792 divide 137051085? False Does 7 divide 1874485648? True Is 252922353 a multiple of 875? False Does 363 divide 32527341? True Is 28550816 a multiple of 5? False Is 41027290 a multiple of 170? True Is 175715035 a multiple of 232? False Does 28 divide 123996572? True Is 241 a factor of 14334680? True Does 48 divide 240619952? False Is 361 a factor of 1539589971? False Is 295 a factor of 19322205? True Does 729 divide 6823519? False Is 17 a factor of 244174978? True Does 1848 divide 736102752? True Does 165 divide 1211884067? False Is 10106225 a multiple of 5322? False Is 27 a factor of 136295892? True Is 4850 a factor of 138195900? True Is 263659629 a multiple of 2? False Is 41 a factor of 62638262? False Is 2671 a factor of 109052407? False Is 1574614868 a multiple of 34? True Is 2159720329 a multiple of 13? True Is 4317641911 a multiple of 12? False Is 35 a factor of 1209456255? True Is 589 a factor of 2414026472? False Is 318132542 a multiple of 14? True Does 994 divide 19066908? True Is 1681 a factor of 612794485? False Is 2807 a factor of 799827428? False Does 225 divide 88744411? False Does 470 divide 16362580? True Is 44551314 a multiple of 38? True Does 2130 divide 807632708? False Is 8382047 a multiple of 8? False Does 1412 divide 546219492? True Is 128047724 a multiple of 7? True Is 271183978 a multiple of 59? False Does 2864 divide 425223228? False Is 49 a factor of 119093079? True Does 1917 divide 498607866? True Is 150 a factor of 385201245? False Does 3858 divide 211728434? False Does 289 divide 5259944789? True Is 34336071 a multiple of 384? False Is 9 a factor of 18388944? True Does 1668 divide 39738221? False Is 199138614 a multiple of 2857? True Is 25 a factor of 94709696? False Is 3513 a factor of 230863733? False Does 443 divide 20493411? False Is 414506473 a multiple of 538? False Is 870 a factor of 91866719? False Is 174 a factor of 1451092314? True Does 156 divide 68574780? False Is 3 a factor of 120124007? False Is 544 a factor of 96912165? False Is 1039 a factor of 20892454? False Is 101088172 a multiple of 212? True Is 9217941 a multiple of 48? False Is 10493340 a multiple of 660? True Is 248 a factor of 54614572? False Does 99 divide 64206252? True Is 2731626 a multiple of 7? False Is 123 a factor of 7243593? True Is 87 a factor of 21580713? False Is 2330 a factor of 91047080? True Is 44 a factor of 1891040? False Does 368 div
{ "pile_set_name": "DM Mathematics" }
= x - 9. Let o = d + 18. What is the tens digit of o? 1 Let v(k) = k - 6. Let p be v(8). Suppose 6 + 10 = 2*j. What is the units digit of (-4)/j*(-8)/p? 2 Suppose -20*n + 13*n + 532 = 0. What is the units digit of n? 6 Suppose -c + 671 = 3*o, -3*o + 2*c = o - 898. What is the hundreds digit of o? 2 Let z(y) = -y - 2. Suppose 2*v = 7*v. Suppose -5*c = 5*w + 25, 2*c + v*w - w = -13. What is the units digit of z(c)? 4 Let k be (-4)/(-3) + 3/(-9). Let p(u) = 2*u**2 + 1. What is the units digit of p(k)? 3 Suppose 3*n = 9, -l = 2*n + n - 8. Let p = l - -6. Suppose 0 - 10 = -p*v. What is the units digit of v? 2 Suppose -c = 2*m - 6*m, 5*c = 5*m. Let d = c - -4. Suppose 1 = 3*o - 5*a + 3, -d*a = 5*o - 9. What is the units digit of o? 1 Let p be 3 - -1 - (4 + -2). Let y(k) = -4*k - 2*k**2 + k**3 + 4 + 2*k**2 + 5*k**2 - p*k**2. What is the units digit of y(-4)? 4 Suppose 4*d = 5*d - 41. What is the units digit of d? 1 Suppose -3*t + 3*m = 0, -4*t + m - 2 = 13. Let k = t - -25. What is the tens digit of k? 2 Suppose 3*h - 45 = -p + 31, h + p = 26. Let y = -12 + h. What is the units digit of y? 3 Suppose s - 3*l - 12 = 6, -10 = -s + l. Let k(j) = j**3 - j**2 + j - 4. Let r be k(0). Let c = r + s. What is the units digit of c? 2 Suppose -3*z - 17 = 34. Let t = z + 37. Suppose 4*x - 3*b = 18, 3*b - 4*b = 3*x - t. What is the units digit of x? 6 Let u(z) = -z - 5*z**2 + 5 - z**3 - 5*z - z**2. Suppose -2*h - 7 = 3. What is the units digit of u(h)? 0 Suppose 0 = -a - 5*f + 27, -a - 4 = -2*f + 4. Suppose -t + a = -0*t. What is the units digit of t? 2 Let f be (-1)/((-3)/(-3))*-1. Suppose -2*n + 2*z - f + 7 = 0, 4*n - 6 = 2*z. Suppose 0 = -n*g - 2*g + 30. What is the units digit of g? 5 Suppose -s - 21 = -2*s. Suppose 4*d + s - 9 = 0. Let w(a) = a**3 + 3*a**2 - 4*a - 4. What is the units digit of w(d)? 8 Let m be (1 - 1)*(-2)/(-4). Suppose -2*w - 2*w + 16 = m. Suppose -8 = -k - w. What is the units digit of k? 4 Suppose -4*w + 545 = -291. What is the units digit of w? 9 Let b = -83 + 105. What is the tens digit of b? 2 Let r(f) = -f**3 - 6*f**2 - 3*f + 4. Suppose -7*l = -5*l + 12. What is the units digit of r(l)? 2 Let a(d) = -43*d + 2. What is the units digit of a(-10)? 2 Let y = -46 - -5. Let d = 59 + y. What is the units digit of d? 8 Let w = 10 + -7. What is the tens digit of 64/3 + (-1)/w? 2 Let p(d) = -d**3 - 16*d**2 + 13*d + 20. What is the tens digit of p(-17)? 8 Suppose 0*h - h + 46 = 0. What is the tens digit of h? 4 Let j = -126 - -412. What is the hundreds digit of j? 2 Let m(t) = -4*t + 1. Suppose p + 4 = -p. What is the units digit of m(p)? 9 Suppose 3*x = -3*d + 675, -4*x = -3*x + 3. What is the tens digit of d? 2 Let i(m) = -2*m - 12. Let z be i(-8). Let d be ((-6)/4)/(z/8). What is the units digit of (d - -12)*8/6? 2 Suppose -q = -5*f - 49 - 28, -3*q - f = -247. What is the units digit of q? 2 What is the units digit of 346/10 - 2/(-5)? 5 Suppose -5*f + 7 = -2*p, f - 3*f + 5*p = 14. What is the units digit of f? 3 Let j(g) = g - 2*g + 2*g - 4 + 3. What is the units digit of j(6)? 5 Let u = 5 - 1. Suppose -o + 15 = 2*o. Suppose -u*c + 0*l + 64 = -4*l, -c + 20 = -o*l. What is the tens digit of c? 1 Let l = -41 - -95. What is the tens digit of l? 5 Suppose 0 = -4*w - 0 + 4. Let j = w - -6. What is the units digit of j? 7 Suppose -2*n = -3*n + 2, -3*n = -4*s + 122. What is the tens digit of s? 3 Suppose -2*u + 25 + 5 = 0. What is the units digit of u? 5 Let k = -16 - -11. What is the units digit of (1 + 0)*k/(-5)? 1 Suppose -5*q - 272 = -m - 0*q, 3*m - 816 = 2*q. What is the units digit of m? 2 Suppose 3*u + 0*u - 9 = 0. Let a(i) = -4*i**3 + 2*i**2 + 8*i + 10. Let d be a(-2). Suppose m = u*m - d. What is the units digit of m? 7 Let l(b) be the second derivative of 0*b**3 + 1/12*b**4 + 3/2*b**2 + 0 - 2*b. What is the units digit of l(0)? 3 Suppose -2*d = 5*o - 0*o + 20, 4*d + 4*o = -16. Suppose -3*q + 0*q + 18 = d. What is the units digit of q? 6 Suppose -4*c + 17 + 7 = 0. What is the units digit of c? 6 Let k(o) = o + 1. Let s(y) be the third derivative of y**5/60 - 5*y**4/24 + 2*y**2. Let w be s(6). What is the units digit of k(w)? 7 Let n(b) = 15*b - 17. What is the tens digit of n(10)? 3 Let f = 207 + -124. What is the units digit of f? 3 Let s(q) = 10*q**2 - 19. What is the hundreds digit of s(4)? 1 Suppose -86 - 28 = -3*m. What is the units digit of m? 8 Let y = -8 + 4. Let t(d) be the third derivative of -d**6/120 - d**5/12 - d**4/4 - 5*d**3/6 + d**2. What is the units digit of t(y)? 3 Suppose 0 = 2*n - 281 - 99. What is the tens digit of n? 9 Let o be 1/3*144/(-12). Let b = -6 - 0. What is the units digit of (o/6)/(1/b)? 4 Suppose 5*w - 3*x - 15 - 115 = 0, -2*x - 79 = -3*w. What is the units digit of w? 3 Let q(x) = -x + 2. Let j be q(3). What is the units digit of ((-11)/(-2))/(j/(-2))? 1 Let m(x) = x + 10. Let b be m(-10). Let l(p) = 10*p - 3 + b - 6 - 7*p. What is the units digit of l(8)? 5 Let b = -30 + 59. What is the units digit of b? 9 Let l(b) = b - 8. Let f be l(8). Suppose f*d = -3*d + 75. What is the tens digit of d? 2 Let a(f) = -f + 4. What is the tens digit of a(-6)? 1 Let m(u) = u - 2. Let q be m(2). Suppose q = -s + 4*s - 12. Suppose s = 2*y + 2*b, 7 + 3 = 4*y + 2*b. What is the units digit of y? 3 Let c = -466 + 691. What is the hundreds digit of c? 2 Let v(t) = 2*t**2 + 6*t - 3. Let l be v(-5). Suppose l = 4*f + x, -f - 5*x = -2*f - 22. Let y = f - -8. What is the units digit of y? 1 Let s(n) = 2*n + 2. Let r be s(7). Let p = r - 9. What is the units digit of p? 7 Let y(p) = 5*p - 3. What is the units digit of y(4)? 7 Let a(f) = 6*f - 1. Let k be a(1). Suppose -4*x = 2*w - 18, -3 = -4*x + x - k*w. Suppose r = x*r - 100. What is the tens digit of r? 2 Let b be -1 - (0 + 3 + -1). Let u = 12 + b. What is the units digit of u? 9 Let j be (-116)/(-6) + (-6)/18. Suppose 5*m = j + 6, -3*s = -5*m + 25. Suppose 3*o - l - 63 = s, 2*o - l - 17 = 26. What is the tens digit of o? 2 Let j be 3/(-4) + (-70)/(-8). Suppose -j*i = -9*i + 28. What is the tens digit of i? 2 Suppose 0*l - 4*l = -120. What is the units digit of l? 0 Suppose -d + 275 = f + 2*f, -3*d - 75 = -f. What is the tens digit of f? 9 Let a be (48/(-18))/(4/(-174)). Suppose 4*m - 64 = a. What is the units digit of m? 5 Let v = 43 + 20. What is the tens digit of v? 6 Suppose -s + 34 = 8. What is the tens digit of s? 2 Suppose 3*w - 15 = -6. Suppose -4*s + 22 = 5*g - 37, -s = -w*g + 32. What is the units digit of g? 1 Let c be (15/12)/((-1)/(-4)). Let v(p) = -p**2 + 7*p - 5. Let u be v(c). Suppose -70 = -u*h - 30. What is the units digit of h? 8 Suppose -241 = -8*r + 439. What is the units digit of r? 5 Let d(j) be the first derivative of j**4/12 + 7*j**3/6 - 3*j**2/2 - 3*j + 2. Let m(h) be the first derivative of d(h). What is the units digit of m(-8)? 5 Suppose o + g - 67 = 0, 2*g - g = -5*o + 335. What is the tens digit of o? 6 Suppose t + 2 = 4. Suppose 0 = t*c - 4*c. Suppose c*s = -5*s + 60. What is the tens digit of s? 1 Let a(m) = 6*m**2 + m + 1. Let n be a(-1). Let p = n + -2. What is the units digit of p? 4 Suppose -3*p + 7*j - 2*j - 8 = 0, 0 = -2*p + 2*j - 4. Let f be (-4)/(1*(-2)/2). What is the tens digit of ((-2)/f)/(p/34)? 1 Let u(o) = o**2 + 10*o - 2. Let v be u(-8). Let n = v + 55. Let t = n - 26. What is the tens digit of t? 1 Let w = 6 + -4. Let d = 7 - w. What is the units digit of d? 5 Let j(s) = s**2 - 7*s + 4. Let z(n) = n + 1. Let i(a) = j(a) + 3*z(a). What is the units digit of i(5)? 2 Suppose -2*b = h - 9, -5*b + b + 8 = 0. Suppose 5*t + 1 - 21 = 0, h*x + t = 29. What is the units digit of x? 5 Let y(i) = i**3 + 6*i**2 + i - 4. Let g be y(-6). What is the units digit of (-24)/(-10) - 6/g? 3 Let i(n) = -13*n - 5. Let t be i(-4). Let q = t - 31. Suppose -11 = o + 4*m, 3*o - q = -o + 4*m. What is the units digit of o? 1 Suppose 0 = -3*w + 4*w - 79. What is the tens digit of w? 7 Suppose -5*a = 5*v - 250, 5*a + 182 = -0*v + 3*v. Suppose 58 = 2*c + 3*c + 2*i, i - v = -5*c. What is the units digit of c? 0 Let r(h) be the second derivative of h**5/20 - h**4/3 + 2*h**3/3 + h**2/2 - h. What is the units digit of r(4)? 7 Suppose -2*p = 2*x + 3*p - 83, 179 = 5*x + 3*p. Suppose j - 3*j + x = 0. What is the units digit of j? 7 Let z = 134 - 81. What is the uni
{ "pile_set_name": "DM Mathematics" }
= 68 - r. Round n to two dps. -0.37 Let u = -220 + 220.169. Let j = u + -0.168999926. What is j rounded to 7 dps? 0.0000001 Let h = -0.0975 + 0.0546. Let m = 1.1429 + h. Round m to the nearest 10. 0 Let z = -0.9055 - 0.0661. Round z to 1 decimal place. -1 Let a = 27795 - 29159.1. Round a to the nearest 10. -1360 Let g = -0.0562 + -8943.5438. What is g rounded to the nearest 1000? -9000 Let t = -726 + -326. Let v = 1052.0002862 + t. What is v rounded to five decimal places? 0.00029 Let m(x) = 688*x**3 + 9*x**2 + 85*x + 58. Let b be m(-19). What is b rounded to the nearest one hundred thousand? -4700000 Let n = 17.32111 - 0.14711. Round n to 0 decimal places. 17 Let d = 20.8 + -15. Let z = 781 + -781. Let j = z - d. Round j to the nearest integer. -6 Let h = -46 + 50. Suppose -5*q - 1084999980 = -5*w, -w = 3*w + h*q - 868000016. Suppose w = -6*m - m. What is m rounded to the nearest one million? -31000000 Let z(s) = -1105*s**3 - 15*s**2 + 22*s + 64. Let o be z(3). Round o to the nearest ten thousand. -30000 Let q = -1.1967 + -182.3133. Let o = q + 184. What is o rounded to 1 dp? 0.5 Let g = 32.38564262 - -141.61435568. Let k = g + -174. What is k rounded to six dps? -0.000002 Suppose 48*a - 2848946 + 141401 = -198585. What is a rounded to the nearest 10000? 50000 Let k = -36560715 - -36560716.4699993. Let s = k - 1.47. What is s rounded to six decimal places? -0.000001 Let b = 941.694 - 27.994. What is b rounded to the nearest one hundred? 900 Let a = 5227152649872 - 5227155217003.809863. Let j = a - -2567134. Let u = j + -2.19. What is u rounded to 5 dps? 0.00014 Let i = -641589813.03657 - -641593133. Let h = -3320 + i. Round h to three dps. -0.037 Let j be (17 - 14)/(6/4). Suppose 5*b - 1 = -4*w, 0 = j*w - 0*b - 3*b - 17. Let t be 200*1000*(-6)/w. Round t to the nearest one million. 0 Let c = 6877 - 6520.9. Let p = c + -394. Let j = p + 11.2. Round j to the nearest integer. -27 Suppose 5*f + 4*v + 7076 = 0, 3*f = 3*v - 2011 - 2213. Let o = 847 + f. What is o rounded to the nearest 10? -570 Let v = 134.4 + 445.6. Let p = -581.044 + v. Round p to 1 dp. -1 Let f = 312.33 - 272.3. Let t = -2.22 - f. Let q = t - -42. Round q to 1 dp. -0.3 Let c = 1.126 - -629.874. Let b = 631.01406 - c. What is b rounded to three decimal places? 0.014 Let i = -685 + 487. Let b = i + 197.99902. Round b to three dps. -0.001 Let l = -2693.71 + 94.51. What is l rounded to the nearest ten? -2600 Let p = -60937337 + 60937302.799621. Let u = 34.2 + p. Round u to 4 dps. -0.0004 Let z(a) = -2*a**3 - 5*a**2 - 2*a - 6. Let h be z(-4). Let b be (-4 - 13100*h) + (4 - 0). What is b rounded to the nearest 100000? -700000 Let a = 1.1603 + -1.319. Let c = 3.27 + -3.4. Let b = a - c. Round b to 3 dps. -0.029 Let a = -55045.54022 + 55046. Round a to three decimal places. 0.46 Let m = -22924 - -22923.996597. What is m rounded to 3 decimal places? -0.003 Let w = -3143.445186085633 - 0.554782804367. Let i = w + 3144. What is i rounded to six decimal places? 0.000031 Let k be 17/(-4) - 11/(-44). Let n be (-3 + 2)/(k/20). Suppose 831075 = -n*d - 5568925. Round d to the nearest one hundred thousand. -1300000 Let n = 1.121 + -1.120997325. Round n to 6 decimal places. 0.000003 Let z = 0.0667 - 120.8667. Let u = 140 + z. Let l = u + -18. Round l to the nearest integer. 1 Let t = 190 + -190.176. Let a = t + 27.276. Round a to the nearest integer. 27 Let s = -10821.99 + 10790. Let y = -31.1 + -0.9. Let b = y - s. Round b to two dps. -0.01 Suppose -10*i + 12*i + 5*i = 25389. Round i to the nearest 1000. 4000 Let j(m) = -20793*m + 7. Suppose -25*c - 14 = 11. Let l be j(c). Round l to the nearest 1000. 21000 Let i = -2.494 - -2.4186. What is i rounded to two decimal places? -0.08 Let k = 44677 + -197397. What is k rounded to the nearest ten thousand? -150000 Let v = 9.1046 + -9.104640423. Round v to 5 dps. -0.00004 Let o be 4/(-10) - (-2 + 510/(-25)). Suppose -1215 = o*l - 7749. Round l to the nearest one hundred. 300 Suppose -29 = a - 3*o, -4*a = 3*o - o + 144. Let v be (a/14 - 2/4) + 9603. Suppose 0 = 3*h - 8*h - v. What is h rounded to the nearest 100? -1900 Let j be (-3)/10 - 25/(1750/858507979). What is j rounded to the nearest one million? -12000000 Let h = 2.455 - 0.085. Let i = 2.369778 - h. Round i to 4 decimal places. -0.0002 Let b(g) = 17*g - 53. Let f be b(4). Suppose 0 = -f*y - 77833025 + 791833025. Round y to the nearest one million. 48000000 Let w(s) = 31375*s**3 - 2*s**2 - 9*s - 10. Let x be 2/(-16) - (-630)/(-336). Let m be w(x). What is m rounded to the nearest 100000? -300000 Let s = -37807 - -37806.999975897. What is s rounded to 7 dps? -0.0000241 Let x = 464.89 - 467. Let z = x + 2.1099465. Round z to five decimal places. -0.00005 Let d = -299 + 301.1425. Round d to two dps. 2.14 Let g = 6277917 - -43218043. Let s = -49495956.7999811 + g. Let d = s - 3.2. What is d rounded to six dps? 0.000019 Let d = -213 - -216. Suppose d*t - 15 = 0, 5*l - 1126 = -5*t + 43599. What is l rounded to the nearest one thousand? 9000 Let x = 300.0271 - 0.0271. Let f = x + -300.00000558. Round f to 7 decimal places. -0.0000056 Let s = 44336.56200141 - 44336.843. Let i = -0.281 - s. What is i rounded to seven decimal places? -0.0000014 Let q be (-7)/(28/(-59848036)) + -4 + -5. Round q to the nearest 100000. 15000000 Let b be -3*-1*4/(-12)*1. Let o(r) = 940*r**2 - 3*r - 3. Let q be o(b). Round q to the nearest one hundred. 900 Suppose 11*u - 381836400 = -4*u. Let c = u + 34544240. Suppose -4*d + 7*d = -c. Round d to the nearest 1000000. -20000000 Suppose -98125 = -3*d + 43949. Suppose d = 51*x - 45*x. Let j = x + -2863. What is j rounded to the nearest 100? 5000 Let i be -1 - (-26)/20 - (-147)/420*-155982858. What is i rounded to the nearest 1000000? -55000000 Let q = 18.215 - 0.115. Let o = -18.127 + q. What is o rounded to two decimal places? -0.03 Let v = 2.13 - 24.93. Let a = 0.1842 + -10.7842. Let l = v - a. What is l rounded to zero decimal places? -12 Let u be -3*(-3)/9 + (3 - -14). Suppose -u*j + 35831404 + 94128596 = 0. What is j rounded to the nearest 1000000? 7000000 Let j be 2 + (189/105)/(3/10). Suppose -2*g = -j*g + 20280. Round g to the nearest 100. 3400 Let p = 262 + -268. Let u(d) = 2*d**3 + d**2 - 13*d + 4. Let c be u(p). Round c to the nearest ten. -310 Let v = 3046 + -3047.1256. Round v to one dp. -1.1 Let a = 30 - 18. Let w = 12.1 - a. Let u = 0.13 - w. What is u rounded to 3 decimal places? 0.03 Let o = 470.79 - 130.59. What is o rounded to the nearest ten? 340 Let d = 0.4909007978 - 0.4909. Round d to 7 dps. 0.0000008 Let o = -61.4212126 - -61.42. What is o rounded to five dps? -0.00121 Let a = 602.114135 + -601.99. What is a rounded to two decimal places? 0.12 Let c = -195 - -206.1. Let u = c - 11.0999385. What is u rounded to five dps? 0.00006 Suppose 3*c + 2 = -7, -z + 1353 = -c. Let w be (-180)/z + 73020002/15. What is w rounded to the nearest 100000? 4900000 Let k = -0.0535605 + 0.05511. Round k to 5 decimal places. 0.00155 Let g = -6.15782792 - 298133733.84217208. Let m = g - -298133738.19999977. Let v = -1.8 - m. Round v to seven dps. 0.0000002 Let x = -5363.0000329 + 5363. What is x rounded to 4 decimal places? 0 Let v = 8491.9990562 + -8492. What is v rounded to 5 dps? -0.00094 Let p = -55.02 - -55. Let r = p - -0.4. Let d = -0.37996 + r. What is d rounded to 5 decimal places? 0.00004 Suppose 0 = 9*d - 397454 - 466582. Suppose 14*i - d = -2*z + 10*i, 3*i + 143997 = 3*z. What is z rounded to the nearest ten thousand? 50000 Let b = 1.79206 + -1.14795. Round b to 1 decimal place. 0.6 Let q = -3521 + 3509.19. What is q rounded to 0 decimal places? -12 Let w = 560.2 - -20.8. Let o = -581.324 + w. Round o to 2 dps. -0.32 Let h = 411492.66 - 415447. What is h rounded to the nearest 10? -3950 Let r = -132 - -134. Suppose -4*v + 9 = -v. Let u be (r - 8/v)/(2/(-471)). Round u to the nearest ten. 160 Let k = 1233 + -1232.99991572. Round k to 6 dps. 0.000084 Let h = 2714.027 - 2681.3. Round h to the nearest integer. 33 Suppose -4*w + 40 = -5*g, 4*g - 24 = -2*w - 4. Let c be 2*w*(-48143)/(-62). Round c to the nearest 1000. 16000 Let b = 0.144 - -96.856. Let f = -103.2386 - -200.2483. Let r = f - b. What is r rounded to 3 decimal places? 0.01 Let p = 102805 + -102805.0052863.
{ "pile_set_name": "DM Mathematics" }
the nearest to 2 in i, -0.1, 2/9? 2/9 Let y = -1157 + 1152. Which is the closest to -9/11? (a) -2/9 (b) 5/3 (c) -4/3 (d) y c Let h = 802 + -806. Which is the nearest to -2? (a) h (b) -3 (c) -0.3 (d) 1 b Suppose 5*y - 18 = -3*p, 0*p + 4 = -2*p + 2*y. Let d = 0.5 + -1. Let r = 10.79 + -10.89. What is the nearest to r in p, d, 0? 0 Let g be 3/((-30)/(-25)) - 155/70. Which is the closest to -1/4? (a) -0.2 (b) 43 (c) g a Let w be (32/352)/((-2)/(-4)). Which is the closest to 2/7? (a) w (b) -2 (c) 10 a Let t be -7*((-333)/54 - -6). Which is the nearest to 0.2? (a) -4 (b) t (c) 0.03 (d) -1/4 c Let y = 11254/143 + -864/11. Which is the closest to -1/9? (a) 3/2 (b) y (c) 1/7 c Let i = 457/1624 + 1/232. Let t = 11 - 6. Suppose t*y = 4*y. What is the nearest to y in 0.2, -0.3, i? 0.2 Let a = 721 - 721.1. Suppose -2*n - 1 = -3. What is the nearest to a in -5, n, 5/3? n Let g be ((2 + 1)/(-12))/(9/36). Which is the closest to g? (a) -1 (b) 0 (c) 0.17 (d) 1 a Suppose -2 = -g + 36. Let w be g/90 + (-2 - 32/(-18)). What is the nearest to 0.2 in w, -0.02, -2/7? w Let h = 0.075 + -1.075. Suppose 0*l - 3*s + 3 = 5*l, 1 = 2*l + s. What is the closest to h in 1/4, -1, l? -1 Let j = 4.8 + -4.3. Let w = 4.5 - 0.5. Let k = 1/98 - -47/196. What is the closest to k in j, w, 3? j Let r = 35 - 37. Let n be 0/1 + 0/(-1). Suppose k = -n*k. Which is the nearest to 4? (a) k (b) r (c) -4 a Let f = 23.24 - 23.54. Which is the closest to 56? (a) -1/6 (b) f (c) -0.2 a Let j(f) = -14*f + 28. Let z be j(2). Suppose -3*m + 3*h + 30 = 0, -3*m + h + 26 = -h. Suppose -3*x - 15 = -m. Which is the nearest to z? (a) x (b) 0.3 (c) 1 b Suppose -3*n - 106 = -118. Which is the nearest to -1? (a) -1/2 (b) n (c) -31 a Let r = -57.952 - -58. Let m = -3.048 + r. Which is the closest to 0.1? (a) -0.3 (b) 0.4 (c) m b Let u = -0.43 - -0.19. Let b = -22.76 + u. Let x = 22 + b. What is the nearest to 1 in -0.3, x, 0? 0 Suppose -n - 8 = 3*v, -7*v = -5*v + 6. What is the nearest to n in -0.2, -2, -7, -4? -0.2 Let w = -48.5 + 43. Let g = w + 5. Which is the closest to 10? (a) g (b) -1 (c) 0.5 c Let r(s) = -s**2 - 6*s - 4 + 2*s**2 - 4*s. Let w be r(10). Let o = -6.6 + 6.6. Which is the closest to -0.4? (a) -0.1 (b) o (c) w a Let t = 161/780 - 1/156. Which is the closest to 3? (a) 0 (b) 1 (c) t b Let x = -0.061 - 35.939. Let o = x + 35.7. Which is the nearest to 0? (a) -1 (b) o (c) 0 c Let x = 0.1333 - 0.1333. Let n = 115 + -803/7. Which is the closest to x? (a) 0.3 (b) 1 (c) n c Let t = -39 + 27. Let j be (3/t)/(44/16). Let r = j - -15/44. Which is the closest to r? (a) 1 (b) 0.07 (c) -0.3 b Let y = 144 - 130. Which is the closest to -1/2? (a) -4 (b) y (c) -0.5 c Let u = 11 + -12. Let l = -6.4 - -6.7. Which is the closest to l? (a) 2/7 (b) 2/11 (c) u a Let v = -181 - -177. Which is the closest to 3? (a) 0.4 (b) 0.3 (c) 0 (d) v a Let s be (-4)/(-8)*(-4)/(-10). Let a = 20 + -13. Let z be (1*2)/(a - 4). What is the closest to z in s, 3, 0.5? 0.5 Let v be 4/10*10/8. Suppose 0*n - 4*n = -4. Which is the nearest to 0? (a) n (b) v (c) -3 b Let z be -1*(-10)/6 + -2. Suppose 4*d = -4*d + 32. What is the nearest to z in -0.2, 5, d? -0.2 Let p = 9787/8 + -1223. Which is the closest to -1/4? (a) p (b) 3 (c) -4 a Let k = -7.7 + 8. Let h = -24 + 29. Which is the nearest to 2/3? (a) h (b) -8/5 (c) k c Suppose -3*a + 8 = -1, -4*a + 24 = -4*m. What is the closest to 0 in m, 0.5, 4, -6/7? 0.5 Let m be (2 + (0 - 0))/(-1). Suppose 30*n - 5*v - 5 = 33*n, 5 = -n - 5*v. What is the nearest to 0.1 in n, m, -0.3? n Let n = -44 + 44. Which is the closest to -5? (a) 3/8 (b) n (c) 1 b Let d = 29/69 + -2/23. Let p = 0.68 - 1.68. What is the nearest to d in -3, 1/5, p? 1/5 Let b = -0.119 - -0.219. What is the nearest to -4/7 in b, 3, -0.2? -0.2 Let a = -0.02 - -4.02. Let p = 1/24 - 17/24. Let r = -2.42 - -2.52. What is the nearest to r in a, 2, p? p Let n = 5.3 + -5. Let q = -0.4 + n. Let k = q + -0.4. What is the nearest to -1 in k, 0.5, -5? k Let l = -10.82 - -11.12. Let r = 1 - 1. What is the nearest to r in 5, -1, l? l Let z = 1349.7 - 1350. Which is the closest to -0.1? (a) -5/34 (b) -3 (c) z a Let s = 4.1 + -0.1. Suppose 5*x - 3*x - 15 = 3*n, 2*n = -x - 10. Suppose -4*i - 3*t + 13 = x, 4*t - 5*t - 5 = -i. What is the nearest to i in s, 1/4, 0.1? s Let f = 400 + -392. What is the closest to 1 in -15, -0.3, f? -0.3 Let h = -1.01 - -0.61. Suppose 3 = -g + 2. Let s = 571/1974 - 1/282. What is the nearest to g in 2, s, h? h Let g = -33.65 + 0.65. Let w = -32.7 - g. What is the closest to 1 in 0.8, 1/5, w? 0.8 Let g = -255 - -1279/5. Let f be ((-285)/54 - -2) + 6/2. Let u = -7/18 + f. Which is the nearest to 3? (a) u (b) g (c) -0.2 b Let y = 277/1206 - 1/134. Which is the nearest to y? (a) 0.08 (b) -2 (c) 2/5 a Let l = -12 + 12. Let u = 0.21 + -0.01. Which is the closest to l? (a) 5 (b) u (c) 3 b Let n = 0.321 + -0.221. What is the nearest to 8/11 in 1/8, 0.3, n? 0.3 Let j = -44.3 - -42. Which is the nearest to -3? (a) j (b) 1 (c) 2 (d) -3 d Let q = -242 - -2664/11. Let t be (-304)/480 + 8/10. Let i = -0.2 + -0.3. Which is the closest to -3/4? (a) q (b) i (c) t b Let j = 1028 + -979.1. Let h = 49 - j. Let d = -0.04 + 0.44. Which is the closest to h? (a) 1/6 (b) 2/7 (c) d a Let l be (0 - 3 - -6) + 0. Let d be ((-20)/(-36) - 0) + 3. Let y = d - 26/9. Which is the nearest to 1? (a) -2 (b) y (c) l b Let o be ((-364)/(-35))/((-4)/(-30)). Let i be -2*(-1)/(-3) - (o + -78). Let q = 0.01 + 0.99. What is the nearest to q in 5, -3/4, i? i Let l = -27.4 - -27.27. Which is the nearest to l? (a) -6 (b) 0.3 (c) 0 (d) 5 c Let v = 4 - 2. Let f = -8.67 + 8.27. What is the closest to -2/5 in f, v, 4? f Let h = 32 + -30. Let n = -13.4 + 14.4. What is the nearest to n in h, -5, 0.5? 0.5 Let v = -0.12 - -0.1. Let i = 35.323 + -34.323. Which is the nearest to 1? (a) i (b) v (c) 3 a Let n = 74.6 - 74.8. What is the nearest to 0 in n, 2, -2/17, -1? -2/17 Let k = 12524 - 62616/5. Let x = 0.3 - 0.6. Which is the nearest to 0? (a) 2 (b) k (c) x c Let j be (-3)/18 + (-2)/12. Let z = -0.8 - -1.1. Which is the nearest to 0? (a) 0.14 (b) j (c) z a Let g = -88.8 - -89. Suppose 0 = -6*t + 22 + 14. Which is the closest to 1? (a) g (b) -1/9 (c) t a Suppose 5*z + 3*j - 397 = 0, 3*z - 2*j - 124 - 99 = 0. Let i be -4 - -2 - z/(-28). Let d = 1.4 - -3.6. What is the closest to -2 in d, i, -3? -3 Let h = -57/545 - -1/218. Which is the nearest to -1? (a) h (b) -1 (c) -0.5 b Let s = 0.09 - -0.01. Let l = 145.16 + -145.1. Which is the nearest to l? (a) s (b) -2/7 (c) 3 a Let j = -4/29 - -86/203. Let w = 15 - 13.5. Let g = -2.5 + w. Which is the closest to g? (a) -0.2 (b) -0.3 (c) j b Let q = 0.4 - 0.2. Let z = 925/6 - 309/2. What is the closest to z in -2, -3/7, q? -3/7 Let n = -2/517 - -6727/1551. Let j = -14/3 + n. What is the closest to -2 in j, 1/3, 0? j Let v = -103 - -105. Which is the closest to -1? (a) -0.04 (b) v (c) 2/7 a Let v = 49 - 48.54. Let u = -0.06 + v. What is the closest to -1 in -0.3, u, -0.06? -0.3 Let f(o) = 2*o - 1. Let v be f(-3). Let j = 4 + v. Let m be 6/27 - (-15)/(-27). What is the closest to 0 in j, m, 0? 0 Let n(g) = g**2 - 4*g - 18. Let h be n(-3). Let r = 378 - 382.11. Let s = -0.11 - r. Which is the closest to 0? (a) -0.1 (b) h (c) s a Suppose 20*t - 18*t = 0. Let i = -19 - -18.7. Which is the closest to -2/7? (a) i (b) -4 (c) t a Let x be ((-5)/(25/6))/(-2). Let y = -3519.1 - -3519. What is the nearest to -0.1 in x, y, 0? y Suppose -3*k - k + 404 = 0. What is the closest to -2/3 in 0, 3/2, k? 0 Let n = -2389/3 - -841. Let w = n - 45. Which is the closest to w? (a) 2/9 (b) -1 (c) 1/5 c Suppose -2869*b + 3 = -2872*b. What is the nearest to b in 4, -5, -7, -2? -2 Let a be (3/3 + -2)/(-1). Let w = 0.023 - 0.323. What is the closest to 2 in 1/5, a, w? a Let t = 1.1 + 38.9. Let d = 40.3 - t. Let s = -0.2 - -0.1. Which is the closest to s? (a) -4 (b) -1 (c) d c Let v = 1672/5 - 334. What is the closest to v in -3/7, -3, 8? -3/7 Let i be ((-3)/(-117))/((-2)/(-12)). Which is the nearest to -1/3? (a) i (b) 0.11 (c) 0 c Let p = -4 - -1. Let g = 187 - 185. What is the closest to p in g, -1/4, 0.3? -1/4 Le
{ "pile_set_name": "DM Mathematics" }
.05 - 0.25. Let r = g + -0.7. Let h be ((-8)/(-3))/4 - 0. Which is the second biggest value? (a) -3 (b) r (c) h b Let r = -2.4 - -2. Let x = -8 + 8. Which is the biggest value? (a) 4/9 (b) r (c) x a Let y be 5 + 43/16*(12 - 14). Which is the second smallest value? (a) -28 (b) y (c) 5 b Let r = -0.8 - 0.2. Let x be ((-527)/124)/(1/2). Let o = x + 49/6. Which is the third biggest value? (a) -3 (b) o (c) r a Let k = -598 - -618. What is the third biggest value in 3, 0.06, k, 0.4? 0.4 Let y = -452 - -400. What is the third smallest value in 0.4, -3, y? 0.4 Let t = -18.47 - -14.47. Let k be ((-3)/((-3)/(-2)))/1. Which is the third smallest value? (a) k (b) 4/5 (c) t b Suppose -y + 4 = -2*n + 19, -4*y = 3*n - 28. Let d be (-1 - -6)*n/48. Let k = -1.986 - 0.014. Which is the smallest value? (a) k (b) d (c) 4 a Let j = -5 + 4.7. Let p = 13.6 + -8.6. What is the second biggest value in -4, p, j, 2/3? 2/3 Let l = -35 - -12. Let z = l + 18. Which is the second biggest value? (a) 1 (b) 0.3 (c) z b Let x = 559 + -567. Which is the third smallest value? (a) -0.3 (b) x (c) 0.5 (d) 9 c Let n = 0.2678 - -0.0322. Which is the second smallest value? (a) n (b) -0.4 (c) 4/9 (d) 0 d Let h be (-44)/(-56) - (27/6 - 4). Let t be ((-2)/4)/((-5)/2). Which is the second smallest value? (a) h (b) -2/11 (c) t c Let f = -0.3 - 0.1. Let n be ((-8)/(-36))/(40/90). Which is the third biggest value? (a) 10 (b) f (c) n b Let m = -73 + 239. Let u = 177.3 - m. Let b = u - 11. What is the third biggest value in b, 2/5, -3/8? -3/8 Let q(k) = -k**2 - 18. Let u be q(0). Let x be u/(-4)*1/(-3). Which is the fourth biggest value? (a) 2 (b) -4/9 (c) x (d) 4/5 c Let q = 19/22 - 4/11. Suppose 0 = 8*y + 16 + 16. Let k be 3 + 2/(-3)*-3. Which is the second smallest value? (a) y (b) q (c) k b Let c be 19/(-8) - (4 - 6). Let h = -45 + 37. Let v be 3/((-180)/34) + h/(-20). What is the biggest value in v, 0.1, c? 0.1 Let d = -0.312 + 2.682. Let r = d + -0.37. Let p = -0.1 - -0.2. Which is the second biggest value? (a) -3/4 (b) p (c) r b Let z(n) = 8*n - 1. Let i be z(-1). Let p be (-6)/(-9)*i/(-6). Which is the second smallest value? (a) -5 (b) 2 (c) p c Let d(j) = -j - 2. Let m be d(2). Let g = -268/19 + 53370/3781. Let l = 408/995 - g. What is the second biggest value in m, l, -1/4? -1/4 Let p = 18 - 64. Let h = 0.7816 + -1.0816. Which is the third biggest value? (a) p (b) 1 (c) h a Let w = 122.12 + -128. Let h = -0.12 + w. Let u = 5.17 - 0.17. What is the second biggest value in u, -1, h? -1 Let s = -8.2 - -6.2. What is the third smallest value in -998, -3, s? s Suppose -5*n = 3*q, 0*q + 5*q + n = 0. Let r be (6/(-4) + 2)*4. Suppose 2*s + r = -2. Which is the third biggest value? (a) q (b) s (c) 3/5 b Let d = 0.1 + -0.8. Let x = 2811 + -2810. What is the third biggest value in -0.1, d, x? d Let i = 32/3 + -10. Let r = -23.7 - -24. What is the second biggest value in i, r, -2/7? r Let s be 228/(-10)*-30*8/(-72). Which is the third smallest value? (a) s (b) 2/11 (c) -3 b Let w be 2 - 4/2 - 33. Let q be (-1)/(-3) + w/18. Let a = -786 + 791. What is the biggest value in a, -1, q? a Suppose -2*z = -h - 4*z - 2, 2*h + z = 5. Suppose 6*x - 90 = x. Let i be (-2)/(-3*4/x). Which is the second biggest value? (a) h (b) 0 (c) i c Let y = -0.6 + 0.3. Let j be (-44)/120 + ((-222)/(-36) - 6). What is the fourth smallest value in j, -3, y, 0.5? 0.5 Let m = 3 - 4. Let t = -89 + 104. What is the biggest value in t, 2/3, m? t Let q be (-18)/(-21) + (-357)/245. Which is the fourth biggest value? (a) -0.3 (b) 5 (c) -1 (d) q c Let t = 0.82 - 0.02. Let v = 4 + 1. Suppose 4 = 4*a - 4*k, a + v = 3*a - 5*k. What is the second biggest value in a, t, -0.4? a Let r = 1.7 - 2. Let c = 2.71 + -2.31. What is the third smallest value in 1, c, r? 1 Let w = 107/2 + -51. Let s = 90.9 - 87.9. What is the third biggest value in -5, w, s? -5 Let t(h) = h + 12. Let o be t(-11). What is the third biggest value in 0, o, -0.3, 0.1? 0 Suppose -4*u + 3 = -5*u. Suppose -3*m + 2*v - 10 = 3, 2*v - 11 = 5*m. Which is the second smallest value? (a) 6/5 (b) 3 (c) m (d) u c Let m = 22 + -13. Let y be (-6 + m)*(-2 + 1). Which is the second biggest value? (a) -1/3 (b) y (c) -0.3 a Let i = 112/3 - 227/6. Which is the second biggest value? (a) -2/41 (b) -4 (c) i c Let m = 45 + -45.23. Let d = m + 0.53. Which is the third biggest value? (a) 3/2 (b) d (c) -2/3 c Let w = 148.5 - 148. What is the third smallest value in 7, w, -0.3, -5? w Let p be -10 + 5 + (-22)/(-4). Let m = -41 - -285/7. Which is the smallest value? (a) m (b) p (c) -5 c Let n = -2155 - -2155.2. Which is the smallest value? (a) 5 (b) n (c) 48 b Let l be (126/70)/((-6)/(-10)). What is the third biggest value in l, -32/7, -0.5? -32/7 Let o = 373 - 365. What is the third smallest value in -0.4, -2/13, o, 1? 1 Let u = -589 + 232. Let p = 351.82 + u. Let j = 0.18 + p. Which is the smallest value? (a) -0.1 (b) -1/4 (c) j c Let t be (-82)/(-1435) - 1/(-7). What is the second biggest value in -2, t, 2/7, 0.01? t Let v = -13.04 + 13.54. Let y = -3 + 2. Which is the third smallest value? (a) -3 (b) y (c) v (d) 1 c Let x be (-20)/(-6)*2/(-5). Let p = 27.6 + 112.4. Let w = -135 + p. What is the third biggest value in w, x, 3? x Let l = 13.4 - 3.4. Let n = -20 + l. Which is the third smallest value? (a) 0 (b) n (c) 5 c Let u = -52.34 + 57.2. Let m = u + 0.14. Let f = 3 + -2.8. What is the second biggest value in -2/19, f, m? f Suppose -7*t + 2*t = -5. Let q = t - 5/3. Let d = 2.2 + -2. What is the second biggest value in d, -4, q? q Let m = -279 + 252. What is the biggest value in 5, -0.3, m? 5 Let x = -14.4 + 11.4. What is the second smallest value in 1/12, -2/3, 0.1, x? -2/3 Let d = 220782/965 - 1144/5. What is the third smallest value in 1/11, d, -0.5? 1/11 Let d = 49 - 113. Let v = 64.4 + d. What is the fourth biggest value in -4, -0.3, 0, v? -4 Let s = -158 + 155. Which is the smallest value? (a) -3/8 (b) s (c) -2/3 b Let h be (0 - -1) + 49*(-6)/(-28). Which is the fourth smallest value? (a) 4/5 (b) 0 (c) -2 (d) h d Let r = 10.92 - 6. Let h = 0.08 + r. Let s = h - 7. What is the second smallest value in s, -3, 0.3? s Let z = -11 + 6. Let p = 1.9 + 0.1. Which is the biggest value? (a) p (b) z (c) 1/5 a Let g = 0 + 0. Suppose 3*s + 3*y = 49 + 11, -3*s = -y - 52. Let t = s - 73/4. What is the biggest value in -5, t, g? g Let l be (-5)/((-4025)/(-540)) - (1 + -2). Let s = l - 1/23. What is the biggest value in s, -3, 0.5? 0.5 Let x = 21 - 17. Suppose x*u = -c + 15, 12 = 2*u + 2*u + 4*c. Suppose -5*p + u*l - l = -25, -5*l = 0. What is the third smallest value in p, 8, 3/7? 8 Suppose 30*w = 22*w + 128. Suppose -5*z + 15 - 5 = 0. Suppose 2*x - o = z*o - w, -o = x - 2. What is the smallest value in x, -6, 0.5? -6 Let v(t) = 8*t**2 + 12*t - 11. Let j be v(-5). Let s = j + -124. What is the fourth smallest value in -0.4, -1/6, 0, s? s Let c = -0.37 + 0.07. Let y be (4/(-21))/((-520)/(-40980)). Let a = y + 104/7. What is the second smallest value in -0.03, c, a? a Suppose r + 2 = 0, -t - 202 = 2*t - 4*r. Let j be t/(-8) + 16/64. Let w = -92/3 - -30. What is the second smallest value in w, j, 4? 4 Let n = -17 + 17.5. Which is the third biggest value? (a) 5/2 (b) n (c) 0.11 c Suppose 21*o + 26*o + 611 = 0. What is the third biggest value in 2/5, -5, o? o Let m = 90.1 + -86.1. What is the third biggest value in -25, -5, 0.4, m? -5 Let s = 116/205 - 15/41. Which is the second biggest value? (a) -4 (b) s (c) 1 (d) -232 b Let m = -266 - -264. Which is the third biggest value? (a) 0.4 (b) m (c) 111 b Let l(m) = 2*m**2 + 6*m + 5. Let t be l(-3). Suppose 5*d + t*p = -30, -4 = p - 0*p. Let q = -13/5 + 44/15. What is the second smallest value in q, 0.1, d? 0.1 Let i be 168/70 + (-4)/10. Let v be 2*i/42*1. Which is the smallest value? (a) v (b) -3 (c) -1/3 b Let x be 171/(-1596)*21/(-9). Let h = 7 + -6.7. What is the second smallest value in 2/19, h, x? x Let y = 2/275 + -564/1925. Let q = -1/35 + -29/210. Which is the second biggest value? (a) 0.4 (b) y (c) q (d) 2 a Let o = -0.3 + -0.7. Let l = 4.1 - 4. Let s = -0.3 + -0.1. Which is the third smallest value? (a) l (b) o (c) s a Let m =
{ "pile_set_name": "DM Mathematics" }
culate the remainder when y is divided by ((-26)/(-4) + -1)*2. 10 Suppose -3*f + 5*d + 95 = 0, 0*f = f + 3*d - 41. Suppose 4*j - 2*o = 50, 5*j - f = 3*o + 26. Calculate the remainder when 40 is divided by j. 12 Let i = -1 + -1. What is the remainder when 8 is divided by i/(-6) + (-24)/(-9)? 2 Let n = -17 - -30. Let d be (-2)/1 - (2 + -8). Suppose 3*i - 97 = -d*j + 61, 0 = 2*j + 5*i - 86. Calculate the remainder when j is divided by n. 12 Let d be (0 + 2)*(-160)/(-4). Let p = -46 + d. What is the remainder when p is divided by 12? 10 Suppose 45 = -5*g - 0*g. Calculate the remainder when 26 is divided by (0 - (-21)/g)*-3. 5 Let a be 3 + 0*(-1)/2. Suppose -3*s = -3 - a. What is the remainder when s is divided by 1? 0 Let j(s) = 2*s**2 + s - 4. Let r(q) = q**2 + 11*q + 7. Let n be r(-10). Calculate the remainder when j(n) is divided by 4. 3 Let i(g) = 9*g - 13*g + 2 + g**2 + 10*g. Let w be i(-6). Suppose -3 = h - w*j, 3*h - 3*j = 2 - 5. What is the remainder when h is divided by 1? 0 Let r = 14 - -12. Let o = -66 + 117. Calculate the remainder when o is divided by r. 25 Let l = 24 + -56. Let o = 46 + l. What is the remainder when o is divided by (-2)/6 + 32/6? 4 Suppose -3 = 3*z - 12. Let o = 1 - z. Let c = 3 - o. What is the remainder when 13 is divided by c? 3 Suppose k + 3*k - 40 = 0. Let d = k + -2. Let j = 14 - d. Calculate the remainder when 16 is divided by j. 4 Let j(d) = d**3 - 4*d**2 - 3*d + 5. Let o be j(4). Let c = o - -28. Calculate the remainder when c is divided by 11. 10 Suppose 3*z - 3 = 6. Suppose 0 = z*v - s - 34, s = 2*v - 0*s - 23. What is the remainder when 21 is divided by v? 10 Suppose 0*t + 2*t = 4. Suppose 0 = t*z - 0*z - 4. Let y = 2 - 0. Calculate the remainder when y is divided by z. 0 What is the remainder when (9/6)/((3/(-6))/(-1)) is divided by 3? 0 Let y(f) = -7*f - 33. Calculate the remainder when y(-13) is divided by 15. 13 Let p(h) = 2*h**2 - 5*h - 4. Calculate the remainder when p(5) is divided by 12. 9 Suppose -4*p + 143 = c, 4*p - 143 = c + 2. Calculate the remainder when 107 is divided by p. 35 Suppose 5*w - 2*q + 6*q = 227, 239 = 5*w - 2*q. What is the remainder when 93 is divided by w? 46 Let p(a) = -2*a**2 - 3*a - 3. Let r be p(-2). Let o(u) = 5 - u**3 - 6*u**2 - 6*u + 0*u**2 + 0*u**2. Calculate the remainder when 18 is divided by o(r). 8 Suppose 4*n + 5*a = 229, -n + 6*n - 275 = -4*a. What is the remainder when n is divided by (-2 + 15)/(1/1)? 12 Suppose m - 21 = -2*k + 4*m, 2*k - 16 = 2*m. Suppose k*y + 1 = 2*d - 28, 0 = -4*y + 20. Calculate the remainder when d is divided by 8. 6 Let g(j) = j + 11. Let z be g(0). Let u = z + -7. Suppose 0 = c + 5*w - 5 - 3, -u*c + 49 = 3*w. Calculate the remainder when 37 is divided by c. 11 Suppose -8*k + 142 = -130. Calculate the remainder when 163 is divided by k. 27 Suppose 3*t - 11 = -u, 3*t = -3*u + 4*t + 73. Let v = 6 + u. Suppose -l + 30 = 2*l. Calculate the remainder when v is divided by l. 9 Let x(v) = -v**2 + 5*v + 1. Suppose -9*q - 12 = -10*q. What is the remainder when q is divided by x(3)? 5 Let w be 4/3*3/(-2). Let q be w/4 + (-5)/(-2). Calculate the remainder when (-3 + q)/((-1)/7) is divided by 3. 1 Suppose 4*w - 8 = 2*h, w + 4*h + 7 = -0*w. Let q(b) = -b**3 + 9*b**2 - 5*b - 2. What is the remainder when q(7) is divided by -21*(2 - 3)/w? 19 Let y(x) = 40*x**3 - x**2 - x + 1. Let i be (-219)/(-13) + (-14)/(-91). Suppose -53 = -5*l + i. Calculate the remainder when y(1) is divided by l. 11 Let x(n) = 22*n**2 - 4*n - 3. What is the remainder when x(-2) is divided by 24? 21 Suppose w - 180 = 4*o, 0 = -5*w - 6*o + 3*o + 854. Suppose 2 = 3*b - w. Suppose -233 = -5*p - b. What is the remainder when p is divided by 12? 11 Let n(t) = 12*t**3 - t + 1. Let w = 2 - 0. Let o be w*((-6)/(-4) - 1). Calculate the remainder when 22 is divided by n(o). 10 Let u = -46 + 104. Let x(g) = -g**2 - 12*g - 12. What is the remainder when u is divided by x(-8)? 18 Let u(t) = 8*t**2. Let l = 1 - 4. Calculate the remainder when u(2) is divided by (-2 - 0 - l) + 10. 10 Suppose -k = -0 - 9. Suppose 0 = -2*x - 3*x + 220. What is the remainder when k is divided by 1/(-2) + x/8? 4 Let h(n) = 2*n**3 - n**2 + 4*n - 5. Suppose -4*w = -4*d + 180, -152 - 16 = -4*d - 2*w. Let i = 86 - d. What is the remainder when i is divided by h(2)? 13 Suppose h + 25 = 4*k, -k - 5*h - 18 = 2. Suppose 6*d - d - 20 = 0. Suppose -x + p - k*p = 4, 2*p = -d. What is the remainder when 11 is divided by x? 3 Suppose -3*g + 40 - 4 = 0. Calculate the remainder when 35 is divided by g. 11 Let l = 1 + 7. Calculate the remainder when 15 is divided by l. 7 Suppose -5*z + 5*c + 110 = 0, -68 = -10*z + 7*z + 5*c. What is the remainder when z is divided by 5? 1 Let n be (1/(-1))/(2/(-4)). Let o(u) = u**2 - 1 + 3*u + n + 0. Calculate the remainder when o(4) is divided by 10. 9 Suppose -15 = -3*o + 60. Suppose 20 = 2*a + 2*i, a - 64 = -3*a + 4*i. What is the remainder when o is divided by a? 12 Let z be (0 - 2) + -1 + -33. Let x = -8 - z. Let g = -6 + 16. Calculate the remainder when x is divided by g. 8 Let c(f) = f**3 - 12*f**2 + 14*f + 10. Let x be c(10). Let y = x - -124. Calculate the remainder when y is divided by 25. 24 Suppose 0*s = -3*s. Suppose -4*i + 74 + 66 = s. Calculate the remainder when i is divided by 12. 11 Let r = 13 + 6. Suppose 3*i + 23 + 18 = 4*c, 2*c - i = r. Calculate the remainder when 12 is divided by c. 4 Suppose -2*p + 7*p = 55. What is the remainder when p is divided by 3? 2 Let v = 12 + -19. Let a = v - -18. Suppose 2*g - 4*g + 8 = 0. What is the remainder when a is divided by g? 3 Let w = 41 - 33. Calculate the remainder when 37 is divided by w. 5 Let p = -14 - -33. Let q = p + -8. Calculate the remainder when q is divided by 6. 5 Suppose -f - 2*v + 1 = 12, f = -3*v - 14. Let w = 13 + f. Calculate the remainder when 15 is divided by w. 7 Let m(i) = 2*i**2 - 5*i - 5. Calculate the remainder when 23 is divided by m(-2). 10 Suppose 3*v + v = 0, 4*g + 4*v - 60 = 0. Calculate the remainder when g is divided by 9. 6 Suppose 0 = -4*a + a + 9, 0 = 2*r - 4*a - 62. Let k = r - 5. Calculate the remainder when k is divided by 11. 10 What is the remainder when 49 is divided by 168/9 - -4*(-2)/12? 13 Suppose 3*y = -2*q + 20, -4*y = -5*q + 60 + 36. What is the remainder when 62 is divided by q? 14 Let d be 16/3 + 8/12. What is the remainder when 20 is divided by d/(-9)*(-21)/2? 6 Let y = 39 - 25. What is the remainder when (-848)/(-48)*(2 - (0 - 1)) is divided by y? 11 Let l(v) = -4*v**2 + 0*v**2 - 2 + 5*v**2 - 3. What is the remainder when 42 is divided by l(-4)? 9 Let v = -1 + 11. Suppose 5*b - 3*b - v = 0. What is the remainder when 17 is divided by b? 2 Let z(i) = -i**2 + 2. Let s(d) = d**3 + 2*d**2 - 5*d - 3. Calculate the remainder when s(-3) is divided by z(0). 1 Suppose u = 3*u - 5*y - 60, -5*u - y = -150. Suppose -80 - u = -2*g. Let z(o) = 4*o - 1. Calculate the remainder when g is divided by z(5). 17 Suppose 2*s - 1 = 9. Suppose -5*f = s - 75. What is the remainder when 54 is divided by f? 12 Let a = -165 + 277. Let i = a + -43. Calculate the remainder when i is divided by 24. 21 Let t(u) = -142*u. Let d be t(-7). Calculate the remainder when d/30 + 6/(-45) is divided by 12. 9 Let i(g) = 6*g - 13. What is the remainder when i(9) is divided by 22? 19 Let g be 5*((-19)/(-5) - -2). What is the remainder when 1/1*(g + -2) is divided by 7? 6 Let t = -36 + 38. Calculate the remainder when t is divided by 2. 0 Let k(h) be the first derivative of h**2/2 + 41*h + 1. What is the remainder when k(0) is divided by 14? 13 Let d(w) = 5*w + 5. Let q be d(-2). What is the remainder when 20 + (-2 - q - 2) is divided by 8? 5 Suppose 3*l - b + 5*b - 169 = 0, b = 5*l - 297. Let c = 83 - l. Calculate the remainder when c is divided by 9. 6 Let k = -101 - -47. Let m = k + 77. Calculate the remainder when 68 is divided by m. 22 Calculate the remainder when ((-420)/45)/((-2)/3) is divided by 6. 2 Let z be 10*1*3/6. Let f(a) = a**3 - 5*a**2 + 3*a - 6. Let u be f(z). Calculate the remainder when 146/u + (-4)/18 is divided by 9. 7 Suppose 0 = -3*s + 58 + 146. Let k be 180/(-24)*(-56)/(-10). Let b = -19 - k. Calculate the remainder when s is divided by b. 22 Let s(b) = 12*b - 7. Calculate the remainder when s(9) is divid
{ "pile_set_name": "DM Mathematics" }
*q**2 + 335*d**2*q - d*q**5 - d*q**3 wrt q. 1632*d**2*q - 60*d*q**2 - 6*d What is the derivative of -264*m**2*t**3 + 4*m**2*t**2 + 4260*t**3 wrt m? -528*m*t**3 + 8*m*t**2 Find the second derivative of 6*c**2*r + 12*c**2 - 441*c*r wrt c. 12*r + 24 Find the second derivative of -5*h**3*z + 5*h**3 + h*z + 2*h + 43 wrt h. -30*h*z + 30*h Find the third derivative of -698*m**5*q + 4*m**3*q**3 + m**2*q**3 + m**2 - 36*m wrt m. -41880*m**2*q + 24*q**3 Find the third derivative of -71*p*z**3 - 3*p*z**2 + 2*p*z + 4*p - 3*z**3 wrt z. -426*p - 18 What is the derivative of -5116*u**3 + 14638 wrt u? -15348*u**2 Find the first derivative of v**3*z**2 + 438*v**3*z + 2*v**3 - 358*v**2 wrt z. 2*v**3*z + 438*v**3 Find the first derivative of -305*x**2 + 635 wrt x. -610*x Find the second derivative of 19096*l**2 + 6*l - 1972 wrt l. 38192 What is the derivative of r**3*t - 32*r**3 - 17*t**2 - 1 wrt t? r**3 - 34*t Find the third derivative of -3*t**4 - 20*t**3 - 1206*t**2 wrt t. -72*t - 120 Find the first derivative of 18*h**3*o**3 + 3*h*o**3 + 3*o**3 - 2*o wrt h. 54*h**2*o**3 + 3*o**3 Differentiate -2*b*d**2 - b*l*s**2 - 7*b*s**2 - 10*d**3*l - 2*d**3*s**2 + 2*d**3 + d*l wrt s. -2*b*l*s - 14*b*s - 4*d**3*s What is the third derivative of -1030*c**6 + 19*c**2 - 6 wrt c? -123600*c**3 Find the first derivative of -941*d**4 + 579. -3764*d**3 Find the second derivative of -u**4 - 130*u**2 + 2*u - 51. -12*u**2 - 260 Find the second derivative of 59*d**2*i + 5*d**2 + 478*d*i wrt d. 118*i + 10 Find the third derivative of -265*b**3 - 112*b**2 + 2*b. -1590 What is the derivative of -m**2*s - 2*m**2 - m*s - 141*m - 4917*s wrt m? -2*m*s - 4*m - s - 141 Differentiate b**2*t*u*w - 4*b**2*t + 265*b*t*u*w - 6*b*t*u + 2*b*t*w - 3*t*u - 2 wrt w. b**2*t*u + 265*b*t*u + 2*b*t What is the third derivative of 13*f**2*n**2*p**2 + f**2*n**2 - 57*f**2*n*p**3 + 2*f**2*n*p - 9*f*n**3*p**3 - 2*f*n**3 wrt p? -342*f**2*n - 54*f*n**3 What is the third derivative of -67*h**4 + 3*h**2 - 2? -1608*h Differentiate c**3*g*s**2 + 70*c**2*s**3 + 44*g*s**3 + s**3 wrt c. 3*c**2*g*s**2 + 140*c*s**3 Find the third derivative of -2023*d**3*j**2 + 4*d**2*j - 281*d*j**2 wrt d. -12138*j**2 Find the third derivative of 31*h**3*n**3*r - 4*h**3*n**2*r**3 - 3*h**2*r + 6*h*n**2*r**3 - 2*h*r + 2*n**3*r wrt h. 186*n**3*r - 24*n**2*r**3 What is the first derivative of -134*a**4 - 8*a**2 - 1811 wrt a? -536*a**3 - 16*a What is the derivative of -1668*f*k + 12*k wrt f? -1668*k Differentiate 104*p + 204. 104 Find the third derivative of -12*j**6 - j**5*p + 2*j**3 + 86*j**2 + 2*j*p wrt j. -1440*j**3 - 60*j**2*p + 12 What is the first derivative of 116*k*w**2 + w**2 + 63*w wrt k? 116*w**2 Find the second derivative of -7063*n**2 + 2*n + 11024. -14126 What is the second derivative of 1975*o**3*w**2 - 2*o**3 - 465*o**2*w - 2*o**2 wrt w? 3950*o**3 What is the second derivative of -8084*o**4 - 6377*o? -97008*o**2 What is the derivative of 161*o**2*p**3 - 29533*o**2 - 9*o*p**3 wrt p? 483*o**2*p**2 - 27*o*p**2 Find the second derivative of -117*n**2 + 67*n + 2. -234 What is the derivative of 877*t**2*v + 736*t**2 + 2*v**3 wrt v? 877*t**2 + 6*v**2 What is the derivative of 1556*f*i**2*o + 2880*f - i**3*o - i**3 wrt o? 1556*f*i**2 - i**3 What is the third derivative of 2*h**4*z - 392*h**3*z - 2*h**3 - 66*h**2*z - 5*z wrt h? 48*h*z - 2352*z - 12 Differentiate -3*i*k*v*z**3 + 775*i*k*z**2 + 847*k*v*z + 2*k*z**3 - 2*k wrt v. -3*i*k*z**3 + 847*k*z Differentiate -605*a**2*g + 17*a**2 - 12*a wrt g. -605*a**2 What is the third derivative of 5*v**3*z - 8*v**3 - 2*v**2 + 330*v*z wrt v? 30*z - 48 Differentiate -2141*l**2*p - 158*p + 6 with respect to l. -4282*l*p Find the second derivative of 6*l**3 - 59*l**2 + 3*l - 401 wrt l. 36*l - 118 What is the third derivative of -1774*i**3*m**4 - 7*i**3*m**2 - 79*i**3 wrt m? -42576*i**3*m What is the second derivative of 2*l**2*m**3 - 572*l**2 - 875*l*m**3 + 2*m**3 wrt l? 4*m**3 - 1144 Find the third derivative of -299*a**3 - 354*a**2 wrt a. -1794 What is the third derivative of 13578*f**5 - f**2 + 803*f + 2 wrt f? 814680*f**2 What is the second derivative of -1243*k*s**2 + 157*k*s + 1 wrt s? -2486*k What is the second derivative of -56*d**2*v - 2*d**2 + 11*d - 2*v + 2 wrt d? -112*v - 4 Differentiate -17*g**2*k + g**2*n + 6*g*k*n + 3*k*n**2 - 195*n**2 wrt k. -17*g**2 + 6*g*n + 3*n**2 Find the third derivative of 17628*f**3 + 3387*f**2 wrt f. 105768 What is the first derivative of -433*k**4*p + 43*p - 2 wrt k? -1732*k**3*p Find the second derivative of -c**5*d*r**3 + 33*c**5*d*r - 2*c*d*r - 6*c*d + 5*d*r**3 wrt c. -20*c**3*d*r**3 + 660*c**3*d*r Find the third derivative of 116*v**6 + 5*v**2 + 2. 13920*v**3 What is the derivative of 41*c**2*y**2 - c**2*y - c**2 - 647*y**2 wrt c? 82*c*y**2 - 2*c*y - 2*c Find the second derivative of m**2*p**2 + 5*m**2*p - 2*m**2*t**2 - 76*m*p**2*t**2 - 2*m*p*t - m*t**2 - 2*p**2 wrt p. 2*m**2 - 152*m*t**2 - 4 Differentiate k**3*x**2 - 28*k**3 - k*x**2 + 211*x**2 with respect to k. 3*k**2*x**2 - 84*k**2 - x**2 What is the third derivative of 22*f**2*i**4 - 13*f**2*i**2 - 7*i**6 + 5*i**2 + i wrt i? 528*f**2*i - 840*i**3 What is the second derivative of 8*a**2*b*n*s + 3*a**2*b + 13*a**2*n*s - 3*a**2*s - a*n - 7997*b*n*s + b*s wrt a? 16*b*n*s + 6*b + 26*n*s - 6*s Find the first derivative of 61*p**4 - 2*p**2 + 143*p - 8059 wrt p. 244*p**3 - 4*p + 143 Find the third derivative of 164*h*q**4 + 3*h*q**2*u - q**3*u - 76*q**2*u - 4*u wrt q. 3936*h*q - 6*u Differentiate -2*h*x**3*z + 16*h*x**3 + 1150*h*x**2*z**2 - h*x - 2*h with respect to z. -2*h*x**3 + 2300*h*x**2*z What is the first derivative of -13*n*r*x + 2*n*r - 13*n*x**2 - 12*n + 2*r*x**2 - 2*x**2 + 50 wrt x? -13*n*r - 26*n*x + 4*r*x - 4*x Find the third derivative of 55*u*w**3 - 2*u*w**2 + 6*u - w**3 - w**2 wrt w. 330*u - 6 What is the third derivative of g**4 - 311*g**3 + 67*g**2 + 5 wrt g? 24*g - 1866 Differentiate 215*u**4 + 181. 860*u**3 Find the second derivative of 79*a**3*v**2 + 10*a**3*v + 2*a**2 - 21*a*v**2 - 51*a*v - 2*v**2 wrt v. 158*a**3 - 42*a - 4 Differentiate -13922*o - 25854 wrt o. -13922 Find the third derivative of -9457*y**4 + 424*y**2 + 2*y wrt y. -226968*y What is the first derivative of 3*o**2 - 5*o - 214? 6*o - 5 What is the first derivative of 396*x**2 + 2*x - 497 wrt x? 792*x + 2 Find the third derivative of -4407*o**2*v**3 - 103*o**2 + 6*v**2 wrt v. -26442*o**2 What is the third derivative of -2*l**4*s**2 + 30*l**3*s + l**2*s**2 - 2*l**2 + l*s**2 wrt l? -48*l*s**2 + 180*s What is the second derivative of -78*g*i**4 + 11*g*i - 3*i**2 + 16*i - 2 wrt i? -936*g*i**2 - 6 Differentiate 12*v**2 + 22*v + 2809 wrt v. 24*v + 22 Differentiate 3*d*l*p**2 + 3*d*p**3 + 83*d*p - 2286*l*p - 2*p**3 with respect to d. 3*l*p**2 + 3*p**3 + 83*p Find the third derivative of 7*o**5 - 3*o**3 - 50*o**2 + 1 wrt o. 420*o**2 - 18 Differentiate 1170*c + 337. 1170 What is the first derivative of -b**3*m + b**3*s - 11*b**3 - b**2*m + 2*b**2 + 2*b*m*s + 155*s wrt s? b**3 + 2*b*m + 155 What is the derivative of -3*d**2*i + 20*d**2*k - 85*d*i*k + 128*d*k + 24*i*k wrt i? -3*d**2 - 85*d*k + 24*k What is the derivative of 79*b**3*i + 38*b**3 + 3*b wrt i? 79*b**3 Find the third derivative of 502*n**6 + 4*n**4 + 2*n**2 + n - 1254 wrt n. 60240*n**3 + 96*n What is the third derivative of 589*j**4 + 2257*j**2? 14136*j What is the second derivative of -741*f**2*k**2 + 152*f**2 - 8*f*k wrt k? -1482*f**2 Find the second derivative of -i*q**2*v**2 + 160*i*q**2 + 3*i*v - 2*q*v**2 + q + 3 wrt q. -2*i*v**2 + 320*i What is the third derivative of -33*p**3*s**2 + 3*p**3*w - p**2*s**2*w + 17*p**2*s*w + 2*p*s**2*w + 3*p wrt p? -198*s**2 + 18*w What is the third derivative of 2*c*d**3*n - c*d**2 + 3*c*d*n**2 - 12*c*n**2 - 168*d**3*n**2 wrt d? 12*c*n - 1008*n**2 What is the third derivative of -2364*r**3*t - 5*r**2 + 835*r*t wrt r? -14184*t What is the second derivative of 824*n**2*w**4 + 6*n**2 + 37*n*w - 2*w wrt w? 9888*n**2*w**2 Differentiate 53*m*p**2 - 155*m - 17*p with respect to p. 106*m*p - 17 Find the third derivative of -4*b**2*i*p*s**2 - 3*b**2*i*p - 15*b**2*p*s**2 + 3*b**2*s**3 - 27*b*i*p*s**3 + 3*b*i*p*s**2 - 4*i*s**3 wrt s. 18*b**2 - 162*b*i*p - 24*i Find the second derivative of -39*j*o*q**2 + j*o*q + 11*j*o - 2*j*q**2 - 2*q wrt q
{ "pile_set_name": "DM Mathematics" }
3 + 11*r**2 + 13*r + 35. Let p be n(-10). Let b(q) = 28*q + 0 + 3 - 3 + 5. Is b(p) prime? False Let d(b) = 26*b**2 + 5*b + 2. Suppose r + 1 = v + 13, 5*r - 3*v = 54. Is d(r) prime? True Let g = -62 - -61. Let p(u) = -3124*u + 2. Let a be p(g). Suppose 4*o + 4*b - a = 2*b, 0 = -5*o + 2*b + 3885. Is o composite? True Let p(b) = -b**3 + 22*b**2 - 55*b - 35. Let f be p(19). Let o(h) = 1281*h - 2. Is o(f) prime? False Let g be ((-6)/8 + 2)/(74/296). Suppose -g*m = -8 - 2, -104326 = -4*n - m. Is n prime? False Let o(t) be the first derivative of 15*t**3 + t**2 + 31*t - 86. Is o(-10) composite? True Suppose 3*r = 8*r - 2*p - 118, 0 = -5*r - 4*p + 124. Is 2970 - (r/(-4))/6 a composite number? False Let u(k) = 13*k - 42. Suppose 4*w - 9*w = -65. Is u(w) a prime number? True Suppose 0 = w + 2*t, 4*w - 4*t + 13 = 1. Is w/1*(1239672/(-16))/21 composite? True Suppose -5*o = 15 - 5. Let d be 1/(8/30) + o/(-8). Suppose 254 - 6426 = -d*m. Is m a prime number? True Suppose -2*m + 12 = -5*p, -7*m + 6 = -6*m - 4*p. Suppose -m*i - 1134 = -5244. Is i prime? False Let b(w) = 4398*w**2 + 22*w - 127. Is b(7) a prime number? False Let x(m) = 14*m + 4. Let l be x(2). Suppose 0 = -q - 2, -r + l + 31 = -4*q. Suppose 52*c = r*c - 795. Is c a composite number? True Let u = -4196 + 305215. Is u composite? True Let k = 32354 - -5907. Is k a prime number? True Let v(k) = -2*k - 10*k + 39*k**2 + 23*k + 17. Let t be v(-7). Suppose 5*g + 4*c + 82 = t, 0 = -5*g + c + 1764. Is g composite? False Suppose -3*t + 28012 = 5*c - 57466, -5*t + 142484 = -2*c. Suppose -19*x + 935841 = t. Is x prime? False Let x be 0*2/6 - (-14)/(-1). Let l(a) = -3*a**3 - 2*a**2 + 13*a - 19. Is l(x) prime? True Suppose 3*x + 21 = -0. Let h(w) = -5*w**3 + 10*w**2 + 19*w + 5. Is h(x) prime? False Let r(z) = -z**3 - z**3 - 722*z + 701*z - 12*z**2 - 31. Is r(-10) prime? False Let b(v) = -2384645*v**3 - 8*v**2 + 7*v + 7. Is b(-1) composite? True Suppose h + 5*k = 373, -h - k = h - 746. Suppose g + h - 1772 = 0. Is g a composite number? False Let k(z) = 2*z + 26. Let h be k(-7). Suppose 0 = 2*j - 0*j - h. Is 3500/j - 5/15 composite? True Is ((-612826)/228)/((-1)/6) prime? True Suppose 2*j = -a + 212521, -5*j = 2*a - 328498 - 202805. Is j a prime number? True Suppose 0 = 13*p + 143*p - 407284332. Is p prime? False Let f = -1460 + 2567. Let i = f - -542. Is i prime? False Let l = 11080 - 10553. Is l a prime number? False Let c = -4711 - -9313. Suppose -b - 1338 - 3249 = -2*p, 2*p - 4*b - c = 0. Is p composite? True Suppose 4*f = 3*i - 8229, 0 = -5*f + 4*i - i - 10284. Suppose 3*y + 3011 = -3*d - 1063, -y - 6774 = 5*d. Let o = d - f. Is o prime? True Suppose 8 = t + 6, 4*h - 767590 = -t. Is h a composite number? True Let f(y) = -y**3 + 13*y**2 + 14*y + 3. Let d be f(14). Suppose -5*v - 4*b - d = -8*v, -9 = 5*v - 2*b. Let m(k) = -38*k**3 + 3*k**2 + 5*k + 5. Is m(v) composite? True Let q(s) be the second derivative of s**6/720 + 191*s**5/120 + 5*s**4/3 - 25*s. Let z(u) be the third derivative of q(u). Is z(0) a composite number? False Let v = 54416 - 31947. Is v a composite number? False Suppose -49995 = -14*h + 71973. Suppose -a + 16285 = -h. Is a composite? True Suppose 4*k - 12186 = -2*u, 9*k - 6091 = 7*k + u. Let t = 7247 - k. Is t composite? False Let j = -23558 - -97201. Is j composite? False Let b = 12146 + -3489. Let t = 13918 - b. Is t prime? True Let b(h) = 137*h**2 - 44*h + 31. Is b(-12) composite? False Suppose -26*k = 7461 - 30055. Suppose k = 3*d + 2*y, -4*y = d - 57 - 216. Is d composite? False Let v = -103 + 103. Suppose 0 = -6*x - v*x + 246. Let d = 304 - x. Is d prime? True Let q(o) = 684*o**3 - 3*o**2 + 11*o - 111. Is q(7) composite? False Let k(x) = 136011*x**3 + 18*x**2 - 43*x + 23. Is k(1) prime? False Suppose -3*l - 4*g = -5*l - 4142, -4*l - 8244 = 2*g. Let f(o) = 993*o - 1. Let n be f(-1). Let c = n - l. Is c composite? False Let b(d) = -d**3 - 34*d**2 + 483*d - 133. Is b(-67) a prime number? False Let k(c) = -2*c**3 - 21*c**2 + 76*c + 12. Let w be k(10). Let a = 2341 - w. Is a composite? False Let j(m) = 10572*m - 749. Is j(6) prime? True Let o(c) = 4742*c**3 + 7*c**2 - c + 5. Is o(3) a composite number? False Let g(k) = -1398*k - 35. Let h(y) = -466*y - 11. Let i(v) = -6*g(v) + 17*h(v). Is i(6) a prime number? True Suppose -4*p = 4*j - 446564, -2*p = -14*j + 12*j - 223306. Is p a composite number? True Let p(t) = -13*t**3 - 10*t**2 + 58*t + 110. Is p(-13) a composite number? False Suppose 0 = q - 3*p, q + 2*p = -17 + 22. Suppose q*j = -2*c - 2*c + 487, 4*j + 3*c = 640. Is j a composite number? False Let o(a) = 418*a + 57. Let d be o(3). Let q = -410 + d. Is q prime? False Let x(d) = -195*d + 25 + 118*d - 107*d - 339*d. Is x(-6) composite? False Let l = 35297 - 14506. Is l prime? False Suppose -7*o + 60*o = 6699571. Is o a composite number? True Let o(d) = 5*d**2 + d + 3943. Let b = -248 - -248. Is o(b) a prime number? True Let n = -868 - -2898. Suppose z - 2*p - n = 2487, 3 = -p. Is z prime? False Let a(s) = 310*s**2 - 153*s**2 - 28 - 159*s**2 + 9*s - s**3. Is a(-15) a composite number? True Let r be (-1)/((-2)/42)*283. Suppose 8*f = 9*f + r. Let o = f - -8720. Is o prime? True Suppose 261*d - 1456747 = 244*d. Is d prime? True Let m(u) = u**2 - 23*u - 138. Let n be m(28). Suppose -559 = -5*z - n*o, -7*z + o + 116 = -6*z. Is z a prime number? True Suppose 1 = b, -4*r - 9 - 4 = 3*b. Is r + 2 + -14 + 974 composite? True Let s(i) = 216*i**2. Let q be s(1). Suppose 16*d = 7*d + q. Is 2/(-12) - ((-13516)/d + 6) a prime number? True Suppose 89 + 57 = 62*i + 22. Suppose 4*z = 7804 + 9936. Suppose -7*l + i*l + z = 0. Is l prime? True Let w(m) be the second derivative of 7*m**4/3 - 17*m**3/6 - m**2 - 21*m. Is w(-13) a prime number? True Let b be (3/9)/(2/(-60)). Is (4/b)/(18/(-88785)) composite? False Suppose -16*i - 3*i + 33012790 = -15650865. Is i a prime number? False Let x(c) = -86*c - 35. Let y be x(9). Suppose 0 = 4*f + 9 + 11. Is y*(f + 4)/((-1)/(-1)) composite? False Suppose 26*a = 21*a + 20. Suppose a*i + 5*g = 6093 + 558, -4*i = -2*g - 6686. Is i a prime number? True Let x(z) be the third derivative of 7*z**4/24 - z**3/6 + 3*z**2 + 136. Let f be (3 + -2)/(2/16). Is x(f) prime? False Let s = -24156 - -104455. Is s composite? True Let m(u) = 30*u + 1081. Let j be m(-36). Let n(r) = 212*r + 102*r - 3 + 26*r. Is n(j) composite? False Let x = -10426 - -17947. Let p = -1598 + x. Is p a composite number? False Suppose 4*h - 4*h + u = 0, u + 1220031 = 3*h. Is h prime? False Let y(j) = -13835*j - 470. Is y(-15) a prime number? False Suppose -3*q + 5*r = -6*q - 2573, 0 = -2*q + r - 1698. Let u = 5004 + q. Is u composite? False Let y be 3*(35/3 + -7). Suppose 7*w - 28749 = -y*w. Is w prime? False Suppose 3*s - 8*x - 94 = -13*x, -3*s = -4*x - 49. Is (-4)/46 - (-1324687)/s composite? True Let x(c) = -710*c**3 + 6*c**2 + 11*c + 4. Suppose 159 = -7*n + 152. Is x(n) a composite number? False Let i = -173 - -178. Suppose 4*h - 5*s - 1078 = 395, -i*s = 5. Is h composite? False Let p = 159 - 272. Let u = p - -118. Suppose 1214 = u*k - 5151. Is k a prime number? False Suppose n - 4*l - 316679 = 0, -3*n + 193372 = 5*l - 756631. Is n a prime number? False Let o(h) = -24839*h**3 + 3*h**2 - 6*h - 7. Suppose 5*b = 10, -7*y + 6*y = 4*b - 7. Is o(y) a prime number? True Suppose -7 = 2*t - 153. Suppose -4*f = t - 77. Is -11*f/((-3)/(-141))*-1 prime? False Let u = 448 + 253. Let k = u + 52. Is k a prime number? False Suppose -5*h - 79303 = -28*d + 26*d, 5*d + 3*h = 198304. Is d a prime number? True Let j = 80387 + -47130. Is j a prime number? False Let z = 6949 + -17053. Let v = -6227 - z. Is v prime? True Let i be -2*(2 + 1/(6/(-9))). Is 149166/54*(4 + i) a composite number? False Let d(w) = w**2 + 21*w - 21. Let b(r) = -2*r**2 + 21*r + 14. Let k be b(11). Suppose -2*i + n = -44, 3*i - 26 = k*n + 37. Is d(i) composite? False Let v(c) = -2*c + 1. Let y be v(-5). Let r(f) = 135*f**2 - 21*f + 197. Is r(y) a composite number? False Suppose 0 = -3*z + 6, 5*m - z + 2*z = 48552. Suppose 2*t + m - 41996 = 0. Is t a prime number? False Is 4 - (-58)/(-15) - 9579987/(-135) prime? False Let y(d) = 2*d**2 - 18*d + 29. Let u be y(7). Is (12 - (-300)/(-24))/(u/(-89038)) prime? True Suppose -5*o + 32518 = 4*y - 28459, 3*y = 3*o -
{ "pile_set_name": "DM Mathematics" }
c) be the second derivative of w(c). Determine f(g(u)). 2*u - 11 Let a(v) = -14*v + 4. Let h(b) be the first derivative of -39*b**2/2 + 11*b + 400. Let m(k) = 11*a(k) - 4*h(k). Let p(w) = -21*w + 36*w + 26*w. Give m(p(r)). 82*r Let x(d) = -12*d. Let t(k) be the third derivative of -47*k**4/12 + k**3/6 + 4*k**2 - 4*k - 14. Determine t(x(j)). 1128*j + 1 Let x(v) be the first derivative of 0*v - 2*v**2 + 0*v**3 + 5/24*v**4 - 28. Let d(n) be the second derivative of x(n). Let p(k) = -8*k**2. Give p(d(y)). -200*y**2 Let t(z) = 2*z + 73. Let y(f) be the second derivative of -f**6/720 - 19*f**4/3 - 33*f. Let p(w) be the third derivative of y(w). Calculate t(p(n)). -2*n + 73 Let g(d) be the first derivative of -d**2 - 20*d + 2746. Let v(b) = -4*b + 5. Let t(c) = -3*c + 4. Let k(j) = 5*t(j) - 4*v(j). What is k(g(i))? -2*i - 20 Let n(u) be the first derivative of 111 + 0*u - 2/3*u**3 + 0*u**2. Let l(r) = -11 + 11 + 4*r. What is l(n(p))? -8*p**2 Let u(i) = -27*i**2. Let o(j) = -5960716*j**2. Determine u(o(y)). -959313651281712*y**4 Let h(z) = -6*z**2. Let r be ((-2)/10 - 54/(-45))*2. Let w(k) = 451*k - 451*k + 14*k**r. Give w(h(a)). 504*a**4 Let n(p) = p + 8645. Let v(f) = -58*f. Calculate n(v(i)). -58*i + 8645 Let h(m) = 3*m. Let t(r) = r - 262 - 260 + 522. Let j(q) = -4*h(q) + 7*t(q). Let b(i) be the second derivative of 2*i**3/3 + 3*i. Give j(b(p)). -20*p Let o(t) = 192*t**2 + 2. Let j(h) = -249*h + 498*h - 253*h. What is j(o(u))? -768*u**2 - 8 Let b(t) = -29*t + 2. Let g(r) = -58*r + 4. Suppose -14*i + 12 = 54. Let m(x) = i*g(x) + 7*b(x). Let a(p) = 7 - 7 - 2*p. Determine m(a(j)). 58*j + 2 Let o(n) be the first derivative of -72*n**3 + 137. Let c(x) = -5*x**2. Determine o(c(k)). -5400*k**4 Let o(n) = -5*n. Let l(t) be the first derivative of 0*t - 275 + 0*t**2 - 7/3*t**3. What is o(l(i))? 35*i**2 Let n(g) = 56155*g. Let m(o) = 12*o + 13. Calculate m(n(h)). 673860*h + 13 Let q(m) = -9*m**2 + 5*m. Let k(n) = 5*n**2 - 2*n. Suppose 0 = -101*d + 103*d + 4. Let y(i) = d*q(i) - 5*k(i). Let o(p) = -16*p. Determine y(o(a)). -1792*a**2 Let a(t) be the first derivative of 8*t**3/3 + 330. Let w(q) = 102*q**2. Determine a(w(c)). 83232*c**4 Let a(u) be the third derivative of 0*u + 4*u**2 + 0*u**4 + 8 + 0*u**3 + 1/60*u**5. Let o(y) = -y + 69. Give o(a(r)). -r**2 + 69 Let s(q) = -4*q + 22. Let k(x) = x - 6. Suppose 4*y = -2*y - 36. Let g(o) = y*s(o) - 22*k(o). Let c(w) = 8*w - 24*w**2 - 8*w. Calculate c(g(j)). -96*j**2 Let v(z) = 2*z. Let j(o) = 955514288*o**2. Give j(v(n)). 3822057152*n**2 Let z(o) = 41*o. Let n(c) = 1848*c. Let j = -393 - -121. Let y(k) = j*z(k) + 6*n(k). Let t(q) = -q**2. Give y(t(h)). 64*h**2 Let r(q) be the second derivative of -q**3/3 - 2*q - 5. Let w(x) = -x**2 - 6. Let h(y) = -y**2 - 3. Let p(c) = -7*h(c) + 4*w(c). What is r(p(n))? -6*n**2 + 6 Let w(y) = -y - 4. Let t be w(-1). Let u(k) = k - 8. Let b(i) = 2*i + 8. Let r(j) = t*b(j) - 3*u(j). Let l(z) = 8*z. Give l(r(c)). -72*c Let q(s) = 24*s - 2. Let i(o) = 2263794*o**2. What is q(i(r))? 54331056*r**2 - 2 Let k(t) be the third derivative of -5*t**4/3 - 16*t**3/3 + 25*t**2 + t. Let b(w) = -3*w - 2. Let d(y) = -16*b(y) + k(y). Let c(a) = 13*a. Calculate c(d(m)). 104*m Let r(z) = -2*z + 1. Suppose -2*v - 3*w + 7 = 0, -v - 3*w - 3 = -8. Let i(u) = 12*u - 5. Let l(k) = v*i(k) + 10*r(k). Let n(o) = 40*o + 1. Calculate l(n(x)). 160*x + 4 Let o(n) be the third derivative of 7*n**4/12 - 1696*n**2. Let p(j) = -112*j**2. Calculate p(o(x)). -21952*x**2 Let n(u) = -u**2 - 5*u**2 + 2*u**2. Suppose 6 = 2*i, -i = -x - 3*x + 5. Let d(s) = -37*s**2 - 32*s**2 + 116*s**x - 44*s**2. What is d(n(v))? 48*v**4 Let f = -67 - -127. Suppose -9 + f = 3*l. Let t(x) = -x**2 + 17*x - l*x. Let h(s) = -3*s**2. Calculate h(t(k)). -3*k**4 Let x(l) = -528082577*l**2. Let p(k) = -2*k. Calculate p(x(v)). 1056165154*v**2 Suppose -2*k = -5*h - 0 - 19, -6*h - 12 = 3*k. Let c be (-6)/(-2 - 3/(-6)). Let o(a) = -7*a**2 + 7*a**k + c*a**2. Let m(v) = 12*v. What is m(o(y))? 48*y**2 Let h(s) be the first derivative of s**3/3 + 50. Let x(z) = 268*z - 533*z + 266*z - 35*z**2. Determine h(x(a)). 1225*a**4 - 70*a**3 + a**2 Let a(g) = -g**2 - 2*g - 6. Let h(i) = -58*i + 12. Let n(u) = -2*a(u) - h(u). Let d(o) = -o. Calculate d(n(v)). -2*v**2 - 62*v Let t(o) = 1953*o. Let s(z) = -152*z**2 + 3. Determine t(s(a)). -296856*a**2 + 5859 Let y(a) = 53699*a**2. Let j(b) = -560*b**2. Calculate y(j(q)). 16840006400*q**4 Let f(v) = -2*v**2. Let a(u) be the third derivative of -407*u**5/60 - u**4/24 - 2270*u**2. Give a(f(l)). -1628*l**4 + 2*l**2 Let j(y) = -453*y**2 - y + 170. Let b(w) = 11*w**2. Determine j(b(m)). -54813*m**4 - 11*m**2 + 170 Let d = 10093 + -10091. Let t(a) be the first derivative of 4 + 1/2*a**d + 0*a. Let h(l) = 34*l. Determine h(t(k)). 34*k Let i(m) = -m. Let o(z) = 21*z + 5. Suppose 12 = d + 9. Let v(l) = -4 + d - 2*l - 9*l - 2. Let q(g) = 4*o(g) + 7*v(g). Calculate i(q(r)). -7*r + 1 Let m(r) = -r**2. Let t = 1/943 - -6577/22632. Let a(n) be the third derivative of -13*n**2 + 0 + 0*n + 0*n**3 - t*n**4. Give a(m(h)). 7*h**2 Let d(t) = -874*t**2 - 323*t**2 - 19*t**2. Let w(s) = 10*s**2. Calculate w(d(n)). 14786560*n**4 Let i(g) = 7*g - 113. Let s(x) = -1189*x. What is s(i(t))? -8323*t + 134357 Let n(a) be the third derivative of -a**4/24 - a**2. Let d(z) = 2*z**2 + 5. Let m = 101 + -103. Let o(j) = j**2 + 2. Let v(p) = m*d(p) + 5*o(p). Give n(v(l)). -l**2 Let q(y) = 44*y**2 - 2*y. Let n(k) be the first derivative of -191 - 3/2*k**2 + 0*k. Give n(q(t)). -132*t**2 + 6*t Let w(n) be the second derivative of -5*n**3/6 - 1046*n - 1. Let a(c) = -42*c. Give a(w(u)). 210*u Let u(z) = -9*z. Let b(x) be the first derivative of 2*x - 1 + 0*x**2 + 1/6*x**3. Let r(w) be the first derivative of b(w). What is u(r(m))? -9*m Let o(t) = -167*t**2 - t. Let z(q) be the third derivative of -2*q**4/3 + 11626*q**2. What is z(o(j))? 2672*j**2 + 16*j Let r(n) = -7*n - 85. Let j(z) = 60 - 3 + 15*z + 1 + 57 + 54. Let y(v) = 6*j(v) + 13*r(v). Let w(f) = -f. What is y(w(m))? m - 91 Let w = 114 + -112. Let g(f) = -69*f**2 - 66*f**w + 133*f**2. Let l(u) = -22*u**2. Give l(g(c)). -88*c**4 Let m(o) be the second derivative of 0*o**3 - 43 + 3*o + 0*o**2 + 1/12*o**4. Let u(f) = 7*f. Give u(m(k)). 7*k**2 Let d(h) = -41*h + 41. Let v(f) = -3*f + 2. Let k(i) = 2*d(i) - 41*v(i). Let t(x) = -4*x - 2*x + 4*x. What is t(k(m))? -82*m Let f(i) = 126*i**2 + 22*i + 22. Let g(v) = -598*v**2 - 104*v - 104. Let j(s) = -52*f(s) - 11*g(s). Let h(b) = 102*b. Calculate h(j(n)). 2652*n**2 Let n(d) = -2*d. Suppose 2*r + 50 = 7*r. Suppose -115 = -5*c + r. Let o(b) = 45 - 45 + c*b**2. What is n(o(g))? -50*g**2 Let y(o) = -4*o. Let w(d) = -580867*d**2 + 5*d. Calculate w(y(u)). -9293872*u**2 - 20*u Let n(h) = -3*h. Let j(r) = r - 58. Let o(i) = -4464*i + 28768. Let z(x) = -496*j(x) - o(x). What is z(n(t))? -11904*t Let t(l) be the third derivative of 0*l - 1/12*l**4 - l**2 + 0 + 0*l**3. Let k(o) be the second derivative of 7*o**4/12 + o + 83. What is k(t(b))? 28*b**2 Suppose -2*k - 7196 = -16*k. Let y(b) = -k*b + 933*b - 595*b. Let q(t) = -2*t. Determine y(q(u)). 352*u Let i(g) = -5*g. Let m(a) be the third derivative of a**4/12 - 609*a**3/2 + 1475*a**2 + 3. Calculate i(m(l)). -10*l + 9135 Suppose 8*d - 14 = 2. Let v(o) = 0*o**2 + 3*o**d - o**2. Let w(z) = 99*z. Give v(w(g)). 19602*g**2 Let c(w) = 2*w. Let f(v) = -18340215*v. What is c(f(n))? -36680430*n Let h(m) = 4*m + 187. Let g(o) = -4*o**2 + 30*o + 2. Give h(g(b)). -16*b**2 + 120*b + 195 Let n(u) = -22*u. Let i(b) = -b - 16566. Determine n(i(y)). 22*y + 364452 Let p(h) = 3*h**2. Let o(y) = 74*y**2 - 20*y**2 - 30*y**2 - 18*y**2 + 51*y. What is o(p(w))? 54*w**4 + 153*w**2 Let w(y) = 3*y**2. Let x(b) = 831973 + 14*b - 5*b - 831965. Determine x(w(k)). 27*k**2 + 8 Suppose -5*m + 7*m = 4. Suppose -5*s = -f - 15, -3*s + 5*f + 14 = -17. Let v(g) = 12*g**s + 4*g**m + 3*g**2. Let d(h) = 2*h. Determine v(d(u)). 76*u**2 Let q(w) = -41*w. Let u(v) = -3975*v. Let k(j) = 583*q(j) - 6*u(j). Let r(c) = 2013*c. Let f(g) = 77*k(g) + 2*r(g). Let t(z) = z. Determine f(t(a)). -55*a Let o(n) = 26342*n**2 - 108. Let l(q) = 2*q + 63. What is l(o(u))? 52684*u**2 - 153 Let a(k) = -46*k + 12 - 44 + 10 + 22. Let y(r) = -15*r. Calculate a(y(c)). 690*c Let j(d)
{ "pile_set_name": "DM Mathematics" }
-831, -835, -841? -849 What is the next term in 12, 165, 594, 1443, 2856, 4977, 7950? 11919 What is next in 32, 35, 48, 77, 128, 207, 320? 473 What is next in -38, -89, -150, -221? -302 What comes next: -42, -54, -66, -78? -90 What is the next term in 13896, 13897, 13898, 13899, 13900? 13901 What is the next term in 5, -10, -29, -46, -55? -50 What is the next term in -25, -9, 41, 143, 315, 575, 941, 1431? 2063 What is next in 43, 72, 111, 160, 219, 288? 367 What is the next term in -286, -252, -216, -178, -138, -96? -52 What comes next: 90, 80, 70? 60 What is the next term in -6147, -6146, -6145, -6144, -6143? -6142 What is next in -56, -227, -512, -911, -1424, -2051? -2792 What is the next term in -166, -332, -488, -628, -746, -836? -892 What comes next: 25, 44, 61, 76? 89 What is the next term in 47, 68, 111, 182, 287, 432, 623? 866 What is next in -135, -288, -441? -594 What comes next: 113, 95, 77, 59? 41 What is next in 5, 0, -27, -88, -195, -360, -595? -912 What is next in -4533, -9065, -13597? -18129 What is next in -4963, -4968, -4983, -5014, -5067, -5148? -5263 What is the next term in 2702, 2704, 2706? 2708 What is the next term in -1127, -1126, -1125, -1124, -1123? -1122 What is the next term in -2048, -2046, -2044, -2042? -2040 What is the next term in -15237, -15230, -15211, -15174, -15113, -15022, -14895, -14726? -14509 What comes next: 11261, 22517, 33773, 45029, 56285, 67541? 78797 What is next in 877, 882, 887, 892, 897? 902 What comes next: 41, 51, 85, 155, 273, 451, 701, 1035? 1465 What comes next: 41, -131, -417, -817? -1331 What comes next: -31, -62, -115, -202, -335? -526 What comes next: 1900, 1887, 1874, 1861, 1848, 1835? 1822 What is next in 158, 309, 458, 605? 750 What is next in 301, 317, 343, 385, 449, 541, 667? 833 What is next in 1208, 2416, 3624? 4832 What comes next: -746, -748, -760, -788, -838, -916, -1028, -1180? -1378 What is the next term in -9, -28, -59, -102? -157 What is the next term in 24, 93, 206, 363, 564, 809, 1098? 1431 What is next in 27, 177, 437, 813, 1311, 1937, 2697? 3597 What is the next term in -73, -166, -261, -358, -457, -558, -661? -766 What comes next: -63, -58, -51, -42, -31, -18, -3? 14 What comes next: 37, 72, 107, 142, 177? 212 What is next in -1234, -1232, -1228, -1222, -1214, -1204, -1192? -1178 What is the next term in -820, -822, -822, -820, -816? -810 What comes next: 3, 5, 7, 9, 11, 13? 15 What comes next: 2245, 2252, 2271, 2308, 2369, 2460, 2587, 2756? 2973 What is next in -20, -41, -68, -101, -140? -185 What is the next term in 77, 89, 113, 155, 221, 317, 449? 623 What is next in 74, 194, 394, 674? 1034 What is the next term in -66, -412, -990, -1800, -2842? -4116 What is next in -63, -119, -173, -225, -275, -323, -369? -413 What comes next: -139, -568, -1281, -2278, -3559, -5124? -6973 What is the next term in -26, -38, -50? -62 What comes next: -29187, -29185, -29183, -29181? -29179 What is next in -118, -121, -136, -169, -226, -313, -436? -601 What comes next: -81, -157, -233, -309? -385 What is the next term in 4790, 4789, 4788, 4787, 4786? 4785 What is the next term in 348, 672, 994, 1314, 1632? 1948 What is next in 32, 38, 44, 50? 56 What is the next term in -40, -22, 16, 80, 176? 310 What is next in 88, 307, 672, 1183, 1840, 2643, 3592? 4687 What is the next term in -84, -120, -156? -192 What is the next term in -10, 1, 22, 59, 118, 205, 326? 487 What is next in -28, -61, -94, -127? -160 What is the next term in 320, 322, 326, 332, 340? 350 What is the next term in 320, 647, 974, 1301? 1628 What is next in 544, 547, 550, 553, 556, 559? 562 What is the next term in -98, -86, -60, -14, 58, 162, 304? 490 What comes next: 39, 70, 101? 132 What is next in -276, -1158, -2628, -4686? -7332 What is the next term in -1027, -1028, -1029? -1030 What comes next: -1807, -3615, -5423, -7231? -9039 What comes next: -70, -53, -36, -19, -2? 15 What is next in -95, -382, -869, -1562, -2467? -3590 What comes next: 1754, 1749, 1742, 1733, 1722, 1709, 1694? 1677 What comes next: -50, -33, -6, 31, 78, 135? 202 What comes next: 46, 74, 84, 76, 50? 6 What is the next term in -8, -7, -20, -53, -112, -203, -332? -505 What is the next term in -132, -134, -128, -108, -68, -2, 96? 232 What comes next: 452, 895, 1326, 1739, 2128, 2487, 2810, 3091? 3324 What comes next: -68, -252, -436, -620, -804, -988? -1172 What is the next term in 10, 32, 58, 88, 122, 160, 202? 248 What is next in -5, 9, 47, 121, 243? 425 What comes next: -3322, -6639, -9954, -13267, -16578, -19887, -23194? -26499 What is next in 4409, 4412, 4415, 4418, 4421, 4424? 4427 What comes next: -40, -177, -406, -727? -1140 What is the next term in 32, 73, 140, 233, 352? 497 What comes next: -56, -60, -66, -74, -84, -96, -110? -126 What is the next term in -128, -126, -124, -122? -120 What is next in -221, -228, -235, -242, -249? -256 What is the next term in -73, -48, -9, 50, 135? 252 What comes next: -248, -486, -718, -944, -1164? -1378 What comes next: -5, -2, 1, 4? 7 What is the next term in 423, 437, 465, 513, 587, 693, 837, 1025? 1263 What is the next term in -11, -15, -19, -23, -27? -31 What comes next: 21, 47, 89, 147, 221, 311, 417? 539 What comes next: 25, 55, 87, 121, 157? 195 What comes next: 145, 144, 143, 142, 141, 140? 139 What comes next: 56, 118, 180, 242? 304 What is the next term in 1086, 1087, 1088, 1089, 1090? 1091 What is next in 56, 87, 116, 143, 168, 191, 212? 231 What is next in -648, -621, -580, -519, -432? -313 What is next in 38, 53, 80, 125, 194, 293, 428, 605? 830 What is the next term in 27, 61, 107, 171, 259, 377? 531 What comes next: -1296, -1294, -1292? -1290 What comes next: -1538, -1537, -1536, -1535, -1534? -1533 What is next in -15, -41, -69, -99, -131, -165, -201? -239 What is next in -225, -449, -673, -897, -1121, -1345? -1569 What is the next term in -96, -182, -268, -354, -440? -526 What is next in 32, 61, 94, 131, 172? 217 What is the next term in 0, -11, -32, -63, -104, -155, -216? -287 What is next in -15118, -15120, -15122, -15124, -15126? -15128 What is the next term in -127, -158, -209, -280, -371, -482? -613 What is the next term in -501, -1002, -1503, -2004? -2505 What is next in 39, 147, 325, 573, 891, 1279? 1737 What comes next: 280, 345, 454, 607, 804? 1045 What is the next term in 56, 130, 216, 320, 448, 606, 800, 1036? 1320 What is next in -2497, -2492, -2483, -2470, -2453, -2432, -2407? -2378 What comes next: 161, 157, 151, 143, 133, 121, 107? 91 What is the next term in 0, -5, -6, 3, 28, 75, 150? 259 What is next in 347, 2780, 9387, 22256, 43475, 75132, 119315? 178112 What comes next: 8, 24, 38, 50, 60, 68? 74 What comes next: 5, -15, -53, -115, -207, -335, -505, -723? -995 What is next in 1800, 1781, 1744, 1683, 1592? 1465 What is next in 102, 192, 268, 324, 354, 352? 312 What is the next term in 174, 172, 160, 132, 82, 4, -108? -260 What is next in -1164, -1159, -1150, -1137, -1120, -1099, -1074? -1045 What comes next: 37, 10, -35, -98, -179, -278? -395 What is next in 361, 360, 359? 358 What comes next: 12, 43, 126, 285, 544, 927? 1458 What is the next term in -220, -190, -160? -130 What comes next: 44, 43, 20, -37, -140? -301 What comes next: -48, -49, -50? -51 What is next in -100, -92, -82, -70? -56 What is the next term in -40, -39, -48, -73, -120, -195, -304, -453? -648 What is the next term in -114, -231, -348, -465, -582, -699? -816 What is next in 33, 35, 37, 39? 41 What is the next term in -72, -122, -172, -222, -272? -322 What is next in 172, 332, 490, 646? 800 What is next in 1554, 1555, 1556? 1557 What is the next term in -696, -706, -718, -732? -748 What is the next term in -326, -329, -342, -371, -422, -501, -614, -767? -966 What comes next: 96, 186, 278, 372, 468, 566? 666 What comes next: 763, 1528, 2295, 3064? 3835 What is the next term in -8, -95, -336, -809, -1592, -2763, -4400? -6581 What comes next: -281, -279, -277, -275? -273 What is the next term in 50, 48, 36, 8, -42, -120? -232 What is the next term in 23, 8, -9, -28, -49? -72 What comes next: 4, -1, -20, -59, -124, -221? -356 What comes next: 33, 111, 249, 465, 777, 1203? 1761 What is next in 73, 78, 95, 130, 189, 278? 403 What comes next: -83, -135, -177, -203, -207? -183 What is the next term i
{ "pile_set_name": "DM Mathematics" }
2*n/3 + 519339476168. 2*(n + 1528734)**2/9 Find s such that -5*s**2 - 42213090*s - 89097248367405 = 0. -4221309 Factor -n**5 - 5562*n**4 + 417064*n**3. -n**3*(n - 74)*(n + 5636) Factor 3*a**2 - 99042*a + 3363960. 3*(a - 32980)*(a - 34) Find w, given that 2*w**3/3 + 4099312*w**2/3 + 2100516163690*w/3 - 29408029762300/3 = 0. -1024835, 14 Let 10*g**5/7 + 191894*g**4/7 - 12044654*g**3/7 + 19534198*g**2 + 243927740*g + 94334800 = 0. What is g? -19252, -7, -2/5, 35 Factor 5*s**3 - 207400*s**2 - 20*s + 829600. 5*(s - 41480)*(s - 2)*(s + 2) Suppose 5*f**2 - 670535*f - 3352800 = 0. What is f? -5, 134112 What is o in 3*o**2 + 28547331*o - 28547334 = 0? -9515778, 1 Factor -3*o**3/4 - 806295*o**2/2 + 35478069*o/4 - 48782844. -3*(o - 11)**2*(o + 537552)/4 Suppose -2*f**5 + 2788*f**4 - 10214*f**3 - 1255876*f**2 - 4811560*f - 4726000 = 0. Calculate f. -17, -2, 25, 1390 Suppose 3*r**5 + 669*r**4 - 64851*r**3 - 335481*r**2 - 542544*r - 272580 = 0. Calculate r. -295, -2, -1, 77 Factor 2*s**2/5 - 1158998208*s/5 + 167909605768401408/5. 2*(s - 289749552)**2/5 Let -58875*s**3 + 259000*s**2 - 93980*s - 80 = 0. Calculate s. -2/2355, 2/5, 4 Suppose -3*d**3/2 + 294757*d**2/6 + 7909557*d + 5265760/3 = 0. Calculate d. -160, -2/9, 32911 Find i, given that -3*i**3/5 + 283764*i**2/5 - 1702179*i + 12765330 = 0. 15, 94558 Factor 3*k**2 - 246765*k + 19229418. 3*(k - 82177)*(k - 78) Let w**2/4 + 9141*w/2 - 91435/4 = 0. Calculate w. -18287, 5 Solve -7245*l**2 + 36327*l/5 - 102/5 = 0. 34/12075, 1 Factor v**5/3 - 191186*v**4/3 + 9137448064*v**3/3 + 18277190432*v**2. v**2*(v - 95596)**2*(v + 6)/3 Let 15*n**5/2 - 229773*n**4 + 1758291183*n**3 + 23946216540*n**2 + 138807949875*n/2 - 31705509375 = 0. Calculate n. -9, -5, 2/5, 15325 Factor -3*r**2/7 + 106938*r/7 + 320841/7. -3*(r - 35649)*(r + 3)/7 Factor 2*b**3/7 - 49020136*b**2/7 + 300371667662170*b/7 + 600743531404900/7. 2*(b - 12255035)**2*(b + 2)/7 Factor -2*p**2/13 + 84197760*p/13 - 84197758/13. -2*(p - 42098879)*(p - 1)/13 Determine v so that -2*v**5/3 - 489437*v**4/3 + 734162*v**3/3 + 489440*v**2/3 = 0. -244720, -1/2, 0, 2 Factor 6*y**2 + 168738316*y - 56246106. 2*(y + 28123053)*(3*y - 1) Find q, given that -2*q**3/17 + 115316*q**2/17 - 345922*q/17 - 461240/17 = 0. -1, 4, 57655 Find l such that -2*l**3 - 41996*l**2/9 - 29510*l/3 + 12432 = 0. -2331, -3, 8/9 Let 27473*o**2/4 + 576931*o/4 - 21/2 = 0. Calculate o. -21, 2/27473 Determine a, given that 3*a**3/8 - 705393*a**2/4 - 705399*a = 0. -4, 0, 470266 Solve u**3 + 43002185*u**2 = 0 for u. -43002185, 0 Factor 3*n**3/4 - 5217*n**2 - 20889*n/4 + 62613/2. 3*(n - 6957)*(n - 2)*(n + 3)/4 Let -4*t**2 - 104152*t + 12450732 = 0. What is t? -26157, 119 Find k, given that -k**2/3 + 2649413*k + 7948240/3 = 0. -1, 7948240 Determine x so that -2*x**5/5 - 22628*x**4/15 + 2977928*x**3/5 - 32490484*x**2/15 + 981906*x + 2950248/5 = 0. -4132, -1/3, 1, 3, 357 Suppose -5*u**5/4 + 121*u**4/2 - 781*u**3/4 + 181*u**2 - 45*u = 0. Calculate u. 0, 2/5, 1, 2, 45 Factor 4*s**2 + 12952*s - 1877612. 4*(s - 139)*(s + 3377) Determine j, given that -2*j**3 + 3082*j**2 - 1203104*j + 139621896 = 0. 262, 1017 Factor -3*c**2 + 8979*c + 48249504. -3*(c - 5777)*(c + 2784) Let 13*t**3/3 - 1293*t**2 + 39896*t + 339796/3 = 0. What is t? -34/13, 38, 263 Find m, given that 2*m**2 + 95254556*m + 1134178804844642 = 0. -23813639 Determine z so that z**3 - 8065608*z**2 + 16263524233620*z - 65053967884816 = 0. 4, 4032802 Factor -5*y**3 - 4369140*y**2 + 157293900*y - 1415659680. -5*(y - 18)**2*(y + 873864) What is r in 2*r**3/9 + 9200*r**2/9 + 9042976*r/9 - 3655480832/9 = 0? -2452, 304 Factor 3*a**4 + 119628*a**3 + 1599900498*a**2 + 7305031548108*a + 1721592739181763. 3*(a + 249)*(a + 13209)**3 Suppose -354*u**2 + 12724880*u + 143784 = 0. Calculate u. -2/177, 35946 Determine g so that 3*g**5 - 735*g**4 - 46263*g**3 - 944481*g**2 - 7907724*g - 23392800 = 0. -19, -9, -8, 300 What is r in 5*r**4 - 218965*r**3 - 657020*r**2 + 3503740*r - 2627760 = 0? -6, 1, 2, 43796 Let 61765*i**4 + 4705645*i**3 + 874430*i**2 + 3800*i = 0. Calculate i. -76, -2/11, -5/1123, 0 Suppose -s**5/10 + 37249*s**4/5 - 276855755*s**3/2 - 59809692821*s**2/5 + 184273495456*s/5 - 123771700496/5 = 0. What is s? -89, 1, 2, 37292 Suppose 14*k**3/5 + 86852*k**2/5 + 2654266*k/5 - 765452/5 = 0. Calculate k. -6173, -31, 2/7 Factor z**3/5 + 463*z**2/5 + 51424*z/5 - 51888/5. (z - 1)*(z + 188)*(z + 276)/5 What is k in 39756*k**3/5 + 516837*k**2/5 + 1669869*k/5 + 378/5 = 0? -7, -6, -3/13252 Find w, given that 2*w**2/5 + 157736*w/5 + 10874262/5 = 0. -78799, -69 Suppose 137*b**4/3 + 521651*b**3 + 4469914037*b**2/3 + 1511193421*b + 65231042/3 = 0. Calculate b. -5711, -1, -2/137 Factor 28*q**3 + 15492*q**2 + 695912*q + 197568. 4*(q + 49)*(q + 504)*(7*q + 2) Factor -230*w**2/13 + 42558*w/13 - 515656/13. -2*(w - 172)*(115*w - 1499)/13 Let 3*u**3/8 + 19443*u**2/2 + 101051955*u/2 + 74424169872 = 0. Calculate u. -19552, -3186 Find u such that -54*u**2 + 34319102*u + 2542156 = 0. -2/27, 635539 Solve 5*r**4 + 235*r**3 + 3470*r**2 + 19440*r + 36000 = 0 for r. -25, -12, -6, -4 Solve 2503210*i**2 + 2503202*i - 8 = 0 for i. -1, 4/1251605 Factor 3*s**3 - 6146481*s**2 - 6146484*s. 3*s*(s - 2048828)*(s + 1) Find w, given that -10*w**4 + 152086*w**3 - 576011754*w**2 - 17064685726*w - 6733702676 = 0. -29, -2/5, 7619 Solve 1335691708608*x**2 - 41369872*x + 961/3 = 0. 31/2001768 What is x in 5*x**3 + 30895*x**2 + 13299515*x - 67270575 = 0? -5713, -471, 5 Solve 2*q**3 - 99760*q**2 + 1150578634*q + 2372340028996 = 0. -1778, 25829 Factor -x**2/7 + 251878*x/7 + 13604328/7. -(x - 251932)*(x + 54)/7 Determine m, given that 5*m**5 - 927750*m**4 + 22262995*m**3 + 23190750*m**2 = 0. -1, 0, 25, 185526 Suppose -3*x**2/2 - 24195*x/2 + 940401 = 0. Calculate x. -8142, 77 Determine p, given that 2*p**5/7 + 4960*p**4/7 - 14916*p**3/7 - 44640*p**2/7 + 134082*p/7 = 0. -2483, -3, 0, 3 Suppose -4*t**3 - 41452*t**2 - 7448768*t + 30458560 = 0. Calculate t. -10180, -187, 4 What is g in 5*g**2 - 627615*g + 19451260 = 0? 31, 125492 Factor d**2/2 + 74106276*d + 2745870071294088. (d + 74106276)**2/2 Let 3*v**2 - 7003797*v - 189104706 = 0. Calculate v. -27, 2334626 Solve -o**3 - 24275*o**2 - 775708*o + 1648524 = 0 for o. -24243, -34, 2 What is p in -p**5/4 - 17018*p**4 - 1158585417*p**3/4 - 2316251941*p**2/2 + 3185259077*p - 1737469734 = 0? -34034, -6, 1 Suppose 3*k**2 + 2321031*k - 9284172 = 0. Calculate k. -773681, 4 Determine o, given that 95*o**3 + 26215*o**2 - 671850*o + 4095000 = 0. -300, 210/19, 13 Suppose f**3/9 + 2132846*f**2/9 = 0. Calculate f. -2132846, 0 Solve -2*a**4 - 474*a**3 - 7564*a**2 + 792960*a = 0 for a. -210, -59, 0, 32 Solve -b**5/4 - 15*b**4 - 477*b**3/4 + 6183*b**2/2 - 13608*b + 17496 = 0 for b. -36, 3, 6 Solve -7*z**5/5 - 258*z**4 - 4*z**3/5 + 66408*z**2/5 - 104704*z/5 - 35328/5 = 0 for z. -184, -8, -2/7, 2, 6 Solve -5*l**5 - 13580*l**4 - 602200*l**3 - 3274150*l**2 - 5810595*l - 3125070 = 0. -2671, -39, -3, -2, -1 Factor y**3/3 + 8879407*y**2 + 59132897064033*y - 177398717830321/3. (y - 1)*(y + 13319111)**2/3 Factor 2*t**2/9 - 250384*t/9 - 500776/9. 2*(t - 125194)*(t + 2)/9 What is d in -d**4/11 - 612432*d**3/11 - 7961433*d**2/11 + 8573866*d/11 = 0? -612419, -14, 0, 1 What is l in 4*l**4/9 + 16700*l**3/9 + 66668*l**2/3 + 749540*l/9 + 832600/9 = 0? -4163, -5, -2 What is g in 4*g**4 + 48*g**3 - 30768*g**2 - 247424*g - 495360 = 0? -90, -4, 86 Factor z**2 - 7392*z + 12988016. (z - 4516)*(z - 2876) Solve 4*w**2 + 809176*w + 63091392 = 0. -202216, -78 Factor 2*p**3/11 + 2177744*p**2/11 + 592771024906*p/11 - 27272075446652/11. 2*(p - 46)*(p + 544459)**2/11 Solve 2*i**4/21 + 2032*i**3/7 + 10148*i**2/7 + 42608*i/21 + 6086/7 = 0. -3043, -3, -1 Factor 64*s**3 - 5226161824*s**2 - 2613080924*s - 326635116. 4*(s - 81658779)*(4*s + 1)**2 Suppose 3*f**4/5 - 1302*f**3/5 - 1593*f**2/5 + 6558204*f + 234132060 = 0. Calculate f. -118, -38, 295 Factor 2*y**3/5 + 558726*y**2 - 134097696*y/5 + 1609186176/5. 2*(y - 24)**2*(y + 1396863)/5 Let -4*p**3 - 24632*p**2 - 37797504*p + 380442240 = 0. What is p? -3084, 10 Factor 20*o**5 + 73232*o**4 - 293128*o**3 + 439792*o**2 - 293228*o + 73312. 4*(o - 1)**4*(5*o + 18328) What is c in -5*c**3 - 198380*c**2 + 2976995*c + 6747470 = 0? -39691, -2, 17 Solve -12*n**3 - 253676*n**2
{ "pile_set_name": "DM Mathematics" }
u when three letters picked without replacement from {t: 2, u: 1, i: 3, f: 1, c: 4, v: 1}. 1/330 Calculate prob of sequence qnqj when four letters picked without replacement from {n: 2, j: 13, q: 5}. 13/2907 Four letters picked without replacement from {a: 9, x: 2, u: 2}. What is prob of sequence xuxa? 3/1430 Three letters picked without replacement from ccccffqpqqqfcccqpthc. What is prob of sequence qft? 1/456 Two letters picked without replacement from {o: 1, m: 1, v: 1, l: 2, w: 4}. What is prob of sequence wv? 1/18 What is prob of sequence ttgt when four letters picked without replacement from ttggt? 1/10 Calculate prob of sequence ces when three letters picked without replacement from {q: 1, u: 1, e: 1, c: 1, s: 1}. 1/60 Two letters picked without replacement from neeeezzennen. What is prob of sequence nn? 1/11 Calculate prob of sequence ds when two letters picked without replacement from lvdsf. 1/20 Calculate prob of sequence jpe when three letters picked without replacement from {e: 2, j: 2, p: 1, v: 1, f: 1, n: 1}. 1/84 What is prob of sequence guuu when four letters picked without replacement from {g: 4, u: 15}? 455/3876 Calculate prob of sequence mmm when three letters picked without replacement from {m: 3, e: 1}. 1/4 Four letters picked without replacement from tthtthh. Give prob of sequence hthh. 1/35 Two letters picked without replacement from {l: 1, j: 3, y: 4}. Give prob of sequence ly. 1/14 Two letters picked without replacement from beqewebqekeeeubkq. Give prob of sequence wq. 3/272 Calculate prob of sequence vm when two letters picked without replacement from uauvmmjummvmajjjma. 2/51 Calculate prob of sequence cce when three letters picked without replacement from {c: 15, e: 4}. 140/969 What is prob of sequence ac when two letters picked without replacement from {a: 1, x: 1, y: 1, c: 1, i: 2, f: 1}? 1/42 Calculate prob of sequence imz when three letters picked without replacement from {z: 7, m: 1, i: 1, s: 1, b: 3}. 7/1716 What is prob of sequence tt when two letters picked without replacement from gggggggggggtgggggtgg? 1/190 What is prob of sequence qzza when four letters picked without replacement from akkokkzogkzqgzz? 1/2730 Four letters picked without replacement from {l: 5, v: 3, f: 1, q: 6}. What is prob of sequence qlqq? 5/273 Calculate prob of sequence tt when two letters picked without replacement from {z: 1, t: 3, u: 10, a: 2, k: 3}. 1/57 What is prob of sequence lrc when three letters picked without replacement from gxlrxac? 1/210 Three letters picked without replacement from {p: 3, s: 9}. What is prob of sequence sps? 9/55 Calculate prob of sequence exe when three letters picked without replacement from oekoekxexoxoooeeooo. 10/969 What is prob of sequence ul when two letters picked without replacement from {k: 1, r: 1, g: 2, u: 6, l: 2}? 1/11 What is prob of sequence vqq when three letters picked without replacement from qvvmqvqvqqqqvqv? 8/65 What is prob of sequence xn when two letters picked without replacement from {z: 4, x: 1, q: 1, k: 7, n: 2, o: 3}? 1/153 Three letters picked without replacement from pppppppipippppippipp. Give prob of sequence iip. 8/285 Three letters picked without replacement from {t: 4, k: 8, y: 4}. What is prob of sequence yyy? 1/140 Two letters picked without replacement from {q: 2, z: 1, o: 8, k: 2, p: 1, f: 1}. What is prob of sequence fk? 1/105 Three letters picked without replacement from wwppqpww. What is prob of sequence qwp? 1/28 Calculate prob of sequence rrr when three letters picked without replacement from rrrrrrrrr. 1 What is prob of sequence pcey when four letters picked without replacement from yeyyypctc? 1/378 Three letters picked without replacement from {e: 2, m: 7, t: 1, j: 2}. What is prob of sequence mjj? 7/660 Two letters picked without replacement from {g: 2, w: 2}. What is prob of sequence gw? 1/3 Two letters picked without replacement from ejyehjpjeehjpj. What is prob of sequence ph? 2/91 Two letters picked without replacement from gbkbkpppbbgkbpk. What is prob of sequence pp? 2/35 Two letters picked without replacement from {x: 1, g: 3}. What is prob of sequence gg? 1/2 Three letters picked without replacement from nnnsnwznn. What is prob of sequence zsw? 1/504 Four letters picked without replacement from levviieeebbiiet. What is prob of sequence ieti? 1/546 Two letters picked without replacement from {m: 2, b: 18}. Give prob of sequence mb. 9/95 Two letters picked without replacement from {m: 2, a: 2}. Give prob of sequence am. 1/3 Three letters picked without replacement from {o: 1, d: 4, u: 2, i: 9, x: 1}. Give prob of sequence uud. 1/510 Four letters picked without replacement from {e: 1, v: 1, h: 1, n: 1, y: 2, a: 1}. What is prob of sequence hean? 1/840 Two letters picked without replacement from {r: 1, f: 3, w: 2, j: 10}. What is prob of sequence ff? 1/40 Two letters picked without replacement from ppppppp. What is prob of sequence pp? 1 Two letters picked without replacement from xmwmwmmwomuwmum. What is prob of sequence mx? 1/30 Calculate prob of sequence qm when two letters picked without replacement from {h: 4, q: 1, p: 2, n: 1, u: 3, m: 1}. 1/132 Four letters picked without replacement from ehhdceegeehdrgdhg. Give prob of sequence cgrh. 1/4760 Calculate prob of sequence mmmp when four letters picked without replacement from jomogmmdodmpddo. 1/1365 Four letters picked without replacement from byqbb. What is prob of sequence ybqb? 1/20 Four letters picked without replacement from {h: 4, f: 1, x: 2, l: 4, z: 9}. What is prob of sequence lzzf? 4/1615 Calculate prob of sequence bq when two letters picked without replacement from qcpqqbqcb. 1/9 What is prob of sequence hsmh when four letters picked without replacement from {m: 1, y: 1, u: 4, s: 3, h: 1, j: 2}? 0 What is prob of sequence iaff when four letters picked without replacement from ibfiyizfzafzyzf? 1/910 What is prob of sequence ecj when three letters picked without replacement from {j: 8, i: 1, h: 3, c: 5, e: 2}? 40/2907 What is prob of sequence yp when two letters picked without replacement from {f: 1, p: 4, g: 1, w: 7, j: 4, y: 2}? 4/171 What is prob of sequence ojz when three letters picked without replacement from {j: 4, z: 2, p: 1, o: 1}? 1/42 Four letters picked without replacement from {s: 6, d: 4}. Give prob of sequence sssd. 2/21 Calculate prob of sequence mq when two letters picked without replacement from {x: 1, m: 1, q: 2, z: 1}. 1/10 Four letters picked without replacement from {c: 12, o: 4, k: 1, j: 2}. Give prob of sequence ccjc. 55/1938 Two letters picked without replacement from yyii. Give prob of sequence iy. 1/3 Two letters picked without replacement from qkqkktkjqtjttttstqst. Give prob of sequence jq. 2/95 Two letters picked without replacement from {o: 1, l: 1, t: 1}. What is prob of sequence ol? 1/6 What is prob of sequence xx when two letters picked without replacement from {r: 1, x: 1, d: 1, b: 2}? 0 What is prob of sequence tttq when four letters picked without replacement from ddtddtdtqqttq? 3/286 Three letters picked without replacement from kvkawkvvkkwwvkvkvk. What is prob of sequence avv? 5/816 Calculate prob of sequence ddd when three letters picked without replacement from odooodddoood. 1/22 Calculate prob of sequence tb when two letters picked without replacement from {q: 2, b: 2, m: 1, w: 1, t: 1, z: 1}. 1/28 Calculate prob of sequence yoo when three letters picked without replacement from oobbbbybyobo. 1/55 Four letters picked without replacement from {y: 1, x: 1, u: 3, b: 1, a: 5, v: 1}. What is prob of sequence aaxu? 1/198 What is prob of sequence uj when two letters picked without replacement from {j: 1, f: 1, i: 1, z: 1, u: 1}? 1/20 What is prob of sequence jjj when three letters picked without replacement from jfjfjjjfjjjjjj? 165/364 Calculate prob of sequence ee when two letters picked without replacement from ddddddppdddeded. 1/105 Two letters picked without replacement from {n: 1, v: 1, a: 1, l: 1, b: 3}. What is prob of sequence al? 1/42 Three letters picked without replacement from {z: 2, x: 1}. Give prob of sequence zzx. 1/3 What is prob of sequence nn when two letters picked without replacement from {c: 3, n: 2, j: 11, h: 3}? 1/171 Four letters p
{ "pile_set_name": "DM Mathematics" }
p) = 2*p**3 - p**2 + 2*p - 1. Let o be i(1). Suppose -3*j = o*j - 10. Solve 0 = -3*q - 2*s + 17, j + 6 = 2*s for q. 3 Let w(u) = u**3 + 7*u**2 + 4*u - 2. Let n be w(-6). Suppose -5*i + 5 = -n. Let t = 3 + 24. Solve -2*d + t = 2*d + i*c, 0 = 3*d - c - 4 for d. 3 Let y = -106 + 122. Solve 7*d - 3*a + y = 3*d, 0 = -2*d - 3*a - 8 for d. -4 Let d(v) = 1 - 2*v**2 - 7 - 2*v**2 - 3*v + v**3. Let f be d(5). Solve -3*g = 2*i + 8, 6*i + f*g = 3*i - 11 for i. -1 Let v = 29 - 24. Solve 0 = -2*z - d - 7 - 3, 0 = 5*z + v*d + 35 for z. -3 Suppose -3*z + q = -3, -4*z - 4*q = -2*z + 12. Solve -5*n + 27 = -3*o, o + 3*o + 3*n + 7 = z for o. -4 Let k = 6 + -33. Let s be ((-4)/(-6))/((-6)/k). Solve 4*c + c = 5*y + 15, 2*c - 7 = s*y for y. -1 Let f(l) be the first derivative of l**2/2 - 3. Let v be f(5). Solve 0 = -v*x + 2*g - 15, -x - g = -0*x - 4 for x. -1 Let o = -23 + 40. Solve -5*p + 42 = 4*m + 7, -p - o = -4*m for m. 5 Let b(k) = 10*k + 1. Let t be b(-1). Let q = -8 - t. Suppose -o - q = -2*g - 2*o, -g - 22 = 5*o. Solve 6*p - 3*p - 9 = 0, 2*p - g = -3*y for y. -1 Let s be 1 + 0 - (-8)/(-8). Suppose -2*y - 3*n = -15, s = -y - 4*n + 14 + 1. Solve 4*q + 14 = 2*o + 3*o, y*q - 7 = -5*o for q. -1 Suppose 0 = 2*b - 6*b. Suppose 0 = -3*a - b + 6. Let j(k) = -k - 2. Let p be j(-4). Solve 2*d = 2*h - p, a*h - 46 = -5*d - 16 for h. 5 Let n = 18 - 3. Let k be 36/n - 4/10. Suppose l - 5 - 4 = 4*x, -5*l + 4*x + 29 = 0. Solve l*g = -2*t - 25, k*t - g - 2*g = 15 for t. 0 Let g(b) = -b**3 + 7*b**2 - 5*b - 6. Let n be g(6). Let z = 4 - n. Solve z*p - 13 = -5*l, 3*l = l + 2 for p. 2 Let n be (18/(-2))/(-3)*-1. Let j(w) = -w**3 - 4*w**2 - 4*w + 3. Let y be j(n). Solve 5*u = 4*l + 27, 4*u + l - 3 = y for u. 3 Suppose -5*u - 80 = 2*g, -5 - 4 = u - g. Let o = u - -20. Solve 2*j + 10 = 2*v + o*j, 3*v - 2*j = 15 for v. 5 Let f be (-5)/15*(-9 - 0). Suppose 0 = -h + 5*g - 1, -2*h + 10 + 21 = g. Solve 5*c + h = -3*s, -7*c = -f*s - 3*c - 5 for s. -3 Let p(i) = -i**2 + 5*i + 4. Let w be p(5). Suppose 0*o = -d - w*o + 18, 5*d - 2 = 2*o. Solve 3*v - v - 6 = -2*t, 3*v = -d*t + 10 for t. -1 Let h(k) = 2*k + 0*k + 1 - 7*k + k - k**2. Let n be h(-5). Let m be (-8)/16 - 46/n. Solve -t + m = -4*w - 0, 0 = 3*t + 4*w + 31 for t. -5 Suppose 30*u - 15*u = 21*u. Solve u = -4*n + 2*l - 4 - 6, -n = 4*l + 25 for n. -5 Let i = -55 - -60. Solve -i*u - 24 = -t, -u + 0*t = t + 6 for u. -5 Suppose -4*w = 5*o + 1, 13 = -o - 3*w - w. Solve -5*i + 29 = -4*u, o*i - 17 = 2*u - 0*u for i. 5 Let w(v) = 7*v - 3. Let s(b) = -b**2. Let z(n) = s(n) + w(n). Let q be z(6). Suppose q*u - 2*u = 4. Solve -u*l + 8*l - 8 = 0, 2*r = -3*l + 6 for r. 0 Suppose -4*g = 8, -2*v + 0*g - 5*g + 40 = 0. Solve 4*n + v = -3*f - 10, -5*f - n - 30 = 0 for f. -5 Suppose -5 - 76 = -3*s. Suppose -s = -2*i + 13. Solve a - 2*k = -3*a - i, -5*k = -5*a - 25 for a. -5 Suppose -2*z - 1 - 1 = -3*l, -3*l - 5*z = 5. Suppose -4*c - m = -11, 0 = 5*c - m - l*m - 25. Solve 5 = -c*i - 3*a + 2, 5*i + a + 1 = 0 for i. 0 Suppose -4*w = 0, h - 4 + 2 = 4*w. Solve -20 = -5*x, -x + 13 = s + h*x for s. 1 Suppose 4*j = 3*h + 12, 1 + 2 = j + 5*h. Solve -4*b - 2*s - 26 = 0, 0*b = 4*b + j*s + 29 for b. -5 Suppose 4*d - 3*w + 5 = 2*d, 2*d - 4*w + 8 = 0. Suppose 4*c - 2*n - 18 = 0, 3*n + 17 = 4*c - 0*c. Let k = -2 + c. Solve d*q - x = -k, -4*x - 1 = 3*q - 2 for q. -1 Suppose -o + 44 = 3*o. Let k = 1 - -1. Suppose -4*t - 5 = k*s - 1, -t + 4*s + 17 = 0. Solve -5*m = -2*x - o + t, 4*m - 6 = 2*x for x. 5 Let o = -11 - -7. Let c be (2/o)/((-3)/30). Let u(g) = 3*g - 3. Let y be u(c). Solve -3*s + s + 2*n + 8 = 0, y = s - 3*n for s. 0 Let s = 130 + -126. Solve -2*h + 2*g = 16, 3*h + 2 = 5*h + s*g for h. -5 Let n(o) = 2*o - 6. Let a = -5 + 9. Let r be a/1*2/2. Let g be n(r). Solve 0 = -g*j + 8, 2*i + 5*j - 4*j = 2 for i. -1 Let g = -148 + 149. Solve -4 = 5*i + g, -4*q - 4*i + 16 = 0 for q. 5 Suppose 4*b - m + 16 = 0, -b - b + 10 = 4*m. Let n be (-3)/(-1) - (3 + b). Suppose -7 - 5 = -n*r. Solve 0 = 6*c - 3*c - 12, -5*c + r = -4*j for j. 4 Let r(o) = o**2 + 8*o + 9. Let u be r(-7). Let v = -15 + 26. Let m = -8 + v. Solve -z = 2*h + 7, u*h - m*z = -3*h - 1 for h. -2 Let a = 34 + -19. Solve 5*x - a = 2*x + k, -2*k = 0 for x. 5 Let o be 75/20 + (-9)/12. Solve 5*l - 3*g + 15 = 0, -2*g - 9 = 2*l - o for l. -3 Let n(r) = -r**2 - r + 6. Let q be 1 + (-2 - -2)*-1. Let d be q - (0/(-2) - -1). Let k be n(d). Solve -3*j + k = 3*x, -5 - 4 = -3*j for x. -1 Let j be 1 + 0 + 48/12. Solve -7*k + 2*k + b + 10 = 0, -28 = -k - j*b for k. 3 Let o = 3 + -3. Suppose -2*j - 4 + 0 = o, 2*s + 5*j + 4 = 0. Solve 2*d + 3*d + s*n + 13 = 0, 2 = -3*d + 4*n for d. -2 Let i = 9 - 6. Let g be (2/(-3))/((-8)/12). Let z = g - -9. Solve 2*x - 4*x + i*d = -19, -5*d = 5*x - z for x. 5 Let d(z) = z**2 + 4*z. Let u be d(-5). Let m be (0/2)/1 + -3. Let n be m/(-2)*64/24. Solve 2 = y, -u*b - n*y = -b - 8 for b. 0 Suppose 0 = 3*p - 3 - 6. Let i = p + 1. Solve 0 = -5*a - i*t - 33, -t - 9 = a + t for a. -5 Let x be ((-5)/15)/((-1)/6). Suppose y = 36 - 12. Solve 4*m + y = -4*p, 0*p = -x*p + 4*m for p. -4 Let j be (-28)/(-16) - (-2)/8. Solve a - 26 = 5*t, -23 = -j*t + 6*t - 3*a for t. -5 Suppose -2*p + p = -2. Let k be (3/3)/((-1)/(-6)). Let j = k - p. Solve -h - j*w = -7, -2*h + 3 = 5*w - 2 for h. -5 Let g(b) = 45*b + 1. Let q be g(1). Let s be 4/(-14) + q/14. Solve s*i + 5*x = -16, -19 = 2*i - 0*i + 5*x for i. 3 Suppose 0 = 13*y - 16*y + 9. Solve -5*n - 5 = -5*x, 3*x - 4 + y = 2*n for n. -2 Let o = 17 + -3. Solve -2*u = -2*v + 2, 2*v + u + u = o for v. 4 Suppose 9*m - 12*m - 2*z + 93 = 0, m + 4*z - 31 = 0. Solve 5*k - m = 4*t, -17 = -0*k - 3*k + 2*t for k. 3 Let a = 1 + -1. Let m = -26 + 41. Suppose -3*b - 13 + 19 = 0. Solve 3*q - b*o = -15, 3*q - 4*o - o + m = a for q. -5 Suppose -61 = -7*c + 3*c + k, 62 = 4*c - 2*k. Let z = -5 + c. Solve -5*a - 25 = -4*n, -z = -2*a - 3*a - 3*n for a. -1 Suppose 4*d = 2*d - 5*c + 20, -5*d + 4*c + 116 = 0. Solve -5*h + d = 0, 0 = i - 2*i + 4*h - 11 for i. 5 Let r = 76 + -61. Solve 4*l - 4*x = 5*l + r, -5*x - 21 = 2*l for l. -3 Let g be (-2 + 6)/(1/4). Let m = -10 + g. Suppose -2*t = t - m. Solve -3*u + 4 = 2*p, t*p = -4*u + 2*u + 2 for p. -1 Let k be (-3 - (-33)/9)*15/2. Solve k*i - 2*j - 3*j = -15, 3*i = -3*j + 15 for i. 1 Let g = -2 - -5. Let y = 17 + -30. Let w = y - -16. Solve 0 = w*d + 2*d + 4*n - 2, g = n for d. -2 Let l(q) = 4*q**2 + q. Let o be (1 - 1) + (0 - 1). Let v be l(o). Suppose b - 2 + 6 = v*k, 0 = k - 2. Solve 0 = h + 4*h - b*n - 10, -3*h + 2*n = -6 for h. 2 Suppose 25 - 5 = -5*c, 5*c - 5 = -5*x. Solve r + 9 = -2*p, -p + x*r = -2*p for p. -5 Let p(q) = q - 6. Let u be p(4). Let i be 1 - (u - -1 - 1). Solve -i*j = -3*x - 7*j + 13, -5*j + 24 = -4*x for x. -1 Suppose 2*o - 4*m - 16 = 0, m = o - 5*o + 14. Suppose -5*q + 3*q = -o. Let p(n) = -n - 4. Let b be p(-8). Solve 0 = -b*k, -2*j - q*k = -0*k - 8 for j. 4 Let s be (0 + -51)*5/(-15). Solve 3*m = 2*n + 11, 4*m - 4*n - s = n for m. 3 Let q(k) = 2*k - 17. Let o be q(0). Let w = o + 52. Solve -5*s + 5*y = -10 - w, -4*y = -3*s + 31 for s. 5 Let d(h) = 3*h**2 - h - 2. Let z be d(2). Suppose g + g = z. Solve -5*p = l - 16, 2*l = g*l + 3*p - 4 for l. -4 Suppose z + 12 = -45. Let h be z/(-5) + 4/(-10). Solve 0 = -l + 4*t + h, -2*l - l - 11 = -t for l. -5 Let h(j) = -j**2 - 6*j + 9. Let y be h(-7). Suppose -y*i = -6*i. Suppose i*q - q = 0. Solve 3*x + 3 = q, 2*d - 4*x - 17 + 3 = 0 for d. 5 Let h = 97 + -94. Solve -4*l + 26 = -2*p + 4*p, h*p - 3 = 3*l for p. 5 Suppose -3*q - 2*q + 4*r = 11, 5*r = -4*q + 24. Suppose t - 4 = -q. Solve 2*s - c = 7, t*s - 6*c + 4*c = 9 for s. 5 Let k(c) = c**2 - 3*c - 2. Let p be k(4). Let h(z) = z - 2. Let w be h(4). Solve 0 = w*q - 3*l, -p*l - l = -5*q - 9 for q. -3 Suppose w - 7 = -3*j + 10, -5*w + 34 = -2*j. Suppose -7*d = -w*d. Solve -h + 18 = -d*p - 5*p, -2*p + 4*h - 18 = 0 for p. -3 Suppose 4*y = -2*v - 2, 0 = 3*v - 0*v + 15. Solve y*s - 4 = 0, -2*z + 4 = -2*s - 2 for z. 5 Let n be 25/(-10)*(-1 + -1). Suppose j - 2 = 2*j. Let i = n + j. Solve 0 = -5*r + g + 1, -2*r = 4*g + i + 1 for r. 0 Suppose 4*h - q - 3 = 5, -4*h + 5*q = -8. Solve 2*y + h*z = -10, 2*z = 4*y + z + 5 for y. -2 Suppose -4*j = -0*j + 16. Let a = -3 - j. Let g be ((-4)/6)/((-3)/9). Solve n - 2*k - k = -a, -3*k = 2*n + g for n. -1
{ "pile_set_name": "DM Mathematics" }
, what is -60 - -36? -28 In base 6, what is -20155 + 4104? -12051 In base 3, what is 22221101 + 121? 22221222 In base 9, what is 17583264 - 0? 17583264 In base 14, what is b9 - -241? 31a In base 11, what is 8 - 1619a? -16192 In base 15, what is -18dd + 1dd? -1700 In base 10, what is 3941 + 55? 3996 In base 14, what is 2834 + -c? 2826 In base 15, what is 31073 + 3? 31076 In base 4, what is -331311013 - 2? -331311021 In base 9, what is -10 - -155417? 155407 In base 5, what is -10334 - -133? -10201 In base 13, what is 586 + -c44? -68b In base 13, what is -3 - -736? 733 In base 16, what is 11 - -3bab? 3bbc In base 7, what is -2343 + 2524? 151 In base 11, what is 1 + 49944? 49945 In base 6, what is -142 - -1040535? 1040353 In base 6, what is -213122 - -2? -213120 In base 14, what is 6177 - -4? 617b In base 10, what is 5 + 83704? 83709 In base 7, what is 214 + 111144? 111361 In base 12, what is 0 - 28888? -28888 In base 8, what is -13 + 41274? 41261 In base 2, what is -1111001010001 - -1101? -1111001000100 In base 5, what is -122 + -341132? -341304 In base 2, what is -1011110111001101 + -111? -1011110111010100 In base 7, what is 14130 + -14? 14113 In base 3, what is -2 - -1202011010? 1202011001 In base 3, what is -10 + -1210121220102? -1210121220112 In base 3, what is 2 - -110010200? 110010202 In base 5, what is 14431430 + 3? 14431433 In base 4, what is -11 + -11203010? -11203021 In base 16, what is -5 - 18b56? -18b5b In base 5, what is -243 - -43412? 43114 In base 12, what is 135a - 591? 989 In base 12, what is -4a49b4 + 0? -4a49b4 In base 4, what is 120110 + 3332? 130102 In base 7, what is 531263 - -114? 531410 In base 10, what is -62951 + -16? -62967 In base 7, what is 3 - -16131? 16134 In base 10, what is 94033 - 1? 94032 In base 8, what is 26136 + -1? 26135 In base 10, what is 723 - 1208? -485 In base 16, what is -2de + 7? -2d7 In base 13, what is 813c + 7? 8146 In base 11, what is 17 - -4a25? 4a41 In base 2, what is 0 - 1000010011011001? -1000010011011001 In base 5, what is -24001002 - -2? -24001000 In base 12, what is -16 + -4909? -4923 In base 11, what is 4356 - 8? 4349 In base 12, what is -158 + 127? -31 In base 8, what is -22202 - -224? -21756 In base 16, what is 57 - -a4d? aa4 In base 2, what is -1000110010111111101111 + 0? -1000110010111111101111 In base 11, what is -11aa - 26? -1225 In base 6, what is -224403 + -1? -224404 In base 4, what is 20030 - -12033? 32123 In base 8, what is 57 + -6653? -6574 In base 4, what is 2 + -212112? -212110 In base 8, what is -4 - -33453? 33447 In base 4, what is -11010 - -132132? 121122 In base 2, what is 100 + 10011001110100? 10011001111000 In base 6, what is -4430 - 20? -4450 In base 11, what is 4 + 20654? 20658 In base 13, what is 984 - -3b? 9c2 In base 5, what is -103302033 + -10? -103302043 In base 5, what is 211000033 + 3? 211000041 In base 9, what is 4 + -21264? -21260 In base 15, what is -1 + 2ea65? 2ea64 In base 11, what is 232406 - -4? 23240a In base 10, what is 803562 + -4? 803558 In base 12, what is 89141 - 17? 89126 In base 10, what is -38 + 5670? 5632 In base 5, what is -1422 - 3044? -10021 In base 3, what is 1120211 - -1020? 1122001 In base 11, what is -a059 + 0? -a059 In base 15, what is 2cc1 + -22? 2c9e In base 16, what is -13d - -ef? -4e In base 2, what is 11010011001 + 11? 11010011100 In base 15, what is 14 + -4832? -481d In base 6, what is -2 + 3354335? 3354333 In base 3, what is -1111022 - -1220? -1102102 In base 15, what is a2 - -8eeb? 909d In base 7, what is -2 + 664? 662 In base 2, what is -1101000 - 111001111111? -111011100111 In base 10, what is -43577 + -1? -43578 In base 5, what is 4 - -143422? 143431 In base 3, what is -10 + 1110212220? 1110212210 In base 14, what is 1669 - 1? 1668 In base 14, what is b + -8ac4? -8ab7 In base 15, what is 30 + e8d6? e916 In base 3, what is 1 + 121000100? 121000101 In base 16, what is -2d9d - -4? -2d99 In base 8, what is 237 - -475? 734 In base 4, what is 2301202 + 101? 2301303 In base 16, what is 22 + 3911? 3933 In base 8, what is -4 - -163107? 163103 In base 7, what is -1331 - -35? -1263 In base 8, what is 1250 - -6? 1256 In base 9, what is -34 + 57? 23 In base 9, what is -6026 + -203? -6230 In base 14, what is 106ca + 1a? 10706 In base 4, what is 212 - -1021223? 1022101 In base 6, what is 1130540 + 1? 1130541 In base 4, what is -2 + 22031131? 22031123 In base 8, what is 53557 + 3? 53562 In base 4, what is 1330033 - -1001? 1331100 In base 3, what is -101221220 + 101? -101221112 In base 5, what is 24442 - 1212? 23230 In base 3, what is -121020 - 10011? -201101 In base 7, what is -34024 + -41? -34065 In base 16, what is -4 + -3526? -352a In base 16, what is -12c - -4c? -e0 In base 5, what is 14 - 3120? -3101 In base 6, what is -2151 + -340? -2531 In base 6, what is 543223 + 0? 543223 In base 11, what is -3 + 10789? 10786 In base 13, what is 62571b + 0? 62571b In base 4, what is -130032 + 23? -130003 In base 4, what is 11201 + -1? 11200 In base 4, what is 22232002 - -2? 22232010 In base 6, what is 5 - 35145304? -35145255 In base 13, what is b8b + -433? 758 In base 11, what is 760 - 47? 714 In base 13, what is -392b5 + -3? -392b8 In base 5, what is 12303 + 103? 12411 In base 12, what is 2488 + b? 2497 In base 9, what is -4 + -8240? -8244 In base 2, what is 1101 - -10010010000000? 10010010001101 In base 3, what is 2211021 - 1221? 2202100 In base 5, what is 221222 - 30? 221142 In base 6, what is -54455121 + 5? -54455112 In base 14, what is 24c5a5 - 3? 24c5a2 In base 11, what is -130 + 3896? 3766 In base 10, what is -13 + 35537? 35524 In base 11, what is 6330 - a? 6321 In base 14, what is -245 - 50? -295 In base 15, what is -2d273 + -b? -2d27e In base 2, what is 10011100111001 - 1001? 10011100110000 In base 10, what is 16 + -138841? -138825 In base 5, what is 324 - -111? 440 In base 16, what is 893f - -1? 8940 In base 2, what is 1000001010111 + 10010011? 1000011101010 In base 10, what is -147 + -1906? -2053 In base 16, what is -16c + -166? -2d2 In base 7, what is -23 + -13335? -13361 In base 15, what is 50 + 836? 886 In base 4, what is -3 - -1100131? 1100122 In base 5, what is 44442044 - -1? 44442100 In base 4, what is 102103 + -1332? 100111 In base 14, what is 69d + -56c? 131 In base 5, what is 13 + -2202333? -2202320 In base 7, what is -616 + 20? -566 In base 4, what is -1012001111 - 11? -1012001122 In base 9, what is 12 - 40482? -40470 In base 16, what is -5159 + -2? -515b In base 8, what is 115112 + -1? 115111 In base 2, what is 11101 - 10011110001? -10011010100 In base 10, what is -27 - 17759? -17786 In base 13, what is aa4 + -1b8? 8b9 In base 4, what is -1313 - 1002030? -1010003 In base 2, what is 101 + 1010111100010110? 1010111100011011 In base 9, what is 4 + 74811? 74815 In base 13, what is 350c + -1a? 34c2 In base 10, what is 46 - 603? -557 In base 4, what is -1323120 + 320? -1322200 In base 5, what is -100040014 - 1? -100040020 In base 4, what is -110032221 + 0? -110032221 In base 14, what is 1 + 3357? 3358 In base 8, what is 35 + 7363? 7420 In base 9, what is 10 - 1318218? -1318208 In base 7, what is -1406 + 235? -1141 In base 2, what is -101 + 1001001001100100100? 1001001001100011111 In base 15, what is -11 + -5b8? -5c9 In base 14, what is 3 + -317? -314 In base 6, what is -220255 + 100? -220155 In base 11, what is 6 + -289? -283 In base 15, what is 4 + 1d5? 1d9 In base 13, what is -734b - -6? -7345 In base 2, what is 1000010 - -110010100001011? 110010101001101 In base 14, what is 25ca9 + -1? 25ca8 In base 2, what is 1110010 + -10111000? -1000110 In base 15, what is c3d88 - 4? c3d84 In base 12, what is -40244 - -3? -40241 In base 7, what is 1 + 53415? 53416 In base 11, what is 49 + -15944? -158a6 In base 8, what is -112403 - -50? -112333 In base 5, what is 24323243 + -4? 24323234 In base 7, what is -21 - 13102? -13123 In base 7, what is 1501435 + -1? 1501434 In base 5, what is -20342441 - 2? -20342443 In base 14, what is 83259 - -4? 8325d In base 13, what is 35 + -1ac9? -1a94 In base 11, what is 72 + -703? -641 In base 14, what is -5 + -36cc? -36d3 In base 13, what is 164 + -2432? -229b In base 13, what is a8070c + -3? a80709 In base 12, what is -10 - -20a25? 20a15 In base 15, what is 89aa + -c7? 88d3 In base 13, what is 1ccc7 - 3?
{ "pile_set_name": "DM Mathematics" }
1? 42/145 Which is bigger: 3/14 or 23? 23 Which is greater: 16240 or 1? 16240 Which is bigger: -2843 or 0.1? 0.1 Is 3 at most -51? False Which is greater: -187/6 or -31? -31 Which is greater: -806 or -810? -806 Which is greater: 101 or 39? 101 Does 0 = 2/863? False Which is smaller: -560 or -561? -561 Which is bigger: -109/36 or -3? -3 Is -5.29 greater than 1? False Is 1/6 bigger than 468? False Which is smaller: -2/25 or 166? -2/25 Is -950 smaller than 0? True Which is smaller: -1166 or 2/13? -1166 Which is smaller: 2/55581 or 1? 2/55581 Which is smaller: -354 or 30? -354 Which is smaller: 1 or -12/3793? -12/3793 Is -19 at most as big as -5.8? True Is 0 less than 15/92? True Which is smaller: 4216 or 4217? 4216 Is -20 >= 369? False Which is smaller: -12.09 or -0.1? -12.09 Is 272 smaller than 266? False Which is smaller: -30 or -388/13? -30 Which is bigger: 632/3 or 212? 212 Which is smaller: 5/268 or -1? -1 Which is bigger: -90 or 3? 3 Which is smaller: -2/2533 or 1? -2/2533 Is -105 smaller than -112? False Which is smaller: 1/26 or 0? 0 Which is greater: -862 or -3? -3 Is -93 greater than -469/5? True Which is smaller: 4622 or 4619? 4619 Which is greater: 133 or 132? 133 Is -0.0014 smaller than -1/2? False Which is smaller: -1/4 or -11? -11 Which is smaller: 14 or -4? -4 Which is bigger: 0.229 or -1? 0.229 Which is smaller: 6 or 21? 6 Is 184 at most as big as 185? True Is -178 at least -1/4? False Is 50 >= 27? True Which is smaller: -248/7 or 1/3? -248/7 Is 3/16 less than or equal to 1? True Are -0.1 and 7 unequal? True Which is bigger: 0.7 or 0.73? 0.73 Which is bigger: -436.9 or 3/7? 3/7 Which is smaller: 1031 or 1033? 1031 Which is smaller: -1 or 3/1298? -1 Is -1 less than or equal to -1/924? True Are 1 and 34/93 non-equal? True Which is smaller: 97/26 or 4? 97/26 Are -361 and -361 non-equal? False Which is smaller: -2 or -14? -14 Which is greater: -2/13 or -2/31? -2/31 Which is greater: 671 or 672? 672 Is 2/3017 bigger than -1? True Is -7/55 equal to 0? False Which is smaller: -5 or -23? -23 Is -11/157 at least 0? False Is -1592 at least 1? False Is 946 < 945? False Is 152 <= 154? True Does 2/219 = 0? False Which is smaller: 665 or 643? 643 Which is greater: -1621 or -1? -1 Are 6496/3 and 2164 equal? False Does 42112 = 42112? True Which is greater: -85 or -81? -81 Which is bigger: -14 or -46/3? -14 Which is greater: 28 or 534/19? 534/19 Is 686/15 greater than 0? True Are -111 and -121 non-equal? True Which is smaller: -2495 or -2493? -2495 Which is smaller: -0.1 or 22/115? -0.1 Is -4 equal to -298/57? False Do 12895 and 12895 have different values? False Is -1293 less than 0.3? True Are 5234 and 5234 equal? True Which is smaller: 31 or 220/7? 31 Which is smaller: -255 or -257? -257 Which is bigger: 199 or -30? 199 Which is smaller: 2/61 or -1? -1 Which is bigger: -26/21 or -2? -26/21 Which is greater: 2 or -6/5? 2 Is 0 <= 1/868? True Which is smaller: 3467 or 3470? 3467 Which is greater: -3110 or -3109? -3109 Are -4 and 1/1092 non-equal? True Is -1143 smaller than -1144? False Which is greater: 4019 or 4023? 4023 Do 3376 and 3377 have different values? True Are 1/10886 and 1 non-equal? True Is 0 < -2/4887? False Which is smaller: 0 or -1/45? -1/45 Which is smaller: -1 or -3/724? -1 Does -4/91 = 0? False Which is bigger: 207/55 or 5? 5 Which is smaller: -28/99 or 1? -28/99 Which is smaller: 153.09 or 0.3? 0.3 Which is smaller: -50 or -60? -60 Which is smaller: 464/11 or 41? 41 Which is smaller: 12/823 or 1? 12/823 Is 2 bigger than 5251? False Which is bigger: 928 or 929? 929 Which is smaller: -259 or 1/3? -259 Which is smaller: 1136 or -2/5? -2/5 Do -20 and -28 have the same value? False Is 6 < -2/27? False Which is bigger: -11 or -450? -11 Are 90 and -1 nonequal? True Which is smaller: 1 or 2/1133? 2/1133 Is 15 greater than or equal to 54? False Which is smaller: 0.013 or -10? -10 Which is smaller: 4/69 or -1? -1 Is -43 smaller than -70? False Which is greater: 0.2 or 3.32? 3.32 Which is smaller: -0.53 or 0.3? -0.53 Which is smaller: 0.1 or 36/7? 0.1 Which is smaller: 2/43 or 17? 2/43 Is 182 > 186? False Is -1 greater than -0.14444? False Is -26 at least -25? False Is 5/271 smaller than 1? True Which is smaller: -60/79 or -1? -1 Are -6/18211 and -1 non-equal? True Is 9.25 less than -0.2? False Is -1 at most as big as 5/33? True Are 516 and 522 equal? False Which is bigger: 1 or 1/68? 1 Is 342/371 at least as big as 0.1? True Which is smaller: 3.4 or 0.01? 0.01 Which is bigger: -5333 or -5335? -5333 Is 1/214 != 0.5? True Which is smaller: 924 or 931? 924 Is -5 not equal to -46/9? True Is 44 < 42? False Does -2.3 = -2/301? False Is -2676/11 greater than -242? False Are -32 and -28 equal? False Which is smaller: 351/43 or 8? 8 Is 353 at least as big as 355? False Is 68/5 equal to 31? False Is -34 greater than -1/3? False Which is bigger: 436/5 or 86? 436/5 Do 152 and 0.6 have different values? True Which is bigger: 0.37 or 0.07? 0.37 Is 1199 smaller than 1201? True Which is bigger: 1601 or 1604? 1604 Are -6631 and -6632 unequal? True Are -1/78 and 0 nonequal? True Are 1 and 1/515 nonequal? True Do 0 and -1/6400 have the same value? False Is -130 less than or equal to 5/6? True Which is bigger: -0.2637 or 0.2? 0.2 Is 9068 bigger than 1? True Which is smaller: 4063 or 4067? 4063 Is -1198 != -1200? True Which is greater: 1/4 or 1812? 1812 Which is smaller: -117 or -118? -118 Do 0.15 and 0.971 have the same value? False Which is smaller: 0 or 4/1155? 0 Is -42 < -51? False Is -1/3 less than or equal to -11/3? False Are -0.254 and 2/5 unequal? True Is 50 at least as big as 0? True Are -68 and -53 unequal? True Which is bigger: -972/23 or -41? -41 Which is greater: 0.1 or 143? 143 Which is smaller: -6925 or 1/4? -6925 Is 185 at least -0.1? True Which is smaller: 1 or 865? 1 Is -1 at least as big as 1/11279? False Is 0 >= -952? True Is 1/293 greater than 1? False Is -147 smaller than -145? True Is -345.1 at most as big as -0.05? True Are -1 and 1/33 non-equal? True Which is smaller: 0 or -3024? -3024 Which is bigger: 2/2955 or 1? 1 Which is greater: 0.3 or 6641? 6641 Is -1 at most as big as -91/87? False Which is greater: -3551/2 or -1776? -3551/2 Which is bigger: 152 or 457/3? 457/3 Is 127/6 at least 21? True Which is smaller: -1 or -1/22328? -1 Is 2 less than or equal to 9/4? True Is -526 at most as big as -526? True Is 0 <= -1/699? False Is -134 greater than -134? False Which is smaller: 271 or 0.5? 0.5 Which is bigger: 0 or 2/111? 2/111 Are -880 and -881 nonequal? True Which is smaller: 2 or 7? 2 Which is bigger: -3 or 13? 13 Which is smaller: -9905 or -9906? -9906 Is 227 greater than or equal to 1367/6? False Which is smaller: -962 or -964? -964 Which is smaller: 1 or 98/99? 98/99 Is -2/31 at least as big as -53? True Is -2572 equal to -2572? True Which is smaller: 577 or 575? 575 Which is greater: 2/5 or 106? 106 Do -184 and -184 have different values? False Do 0 and 5/268 have the same value? False Which is smaller: 0 or 482/17? 0 Which is bigger: -1 or -1/7176? -1/7176 Which is smaller: 2/27 or -79.8? -79.8 Which is smaller: -3192 or -3188? -3192 Which is smaller: -4 or 97? -4 Which is greater: 158/13 or 11? 158/13 Which is bigger: 0.26 or -48? 0.26 Is 3657 > 3654? True Which is smaller: -7256 or -7254? -7256 Are 7488 and 7493 unequal? True Are 436 and 432 non-equal? True Is -948 <= -955? False Which is bigger: -5 or -35/8? -35/8 Is 110 greater than 0.1? True Which is bigger: 225 or 221? 225 Which is smaller: 35/29 or 2? 35/29 Which is greater: -2 or -0.0402? -0.0402 Which is greater: -14 or -2? -2 Which is bigger: -281 or 120? 120 Which is bigger: 1/16 or -4/11? 1/16 Which is smaller: 28 or 31? 28 Which is greater: -1/12739 or -1? -1/12739 Which is smaller: -26 or 13? -26 Is 0 less than or equal to -1/2476? False Does 55 = 57? False Is -34/25 bigger than -1? False Is -4680 != -4680? False Is 19 at least as big as 16? True Does 1183 = 5911/5? False Which is bigger: -49 or -47? -47 Which is bigger: -276 or -277? -276 Is 0 greater than or equal to -1/2403? True Which is smaller: -9 or -0.091? -9 Is -0.1 equal to -17354? False Is -12/11 <= 50? True Is -556 != -556? False Are 2/3 and -33 equal? False Is 8 != -24? True Is 63 < 63? False Wh
{ "pile_set_name": "DM Mathematics" }
+ 258 = 0. Let l be n/18*56/(-6). Let h = l + 123. Is h a prime number? True Suppose 0 = 4*x - 3*w - 0*w - 14, 3*x - 3*w = 9. Suppose 4*o - o + x*p - 371 = 0, 4*o - 510 = p. Is o a prime number? True Suppose -2*l + k + 4 = -8, -16 = -2*l + 2*k. Suppose -l*i = m - 526, -4*i = -0*i + 5*m - 534. Is i composite? False Suppose 60 - 662 = -2*m. Suppose 2*s - m = 1497. Is s composite? True Let r(k) = -k**2 + 5*k + 6. Let z be r(7). Let d = z + 10. Let a(b) = 5*b**2 - 1. Is a(d) composite? False Let p(d) = d**2 + d + 24251. Is p(0) composite? False Suppose -3*t = 4*n - 20, 0 = 5*n + 5*t - 17 - 13. Let a(i) = i**2 - 3*i. Let l be a(n). Is l/(-4)*34 - 2 composite? True Let y be (-1*(-12)/8)/(6/16). Suppose 5*i - 24365 + 2992 = -y*w, -i = -2*w + 10697. Is w prime? True Let u be (-15)/3*(-7)/7. Is (-11640)/(-110) - u/((-55)/2) a prime number? False Suppose 699 = s - 82. Is s a prime number? False Suppose -4*x + 4*t - 5*t + 8992 = 0, 3*x + 3*t - 6735 = 0. Is x composite? True Let q(j) = -j**3 + 5*j**2 + 3*j - 3. Let f be q(8). Let o be (332/5)/(3/15). Let z = f + o. Is z prime? False Suppose 0*j - 120 = -10*j. Suppose -j*x + 4860 = 408. Is x prime? False Let g = 31698 + -16271. Is g prime? True Let j be 6 - (-1 + 1 + -3). Let v(x) = -x**2 + 8*x + 9. Let h be v(j). Suppose h = -3*y + 3*q + 237, -y - 390 = -6*y + 4*q. Is y prime? False Suppose 3*j - 2*x = 14786 - 3401, 0 = j + 5*x - 3778. Is j a composite number? False Suppose -14*j - 2937 + 95827 = 0. Is j composite? True Suppose -22*y + 346120 = 18*y. Is y composite? True Let t(u) = 258*u**2 - 11*u + 26. Is t(5) a prime number? True Let d = 1 + 8. Suppose -2*o = 0, 5*o - o = 3*x - d. Is 3/1 + x + 1051 composite? True Let x be 7488/112 + 1/7. Suppose 3198 = -x*p + 73*p. Is p a prime number? False Let w = 123 - 554. Suppose 4*y = 3*y + 5*u - 775, 3*y + u + 2277 = 0. Let f = w - y. Is f a composite number? True Let z = -18 - -24. Let r(v) = -v**3 + 6*v**2 + 2. Let i be r(z). Is (-3025)/(-10) + (-3)/i composite? True Let n = 9767 - 5124. Is n a composite number? False Is (10586 - 0)*16/32 prime? False Let y(i) = -2*i + 3. Let r be y(4). Let q(s) = -3*s**3 - 3*s**2 - 8*s - 5. Let g be q(r). Suppose 3*h = 8*h - g. Is h composite? False Let u = -436 - -253. Suppose 2*p = -3*g - 1094, 2*p = -3*g + 4*p - 1114. Let i = u - g. Is i composite? True Let g = -119 - -124. Let a(s) = -s**2 - 7*s - 2. Let x be a(-6). Suppose x*r - g*r + 19 = 0. Is r a prime number? True Let o be (28/8)/((-3)/(-18)). Is ((-20)/4 - o)*11/(-2) prime? False Let t = 6402 + -4307. Is t prime? False Let t(p) = 40*p**3 - 6*p**2 - 12*p - 23. Is t(7) prime? False Let s(m) = m**2 - m. Let x(c) = c**2 - c. Let a(i) = -3*s(i) + 2*x(i). Let y be a(0). Is -3*(y + -46 - -3) a composite number? True Let u = 4973 + 1166. Is u a composite number? True Suppose -134 = h - 2*h. Suppose -455 = 3*q - h. Let z = q - -586. Is z prime? True Let d(l) = 4*l**2 - 23*l + 38. Let h be d(2). Suppose 5313 = 3*z - 2*i, -5*z + 3*i = -i - 8853. Suppose f = -4*r + z, 4*r + 2*f = h*r - 1770. Is r composite? False Suppose 14 = -3*p + 35. Let i(k) = -k**2 + 10*k - 6. Let a be i(p). Let t = 64 - a. Is t prime? False Let k(d) be the first derivative of 23*d**3 - 2*d + 10. Is k(-1) a composite number? False Let k(g) = -16*g**2 - 2*g + 9113. Is k(0) composite? True Let r(f) = -3*f - 3. Let y be r(-2). Let g be 1*(-1 + y) - -9. Suppose -g = z - 46. Is z a composite number? True Let s = -2 - -6. Suppose 2*o - 3*o - 23 = -5*d, -4*o + s*d - 12 = 0. Suppose 2*f - 159 = 5*r, -4*f + 3 = -o*r - 339. Is f a composite number? True Is (-1892470)/(-34) - (-4)/34 prime? True Let a(q) = 1163*q + 7 - 7. Is a(1) composite? False Let w(h) = 21*h - 36. Let q(m) = -62*m + 109. Let n(o) = 2*q(o) + 7*w(o). Is n(15) a prime number? True Let r(c) = 11443*c**2 - 31*c + 1. Is r(1) a prime number? False Suppose 17549 = -7*i + 30*i. Is i a prime number? False Let o(x) = 164*x + 2 - 7 + 6 - 8. Is o(1) a prime number? True Suppose -776*s + 230321 = -763*s. Is s prime? False Suppose -28*y - 24 = -32*y. Let n(o) = 6*o + 35. Is n(y) prime? True Suppose 0 = u + 9 - 5. Let m be (u/(-10))/((-6)/(-30)). Suppose -104 - 330 = -m*c. Is c a prime number? False Let q(w) = -17*w + 10 + 6*w**2 + 6*w + 9*w**2 - 1. Is q(7) composite? True Suppose 0 = 30*g - 31*g + 7. Suppose 23987 + 4790 = g*p. Is p a prime number? True Let w(z) = z**3 - z**2 + 401. Let x be w(0). Let n = 255 - x. Let p = -81 - n. Is p a composite number? True Suppose -4*r + 5*q = -0*r - 1317, 2*r - 652 = -4*q. Let u(d) = 53*d - 7. Let y be u(-2). Let k = r + y. Is k composite? True Let d(m) = -326*m - 127. Is d(-16) prime? False Suppose 12*m = -6223 + 61675. Is m a composite number? False Let k(o) = 8*o**2 + 8*o + 9. Is k(10) a prime number? False Suppose 0 = -3*c - 0*c + n + 28, -4*c = 2*n - 44. Let v(m) = -c + 3 - 9*m - 1. Is v(-7) prime? False Let p be (5/(-4))/(1/(-44)). Let g = 81 + p. Let k = -25 + g. Is k a prime number? False Let c be 4/16*4 - -388. Suppose r - 147 = -5*f, -4*f + 2*f + c = 3*r. Is r a composite number? False Let j(p) = 28*p**2 - 9*p + 7. Is j(-10) a prime number? True Is (-1)/(1 - 11016/11010) a prime number? False Suppose -4*s + 4161 = -s. Let z = s - 714. Is z a prime number? True Is -1*3/1 - -5926 prime? True Let g(b) = 3484*b**2 + 16*b - 5. Is g(2) a composite number? False Suppose 5*t - 3*z - 28 = 0, z = -4*t - t + 24. Suppose -t*j - 2*j + 1477 = 0. Is j prime? True Let g(s) = s**3 + 9*s**2 + 5*s. Let z(n) = n**3 + 9*n**2 + 4*n - 1. Let b(f) = -5*g(f) + 6*z(f). Let p be b(-9). Suppose 61 = p*r - 386. Is r a prime number? True Let r(x) = 48*x**2 + 18*x + 5. Is r(-4) a prime number? True Let j be 6*3*-1*(-2)/6. Suppose j*x = 5347 + 3047. Is x prime? True Let t(d) = -34*d + 5. Suppose 0*k + 5*k + 65 = -5*r, -4*k = -r + 72. Is t(k) a prime number? False Suppose -97*v = -93*v - 20. Is (30/9)/v + 9507/9 prime? False Let x(g) = -g**2 - 8*g + 7. Let u be x(-9). Let v(h) = -14*h**3 + h - 1. Let w be v(u). Suppose -5*r + 606 = -w. Is r prime? False Let t(b) be the third derivative of -4*b**4/3 - b**3/6 + 19*b**2. Is t(-1) a prime number? True Let d = 47 - 47. Suppose -7*g + d*g + 16331 = 0. Is g a prime number? True Suppose 7*z = -811 + 2127. Suppose -5*v + z = -277. Is v a prime number? False Suppose -132 + 408 = 6*v. Let p = v - 39. Is p prime? True Suppose 0 = 3*s - 720 - 267. Is s composite? True Suppose -26*b + 29*b - 295215 = 5*l, 0 = -5*l. Is b a composite number? True Suppose 0 = 2865*i - 2857*i - 78808. Is i a prime number? True Is (7925988/7)/6 - (-3)/(-3) a composite number? True Let k(r) = -2*r**3 + 9*r**2 - 19*r + 37. Is k(-20) composite? True Suppose 0 = 6*d - 8*d + 90106. Is d a prime number? True Suppose 5*x = -4*h + 5, -10 + 4 = 2*x. Let o be 2 + (-38)/(-2) - 1. Suppose -o = h*s, 0 = -4*y + s + s + 268. Is y prime? False Suppose 0 = -4*o - 4*s + 10300, 5*o + 73*s - 12879 = 69*s. Is o a prime number? True Suppose 3*x - 8091 = -6*x. Suppose -6*q + 1465 = -x. Is q composite? True Let n = -1284 - 8. Let h = n + 1927. Is h a composite number? True Let m(o) = 220*o - 207. Is m(35) composite? True Suppose 0*r - 5 = -r. Suppose -r*h + q + 3754 = 0, 0*h + 5*q - 756 = -h. Is h prime? True Let g(x) = 1946*x**2 + x + 4. Is g(-1) a prime number? True Is 21723 - (39 + -9)/3 a composite number? False Let p(c) = -c**2 - 9*c - 14. Let n be p(-9). Is ((-26)/4)/((3/n)/3) prime? False Suppose 36*g - 39*g = -73389. Is g composite? True Let q = -3929 + 9082. Is q a prime number? True Let t = -22 - -24. Suppose t*l + 2 = l. Is 83 + (4/l - -2) prime? True Let g(c) = 1529*c + 15. Let x be g(2). Suppose 6*w + x = 11395. Is w prime? False Let x be (-37 + 1)*(35/(-15) + 2). Suppose x*w = 10*w + 62. Is w composite? False Let b(p) = -p**3 + 19*p**2 - 19*p - 22. Let o(a) = a + 17. Let u be o(0). Is b(u) prime? True Let g = 2587 - 390. Suppose 0 = z - g - 1446. Is z prime? True Let i = 140 - 137. Suppose -i*u + 369 = 5*y - 273, -2*y = -3*u + 663. Is u a composite number? True Suppose h - 4*r = -22 + 57, -2*h + 25 = r. Let a be (h + 0)/(11 - 8). Suppose -2*d = -q - 52 + 324, -269 = -q + a*d. Is q a prime number? False Let o(v) = 57*v**2 + 4*v + 13. Is o(-6) a prime number? False Let r(x) = 118*x**2 + 13*x + 57. Is r(-6) prime? False Let p(a) = 3*a -
{ "pile_set_name": "DM Mathematics" }
i**3 + 9*i**2 - 10*i + 3. Let a(m) = m**3 + m. Let j(b) = 6*a(b) + p(b). Let r be 46/(-6) + 6/9. Let c be j(r). Round c to the nearest 10000. 100000 Let z = -8.2 - -8.2298. Round z to three decimal places. 0.03 Let k = 57.4272 + -0.1272. Round k to the nearest ten. 60 Let b = 4.440589 + -4.8905823. Let o = 9 + -9.45. Let c = o - b. Round c to six dps. -0.000007 Let j = 23 + -18. Let h be 14760/10 - (1 - j). What is h rounded to the nearest 100? 1500 Let m = -15539.5687 + 15542. Let g = m - 2.453426. Let z = -0.022 - g. Round z to 5 dps. 0.00013 Let f = -1.7 + 1.87. Let r = f + -0.169982. What is r rounded to five dps? 0.00002 Suppose -f + 5*i = 2*f - 35, 4*f - i = 24. Suppose f*b = b - 13200. Round b to the nearest 1000. -3000 Let x be (-3 + 8/3)*-6. Let m(y) = -2 + 3*y - 11*y**2 + 11*y**2 - 513*y**3. Let a be m(x). What is a rounded to the nearest 1000? -4000 Let y(l) be the first derivative of -l**2/2 + l + 2. Let r be y(1). Let f be 1 + (r - 0) - 4200001. What is f rounded to the nearest 1000000? -4000000 Suppose -4 = 4*p + 4*k, -3*k + 3 = -2*p + 21. Let q be (-10198)/(-2) + (4 - p). What is q rounded to the nearest 1000? 5000 Suppose 8577291 = 2*o + 3265931. Let q = o - 6083729. Let l = 1528049 + q. What is l rounded to the nearest one million? -2000000 Suppose 3*b = -0*l + 3*l + 4563, -4*b - 4*l + 6076 = 0. Round b to the nearest one hundred. 1500 Let m be (-6)/4 + (-11759964)/24. Round m to the nearest one hundred thousand. -500000 Let n = 50 - 20. Suppose 3*v - n = -5*y + v, -4*y - 4*v + 36 = 0. Suppose -y*w = -7*w - 2760000. What is w rounded to the nearest one hundred thousand? -900000 Let p = 27.84 + -28. Let s = 0.1599995 + p. Round s to six dps. -0.000001 Let x = -0.05 - 0.014. Let y = x + 0.064037. What is y rounded to five decimal places? 0.00004 Let i = 87266.4 + -87267.4999952. Let j = -1.1 - i. What is j rounded to six dps? -0.000005 Let i = 6 + -11. Let c(x) = -75601*x - 7. Let l be c(i). Let t be (-4)/14 + l/(-7). Round t to the nearest ten thousand. -50000 Let b(h) = -3*h + 3. Let l be b(-3). Let r(j) = l*j**2 + 3*j - 2*j + 1 + 15*j**2. Let y be r(-1). What is y rounded to the nearest 10? 30 Let u be 1*-2 - 18/(-3). Suppose 0 = -4*k + 2*k + u. Suppose 0 = -k*g + 4*g + 6. Round g to the nearest integer. -3 Let v = -44 + 48.8. Let t = v - -16.2. Let f = -21.91 + t. What is f rounded to one dp? -0.9 Let d = -32630.03 + 32395. Let c = 234 + d. Round c to 1 dp. -1 Let i = -79335 + 132335. What is i rounded to the nearest 10000? 50000 Let s = -195.93 - -194. Let i = -2.7 - s. Round i to one decimal place. -0.8 Let v = 7 - 6.9999985. What is v rounded to 6 decimal places? 0.000002 Suppose -3798 + 102 = 4*k. Let o = k - -264. What is o rounded to the nearest 100? -700 Let s be (1/(-1) - 0) + 6. Suppose s = 3*v + 11. Let y be (6 + 25)*v/(-2). Round y to the nearest ten. 30 Suppose -2864 = 6*x + 1078. What is x rounded to the nearest one hundred? -700 Let z = 7.6168 - 678.3128. Let a = z + 671.6959952. Let g = a - 1. What is g rounded to six dps? -0.000005 Let o = 18.95 + -18. What is o rounded to 1 dp? 1 Let l = -48.092 + 48. Round l to 2 decimal places. -0.09 Let v(b) = 35*b - 817*b - 43*b. Suppose 5*m - 8 = 6*m. Let w be v(m). Round w to the nearest 1000. 7000 Let j = -77 + -42. Round j to the nearest one hundred. -100 Let d = -187.99 + 187. Let f = 1 + d. Let h = 0 - f. What is h rounded to 2 decimal places? -0.01 Let n = 3.7 - -1.5. Let w = n - 5. Let r = -0.1999998 + w. What is r rounded to 7 dps? 0.0000002 Let r = 0.422 - 2.412. Round r to one dp. -2 Let m be (-156250)/20*(-640)/1. What is m rounded to the nearest 1000000? 5000000 Let t = -195.99 - -197. Round t to 1 dp. 1 Let s(t) = -11*t**3 + t**2 - 3*t - 2. Let c be s(-4). Round c to the nearest 100. 700 Let h = -35.8 + -5.2. Let s = 85 + h. Let r = s - 44.00000023. Round r to 7 decimal places. -0.0000002 Let g = 71 - -53. Let s = g + -124.69. Round s to one dp. -0.7 Let h = -2 + 1.993. Round h to two dps. -0.01 Suppose 0 = -3*l - y + 24, 7 = 2*l + 4*y + 1. Suppose l*z - 7*z - 520000 = 0. Round z to the nearest 100000. 300000 Let a be -2 + 5 - (1 - 1). Suppose a - 18 = 5*m. Let n(u) = 167*u + 1. Let q be n(m). Round q to the nearest one hundred. -500 Let f = 0 + 10. Let o = f - -8. Let j = -18.00000035 + o. What is j rounded to 7 decimal places? -0.0000004 Let k(q) be the first derivative of 14443*q**3/3 - 4*q**2 + 4*q - 3. Let y be k(-6). Suppose a = -a - y. What is a rounded to the nearest one hundred thousand? -300000 Let l = -153.18 - -151. Let s = l + 2.9. What is s rounded to 1 decimal place? 0.7 Suppose -2*j - 363 - 2397 = 0. What is j rounded to the nearest 100? -1400 Let q(t) = -2*t - 8. Let u(n) = -n**2 + 3. Let p be u(3). Let m be q(p). Suppose 1450000 = -f - m*f. Round f to the nearest 100000. -300000 Let m = 67 - 67.0018. What is m rounded to three decimal places? -0.002 Let b(c) = 101495*c - 10. Let a be b(-2). What is a rounded to the nearest ten thousand? -200000 Let x = -2.85 - -3. Let y = -0.1396 + x. Let t = y - 0.015. What is t rounded to 3 decimal places? -0.005 Let k be (-42)/(-4)*(2 - -56). Let m be (k - (-6)/(-3)) + 1. Let g be m/((-756)/375 + 2). What is g rounded to the nearest 10000? -40000 Suppose -5*k - 14 - 11 = 0, -3*c - 11095 = -k. What is c rounded to the nearest 1000? -4000 Let t = 9.5 + -9.50047. What is t rounded to 4 dps? -0.0005 Let w = 13 - 23. Let h = w + -32. Let q = -41.999961 - h. Round q to five decimal places. 0.00004 Let o(r) = 1001*r + 3. Let u be o(-3). What is u rounded to the nearest 1000? -3000 Let b = 11 - 6. Suppose -3*u - b*d - 129 = 0, -2*u - 31 = 5*d + 60. What is u rounded to the nearest ten? -40 Let i = 63 + -381. Let m = i - -324.04. Let n = -0.16 - m. Round n to 0 dps. -6 Let k = -6 + -1. Let t(d) = d**3 + 5*d**2 - 9*d + 6. Let g be t(k). Let u = 0 + g. What is u rounded to the nearest ten? -30 Suppose 2*p - 12 = 6*p, 2*p - 610 = -4*h. Round h to the nearest ten. 150 Let m = 0.76332 - 0.854399. Let i = -0.174 + 0.265. Let r = m + i. What is r rounded to five decimal places? -0.00008 Let q(i) = -i - 3. Let y be q(-7). Suppose -g = 2*v - 539994, y*g + 2*v - 7*v = 2160015. Round g to the nearest one hundred thousand. 500000 Let r(z) = z**3 - z**2 - z + 1. Let c(l) = -2*l**3 + 6*l**2 + 4*l + 6. Let i(d) = -c(d) + 6*r(d). Let f be i(10). What is f rounded to the nearest 1000? 7000 Let a(s) = -10*s + 17*s + 33*s. Let m be a(-1). Let j = 7 + m. Round j to the nearest ten. -30 Let f = -34.000068 - -34. What is f rounded to five decimal places? -0.00007 Let b = 404338695 - 404338721.99999895. Let c = -24 - 3. Let p = b - c. Round p to 7 dps. 0.0000011 Suppose 0 = 23*d - 26*d - 1974. Round d to the nearest one hundred. -700 Let i = -321 - -267.2. Round i to the nearest 10. -50 Let s = -0.44 + 0.82. Round s to one dp. 0.4 Let x be (-2)/((-5)/((-45)/(-6))). Suppose -2*p = x*p + 135. Let i be (-716)/(-18) - 6/p. Round i to the nearest 10. 40 Let x be ((-1500)/(-36))/((-1)/(-1416)). Round x to the nearest 10000. 60000 Let l = -30.00078 - -30. Round l to four dps. -0.0008 Let z = -0.4 + 4.6. Round z to 0 dps. 4 Let x = -56.906 - -57. Let d = x - 6.994. What is d rounded to zero dps? -7 Let f = 0.11999995 + -0.12. Round f to 7 dps. -0.0000001 Let c be 16/(-3) - 1/(-3). Let q(b) = b + 7. Let w be q(c). Suppose h - p + 700000 = 0, -3*h - 2800000 = h + w*p. Round h to the nearest 1000000. -1000000 Let g be (-27)/(-36) + (-1648006)/8. Round g to the nearest 10000. -210000 Let j = -150.2 + 1214.1. Let w = j - 1062.9581. Let y = -0.95 + w. What is y rounded to 3 decimal places? -0.008 Let p = 60966721 - 60966701.9999982. Let t = p - 19. What is t rounded to six dps? 0.000002 Let q = -454 + 453.6008. Let c = q + 0.4. What is c rounded to 3 decimal places? 0.001 Let c = 9.976 + -9. Let a = -1 + c. What is a rounded to two dps? -0.02 Let g = -14.7 - 2.3. Let p = g - -17.0072. Round p to 3 decimal places. 0.007 Let d = 7 + -5.6. Let g = d - 1.400044. What is g rounded to five decimal places? -0.00004 Let j = 1730809.99865 + -1730845. Let g = -35 - j. Round g to 4 dps. 0.0014 Let w = -0.85 - -1. Let y = 1 + -0.9. Let d = y - w. Round d to one dp. -0.1 Let l = -21.1 - -25. What is l rounded to the nearest integer? 4 Let g(m) = -m**3 - m*
{ "pile_set_name": "DM Mathematics" }
r f. 2 Suppose 117 = -2*m + 123. Solve 3*y - 13 + 2 = -b, -19 = -4*y + m*b for y. 4 Suppose 2*p + l - 411 = 0, 2*l - 5 - 1 = 0. Suppose -5*a = -2*a - p. Suppose 4*o - 44 = a. Solve -5*q - 27 = -7, -4*y - o = 3*q for y. -4 Let v(k) = 38*k + 619. Let f be v(-16). Solve f = 5*u + 4*m, -2*u + m = 4*m - 3 for u. 3 Suppose 0 = -2*w - y + 2, -2 = -y + 2*y. Let d be (-3)/12*w*-4. Suppose -h = -3*o - 6*h - 19, 2*h + 6 = -2*o. Solve 3*j - g + o = -3*g, 5*j + d = -3*g for j. 2 Let s be (-14)/(-5) + 28/(-35). Suppose -s*f + 9 = 5*m, -3*f = 4*m - 6 - 4. Let b = 2 + 2. Solve 26 = b*o - h - h, -h + 7 = f*o for o. 5 Let o(g) = -4*g + 34. Let r be o(8). Solve -4*h = y + h + 12, 2*y = 3*h + r for y. -2 Let u be 1/((-18)/(-36)*2/3). Solve 0 = -u*c - m + 5, -2*m = 2*c - 1 - 1 for c. 2 Let w = -99 - -104. Solve -4*i = -i + 4*p + 14, i = w*p + 27 for i. 2 Let k(s) = 6*s**2 + 1. Let z be k(-1). Let u = -1 + z. Suppose 0 = 3*i + 5*n - u, i - 4*n + 0 - 2 = 0. Solve 11 + 10 = -5*g + t, -i*t = -5*g - 22 for g. -4 Suppose 28 = 5*p - p. Suppose 3*s - 25*s = -418. Solve -f - o = p, s - 3 = -4*o for f. -3 Suppose 0 = 9*o + 15*o. Solve -4*w + 3*k = -29, -3*w + o*w + 3*k = -24 for w. 5 Suppose -4*t + 15 = -65. Suppose -8*q - t = -3*q. Let j be 21 + (-4)/q + -2. Solve 3*h = -w + 14, -3*w + j = 3*h + w for h. 4 Let t(p) be the third derivative of 0*p + 0 + 1/24*p**4 + 8/3*p**3 - 11*p**2. Let b be t(-13). Solve -4*w - h = 12 + b, -25 = w - 4*h for w. -5 Suppose -13 = -7*a + 15. Let w(n) = n**3 - 5*n**2 + 7*n - 6. Let h be w(a). Let c be (-1)/(-4 + 22/h). Solve -3*m - 3*u - c = 0, -u = -4*m - 2*u + 11 for m. 4 Let z be (-12)/(-42) + 304/14. Solve -4*i + 2*x = 20, 3*x + 0*x - z = 4*i for i. -4 Suppose -z + 2 = 0, 0*m - 5*m - 24 = 3*z. Let d = m + 9. Solve 3 = 3*a + 5*l - 2, -d*a - 4*l + 4 = 0 for a. 0 Let q be (-12)/(-24)*(-2)/3*3. Let p be (q + -1)*(-15)/6. Solve 2*i - 2 = -3*y, 0 = 4*i - i - p*y + 16 for i. -2 Let h be (-32)/(-14) + 12/(-42). Let l be -3*1*7/(-3). Let v(j) = j - 7. Let x be v(l). Solve x = -2*w + h*r + 6, -4*r - 19 + 1 = -w for w. -2 Suppose 10*j + 40 = 110. Solve j*s = 2*s - 5*g - 20, -23 = 5*s + 2*g for s. -5 Suppose 4*l + 10 + 3 = -3*f, -5*f + 3*l - 12 = 0. Let d be 33*(3 + 7/f). Solve -2*o - 3*o + 20 = 0, 3*o - d = -5*y for y. 2 Let v be 16/136 - 98/(-34). Let a(j) = j**2 - 5*j - 2. Let h be a(6). Solve h*r = 4*g - 0*g - 36, 5*g - 5 = -v*r for g. 4 Let x be (-16)/(-3) - (-9)/(-27). Solve 0 = -2*h - 2*h - x*o, 0 = -h - 2*o for h. 0 Let z(y) = 3*y**3 - 2*y**2 - 1. Let t be z(2). Let n = -79 + 82. Suppose 3*p - n*v = 3, 0*p - 2*v = 4*p - 16. Solve 5*q + p = -2*l, t + 0 = -4*l - q for l. -4 Suppose 5*f = 41 - 6. Let p be 1*16*1 - (0 + -3). Suppose p + 10 = d. Solve -d = -2*b + 5*i, -5*b + 3*i - f*i - 10 = 0 for b. 2 Suppose -s = g - 5, 3*g + g - 17 = -3*s. Suppose -s*c = -11 - 13. Suppose -2*i + 0*i + c = 0. Solve 3*r - 2 = 7*r - j, -i*j = 2*r + 10 for r. -1 Suppose -13*k + 6*k = -266. Suppose k - 28 = 2*d. Solve -35 = -4*z - 5*v + d, -5*v = z - 25 for z. 5 Suppose -j + 2*b + 9 = 0, 21 = 4*j - 0*j - 3*b. Solve 8 = 2*m, -j*d - 4*m = -m + 3 for d. -5 Suppose 3*f + s = 6*s + 43, 3*s - 35 = -2*f. Suppose f + 4 = 5*h. Solve 2*j + 25 = -j + h*z, 0 = -4*z + 16 for j. -3 Suppose 0 = 2*r - p - 5, -4*r + 3*p + 4 = -7. Solve 2*x + 2 = -4*q, -4*q = -3*q + 2*x + r for q. 0 Let k(v) = -3*v**2 - 22*v - 7. Let l be k(-7). Solve 4*s + 5*w - 15 = 0, l = -s + 4*w - 5 - 7 for s. 0 Let v = -284 + 286. Solve g - c = v*g + 1, -23 = 5*g - 4*c for g. -3 Let b(x) = x**2 + 29*x + 202. Let q be b(-18). Solve k + 3*k - 4 = f, -4 = 5*f - q*k for f. 0 Let t(o) = -o**3 + 10*o**2 - 16*o + 3. Let b be t(8). Solve -w - m = -9, 4*w = w + 3*m - b for w. 4 Let p(y) = -y**3 + 7*y**2 - 6*y + 5. Let v be p(6). Suppose 12 = v*z + z. Solve 22 = 3*a - 5*c, -3*a + 12 = -z*c - c for a. -1 Suppose -n = -3*t - 36, t = 4*t - 4*n + 45. Let y(l) = -l**3 - 11*l**2 - l + 4. Let z be y(t). Solve 2*r - z = -2*r - p, -4*r = -2*p - 6 for r. 3 Let t = 19 + -11. Let l be (4/(-6))/((-4)/18). Suppose -l*b + t*b = 0. Solve 4*w = -2*a + 8, -w - 2*w - 2*a + 6 = b for w. 2 Suppose s - l = -2*l - 3, 3*l - 26 = 2*s. Let a(p) = 2*p**2 + 15*p + 7. Let j be a(s). Solve j = -5*n - 7*o + 2*o - 5, 3*o = -6 for n. 1 Suppose -38 = -25*r + 6*r. Suppose 10*w - 12 + r = 0. Solve 4*u - 22 = 2*a, -u - w + 5 = a for a. -1 Let m = 17 - 7. Suppose 0 = q - m - 2. Suppose 2*n = -n + q. Solve -2*d + 0*d = -3*b + 5, -b + 15 = -n*d for b. -1 Suppose -4*b + 3*k + 20 = -200, -165 = -3*b + k. Let w = 57 - b. Solve w*x = 3*p - 11, p + 3*x + 7 = -4*p for p. 1 Let v(z) = z + 19. Let a be v(-11). Let k(n) = -n**2 + 6*n + 3. Let c be k(0). Solve -c*q + y = -a, -q - 4*y = q - 10 for q. 3 Suppose -3*l = -n - 20, -4*l - 30 = -5*l + 5*n. Let c = -25 - -33. Suppose 4*i = c*i - 20. Solve 3*p + 2*p + 15 = i*j, 0 = p - l*j + 7 for p. -2 Suppose 4*o - 48 = 2*f, -4*o + 0*f = f - 54. Let s = 7 + o. Solve 2*t - s = 4*v, 5*t - 4*v - 20 = 2*t for t. 0 Suppose 2*t - m = 57, 3*m - 86 = -3*t + 13. Suppose t*c - 31*c + 23 = 0. Solve 4*r + y = -9, r + 3 = -5*y - c for r. -1 Let z = 272 - 245. Solve -8 = -4*a, -2*y + a - z = 3*y for y. -5 Let p = 19 + -12. Suppose -30 = 2*s - p*s. Suppose 8 = z - s. Solve 4*k - c - z = 0, k = 3*c - c for k. 4 Suppose -2*z + 2 = 0, -2*r + 5*z - 11 = -5*r. Let b be r/11 - 93/(-33). Solve 2*a + 9 = -b*j, -2*j - 6 = 4*a - 0*j for a. 0 Let m be (-9)/(-2)*(-10)/(-3). Suppose m = 2*p + 3*c - 0, 5*p = 5*c. Let v be 11 - (-2 - (1 - p)). Solve -v = -n + 3*o, n - o = 3*o + 14 for n. 2 Let o be 2 - (-1)/(-2) - 14/(-4). Solve o*i = -25, -i - 3 = 2*d - 0*d for d. 1 Let r = 867 - 863. Solve r*j + 5*f = -3 - 4, 3*j = -4*f - 6 for j. 2 Suppose -5*z + 1 = -19. Solve -2*v + 0 - z = 0, 12 = -2*s - 4*v for s. -2 Let u(d) = d**2. Let f be u(1). Suppose 20 = -4*n, 2*n - 3 = 2*o - 17. Solve -o*v + 2*j = 3*v - 13, 2*v - f = 5*j for v. 3 Suppose 7*s - 32 = -4. Suppose 0 = -6*y + 4*y, 0 = 3*n - 4*y + 9. Let v = 5 + n. Solve s*f = -0*f - 5*c - 6, -3*f + v*c = 16 for f. -4 Let b(t) = -4*t**3 + t**2 + t. Let c be b(-1). Solve -5*k = -2*m + 3*m - 5, -c*m + 3*k = 3 for m. 0 Suppose 3*i - 51 = 2*q, 0 = -7*q + 4*q + 2*i - 64. Let u be (-58)/q + (-12)/54. Solve -p - f = -u*p, 0 = -5*p + 4*f + 3 for p. -1 Let m = -866 + 868. Let k = 1 - 0. Let u be (-1 + 15/k)/2. Solve -n - m = -5*f + u*f, -4*n = 8 for f. 0 Let r(p) = p**2 + 7*p + 2. Suppose -17 = -2*d + 4*d - 3*s, -4*d - 30 = -2*s. Let m be r(d). Solve 4*v = m*n - 8, 7*v - 2*v + 7 = 4*n for v. -3 Suppose 8*p = 3*p + 20. Let u(o) = -o - 8. Let a be u(-10). Suppose -2*j + 2 + a = -3*n, 4*j - 8 = -p*n. Solve -5*g - 15 = 0, -5*g = j*q - 0*g + 11 for q. 2 Let l = 24 + -26. Let a be 3 + -1 - (-1 + l). Solve 5 = -2*y + 5*p, -y - a*p = -0*y - 20 for y. 5 Suppose -4*l + 0 = -20. Suppose 3*z = h + 4*h, -4*z = l*h. Solve -v + 0*v - 5 = h, 3*v - 10 = -5*w for w. 5 Suppose r + 3*r = -2*q - 6, -4*r - 15 = -q. Solve -2*m + q = 3*t - 2*t, -6 = -3*t - 5*m for t. -3 Suppose 3*b + 3*o = 18, -2*b - 4*o + 22 = -0*b. Let h be 94/18 + ((-2)/9)/b. Solve h*i - 4*v = -31, -i - 2*i + 4*v - 25 = 0 for i. -3 Let t(v) = v + 9. Let c be t(13). Suppose 0 = c*k - 19*k. Solve -u = 3*n + 2, n + k + 2 = 0 for u. 4 Let j be (19 + -17)/(6/9). Solve 5*z - 5*d = -15, j*z + z - 2*d + 14 = 0 for z. -4 Let d be (-26*(-21)/24)/((-2)/(-8)). Let p = 94 - d. Solve 5*r - p = 5*a - a, -4*a = 8 for r. -1 Suppose -2*l = -0*l - 22. Let c = 15 - l. Solve -2*x - 3 = 3*y - 2, 4*y + 2*x = -c for y. -3 Let c(u) be the first derivative of u**2 - 9*u - 6. Let h be 26/4 - 2/(-4). Let k be c(h). Solve -2*p = -a + 5, -k*p + 0*p - a - 23 = 0 for p. -4 Suppose 40 + 72 = 14*d. Let p(t) = -t**3 + 8*t**2 + 5. Let j be p(d). Solve -6 = x - 2*n, -j*x - n = -2*x + 11 for x. -4 Suppose -22*j + 30 = -16*j. Solve -5*m + 11 = 4*z, -3*z + j*m + 9 = 9*m for z. -1 Let h = 25 + 2. Suppose h = 4*x + 3*t, -t - 1 + 0 = -2*x. Suppose s = 2 + 3. Solve -5 = -k + 2*n, s*k - x*n = k + 20 for k. 5 Let f(y) = -y**3 - 3*y**2 - 2*y - 1. Let q be f(-2). Let s be (4/12)/q*6. Let r = 5 + s. Solve 4*h = o + 12, 0 = r*h + h - 3*o - 20 for h. 2 Suppose -4*b + 0*t = -5*t - 47, -3*b + 43 = 4*t. Suppose 5*c - 3*a = 23, 0 = -3*c + b*a - 12*a + 13. Solve 5*n - 5*v = 0, -5*n = -c*v - 0 - 5 for n. 5 Let k be 2/5 + (-329)/3
{ "pile_set_name": "DM Mathematics" }
s 1/4 of a kilogram in grams? 250 How many micrograms are there in 9204.898 milligrams? 9204898 What is one tenth of a microgram in nanograms? 100 How many minutes are there in 27/4 of a hour? 405 How many centuries are there in 63900.36 decades? 6390.036 What is 95545.4 kilometers in centimeters? 9554540000 What is 5/4 of a micrometer in nanometers? 1250 How many months are there in 11/2 of a year? 66 What is 365724.6 millilitres in litres? 365.7246 What is 3/5 of a millennium in decades? 60 What is 2740.6767 months in millennia? 0.228389725 What is 1/5 of a centimeter in micrometers? 2000 What is 18/7 of a week in days? 18 How many minutes are there in 8/3 of a day? 3840 What is fifteen quarters of a millimeter in micrometers? 3750 What is fourty-seven quarters of a litre in millilitres? 11750 Convert 8204.37 months to centuries. 6.836975 Convert 0.539452 millennia to years. 539.452 How many centimeters are there in seventy-five quarters of a meter? 1875 What is 4.824973 weeks in microseconds? 2918143670400 How many millilitres are there in 11/10 of a litre? 1100 Convert 444704.6 decades to millennia. 4447.046 What is 26904.41 millilitres in litres? 26.90441 What is 86.81726 nanometers in centimeters? 0.000008681726 How many milligrams are there in 29/5 of a gram? 5800 Convert 3783.557 millilitres to litres. 3.783557 Convert 0.3125704 micrometers to meters. 0.0000003125704 What is thirteen quarters of a kilogram in grams? 3250 Convert 1.976944 litres to millilitres. 1976.944 How many micrometers are there in 665.1874m? 665187400 What is 5980.86 litres in millilitres? 5980860 How many millennia are there in 13065.68 decades? 130.6568 How many millilitres are there in 95865.36l? 95865360 What is 779660.3 years in millennia? 779.6603 Convert 872727.2 years to centuries. 8727.272 What is one tenth of a meter in millimeters? 100 What is 5/8 of a kilogram in grams? 625 How many minutes are there in 1.5996831 nanoseconds? 0.000000000026661385 How many millilitres are there in three eighths of a litre? 375 What is 610.651m in micrometers? 610651000 What is three eighths of a litre in millilitres? 375 Convert 28430.66 kilograms to grams. 28430660 Convert 182990.5l to millilitres. 182990500 Convert 0.748884 weeks to minutes. 7548.75072 How many hours are there in 598959.45ms? 0.166377625 How many hours are there in 15.491241 milliseconds? 0.0000043031225 What is 12/25 of a century in months? 576 What is 1.152085 meters in nanometers? 1152085000 What is fifty-seven halves of a litre in millilitres? 28500 How many meters are there in 3/5 of a kilometer? 600 How many minutes are there in nineteen quarters of a hour? 285 What is 5.370102 litres in millilitres? 5370.102 What is 28/3 of a week in minutes? 94080 How many centimeters are there in 0.3031623 millimeters? 0.03031623 How many seconds are there in 1/10 of a hour? 360 What is 3/10 of a meter in centimeters? 30 How many days are there in 18/7 of a week? 18 What is 3/5 of a gram in milligrams? 600 What is twenty-seven quarters of a litre in millilitres? 6750 How many millilitres are there in 19.91328 litres? 19913.28 What is 1/4 of a litre in millilitres? 250 What is twenty-five halves of a litre in millilitres? 12500 How many millilitres are there in 589098.9 litres? 589098900 How many meters are there in 0.546427 millimeters? 0.000546427 How many seconds are there in twenty-one quarters of a hour? 18900 What is one fifth of a centimeter in micrometers? 2000 Convert 1443.931mg to nanograms. 1443931000 How many micrometers are there in three sixteenths of a centimeter? 1875 Convert 433929.3um to meters. 0.4339293 What is one twentieth of a century in years? 5 How many millilitres are there in twenty-five eighths of a litre? 3125 Convert 75823.35ml to litres. 75.82335 What is one quarter of a millennium in decades? 25 What is 7/2 of a week in minutes? 35280 What is five quarters of a meter in millimeters? 1250 How many milligrams are there in one sixteenth of a kilogram? 62500 Convert 458904.9mm to nanometers. 458904900000 What is six fifths of a minute in milliseconds? 72000 What is 53/5 of a kilometer in meters? 10600 Convert 366.3609 microseconds to minutes. 0.000006106015 What is one tenth of a tonne in kilograms? 100 How many years are there in seven quarters of a millennium? 1750 How many millilitres are there in three eighths of a litre? 375 What is five eighths of a meter in millimeters? 625 What is 0.7515093ml in litres? 0.0007515093 Convert 9.73029 kilometers to centimeters. 973029 How many microseconds are there in 46/5 of a millisecond? 9200 Convert 29.87515 litres to millilitres. 29875.15 What is 25/2 of a litre in millilitres? 12500 What is 0.4146377m in micrometers? 414637.7 What is 6738.261 litres in millilitres? 6738261 How many millimeters are there in three fifths of a centimeter? 6 What is 6/5 of a kilometer in meters? 1200 What is one fifth of a millisecond in microseconds? 200 What is three eighths of a week in hours? 63 What is 3198.478 tonnes in micrograms? 3198478000000000 What is 54/5 of a litre in millilitres? 10800 How many months are there in nineteen quarters of a decade? 570 How many minutes are there in 5/24 of a day? 300 How many minutes are there in 25/4 of a week? 63000 How many minutes are there in eight thirds of a hour? 160 How many millimeters are there in 21/2 of a centimeter? 105 How many millilitres are there in 69/2 of a litre? 34500 How many micrograms are there in thirty-three tenths of a milligram? 3300 What is 87.08052 decades in years? 870.8052 What is eleven quarters of a litre in millilitres? 2750 What is 57/2 of a gram in milligrams? 28500 What is 13/8 of a kilometer in meters? 1625 Convert 172.4212 centuries to decades. 1724.212 What is 3/40 of a kilogram in grams? 75 How many days are there in 0.7784883 milliseconds? 0.00000000901028125 What is 0.6155466um in millimeters? 0.0006155466 What is seventy-one fifths of a second in milliseconds? 14200 What is 3/5 of a litre in millilitres? 600 What is eighty-seven fifths of a microgram in nanograms? 17400 Convert 1859213.7 months to years. 154934.475 How many seconds are there in 56764.41 days? 4904445024 How many tonnes are there in 0.1362741ug? 0.0000000000001362741 Convert 4.690555 nanometers to micrometers. 0.004690555 What is thirteen fifths of a litre in millilitres? 2600 How many kilograms are there in seven quarters of a tonne? 1750 Convert 73891.72s to milliseconds. 73891720 How many meters are there in six fifths of a kilometer? 1200 How many nanometers are there in fifty-five quarters of a micrometer? 13750 What is nineteen quarters of a millimeter in micrometers? 4750 How many millimeters are there in 7153.686 centimeters? 71536.86 What is 0.564954ml in litres? 0.000564954 What is 6/25 of a centimeter in micrometers? 2400 What is 14.095575 seconds in minutes? 0.23492625 How many micrometers are there in 7171.274m? 7171274000 Convert 624.3373ml to litres. 0.6243373 What is 7.479156 years in months? 89.749872 How many microseconds are there in 0.3030621 days? 26184565440 What is 29/5 of a milligram in micrograms? 5800 What is 96.1098 kilograms in micrograms? 96109800000 What is 57/2 of a century in decades? 285 What is 57/5 of a micrometer in nanometers? 11400 What is 4305.46 millimeters in kilometers? 0.00430546 Convert 9.852912 millennia to years. 9852.912 Convert 6297.888 nanograms to milligrams. 0.006297888 How many grams are there in 40613.74kg? 40613740 What is twenty-five quarters of a tonne in kilograms? 6250 How many micrometers are there in 80.86245nm? 0.08086245 Convert 3347.311 kilograms to nanograms. 3347311000000000 What is 6465.423kg in milligrams? 6465423000 How many micrograms are there in 19/4 of a milligram? 4750 How many millilitres are there in five eighths of a litre? 625 How many micrograms are there in 37/2 of a milligram? 18500 How many meters are there in eleven tenths of a kilometer? 1100 What is 491.552 litres in millilitres? 491552 How many seconds are there in 0.50198ns? 0.00000000050198 How many millilitres are there in 9/10 of a litre? 900 Convert 0.087824ml to litres. 0.000087824 How many nanoseconds are there in 7.919773 milliseconds? 7919773 How many years
{ "pile_set_name": "DM Mathematics" }
4 + 319? 2096*t**3 What is the derivative of l*p + 56*l - 3*p + 21 wrt l? p + 56 Differentiate -6394*f**4 - 9729 with respect to f. -25576*f**3 Find the third derivative of -17*a**6 + 7*a**5*j + a**2*j - 50*j wrt a. -2040*a**3 + 420*a**2*j Find the third derivative of 7575*i**3 - 2151*i**2 + 2*i. 45450 Find the second derivative of 2*c**2*d*u + 2*c**2*d + 50*c**2*u - 6891*c*d*u - 2*c*u wrt c. 4*d*u + 4*d + 100*u What is the second derivative of -217*q**2 + 594*q? -434 What is the second derivative of 108*r**2 + 527*r? 216 What is the second derivative of -2*t**2*x**2 - 3*t**2 + 3*t - 72*x**2 - x wrt x? -4*t**2 - 144 What is the third derivative of 6*i**4*o**3 + 10*i**3*o**3 - 2*i**2*o**2 - 74*i*o**3 wrt i? 144*i*o**3 + 60*o**3 Differentiate 532*m + 850 wrt m. 532 Find the second derivative of -228*b**5 - 3*b**3*f + 16*b*f + 5*b wrt b. -4560*b**3 - 18*b*f What is the second derivative of -m**2*r**4 + 2*m**2*r + 3*m**2 + 10*m*r**3 + 38*r wrt r? -12*m**2*r**2 + 60*m*r Find the second derivative of -2*f*l*s**2 - 3*f*l*s + 2*f*l - l + 313*s**2 - s wrt s. -4*f*l + 626 Find the second derivative of -o**3*t**2*w**3 + 9*o**3*t*w**2 - 37*o**3*t*w - 2*o**3*w**3 - 1228*o**2*t**2 + 2*t*w**3 wrt t. -2*o**3*w**3 - 2456*o**2 Differentiate -8*q**3 - 2*q + 128 wrt q. -24*q**2 - 2 Find the second derivative of -129*d**4 + 96*d wrt d. -1548*d**2 Find the first derivative of 573*h*l*p**3 + 9*h*l + 4*l*p**3 - 10*l*p**2 + 3*l*p - 2*l wrt h. 573*l*p**3 + 9*l What is the third derivative of -i**3*t**3 - 2*i**3*t**2 - 20*i**3 - 896*i**2*t**3 + 9 wrt t? -6*i**3 - 5376*i**2 Find the second derivative of 2*t**4 + 20*t**3 - 2*t**2 + 5839*t. 24*t**2 + 120*t - 4 What is the third derivative of f**6 + 11*f**5*o - 2*f**3*o - 18*f**2 - o wrt f? 120*f**3 + 660*f**2*o - 12*o Differentiate 9363*l**2*u**4 + 2*l**2*u**3 - l**2 - 2*l + 77 wrt u. 37452*l**2*u**3 + 6*l**2*u**2 What is the derivative of 2*c*l**3*r - 5*c*l - 3*c*r + 56*l**3*r - 18*r - 5 wrt l? 6*c*l**2*r - 5*c + 168*l**2*r Find the first derivative of -5*b**3*f**3*s + 3*b**3*f**2 - 2*b*f**3*t**2 - 8*f**3*t - f*s*t**2 + 17*s wrt s. -5*b**3*f**3 - f*t**2 + 17 What is the second derivative of -f**3*o**4 + 2*f**3*o - 2*f**2*o - 833*f*o + 2598*o**4 wrt o? -12*f**3*o**2 + 31176*o**2 Differentiate -71*j**3*l - 3976*j**3 - 13*j**2*l - l with respect to l. -71*j**3 - 13*j**2 - 1 Differentiate -14*j**2*o**3 + 12*j*o**3 + 73*o**3 + 22 with respect to j. -28*j*o**3 + 12*o**3 Find the second derivative of 204*c**5*h**2 - 2*c**5*h + 17*c*h + 11*h**2 wrt c. 4080*c**3*h**2 - 40*c**3*h Differentiate -19971*o + 4332. -19971 What is the second derivative of -1664*i**2*r + i*r - i - 21*r wrt i? -3328*r Find the third derivative of -119*b**3*g**2*z**3 + b**3*z**3 + 2*b**3 - 2*b*g*z**2 + 7*g**2*z + 3*g**2 wrt z. -714*b**3*g**2 + 6*b**3 Find the third derivative of -231*c**4 - c**3 + 588*c**2. -5544*c - 6 What is the second derivative of 4*o**4*x - 11*o**2*x**3 - o*x**2 - 7*x**3 wrt o? 48*o**2*x - 22*x**3 Differentiate -207*s**3*x + 204*x + 2 wrt s. -621*s**2*x What is the first derivative of -3*c**4*j**3 - 18*c**3*j**3 + 60*j**3 wrt c? -12*c**3*j**3 - 54*c**2*j**3 Find the second derivative of 2*t**5 - 916*t**3 + 2*t + 2. 40*t**3 - 5496*t What is the third derivative of -c**6 - 154*c**4 - c**2 + 339? -120*c**3 - 3696*c Find the second derivative of 10*s**2*z**5 + 230*s**2*z**2 - 2*s**2*z + 2*z + 1983 wrt z. 200*s**2*z**3 + 460*s**2 Find the first derivative of 5840*k**3 + 17636. 17520*k**2 Find the third derivative of n**5*w**2 - 82*n**3*w**3 + 12*n**2*w**2 + 2*w**3 wrt n. 60*n**2*w**2 - 492*w**3 What is the second derivative of 418*g**2 + 635*g wrt g? 836 Find the second derivative of -305*m**2*t**3 - 7*m*t**3 + 2*m + 2*t wrt m. -610*t**3 Find the third derivative of -4*j*t**3 + j*t**2 - 22*j*t - 84*t**6 wrt t. -24*j - 10080*t**3 Find the first derivative of -107*d*l**2 + 33*d*l - 2483*d + 2 wrt l. -214*d*l + 33*d Find the third derivative of -m**6*r**3 + 22*m**6 - 2*m**2*r**3 - 2*m**2*r + 18*m*r**3 wrt m. -120*m**3*r**3 + 2640*m**3 Differentiate 29*h**4*m + 3*h*m + 47*m wrt h. 116*h**3*m + 3*m What is the second derivative of -12*o**4 + 14*o**2 + 986*o wrt o? -144*o**2 + 28 What is the first derivative of 5*c*j**2 - c*j*s + 4*c*j + 26*j**2*s - 5*j**2 wrt s? -c*j + 26*j**2 What is the third derivative of 17288*i**4 - 7508*i**2 wrt i? 414912*i Find the second derivative of 178*f**3 + 211*f. 1068*f Differentiate -532*v**2 - 2*v + 682 wrt v. -1064*v - 2 Differentiate 138*h*i**3 - 3*h + 71*i**3 with respect to h. 138*i**3 - 3 Differentiate -12*h*t*w - 20*h*t + h + 7*t*w - w**3 + w with respect to w. -12*h*t + 7*t - 3*w**2 + 1 What is the third derivative of i**3*z**2 + 46*i**3 + 6*i**2*z**2 - 10*z**2 wrt i? 6*z**2 + 276 Differentiate 13694*u**2 + 3680. 27388*u What is the first derivative of -29*q**3 - 3*q**2 + 3098? -87*q**2 - 6*q What is the derivative of 24*f*h**2*o**2 - 3*f - h*o**2 - 4*o**2 + o wrt h? 48*f*h*o**2 - o**2 Find the second derivative of -5*t*u**5 + 3*t*u**4 + 4*t*u**2 - 122*t*u - u wrt u. -100*t*u**3 + 36*t*u**2 + 8*t Find the second derivative of 51*a**2*c*x**3 + 7*a**2*c*x - a**2*x**3 - a*c*x**3 + a*c*x**2 - 2*a*c - 39*a*x**3 wrt a. 102*c*x**3 + 14*c*x - 2*x**3 Differentiate 12*b*g - 8*b - g - 81 with respect to b. 12*g - 8 Find the third derivative of -12*p**5 - 11*p**4 - 150*p**2 - 2. -720*p**2 - 264*p Find the second derivative of 16*h**5 - 6*h**2 + 245*h wrt h. 320*h**3 - 12 What is the third derivative of -134*b**3*i - 3*b**2 + b + 18*i wrt b? -804*i What is the first derivative of k**3 - 1393*k**2*o**2 - 10*o**2 + 44*o - 4 wrt k? 3*k**2 - 2786*k*o**2 What is the first derivative of 12*m**4 + 7*m**3 + 255? 48*m**3 + 21*m**2 Differentiate -4238*h**2 - 773 wrt h. -8476*h Find the third derivative of 7*k**4 + 28*k**3 - 378*k**2. 168*k + 168 Differentiate -2*j*s**3*u**3 - 6418*j*u + 3*s**3*u**3 - 8*s*u**3 + 2*s - 20*u**3 wrt j. -2*s**3*u**3 - 6418*u Find the first derivative of h**2*r - h**2 + h*r + 2*r + 103 wrt h. 2*h*r - 2*h + r What is the second derivative of -2675*r**2 - 1898*r + 1 wrt r? -5350 What is the second derivative of 220*y**4 + y**2 + 234*y? 2640*y**2 + 2 Differentiate 887*u**3 + 1116 with respect to u. 2661*u**2 What is the derivative of -173*h*p*r**2 - 8*h*r**3 - h*r**2 + h + 16*p*r**3 + 4 wrt p? -173*h*r**2 + 16*r**3 Find the third derivative of -j**2*m**3 - j**2 - 4*j*m**3*r + 9*j*m**2*r - 47*j + 77*m**3*r + r wrt m. -6*j**2 - 24*j*r + 462*r What is the derivative of -496*j*r - 10*j + 2*r + 505 wrt r? -496*j + 2 Find the third derivative of -7351*q**3*u - 6*q**2*u - 448*q**2 - 2*q*u wrt q. -44106*u What is the second derivative of 188*j**2 - 23*j + 3 wrt j? 376 Find the third derivative of -2609*l*y**3 + 2831*l*y**2 wrt y. -15654*l What is the first derivative of -452*y**3 + 550? -1356*y**2 Find the first derivative of -206*o + 43 wrt o. -206 Find the second derivative of -7*b**2*w**2 + 1834*b**2*w - 79*w**5 + w wrt w. -14*b**2 - 1580*w**3 What is the third derivative of 274*f**4 - 87*f**2? 6576*f What is the derivative of 3*b**4*k - 4*b**3*k + 3*b**2 + 48*k + 2 wrt b? 12*b**3*k - 12*b**2*k + 6*b What is the third derivative of 2*l**3*v**3 + 3*l**3*v**2*w - l**2*v**3*w + 65*l**2*v**2*w - 2*l**2*w - 620*v**3*w wrt v? 12*l**3 - 6*l**2*w - 3720*w Find the first derivative of 25*f**2 - 27*f + 5957 wrt f. 50*f - 27 What is the first derivative of i**3*q**3 + 402*i**2*q**3 - 155*q**3 - 3*q wrt i? 3*i**2*q**3 + 804*i*q**3 Differentiate -22*d**4 + d**2*t - 3*d**2 - 3*t - 130 wrt d. -88*d**3 + 2*d*t - 6*d Differentiate 6*u**4 - 18*u**2 + 107. 24*u**3 - 36*u What is the third derivative of 5*w**3*y**2 + 22*w**3*y - 2*w**2*y**2 - 29*w**2 - 2*w*y**2 wrt w? 30*y**2 + 132*y What is the second derivative of -881*i**3 + i + 491? -5286*i Find the second derivative of -9*g**3*i**2 + g**3 - 277*g**2*i**2 - 8*g**2*i - 2*i**2 - 179 wrt i. -18*g**3 - 554*g**2 - 4 What is the second derivative of -14863*k**5 - 11426*k wrt k? -297260*k**3 Differentiate -7092*p**2*w - 14327*w wrt p. -14184*p*w Differentiate j*m*w**4 - 26*j*m - j - 9*m*w**4 with respect to w. 4*j*m*w**3 - 36*m*w**3 What is the third derivative of -283*t**3*v*y**4 - 3*t**3*v*y**2 - 209*t**2*v*y**2 + 4*t*v*y**5 + t*v wrt y? -6792*t**3*v*y + 240*t*v*y**2 Find th
{ "pile_set_name": "DM Mathematics" }
- 44873*l - 2*t wrt l? -25836*l*t - 168*l + 2 Find the third derivative of 7*g**5 - 1579*g**3 + 943*g**2 - g - 2 wrt g. 420*g**2 - 9474 Find the third derivative of -2*m**5 - 3*m**4 + 979*m**3 + 32750*m**2 wrt m. -120*m**2 - 72*m + 5874 Find the third derivative of 4505*c**3 - 37221*c**2. 27030 What is the third derivative of -2*x**4 - 1575632*x**3 + 13479*x**2 - 50*x wrt x? -48*x - 9453792 What is the second derivative of -46507*g**3 + 994*g + 71 wrt g? -279042*g What is the third derivative of 706*o**5 + 9*o**4 + 5*o**3 + 4426*o**2 - 5*o + 1 wrt o? 42360*o**2 + 216*o + 30 What is the first derivative of r**2 - 39580*r - 187271 wrt r? 2*r - 39580 Find the second derivative of 660*a*n**3 + 8*a*n + 8*a + 59*n**3 - 3*n - 19 wrt n. 3960*a*n + 354*n Find the third derivative of -6601*d**6*o + 76*d**4*o**2 - d**2*o**2 + 2*d**2 - 7*d*o**2 + 27726*d*o wrt d. -792120*d**3*o + 1824*d*o**2 What is the derivative of 71376*b - 42562 wrt b? 71376 Find the third derivative of -73383*o**3 - 110066*o**2 wrt o. -440298 Find the second derivative of -348*i**4*v**2 - 18*i**2*v**2 + 7*i*v**2 + i*v + 21*v**2 - 11 wrt i. -4176*i**2*v**2 - 36*v**2 Find the second derivative of -2*l**2*o**2 + 3*l**2*o + 7*l - 205622*o**2 + 1408*o wrt o. -4*l**2 - 411244 What is the second derivative of 45*d**4*w - 349*d**4 + 9*d*w - 5*d - 7*w + 12 wrt d? 540*d**2*w - 4188*d**2 Find the second derivative of -38358*y**4 + 77491*y. -460296*y**2 Differentiate -24470*v - 64246. -24470 Differentiate 7*f**2*r + 40414*f**2 - r**3 - 1649*r**2 with respect to r. 7*f**2 - 3*r**2 - 3298*r Find the third derivative of 1658*r**6 + 13*r**3 - 38259*r**2 wrt r. 198960*r**3 + 78 What is the first derivative of -7050*p**4 - 56*p**3 - 780837 wrt p? -28200*p**3 - 168*p**2 Differentiate 4*i**4 - 499*i**3 - 2*i**2 - 53294 wrt i. 16*i**3 - 1497*i**2 - 4*i What is the second derivative of -526755*v**5 + v - 103224 wrt v? -10535100*v**3 What is the third derivative of 50029*w**4 + 2*w**2 - 2*w - 10 wrt w? 1200696*w Find the second derivative of -5014*n**3 + 3*n + 2167 wrt n. -30084*n What is the second derivative of 175919*n**4 + 877*n - 30? 2111028*n**2 What is the first derivative of 2913*k**2*u**2 + 11*k**2 + 222*u**2 - 515 wrt k? 5826*k*u**2 + 22*k What is the third derivative of -a**3*w**4 - 2797*a**3*w**3 + 3*a**3*w - 3*a*w**3 + 274*a*w**2 wrt w? -24*a**3*w - 16782*a**3 - 18*a Find the third derivative of -8*i**5 - 2*i**4 - 1162*i**3 - 180806*i**2 wrt i. -480*i**2 - 48*i - 6972 What is the third derivative of -o*w*z**3 - o*w - 3*o - 29*w*z**3 - 2*w*z**2 - 218*w + 397*z**3 - 7*z**2 wrt z? -6*o*w - 174*w + 2382 Find the third derivative of j**3*t**2 - 207*j**3*t - 96*j**3 - 1291*j**2*t**2 - 11*j**2*t - 2*j*t**2 wrt j. 6*t**2 - 1242*t - 576 Find the third derivative of 2850989*n**4 + n**2 + 432790 wrt n. 68423736*n What is the second derivative of 2*i**2*o**2 - 200444*i**2*o - 2*i*o**2 + 15896*o**2 wrt o? 4*i**2 - 4*i + 31792 What is the third derivative of -28575*s**4 - 677*s**2 + 17? -685800*s What is the second derivative of -13*t**3*w + 922*t**2*w**2 - 2*t**2*w + 2524*t*w**2 - 16*t + 2*w wrt t? -78*t*w + 1844*w**2 - 4*w What is the third derivative of 3203*f**6*s + 44*f**5*s - 408*f**2 - 5*s wrt f? 384360*f**3*s + 2640*f**2*s What is the derivative of 13960*b - 34605? 13960 Find the third derivative of -364491*v**3 + v**2 - 39081*v wrt v. -2186946 Find the third derivative of 459*z**4 - 832*z**3 + z**2 - 81483 wrt z. 11016*z - 4992 What is the third derivative of 19*f**3*u*v**2 - 4547*f**3*v**2 + f**2*u*v**2 + f**2 - 3*f*u + 6210*u*v**2 - 2*v wrt f? 114*u*v**2 - 27282*v**2 What is the third derivative of 52*h**2*y**3 + 4*h**2*y**2 - 59*h**2 - 4*h*y**2 + 15*h*y - 2595*y**5 wrt y? 312*h**2 - 155700*y**2 What is the second derivative of 16696*x**3 - 16*x**2 - 7615*x + 14 wrt x? 100176*x - 32 What is the second derivative of -2578058*n**2 + 7462*n + 18 wrt n? -5156116 Find the first derivative of 316*q**2*y*z + 310*q*y*z - 3*y*z + y + 37*z + 2 wrt q. 632*q*y*z + 310*y*z Differentiate -8*o**2 + 1560*o + 174228 with respect to o. -16*o + 1560 Differentiate -14980*t**2 - 5*t - 623685 with respect to t. -29960*t - 5 What is the third derivative of -10*d**4 - 103*d**3*p**3 + 73*d**3 - 347488*d**2*p**3 wrt d? -240*d - 618*p**3 + 438 Find the third derivative of 4*a**6 - 42*a**4 + 57*a**3 + 211*a**2 - 5*a - 2 wrt a. 480*a**3 - 1008*a + 342 What is the second derivative of -n**2*y**2 + 2*n**2*y - 15*n*y**2 + 63711*n*y - 9542*y**2 - 2*y wrt y? -2*n**2 - 30*n - 19084 What is the third derivative of 4*q**5 - 252*q**4 + 3*q**3 - 2*q**2 + 2340*q + 2 wrt q? 240*q**2 - 6048*q + 18 What is the derivative of -11522*j**2 + 2769 wrt j? -23044*j What is the third derivative of 58*c*q**4 - c*q**2 - 2*c*q - 2*q**5 - q**4 + 42*q**2 + 13 wrt q? 1392*c*q - 120*q**2 - 24*q Find the first derivative of 31*m**3 - 34*m**2 - 16164. 93*m**2 - 68*m Find the second derivative of 37299*f**2*i**2*m**3 + 2*f*i*m**3 + 5*f*i*m - f*i - 21*i**2*m**3 + 27*i*m**3 wrt f. 74598*i**2*m**3 What is the derivative of 8782*g**3*m**2 + 31436*g**3 - m**2 wrt m? 17564*g**3*m - 2*m What is the first derivative of 117771*k - 76784? 117771 What is the second derivative of 17*b**5 - 1715*b**3 + 38125*b + 3? 340*b**3 - 10290*b What is the first derivative of -133*h*n**2 - 3*h*n - 955752*h - 58*n**2 wrt n? -266*h*n - 3*h - 116*n Find the second derivative of -30592*b**2 + 23430*b. -61184 Find the second derivative of 191014*f**4 - 35077*f wrt f. 2292168*f**2 What is the first derivative of -1485522*s**4 - 529581? -5942088*s**3 Differentiate 357*l**2 - 6*l + 17007 with respect to l. 714*l - 6 Find the second derivative of -7*y**4 + 2*y**3 + 461*y**2 - 5*y + 10182. -84*y**2 + 12*y + 922 What is the first derivative of -10450*b*m**2 - 2*m**2 - 1421*m - 8 wrt b? -10450*m**2 What is the second derivative of -188*c**2*w**3 + 323*c**2*w + 5*c**2 - 24*c*w + 7*w**3 - 82*w**2 wrt w? -1128*c**2*w + 42*w - 164 Find the third derivative of -6904*l**5*s + 8*l**4*s**2 - 81854*l**2*s**2 wrt l. -414240*l**2*s + 192*l*s**2 What is the third derivative of -590285*d**2*v**3 - 3*d**2*v**2 - 3*d**2*v + 612*d**2 - 4*v**2 wrt v? -3541710*d**2 What is the second derivative of 6*u**3 + 2044*u**2 + 146*u - 8 wrt u? 36*u + 4088 What is the third derivative of -2*h**4*z**2 + 348466*h**4 + 244*h**2*z + 21*h**2 + 16*h*z**2 - 1 wrt h? -48*h*z**2 + 8363184*h What is the second derivative of 95918*h**4 - 47560*h wrt h? 1151016*h**2 What is the first derivative of -118*i**3*l - 24*i**3 + 19643*l - 2 wrt i? -354*i**2*l - 72*i**2 What is the third derivative of -458*w**5 - 3*w**4 - 122*w**3 - 2373*w**2 - 25*w - 1? -27480*w**2 - 72*w - 732 Find the third derivative of 2980*q**3*v**5 + 6*q**3*v**3 + q**3 - 2*q**2*v**2 - 12*q*v**2 - 19*q wrt v. 178800*q**3*v**2 + 36*q**3 What is the third derivative of -117388*g**6 - 2*g**2 + 7*g + 4399? -14086560*g**3 What is the second derivative of 66*b**2*l**2 - b**2*l - 255*b*l**2 - 5034*b - l**2 wrt l? 132*b**2 - 510*b - 2 What is the first derivative of -6780*c**2 + 164*c + 728565? -13560*c + 164 What is the second derivative of -715*y**2*z**2 - 17346*y**2*z - 5*y*z**2 + 9*z**2 + 2*z wrt z? -1430*y**2 - 10*y + 18 Differentiate k**4 - 2*k**3 + 3815*k**2 - 113172 wrt k. 4*k**3 - 6*k**2 + 7630*k Find the second derivative of 505716*n**3*s**2 + 1122*n**3 - 39*n*s wrt s. 1011432*n**3 Find the second derivative of 883002*l**2 - 4748*l + 162 wrt l. 1766004 What is the first derivative of -2*h**4 + 2*h**3 - 1610*h**2 + 74773? -8*h**3 + 6*h**2 - 3220*h What is the second derivative of -4*o**3*y**2 - 121046*o**3*y + 36*o*y**2 - 774*y**2 wrt o? -24*o*y**2 - 726276*o*y What is the second derivative of -300*f**2*n**2 + 22*f**2*n - f**2 + 144*f*n**2 - 1079*f*n wrt f? -600*n**2 + 44*n - 2 What is the third derivative of -1332*u**3*v**2 + 86*u**3*v + 4705*u**2*v + 129*u*v**2 wrt u? -7992*v**2 + 516*v Find the second derivative of -5873*a**3*r**2 - 2*a**3*r - 2*a*r - 19899*r wrt r. -11746*a**3 Find the third derivative of -267*k**3*p - 2137*k**3 - k**2*p + 3*k + 227505*p wrt k. -1602*p - 12822 Differentiate 59*u**3 - 45*u**2 + u + 483545. 177*u**2 - 90*u + 1 What is the second derivative of 113*c**2*r**2*w**2 - 2*c**2*r**2 - 42*c**2 + c*r**2*w - 25*c*r**2 - 34*c*r*w**2 - 2*
{ "pile_set_name": "DM Mathematics" }
72. Let t = h + 2700. Does 13 divide t? True Suppose -4*d + 2*v = -15434, 7499 = 4*d - 4*v - 7933. Is 227 a factor of d? True Let j = 37 - -53. Let x = j + -88. Suppose 0 = -6*l + 3*l + x*q + 121, 35 = l - 2*q. Does 3 divide l? False Suppose -3*f = 2*c - 913, 2*f - c - 3*c - 614 = 0. Suppose -275 - f = -4*a. Is a a multiple of 3? False Suppose 4*i - 3*k - 19464 = 0, 9840 = 2*i + 2*k + 136. Is i a multiple of 12? True Let p = -27 + 13. Suppose v - 36 = -u - 2*v, -11*u + 280 = 4*v. Let f = u + p. Is f even? True Let k be (29/(-3) - 0) + (-8)/(-12). Let s(r) be the first derivative of -r**4/4 - 5*r**3/3 + 10*r**2 + 22*r + 12. Is 27 a factor of s(k)? False Let z be 16258/44 + 1 + (-9)/6. Suppose b + o = 5*b - 1481, -z = -b - o. Does 39 divide b? False Suppose 19 + 5 = a. Is 3*(-18)/a*-68 a multiple of 5? False Let h be (4/3)/(11/(-99)). Is 25 a factor of (771 - 1) + (-4)/h*-9? False Let b be (-15200)/114*(-12)/10. Let v = b + -153. Is v a multiple of 7? True Suppose -3*j = -5*y + 1, -2*j - 3*y = -j - 9. Suppose g - 324 = j*l, 2*g + 7*l - 660 = 9*l. Is g a multiple of 37? True Let a(d) be the third derivative of -53*d**6/60 + d**5/60 - d**4/24 - d**3/2 + 3*d**2 - 59. Does 11 divide a(-1)? False Suppose -9*s + 1649 + 8402 = 1636. Does 22 divide s? False Let c = -10348 + 13588. Is 12 a factor of c? True Is 9 a factor of 37730/8 - ((-24)/(-240))/(6/15)? True Let k(l) = 7*l**3 + 17*l**2 + 5*l + 46. Let y(i) = -16*i**3 - 34*i**2 - 10*i - 93. Let m(z) = 9*k(z) + 4*y(z). Is m(17) a multiple of 6? False Let r = 3162 - 1626. Does 3 divide r? True Suppose -4*l - 7 = 165. Suppose -18*q = -3*q - 2340. Let c = q + l. Does 38 divide c? False Let x(k) be the third derivative of k**6/120 + k**5/30 - k**4/24 + 147*k**3/2 - 21*k**2. Let g be x(0). Let m = -281 + g. Is m a multiple of 29? False Let h(p) = -19*p - 188. Let g be h(-10). Does 18 divide g/(-5) + 102448/95? False Suppose 172104 + 1636248 = 91*a. Does 92 divide a? True Suppose -110 + 32 = -2*u. Let r = u + -39. Is (2 - 1)*(r - 36/(-2)) a multiple of 16? False Let i(v) = -v - 13. Let m be i(-11). Let y be (8/m)/(-4) - 16/(-4). Let s = y + 69. Does 4 divide s? False Suppose -17*b + 711 = -14*b. Suppose 3*i - b = -5*u, u - 3*u = -5*i + 426. Does 28 divide i? True Suppose 268116 = 31*z + 27136 - 91495. Does 143 divide z? True Let u = -146 + 179. Suppose 40*g - 3976 = u*g. Is 31 a factor of g? False Let s(v) = -12*v**2 + v + 2. Let l be s(1). Let f(z) = -2*z**3 - 18*z**2 - 8*z + 10. Is 5 a factor of f(l)? False Does 48 divide (513 - 1)/(-2)*((-137)/(-4) + -56)? True Let f be 282/(-4)*1240/(-93). Suppose 2*w = 3*v - f, -v = -3*v + 5*w + 645. Does 31 divide v? True Does 25 divide (15200 - -43)/((-5)/(-2) + -1)? False Suppose -50714 - 24832 = -9*w. Does 69 divide w? False Let d(m) = 4*m + m - 88 + 32. Let l be (-9664)/(-448) + (-4)/7. Is 3 a factor of d(l)? False Let l(r) = -173*r**3 - 3*r**2 + 1. Let b(i) = 174*i**3 + 4*i**2 - i - 2. Let k be -9*1*44/(-198). Let w(f) = k*b(f) + 3*l(f). Is 16 a factor of w(-1)? False Let t(v) = -22*v + 110. Let i be t(5). Does 15 divide (i + 1)*(1 - -119)? True Suppose z - 4 = -3*j, 5*j - 7*j + 14 = -5*z. Is 17 a factor of (-852)/z - (-35)/(-35)? True Let s(n) = 39*n + 72. Is 93 a factor of s(53)? True Suppose -5433 = -12*m + 1791. Let a = 1372 - m. Is a a multiple of 30? False Let v be 4/6 - 16/24. Suppose v = 17*g - 9549 - 923. Is g a multiple of 28? True Let r = 230 + -234. Does 27 divide ((-2)/(-2))/r - 7800/(-96)? True Suppose 1680 = -4*p + 9*p. Let x be ((-2)/4)/(4/p). Let y = -18 - x. Is 6 a factor of y? True Let q be ((-1)/(-1))/(1/(-11)). Let m(p) be the second derivative of -p**5/20 - 5*p**4/6 + 5*p**3/3 + 13*p**2/2 + 1689*p. Is 5 a factor of m(q)? False Suppose -7 = -5*x - 332. Let s = x + 68. Suppose s*p = -4*z + 440, -46 - 79 = -p + 3*z. Is p a multiple of 20? True Let y(u) = -u**2 + 8*u - 9. Let v be y(6). Suppose 0 = -4*h - h + v*h. Suppose -l - 13 = -4*j - 98, h = -2*l - 5*j + 105. Does 13 divide l? True Let p(f) = 31*f**2 - 253*f - 6906. Is p(-24) a multiple of 7? False Suppose 5*f + 5*h + 10 = 0, -h + 4 = -f + 8. Let w(d) = -26*d - 48. Let g be w(-2). Is (f - g)/((-1)/35) a multiple of 35? True Suppose l - 7 = -v, -3*l - 2*l + 27 = 4*v. Suppose 0 = 6*p - v*p - 10. Is 37 a factor of 2 - ((-3 - p) + -111)? True Suppose -9128 = -8*o + 1816. Is o a multiple of 15? False Suppose 12*j = -72 + 1248. Is 8 a factor of j? False Let u(l) = -3*l + 39. Let k be u(6). Let q be (-25)/(-4) - 3/12. Suppose k - 129 = -q*b. Is 3 a factor of b? True Let s be (-1 - -4)*(-4)/(-6). Suppose -4*h + 6 = s*q, -2*h + q = -3*h + 4. Is 35 a factor of h*1 + (-1477)/(-7)? True Is 21 a factor of 929316/44 - (-24)/132 - -5? True Let n be ((2680/6)/5)/(14/21). Let k = n - 19. Suppose k = -0*x + 5*x. Is x a multiple of 3? False Let m(x) = 2*x**2 + 3*x - 14. Suppose -76 = -5*b + 4*b. Let v = b - 82. Is m(v) a multiple of 11? False Let w(r) = 9*r + 22. Let n be w(10). Let m = n - 101. Suppose 245 = -4*x + m*x. Is 7 a factor of x? True Suppose 1367 = 9*j - 12637. Does 15 divide j/6 + 22/33? False Let b(d) = 109 + 25*d - 126 + 161*d**2 - 18*d. Is 41 a factor of b(3)? False Suppose 0 = 6*n - 14*n + 144. Suppose n = d + 15. Suppose -63 = d*i - 318. Does 17 divide i? True Let b(f) = 3*f**2 - 24*f + 35. Let u = 313 - 298. Does 10 divide b(u)? True Let k(o) = 2*o**2 + 33*o - 15. Let c(j) = 2*j**2 + 34*j - 15. Let d(s) = -6*c(s) + 7*k(s). Is d(-15) a multiple of 10? True Suppose 2*d = 3*z - 51, -11*d + 12 = -12*d - 3*z. Is 21/147 - 28557/d a multiple of 40? True Let z(i) = 137*i**2 + 197*i - 13. Is 13 a factor of z(-8)? False Let s = -54 - -106. Let y = -32 + s. Let l(q) = -q**2 + 22*q - 27. Is l(y) a multiple of 13? True Let y(b) = -20*b + b**3 + 13 + 5*b**2 + 5 + 17*b. Let j be y(-6). Does 5 divide (j*(-1)/4)/2 + 15? True Let q(y) = 9*y**2 - 14*y + 96. Let i(d) = 4*d**2 - 7*d + 47. Let x(v) = 7*i(v) - 3*q(v). Does 16 divide x(8)? False Let n = -5713 + 7079. Is n a multiple of 31? False Let n(w) = 4*w + 71. Let s be n(-16). Suppose -v + 24 = 4*g, 0 = s*g - 9*g. Is v a multiple of 6? True Suppose -2*m + 5*x + 8592 = -4369, 5*x = -2*m + 13051. Does 21 divide m? False Let b be (8/16)/((-2)/(-1892)). Suppose 0 = c - v - b, -39 - 912 = -2*c - 3*v. Is c a multiple of 79? True Let k = -91 - -107. Suppose g = -5*z + 71 - k, -47 = -g - z. Does 5 divide g? True Suppose s + 7*s - 16 = 0. Suppose s*i = -2*i + 20. Suppose -9*c - 12 = -z - 6*c, 5*z = i*c + 90. Does 3 divide z? True Let v = 204 + -199. Suppose 3*u = -5*k + 493, 4*k - 881 = -v*u - 81. Does 8 divide u? False Let j be (-15 - -16)*(20 + -2 + 2). Suppose 3*u + u - 23 = -x, -j = 5*u. Is x a multiple of 13? True Let u(n) = 7*n + 43. Let y be u(-6). Let x be (6 + (-88)/14)/(y/(-7)). Suppose 0 = 2*w + 8, 4*g + x*w = 7*g - 74. Is g a multiple of 9? False Suppose -30 = -5*x + 5*v, 2*x = -3*x + 2*v + 33. Suppose x = 11*i - 323. Let n = i - -6. Is n a multiple of 9? True Is 24/(-14)*2656080/(-255) a multiple of 72? True Let j(m) = -4*m**2 + 329*m + 215. Does 9 divide j(69)? False Let z be (-20)/8*12/(-10). Suppose -z*s - 7 + 25 = 0. Does 40 divide (-877)/5*-1 - s/(-10)? False Let v be (-150)/(-1 + (-3)/(-12)). Let c(o) = -o**3 + 3*o**2 + 5*o + 81. Let s be c(6). Suppose 2*u + 4*w = v, -5*w - 361 = -u - s*u. Does 50 divide u? False Let l be (-594)/88*16/(2/1). Let a = -105 - -37. Let g = l - a. Is 5 a factor of g? False Let y(f) = f**3 + 4*f**2 + 4*f + 5. Let g be y(-3). Suppose 3*c - 99 = -g*b, 3*b + c - 173 = -b. Let h = b + -36. Is 2 a factor of h? True Let l = -38936 + 72502. Is 26 a factor of l? True Let s be (-12)/(-30)*(7 + 1 - -2). Suppose -199 = r - i - 792, 0 = -4*i + s. Is 66 a factor of r? True Is (1/(5 + (-615552)/123108))/(-1) a multiple of 12? False Suppose -5*l - 4*m = -10, 5*m + 8 = 7*l - 3*l. Suppose 11 = l*t + 5. Suppose t*s = 6*s - 93. Is 31 a factor of s? True Let l(g) = 35*g**2 + 7*g - 156. Is 15 a factor of l(-15)? False Suppose -4121 = -5*j - d, 0 = 5*d - 5 - 25. Does 14 divide j? False Suppose -2*l + 16 = -5*x - 8, -3*l + 3*x = -27. Let a(b) = 112*b**2 + b**3 - 9*b + 3 + 81*b**2 - 194*b**2. Does 45 divide a(l)? False Let v(u) = -3*u**3 + 3*u**2 - 5*u + 107. Let m(w) = -4*w**3 + 4*w**2 - 6*w + 106. Let f(h) = -4*m(h) + 5*v(h). Let n = 20 +
{ "pile_set_name": "DM Mathematics" }
base 11. -6 What is 21 (base 11) in base 14? 19 What is 1 (base 5) in base 4? 1 What is -64 (base 8) in base 2? -110100 Convert -c (base 13) to base 8. -14 What is 4 (base 12) in base 2? 100 -163 (base 9) to base 8 -212 What is -2 (base 9) in base 14? -2 -29 (base 11) to base 9 -34 -8 (base 13) to base 10 -8 Convert 13 (base 4) to base 14. 7 What is 38 (base 16) in base 10? 56 What is 121 (base 3) in base 10? 16 -118 (base 14) to base 13 -13a Convert -6 (base 8) to base 2. -110 What is -3e (base 15) in base 12? -4b What is -1303 (base 5) in base 8? -313 -29 (base 13) to base 7 -50 -29 (base 12) to base 14 -25 What is -86 (base 13) in base 11? -a0 What is 14 (base 6) in base 4? 22 Convert -1 (base 14) to base 13. -1 Convert -217 (base 10) to base 3. -22001 What is -20 (base 5) in base 16? -a 12 (base 5) to base 2 111 Convert 645 (base 7) to base 15. 16c Convert -5a (base 14) to base 10. -80 What is 11 (base 9) in base 15? a What is 14 (base 9) in base 2? 1101 What is 29 (base 10) in base 16? 1d What is 24 (base 5) in base 12? 12 What is -99 (base 10) in base 6? -243 Convert -13 (base 16) to base 8. -23 2 (base 16) to base 6 2 4 (base 12) to base 11 4 What is 110100 (base 2) in base 16? 34 -7 (base 11) to base 14 -7 f (base 16) to base 4 33 Convert -1 (base 13) to base 8. -1 What is -43 (base 12) in base 2? -110011 Convert -4 (base 16) to base 5. -4 Convert -9 (base 14) to base 5. -14 What is 10 (base 6) in base 2? 110 Convert 288 (base 10) to base 9. 350 What is -151 (base 11) in base 13? -108 17 (base 16) to base 2 10111 What is -3 (base 7) in base 10? -3 Convert -10010 (base 2) to base 7. -24 What is 61 (base 12) in base 9? 81 1 (base 15) to base 11 1 What is 11 (base 10) in base 7? 14 What is -6 (base 9) in base 11? -6 34 (base 9) to base 15 21 Convert 10a (base 13) to base 3. 20122 Convert 1 (base 16) to base 3. 1 What is 2 (base 10) in base 11? 2 Convert -61 (base 12) to base 2. -1001001 What is 36 (base 13) in base 15? 30 What is 57 (base 12) in base 6? 151 Convert -12 (base 15) to base 12. -15 -11222 (base 3) to base 16 -86 -8 (base 9) to base 8 -10 -60 (base 7) to base 2 -101010 What is 122 (base 10) in base 4? 1322 Convert 117 (base 15) to base 10. 247 What is -3 (base 4) in base 2? -11 What is 53 (base 10) in base 3? 1222 What is -44 (base 5) in base 10? -24 -11 (base 2) to base 6 -3 What is -1 (base 3) in base 8? -1 6 (base 16) to base 12 6 What is c (base 14) in base 16? c -302 (base 4) to base 5 -200 -d (base 16) to base 9 -14 What is -4 (base 11) in base 15? -4 Convert -11110 (base 2) to base 13. -24 Convert -4 (base 11) to base 5. -4 10100 (base 3) to base 6 230 6 (base 15) to base 7 6 2 (base 14) to base 6 2 What is 4 (base 6) in base 11? 4 Convert 3 (base 8) to base 9. 3 31 (base 15) to base 5 141 Convert -30 (base 14) to base 15. -2c Convert 111 (base 5) to base 4. 133 What is -12 (base 5) in base 14? -7 Convert -28 (base 13) to base 6. -54 -8 (base 15) to base 11 -8 What is -10 (base 4) in base 6? -4 What is -30 (base 12) in base 6? -100 What is -ed (base 15) in base 8? -337 60 (base 11) to base 4 1002 What is -23 (base 7) in base 2? -10001 3 (base 6) to base 5 3 -1 (base 13) to base 8 -1 be (base 15) to base 3 20122 Convert 2 (base 8) to base 3. 2 7 (base 10) to base 12 7 What is -10 (base 2) in base 15? -2 What is -10 (base 3) in base 16? -3 Convert -210 (base 5) to base 3. -2001 10 (base 2) to base 3 2 Convert 32 (base 16) to base 13. 3b What is -1201 (base 3) in base 15? -31 Convert 23 (base 9) to base 10. 21 What is -21 (base 5) in base 16? -b Convert -67 (base 9) to base 12. -51 1140 (base 6) to base 7 543 What is 132 (base 4) in base 12? 26 Convert 1 (base 3) to base 13. 1 -60 (base 13) to base 14 -58 What is 31 (base 6) in base 12? 17 8 (base 12) to base 6 12 What is -8 (base 16) in base 6? -12 What is 6 (base 7) in base 12? 6 Convert -15 (base 14) to base 12. -17 -15 (base 6) to base 12 -b -245 (base 6) to base 3 -10202 -1 (base 16) to base 7 -1 Convert 50 (base 6) to base 16. 1e 2130 (base 5) to base 13 194 What is -3 (base 5) in base 10? -3 67 (base 11) to base 3 2201 What is -10 (base 3) in base 5? -3 What is 210 (base 5) in base 3? 2001 What is 26 (base 15) in base 6? 100 What is d (base 14) in base 5? 23 Convert 0 (base 3) to base 8. 0 What is 7 (base 13) in base 16? 7 -228 (base 10) to base 3 -22110 What is 33 (base 12) in base 7? 54 What is 41 (base 11) in base 14? 33 -1 (base 15) to base 14 -1 What is -11 (base 6) in base 2? -111 What is -3 (base 14) in base 10? -3 What is -4 (base 9) in base 10? -4 Convert -2 (base 11) to base 3. -2 What is 1 (base 5) in base 11? 1 72 (base 16) to base 11 a4 Convert 1 (base 5) to base 15. 1 What is -94 (base 12) in base 13? -88 Convert 7 (base 12) to base 8. 7 Convert 155 (base 9) to base 3. 11212 Convert -2 (base 14) to base 15. -2 What is -10 (base 5) in base 10? -5 -36 (base 16) to base 15 -39 What is -3 (base 10) in base 3? -10 Convert 103 (base 4) to base 15. 14 Convert -1 (base 2) to base 4. -1 What is 1 (base 8) in base 11? 1 Convert -4 (base 10) to base 16. -4 What is 21 (base 8) in base 12? 15 Convert -20 (base 10) to base 11. -19 -124 (base 5) to base 10 -39 -31 (base 7) to base 3 -211 What is -c (base 14) in base 7? -15 -15 (base 7) to base 14 -c 14 (base 14) to base 13 15 0 (base 4) to base 10 0 Convert 11 (base 3) to base 7. 4 -29 (base 13) to base 15 -25 What is -1000001 (base 2) in base 10? -65 What is -76 (base 9) in base 13? -54 1 (base 2) to base 16 1 What is 8 (base 16) in base 7? 11 What is 13 (base 12) in base 8? 17 Convert 5 (base 14) to base 11. 5 Convert -10 (base 15) to base 8. -17 Convert 10 (base 8) to base 12. 8 Convert -4 (base 6) to base 13. -4 Convert 3 (base 10) to base 6. 3 20 (base 3) to base 13 6 Convert -4 (base 15) to base 9. -4 What is -113 (base 4) in base 7? -32 Convert -2120 (base 3) to base 8. -105 Convert 130 (base 4) to base 6. 44 7 (base 11) to base 12 7 What is -2 (base 8) in base 6? -2 331 (base 7) to base 13 100 What is -66 (base 12) in base 4? -1032 What is 21 (base 13) in base 15? 1c Convert 21 (base 9) to base 12. 17 Convert -20 (base 4) to base 10. -8 12 (base 15) to base 7 23 15 (base 7) to base 6 20 What is -55 (base 12) in base 16? -41 Convert -2 (base 5) to base 14. -2 Convert -10101101 (base 2) to base 6. -445 2 (base 7) to base 14 2 What is 6 (base 10) in base 7? 6 Convert 114 (base 5) to base 8. 42 What is -b5 (base 16) in base 8? -265 Convert 9 (base 12) to base 4. 21 What is 0 (base 15) in base 13? 0 What is -44 (base 15) in base 16? -40 What is -15 (base 16) in base 13? -18 What is -14 (base 7) in base 9? -12 What is 271 (base 11) in base 7? 635 What is -25 (base 8) in base 13? -18 Convert -11 (base 9) to base 7. -13 Convert -1404 (base 5) to base 8. -345 What is -1 (base 11) in base 7? -1 1 (base 7) to base 9 1 What is -31 (base 4) in base 6? -21 What is 1010 (base 3) in base 14? 22 444 (base 5) to base 3 11121 -17 (base 9) to base 13 -13 What is 7 (base 11) in base 5? 12 166 (base 9) to base 11 119 -33 (base 4) to base 14 -11 What is -312 (base 5) in base 14? -5c Convert 118 (base 12) to base 10. 164 Convert 2 (base 14) to base 6. 2 10 (base 7) to base 14 7 What is -36 (base 12) in base 10? -42 23 (base 11) to base 6 41 Convert -6 (base 14) to base 6. -10 What is -20022 (base 3) in base 12? -122 What is -2 (base 13) in base 15? -2 35 (base 14) to base 3 1202 Convert 225 (base 8) to base 13. b6 -9 (base 14) to base 9 -10 What is -12 (base 4) in base 13? -6 What is 5 (base 10) in base 9? 5 What is -5 (base 14) in base 9? -5 Convert 5b (base 14) to base 8. 121 Convert 11 (base 7) to base 13. 8 What is -8 (base 14) in base 4? -20 What is 2 (base 15) in base 10? 2 -2 (base 5) to base 14 -2 What is 340 (base 9) in base 3? 101100 What is -110000 (base 3) in base 4? -11010 What is 3 (base 6) in base 7? 3 -21 (base 13) to base 2 -11011 2a (base 15) to base 7 55 What is -11011 (base 2) in base 9? -30 Convert -5 (base 11) to base 5. -10 -51 (base 6) to base 3 -1011 What is -1302 (base 4) in base 3? -11020 Convert 7 (base 13) to base 7. 10 -141 (base 12) to base 4 -3001 What is -110010 (base 2) in base 4? -302 Convert 212 (base 3) to base 7. 32 What is 0 (base 12) in base 3? 0 Convert -334 (base 5) to base 8. -136 Wha
{ "pile_set_name": "DM Mathematics" }
31. Calculate the common denominator of -50 and (-16)/t - -431*2/84. 6 Suppose m - 115 = -46. What is the least common multiple of m and 9? 207 Let u = -1110 + 1120. What is the least common multiple of 38 and u? 190 Let u = 23269/8 + -2901. What is the common denominator of u and 1174/308 - 2/(-14)? 88 Let a = -99287 - -194121/2. Let o = a + 2178. Find the common denominator of -35/12 and o. 12 Calculate the least common multiple of 14 + (8/3)/((-10)/(-15)) and 94. 846 Calculate the smallest common multiple of 22 and (-1)/(2*1/(-428)). 2354 Let f = -24325/57 + 1273/3. Calculate the common denominator of -14/17 and f. 323 Suppose w + 1 - 3 = 0. Let t be (-1)/w + (-106)/(-4). Let i = t + -17. What is the least common multiple of i and 4? 36 What is the common denominator of 83/110 and (-26)/((-312)/60) - 857/165? 330 Let r = 8 + -5. Suppose -b + r*l = -l - 32, 2*b + 3*l = 31. Let o = 31 - b. What is the least common multiple of o and 7? 77 Suppose 3*t + 14 = n - 16, -20 = 2*t - 3*n. Calculate the common denominator of (1/6)/((-9)/39) and (-985)/(-850)*1 + (-4)/t. 306 Suppose 0 = -3*w - w + 12. Suppose -3*l + 2 + 1 = 0. Calculate the lowest common multiple of w and l. 3 Let o(k) = -7*k - 65. Let x be o(-27). What is the common denominator of 41/9 and ((-7)/(28/(-9)))/(6/x)? 18 Suppose -44 + 204 = 8*l. Calculate the least common multiple of 192 and l. 960 Let u be 1/(-1*(2 - 1)) - 79. What is the common denominator of -49/3 and 178/(-20) + (u/25)/8? 30 Suppose x - 8 = 3*u + 2, 3*x + 4*u - 82 = 0. Let g(v) = 2*v + 6. Let w = -16 - -23. Calculate the least common multiple of x and g(w). 220 Suppose 2*v + 5*g = -11, 2*g - 19 = -2*v + 7*g. Suppose 0 = -42*q + 17*q + 100. Calculate the least common multiple of q and (-1 - v)/(3/(-8)). 8 Let n(b) = b**3 + 5*b**2 - 14*b + 8. Let x be 24/(-6) + -2 + -1. What is the lowest common multiple of 8 and n(x)? 8 Let s = 345929/222154 + -560/401. Calculate the common denominator of s and 31/2. 554 Suppose -140 = -5*w + 4*z, -3*w = -w + 3*z - 33. What is the smallest common multiple of w and 144? 144 Let j = -203 + 211. Calculate the smallest common multiple of 17 and j. 136 Let y(u) = 2*u - 3. Let f be y(3). Suppose 2*w - 110 = -f*w. Suppose 4*s = -3*h + 20, -4*h + s = -31 - 21. What is the smallest common multiple of w and h? 132 Let j = 480 + -9617/20. Let c be 13/(-5) + 22/(-55) + -3. Calculate the common denominator of j and 23/c + 4/(-6). 20 Let b(z) = z**2 - 5*z - 40. Calculate the lowest common multiple of b(-10) and 30. 330 Let j = 268/11 + -25. What is the common denominator of 19/23 and j? 253 Let v = 4471 - 76036/17. Find the common denominator of 16/35 and v. 595 Let l = 951/328 + -42/41. Let g(i) = -i**3 - 11*i**2 + 9*i. Let o be g(-14). Calculate the common denominator of l and 2*1 + o/(-119). 136 Suppose 1 + 29 = -5*h. Let y be 16/(-6)*2*h. Suppose 0 = -5*i + 6*b - 2*b + y, i - 4*b = 0. What is the smallest common multiple of 10 and i? 40 Let i be -3 - 5/((-105)/35139). Let b = -888893/532 + i. What is the common denominator of -79/6 and b? 228 Suppose -2*a - 56 = 2*a. Let c = -5 - a. Calculate the smallest common multiple of c and 25 + (-4 - -3 - 5). 171 What is the least common multiple of (140/((-13)/((-39)/2)))/2 and 5? 105 Find the common denominator of -37/2 and 1/(-10) + 58178/8080 + -7. 808 Suppose 2*m = 5 + 11. Let y(g) = -2*g**2 + 25*g - 39. Let v be y(11). What is the common denominator of 71/22 and (v/m)/((-6)/108)? 22 Let l be 1 + (-2 - (-25)/(-36)). Let w = l + -427/72. What is the common denominator of 7/25 and w? 200 Let t = -600 + 2097. Let y = t + -7521/5. Let f(l) = 18*l - 1. Find the common denominator of f(-2) and y. 5 Let m = -37 + 86. What is the least common multiple of 21 and m? 147 Let y(h) = -2*h**3 + 1. Let q be y(-1). What is the common denominator of ((-46)/(-18))/(0 - -1) and 3 - (q + 50/15)? 9 Suppose 7*o = 11*o + 120. Calculate the lowest common multiple of (90/(-75))/(2/o) and 14. 126 Let z(w) = -w**2 + 2*w + 2. Let h be z(4). Let a(o) = o**2 - 2*o. Calculate the common denominator of 1 + 3/(60/(-86)) and a(h). 10 Let b = 295 - 250. Calculate the least common multiple of 45 and b. 45 Let c = -569 + 6296/11. Let a(q) = -22*q + 139. Find the common denominator of c and a(8). 11 Suppose 5*f + 8 = -7. Let g be 6 + -33*(4 - 6). Find the common denominator of -73/8 and (f/4)/(g/(-16)). 24 Let b = -54/31 - -801/620. Calculate the common denominator of (-214)/7*105/300 and b. 20 Calculate the smallest common multiple of ((-11)/2)/(67/(-938)) and 7. 77 Suppose -6 = -3*n + 24. Calculate the lowest common multiple of 2 and n. 10 Let p(c) = 23*c + 55. Suppose 4*x = 113 - 93. Calculate the least common multiple of 12 and p(x). 1020 Let r(z) be the second derivative of -z**3/6 + 5*z. Calculate the lowest common multiple of 9 and r(-12). 36 Let n = -59 - -59. Calculate the lowest common multiple of 18/16 - n - 22/176 and 44. 44 Suppose -5*z + 5 = 0, 3*d - 3*z - 8 = z. Let y = 3/20 + -289/60. What is the common denominator of y and (2/d)/(14/(-124))? 21 Let p = 516683/18 - 28713. What is the common denominator of p and 79/42? 126 Let a = 687/238 + -1/34. Find the common denominator of a and 55/152. 1064 What is the common denominator of (-33)/(-99) + (274/792 - 1) and -127/6? 396 Suppose -33 + 49 = 4*q. What is the common denominator of -73/3 and 4*q/48 - (-17)/(-21)? 21 Let z(n) = -n - 23. Let h be z(-15). Let f = h - -26. What is the lowest common multiple of f and 20? 180 Suppose -5*n + 42 = 2*m, -7*n = 5*m - 6*n - 82. Let w = 23 + -9. What is the lowest common multiple of m and w? 112 Let s = -5666678/105 + 53969. Find the common denominator of 34/35 and s. 105 Let c = 237 + -204. Calculate the smallest common multiple of c and 234. 2574 Find the common denominator of -15/32 and 122/6*-1*2/(-4). 96 Let s = 31 + -111. What is the common denominator of 73/18 and (-22)/s*(-4 - 2)? 180 Let f(o) = o**3 - 2*o**2 - 2*o. Let k be f(3). Suppose 0*c - 3 = k*c. Find the common denominator of 0 + c + 177/(-66) and -61/8. 88 Let u = -120/47 - -5921/2632. Calculate the common denominator of -113/72 and u. 504 Let f = -104 + 108. Let m = -6 + 19. Let k = m + -1. Calculate the least common multiple of f and k. 12 Let u = 109202 - 11793677/108. Calculate the common denominator of u and -101/36. 108 Let m(t) be the third derivative of t**4/24 - 37*t**3/6 - t**2. Suppose -17*r = -27*r + 110. What is the common denominator of m(r) and 19? 1 Let x = -326 + 374. Calculate the least common multiple of x and 96. 96 Let b = -55 - -27. What is the common denominator of -79/6 and -1 + 1 + (20/b - -1)? 42 Calculate the common denominator of (-2)/((-792)/494) - (-109)/(-218) and -44/27. 297 Suppose 0 = -3*m - 4*x + 51, -2*x = 3*m + x - 54. What is the lowest common multiple of 8 and (-172)/(-14) + ((-12)/m)/2? 24 Let v = 4561 - 3237. Let s = -16001/12 + v. Let f = -16 + 47/8. Find the common denominator of s and f. 24 What is the least common multiple of 56 and ((-212)/159)/((-2)/12)? 56 Suppose -5*g = 0, -2*g - 2*g = -4*r + 36. What is the smallest common multiple of r and 2? 18 Let r = 287335/123 + -2336. What is the common denominator of r and 40/9? 369 Let a = -439 + 509. Calculate the least common multiple of 6 and a. 210 Find the common denominator of 57/110 and (-11 - -7) + (-69)/(-40). 440 Let n(o) = -o**3 - 39*o**2 + 37*o - 102. What is the lowest common multiple of 9 and n(-40)? 18 Suppose 3*x - 2*l = 1588 - 490, -1104 = -3*x + 4*l. What is the lowest common multiple of x and 12? 1092 Suppose 15*w - 14*w - 44 = 0. Suppose -13*u + 14*u - w = 0. Calculate the smallest common multiple of u and 28. 308 Let f = 83369/28 + -8935/3. Find the common denominator of f and 89/392. 1176 Suppose 441 = 3*o + 3*r, -4*o + 429 + 147 = r. Let x = 47 - o. Calculate the common denominator of ((-9)/x)/((-9)/(-174)) and 39/14. 112 Calculate the common denominator of -19/50 and 0 - (1/5)/(81/693). 450 Let k be -3*8/(-4) + -2. Suppose 5*l = -3*p + 65, -k*l = -4*p - 25 + 5. Calculate the smallest common multiple of 110 and l. 110 Let i be (1/4)/((-13)/(-52)). Let r = i + -7. Calculate the lowest common multiple of 5 and ((-3)/(-9))/((-2)/r). 5 What is the least common multiple of 3/(-1) - -98*(1 + 0) and 9? 855 Le
{ "pile_set_name": "DM Mathematics" }
2/5*o**5 + 0*o - 8 + 0*o**3. Factor y(a). 2*a**4 Find q, given that 1/4*q**2 - 3/4 - 1/2*q = 0. -1, 3 Let l = 7 + -4. Let t be (-2)/l*9/(-24). Let -1/4*f**2 + 1/2*f + 0 - t*f**3 = 0. What is f? -2, 0, 1 Let q(g) be the first derivative of 1/9*g**6 + 0*g**2 + 0*g**3 + 0*g**5 + 0*g + 2 - 1/6*g**4. Suppose q(l) = 0. Calculate l. -1, 0, 1 Let n(j) = 2 - 3 - 3*j + j. Let w be n(-2). Let 0*y**4 - 15*y**2 + 11*y**3 + 7*y**w - 6*y**3 + 6*y - 3*y**4 = 0. Calculate y. 0, 1, 2 Let f be 0/2 - (-2)/7. Let k(v) = -2*v**2 - 9*v + 7. Let j be k(-5). Factor 0 - 2/7*c + f*c**j. 2*c*(c - 1)/7 Let g(o) = -o**3 + o**2 - o. Let p(n) = 10*n**3 - 50*n**2 - 55*n - 40. Let k(a) = 15*g(a) + p(a). Find z such that k(z) = 0. -4, -2, -1 Let j(w) be the third derivative of -1/12*w**3 + 1/48*w**4 + 1/60*w**5 + 0 + 0*w - 3*w**2. Let j(z) = 0. What is z? -1, 1/2 Let f be (-3)/(-6)*(30 - -2). Factor 0*r**3 - 8*r**2 - 19*r**3 - 4*r**5 - f*r**4 - r**3. -4*r**2*(r + 1)**2*(r + 2) Let g(q) be the third derivative of -q**6/360 + q**5/60 - 2*q**3/3 + 4*q**2. Let l(s) be the first derivative of g(s). Factor l(j). -j*(j - 2) Let j be 12 + 196/(-30) - 4/30. Factor j*f - 4/3 - 7/3*f**2. -(f - 2)*(7*f - 2)/3 Let 0 + 2/3*l + l**3 + 7/3*l**4 - 5/3*l**5 - 7/3*l**2 = 0. Calculate l. -1, 0, 2/5, 1 Factor -2/3*b**2 + 1/3*b - 1/3*b**3 + 2/3. -(b - 1)*(b + 1)*(b + 2)/3 Let t be -2*(9/(-2) - -3). Let w be (t/6)/(2/12). Solve -128/7*i**w - 96/7*i**2 - 24/7*i - 2/7 = 0 for i. -1/4 Suppose -6 = -q - 1. Factor 4/9*h**2 + 16/9*h**4 + 14/9*h**3 + 0 + 0*h + 2/3*h**q. 2*h**2*(h + 1)**2*(3*h + 2)/9 Let l = -2938 + 616981/210. Let q(j) be the third derivative of 0*j**3 + 1/525*j**7 + 0*j**5 + 0 + 0*j**6 + 2*j**2 - l*j**8 + 0*j + 0*j**4. Factor q(g). -2*g**4*(4*g - 1)/5 Let b = -33/2 + 248/15. Let o(t) be the third derivative of 0*t**4 + 0 + 0*t - b*t**5 + 2*t**2 + 1/3*t**3. Suppose o(x) = 0. Calculate x. -1, 1 Factor -36*f**2 - 16*f + 118*f**4 - 59*f**4 - 9 - 14*f - 18*f**3 - 62*f**4. -3*(f + 1)**3*(f + 3) Let d(b) = 16*b**5 + 15*b**4 - 5*b**3 - 5*b**2 + 7*b + 7. Let w(z) = 11*z**5 + 10*z**4 - 3*z**3 - 3*z**2 + 5*z + 5. Let x(o) = 5*d(o) - 7*w(o). Factor x(m). m**2*(m - 1)*(m + 2)*(3*m + 2) Let u be 4 + 25/(-10) + 1. Factor -4*j - 1/2*j**5 - 2 - 1/2*j**2 + u*j**3 + 1/2*j**4. -(j - 2)**2*(j + 1)**3/2 Suppose -j + 2*j - 2 = 0, 10 = 4*c + j. Suppose -c*q - 2 = 0, 3*i = -0*i + 4*q + 10. Factor 2*g**2 + 4*g + g - 3*g + i - 6. 2*(g - 1)*(g + 2) Let l(f) = -f**2 + 13*f - 26. Let u be l(10). Find k such that -3*k**3 - 4*k - 1/2*k**u + 0 - 6*k**2 = 0. -2, 0 Let y be 1/3 - (-143)/1521*3. Find w, given that 2/13 - y*w**3 - 14/13*w**2 - 4/13*w = 0. -1, 1/4 Let x(h) be the first derivative of -3*h**4/4 - h**3 + 3*h**2/2 + 3*h + 12. Factor x(d). -3*(d - 1)*(d + 1)**2 Let d(j) = 9*j**3 - 5*j**2 - 12*j + 13. Let x(z) = 5*z**3 - 3*z**2 - 6*z + 7. Let l(y) = 3*d(y) - 5*x(y). What is n in l(n) = 0? -2, 1 Let j(g) = -3*g**2 + 2*g + 1. Let c be j(-1). Let l be 1*(4/(-3))/c. Determine h, given that -1/3*h**3 + h**2 + l - h = 0. 1 Let o = -7 - -11. Determine q so that o*q**2 + 6*q**4 - 6*q**4 - 2*q**3 + 10*q**3 + 4*q**4 = 0. -1, 0 Let 1/2*g + 0 - 5/4*g**3 - 1/4*g**2 - 1/2*g**4 = 0. What is g? -2, -1, 0, 1/2 Let w = -4 - -7. Let p(k) be the second derivative of -1/63*k**7 + 2/9*k**4 - 1/9*k**w + 0 + 0*k**2 - 1/5*k**5 - 2*k + 4/45*k**6. Let p(g) = 0. Calculate g. 0, 1 Let h(l) be the first derivative of 2*l**5/25 - l**4/10 - 2*l**3/15 + l**2/5 + 2. Find w such that h(w) = 0. -1, 0, 1 Solve -14/5*o**2 - 2*o - 2/5 - 6/5*o**3 = 0 for o. -1, -1/3 Let i be -3 + -1*45/(-6). Let p = i + -19/6. Factor 1/3 + 1/3*t**4 - 4/3*t**3 - p*t + 2*t**2. (t - 1)**4/3 Suppose -41*j**5 + 88*j**5 + 9*j**2 - 44*j**5 - 9*j**4 - 6*j + 3*j**3 = 0. What is j? -1, 0, 1, 2 Let f = 27 + -77/3. Factor -1 - 1/3*b**2 - f*b. -(b + 1)*(b + 3)/3 Let f(r) = 6*r**2 - 4. Let n(s) = 7*s**2 + s - 5. Suppose 1 + 19 = -5*l. Let x(d) = l*n(d) + 5*f(d). Solve x(c) = 0 for c. 0, 2 Let s(w) be the third derivative of 2*w**7/315 - w**6/45 + w**5/36 - w**4/72 - 17*w**2. Factor s(l). l*(l - 1)*(2*l - 1)**2/3 Suppose 4*n = x - 1 + 9, -5*n + 10 = -5*x. Factor 1/5*y**3 + 0*y**n + 0 + 0*y + 1/5*y**5 + 2/5*y**4. y**3*(y + 1)**2/5 Let q = -20 - -24. Factor 0*g + 0*g**3 + 0 - 1/3*g**2 + 1/3*g**q. g**2*(g - 1)*(g + 1)/3 Let -2*w - 4*w + 6 - 3*w + 3*w**2 = 0. What is w? 1, 2 Factor 45/4*t**4 + 55/4*t**3 + 5/2*t**2 + 0*t + 0. 5*t**2*(t + 1)*(9*t + 2)/4 Factor -11*n**3 - 2*n**2 - 2*n**2 - 2*n**2 - 10*n**3. -3*n**2*(7*n + 2) Let j = 5 - 2. What is n in 0*n**j - 3*n**3 + 5*n**3 = 0? 0 Let c(m) = -2*m**2 - 1. Let v(o) be the second derivative of 0 - 1/2*o**2 - 1/12*o**4 - o + 0*o**3. Let j(q) = -4*c(q) + 6*v(q). Factor j(b). 2*(b - 1)*(b + 1) Let h(f) be the first derivative of -7 + 0*f**2 - 4/9*f**3 - 1/6*f**4 + 0*f. Suppose h(g) = 0. Calculate g. -2, 0 Let l(t) be the second derivative of -t - 1/30*t**6 + 1/60*t**5 + 0 + 0*t**3 + 1/18*t**4 + 0*t**2. Let l(g) = 0. What is g? -2/3, 0, 1 Suppose 0 + 8*v**2 + 4/3*v**3 + 16/3*v - 2*v**4 - 2/3*v**5 = 0. Calculate v. -2, -1, 0, 2 Let o be -15*3/(-9) - 3. Let v be (-55)/(-15) + (-6)/o. Factor -v*s**2 + 0 + 4/3*s. -2*s*(s - 2)/3 Let p(i) = i**2 + 5*i + 2. Let g(z) = -3 - 20*z + 14*z + 0. Let k(o) = 2*g(o) + 3*p(o). Factor k(f). 3*f*(f + 1) Let c be (-3*1)/((-8)/72). Factor -c*o**3 - 91*o**2 - 27*o + o**2 - 24 - 57*o. -3*(o + 2)*(3*o + 2)**2 Let j(p) be the third derivative of 1/105*p**7 - 7/240*p**5 + 23/480*p**6 + 0 - 1/84*p**8 - 7/96*p**4 - 3*p**2 - 1/24*p**3 + 0*p. Let j(t) = 0. Calculate t. -1, -1/4, 1 Let p = 16 - 12. Let h(o) = -2*o + 8. Let k be h(p). Factor k*c + 0 - 2/5*c**5 + 2/5*c**3 + 2/5*c**2 - 2/5*c**4. -2*c**2*(c - 1)*(c + 1)**2/5 Let u(r) = -r + 7. Let k be u(5). Let p be 1/(3/(-2) + k). Determine t, given that 0*t - 4*t**2 + 3*t - 5*t - p*t**3 = 0. -1, 0 Let t(z) be the second derivative of 0 + 0*z**2 - 3*z + 1/70*z**5 + 0*z**4 + 0*z**3. Factor t(r). 2*r**3/7 Suppose -2*d + 39 = 5*n - d, 0 = 5*n - 5*d - 15. Let b = n - 4. Factor -2 - 2*u**b + 2. -2*u**3 Let y(n) be the first derivative of n**5/5 - 3*n**4/4 + n**3/3 + 3*n**2/2 - 2*n + 1. Suppose y(v) = 0. Calculate v. -1, 1, 2 Let u(d) = -6*d**2 - 12*d - 23. Let k(w) = 2*w**2 + 4*w + 8. Let y(v) = 17*k(v) + 6*u(v). Determine t so that y(t) = 0. -1 Let q = -35 - -11. Let l be 3 - 1 - (-32)/q. Factor -l*o**2 + 2/3 + 0*o. -2*(o - 1)*(o + 1)/3 Factor -26*t + 5853*t**3 - 5848*t**3 + 6*t. 5*t*(t - 2)*(t + 2) Suppose 0 = -2*d + a - 4 - 0, -a + 4 = -3*d. Let d - 3/4*i - 3/4*i**2 = 0. What is i? -1, 0 Let s(y) be the third derivative of -7*y**6/900 - 3*y**5/100 - y**4/30 - 2*y**3/3 + 2*y**2. Let u(w) be the first derivative of s(w). Let u(k) = 0. What is k? -1, -2/7 Let q(l) = 4*l**4 - 2*l**3 + 12*l**2 + 2*l - 10. Let c(v) = 3*v**4 - 2*v**3 + 11*v**2 + 2*v - 9. Let r(s) = -6*c(s) + 5*q(s). Factor r(k). 2*(k - 1)**2*(k + 1)*(k + 2) Let k(v) = -v**3 - 5*v**2 + 5*v - 4. Let m be k(-6). Factor -9/7*r**m - 3/7*r + 0 + 12/7*r**3. 3*r*(r - 1)*(4*r + 1)/7 Suppose -6*d**2 + d**2 + 10*d**2 + 5*d + 40*d = 0. What is d? -9, 0 Let i(a) be the first derivative of -2*a**3/21 - 2*a**2/7 + 6*a/7 + 3. Factor i(j). -2*(j - 1)*(j + 3)/7 Factor 0*o**2 - 1/2*o**4 - o**3 + o + 1/2. -(o - 1)*(o + 1)**3/2 Let i(u) = -2*u**5 + 2*u**4 - 2*u**2 - 4*u + 6. Let k(w) = -3*w**4 + 2*w**2 - 7 + 2*w**5 + w**2 + 5*w + 0 + 0*w. Let y(f) = 7*i(f) + 6*k(f). Factor y(v). -2*v*(v - 1)*(v + 1)**3 What is s in 6*s + 0*s - 4*s**2 + 2*s = 0? 0, 2 Let v(w) = 4*w**2 + 20*w + 44. Let h(l) = l**2 + 4*l + 9. Let s(r) = 14*h(r) - 3*v(r). Solve s(x) = 0. -1, 3 Let j be 3*5/90 - 1/6. Let m(q) be the second derivative of 1/6*q**4 + j + 2*q + 0*q**2 + 0*q**3 + 1/10*q**5. Factor m(s). 2*s**2*(s + 1) Let u(o) be the second derivative of o**9/216 - 2*o**8/105 + 11*o**7/420 - o**6/90 - 5*o**3/6 + o. Let b(f) be the second derivative of u(f). Factor b(s). 2*s**2*(s - 1)**2*(7*s - 2) Suppose 3*g = -2*u + 6, -3*u - 4*g + 5 = -3. Let f(z) be the third derivative of -1/240*z**5 + 1/24*z**3 - 1/96*z**4 + u - z**2 + 1/480*z**6 + 0*z. Factor f(t). (t - 1)**2*(t + 1)/4 Suppose -6*w = 3*o - 9*w + 3, 2*w - 8 = 0. Find i, given that -1/2*i**4 + 3/2*i**o - 3/2*i**2 + 1/2*i + 0 = 0. 0, 1 Let m(s) be the third derivative of -s**7/525 + s**5/150 - 14*s**2. Factor
{ "pile_set_name": "DM Mathematics" }
e nearest to 0.6 in 0, -2/25, -0.4, r? 0 Let g = -54 + 47.6. Let b = -5.97 - g. Let w = 0.73 - b. What is the closest to 1 in -8, w, -4/3? w Let x = -23 + 24. Let i = 8 - 8.2. Let g be (-105)/21 - (-1 - 2). Which is the nearest to g? (a) x (b) -0.1 (c) i c Let b = 7443 + -7443. What is the closest to 38 in b, -2, 5, -1? 5 Let y = 296.9 - 313. Let m = -18.1 - y. Which is the nearest to 0.2? (a) 0.1 (b) m (c) -1 a Let g = 2.852 + 0.048. Let d = g - 19.9. Let j = d + 14. What is the closest to -1/4 in j, 4, 3/2? 3/2 Let i = 9659/33782 + -1/4826. What is the closest to 78 in -3/2, 3, i? 3 Let h = 358 - 323. Let l be h/(-140)*4/(-6). Which is the closest to 1/3? (a) -0.13 (b) -1 (c) l c Let p = 1007/17 + -11043/187. What is the closest to 41 in p, -0.4, 2? 2 Let l = 0.41 + -0.31. Let w = 1.35 + -0.69. Let x = 1.16 - w. Which is the nearest to l? (a) x (b) 0.6 (c) 0.4 c Let k be 0 - (-75)/171 - ((-10010)/(-418) - 24)*-2. Let s(r) = r**2 + 3*r + 1. Let y be s(-1). What is the closest to y in k, -1/5, -0.5, -1/3? -0.5 Let a = -179635/3 + 59878. Let i = -4 - -4.17. What is the closest to a in i, -3, 3? i Let p be 206*5/22 - 394/(-2167). What is the closest to -1 in -5, -0.099, 3/4, p? -0.099 Let i be (-3)/(-165)*(98 + -88). Which is the nearest to -2/7? (a) i (b) 0.3 (c) 4/3 (d) 2/7 a Let i be (-9)/2*768/5760. Let d = 3199/11 - 291. Let z = -119/12 + 10. Which is the nearest to -3? (a) d (b) z (c) i c Let y = 6353 - 6352. Which is the nearest to y? (a) 0 (b) 72 (c) 3 (d) 1/4 d Let j = 9/4 - 5/2. Let h = 0.7 - 0.3. Suppose 0 = 14*t + 162969 - 162899. Which is the closest to 2? (a) t (b) j (c) h c Let s = 3807 + -3805.5. Which is the closest to 2? (a) -7 (b) s (c) -2/15 (d) -0.5 b Let c = -851.11 + 852.11. Let u(r) = 2*r + 10. Let v be u(-7). Let q be (2/(-1))/(1/v). What is the nearest to c in -5, q, 3? 3 Let l = 613.0644 + -0.0644. Let y = -614 + l. Let d = -8 + -4. What is the nearest to -1 in d, -2, y? y Let d = -184 + 271. Let y = 88 - d. Let p be 3/18 - (-1)/2. Which is the nearest to -2/15? (a) -1 (b) y (c) p c Let m = -3/1573 + -239/1573. Let o(g) = g**3 + g**2 - 22. Let q be o(0). Which is the nearest to -0.1? (a) 0 (b) q (c) m c Suppose 81 = -2*o + 77. Which is the nearest to -0.1? (a) -15 (b) o (c) 3 (d) -1/2 d Let v = 173 - 170.84. Let d = 1.96 - v. What is the closest to d in -2/5, -3, 2? -2/5 Suppose 3295*f + 5 = 3300*f - 0. Which is the closest to 0? (a) -72 (b) f (c) -3 b Let i = 187.711 + 0.289. Let l = 184 - i. Which is the nearest to 8? (a) 0.5 (b) 2 (c) l b Let j = -161 + 947. Let m = j - 788. Let c = -1 + 3. What is the closest to m in 3, c, -1? -1 Let t = 6512 - 6511.9. Which is the nearest to t? (a) -4 (b) 28/11 (c) -2/5 c Let j = -0.245 - -3.915. Let k = 3.27 - j. Which is the nearest to 54? (a) -2/7 (b) k (c) -3 (d) -2 a Let m = 877001.93 - 877002. Let x = 138 + -410/3. Which is the nearest to 4? (a) -5 (b) m (c) 4 (d) x c Let w = 63.63 - 71.63. Which is the closest to w? (a) -2 (b) 22/9 (c) -3 c Let u be (2/10)/((-1)/2). Let q = 17.52 + -16.8. Let j = 4.28 + q. Which is the closest to 0? (a) -4 (b) u (c) j b Let t = -37702 - -188502/5. What is the nearest to 51 in -5/2, t, -2? t Let f = -52040 - -468358/9. Let z = 8.1 - 0.1. What is the nearest to 1 in f, z, 0? 0 Suppose 2*x = -5*l + 8949 - 8973, 3*l = -x - 13. Which is the nearest to -2/3? (a) 5 (b) -3603 (c) l c Let l be (-1*(-3)/12)/(13/(-52)). Let m = 2315 - 2318. Which is the closest to l? (a) m (b) -3/7 (c) 3/2 b Let b be (-920)/160 - (-5 - 0). Let a be 5/(-7)*88/110. What is the nearest to 1 in 2/11, b, a, -3? 2/11 Let h = 1 - 5. Let u = 74741/35 - 10678/5. Which is the closest to u? (a) 0.1 (b) h (c) -0.5 a Suppose -348 + 1338 = -10*m. Let x = m - -33. Let u = x + 68. Which is the closest to u? (a) -2 (b) 0 (c) -1 b Let b = 0.1 - -0.1. Let i be ((-3)/(-8))/(6/4). Let t = 39.1877 - 40.1877. What is the closest to i in b, t, 1/2? b Let t = -30.88 + 26.88. What is the nearest to 3/4 in -1, 11, t, -3? -1 Let t = -1915 + 1914.7. Let p = -0.67 + 0.57. Let d be (1 - 0)*(2 - 2). Which is the closest to p? (a) d (b) t (c) 3/7 a Let h = 477 - 223. Let y = -1271/5 + h. Which is the closest to -3? (a) -1/4 (b) -4 (c) y b Let z be (-3 - 26/(-6)) + (-576)/756. Which is the closest to 27? (a) z (b) 4 (c) -3/8 (d) -3 b Let x = -2 - -3. Let w = -56029/5 + 11205. Which is the nearest to x? (a) w (b) -3 (c) 4 a Let y be (2 + 26/(-10))*1. Let l = 58066/3 + -19189. Let h = l - 165. Which is the closest to 0? (a) -1/3 (b) y (c) h a Let b = -10409 + 10412. What is the closest to -1/3 in b, 0.1, 7? 0.1 Let i = 65.2 + -67.2. Let t(c) = -c**3 + 9*c**2 + 8*c + 42. Let z be t(10). What is the nearest to 1 in z, 3, i, -0.1? -0.1 Let o = 1068 - 1055. What is the nearest to -10 in 2/5, -2/3, o? -2/3 Let n = -46.099 - -0.099. Let z = 45 + n. Let w = -72.3 - -72. Which is the nearest to z? (a) -3 (b) 4/9 (c) w c Let s = 554 - 615. Let f = s + 60. Let l = -2.95 - 0.05. Which is the nearest to f? (a) 2 (b) l (c) 0.1 c Let g(c) = 3*c**2 + 25*c - 293. Let t be g(11). Let r = t - 347. Let w be 1/15*(1 + 2). What is the nearest to r in 5, -3, w? -3 Let k be 1/2*(-4 + 8). Suppose k*o = -o - 3. Let i = -0.7 - 0.3. Which is the closest to o? (a) i (b) -5 (c) 0 a Let t = -58 - -68.2. Let h = t - 10.2. Which is the closest to 0? (a) -0.5 (b) 3 (c) h c Let x = 3124.7 + -3693. Let m = -569 - x. Which is the nearest to -2/3? (a) -3 (b) -0.4 (c) 5 (d) m d Let r = -15/4 + 13/4. Let q = -53680 + 53676. Which is the closest to -1/6? (a) 2 (b) q (c) r (d) 2/13 d Let g be -2*(60/58 - 1). Let h = 674996.8 - 674997. Which is the closest to -0.1? (a) h (b) -0.5 (c) g c Let c(l) = -3*l**2 + 11*l - 6. Let f(a) = 4*a**3 + a**2 - 4*a + 2. Let v be f(1). Let t be c(v). What is the closest to 10 in 0.1, t, -0.2, -0.3? 0.1 Suppose h - 3*y = 5*h + 73, 4*y + 44 = -2*h. Let o be ((-36)/32)/((-12)/h). Which is the nearest to -34? (a) -1 (b) o (c) 4/5 b Let o = -0.1141 - -12.6541. Let s = 0.46 + o. What is the nearest to s in -0.4, -2/7, -0.5? -2/7 Let r = 22.12 + -22.32. Let j = -0.03 - 2.97. Let t be 1 + (-11)/(231/20). Which is the nearest to t? (a) r (b) -2/3 (c) j a Let k = 16.53 + -16.43. Which is the nearest to 2/5? (a) 1/5 (b) 2/9 (c) k b Let d = 520 - 517. Let q = -12.3 + -0.7. Which is the nearest to 0.2? (a) q (b) 0.3 (c) d b Suppose m + 4*v - 580 = 0, 7*v - 4*v + 2415 = 4*m. Let o = 599 - m. Which is the nearest to 0? (a) 2 (b) o (c) 5/4 b Let x = -6055 + 30273/5. Which is the closest to -2/3? (a) x (b) -26 (c) 2 a Let j(c) = -12*c - 12. Let d be j(6). Let f be (-2)/d*6 - (-3)/21. Let l = -0.02 - -3.02. What is the nearest to f in -0.4, -3, l? -0.4 Let g be (6/10)/(-3) + (-18)/(7920/22). Let m = 1060/7 - 151. What is the nearest to g in 0.3, 1, m? 0.3 Let s = -147/2 + 297/4. Which is the nearest to -2/11? (a) s (b) -1 (c) -0.3 c Let t = 51 + -67. Let r = -72 - t. Let m = -52 - r. What is the nearest to -1 in m, -0.9, -0.1? -0.9 Let l = 0.3405 - 0.0405. Let g = 1 + -0.9. Which is the closest to 2? (a) 3 (b) l (c) g a Let x = 18 - 14. Let z = 124/1321 + -2690672/11889. Let j = 226 + z. Which is the nearest to 0.1? (a) x (b) -5 (c) j c Let m = -2756.8 - -3371. Let i = m - 560. Let l = 54 - i. Which is the closest to l? (a) 3 (b) -5 (c) 0.1 c Let c = -0.6 + 0.1. Suppose -2*r + 4*l - 192 = 0, -3*r - 166 = l + 101. Let n be 2/(-4) - -9*10/r. What is the nearest to -0.1 in 5, n, c? c Let i = 0.15 - 7.25. Let a = i - -7.6. Let n = -13 + 8. What is the nearest to 0 in n, 1/5, a? 1/5 Let h be 2200/(-32)*-4 + -5. Let k = 271 - h. Let x = 0.01 - 0.41. What is the closest to 3/2 in x, 3, k? k Let v = -0.07677 + 0.10677. What is the closest to 0 in -2/9, -0.07, v? v Let i be (-46)/42 - 460/(-322). Which is the nearest to 0.2? (a) -5 (b) -92 (c) i c Let r = 27.64 - 27.24. What is the closest to 2 in r, 5, -3/8, 2/7? r Let j = -0.08643 + 0.08643. What is the nearest to 10 in 2/37, -0.1, -3, j? 2/37 Let v be 3/(-63) + (-1)/(-3). Let m(u) = 3*u - 46. Let f be m(14). Let o be f - (-32)/(-40)*27/(-6). What is the nearest to o in v, 1/4, -4? 1/4 Let c be (11 - 110/((-121)/(-11)))*(1 + 3). What is
{ "pile_set_name": "DM Mathematics" }
-3 Suppose 11 = 5*q + 4*p, -17 = -5*q - 3*p - 5. Solve 0 = -4*t, -4*j + 16 = q*t - t for j. 4 Let q(r) = r**2 - 3*r - 23. Let g be q(7). Suppose -4*l + 2 = -u, -g*l - 2 - 2 = 2*u. Suppose -1 = -i + 3. Solve 9 + l = 5*b - 3*o, -i*o + 8 = 0 for b. 3 Let s be ((-8)/4)/(3/(-3)). Let h(w) = 7*w**2 - 7*w + 2. Let g be h(s). Solve 0 = f + 4*m - 14, 0*f + g = 5*f + 2*m for f. 2 Suppose 0 = 4*g + j - 22, -4*j = -2*g - 7*j + 26. Let x be (-245)/(-77) + (-4)/22. Suppose 0 = x*t + 1 - 4. Solve -3*f + 2*q - t = -0*f, -8 = -g*f + 5*q for f. -3 Let f = -363 - -429. Suppose f = 11*b + 22. Solve 3*i + a + 17 = 0, -2*a + 7 - 1 = -b*i for i. -4 Let z be ((-42)/(-70))/(-9 + 465/50). Solve -9*l + 13*l + 6 = 3*d, -2*l - z*d = 10 for l. -3 Let a(v) = v**2 - 44*v - 466. Let f be a(53). Suppose 0 = 5*r + 3*i - 76 + 29, -i + 18 = 2*r. Solve -4*t - 4*y - 24 = 0, -t + 5*y = -f - r for t. -2 Let v be 180/(-2070) + ((-6)/23)/(6/(-669)). Solve -4*k = 5*n + v, 3*k = 5 - 8 for n. -5 Let w(l) = l**3 + 10*l**2 - 8*l + 21. Let h be w(-11). Let f = h + 19. Suppose -2*i = -f*i + 25. Solve 5*y - 20 = c, y + y - c - i = 0 for y. 5 Suppose 15 = 4*o - 15*z + 16*z, 6 = -2*o + 4*z. Solve 0 = k - o*t - 10, 5*k + 10 = -t - 4 for k. -2 Let t = 35 - 34. Let r be t*(1/(-6) + (-73)/(-6)). Suppose -3*a - 1 = 6*l - l, -2*a + r = -3*l. Solve 0*j - a*j + 6 = -3*v, 4*j = 3*v + 6 for v. -2 Suppose 19*t + 42 = 12*t. Let g be 8 + (-17)/((-17)/t). Solve 3*u = -2*h + 22, -2*h + 0*u - g = -3*u for h. 5 Let s be (40/(-12) - -3) + (-16)/(-3). Suppose 11 = 4*x + 5*u, 5*x - s*u + 13 - 38 = 0. Solve -2*o + 2*d - 2 = -x, 0 = 2*o + 2*d - 14 for o. 4 Suppose -5*l - 138 = 107. Let n = 59 + l. Let o be -1*(-2)/n - (-11)/(-55). Solve -2*m + 17 = -3*p, o = m - 3*m + 4*p + 22 for m. 1 Let z(r) = r**3 - 55*r**2 + 71*r - 894. Let h be z(54). Solve 138*f - 4*n - 28 = 141*f, 5*f + n = -h for f. -4 Let v be (72/(-36))/(-2 + (-9)/(-6)). Solve -24 = 3*r - 3*d, -v*d - 17 = r - 8*d for r. -5 Suppose -9 = 4*r - 5*f, -248*r - 2*f = -246*r - 18. Solve -b + 5*b + 2*j - 28 = 0, 0 = -r*b + 5*j for b. 5 Let t = 8919 + -8919. Solve t = -6*b + 10*b + h + 24, -5*h - 5 = -3*b for b. -5 Suppose -58 = -25*k + 57 + 10. Solve 9*t - 9 = 14*t + 3*q, 5 = -k*t - 5*q for t. -3 Let q(k) = 5*k - 8. Let b(y) = 3*y - 7. Let t(v) = -3*b(v) + 2*q(v). Let h be t(-3). Solve 3*j - 4*x = -17, -6 = -h*j + 5*x - 22 for j. -3 Let z = 980 - 978. Solve -z*o = 4*r - 14, -r + 94 = 90 for o. -1 Suppose -917*r + 618*r = -1495. Solve -3*q + 2*h = -7, -9 - r = -5*q + h for q. 3 Suppose -3*u - 70 = -38*u. Suppose -4*s + 58 + 30 = 0. Suppose -3*h + 5*w = -u*h - s, 5*w = -20. Solve -3*g + 14 = 5*t, -3*t + h = -3*g + 8*g for t. 4 Let a be 6 + 42/(-11 + 4). Let x(d) = -d**3 + 5*d**2 - 4*d + 1. Let u be x(4). Let k(j) = 10*j**2. Let y be k(u). Solve 3*w + 4*z = w, -5*w - 5*z + y = a for w. 4 Let t be 32/(-56) + 81/7. Solve 2*l - w + 0 = -t, l = -5*w for l. -5 Let h = 24 + -33. Let c = -3 - h. Suppose 0 = -4*x + 2*x + c. Solve y - x = 3*t - 2, y = -5*t + 9 for t. 1 Suppose 4*l - 5*x = -13, 3*l + 572*x = 570*x + 19. Solve 15 = l*q - 4*a, 3*q + 3*a + 2 + 4 = 0 for q. 1 Let b = -101 + 137. Suppose -14 = -5*u + b. Solve 0 = 2*d + 4*h - u, 0 = 2*d + 3*h - 9 + 2 for d. -1 Suppose -3*j + 4 = -11. Suppose d - 2*d - 15 = -3*w, -j*w = 2*d - 25. Suppose 4*a + 0*a - 12 = 0. Solve w*q - a*g + 0*g = 12, -q + 5 = 2*g for q. 3 Suppose -y + 27 = -3*z + 183, -4*y + 277 = 5*z. Suppose 0 = 7*n + z - 81. Solve 3*w - 7 = n*w - 4*j, -3*j + 3 = 0 for w. -3 Let s = -1516 + 1517. Solve 4*q + 20 = -4*z, 2*z - s = -5*q - 23 for z. -1 Let u(v) be the third derivative of -7/3*v**3 - 13/24*v**4 + 0*v + 1/60*v**5 + 0 + 16*v**2. Let x be u(14). Solve x*h - 2*h - 2 = 2*k, 4*k + 10 = 2*h for k. -2 Let q = 516 - 511. Solve -b = q*z + 23, 5*z + 36*b + 17 = 37*b for z. -4 Suppose -2*k + 2*b = 1021 - 1053, 0 = 2*k + b - 50. Solve -24*u - 9 = -k*u - 5*p, 3*p - 1 = -u for u. -2 Let m(g) = g**3 - 2*g**2 - 4*g - 14. Let s = -261 - -265. Let y be m(s). Solve 4*p = 3*r + 5, -y*r - r - 14 = 5*p for r. -3 Let x(j) = 6*j**2 - 19*j. Let m be x(4). Suppose -5*d - 4*r + m = -d, 5 = -d + 4*r. Solve -5*t - d*k + 7 = 0, 0 = -0*t + 3*t - 5*k + 23 for t. -1 Suppose p - 5*n = 12, 25 + 71 = 4*p - 4*n. Solve l - 3*l - 4*z = 26, 4*l + p = -3*z for l. -3 Let u be 4/(1196/1469) + (-4)/(-46). Solve 0 = -z - 2*n - u, -2*n - 20 = 14*z - 10*z for z. -5 Let n = 1387 - 1383. Solve -12 = 2*o + 2*t, 7*o + n*t + 26 = 2*o for o. -2 Suppose 2*z - 2 = 3*n + 4, z - 3 = -5*n. Let g(y) = 3*y**3 + 29*y**2 - 43*y + 14. Let v be g(-11). Solve n = 5*a - 5*w - 15, -v = -2*w - 1 for a. 4 Let v be 3184/(-199) - (-52)/2. Solve 5*r + 10 = 5*f + v*r, 3*f - 5*r = 38 for f. 6 Suppose -3*u = -2*y + 507 - 496, -3 = -y - u. Solve y = j + 3*j + p, -2*p + 8 = -3*j for j. 0 Suppose 10*l - 31*l + 899 = 8*l. Solve -z + 3*t - 25 = -l, -2 = t for z. 0 Suppose 13*z - 1079 = 780. Solve 0 = -r - 2*k + 5, 0 = z*r - 144*r + k + 2 for r. 3 Suppose 4*t - 5528 = -5516. Solve 0 = 3*a + t*f + 12, 4*a + f + 11 + 2 = 0 for a. -3 Suppose l = 3*g + 2, 2*l - 7 = 3. Let q be 210/45 + 10/(-6) + g. Suppose -q*i = -4*f + 72, -5*f + 2*f - 3*i + 66 = 0. Solve -3*j + 25 = 2*j, t - 4*j = -f for t. 0 Suppose 4*y - 5*h = -2408, 11*y - 6*y + 5*h + 3010 = 0. Let n = y - -605. Solve r + 4*o - 17 = 0, o = -3*r + 15 + n for r. 5 Let z = 249 + -365. Let v = 125 + z. Solve -5*h - 7 = -3*h - r, h - v = -2*r for h. -1 Suppose 6 + 108 = 31*q - 41. Solve -5*x + 11 = w, x - 4*w + 12 = q*x for x. 2 Let x(b) = -b**3 + 3*b + 3. Let c be x(0). Solve -t + 4*f = 8*f - 16, -t + c*f - 12 = 0 for t. 0 Let u = 3625 + -3606. Solve 0 = 2*s + v - 5*v + 20, 4*s = v - u for s. -4 Suppose -43*k + 32*k + 143 = 0. Suppose -7 - k = -5*n, -x - 4*n = -18. Solve 6*c - 2*c = 2*f + 2, -5*f + 3*c + x = 0 for f. 1 Let f(d) = d**3 - 29*d**2 - 30*d + 32. Let q be f(30). Suppose 0 = -8*t + q - 0. Solve p - 7 = u, -p + t*u = 8 - 24 for p. 4 Let j be ((-14)/(-21))/(-2 - 96/(-45)). Suppose 0 = r + 4*r + 3*u + 435, -445 = j*r + 5*u. Let k = r + 89. Solve -5*f = -2*o - 4, -k*f - 5*o - 7 = 3 for f. 0 Let u be 2/7 + 288/7 - 3207/7483. Solve 0 = -4*l + 5*h + 25, 0 = 3*l + 2*h - u + 28 for l. 5 Let l(k) = k**2 + 6*k - 2. Let o be (-15 - -1)*(-2)/(-4). Let p be l(o). Solve x = p*i - 22, 3*i = -5*x + 33 - 3 for i. 5 Let b(d) = -d**3 + 7*d**2 + 3*d + 8. Let g be b(6). Let n be 53/(1 + (10 - 10)). Suppose -3*s - n = -g. Solve -12 = -7*q + 4*q, 3*t = -s*q + 27 for t. 5 Suppose 36*p - 1005 + 321 = 0. Solve -4*g - 18*h + p*h + 7 = 0, -h = -5*g + 8 for g. 1 Let m = -5593 + 5597. Solve 2*s + 10 = -d, m*d - 92*s + 95*s + 15 = 0 for d. 0 Let r(j) be the third derivative of 17*j**4/24 - 13*j**3/6 - 4*j**2 + 10. Let c be r(2). Solve 2*k - 18 = 3*l - 7*l, 3*k = -4*l + c for k. 3 Let p(q) = -q**2 + 31*q - 28. Let l be p(30). Suppose 2*b - l*c = 14, 3 = 4*b - 3*b + c. Solve -2*s - b = -w, -8 = -s - 3*w + 7 for s. 0 Suppose 27 = -2*j + 93. Suppose -j = -6*a + 5*a. Let z(b) = -44*b + 400. Let l be z(9). Solve 0 = -2*n + 5*p - a, -l*p + 23 = -2*n - p for n. -4 Suppose 5*v + 4*h - 54 = 0, 5*v + 12*h = 14*h + 78. Solve 0 = 3*t - i, -12*t + 17*t + 3*i + v = 0 for t. -1 Let m(o) = 30*o + 544. Let i be m(-18). Suppose x + 2*q + 0*q - 5 = 0, 0 = -2*x - 2*q + 8. Solve -j = x*r - 2, 4*r = i*j - 3*j + 12 for j. -4 Let l(n) = -2*n**3 - 5*n**2 - n. Let a be l(-3). Suppose 38*r = 42*r - a. Solve -5*g = k + 5, 0*k + r*k - 13 = -g for k. 5 Let i(q) = 3*q**2 + q + 3. Let l(u) = u + 1. Let n(m) = -i(m) + l(m). Let d be n(4). Let y = d + 60. Solve 0 = p - z + y, -p - 3*z = -z - 5 for p. -5 Suppose -1599 = 8*l + 1513. Let p = -387 - l. Solve p*v - 1 + 0 = -3*h, 0 = -4*h - 4 for v. 2 Let u = 5188 + -5182. Solve -5*n + 2*c - 10 = 0, -2*c - 26 = -2*n + u*n for n. -4 Let l(a) = 4*a + 35. Let x(f) = -4*f - 36. Let s(u) = -6*l(u) - 7*x(u). Let i be s(-9). Solve 5*z + 5*q + 9 = -i, 2*z - 4 = 3*q for z. -1 Let j be 20/570 - (-6253)/2109. Solve 3*r - 4*m + 10 = 0, -3*m = j*r + 29 - 5 for r. -6 Suppose -6552 = 40*p - 14*p. Let t = p - -254. Solve 0 = 4*m - 5*v - 18, 3*m + t - 10 = v for m. 2 Let a(u) = -8*u - 57. Let v be a(-7). Let g be 5 - (3/v + 3). Solve -4*i = -2*i + 3*x - 2, 5*i + g*x = 5 for i. 1 Suppose 29*q + 37 = 356. Suppose -2*l = 5*z + q, l - 4*l = -2*z - 12. Let g = 1 +
{ "pile_set_name": "DM Mathematics" }
. h**(199/1155) Simplify (c**23)**(-36)*(c**(-18)/c)/c**(-31) assuming c is positive. c**(-816) Simplify ((m**(-1/17)*m**(1/18))/(m/(m*m**(-10/9))*m**14))**17 assuming m is positive. m**(-4625/18) Simplify (((q*q**(-17))/(q*q**(2/57)*q))/((q/(q/q**(-12/7)))/q)**(2/19))**(-27) assuming q is positive. q**(63738/133) Simplify ((i/(i/(i*i**(-1/5))))/i*i**1)**(-8)/((i**(2/7))**(-11)/((i**(1/4)*i)/i*i**(-3/2)/i)) assuming i is positive. i**(-771/140) Simplify (l**(6/5)/l**(13/4))**23*((((l**(-6)/l)/l)/l)/l*l**(-6))**(-10/3) assuming l is positive. l**(371/60) Simplify (b**(-7)/b*b*(b/b**(-3))/b)**(3/14)/(b/b**0*b*b*b**1*b**(-3/5)*b/(b/(b/(b*b**(-1/3))))) assuming b is positive. b**(-482/105) Simplify (n**(-1/4)*n)**26*(n/(n/(n**0/n)))**(-44)*(n**(-1/4))**(-47)*(n**(-1))**(4/15) assuming n is positive. n**(4499/60) Simplify y*y**(-1/24)*y*y*y*y**(-32)*(y**(-22))**(-9) assuming y is positive. y**(4079/24) Simplify ((a**(1/4))**(-13/2)*((a**(1/3)*a*a)/a)**(4/11))/(((a**(-1/5)*a)/a)**(-24))**(-13) assuming a is positive. a**(80863/1320) Simplify ((i**(-2))**3/(i*i*i/(i*i*i/((i**1*i)/i)))**(22/7))**(-1/13) assuming i is positive. i**(64/91) Simplify ((x*x*x**(-2/7)*x/(x/x**(-7)))/(x*x*x/(x**(-1/2)*x*x*x)*x*x*x*x**(4/5)/x))/(x**(-9)/(x*x/x**(-3)))**12 assuming x is positive. x**(11159/70) Simplify (((l**1)**(-25)/(l**7/l**10))**(1/44))**(1/37) assuming l is positive. l**(-1/74) Simplify ((x*x/x**(-1/27))**(-32)/((x/(x*x*x**(1/4)))/((x/(x/x**(1/20)))/x)))**(-32/5) assuming x is positive. x**(280304/675) Simplify (v/v**(-35)*v*((v/(v/v**(-20)*v))/v*v*v)/v*(v**(-18))**(-41))**(-23) assuming v is positive. v**(-17342) Simplify ((((y**(2/13)/y)/((y*(y/(y*y**(-1)))/y)/y*y))/(((y/y**(1/4))/y)/y*(y**(-2/23)*y)/y))**50)**(-1) assuming y is positive. y**(15225/598) Simplify ((x**1/x)**(-4/13))**(-1/71)*x*x**2*x*x*((x**(1/4)/x)/x)/x*((x*x*x*x**1/x)/x)**(-47) assuming x is positive. x**(-367/4) Simplify ((n**(-6)*n)/(n/(n*(n**(1/7)/n)/n))*n*n**(-3)*n**1)/((n**(1/12)/n)/(n/(n*n**(1/13)))*(n**(-2/3)*n)**(1/14)) assuming n is positive. n**(-2563/364) Simplify ((q*(q*q/(q**(-11)*q)*q)/q)/(q**14/q)*((q/q**11)/q)/(q*(q**(-6)/q)/q))**(-10) assuming q is positive. q**40 Simplify (((h**0*h*h*h)**5/((h/(h/((h*(h*h**6)/h)/h)))/(h**5*h)))**(16/5))**(-39) assuming h is positive. h**(-1872) Simplify (((r**(1/8)*r)/r)**(-7/3)/(r*r**(-4/19)*r**(1/5)))**(-41) assuming r is positive. r**(119761/2280) Simplify v**8*v/((v/(v/(v/v**8)))/v*v)*(v**(-2/7))**(3/2)*((v**(-3)*v)/v**11)**16 assuming v is positive. v**(-1347/7) Simplify (a**0)**(-6)*a**(-4)*a**5/a*(a**3/(a/(a/a**(-4))))**5 assuming a is positive. a**35 Simplify (m**10*m**(-2/5))**(-4/11)/((m*m**(-2/7)*m*m)**(-50)/(m*m/(m/m**(-1)))**(-13/4)) assuming m is positive. m**(50906/385) Simplify ((b**(-1/3))**(-11)/(b*b**1)**(-3))/((b/(b*b*b**(1/4)*b*b))/(b*b*b**3*b*b*b)*b**4/b**(2/13)) assuming b is positive. b**(2663/156) Simplify ((z*z**(-2/7)*z)/z)/z**(-4/9)*z/z**(-3)*(z**(-2)*z)/z*(z**1/z**2)**(-20) assuming z is positive. z**(1459/63) Simplify ((w*w**33*w**12)/(w*(w*w/w**(-1)*w)/w*w*w**(-30)))**7 assuming w is positive. w**497 Simplify ((((p*p*p**(-4/17)*p)**(-9/8))**3)**(-8/21))**(-6/11) assuming p is positive. p**(-2538/1309) Simplify ((((h/h**(-2/7))/(h**(-1/3)/h))/(h/(h*h/h**(2/15))*h*h**(1/6)*h))**(1/33))**(-3/38) assuming h is positive. h**(-277/87780) Simplify (t**(6/23)*t*t/t**3*(t**11/t*t)**17)**(-20/11) assuming t is positive. t**(-85680/253) Simplify ((f**(-14)*f*f*f**32/f*f*f*f)/(f**(-5/14)*f*f/(f*f**(-30))*f))**(1/4) assuming f is positive. f**(-135/56) Simplify x**(-4)*x**(-1/8)*(x*x*x/x**(-1)*x*x)**(-2/25)*((x/(x**(2/15)/x))/((x*x**8)/x*x))**(-1/13) assuming x is positive. x**(-31639/7800) Simplify ((((o/o**(-40))/o*o)/o)/(o*o/(o/o**(-4/15)*o)*o))/((o*o*(o*o*o**27*o)/o)/(o*o**0/o)) assuming o is positive. o**(124/15) Simplify ((((k/(k/k**0))/k**2)/((k/(k/(k*k/k**6*k)))/(k*k/k**(-1/2)*k*k)))**(-3/13))**(-6/19) assuming k is positive. k**(99/247) Simplify (r*r**(-2/5)/r*r)**(-8)*r**3*((r/(r*r*r*r**(1/6)*r*r))/r)/r*r*(r**(1/2)*r)/(r**(1/2)*r)*r/r**(-4)*(r/(r**(-1)*r))/r assuming r is positive. r**(-59/30) Simplify (u*(u**(-3/2)/u)/u*u**(2/27)*u)**30*u*u**4/u*u*u/(u*u*u**(-7))*(u*u**(-6)*u*u*u)/(u/(u/(u*u**(1/4)*u))) assuming u is positive. u**(-1297/36) Simplify ((d/d**1)**(-1/2)*d**(-2/45)*d**(-6/7))**(11/7) assuming d is positive. d**(-3124/2205) Simplify (((i/i**(3/2))/(i**(-4)*i))/(i**(2/19)/(i**(1/18)*i)))**(-2/59) assuming i is positive. i**(-20/171) Simplify ((s*(s/(s**(-1)*s))/s)**0)**(-11/5)*(s*s**(-1/2)*s)**(-2/107)*(s**(-2))**(-38) assuming s is positive. s**(8129/107) Simplify ((o**(26/7)*o**(-2/71))/(o*o**(2/11)*(o**(-11/4)*o)/o))**(6/7) assuming o is positive. o**(344703/76538) Simplify (((x/x**(-1))/x)/(x*x**8*x))**(-1/27)/((x/(x/(x/(x*(x*(x*x**(-5))/x)/x*x)*x)))/x**6)**44 assuming x is positive. x**(133/3) Simplify (((p/p**(3/5))/(p/p**(-1)))/(p/(p/p**(-1/2)))**40)/(((p/(p*(p**(-3)*p)/p))/p**(4/9))/(p/(p**1*p*p)*p**(1/4))) assuming p is positive. p**(2537/180) Simplify ((n*n*n/((n*n*n/n**2)/n))**(-39)*(n/n**(1/8))/n**(-6))/((n**2)**(-3/7)*n**(-6/7)*n**(1/5)) assuming n is positive. n**(-30411/280) Simplify ((s/(s**0/s))**(-3/7)*s**(1/3)/(s/(s**25*s)*s))**(-31) assuming s is positive. s**(-15283/21) Simplify ((g**10/g)/(g/g**1))**(-3/17)/(((g**(-1/8)*g*g)/g)/g**(-1/6)*g**(-2/3)*g*g*g**(3/4)) assuming g is positive. g**(-641/136) Simplify ((x/x**(3/4))/x**(-2/21))/((x/(x*(x*x**(2/13)*x*x)/x))/(x/((x**(-1/6)/x)/x)))*((x*x**(-4))/x*x**(-6))**(2/27) assuming x is positive. x**(48403/9828) Simplify (((f*f/(f/(f/(f/f**0)))*f)/f)/((f*f**6)/f)*(f**(2/19)/f)/f*((f*f**(2/7)*f*f)/f)/f)/((f/((f**2/f)/f))**(1/96))**(-43) assuming f is positive. f**(-65897/12768) Simplify ((s**(2/5)/s*s*s**1)/(s/(s*s**(-1/2)*s))**34)/(((s/(s*(((s*s*s*s*s/(s*s**(1/4))*s)/s)/s)/s)*s)/s)**(-31)/(s**(-1/3)/s**(-5))) assuming s is positive. s**(-1871/60) Simplify (p*p**(2/13)*p*p**(-4))**(1/46)*(p**4*(p**(-2)/p*p)/p)/(((p/p**(-6))/p)/(p/p**(2/25))) assuming p is positive. p**(-30798/7475) Simplify ((y*y**44*y)**(2/105)*y/(y/(y/y**(-46)))*y*y*y**15/y*y*y*y)**(-4/21) assuming y is positive. y**(-28088/2205) Simplify ((n**4/n**(2/3)*n*n**0*n*n*n**(-5))**(-17))**(-31) assuming n is positive. n**(2108/3) Simplify (((m/m**11)/(m*m**(-6/11)))/(m**5/m)**(-3/4))**50 assuming m is positive. m**(-4100/11) Simplify (((a*(a**(3/5)*a)/a)/a**(2/3))/((a/a**(-2/13))/(a**0*a)))/(((a/(a*a**(-1/4)))/a*a/a**(-9))/((a*a*a**(-6))/(a*a*a**8/a))) assuming a is positive. a**(-16747/780) Simplify (((m**3/(m/(m/(m*m*m/m**(-23)))*m))**(1/9))**(-42))**(-1/39) assuming m is positive. m**(-112/39) Simplify n**3*n**2*n**(2/11)/(n/(n/(n*(n**(2/5)/n)/n))*n)*n**(1/3)*n*n/n**(3/4)*n*n/(n*n/((n*n**3)/n)*n)*n**(-3) assuming n is positive. n**(3541/660) Simplify ((m**(-2/5))**(-3/11))**(-29)/((m*(m**0/m)/m)**(-14/11))**(-48) assuming m is positive. m**(3186/55) Simplify (((l/(l/(l*l/(l/l**12*l)))*l)/l)/(l*l**(5/4)*l))**(26/3)*(l*l/(l*l**(2/7))*l**(-7)*l)**(-2/27) assuming l is positive. l**(28813/378) Simplify ((z**(1/8)*z*z)/(z*z/(z*z**4*z)))**(-2/159)*((z**(-1/3)*z)**45)**(-5/4) assuming z is positive. z**(-23899/636) Simplify (c*(c*c**(2/9))/c*c*c**(-11)*(c*c/((c*c**1)/c))/c**14)**40 assuming c is positive. c**(-7840/9) Simplify ((v*((v/(v/((v/v**1*v)/v)*v))/v*v)/v*v)**(-1/5)*(v**(-1))**(-2/175))/((v/v**(-3))/(v/(v/(v*v**(-3)))))**41 assuming v is positive. v**(-43048/175) Simplify ((l*l**5)**(-6/19)*(l**(-5)/l)**(4/37))**(-2/13) assuming l is positive. l**(3576/9139) Simplify ((s**(-1/2))**22)**11*((s/(s*s**0*s))**37)**10 assuming s is positive. s**(-491) Simplify (((l*l**(4/11)*l)/l)**18/(((l/(((l/l**4)/l)/l*l))/l)/l*l**(31/2)))**(-4/23) assuming l is positive. l**(-266/253) Simplify b/b**(-9/2)*b*b**(2/3)*b*(b/(b*(b/b**(2/9))/b))**(-1/12) assuming b is positive. b**(220/27) Simplify (a/(a**(-2/21)*a*a)*a**(-2)/a)**(-15/8)*(a*a**2*a*a*a*a*a*a**(-6))**27 assuming a is positive. a**(1717/28) Simplify (((x*x/(x/(x/(x*x/(x*x/x**(2/15))*x*x))))/((x*x**(-4/9))/x))**(8/3))**(-3) assuming x is positive. x**(-112/45) Simplify ((i/((i*i**(-6))/i))/i*i/i**12*(i/i**(-2))/(i**(1/3)*i))**(-3/19) assuming i is positive. i**(10/19) Simplify ((v**(-13)*v)/(((v*v/v**(-7))/v*v*v*v*v)/v*v
{ "pile_set_name": "DM Mathematics" }
re the prime factors of g? 2, 11 Let g(z) = z**2 - 2*z + 238. Let r be g(0). Let h be r/63 - 2/(-9). Suppose -2*j + 52 = -h. What are the prime factors of j? 2, 7 List the prime factors of (-4)/(8/(-2)) + 320 + 5. 2, 163 Let z(o) = o**2 + 10*o - 15. Suppose -4*d + 36 = -4*h, 0*d = -4*h + 2*d - 44. Let v be z(h). Suppose v = q + q. List the prime factors of q. 2, 3 Suppose 5*d + 85 = -5*c, 2*d + 2 = d. Let r be 146/(-6) - (-2)/(-3). Let q = c - r. What are the prime factors of q? 2, 5 Let h(d) = d**3 + 12*d**2 - 2*d - 22. Let b be h(-12). List the prime factors of (-2)/3 + (b - 1280/(-12)). 2, 3 Let i = -58 + 62. Suppose -i*o + 6*o - 5*f - 492 = 0, -f - 712 = -3*o. What are the prime factors of o? 2, 59 What are the prime factors of 21/(-42)*(-388 + -2)? 3, 5, 13 Let y = -15 - 25. Let f = y + 76. List the prime factors of f. 2, 3 Let t = 3252 + -1940. What are the prime factors of t? 2, 41 Suppose -4*r + 400 = 4*j - r, 3*j + r = 295. What are the prime factors of (-1)/(-2) - (j/(-2) + 0)? 7 Let h = 29 - 19. Let y = 13 - h. What are the prime factors of y + ((-75)/(-3) - 0)? 2, 7 Let h(n) be the second derivative of n**3/6 + 83*n**2/2 + 44*n. List the prime factors of h(-27). 2, 7 Suppose y + 3 - 189 = 0. Let q be (-8)/32 + y/8. Let c = 39 + q. What are the prime factors of c? 2, 31 Let h(k) = 81*k**2 + 3*k + 13. What are the prime factors of h(-3)? 733 Suppose 0 = -0*z + 5*z + 5*x - 5, -2*z - 5*x = 4. Suppose -z*q - 4*q + 910 = 0. List the prime factors of q. 2, 5, 13 Suppose -3*a + 352 = 4*x, 0 = 3*a - 5*x - 0*x - 397. Suppose -3*u = -7*u + a. Suppose -u = -r - 4. What are the prime factors of r? 3 Suppose -2*k - a + 1458 = 3*a, 4*k + 5*a - 2919 = 0. What are the prime factors of k? 17, 43 Let s(k) = 5*k - 4. Let u(i) = -30*i + 25. Let x(g) = 25*s(g) + 4*u(g). Let a be x(-1). List the prime factors of -7*(a + -2 + 4). 3, 7 Let j(b) = -21*b - 1. Let d be j(-5). Suppose -3*m + 93 = -3*l, l - d = -3*m - m. List the prime factors of m. 3 Let m be 1/(-3 - (-4 + 516/519)). Let i = 433 - m. What are the prime factors of i? 2, 5, 13 Let m(d) = d**3 + d**2 + 4. Let s be m(-2). What are the prime factors of 13 - (s/3 + -4)? 17 Let w be ((-12)/(-21))/(6/(-147)). Let y = -41 - -20. What are the prime factors of -1 - y - w/14? 3, 7 Let g(c) = -c**3 - 2*c**2 + 20*c + 3. Suppose -6*d = 2*d + 64. List the prime factors of g(d). 227 Let u(h) = 5*h**2 + 7*h + 30. What are the prime factors of u(-12)? 2, 3, 37 Suppose 5*x = -2*l - 15, -3*l - 13 + 3 = 5*x. Let w = 17 + x. What are the prime factors of 176/w - 3/(-9)? 3, 5 Let n = -1551 - -2603. List the prime factors of n. 2, 263 Let m(c) = -c**3 - 4*c**2 + c + 1. Let k be m(-4). Let h be (2/k)/((-8)/(-36)). List the prime factors of 140/12*(0 - h). 5, 7 Let a = -82 - -329. What are the prime factors of a? 13, 19 Let c be 2/2 - 2*573/(-6). Let r = -133 + c. List the prime factors of r. 59 Let s(i) = 67*i - 245. What are the prime factors of s(13)? 2, 313 Suppose -7*s = 158 + 52. Let q = s - -250. What are the prime factors of q? 2, 5, 11 Suppose 74 = -8*r + 266. List the prime factors of r/18 + 701/3. 5, 47 Suppose -2*z - 1 = -7. Let d(c) = -4 + c**3 - 6*c - 5*c**2 + 2*c + 0*c**z. List the prime factors of d(6). 2 Suppose -2*u + 51 + 21 = 0. Let f = 73 + u. List the prime factors of f. 109 Let i(m) = -m**3 - m**2 + 2*m + 941. List the prime factors of i(0). 941 Let t(i) = 7*i**2 + 6*i - 1. Let w = 17 - 21. List the prime factors of t(w). 3, 29 Let j be (-2)/8 + (-157)/(-4). Let v = -226 - -247. Suppose -5*q + j = -v. List the prime factors of q. 2, 3 Suppose 0 = -0*v + 3*v - 3*g - 6, 2*g + 13 = 5*v. Suppose 0 = h - 5*p + 18, v*p = -2*h - 0*p + 16. What are the prime factors of (-48)/(-32)*11*h? 3, 11 Let j be (-6)/21 - 4/(-14). What are the prime factors of (j + 2 - 26)*8/(-16)? 2, 3 Let a = 1265 + 1140. List the prime factors of a. 5, 13, 37 Suppose 0 = 4*f + 8 - 12, -f = -3*a + 1508. List the prime factors of a. 503 Let s be (-4)/(-18) - (-2 - (-175)/(-63)). Suppose -s*j + 4*d = -512, -117 - 271 = -4*j - 4*d. List the prime factors of j. 2, 5 Let g = -21 + 26. Suppose k - 3*k - 15 = -3*u, -g*k - u = 12. List the prime factors of (15 - k) + -1 + 5. 2, 11 Let m = -143 + 167. Suppose 4*r - 246 = -2*u, -413 = -4*r - 5*u - 158. Suppose -5*q + m = 2*a - 3*q, 2*q = 4*a - r. List the prime factors of a. 2, 7 Let d = -4 - -8. Let k(p) = -2*p**2 + d - 4*p**3 + 8*p**3 + 7*p**2 - 3*p**3 - 2*p. What are the prime factors of k(-5)? 2, 7 Let j be -4 + (-6)/2 + 72. Let t = j - 32. What are the prime factors of t? 3, 11 What are the prime factors of (-18)/(-6) - 1/(1/(-525))? 2, 3, 11 Let t = 232 + -326. Let d = 1 - t. What are the prime factors of d? 5, 19 Let r be (-26)/(-13) - (1 - 3). Suppose 0 = -5*y + 3*d + 881, 2*y - r*d = 234 + 110. List the prime factors of y. 2, 89 Suppose -2*o - 110 = -5*x - 7*o, -2*o - 110 = -5*x. Suppose -x = -4*h + 2. Suppose -5*j + 3*w + 53 = 0, -3*w = j - 1 - h. List the prime factors of j. 2, 5 Let y = -56 - -31. Let a be ((-4)/(-5))/((-1)/y). Suppose 2*w - a = -5*f, 2*w = 6*w - 3*f - 14. What are the prime factors of w? 5 Let k(j) = 11*j**2 - 14*j + 102. List the prime factors of k(14). 2, 1031 Let p = -4 + -2. Let u be (4/p)/((-1)/(-3)). List the prime factors of ((-1)/u)/(7/126). 3 Suppose -6*m - 4*k = -3*m - 7772, 0 = -m + 6*k + 2554. List the prime factors of m. 2, 17, 19 Let d be 1 + 2 + -1 + 2. Suppose -4*z = -0*z - 5*p + 13, -d*z - 9 = -p. List the prime factors of z*(1/(-2) - 4). 3 What are the prime factors of -2*3870/(-40)*12? 2, 3, 43 What are the prime factors of 46548/(-90)*(-10)/4? 3, 431 Suppose -5*l = 2*t - 0*t - 409, -421 = -2*t - l. Suppose -4*w + r = 5*r - t, 3*w - 119 = 5*r. Let j = -9 + w. What are the prime factors of j? 3, 13 What are the prime factors of (4 - -138)/(32/688)? 43, 71 Let b(h) = h**3 + 2*h**2 - 5*h - 3. Let w be b(-3). Suppose w*g + o - 27 = 0, -g + 5*o - 7 = -0*g. Let y(x) = 3*x - 6. What are the prime factors of y(g)? 2, 3 Let a(h) = -h**3 - 23*h**2 - 22*h + 43. Let y be a(-22). Suppose y*r = 40*r + 402. List the prime factors of r. 2, 67 Suppose -14*h + 3 = -17*h. What are the prime factors of ((-340)/30)/(h/6)? 2, 17 Suppose -304 = -2*l + 3*j, -4*l + 2*j + 606 = -3*j. Suppose 2*p = 2, i + p = -i + l. List the prime factors of i. 2, 37 Suppose -4*d = -5*f + 2228, -433 = -f - 0*f + 5*d. List the prime factors of 9/(-2)*f/(-24). 2, 3, 7 Let w = -632 + 1262. What are the prime factors of w? 2, 3, 5, 7 Let g be 1 + 3 + -9 + 120/10. Let m(n) = -n**3 + 8*n**2 + 9*n - 16. List the prime factors of m(g). 2, 3 Let n(s) be the second derivative of s**4/12 + 7*s**3/6 + 6*s**2 - 14*s. List the prime factors of n(-13). 2, 3, 5 Suppose -18*s + 14*s + 636 = 0. Suppose s = -5*c + 559. What are the prime factors of c? 2, 5 Let g = -1186 - -2420. What are the prime factors of g? 2, 617 Let u = 18 + -27. Let s = -12 - u. Let i(b) = b**3 + 5*b**2 - 5*b - 2. List the prime factors of i(s). 31 Let x = -4500 - -8120. List the prime factors of x. 2, 5, 181 Let f(l) = -4*l - 8*l - 7*l + 4*l. Let r be f(2). Let h = r - -64. List the prime factors of h. 2, 17 Suppose 4*i = 2*d - 6, d + 0 = 5*i + 3. Suppose 11 = o - d. Suppose o + 16 = 2*l. List the prime factors of l. 3, 5 Let l(f) = f + 7. Let b = -1 + -15. Let x be l(b). Let n = x - -52. List the prime factors of n. 43 Let p(g) = -4*g + 28. Let y be p(7). Suppose y = 4*c + 5*d - 242, c - d = 4*d + 48. List the prime factors of c. 2, 29 Suppose -5*c + q = -0*q - 8707, 3*q - 1735 = -c. What are the prime factors of c? 1741 Let n be (-6)/15 + (-1116)/(-15). Suppose 3*l = -v + n, 2*l - 40 = 2*v - 164. List the prime factors of v. 5, 13 Suppose -5*a = 5*a - 240. List the prime factors of (5 - 251)*(a/(-9) + 2). 2, 41 Let g(w) = w - 5. Let o be g(5). Suppose p + 2 = -0*p - 3*l, -l + 2 = o. Let m(k) = k**2 + 4*k - 4. List the prime factors of m(p). 2, 7 Suppose -2*g = -5*o - 4112, 13*g + 2*o = 10*g + 6130. What are the prime factors of g? 2, 3, 11, 31 Let i be (-2 - 84/(-4))*-1. Let h = -16 - i. Suppose -2*w = 8, 8*w + 12 = -2*s + h*w. What are the prime factors of s? 2 Let m be 60/14 + 4/(-14). What are the prime factors of m + -2 + 2 - (3 - 4)? 5 Suppose -5*w = -10 - 55. Suppose 5*i - 26 = -2*t, 0*i + 4*i - w = t. Suppose 2*l +
{ "pile_set_name": "DM Mathematics" }
e 0 = 5*r - 722 - 103. Let k = r + -115. Calculate the highest common factor of k and 20. 10 Let b(g) = -g**2 - 31*g + 84. Let s be b(-33). Calculate the greatest common divisor of 2 and s. 2 Let f(j) = -j**2 + 20*j - 29. Let n be f(12). Suppose 70*k = n*k + 114. Calculate the greatest common factor of k and 19. 19 Let j(i) = 9*i + 1. Let r be j(1). Let f = -12 + 17. Suppose 13 = 4*u + f. Calculate the greatest common factor of r and u. 2 Let f = -2 - -12. Suppose 5*q - 2 = 13. Suppose 5*s + 0*s = -15, -3*u = -q*s - 159. Calculate the greatest common factor of f and u. 10 Let j(n) = 11*n**2 + 2*n + 1. Let q be j(2). Let t(g) = -g**3 + 131*g**2 - 393*g + 1397. Let o be t(128). What is the greatest common factor of q and o? 49 Let x be (-4)/6 - (-89060)/183. Calculate the greatest common factor of 108 and x. 54 Suppose -5*g = 8*m - 4*m - 85, -3*m + 64 = 4*g. Let h = -65 - -165. Calculate the greatest common divisor of m and h. 20 Suppose -4*z + 4*v + 2365 + 2095 = 0, z - 4*v = 1127. Calculate the highest common divisor of z and 11. 11 Suppose -20*k - 416 = -33*k. What is the highest common factor of 88 and k? 8 Let o(t) be the first derivative of -t**4/2 + 3*t**3 - 3*t**2/2 + t - 11. Let w be o(4). Suppose -z + 1 = -4. Calculate the highest common factor of z and w. 5 Let z(a) = 5*a**2 - 25*a - 52. Let v be z(-8). Calculate the greatest common factor of v and 39. 39 Let t = 29 + -20. Let m be 573/t - (-2)/6. Suppose -m = -s - 4*d, d = -4*d - 10. What is the greatest common divisor of 9 and s? 9 Suppose -30*i + 3954 = 984. Calculate the highest common factor of 144 and i. 9 Suppose 0 = -2*b - 30 + 6. Let s(a) = a**2 + 10*a + 9. Let r be s(b). Let k(h) = h**2 - 3*h - 1. Let q be k(4). Calculate the greatest common factor of r and q. 3 Suppose -2857*t = -2848*t - 3564. Let p = 37 + -1. What is the greatest common factor of t and p? 36 Suppose 3*f = 3*h - 24, 5*h - f = -0*f + 32. Suppose -n = n - h. What is the greatest common factor of 15 and n? 3 Suppose 2*y + 1 = -7, 0 = -5*b + y + 329. Suppose b*w - 165 = 60*w. Calculate the highest common factor of 66 and w. 33 Let j be (-7)/((2/1)/(-12)). Suppose 5*a - 114 = -2*s, 2*a + 3*s - s - j = 0. Let n be 6/(-24) + (-23)/4 + 14. Calculate the highest common divisor of a and n. 8 Let a(y) = -y**3 + 3*y**2 - 3*y + 308. Let w be a(0). Calculate the greatest common factor of 252 and w. 28 Let x = -3 + 22. Suppose -5*j - 45 = 3*g - 136, -g = -4*j - x. Let a be (224/(-2))/(-4) - 1. What is the highest common factor of a and g? 27 Suppose -5*a + 4*u = -186, 4*a + 4*u = 5*a - 50. Let r = a + -27. What is the greatest common factor of 63 and r? 7 Let c = 677 - 369. Calculate the highest common factor of 88 and c. 44 Suppose -6*j + j = -105. Let a be (7/j)/(1/15). Suppose 2*n = n + a. What is the greatest common factor of n and 10? 5 Let g be 3 + (3/9)/(1/(-4299)). Let i be 2/(-12) - g/12. Calculate the highest common factor of i and 17. 17 Let l = -181 - -269. Let f = 18 + -7. What is the highest common divisor of l and f? 11 Let j(v) = -v**3 + 17*v**2 + 21*v + 24. Let y be j(18). What is the greatest common divisor of y and 117? 39 Let o(q) = -q**3 + 4*q**2 + 7*q + 1. Let g be (-20)/6*(-3)/2. Let z be o(g). Calculate the highest common divisor of 22 and z. 11 Let n = -1122 - -1136. Calculate the greatest common divisor of 686 and n. 14 Suppose 4*r - 2*c = -6, 2*r + 5*c + 18 = c. Suppose -2*l = -0*l + 2. Let u be ((r - 0) + -4)/l. What is the greatest common divisor of 28 and u? 7 Let i(g) = 8*g**2 - g - 7. Let q be i(4). Calculate the highest common factor of q and 13. 13 Let s(b) = 9*b + 75. Let m be s(-8). Calculate the highest common factor of 2 and m. 1 Suppose t - 15 = 5. Suppose 3*u + n = 2*n + 28, t = 2*u - n. What is the greatest common factor of 64 and u? 8 Let t = 9 + 1. Let p be 5/t - (-238)/4. Let w(d) = 25*d**2 - d. Let f be w(1). What is the greatest common factor of p and f? 12 Let s be ((-7 - -8)*-1)/((-2)/72). What is the greatest common divisor of 396 and s? 36 Let l be ((-30)/(-25))/(5/(2325/6)). Calculate the greatest common factor of 217 and l. 31 Suppose 168 = 3*o - 0*o - 3*u, -320 = -5*o - 5*u. What is the highest common factor of 108 and o? 12 Let x = 297 - 233. What is the greatest common divisor of x and 32? 32 Let r be (-4)/(10/(-6) - -1). Suppose r*c = c. Let a be 3 - c - (1 - 4). Calculate the greatest common divisor of 24 and a. 6 Let u(b) = 5*b - 5*b + 23 + 2 - b. Suppose -5*y - 53 = -3*g, -g - g + 4*y = -38. Let a be u(g). Calculate the highest common divisor of 84 and a. 14 Let p = -50 + 47. Let c be (p + 2)/((-5)/15). Calculate the greatest common factor of 6 and c. 3 Let y be (1 - 9 - -713) + 9. Calculate the highest common factor of 42 and y. 42 Suppose 47*s - 42*s = 125. Suppose -3*k + 2 = -4*k. Let o be k/3*(-8 - s). Calculate the greatest common factor of 11 and o. 11 Let c be ((-90)/4)/(15/(-20)). Let r(l) = 4*l**2 - l - 15. Let p be r(4). What is the highest common divisor of p and c? 15 Let d(y) = y**3 - 7*y**2 + 4*y - 10. Let v be d(7). Let q = 15 - 14. Let b be 3 - 3 - q - -3. Calculate the greatest common divisor of b and v. 2 Suppose -2*k - 71 = -3*k. Let i = k - 50. What is the highest common divisor of 14 and i? 7 Let l be (-11 - -14)/(6/10). Suppose 98 = l*m - 112. Suppose 4*g = i - 4*i + 38, -3*i - 5*g + 43 = 0. What is the highest common divisor of i and m? 6 Let t be (5201/4458)/(1/54). Suppose -3*a + a - 3*l = -30, 0 = -l - 4. Calculate the highest common factor of t and a. 21 Let s(m) = 0*m**2 - 3 + 2*m**2 + 5 + 1. Let w be s(0). Calculate the greatest common factor of 5 and w. 1 Let x be 38/((-3)/(12/(-8))). Let n(c) = -c + 209. Let v be n(0). What is the highest common divisor of x and v? 19 Let x(r) = 9 - 2 + 0 - 10*r. Let y be x(-7). Suppose 0*u + 21 = 3*u. What is the highest common divisor of y and u? 7 Let n(f) = -79*f + 2950. Let u be n(37). Suppose r + 2*b - 53 = 0, 0*r + 5*r - 221 = b. Calculate the greatest common divisor of r and u. 9 Let n be ((-1)/1)/((-1)/109*1). Let i = 249 - n. Calculate the highest common factor of i and 56. 28 Let k be (72/(-14))/((-20)/210). Let p = 8 + -5. Suppose 4*j - 6 = p*j. Calculate the greatest common divisor of k and j. 6 Let c = -257 + 321. What is the greatest common divisor of c and 1216? 64 Let z = -66 - -131. Let i = -28 - -80. Suppose 0 = -j + 3*j - i. Calculate the greatest common divisor of j and z. 13 Suppose -4*v = v - 100. Suppose v = 2*i + 54. Let d = i - -19. What is the highest common divisor of d and 16? 2 Suppose -83 = -2*y - i, -5*y - 44 = -5*i - 244. Calculate the greatest common factor of y and 1312. 41 Let w(j) = -j**3 + 9*j**2 + 6*j + 2. Let h be w(9). Let d = -71 - -155. What is the greatest common factor of d and h? 28 Suppose 2*d - 5*m = 473, 4*d + 5*m - 7*m - 938 = 0. Calculate the highest common divisor of d and 26. 26 Let a be 50/45*(26 - -1). Calculate the greatest common factor of 285 and a. 15 Suppose 4*x - 4*h = -1656, 6*x - 4*x + h = -813. Let m = 607 + x. Let l be 1/3 - (-106)/6. Calculate the highest common divisor of l and m. 18 Let h be -10*8/((-16)/22). What is the greatest common divisor of 88 and h? 22 Suppose 0 = -3*f + 3124 + 584. Suppose -4*x = -f - 12. What is the highest common factor of 24 and x? 24 Suppose 3*u = -u + 608. Let d = u - 133. Calculate the highest common divisor of d and 209. 19 Suppose 3*b = -0*b + 12. Suppose 2*c - 89 = 3*h, -2*c + 15 + 77 = -4*h. Suppose -q - b*q = -c. Calculate the highest common divisor of 32 and q. 8 Let i be (207/2)/((-132)/(-3168)). What is the highest common divisor of i and 92? 92 Let r be (-147 - -1)/(-3 - -1). Suppose -2*i - 2*l + 7 + 39 = 0, -3*i = 2*l - r. Let n = 18 + i. Calculate the greatest common divisor of 18 and n. 9 Let m = 354 + -321. What is the greatest common factor of m and 3? 3 Let h = -2 + 18. Let m = -15 + 23. Calculate the highest common divisor of h and m. 8 Suppose -5*g - 12 = -2. Let r(j) = -4*j**3 + 2*j**2 + 2*j + 1. Let w be r(-1). Let m = w - g. What is the highest common divisor of m and 14? 7 Let i(q) = 2*q - 13. Let o be i(4). Let s be (-24)/o - 24/30. Suppose 20 = 2*j + 4*n, j - 4*j = n - 10. Calculate the highest common divisor of j and s. 2 Let t = -25 + 29. Suppose -2*p - q + 230 = 87, 3*q
{ "pile_set_name": "DM Mathematics" }
+ (sqrt(720) - (3 + sqrt(720))) + sqrt(720) + ((sqrt(5) - sqrt(125))*6*4 + 5)**2. -936*sqrt(5) + 46105 Simplify (sqrt(315)*-2*3*2)/(((sqrt(42)/sqrt(3))/sqrt(2) - sqrt(7)) + sqrt(7) + sqrt(7) + sqrt(7) + (sqrt(21)/sqrt(3) - sqrt(7))*2) + 3 + 4. -12*sqrt(5) + 7 Simplify ((sqrt(85) - (-5*sqrt(85)*-4 - sqrt(85))) + (sqrt(85) - 5*(-4*sqrt(85) - sqrt(85))))/((sqrt(245) - 3*sqrt(245)) + sqrt(245) + sqrt(10)/sqrt(2)*3). -2*sqrt(17) Simplify (1*sqrt(2)*5 - 4*sqrt(128) - ((sqrt(288) - (0 + sqrt(288))) + 4)*-3)**2. -648*sqrt(2) + 1602 Simplify 3*(sqrt(13) + (3*sqrt(52) + sqrt(52))/sqrt(4) + -2 + sqrt(1053)) + ((-1 + sqrt(1053) + 4 - (sqrt(1053) - (sqrt(1053)*2 + 2)))*-4)**2. 2922*sqrt(13) + 67786 Simplify 0 + (-6*3*(sqrt(45) - sqrt(1620))*-3)/(3*sqrt(81)/(sqrt(18)/sqrt(2))*-5). 18*sqrt(5) Simplify -4 + ((4 + -1 + 3*(1 + sqrt(243)) + sqrt(243) + (sqrt(243) - (-5 + sqrt(243)*-2)) + 4)*-1)**2. 1890*sqrt(3) + 12128 Simplify ((5*-6*(sqrt(99) + -3*sqrt(99) - sqrt(99))*-3)/(3*(sqrt(9) - sqrt(81)/sqrt(9)) - sqrt(90)/sqrt(490)))**2. 39293100 Simplify ((sqrt(4)/(1*sqrt(2)))**2 - (sqrt(2)*-4 - sqrt(2))*-2) + (-2 + sqrt(72) - sqrt(1568)). -32*sqrt(2) Simplify (sqrt(156)/(sqrt(6)*-3) + -4*(sqrt(26)*1 - sqrt(26)))/((sqrt(1728)*-1)/((sqrt(24)*-1)/sqrt(4))). -sqrt(13)/36 Simplify 1*(-6*(-1 + sqrt(1053) + -5 + -3 + sqrt(1053) + 0) + (sqrt(1053) - 2*(sqrt(1053) + 3) - (-4*1*sqrt(1053) + sqrt(1053)))). -90*sqrt(13) + 48 Simplify 5*(-3 + -1*(sqrt(200)*2)/sqrt(10)*-5*4*1). -15 + 400*sqrt(5) Simplify 3*(6*3*sqrt(88)/(sqrt(56)/sqrt(7)) + (2*(sqrt(352) - (sqrt(352) - -3*sqrt(352))))/sqrt(8)). 18*sqrt(11) Simplify -4 + -1 + 4*(2 + (1 + sqrt(80))**2 + -3) + -3. 32*sqrt(5) + 312 Simplify ((sqrt(190) + (-1*sqrt(190) - sqrt(190))*1 + sqrt(190))/((sqrt(5) + sqrt(25)/sqrt(5))*2))/((sqrt(72)/(-1*sqrt(12)))/(sqrt(12)*2)). 0 Simplify -2 + (3*(3*1*(-1 + sqrt(3)))**2 - -4*sqrt(12)/((sqrt(20)/sqrt(5) + sqrt(4))*3)). -160*sqrt(3)/3 + 106 Simplify (-1*(sqrt(117) - (-5 + sqrt(117) + -1) - sqrt(117) - (sqrt(117) + (-1*sqrt(117)*4 - sqrt(117))))*-4*-4)**2. 27648*sqrt(13) + 278784 Simplify 5*(sqrt(42)/sqrt(6)*-3 + sqrt(7) + (-5 + sqrt(63)/sqrt(9) - sqrt(7)))*-2*6*6. 1800 + 720*sqrt(7) Simplify -2*(-4*sqrt(539) + 0 + 2)*-4*6 + -5. -1344*sqrt(11) + 91 Simplify ((sqrt(2744) + (sqrt(2744) + sqrt(2744)*1)*-4 + sqrt(2744))*5)/((sqrt(64)*-2*-3)/(-1*sqrt(1152))). 420*sqrt(7) Simplify 1*(-2*(-1 + sqrt(245) + 0) - (3 + sqrt(245) + 1*sqrt(245) - (5*2*sqrt(245))**2))*-4. -97996 + 112*sqrt(5) Simplify (sqrt(2016) - (sqrt(2016) - sqrt(2016)*4) - sqrt(2016) - 6*(sqrt(14) + sqrt(14)*-3))/((sqrt(40)*2)/sqrt(5)*-1). -12*sqrt(7) Simplify 4 + (-2*(sqrt(3) + -1)*-4)**2 + 3 - (-1*(sqrt(24) + sqrt(24) + (sqrt(3456) - -1*sqrt(3456)))/(sqrt(128)*6))**2. -128*sqrt(3) + 12455/48 Simplify ((sqrt(330)/sqrt(90))/sqrt(3)*6)**2*-2 - (3 + ((2*sqrt(99))/sqrt(9) - ((sqrt(132)*-2)/sqrt(12) - sqrt(11)))**2 + -1). -365 Simplify ((sqrt(84)*-1*-5)/(sqrt(56)/sqrt(200)))/((sqrt(144)/(-2*sqrt(8)))/(sqrt(33)/(sqrt(11)*2))). -25*sqrt(2) Simplify 3 + ((1 + sqrt(11) + 0 - (sqrt(44) + 5))*1 - (1 + (sqrt(539) + (sqrt(539) - sqrt(539)*-2))*6)**2). -310466 - 337*sqrt(11) Simplify (4 + (5*(sqrt(192) + sqrt(192)*-2 + sqrt(192))*-1 - ((sqrt(48) - -5*(sqrt(48) + sqrt(144)/sqrt(3))) + sqrt(4800) + 1)))**2. -504*sqrt(3) + 21177 Simplify -4*(-4*(2*(5 + -2*sqrt(684) + sqrt(684) - sqrt(684)) - (sqrt(684) + 5*(sqrt(684) + 1))*1))**2. -4379200 + 38400*sqrt(19) Simplify (-1 + 5 + sqrt(14)/sqrt(7) - -2*sqrt(96)/sqrt(3)) + -3. 1 + 9*sqrt(2) Simplify -5*(2 + sqrt(187)/sqrt(99)*-3 + -3 + -4 + (sqrt(34)/sqrt(2))**2). -60 + 5*sqrt(17) Simplify (-4*6*(4*(sqrt(136) - sqrt(136)*2) - sqrt(136))/(sqrt(8) - -5*sqrt(8)*2)*-4)**2*-3. -11750400/121 Simplify (6*(sqrt(252)/(sqrt(7) + sqrt(28)) + sqrt(5184)*-1))/((sqrt(108) + sqrt(108) + (sqrt(108)*-1 + sqrt(108) - sqrt(108))*-5)/(1*sqrt(9)*4)). -40*sqrt(3) Simplify ((sqrt(1323) + 1*sqrt(1323) + sqrt(1323) + sqrt(1323) - sqrt(1323)) + sqrt(972)*-6)/(-5*(sqrt(441) + (sqrt(441) - sqrt(441)*1))*-6). -sqrt(3)/14 Simplify ((-2*sqrt(96))/(sqrt(12) + (sqrt(12) + sqrt(12)*-1)*-5))**2 + (sqrt(4) - sqrt(44)/(sqrt(11) - (1*sqrt(11) - sqrt(11))))/(-1*sqrt(18)). 32 Simplify (-1*sqrt(612))**2 + (sqrt(17) - sqrt(136)/sqrt(512)) - ((sqrt(2448) + 2*sqrt(2448)*-1)**2 + -2*(sqrt(2448) + -2)). -1840 + 199*sqrt(17)/8 Simplify 1 + -6*(-6*(sqrt(704) - 1*sqrt(704) - sqrt(704)) - (sqrt(704)*1 + sqrt(704))*2)**2 + -2 + -2. -16899 Simplify (((sqrt(22) + sqrt(22)*2 - sqrt(22))/sqrt(11))**2 + sqrt(490)/sqrt(5) - ((sqrt(18) - sqrt(450)) + 0 + sqrt(2) + -3)) + 5. 16 + 18*sqrt(2) Simplify -1*((sqrt(2299)*1)**2 + 2) - ((1 + sqrt(19))*2 + -2)*-6. -2301 + 12*sqrt(19) Simplify -1*((5*sqrt(65)*3 + sqrt(65) + sqrt(65) + sqrt(65) - sqrt(65))/(-4*sqrt(720)) + -5). 17*sqrt(13)/48 + 5 Simplify ((0 + sqrt(405) + -1*sqrt(405)*-5)*6)**2 + (sqrt(40) + (sqrt(40) - sqrt(360))*-6)/(sqrt(32)*4) + 4. 13*sqrt(5)/8 + 524884 Simplify (5*(2 + 0 + sqrt(1872) + 3))**2 - (sqrt(1872) + -1*sqrt(1872) + 4 + sqrt(1872) + -1*sqrt(1872) + sqrt(1872) + 4 + -5)**2. 2928*sqrt(13) + 45544 Simplify sqrt(11) + (4 + sqrt(11))*-1 + sqrt(891) + -1 + 4*sqrt(396)*-2*3 + 2. -135*sqrt(11) - 3 Simplify (-6*5*(1 + (sqrt(147) - sqrt(147)*-2) + sqrt(147) + 1 + (0 + sqrt(147) - sqrt(147)) + sqrt(147) - (1*(sqrt(147) + 0) + -2)) + -2)**2. 204960*sqrt(3) + 2131684 Simplify (-2*-1*-3*(sqrt(637) + (sqrt(637) - (0 + sqrt(637) + -1)))*6)**2*-2. -1653696 - 36288*sqrt(13) Simplify (((-1*sqrt(2156) - sqrt(2156)) + sqrt(2156))*1 - 5*(sqrt(2156) + sqrt(2156)*1 - sqrt(2156)))/(-3*2*sqrt(36)*2). 7*sqrt(11)/6 Simplify 4 + 2*((2 + sqrt(432)*2 - ((sqrt(432) + 2)**2 + -2)) + (2*(-2 + sqrt(432))*5)**2). -9648*sqrt(3) + 86340 Simplify (((sqrt(112)*1)/sqrt(7))/((sqrt(80)*1 + sqrt(80))/sqrt(10)) - (sqrt(98) + (3 + sqrt(98))*-5)*-3)**2. 7515*sqrt(2) + 31939/2 Simplify ((-1*(sqrt(55) - sqrt(330)/sqrt(6))*-1)/(sqrt(80)*-2*1))**2 + 0. 0 Simplify (sqrt(14)/(-1*(sqrt(28)/sqrt(4) + sqrt(7) + sqrt(7) - sqrt(7))) + -2)**2 + (1 + sqrt(72) - ((sqrt(2) + 1)**2 + -1)) + -4. -1/2 + 6*sqrt(2) Simplify ((-1*sqrt(1377) + -5 - (((sqrt(1377) - -1*sqrt(1377)) + 0 - sqrt(1377)) + sqrt(1377)))*2 - ((sqrt(1377) - (sqrt(1377) + -1))*-6*1 + 5))**2. 972*sqrt(17) + 49653 Simplify 1*(3 + (3*sqrt(7))**2 + 4*sqrt(28)) - -6*(4 + (sqrt(7) - (-1 + sqrt(7)))**2 + 1)*1. 8*sqrt(7) + 102 Simplify ((sqrt(252)*2*1)/(sqrt(12) - -1*sqrt(12)*-3))/(-4*sqrt(567)*-2*6). -sqrt(3)/432 Simplify ((sqrt(45) - sqrt(45)*3)/sqrt(3) - (1*sqrt(150) + sqrt(150))/sqrt(10))/((6*sqrt(45)/sqrt(3))/sqrt(3)*5). -2*sqrt(3)/15 Simplify -1*(-3 + -4*sqrt(9)/(sqrt(3) + sqrt(3)*2 + sqrt(3)) + -2*sqrt(48) + (sqrt(36)/sqrt(4) - sqrt(9))/sqrt(3) + 4)**2. -244 + 18*sqrt(3) Simplify -2 + (sqrt(48)/(1*sqrt(8) + sqrt(8)) - (sqrt(72) + sqrt(72) + sqrt(72) + -2*sqrt(72) + sqrt(72))/sqrt(12))/(3*sqrt(18)/(sqrt(6) - sqrt(6)*-2)). -3*sqrt(2)/2 - 2 Simplify -5*(-1 + ((2*sqrt(572))/sqrt(11)*-5 - sqrt(364)/(sqrt(14)/(sqrt(2) - (sqrt(12)/sqrt(6) + sqrt(2)))))). 5 + 90*sqrt(13) Simplify (sqrt(72)/sqrt(18) + -2*sqrt(144))/(-2*sqrt(12)*-5 + sqrt(36)/(-2*sqrt(3))). -22*sqrt(3)/57 Simplify (3*(-3*sqrt(2000) - sqrt(2000))*1)/(-1*sqrt(250) + sqrt(10) + sqrt(10) + (-4*sqrt(40) - sqrt(40) - sqrt(40))). 8*sqrt(2) Simplify -4*(1*(1*(sqrt(55) - (sqrt(55) + sqrt(220)))*-5)/(sqrt(60)/(sqrt(300)*-4)))**2. -1760000 Simplify (sqrt(350) + 4*sqrt(350)*-2)/(((sqrt(10) + sqrt(80)/sqrt(8))*-2)/sqrt(5)) + -4. -4 + 35*sqrt(7)/4 Simplify (1*sqrt(900) + sqrt(900))/((sqrt(96)*-2 - sqrt(96))/sqrt(8)) + -2 + 6*(((-2*sqrt(243) - sqrt(243))/sqrt(9))/(sqrt(18)/sqrt(32)))**2. -10*sqrt(3)/3 + 2590 Simplify (-4*sqrt(5500)*-6)/(-5*(sqrt(11) + sqrt(77)/(sqrt(7)*1) - sqrt(11))). -48*sqrt(5) Simplify -4 + (-4*(sqrt(13) + 0 + 0) - (3*sqrt(637) + sqrt(637) + 5)**2) + 0. -10221 - 284*sqrt(13) Simplify ((-6*(-6*(sqrt(245)*2 + 3 - (0 + sqrt(245) + -5)) + 3))**2 + 3)*3. 408240*sqrt(5) + 1171269 Simplify -3 + ((3 + sqrt(153)*2 + 1 - (0 + -1*sqrt(153) + 0))*-5)**2. 1800*sqrt(17) + 34822 Simplify ((sqrt(136)/(sqrt(4)*3)*2)/(sqrt(98) + -3*(2*sqrt(98) - sqrt(98))) + 1 + 5)**2. -4*sqrt(17)/7 + 15893/441 Simplify -1 + (sqrt(72) + -1 - (sqrt(8) - 2*(-1 + sqrt(8))))**2 + (sqrt(2592)*-3 + sqrt(2592))/sqrt(4). -84*sqrt(2) + 136 Simplify 3*-3*(-3*(-2 + 2*sqrt
{ "pile_set_name": "DM Mathematics" }
d less than x? False Suppose 5 - 2 = n. Suppose 5*p + n*a - 170 = a, -2*p = -2*a - 82. Let h be (-70)/(-72) - p/48. Which is bigger: h or 0.1? h Let v(g) be the third derivative of g**6/120 + g**5/15 - 5*g**4/24 - g**3/6 - 20*g**2. Let d be v(-5). Let w = -1/21 - 59/84. Which is smaller: d or w? d Let l = -37 - -11. Let o = -24 - l. Is o less than -2/3? False Let y = 255.68 - 274.227. Let u = 0.053 - y. Let a = 19 - u. Which is greater: -2 or a? a Let u = -189/2 + 98. Let a(z) = -3*z**2 + z + 12. Let y(v) = -10*v**2 + 2*v + 35. Let s(t) = -7*a(t) + 2*y(t). Let l be s(-3). Which is smaller: l or u? u Suppose -173*h = -182*h - 1233. Which is greater: -138 or h? h Let y be -37 + ((-4608)/(-18))/16. Let t = -24 - -1. Which is bigger: t or y? y Let v(i) be the first derivative of i**3/3 + 5*i**2/2 + 13*i - 32. Let a be v(0). Which is smaller: 11 or a? 11 Let b = 7.83 + -8. Let t = -2.17 - b. Let m = 2.1 + t. Are 9 and m equal? False Let y be 3 + 10 + -3 + 4. Suppose -3*b + 9 = 3*u, 9*u = 4*u - 4*b + y. Let w be ((-36)/21)/(-1) - u. Which is smaller: w or 10? w Let g be 25/(-34725)*4/2. Which is greater: 0 or g? 0 Let q be (-532)/380 + 56/(-10). Let w be 2/8 + (-1)/4. Which is smaller: w or q? q Let w be (13 - 2) + (-720)/63. Are -6/7 and w non-equal? True Let u = 15.9927 - -0.0073. Is u <= 16? True Let v = -8122944356/3549 + 2288798. Let d = -193509/169 - -1145. Let j = d + v. Is 0 <= j? False Let y be (15/(-6))/((-40)/96). Let b be -39*y/99 - -4. Suppose 4*j - 3*t - 3 = 5, -j + 2 = -2*t. Which is bigger: j or b? j Let f = 169/8 - 1793/72. Let i = -104/27 - f. Is i greater than 0? False Let z = -3 + 2.8. Let v = 0.11 + z. Let n = -2 + 3. Is n at most v? False Let l = 13 + -13.22. Let c = -0.47 - l. Which is smaller: c or -0.1? c Let v(h) = h**3 + 8*h**2 + 11*h - 7. Let t = 7 + -13. Let k be v(t). Is k greater than 5? False Suppose -8 = 5*t + 5*p - 453, -4*t + 365 = -5*p. Which is smaller: 87 or t? 87 Let t = 400 - 399. Is -8/31 less than or equal to t? True Let u = 190.8 + -191. Let d = 0.2 + 0. Let a = d + -0.1. Which is smaller: u or a? u Let n = 6.7 + -9.4. Let v = n + -1.3. Let k = v + 5. Is 4/5 > k? False Suppose 2*a + 3*k + 3 = -0, -5*a + 15 = 3*k. Let v be (-1 - 1) + 15/2. Which is smaller: a or v? v Let a be 20/((20/425)/(18/15)). Is a at most 511? True Let r = 6.6 - 37.6. Let j = r + 28.4. Is -0.2 >= j? True Let t = 109783/282 - 1168/3. Let y = 167/658 - t. Which is bigger: y or -2? y Let w = -502 - -10544/21. Let r(g) = -3*g - 5. Let m be r(1). Let x be 1 - 5 - 40/m. Is w at least x? False Let k = -186 - -79. Let a = 76 + k. Which is bigger: -32 or a? a Let u be (-9)/(-11) - (-2)/11. Let v be (0 + u)*(-10 + -1). Let s be 2*((-8)/(-28) + (-134)/28). Which is smaller: s or v? v Let v be (24/5 - 5)/(21/(-48)). Which is smaller: v or 0? 0 Suppose -869 = -135*s + 481. Let h be (6/4)/(9/51). Which is smaller: s or h? h Suppose 4*i - 4*l = -40, 6 + 2 = 2*l. Suppose -9 = 3*s + 15. Let m = s + 1. Is m > i? False Let j = 62/25 + -3212/1275. Suppose -2*p + 11 = 3*v, -3*p - v + 3 = 4. Let y = 1 + p. Is j less than y? False Let h = 2 - 2. Let g = 1487/15 - 99. Do g and h have the same value? False Suppose -5*a + 0 + 25 = 0. Suppose 4*j + a*y = 17 - 1, 0 = -j + 3*y - 13. Which is smaller: -1/32 or j? j Let h = 271431/23 + -11801. Suppose 4*w + 2 + 2 = 0. Which is smaller: h or w? w Let z be 20/30 + 14/6. Suppose -5*s + 3 = 3*n, 2*s = z*s - 3*n + 3. Is -31 at least as big as s? False Let c = 57.1 - 57. Which is greater: -27/16 or c? c Suppose 88 = -58*c + 47*c. Is -98/11 at least c? False Let b = -173.4 + 173. Which is greater: -3/16 or b? -3/16 Suppose 10*z + 3*z - 161 = -109. Let n = 0.313 + -2.283. Let j = -0.03 + n. Do j and z have different values? True Let z = -10 - -13. Let g = z - 2. Is 2/11 > g? False Let l = 2 - -1. Let w = -22 + 34. Let n be ((27/w)/l)/3. Which is smaller: n or 1? n Suppose 3*f + 5 = -1. Let y be (-4 - (4 + 0))/f. Suppose 2*c = 4*b - 2, -3*c - 6*b = -y*b + 19. Is -3 greater than or equal to c? True Let p(r) = -r**2 + 13 + 4 - 1 + 11*r. Let l be p(13). Is l > -3? False Let s = 89 - 3. Let d = -86.2 + s. Is 15 smaller than d? False Suppose -r - 27 = 2*r. Let b(g) = -g**3 - 9*g**2. Let z be b(r). Is z < -35? False Let i(b) = -4*b**2 + b. Let u be i(1). Let d be (3/u)/(1/(-18)). Let o be 1/((-3)/(3 + d)). Is -6 at most o? False Let b = 58 + -58. Let c be 3 + 0 + b + 196/7. Which is bigger: c or 30? c Let y(s) = -s**2 + 5*s - 9. Let u(a) = -4*a**2 + 15*a - 28. Let l(r) = -2*u(r) + 7*y(r). Let h be l(-6). Which is greater: -2 or h? h Let u = -73 + 72. Is u at least -38? True Let c(s) = s**2 - 7*s + 7. Let a be c(6). Let w be ((-5 - 4)/(-3))/a. Suppose w*p + 20 = -p. Do -5 and p have the same value? True Let a = -2.7 + 6.1. Let s = -3.3 + a. Is -4 at most as big as s? True Let j = 312 - 2187/7. Which is smaller: -1 or j? -1 Let i = 455 - 446. Which is smaller: i or 0? 0 Let n = -375 - -375.8. Let g = 5.871 - 0.071. Let s = n - g. Is s at least as big as -1? False Suppose 12 = 4*u + 32, 5*u = 2*s + 13. Is s bigger than -109/6? False Let l = 19 - 17.1. Let u = l + -0.9. Let k be 0/1 - -3 - 64/28. Which is greater: u or k? u Suppose 0 = 4*i - 1693 - 1419. Let w be i/(-13) + 2/(-13). Let t be ((-8)/w)/(3/18). Is 1 at least as big as t? True Let n = 46 - 48.5. Let f = 0.5 + n. Which is greater: 0.6 or f? 0.6 Let q be 46/6 + 8/24. Let f be (q/(-110))/(6/(-15)). Let j = 31 - 32. Are f and j nonequal? True Let r = -101 - -101.085. Let w = 67.915 + r. Is w smaller than -1? False Let o = 108 + -110.3. Let j = -16.3 - o. Is j bigger than 5/3? False Suppose 8 + 12 = 5*x, 3*u + x = 4. Suppose -5*h - 2*i + 29 = 0, u*i = 4*h - 2*i - 16. Suppose -h*j + 16 = -9, -3*j + 15 = -3*c. Is c at least as big as -1/4? True Suppose -5*i - 3*w = 1800, 0 = i - 4*w - 1 + 384. Let l be -183*(-4)/i - 4/(-2). Which is greater: 1 or l? 1 Let q = 20 - 34. Let d = -28 - q. Suppose 8 = -7*f + 1. Are f and d non-equal? True Let a = -1143 + 1157.93. Let x = 15 - a. Let z = 84.1 + -84. Which is smaller: x or z? x Let w = 18 + -10. Suppose 184 = -0*f - w*f. Which is bigger: -24 or f? f Let t = -31199/16648 - 2/2081. Suppose 0 = v + 5*l + 17, -389*l + 392*l = -5*v - 19. Which is greater: t or v? t Let v = -586 - -585. Which is greater: 1.15 or v? 1.15 Let d(b) = b**3 + 5*b**2 - 23*b - 1. Let s be d(-8). Is -0.9 at most as big as s? False Suppose -3*g + 2*x - 154 = 0, -4*g + 5*x + 290 = -9*g. Which is smaller: -55 or g? -55 Suppose 7 = 3*s + 5*b - 0*b, 4*b = -s. Let p(q) = -q**3 - 4*q**2 - q - 4. Let t be p(-4). Let f be -6 - (t - (s + -1)). Are -2 and f equal? False Let n = -2335/2581 - -13/89. Is -2 at least as big as n? False Let r = 0.417 + -0.317. Which is smaller: r or -34? -34 Let q be 2/(-2*5/70). Which is greater: q or -104/7? q Let w = 86 - 83. Suppose -2*n - w = -5*n. Which is smaller: -14 or n? -14 Let b be -4 + 0 + 2 + 162/87. Is 1 at most as big as b? False Let m = 3.4 - -3. Let d = m + 4.6. Let r = -7 + 7. Which is smaller: r or d? r Let j = 29.5 + -25.5. Is j greater than -0.84? True Let y = 54 + -698/13. Let x be (-2)/3*(-324)/24. Suppose -3*l - 6 = -x*l. Which is smaller: l or y? y Let x be 385748/600 - 2/(-12). Let b = -643 + x. Is b less than or equal to 1/2? True Let f be (1 + -1)/(1 - -2). Which is greater: 21 or f? 21 Suppose 3*p - 21 = 3*v, 0*p + 2*p = -v - 22. Let u = -17 - v. Let j = -995/3 - -328. Which is bigger: u or j? j Suppose 30*d - 5*d + 75 = 0. Is d at most -23/6? False Suppose -71*w + 78*w = 14. Which is smaller: w or 1? 1 Let y = -793/3 + 283. Which is greater: 18 or y? y Suppose s = -100 + 65. Suppose j - 5*j - 144 = 0. Is j > s? False Let p = -28048/9 + 4515758/1449. Which is bigger: p or 1? 1 Let k = -8 - 3. Let t = -10 - k. Let j be (2 + t)*(-4)/16. Are -2 and j nonequal? True Let c = 10.2 - 9.2. Which is smaller: 2/489 or c? 2/489 Let u be (-12)/(-20)*(-322)/(-6). Is u greater than 31? True Let k = -616 - -1401. Suppose -k + 239 = 14*n. Which is smaller: n or -37? n Let p = -44 + 49. Suppose -4*h - 3 = -a - 12, -p*h = -10. Is 1/22 <= a? False Let n(v) = -3*v**3 + 10*v**2 + 15*v - 28. Let a be n(4). Which is smaller: 8/131 or a? a Let z be (-1)/(7 + -5 + (-325)/165). Is -27 equal to z? False Let h = -40 - -38.4. Are -0.2 and h e
{ "pile_set_name": "DM Mathematics" }
= -60. Solve -p - 18 = 3*p + 5*w, -5*p - w = s for p. -2 Let d = 1014 - 1010. Solve -3*h + b = 4*b + 15, -d*h - 17 = b for h. -4 Let s = 76 + -46. Solve -l + 0 + 4 = 4*d, 5*l = 5*d - s for l. -4 Suppose -2*c + 42 - 98 = 0. Let m = -25 - c. Solve -2*z + v - 6*v + 18 = 0, m*z - v - 10 = 0 for z. 4 Let a be -22*2*4/(-44). Solve -2*j = -6*j + 4*z + a, 5*z = -4*j - 32 for j. -3 Let x(k) = 7*k**2 - 3. Let d be x(1). Solve -d*j = 2*v - 8, -2*j + 7 = -j - 2*v for j. 3 Let g(m) = m - 11. Let i be g(15). Let y be (-5 - 1)*6/(-9). Suppose -5*t + i = -y*t. Solve 12 = p + p + 4*k, t*p - 2*k = -6 for p. 0 Let l(m) be the first derivative of -m**3/3 - 2*m**2 + m + 11. Let x be l(-3). Solve -3*c = -4*n + 21, x*n - 29 + 5 = 4*c for n. 3 Suppose 95*q - 86*q = 0. Solve -y + 6 = 3*h, h - 9 = 2*y - q*h for y. -3 Let s(z) = z + 14. Let y be ((-78)/9)/(2/3). Let k be s(y). Suppose -2*q + k = -3*q - n, -n + 11 = 4*q. Solve m - 4 = 5*a, q + 12 = 4*m - 2*a for m. 4 Suppose -4 = -f - 1. Suppose 0*x + f*x = 0. Let z be (1 + 0 + x)*26. Solve -b + z = c - 6*b, 5*c + 5 = -2*b for c. 1 Let x(k) = -4*k**2 - 91*k - 62. Let p be x(-22). Solve p*o + 11 = -3*c, c + 12 = -3*o - 0*c for o. -5 Let o(y) = y**3 + 2*y**2 - 2*y - 1. Let d be o(-1). Suppose -4*j + w + 61 = 12, -d*j + 37 = -3*w. Solve 5*b - 4*x = -0*b + 25, 4*b + 3*x + j = 0 for b. 1 Let z = 2 - 0. Let q be 3/(-12) - (-1)/4. Let c(n) = -n**3 - n**2 + n + 5. Let p be c(q). Solve 3*g - f + 5 = -z*f, -p*g = 2*f + 9 for g. -1 Suppose -3*j - 1022 = -17*j. Suppose c - 75 = -j. Suppose -4 = -4*f + 2*f. Solve -5*a - 5 = 3*h, -c*a + f*h - 7*h = -17 for a. -4 Let x(h) = h**3 + h**2 - h + 1. Let l be x(-1). Solve -7 = -2*o + 3*b, 3*o - l*o = -4*b + 9 for o. 5 Suppose 5*n = -l + 269, -5*l = 5*n - 2*l - 267. Let s = -51 + n. Solve 0 = -s*g + 4*v - 12, -3*g + v + 0 = 3 for g. 0 Suppose -30*f - 39 = -43*f. Solve -d + f*b = 13, 28 = -3*d - d + 4*b for d. -4 Let l be -3*5*3*(-4)/12. Solve l = 5*k, 4*a - k = 1 - 0 for a. 1 Let p be 2/(-3) + (-96)/(-36). Solve -p*v = 4*r - 14, -3*r = -4*v + 8*v - 18 for r. 2 Suppose 7*n - 59 = -24. Solve -5*a + 12 = -w, n*a + 8 = 18 for w. -2 Let f be 4/(-14) - (-60)/14. Let z = 54 + -46. Suppose z - 36 = -f*p. Solve -2*y = b + p, 5*b - 1 = 4 for y. -4 Suppose 7*x - 15 = 4*x. Let j(t) = t**2 + 5*t - 9. Let h = -25 + 18. Let i be j(h). Solve -5*l - i*f + 6 = -4*f, x*f = -2*l - 16 for l. 2 Let w(i) = -i**3 + 12*i**2 - 9*i - 2. Let l = 26 - 15. Let a be w(l). Solve 4*t = 4*g + a, -t + 3*g = -2*g - 5 for t. 5 Let g(k) = 5*k - 15. Let d be g(11). Suppose -15*a + d = -11*a. Solve 0 = -4*x, -6*w + w - a = 2*x for w. -2 Let d(h) = 2*h**2 + 6. Let b(o) = 4*o**2 + 11. Let x(g) = 6*b(g) - 11*d(g). Let r be x(1). Solve 4*u = -2*m - 7 + 3, 5*u = r*m - 5 for m. 0 Let i(z) = 4*z**2 - 100*z + 99. Let c be i(24). Solve 9 = -c*p + 5*v + 29, -2*v - 27 = -5*p for p. 5 Let y(i) = 14*i - 67. Let k be y(5). Let m = -16 - -28. Solve 2*o - 4*g = -m, 6 = -5*o - k*g + g for o. -2 Let k = -1 + -1. Suppose 5*l = -2*o + 18, 12 = l + 3*o - 2. Let a = l - k. Solve -a*r = 4*y + 36, 2*r - y = 4*r + 13 for r. -4 Let q be (-2)/7 - (-8)/28. Let m = 462 + -437. Solve -t - 11 = -0*t + 2*r, q = -5*r - m for t. -1 Let c(w) = w + 5. Let x be c(-3). Suppose -2*j + 4*o = x*j + 4, 2*j = -3*o + 13. Let g = -283 + 286. Solve -2*a - 15 = -5*t, -5 = j*a - g*a for t. 5 Suppose 5*i = -0*i - 20, -3*q - 3*i = 36. Let s be 4*((-28)/q)/(-7) + 4. Solve -3*v = -t - 14, 3*t + s*v + 0 = -9 for t. -5 Suppose 3*w - 6 = -0*w. Suppose -w*d = -5 - 3. Suppose -4*u + 24*t + 15 = 29*t, 5*t - 15 = -u. Solve u = -2*y + 7*y - 3*p + 28, y + 9 = d*p for y. -5 Suppose -3*c + 27 = 6. Let b(n) = 3*n - 42. Let h be b(16). Suppose -c = -h*q + 5. Solve q*r = -3*s - 0 + 8, -3*r = -2*s - 12 for s. 0 Let p(l) = -4*l + 10*l + 3 - 37 + 3*l. Let o be p(4). Solve 0 = 3*y - 3*m, -m - 9 = -2*y - o*m for y. 3 Let d = 2 - 2. Suppose -5*l + d*l = -15. Suppose c - l*m = -6, 3*c = 2*m - 4*m + 4. Solve c = -4*t - 3*s - 14, -5*s = 5*t - s + 17 for t. -5 Let f(v) = -v**2 + 7*v - 2. Let i be f(6). Let g = 63 - 30. Let a = g + -32. Solve 4*l + 5*z + 24 = 0, -i*l + 3*z + 7 = -a for l. -1 Suppose 14 - 6 = 4*b. Let d be 18/4*(-14)/(-21) - 1. Solve -i - 9 = -b*s, -d*i - 6 = -2*s + 8 for i. -5 Let q(a) = -3*a + 4. Let s be q(4). Let u(y) = -7*y - 38. Let k be u(s). Solve -k = 3*b - 2*g, 0 = 3*b + 3*g + 3 for b. -4 Let i = 22 + -17. Suppose 2*x = 2*b - 30, -5*b + 0*x + 65 = i*x. Suppose 4*k - b = k - 2*r, 5*k = -2*r + 22. Solve -t + 2*m + 15 = -6*t, -12 = k*t + 2*m for t. -3 Let a = -27 - 16. Let b = a + 64. Let k = -19 + b. Solve 0*t - 5*z = k*t - 28, 0 = -3*t - 5*z + 32 for t. 4 Let o be 5 + ((-6)/(-6)*3)/(-3). Solve 5*f = o*d - 35, -f + 17 = 4*d - 0*f for d. 5 Let h be (18/(-8) + 2)/((-1)/8). Suppose a + 4*a = 15. Suppose -q - 15 = -2*i, -a*q - 14 = -h*i - q. Solve -3*n - n - i = 2*v, -2*v = n + 2 for n. -2 Let r be (25/(-75))/(2/6). Let v(x) = 3*x**2 - 1. Let g be v(r). Solve -c - m = m + 5, -g*c = -5*m - 8 for c. -1 Let c = -345 + 349. Solve 5*g - 5 = -c*f + 12, -4*f + 4*g = 28 for f. -2 Suppose 0 = 4*p + 5*i - 4, 2*i = -2*p - 0*p + 2. Suppose 0 = -5*c - p + 16. Solve 2*h = c*m + 5, m + 4*m + 19 = -2*h for h. -2 Let j be (-8)/((8 - 11)*2/3). Solve 5*n = -3*y, -j*n - 13 = 5*y - 0*y for n. 3 Let t(l) = -l**2 - 7*l + 13. Let m be t(-8). Solve -3*u - m = 2*u + 2*q, q = 0 for u. -1 Let w(j) = -6*j - 20. Let c be w(-5). Let s be 10/c - 1*-3. Solve 0 = b - s*l + 3*l + 6, -b - 5*l = -24 for b. -1 Let m = 5 + -2. Suppose 185 = w + 117. Let b = w - 49. Solve 4*q - 5*f = q - 17, -4*q + m*f - b = 0 for q. -4 Suppose 0*i = -4*i + 12. Suppose 2*j - 20 = j. Solve -2*d - j = 4*n, -d + 25 = i*n - 8*n for d. 0 Let r(b) be the first derivative of 3 - b - b**2 + 1/3*b**3. Let s be r(-1). Solve 5 = -u, 3*u + 13 = -s*y - 2 for y. 0 Let g(k) = -19*k**2 + 131*k + 17. Let x be g(7). Solve 5*o + b + 23 = 2*b, -6 = x*b for o. -5 Let q(a) = 2*a + 15. Let o be q(10). Suppose 5*w = -4*r + o, 5*w = 4*r - 0*r + 75. Let b be (w/(-33))/(2/(-18)). Solve b*i = 5*z - i, 0 = 2*z - 2*i for z. 0 Let u = -11 + 15. Let c be (18 - -2) + (2 - u). Let o = -13 + c. Solve d - o = 5*w, -5*w - 5 = -2*d - 0 for w. -1 Suppose -3*p = p - 32. Suppose p = 10*m - 8*m. Solve 0*f = -5*n - 2*f - 35, 2*n - m*f = 10 for n. -5 Suppose 0 = 3*y - 15, 5*x - 7*y + 3*y = 40. Suppose 0 = 14*n - x*n - 4. Solve 0 = -4*b - 5*q + 5, n*q - 10 = -3*b - 3*q for b. -5 Suppose g = 2*g - 8. Let s(z) = -z - 12. Let r be s(-9). Let u be r/6*0 + 0. Solve u = 5*a + 4*h + g, -4*h + 5*h = a - 2 for a. 0 Let a be ((-4)/6)/(8/(-36)). Let x be (a/2)/((-21)/(-56)). Let i be (-4)/26 + 246/78. Solve z = i*d + 4*z + 15, -d - x*z = 20 for d. 0 Let l be 6 + -2 - (-1 + 2). Suppose 0*i = -l*i. Solve -3*m - 22 = -4*p, m + i*p = 4*p - 18 for m. -2 Let n be 30/9 - (-4)/6. Suppose 0 = 10*t - n*t - 12. Solve -5*j + 5 = -5*d, 4*j - 8*j = -t*d + 6 for j. -4 Suppose 4*i = 8*i - 40. Let n be (i/15)/((-3)/(-9)). Solve n*z + 9 = 3*z - 2*x, -2*x - 24 = -4*z for z. 5 Suppose -3*t = -2*l - 19, 4*t - 8*l + 3*l - 30 = 0. Solve 3*s - 6 - 1 = -q, -t*q = -2*s + 16 for s. 3 Let p be -10*(72/20 - 4). Solve p*v - 17 = -q, 13 = 2*q + 3*q + 2*v for q. 1 Suppose -72 = -106*q + 70*q. Solve l - 3*y - 6 = 0, 2*l - 5*y = -q*l + 17 for l. 3 Let k = -1 + 4. Let r(t) = -3*t**2. Let l be r(1). Let o(i) = 2*i**2 + 5*i + 4. Let m be o(l). Solve k*s + m = -2*h - 8, -4*s - h = 15 for s. -3 Let p be 0 + (1*12)/3. Let x = -14 - -22. Suppose 0 = 7*d - 11*d + x. Solve -3*a - a = 0, p = -d*u + 3*a for u. -2 Let b(d) = 3*d**3 - 2*d**2 - 1. Let i = -18 - -18. Suppose -4*u + 2*u + 4 = i. Let x be b(u). Solve -23 = -5*m + a, 0 = -5*a - 0 - x for m. 4 Let k = 13 - 16. Let u be (-21)/((-9)/3) + -1. Let d be 42/4 - k/u. Solve 3*j = c + d, -2*c - c = -5*j + 21 for c. -2 Let i be 0/(-6 - (6 + -13)). Solve i*n - 5*s = 3*n + 23, 3*n - 17 = 5*s for n. -1 Suppose -g = -6*g. Suppose g = -o + 2 + 2. Suppose -l - 2*c + 4 = 0, 2*c = l - 0*l - o. Solve -3*i - l*z = -7*i - 8, 4*z + 12 = 0 for i. -5 Let s = 69 + -44. Let f be s/7 - (-3)/7. Let x be f/(-24) - 52/(-24). Solve -x*v + 2*z = -0*z - 2, -v + 9 = -3*z for v. -3 Suppose 0 = 4*v - 2*c + 10, -3*c + 1 = -v - 9. Let x = 249 + -247. Let j = x - v. Solve -f = j*i - 8, 0*i + 3*f = 2*i - 20 for i. 4
{ "pile_set_name": "DM Mathematics" }
- 23*y**2 + 75*y - 69. Let d be r(-26). Solve 0 = d*f - 26 - 1 for f. 3 Let h(v) = -v**3 - 12*v**2 + 5*v - 6. Let u be h(-12). Let t = u - -70. Solve -1 = 3*m - t for m. 1 Let z be 0*(30/(-9) - -3). Suppose z = -17*m + 16*m + 12. Solve 5*n = n + m for n. 3 Suppose 2*d + t - 18 = -2*d, -4*d = 3*t - 22. Let m(j) = j**3 - 2*j**2 - 3*j - 9. Let c be m(d). Solve -3*r + 2 - c = 0 for r. -3 Suppose 30 + 22 = 2*x + 2*t, -t = -3*x + 58. Solve -6 = -27*n + x*n for n. 1 Let j(c) = c**2 - 4*c + 10. Let z be j(4). Let i = 7 + -13. Let s = i + z. Solve 2*p = s*p + 6 for p. -3 Suppose b + b + 18 = 0. Let x = -11 - b. Let s = x - -2. Solve s = -c - 3*c for c. 0 Let u(g) = -g**3 - 2*g**2 - 4. Let k be u(-3). Let j(s) = -s - 2. Let b be j(-4). Suppose -26 + 10 = -4*y - z, -b*y + 4*z + 8 = 0. Solve y = -k*x - 11 for x. -3 Let o be -3 - -1 - -1*2. Suppose -5*x + 45 = -5*d + 2*d, 0 = 4*d + 20. Solve o = 3*z - x*z + 6 for z. 2 Let x(b) = 25*b + 1139. Let f be x(-44). Solve 49 = -2*r + f for r. -5 Let k(g) = g + 5. Let z be k(-4). Let i be (1 - z)*(-2)/4. Suppose 3*s + 0*b - 11 = 2*b, i = 3*s + b - 8. Solve -u - s*u = -8 for u. 2 Let i(l) = l**2 + 39*l - 147. Let u be i(-43). Solve -9*y = 11 + u for y. -4 Let k = 384 + -375. Solve 7 = -k*m + 7 for m. 0 Let l = -29 + 25. Let h be 3*l*(-4)/12. Solve h*u + 2 = -2 for u. -1 Let l be (24/21)/(56/294). Solve 2*p - l*p = 12 for p. -3 Let g(c) = 5*c - 22. Let s be g(7). Suppose -4*b + s = -3. Suppose -3*j = -5*d - 8*j + 45, 2*d - b*j = 0. Solve 4*t = -6 - d for t. -3 Let c = 62 - 23. Let x = c - 23. Solve 6*i - 2*i = -x for i. -4 Let w(s) be the first derivative of s**3/3 + 13*s**2/2 + 30*s + 10. Let j be w(-10). Solve j*o - 3*o = -6 for o. 2 Let a(i) = 2*i + 12. Let d be a(-4). Suppose 2*z + 0*z - 12 = -j, -d*j + z + 12 = 0. Solve 2*f + j = f for f. -4 Let z(l) = l**3 + 23*l**2 + 42*l + 4. Let g be z(-21). Solve g*x + 12 = -4 for x. -4 Suppose -4*f + 27 + 61 = 0. Let v = -147 + 152. Solve -f = v*c + 3 for c. -5 Let g be (-3)/9*(1 - 10). Suppose 47 = -5*u + z, -g*z = -2*u - z - 22. Let q be (-70)/u + 24/108. Solve 0*d - q = -2*d for d. 4 Suppose -3*n - n = 0. Suppose 2*s + s - 6 = n. Let z be -3 + ((-2)/(-1) - -1). Solve -w = -z*w + s for w. -2 Let h be (0/4)/((-4)/2). Suppose -37 - 44 = -9*u. Solve h = 4*l + 3 + u for l. -3 Suppose 0 = d - 2 - 1. Suppose 3*u = -12, -5*x + d*x - u = 0. Suppose 4*h = x*j + 10 + 6, 5*j = h + 5. Solve 0 = -s - s - j for s. -1 Let z = 1651 + -1651. Solve z = -2*n - n - 12 for n. -4 Suppose 5*c = 5*d - 35, -5 + 53 = 4*d + c. Let t = -209 + 210. Solve t = 2*s + d for s. -5 Let w = -263 + 266. Solve w*l = 5 - 2 for l. 1 Suppose -r = -4*h - 16, 4*h + 9 = 4*r - 7. Solve 3*x - 2*x = r for x. 0 Suppose -h + 29 = 3*z, -54*z + 49*z + 5*h + 15 = 0. Solve -2*y = z*y for y. 0 Let x(q) = -q**2 + 25*q + 157. Let y be x(30). Let d(k) = k - 1. Let w be d(4). Solve -2*n = -y + w for n. 2 Let k(n) = 24*n + 18. Let b(l) = 34*l + 27. Let x(s) = -5*b(s) + 7*k(s). Let w(r) = -4*r**2 - 1. Let h be w(-1). Let i be x(h). Solve -i = c + 4 for c. -5 Suppose -42 = -10*s + 17*s. Let t be (-3)/(-6) + s/(-4). Solve p = -p + t for p. 1 Let q(b) = -14*b - 89. Let c be q(-8). Let l = -17 + c. Let d be 0*((-3)/2)/3. Solve 2*z + l + d = 0 for z. -3 Suppose -4*o + 104 = -2*k + 3*k, 4*k = 4*o - 84. Suppose o = -c + 6*c. Solve 5*z + 5 = -c for z. -2 Suppose -4*j + 11 = 3*l + 8, 0 = j - l + 1. Solve j = -i + 3 for i. 3 Let y = 20 - 17. Suppose 7 = i + 3*w, w - 3 = -y*i + 10. Let t(j) = j**3 - 8*j**2 + j + 1. Let s be t(8). Solve s*h = i*h for h. 0 Suppose -75*p + 80*p = 460. Let j be p/69 + -4*2/(-12). Solve -2*g + j = 12 for g. -5 Suppose -13*q + 8*q = -5. Let o(l) = -l**3 + 9*l**2 + 10*l + 3. Let y be o(10). Suppose 0 = 5*n - y*n. Solve f + q + 1 = n for f. -2 Suppose -15 = -k - 3*q, -2*k + 3*q = 2*k. Solve s + 7 = k for s. -4 Let c be ((-7 - 2) + 8)*(-5 + -1). Let t(b) = -b**2 + 8*b - 10. Let n be t(c). Solve -z = n*z + 12 for z. -4 Let g be (-510)/(-8) - (-2)/(-24)*-3. Suppose -2*w = 2*w - g. Solve p - w = -3*p for p. 4 Let x(g) = 5*g**2 - 17*g - 8. Let l be x(4). Solve 15*w = 13*w - l for w. -2 Let g = -5 + 7. Suppose 0 = -3*k - c + 73, 3*k = 2*c + 501 - 422. Solve -7*f + g*f = -k for f. 5 Suppose 12 = 4*w - w. Let d(x) = 2*x**2 - 6*x + 4. Let c be d(w). Suppose z + 4*t = 4 + 6, -5*t + c = z. Solve 6 + z = -4*f for f. -2 Suppose -10*j = -5*j + 85. Let n = j + 25. Suppose 5*t = b + n, t + 16 = b + 4*t. Solve 0 = -2*a + b*a - 25 for a. 5 Let w = 100 + -52. Suppose 0*u = -4*u - w. Let d be (-7 - -1)*4/u. Solve -j - d = -1 for j. -1 Let g = 10 - 5. Let k(t) = -t**3 + 11*t**2 + 27*t + 2. Let o be k(-2). Solve o*n + 25 = g*n for n. 5 Suppose 15 = 2*f + 5*t, -4*t - 2 + 14 = -4*f. Let s be (f/(-4 - -3))/(-2). Solve -v = -s - 2 for v. 2 Let r be ((2 - 5)*1)/(-1). Let c be (-2 + 1)/(r*4/(-24)). Solve -3*l - c - 1 = 0 for l. -1 Suppose -36 = 27*z - 36*z. Solve 8*g - z*g = -20 for g. -5 Suppose -4*n - 31 = -119. Let j = n + -22. Solve 2*c - 6 = -j*c for c. 3 Let r be 3/(-4) + (-945)/(-140). Suppose 0*g = -g. Solve g*v = -2*v + r for v. 3 Let l(a) = -a**3 + a**2 + a. Let r be l(0). Let y be (4/(-2))/(7/(-14)). Suppose 0 = -t - y*x + 23, -5*t - 2*x - x + 30 = 0. Solve -6 = -t*f - r*f for f. 2 Suppose 14*t - 80*t = -1386. Solve -t*i + 80 = -5*i for i. 5 Suppose -x - 2*x - 5*b = 262, -5*x - 3*b - 410 = 0. Let r = x + 86. Solve r*u = 4*u for u. 0 Let c(r) = -r**3 - 7*r**2 - 11*r - 19. Let m be c(-7). Solve -54*n + m*n = -16 for n. -4 Let y = -5 - -43. Let i be (y/(-4) - -2)*2. Let b = -14 - i. Solve o = 2 + b for o. 3 Let p(t) = t. Let q be p(1). Let y = -16 + 21. Let x(r) = 2*r**2 - 10*r + 3. Let u be x(y). Solve -j + u = q for j. 2 Let d = -104 + 108. Solve 6*b - d = 14 for b. 3 Suppose -6*n = -7*n - 3*u + 22, -4*n - 5*u = -95. Let t be 1/2*7*-6. Let s = n + t. Solve c + s = -3*c for c. -1 Suppose 31 = -n + 2*n + 5*w, 0 = -3*n - 4*w + 49. Solve 0 = k - 12*k - n for k. -1 Suppose 21 = k - 4*t, -3*t + 2*t = -2*k + 14. Let q = k - -5. Solve -j - j = q for j. -5 Let u = -11 - -13. Suppose -z = u*z - l - 16, -z - 2*l + 10 = 0. Suppose 0*o = 4*t + 3*o - 18, 0 = 4*t - 5*o - 2. Solve -t*m + m = -z for m. 3 Let y(o) = -o**3 + 47*o**2 + 97*o + 54. Let w be y(49). Solve -w*f = 33 - 18 for f. -3 Suppose 0 = n - 4*x - 14, 2*n - 17 - 2 = 5*x. Suppose 5*i + 4 = -4*b + 7, 3 = -i - n*b. Solve i = 2*q + q for q. 1 Let l be 6 - 1 - (144/12 + -11). Solve -z - l = -5 for z. 1 Let v be (-29)/3 - (-6)/9. Let s = -4 - v. Solve 0 = 4*i - 7 - s for i. 3 Let c be (0 - (-5)/(-10))*-12. Suppose -3 = h - c. Solve 0 = -g - h*g + 4 for g. 1 Let j = 7 + -4. Let m be 6 + (-9)/3 + -21. Let b = -10 - m. Solve j = d + b for d. -5 Let r = 1 - -5. Let l be 1/3 - 2/r. Solve l = -u - 4 - 1 for u. -5 Suppose 0 = -224*a + 229*a - 40. Solve 0 = -2*l + a + 2 for l. 5 Let k(g) be the first derivative of -g**4/4 + 4*g**3/3 + 11*g**2/2 - 10*g - 7. Let z be k(5). Solve 5*t = t + z for t. 5 Let b = 2 + 1. Suppose -b*n + 8 = n. Let q be (n/(-2))/(1/(-3)). Solve q*u + 10 = u for u. -5 Let o be 0/(30/(-5)*3/(-9)). Let t(l) = -l**3 + 5*l**2 - 5*l + 2. Let w be (9/(-15))/((-2)/10). Let v be t(w). Solve -3*g + v*g = o for g. 0 Let z = 15 + -11. Suppose 2*q + 5 + 17 = z*o, 2*o = -4*q + 16. Suppose 8*s = o*s. Solve s = 3*a - 2*a + 1 for a. -1 Let b(q) = -q**3 - 6*q**2 + 6*q + 5. Let i be b(-7). Let f be (-312)/(-120) - 12/20. Solve s + f*s = i for s. 4 Let c = 797 + -793. Solve -c*d - 23*d = 0 for d. 0 Let y(p) = -p**3 - 14*p**2 + 16*p + 18. Let b be y(-15). Let i be ((-36)/(-54))/(1/b). Solve -f + 15 = i*f for f. 5 Let w be (-5)/(-2) - 40/(-80). Solve 0 = w*c - 2 - 7 for c. 3 Let a be 4*(4 + 8 + -11). Solve -64*c + 62*c - a = 0 for c. -2 Let x(b) = 7*b - 2. Let g = 48 - 47. Let q be x(g). Solve 3 = q*m - 2*m for m. 1 Let h be 48/(-36)*42/(-8). Solve 21*x + 14 = h*x for x. -1 Let p be (-2080)/(-288) + (-4)/18. Solve 0 = -p*o + 22*o - 75 for o. 5 Suppose -14*x = -15*x + 5. Solve x*s = -24 + 39 for s. 3 Suppose u - 132 = -4*k, 5*k - 123 = -u + 41. Solve -k*m = -29*m + 6 for m. -2 Let q = -9 + 14. Suppose 0*r + g = -5*r + 8, q*r - 2 = -4*g. Let c be 3/2*16/6. Solve r*u = c*u - 10 for u. 5 Let y be ((-8)/(-3))/((-6)/(-9)). Let z(a) = 7*a - 8. Let p be z(4). Suppose 0*s - y*s = -p. Solve -2*f = -1 +
{ "pile_set_name": "DM Mathematics" }
8*s**2? 107958600*s**3 Find the third derivative of -n**4*p - n**4 + 75185*n**3*p + 96*n**2*p - 156711*n**2 - 2*n*p wrt n. -24*n*p - 24*n + 451110*p Find the third derivative of 13*d**3*g**3 - 1675487*d**3*g**2 - 4*d**2*g**3 - 293*d**2*g - 16*g**2 + 4*g - 1 wrt d. 78*g**3 - 10052922*g**2 What is the first derivative of -27162088*o**2 + 26385683 wrt o? -54324176*o Find the first derivative of 7261036*y**2 - 2915336. 14522072*y What is the second derivative of 6817187*x**2 - 515*x + 1222 wrt x? 13634374 Differentiate 5813258*w**3 + 137188003 wrt w. 17439774*w**2 What is the third derivative of q**6 + 124354*q**3*r + 38*q**2*r + 2*q*r - 83402 wrt q? 120*q**3 + 746124*r What is the derivative of 13722*f**2*q + 21*f**2 + 5*f - 60093383*q wrt f? 27444*f*q + 42*f + 5 What is the first derivative of -4949559*o**4 - 20*o**2 - 656039644? -19798236*o**3 - 40*o Find the third derivative of 2136278*b**3*p**3 - 2*b**3*p + 11*b**2*p**3 - 27346*b**2*p + 3*b**2 - b*p**3 + 2*b*p - 3*p**2 + 2*p wrt p. 12817668*b**3 + 66*b**2 - 6*b Find the third derivative of 423926687*d**3 + d**2 + 1954348. 2543560122 Find the third derivative of -25593434*a**6 + 3*a**5 - 7327*a**2 - 42. -3071212080*a**3 + 180*a**2 Differentiate -8044961*h**3 + 22099759 with respect to h. -24134883*h**2 Find the second derivative of 509*l**3 + 13345*l**2 + 5426914*l + 3 wrt l. 3054*l + 26690 Find the third derivative of -79863478*i**5 - 182408*i**2 + 21*i - 2 wrt i. -4791808680*i**2 Find the first derivative of -13857162*y**2 + 52217371 wrt y. -27714324*y Find the second derivative of -109910086*a**3 + 14477923*a. -659460516*a What is the third derivative of 356460*i**6 - 13945*i**2 + 25*i? 42775200*i**3 What is the third derivative of -471*h**3*k - 30394*h**3 - 166*h**2*k - 258083*k wrt h? -2826*k - 182364 What is the second derivative of 176378334*y**3 + 6949*y + 3566? 1058270004*y Find the second derivative of 2*a**4 + 6*a**3 + 298226*a**2 + 3*a + 10551047. 24*a**2 + 36*a + 596452 What is the derivative of 17*c*p + 19798132*c - 996762211*p wrt c? 17*p + 19798132 What is the second derivative of -635*c**2*h**2*s**2 - 1429*c**2*h*s**2 - 6*c*h**2*s - 2*c*h*s**2 - 16*c*s - 8*h**2*s**2 - 14*s**2 wrt c? -1270*h**2*s**2 - 2858*h*s**2 What is the third derivative of -2*j**3*q**3 - j**3*q + 59*j**3 + 2769084*j*q**5 - 16*q**2 + 60*q wrt q? -12*j**3 + 166145040*j*q**2 What is the derivative of 30602151*g**3 + 47144531? 91806453*g**2 What is the derivative of 2*b*c**2 - 936*b + 747*c**4 - 1239*c**3 + 421 wrt c? 4*b*c + 2988*c**3 - 3717*c**2 What is the third derivative of -123287*h**5 - 7*h**4 - 54*h**3 + 609319323*h**2? -7397220*h**2 - 168*h - 324 What is the third derivative of 302350*c**3*l**3 + 4*c**3*l**2 - c**3*l + c**2*l**2 - 2*c*g*l**3 + 53*c*l**2 + 11*g*l**3 - 96*g*l wrt l? 1814100*c**3 - 12*c*g + 66*g Find the second derivative of 34134697*k**4 + 358*k + 17062. 409616364*k**2 What is the third derivative of 90042877*g**6 + 371701598*g**2 - 3 wrt g? 10805145240*g**3 What is the third derivative of -7*k**3*v**3 + 8*k**3*v**2 - 2*k**3*v + 140671*k**3 - 2*k**2 - 53820*k*v**3 + 2*v**3 wrt v? -42*k**3 - 322920*k + 12 What is the second derivative of 804*o**5 + 134071*o**2 - 518110056*o? 16080*o**3 + 268142 What is the second derivative of -4911717*d**3*p**3 - d**2*p**3 + 59*d*p**3 - 69853*d*p wrt d? -29470302*d*p**3 - 2*p**3 What is the third derivative of 18*o**5 - 466783*o**4 - 3*o**3 - 2126*o**2 + 6*o - 110 wrt o? 1080*o**2 - 11202792*o - 18 What is the first derivative of -1519*q**2*s*t**3 + 750559*q**2*t + 1820*s - 22*t**3 wrt s? -1519*q**2*t**3 + 1820 What is the second derivative of 1760*g**3*n*p - 3*g**3*n + 11*g**3*p - 10121*g*n + g*p - 9*n*p - n + 2*p wrt g? 10560*g*n*p - 18*g*n + 66*g*p Find the first derivative of -4*o**2 - 2526346*o - 10198832. -8*o - 2526346 Find the third derivative of j**3*p**4 - 16*j**3*p**2 + 51*j**3*p - 5*j**3 - j**2*p**2 - 3255*j**2*p + 16996122*p**4 wrt p. 24*j**3*p + 407906928*p What is the third derivative of -14*i**4 - 39859*i**3 + 897*i**2 - i + 1005 wrt i? -336*i - 239154 What is the second derivative of -150866*p*s**5 - 3*p*s**2 - 15551*p*s - 839 wrt s? -3017320*p*s**3 - 6*p Find the second derivative of -m**3 + 269894*m**2 - 38193614*m. -6*m + 539788 Find the second derivative of -2*b*l**2*m + 13149*b*m**3 + 243*b*m + 5*l**2*m**2 + 60*l**2*m + 3*l**2 + 56*l*m**3 - 4*l*m + 3*m wrt m. 78894*b*m + 10*l**2 + 336*l*m Find the third derivative of 132867774*k**3*s*u - 2*k**3*u**2 + k**3 + 16*k**2*s*u**2 + k**2*u**2 + 37*k**2*u + k*s*u**2 - 1470*k*s + 3*s*u - 3*s wrt k. 797206644*s*u - 12*u**2 + 6 Differentiate -2*c*s + 8088078*c - 212128431*s**2 - 11 with respect to s. -2*c - 424256862*s Find the second derivative of 36808*h**4 + 6783*h**3 - 308278326*h. 441696*h**2 + 40698*h What is the third derivative of 5*o**6*u + 2541237*o**3*u - 11153695*o**2*u wrt o? 600*o**3*u + 15247422*u What is the second derivative of 7874645*j**5 + 2569139*j wrt j? 157492900*j**3 Find the second derivative of 3844484*m**3 + 624*m - 3241. 23066904*m Find the third derivative of 1196890*h*o**4 + 4*h*o**3 - 2463930*h*o**2 - h*o - 2*o**4 wrt o. 28725360*h*o + 24*h - 48*o What is the first derivative of 199359*f*g**2 + 613*f - 204794*g**2 - 124*g wrt f? 199359*g**2 + 613 Find the third derivative of -285242505*r**3*x**2 + 2*r**3*x + 26*r**2*x**2 - 145*r**2*x - 1283*r wrt r. -1711455030*x**2 + 12*x Find the first derivative of 17070627*b**2 + 18147064 wrt b. 34141254*b Find the third derivative of 19384152*h**4 + 198403*h**2 - 29 wrt h. 465219648*h What is the third derivative of -187126*r**5 - 8*r**4 - 3*r**3 + 1462108*r**2 + 6? -11227560*r**2 - 192*r - 18 Differentiate -x*z**3 + 9078*x*z**2 + 23279129*x - 74*z with respect to z. -3*x*z**2 + 18156*x*z - 74 What is the first derivative of 5354923*b*r - 10*b*w**2 - 7040*r*w - 1075*w**2 + 9 wrt b? 5354923*r - 10*w**2 What is the third derivative of -62*c*k**5 + 872864*c*k**3 - 700*c*k**2 + 3*c*k + 2*c - 1695*k**2 - 1 wrt k? -3720*c*k**2 + 5237184*c Differentiate -203380857*h**4 - 648579164 wrt h. -813523428*h**3 Find the third derivative of -34916338*i**4 + 7196*i**2 + 10*i - 15. -837992112*i Find the third derivative of 44*n*v**3 + 4*n + 3976*v**3 + 1292*v**2 - 791 wrt v. 264*n + 23856 Find the second derivative of 2*g**5 + 466610786*g**2 + 9660967*g - 29 wrt g. 40*g**3 + 933221572 Differentiate 450189566*w**2 - 317087188 wrt w. 900379132*w What is the third derivative of 6064881*t**3 - 3*t**2 + 143732*t + 1 wrt t? 36389286 What is the derivative of -c*n*t**3 - 10258570*c*n*t**2 - 3*c*t - 66*t**3 - 27*t + 2 wrt n? -c*t**3 - 10258570*c*t**2 Find the second derivative of 14689*r**4 - 140*r**3 + 9058785*r - 3. 176268*r**2 - 840*r What is the third derivative of 116*u**5 - 4989*u**4 + u**2 - 8062948*u? 6960*u**2 - 119736*u What is the first derivative of 53209*b**2 + 1427*b - 930626385? 106418*b + 1427 Find the third derivative of 2916*n**5 + 1114*n**3 - 91*n**2 + 67379. 174960*n**2 + 6684 Find the second derivative of 1555318*v**2 - 5147584*v. 3110636 Find the second derivative of 327461416*b**2 + 259608015*b. 654922832 What is the second derivative of 82716702*o**2 + 32*o + 88664 wrt o? 165433404 Differentiate 44*h**3*v - 124937890*h**3 - 1513007*v wrt v. 44*h**3 - 1513007 What is the third derivative of -2*s**5 - 2911109*s**4 + 1148131*s**2? -120*s**2 - 69866616*s Find the second derivative of 76414531*p**3 - 2169*p - 14753. 458487186*p What is the first derivative of -59833753*o**2 - 156214473? -119667506*o What is the third derivative of -10749650*a**3 + 4190947*a**2 wrt a? -64497900 Find the third derivative of 11608883*b**3 - 2*b**2 + 2033073*b wrt b. 69653298 What is the third derivative of 291*m**5 + m**4 + 5725*m**3 + 2866504*m**2 - 3*m + 1? 17460*m**2 + 24*m + 34350 Find the third derivative of 6150402*u**3 - 5*u**2 + 966113*u wrt u. 36902412 What is the derivative of -119048*b*t + 208486*b + 25*t + 183 wrt t? -119048*b + 25 What is the first derivative of -242*z**4 - 13401*z**3 + 20335078? -968*z**3 - 40203*z**2 What is the first derivative of -1261579581*m - 1128410966 wrt m? -1261579581 Find the second derivative of -931*l**3*z**4 - 10064*l**3*z - l**3 - 24*l**2*z + 2194*z**5 - 20*z wrt z. -11172*l**3*z**2 + 43880*z**3 Find
{ "pile_set_name": "DM Mathematics" }
= 2*v - 5*u - 1590, 12*v = 15*v + 4*u - 2385. What is the hundreds digit of v? 7 Suppose -5*c + 56 = j - 20, -2*c = 0. What is the units digit of j? 6 Let r(c) be the third derivative of -c**6/120 + 4*c**5/15 + c**4/6 + 13*c**3/2 + 14*c**2. What is the hundreds digit of r(16)? 1 Suppose 2*i + 4*h = 5314, -5406 = -3*i - 3*h + 2577. What is the thousands digit of i? 2 Let o = 3525 + -1793. What is the hundreds digit of o? 7 Let w be ((-11)/(-9) - 1) + (-20)/9. Let j(n) = -91*n + 12. What is the units digit of j(w)? 4 Suppose 4*n - 7*n = -30. Suppose -951 = -n*y + 749. What is the hundreds digit of y? 1 Let a be ((-172)/(-6))/((-14)/(-21)). Let d = -38 + a. What is the units digit of d? 5 Suppose 15*i - 4866 + 1761 = 0. What is the tens digit of i? 0 Let s(u) = -u**3 + 11*u**2 + 25*u - 20. What is the tens digit of s(8)? 7 Let n = 396 + 26. What is the units digit of n? 2 Suppose -3*w + 5877 = 3*j, 10*j - 2*w - 9823 = 5*j. What is the hundreds digit of j? 9 Let d(g) = g**2 + 5*g + 7. Let c be d(-4). Suppose c*t + 5 = -2*t. Let b = t - -10. What is the units digit of b? 9 Suppose -3*z + r = -2019, z + r = 22 + 647. Suppose -336 = -2*p - 5*j, 4*p + j - z = 6*j. What is the hundreds digit of p? 1 Let i = -1909 + 3387. What is the hundreds digit of i? 4 Suppose 3*x = -2*x + 5*b + 3060, -7*b + 28 = 0. What is the tens digit of x? 1 Let d(n) = n**2 - 11. Suppose 2*u + 27 = 5*c - u, 0 = c - 4*u - 2. What is the units digit of d(c)? 5 Let n be 94/3 + (-6)/18. Let a = -12 + n. What is the tens digit of a? 1 Let i = -511 - -598. What is the tens digit of i? 8 Let h be (-804)/(-48) - 2/(-8). Let r = h + -12. What is the tens digit of (-4)/8*-8*r? 2 Suppose 10*p = 6*p. Suppose -156 = -2*y + k, p*k - 78 = -y - k. Let b = -39 + y. What is the tens digit of b? 3 Let c = -66 + 62. What is the units digit of (-15)/c*(-80)/(-15)? 0 Let q(i) = -2*i + 4 + 2*i**2 - 2*i - 78*i**3 + 81*i**3. What is the tens digit of q(4)? 1 Suppose -8 = y - 0*y + 3*a, 2*y + 5*a + 13 = 0. Let v be 6/y*(-208)/(-6). What is the units digit of v/12 - 1/3? 7 Let n = 969 - 546. What is the hundreds digit of n? 4 Suppose 1888 = -4*i + 5504. What is the units digit of i? 4 Suppose -5645 = -11*l + 1164. What is the hundreds digit of l? 6 Let n = 61 - 76. What is the units digit of (48/54*n)/(2/(-6))? 0 Let s be (10/30)/(2/66). Let w = 19 - s. Suppose 3*o + 140 = w*o. What is the tens digit of o? 2 Suppose -4*z - 513 + 1446 = v, -3*v + 2747 = -z. What is the units digit of v? 7 Let w(o) = -3*o + 3 + 28*o - 12*o - 7*o. Let h(l) = -l**3 - 6*l**2 - 2*l - 9. Let v be h(-6). What is the tens digit of w(v)? 2 Let l = 1 + -56. Let s be (-5)/1*2024/l. Suppose 3*f = -2*y + 60, -4*y + f = y - s. What is the tens digit of y? 3 Let d = 125 - 221. Let m = 204 + d. What is the tens digit of m? 0 Let o(y) = -y**3 + 5. Let a be o(0). Suppose -a*u = -4*s - 130, -4*s - 5 - 81 = -3*u. What is the tens digit of u? 2 Suppose -t - 2*q + 197 = 0, -712 = -3*t - q - 126. What is the hundreds digit of t? 1 Let b(h) = -5*h - 2. Let l = -28 + 28. Let s be (-18 + 6)/(1 - l). What is the tens digit of b(s)? 5 Let y(b) = -3*b**3 - b**2 - 2*b - 1. Let v be y(-1). Let l be (-6)/v + (1 - -3). Suppose l*r = 31 + 61. What is the tens digit of r? 4 Let l(i) = -72*i + 25. What is the units digit of l(-1)? 7 Let t be 30 - ((-9)/6 + 2/(-4)). Suppose -33*a + 30 = -t*a. What is the tens digit of a? 3 Let o = 479 + -377. What is the tens digit of o? 0 Let u = 53 - 29. Suppose u = -t - t. Let g = 32 + t. What is the units digit of g? 0 Let n(t) = -t**2 + 56. Let g be n(0). Suppose 0 = u + u - g. What is the units digit of u? 8 Let u be 2/(-5*(-4)/2090). Suppose -149 = -3*i - 2*a, a + u = 3*i + 54. What is the units digit of i? 1 Let z(g) = -3*g + 15. Let p be z(-9). Let r = 17 + -3. Let u = p - r. What is the tens digit of u? 2 Let d(k) = 371*k**3 + k - 2. What is the units digit of d(1)? 0 Suppose 3*a + 4*b - 335 = 4631, -4968 = -3*a - 3*b. What is the hundreds digit of a? 6 Suppose 0 = 3*p - 5*p + 40. Let h be (96/18)/(-4)*(-1 - -4). Let c = p + h. What is the tens digit of c? 1 Let n = -352 - -572. Suppose -p - n = -6*p. What is the units digit of p? 4 Suppose -2*v - 6*r + 14 = -4*r, -3*r = 5*v - 41. Let q(s) = s - 8. Let u be q(3). What is the units digit of (-2)/u - (-116)/v? 2 Let z(i) be the third derivative of i**5/60 + i**4/3 + 7*i**3/6 + 6*i**2. Let o be z(9). What is the units digit of (o/(-25))/(3/(-15))? 2 Suppose 3*g - 7 = 8. Let o(z) = 4*z**2 + z - 5. Let l(a) = 2*a**2 - 3. Let h(v) = g*l(v) - 2*o(v). What is the tens digit of h(4)? 1 Let q(p) = 4*p - 24. Let w be (5/2)/(7/14). Let s(f) = -7*f + 47. Let c(t) = w*q(t) + 3*s(t). What is the units digit of c(0)? 1 Suppose -3*d - 2*d - 2*u = 275, 3*d + 4*u = -165. Let h = -12 - d. What is the tens digit of h? 4 Suppose 0 = -26*a + 40*a - 79394. What is the tens digit of a? 7 Suppose 0 = 3*u + 6 - 0. Let t = u - -45. What is the units digit of t? 3 Let j(b) = 5*b**2 - 8*b - 45. Let p(z) = -9*z**2 + 15*z + 89. Let k(v) = 7*j(v) + 4*p(v). What is the tens digit of k(0)? 4 Let u(f) = f**2 + 5*f + 4. Let d be u(-5). Let t(j) = j**3 - 2*j**2 - 9*j + 14. What is the units digit of t(d)? 0 Let j(u) = 131*u - 61. Let w be j(11). Suppose 2*h + 5*k - 666 = 0, -4*h - 3*k = -5*k - w. What is the hundreds digit of h? 3 Let b be (-395)/(-3 + -2)*1. Let r = 112 - b. Suppose 129 = 4*c + 5*m, 4*c - 5*c + r = m. What is the tens digit of c? 3 Suppose -3*a + 5*a - 4078 = 4*i, 4042 = 2*a + 5*i. What is the tens digit of a? 3 Let q = -71 - -457. What is the units digit of q? 6 Suppose 12838 = -7*o + 44065. What is the thousands digit of o? 4 Let u(h) = 2*h - 4. Let v be u(3). Let l be ((-4)/8)/(v/(-48)). What is the units digit of (-1 - -2)*l - 3? 9 Let g = -228 + 568. Suppose 14*i - 4*i - g = 0. What is the tens digit of i? 3 Suppose 0 = -s - 8*h + 3*h + 1801, -5*h - 20 = 0. What is the thousands digit of s? 1 Suppose 3 = -2*y - 3*c, 4*y = -4*c + 5*c + 29. Let s(u) = 2*u**3 - 11*u**2 + 1. What is the units digit of s(y)? 7 Let t = -3612 + 5285. What is the units digit of t? 3 Let s be (1/2)/(6/12). Let b be (-28)/s*(-4)/2. Suppose 2*i = -0*i + b. What is the units digit of i? 8 Suppose 4*z - 3 - 5 = 0. Suppose s = z*i + 4*s + 6, 2*i = -s - 2. Suppose 4*n - 4*j = -i*j + 148, 2*n = -j + 77. What is the units digit of n? 8 Suppose 5*g = -99 + 39. What is the units digit of (75/10)/((-2)/g)? 5 Let p be (5/(-3))/(6/(-18)). Suppose 2*u = -5*y + 35, -y + 3*u - 15 + p = 0. Suppose -y*l + 48 + 27 = 0. What is the tens digit of l? 1 What is the units digit of (-3)/(60/(-8))*(12 + 1903)? 6 Suppose -y = -596 - 64. What is the hundreds digit of y? 6 Suppose 97*q + 17172 = 100*q. What is the tens digit of q? 2 Suppose 0 = s + s + 8. Let x be -15*s/6 - 0. Suppose -x = -4*w + 18. What is the units digit of w? 7 Let o = 7438 - 3852. What is the tens digit of o? 8 Let d(o) = 6*o + 121. What is the units digit of d(5)? 1 Let b(f) = 14*f + 874. What is the hundreds digit of b(0)? 8 Suppose 8633 = 19*q - 962. What is the units digit of q? 5 Suppose t - 143 = 57. Suppose o + s = -4*s + 66, -4*s + t = 4*o. What is the tens digit of o? 4 Let n = 16 + -18. Let r be -2*(5/n + 1). Suppose -r*f = -2 - 22. What is the units digit of f? 8 Let h = 160 - 89. Suppose -13*m = -12*m - h. What is the units digit of m? 1 Let z(k) = -2*k - 2. Let c be z(7). Let r be ((-4)/c)/((-2)/(-16)). Suppose q - r*q = -26. What is the units digit of q? 6 Suppose -t + 2*t = 328. Suppose -3*o = 0, t = 5*l + o - 267. Let r = -66 + l. What is the units digit of r? 3 Let r(o) = 2*o**2 + 25*o - 30. What is the units digit of r(21)? 7 Let y be 380/(-8)*8/(-10). Suppose y = 4*d - 5*d. What is the units digit of (d/(-1))/((-6)/(-3))? 9 Suppose 16*c = 3*c + 20124. What is the thousands digit of c? 1 Let t be (-12)/(-2)*(-18)/12. Let b be 182/t - 4/(-18). Let k = -1 - b. What is the units digit of k? 9 Suppose 2*h + 2 = -16. Let n be (6/(-4))/(h/(-12)). What is the tens digit of (n/(-8))/((-6)/(-264))? 1 Suppose 4*u = -5 - 11, 35 = 3*w - 2*u. Suppose -w*a = -a + 96. What is the units digit of (8/6)/((-2)/a)? 8 Suppose -5*z + 53 = c - 91, -3*c = -4*z + 100. What is the tens digit of z? 2 Let j(r) = -r**3 + 2*r**2 + 5*r - 4. Let b be j(3). Suppose -53 =
{ "pile_set_name": "DM Mathematics" }
What is d(-6)? -30 Suppose -3*c = -4*q - 83, 0*c + 27 = c - 2*q. Let l = c + -17. Let u(j) = 322*j - 12 - 1040*j + 354*j + 365*j. Calculate u(l). 0 Let v(x) = 3*x**2 + 12*x - 7. Let w(o) = -43*o - 1595. Let d be w(-37). What is v(d)? -7 Let q(y) = 5*y**2 + 16*y - 48. Let t(p) = 6*p**2 + 19*p - 55. Let l(z) = -5*q(z) + 4*t(z). What is l(-7)? -1 Let f(q) = -q - 4. Suppose 0 = -9*b + 514 - 451. Let k = -2 + 2. Suppose -b*z - z - 40 = k. What is f(z)? 1 Let r(t) be the third derivative of -t**5/60 + 7*t**4/24 - 17*t**3/6 - 230*t**2 - 7. What is r(2)? -7 Suppose 38*q - 69 = -335. Let j(k) = -k**3 - 12*k**2 - 18*k - 8. What is j(q)? -127 Let c(i) = 2*i**2 - 40*i - 24. Let y be c(21). Suppose l = -p + 1, -3*l + 2*p = -2*p + y. Let q be 6/6 + (-2)/l. Let o(s) = 2*s**2 - 2. What is o(q)? 6 Let t(w) = -574*w - 678*w - 12 + 1256*w. Calculate t(-4). -28 Let m(b) = 48*b + 368. Let a(y) = 32*y + 252. Let v(i) = -7*a(i) + 5*m(i). Calculate v(-5). -4 Let w(n) be the third derivative of n**6/120 - 11*n**5/60 - 5*n**4/12 - 9*n**3/2 + 791*n**2. What is w(12)? -3 Let v = -7168 + 7150. Let u(d) = -d**3 - 18*d**2 + 3*d. Determine u(v). -54 Let g(b) = b**2 + 41*b + 47. Let d be (40/7)/(94/(-658)). Determine g(d). 7 Let a(r) be the second derivative of 0 - 47*r + 0*r**2 - 1/6*r**3. Let t = -7 - -3. What is a(t)? 4 Let o(d) = 214*d - 1067. Suppose -5*m + 2095 - 2070 = -3*p, -8 = -m. Determine o(p). 3 Let c be -8 + (-6 - (-2 + -2))*(-35)/10. Let o(q) = -54*q**2 + 3*q + 2. Determine o(c). -55 Let r = 80 + -79. Let i(z) be the second derivative of z**5/5 - z**3/6 + z**2/2 + 3*z + 22. What is i(r)? 4 Let d(p) = 2*p - 6. Suppose -47 - 148 = -4*a + c, -c = -5. Let y be (375/a - 1/(-2)) + -4. Determine d(y). 2 Let x(h) = -h**2 - 18*h + 21. Let y(n) = 6*n**2 + 73*n - 85. Let f(c) = -9*x(c) - 2*y(c). Give f(5). -14 Let p be 298*(-2)/13 - (-14)/(-91). Let r = p - -43. Let m(u) = -u + 4. Let t(h) = -h + 1. Let z(q) = m(q) - 2*t(q). What is z(r)? -1 Let f(c) = -3*c + 6. Suppose 1443 - 183 = 7*q. Let n = q + -176. Determine f(n). -6 Let b(c) = c**2 + 11*c - 13. Suppose 0 = -7*h - 65 + 485. Suppose 183*l = 178*l - h. What is b(l)? -1 Let t = 15 - 15. Let d(c) = -c + 5 + 1041*c**2 - 1042*c**2 + 1. What is d(t)? 6 Let c = -6781 + 6747. Let j(w) = -3*w - 98. Give j(c). 4 Let n(s) = -15*s + 5. Let a be n(-3). Let w be (-1 - 1)/6*-15. Suppose 20 = w*c + a. Let o(i) = i**2 + 6*i - 8. Determine o(c). -8 Let c(d) = -d**3 - 5*d**2 - 6*d + 4. Suppose 0 = 53*h - 51*h - 70. Suppose 5*p + 4*b = -h, 0 = -p + 4*b + 9 + 8. Determine c(p). 4 Let p(c) be the third derivative of -c**6/60 - 49*c**5/60 + c**4 - 31*c**3/6 - c**2 + 114. Determine p(-25). -6 Suppose -408*a + 407*a = u - 20, 0 = -4*a - 16. Let d(v) be the first derivative of u - 8*v - 1/2*v**2. Give d(-11). 3 Suppose 1010*x = 1024*x - 140. Let g(l) = l**2 + l - 117. Determine g(x). -7 Let i(o) = o**2 - o + 2. Let p be i(3). Let w be 6 - (4/70 - 180/3150). Let f(j) = 11*j + p - w*j - 6*j. What is f(9)? -1 Let n(h) be the second derivative of -1/20*h**5 + 190*h + 0 - 4/3*h**3 - 2/3*h**4 - 4*h**2. Let z(j) = -8*j + 1. Let l be z(1). Determine n(l). -1 Suppose z + 4*j = 2, 4*z - 6*j = -5*j + 8. Suppose 0 = -z*i - 14 + 30. Suppose -4*y = -12, 2*w - i = 3*y - y. Let a(f) = -f**2 + 8*f - 7. What is a(w)? 0 Let k(m) = 6*m**3 - 9*m**2 - m + 49. Let n(o) = -29*o**3 + 49*o**2 + 5*o - 243. Let p(x) = 24*k(x) + 5*n(x). Calculate p(29). -10 Let r(i) = 0*i**3 + i**3 - 2 + 0 - 6*i**2 + 6*i. Let q(o) = -27*o**2 - 1053*o + 5. Let j be q(-39). Determine r(j). 3 Let a(j) be the first derivative of 11*j**2/2 - 2*j - 473. Suppose 0 = -c + 35 - 34. Determine a(c). 9 Let h be (-6)/(-16)*(7/36)/((-46)/(-736)). Let u(r) be the third derivative of 0 + 1/4*r**4 - 1/60*r**5 + h*r**3 + 0*r + 10*r**2. Give u(7). 0 Let z(n) be the second derivative of -n**7/840 + n**6/120 + n**5/120 + n**4/6 + 13*n**3 + 7*n. Let x(g) be the second derivative of z(g). What is x(3)? 7 Let y(k) = 0*k + 9 - 7 + k - 12*k + 7. Let b be y(1). Let j(w) = 1 - 3*w + 0*w + 1. Determine j(b). 8 Let b(k) = -3*k - 8. Suppose -4*o + a - 81 = 0, 61 = -3*o + 2*a - 6. Give b(o). 49 Let g = 1816 - 1817. Let c(o) = 3*o**3 - 2*o**2 - 3*o. What is c(g)? -2 Let g(x) = 29*x**2 - 55*x + 168. Let u(m) = 3*m**2 - 6*m + 18. Let q(n) = -4*g(n) + 38*u(n). What is q(2)? -12 Let k(i) = -7*i + 3. Let t(w) = 35*w - 15. Let s(x) = 17*x - 7. Let h(z) = -5*s(z) + 2*t(z). Let u(a) = 6*h(a) - 13*k(a). Determine u(6). -3 Let x(f) be the first derivative of 5*f**2/2 - 5*f + 7. Let o(n) = -4*n + 5. Let h(z) = -4*o(z) - 3*x(z). What is h(0)? -5 Let d = -315 + 339. Let z(q) = -q + 14. Let y be z(d). Let a(v) = 2*v + 6. What is a(y)? -14 Let q(k) = 2*k**2 - 117*k + 168. Suppose -206*a = 202*a - 7417 - 15839. Calculate q(a). -3 Let q(v) = v - 13. Let a(c) = -c**3 + 7*c**2 + 66*c - 372. Let s be a(5). What is q(s)? -5 Let o(q) = -q**3 + 13*q**2 + 15*q - 18. Let t(a) = -40*a - 266. Let d be t(-7). Calculate o(d). -4 Let s(y) = -111 - 2*y**3 + 54 + 14*y + 53 + 10*y**2. Let p be s(6). Let c(h) be the second derivative of -h**3/6 + 9*h**2/2 - 4*h. Calculate c(p). 1 Let b be 14/(-126) + (-38)/(-8)*320/72. Let y(q) = -19*q + 405. Calculate y(b). 6 Let u = -12 + 14. Let d(r) = 9 - 2*r**2 + 3*r**u + 0*r + 8*r. Suppose -48*z + 24*z = 168. Give d(z). 2 Let a(l) = l + 11. Let k(i) be the second derivative of 5*i**3/6 + 28*i**2 + 16*i + 2. Let m(p) = 11*a(p) - 2*k(p). Give m(0). 9 Let n(b) = b**2 - 5*b - 2. Let y(z) = z**3 + 5*z**2 + 3*z - 3. Let a be y(-4). Let d be 3 + (-5 + a)*-1. Calculate n(d). 12 Let c(x) = 5*x + 1. Let r(u) be the first derivative of -u**2 - 10*u - 3. Let n be r(-6). Calculate c(n). 11 Let g be ((-21)/(-6) + -4)/(15/120). Let k(x) be the third derivative of x**4/8 + x**3 - 5*x**2. What is k(g)? -6 Let j(n) = -n + 93. Let t(y) = -19. Let g(d) = -j(d) - 3*t(d). What is g(13)? -23 Let v(w) = 8*w - 7 + 26 - 3*w + 10 - 2*w. Calculate v(-10). -1 Let r(h) be the second derivative of -h**5/20 + 3*h**4/4 + 13*h**3/6 - 6*h**2 + 982*h. Determine r(10). 18 Let n(x) be the third derivative of 5*x + 1/24*x**4 - 1/2*x**3 + 3*x**2 + 0. Give n(8). 5 Let v = 1595 - 1585. Let q(t) = t**2 - 9*t - 21. Determine q(v). -11 Let o(c) be the first derivative of c**4/4 - 5*c**3 + 7*c**2/2 - 104*c + 4973. Calculate o(15). 1 Let w be (23/5 - 5)/(21 + 2508/(-120)). Let q(n) be the second derivative of n**4/12 - 5*n**2/2 - n. What is q(w)? 11 Suppose -24*j = -3*u - 23*j + 8, 0 = -2*u + 3*j - 4. Let z(n) = 3*n**2 - 4*n. Determine z(u). 32 Let s(m) = -m**2 - 13*m + 8. Let g be 1079/6 - 48/(-288). Let l = -193 + g. Determine s(l). 8 Let b(k) be the second derivative of k**4/12 - 2*k**3/3 - 18*k**2 - 1822*k. Determine b(9). 9 Let i(x) be the first derivative of -50 + 0*x + 1/2*x**2. Give i(-4). -4 Let g(s) = -s**2 - s - 4. Let m = -99 + 93. Let a be (-3 - m)/6*0 - -2. Suppose 15 = a*i + 5*y, -2*i + 3*y - 9 = -6*i. What is g(i)? -4 Let z be -18*(-5 + (-5 - -6))/2. Let f(m) = -1 + 3 - 12*m + z*m - 10*m - 10*m. Determine f(-5). -18 Let x be (-2)/(-4)*(2 + 0). Let l(u) = -74*u**2 + 12*u - 12. Let q(c) = -206*c**2 + 34*c - 34. Let i(p) = -14*l(p) + 5*q(p). Determine i(x). 6 Let n(c) = 7*c + 36. Let y(k) = 4*k + 18. Let u(g) = 3*n(g) - 5*y(g). Calculate u(-3). 15 Let u(z) = -27*z + 1878. Let c be u(70). Let l(s) = -s**2 - 16*s - 51. Determine l(c). -3 Let z = 23 + -27. Let w(m) = 2*m**3 + 7*m**2 - 5*m - 8. Let p be w(z). Let r(v) = v**3 + 4*v**2 + 5*v + 5. Give r(p). -15 Suppose 0*u - 2*u - d - 62 = 0, 4*d - 52 = 2*u. Let t = u - -40. Let a(h) = 4*h**2 + 0*h**2 - 1 + 2*h + 4*h**2 + t*h**2. Determine a(1). 19 Let q(b) = -5*b**2 + 9*b + 5. Let x(y) = 5*y**2 - 35*y - 20. Let k(i) = 4*q(i) + x(i). Let w = 1 + -2. Calculate k(w). -16 Let l(c) = -4*c**2 + 2*c + 2. Let r(m) = -m**3 - 10*m**2 + 8*m + 85. Let d be r(-10). Determine l(d). -88 Suppose -4*o + 18 = -2*q, 0 = 59*q - 56*q + o + 48. Let f = -18 + 33. Let y = q + f. Let g(x) = x**3 - x**2 + x + 3. What is g(y)? 3 Let l(z) = -11 + 5 - 49*z - 29*z + 59*z. What is l(0)? -6 Let q(c) = -23*c**2 + c - 2. Let x(i) = -2*i**2 - 174*i - 665. Let y be x(-83). What is q(y)? -26 Let f(k) = -11*k**3 + k**2 + k. Let w be (-18)/12 - ((-30)/(-4) + 1). Let x be -1 - w/35 - 6/21. Calculate f(x). 11 Let b(v) = -3 + 3*v - 3 - 2
{ "pile_set_name": "DM Mathematics" }
base 14) to base 15. -a 1002020 (base 3) to base 14 405 140 (base 5) to base 9 50 1248 (base 15) to base 11 2a1a What is 1013 (base 9) in base 12? 519 What is -1112011 (base 3) in base 9? -1464 What is 12926 (base 11) in base 14? 69da 2aa (base 14) to base 12 392 What is 22202111 (base 4) in base 13? 1684a What is 422b (base 13) in base 5? 243123 -200002 (base 3) to base 6 -2132 1292 (base 13) to base 15 bbe What is 9e16 (base 16) in base 4? 21320112 What is -9b9 (base 15) in base 14? -b31 Convert -3261 (base 11) to base 15. -141c Convert -6250 (base 8) to base 11. -2486 Convert -10125 (base 6) to base 7. -3635 Convert -2022000 (base 4) to base 12. -5140 Convert 14304 (base 8) to base 13. 2b69 -20821 (base 9) to base 3 -200220201 Convert 11011011000 (base 2) to base 6. 12040 Convert 101011110000 (base 2) to base 13. 1375 11023003 (base 4) to base 2 101001011000011 -1002010 (base 3) to base 9 -1063 What is 11727 (base 9) in base 13? 3784 Convert 21121200 (base 3) to base 16. 15b1 Convert -3405 (base 8) to base 4. -130011 Convert 517 (base 16) to base 5. 20203 Convert 676 (base 16) to base 3. 2021021 What is -12157 (base 11) in base 13? -7c61 -a7 (base 14) to base 7 -300 Convert 7480 (base 9) to base 5. 133444 Convert 10000001011 (base 2) to base 5. 13120 10011001110001 (base 2) to base 9 14444 -272 (base 9) to base 7 -443 15340 (base 9) to base 16 28f5 -1265 (base 16) to base 3 -20110102 Convert 4572 (base 11) to base 9. 8215 What is -63705 (base 10) in base 11? -43954 What is 898 (base 10) in base 3? 1020021 -1111120 (base 3) to base 7 -3123 -1149 (base 10) to base 11 -955 What is 100030 (base 5) in base 8? 6104 Convert 116330 (base 8) to base 13. 15378 What is -8b2 (base 14) in base 16? -6bc Convert -78227 (base 9) to base 10. -51946 What is 12021 (base 5) in base 11? 736 Convert 204443 (base 5) to base 12. 3b89 -24026 (base 9) to base 13 -7407 Convert 3a7 (base 13) to base 9. 785 -1011110000 (base 2) to base 9 -1025 What is -7028 (base 11) in base 6? -111135 Convert 24 (base 11) to base 9. 28 Convert -1121210 (base 3) to base 13. -6cc -247 (base 9) to base 3 -21121 Convert -112301 (base 4) to base 3. -1222222 54476 (base 8) to base 10 22846 Convert 3051 (base 7) to base 15. 4b0 774 (base 8) to base 16 1fc What is 142401 (base 5) in base 11? 4543 What is 15bd9 (base 15) in base 4? 101020203 -3077b (base 12) to base 9 -105755 -121230 (base 4) to base 6 -11340 What is -132820 (base 9) in base 13? -2aa59 2931 (base 14) to base 16 1c7f Convert -8390 (base 10) to base 15. -2745 What is 138 (base 12) in base 13? 116 What is 6b56 (base 13) in base 11? 10399 577 (base 16) to base 9 1824 Convert -211220 (base 5) to base 13. -32a1 110222001 (base 3) to base 16 24eb Convert 20a (base 16) to base 12. 376 What is -11581 (base 9) in base 12? -45b4 What is 1120100 (base 3) in base 9? 1510 Convert 1103031 (base 5) to base 8. 45305 Convert 2b4 (base 12) to base 7. 1144 Convert 925 (base 15) to base 4. 200030 Convert 323220 (base 4) to base 14. 1568 Convert -10301 (base 4) to base 12. -215 What is -2498 (base 12) in base 7? -15044 Convert -4055 (base 14) to base 8. -25453 What is 90 (base 16) in base 15? 99 -73a (base 13) to base 14 -640 What is -100001001 (base 2) in base 8? -411 Convert 40374 (base 10) to base 2. 1001110110110110 1426 (base 7) to base 8 1057 Convert -3030301 (base 4) to base 7. -53131 Convert -110100011000010 (base 2) to base 12. -1362a Convert -4334 (base 9) to base 6. -22434 What is -1d (base 16) in base 13? -23 What is -1114 (base 6) in base 13? -172 -10000001100 (base 2) to base 3 -1102101 Convert 2022 (base 6) to base 8. 676 74 (base 16) to base 3 11022 -217 (base 16) to base 6 -2251 What is 2149 (base 13) in base 12? 2814 33010 (base 4) to base 3 1022201 5a8 (base 14) to base 9 1483 520 (base 7) to base 2 100000011 Convert -1222 (base 4) to base 16. -6a What is -11c (base 15) in base 8? -374 -57173 (base 10) to base 12 -29105 Convert 22100 (base 3) to base 15. 100 Convert -329 (base 14) to base 16. -271 11455 (base 6) to base 9 2278 22222 (base 5) to base 14 7d8 What is -462 (base 16) in base 7? -3162 What is -3440 (base 8) in base 11? -1409 What is -3a8 (base 15) in base 7? -2300 What is 14773 (base 9) in base 16? 277e -1142 (base 16) to base 10 -4418 Convert -3003310 (base 4) to base 9. -18164 Convert -1615 (base 7) to base 13. -3ac -5560 (base 7) to base 11 -1560 What is -244110 (base 5) in base 8? -22100 What is 1010000101010 (base 2) in base 12? 2ba2 2062 (base 14) to base 13 26ca -6084 (base 11) to base 3 -102002012 What is 883 (base 9) in base 10? 723 Convert 7c8 (base 16) to base 15. 8cc What is -278 (base 10) in base 3? -101022 52046 (base 9) to base 3 1202001120 What is -a580 (base 15) in base 9? -53003 What is 6c93 (base 14) in base 5? 1101240 What is -3a4 (base 12) in base 3? -202121 What is 101000101 (base 2) in base 8? 505 What is -1206 (base 15) in base 3? -12020220 Convert -6454 (base 7) to base 12. -13b1 What is 1420203 (base 5) in base 2? 111001011110100 What is -6054 (base 7) in base 16? -831 Convert 312 (base 12) to base 10. 446 What is -32b (base 12) in base 13? -29c 92ab (base 15) to base 2 111100100001010 -12212202 (base 3) to base 11 -3247 4ba (base 16) to base 14 626 What is -9544 (base 10) in base 13? -4462 Convert -2234 (base 6) to base 14. -298 -2320 (base 4) to base 5 -1214 What is -4ae7 (base 15) in base 16? -3e5f Convert d261 (base 14) to base 5. 2124044 200122 (base 3) to base 6 2155 Convert -100001011 (base 2) to base 14. -151 Convert 210 (base 12) to base 15. 150 Convert 21615 (base 9) to base 15. 43bb 367 (base 9) to base 12 214 What is -101000100 (base 2) in base 13? -1bc What is 12033 (base 8) in base 5? 131042 7072 (base 9) to base 13 2477 Convert 3123 (base 4) to base 11. 18a What is 134535 (base 6) in base 12? 744b -17b (base 12) to base 11 -1a8 Convert -35335 (base 6) to base 9. -6885 -856 (base 9) to base 13 -41a Convert 54332 (base 7) to base 3. 200120202 Convert -16490 (base 11) to base 5. -1220320 What is -1271 (base 9) in base 2? -1110111011 Convert -316 (base 8) to base 3. -21122 What is -2040 (base 5) in base 14? -154 Convert -201001 (base 3) to base 15. -244 What is -742 (base 11) in base 14? -47b Convert 1066 (base 10) to base 6. 4534 -3320 (base 5) to base 14 -24c -401 (base 7) to base 10 -197 What is -1100010001000 (base 2) in base 13? -2b21 694e (base 15) to base 2 101011101001101 What is -100111001 (base 2) in base 11? -265 Convert 1b38 (base 13) to base 2. 1000000000111 What is 47a5 (base 12) in base 2? 1111101101101 What is -3013 (base 7) in base 13? -61c What is -1858 (base 12) in base 9? -4035 Convert -652 (base 11) to base 7. -2166 b9 (base 15) to base 16 ae What is 266a (base 13) in base 5? 133441 -55b (base 16) to base 6 -10203 1100202 (base 3) to base 14 50c 1310013 (base 4) to base 13 34c8 734 (base 11) to base 4 31310 -2c6 (base 15) to base 6 -2540 -1002021221 (base 3) to base 2 -101001101101011 787b (base 12) to base 10 13343 -31733 (base 9) to base 6 -241133 2f8 (base 16) to base 7 2134 -950 (base 12) to base 16 -54c -1180c (base 14) to base 15 -c9e5 2412 (base 5) to base 8 545 What is 417 (base 11) in base 6? 2154 Convert 2477 (base 11) to base 10. 3230 -a596 (base 11) to base 12 -8144 Convert 41613 (base 9) to base 13. c672 4314 (base 7) to base 15 6c0 -10111111111 (base 3) to base 15 -1562a -17676 (base 8) to base 7 -32456 1431 (base 8) to base 16 319 Convert -1091 (base 11) to base 2. -10110010111 What is -1441 (base 5) in base 14? -138 Convert -12021 (base 4) to base 6. -1453 What is 2434 (base 5) in base 3? 111200 -314 (base 6) to base 8 -166 What is 31787 (base 10) in base 16? 7c2b Convert 150b (base 13) to base 10. 3053 7b2c (base 13) to base 7 101240 11111000110 (base 2) to base 10 1990 What is 2119 (base 10) in base 2? 100001000111 Convert 1011103 (base 4) to base 16. 1153 Convert 465 (base 11) to base 10. 555 Convert 636 (base 11) to base 8. 1375 -13685 (base 10) to base 13 -62c9 -4583 (base 10) to base 11 -3497 Convert 849 (base 12) to base 9. 1583 476 (base 13) to base 7 2153 Convert -2e6 (base 15) to base 5. -10131 -57 (base 16) to base 2 -1010111 What is -1f67 (base 16) in base 10? -8039 Convert -73829 (base 10) to base 11. -50518 Convert 220201211 (b
{ "pile_set_name": "DM Mathematics" }
2*h**2 + 7*h + 5. Let g be u(-2). Let i(d) = 2*d**2 - 12*d - 10. Determine i(g). 4 Let i(m) = 18*m + 13*m - 33*m - 3 + 4. Calculate i(-1). 3 Let l(i) = -2*i - i**3 - 11 + 2 - 5 - 15*i**2 - 2. Determine l(-15). 14 Suppose 116*i + 84 = 112*i. Let d(b) = -b - 13. Calculate d(i). 8 Let f be 24/(-20)*1/((-4)/10). Suppose -f*q + 1 = -4*q. Let j(y) = -17*y**2 - 1. Calculate j(q). -18 Let n(g) be the second derivative of -g**2 - 2/3*g**3 - 11*g - 1/4*g**4 + 0. Give n(-2). -6 Let y = -273 + 553/2. Let t(b) be the first derivative of b - y*b**2 + 4 - 1/3*b**3. Determine t(-7). 1 Suppose 5*d - 4*p - 65 = 0, -8*p + 12*p = 0. Suppose -10 = 2*v - v. Let n = d + v. Let g(i) = -3*i + 3. Calculate g(n). -6 Let n(m) = -m**2 + 15. Let t = 241 + -241. Determine n(t). 15 Suppose -2*l = 8, -4*p = -3*l + 2*l - 64. Let o(j) = -6*j - 9 - j**3 + 16 - p*j**2 + 23*j**2. Calculate o(7). 14 Let v(n) = -n - 12. Let m = -16 - -4. Let x be v(m). Let z(q) = -q**2 + q - 4. Calculate z(x). -4 Let m(h) = -h**2 + 4*h. Let w be -1 + 33/27 - (-1276)/(-396). What is m(w)? -21 Let x(k) = -k**3 + k**2 + k - 24. Let p be (4 - 1) + 4 - 7. Calculate x(p). -24 Suppose 6*w + 70 = w. Let p be -7 + -1 - w/7. Let q(t) = -3. Let a(d) = -d + 9. Let y(v) = -2*a(v) - 7*q(v). Determine y(p). -9 Suppose -11 = -b - f, -7*f - 53 = -5*b - 10*f. Let t(m) = m**3 - 9*m**2 - 8*m - 7. Calculate t(b). 13 Let i = 320 + -322. Let r(m) = -3*m**3 + m**2 - m. Determine r(i). 30 Let m(g) = -g + 4. Suppose 42 = 5*t - 288. Suppose -t = -w - 10*w. Give m(w). -2 Let a = 26 + -26. Suppose 0 = -a*o + 3*o - 12. Let d(p) = 2*p - 3. What is d(o)? 5 Let z(v) = v + 3. Suppose -433*d + 423*d - 40 = 0. Calculate z(d). -1 Let d(s) = -s + 1. Let n be -10 - -4*(-1)/(-1). Let q be d(n). Suppose -y = -2*f - 0*y + q, -2*f + 1 = -3*y. Let j(u) = u**3 - 5*u**2 + 6. Give j(f). 6 Suppose 4*h = 5*z + 33 + 1, 0 = -5*h - z + 28. Let r(u) = -24*u - h + 12*u + 13*u. Calculate r(-10). -16 Let f = -23 - -30. Let t(c) = 0*c**2 - 6*c - 8*c + c**2 + 7 + f*c. Determine t(6). 1 Let a(m) = -m**3 - 2*m**2 + 2*m. Suppose 0 = -282*h + 295*h - 26. What is a(h)? -12 Suppose 4 + 2 = 3*g. Let w = -11 - -12. Let d(o) = -o - w - 5 + 0*o**2 + 2*o**2 + 5. Calculate d(g). 5 Let p(w) = -w**3 - 7*w**2 - 7*w - 3. Let b(i) = 2*i**2 - 1 - 3 + 3*i**3 - 2*i**3 - 3*i + i**3. Let g be b(-2). Calculate p(g). 3 Let n(w) = 2*w + 2. Let g(r) = r**3 + 11*r**2 + 19*r + 9. Let k be g(-9). Suppose l + 3 - 1 = k. Determine n(l). -2 Let o(f) = -f**3 - 4*f**2 - 3*f + 4. Let h be o(-4). Suppose h + 6 = 2*g. Let z(v) = v - 3. Let b(i) = -6*i + 14. Let d(j) = g*z(j) + 2*b(j). Give d(0). -5 Let z(r) = r - 6. Suppose 5*w - 3*h = 3, -1 = -0*w - 2*w + h. Calculate z(w). -6 Let d(x) = 4*x**3 - x**2 - 1. Let t(r) = r**3 - r**2. Suppose 0 = -4*m + 5*f + 40, 6 = m - 3*f - 11. Let p(o) = m*t(o) - d(o). Determine p(4). 1 Let w(u) = 0*u**2 + 7*u - 3*u**2 + 2*u**2. Suppose 420 = 49*r + 11*r. What is w(r)? 0 Let c(h) = -h + 2. Let t be (-118)/(-2*(1 - 2)). Let s = -66 - t. Calculate c(s). 9 Let x(t) = 5*t + 6. Suppose -16*o = -14*o - 48. Suppose 12*g = 6*g - o. Calculate x(g). -14 Let c(a) = a**3 + 4*a**2 - 3*a - 1. Let p(h) be the second derivative of 1/6*h**3 + 0 - h - 13/2*h**2. Let b be p(9). What is c(b)? 11 Let t(u) be the third derivative of u**7/315 + u**6/720 + u**5/15 - 5*u**2. Let a(g) be the third derivative of t(g). Calculate a(1). 17 Let d = -4 + 8. Suppose -d*c = -4*m + 36, 3*c = 7*c + 20. Suppose 7 = m*k - j, 4*j + 8 = -5*k + k. Let v(z) = 9*z - 1. Determine v(k). 8 Let a(z) = -2*z + 3. Let u be a(4). Suppose -5*o + 10 = -0*o. Let x(h) = -2*h**2 + 0 + 2 - h**3 - o*h**2 + 3*h + 0. Calculate x(u). 12 Let s(m) = m**3 + 4*m**2 - 5*m + 5. Let a(r) = -r**3 - 5*r**2 + 6*r - 3. Let k(v) = 5*a(v) + 6*s(v). Calculate k(0). 15 Let d = -246 + 249. Let n(m) = -m**2 + 3*m - 2. What is n(d)? -2 Suppose 2*a - 21 = -2*g + a, 9 = g + a. Suppose 0 = -g*r + 7*r. Let m(j) = j**2 + j - 1. What is m(r)? -1 Let b(l) be the third derivative of -l**5/60 + l**4/12 - 2*l**3/3 - 8*l**2. Calculate b(0). -4 Let t(i) = 5*i**2. Let d(x) = 11. Let c(w) = -w. Suppose 0 = 5*h + o - 2*o + 3, -h + 2*o = -3. Let v(b) = h*c(b) + d(b). Let y be v(-12). Determine t(y). 5 Suppose 3*v - 13 = -4. Let u(b) = -2*b**2 - 2*b**3 + 4*b - b**2 + b**2 + 5*b**2. Determine u(v). -15 Let q(c) = -5*c**2 + 11*c + 3. Let s(x) = x**2 - 3*x - 1. Let d = 15 - 15. Let w be (-3 - d)/1*-3. Let a(k) = w*s(k) + 2*q(k). Give a(-3). 3 Let s(m) be the third derivative of m**5/60 + 5*m**4/24 + 2*m**3/3 - 1571*m**2. Suppose -4*a - 27 = 3*i + 12, 5*a + 3*i + 51 = 0. Let g = a + 6. Give s(g). 10 Suppose -5*q = -2*d - 17 + 7, 3*q - 25 = 5*d. Let c(u) = u**2 + 5 + 11 - 11 + u. Give c(q). 5 Let c(v) = -3*v + 9 + 8 + v**2 - 29 + 8. Calculate c(5). 6 Let n(d) = 3*d - d - 2*d + 3*d + 32 - 5*d. What is n(19)? -6 Let x(r) = r + 22. Suppose n = c + 27, 5*n = -0*n. Let p be x(c). Let w(z) = z + 1. Determine w(p). -4 Let a(p) = -2*p + 8. Let v = -246 + 257. Determine a(v). -14 Suppose -3*j = -5*o + 7, 7*o - 5*j - 22 = 9*o. Let x(a) = -6*a + 7. Let s(k) = 3*k - 3. Let d(n) = -9*s(n) - 4*x(n). Calculate d(o). 2 Suppose -3*z - 3*c = -9, -3*z + 3*c = -34 + 13. Suppose 0*g + 65 = 5*x - 5*g, x + z*g = -11. Let r = x - 7. Let v(w) = -2*w**2 + 2*w. Calculate v(r). -4 Suppose 5*u + 4*h = 10 - 6, -4*u = 3*h - 4. Let y(i) = -8*i + 38. Let w be y(u). Let c(z) = z**3 - 7*z**2 + 6*z + 4. Calculate c(w). 4 Suppose 50*d - 41*d - 36 = 0. Let c(m) = 5*m + m**2 - 2*m**2 - 4*m. Let l(k) = -7*k**2 + 10*k + 5. Let y(s) = 6*c(s) - l(s). Calculate y(d). -5 Suppose -2*o - 5*v + 9 + 5 = 0, -3*v = 5*o - 16. Suppose 31*w - 28*w - 21 = 0. Suppose -o*x - 5*u = w, 0*u + u = -5*x - 29. Let b(c) = c + 6. Give b(x). 0 Let d = 72 - 112. Let o be (-10)/d + (-11)/(-4). Let r(x) = 3*x**2 + 10*x + 1. Let k(u) = -4*u**2 - 11*u - 2. Let y(j) = 4*k(j) + 5*r(j). What is y(o)? 6 Suppose -10*q - 100 = 420. Let c = -46 - q. Let k(r) be the third derivative of -r**6/120 + r**5/10 - r**4/12 + 3*r**3/2 + r**2. What is k(c)? -3 Let y(p) be the first derivative of p**3/3 + 3*p**2/2 + p - 66. Calculate y(-3). 1 Let h(r) = -10 + 20*r - 2*r**3 + r**2 + r**2 + 8 + r**3 - 18*r. What is h(-2)? 10 Let h(u) = 4*u + 16. Let a(m) = -5*m + 35. Let j(l) = l - 12. Let i(k) = -2*a(k) - 7*j(k). Let b(c) = 5*h(c) - 6*i(c). Determine b(5). 6 Let v(u) = 42 + 41 + 38 - 118 - u. Calculate v(6). -3 Let r(c) be the third derivative of -c**6/240 - c**5/30 + 5*c**4/24 - 30*c**2 - 1. Let y(a) be the second derivative of r(a). Calculate y(4). -16 Let w(j) = -3*j**3 + 57*j**2 + 3*j - 63. Let x be w(19). Let g(a) = a**3 + 7*a**2 + 9*a + 8. Determine g(x). -10 Let a(j) = -j - 1. Let h(p) = 4 + 2*p - 4 + 3 - 5. Let l(d) = -a(d) + h(d). Give l(-4). -13 Let i(g) = 32*g**2 + 12*g - 42. Let q(r) = -13*r**2 - 5*r + 17. Let t(p) = -5*i(p) - 12*q(p). What is t(3)? -30 Let l(m) = 2 - 2*m + 8 + m. Let y(r) = r**2 + 65*r + 906. Let s be y(-45). Determine l(s). 4 Let k(u) = -5*u**2 - 5*u - 9. Let i(d) = -4*d**2 - 4*d - 8. Let m(s) = -6*i(s) + 5*k(s). Suppose -6*c - 22*c = 63*c + 63*c. Calculate m(c). 3 Let b(g) be the second derivative of 0 - 1/6*g**4 - 1/20*g**5 + 2*g**2 + 5/6*g**3 - 13*g. What is b(-3)? -2 Let z be (1/(-3))/((-15)/225). Suppose -z*g + 40 + 5 = 0. Let j(o) be the second derivative of -o**3/3 + 6*o**2 - o. Give j(g). -6 Let s(k) = -3*k**2 + 1275*k - 2 - 639*k - 639*k. Calculate s(-2). -8 Let w(z) = -z + 4. Let i be 90/9 + (-3 - 1). Let c be 24/(-16)*(-16)/i. What is w(c)? 0 Let t(a) be the second derivative of -a**4/6 - a**3/3 + 7*a**2/2 - 178*a. Give t(2). -5 Let z(f) = 3*f**2 + 12*f**2 + 5*f**2 + 6*f + 68 - 21*f**2. What is z(-6)? -4 Let j(f) = -f**3 - 3*f**2 + 6*f - 6. Let l = 50 + -34. Let m be (-55)/20*(-8)/2. Let v = m - l. Give j(v). 14 Let g(o) = -1 - 2*o**2 + 4*o**2 - 3 + 2*o**2 + 18*o. Let v be g(-5). Let i(n) = -n**2 + 8*n - 8. Calculate i(v). 4 Let t(j) = -13*j**2 - 13*j - 1. Let u(p) = 7*p**2 + 7*p + 1. Let q(f) = 6*t(f) + 11*u(f). Let x be 2886/(-740) - 2/20. Determine q(x). -7 Let k(p) be the third derivative of p**4/2 + p**3/2 - 127*p**2. Give k(-2). -21 Let r = -4 - -2. Let i(q) be the second derivative of 3/2*q**2 + 1/2*q**3 + 1/6*q**4 - 6*q + 0 + 1/20*q**5. What is i(r)? -3 Let i(g) = g**3 + 3*g**2 + g - 4. Let n
{ "pile_set_name": "DM Mathematics" }
qrt(304) - sqrt(304)) + sqrt(304))**2). -30403 - 4*sqrt(19)/5 Simplify ((-2*(sqrt(288) + -2) + 0 + sqrt(288) + 2)*-1)**2 - -1*(2 + (-1*sqrt(288)*3 - sqrt(288))**2). -144*sqrt(2) + 4934 Simplify ((6*(-1*sqrt(750)*1 + sqrt(750)))/(-2*sqrt(810)*5 + -3*sqrt(810)*-2))**2. 0 Simplify sqrt(300)*3 + -2 - (sqrt(192)*2 + 1 + sqrt(3)*2). -3 + 12*sqrt(3) Simplify 3*((sqrt(7) + 1*sqrt(7))*5 + -3 + sqrt(112))**2 + (-3*(1*sqrt(84) - sqrt(84)))/((sqrt(120) - (sqrt(120) - sqrt(120)*-2))/sqrt(10)) + 0. -252*sqrt(7) + 4143 Simplify 1 + ((3*sqrt(336)*-3)/sqrt(7) + 4 + 2 + sqrt(1200) + 2)**2. -256*sqrt(3) + 833 Simplify (5*(5*sqrt(72))**2 + -2 + (4*sqrt(72)*-5)**2 + -5)*1. 37793 Simplify (sqrt(224) + sqrt(224)*-3 + (sqrt(4536)*-3 - sqrt(4536)))/(1*sqrt(8)*-3 - sqrt(72)/sqrt(81)). 12*sqrt(7) Simplify (6*(-4*(sqrt(143) + (sqrt(143)*2 - sqrt(143)) + sqrt(143)) - -3*sqrt(143)*5))/(-3*(sqrt(275) + sqrt(275)*-6)*5). 6*sqrt(13)/125 Simplify -5 + (-1 + (sqrt(66)*1*2)/sqrt(6) - (4 + 3*sqrt(22)/sqrt(2) + -2)). -8 - sqrt(11) Simplify -4*(1*5*(sqrt(3) + -2 + sqrt(3)) + 4 + (2*sqrt(432) - sqrt(3)) + 0)**2. -13212 + 1584*sqrt(3) Simplify -1 + ((-6*sqrt(50)*1)/(sqrt(10) + 6*sqrt(90) + sqrt(10)) - (sqrt(150)/(sqrt(25)/sqrt(5)))/(sqrt(54)*-5)). -1 - 7*sqrt(5)/30 Simplify 5 + 0 + (sqrt(567) + -1)**2 + -4*sqrt(567) + -5 + 1 + 5. -54*sqrt(7) + 574 Simplify (((1*sqrt(136) - sqrt(136)) + sqrt(136))*-5 - sqrt(136)*2*-1)/(4*-2*sqrt(512)). 3*sqrt(17)/64 Simplify (1 + -5*(2*sqrt(200) + -4 + sqrt(10)/sqrt(5))*6*-4)**2. -2414160*sqrt(2) + 12930241 Simplify 6*(sqrt(13) + (sqrt(13) + 1)*5 + 5) - (-1*2*sqrt(104) + sqrt(104))/(sqrt(72)*5). 60 + 541*sqrt(13)/15 Simplify (1*sqrt(133)*-6 + sqrt(133)*-2*-6)/(-3*sqrt(14)/sqrt(2) - (((sqrt(1008) - sqrt(1008)*-4) + sqrt(1008) - sqrt(1008)) + sqrt(1008))). -2*sqrt(19)/25 Simplify (-3*(sqrt(136) - (sqrt(136) - -3*sqrt(136))) - 6*sqrt(136)*2)/(sqrt(80)/sqrt(360) + (sqrt(64) - sqrt(64)*-2)/sqrt(8))*-2. 36*sqrt(17)/19 Simplify ((sqrt(57) - -3*sqrt(57))*-6 + -6*sqrt(912))/(6*(sqrt(75) + 2*sqrt(75))*1). -8*sqrt(19)/15 Simplify -2*((-4 + sqrt(833)*4*5 - (0 + (sqrt(833) - -2*sqrt(833)) - (sqrt(833) + (sqrt(833) + -2)*1)))*1)**2. -601498 + 3192*sqrt(17) Simplify -2 + (3 + 4*6*3*sqrt(176) + 4)**2 + -1. 4032*sqrt(11) + 912430 Simplify 5 + -1 + (1*sqrt(35)/sqrt(5)*5)**2 + ((sqrt(847) + -1)*5 + (sqrt(847)*-2 + sqrt(847) + -1 - sqrt(847)))**2. -396*sqrt(7) + 7838 Simplify 1 + (-4 + 1*(2 + (2*sqrt(153)*-6 - (sqrt(153) - (sqrt(153) - (2 + sqrt(153) + sqrt(153)*-2)))))*-1)**2. -264*sqrt(17) + 18530 Simplify (-4*-3*((sqrt(156) + -5*-1*sqrt(156))*2)/(sqrt(12) - (sqrt(12) - (sqrt(588)*-2 - sqrt(588) - sqrt(588))) - sqrt(588)*1))**2. 269568/1225 Simplify -3*(sqrt(117) + 1 + sqrt(117)/(sqrt(27)/sqrt(3)))**2 + ((sqrt(13) + -1)*-4 - (3 + sqrt(13)*1))*-2. -629 - 14*sqrt(13) Simplify ((-2 + (sqrt(1728) - ((-4*sqrt(1728) - sqrt(1728) - sqrt(1728)) + -2)))*2 + 0 + 1)**2. 672*sqrt(3) + 338689 Simplify (5 + sqrt(76) + 1 + sqrt(76) + sqrt(76) + 1 + 1 + 1 + 1*(-5*-1*sqrt(76) + ((sqrt(76) + 2)*-3 - sqrt(76)) + sqrt(76)))**2. 60*sqrt(19) + 1909 Simplify (-4*sqrt(3402)*3)/(-3*(sqrt(96) - 5*sqrt(96))) + -4. -9*sqrt(7)/4 - 4 Simplify ((-3*((sqrt(119) - (sqrt(119) - -2*sqrt(119)))*-3 + 1*sqrt(119)*5))/(sqrt(77)/(sqrt(55)/sqrt(5)) - (sqrt(21)/sqrt(3)*5 + sqrt(7))))**2. 18513/25 Simplify -4*-5*-6*-6*(4 + -2 + 2*sqrt(891))**2*1. 51840*sqrt(11) + 2568960 Simplify (0 + 4 + (sqrt(63) - sqrt(63)*1) - (((1*sqrt(112) - sqrt(112) - sqrt(112) - sqrt(112)) + 4 - sqrt(112)) + 5))**2. -120*sqrt(7) + 1033 Simplify 4 + ((sqrt(539) - -1*sqrt(539) - 5*2*sqrt(11)) + (2*-2*sqrt(66))/(-2*sqrt(24) - sqrt(6)))**2. 6436/25 Simplify -1 + 3*(1*(4 + sqrt(539) + -4 + (-3 + sqrt(539) + -4 - sqrt(539))))**2. -294*sqrt(11) + 1763 Simplify 1 + -4*(sqrt(396)*-1*-2 - (sqrt(396) - sqrt(396)*-1*1))**2*-1. 1 Simplify (((sqrt(800) - (-1*sqrt(800) - sqrt(800))) + sqrt(800))*5*-2)/(-5*(sqrt(1210) + (sqrt(1210) + (1*sqrt(1210) - sqrt(1210)) - sqrt(1210))*-5)). 32*sqrt(5)/11 Simplify 3*(4*(4 + sqrt(72)*-3*-1 + 5 + -2*sqrt(72) + 5))**2. 8064*sqrt(2) + 12864 Simplify ((sqrt(567)*-4*-3 + sqrt(567) - (3 + -2*sqrt(567))) + 0)**2 + -4. -810*sqrt(7) + 127580 Simplify (((sqrt(2205) + 2*sqrt(2205) + sqrt(2205))*6*-1)/(sqrt(9) - (-2*sqrt(900) - sqrt(900)) - 5*sqrt(27)/sqrt(3)))**2. 35280/169 Simplify (5 + (3*(sqrt(91) + (-2*sqrt(91) - sqrt(91) - sqrt(91) - sqrt(91)))*2)/(sqrt(336)/sqrt(108)) + 4)**2. -648*sqrt(13) + 16929 Simplify ((sqrt(104) + (sqrt(104) - 3*-2*sqrt(104)) - (sqrt(104) - sqrt(104)*-2)*2)/(sqrt(88)/(sqrt(66)/sqrt(726))))**2*1. 52/121 Simplify ((sqrt(42) + sqrt(42) + (sqrt(420) - sqrt(420)*-2 - sqrt(420))/sqrt(10))/(-1*sqrt(567) - sqrt(7)))/(sqrt(1728) - -5*sqrt(1728)*1)*-1. sqrt(2)/360 Simplify -4 + (3*sqrt(1008) + sqrt(63))/((1*sqrt(90))/sqrt(10)) + 1 + -1. -4 + 13*sqrt(7) Simplify (2*1*(-1*sqrt(162)*-2 + sqrt(162) + 5 + (sqrt(22) - (sqrt(22) - sqrt(198)*2))/sqrt(396)))**2. 1120*sqrt(2) + 6372 Simplify (-6*sqrt(143)*-2 + sqrt(143) - ((-2*sqrt(143) - sqrt(143)) + sqrt(143) - sqrt(143))*-1)/(sqrt(55)/(sqrt(25)/sqrt(45))). 10*sqrt(13)/3 Simplify (sqrt(588)*-1 - (sqrt(132)*2)/sqrt(11))/(sqrt(60)/(sqrt(10) - (sqrt(30)*2)/sqrt(3))) + -2. -2 + 9*sqrt(2) Simplify (((sqrt(7) - sqrt(7)*-4) + 2)**2 - sqrt(49)/(sqrt(7)*-2)) + 1 + (1*sqrt(847) + sqrt(7) - (sqrt(7) - sqrt(7)*1*-4)). 55*sqrt(7)/2 + 180 Simplify ((-1*sqrt(220) + sqrt(220) - sqrt(220))*-5*6)/((sqrt(350)/(sqrt(30)/sqrt(3)))/(sqrt(28)*-1)). -120*sqrt(11) Simplify ((6*(sqrt(18)*4 - sqrt(18)) + sqrt(180)/(sqrt(10)*3))/(-4*(sqrt(5184)*-3 - sqrt(5184))))**2. 3025/663552 Simplify -5*((-1 + (2 + sqrt(1900) + sqrt(1900))*5)**2 + (-6*(sqrt(95) + (sqrt(95) - 2*sqrt(95))))/((sqrt(120)/sqrt(4))/sqrt(6))). -950405 - 9000*sqrt(19) Simplify (-3 + (-5*-5*sqrt(192)*1)/(sqrt(4)*-2*-1*6))**2*3. -150*sqrt(3) + 652 Simplify (1*(sqrt(128) + 2)*5 + (sqrt(128) + 1 - sqrt(128) - sqrt(128))*6 + -2*(1 + sqrt(128)))**2*-6. -8088 + 4032*sqrt(2) Simplify (sqrt(24) + 4*sqrt(96)/sqrt(4))/((sqrt(40) + sqrt(40)*2)/sqrt(5)) - (-5 + ((sqrt(3) - sqrt(27)/sqrt(441))*-5)**2). -2455/49 + 5*sqrt(3)/3 Simplify ((sqrt(108) + sqrt(108) + (sqrt(108)*1 - sqrt(108)) - sqrt(108) - (-2*sqrt(243))/sqrt(9))*4)/(2*sqrt(576)*-2*2). -sqrt(3)/4 Simplify (3*sqrt(1377)*4 - sqrt(1377))**2*-2 - (-1*sqrt(119)*-4)/(sqrt(315)/sqrt(5)). -333234 - 4*sqrt(17)/3 Simplify (-2*(sqrt(114) - (-1*sqrt(114) - sqrt(114))) + sqrt(114) + -4*(sqrt(114)*1 - sqrt(114) - sqrt(114)))/(6*-2*sqrt(384)*1) + 1. sqrt(19)/96 + 1 Simplify (-4*(sqrt(2430) + sqrt(2430)*-1*-4))/(-4*(-4*sqrt(40)/sqrt(4) - sqrt(10))*1). -9*sqrt(3) Simplify (5*4*sqrt(560))/(sqrt(50)/(sqrt(10) - (sqrt(10) - (sqrt(90) + 3*sqrt(90)))))*-1. -960*sqrt(7) Simplify sqrt(3) + 1 + 5 + -5 + -1 + (sqrt(3267)*2)/(sqrt(441) - (sqrt(441) + (sqrt(441)*1 - sqrt(441) - sqrt(441)))). 29*sqrt(3)/7 Simplify -5 + (3 + (-4 + sqrt(720)*-2 - sqrt(720))**2 + -3)*6*4. 6912*sqrt(5) + 155899 Simplify (-1*sqrt(70)/sqrt(5) - (-2*sqrt(2016) - sqrt(2016)))/((sqrt(12)/(sqrt(9)/sqrt(3)))/(sqrt(2) - (sqrt(50)*-6 + sqrt(2)))). 1050*sqrt(7) Simplify ((sqrt(720) + 1)*-3 + sqrt(720)*1 + 3 + 3*(-1*sqrt(720)*-3 - (-3 + sqrt(720) + (sqrt(720) - (sqrt(720) + 0)))))**2. 864*sqrt(5) + 11601 Simplify 2 + ((sqrt(24)/(sqrt(16)/sqrt(2)) - -2*sqrt(12)) + (sqrt(24) - (sqrt(96)*-1)/sqrt(4))/((sqrt(160)/sqrt(4))/sqrt(5)))**2*-5. -733 Simplify 0 + sqrt(112) + (-5 + sqrt(112))*-6 + (2*sqrt(112) + 5 + 1*sqrt(112) + 3)**2. 172*sqrt(7) + 1102 Simplify (sqrt(126)/((sqrt(264)/sqrt(11))/sqrt(4)))/(sqrt(75)*-2 + sqrt(75) - (sqrt(3) + sqrt(675) - sqrt(3))). -sqrt(7)/20 Simplify -5 + (3 + (5 + 2*sqrt(1584) + 2)**2*4)*2. 2688*sqrt(11) + 51081 Simplify -3*(6*(1*sqrt(190) - sqrt(190)) + sqrt(190) - sqrt(190)*-1*2)/(6*sqrt(250)*1*6). -sqrt(19)/20 Simplify (-3 + (sqrt(1575) + (-6*(sqrt(1575)*3 + sqrt(1575)) - sqrt(1575)))/(-5*sqrt(1296)*2))*2. -6 + 2*sqrt(7) Simplify 3*((sqrt(70) + 3*sqrt(70))*1 + sqrt(70)*3*-3)/(((-1*sqrt(440))/sqrt(11))/(sqrt(16)*-2)). -60*sqrt(7) Simplify ((2*sqrt(5))**2*4 - sqrt(60)/sqrt(108)) + ((2*sqrt(250) + sqrt(250))/sqrt(10))/(1*sqrt(80)) + 5. 5*sqrt(5)/12 + 85 Simplify ((2*sqrt(15)*6 + (-1*sqrt(150) - sqrt(150))/sqrt(10))*1)/(((sqrt(405) + (sqrt(405) - sqrt(405)*-3))*-3 + sqrt(405) + sqrt(405))*2). -5*sqrt(3)/117 Simpl
{ "pile_set_name": "DM Mathematics" }
+ 13*s**2 + s + 3. Let h be p(-12). Calculate the least common multiple of 4/(-6)*h/(-5) and 6. 18 Let v = 19 + -2. Suppose -5*a + v + 23 = 0. Let o(m) = m - 4. What is the lowest common multiple of o(a) and 11? 44 Let q be -6*1*(-4)/(-6). Let s = -2 - q. Suppose 0 = -5*i + 2*i - s*f + 30, 3*f = 0. Calculate the smallest common multiple of 18 and i. 90 Let w = -11 + 17. Suppose -4*h - 5*n = -54 - w, 3*h - 4*n - 14 = 0. What is the least common multiple of h and 1? 10 Let w = 2/7967 - 501965/175274. Calculate the common denominator of w and -11/694. 7634 Let r(h) = -11*h + 199. What is the least common multiple of 144 and r(17)? 144 Let c = -2834 + 102005/36. Let f = 587 + -6460/11. Find the common denominator of c and f. 396 Let q = -461 + 824. Calculate the lowest common multiple of 21 and q. 2541 Let x = 3037/2 - 1491. What is the common denominator of (1272/336)/((-14)/49) and x? 4 Suppose -5*h + 35 = -5*b, 5*h - 61*b - 41 = -58*b. Calculate the least common multiple of 22 and h. 110 Suppose 3*j - 6*j = -63. Let a = -9 + j. Calculate the smallest common multiple of a and 8. 24 Suppose 3*r = -2*i + 6, 2*i + r - 10 = -r. Suppose 8*t - i*t = -10. Calculate the smallest common multiple of 2 and t. 10 Suppose 10*c = 33 + 267. Calculate the lowest common multiple of c and 60. 60 Suppose 0 = -4*a + 20, -4*t - 9*a + 4*a = -33. Suppose -t*v + 2 = -4. Calculate the smallest common multiple of 1 and v. 3 Let f = 5231/18 - 573/2. Calculate the common denominator of 15/6*54/40 and f. 72 Suppose -4*f + 8*f = 5*b + 18, 5*f + 4*b = 2. Calculate the least common multiple of -1*-1*f/2 and (-1 + 3)/((-8)/(-36)). 9 Calculate the common denominator of -25/24 and (3/(-36))/((-255)/1088). 360 Let w = 2368/3 + -773. What is the common denominator of (129/(-9))/(-1 - -3) and w? 6 Let h(u) = -u**3 + 6*u**2 + 2*u - 13. What is the lowest common multiple of 14 and h(5)? 154 Let k = 9879/1162 - 178/83. Find the common denominator of ((-42)/(-126))/(2/71) and k. 42 Let c(j) = 0 + j**3 - 6*j + 2 + 4*j**2 - 6. Let z(t) = -t**3 + 21*t**2 - 39*t + 20. Calculate the lowest common multiple of c(-5) and z(19). 1 Suppose -75 - 6 = -3*f. Suppose 5*t + 2 = f. Suppose 5*r - 160 = t*j, 3*r + 2*j = 87 + 9. Calculate the lowest common multiple of 4 and r. 32 Let s = -100065/572 - -1944/11. Find the common denominator of s and 67/6. 156 Let u = 29397/7490 + 2/535. Find the common denominator of u and 2/4 + (-100)/42. 42 Let x(b) = -9*b**3 - b**2 + 1. Let a be x(-1). Suppose -a = 2*f - 3*f. Suppose -p - m = 4*m + 17, 4*m + 1 = -5*p. What is the least common multiple of f and p? 9 Let j(u) = -3*u + 30. Let v be j(12). Calculate the common denominator of 17/4 and (-363)/v*(-5)/25. 20 Let q(b) = 8*b + 46. Let i(z) = 2*z**2 + 15*z + 2. Let c be i(-7). Calculate the lowest common multiple of 6 and q(c). 6 Let r = -1007 + 1097. What is the least common multiple of 90 and r? 90 Let r(j) be the first derivative of -j**3/3 - 2*j**2 + 4*j + 3. Let s be r(4). What is the lowest common multiple of 5 + -3 - s/2 and 6? 48 Let p = 2061749/6 + -345068. Let t = p + 5821/4. What is the common denominator of 5/((-1)/(-5)*22) and t? 132 Suppose 12*d - 7*d + 24510 = 0. Let b = -2998 - d. Let z = b - 20994/11. Calculate the common denominator of z and -73/3. 33 Let p = -2851 - -34231/12. Find the common denominator of 79/18 and p. 36 What is the common denominator of -123/140 and (9 - (-5650)/(-420)) + 7? 420 Suppose -11*t + 9*t = -22. Suppose 5*s = -4*o + 395, -9*s + t*s - 171 = o. Calculate the lowest common multiple of 7 and s. 581 Let s = -1916 - -21102/11. Let d = -48 + 51. What is the common denominator of d/(36/8) + (-238)/24 and s? 44 What is the common denominator of (2/64)/(51/(-3196)) and 71/87? 696 Let t = 108/89 - -97697/534. Let j = t - 1706/9. What is the common denominator of ((-15)/80)/(18/(-920)) and j? 36 Let d = -1223 - -12259/10. Find the common denominator of -10/219 and d. 2190 Let i = 2 - -1. What is the lowest common multiple of 36 and (-24)/(-30)*5*(-1 + i)? 72 Let s = 8953/11664 - 28/729. Find the common denominator of 139/24 and s. 48 Let a = 12490 + -299711/24. Find the common denominator of 556/(-60) + 25/(-30) and a. 120 Let k be 52/(-130) - 52458/(-131270). Let x = -1430423/1102668 + k. Calculate the common denominator of -107/10 and x. 420 Let w(p) = -p**2 - 5*p + 11. Let k = -20 - -14. Let c be w(k). Suppose -4*y - 4*x = -2*x - 44, c*x = 3*y - 7. Calculate the lowest common multiple of y and 6. 18 What is the common denominator of ((-2)/(-36))/(87/3973) and 44/7? 378 Suppose -4*o - 28 = 3*g, o = 5*o - 4*g. Let w(d) = -d**2 - 5*d + 2. Calculate the smallest common multiple of w(o) and 40. 120 Suppose -c + 2*c = -2*n - 18, 0 = -3*c - n - 29. Let d be -23 + 4/8*c. Find the common denominator of (61/(-12))/((-36)/d) and -13/20. 80 What is the common denominator of ((-262)/(-36))/(0 - -1) and -2 - ((-132)/16)/(-1)? 36 Let r(v) = -4*v + 1. Let w be r(-5). Calculate the least common multiple of 6/w - 183/(-21) and 46. 414 Suppose -98*k = -106*k + 288. What is the smallest common multiple of 30 and k? 180 Suppose -k + 97 = k - 3*p, 4*p - 20 = 0. What is the least common multiple of 37 and k? 2072 Let n = 554/7 - 4874/63. Find the common denominator of -151/6 and n. 18 Let d be (-3)/1*(-6 - (1 + -6)). Calculate the least common multiple of (-1)/d*-69 - -4 and 3. 27 Let d = -259505 - -201894817/778. What is the common denominator of 1/22 and d? 8558 Let l be ((-5)/((-20)/8))/(-2). Suppose -2*u = -v - 2, -v - 3*v + 12 = -3*u. Calculate the smallest common multiple of v and (-3 + l)*(45/(-12) - -1). 66 Suppose 3*v - 2*y + 10 - 27 = 0, 3*y = v - 8. Suppose -v*d = -5*s - 30, 2*d + 2 = 3*s + 14. Calculate the lowest common multiple of 22 and d. 66 Let w = 132 + -99. Calculate the least common multiple of w and 471. 5181 Let g be 2 + (1 - (-596)/(-192)). Let x = g - -95/16. Calculate the common denominator of x and -1/20. 60 Suppose 4*n - 127 = 65. Suppose 43*r = n*r - 35. Let q(t) = t**3 + 4*t**2 - 2*t - 4. Calculate the lowest common multiple of r and q(-3). 77 Let c = -6136 - 1117. Let t = 3225 - c. Let x = 188743/18 - t. Find the common denominator of -107/18 and x. 18 Let j(g) = -g + 6. Let w(a) = -a**3 - 12*a**2 + 12*a - 15. Let t be w(-13). Calculate the smallest common multiple of 6 and j(t). 24 Suppose 702 = -1653*i + 1662*i. What is the smallest common multiple of i and 52? 156 Let x = -1123 - -6629/6. Let v = 49281037/16 - 3067772. Let b = v - 12288. Find the common denominator of b and x. 48 Suppose 0 = -15*y + y + 224. Calculate the least common multiple of y and 152. 304 Suppose 4*l - 60 = 12. Calculate the smallest common multiple of 45 and l. 90 Calculate the lowest common multiple of (228/7)/4 - 2/14 and (-10)/6*-3 + 3. 8 Let d(x) = x**3 + 4*x**2 - 4*x + 8. Let p be d(-6). Find the common denominator of ((-228)/36)/(p/3) and ((-3)/(-44))/(1/(-54)). 440 What is the least common multiple of 140/15 + -2*(-2)/(-12) and 22? 198 Let z(w) = -w**2 - 6*w + 2. Let d(y) = -y**3 - 9*y**2 - 6. Let v be d(-9). What is the lowest common multiple of 6 and z(v)? 6 Let o = -14697 - -23722. Let g = o + -144461/16. Find the common denominator of (-12)/(-27)*(-219)/8 and g. 48 Let f be ((-2)/(-4))/((-4)/(-128)*4). Suppose f*s - 13 = 67. What is the smallest common multiple of 12 and s? 60 Let i be (-135840)/70 - (-4)/7. Find the common denominator of (-4)/(-21)*i/160 and 109/18. 126 Suppose 480 = 5*w + 7*w. Calculate the smallest common multiple of w and 40. 40 Let u = -4241/603 + -3/134. Calculate the common denominator of u and ((-2)/9)/(8/(-303)). 36 Calculate the common denominator of 71/4 and ((-22)/(-1568))/((-261)/2349). 784 Let o = 345/4 - 2445/28. What is the common denominator of -53/40 and o? 280 Let r(a) = a**2 - 8. Suppose 2*k - k + 86 = 2*b, -96 = -3*b - 4*k. What is the lowest common multiple of b and r(6)? 280 Let h = -6998 + 139857/20. Find the common denominator of -49/10 and h. 20 Let g(i) be the third derivative of i**4/8 - 5*i**3/2 + 7*i**2. What is the least common multiple of 12 and g(9)? 12 What is the lowest common multiple of (10/3*-5)/(12/(-144)) and 8? 200 Suppose -t - 868 = 3*l - 877, 14 = 4*l + 2*t. Let x(w) = 3*w + 8. Let c(y) = -y. Let v(p) = 4*c(p) + x(p).
{ "pile_set_name": "DM Mathematics" }
)/(-15) + -2)) 9 What is the value of 7 - 1023/147 - (-305)/(-1470)? -1/6 What is the value of (-9)/(3285/(-35))*((113/7 - -4) + -20)? 1/73 What is the value of 221/(7735/(-6720))*(-1)/(-3)? -64 What is the value of (-54400)/(-1632) + (-40817)/1225? 1/75 Calculate ((-926)/30558)/((-1)/11)*(1 - -1). 2/3 What is the value of (-1653)/648 - (-99477)/37896? 2/27 What is (-30)/(-4)*(-2)/(-10) - ((-3232704)/5504)/(-339)? -10/43 What is the value of 9/(-30 - (-11172)/364)? 13 What is the value of ((-492)/1968)/(26/48 + 12/(-9))? 6/19 (-155)/(-21) - (111*8/144 - 260/(-312)) 8/21 Evaluate 1088/(-14) + -1 + 2/83 + (-13320)/42994. -79 (26 - 2) + 3/(546/(-4810)) -17/7 What is the value of (-752)/(-48) - (10 + -7 + 14)? -4/3 -82 - 1 - (32 - (-352)/192*-6) -104 Calculate (-1435021)/19061 + 2/7. -75 ((-22)/(-10) - 1)/((-671160)/2816475) - (-36)/(-21) -27/4 What is the value of (2/(-3))/((-1808)/(-339))*(8 - 256)? 31 Evaluate (-16)/(-12) - (10*(-364)/56)/(6/(-4)). -42 Calculate (-328)/(-820) + ((-156)/546 - (-1326)/35). 38 What is (-10)/(((-2)/(-10))/((-38)/855))*(-2622)/12236? -10/21 Calculate (63 + (-590950)/9381)/(4/(-3) + 1). -1/59 What is the value of (-1313)/(-275730)*(2 - 9)? -1/30 What is the value of (-20 + (-302)/(-14))*28/8? 11/2 What is the value of (-912)/(-150) - ((-104)/(-572))/((-475)/(-209))? 6 What is the value of 59/(-295)*(15 - (-200)/(-18))? -7/9 Calculate ((-308)/55)/((-16)/(-328) + 260/3075). -42 ((-102)/(-306))/((-3)/(-108)*474) 2/79 29 - ((-7)/21 - (-1150)/75) 14 (((-193843)/(-6200) - 31) + (-5)/125)*-4 -9/10 What is the value of ((-30)/165)/(-4 - 624/(-143))? -1/2 Evaluate (12/15)/((45968/12580)/169). 37 Calculate (((-5203116)/795)/(-202))/(3/(-10)). -108 What is ((-4)/105)/((-168)/588) - 143/(-165)? 1 3/1 + 46 - (329 + -338) 58 What is ((2 - -8) + (-4216)/408)/((-1)/(-10))? -10/3 23*(-40)/(-2760)*(-888)/16 -37/2 What is the value of 25/15 + (77 - 62472/798)? 8/21 Calculate (-1 - 0)*19 - (413 - (591 + -42)). 117 Evaluate 533/(-13 - (-6 + 7)) + 10/140. -38 What is the value of (36 - (-8320)/(-234))*-2*99? -88 What is (-490)/(21/3) - 14/(8/(-4))? -63 What is the value of (-9*(-221)/(-459)*4 - -18)/((-4)/(-174))? 29 Evaluate ((-18)/15)/((-4037)/(-5505)). -18/11 What is (3/(-135))/((42/70)/(5 - 8))? 1/9 What is the value of (-213 - -196) + 1*5043/297? -2/99 What is the value of -4 + (11 - 2 - (((-66630)/3510 - -1) + 23))? -2/117 (124 + (-231 - -130))/(2/4 - 0/(-2)) 46 Evaluate 192/(-128)*(-8)/(-28). -3/7 What is 37 - 28644/(-1254) - 60? -3/19 What is ((-3)/120)/(1173/14076)? -3/10 Calculate (-1568)/1440 + 0 + (-12)/(-10). 1/9 What is the value of (-2421)/(-405) - 5 - (-176)/(-396)? 8/15 Calculate (-5 + (-95)/20)*(-5 + (-25 - -34)). -39 What is the value of (3 - 10)/((-1 + -1)/(-2)) + (-17500)/(-2492)? 2/89 (59 + -38 + 468/(-21))*49/(-1218) 3/58 6/143*(-67210)/46530 -2/33 Evaluate (720/(-6840))/((-8)/3420*5). 9 Evaluate 48*((320/(-56))/10)/((-7)/(-147)*-9). 64 8*(-273)/(-624)*(-410)/(-140) 41/4 ((-5943)/41601)/(2/(-434)) 31 What is the value of 3/((-168)/(-32)) - (9799/2583 + -3)? -2/9 What is the value of (-4018)/1845 + (-1 + (-2 - -2))*16/72? -12/5 Evaluate ((9 + 0)*(-21)/63)/(-4 + 1) - 6. -5 What is (5712/1190*2/16)/(0 - 3)? -1/5 What is -50 + -56 - (-13980)/130? 20/13 Calculate -2*((-4)/6)/((-2)/(13 - (-3775)/50)). -59 ((-18)/16)/((-117747)/(-401212)) -23/6 What is the value of 81 + ((-7195863)/530)/167? -3/10 Evaluate (-101270)/95760 + (9 - 1136/144). 3/56 What is the value of (639/24)/(15/20) - 15/(-6)? 38 Calculate (-6 - 11) + (-2064)/(-473) - -13. 4/11 Calculate ((-10)/(-105))/(9200/(-4025)). -1/24 Evaluate (-4)/26 - (-82665)/382096. 1/16 What is (17 - 15)*-61*2/4? -61 What is (-2)/(-8) - ((-525)/(-560) + (-7)/(-112))? -3/4 (80/65)/(343/22295) 80 What is the value of (918/(-8415))/((-6)/(-22))? -2/5 What is the value of 1305/35*(-46)/(14628/(-742))? 87 Calculate -280*(1 - 0)*(-2114)/32767 + -18. 2/31 What is the value of (-40)/42*52668/(-6270)? 8 (18/(-11))/(4 - (-1001)/(-242)) 12 What is the value of (-1617)/3773 + (-1044)/308? -42/11 What is the value of ((1/17)/((-140)/(-315)))/(-11 + 525/42)? 3/34 What is the value of 1119/(-3730) + (22041/(-330) - 3/(-33))? -67 What is 1/30*(-345 + 391)*(5 + 40)? 69 ((-69)/18 + 4)/((2043/(-162) - -13)*-3) -1/7 Calculate -4*((-1080)/90 - (1005/84)/(-1)). 1/7 Calculate (400/(-3900)*(-1*24)/(-4))/(-2). 4/13 What is 506/12 + ((-1)/(-2) - 0) + (-31094)/(-93282)? 43 Evaluate -2 + -1 + (-14064)/11720. -21/5 (-11868)/(-10879) + (-122)/11 - 18/2 -19 Evaluate (-914)/(-8) - (26/(-16) + 4220/(-33760)). 116 What is -2 + -1 - (-24)/40 - (84 - (-57891)/(-690))? -5/2 What is the value of (22/132*(-18)/244)/((-342)/(-912))? -2/61 What is the value of (0/((-30)/(-10)))/(-489 - -471)? 0 What is 30/18*15 - (-38640)/(-720)? -86/3 What is (70/50 - -58*10/(-200))*4/38? -3/19 Evaluate (6/(-8))/(3289/(-253)*(-9)/12)*3. -3/13 What is ((4 + 111/(-27))*3)/((-3806)/(-1557))? -3/22 What is the value of 168*(15 - (-59)/(-4)) + 2*(13 + -8)? 52 (6 - 6)*(-25 - 1984/(-80)) 0 Calculate 107/(-21) + (-1)/(303/(-1414)). -3/7 What is (1 - 0) + -10 - (-4)/10*130? 43 What is (5820/480 - 4*3)*(-26 - 32)? -29/4 (-585)/(-13) + 14315/(-315) -4/9 What is the value of 5 + -18 + 10 - (-183)/57? 4/19 -1 - 72/(-66) - 52/(-14)*(-62769)/3234 -72 What is the value of ((-3)/4)/(27/24)*(174 - 153)? -14 What is the value of -3 - -13 - ((-46 - -31) + (-19 - (5 + -5)))? 44 (-3)/(-18)*(-803 - -545) -43 What is ((-56)/(-48))/((-1491)/10650)? -25/3 Evaluate ((-581)/35 - -13)*((-8271)/(-297) + -28). 6/11 What is the value of (26260/60)/101*(-1 + 4)? 13 Evaluate 17802/602 + 4 + -35. -10/7 What is the value of 762/(-135) + 24648/4740? -4/9 What is the value of ((-4)/177)/((-113)/((-29832)/(-176)))? 2/59 Evaluate (-1 - -1*(-27)/(-30))/((-89)/(167765/(-58))). -13/4 What is the value of -31 + (-450)/36 + 43? -1/2 What is (5/21)/((-305)/1098)*33/22? -9/7 What is the value of 2240/(-21)*108/(-192)? 60 (80678/949 - 53) + -32 1/73 Evaluate 8/(144/(-498)) + (-250)/(-375). -27 Calculate 9350/1309*(-140)/(-25) - 4/(-1). 44 Calculate (-225)/315 - (-24054)/(-399). -61 8/2*(-2)/(-32) + (111 - 111) 1/4 (-336)/(-6) + (48/280)/((-147)/(-3430)) 60 Evaluate (776/456288)/((-2889)/960 + 3) - (-14)/63. 2/49 What is (3795/(-184) + 21)*(-13376)/132? -38 4 + (-71)/2*(-2 - -1)*(2 + 0) 75 Calculate (986420/9546)/(3 + (-23)/6). -124 Evaluate 23 - ((-91)/(-39))/(-7 + (-322)/(-45)). 8 (4 - (8/14)/(328/(-28700))) + -12 42 What is (25/(-50) + (-12395)/(-24642))*(-2 + -4)? -2/111 What is the value of (-22240)/58380 - (-6717)/(-63)? -107 What is the value of ((-888)/(-289710))/((-2)/5)? -2/261 What is the value of (35*(130176/(-2100) + 62))/(6/(-70))? -14/3 9/((-1989)/(-936)*-9) -8/17 What is ((-203)/(-435))/(4 + 85/(-30))? 2/5 What is the value of (2/(-1))/(((-390)/(-180))/(-13)) + -22? -10 (19 - (-1963)/(-91))*6/15 - (-38 + 37) -1/35 What is 22 + (-1197)/(252/12) + 27? -8 Calculate (-4)/(-72) - 19/(-45)*21830/(-236). -39 What is -4*80/(-23296)*(-8)/(-10)? 1/91 Calculate -7*((-328)/(-28) - ((-22)/(-1) - 10)). 2 Evaluate 33/(6/2) + (-46176)/(-1092) + -53. 2/7 What is (465/(-10))/(-34 - (-2277)/66)? -93 Evaluate ((-1261)/(-9844) - 1638/12558)*8. -2/107 Calculate 592/16*(-72 + 71). -37 Evaluate (((-41280)/(-2100))/4)/(-5 - 66/(-14)). -86/5 What is the value of -19*(-58 + 99297/1881)? 99 Calculate ((-20250)/113400)/((-20)/864). 54/7 What is (-8)/(152/133*(-189)/1026)? 38 What is (-10*1274/(-9800))/(-13)? -1/10 Evaluate (1*(-56)/42)/((-25)/1125). 60 Calculate 26 - 35/((-15120)/(-10422)). 15/8 Evaluate 4/(-40) + (37008/(-1280))/((-15)/40). 77 Calculate ((-19)/(114/(-30)))/((-16 + 15)/((-18)/2)). 45 What is (-267 + -45)/24 - 262/(-22)? -12/11 Evaluate (54/10)/((5796/80)/69)*(-21)/(-22). 54/11 Evaluate (1464/612196)/((-33)/143). -2/193 Calculate (3400/(-2975))/(19/(-1463)). 88 Evaluate (125/(-43))/(35312/(-1518416)). 125 (7/(455/(-39)))/((-4056)/720 + 2/(-3)) 2/21 (630/40)/(-21)*12/(-15)*130/26 3 What is the value of (120/648)/(-3 - 13/(-6)) - (-122)/63? 12/7 Calculate (-432)/(-18) + -26 - 343/(-185) - 102/1887. -1/5 Evaluate (18 + 1 - 22)*((-3)/(-18) - 95/6). 47 -1236*((-3950)/120 + 1155/35) -103 -50*84/(-140) + 5 + 7/((-21)/(-18)) 41 What is (-24892)/(-18034)*71*12/14? 84 What is (0 - (-24
{ "pile_set_name": "DM Mathematics" }
2)/1260)/((-6)/(-15))? -1/12 What is (-87)/((-56550)/124) + 6/(-26)? -1/25 Evaluate ((5 - (-396)/(-77))*-8)/((-3)/(-21)). 8 What is (58 - (-13860)/(-225))*(-1 - -2)*-5? 18 What is the value of (-42)/12*624/182? -12 Calculate 1/7 - (1020/140)/((-117)/(-6)). -3/13 What is the value of ((-9)/(-6))/((-15)/88) + 34/(-170)? -9 Calculate (6/(-20)*4)/((-9)/(-63)) - -8. -2/5 What is (-53)/13 - 47/(2068/(-176))? -1/13 Evaluate (-168)/(-15)*30/(-8)*(-14)/(-21). -28 What is the value of (-20)/110*891/(-162)? 1 What is the value of 8 + ((-4494)/224 - 3/(-48))? -12 23 - (5 - -5) - (8 - 1) 6 19 + -37 + 928/32 11 What is the value of (-3)/2 - (-3)/(-16)*176/(-24)? -1/8 (100/150)/((-15)/(-72)) 16/5 What is -7 + 416/60 + (-8)/3480? -2/29 What is 2/(-1)*(-22 - (-1025)/50)? 3 Calculate (-52)/(-56) - (-119)/(-17)*(-8)/(-56). -1/14 Evaluate 100/(-350) + (8/9)/(105/(-45)). -2/3 Calculate ((-84)/(-49))/(61/(-7) - -9). 6 ((-2067)/3445)/((-12)/(-35)) -7/4 1184/(-748) - -2 - (-758)/(-4169) 4/17 What is 20*1837/2035 - 18? 2/37 Calculate (-3 + (-65)/39)*12/14. -4 Evaluate (91/(-7))/(19 + -20). 13 Calculate (-38)/(-570) - ((-905)/(-75) - 8). -4 Evaluate ((-1)/(-39))/((-25)/(-1350)*-3). -6/13 What is (-95)/15 + 17780/1680? 17/4 Calculate (-3)/((-132)/8)*9/(54/12). 4/11 Calculate (-4)/3 - 23940/(-19494). -2/19 Evaluate (10/(-3) + 3)/((10/300)/1). -10 What is (4/(-2))/(781/(-55) - -15)? -5/2 853/126 - 7 - 12/(-42) 1/18 Calculate -5*(-19)/((-1615)/(-289)). 17 What is -28*(56/14)/16? -7 What is the value of ((-148)/(-111))/(114/27 + -2 + -2)? 6 What is the value of (-4 - 36/14) + (-148)/(-259)? -6 Evaluate 45/95*18/(-27). -6/19 What is (-2)/12 - 401/802? -2/3 (-9)/(-42) - (-15)/((-1470)/28) -1/14 What is -6 - 1*(2 + 0)*-2? -2 Calculate ((-6)/80)/(1 + -11 + 441/45). 3/8 Calculate (1/(-3))/(268/804). -1 What is ((-4)/(40/(-6)))/(9 - (-891)/(-90))? -2/3 What is the value of 5 - 42/4*156/182? -4 0 + (18/21 - 3599/3717) -1/9 What is (-52)/5265*684/(-152)? 2/45 Calculate 12/(-20) + (-498)/(-830). 0 What is 57/38*24/(-306)? -2/17 (873/(-180) - -6 - 2/5)*-3 -9/4 ((-28989)/90188)/((-18)/16) 2/7 Evaluate 7/1*1/1. 7 Evaluate (270/(-2160))/((-2)/(-16)*-3). 1/3 Evaluate 1 + 11 - 96/16 - (-25)/(-3). -7/3 What is the value of ((-146)/511)/((-133)/(-49))? -2/19 What is the value of 6/(-4)*(161/(-21) - 4/(-12))? 11 Evaluate (-9)/(-63) - 134/134. -6/7 What is (2/108*-15)/((-8)/(-24))? -5/6 Evaluate (-4 - (2 - 7))*(17 - (11 - -4)). 2 What is ((-3)/36)/(((-225)/120)/5)? 2/9 Calculate (-16)/18*((-6630)/(-440) + -15). -2/33 What is the value of ((-175)/435 - 8/(-116))*-60? 20 What is the value of (-8)/(-6)*82305/(-7316)? -15 (-21)/(-4) + 165/132*6/(-30) 5 What is 5355/(-385) + 1/(-33)*3? -14 Evaluate 11/2*(-4620)/1210. -21 -1 + -10 + (17 - (-13 + 29)) -10 Evaluate ((-2)/30*-21)/(1/250*-10). -35 What is (-28)/(-8)*(-9300)/4620 - 7*-1? -1/22 What is the value of (90/405 + 48/(-54))*(-6)/(-76)? -1/19 Evaluate (-12 + 6 - 3) + 1692/189. -1/21 Evaluate 8/1680 + (1 - ((-44)/(-15) - 2)). 1/14 What is 235/376 + (-1353)/(-88)? 16 Evaluate 56/40 + 134/(-10). -12 What is (-114)/(-3)*17/34? 19 What is ((-4)/(-36))/((-31)/93)? -1/3 (884/136)/((-3)/12) -26 What is ((-90)/(-78))/((-705)/(-10998))? 18 What is the value of -2 + ((-4275)/(-1750) - 12/24)? -2/35 Evaluate 75/(-25)*(30/(-9) - -1). 7 ((-180)/3600)/(-1 - 25/(-20)) -1/5 Calculate (192/320)/(-8 + 1190/150). -9 Calculate (-30 + 1334/46)/(1/6). -6 Evaluate -26*(-27)/27 - 36. -10 What is the value of ((-148)/2072)/(4/42)? -3/4 Evaluate (184/(-276))/((-180)/(-81)). -3/10 What is (4*3 - -3)*(-188)/(-282)? 10 Calculate 54/14 + 1 - (-326 + 331). -1/7 Evaluate 4/(-20) - (-13135)/925. 14 (0 - (0 - 2)) + 37/((-1184)/128) -2 Evaluate -4*28/105*25/(-40). 2/3 What is 19 - (-10)/((-750)/1175)? 10/3 Calculate 3/(-4)*2400/108 + (-3)/9. -17 What is 960/(-32) + 45 - (-4 + 0)? 19 What is (4/((-36)/(-39)) - 1)/(2860/1716)? 2 What is the value of ((-180)/3510)/(2/6)? -2/13 Calculate (1 - -2) + (-22806)/(-2896)*(-1)/3. 3/8 456/21 - 10 - (-14)/49 12 What is the value of (-3)/(-6) + (-867)/(-102)? 9 What is the value of (-168)/(-14)*(-14)/(-21)? 8 What is 3*-2*(20 - 32 - -14)? -12 Calculate 1/(60/(-316)) - 39/(-260)*4. -14/3 Calculate (-14 + 30)/(2/(-5)*-25). 8/5 (-3)/(12/5)*14*1148/2009 -10 (108/(-9))/(10 + (0 - 0)) -6/5 What is the value of 6 - ((-84)/(-30) + -2)*(16 - 6)? -2 What is (8 - (-180)/(-28))*7 + -2 + 1? 10 What is the value of (-14)/(-1 - 55) + (19/4 - 2)? 3 What is 3/18*(9/72 + 241/(-8))? -5 What is the value of (1 - 2)/(-12 + (-615)/(-45))? -3/5 (9/69)/(-28 + 106/4) -2/23 Calculate (-6)/21 - (-67)/((-1876)/384). -14 6/30*(2758/238 - 11) 2/17 Calculate (-3)/(-15 + 288/19). -19 Calculate (-1287)/(-135) + (-3)/5 + -9. -1/15 What is the value of ((-180)/(-11))/(-6) + (1 - (-10 - -8))? 3/11 Evaluate 40/128*6*(-96)/(-36). 5 Calculate 374/(-408) + 1/3 + 2/(-3). -5/4 Evaluate (-5324)/66*(-96)/(-352). -22 What is the value of 28/(-20) + (-104)/(-160)? -3/4 What is the value of (974/28 - 370/1295)/(9/6)? 23 What is 4/(-4) + (-543)/(-42) + -12? -1/14 What is (3/6)/((-228)/456)? -1 Evaluate -18 - (14 - (-6651)/2070*-10). 3/23 What is (44 + -37)/(14/(-34))? -17 What is the value of (-8 - (-23)/3)*4/14? -2/21 (-2 + 28/6)/(50*(-52)/11700) -12 What is -4*2*2/8? -2 Calculate 46 - 58 - 114/(-10). -3/5 55/(-2400)*6 - 1/(-5) 1/16 What is (-48)/32*(174/(-9) - -8)? 17 What is (-1998)/(-702) - (-3)/(-1)? -2/13 Calculate -10*(-5)/(-16) + -5 + 8. -1/8 Evaluate ((-1085)/3472)/((-5)/12). 3/4 Calculate -2 + 1*6 + 246 + -251. -1 Calculate (-32)/40 - 234/(-130). 1 Calculate -2 - 546/(-56) - (6 + 0). 7/4 What is -2*(18 - 1816/96)? 11/6 Calculate -22 + (-3)/45 + -6 + 1205/75. -12 What is the value of 42/24 - (2 - 35/20)? 3/2 2/4 + -44 + 43 + 5/(-2) -3 Calculate 4 - 34/(3 + (-35)/(-5)). 3/5 (-258)/(-7052)*-2*(2/3 + 0) -2/41 What is the value of (320/75 + -4)/((-816)/340)? -1/9 What is (1*(-1 - -5))/(-76 - (2 + -4))? -2/37 (-102)/476*(15/90 + 3/(-2)) 2/7 What is (-9 - 2*-1) + -104 + 102? -9 What is the value of (3*(-4)/(-12))/((-4)/(-8 + -56))? 16 What is the value of (-3744)/(-546) - ((68/14 - 1) + -3)? 6 What is the value of (-22)/30 - ((-544)/(-60) + -9)*-6? -1/3 Calculate (3 + 9/12)*3/((-45)/(-40)). 10 45*(-41 - (-9196)/220) 36 (7 - 4)*408/(-306) -4 What is (-17)/88 - (12 + 1980/(-160))? 2/11 Evaluate 36/16 - (2/1)/(144/18). 2 ((-11742)/(-60))/103 - ((-9)/(-2) + -1) -8/5 Calculate ((-8)/4*1)/((-66)/396). 12 What is the value of 9 - (10 + 36/4)? -10 Evaluate 90/(-11) + (-12375)/15125. -9 Calculate ((-50)/15)/(8/15) - -9. 11/4 What is the value of 741/133 + (3 - (-100)/(-28))? 5 Calculate ((48/(-864))/((-2)/30))/((-30)/(-16)). 4/9 What is -94*33/286 + 2*(-4)/52? -11 What is the value of (-2)/(-2*(-6)/(-30) + (-84)/(-135))? -9 What is (-39)/338*(3 - 2)*-2? 3/13 2/25 - 6912/2400 -14/5 2*15/(120/(-76)) -19 ((-77)/22)/((-2)/12) 21 ((-942)/1099)/((243/168)/(3/4)) -4/9 What is the value of (-6 - 6)*(15 - (-112)/(-8))? -12 What is 8/76*21/(-42)? -1/19 Calculate (-5244)/(-207)*(-12)/(-19). 16 What is the value of -5 + (3605/105 - 28)? 4/3 What is ((-5432)/216 - -25)/((4 - 2)*1)? -2/27 Evaluate (-6)/42*-14 + 77/(-35). -1/5 What is ((-2)/(-20) - 18772/(-2280)) + -9? -2/3 Calculate (-6 - 1070/(-175))/((-8)/(-120)). 12/7 What is the value of 11/6*74/814? 1/6 Calculate (-132)/(-15) + 900/(-1125) + 63/(-8). 1/8 What is the value of 5 + 14 + 430/(-20)? -5/2 Calculate 8328/11451 + (-336)/(-22). 16 Calculate (-19)/((-209)/(-44)) + -1*(5 - 3). -6 What is the value of (18 + (-1820)/100)*(-10)/14? 1/7 What is the value of (-4)/(-21) - (-32)/(-240)? 2/35 Evaluate (7/3)/((-56)/(-144))*8/180. 4/15 What is the value of 640/1920*(-84 + 0/(-1))? -28 What is the value of (20 - 80/(-25)) + -24? -4/5 What is the value of (-9)/105 - (-36)/45? 5/7 Calculate (-38)/7 - (196 - 201). -3/7 Calculate -21 + (72998/1258 - 37). 1/37 Evaluate (47 + -39)*(2 - (-12)/(-8)). 4 Evaluate (4/(-5))/(12012/1430) + 110/714. 1/17 Evaluate (((-21)/(-5))/((-32)/10))/((-540)/(-720)). -7/4 Calculate 4 - ((-9)/(-12))/(4/(56/21)). 7/2 Calculate 719/(-33793)*(-1 - 1). 2/47 Evaluate (31 + 2)*(-46340)/(-54615). 28 What is the value of (-1 - 13/(-5))/(-37 + 38 + 1)? 4/5 Calculate (-82)/(-123)*9/(-78) - 288/(-26). 11 What is the value of 3/((162/(-33))/(-
{ "pile_set_name": "DM Mathematics" }