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minutes are there in 7/4 of a day? 2520 What is eleven halves of a litre in millilitres? 5500 How many months are there in eight fifteenths of a century? 640 How many minutes are there in eighteen fifths of a day? 5184 What is 15/4 of a litre in millilitres? 3750 What is twenty-one fifths of a millimeter in micrometers? 4200 What is 33.79988ms in microseconds? 33799.88 What is 1/10 of a minute in seconds? 6 What is eight fifteenths of a minute in seconds? 32 How many micrometers are there in 7/4 of a millimeter? 1750 What is 58668.2 micrograms in kilograms? 0.0000586682 How many months are there in 732549.5 millennia? 8790594000 How many micrometers are there in 1/10 of a millimeter? 100 What is 245838.39 months in millennia? 20.4865325 How many months are there in 4/15 of a millennium? 3200 How many seconds are there in 2.50368 hours? 9013.248 How many minutes are there in 173107.2 weeks? 1744920576 What is twenty-five halves of a century in decades? 125 What is 0.5491595 millennia in decades? 54.91595 Convert 0.8306861 meters to kilometers. 0.0008306861 How many millilitres are there in 5/4 of a litre? 1250 How many minutes are there in 0.1347458 days? 194.033952 What is six fifths of a millimeter in micrometers? 1200 What is 477.2463l in millilitres? 477246.3 What is 1/4 of a day in seconds? 21600 What is 3/40 of a minute in milliseconds? 4500 What is 1/20 of a litre in millilitres? 50 What is 3/50 of a gram in milligrams? 60 How many tonnes are there in 8.315817 nanograms? 0.000000000000008315817 How many nanograms are there in 4116.569 kilograms? 4116569000000000 How many centuries are there in 3/5 of a millennium? 6 What is 1/4 of a kilogram in grams? 250 How many millilitres are there in 1/4 of a litre? 250 What is seventy-three quarters of a century in months? 21900 How many millilitres are there in three tenths of a litre? 300 How many nanometers are there in 0.7391643 centimeters? 7391643 What is ninety-one halves of a year in months? 546 What is 1/10 of a microgram in nanograms? 100 What is 303362.1m in millimeters? 303362100 How many millilitres are there in 11/4 of a litre? 2750 How many litres are there in 365.4055ml? 0.3654055 What is 11/2 of a decade in years? 55 What is 1.4993784 months in decades? 0.01249482 How many minutes are there in thirty-four ninths of a week? 38080 What is 0.4753584 millennia in years? 475.3584 How many months are there in 7/3 of a year? 28 What is 2/45 of a day in seconds? 3840 What is 206.4011 kilometers in micrometers? 206401100000 How many milligrams are there in one twentieth of a gram? 50 How many litres are there in 43001.5ml? 43.0015 How many seconds are there in one sixteenth of a day? 5400 How many micrograms are there in 11/2 of a milligram? 5500 How many nanograms are there in 0.9091133 milligrams? 909113.3 How many milligrams are there in five quarters of a gram? 1250 Convert 11.84868 months to years. 0.98739 What is 5.555228 millilitres in litres? 0.005555228 What is 76.93403 litres in millilitres? 76934.03 How many meters are there in 0.7029286um? 0.0000007029286 How many millilitres are there in 5.426515l? 5426.515 What is 6.358756 millilitres in litres? 0.006358756 How many millimeters are there in 0.9943923 meters? 994.3923 What is 13/4 of a milligram in micrograms? 3250 Convert 3.714088ms to nanoseconds. 3714088 What is 2.606008 litres in millilitres? 2606.008 What is 13/4 of a meter in centimeters? 325 How many nanoseconds are there in 6398.216 days? 552805862400000000 What is 214031.94 months in centuries? 178.35995 What is 48/5 of a millisecond in microseconds? 9600 What is 1/5 of a decade in months? 24 Convert 634.541 litres to millilitres. 634541 How many seconds are there in one quarter of a hour? 900 How many nanograms are there in 0.2222876 micrograms? 222.2876 How many kilometers are there in 0.6358907 nanometers? 0.0000000000006358907 How many months are there in 4/3 of a century? 1600 What is eighteen fifths of a microgram in nanograms? 3600 How many months are there in 864133.5 years? 10369602 What is 5/4 of a centimeter in micrometers? 12500 What is 6825.274 decades in years? 68252.74 How many minutes are there in one sixth of a hour? 10 What is 49/4 of a milligram in micrograms? 12250 What is 0.0686695 days in hours? 1.648068 How many grams are there in 557.1097 micrograms? 0.0005571097 Convert 7741.719l to millilitres. 7741719 How many kilograms are there in six fifths of a tonne? 1200 Convert 94244.23 millimeters to meters. 94.24423 What is 3/5 of a millimeter in micrometers? 600 How many weeks are there in 86347.107s? 0.1427696875 What is eighty-five quarters of a meter in centimeters? 2125 How many millilitres are there in 3.613457 litres? 3613.457 What is 7/4 of a second in milliseconds? 1750 How many micrograms are there in thirty-seven fifths of a milligram? 7400 How many kilograms are there in 3/10 of a tonne? 300 How many millilitres are there in 61/4 of a litre? 15250 What is five quarters of a kilometer in meters? 1250 Convert 85.68074km to nanometers. 85680740000000 What is 699698.52us in hours? 0.0001943607 What is 249.6665 millilitres in litres? 0.2496665 What is 3/8 of a day in hours? 9 What is 7.31551ml in litres? 0.00731551 What is one quarter of a litre in millilitres? 250 What is 7/8 of a millennium in years? 875 How many grams are there in 29714.57 kilograms? 29714570 What is 0.8280437mg in micrograms? 828.0437 Convert 56055.3 litres to millilitres. 56055300 Convert 3.383251ug to nanograms. 3383.251 How many micrograms are there in 32249.65g? 32249650000 Convert 3823.056 micrograms to grams. 0.003823056 How many micrograms are there in 18/5 of a milligram? 3600 How many meters are there in six fifths of a kilometer? 1200 How many centuries are there in 93276.05 years? 932.7605 How many nanometers are there in sixty-seven fifths of a micrometer? 13400 How many centuries are there in 667340.1 years? 6673.401 How many millilitres are there in 29/5 of a litre? 5800 How many tonnes are there in 6.475821kg? 0.006475821 What is five quarters of a millennium in months? 15000 How many grams are there in 3/10 of a kilogram? 300 How many tonnes are there in 9115.79mg? 0.00000911579 How many kilograms are there in 8305.02g? 8.30502 How many months are there in 5/8 of a century? 750 Convert 1.731288km to nanometers. 1731288000000 Convert 59260.6 decades to centuries. 5926.06 How many nanoseconds are there in 67.56695 seconds? 67566950000 What is 1426.395 months in years? 118.86625 How many nanograms are there in 91667.17g? 91667170000000 What is 0.0043429 years in millennia? 0.0000043429 What is 0.3378243 litres in millilitres? 337.8243 How many nanograms are there in 54676.8mg? 54676800000 How many hours are there in 88.084404 microseconds? 0.00000002446789 Convert 2.075455 years to months. 24.90546 What is 457.7844 microseconds in seconds? 0.0004577844 How many tonnes are there in 4683.897g? 0.004683897 How many tonnes are there in 0.9335238ng? 0.0000000000000009335238 What is twenty-nine halves of a decade in months? 1740 How many millilitres are there in 22.34606 litres? 22346.06 How many seconds are there in twenty-seven quarters of a minute? 405 Convert 83.03431l to millilitres. 83034.31 Convert 0.93201 months to decades. 0.00776675 What is 45653.85 nanograms in milligrams? 0.04565385 Convert 9.220109t to nanograms. 9220109000000000 How many litres are there in 0.9229785 millilitres? 0.0009229785 How many seconds are there in 1/15 of a day? 5760 What is eleven quarters of a centimeter in micrometers? 27500 How many seconds are there in 1/28 of a week? 21600 How many seconds are there in ten thirds of a hour? 12000 What is seven quarters of a millennium in decades? 175 What is fifty-five quarters of a tonne in kilograms? 13750 What is 4.897446 years in decades? 0.4897446 What is 535102.3 days in minutes? 770547312 How many hours are there in 239.2292 weeks? 40190.5056 How many nanograms are there in 0.4150453kg? 415045300000 What is 87085.42 weeks in nanoseconds? 52669262016000000000 Convert 22259.91 centuries to decades. 222599.1 What is 8.721894 millilitres in litres? 0.008721894 What is 8/25 of a century in years? 32 How many milligrams are there in
{ "pile_set_name": "DM Mathematics" }
l**2 + l. Let j(k) = -g(k) + 3*w(k). Let t be j(6). Solve t*f + 0*f = -5 for f. -1 Let h = 0 + 8. Let p be (-35)/(-10)*h/14. Suppose c = -p*c. Solve 3*y + 3 + c = 0 for y. -1 Suppose -4*x - 2*t = 2*t - 20, -4*x - 3*t = -19. Let p be (0 + 4)*-1 - -6. Suppose -p + 4 = g. Solve 0 = -x*l - 6 + g for l. -1 Suppose -5*k = 35 - 75. Solve 6*s - k = 4*s for s. 4 Suppose r + 0 + 6 = -3*p, 0 = -2*r + p + 2. Let a = -3 + 6. Solve -w - a = -r for w. -3 Let p = -2 + 6. Suppose -2*o + 11 + p = -3*d, 50 = 5*o + 5*d. Solve o = 5*u - 16 for u. 5 Let q be (-4)/6*-3 - -5. Suppose -2*z - 20 = -q*z. Let w be -5 + 11 - (-1 + z). Solve w*x + 5 = -7 for x. -4 Let i = 3 - 1. Let v be (-2 + 5/2)*0. Suppose -i*t - t + 21 = v. Solve -4*k = -t*k - 3 for k. -1 Let c be (4/(-10))/((-4)/20). Solve c*k = 5*k for k. 0 Suppose -5 = 2*s - 3*s + l, -l - 13 = -5*s. Suppose -3 = -s*z + 5. Let p be -3*-1*(0 + 1). Solve z = p*y - y for y. 2 Suppose 4*a - 8 = -4*y, 5*y - 5 = -4*a + 5. Suppose 0 = -4*u - o - 0*o + 14, 0 = 2*u + 3*o - 2. Suppose 0 = -u*n + y*n. Solve -3*t + 0*t - 9 = n for t. -3 Suppose 3*w + 3*h = 0, 4*w + w - 14 = 2*h. Solve -5 = -w*l + 1 for l. 3 Let h(b) = -b**3 + 4*b**2 - 2*b + 2. Let r be h(3). Suppose p = 4*p - 15. Suppose 2*l = -2*s + 2, l - r*l - 5*s + p = 0. Solve 3*n - 16 + 1 = l for n. 5 Suppose 5*s - 3*q + 2*q - 5 = 0, -20 = 3*s + 4*q. Suppose s*n - 5 = n. Let o be ((-2)/n)/(2/60). Solve u - o = -2*u for u. 4 Let u(h) = h**3 - 7*h**2 + 2*h - 4. Let p be u(7). Let f be 15/p*10/3. Solve 3 = -f*b + 8 for b. 1 Let r(k) be the second derivative of k**3/6 + 7*k**2/2 - 5*k. Let q be r(-7). Solve 3*b + 4 + 5 = q for b. -3 Let y = 42 - 33. Solve 3*l + 0*l = y for l. 3 Suppose 4*x = 5*w + 13, 0 = -4*x + 2*w + 6 + 4. Let l be ((-5)/(-2) - x)*8. Let d(s) = s - 2. Let h be d(4). Solve h*n + l = -2 for n. -3 Suppose 5*f + 14 = 4*z, 2 + 6 = 2*z - 3*f. Let k(r) = r**2 - 8*r. Let q be ((-9)/5)/((-2)/10). Let s be k(q). Solve 2*i + s = z for i. -4 Suppose -4*k + 9 = 3*v, 5*k - 5*v + 4*v = 16. Solve -2 = k*p + 1 for p. -1 Let s(q) = -79*q**2 - q. Let x be s(1). Let d be x/15 + (-4)/6. Let c be -3*(-1 + d/9). Solve -c*l = -l for l. 0 Let v be (-189)/(-15) - 3/5. Let a be ((-7)/14)/((-1)/v). Solve a = 2*b - 4*b for b. -3 Suppose -i = 2*b - 4*i - 15, 0 = -2*b + 4*i + 16. Let g be 2/(-3)*3 + b. Solve -g*n = n for n. 0 Suppose -5*x = 2*q + 36, -q - 1 - 26 = 4*x. Let k(l) = -l**2 - 6*l + 5. Let n be k(x). Solve -4 - 21 = n*w for w. -5 Suppose 3*f = -5*h - 25, 3*h + 5 = -5*f + 2*h. Let w(k) = -k**2 + 7*k - 2. Let o be w(6). Suppose 0 = 2*r - 0*p - 5*p, o*r = -3*p. Solve l + 3 + r = f for l. -3 Suppose 4*y - 17 = -3*a, y - 1 = a - y. Suppose 6*w + 4*w + w = 0. Solve a*o - o = w for o. 0 Suppose -4*a - 24 = -4*n, 3 + 3 = -3*n - 3*a. Suppose 5*x + n = -4*v, -5*v + 2*v - 9 = 0. Solve -6 = -0*c + x*c for c. -3 Let a(c) = -c - 2. Let o be a(-3). Let k be o/1 - 2 - -1. Solve k = 3*y - 0*y for y. 0 Suppose -s - 6 = 6. Let x(h) = -h - 6. Let f be x(s). Solve f*t + 10 = t for t. -2 Let r(d) = -d**2 - 3*d - 2. Let k be r(-3). Let y = 6 + k. Let t(v) = v**2 + 2*v - 3. Let z be t(2). Solve -y*w - z + 1 = 0 for w. -1 Let u = -107 + 24. Let j = u - -121. Suppose 4*i + 6 - j = 0. Solve d = -d + i for d. 4 Let w = 42 - 37. Solve w*v - 5 = 20 for v. 5 Let z = -1 - -5. Solve 0 = g - z + 2 for g. 2 Suppose 9*i = 10*i - 10. Solve -k - i = -6*k for k. 2 Suppose -2*r = -2*s - 6, 5*r - 11 = -0*r + s. Solve 20 = -r*w + 7*w for w. 4 Let u(d) = 15 - 2*d + d**2 - 2*d - 11. Let j be u(5). Solve -2*q + j = -1 for q. 5 Suppose 4*d + 5 + 3 = 0. Let m be -2*d/(-12)*-3. Solve k - m = -6 for k. -5 Let m(k) = k**2 + k + 2. Let s be m(0). Let j be 14 + 1 + (2 - s). Let h be j/10*(-8)/(-6). Solve h*o - 6 = -0 for o. 3 Let m(d) be the second derivative of -d**3/6 - 2*d**2 + 3*d. Let y be m(-6). Solve 0 = -y*w + w + 5 for w. 5 Let c be -3 - ((-46)/(-6))/(1/(-3)). Solve 6*a = a + c for a. 4 Suppose r = -3*k - 5, -2*r + k = -3*k - 30. Solve 0 = r*i - 3*i for i. 0 Let w = -10 - -35. Solve -q + 6*q + w = 0 for q. -5 Let w(y) = 2*y**2 + 2*y + 1. Let l be w(-1). Suppose 2*z - 14 = -4*x, 5*x - 2*z - 5 = -l. Let o(d) = d + 15. Let m be o(-8). Solve -m*s = -x*s for s. 0 Let p be -1*3 + (-20)/(-4). Suppose -p*m + m = 0. Suppose m = x + 2*x. Solve g - 6 + 2 = x for g. 4 Suppose 3 = m - 7. Solve -t = 6 - m for t. 4 Suppose -13*z + 16 = -11*z. Solve -z = -3*n + 1 for n. 3 Let a = -6 + 9. Suppose -a*n + 3 + 21 = 0. Suppose -4*m + 0*m = -n. Solve -3 = -5*x + m for x. 1 Suppose 13 + 1 = 2*g. Solve -4*l + 13 + g = 0 for l. 5 Let t be 4/(-10) - 12/(-5). Let r = -2 - -18. Let p = r + -14. Solve -p*g + t = -6 for g. 4 Let b(l) = l - 1. Let o be b(0). Let r be (2/o)/((-4)/6). Suppose 3*p = -r*w + 81, 5*p + 0 = 10. Solve -s - w = -6*s for s. 5 Let l = -24 + 26. Suppose 2*v + 16 = o, o = 6*v - l*v + 26. Solve -2*g + 0*g = o for g. -3 Let u = -15 + 21. Let n be (1 + -1)*u/(-12). Solve n = 7*a - 2*a + 15 for a. -3 Let j(g) be the second derivative of -g**4/4 - 11*g**3/6 - 3*g. Let l(o) = o. Let f(m) = -2*j(m) - 22*l(m). Let k be f(1). Solve 4*c - k = c for c. 2 Suppose -3*x - 20 = -8*x. Let y(p) = p**3 - p**2 + p + 2. Let i be y(0). Solve -3*h - i = -x*h for h. 2 Let g = 2 + 19. Let i = g + -17. Solve i*c - 3*c = 0 for c. 0 Let m be 4/(8/10) + -1. Let i = 8 - m. Suppose i*o - 2 = 18. Solve 2*h + o + 5 = 0 for h. -5 Let l be 16/10*(-10)/(-2). Let h = -4 - -7. Suppose h*n + 2 = 11. Solve -n*y + 20 = -l*y for y. -4 Suppose 3*x - 5 = -5*o, -3*x - 3 - 20 = -2*o. Let q = x + 5. Solve l + 0*l - 4 = q for l. 4 Let k = -2 + 4. Suppose 5*a - k - 13 = 0. Let v be (-13)/(-5) - 12/20. Solve 0 = -v*w - 1 + a for w. 1 Let k(r) = -r + 7. Suppose 5*w = 4*v - 48, -20 = 3*w + 2*v - 0*v. Let t be 1 + 2 + w/(-4). Let h be k(t). Solve h = -0*l + l for l. 2 Let b(t) = t. Let z be b(4). Let m be ((-10)/z)/((-7)/14). Solve -25 = -0*y - m*y for y. 5 Let m(k) be the first derivative of -1/2*k**2 + 5*k + 2. Let c be m(0). Solve 15 = c*y - 0 for y. 3 Let g(m) = 1 - 3 + 3*m + 1 - 4*m. Suppose -5*s = 3*r + 17, -4*s = -4*r - 14 + 2. Let x be g(s). Solve x = 4*h - 3*h - 2 for h. 2 Let o(k) = 11*k**2 + 3*k**3 + 1 - k - 11*k**2. Let w be o(1). Suppose 0 = -8*f + 3*f + w*h + 16, -2*h = -f - 1. Solve 26 - 6 = -f*i for i. -4 Suppose 8 + 0 = 4*s + 4*v, v + 6 = 3*s. Solve -s*a = a + 6 for a. -2 Suppose -5*d + 3 = -2*d. Suppose 7*s - 7 - 7 = 0. Solve n - d = s*n for n. -1 Let m = -6 + 4. Let y be 0 + 2 + m - -2. Solve -4*t = -y*t for t. 0 Let l = 5 - 3. Suppose -l = 5*j + 13. Let i = -1 - j. Solve 0 = -q - i*q for q. 0 Let g(w) = -2*w + 2. Suppose 2*j + 2*t + 4 = 0, 6*t = 3*t + 3. Let l be g(j). Solve -y = -3*y + l for y. 4 Suppose 3*s - 24 = -5*o + 35, 3*s - 3*o - 51 = 0. Solve 2 = 4*f + s for f. -4 Suppose 4 = -8*c + 36. Solve c*t - 13 = -5 for t. 2 Suppose -t = -3*t + 10. Suppose -12 + 2 = -t*f. Suppose 7*x - 60 = f*x. Solve x = -v - 3*v for v. -3 Suppose 13 = 3*r - 2. Suppose -6*b + b = -80. Solve -r*h = -h + b for h. -4 Let o be 9 - 7/((-21)/(-9)). Solve -o*d - 20 = -d for d. -4 Suppose 16 = 4*q + 2*b, -5*q + 0*b = -2*b - 2. Solve -v + 6 = q*v for v. 2 Let q = 12 + -10. Let u be 2/6 - 11/(-3). Let x = u - q. Solve -4 = -x*p - 0 for p. 2 Let l(j) = j + 17. Let v be l(-17). Solve -4*u + v - 4 = 0 for u. -1 Let d(j) = -j**3 - j**2 - 2. Let i be d(-2). Let x = i - 1. Let u = x + -1. Solve q + 3*q = u for q. 0 Suppose 0 = -5*l + 126 + 84. Let k be l/35 - 2/10. Solve -2*d - k = 5 for d. -3 Let l(f) = -f**3 + 9*f**2 - 11*f - 18. Let b be l(7). Solve b = -3*g - 9 for g. -4 Let f(s) = 4*s - 4. Let p(b) = 4*b - 5. Let n(u) = -6*f(u) + 5*p(u). Let v be n(-4). Suppose -2*q = q - v. Solve -q*t - 6 = -2*t for t. -2 Let x be 6/21 - (-33)/7. Let a be 11 + 3 + -1 + -2. Let w = a - 11. Solve 0 = s - x - w for s. 5 Let x = -6 - -6. Let d be 4 + x + 1 + 1. Solve d*n - 5*n = 0 for n. 0 Let u(i) = 21*i**2 - 1. Let d be u(-1). Solve b = -3*b - d for b. -5 Let p be 1/(-2) + 2/(0 - -4). Solve -4*i + 12 + 8 = p for i. 5 Let x be (-56)/(-9) - 14/63. Solve -5*n + x = -3*n for n. 3 Let i(x) = -x**3 + 9*x**2 + x - 4. Let w be i(9). Let g = -1 + w. Solve 0 = 3*v + g + 8 for v. -4 Let f be (-4)/10*(2 + -7). Suppose 0 = -4*q - f*j + 36, -2*q - 4*j = -j - 14. Let o be q/4*(7 + -5). Solve 0 = -2*l + o*l for l.
{ "pile_set_name": "DM Mathematics" }
Put 5, 231, 200 in decreasing order. 231, 200, 5 Sort 4, -2, 39823, -4 in descending order. 39823, 4, -2, -4 Put -8/19, -2, -11, -3 in descending order. -8/19, -2, -3, -11 Sort -19, -7, -10, 0, 1, -1 in decreasing order. 1, 0, -1, -7, -10, -19 Sort 1, -239, 2, 44 in descending order. 44, 2, 1, -239 Put -1454, 5, 1 in increasing order. -1454, 1, 5 Sort -3, 1/29, 4, -7, -481, -0.2 in decreasing order. 4, 1/29, -0.2, -3, -7, -481 Sort -2.3, 45/8, -6, 0.9, 5, -0.2 in descending order. 45/8, 5, 0.9, -0.2, -2.3, -6 Sort 5, 4, 9843 in ascending order. 4, 5, 9843 Sort -0.117, -4/21, -1/14 in decreasing order. -1/14, -0.117, -4/21 Sort -3/4, 133/3, 4 in decreasing order. 133/3, 4, -3/4 Put 16, -9, 1, -891, 5 in ascending order. -891, -9, 1, 5, 16 Put -1.614, 0.3, 0.8, -1/7 in increasing order. -1.614, -1/7, 0.3, 0.8 Put -37, -4, 4, 3 in descending order. 4, 3, -4, -37 Sort 0.5, -0.2, 383, -9/4, 7, 2 in increasing order. -9/4, -0.2, 0.5, 2, 7, 383 Put 0.3, 10, -2, 293 in ascending order. -2, 0.3, 10, 293 Put 1/3, -2/7, -17, 3, -8, -1 in decreasing order. 3, 1/3, -2/7, -1, -8, -17 Sort -9, -0.4, -2, 5/6, 0.017, -0.3. -9, -2, -0.4, -0.3, 0.017, 5/6 Sort 504, -4, 147 in descending order. 504, 147, -4 Sort -5, 78, -314, -0.14, 5 in ascending order. -314, -5, -0.14, 5, 78 Sort -5/3, 0.0209, 0.6, 2/39 in decreasing order. 0.6, 2/39, 0.0209, -5/3 Sort 2, 22, -4, -5, -9, 5 in increasing order. -9, -5, -4, 2, 5, 22 Sort -2, -2/5, -0.02, 3/4, 0, -0.5 in descending order. 3/4, 0, -0.02, -2/5, -0.5, -2 Put 1, -18, -2, -4, -2/487 in ascending order. -18, -4, -2, -2/487, 1 Sort -243, 2, 383 in descending order. 383, 2, -243 Put -5, 91, -2/3, 1/160, 1/5, 5 in ascending order. -5, -2/3, 1/160, 1/5, 5, 91 Sort -2/17, -1/3, 7732 in descending order. 7732, -2/17, -1/3 Put 399/4, 1/3, 5, -1.7, 2/13 in ascending order. -1.7, 2/13, 1/3, 5, 399/4 Sort -15, -0.4, 36/7, 15 in descending order. 15, 36/7, -0.4, -15 Put -1, 3, 0, 1237, -4 in increasing order. -4, -1, 0, 3, 1237 Put -3, -17, 11, 6, 12 in increasing order. -17, -3, 6, 11, 12 Put -58, 1, -6, 3, -39, 2 in descending order. 3, 2, 1, -6, -39, -58 Put 151, -5, 0, 1, 25 in increasing order. -5, 0, 1, 25, 151 Put 4, 46, -9, 21 in decreasing order. 46, 21, 4, -9 Sort 0.05, 0.2, 10442, 4. 0.05, 0.2, 4, 10442 Put -206, 0, -2924 in increasing order. -2924, -206, 0 Sort -5, -4, -14446, 1 in descending order. 1, -4, -5, -14446 Sort 101, 0, -1795 in descending order. 101, 0, -1795 Sort 5, 2695, 1, 4 in increasing order. 1, 4, 5, 2695 Sort 5, -4, -5, -3, 4, -830 in ascending order. -830, -5, -4, -3, 4, 5 Put -3, -498, -2, -74 in increasing order. -498, -74, -3, -2 Put 10, 7, -39, 1, -3, -9 in decreasing order. 10, 7, 1, -3, -9, -39 Sort -3/10, 31, 5, -3 in decreasing order. 31, 5, -3/10, -3 Sort 3/4, 65359, -4/5, -5, -12 in increasing order. -12, -5, -4/5, 3/4, 65359 Put -2653, -18, 0 in decreasing order. 0, -18, -2653 Sort -208, 191, -0.3, 5 in increasing order. -208, -0.3, 5, 191 Put -527, -1, -2, 0, 1, -148 in descending order. 1, 0, -1, -2, -148, -527 Sort -4, -1/8, -66, -9, 5 in descending order. 5, -1/8, -4, -9, -66 Sort 10, 155, 0, 5 in descending order. 155, 10, 5, 0 Put 2, 1, 17, 613 in decreasing order. 613, 17, 2, 1 Put 779, -2, 1, -3 in ascending order. -3, -2, 1, 779 Sort 9, 6, -53, -15, 5. -53, -15, 5, 6, 9 Sort 0.052, -45, 2/11, 5, 1, 3 in descending order. 5, 3, 1, 2/11, 0.052, -45 Sort -25263, -1, 0.1, 0.29 in descending order. 0.29, 0.1, -1, -25263 Sort -98, -4, -5, -2, 0 in ascending order. -98, -5, -4, -2, 0 Put 1/6, 0.1, -11/6, 3, -4, -71 in decreasing order. 3, 1/6, 0.1, -11/6, -4, -71 Put -21, -6, -247 in increasing order. -247, -21, -6 Sort 0.1, 2038/23, -0.3, -1/2 in ascending order. -1/2, -0.3, 0.1, 2038/23 Sort -0.2, 1/8, -1/150426. -0.2, -1/150426, 1/8 Put 3, 4, 2573, 0, -1 in descending order. 2573, 4, 3, 0, -1 Sort -3/5, 0.31, -0.1, 4, -41, -0.2 in decreasing order. 4, 0.31, -0.1, -0.2, -3/5, -41 Put -4, 163, -1001 in increasing order. -1001, -4, 163 Put 3, -2, -79539 in ascending order. -79539, -2, 3 Put -1, -0.2, 5, 4, -39/5 in decreasing order. 5, 4, -0.2, -1, -39/5 Sort -2674400, 2, -4. -2674400, -4, 2 Put -165, 1, -75, 0 in decreasing order. 1, 0, -75, -165 Put -11, -2, 1, -5, 37 in increasing order. -11, -5, -2, 1, 37 Sort 5, 2, -702 in descending order. 5, 2, -702 Sort -260, 7, -42, -1 in ascending order. -260, -42, -1, 7 Sort -4, -48, -2, -11 in increasing order. -48, -11, -4, -2 Sort 0.19, -2, 2/59, 1, -0.7 in ascending order. -2, -0.7, 2/59, 0.19, 1 Put 7, 52, -3, 1, -5 in descending order. 52, 7, 1, -3, -5 Put 2/5, -2/13, -0.5, 0.01, 4 in descending order. 4, 2/5, 0.01, -2/13, -0.5 Sort 4, -144, 3, 0, -6, 18. -144, -6, 0, 3, 4, 18 Sort 11, -4, 193, 0 in descending order. 193, 11, 0, -4 Sort 6, 1, -79, 5, -4. -79, -4, 1, 5, 6 Sort 3/4, -0.3, 0.2, -6, -0.2, 6/11. -6, -0.3, -0.2, 0.2, 6/11, 3/4 Put -7, 10900, -4 in ascending order. -7, -4, 10900 Put 3, -1, 14, -7, -414 in decreasing order. 14, 3, -1, -7, -414 Put -12, 0, -2, 3/10, 0.11 in descending order. 3/10, 0.11, 0, -2, -12 Sort 0, -3, 1282, 6 in descending order. 1282, 6, 0, -3 Sort 5, -2, 0, 279 in decreasing order. 279, 5, 0, -2 Put 5, 4, 2/3, -4, -0.08, 2 in decreasing order. 5, 4, 2, 2/3, -0.08, -4 Sort -14, -2, -2/131, -4, -0.3 in ascending order. -14, -4, -2, -0.3, -2/131 Sort 1, -1, 4, -196, -4. -196, -4, -1, 1, 4 Sort -10, 18, 90, 0, 1 in descending order. 90, 18, 1, 0, -10 Sort 0.092, -776, -0.1. -776, -0.1, 0.092 Put 4, 10, 3, 33, -5, 0 in descending order. 33, 10, 4, 3, 0, -5 Put -5, -7117, 3, -1 in decreasing order. 3, -1, -5, -7117 Sort 32, 2, 643 in descending order. 643, 32, 2 Sort 4, 651, -2, -5, 0 in ascending order. -5, -2, 0, 4, 651 Put 2, 6, -12144 in decreasing order. 6, 2, -12144 Put -1239271, -5, -2, 4 in descending order. 4, -2, -5, -1239271 Sort 4, -1, 0, -4, 631 in ascending order. -4, -1, 0, 4, 631 Sort 101, 5, -4, -2, 1 in decreasing order. 101, 5, 1, -2, -4 Put 1/408, -1, -31/4 in ascending order. -31/4, -1, 1/408 Sort -5, 262, 1, 14. -5, 1, 14, 262 Put -1, 139, -2, 5, -87 in decreasing order. 139, 5, -1, -2, -87 Put 5, 2, 0.4, -5, 1, 2/9 in ascending order. -5, 2/9, 0.4, 1, 2, 5 Sort 14/5, 479.6, 0.1, 2 in descending order. 479.6, 14/5, 2, 0.1 Sort -0.3, -3.9, 26811 in increasing order. -3.9, -0.3, 26811 Sort -11, 16391, 2 in descending order. 16391, 2, -11 Sort 0, -1/4, -0.3, -1, -0.5, -1/46 in ascending order. -1, -0.5, -0.3, -1/4, -1/46, 0 Sort 0, -506, 6 in ascending order. -506, 0, 6 Put 2069, -47, -2, 1/2 in decreasing order. 2069, 1/2, -2, -47 Sort 0.2, 2/7, 1/180, 3, -9 in descending order. 3, 2/7, 0.2, 1/180, -9 Sort 1, -150583, -0.2. -150583, -0.2, 1 Put 711, -1, 1, -214 in decreasing order. 711, 1, -1, -214 Put 10, -2.3, 5/7, -2, 2/13 in ascending order. -2.3, -2, 2/13, 5/7, 10 Put -4, 4, -5, -26, -32 in descending order. 4, -4, -5, -26, -32 Put -36, 3, -1, -0.4, -4/103, 2/11 in descending order. 3, 2/11, -4/103, -0.4, -1, -36 Sort -0.01, -1262/39, 5. -1262/39, -0.01, 5 Put -116, -1, -639 in descending order. -1, -116, -639 Sort 49, 32661, -5 in increasing order. -5, 49, 32661 Sort 20, -5, -3, 3, -8, -2. -8, -5, -3, -2, 3, 20 Put -5, -2, 9, 10, 54 in decreasing order. 54, 10, 9, -2, -5 Put 30, 0.082, 2 in decreasing order. 30, 2, 0.082 Sort -2, 7, -3.5. -3.5, -2, 7 Sort -6/13, -42, -1.28 in ascending order. -42, -1.28, -6/13 Put 2/5, 0.2, 13, 6, -0.2, 0.25 in increasing order. -0.2, 0.2, 0.25, 2/5, 6, 13 Put 1.7, -1/3, 3, 5, -4, 0.22 in decreasing order. 5, 3, 1.7, 0.22, -1/3, -4 Sort 438, -2/11, 2/15, -0.2, -2 in decreasing order. 438, 2/15, -2/11, -0.2, -2 Put 5, -1, 1, -1236, -3 in descending order. 5, 1, -1, -3, -1236 Sort -1, 1, 889, 43 in ascending order. -1, 1, 43, 889 Put 74, 12, 0, 3 in decreasing order. 74, 12, 3, 0 Sort -3, 59, -22 in ascending order. -22, -3, 59 Put -3, 0, -2, 2/17, 16662 in ascending order. -3, -2, 0, 2/17, 16662 Put 774, 1, -806 in decreasing order. 774, 1, -806 Sort 172, 3/5, -0.1, 1.2 in increasing order. -0.1, 3/5, 1.2, 172 Sort -2, -7, -3, 25, 4 in decreasing order. 25, 4, -2, -3, -7 Sort 2, -1, 688, -2. -2, -1, 2, 688 Put 9, 18, 0, -2, 1, -75 in descending order. 18, 9, 1, 0, -2, -75 Sort -56, -61, 0, 8, 3 in increasing order. -61, -56, 0, 3, 8 Sort -8, 0.6
{ "pile_set_name": "DM Mathematics" }
hat is the least common multiple of 360 and 90? 360 What is the least common multiple of 9 and 11? 99 What is the common denominator of 119/48 and -39/712? 4272 What is the common denominator of -17/42 and 169/42? 42 What is the common denominator of -187/30 and 34/15? 30 Calculate the least common multiple of 21 and 21. 21 What is the lowest common multiple of 56 and 232? 1624 What is the smallest common multiple of 18 and 180? 180 Find the common denominator of -93/260 and 59/84. 5460 Calculate the common denominator of 61/74 and -95/14. 518 What is the smallest common multiple of 38 and 8? 152 Calculate the common denominator of 101/132 and -137/36. 396 Calculate the lowest common multiple of 399 and 60. 7980 Find the common denominator of -73/189 and 28/9. 189 What is the smallest common multiple of 145 and 203? 1015 Calculate the smallest common multiple of 92 and 230. 460 Find the common denominator of -38/63 and 13/259. 2331 What is the lowest common multiple of 5 and 180? 180 What is the common denominator of -9/32 and 143/6? 96 What is the common denominator of -79/330 and -131/70? 2310 What is the smallest common multiple of 560 and 4200? 8400 Find the common denominator of 149/18 and -5/57. 342 What is the smallest common multiple of 570 and 3420? 3420 Find the common denominator of 39/7052 and 99/8. 14104 What is the least common multiple of 1530 and 1360? 12240 What is the smallest common multiple of 6 and 11664? 11664 Find the common denominator of 3/28 and -5/14. 28 What is the common denominator of -77/2018 and 65/4? 4036 Calculate the lowest common multiple of 24 and 1578. 6312 Calculate the common denominator of 21/16732 and 67/2. 16732 Find the common denominator of 161/180 and 31/180. 180 What is the least common multiple of 16 and 122? 976 Find the common denominator of 91/176 and 61/264. 528 Calculate the lowest common multiple of 166 and 2. 166 What is the least common multiple of 30 and 290? 870 Calculate the common denominator of 25/1336 and -61/52. 17368 Calculate the least common multiple of 8 and 11. 88 Calculate the common denominator of -40/21 and 41/105. 105 Calculate the smallest common multiple of 1720 and 86. 1720 Calculate the smallest common multiple of 10 and 4250. 4250 Find the common denominator of -97/22 and 105/484. 484 Calculate the common denominator of 75/44 and -145/2316. 25476 Calculate the least common multiple of 1953 and 168. 15624 What is the lowest common multiple of 3 and 173? 519 Calculate the least common multiple of 135 and 795. 7155 What is the common denominator of 41/100 and 93/200? 200 What is the common denominator of 3/5 and 29/728? 3640 Calculate the common denominator of -7/9 and -41/138. 414 What is the lowest common multiple of 45 and 60? 180 What is the lowest common multiple of 90 and 18? 90 What is the common denominator of -105/1586 and -39/4? 3172 What is the smallest common multiple of 4 and 6698? 13396 Calculate the least common multiple of 3 and 1464. 1464 Find the common denominator of -79/72 and 101/756. 1512 Calculate the common denominator of 155/4914 and 75/4. 9828 What is the lowest common multiple of 39 and 57? 741 What is the common denominator of -68/99 and 101/1602? 17622 Calculate the common denominator of -161/330 and 131/440. 1320 What is the lowest common multiple of 34750 and 22? 382250 Find the common denominator of 107/750 and 79/75. 750 Calculate the lowest common multiple of 420 and 165. 4620 Calculate the common denominator of 36/8513 and 37/2. 17026 Calculate the common denominator of -82/21 and 173/210. 210 Calculate the common denominator of -83/861 and 41/6. 1722 What is the lowest common multiple of 40 and 64? 320 What is the common denominator of -163/126 and -43/84? 252 Calculate the common denominator of -49/90 and -29/180. 180 What is the smallest common multiple of 637 and 6? 3822 What is the common denominator of -37/5 and -67/2? 10 What is the smallest common multiple of 112 and 448? 448 Calculate the lowest common multiple of 234 and 27. 702 Calculate the least common multiple of 48 and 8. 48 What is the common denominator of 33/400 and -117/200? 400 What is the smallest common multiple of 80 and 1600? 1600 What is the smallest common multiple of 112 and 144? 1008 What is the common denominator of 93/236 and 28/177? 708 What is the least common multiple of 322 and 6900? 48300 Find the common denominator of 125/12 and -89/810. 1620 Calculate the lowest common multiple of 410 and 328. 1640 What is the lowest common multiple of 168 and 126? 504 Calculate the least common multiple of 24 and 21. 168 Find the common denominator of -38/63 and 59/819. 819 What is the smallest common multiple of 12 and 2? 12 What is the lowest common multiple of 2 and 45? 90 Calculate the smallest common multiple of 24 and 69. 552 Calculate the lowest common multiple of 6 and 1. 6 Find the common denominator of 37/223 and -1/11. 2453 Calculate the smallest common multiple of 4 and 100. 100 Calculate the lowest common multiple of 581 and 5. 2905 Calculate the lowest common multiple of 8 and 488. 488 What is the smallest common multiple of 33 and 9? 99 Calculate the smallest common multiple of 1925 and 1650. 11550 What is the least common multiple of 3462 and 2885? 17310 What is the lowest common multiple of 12 and 24? 24 What is the common denominator of 29/42 and 127/210? 210 Calculate the lowest common multiple of 16 and 6424. 12848 What is the smallest common multiple of 16674 and 35? 83370 Calculate the lowest common multiple of 90 and 180. 180 Calculate the smallest common multiple of 15 and 2481. 12405 What is the lowest common multiple of 1102 and 12? 6612 Calculate the common denominator of -119/6 and -4/307. 1842 Find the common denominator of -37/76 and 42/209. 836 Find the common denominator of 17/3246 and -29/18. 9738 Calculate the lowest common multiple of 196 and 560. 3920 Calculate the common denominator of -73/3264 and 7/24. 3264 What is the lowest common multiple of 32 and 88? 352 Find the common denominator of -23/4 and 65/66. 132 Calculate the smallest common multiple of 1240 and 6. 3720 What is the least common multiple of 24 and 612? 1224 What is the lowest common multiple of 6 and 740? 2220 Find the common denominator of 29/24 and -95/24. 24 Calculate the common denominator of -9/14 and -103/2354. 16478 Find the common denominator of -39/1316 and -121/940. 6580 What is the smallest common multiple of 27 and 144? 432 What is the common denominator of -157/23166 and -31/6? 23166 Find the common denominator of 25/8 and -87/1736. 1736 Find the common denominator of 73/1674 and 1/248. 6696 What is the lowest common multiple of 2 and 1544? 1544 What is the common denominator of 67/2 and -5/2222? 2222 Calculate the lowest common multiple of 366 and 10. 1830 Calculate the lowest common multiple of 12 and 30. 60 What is the least common multiple of 312 and 75? 7800 Find the common denominator of -16/1481 and -29/11. 16291 Find the common denominator of 8 and 38/7789. 7789 What is the common denominator of -13/12 and -109/44? 132 Calculate the lowest common multiple of 10 and 57660. 57660 Calculate the common denominator of 45/728 and -109/210. 10920 Calculate the least common multiple of 644 and 4368. 100464 What is the least common multiple of 48 and 272? 816 What is the common denominator of -55/104 and -1/130? 520 Calculate the smallest common multiple of 18 and 7596. 7596 Calculate the lowest common multiple of 8 and 3746. 14984 Find the common denominator of 19/18 and 25/63. 126 What is the smallest common multiple of 180 and 516? 7740 What is the least common multiple of 64 and 8? 64 What is the least common multiple of 9 and 3? 9 What is the smallest common multiple of 402 and 30? 2010 Calculate the least common multiple of 1143 and 7. 8001 Find the common denominator of -93/32 and 121/160. 160 Calculate the common denominator of -113/48 and -79/1782. 14256 Find the common denominator of -58/21 and -62/1863. 13041 Calculate the least common multiple of 33 and 387. 4257 Calculate the smallest common multiple of 80 and 80. 80 Calculate the lowest common multiple of 66 and 126. 1386 Find the common denominator of -121/2532 and 61/5. 12660 What
{ "pile_set_name": "DM Mathematics" }
- s - 13 = 0, 5*h + 2*s = -m*s - 16 for h. -2 Let n(b) = -2*b + 7. Let h be n(-7). Suppose 0 = -5*v + 2*v + h. Let u(s) = -s + 10. Let i be u(v). Solve i*g = 3*f + 6*g, 0 = f + 5*g for f. 0 Let m = -300 + 303. Solve -o - o = -m*p + 14, -4*p = -o - 12 for o. -4 Suppose 38 = p + 2*u, 2*p - 31 = -5*u + 45. Let f be (-11)/66 + p/12. Solve 0 = -5*m + 2*c - 23, 0 = 4*m + 2*c + f*c - 8 for m. -3 Let g(z) = 4*z**2 + z - 4. Let r be g(-2). Let m = 12 - r. Solve -6*x = -m*o - 3*x - 11, 4*x - 8 = o for o. -4 Suppose p = -4*z + 64, 2*z - 6 - 26 = -2*p. Suppose 5*q + 1 = z. Solve -3*f + q*v = -15, 3*v + 5 = -3*f + 2 for f. 2 Suppose 0 = -22*h + 20 + 90. Let g be 12/(1 - 0/(-3)). Suppose 4 = -2*a + g. Solve -a*b + 0*t + t = h, t - 5 = -b for b. 0 Suppose 3*g = -0*g - 12. Let c(b) = -b**2 - 5*b - 2. Let p be c(g). Let d be p + 4/(7 + -3). Solve -m - 5*w = -0*w, d*w = 4*m + 23 for m. -5 Let j(q) = q - 63. Let z be j(0). Let s = -60 - z. Solve 5*f + s*m - 27 = 0, 0 = 4*f + m - 0*m - 16 for f. 3 Let r be ((-2)/8)/(24/(-384)). Solve 2*o - 1 + 6 = -c, -r*c - 2*o = 14 for c. -3 Suppose -3*c - 3*u + 21 = 0, 5*u = 8*c - 12*c + 33. Solve -g + 5*b = -10, c*b - 2 = -g - b for g. 5 Let p be (-20)/(-22)*11/4*2. Solve -2*a = -3*h - 11, 0 = -p*h - 4*a - 0*a - 33 for h. -5 Let k(l) = l**2 - 4*l + 7. Let v be k(5). Suppose 0 = 5*d - 5*q - 10, -3*q - 5 = -8*q. Solve -2*b - 4*s = -v, b + d*s - 8 = -0 for b. 2 Let m(s) = -s**2 + s + 1. Let b(o) = o**3 - 11*o**2 + 13*o + 11. Let f(j) = b(j) - 4*m(j). Let i be f(5). Solve d = -3*c + 4, 2*d + i*d - 4*c = -16 for d. -2 Suppose -16*n + 9 = -55. Solve 1 = 2*g + 3*g + n*h, -4*h - 1 = 3*g for g. 1 Let a(t) = -3*t**3 - 7*t**2 - 3*t + 2. Let g be a(-2). Solve -g*y - y - 45 = -5*k, -10 = 2*y for k. 4 Let y = -89 - -89. Suppose -4*x + 0*a - 5*a + 48 = 0, y = 5*x + 5*a - 55. Solve p = -d - 3, 3*p = -0*p - 5*d - x for p. -4 Let p = 5 - -1. Suppose p*l = 5*l + 2. Let v = -35 + 37. Solve -g + 6 = -j, -j - l*g + v - 5 = 0 for j. -5 Suppose -3*n - 18 = -a, 13 = -2*a - 3*n + 4. Suppose -2*z = a*z. Let r be z*(4/1)/4. Solve -y + r = -3*b + 9, 4*b - y - 12 = 0 for b. 3 Suppose 3 = 52*b - 49*b. Suppose -p + 4*x = b, -p + 6*p = -2*x + 61. Solve -5*n = -g + p + 15, 3 = 3*g for n. -5 Suppose 0 = 2*i - 2*v - 12, 0*v - 5*v = -3*i + 20. Solve -8 = -2*x + 2*b + 4, -12 = x + i*b for x. 3 Suppose 2*z - 11 = -3. Suppose -4*m + z + 16 = 0. Solve 0 = -4*u + m*c + 10, -4*c + 2 = 3*u - 21 for u. 5 Let y(l) = -16*l**2 - 1. Let f be y(-1). Let o be (-3)/3 + 3 + f. Let r = -11 - o. Solve 5*h + 2*n - 35 = 0, r*h + 3*n - 45 = -2*n for h. 5 Suppose -3*j - g = -17, 214*j = 212*j - 3*g + 16. Solve 4*w - 5*r = 13 + 2, 0 = -j*w + 5*r + 15 for w. 0 Suppose -3*r = -r - 4. Suppose v = r*v + 27. Let m be (-6)/v + 258/54. Solve 4*f + 3*n = 8, -3*f + 1 + 5 = m*n for f. 2 Suppose -4*c + 6 = -2*u, -2 - 11 = -3*u - 5*c. Suppose 0 = -2*r + u + 5. Solve -5*m = -3*h + 19, -r*h + 25 = -4*m + 8 for m. -2 Let t(c) = c**3 - 3*c**2 + 2. Let g be t(3). Suppose -141*f + 134*f = -28. Solve -g*m + f*r = -14, -r + 0*r = -2*m + 5 for m. 1 Let j(b) = -b**2 - 28*b + 134. Let n be j(-32). Solve -4*f + 17 = 3*w, n*f - 5*f - 17 = -5*w for w. 3 Let s be (-5 + 1)/(4 + -6). Let o be (-8)/(-28) - 4/(-42)*-3. Solve -r - 2 = o, -s*r = -m - m - 4 for m. -4 Let m(b) = b - 6 + 1 + 4. Let v be m(5). Solve d + v*w + 17 = 0, -5*d + 2*w + 3 = -0*w for d. -1 Suppose 0*m - m = v, 5*m - 3*v - 32 = 0. Suppose m*p - 4*h = 4, -2*h + 4 + 3 = p. Solve -2 = 5*s + z + 4, -2*s + 1 = -p*z for s. -1 Let x(u) be the first derivative of -u**3/3 + 5*u**2/2 - 4*u - 7. Let g be x(3). Solve -2*i + 14 = b + 3, -2*b - 8 = -g*i for i. 5 Suppose 0 = n + 5, 0*n + 4*n = 5*p - 45. Suppose -q - 2 = 2*h, 6*h - h - q = -p. Let b be -1 + h + 5 - 0. Solve -31 = 2*k - 5*s, b*k + 4 = 5*s - 30 for k. -3 Suppose 0 = -5*i + 2*v + 132, -30*v = 2*i - 27*v - 49. Solve 4*o + 3*u - i = 0, 3*u - 4*u = -2 for o. 5 Let i(w) = -2*w**2 + 9*w + 4. Let z be i(0). Solve 0 = -3*r - z*v, 2*r + 0*r - 5 = -v for r. 4 Suppose 4*a = 3*o - 7, 2*o = a + 3*o - 7. Suppose -2*g - v + 18 = v, 0 = -5*g - a*v + 30. Solve -3*r = -4*y + 12, -4*y + r + 8 + g = 0 for y. 3 Suppose -m - 12 = -7*i + 3*i, -8*i - 5*m - 4 = 0. Solve i*y + 4*r - 10 = -12, 4*r + 8 = 4*y for y. 1 Let w(t) = 3*t - 13. Let i be w(15). Let m = i + -16. Solve -2*f + 4*u + 0*u - m = 0, 12 = 3*f + 3*u for f. 0 Let b be 11 - 3 - 2 - 2. Suppose x = 4*x + 4*j - 7, -2*x = b*j - 2. Suppose 0 = -s + x*s. Solve -c - 3*c + 4*h - 36 = s, -5*c - 2*h - 17 = 0 for c. -5 Suppose 5*m = 5*r + 25, -2*m + 9 - 3 = 2*r. Let y(z) = 21*z - 21*z + 1 - m*z**3. Let s be y(-1). Solve 5*a = w - 0*w + 21, -4*a = -s*w for w. 4 Let d(p) = -p**2 - p + 11. Let r be d(-3). Solve 0 = r*c - q, 2*c + 2*q + 17 = 5 for c. -1 Suppose 2*z + 20 = 5*s, 5*z - 4*s = -5*s + 4. Solve -2*y + 0*y - n + 3 = 0, 2*y - n - 13 = z for y. 4 Suppose 37*r = 34*r + 27. Suppose 4 = -p + r. Solve 3*t = p*a + 18, a - 2*a = -3*t + 6 for t. 1 Let t(n) = 4*n**2 + 2*n - 51. Let r be t(-4). Solve 4*c + 24 = 4*z, -r*c - 14 = 3*z - 0*c for z. 2 Let l = 219 + -215. Solve -5*w + l*q - 49 + 8 = 0, -6 = 2*w + q for w. -5 Let m be 2/(-1) - (5 - (1 - -6)). Solve 11 = -3*g - 4*b, -4*g + b - 6*b - 14 = m for g. -1 Suppose -25 = 134*y - 139*y. Solve 4*q - 5*b + 21 = -14, 5 = -4*q - y*b for q. -5 Let r be (-24 + -6)/6*-1. Solve o - w = -r*w - 19, -4*o - 5*w - 21 = 0 for o. 1 Let x(b) = -b**3 + 44*b**2 + 44*b + 49. Let z be x(45). Solve -z*d = 2*r + 2, -2 = -d + 3*d for r. 1 Let q = 534 + -518. Solve -2*b - q = -2*n - 4, 5*n = -3*b + 6 for n. 3 Let o = -25 - -13. Let t be (-60)/(-16) - 3*1/o. Solve -t*m + 5*n - 6 = -4, 0 = 5*n - 10 for m. 2 Let t(s) be the third derivative of s**5/60 - s**4/6 + s**3/3 + s**2 - 40. Let o be 0*(1 + 0) - -4. Let n be t(o). Solve 3*m - 17 = 4*x, -3 = n*x + 7 for m. -1 Let t = 465 + -359. Let w(l) = -3*l**2 + 7*l. Let p be w(6). Let h = p + t. Solve 5*c + 4*y = -5, 5*y - h = 5*c + 2*y for c. -5 Let b = -38 + 37. Let a be (8/(-6))/(b/3). Solve -o = -a*v - 0*o + 23, -4*o = 12 for v. 5 Let i = 6 - 3. Let a(n) = 3*n**3 + 4*n - n**3 - 5*n**2 + 0*n**3 - 1. Let s be a(i). Solve -22 = -d + 4*w - 9*w, 4*w - s = -2*d for d. 2 Let t(n) = 4*n**2 - 22*n - 10. Let b be t(6). Let m = 7 + -4. Suppose -m*r + r = 5*a - 37, -b*r + a = -19. Solve -3*o + 0*o = 2*i + r, 8 = -i - 2*o for i. 2 Let l(v) = -v**2 - 7*v - 8. Let m be l(-2). Solve -m*d + 5*u - 10 = 0, 0 = d - 4*u + 3 + 8 for d. 5 Let y = -6 + 8. Suppose 0 = 5*p + 4*v - 26, 2*p + 0*p = -v + 8. Suppose 5 = -q, 3*h + 26 = 7*h - p*q. Solve 24 = -h*g + 3*m, 7*m - 2*m - 14 = -y*g for g. -3 Let r(i) = i**3 - 5*i**2 - i - 5. Let d be r(5). Let q be (15/d)/(1/(-4)). Suppose 6*y - q - 6 = 0. Solve -4*s + y = 2*k + s, 2*s - 5 = -5*k for k. 1 Let t(q) be the first derivative of q**4/4 + 11*q**3/3 + 9*q**2/2 - 8. Let g be t(-10). Solve i = -3*o - g, 2*i + o + 14 = -3*o for i. -1 Let l = 104 + -101. Solve -3*o - s = 13 - 1, -l*s = -9 for o. -5 Let v(h) = 4*h. Let p be v(1). Suppose 2*r + p = 6*r, -18 = -3*q - 3*r. Solve 0 = -n - 2*z - 4, 5*z + 15 = -q*n for n. -2 Let h(v) = v**3 - 8*v**2 + 2*v + 35. Let d be h(7). Solve j = 4*j - 3*p - 6, d = 5*j - p - 6 for j. 1 Suppose -2*v + 235 = 2*s + 69, -5*s = -2*v - 436. Let m = s - 81. Solve -l - 4*d - 4 = -3*l, -m*l = -d - 10 for l. 2 Let m(l) be the third derivative of l**4/12 - 4*l**3/3 - l**2. Let w be m(8). Solve -4*g + 3*g - 25 = -5*b, 2*b - w = 0 for g. -5 Let y(i) = 3*i**2 - 9*i + 4. Let w be y(3). Solve w*l - 12 = 2*s, 0 = l - 2*s - 2*s + 4 for l. 4 Suppose 5*c = -3*l, -4*c + 6 + 16 = -2*l. Solve -3*b + 12 = 0, 5*h + 4*b - 29 = c*b for h. 5 Let h = -72 + 76. Suppose 0 = -4*t - h*t + 120. Solve 0 = -0*k - 4*k, 3*n + t = 4*k for n. -5 Suppose 37*u = 8*u. Solve 2*r + 0*r + 5*m - 18 = u, 4*r = -m for r. -1 Let x(w) be the second derivative of w**3/6 + 2*w**2 - w. Let a be x(0). Solve 4 = a*u + 4*t - 0*t, -4*u + 2*t + 10 = 0 for u. 2 Let l(j) = j**3 + 9*j**2 + 7*j - 4. Suppose -4*k - 40 = 3*s + 7, 0 = 5*k - 5*s + 15. Let c be l(k). Solve 16 = -i + c*x - 3, 0 = 3*i - x + 13 for i. -3 Let a be (0*2/(-6))/((-45)/9). Let b(l) = -l**3 + 4*l**2 + 2*l - 4. Let y be b(3). Solve 3*c - y = j - c, a = -4*c + 12 for j. 1 Let t(v) = -6 + 25*v - 24*v + 0*v**3 - 9*v**2 + v**3. Let q be t(9). Let
{ "pile_set_name": "DM Mathematics" }
f 27334989 and 2673? 891 What is the greatest common divisor of 1274 and 3374? 14 Calculate the greatest common divisor of 8533 and 9250991. 1219 Calculate the greatest common divisor of 19610 and 851. 37 Calculate the greatest common divisor of 3529619 and 29. 29 Calculate the greatest common factor of 6368487 and 142. 71 Calculate the highest common factor of 1359935195 and 5. 5 Calculate the highest common factor of 400 and 1162750. 50 What is the highest common divisor of 137288 and 206980? 524 Calculate the highest common factor of 85226778 and 1176. 294 Calculate the greatest common factor of 8473761 and 17427. 471 Calculate the highest common divisor of 400 and 39485200. 400 What is the greatest common factor of 292716 and 125819? 47 What is the highest common divisor of 180 and 71035425? 45 What is the highest common factor of 4579718 and 3484? 1742 Calculate the highest common divisor of 46228 and 260. 52 Calculate the greatest common divisor of 23672670 and 256785. 4845 What is the greatest common factor of 5841 and 58025? 11 Calculate the greatest common factor of 2186136 and 48. 24 What is the highest common divisor of 2662 and 2216962? 242 What is the highest common divisor of 5722787 and 208453? 2149 Calculate the highest common divisor of 37372 and 25464. 4 Calculate the greatest common divisor of 240 and 28726760. 40 What is the highest common factor of 850323 and 1615? 17 What is the greatest common factor of 69296650 and 860? 430 What is the highest common divisor of 119 and 220591? 7 Calculate the highest common divisor of 1702 and 119805482. 1702 What is the greatest common factor of 390 and 49356723? 39 Calculate the highest common divisor of 21115305 and 105. 15 Calculate the highest common factor of 105989 and 669335. 263 What is the greatest common factor of 1090 and 15242015? 545 What is the greatest common factor of 1332707988 and 12? 12 Calculate the highest common factor of 328 and 5004952. 328 What is the greatest common divisor of 8 and 86829916? 4 Calculate the greatest common factor of 76919076 and 468. 468 Calculate the highest common divisor of 94444049 and 1449. 161 Calculate the greatest common factor of 297604 and 2820. 188 Calculate the greatest common divisor of 405572 and 21484. 164 Calculate the greatest common factor of 4449114 and 8883. 1269 Calculate the greatest common divisor of 298 and 53093915. 149 Calculate the greatest common divisor of 4541 and 4966659. 239 Calculate the greatest common factor of 32908 and 19076. 76 Calculate the highest common divisor of 28244 and 774824. 92 What is the highest common factor of 1041304230 and 60? 30 Calculate the greatest common factor of 196 and 14989982. 98 What is the greatest common factor of 4575 and 1757837? 61 Calculate the greatest common factor of 222462661 and 6584. 823 Calculate the greatest common factor of 175086 and 25500906. 2466 Calculate the highest common factor of 754743099 and 2018. 1009 What is the greatest common divisor of 7407401712 and 1104? 1104 Calculate the greatest common divisor of 31317633 and 18. 9 Calculate the greatest common factor of 12261653 and 604. 151 Calculate the highest common divisor of 347673624 and 24. 24 Calculate the greatest common factor of 84 and 54918864. 84 Calculate the greatest common factor of 357043982 and 394. 394 Calculate the greatest common factor of 74200 and 343. 7 Calculate the highest common divisor of 24133956 and 10164. 924 What is the greatest common divisor of 341244 and 84? 12 What is the highest common divisor of 16031203 and 191? 191 Calculate the greatest common divisor of 3060091 and 7. 1 Calculate the greatest common factor of 4494788 and 7136. 892 What is the greatest common factor of 791544 and 732? 12 Calculate the highest common factor of 23015600 and 12. 4 What is the greatest common factor of 62624 and 26904? 152 What is the greatest common divisor of 165102 and 2562? 42 Calculate the greatest common factor of 6 and 81471777. 3 What is the highest common factor of 755 and 499641635? 755 Calculate the greatest common divisor of 5570484 and 15768. 876 Calculate the greatest common factor of 356 and 10547301. 89 What is the highest common factor of 37391 and 417? 139 Calculate the highest common factor of 1273 and 5846167. 19 What is the highest common factor of 4502128 and 1968? 656 Calculate the highest common factor of 4390974 and 8505. 63 Calculate the highest common factor of 264 and 101666928. 264 Calculate the highest common factor of 697 and 1856849. 41 What is the greatest common factor of 90 and 2919790? 10 Calculate the highest common divisor of 151927 and 5004. 139 What is the greatest common factor of 55288770 and 764? 382 What is the highest common factor of 174 and 3177114? 6 Calculate the highest common divisor of 14081810 and 80. 10 What is the highest common divisor of 1986834234 and 17? 17 Calculate the greatest common factor of 12026036 and 962. 74 Calculate the greatest common factor of 6041074 and 6954. 122 What is the highest common factor of 891293 and 1087711? 1853 What is the greatest common factor of 73853490 and 15762? 426 Calculate the greatest common factor of 7000 and 8659875. 875 What is the highest common factor of 4536816 and 7520? 752 Calculate the greatest common divisor of 522172 and 2677777. 1097 What is the highest common divisor of 14616 and 11373742? 58 What is the greatest common divisor of 1824 and 52333920? 96 Calculate the highest common factor of 9061 and 1551979. 13 Calculate the greatest common divisor of 90743349 and 465711. 8787 Calculate the highest common divisor of 986 and 85318087. 493 Calculate the highest common factor of 30153 and 48507. 1311 Calculate the greatest common divisor of 6918394 and 11718. 434 What is the highest common factor of 7048553 and 386? 193 Calculate the highest common divisor of 3728475 and 875. 25 What is the greatest common factor of 37386 and 72527634? 1206 Calculate the highest common divisor of 64526 and 10934224. 5866 Calculate the highest common divisor of 93908 and 167008. 68 What is the greatest common factor of 5358195 and 138105? 1395 What is the highest common divisor of 100116 and 118098? 486 What is the greatest common divisor of 529 and 58555884? 23 Calculate the highest common factor of 1020818 and 13468992. 4838 Calculate the greatest common divisor of 286829983 and 11. 11 Calculate the highest common divisor of 28157047 and 758. 379 Calculate the highest common divisor of 31414922 and 1918. 1918 What is the highest common factor of 28 and 15514716? 28 What is the highest common divisor of 521741 and 176? 11 Calculate the highest common divisor of 15624 and 66311294. 434 Calculate the highest common factor of 21 and 16022209. 7 What is the greatest common divisor of 237187901 and 398? 199 What is the highest common factor of 248 and 12963440? 8 What is the greatest common factor of 40093986 and 206? 206 Calculate the highest common divisor of 74043 and 6878. 19 Calculate the greatest common factor of 8173 and 28039. 11 What is the highest common factor of 147363421 and 146? 73 What is the greatest common factor of 1573017 and 80571? 753 Calculate the highest common divisor of 243 and 23639040. 243 What is the greatest common divisor of 258 and 46117328? 86 Calculate the greatest common divisor of 2807 and 111070183. 2807 Calculate the greatest common factor of 57 and 22611007. 19 Calculate the highest common factor of 308451451 and 17. 17 What is the greatest common factor of 19950 and 7790874? 798 What is the highest common factor of 21772864 and 64? 64 What is the highest common factor of 8476020 and 903960? 5580 Calculate the greatest common factor of 3360 and 116983440. 1680 Calculate the highest common divisor of 22903 and 3155043. 619 What is the greatest common factor of 3562460 and 7040? 220 Calculate the greatest common factor of 210 and 27346074. 42 Calculate the greatest common factor of 54 and 13956489. 27 Calculate the highest common divisor of 11882353 and 21. 7 Calculate the greatest common factor of 57166 and 1914758. 202 What is the highest common divisor of 11030 and 9110? 10 Calculate the greatest common factor of 3034984848 and 21. 21 Calculate the highest common
{ "pile_set_name": "DM Mathematics" }
(r)? -4 Let n(q) be the first derivative of 3*q - 16 - 1/4*q**4 + 1/3*q**3 + q**2. Give n(3). -9 Let i(k) = 11*k**2 + 5*k. Let o(v) = -4*v**2 - v. Let q(j) = 3*i(j) + 8*o(j). What is q(-6)? -6 Let s(n) = 206*n + 13 - 2 - 395*n + n**2 + 199*n. Give s(-9). 2 Let a(o) be the third derivative of o**8/20160 - o**7/5040 - o**6/720 - o**5/5 - 5*o**2. Let d(m) be the third derivative of a(m). What is d(-3)? 11 Let n(g) = g**2 + g - 6. Let i(y) = y**3 + 10*y**2 - 25*y - 15. Let p be i(-12). What is n(p)? 0 Let s be 1/(-4) - ((-1035)/(-108))/(-23). Let a(p) be the second derivative of s*p**3 + 0*p**2 - 5*p + 0 - 1/2*p**4. What is a(1)? -5 Let n(p) be the second derivative of -1/20*p**5 + 0 + 5*p + 0*p**3 + p**2 + 1/6*p**4. Let s = 7 - 4. Determine n(s). -7 Let o(j) be the first derivative of -j**4/4 - 7*j**3/3 - 3*j**2 + 4*j + 45. Determine o(-5). -16 Let f(s) = 19*s**2 + 11*s + 22. Let k(p) = 17*p**2 + 11*p + 22. Let n(m) = 8*f(m) - 9*k(m). Determine n(-8). 2 Suppose 2*c = -2*p - 4, -3*p - c + 47 - 49 = 0. Let i(s) = -4*s**2 - 3*s - 6. Let k(x) = x**2 + x. Let j(o) = i(o) + 3*k(o). Determine j(p). -6 Let u(l) = -l**2 - 5*l - 2. Let n be u(-4). Suppose -1 = n*a + 7. Let k(t) = -21 + 37 - 18 + 0*t - t. Determine k(a). 2 Let n(j) = -4*j**2 + 2 - 8*j - 4 + 9 + 3*j**2. Let p be n(-9). Let z(k) be the third derivative of -k**4/12 - k**3/2 + 3*k**2. What is z(p)? 1 Let y(p) be the second derivative of p**4/4 + p**3/6 + p**2/2 - 3*p + 11. Suppose w + 6 + 0 = 2*d, -2*w = 2*d. Give y(d). 15 Let z(s) be the second derivative of 0*s**3 + 0 + 1/720*s**6 - 1/8*s**5 + 0*s**2 + 2*s - 7/12*s**4. Let t(r) be the third derivative of z(r). What is t(0)? -15 Let z = -13/200 + 8/75. Let f(u) be the third derivative of 0*u + 1/60*u**5 - 1/120*u**6 + 0 - 5*u**2 + z*u**4 + 1/2*u**3. Give f(0). 3 Let x be (-2)/(8/8)*-1. Let y(h) be the first derivative of 5/2*h**x - 1/3*h**3 - 4 + h. Determine y(4). 5 Let o(t) = -t**3 + 10*t**2 - 9*t + 1. Let i be o(9). Let s(u) = -1 - 2*u**2 + 0 - 2*u**3 - 2*u + 1 - i. Determine s(-1). 1 Let j = 335 + -343. Let p(g) = g**3 + 9*g**2 + 10*g + 10. Calculate p(j). -6 Let v(s) be the second derivative of -3*s**2 - 15*s + 0 - 1/6*s**3. Calculate v(-6). 0 Let u(j) = -33*j + 14. Let h be u(4). Let v = h + 123. Let d(p) = -p. Let s(f) = -4*f - 2. Let q(k) = -5*d(k) + s(k). What is q(v)? 3 Let n(u) be the third derivative of -1/24*u**4 + 0*u + 1/3*u**3 - 2*u**2 - 1/15*u**5 + 0 - 1/120*u**6. Let p be 0 + 2 - (-5)/(15/(-12)). Give n(p). -4 Let o(y) = -y + 1. Let b be o(-1). Suppose 3*g + 4*k = 22, 5*k - 35 = b*g - 7*g. Suppose 0 + g = -6*t. Let j(s) = -2*s. Calculate j(t). 2 Suppose -y + 12 = -36. Suppose 3*h + 0*h - y = 0. Let u(a) = -7*a - 9*a + a**2 + h*a - 1. Give u(-2). 3 Let c(f) = -5919*f + 2964*f + 2956*f. Suppose 0 = 3*g + q + 3, -3*g - 2 = 3*q + 1. What is c(g)? -1 Let d(q) = 10*q + 185. Let a be d(-19). Let i(j) = -6*j + 1. Determine i(a). 31 Let m be -12*((-18)/(-99) - 10/(-66)). Let c(p) = -8*p. Calculate c(m). 32 Let j(b) = -10*b**3 + 2*b**2 + 3*b - 3. Let g be j(1). Let t(v) = -v**2 - 9*v + 6. Determine t(g). 14 Suppose 2*x - 12 = -x + 2*y, -2 = -4*x - 2*y. Suppose -x*i = i - 9. Let w(q) = -21*q**2 + 10*q**2 + 10*q**2 + q**i. Calculate w(1). 0 Let f(b) be the third derivative of -b**5/60 - b**4/6 + b**3/6 + 187*b**2 - 2*b. Let t = 4 - 8. Let q = t - 1. Calculate f(q). -4 Let q(m) = -m**2 - m. Let c(r) = r**2 - 8*r - 5. Let d(h) = -c(h) - 2*q(h). What is d(-7)? -16 Let n = 87 - 81. Let f(a) = 4*a + n*a + 440*a**2 - 441*a**2 - 7. Determine f(9). 2 Let o(t) = -6 + 22 - 10*t - 11 - 4 - 7. Determine o(-2). 14 Let h = -95/3 + 32. Let l(n) be the second derivative of n**2 - 3*n - 1/12*n**4 + 0 - h*n**3. Determine l(-3). -1 Let a = 3 - 0. Let n(y) = -4*y + 4. Let r(v) = 6*v - 5. Let t(m) = -19*m + 16. Let c(x) = 8*r(x) + 3*t(x). Let f(s) = 3*c(s) - 7*n(s). Calculate f(a). -1 Let c(s) = -9*s + 3. Let r(b) = 2*b. Let u(i) = -c(i) - 4*r(i). What is u(12)? 9 Let b(l) = l**3 - l**2 - l - 1. Let v(p) = 3*p**3 - 6*p**2 - 2*p + 2. Let g(t) = -2*b(t) + v(t). Give g(4). 4 Let o(y) = -y**3 + 2*y**2 - 4*y + 2. Let s be (8/12)/((-4)/(-102)). Let w = s + -15. Suppose w*c + 0*c - 5*j = -6, -c - 4*j + 10 = 0. What is o(c)? -6 Let f be 19/(570/(-80))*(2 + 1). Let b(j) = j**2 + 6*j - 16. Give b(f). 0 Let q(t) = t**2 - 22*t - 42. Let u be q(-2). Let s(p) = -p - 1. Give s(u). -7 Let i(n) = 5*n**2 - 18*n - 21. Let w(l) = -l**2 + 5*l + 5. Let r(m) = 2*i(m) + 9*w(m). Calculate r(-7). -11 Let i(d) = -7*d**3 - 15*d**2 + 6*d - 8. Let p(r) = 8*r**3 + 16*r**2 - 6*r + 10. Let f(v) = -7*i(v) - 6*p(v). Determine f(-9). 50 Let m(q) = 4*q**3 + 10*q**2 + 10*q - 1. Let g(u) = -3*u**3 - 9*u**2 - 9*u + 1. Let d(y) = 3*g(y) + 2*m(y). Suppose -35 = 4*a - 11. Give d(a). 7 Let v(d) be the first derivative of -d**6/120 - 2*d**5/15 - 3*d**4/8 - d**3 - 27*d**2/2 + 1. Let x(m) be the second derivative of v(m). Give x(-7). 8 Let b(v) be the third derivative of v**4/4 + 5*v**3/6 - 2*v**2 - 22. Give b(-4). -19 Let r(k) = -8*k**2 + 6*k - 3. Let w(c) = -7*c**2 + 6*c - 3. Let u(g) = -6*r(g) + 7*w(g). Calculate u(5). 2 Let z(b) = -12*b**2 + 0*b - b**3 + 0*b + 37 - 44. What is z(-12)? -7 Let c(k) = 4*k + 26. Let l be c(-7). Let q be 0*(-1)/2 - (l - 4). Let t(h) = h**2 - 6*h - 2. Determine t(q). -2 Let a(c) = c - 3. Let k(s) = -13*s - 190. Let f be k(-15). Calculate a(f). 2 Let o(l) = -16*l + 28. Let n(c) = -7*c + 13. Let r(k) = -9*n(k) + 4*o(k). Calculate r(5). -10 Let g(n) = 3*n - 10. Let h be g(4). Let z(t) = 4*t + 68 - 8*t**2 + 4*t**h - 71. Determine z(2). -11 Let f(l) = -5*l**3 + 18*l**2 + 11*l - 10. Let q be f(4). Let r(x) = -10*x - 1. Calculate r(q). -21 Let w = 2 + 0. Let n(a) = -20*a + 53. Let b(m) = -5*m + 12. Let k(q) = -9*b(q) + 2*n(q). Calculate k(w). 8 Let c(h) = h**2 + 24*h + 23. Let g be c(-23). Let z(f) be the second derivative of g - 1/20*f**5 - 5/6*f**3 - 1/2*f**4 + f**2 - 7*f. Calculate z(-4). -10 Let j(l) = 5*l - 29. Suppose 251*k - 5*t = 253*k + 15, -5*k + 5*t + 50 = 0. Calculate j(k). -4 Let o(y) = y**3 + 7*y**2 - 3*y - 5. Let v be 1/2*(-4 + (-40)/4). What is o(v)? 16 Let k(a) = -20*a + 10. Let b(y) = 3 - 3*y + 7*y - 11*y. Let r(v) = 10*b(v) - 3*k(v). What is r(-2)? 20 Let h = -2900 - -2908. Let i(c) = c**2 - 7*c - 15. Calculate i(h). -7 Suppose 7*a - 37 = -16. Let t(v) = 7 - 11*v**a + 10*v**3 + 5*v + v**2 + 4*v**2. What is t(6)? 1 Suppose 25 = 7*s - 66. Let b(x) = 4*x + x - s*x + 6*x. Calculate b(-1). 2 Suppose -p = 4*m - 14, -5*p + 4 + 3 = -m. Let v(y) = 4*y + 11 - 4 + 3*y + y**p. Calculate v(-6). 1 Let w be (3 - 0)*4*5/12. Let u(h) be the first derivative of -h**3/3 + 4*h**2 - 7*h - 43. What is u(w)? 8 Let b(t) = -5*t. Let q(d) = -14*d - 67. Let s be q(-5). Suppose -4*y + s*y = 4*g + 18, 5*g = -2*y - 21. What is b(g)? 25 Let m be 60/(-14) + 4 + 36/28. Let q(d) = 8*d. Give q(m). 8 Let w be (3/(-6))/(2/(-8)). Let s(y) = -y**3 + 6*y**2 - 6*y + 8. Let f be s(5). Let i(t) = -t - f - 3*t - 6*t**2 + 4*t**w + t. What is i(-2)? -5 Let v(u) be the second derivative of -u**5/60 + u**4/24 + 2*u**3 + 3*u + 15. Let x(s) be the second derivative of v(s). Calculate x(-1). 3 Let n(l) = -63*l - 4 + 20*l + 42*l. Calculate n(4). -8 Let g(s) = s**2 - 8*s + 18. Let y be g(4). Suppose 2*w + 0 = -y. Let i(q) be the second derivative of -q**4/12 - q**3/3 - q**2/2 - q. Give i(w). 0 Let o(l) = 2*l + 4. Let k(r) = r + 1. Let b(c) = -5*k(c) + 2*o(c). Determine b(4). -1 Let t(r) = 2*r**2 - 19*r + 14. Let i be ((-4)/(-1))/4 + 2*1. Let u(g) = -g**2 + 10*g - 7. Let o(p) = i*t(p) + 5*u(p). What is o(5)? -3 Let t = 146 + -140. Let q(h) be the third derivative of -h**4/24 - 7*h**3/6 - 12*h**2. Calculate q(t). -13 Suppose 5*x - x - 16 = 0. Suppose 2*n = x*l - 24, 0*l = -4*n - 5*l - 9. Let q = -5 - n. Let b(j) = -3*j**3 + j**2 - j + 1. Calculate b(q). -2 Suppose -f + n - 1 = 3, f + 12 = -3*n. Let q(o) = o**3 + 6*o**2 + 2*o + 8. Determine q(f). -4 Let m(d) = -d**3 - 4*d**2 + 1. Let p(a) = 8*a + 9. Let f(u) = 3 + 0 - 5 - 2*u. Let x(q) = -9*f(q) - 2*p(q). Let n be x(-2). Determine m(n). 1 Let a be 3/(0 + 3)*0/2. Let o(c) = -c**2 + 19. Calculate o(a). 19 Let r(q) = q**3 - 5*q**2 - 3*q + 3. Suppose 0*m - 70 = -14*m. What is r(m)? -12 Let y(g) be the second derivative of -7*g**3/6 - 3*g**2 + 666*g. Give y(0). -6 L
{ "pile_set_name": "DM Mathematics" }
-2*u + 13*f + 7 = 0 for u. -3 Solve -27 = -f - 5*n, -43*f + n + 111 = 15*f for f. 2 Solve 4*x - 96*m = -97*m + 89, 5*x - 145 = -35*m for x. 22 Solve 0*l + o + 6 = l, -3*l + 14 = -531*o + 532*o for l. 5 Solve -2*j = -244591*g + 244594*g - 30, 28 + 15 = 3*j + 4*g for j. 9 Solve 0 = 323*a - 318*a - 6*q - 27, -12 = 2*a + 9*q for a. 3 Solve 26*v - 225 = 5*v + 3*l, 7913 - 8029 = -10*v - 3*l for v. 11 Solve -2*k - 13*i = 1, -10718*k + 10711*k - 5*i - 44 = 0 for k. -7 Solve 65*v + 3 = 2*h + 96*v - 19, 5*v = 5*h + 3*v - 55 for h. 11 Solve 10*q - 13*q - b - 3*b + 36 = -7*q, -18 = 4*q + 5*b for q. -7 Solve -257 = -23*h + 31*x, x + 55 = 8*h - 7*h - 4*x for h. -5 Solve -11*c + 329 - 289 = 7*j, -3*c + 14 = 5*j for c. 3 Solve 2591*h + 1 = 2600*h - u - 3, -4*h - 4*u - 16 = 0 for h. 0 Solve l - 6*l - 1982*s + 15 = -1987*s, -2*s = -8*l - 0*s for l. -1 Solve -514*z = o - 519*z - 4, 3*z = -3*o + 3 - 9 for o. -1 Solve 4*k + 2 = 5*y, 3*y + 489*k = 493*k - 2 for y. 2 Solve -r - 26 = 5*n - 60, -r - 5*r + 4*n = -3*r + r + 56 for r. -6 Solve -27*t - 7952 = 44*t, -320 = -4*i - 5*t + 3*t + 5*t for i. -4 Solve -2*k = 2*y - 0*k + 10, -4*k = 6 + 2 + 14 - 18 for y. -4 Solve -21 - 33 = 5*l + n, -35*n + 110 = 3*l - 38*n - 34 for l. -1 Solve -2*y - 8*y - 3*y = -11*y - 2*b - 2, 16*y + b - 67 = 0 for y. 4 Solve 797 - 757 = -25*n - 3*v, 3*n - 11*v - 52 = 0 for n. -1 Solve -x - 189 = 5*p, 28*x + 80 = -27*x + 83*x - 24*x - 2*p for x. 1 Solve -2*h + 7*h + 10 = 0, 4*k + 5*h + 37 = 11 for k. -4 Solve 0 = -4*v - 7*c - 3*c + 98 + 74, -4*c = 18*v - 24*v - 46 for v. 3 Solve -2*m - 58 = 2*u, 6202*u + m = -6198*u + 12398*u + 3*m + 42 for u. -4 Solve -27*p + 136 = 54*v + 57*v - 110*v, -3*v - 3*p = -18 for v. 1 Solve 0 = 3*r - 8827131*j + 8827132*j - 25, -4*j = -3*r - 25 for r. 5 Solve -37*j = -4*q + 1377, 12*j + 0*q = 17*j - 3*q + 191 for j. -37 Solve 5*a + 410*r - 17 = 409*r + 8, -3*a - r + 13 = 0 for a. 6 Solve 21*p + 26*p - 5*x = 50*p - 7, 4*x + 144 - 164 = -4*p for p. 9 Solve 3*z = -c - 29, 314*z = 311*z - 10*c - 47 for z. -9 Solve -179*k - 16 = -r - 72*k - 102*k, -9 = -3*r + 2*k for r. 1 Solve -1319 + 1520 = 5*l - 4*f, 0 = -3*l + 2*f + 121 for l. 41 Solve 9 = 3*l, 5*d + 6*d - 9*d - 23*l + 93 = -d for d. -8 Solve 3*h + 39 = 5*y, h - 8*y + 39132 = 39081 for h. -3 Solve v + 2*v = 5*p + 2*v + 21, -141*p + 79*v - 689 = 34*v + 41*v for p. -5 Solve 0 = 4*n - 4*f - 32, 104065*n - 4*f = 104067*n + 56 for n. -4 Solve 4*i - 277 = i + m - 264, 11*i - 5*m - 25 = 16 for i. 6 Solve 46*g - 6*k + 342 - 130 = 0, 243*k + 14 = -4*g + 245*k for g. -5 Solve -211*c + 10 = -208*c + 3*o - 2, -50 = -20*c - 5*o for c. 2 Solve 646*m - 641*m + 17*i = 45, 4*m - 2*i = 36 for m. 9 Solve 32 = 4*h - 4*u, 72*h + 38832*u - 38836*u = 508 for h. 7 Solve 14 = t + k, t - 26 - 26 = -4*k - 5 for t. 3 Solve 3*u + 8 - 137 = 4*q, -3*q + 15*u + 17*u + 129 = 35*u for q. 0 Solve 0 = -2*n + 6, -414*n - 17 = -y - 415*n for y. 14 Solve -125*j = -4*w + 384, 78*j = 3*w + 77*j + 83 for w. -29 Solve n - 3 = -3*r, -34350332*r + 34 = 3*n - 34350298*r for n. 0 Solve 5*j + 2 - 2 = 0, -2*w + 3*j - 196 = -373 + 235 for w. -29 Solve 0*k = 9*k - 4*w + 58, 2*k - 2 + 36 = 4*w + 18 for k. -6 Solve h + 1161 = -381*b, 0 = 5*h + 3*b + 3 + 69 + 27 for h. -18 Solve -74 = -1046*y + 525*y + 526*y - 4*i, 2*y + 2*i = 46 for y. 2 Solve -2*t - 12 = 5*b, 5*b + 55866197 = t + 55866173 for b. -4 Solve 3*q + 16 = 2*n, -4*n = 8 - 22 + 6 for q. -4 Solve v = 3*a + 95, 3*v + 118 = 1167*a - 1171*a for a. -31 Solve 3*f = -39, -3*x - f - 5 - 89 = f + 5*f for x. -1 Solve -3*g + 12*h + 9 = 18*h, 2*g + 8*h + 2 = 6*h for g. -5 Solve 3*u + 2*c - 830 + 785 = 0, -u + 53 = 3*u + 5*c for u. 17 Solve -t - 88 = 3*s, t - 832962 = -9*s - 833230 for t. 2 Solve -522*z - 524 = -203*b - 521*z, z + 116 = -b for b. 2 Solve -32*b = -4*q + 840, 3*b - 39 = 3*q - 123 for b. -26 Solve -a - 65 = -70, 7*o + 4*a + 43 = 0 for o. -9 Solve 4*p - 2*i = i + 39, -192*p = -55*p - 90*p - 48*p + 2*i + 21 for p. 3 Solve -170*t + 171*t - 71*m + 6246 = 0, -2*t + m = -t + 86 for t. 2 Solve -4*v - f = 22, -646782*v + 5*f = -646787*v - 50 for v. -4 Solve 579*w = 575*w + 2*h + 24, -56 = 7*h for w. 2 Solve 0 = -5*t - j + 6*j, 2*t - 4*t - 2 = 7*t - 2*t - t - 4*j for t. -1 Solve -7*k = -5290*w + 5301*w - 143, 5*w = 4*k + 65 for w. 13 Solve -5*x - 45*c + 1 + 3 = -160*c + 118*c, 0 = x + 4*c - 28 for x. -4 Solve 9*y - 92 = 5*g - 262, 106 = -3*g + 16175*y - 16180*y for g. -2 Solve 2*i = -4*s - 489 + 485, -4*i = -3*s - 3 for s. -1 Solve 2*k - 3*f = 78, 59*k = 80*k - 5*f - 183 for k. 3 Solve 36 = 8*i - 4*i + 4*u, 4*i - 1040*u + 1036*u - 52 = 0 for i. 11 Solve 143*w = -3*m + 148*w - 64, -4*m = 3*w + 76 + 48 for m. -28 Solve 3*n - 9*n + 11*s - 50 = -11*n, 4*n + 9*s = 25 + 15 for n. 10 Solve g = 2, 35*g - 34*g = 4*o - 14 - 8 for o. 6 Solve 90 = d + 5*r + 485, -27*d + 2*r + 295 = 0 for d. 5 Solve 4*p = g + 181 - 79, 500 = -0*p + 20*p for g. -2 Solve -685*j + 6 = v + 681*j - 1364*j, -2*v - 12 = -2*j for v. -2 Solve 202*u = 201*u + 3*w + 8, -3*u + 2*w = -10 for u. 2 Solve -48 = 3*u + 5*w, 3955*u - 3958*u + w = -24 for u. 4 Solve 8*m - 5*t + 95 = 5*m + m, 0*m + 3*m + 114 = 6*t for m. 0 Solve -4*w - 51 = -5*k, 950*w - 479*w - 475*w = -k + 39 for w. -9 Solve -3*p + 8*t - 3 = 9*t, -23*p + 18*p = -5*t - 15 for p. 0 Solve 1578*f - 71 = 1580*f - 15*h, 39 = 7*f + 5*h for f. 2 Solve -2*a - x + 11842 - 11801 = 0, -x = -16*a + 355 for a. 22 Solve -4*u - 855 = -3*y + 5*y - 829, 0 = 3*u - 4*y - 30 for u. -2 Solve 3*o = 5*x - 14, 25*o + 76*x = 53*o + 63*x - 4 for o. 2 Solve 8940 = p + 3*v + 8981, v = -15 for p. 4 Solve 5*w + 4*w + 77 = -13*k, -2*k + 60 = -4*w + 88 for k. -8 Solve 5*r - 283*f = 130*f - 538, 0 = -5*f + 5 for r. -25 Solve 4*j = -38*n + 38*n - 5*n + 17, -2*n + 6*n = -5*j + 10 for n. 5 Solve -52*o + 13 = -4*q - 55*o, 0 = -8*q - 10*q - 3*o + 57 for q. 5 Solve -171*s + 167*s - 49 = -5*k, 10*s - 3 + 175 = -4*k for s. -16 Solve 4*f = 12*j - 13*j + 172, 13*f + 68 = -j + 627 for j. 0 Solve -10*h = 150*k - 147*k - 72, -k = -h - 0*h + 34 - 71 for h. -3 Solve 4*d = -5*x + 70, 95 = 7089*x - 7081*x + 3*d for x. 10 Solve -2*o = -q - 35, -3*q + 18926 - 37900 = -3*o - 18920 for q. -1 Solve w = -7*w - 2*x + 242, 4*w + 2*x = -x + 123 for w. 30 Solve -o + 22 = -2243*f + 2242*f, -3*f + 4*o - 83 = -f - 3*f for f. -1 Solve -127*b = -2*z + 2024, 2*b = z + 8291 - 8319 for z. -4 Solve -3*d + 7 = 19*r - 2*d + 386, -179*r + 180*r - d + 5*d = -16 for r. -20 Solve -6 = 3*w - 2*b - 22 - 21, 2416*w - 2414*w = -b - 1 for w. 5 Solve -5*t = t + 4*o + 18, -11 = 2*t - 1644*o + 1647*o for t. -1 Solve -131*a + 142*k - 141*k - 276 = -152*a, k = 3*a - 36 for a. 13 Solve -108 = -2*a - 3*b, 1177 - 1265 = -2*a + 7*b for a. 51 Solve 2*r - 22*r + 136 = 4*o, -o - 2*r + 4*r + 12 = -8 for o. 24 Solve -5*g + 80 = 5*s, -94426084*s = -94426081*s - g - 28 for s. 11 Solve -53373192*p + 53373193*p + 4 = 5*q, 20*p - 128 = -4*q for p. 6 Solve -6*g - 4*c + 43 = -20*g + 13*g, 136*g - 81 = 5*c for g. 1 Solve 2*h + 2420 - 2306 = 2*y, -4*y = 3*h + y + 139 for h. -53 Solve -8*p + 6*p - 2 = -27*z, 0 = 2*p - 5*z - 5*z + 5*z + 2 for p. -1 Solve -5*t = -2*x + 3645 - 3672, 4*t - x = 21 - 0 for t. 5 Solve 4*b + 175 - 184 = 3*a - 132, -3*a + 15 = 0 for b. -27 Solve 21*c - 142 = -5*b + 72, -c - 1 = -2*b for b. 5 Solve -21*g - 17*g + 35 = -40*g + 4*y - 7, -3*g = -y + 8 for g. 1 Solve 4*l - 15*r = 206, -5*l + 23 = -12327*r + 12325*r for l. -1 Solve -498*f + 495*f - 3*y = -45, 6*f + 3*y = 39 for f. -2 Solve 24*c + 0*v + 2*v + 0 - 12 = 28*c - 0, 512*c + 2564 = -v for c. -5 Solve 2*p + 1 = c, 10*p - 10*c = 6*p - 10 for p. 0 Solve 258*i + 5*x = 260*i - 2, 21*i = 5*i + 5*x + 86 for i. 6 Solve 2*f + 530 = -2*p + 261 + 259, -3*p + 185 = -17*f for f. -10 Solve -2*o + o + 5*f + 50 = 0, -53*o - 114 = -69*o + 2*f - 16 for o. 5 Solve 6*b - 26 = 2*u, 4*b - 2914 + 2892 = -u for u. 2 Solve -5*v + 1641 - 797 = 3*q + 762, v - 2 = 3*q for v. 14 Solve 5*m = 84*c - 1256 + 248, m = 0 for c. 12 Solve -4*s - k + 10 = 0, -572*s - 36*k = -568*s + 200 for s. 4 Solve -546*z + 549*z - 5 = -p, -4*p + 1 = z + 36 for p. -10 Solve -9*l - 771 + 824 = 5*w, 4*w - 36 = -4*l for l. 2 Solve 2*b + 30*r - 8*r - 25*r = -17, -20*r + 129 - 27 = -2*b for b. -1 Solve -2*n + 10 = 2*i + 24, 379*n - 337*n + 24 = 3*i for i. -6 Solve 0 = -6*z -
{ "pile_set_name": "DM Mathematics" }
= -3*w + 1. Solve -4*t + w = 14 for t. -1 Suppose 15*w - 16 = 16*w + 3*x, -25 = 2*w + 5*x. Solve 2*q + w*q = -2*q for q. 0 Suppose 25*f = -7532 + 2757. Let k = -189 - f. Solve g = k*g + 3 for g. -3 Let j(y) = -2906*y + 5823. Let s be j(2). Solve s*n + 19 = 107 for n. 8 Let l(a) be the second derivative of a**4/6 - 23*a**3/3 - 16*a**2 + 12*a + 3. Let v be l(24). Solve m = 5*m + v for m. -4 Let p = -71 - -46. Let m(s) = -s**3 - 24*s**2 - 60*s - 324. Let c be m(-22). Let w = p + c. Solve -w - 1 = r for r. -4 Suppose -61*o + 8565 = 2953. Solve -17*l - 143 + o = 0 for l. -3 Suppose 6 - 25 = -v - 5*s, 0 = 3*v - 2*s - 23. Solve -8*z = -v - 39 for z. 6 Let k = 36356 + -36140. Solve -31*x - 5*x = k for x. -6 Let g(p) = 2*p**2 + p - 17. Let u be g(-4). Suppose o = -3*o + 56. Let c = o - u. Solve x = c*x for x. 0 Let q(u) = -u**3 - 55*u**2 + 107*u - 398. Let l be q(-57). Solve 0 = -5*i + 11 - l for i. 2 Suppose -12*b + 13 = -10*b - 3*z, 5*z = -3*b - 9. Solve 20 + b = 22*v for v. 1 Suppose 29*x + 1773 = 14649. Solve x*a - 437*a = -49 for a. -7 Suppose 67*x + 440 = 111*x. Solve x*l - 12 = -42 for l. -3 Suppose -2*l + m = l - 64, 0 = -4*l + 3*m + 82. Suppose -6*t = -9*t - 2*q + l, -5*q + 45 = 5*t. Solve -t*g = 5*g for g. 0 Suppose 0 = 35*q - 36*q + 3. Suppose 4*o - 3*i - 129 = 0, -2*o - 46 = -q*o - 2*i. Let t be (o/(-10))/((-6)/15). Solve -5*u + 2*u = t for u. -3 Let h = 15994 - 15986. Solve -100 = h*w - 60 for w. -5 Let i be 58/(-4)*-2*1. Suppose 13*p + 16*p = -754. Let f = i + p. Solve j = f*j + 8 for j. -4 Suppose -2*v = 5*o - 2351 - 2443, -3*o = v - 2397. Solve -2334 + v = -9*g for g. -7 Suppose -33 = -13*f + 6. Suppose 3*k = -3*l + 32 + 19, -f*l + 3*k + 69 = 0. Let s(c) = -3*c - 3. Let d be s(-2). Solve -l = i + d*i for i. -5 Suppose 0 = -22*v - 24*v + 22448. Solve -v = c - 482 for c. -6 Suppose -5*u = -31 - 99. Let a = -39038 + 39069. Solve u*v = a*v for v. 0 Let h(v) = -33*v - 99. Let f be h(-3). Solve -18*l - 11*l - 29 = f for l. -1 Let t be (-19)/((-228)/48) - 2. Let v be 2/(-5) + 17/5. Suppose 0 = 4*s, -4*g + 0*g = v*s - 12. Solve t*c = g*c + 3 for c. -3 Suppose 2*q - 12 = -0*q - 3*m, 13 = q - 2*m. Let i be (-2)/((-10)/25)*(-12)/(-15). Suppose 3*n - 16 = -8*j + i*j, 5*j - 4*n - 20 = 0. Solve -j*d - q = 7 for d. -4 Suppose 9*u - 33 = -2*u. Let r be (-4 - -8)/(-1 + u). Solve -12*j + 14*j - r = 0 for j. 1 Suppose -4*o + 3 + 9 = 0. Suppose o*b - 9*b = -66. Let v be (2/(-6))/(b/(-66)). Solve 8 = -5*x - v for x. -2 Suppose -96 = -22*i - 31 + 265. Solve -8*x - 23 = -i for x. -1 Suppose 0 = -4*n - 13*n + 58433 - 57617. Solve 0 = n*s - 4*s + 264 for s. -6 Let d(o) = 2*o + 17. Let a(j) = -j - 9. Let x(h) = -5*a(h) - 3*d(h). Let s be x(-15). Suppose 6 + s = 3*t. Solve -1 = 2*l + t for l. -3 Let x be (9/((-189)/14))/((-1)/162). Suppose -28*q = -37*q + x. Solve -10*n - 2 = -q*n for n. 1 Suppose 108*c + 211*c = 3509. Solve c*d + 23*d = -238 for d. -7 Suppose 4*d = -5 - 27. Let j be (-2 - d)/((-1)/3) - -1. Let q = j + 32. Solve -h = -4*h - q for h. -5 Let z(b) = -b**3 + 7*b**2 - 2*b - 1. Let m be z(7). Let x be 0 + (-4 - m/5). Let h be 4/1 + (1 - x). Solve -l = l - h for l. 3 Let h = 153 + -61. Suppose 0*g + h = 23*g. Solve 0 = g*u + 12 - 28 for u. 4 Suppose -2*o - 16 = -5*c - 230, 5*o + 3*c = 566. Suppose -5*q = -2*t - 192, o = -q + 4*q - 2*t. Suppose 22*y - 27*y = -q. Solve -y = -v - v for v. 4 Suppose -2*m + 15 - 1 = -c, 0 = -2*c - m - 13. Let v(s) = -2 - 8 + s**2 + 7*s + 2. Let i be v(c). Solve k + 4 = -i*k for k. -4 Let h be ((-10)/20 + (-10)/4)/((-15)/50). Solve -h*n - 114 = 9*n for n. -6 Suppose 12*s + 2382 = 3*z + 17*s, 3*z = -4*s + 2385. Solve 795 - z = -4*c for c. 1 Let z = 4014 - 3976. Solve 0 = -z*w + 19*w + 19 for w. 1 Suppose 2*u - 12 + 16 = -5*i, -u + 19 = -i. Solve -u*n + 263 = 354 for n. -7 Let q(f) = f + 8. Let p = 67 - 74. Let g be q(p). Suppose -3*v - 8 + g = -4*z, 4*z = 16. Solve 6 + 3 = v*k for k. 3 Let v be (-5 + 6)/(((-20)/(-5))/236). Solve v*k - 38*k = 63 for k. 3 Let b be (2149/588 + 2/21)/((-10)/(-16)). Solve 3*d + b = -3 for d. -3 Let s(q) = -4*q**2 + 26*q - 39. Let j(c) = 2*c**2 - 13*c + 20. Let v(k) = -11*j(k) - 6*s(k). Let h be v(8). Suppose -6*z = -10 - h. Solve -z = -u - 4 for u. 4 Let q = 428 - 676. Let t = q - -251. Solve 8 = -t*y + 11 for y. 1 Suppose 3*y + 90*t - 167 = 92*t, 2*y + t = 123. Solve 77*q = y*q - 54 for q. -3 Let k(n) = -2*n**2 - n + 1. Let z be k(-1). Suppose 5*c + 4*s + 6 = z, -20 = -3*c - c + 3*s. Suppose c*w + 4*w = 3*w. Solve -5 = 5*d - w*d for d. -1 Let f(q) = -6*q + 72. Let g be f(12). Suppose 147*j - 144*j = g. Suppose 5*a + 5*h - 25 = 0, -4 = 3*h - 13. Solve 4*l - 6 - a = j for l. 2 Suppose 3*b + 14 - 48 = 5*z, -5*b = -5*z - 40. Suppose -299 + 389 = b*r. Solve 6*g + 0*g = -r for g. -5 Let w(l) = -l**3 - 28*l**2 - 35*l + 20. Let s be w(-28). Suppose -965 + s = 7*u. Solve 0*g = -u*g + 15 for g. 3 Let m be 8 + (5*-2)/((12/162)/(-1)). Solve 152*v = m*v - 18 for v. -2 Let d = -18 - -13. Let y(m) = m**3 + 10*m**2 - 2*m + 7. Let q be y(d). Let b = q - 137. Solve -5*i + b + 0 = 0 for i. 1 Suppose -2*x - g + 33 = 0, 0 = -49*x + 50*x + 4*g - 34. Solve 0*j + x*j = -3*j for j. 0 Let h be (((-46)/(-69))/(3 - 2))/((-6)/(-1296)). Solve 97*n + h = 79*n for n. -8 Let l be (-20)/55*11/(-2)*4. Solve -l - 172 = -36*h for h. 5 Suppose -22*f - 280 = -27*f. Suppose -f*d = -63*d + 21. Solve 0 = 7*o - d*o - 8 for o. 2 Let d be (63/84 - (-329)/4) + 2 + -7. Solve d = w + 82 for w. -4 Let k be (-30)/(-12)*(-10)/50 - (-193)/2. Solve 45 = -17*h + k for h. 3 Let n = 5348 + -5329. Solve -4*d - n = -39 for d. 5 Suppose 13*z - 43 - 13 = -4. Solve z*u = -26*u + 60 for u. 2 Let v be 120/28 + 2/(-7). Suppose -s + 2*i + 12 = 4*i, -2*i = -2*s + 48. Let x be ((-6)/(-1))/(s - 18). Solve -5 = x*q + v for q. -3 Suppose 73*r + 280 = 83*r. Let t be r/20 + -1 + 8/(-20). Solve -3*s + t = -15 for s. 5 Let b = 14 + -8. Suppose -94*w - 29*w = 0. Solve w*k + b*k = 6 for k. 1 Let x be 456 + 0 - -25*(-44)/1100. Solve -8*l - x + 479 = 0 for l. 3 Suppose 0 = -2*t + 6*t - 68. Suppose 15*y - 14*y = t. Suppose -5*p - 6*m + 19 = -2*m, 4*p = -5*m + y. Solve 0 = -4*i + p + 1 for i. 1 Let v = 4592 + -4592. Solve 26*s - 16*s = v for s. 0 Suppose f - 2*f = h - 8, -5*h = 2*f - 31. Suppose -d + 2*d = -q + 1, -4*q + f*d = -11. Suppose 0 = -29718*u + 29768*u - 250. Solve u*r - q = 13 for r. 3 Let b be (-2 + 39/9)*141. Let m = b + -292. Solve -7 + m = 6*g for g. 5 Let j(u) = -u. Let f be j(-8). Suppose l - f = -q + 2, -q - 8 = -l. Solve -12 = l*a + 6 for a. -2 Suppose 4*l = 4*w + 144, -2*l = 2*w - 6*l + 80. Let h = -30 - w. Suppose -36 = -3*s - 27. Solve -s*u - h*u = 0 for u. 0 Let g be (-1)/(-4) + (-1 - (-450)/24). Let b be 114/g - 1/(6/(-4)). Let z(j) = 3*j - 1. Let r be z(2). Solve -r*a + b - 2 = 0 for a. 1 Let t(g) = g**2 + 3*g + 4. Let p be t(-3). Suppose 2*d = -p*d + 636. Let q be d/3 + (-9)/27. Solve -q = -5*y - 10 for y. 5 Let j = 4211 - 4201. Solve 0 = 20*h - 18*h - j for h. 5 Let a = 561 + -252. Let i = -307 + a. Solve i*f = 3*f + 4 for f. -4 Suppose 4*a + 5*h + 25 = 0, -2*a = -2*h - h - 15. Suppose a = 5*k - 4 - 36. Suppose -14 = 200*s - 207*s. Solve 2*v + s*v = k for v. 2 Let c = 91 + -87. Suppose -5*j + 5*f - 8 = f, -c*j - 6 = -3*f. Suppose 0 = -u + l - 2*l + 1, j = 2*u - 2*l - 14. Solve 0 = 5*m - 16 - u for m. 4 Let a = 2581 - 2571. Solve -9*t - a = -11*t for t. 5 Suppose -179*y - 2507 = -202*y. Solve 111*c = y*c + 14 for c. 7 Let j(t) = 8*t**2 + 14*t - 16. Let a(o) = -13*o**2 - 21*o + 24. Let d(l) = 5*a(l) + 8*j(l). Let h be d(4). Let r = -2 - -3. Solve -r = -5*i + h for i. 1 Suppose -2*z - 39 = t - 75, 3*z + 4*t = 59. Let x(a) = a**2 - 22*a + 87. Let c be x(z). Solve 5*l - c = -7 for l. -1 Suppose -2*i - 3204 + 3736 = 3*s, 0 = 2*i + s - 532. Solve 0 = i*o - 256*o + 10 for o. -1 Suppose -2*l - 3*r = -3, 4 = -3*r + 1. Let w(n) = -241*n - 477. Let a be w(-2). Solve a*u = l*u - 2 for u. -1 Let y = -850 + 880. Solve -29*a + 115 = -y for a. 5 Let t(a) = 2*a**3 + 65*a**2 + 34*a + 72. Let v be t(-32). Solve v = 20*b - 16*b for b. 2 Let r be -15 + 130/10 + (0 - 2). Let v be 180/16 - (-5)/r. Solve 5*s + 15 + v = 0 for s. -5 Let u be 2967/301 - 1/(-7). Suppose -109*j + 114*j = u. Solve 0*l - 2 = -j*l for l. 1 Let y = -2652 + 2677. Solve 0 = y*i + 24*i - 98 for i.
{ "pile_set_name": "DM Mathematics" }
g) = 7*d(g) + 3*y(g). Let z(l) = 3*a(l) + 24*p(l). Determine z(m(q)). -9*q Let v(j) = -222*j - 18. Let l(a) = 2. Let n(g) = -10*l(g) - v(g). Let m(o) = -5*o**2. What is m(n(i))? -246420*i**2 + 4440*i - 20 Let o(c) = 7083373*c. Let d(u) = 37*u**2. Determine o(d(j)). 262084801*j**2 Let y(l) = -2*l + 18. Let t(r) be the first derivative of 19*r**2/2 + 1757. What is y(t(h))? -38*h + 18 Let d(l) = -l**2. Suppose 38*c - 40*c = -2. Let a(q) = 2 + 11 - 15 - 229*q + c. What is a(d(z))? 229*z**2 - 1 Let h(m) = -15*m**2. Let j(q) = -310*q**2 + 124*q + 3596. Let i(z) = -2*z**2 + z + 29. Let f(l) = -124*i(l) + j(l). Calculate h(f(d)). -57660*d**4 Let d(x) = -x + 6. Let y(c) = -16*c - 29805. Determine y(d(p)). 16*p - 29901 Let n(y) = 10*y - 9. Let k(u) = u**2 - 3*u + 9. Let r(b) = 2532*b - 7*b**2 + 3*b**2 - 6 - 6 + 2*b**2 - 2528*b. Let d(f) = 4*k(f) + 3*r(f). What is n(d(i))? -20*i**2 - 9 Let g(d) be the first derivative of d**2 + 45. Let s(p) be the second derivative of p**4/4 + 5*p**3/3 - 6*p + 3. Determine g(s(q)). 6*q**2 + 20*q Let m(d) = 10*d + 1. Let n(x) = -6*x**2 - 5*x - 44. Determine n(m(l)). -600*l**2 - 170*l - 55 Let z(u) = 3837 + 803*u + 1347*u - 124*u - 3836. Let d(r) = 2*r. Calculate d(z(q)). 4052*q + 2 Let n(l) = -6*l. Let k(i) = 58*i + 473. What is k(n(g))? -348*g + 473 Let f(d) = -26*d + 10. Let l(a) = -42*a + 16. Let o(g) = -8*f(g) + 5*l(g). Let b(u) = -841*u**2. Calculate b(o(s)). -3364*s**2 Let h(x) = -19*x - 132. Let i(y) = -989*y - 6831. Let o(l) = 414*h(l) - 8*i(l). Let k(p) = -2*p**2. Give k(o(z)). -4232*z**2 Let t(p) = 38*p. Let d(u) = -2*u + 6. Let q(w) = -14*w + 40. Let x(r) = -60*d(r) + 9*q(r). What is t(x(c))? -228*c Let x(c) be the first derivative of c**3/3 + 8*c - 100. Let z(u) = -3*u**2 - 20. Let w(t) = 5*x(t) + 2*z(t). Let m(b) = -74*b**2 - 2*b. Determine w(m(f)). -5476*f**4 - 296*f**3 - 4*f**2 Let k be (4/(-5))/((-4)/(-10)) - -9. Let o(l) = 2*l**2 + 17*l**2 - k*l**2. Let w(b) = 3*b**2. Determine o(w(m)). 108*m**4 Let l(j) = 398696*j + 1769. Let k(r) = -451*r - 2. Let o(s) = -1769*k(s) - 2*l(s). Let n(d) = 14*d. What is n(o(x))? 5978*x Let v(h) = -21*h**2 + 726*h + 3. Let k(c) = -c. Give k(v(i)). 21*i**2 - 726*i - 3 Let y(i) be the third derivative of -37*i**5/60 - i**2. Let s(d) = -375 + 165*d - 168*d + 354. Let p(t) = t + 9. Let o(w) = -7*p(w) - 3*s(w). Determine o(y(k)). -74*k**2 Let z(h) = -12*h**2 + 52*h - 17. Let q(w) = -13*w**2 + 39*w - 13. Let i(x) = -4*q(x) + 3*z(x). Let u(n) = -142*n. Calculate u(i(r)). -2272*r**2 - 142 Let o(k) = -153*k**2. Let x(p) = -121*p + 298. Give x(o(n)). 18513*n**2 + 298 Let a(b) be the third derivative of -b**5/60 + 5*b**4/12 - 206*b**2. Let r(n) = -4*n. Let w(q) = -2*a(q) - 5*r(q). Let k(y) = 106*y. Give w(k(c)). 22472*c**2 Let p(m) = -29*m**2. Let l(w) = 25*w - 40*w - 266 + 264. Determine l(p(g)). 435*g**2 - 2 Let k(c) = -1063*c**2 + 19*c. Let o(x) = -84*x**2. What is k(o(t))? -7500528*t**4 - 1596*t**2 Let c(h) = 7339*h - 96. Let t(v) = 5*v. What is c(t(w))? 36695*w - 96 Let i(h) = -8*h**2. Let f(v) be the first derivative of -40*v**2 - 81. Calculate f(i(l)). 640*l**2 Let q(v) = 899*v**2 + 5*v - 2. Let x(m) = -901*m**2 - 6*m + 2. Let y(r) = 6*q(r) + 5*x(r). Let k(d) = 3*d**2. What is k(y(w))? 2370963*w**4 - 10668*w**2 + 12 Let p(k) = 100*k. Let h(v) = -8*v + 15855. Calculate h(p(o)). -800*o + 15855 Let r be (-3)/(9/(-2))*1292733/254. Let y(h) = -3393 + r - 2*h. Let i(z) = 0 + 7*z**2 - 1 + 3. Calculate i(y(g)). 28*g**2 + 2 Let y(c) = 29*c**2 - 190387. Let q(h) = 71*h. Give q(y(l)). 2059*l**2 - 13517477 Let k(x) be the third derivative of x**5/60 - 59*x**3/3 + 15*x**2 + 2*x. Let f(d) be the first derivative of k(d). Let g(p) = 28*p**2. What is g(f(b))? 112*b**2 Let j(v) = 95*v**2. Let w(z) = -32*z + 8*z + z + 9*z. Give j(w(a)). 18620*a**2 Let r(n) = -5*n + 413. Let l(x) = -8*x + 603. Let m(i) = -5*l(i) + 7*r(i). Let d(z) = -4*z**2. Calculate m(d(u)). -20*u**2 - 124 Let k(s) = 3675*s**2. Let u(q) = -946*q. Give u(k(y)). -3476550*y**2 Let s be (1 + (-1)/2)*(-272)/(-68). Let c(m) = 4*m + 16*m - 6*m + 0*m - s*m. Let f(l) = -7*l. Give c(f(w)). -84*w Let k(t) = -t**2 + 1674*t. Let a(p) = 20284*p. Calculate k(a(l)). -411440656*l**2 + 33955416*l Let w(f) be the third derivative of -f**5/12 - 10521*f**2. Let z(h) be the second derivative of -8*h**3/3 - h. Calculate w(z(g)). -1280*g**2 Let m(r) be the second derivative of -1397*r**3/3 + r + 1287. Let i(w) = w. What is m(i(a))? -2794*a Let v(l) be the third derivative of 24*l**2 - 1/5*l**5 + 0*l**3 + 0*l + 0*l**4 + 0. Let w(y) = -5*y. Give w(v(z)). 60*z**2 Let j(y) be the second derivative of -y**4/12 + 1624*y. Let o(b) = b**2 + b + 2. Let k be o(0). Let s(m) = m + 12 - 2*m + 5 - k*m. Give j(s(t)). -9*t**2 + 102*t - 289 Let y(j) = -3*j**2. Let n(a) be the third derivative of -a**7/336 - 17*a**5/60 - a**4/24 + 51*a**2. Let z(w) be the third derivative of n(w). Determine y(z(v)). -675*v**2 Suppose -5*h + 8*h - 2*a - 12 = 0, -2*h + 7 = -a. Let j(o) = -o**h + 8 + 0 - 10 + 2. Let x(p) = 94*p. Determine j(x(f)). -8836*f**2 Let m(z) be the first derivative of -z**2 - 60*z + 7418. Let h(n) = -6*n**2. What is h(m(q))? -24*q**2 - 1440*q - 21600 Let f(r) = -3*r**3 - 76*r**2 + 42*r - 250. Let a be f(-26). Let b(x) be the first derivative of -a + 3/2*x**2 + 0*x. Let z(q) = 7*q. What is b(z(c))? 21*c Let j(m) = -9*m - 16921. Let o(p) = -5*p - 136. What is o(j(g))? 45*g + 84469 Let t(u) = -u**3 - 3*u - 46*u**2 - 48*u**2 + 93*u**2 + 23. Let q be t(0). Let a(i) = -5*i**2 + q*i - 23*i. Let g(n) = 3*n. Calculate a(g(w)). -45*w**2 Let x(b) = 38760*b - 17. Let q(k) = -7*k. What is q(x(t))? -271320*t + 119 Let t(w) be the second derivative of w**4/4 - 2194*w - 2. Let s(d) = 503*d + 2. What is s(t(a))? 1509*a**2 + 2 Let i(j) = -5*j. Let x(o) = -33*o - 11. Let m be x(-1). Let t(l) = 20*l - 20*l + m*l**2. Determine i(t(r)). -110*r**2 Let z(m) = -885*m**2. Let j(s) = -10262*s - 3. What is j(z(w))? 9081870*w**2 - 3 Let a(n) = -n**2. Suppose 6 = 19*k - 1020. Let u(c) = -14*c + 61*c + k*c + c**2. What is u(a(r))? r**4 - 101*r**2 Let q(n) be the first derivative of 7*n**3/3 + 5483. Let r(b) = 680*b**2. Calculate r(q(c)). 33320*c**4 Let d(v) be the first derivative of 39*v**2/2 + v + 357. Let i(a) = -5*a**2. Calculate d(i(b)). -195*b**2 + 1 Let n(c) = 12*c. Let g(y) be the second derivative of y**3/2 + 11*y**2/2 + 189*y. Give g(n(l)). 36*l + 11 Let a(k) = -12*k**2 + 18. Let p(o) = o**2 + 2. Let s(q) = 4*q**2 + 3. Let h(g) = -5*p(g) + 2*s(g). Let f(u) = 2*a(u) + 9*h(u). Let v(d) = -38*d. Give f(v(y)). 4332*y**2 Let w(i) = 19*i. Let u(q) be the first derivative of q**2 + 12*q + 2148. Determine u(w(l)). 38*l + 12 Let n(p) = 2*p**2. Let f(q) be the first derivative of 226*q**2 + 538. Give n(f(y)). 408608*y**2 Let s(u) = -5 - 1 - 4*u**2 - 9 + 8*u + 15. Let q(x) = -23*x. What is q(s(b))? 92*b**2 - 184*b Let m(d) = -2092473*d. Let y(z) = 9*z**2. Determine y(m(l)). 39405989301561*l**2 Let j(w) = -2719*w. Let m(z) = -11066*z**2. Determine j(m(b)). 30088454*b**2 Let j(w) = -3907*w + 8440*w - 6343*w + 1. Let i(l) = -2*l**2. Determine i(j(f)). -6552200*f**2 + 7240*f - 2 Let g(z) = -313*z. Let x(t) = -72*t**2 + 6*t - 10. Calculate g(x(h)). 22536*h**2 - 1878*h + 3130 Let j(q) be the second derivative of 19*q + 0*q**2 + 0 + 1/6*q**3. Let w(c) = c**2 - 32*c**2 - 14*c**2. Calculate w(j(l)). -45*l**2 Let j(s) = 2*s. Let p = -15 + 18. Suppose -2*y = -m - 23, -12 = 4*y - p*m - 61. Let d(c) = -5 - 5 + y + 6*c. Give d(j(x)). 12*x Let d(j) = -j - 818. Let c(o) = 62003*o. Determine c(d(x)). -62003*x - 50718454 Suppose 15 = -6*h - 39. Let w(l) = -109*l**2 + 9. Let k(f) = -27*f**2 + 2. Let t(u) = h*k(u) + 2*w(u). Let v(s) = -s. Give v(t(j)). -25*j**2 Let q(w) = 1239*w. Let l(z) be the first derivative of z**3 + 963. Calculate l(q(c)). 4605363*c**2 Let k(q) = -2*q - 1. Let v(i) = -7*i - 2. Let p(l) = 2*k(l) - v(l). Let y(h) = -442*h**2 + 607*h**2 - 3*h + 3*h. Give y(p(d)). 1485*d**2 Let y(v) = -3092418*v**2. Let o(i) = -7*i**2. What is o(y(x))? -66941343607068*x**4 Let g(f) = -8*f + 1. Let a(b) = 89*b - 11. Let h(r) = -4*a(r) - 44*g(r). Let k(n) = -8*n**2 + 3. Give k(h(j)). -128*j**2 + 3 Let b(p) = 7*p**2. Let n(g) be the third derivative of -107*g**5/6 - g**3/6 + 15*g**2 - 199*g. Give b(n(o)). 80143
{ "pile_set_name": "DM Mathematics" }
2/7*b**4 - 2/7*b + 0 - 6/7*b**3 = 0. 0, 1 Let b = 185/6 - 61/2. Factor 1/3*d**3 + 1/3*d**4 + 0*d + 0 - b*d**2 - 1/3*d**5. -d**2*(d - 1)**2*(d + 1)/3 Let m(w) be the second derivative of -1/108*w**4 - 1/180*w**6 + 2/135*w**5 - w**2 - 4*w + 0*w**3 + 0. Let y(i) be the first derivative of m(i). Factor y(n). -2*n*(n - 1)*(3*n - 1)/9 Let i = 16 - 13. Suppose 1/5*m**i + 0 + 1/5*m**2 + 0*m = 0. Calculate m. -1, 0 Let i(a) = -a**2 + 7*a - 4. Let z be i(6). Factor -2 + 2*l**z + 10*l - 16*l + 2. 2*l*(l - 3) Let f be ((-8)/(-10))/((-4)/(-10)). Let -4/3*i + 0 + 2/3*i**f = 0. What is i? 0, 2 Let -8/9*i - 8/9 - 2/9*i**2 = 0. Calculate i. -2 Suppose -3 = -u - 1. Let -t**3 - 6 - 3*t + 5 + 3*t**u + 2 = 0. What is t? 1 Let r(h) be the first derivative of h**5/120 + h**4/24 - h**2/2 - 1. Let d(n) be the second derivative of r(n). Let d(g) = 0. Calculate g. -2, 0 Let u(m) be the second derivative of -1/10*m**5 + 0 + 2*m - 1/2*m**3 + 1/4*m**2 + 3/8*m**4. Factor u(s). -(s - 1)**2*(4*s - 1)/2 Suppose 0 = -4*t - 18 - 2. Let s be 8/t*10/(-4). Determine c, given that 4/9*c - 10/9*c**3 - 2/9*c**2 + 2/9*c**s + 2/3*c**5 + 0 = 0. -1, 0, 2/3, 1 Let m(v) be the third derivative of -v**8/30240 - v**5/20 - 2*v**2. Let k(o) be the third derivative of m(o). Suppose k(l) = 0. Calculate l. 0 Let x = 4 - 2. Let m(p) be the second derivative of 1/15*p**6 + 2*p - 1/3*p**x + 1/63*p**7 + 1/15*p**5 + 0 - 1/3*p**3 - 1/9*p**4. Find s such that m(s) = 0. -1, 1 Let s(x) = -x**2 + 8*x + 5. Let r be s(8). Let t(g) be the third derivative of 0*g**3 + 0*g - g**2 - 1/30*g**r + 0 - 1/12*g**4. Suppose t(n) = 0. What is n? -1, 0 Let n(c) be the third derivative of c**7/420 - c**6/48 + 3*c**5/40 - 7*c**4/48 + c**3/6 - 6*c**2. Factor n(p). (p - 2)*(p - 1)**3/2 Let j be 1/(-3) + (-8)/3. Let h be (1 + -1)/j + 2. Factor i**h - 2 + 11 - 6*i + i - i. (i - 3)**2 Factor -9/8*f**2 + 3/4*f - 1/8. -(3*f - 1)**2/8 Let w(f) be the second derivative of f**9/15120 + f**8/6720 - f**7/2520 - f**6/720 + f**4/6 + 2*f. Let j(q) be the third derivative of w(q). Factor j(l). l*(l - 1)*(l + 1)**2 Let a(c) = 4*c**4 - 6*c**3 - 4*c**2 + 3. Let j(l) = -l**4 + l**3 + l**2 + l - 1. Let f(i) = -a(i) - 3*j(i). What is g in f(g) = 0? -1, 0, 1, 3 Let h be (-4)/(-6)*(-90)/(-20). Let r(w) be the first derivative of -1/2*w**4 - 2*w - 2*w**3 - h*w**2 - 1. Factor r(s). -2*(s + 1)**3 Factor 4/3*b + 1/6*b**2 + 8/3. (b + 4)**2/6 Let z be 5587/3108 - 1/12. Factor z*s**2 + s**3 - 2/7 + 3/7*s. (s + 1)**2*(7*s - 2)/7 Let j = 76 - 76. Factor j*s + 2/3*s**2 + 0 + 2/3*s**3. 2*s**2*(s + 1)/3 Suppose 5*x - 3*x - 4*x + 6*x**2 - 4*x**2 - 4 = 0. What is x? -1, 2 Suppose 0 = 5*x - 5*j - 40, -2*x + 3*j + 0*j = -21. Factor 22*y**4 - 4*y**x + 0*y**2 + 4*y - 8*y**4 - 14*y**2. 2*y*(y - 1)*(y + 1)*(7*y - 2) Let k(b) be the second derivative of b**7/42 - b**6/10 + 3*b**5/20 - b**4/12 + 16*b. Suppose k(q) = 0. Calculate q. 0, 1 Let s(y) be the first derivative of 4/5*y - 8 + 2/25*y**5 + 1/5*y**2 - 1/10*y**4 - 2/5*y**3. Factor s(b). 2*(b - 2)*(b - 1)*(b + 1)**2/5 Let n be ((-1)/((-1)/14))/2. Let i be (-1 + 0 - n)/(-14). Factor -i*p - 2/7*p**2 - 2/7. -2*(p + 1)**2/7 Let s be (-4 - -3)*0*(0 + 1). Let m(n) be the second derivative of 4*n**3 + s - n - 8/3*n**2 - 3*n**4 + 9/10*n**5. Factor m(i). 2*(3*i - 2)**3/3 Let x(q) = q**4 + 5*q**3 - 4*q**2 + 4*q - 4. Let b(i) = 0 - 2*i**4 - 4*i**3 - 7*i**3 + 2 + 9*i**2 - 9*i + 7. Let r(z) = 4*b(z) + 9*x(z). Factor r(o). o**3*(o + 1) Let k be (-1040)/(-336) - 2/21. Find t, given that 0 + 2/11*t**k + 2/11*t**2 + 0*t = 0. -1, 0 Let m = 456/77 + -62/11. Determine x so that -2/7 - 4/7*x - m*x**2 = 0. -1 Suppose 2*x + b - 2 = 2*b, -3*b = x - 15. Factor 10*n + 8*n**2 + n**3 + n**x + 0*n**3 + 4. 2*(n + 1)**2*(n + 2) Let n(t) be the third derivative of t**5/360 - t**4/24 + t**3/4 - 8*t**2. Determine c so that n(c) = 0. 3 Let c = -26 - -29. Let q(v) be the second derivative of -1/147*v**7 - 1/42*v**4 + 0*v**c - 1/35*v**6 + 0*v**2 + 2*v + 0 - 3/70*v**5. Factor q(h). -2*h**2*(h + 1)**3/7 Let k be ((-740)/(-225))/4 - (-6)/(-27). Factor -3/5 - 3/5*u**3 + k*u**2 + 3/5*u. -3*(u - 1)**2*(u + 1)/5 Let o(t) = -2*t**2 - 39*t - 17. Let k be o(-19). Solve -2/3*c**3 + 1/3*c**5 - 2/3*c**k + 1/3*c + 1/3 + 1/3*c**4 = 0 for c. -1, 1 Let c(f) = -f**2 - 6*f - 6. Let o be c(-4). Let h be o/3*(0 + 3). Factor -p**3 + 0*p**2 - 3*p**h + p**2 + 3*p**3. 2*p**2*(p - 1) Let s(n) be the third derivative of 0*n**3 + 0*n + 0 + 1/30*n**5 - 4*n**2 + 0*n**4. Suppose s(t) = 0. What is t? 0 Find v such that 3*v**2 - v**3 - 1 + 12*v + 4 - 2*v**2 - 7*v = 0. -1, 3 Let v be ((2 - 70/(-25)) + -5)/(-1). Factor q + 1/5*q**4 - 2/5 - v*q**3 - 3/5*q**2. (q - 1)**3*(q + 2)/5 Factor 87*j**2 - 117*j**3 + 7 - 49*j**4 - 9*j**3 + 8 + 76*j - 3. -(j - 1)*(j + 3)*(7*j + 2)**2 Suppose -63/4*t**2 + 81/2*t**3 - 1/8 + 19/8*t - 27*t**4 = 0. Calculate t. 1/6, 1 Suppose -3*o - 15 = -3*h - 0*o, h - 5*o - 17 = 0. Factor 0 + 5/2*t**h + 3/2*t**3 + t. t*(t + 1)*(3*t + 2)/2 Find z, given that 6/5*z**2 + 0 + 2/5*z**3 + 0*z = 0. -3, 0 Let q(x) = 10*x**2 - 35*x + 33. Let k(v) = 10*v**2 - 35*v + 32. Let h(n) = -3*k(n) + 2*q(n). Factor h(c). -5*(c - 2)*(2*c - 3) Let c(r) = r. Let i(n) = 9*n**3 - 6*n**2 - 27*n - 6. Let x(f) = -6*c(f) - i(f). What is u in x(u) = 0? -1, -1/3, 2 Let 4*w**2 - 20*w - 2*w**4 - 13*w**4 + 21*w**2 - 5*w**2 + 25*w**3 = 0. What is w? -1, 0, 2/3, 2 Let m be ((-3)/21)/1 - 36/(-84). Factor -8/7*y - 6/7 - m*y**2. -2*(y + 1)*(y + 3)/7 Let n(z) be the second derivative of -z**7/21 - z**6/3 - 3*z**5/5 + 2*z**4/3 + 8*z**3/3 + 44*z - 2. Factor n(u). -2*u*(u - 1)*(u + 2)**3 What is q in -5051*q**4 + 56*q + 2943*q**3 - 588*q**2 + 1014*q**3 - 2 + 249*q**4 - 1213*q**3 = 0? 1/7 Let -16*z**2 + 18*z**2 - 10 + 10 - 2*z = 0. What is z? 0, 1 Let p(o) = o**2 - 5*o - 35. Let j be p(9). Let s(m) be the first derivative of -j + 1/4*m**4 - 3/2*m**2 - 2*m + 0*m**3. Determine t, given that s(t) = 0. -1, 2 Let v be 6/27 - (-356)/18. Suppose 5*s = v, s + 17 = -i + 6*s. Suppose i*o + 10*o**3 - 11*o - 2*o**3 - 2 + 2*o**2 = 0. Calculate o. -1, -1/4, 1 Let a(l) = -l**2 + 7*l + 2. Let c be a(7). Factor -v**2 + c*v**3 - v**2 + 0*v**2. 2*v**2*(v - 1) Let v(y) be the third derivative of -y**8/112 + 11*y**7/420 - y**6/120 - y**5/24 + y**4/24 - y**2. Suppose v(o) = 0. What is o? -2/3, 0, 1/2, 1 Let u(q) be the second derivative of q**10/15120 + q**9/7560 - q**8/3360 - q**7/1260 + q**4/6 + 3*q. Let h(p) be the third derivative of u(p). Factor h(s). 2*s**2*(s - 1)*(s + 1)**2 Let w be -1*(-6 - 96/(-18)). Factor -w*n**3 - 1/3*n**4 + 1/3*n**5 + 2/3*n**2 - 1/3 + 1/3*n. (n - 1)**3*(n + 1)**2/3 Suppose 8*t - 20 = 3*t. Factor 2*k**2 - k**t - 2*k**2 + k**2. -k**2*(k - 1)*(k + 1) Let z be ((1 - -4) + -2)*(-18)/(-135). Determine g, given that 4/5 + 6/5*g + z*g**2 = 0. -2, -1 Suppose 2*s = -i - 10, i - 3*s - 15 = -2*i. Suppose 0 = 4*c + 5*p - 32, i = 4*c + 2*p - 10 - 10. Factor -6/5*v**4 + 0*v + 0 + 2/5*v**5 + 6/5*v**c - 2/5*v**2. 2*v**2*(v - 1)**3/5 Let a(y) = -1. Let q(x) = -x**2 + 6*x + 3. Let v(t) = -6*a(t) + q(t). Let l be v(7). Factor 2/7*z + 0 + 4/7*z**l + 0*z**3 - 2/7*z**5 - 4/7*z**4. -2*z*(z - 1)*(z + 1)**3/7 Let y(f) = -2*f + 4 + 0 + 2*f**2 - 20. Let r(q) = -1. Let h(i) = -12*r(i) + y(i). Factor h(g). 2*(g - 2)*(g + 1) Let h(x) be the first derivative of x**6/105 + x**5/35 - 2*x**3/21 - x**2/7 + 3*x - 2. Let t(c) be the first derivative of h(c). Let t(m) = 0. What is m? -1, 1 Let c(a) be the first derivative of -a**8/28 + 3*a**7/70 + a**6/40 - a**2/2 + 4. Let r(d) be the second derivative of c(d). Solve r(n) = 0. -1/4, 0, 1 Let o(c) = c - 2 + 0 + c. Let s be o(2). Let -1/4 - 1/4*y**s - 1/2*y = 0. What is y? -1 Let g(a) be the third derivative of -6*a**2 + 1/300*a**6 - 1/60*a**4 - 1/15*a**3 + 0 + 0*a + 1/150*a**5. Factor g(x). 2*(x - 1)*(x + 1)**2/5 Let o = -10 + 13. Determine r, given that 40*r + r**o - 14*r**4 - 5*r**2 + 47*r**2 - 5*r**3 - 4 + 12 = 0. -1, -2/7, 2 Let s(o) be the third derivative of o**8/2184 - o**7/1365 - o**6/260 + o**5/78 - o**4/78 + 4*o**2. Let s(w) = 0. What is w? -2, 0, 1 Let z(s) be the second derivative of -s**5/20 - s**4/6 + s**3/3 + 2*s. Let h be z(-3). Let -3/2*x**2 - 2 - 3*x - 1/4*x**h = 0. Calculate x. -2 Let n = -872/5 + 2626/15. What is r in 2/3*r - 2/3 + 2/3*r**2 - n*r**3 = 0? -1, 1 Suppo
{ "pile_set_name": "DM Mathematics" }
3*q**6 + 32*q**4 + 273195*q**3 + 25*q**2 + 228620*q? 360*q**3 + 768*q + 1639170 Find the third derivative of 1759216*y**3 + 1963*y**2 - 2379. 10555296 What is the second derivative of c*f**2 + 3*c - 127546079*f**2 - 8142*f - 506 wrt f? 2*c - 255092158 Find the first derivative of -2304*c**2 + 29982*c + 48536942. -4608*c + 29982 What is the first derivative of -10356*z**3 + 251*z - 12422275 wrt z? -31068*z**2 + 251 Find the second derivative of 21650743*h**4 - 2*h + 5177937. 259808916*h**2 What is the third derivative of -291091326*r**5 - 5418*r**2 + 190*r - 2 wrt r? -17465479560*r**2 Find the third derivative of -5508*l*q**5 - 3907*l*q**2 + 14747*l + 19922*q**4 wrt q. -330480*l*q**2 + 478128*q Differentiate 1518484*h + 9303337. 1518484 Find the third derivative of -96206171*p**6 + 291*p**2 - 2*p - 36346 wrt p. -11544740520*p**3 What is the second derivative of -151499*k**4 - 2*k**3*l**2 + 1929*k*l - 2*l**2 + 888*l wrt k? -1817988*k**2 - 12*k*l**2 What is the first derivative of 7*k**3*m + 762*k**3 + 513*k**2 + 9*k + 41*m**3 + 40178*m + 2 wrt m? 7*k**3 + 123*m**2 + 40178 What is the first derivative of -9777609*t**4 + 2*t + 62383898? -39110436*t**3 + 2 Find the second derivative of 440227*c**4 - 455*c**2 + 192635589*c wrt c. 5282724*c**2 - 910 Differentiate -95465220*h**2*s + 1532330*h**2 + h*s - h + 19 with respect to s. -95465220*h**2 + h Find the third derivative of 1486820*k**4 + 641*k**2 - 338 wrt k. 35683680*k Differentiate -50321*a**2*o**4 + 218*a**2 + 4*o**4 - 12312 with respect to o. -201284*a**2*o**3 + 16*o**3 What is the third derivative of 91*s**6 + 5*s**4 + 124209*s**3 + 11*s**2 + 2145*s - 3582 wrt s? 10920*s**3 + 120*s + 745254 Differentiate 5246274*m*o**2 + m*o + 12*m + 1575092 with respect to o. 10492548*m*o + m Find the second derivative of -8*m**5*o**2 + 7428020*m**3*o - 105246*m*o**2 - 13*m*o + m - o + 1 wrt m. -160*m**3*o**2 + 44568120*m*o Find the second derivative of 105*l*o**2 - 315479*l - 46758*o**2 - 26*o wrt o. 210*l - 93516 What is the third derivative of -167482199*i**6 + 287*i**2 - 24339*i? -20097863880*i**3 Find the third derivative of 432678368*h**3 + 13293*h**2 + h + 9047 wrt h. 2596070208 Differentiate 770390*d**3*k**2 + 2*d**3*k + d**3 - 22369*d - 1 wrt k. 1540780*d**3*k + 2*d**3 Find the second derivative of -55899417*x**2 + 9882023*x. -111798834 Find the third derivative of 9146356*z**5 + 10836247*z**2 wrt z. 548781360*z**2 What is the third derivative of -12112952*y**6 - 2*y**4*z**3 + 2*y**2*z + 2*z**3 + 226268*z wrt y? -1453554240*y**3 - 48*y*z**3 Find the third derivative of -1046669*g**2*z**3 + g**2*z**2 - g**2 - 194*g*z + 6*g + 36*z wrt z. -6280014*g**2 What is the derivative of 4237177*b**3 - 3*b**2 + 26289358? 12711531*b**2 - 6*b Find the second derivative of 5083632*f**2*l**2 - 156*f**2*l - 8*f**2 + 407*f + l wrt l. 10167264*f**2 Find the second derivative of 20*h**3*r**2 - 32558*h**3*r + h**3 - 3*h**2*r**2 + 65*h*r**2 - 3*h*r + 62*r**2 + 16 wrt r. 40*h**3 - 6*h**2 + 130*h + 124 What is the second derivative of 13021*x**4 - 2586*x**2 - 4153*x + 1514 wrt x? 156252*x**2 - 5172 What is the derivative of 262664346*s**2 + s - 271883254 wrt s? 525328692*s + 1 What is the third derivative of 41354527*q**4 - 98*q**2 + 160*q + 2527 wrt q? 992508648*q What is the derivative of -521773*l**2*s**3 - 7*l**2*t**2 + 68*s**3*t - 3*s**3 - 35*s*t**2 + s - 13*t**2 wrt l? -1043546*l*s**3 - 14*l*t**2 What is the first derivative of 464*n**3 - 175*n**2 - 5*n + 124418742 wrt n? 1392*n**2 - 350*n - 5 Find the second derivative of 73250960*h**5 + 226957716*h. 1465019200*h**3 Find the third derivative of -14120839*m**4 + 903587*m**2 - 6. -338900136*m Find the second derivative of -259732*r**3 + 346*r**2 + 141512617*r + 2. -1558392*r + 692 Find the third derivative of 85505287*z**5 - 27900190*z**2 + 2 wrt z. 5130317220*z**2 Find the third derivative of -4873*i**6*p**2 + 18*i**4*p**3 + 13729*i**2*p**3 wrt i. -584760*i**3*p**2 + 432*i*p**3 Differentiate -351428743*p**2 - 245381126. -702857486*p Differentiate -9303102*k**2 - 87852286. -18606204*k What is the second derivative of 11*r**5 + 8949592*r**4 - 99647*r - 675 wrt r? 220*r**3 + 107395104*r**2 Differentiate -89587279*x + 235952709 with respect to x. -89587279 Find the second derivative of 6473962*j**2*p**2*r - j*p**2 + 79886*j*p*r - j*p + p**2*r wrt j. 12947924*p**2*r Find the third derivative of -154615673*c**5 + 7*c**2 - 151439*c + 36. -9276940380*c**2 What is the derivative of 6*v**4 + v**3 + 165*v**2 - 35*v + 2358048 wrt v? 24*v**3 + 3*v**2 + 330*v - 35 Find the third derivative of -110*s**4 - 324109*s**3 - 2210036*s**2 - 37*s wrt s. -2640*s - 1944654 Find the third derivative of 273604329*i**4 + 647597679*i**2. 6566503896*i What is the derivative of 17204347*g + 12509669? 17204347 What is the second derivative of 3610*d**2*f + 1390*d**2*r**3 - 96*d*f*r**3 + d*f*r**2 + d*r**3 - 3*d*r + 8*f*r**3 + 13*f*r**2 - 3*f wrt d? 7220*f + 2780*r**3 Find the second derivative of 15972665*o**5 + 1717145*o - 3. 319453300*o**3 Differentiate 313*g**4 - 5918*g**3 - 2*g**2 - 92752213 with respect to g. 1252*g**3 - 17754*g**2 - 4*g What is the third derivative of 11036126*k**5 + 7096743*k**2 wrt k? 662167560*k**2 What is the third derivative of 35866935*j**3 + 9867827*j**2 wrt j? 215201610 Find the third derivative of -30686*p**5 - 13*p**3 + 19*p**2 + 407847. -1841160*p**2 - 78 Differentiate -38894731*d**4 + 23837294. -155578924*d**3 What is the derivative of -26*w**4 - 4177270*w**3 + 213917539? -104*w**3 - 12531810*w**2 What is the second derivative of -42987513*j**3*y**2 + j*y**2 + 66*j*y + 3*j - 2*y**2 - 12 wrt j? -257925078*j*y**2 Find the first derivative of 115*d**2 + 7576*d - 4908620. 230*d + 7576 Find the second derivative of -b*s**3*u + 44*b*s**2 + 921*b*s*u + 2*b*u + 7727*s**3 - 1077*s*u wrt s. -6*b*s*u + 88*b + 46362*s Find the second derivative of -1010641540*b**4 + 1290266368*b. -12127698480*b**2 Find the second derivative of 6349850*d**3 + 53241327*d wrt d. 38099100*d Find the third derivative of -190618*b**3*q**2 - 1482*b**3 + 531553*b**2*q**2 + b**2*q + 3*b**2 - 3*b*q**2 - 11*q wrt b. -1143708*q**2 - 8892 Differentiate 9051979*g**2*n**3 - 8*g**2*n**2 + 92839572*n**3 with respect to g. 18103958*g*n**3 - 16*g*n**2 What is the second derivative of -100546*d**4*w - 2767*d**3*w - 1275*d + 1396*w wrt d? -1206552*d**2*w - 16602*d*w Differentiate 2342*m**3 + m**2 - 623*m + 52703906. 7026*m**2 + 2*m - 623 Find the third derivative of -6071*k**3*p*x + 4*k**3*p - 739*k**3*x + k**2*p - 242*k**2*x + 5*k*p*x - 91*k*x - 2*p - 2*x + 11 wrt k. -36426*p*x + 24*p - 4434*x Find the first derivative of 2*o**2*w - 35*o**2*x - 2*o**2 + 4688557*w*x - 21505*x wrt w. 2*o**2 + 4688557*x Find the first derivative of -4*b*d**2 + 91*b*d + 3114917*b - 716*d**2 - 24*d - 2 wrt d. -8*b*d + 91*b - 1432*d - 24 What is the third derivative of 153415097*b**4 - 105290633*b**2? 3681962328*b Differentiate -4464*c**4 + 24*c**3 - 4*c**2 + 698554. -17856*c**3 + 72*c**2 - 8*c What is the second derivative of 118861219*d**2 + 125347264*d wrt d? 237722438 Differentiate -768*i*j**3 + 8232*i*j**2 + i - 64849617*j**3 + 2*j**2 with respect to i. -768*j**3 + 8232*j**2 + 1 Find the second derivative of -29*a**2*g**2 - 843*a**2*g - 2503*g**3 - 579*g wrt g. -58*a**2 - 15018*g Differentiate -93*a*h**2*k + 3*a*h*k**2 - 126925*a - 3*h**2*k**2 - 66*h**2*k + 19*h*k - 10*k**2 + 48*k wrt a. -93*h**2*k + 3*h*k**2 - 126925 What is the derivative of 1044458781*o**2*u - 3*o**2 + 9358458*o + 2 wrt u? 1044458781*o**2 What is the second derivative of -7724258*n**2 - 2108124*n - 3 wrt n? -15448516 What is the derivative of -2*c**4 - 1263613*c**3 - 26999521? -8*c**3 - 3790839*c**2 Find the first derivative of -28366*s**3 + s**2 - 10*s*x + 213*s + 624760579*x wrt s. -85098*s**2 + 2*s - 10*x + 213 What is the third derivative of 248987573*l**2*o**3 + 22774*l**2*o**2 + l**2*o + l*o**2 - 4*l*o - 23*l - 2*o**2 wrt o? 1493925438*l**2 What is the third derivative of 7*i**4*l + 437*i**4 - i**3*l - 500*i**3 + 39*i**2 - 14923*l wrt i? 168*i*l + 10488*i - 6*l - 3000 What is the derivative of -15*p**3*w + 30*p**3 + 208*p**2*w + 11826338*w wrt p? -45*p**2*w + 90*p**2 + 416*p*w What is the second derivative of 701569774*y**3 + 146411632*y + 1 wrt y? 42
{ "pile_set_name": "DM Mathematics" }
936058*r**3 - 461647260*r**2 + 105694200*r = 0. Calculate r. -37/5, 0, 2/9, 690 Let -4*j**5 - 404*j**4 + 23980*j**3 + 2538260*j**2 + 4900824*j - 7462656 = 0. Calculate j. -96, -82, -3, 1, 79 Solve 2*a**5/7 + 9998*a**4/7 + 475374*a**3/7 + 385402*a**2/7 - 3843104*a/7 - 5584728/7 = 0 for a. -4951, -47, -2, 3 Determine n so that -2*n**2 - 16540*n - 29732378 = 0. -5629, -2641 Find v such that 5*v**5 + 57*v**4 - 26501*v**3 + 15879*v**2 = 0. -79, 0, 3/5, 67 Factor 2*w**3 + 4510*w**2 - 9028*w. 2*w*(w - 2)*(w + 2257) Suppose 4*p**2/7 + 408088*p/7 + 1224228/7 = 0. What is p? -102019, -3 Find b, given that -b**3/2 + 6233*b**2/2 - 6049980*b + 3450328650 = 0. 1013, 2610 Factor n**3 + 3409*n**2 - 706580*n. n*(n - 196)*(n + 3605) Suppose -3*b**3 + 107787*b**2 + 94137615*b + 20310948801 = 0. Calculate b. -429, 36787 Factor 2*u**4 + 312*u**3 - 571032*u**2. 2*u**2*(u - 462)*(u + 618) Factor -57*u**2/5 - 33979632*u/5 + 3576804/5. -3*(u + 596134)*(19*u - 2)/5 Suppose w**3/3 + 605*w**2/3 + 61658*w/3 + 120904/3 = 0. Calculate w. -476, -127, -2 Determine n so that -2*n**2 + 142660682*n + 142660684 = 0. -1, 71330342 What is b in -2*b**5/9 - 127270*b**4/9 - 27017770*b**3/9 + 127270*b**2/9 + 9005924*b/3 = 0? -63422, -213, -1, 0, 1 Factor -2*b**3/3 + 8766*b**2 + 15326334*b + 6309504234. -2*(b - 14751)*(b + 801)**2/3 Factor 2*n**4 + 36097434*n**3 + 162878074624326*n**2 - 162878110721762*n. 2*n*(n - 1)*(n + 9024359)**2 Factor -5*i**2 + 124874665*i + 124874670. -5*(i - 24974934)*(i + 1) Let 4*x**3/3 - 214108*x**2 + 8590385440*x + 1212663656048/3 = 0. What is x? -47, 80314 Factor -3*v**3 - 171*v**2 + 54*v + 55200. -3*(v - 16)*(v + 23)*(v + 50) Determine l so that -l**3/4 - 4489397*l**2/2 - 35915128*l - 143660448 = 0. -8978778, -8 Let 2*b**4/17 + 2048*b**3/17 - 608954*b**2/17 - 21648704*b/17 + 2689224 = 0. Calculate b. -1259, -34, 2, 267 Factor -242*g**3/7 - 1400036*g**2/7 - 2024897522*g/7. -2*g*(11*g + 31819)**2/7 Suppose -p**2/7 + 169760268*p/7 - 7204637147857956/7 = 0. What is p? 84880134 What is u in -4*u**4/3 - 10356232*u**3/3 + 93206320*u**2/3 - 238194104*u/3 + 51781340 = 0? -2589067, 1, 3, 5 Factor -2*z**2 - 11342230*z. -2*z*(z + 5671115) Factor 5*w**2 - 884595*w + 10614420. 5*(w - 176907)*(w - 12) Factor -4*n**3 + 201496*n**2 - 2538144256*n + 15221612544. -4*(n - 25184)**2*(n - 6) Find t, given that -4*t**3 + 357776*t**2 - 7154320*t + 35769600 = 0. 10, 89424 Let -5*f**2/7 + 1583*f/7 - 360 = 0. What is f? 8/5, 315 Let -5*c**2 + 957165*c - 2871450 = 0. What is c? 3, 191430 Suppose -5*y**5 - 6105*y**4 - 2062655*y**3 - 118839855*y**2 - 418577000*y + 1329112500 = 0. What is y? -575, -67, -6, 2 Factor -b**4/3 + 13*b**3/3 - 44*b**2/3 + 32*b/3. -b*(b - 8)*(b - 4)*(b - 1)/3 Determine f, given that -3*f**2/8 + 38673*f/8 + 5834805/4 = 0. -295, 13186 What is x in 20*x**5/3 + 122696*x**4 - 20830636*x**3 + 2531032904*x**2/3 + 3088129968*x + 1098927264 = 0? -18573, -3, -2/5, 86 Find n such that -4*n**2/3 + 351200*n/3 + 22844900/3 = 0. -65, 87865 Let 4*r**4 - 8189244*r**3 + 73702980*r**2 - 221108724*r + 221108616 = 0. Calculate r. 3, 2047302 Factor -w**2 - 20999832*w - 110248236007056. -(w + 10499916)**2 Let 36*w**5 + 4004*w**4 - 42805920*w**3 + 16434997216*w**2 + 20141656128*w + 3663849024 = 0. What is w? -1298, -1, -2/9, 594 Factor -z**2 - 493837*z + 80522000. -(z - 163)*(z + 494000) What is r in -4*r**4 + 6340*r**3 - 940576*r**2 + 33294912*r + 281336832 = 0? -7, 84, 1424 Suppose 99*g**2/5 + 32936*g/5 - 66268/5 = 0. What is g? -33134/99, 2 Let g**2 - 46161*g - 692640 = 0. Calculate g. -15, 46176 Suppose 2*q**5/5 + 17*q**4/5 - 206*q**3/5 + 529*q**2/5 - 258*q/5 - 288/5 = 0. What is q? -16, -1/2, 2, 3 Factor z**4 + 22647*z**3 + 128278251*z**2 + 640825205*z. z*(z + 5)*(z + 11321)**2 Solve -2*a**5/13 - 1574*a**4/13 - 232108*a**3/13 + 32179280*a**2/13 - 30533952*a/13 - 191616768/13 = 0 for a. -436, -2, 3, 84 Find s such that 4*s**3 - 15432*s**2 + 7474880*s = 0. 0, 568, 3290 Solve -578*r**2/3 - 4987188*r - 32273413686 = 0. -220023/17 Factor -2*r**3/3 - 36590*r**2/3 + 1396918*r - 39873894. -2*(r - 57)**2*(r + 18409)/3 Find a, given that 2*a**4 + 3632*a**3 + 423950*a**2 + 2029200*a = 0. -1691, -120, -5, 0 Factor -2*u**3 - 11840*u**2 + 285416*u + 618176. -2*(u - 26)*(u + 2)*(u + 5944) Factor 10*d**4 + 263757775*d**3 + 2318938751805390*d**2 + 6795978528488823865620*d - 3397989843979132853880. 5*(d + 8791926)**3*(2*d - 1) Factor g**2 + 255314*g + 10466193. (g + 41)*(g + 255273) Factor -x**3/12 + 1265893*x**2/12 - 1265890*x/3 + 421963. -(x - 1265889)*(x - 2)**2/12 Factor -2*h**2/9 - 550700*h/9 - 39069454/3. -2*(h + 213)*(h + 275137)/9 Factor 2*t**4/7 - 4412*t**3/7 + 112560*t**2. 2*t**2*(t - 2010)*(t - 196)/7 Let o**5/6 + 569*o**4/6 - 4637*o**3/6 - 12109*o**2/6 + 2318*o/3 + 5770/3 = 0. Calculate o. -577, -2, -1, 1, 10 Determine o so that 4*o**2 - 48010260*o - 48010264 = 0. -1, 12002566 Suppose -100*y**5 - 273920*y**4 - 52256*y**3 + 6919736*y**2 + 17807556*y + 11109384 = 0. Calculate y. -2739, -13/5, -1, 6 What is c in c**3/7 + 758976*c**2/7 - 53133291*c/7 - 53892266/7 = 0? -759046, -1, 71 What is k in k**3 + 279763*k**2 + 19559138291*k - 1076599055455 = 0? -139909, 55 Find y such that 2*y**2/5 - 15228*y/5 + 651106/5 = 0. 43, 7571 Solve -2*d**4 + 56192*d**3 + 1800078*d**2 + 3206772*d - 5063040 = 0 for d. -30, -3, 1, 28128 Let -47*z**5 - 5587*z**4 + 21817*z**3 + 13592103*z**2 + 11832642*z - 1732104 = 0. Calculate z. -81, -1, 6/47, 44 Factor -h**3/5 + 2879*h**2/5 - 1925472*h/5 - 214771968/5. -(h - 1488)**2*(h + 97)/5 Let -c**4 - 602*c**3 + 25684*c**2 + 2408*c - 102720 = 0. Calculate c. -642, -2, 2, 40 What is i in -2*i**4 + 8676*i**3 - 77760*i**2 - 701028*i - 1168830 = 0? -3, 15, 4329 Let -18*o**5/19 + 104404*o**4/19 + 2595054*o**3/19 + 16867952*o**2/19 + 7274208*o/19 - 26841600/19 = 0. Calculate o. -12, -16/9, 1, 5825 Suppose 135*s**4 - 4767*s**3 - 81094*s**2 - 54072*s - 8064 = 0. Calculate s. -12, -7/15, -2/9, 48 Suppose -4*r**3 - 309332*r**2 - 69755804*r - 3938317132 = 0. What is r? -77107, -113 Find v such that v**3/4 - 9237*v**2 - 406629*v/4 + 739180 = 0. -16, 5, 36959 Determine q, given that 3*q**2 + 2533905*q + 7601688 = 0. -844632, -3 Factor -91032544656*q**2 - 42240240*q - 4900. -4*(150858*q + 35)**2 Find i, given that i**5/5 + 770*i**4 + 114792*i**3/5 + 732928*i**2/5 - 391168*i = 0. -3820, -16, 0, 2 Find m, given that 4*m**3/7 - 687060*m**2/7 + 29611812768*m/7 - 9318030095168/7 = 0. 317, 85724 Solve 10*j**4 - 176*j**3 - 78*j**2 + 108*j = 0 for j. -1, 0, 3/5, 18 Factor -3*s**3 - 143943*s**2/2 - 431676060*s - 431640075/2. -3*(s + 11995)**2*(2*s + 1)/2 Factor c**4 - 10681*c**3 + 27121787*c**2 + 7561686517*c. c*(c - 5467)**2*(c + 253) Solve 2*p**4/7 + 958*p**3/7 - 79818*p**2/7 - 1623942*p/7 = 0 for p. -549, -17, 0, 87 Factor -r**2/4 + 65647*r + 262592. -(r - 262592)*(r + 4)/4 Find m such that -5*m**4 - 7755540*m**3 - 4009893379440*m**2 - 691086411110713280*m = 0. -517036, 0 Factor -4*a**4 + 170744*a**3 - 1818163252*a**2 - 83906674992*a - 965966602896. -4*(a - 21366)**2*(a + 23)**2 Solve -4835*o**2 + 159615*o - 1980 = 0. 12/967, 33 Let 3*o**5 + 357*o**4 - 3624*o**3 - 21396*o**2 + 14448*o + 79872 = 0. Calculate o. -128, -4, -2, 2, 13 Determine g, given that -63*g**3 - 168350613*g**2 - 112467967807032*g + 5355617896368 = 0. -1336116, 1/21 Determine t, given that -2*t**2 + 14636*t + 32846638 = 0. -1801, 9119 Find m such that 5*m**5 + 1055*m**4 - 137880*m**3 + 2266660*m**2 - 5850800*m + 3720960 = 0. -306, 1, 2, 16, 76 Suppose -14*g**5/3 - 7663940*g**4/3 - 729894*g**3 + 7663940*g**2/3 + 2189696*g/3 = 0. What is g? -547424, -1, -2/7, 0, 1 Find q, given that -2*q**5 - 836*q**4 - 104594*q**3 - 2074448*q**2 + 216344032*q - 2530350080 = 0. -160, -148, 19 Factor -q**2 - 7337*q. -q*(q + 7337) Suppose -31974*v**4 + 26426*v**3 + 15922*v**2/3 + 722*v/3 = 0. Calculate v. -19/219, 0, 1 Factor 3*z**3 + 25332*z**2 + 55011840*z + 6437683200. 3*(z + 124)*(z + 4160)**2 Find v such that 15*v**3 + 12175*v**2 - 945530*v - 635760 = 0. -883, -2/3, 72 Determine m so that -m**3/7 - 57541*m**2/7 + 2303201*m/7 - 2245659/7 = 0. -57581, 1, 39 Factor g**2 - 12429079*g + 24858154. (g - 12429077)*(g - 2) Factor 54*a**2 - 9741165*a/2 - 135294. 3*(a - 90196)*(36*a + 1)/2 Solve q**5/5 - 22*q**4 - 211*q**3 + 2420*q**2 + 116884
{ "pile_set_name": "DM Mathematics" }
aces? -0.0000004 Let g = -429124.60019 + 429121. Let r = -2.8 - -6.4. Let b = r + g. Round b to four dps. -0.0002 Let z = -0.60799205 + 0.608. What is z rounded to 6 decimal places? 0.000008 Suppose 9 = g - 2*z, -2*z = g + 2*z - 9. Let t(o) = -o**3 + 8*o**2 + 9*o - 8. Let k be t(g). Let s be (-262)/(-4) - 4/k. Round s to the nearest ten. 70 Let y(i) = -7*i + 21. Let h be y(3). Suppose h = -g - 2*k - 34092, 3*k + 48810 = -4*g - 87578. Round g to the nearest ten thousand. -30000 Suppose -3*g - 1938 = -m + 2483, -g - 1467 = m. Let w = -692 - g. What is w rounded to the nearest 100? 800 Suppose f + 4*p = 5*f - 27268176, -2*f = 2*p - 13634068. Let z = f - 3597039. Round z to the nearest 1000000. 3000000 Let w = -11.3304 - -4.1273. Let u = w - -7.2. Round u to four decimal places. -0.0031 Let u = 18.728 + 0.072. Let o = 0.017 - -21.983. Let v = u - o. What is v rounded to 0 dps? -3 Let h = -283.73 + 3.73. Let b = h + 279.999819. Round b to 5 decimal places. -0.00018 Let n = -9894.88962 + 9895. Let g = -0.11 + n. What is g rounded to 4 dps? 0.0004 Let d = -91.8 + -23.2. Let m = d + 200. Let p = m - 82.52. Round p to one decimal place. 2.5 Let o = -14000023 - -14000022.87900098. Let b = 0.121 + o. Round b to seven dps. 0.000001 Suppose a + 150030 = -5*a. Let b be (a - -3) + 4 + -2. What is b rounded to the nearest ten thousand? -30000 Let l = -40475754 - -16293074. Let n = l + 24182656.9999983. Let m = n - -23. Round m to six decimal places. -0.000002 Let o = -4.589999738 + 4.59. Round o to 7 dps. 0.0000003 Let j be -2*3/(9/96). Let r be j/(-3)*(-4 + 15004). What is r rounded to the nearest 100000? 300000 Let q = 931 + -930.999278. Round q to 4 decimal places. 0.0007 Let s = -31597 - -10664. Let m = -20933.20011 - s. Let f = -0.2 - m. Round f to four dps. 0.0001 Let o = 2152.025 - 2180. Let v = 28 + o. Round v to two dps. 0.03 Suppose 6*u - u = -u. Let o be 11/22 - (u + (-599998)/4). What is o rounded to the nearest one hundred thousand? 200000 Let l = 3.07 - 18.27. What is l rounded to the nearest 10? -20 Let s = 161.5 + -158.656. Round s to the nearest integer. 3 Let g = -2.5 - -2.57. Let m = g + -0.06962. What is m rounded to four dps? 0.0004 Let h = 79.0327265425 - 0.0327256425. Let n = h - 79. What is n rounded to 6 decimal places? 0.000001 Let h = 11411 + -7807. What is h rounded to the nearest one hundred? 3600 Let t = -18.75 - -18.73. Let i = 0.01 - -0.0086. Let c = t + i. Round c to 3 dps. -0.001 Let y = -263.57 - -265. Let b = 1.4467 - y. Round b to three dps. 0.017 Let h = -73.3 + 73.0196. What is h rounded to 2 dps? -0.28 Let z = 0.4 + -0.3999875. Round z to six decimal places. 0.000013 Let g = -0.127902595 + 0.1279. Round g to seven decimal places. -0.0000026 Suppose c = -5*c - 24. Let v be 5519994/c - (-24)/(-16). Round v to the nearest one hundred thousand. -1400000 Let l = 341.665 - 341. Round l to one decimal place. 0.7 Let b = 111.2 + -237.95. Let r = b - 0.25. Let x = r - -126.31. What is x rounded to 1 decimal place? -0.7 Let g = -0.52 + -24.48. Let a = g - -24.93. Round a to 1 dp. -0.1 Let g = -439403 - -439725.267. Let x = -322 + g. Round x to two decimal places. 0.27 Suppose 5*c = -4*h + 36, -c - h = -12 + 4. Suppose -c*f = -2*t - 52, -t = 3*f - 3*t - 38. Let d be 6/(-42) + (-34998)/f. Round d to the nearest one thousand. -3000 Let v = 786 - 785.5685. What is v rounded to 2 decimal places? 0.43 Let w = 0.237 - -4.243. What is w rounded to the nearest integer? 4 Let r = 0.0733082103881 + -22074.4833079903881. Let z = -22078.41 - r. Let p = z - -4. What is p rounded to 7 dps? -0.0000002 Let f = -4.461 + 8.087. Round f to 0 dps. 4 Let m = 370987463 + -370987542.9999884. Let d = m + 80. What is d rounded to six decimal places? 0.000012 Let r = -635 + 634.91244. What is r rounded to two decimal places? -0.09 Let s = 80.6 + -44.58. Round s to 0 decimal places. 36 Let z be 25/(125/(-30)) + 115692/(-3). Round z to the nearest 1000. -39000 Let t = -3459.629 - -3454. Round t to one decimal place. -5.6 Let o = -20 - -221. Let v = -128 + o. Let t = -73.0194 + v. Round t to three dps. -0.019 Suppose 7*s - j = 6*s + 7945, -4*s + 31770 = -2*j. Round s to the nearest one hundred. 7900 Let s = 52.4 + -65.9. Round s to the nearest ten. -10 Let f = -0.00945 + -4.28455. Let q = 3.21 + f. Let p = q - -1.1. Round p to 2 dps. 0.02 Let v = 171.5 - 171.499999477. What is v rounded to 7 decimal places? 0.0000005 Let w be -72*((-10)/(-3))/(52/(-24765)). What is w rounded to the nearest 1000? 114000 Let x = 1.65 + -1.436. Let s = -17.586 - x. Round s to 0 dps. -18 Let y = -31449.76999 - -31436.77. Let m = -13 - y. What is m rounded to 4 dps? 0 Let v = 2.1 - 0.1. Let g = 5 - v. Let b = g - 3.00001. Round b to 5 dps. -0.00001 Let w(d) = -d - 9. Let b be w(-4). Let k(s) = -s + s**3 - 11 + 7*s**2 + 7 + 2*s. Let q be k(b). What is q rounded to the nearest ten? 40 Let g = 529653882.38765 + -528708337.37364958. Let q = g + -945545. Let h = q - 0.014. What is h rounded to seven decimal places? 0.0000004 Let q = -0.33 - 0.27. Let z = 89813 - 89813.599995. Let a = q - z. What is a rounded to 5 decimal places? -0.00001 Let d = 0.24 + -2.84. Let n = -11.4 + d. Let r = n - -14.0000044. What is r rounded to 6 dps? 0.000004 Suppose 4 = -2*q + q. Let h be 12/(q + 2)*-1. Let a(z) = 25000*z**2 - 3*z + 18. Let t be a(h). What is t rounded to the nearest one hundred thousand? 900000 Let u = 491.53837045 - 475.53837. Let b = -0.147 + -15.853. Let x = b + u. What is x rounded to 7 decimal places? 0.0000005 Suppose 4*x = 3*t + 28, 2*x + 0 = 2. Let k = t + 11. Let b be (-20694)/k - (5 - 3). Round b to the nearest one thousand. -7000 Let w = 1474405958761189906 - 1474405950496051138.99999647. Let h = w - 8265138316. Let q = 451 - h. What is q rounded to seven decimal places? -0.0000035 Let h = -11.004 + 10.8. Let v = h - -0.204334. Round v to 5 dps. 0.00033 Let c = -1240602664.652998918 + 1240602666. Let m = 1.347 - c. Round m to seven dps. -0.0000011 Suppose -50 = -3*g - 2*r, 3*g - 4 - 58 = -5*r. Let v be 1439998/3 - g/(-21). Round v to the nearest 100000. 500000 Let z(j) = -j**3 + 4*j**2 + 15*j + 5. Let f be z(6). Suppose 19*g + 272000 = f*g. Round g to the nearest 10000. 70000 Let r = 0.2752 + -0.237. Round r to 2 dps. 0.04 Let k = -93683623 - -93678648.8007. Let y = 4973 + k. Let z = 1.2 + y. Round z to 3 decimal places. 0.001 Let w = -1.312 - 0.188. Let y = 20990465 + -20990463.4999989. Let u = w + y. What is u rounded to six decimal places? 0.000001 Let f = -8.367 + 4.309. Round f to one decimal place. -4.1 Let r = -452 + 458.06. Round r to the nearest integer. 6 Let k = 15 - 9. Suppose -k = 3*q, 1999992 = -j + 6*j + 4*q. Round j to the nearest 100000. 400000 Let o(n) = -8*n**3 + 9*n**2 + 54*n - 216. Let t be o(4). Round t to the nearest 10. -370 Suppose 4*s - 5*x + 8*x = -41999991, 5*s + 52499994 = -2*x. What is s rounded to the nearest one million? -11000000 Let r = 742.848 - 737.0480048. Let s = 5.8 - r. What is s rounded to six decimal places? 0.000005 Suppose -17*t - 19712000 = 5*t. What is t rounded to the nearest 10000? -900000 Let p = -29649 + 29651.9006. Let c = 2.9 - p. What is c rounded to four decimal places? -0.0006 Let v = 309 - 295.38. Round v to zero decimal places. 14 Suppose 5*y - r = 2197, -2*r + 8 - 2 = 0. Suppose x - 4237 = -y. Let o be x + -4 + 3 + 4. Round o to the nearest 1000. 4000 Let n = 0.3 + -0.2. Let u = n + -0.099999664. What is u rounded to seven decimal places? 0.0000003 Suppose 0 = 5*g + 5*u - 3404990, -10 = -7*u + 12*u. What is g rounded to the nearest ten thousand? 680000 Let w = 0.59 + -0.5. Let m = 5.09 - w. Let n = -5.0000092 + m. What is n rounded to six decimal places? -0.000009 Let m = 348.04 + -304. Let z = -44 + m. Round z to 1 dp. 0 Let z(b) = -25*b**3 - 5*b**2 + 9*b - 12. Let g be z(5). Let n be g/(-7) + 6/14. Round n to the nearest one hundred. 500 Let v = -37230 + 20590. Let x = v - -16639.992083. Let m = x + 0.008. What is m rounded to 5 decimal places? 0.00008 Let m = -1994697 - 5125303. What is m rounded to the nearest one million? -7000000 Let y = -0.07 + 0. Let l = -158990 + 158990.0700047. Let x = l + y. What is x rounded to six decimal places? 0.000005 Let h = -432.9634 + 433. Let x = h + 2.9334. Round x to 0 decima
{ "pile_set_name": "DM Mathematics" }
16756947? p + 16756942 What is the j'th term of 953, 957, 959, 959, 957, 953? -j**2 + 7*j + 947 What is the b'th term of 32647, 32708, 32801, 32920, 33059, 33212, 33373, 33536? -b**3 + 22*b**2 + 2*b + 32624 What is the s'th term of -173886, -347773, -521660, -695547? -173887*s + 1 What is the a'th term of -1439, -2482, -3525, -4568, -5611, -6654? -1043*a - 396 What is the z'th term of -705, -598, -287, 336, 1379? 18*z**3 - 6*z**2 - z - 716 What is the x'th term of 3480804, 6961610, 10442416? 3480806*x - 2 What is the i'th term of -713, -1424, -2135, -2846, -3557? -711*i - 2 What is the y'th term of -4676, -18858, -42496, -75590? -4728*y**2 + 2*y + 50 What is the s'th term of -63, -79, -105, -141, -187, -243? -5*s**2 - s - 57 What is the l'th term of 69, -91, -245, -393, -535? 3*l**2 - 169*l + 235 What is the c'th term of -3725, -7445, -11163, -14879, -18593, -22305? c**2 - 3723*c - 3 What is the t'th term of 47838, 95686, 143534, 191382, 239230? 47848*t - 10 What is the a'th term of -39895, -79790, -119685? -39895*a What is the t'th term of 28, -11, -40, -29, 52? 5*t**3 - 25*t**2 + t + 47 What is the t'th term of 325, 328, 333, 340, 349? t**2 + 324 What is the v'th term of -3181, -6360, -9539, -12718? -3179*v - 2 What is the r'th term of 3371, 3476, 3659, 3926, 4283, 4736, 5291, 5954? r**3 + 33*r**2 - r + 3338 What is the i'th term of -4748, -9562, -14390, -19238, -24112, -29018? -i**3 - i**2 - 4804*i + 58 What is the r'th term of -2166, -2173, -2194, -2235, -2302? -r**3 - r**2 + 3*r - 2167 What is the z'th term of 9063, 9065, 9067? 2*z + 9061 What is the b'th term of -18, -51, -106, -183, -282, -403, -546? -11*b**2 - 7 What is the q'th term of -18890, -18934, -18980, -19028, -19078, -19130, -19184? -q**2 - 41*q - 18848 What is the c'th term of -341, -357, -407, -509, -681, -941? -3*c**3 + c**2 + 2*c - 341 What is the q'th term of 31750, 31752, 31748, 31732, 31698, 31640, 31552? -q**3 + 3*q**2 + 31748 What is the b'th term of 984, 1222, 1460, 1698, 1936? 238*b + 746 What is the r'th term of 1741, 3509, 5301, 7117? 12*r**2 + 1732*r - 3 What is the c'th term of -245238, -490476, -735714, -980952, -1226190, -1471428? -245238*c What is the z'th term of -7091, -7079, -7067, -7055? 12*z - 7103 What is the b'th term of 6056, 6046, 6030, 6008, 5980, 5946? -3*b**2 - b + 6060 What is the y'th term of -64, -41, -2, 59, 148, 271, 434, 643? y**3 + 2*y**2 + 10*y - 77 What is the t'th term of -487, -1450, -2413, -3376? -963*t + 476 What is the c'th term of 665, 686, 721, 770, 833? 7*c**2 + 658 What is the r'th term of 15554, 15539, 15524, 15509? -15*r + 15569 What is the g'th term of 27767, 27632, 27497, 27362, 27227? -135*g + 27902 What is the h'th term of 184, 1248, 4082, 9574, 18612? 148*h**3 - 3*h**2 + 37*h + 2 What is the t'th term of 15322, 15335, 15354, 15379, 15410? 3*t**2 + 4*t + 15315 What is the r'th term of 29946, 29907, 29868, 29829, 29790? -39*r + 29985 What is the b'th term of -35907, -35906, -35905, -35904, -35903? b - 35908 What is the f'th term of 7051, 7048, 7045? -3*f + 7054 What is the o'th term of -3099, -6125, -9007, -11673, -14051, -16069, -17655? 12*o**3 - 3110*o - 1 What is the f'th term of -13675, -27387, -41099, -54811? -13712*f + 37 What is the s'th term of 1282, 1213, 1142, 1069? -s**2 - 66*s + 1349 What is the x'th term of 118, 420, 902, 1552, 2358, 3308? -2*x**3 + 102*x**2 + 10*x + 8 What is the y'th term of -507193, -1014402, -1521621, -2028856, -2536113? -y**3 + y**2 - 507205*y + 12 What is the p'th term of 575, 555, 517, 455, 363, 235, 65? -p**3 - 3*p**2 - 4*p + 583 What is the z'th term of 1286, 2556, 3818, 5072, 6318? -4*z**2 + 1282*z + 8 What is the s'th term of 1528, 6024, 13478, 23872, 37188? -3*s**3 + 1497*s**2 + 26*s + 8 What is the i'th term of 259447, 259446, 259445, 259444, 259443? -i + 259448 What is the s'th term of -133566, -267132, -400698, -534264? -133566*s What is the g'th term of 835, 1773, 2711? 938*g - 103 What is the o'th term of -221237, -221235, -221233, -221231, -221229? 2*o - 221239 What is the m'th term of -4028, -10724, -21888, -37526, -57644? -m**3 - 2228*m**2 - 5*m - 1794 What is the x'th term of -110, -218, -354, -536, -782, -1110, -1538? -3*x**3 + 4*x**2 - 99*x - 12 What is the p'th term of -514336, -514338, -514340, -514342, -514344? -2*p - 514334 What is the x'th term of 5709, 5758, 5889, 6144, 6565? 7*x**3 - x**2 + 3*x + 5700 What is the k'th term of -90906, -90904, -90902? 2*k - 90908 What is the n'th term of -959, -1944, -2943, -3962, -5007, -6084, -7199, -8358? -n**3 - n**2 - 975*n + 18 What is the p'th term of -2424, -1817, -176, 3015, 8272, 16111, 27048? 86*p**3 + p**2 + 2*p - 2513 What is the x'th term of 1511, 1506, 1501? -5*x + 1516 What is the s'th term of 36, 45, 56, 69, 84, 101, 120? s**2 + 6*s + 29 What is the g'th term of 58455, 58453, 58451, 58449? -2*g + 58457 What is the t'th term of -43406, -86812, -130222, -173636? -2*t**2 - 43400*t - 4 What is the g'th term of 150546, 602443, 1355612, 2410059, 3765790? g**3 + 150630*g**2 - 85 What is the u'th term of -2639, -2628, -2567, -2432, -2199? 4*u**3 + u**2 - 20*u - 2624 What is the a'th term of -59, -73, -81, -83, -79, -69, -53? 3*a**2 - 23*a - 39 What is the l'th term of 13607, 13604, 13603, 13604, 13607? l**2 - 6*l + 13612 What is the u'th term of 781, 1744, 2707, 3670, 4633, 5596? 963*u - 182 What is the x'th term of 4, -7, -72, -227, -508, -951? -6*x**3 + 9*x**2 + 4*x - 3 What is the b'th term of -28062, -28059, -28054, -28047, -28038? b**2 - 28063 What is the t'th term of -198, -1040, -3248, -7506, -14498? -114*t**3 + t**2 - 47*t - 38 What is the x'th term of -6158, -12322, -18486, -24650? -6164*x + 6 What is the r'th term of 70813, 70811, 70809, 70807, 70805? -2*r + 70815 What is the w'th term of 20887, 41771, 62655? 20884*w + 3 What is the a'th term of -60841, -121679, -182515, -243349, -304181, -365011? a**2 - 60841*a - 1 What is the m'th term of 5942, 5847, 5684, 5453, 5154, 4787? -34*m**2 + 7*m + 5969 What is the v'th term of -34956, -34991, -35038, -35103, -35192, -35311, -35466? -v**3 - 28*v - 34927 What is the x'th term of -45906, -91828, -137750, -183672, -229594, -275516? -45922*x + 16 What is the g'th term of 422, 1273, 2684, 4649, 7162, 10217, 13808? -g**3 + 286*g**2 + 137 What is the p'th term of 571, 844, 1101, 1336, 1543, 1716, 1849, 1936? -p**3 - 2*p**2 + 286*p + 288 What is the r'th term of -20, 14, 110, 280, 536, 890, 1354, 1940? 2*r**3 + 19*r**2 - 37*r - 4 What is the a'th term of 7157, 6918, 6679, 6440, 6201, 5962? -239*a + 7396 What is the u'th term of -121479, -242962, -364445, -485928, -607411, -728894? -121483*u + 4 What is the y'th term of 90017, 90009, 89987, 89945, 89877, 89777, 89639? -y**3 - y**2 + 2*y + 90017 What is the k'th term of 29787, 29763, 29733, 29697, 29655? -3*k**2 - 15*k + 29805 What is the y'th term of 642, 709, 830, 1011, 1258, 1577, 1974? y**3 + 21*y**2 - 3*y + 623 What is the i'th term of -26422, -26318, -26214, -26110? 104*i - 26526 What is the v'th term of 75, 97, 133, 189, 271? v**3 + v**2 + 12*v + 61 What is the d'th term of 2150, 2221, 2310, 2417? 9*d**2 + 44*d + 2097 What is the u'th term of -61, -174, -357, -610, -933, -1326? -35*u**2 - 8*u - 18 What is the k'th term of 1428, 2742, 4070, 5418, 6792? k**3 + k**2 + 1304*k + 122 What is the a'th term of -2019, -2338, -2655, -2970, -3283, -3594? a**2 - 322*a - 1698 What is the c'th term of 3855, 3883, 3911, 3939? 28*c + 3827 What is the t'th term of 4683, 4443, 4203, 3963? -240*t + 4923 What is the y'th term of -622859, -1245718, -1868577, -2491436, -3114295, -3737154? -622859*y What is the t'th term of 131, 144, 153, 146, 111, 36, -91? -2*t**3 + 10*t**2 - 3*t + 126 What is the s'th term of -530, -1152, -1774, -2396, -3018, -3640? -622*s + 92 What is the g'th term of -819, -1668, -2517? -849*g + 30 What is the h'th term of -769, -1473, -2173, -2875, -3585, -4309, -5053? -h**3 + 8*h**2 - 721*h - 55 What is the h'th term of 38, 193, 458, 833? 55*h**2 - 10*h - 7 What is the b'th term of -1245, -2381, -3503, -4605, -5681, -6725, -7731? b**3 + b**2 - 1146*b - 101 What is the k'th term of -124322, -248643, -372964, -497285, -621606? -124321*k - 1 What is the x'th term of 1453723, 1453724, 1453725, 1453726? x + 1453722 What is
{ "pile_set_name": "DM Mathematics" }
e prime factors of 131854224? 2, 3, 19, 144577 List the prime factors of 42763800. 2, 3, 5, 263, 271 List the prime factors of 5671031674. 2, 7, 11, 239, 154079 What are the prime factors of 158420128? 2, 4950629 List the prime factors of 38324558. 2, 19, 1008541 What are the prime factors of 121174199? 677, 178987 What are the prime factors of 1162859690? 2, 5, 29, 4009861 What are the prime factors of 197734937? 131, 1509427 List the prime factors of 4388569540. 2, 5, 47, 4668691 List the prime factors of 47514542. 2, 691, 34381 List the prime factors of 2265785281. 61, 37144021 List the prime factors of 48845783. 7, 6977969 List the prime factors of 492192744. 2, 3, 97, 113, 1871 List the prime factors of 1439372295. 3, 5, 2207, 4831 List the prime factors of 378115086. 2, 3, 19, 3316799 List the prime factors of 31131185. 5, 1847, 3371 List the prime factors of 451404973. 79, 373, 15319 List the prime factors of 70097507. 70097507 List the prime factors of 822118666. 2, 411059333 What are the prime factors of 664652496? 2, 3, 191, 72497 List the prime factors of 1186629613. 13, 89, 78893 What are the prime factors of 654198167? 7, 97, 137639 What are the prime factors of 1071343215? 3, 5, 19, 773, 1621 List the prime factors of 660489665. 5, 11, 12008903 What are the prime factors of 4056466151? 4056466151 What are the prime factors of 1042081854? 2, 3, 11, 1259, 12541 What are the prime factors of 122335495? 5, 113, 216523 What are the prime factors of 1765428063? 3, 7, 84068003 List the prime factors of 3884259658. 2, 97, 191, 104827 What are the prime factors of 1080137709? 3, 7, 1297, 13219 List the prime factors of 34043247. 3, 7, 60041 What are the prime factors of 2197637? 13, 169049 What are the prime factors of 184313948? 2, 7, 13, 506357 What are the prime factors of 64952012? 2, 233, 69691 List the prime factors of 707915130. 2, 3, 5, 13, 751, 2417 What are the prime factors of 19246272? 2, 3, 59, 1699 List the prime factors of 84101551. 223, 377137 List the prime factors of 4477024121. 7753, 577457 List the prime factors of 3315041028. 2, 3, 13, 89, 79589 What are the prime factors of 539934688? 2, 17, 31, 101, 317 List the prime factors of 1853272959. 3, 2767, 223259 List the prime factors of 2066647765. 5, 7, 13, 19, 37, 71 What are the prime factors of 32290836? 2, 3, 997, 2699 List the prime factors of 71151248. 2, 7, 635279 List the prime factors of 869364498. 2, 3, 144894083 What are the prime factors of 1796454917? 1796454917 List the prime factors of 50929690. 2, 5, 7, 19, 149, 257 What are the prime factors of 4801640? 2, 5, 120041 What are the prime factors of 103009618? 2, 47, 1095847 What are the prime factors of 417128023? 13, 23, 1395077 What are the prime factors of 127341505? 5, 83, 306847 What are the prime factors of 308207557? 7, 269, 163679 What are the prime factors of 129919379? 129919379 What are the prime factors of 384980538? 2, 3, 17, 73, 149, 347 List the prime factors of 180258715. 5, 7, 13, 396173 List the prime factors of 21763451. 17, 23, 55661 List the prime factors of 56845179. 3, 2105377 List the prime factors of 367847603. 137, 2685019 List the prime factors of 13825667. 13825667 What are the prime factors of 1152901379? 7, 8377, 19661 List the prime factors of 57673837. 13, 29, 152981 List the prime factors of 161015519. 7, 19, 31, 797 What are the prime factors of 22579203? 3, 127, 59263 List the prime factors of 40956554. 2, 43, 89, 5351 List the prime factors of 958317793. 23, 73, 131, 4357 What are the prime factors of 142230521? 9337, 15233 List the prime factors of 1766397755. 5, 59, 5987789 List the prime factors of 2390058230. 2, 5, 7, 34143689 List the prime factors of 88529179. 439, 201661 List the prime factors of 1408083430. 2, 5, 13, 401, 27011 List the prime factors of 176728786. 2, 13, 6797261 List the prime factors of 662895980. 2, 5, 33144799 What are the prime factors of 493279? 493279 What are the prime factors of 298229059? 298229059 List the prime factors of 23921284. 2, 5980321 List the prime factors of 1639423775. 5, 11, 113, 52757 What are the prime factors of 40323718? 2, 20161859 What are the prime factors of 232759529? 17, 13691737 What are the prime factors of 5372401? 5372401 What are the prime factors of 809575554? 2, 3, 134929259 List the prime factors of 2586713682. 2, 3, 7, 73, 843677 What are the prime factors of 1563181027? 1563181027 List the prime factors of 95411798. 2, 29, 127, 12953 List the prime factors of 1096218254. 2, 3373, 162499 What are the prime factors of 241620712? 2, 30202589 What are the prime factors of 436019485? 5, 11, 17, 466331 What are the prime factors of 2218758170? 2, 5, 221875817 What are the prime factors of 42702213? 3, 97, 146743 List the prime factors of 40158347. 40158347 What are the prime factors of 5889241741? 5889241741 What are the prime factors of 113763991? 11, 10342181 What are the prime factors of 77758878? 2, 3, 41, 43, 7351 What are the prime factors of 681921972? 2, 3, 661, 28657 List the prime factors of 46857901. 109, 429889 What are the prime factors of 4608821904? 2, 3, 757, 126839 List the prime factors of 3071813482. 2, 37, 41510993 What are the prime factors of 3610482328? 2, 1163, 388057 List the prime factors of 2497565980. 2, 5, 7, 13, 383, 3583 List the prime factors of 35168242. 2, 23, 29, 41, 643 List the prime factors of 87851141. 7, 887, 14149 List the prime factors of 261955622. 2, 19, 661, 10429 List the prime factors of 857063004. 2, 3, 7, 463, 22037 List the prime factors of 445337765. 5, 1901, 46853 List the prime factors of 1206348364. 2, 13, 89, 20051 List the prime factors of 13633531. 13633531 What are the prime factors of 572133150? 2, 3, 5, 349, 3643 What are the prime factors of 207404524? 2, 23, 641, 3517 What are the prime factors of 348738601? 29, 12025469 List the prime factors of 1987095944. 2, 1487, 167039 What are the prime factors of 46157914? 2, 11, 457, 4591 What are the prime factors of 287045995? 5, 57409199 List the prime factors of 74835947. 41, 53, 34439 What are the prime factors of 26015644? 2, 17, 382583 What are the prime factors of 2122938530? 2, 5, 212293853 List the prime factors of 37526548. 2, 17, 551861 List the prime factors of 482024322. 2, 3, 13, 2059933 What are the prime factors of 87054682? 2, 11, 13, 79, 3853 What are the prime factors of 433300052? 2, 2797, 38729 What are the prime factors of 760734603? 3, 509, 166063 What are the prime factors of 28893336? 2, 3, 17, 23, 3079 List the prime factors of 171986643. 3, 53, 6803 What are the prime factors of 583474718? 2, 23, 59, 214987 What are the prime factors of 415871208? 2, 3, 5775989 What are the prime factors of 2420790777? 3, 151, 443, 4021 What are the prime factors of 127758949? 29, 61, 72221 What are the prime factors of 287015802? 2, 3, 2267, 21101 List the prime factors of 7781898. 2, 3, 1296983 What are the prime factors of 149493341? 251, 601, 991 What are the prime factors of 6790129679? 41, 165612919 What are the prime factors of 117846070? 2, 5, 857, 13751 List the prime factors of 450710995. 5, 7, 491, 26227 List the prime factors of 57794031. 3, 6421559 List the prime factors of 454408726. 2, 31, 7329173 What are the prime factors of 573880443? 3, 191293481 What are the prime factors of 58729593? 3, 13, 31, 1567 What are the prime factors of 550041896? 2, 41, 43, 59, 661 List the prime factors of 23221007. 23, 1009609 What are the prime factors of 875831415? 3, 5, 17, 3434633 List the prime factors of 4283528. 2, 277, 1933 List the prime factors of 2106174566. 2, 59, 17848937 List the prime factors of 1138942273. 7, 283, 574933 What are the prime factors of 391013325? 3, 5, 193093 List the prime factors of 4781476374. 2, 3, 1423, 560023 What are the prime factors of 62842487? 31, 2027177 What are the prime factors of 330745343? 919, 359897 What are the prime factors of 412319390? 2, 5, 7, 23, 29, 8831 What are the prime factors of 3499605224? 2, 43, 139, 73189 List the prime factors of 3420537463. 7, 41, 131, 317 List the prime factors of 1619648254. 2, 7, 16527023 List the prime factors of 36474872. 2, 7, 23, 28319 What are the prime factors of 146468618? 2, 29, 137, 18433 What are t
{ "pile_set_name": "DM Mathematics" }
13 + -5? -121 In base 14, what is 3b - a? 31 In base 12, what is -8b - -8? -83 In base 6, what is 45 - -13? 102 In base 10, what is 385 + 2? 387 In base 16, what is -289 - 0? -289 In base 3, what is 1202221220 + 10? 1202222000 In base 6, what is 3311 - 1? 3310 In base 14, what is 6 + 1c53? 1c59 In base 8, what is 151 - -2? 153 In base 12, what is 9 - 59? -50 In base 15, what is -bb9 - 4? -bbd In base 11, what is -2 + 28? 26 In base 13, what is 0 - -49a? 49a In base 11, what is -90 - 4? -94 In base 16, what is -2 + -1eb? -1ed In base 8, what is -1 + 155? 154 In base 5, what is 0 + 232? 232 In base 10, what is 6 + -136? -130 In base 7, what is 0 - -252? 252 In base 3, what is -10 + 210002? 202222 In base 11, what is 18 - -43? 60 In base 14, what is 5 + 34? 39 In base 4, what is -2 - 22111? -22113 In base 14, what is -50 + 10? -40 In base 14, what is b0 - 4? aa In base 11, what is 271 + -4? 268 In base 4, what is 11 - -200211? 200222 In base 10, what is -257 + -5? -262 In base 10, what is -1 - -29? 28 In base 5, what is 0 + -12? -12 In base 12, what is -123 + -4? -127 In base 3, what is -12 - -1111? 1022 In base 10, what is -17 + 4? -13 In base 12, what is 17 - 13? 4 In base 2, what is -10001 + 10010001? 10000000 In base 6, what is 11 + -1101? -1050 In base 16, what is 0 - 4? -4 In base 3, what is -1112 - -10010? 1121 In base 16, what is 23 + c? 2f In base 13, what is -5995 - 4? -5999 In base 9, what is -3 + -1101? -1104 In base 9, what is -2 + 1578? 1576 In base 6, what is 2 + 2334? 2340 In base 11, what is 1613 - 4? 160a In base 4, what is 2 - 1111133? -1111131 In base 10, what is -1 - -44? 43 In base 7, what is 535 + 6? 544 In base 13, what is -c + -1ba? -1c9 In base 2, what is 10101 - -1001010? 1011111 In base 4, what is 13 - 3311? -3232 In base 4, what is -2003 - 11? -2020 In base 13, what is 3 + 26? 29 In base 5, what is 2032 + 1? 2033 In base 2, what is -10 - 11111011? -11111101 In base 11, what is -11 - -23? 12 In base 10, what is 0 - 38? -38 In base 7, what is -4 + -12060? -12064 In base 12, what is -7 + 222? 217 In base 12, what is -215 + 3? -212 In base 4, what is 101020 - 3? 101011 In base 3, what is -10101 + 1102? -1222 In base 15, what is 5 + b8? bd In base 10, what is -79 + 0? -79 In base 9, what is -360 + -1? -361 In base 10, what is 104 + 7? 111 In base 8, what is 267 + 4? 273 In base 6, what is -3 - 4350? -4353 In base 12, what is 2 + 1224? 1226 In base 8, what is 2 + 150? 152 In base 7, what is -21 + 41? 20 In base 2, what is 1101101001 - -10001? 1101111010 In base 8, what is 0 + -65? -65 In base 15, what is -1 - -79e? 79d In base 7, what is -4 + 14411? 14404 In base 16, what is -18c7 - -5? -18c2 In base 5, what is 1142 - -3? 1200 In base 11, what is 410 - 15? 3a6 In base 11, what is -3a99 + 3? -3a96 In base 14, what is 3 + d13? d16 In base 8, what is 0 + -122? -122 In base 12, what is b - -10? 1b In base 5, what is 14 + -2? 12 In base 3, what is -1212 - 0? -1212 In base 12, what is -2a + -15? -43 In base 11, what is -15 + 27? 12 In base 15, what is 2 - -64? 66 In base 16, what is -2 + b? 9 In base 7, what is 424 + 1? 425 In base 3, what is 12112 + 12? 12201 In base 4, what is 221310 - 3? 221301 In base 11, what is -32 + -568? -59a In base 2, what is -11 - 1111010? -1111101 In base 3, what is -111200 - 11? -111211 In base 7, what is 255 + 1? 256 In base 4, what is -10 - -112? 102 In base 11, what is 3 - 76? -73 In base 6, what is 1015 - -13? 1032 In base 7, what is -1102 - -5? -1064 In base 16, what is -8 - -113? 10b In base 8, what is 4054 + -4? 4050 In base 8, what is 1313 - -3? 1316 In base 10, what is -9331 + 2? -9329 In base 3, what is 2 - -20100? 20102 In base 12, what is 69 + 4? 71 In base 12, what is 0 - 1162? -1162 In base 16, what is 29 - 12? 17 In base 13, what is -c1 + 2a? -94 In base 8, what is 5 + 2733? 2740 In base 11, what is -48 + -5? -52 In base 14, what is 0 + -1484? -1484 In base 15, what is -67 - 1? -68 In base 5, what is -434 + 1? -433 In base 13, what is -1c - 47? -66 In base 3, what is -1002 - -2? -1000 In base 15, what is -1a - -52? 37 In base 13, what is -18bc + -4? -18c3 In base 12, what is -2 - -1b? 19 In base 14, what is -d27 - 0? -d27 In base 14, what is -bb + 5? -b6 In base 12, what is 4 + 97? 9b In base 2, what is -111111 - 11110? -1011101 In base 7, what is -10466 - -11? -10455 In base 6, what is -5 + 335? 330 In base 11, what is -46 + 5? -41 In base 9, what is 11080 + -3? 11076 In base 10, what is -40 - -41? 1 In base 7, what is 13 - -66? 112 In base 11, what is -20a7 - 3? -20aa In base 7, what is -1 + -16045? -16046 In base 15, what is a6 - 4? a2 In base 3, what is -112000 - 12? -112012 In base 9, what is 1 - 58? -57 In base 8, what is -1106 - -12? -1074 In base 14, what is 2 + 19b? 19d In base 5, what is 22220 + -3? 22212 In base 11, what is 2 - 270? -269 In base 5, what is -20 + -140? -210 In base 6, what is 21 - 3? 14 In base 6, what is -225 + -3? -232 In base 10, what is 80 + 14? 94 In base 5, what is 3 + 2142? 2200 In base 12, what is 554 + -4? 550 In base 10, what is 9 - -488? 497 In base 9, what is -1 + -76? -77 In base 5, what is 134 + -12? 122 In base 12, what is 43 - 44? -1 In base 11, what is 4 + -122? -119 In base 5, what is 2040 - 3? 2032 In base 15, what is -33 - -107? c4 In base 9, what is 407 + 5? 413 In base 2, what is -1011 - 1000110? -1010001 In base 6, what is 3051 - -4? 3055 In base 4, what is -1013 + 3? -1010 In base 11, what is 12512 + 4? 12516 In base 3, what is 1020 - -11? 1101 In base 6, what is -432013 + 0? -432013 In base 15, what is -2 - -5e2? 5e0 In base 10, what is 1955 - 4? 1951 In base 9, what is -70 + -3? -73 In base 14, what is a97 - -7? aa0 In base 8, what is -5 - -606? 601 In base 6, what is -424 + 1? -423 In base 14, what is 4 - 10? -a In base 14, what is 1 - -46d? 470 In base 2, what is 1110001 - -10011? 10000100 In base 15, what is -22 + -14? -36 In base 16, what is -45b3 - -4? -45af In base 3, what is 0 - -1220? 1220 In base 8, what is 0 + 174? 174 In base 5, what is -3331 + 0? -3331 In base 8, what is -1776 + 3? -1773 In base 9, what is 0 - 270? -270 In base 7, what is 24 - 5? 16 In base 5, what is 1 + 202332? 202333 In base 4, what is -32 - 1022? -1120 In base 2, what is -1100 + -101110110? -110000010 In base 13, what is 216 - 2? 214 In base 14, what is -2 + -13? -15 In base 2, what is -1000000 + -1000101? -10000101 In base 10, what is -165 - -39? -126 In base 16, what is -46 + -c? -52 In base 10, what is 1573 + 1? 1574 In base 6, what is 3 - -1132? 1135 In base 6, what is 10 - -2214? 2224 In base 5, what is -10042 + 11? -10031 In base 7, what is -4 - -15? 11 In base 15, what is -4 - 1b41? -1b45 In base 11, what is -2890 - 2? -2892 In base 5, what is 100311 + -10? 100301 In base 8, what is -2111 - 16? -2127 In base 3, what is 1000 - 100012? -22012 In base 14, what is 11 + -16? -5 In base 16, what is 5 - -15? 1a In base 2, what is -101 + 1010011000? 1010010011 In base 10, what is -1610 - 13? -1623 In base 15, what is 35b + -11? 34a In base 16, what is 15 - -4? 19 In base 12, what is -10 + -136? -146 In base 8, what is -1 - -1760? 1757 In base 8, what is 3 + 1641? 1644 In base 5, what is 30110 + -10? 30100 In base 11, what is -2 - 3? -5 In base 3, what is 2 + -102? -100 In base 3, what is -101 + -2212022? -2212200 In base 4, what is -2 + -1120? -1122 In base 15, what is -24 - -13c? 118 In base 11, what is 73 + 339? 401 In base 11, what is -173 + 2? -171 In base 9, what is 0 + 180? 180 In base 10, what is -23 - 44? -67 In base 14, what is 1 + 1a? 1b In base 16, what is -107 - 0? -107 In base 6, what is 53 - -1? 54 In base 7, what is 310 - -2? 312 In base 6, what is 105 - -14? 123 In base 16, what is -190 - -1d? -173 In base 12, what is 3 + -27? -24 In base 3, what is 22222 + -12? 22210 In base 11, what is -1a - -2a? 10 In base 7, what is -3 - -1140? 1134 In base 12, what is -19 + 24? 7 In base 2, what is 100 - 101100001000? -101100000100 In base 16, what is -3 + 20b? 208 In base 6, what is 1014 - -5? 1023 In base 3, what is 11 - -1120000? 1120011 In base 3, what is -1 + -2001100? -2001101 In base 10, what is -10 - -2? -8 In base 12, what is 82 - 1? 81 In base 14, what is 3 - -3d5? 3d8 In base 16, what is 6 - 17? -11 In base 7, what is 20206 + 1? 202
{ "pile_set_name": "DM Mathematics" }
s + s = -w for s. 4 Let u(q) = q + 10. Let t be u(-3). Suppose 5*w + t = 4*w. Let s be 7/w*4/(-2). Solve -5*l + 12 = -s*l for l. 4 Let w = 912 + -909. Solve -w*q = -7*q - 12 for q. -3 Suppose 0 = -3*c + 2*c + 5. Suppose -d - 15 = 5*t + c, 5*d + 4 = -t. Let z(v) = -v**3 - 40*v - 204. Let y be z(-4). Solve d*j = -4*j - y for j. -5 Suppose 5*i + 2*h - 3*h - 5 = 0, 0 = -5*h - 25. Suppose -100*v = -99*v - 2. Suppose -p = -2*p - 3*d + 6, i = -v*d. Solve -2*t + p = -0*t for t. 3 Suppose r - 11 = -12*z + 10*z, 0 = -4*z + 5*r - 13. Solve 8 = -z*g + 23 for g. 5 Let w(r) = -4*r**2 - 74*r - 30. Let t be w(-18). Solve t*b - 36 + 12 = 0 for b. 4 Suppose 6*s - 330 = 11*s. Let b be 20/35 + s/(-7). Solve l = -l - b for l. -5 Let u be ((-1)/(-5) + 1)*4800/360. Solve -7*b - 5 - u = 0 for b. -3 Let r be -1 - (-5)/(20/24). Suppose -r*k = s - 26, -3*k + 5*s = -0*s - 10. Suppose 25 = 3*w - k*j, -3*j + 5 = -4*j. Solve -6*m + 2*m - 20 = w for m. -5 Let l be 4/(-10) + 22/5. Let m = -2352 - -2355. Solve m*w = -2 - l for w. -2 Let s = -414 - -418. Solve 0 = -s*n + n - 15 for n. -5 Let v be ((-2)/(-4))/(6/60). Suppose -r + 14 = v. Solve -u = -4*u + r for u. 3 Let t be (-3 + 0 - -3) + 1. Let n be (20/(-8) + t)/((-3)/8). Suppose 4*a + 5 = 5*a. Solve n*j - 1 + a = 0 for j. -1 Let r be (-6)/(-4)*(-8)/(-6). Let z(g) = g + 20. Let c be z(-7). Suppose -7*x + c + 15 = 0. Solve -r*f - 12 = -x for f. -4 Suppose 5*w - 46 = -5*n + 44, 0 = 3*w + 5*n - 52. Let s be ((-6)/(-9)*-3)/(-1). Suppose 0 = 4*f + 5*r - 14 - w, -s*r = 4*f - 18. Solve f*o + 3*o = 0 for o. 0 Suppose 70 = -2*f - 2*i - 2*i, 2*f + i + 55 = 0. Let z be (-210)/f + 6/(-15). Let v be (-6 + z)/(0 + 1). Solve 0*y - v*y = 6 for y. -3 Let n(j) = -j**3 + 3*j**2 + j - 3. Let y be n(3). Let l = y - 6. Let x be (1 - l - 1) + 1. Solve -3*p + x*p = 4 for p. 1 Suppose -2*g - 3*t = -332, 2*g - 5*t + 2*t = 308. Suppose -56 = 8*y - g. Solve y*k = 14*k for k. 0 Let o(t) = t**3 - 3*t**2 + t - 3. Let z = 12 - 1. Suppose 0 = -2*d - 3*d + b + 11, -3*d = -5*b + z. Let r be o(d). Solve r = -4*v - v for v. 0 Suppose -14 = 3*r - 20. Suppose 0 = 2*v + r, -6*f + 3*f + 20 = -2*v. Solve -f = 2*i - 4*i for i. 3 Let w be (-9)/(27/(-30))*-1. Let r(n) = 2*n**2 + 20*n + 12. Let d be r(w). Suppose -24 = -2*b - 5*y + y, 2*y = b - d. Solve f - 4*f = b for f. -4 Suppose 4*l - 5*y - 25 = 0, -2*y = 2*l + 3*y - 5. Let w(a) = a**3 - a - 2. Suppose 5*k + 2 = 12. Let d be w(k). Solve 2 = d*g - l*g for g. -2 Suppose 6*v = v + 200. Suppose -h - v = -4*g - 5*h, 0 = -g + 5*h - 20. Suppose 0 = -0*u + 3*u + 5*d + 3, 4*d + 32 = g*u. Solve -i + 5 = u*i for i. 1 Let i = 35 + -27. Solve 20*l + i = 18*l for l. -4 Let p = 1 + -2. Suppose -m - 4 = -0. Let z = p - m. Solve -z = -5*r + 2 for r. 1 Suppose 6 = 39*v - 72. Let s be 4/(-22) - (-448)/44. Solve -v*x + 7*x = -s for x. -2 Let o be (-60)/(-36)*36/10. Let m(p) = -6*p + 38. Let w be m(o). Solve g + w*g = -15 for g. -5 Let d(x) = x**2 - 4*x + 2. Let j be (-14)/(-3) - 12/18. Let f be d(j). Suppose 8 - f = b. Solve a - b = -a for a. 3 Let x be 2*(7 + 0 - -1). Let k = x + -2. Suppose -2*d = 12 - 16. Solve 0 = 4*a - k + d for a. 3 Let x be (2 - -2)*(-45)/(-36). Suppose -4*m - 2*d + 18 = 0, 0 = 4*d + 15 - 35. Let c be (m/6)/(1/21). Solve 0 = x*o + c + 8 for o. -3 Let s(c) = 8*c - 39. Let o be s(5). Solve -3*u + 4*u = -o for u. -1 Suppose 12*w = 60 - 12. Suppose 0 = 3*d - 6, -2*q = d - 4*d + w. Suppose -2*i = 3*i - 30. Solve -u = -q + i for u. -5 Suppose 11 = 4*m + 5*x + 26, -4*m = -2*x + 50. Let d be ((-12)/30)/((-2)/m*-1). Solve 0 = d*p - 4*p + 2 for p. 1 Let q(c) = 5*c**2 - 30*c - 38. Let u(d) = 2*d**2 - 10*d - 13. Let y(w) = -3*q(w) + 8*u(w). Let g be 3/((1/(-3))/1). Let x be y(g). Solve x = 3*j - 4*j for j. -1 Let q(r) = r**2 - 3*r + 5. Suppose -4*g = 4*d + 12 + 32, 2*g = 4*d + 20. Let y = -3 - d. Let x be q(y). Solve x + 6 = -3*t for t. -5 Suppose 8*b + 0 = 48. Let d = b - 2. Solve 0*a = 2*a - d for a. 2 Let f(r) = 5*r**2 - 35*r - 98. Let h(u) = 2*u**2 - 17*u - 48. Let j(d) = 3*f(d) - 7*h(d). Let o be j(-10). Solve -o*i - 3 = i for i. -1 Suppose -6*n = 9*n - 18*n. Solve n = 5*a - 21 + 16 for a. 1 Suppose -2*l = 5*d - 631, 0 = -d + 3*d + 2*l - 250. Let g = 133 - d. Solve -10 = -4*m + g for m. 4 Let u be 2/26 - (-8640)/1755. Solve -m + u*m + 8 = 0 for m. -2 Let p be (-1)/(-3) + (-42)/(-9). Suppose -p*j = -j - 20. Suppose -4*x = -j - 11. Solve g = x*g + 6 for g. -2 Suppose -2 = 2*r - 3*r. Let q = 1257 + -1252. Solve q*w + 6 = r*w for w. -2 Suppose -66 = 21*w - 43*w. Solve 4 = w*m - 11 for m. 5 Let w(g) = 2*g**3 + 21*g**2 - 13*g - 7. Let p be w(-11). Solve 9*c - 6*c = p for c. 5 Let f = 16 - 17. Let d(n) = n**2 + 2*n + 1. Let h be d(f). Solve h = 3*o - 3 for o. 1 Let k = -15 + 33. Suppose 0 = -7*y + 2*y + 10. Let p be 42/k - y/6. Solve 3*g - 5 = p*g for g. 5 Suppose 0 = -v + 6*v - 60. Suppose v = -8*y + 84. Solve 3*s = 3 - y for s. -2 Let d = 771 - 723. Solve 0*q = 12*q + d for q. -4 Let z(n) = n - 6. Let d be z(10). Suppose -6*b = d - 16. Solve b*y - y = 4 for y. 4 Suppose 0 = -14*p + 19 + 37. Solve -p*k = 25 - 9 for k. -4 Let n(y) = -7*y - 6. Let i(v) = 11*v + 7. Let c(a) = -2*i(a) - 3*n(a). Let o be (-4)/6*(-2 + -1). Let g be c(o). Solve g*s + 5 + 3 = 0 for s. -4 Suppose 4 = 23*c - 226. Solve -c*y - 8 = -8*y for y. -4 Let p(y) = 2*y**2 - 4*y + 3. Let z be p(2). Solve s = z*s for s. 0 Let x = 235 + -230. Let l = -4 + 10. Solve 0 = x*v + 4 + l for v. -2 Let l = 45 + -58. Let y = -11 - l. Solve 0 = y*c - 4*c + 6 for c. 3 Let n = -531 - -547. Let u = -1 - -2. Solve -5*w - n = -u for w. -3 Let k be (-2)/(-4) + 5/(-10). Let b(j) = j + 12. Let t be b(k). Suppose -d + 5 = 1. Solve f - d*f = t for f. -4 Let u(l) = l**2 - 19. Let h = -68 + 75. Let q be u(h). Solve -10 + q = -4*x for x. -5 Suppose -16*j - 18 = -22*j. Suppose -j*z + 1 = -5. Solve 0 = 3*q + 14 - z for q. -4 Let z(j) = j**3 - 20*j**2 - j + 23. Suppose 21*t + 60 = 24*t. Let n be z(t). Solve -n*g + 1 = -8 for g. 3 Let b(z) = -2*z**3 - 5*z**2 + 9*z + 2. Let p be b(-6). Suppose 7*d + d - p = 0. Solve 7*a - 2*a = d for a. 5 Suppose 3*j - m = 51 - 0, -70 = -4*j + 2*m. Suppose -4*w + 45 = -5*y - 24, 2*w - 3*y - 35 = 0. Let t = w + -11. Solve -t*k - j = -k for k. -4 Let y(i) = -i**3 - 14*i**2 - 55*i - 39. Let x be y(-7). Let p(l) = l**3 - 5*l**2 - 6*l + 2. Let m be p(6). Solve m*v = -x*v for v. 0 Suppose -5*l + 9*l - 56 = 0. Let w = l + -6. Solve -3*q - 25 = -w*q for q. 5 Suppose 0 = 329*p - 325*p - 12. Solve 0 = -0*h - p*h for h. 0 Suppose -d - m = -3, d - 6*d = 2*m - 21. Suppose d*l = -6 + 21. Solve -z - l*z = -4 for z. 1 Let z be -28*(-9)/108 - (-2)/3. Solve 7*q = z*q for q. 0 Let i = 42 + -40. Suppose 8 = -r - 2. Let g = -10 - r. Solve g = -m - i for m. -2 Suppose -4*u + 4*g = -40, -4*u - 7 + 32 = g. Solve -6 = -4*l + u*l for l. -2 Let o(u) = -u**3 + 13*u**2 + 31*u - 10. Let t be o(15). Solve t*k - 25 = -0 for k. 5 Let n(z) = z**3 + 9*z**2 + 7*z - 8. Let r be n(-2). Solve -3 = -i - r for i. -3 Let f be 5/(10/(-6)) - -6. Suppose -4*q + 18 = k, k = -2*q - f*q + 22. Solve -r - 3 = -k*r for r. 3 Let b = 65 - 50. Let j(x) = x**3 - 15*x**2 + 2. Let k be j(b). Solve 2*y = 8 - k for y. 3 Let h be (-4)/(-6) - 3/(-9). Let n be (-3)/6*h - (-3)/6. Solve n = -w - 1 + 4 for w. 3 Suppose 0 = -5*w + 2*y + 34, 2*w - 3*y + 6 - 24 = 0. Suppose -17*b - 332 = 54*b - 1610. Let i be (-1)/3 - 26/(-6). Solve i*x + b = w for x. -3 Let t = -48 - -62. Solve 3*a - t = -8 for a. 2 Let i = -167 + 190. Solve i*g = 26*g + 9 for g. -3 Let o(y) = -3*y - 1. Let l = -39 - -38. Let u be o(l). Solve -u*x + 2 + 0 = 0 for x. 1 Suppose 5*f + u - 36 = 35, -2*f + 27 = -u. Solve f = -12*a + 19*a for a. 2 Suppose 0 = 3*b + 4*b - 56. Let s be b - (-4 - (-4 + -3)). Solve 0 = -r + 2*r + s for r. -5 Suppose -4*b + 2*r = -96, -3*b - 3*r = r - 94. Let g = 28 - b. Let m(v) = -v**2 + 5*v - 4. Let x be m(3). Solve -g = 4*z + x for z. -1 Let u be -3*-15*4/36. Solve -u*v = -10*v - 20 for v. -4 Let n(f) = f**3 + 8*f**2 - 11*f - 13. Let w be n(-9). Suppose 4*a - 17 = -w. Solve -a*z - 5 = 2*z for z. -1 Suppose -4*k = -11*k + 3*c + 20, 2*k + 2*c = 0. Solve -2*i + 0*i = -k for i. 1 Suppose 0 = -23*b + 71 + 44. Solve 2*x + 3*x = -b for x. -1 Suppose 3*a = t - 29, -t + 5*a + 34 = a. Let i = -10 + t. Solve 0 = -s - i*s for s. 0 Let p
{ "pile_set_name": "DM Mathematics" }
18*y. Let p(d) = -4*d**2. Calculate p(x(q)). -16*q**4 Let x(c) = -236 + 80 + 82 - 11*c + 74. Let b(j) = -2*j - 2. Determine b(x(k)). 22*k - 2 Let n(u) = -34*u**2 - 16*u - 96. Let s(p) = -2*p**2 - p - 6. Let i(c) = -n(c) + 16*s(c). Let m(v) = 48 - 560*v**2 - 48. Calculate i(m(l)). 627200*l**4 Let z(b) = -2*b**2. Suppose -4*c - 2*c + 72 = 0. Let v = c + -10. Let j(f) = -100 - 19*f**2 + 100 - 7*f**v. Calculate j(z(x)). -104*x**4 Suppose 66 = 4*z + 26. Suppose -10*m + z = -10. Let n(r) = -5*r**2 - 3*r**2 + 0*r**m. Let o(p) = -p**2. Give n(o(g)). -8*g**4 Let s(j) = 168*j**2. Let d(f) be the second derivative of -f**5/30 - 19*f**2 - 17*f + 4. Let n(i) be the first derivative of d(i). Calculate s(n(q)). 672*q**4 Let j(y) = -2*y + 2. Let f(p) = 12 - 1 + 4 + 2 + 12*p - 16. Determine f(j(i)). -24*i + 25 Let w(b) = -b**2. Let y(x) = 6*x - 8 + 34*x - 1 - 109*x + 5. Calculate w(y(i)). -4761*i**2 - 552*i - 16 Let p(r) = 22*r. Let g(i) be the third derivative of 83*i**4/24 + 19*i**2 + 18*i + 4. Determine p(g(x)). 1826*x Let s(y) = -4*y. Let m(f) = -178*f**2 + 34*f**2 + 103*f**2 + 590*f**2. What is s(m(h))? -2196*h**2 Let z(t) = t - 135. Suppose 19 = q + 17. Let h(k) = -21*k - 21*k + 2*k**q - 19*k + 61*k. Give h(z(x)). 2*x**2 - 540*x + 36450 Let p(a) = -2*a. Let i = 372 + -338. Let c(y) = i*y**2 - 98*y**2 + 38*y**2 - 7 + 32*y**2. Calculate p(c(z)). -12*z**2 + 14 Let b(y) = -17*y. Let a(o) be the first derivative of 11*o**2/2 - 2*o - 66. Let s(z) = 80*z - 15. Let r(w) = -15*a(w) + 2*s(w). Give r(b(t)). 85*t Let o(f) be the first derivative of -41*f**2/2 - 16. Let l(q) be the third derivative of -q**5/12 - 5*q**2 + 9. Calculate l(o(n)). -8405*n**2 Let g(n) = -2562692*n. Let x(i) = -i. What is g(x(j))? 2562692*j Let z(l) = 34*l**2 - 14*l**2 - 10*l**2 - 7*l**2 - 18*l**2. Let p(r) = 41*r**2. Determine p(z(m)). 9225*m**4 Let k(i) = -128*i**2 - 12. Let s(a) = -17409*a. What is s(k(q))? 2228352*q**2 + 208908 Let x(h) be the second derivative of 13*h**4 - 3282*h. Let a(n) = 9*n. Give x(a(i)). 12636*i**2 Let p(y) = y**2 + 74013*y - 125. Let j(h) = h. Give j(p(v)). v**2 + 74013*v - 125 Suppose 9*k + 4*n - 15 = 4*k, -2*k + 6 = -2*n. Suppose 4*w - k = 9. Let p(o) = 3 + o + 4*o - w. Let r(a) = 2*a. Determine r(p(u)). 10*u Suppose -42*v = 5*v - 94. Let d(h) = 372*h**v - 757*h**2 + 380*h**2. Let s(w) = -10*w. What is d(s(m))? -500*m**2 Let k = 87 - 59. Let d(q) = 25*q + 75*q + k*q - 204*q. Let w(h) = h**2. Give w(d(f)). 5776*f**2 Let r(v) = -v**2. Let d(p) = 41005440*p**2. Give r(d(x)). -1681446109593600*x**4 Let g(q) = -21*q**2. Let x(u) be the third derivative of -u**6/45 + 5*u**3/6 - 106*u**2. Let m(b) be the first derivative of x(b). Give g(m(k)). -1344*k**4 Let r(g) = 17*g + 5. Let i(k) = -186*k**2 - 129*k - 7. Calculate r(i(u)). -3162*u**2 - 2193*u - 114 Let a(b) = -b**2. Let q(k) = -2*k**2 + 15*k. Let m(f) = -2*a(f) - 2*q(f). Let i(t) be the first derivative of t**3/3 - 45501. Determine i(m(c)). 36*c**4 - 360*c**3 + 900*c**2 Let n(z) = 342*z. Let v(h) = -52*h - 295. Let y(l) = -26*l - 177. Let d(c) = -3*v(c) + 5*y(c). Give n(d(a)). 8892*a Let u(n) = -18*n**2. Let b(a) = -94726064*a**2. Give u(b(f)). -161514489616777728*f**4 Let j(p) be the first derivative of p**3 - 4210. Let i(a) = -439*a**2. Give j(i(o)). 578163*o**4 Let v(b) = 99*b + 106*b - 215*b. Let o(c) = 5*c. Let u(f) = 5*o(f) + 3*v(f). Let a(z) = 2*z**2 + z**2 - z**2. Give a(u(n)). 50*n**2 Let x(s) = -2*s. Let w = -5322 + 5324. Let d(n) be the second derivative of 4*n + 0 - 37/12*n**4 + 0*n**3 + 0*n**w. What is x(d(y))? 74*y**2 Suppose 36 = -172*h + 185*h - 16. Let x(c) be the third derivative of 0*c**3 + 0 - 1/4*c**h + 0*c + 18*c**2. Let v(g) = 3*g. What is v(x(q))? -18*q Let s(w) = 5*w**2 + 23*w. Let u(o) = -6*o + 120. Let k(b) = -7*b + 100. Let x(l) = -6*k(l) + 5*u(l). Determine s(x(h)). 720*h**2 + 276*h Suppose 3*m = -3*n + 66, -2081*n - 14 = -2082*n - 5*m. Let h(s) be the first derivative of -3/2*s**2 + 0*s + n. Let y(q) = -8*q. What is y(h(t))? 24*t Let x(y) = y**2 - 6*y. Let q(v) = v**2 - 11*v. Suppose 3 + 5 = -j - 3*m, 5*m - 16 = j. Let i(d) = j*x(d) + 6*q(d). Let l(c) = 9*c. Determine i(l(o)). -405*o**2 Let o(r) = -2*r. Let k(p) = 4*p - 2534432. Calculate o(k(t)). -8*t + 5068864 Let j(v) = -4*v + 41. Let o(b) = b**2 + 2529*b - 12. Calculate j(o(w)). -4*w**2 - 10116*w + 89 Let g(v) = 13*v + 8. Let y(t) = -14*t - 8. Let b(f) = -2*g(f) - 2*y(f). Let z(u) = 126*u**2 + 51. Determine b(z(c)). 252*c**2 + 102 Let k(i) = -606793*i + 1. Let c(a) = -7*a. Determine c(k(g)). 4247551*g - 7 Let k(w) = 1290394*w**2. Let s(x) = 183*x**2. What is s(k(r))? 304716351568188*r**4 Let q(j) = j**2 - 20*j + 254. Let g(p) = -45*p. Determine g(q(l)). -45*l**2 + 900*l - 11430 Let o(a) = -10*a**2 - 2. Let f(l) = 15010*l - 4266. Let c(u) = 158*u - 45. Let k(t) = 474*c(t) - 5*f(t). Give o(k(z)). -249640*z**2 - 2 Let v(r) = -107*r - 133. Let w(o) = 34*o + 42. Let c(h) = -6*v(h) - 19*w(h). Let z(b) = -20*b - 4. Calculate c(z(p)). 80*p + 16 Let m(y) = 2*y**2 + 2*y - 1. Let q(n) = 11*n**2 + 10*n - 5. Let i(s) = -5*m(s) + q(s). Let v(b) = -6*b + 13. Give i(v(j)). 36*j**2 - 156*j + 169 Let g(y) = -2*y. Let z(c) be the first derivative of 0*c - 25/2*c**2 - 11. Give g(z(s)). 50*s Let q(w) = -2*w + 43. Let g = -461 - -464. Let f(j) = -113777 + 113777 + g*j. Calculate q(f(s)). -6*s + 43 Let p(a) = 34*a**2. Let o(r) = r - 34. Let w(l) = -6. Let s(k) = -6*o(k) + 34*w(k). Determine p(s(t)). 1224*t**2 Let h(n) = -n + 35. Let l(d) = 4*d - 36*d + 10*d + 4*d. Give l(h(a)). 18*a - 630 Let f(g) = 4*g**2. Let n(y) = 15*y - 2. Let a(c) = 594*c - 77. Let l(i) = 2*a(i) - 77*n(i). Calculate l(f(p)). 132*p**2 Let v(o) = 15141*o - 7566*o - 7567*o - 1. Let k(d) = -12*d**2. Determine v(k(c)). -96*c**2 - 1 Let u(o) = 5217*o**2. Let k(f) = -1841*f**2. What is u(k(z))? 17681878977*z**4 Let l(f) be the second derivative of 0 - 19/12*f**4 - f + 0*f**3 + 0*f**2. Let t(n) be the second derivative of n**3/2 + 4*n + 19. What is l(t(h))? -171*h**2 Let j(d) = d. Let f(h) = 802519*h. Determine f(j(n)). 802519*n Suppose 2*o = 5*o - 6. Suppose a + n - o*n - 6 = 0, 3*n = -12. Let l(q) = 2*q + 0*q + a*q + 2*q. Let t(r) = 6*r**2. Determine l(t(w)). 36*w**2 Let c(m) be the second derivative of 39 + 0*m**2 - 3*m + 1/3*m**3 - 14/3*m**4. Let u(d) = 3*d. What is u(c(q))? -168*q**2 + 6*q Let n(h) = 6*h**2 + 16*h - 3. Let j(m) = 6*m**2 + 18*m - 4. Let w be 320/70 + -5 - (-48)/14. Let f(x) = w*j(x) - 4*n(x). Let a(l) = -3*l**2. Calculate f(a(s)). -54*s**4 + 30*s**2 Let y(a) = -2*a. Let b(g) = -g**2 - 14*g + 6. Let j be b(-10). Suppose -3 - j = -7*i. Let x(d) = 0*d + 9*d - i*d**2 - 9*d. What is x(y(u))? -28*u**2 Let s(t) be the third derivative of t**4/12 + t**2. Let l(m) = -84 + 12*m - 93 + 266 - 89. Give l(s(f)). 24*f Let q = 108 + 156. Let c(d) = -141*d**2 + q*d**2 - 144*d**2. Let b(t) = -2*t**2 - 1. Let m(o) = -o**2 - 1. Let n(f) = 2*b(f) - 2*m(f). What is c(n(w))? -84*w**4 Let w(m) = -m**2 + 961*m. Let g(x) = 652 - 321 + 2*x - 331. Calculate g(w(f)). -2*f**2 + 1922*f Suppose 5 + 7 = -3*t. Let f(w) = -3*w. Let q(h) = -13*h. Let a(u) = t*q(u) + 18*f(u). Let y(z) = -5 + 5 + 2*z**2 + 8*z**2. What is y(a(m))? 40*m**2 Let r(k) = 69817*k**2 + 64365*k**2 - 129326*k**2. Let d(v) = -2*v. What is r(d(h))? 19424*h**2 Let n(m) = 6*m. Let s be 1 + -1 - (27 + -33). Let b(l) = -s*l + 14*l - 7*l - l - 31*l**2. Calculate b(n(g)). -1116*g**2 Let t(r) = -6923*r**2 + 50. Let w(k) = -11*k. What is w(t(g))? 76153*g**2 - 550 Let w(c) = -234*c. Let f(j) be the first derivative of -j**2 + 1698. Give w(f(r)). 468*r Suppose 30*m - 12 = -3*u + 27*m, 3*m = -2*u + 9. Let z(l) be the second derivative of 0*l**2 + 1/6*l**u + 0 - 4*l. Let t(s) = 12*s. Give t(z(a)). 12*a Let n(p) = -22 + 43 - 10. Let i(z) = 3*z - 44. Let u(m) = i(m) + 4*n(m). Let q(r) be the second derivative of -9*r**4/4 - r. Give q(u(j)). -243*j**2 Let l(i) be the first derivative of i**5/30 - 4*i**3/3 + 55. Let q(t) be the third derivative of l(t). Let h(w) = 14*w. Determine q(h(b)). 56*b Let b(i) = -433*i**2. Let t(x) = 20*x**2 - 31*x + 6. What is t(b(q))? 3749780*q**4 + 13423*q**2 + 6 Let l(g) = g**3 - 4*g**2 - 33*g + 10. Let t be l(8). Let q(y) = -t*y**2 + 4417*y - 2208*y - 2209*y. Let u(r) = 2*r**2 - 2*r**2 - 4*r**2. What is q(u(x))?
{ "pile_set_name": "DM Mathematics" }
20. 29512620 Calculate the common denominator of -197/394020 and -107/9456480. 9456480 What is the common denominator of -95/867176 and -167/106620? 13007640 Find the common denominator of -65/3 and 59/182175882. 182175882 What is the least common multiple of 1471608 and 549? 89768088 Calculate the least common multiple of 14536 and 1863. 1177416 Find the common denominator of -32/1139 and -1/11069941. 11069941 What is the smallest common multiple of 5848 and 123080? 5292440 Find the common denominator of -85/466778 and 31/53859. 1400334 What is the common denominator of 47/609 and 71/111824? 2348304 What is the least common multiple of 417619636 and 49? 2923337452 What is the least common multiple of 15257 and 2715746? 2715746 What is the common denominator of 163/178296 and -137/8832? 2852736 Find the common denominator of 103/57690542 and 19/35. 288452710 What is the lowest common multiple of 256332 and 23445? 3844980 Calculate the smallest common multiple of 4612860 and 329490. 4612860 Find the common denominator of -57/1940296 and -23/196320. 116417760 What is the least common multiple of 868 and 324100? 10047100 What is the smallest common multiple of 1481 and 70480? 104380880 Calculate the smallest common multiple of 1459314 and 4617. 39401478 Find the common denominator of 49/77314284 and -73/21. 541199988 Find the common denominator of -53/57 and -49/1072702. 3218106 Find the common denominator of 81/1718288 and -101/112. 12028016 Calculate the common denominator of -79/122580 and -131/83970. 38122380 Calculate the common denominator of -53/3039 and 31/39108. 39616404 Calculate the least common multiple of 6637389 and 2037376. 849585792 What is the least common multiple of 50720 and 1886784? 9433920 Calculate the common denominator of 67/2736 and 5/158384. 1425456 Calculate the common denominator of -197/27300 and -57/321958. 48293700 Find the common denominator of -4/403 and 50/1802411. 55874741 What is the smallest common multiple of 2057922 and 9? 2057922 Find the common denominator of -39/47190010 and -187/14730. 141570030 Calculate the least common multiple of 2437170 and 5. 2437170 What is the common denominator of -50/3313 and 88/6069? 20106597 Find the common denominator of 119/4914078 and -29/35642. 348899538 What is the common denominator of -26/3831 and -25/11452136? 34356408 What is the lowest common multiple of 2544546 and 866? 1101788418 Calculate the lowest common multiple of 13836 and 2487021. 9948084 Calculate the smallest common multiple of 16456220 and 34558062. 345580620 What is the common denominator of 113/7866 and 101/6027978? 18083934 What is the smallest common multiple of 315 and 702629? 221328135 What is the smallest common multiple of 79520 and 45440? 318080 What is the common denominator of 5/99522 and 31/58212? 107284716 Calculate the least common multiple of 1204550 and 80. 9636400 Calculate the common denominator of -139/34418544 and -101/19164. 34418544 What is the smallest common multiple of 58938 and 9535830? 1992988470 What is the common denominator of -65/1424 and 9/19586764? 78347056 What is the common denominator of -14/51 and 56/65745? 1117665 What is the lowest common multiple of 70 and 760046? 3800230 Find the common denominator of -109/55158 and -99/36772. 110316 Calculate the smallest common multiple of 269190 and 1076760. 1076760 Calculate the common denominator of 121/42840 and 67/1098. 2613240 Find the common denominator of -71/4704 and -61/921585. 206435040 What is the lowest common multiple of 304 and 13956464? 265172816 Find the common denominator of 94/35005905 and 68/1296515. 35005905 What is the smallest common multiple of 2254 and 681590? 15676570 Calculate the common denominator of -46/66391827 and 51/221306090. 663918270 Find the common denominator of 61/45999 and -46/1885959. 1885959 Calculate the common denominator of 13/21823515 and 73/24248350. 218235150 Calculate the common denominator of -53/579070 and -133/474. 1737210 What is the lowest common multiple of 62888 and 220108? 440216 Calculate the least common multiple of 568 and 29628. 4207176 What is the least common multiple of 11350 and 7544? 42812200 Calculate the common denominator of -11/189 and 8/1312941. 11816469 What is the common denominator of -7/9958 and -11/41886? 16042338 Calculate the common denominator of -59/9620 and -26/28305. 1471860 Calculate the common denominator of 43/136857 and 67/7728. 50363376 What is the lowest common multiple of 187226 and 52? 374452 Calculate the least common multiple of 1599579 and 18286. 131165478 Calculate the common denominator of -1/12942 and -37/898750. 8088750 Calculate the common denominator of 23/1008 and -151/8398488. 50390928 What is the least common multiple of 82836 and 30264? 16070184 Calculate the common denominator of 31/61260 and 37/270. 551340 What is the smallest common multiple of 77434460 and 309737840? 309737840 What is the lowest common multiple of 3646130 and 729226? 3646130 What is the common denominator of -7/3311100 and -111/367900? 3311100 Find the common denominator of 47/7 and 1/21236451. 148655157 What is the lowest common multiple of 36365535 and 1643640? 290924280 Find the common denominator of -149/336028020 and -55/201616812. 1008084060 Find the common denominator of 137/90252 and -151/118818. 25902324 What is the common denominator of -89/2558318 and 95/730948? 5116636 Calculate the least common multiple of 7636 and 414668. 9537364 Calculate the smallest common multiple of 220 and 8678920. 95468120 Calculate the lowest common multiple of 5730552 and 17191656. 17191656 What is the least common multiple of 100537 and 986? 99129482 Find the common denominator of 37/636825 and -58/2367. 502454925 Find the common denominator of -91/3806584 and -97/3806584. 3806584 What is the lowest common multiple of 1726613792 and 10? 8633068960 Find the common denominator of -39/7799660 and 9/4289813. 85796260 What is the lowest common multiple of 724 and 69621831? 278487324 Calculate the least common multiple of 650 and 3562585. 35625850 Calculate the lowest common multiple of 694449 and 540127. 4861143 Calculate the common denominator of -37/7263 and 61/9477408. 85296672 Calculate the common denominator of 137/22365378 and -85/3892. 44730756 What is the least common multiple of 3242209 and 11? 35664299 What is the lowest common multiple of 1080530 and 6335? 1369031510 Find the common denominator of 131/4320 and 77/4570560. 4570560 Calculate the lowest common multiple of 1770 and 3720. 219480 What is the least common multiple of 502272 and 151728? 14565888 Calculate the least common multiple of 1479088 and 568880. 7395440 Calculate the smallest common multiple of 28424 and 148124. 55398376 Calculate the common denominator of 56/25755 and 46/23783. 36031245 Find the common denominator of -133/23718 and 44/25101. 198448506 Calculate the least common multiple of 3080990 and 74943. 27728910 What is the least common multiple of 14472920 and 24640? 115783360 What is the smallest common multiple of 1012564 and 1536304? 44552816 Calculate the least common multiple of 51410 and 3780. 19432980 What is the common denominator of 83/6117940 and 57/3058970? 6117940 Calculate the lowest common multiple of 54528 and 1070. 29172480 Calculate the smallest common multiple of 119646 and 22563. 13041414 Calculate the least common multiple of 35728 and 214165. 37693040 What is the common denominator of 41/579 and -55/18272854? 54818562 Find the common denominator of -51/54838 and -59/5406. 148227114 Find the common denominator of 56/51147 and -13/7650. 43474950 Calculate the lowest common multiple of 88220 and 689. 60783580 Find the common denominator of -75/8 and -18/20155. 161240 What is the common denominator of 15/45694 and -5/693718? 7630898 What is the smallest common multiple of 1044069 and 8892? 12528828 What is the lowest common multiple of 4132020 and 153? 12396060 Calculate the common denominator of -145/2478 and 29/3752518. 11257554 What is the lowest common multiple of 110426121 and 234? 220852242 Calculate the lowest common multiple of 3261960 and 1845. 3261960 Calculate the common denominator of 53/612434 and 91/22. 6736774 Find the common denominator of 53/122682
{ "pile_set_name": "DM Mathematics" }
44)))**2. -26/9 - 2*sqrt(17)/3 Simplify (0 + sqrt(176) + (5 + sqrt(176) - sqrt(176)) + -5)**2. 176 Simplify 0 + 2 + sqrt(153). 2 + 3*sqrt(17) Simplify (sqrt(77) + sqrt(77) + (sqrt(77) - 6*(sqrt(77)*-4 + sqrt(77) + sqrt(77))) + sqrt(77))/sqrt(7)*-1. -16*sqrt(11) Simplify sqrt(27)/(((sqrt(90) - (sqrt(90) - sqrt(90)*3 - sqrt(90))) + sqrt(90))/sqrt(10)). sqrt(3)/5 Simplify -4*sqrt(20)/(-4*sqrt(4)). sqrt(5) Simplify ((1*sqrt(189) - sqrt(189)) + sqrt(21))/(sqrt(27)*2). sqrt(7)/6 Simplify sqrt(112) + (3 + (sqrt(112) + -4)**2 - sqrt(112)). -32*sqrt(7) + 131 Simplify (-5 + -5 + sqrt(9)/sqrt(3))*-5. -5*sqrt(3) + 50 Simplify -3*(((-1 + sqrt(7) + sqrt(7))*-4 - sqrt(7) - sqrt(7))**2 + (sqrt(77)*2)/sqrt(11)). -2148 + 234*sqrt(7) Simplify sqrt(162)*1*-1 + -3. -9*sqrt(2) - 3 Simplify -4*(sqrt(567) + 1)**2. -2272 - 72*sqrt(7) Simplify (sqrt(68)/sqrt(4)*-6 - (0 + sqrt(833)))**2. 2873 Simplify (sqrt(102)/sqrt(108))/sqrt(2). sqrt(17)/6 Simplify (3*(sqrt(272) + 1 + sqrt(272) + sqrt(272)) - (2*sqrt(272) + -1))**2. 224*sqrt(17) + 13344 Simplify -6*(3 + sqrt(7))**2 + (-2*sqrt(700) + sqrt(700) + sqrt(700))**2. -96 - 36*sqrt(7) Simplify (-5*(sqrt(88) + sqrt(88)*1))/(4*sqrt(16)/sqrt(2)). -5*sqrt(11)/2 Simplify 1 + (sqrt(468)/sqrt(4) - sqrt(65)/sqrt(5)*2)**2. 14 Simplify (sqrt(832)*3)/(sqrt(48)/(sqrt(36)/sqrt(3))). 12*sqrt(13) Simplify (sqrt(88)/sqrt(4)*2)/(sqrt(6)/sqrt(3)*-3). -2*sqrt(11)/3 Simplify ((3*sqrt(204) + sqrt(204))/sqrt(12))**2*-5. -1360 Simplify 5*(sqrt(468) + 1)**2. 60*sqrt(13) + 2345 Simplify (-4*sqrt(832) + sqrt(832))**2 - (sqrt(13) + (sqrt(91) + sqrt(91)*-3)/sqrt(7)). sqrt(13) + 7488 Simplify (3 + ((sqrt(3) + 2)*6 - (sqrt(18) - sqrt(450))/sqrt(6)))**2. 300*sqrt(3) + 525 Simplify (5*sqrt(18)/sqrt(3))/(sqrt(4)/(sqrt(2) - 2*sqrt(2) - sqrt(2))). -10*sqrt(3) Simplify 1*(sqrt(320) + 1) + (sqrt(320) - ((1 + sqrt(320))*4)**2) + -4. -5139 - 240*sqrt(5) Simplify (sqrt(39)/((sqrt(15)*2)/sqrt(5)))**2 - (3 + sqrt(39)/sqrt(3))**2*-3. 18*sqrt(13) + 277/4 Simplify (-3 + -1*sqrt(50))**2*2. 60*sqrt(2) + 118 Simplify (5*sqrt(7)*-5)**2 + -5. 4370 Simplify -3 + -4 + (-2*sqrt(11)*2)**2*-5. -887 Simplify (sqrt(405) - (sqrt(405) + sqrt(405) + sqrt(405) + -1 + sqrt(405) + -4))**2. -270*sqrt(5) + 3670 Simplify sqrt(11)*-4*-2 + -3 + -3*sqrt(11). -3 + 5*sqrt(11) Simplify (sqrt(34) - ((sqrt(102)/sqrt(3) - sqrt(34)) + sqrt(34)))/sqrt(2) - (3*sqrt(153))**2. -1377 Simplify (sqrt(120)/sqrt(24))/(sqrt(108)/sqrt(3) - sqrt(4)). sqrt(5)/4 Simplify 5 + sqrt(891) + 2*sqrt(891)*1 + -1. 4 + 27*sqrt(11) Simplify sqrt(1008) + (-2*(-1 + sqrt(1008)))**2 - (sqrt(1008) - -5*(-1 + sqrt(1008))). -156*sqrt(7) + 4041 Simplify 3 + (sqrt(7) - (5 + sqrt(343))). -6*sqrt(7) - 2 Simplify 4*(sqrt(7)*-2*-2 - sqrt(7)). 12*sqrt(7) Simplify sqrt(16)/(sqrt(8) - -2*sqrt(8))*-4. -4*sqrt(2)/3 Simplify -6*(sqrt(36)/(sqrt(12) + (sqrt(12)*-1 - sqrt(12))))**2 + -1. -19 Simplify 6*(sqrt(936)/sqrt(2) - sqrt(13))**2. 1950 Simplify (-5*sqrt(4)/sqrt(2) - sqrt(18)/(sqrt(63)/sqrt(7)))**2. 72 Simplify (sqrt(50) + -2)**2 + -1. -20*sqrt(2) + 53 Simplify (sqrt(78) - -4*(sqrt(78) + (-1*sqrt(78) - sqrt(78))))/(4*sqrt(12)/sqrt(2)). -3*sqrt(13)/4 Simplify (sqrt(1088) - (sqrt(1088) - -4*sqrt(1088)))*-3. 96*sqrt(17) Simplify 2 + (sqrt(112) - -3*(sqrt(112) + -1)). -1 + 16*sqrt(7) Simplify (5 + -2 + sqrt(272)*4)**2. 96*sqrt(17) + 4361 Simplify (-3 + sqrt(11))**2 + 1 + 1. -6*sqrt(11) + 22 Simplify -5 + (sqrt(32) + -1 - sqrt(2))**2. -6*sqrt(2) + 14 Simplify (-1*(sqrt(1377) - (sqrt(1377)*2 + 4)))**2. 72*sqrt(17) + 1393 Simplify 4 + 5 + 1*sqrt(396) + sqrt(396). 9 + 12*sqrt(11) Simplify 1 + -3*(-3 + sqrt(5)) + sqrt(5). -2*sqrt(5) + 10 Simplify (sqrt(153)/(sqrt(900)*-4 + sqrt(9))*4)**2. 272/1521 Simplify ((-3*sqrt(91) - sqrt(91))*-2)/sqrt(7). 8*sqrt(13) Simplify sqrt(15)/(sqrt(3) - sqrt(192)*2)*3. -sqrt(5)/5 Simplify (sqrt(120)/sqrt(2))/sqrt(12) + (sqrt(5) - (-5 + (sqrt(5) - (sqrt(5) - (sqrt(5) - sqrt(5)*-2)))))**2 + 1. -19*sqrt(5) + 46 Simplify (2*(2*sqrt(22))/sqrt(2))**2. 176 Simplify (2*sqrt(76)*-4)/(sqrt(400) + (sqrt(400) - (sqrt(400) - (sqrt(400) + ((sqrt(400)*1 - sqrt(400)) + sqrt(400) - sqrt(400)) + sqrt(400) - sqrt(400))))). -2*sqrt(19)/5 Simplify (-5 + sqrt(126)/sqrt(2) + (sqrt(63) - sqrt(441)/((sqrt(7) - sqrt(21)/sqrt(3)) + sqrt(7))))**2. -30*sqrt(7) + 88 Simplify (-1 + -1 + sqrt(112))**2 + (sqrt(112) - (-3*sqrt(112) + 3)). 113 Simplify (-4*-2*sqrt(304)*-5)**2. 486400 Simplify (-3*(-4*(-2 + sqrt(5)) - sqrt(25)/sqrt(20)))**2. -648*sqrt(5) + 5949/4 Simplify -2 + 6*(sqrt(13) - sqrt(1053))**2. 4990 Simplify -5 + (-5 + sqrt(1088) + sqrt(1088) + 2)**2. -96*sqrt(17) + 4356 Simplify (sqrt(96)/sqrt(3) + sqrt(32) - sqrt(32))*-2 - (sqrt(16)/(sqrt(24)/sqrt(3)) + 2). -9*sqrt(2) - 2 Simplify (-5*(sqrt(17) - (sqrt(612))**2) - sqrt(17)) + -2. -6*sqrt(17) + 3058 Simplify -5 + sqrt(44) + 3. -2 + 2*sqrt(11) Simplify (sqrt(1225)*-2)/sqrt(7). -10*sqrt(7) Simplify (((sqrt(210)*-3)/sqrt(5) + sqrt(42))/(sqrt(18)/sqrt(3)*4))**2. 7/4 Simplify sqrt(50) + 0 + 3. 3 + 5*sqrt(2) Simplify 2*((sqrt(117) - sqrt(13) - sqrt(13)) + 0 + 3). 6 + 2*sqrt(13) Simplify (sqrt(121) - 6*-1*sqrt(121))/(-6*sqrt(44)/sqrt(4)). -7*sqrt(11)/6 Simplify (sqrt(12)/(sqrt(256) + sqrt(4)))**2*2. 2/27 Simplify 5 + sqrt(567)*-1. -9*sqrt(7) + 5 Simplify sqrt(125) - ((sqrt(125) + 1)*-6 + sqrt(125)). 6 + 30*sqrt(5) Simplify ((sqrt(5) + (sqrt(5) + sqrt(10)/sqrt(2))*-1)**2 - sqrt(5)) + 1. -sqrt(5) + 6 Simplify (0 + sqrt(567)*-2 + 4)**2. -144*sqrt(7) + 2284 Simplify ((-2*sqrt(363) - sqrt(363))*5)**2. 81675 Simplify (-3*2*sqrt(99))**2*-3. -10692 Simplify -2*3*-4*(sqrt(108) + -1)**2. -288*sqrt(3) + 2616 Simplify ((2*sqrt(252) - sqrt(252))/sqrt(6))/(sqrt(6) + (sqrt(6) - (sqrt(6) - (sqrt(6)*2*6 + sqrt(6))))). sqrt(7)/14 Simplify sqrt(45) + 3*3*sqrt(45). 30*sqrt(5) Simplify (0 + (1 + sqrt(125) + -2)**2)*5. -50*sqrt(5) + 630 Simplify sqrt(104)/sqrt(72)*-3. -sqrt(13) Simplify ((sqrt(75)/sqrt(3))/sqrt(5) + sqrt(5))**2*1. 20 Simplify 3*(-1 + sqrt(1300)). -3 + 30*sqrt(13) Simplify (3*(sqrt(156) - (sqrt(156) - sqrt(156)*-1)))/sqrt(12). -3*sqrt(13) Simplify -3 + -1 + sqrt(325) + -1 + sqrt(325). -5 + 10*sqrt(13) Simplify -2*((sqrt(3) - (-3*sqrt(6))/sqrt(2)) + 0). -8*sqrt(3) Simplify (sqrt(1331)*-2 - (sqrt(11) + -1*sqrt(176))) + (-1*sqrt(99)*6)/sqrt(9). -25*sqrt(11) Simplify (sqrt(56)/(2*sqrt(112) - sqrt(112)))**2 + 1. 3/2 Simplify (-3 + sqrt(304) + sqrt(19) - (sqrt(19) + sqrt(171) + -3))**2. 19 Simplify (0 + sqrt(1539) + 1 - (-5*sqrt(1539)*1)**2)*4. -153896 + 36*sqrt(19) Simplify 6*-1*sqrt(1584). -72*sqrt(11) Simplify ((sqrt(121)*-2 - sqrt(121))/sqrt(11) + -6*(sqrt(11) + -3*sqrt(11)))**2. 891 Simplify (sqrt(24)/(-5*sqrt(48)))**2 - (sqrt(2) + 5*sqrt(8)/sqrt(4) + 4). -6*sqrt(2) - 199/50 Simplify (-5 + sqrt(125) + -2*sqrt(125))**2 + -5. 50*sqrt(5) + 145 Simplify sqrt(22)/(sqrt(11)*-1) - (0 + sqrt(8)/sqrt(4)). -2*sqrt(2) Simplify 1 + (1 + sqrt(343) + (2 + sqrt(343))**2)*5. 175*sqrt(7) + 1741 Simplify 2*((0 + sqrt(847))*-2 + 3). -44*sqrt(7) + 6 Simplify ((sqrt(114) - sqrt(114)*-3 - sqrt(114)) + sqrt(114) - sqrt(114))/sqrt(6) - (2 + sqrt(19)*-1). -2 + 4*sqrt(19) Simplify ((-1*sqrt(152) + sqrt(152) - sqrt(152))*-6)/(sqrt(8) - sqrt(128)/sqrt(4)). -6*sqrt(19) Simplify sqrt(52) - (1 + sqrt(52)) - -2*sqrt(637). -1 + 14*sqrt(13) Simplify ((-1 + sqrt(7) + 2)*-4 + -2)**2. 48*sqrt(7) + 148 Simplify ((sqrt(72) - sqrt(72)*-2)*-6)**2. 23328 Simplify (sqrt(441)/(sqrt(21)/sqrt(3)))/(sqrt(144) - sqrt(144)*-1 - sqrt(144) - sqrt(9) - sqrt(9)). sqrt(7)/2 Simplify (1*sqrt(1900) + sqrt(1900))**2 + 4 - (-2 + sqrt(76)/(sqrt(16)/sqrt(4))). -sqrt(19) + 7606 Simplify 3*sqrt(15)/(5*sqrt(48)). 3*sqrt(5)/20 Simplify ((sqrt(1872) + -1)*-5 + (sqrt(1872) - -4*(sqrt(1872) - (-1 + sqrt(1872)))))**2. -864*sqrt(13) + 30033 Simplify (sqrt(130)/(sqrt(10) - (sqrt(40)*-2)/sqrt(4)))**2. 13/9 Simplify (sqrt(3872) - (-1 + sqrt(3872))) + 1. 2 Simplify (-3*(1*(sqrt(95) + sqrt(95)*1) - sqrt(95) - sqrt(95))/((sqrt(80)/sqrt(2))/sqrt(8) + sqrt(5)))**2. 0 Simplify (sqrt(3) - (1 + sqrt(3)*-1 - sqrt(3)))*-2 + 5*(0 + sqrt(108))**2. -6*sqrt(3) + 542 Simplify ((3*sqrt(324))/(sqrt(12)/sqrt(16)))**2. 3888 Simplify -2 + (sqrt(7) - 3*(2 + sqrt(7)))**2. 62 + 24*sqrt(7) Simplify (sqrt(891)*2 + 4 + (sqrt(891) - (-2 + 1 + sqrt(891)) - sqrt(891)))**2. 90*sqrt(11) + 916 Simplify
{ "pile_set_name": "DM Mathematics" }
266, 399, 532? 133*q What is the s'th term of 1629, 1628, 1627, 1626, 1625, 1624? -s + 1630 What is the a'th term of 119, 117, 117, 119, 123, 129? a**2 - 5*a + 123 What is the m'th term of -424, -429, -434, -439, -444, -449? -5*m - 419 What is the k'th term of -20, -20, -18, -14? k**2 - 3*k - 18 What is the j'th term of 17, 20, 25, 32, 41, 52, 65? j**2 + 16 What is the t'th term of 21, 75, 129, 183, 237, 291? 54*t - 33 What is the c'th term of -103, -411, -925, -1645, -2571, -3703, -5041? -103*c**2 + c - 1 What is the s'th term of 450, 900, 1350, 1800? 450*s What is the v'th term of 177, 180, 193, 222, 273, 352? v**3 - v**2 - v + 178 What is the n'th term of -4, 17, 68, 161, 308, 521, 812? 2*n**3 + 3*n**2 - 2*n - 7 What is the r'th term of 9, 24, 39, 54? 15*r - 6 What is the r'th term of -7, -24, -41? -17*r + 10 What is the j'th term of -785, -801, -851, -953, -1125, -1385, -1751, -2241? -3*j**3 + j**2 + 2*j - 785 What is the h'th term of 1695, 1701, 1707? 6*h + 1689 What is the u'th term of -29, -202, -651, -1514, -2929, -5034, -7967? -23*u**3 - 12*u + 6 What is the a'th term of -963, -1941, -2917, -3891, -4863? a**2 - 981*a + 17 What is the h'th term of -118, -189, -260? -71*h - 47 What is the u'th term of 485, 937, 1389, 1841, 2293, 2745? 452*u + 33 What is the q'th term of 700, 2799, 6304, 11221, 17556, 25315, 34504? q**3 + 697*q**2 + q + 1 What is the y'th term of 3, 11, 15, 9, -13? -y**3 + 4*y**2 + 3*y - 3 What is the k'th term of 833, 863, 893? 30*k + 803 What is the l'th term of 33, 72, 113, 156? l**2 + 36*l - 4 What is the m'th term of 488, 490, 492, 494? 2*m + 486 What is the g'th term of 930, 925, 920, 915? -5*g + 935 What is the y'th term of -435, -434, -433, -432? y - 436 What is the g'th term of 62, 238, 530, 938? 58*g**2 + 2*g + 2 What is the p'th term of -8, -217, -566, -1055, -1684? -70*p**2 + p + 61 What is the s'th term of -609, -610, -611? -s - 608 What is the g'th term of 559, 556, 555, 556, 559, 564, 571? g**2 - 6*g + 564 What is the h'th term of 56, 263, 608, 1091? 69*h**2 - 13 What is the y'th term of -4058, -4059, -4060, -4061, -4062? -y - 4057 What is the l'th term of 8715, 8712, 8699, 8670, 8619, 8540, 8427, 8274? -l**3 + l**2 + l + 8714 What is the f'th term of 5, 4, -9, -40, -95? -f**3 + 6*f What is the n'th term of -8, -71, -194, -377? -30*n**2 + 27*n - 5 What is the j'th term of -39, -75, -109, -141, -171? j**2 - 39*j - 1 What is the n'th term of 36, 308, 1046, 2484, 4856, 8396, 13338? 39*n**3 - n**2 + 2*n - 4 What is the s'th term of 39, 70, 85, 78, 43? -s**3 - 2*s**2 + 44*s - 2 What is the o'th term of 21, 31, 19, -27, -119, -269, -489, -791? -2*o**3 + o**2 + 21*o + 1 What is the a'th term of -2321, -2333, -2345, -2357? -12*a - 2309 What is the g'th term of -579, -1159, -1739, -2319, -2899? -580*g + 1 What is the f'th term of 428, 862, 1306, 1766, 2248, 2758, 3302, 3886? f**3 - f**2 + 430*f - 2 What is the x'th term of -88, -112, -136, -160, -184, -208? -24*x - 64 What is the z'th term of 71, 70, 71, 74, 79? z**2 - 4*z + 74 What is the t'th term of -8, -15, 8, 79, 216, 437, 760? 3*t**3 - 3*t**2 - 19*t + 11 What is the n'th term of -13, -8, 11, 44, 91, 152? 7*n**2 - 16*n - 4 What is the u'th term of -9, -37, -81, -141, -217? -8*u**2 - 4*u + 3 What is the u'th term of -39, -41, -19, 39, 145? 2*u**3 - 16*u - 25 What is the t'th term of 4, 5, 12, 31, 68, 129, 220, 347? t**3 - 3*t**2 + 3*t + 3 What is the t'th term of 4479, 4484, 4499, 4530, 4583, 4664? t**3 - t**2 + t + 4478 What is the u'th term of 3209, 3197, 3171, 3125, 3053, 2949, 2807, 2621? -u**3 - u**2 - 2*u + 3213 What is the w'th term of -19, 16, 103, 236, 409, 616, 851? -w**3 + 32*w**2 - 54*w + 4 What is the x'th term of 153, 301, 437, 561, 673? -6*x**2 + 166*x - 7 What is the v'th term of 14, 32, 54, 80, 110? 2*v**2 + 12*v What is the j'th term of 19, 42, 105, 226, 423, 714? 3*j**3 + 2*j**2 - 4*j + 18 What is the h'th term of -7, -10, -21, -46, -91? -h**3 + 2*h**2 - 2*h - 6 What is the g'th term of -71, -224, -477, -830, -1283? -50*g**2 - 3*g - 18 What is the v'th term of -135, -134, -133? v - 136 What is the b'th term of 771, 1525, 2265, 2985, 3679, 4341? -b**3 - b**2 + 764*b + 9 What is the w'th term of 3774, 3757, 3726, 3675, 3598? -w**3 - w**2 - 7*w + 3783 What is the m'th term of 5, 20, 53, 110, 197, 320, 485, 698? m**3 + 3*m**2 - m + 2 What is the o'th term of -15, -58, -131, -234? -15*o**2 + 2*o - 2 What is the o'th term of -13, -27, -39, -49, -57? o**2 - 17*o + 3 What is the j'th term of -29, -80, -133, -188, -245, -304, -365? -j**2 - 48*j + 20 What is the l'th term of -53, -215, -483, -857, -1337? -53*l**2 - 3*l + 3 What is the v'th term of -36, -87, -150, -231, -336, -471? -v**3 - 44*v + 9 What is the u'th term of 9, 42, 89, 144, 201, 254? -u**3 + 13*u**2 + u - 4 What is the f'th term of 29, 60, 111, 182, 273? 10*f**2 + f + 18 What is the f'th term of -35, -89, -157, -239, -335, -445, -569? -7*f**2 - 33*f + 5 What is the q'th term of -79, -147, -193, -211, -195? q**3 + 5*q**2 - 90*q + 5 What is the q'th term of 19373, 19370, 19367, 19364, 19361, 19358? -3*q + 19376 What is the l'th term of -107, -97, -91, -95, -115? -l**3 + 4*l**2 + 5*l - 115 What is the l'th term of 45, 10, -101, -330, -719, -1310? -7*l**3 + 4*l**2 + 2*l + 46 What is the h'th term of 276, 507, 728, 933, 1116, 1271, 1392? -h**3 + h**2 + 235*h + 41 What is the y'th term of 468, 464, 460? -4*y + 472 What is the f'th term of 159, 168, 185, 210, 243? 4*f**2 - 3*f + 158 What is the p'th term of -86, -78, -64, -44, -18, 14? 3*p**2 - p - 88 What is the x'th term of -36, -75, -168, -339, -612? -4*x**3 - 3*x**2 - 2*x - 27 What is the s'th term of 136, 245, 326, 379, 404? -14*s**2 + 151*s - 1 What is the p'th term of 23, 10, -13, -46, -89? -5*p**2 + 2*p + 26 What is the r'th term of -154, -323, -492, -661, -830? -169*r + 15 What is the s'th term of 51, 39, 9, -45, -129? -s**3 - 3*s**2 + 4*s + 51 What is the i'th term of 207, 210, 213, 216, 219, 222? 3*i + 204 What is the b'th term of 391, 392, 393, 394, 395, 396? b + 390 What is the s'th term of 1588, 1583, 1566, 1531, 1472, 1383, 1258? -s**3 + 2*s + 1587 What is the t'th term of -40, -35, -30, -25, -20, -15? 5*t - 45 What is the f'th term of -841, -1663, -2499, -3355, -4237, -5151, -6103? -f**3 - f**2 - 812*f - 27 What is the c'th term of 122, 124, 126, 128, 130, 132? 2*c + 120 What is the n'th term of 81, 155, 239, 339, 461, 611? n**3 - n**2 + 70*n + 11 What is the s'th term of 8, 16, 12, -16, -80, -192? -2*s**3 + 6*s**2 + 4*s What is the l'th term of -230, -456, -672, -872, -1050? l**3 - l**2 - 230*l What is the r'th term of -267, -265, -267, -273? -2*r**2 + 8*r - 273 What is the l'th term of -1100, -4395, -9894, -17603, -27528, -39675, -54050? -l**3 - 1096*l**2 - 3 What is the g'th term of -5023, -5022, -5021, -5020, -5019, -5018? g - 5024 What is the a'th term of -623, -1247, -1873, -2501? -a**2 - 621*a - 1 What is the o'th term of -13, -23, -45, -85, -149, -243, -373? -o**3 - 3*o - 9 What is the h'th term of -13, -97, -325, -769, -1501? -12*h**3 - 1 What is the z'th term of -213, -425, -637, -849, -1061, -1273? -212*z - 1 What is the x'th term of -9713, -9712, -9711, -9710? x - 9714 What is the n'th term of 10, 53, 178, 427, 842? 7*n**3 - n**2 - 3*n + 7 What is the q'th term of 4381, 4380, 4379, 4378, 4377? -q + 4382 What is the m'th term of -267, -1065, -2395, -4257, -6651? -266*m**2 - 1 What is the m'th term of 108727, 108735, 108755, 108793, 108855, 108947? m**3 + m + 108725 What is the t'th term of -10, -16, -22? -6*t - 4 What is the b'th term of -469, -470, -471, -472, -473? -b - 468 What is the w'th term of -113, -213, -315, -419, -525, -633, -743? -w**2 - 97*w - 15 What is the p'th term of 13081, 26162, 39243? 13081*p What is the o'th term of -41, -170, -383, -680, -1061, -1526? -42*o**2 - 3*o + 4 What is the h'th term of -13, -66, -155, -280, -441? -18*h**2 + h + 4 What is the a'th term of -38, -75, -120, -173, -234, -303, -380? -4*a**2 - 25*a - 9 What is the c'th term of 33, 63, 95, 129, 165? c**2 + 27*c + 5 What is the p'th term of 1287, 2574, 3861, 5148? 1287*p What is the s'th term of 67, 66, 65? -s + 68 What is the h'th term of -694, -1390, -2086, -2782? -696*h + 2 What is the a'th term of 46, 102, 158, 214, 270,
{ "pile_set_name": "DM Mathematics" }
What is the hundred thousands digit of 223361? 2 What is the ten thousands digit of 1553265? 5 What is the units digit of 8591847? 7 What is the units digit of 475321? 1 What is the hundred thousands digit of 17918459? 9 What is the units digit of 3339110? 0 What is the tens digit of 987139? 3 What is the units digit of 2628478? 8 What is the ten thousands digit of 621579? 2 What is the tens digit of 10030893? 9 What is the units digit of 3323469? 9 What is the ten millions digit of 10119341? 1 What is the hundreds digit of 3176793? 7 What is the millions digit of 1606753? 1 What is the millions digit of 15200460? 5 What is the hundred thousands digit of 1679416? 6 What is the hundred thousands digit of 5843501? 8 What is the tens digit of 291564? 6 What is the millions digit of 14217619? 4 What is the millions digit of 19653348? 9 What is the hundred thousands digit of 204456? 2 What is the hundred thousands digit of 593902? 5 What is the hundreds digit of 111573? 5 What is the tens digit of 260131? 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{ "pile_set_name": "DM Mathematics" }
-42. Solve -5*y + p*t = -w, 3*y - t - t - 7 = 0 for y. -1 Let j = -26 - -31. Solve -5*l = -3*w - 2, j*l = 2*w - 0 - 2 for l. -2 Suppose j = -n + 3*j + 3, 4*n = -j + 12. Suppose 0*x + n*x = 9. Suppose 8 = 5*v + 4*f, 2*v + 0*f = -f + 5. Solve -4*z + v*u = 16, -x = 2*z + 2*u + 1 for z. -3 Suppose 5*l = 5*i + 25, 9*i - 5*i = 2*l - 18. Solve 0 - l = -m + 3*v, m + v = -7 for m. -5 Let s(y) = y**2 - 5*y - 11. Let x be s(8). Let q be 6/(-10) + x/5. Let v be 45/10 + 2/(-4). Solve 0 = q*m - 5*c, 5*m + v*c - 3*c + 27 = 0 for m. -5 Let x = -39 + 19. Let h = -15 - x. Solve 2 = r - 0, 0 = 2*z + h*r - 14 for z. 2 Let a = -133 + 135. Solve 0 = 2*r, 3*z + r - 5 = a*z for z. 5 Let t be (-6 - -2)*-1 + 0. Let v = 13 - t. Solve -5 = -2*c - r, 5*r = 24 - v for c. 1 Let s be (-156)/(-11) + (-68)/374. Suppose 2*t + 4*d - 6 = 7*t, t = 4*d - s. Solve 10 + t = -3*q, 3*b - 4*q = 19 for b. 1 Let l be (2*-280)/(-8)*(-2)/(-5). Let o = l - 13. Solve -4*h + a + 5 = 0, -3*a - o = -0*a for h. 0 Suppose -2*k - 3*x = -2*x + 19, 0 = -k + x - 8. Let i = k + 9. Solve -2*u = -n - 7, 3*u = n - i + 11 for n. 1 Let w be (1/(4/148))/1. Let c = -32 + w. Solve 3*y - 5 = c*d, -2*y + 5 = -5*d - 5 for d. -4 Suppose -12 = 3*s, 2*l = -0*s - 4*s - 34. Let o be (4/3)/(-2*3/l). Solve 8 = 3*d + d, -5*d = -o*c - 2 for c. 4 Let i be ((-4)/1)/(-2)*-2. Let n be (28/7)/8 + (-34)/i. Solve -5*h + r + 15 = 3*r, -3*h + n = 4*r for h. 3 Suppose 3*c - 3*q - 9 = 0, -c - q - 5 = -6*q. Solve 3*h - 13 = -2*r + 4*h, c*r - 4*h - 37 = 0 for r. 5 Let w be (18/(-27))/(2/3). Let y be w/(-8) - 46/(-16). Suppose 0 = 2*k + 6*i - y*i - 7, 38 = 4*k - 2*i. Solve 3*t = 8*t - 3*n - k, 0 = -4*t - n + 20 for t. 4 Let l = 89 + -79. Suppose 0 = 5*s - 15 - l. Solve s*m - 30 = 4*x - 2, -2*x + 4*m = 20 for x. -2 Let c = 8 + -5. Suppose 25 = -5*g, -43 = -3*l + 3*g - 13. Suppose a - 40 = -28. Solve l*t - 6 = z - c*z, t - a = 5*z for z. -2 Let h(w) = -3*w**3 - 6*w**2 - 25*w - 44. Let i be h(-2). Solve i*d + 6 = -4*p + 4*d, 4*d = -12 for p. 0 Let c(x) = 14*x + 2*x**2 + 18 + x**2 + x**2 - 5*x**2. Let s be c(15). Solve -s*n = 5*b + 13 + 27, 15 = -3*b for n. -5 Suppose 0 = -3*f - 4*y + 2, 4 = 4*f + 2*y + 3*y. Let i = 4 + -4. Suppose -a + 2 = -i*a. Solve -p = -j - 6, a*j + f + 4 = 0 for p. 1 Let p = -495 + 498. Solve p*u + 4 = -5*k, -u + 4*u - 2 = -2*k for u. 2 Suppose -4*f + 80 = 4*d - 0*d, 0 = f - 5*d + 10. Let a = 193 + -185. Solve -5*m + f = -t, 29 = -5*t - 2*m + a for t. -5 Let r be 7 - (-5 + 8) - 0. Solve -3*o + 0 + 4 = -r*u, -2*o - 2*u = -12 for o. 4 Let u(k) = -k**3 + 3*k**2 + 2*k + 8. Let a be u(4). Suppose -19 = -5*z - 3*p, -3*z + 2*z + p + 7 = a. Solve -z*g = -2*g + 3*q, -4*g - 3*q - 1 = 0 for g. -1 Suppose 0 = 7*k - 3*k + 3*t - 11, -3 = -3*t. Solve -2*h - 6 = -2*u + 2*h, k*u - 6 = -2*h for u. 3 Let m(b) = b**2 - b + 4. Let r be m(3). Suppose -4*w = w - r. Suppose -w + 10 = 2*x. Solve -5*t = -d - 23, -d = -x*d - 4*t + 7 for d. -3 Suppose f = -14*g + 16*g - 1, 0 = 5*g - f - 10. Solve -4*z = 8*x - 11*x - 9, 12 = 3*z + g*x for z. 3 Let h be (1/(-3))/((-4)/48). Suppose 0 = 4*y + 2 - 122. Solve m = -f + 1, -5*m + 2*f - h = -y for m. 4 Suppose -g = 4*g, -2*g = -3*u - 6. Let x be 4/2*u/(-1). Let l(p) = -p**2 + 7*p - 2. Let y be l(5). Solve b - y = -c, -x*b + 0*b + c + 17 = 0 for b. 5 Suppose 0 = 2*t + 2*t + 4*h + 36, -5*h = 2*t + 12. Let d(g) = g**3 + 11*g**2 - 2*g - 19. Let b be d(t). Solve -2*n - 4 = -2*j, 2*n - 3*n - 2 = b*j for n. -2 Let t = -285 + 288. Solve -i + 5 = -2*i, -t*m - 18 = 3*i for m. -1 Suppose 3*i - 27 = -90. Let q be (-2)/6 + i/(-9). Suppose f = x - 6, -x - 2*x = 3*f. Solve x = -3*g, -c + g = -q*c - 4 for c. -3 Suppose 3*q - 7 = 53. Let a be (-9)/(-2) + 7/(-14). Suppose -2*c + 24 = 2*j, c + a*j = -c + 24. Solve 5*p - q = -k, 3*k + 2*p = 3*p + c for k. 5 Let k = 15 - 13. Let r be (-1 - (k + 0))*-1. Solve -2*c = -s + 13, 4*c + r*s + 7 = -4 for c. -5 Let p = -18 - -24. Let h(c) = c**2 - 4*c - 10. Let t be h(p). Suppose -4*y + k = -13, 0*y - 5*k = t*y + 21. Solve -g = 5*v, -y*g = -g - 2*v for g. 0 Let k(a) be the first derivative of a**3/3 - 3*a**2/2 - 5. Let r be k(6). Suppose 0 = -3*u - 3*u + r. Solve -5*h = 2*y + 11, -u*y - y = 3*h + 1 for h. -3 Let k(b) = -b - 3. Let x be k(-10). Suppose 0 = h - x*h. Solve g + 2*q + 5 = h, 2*g + 2*q + 0*q = -2 for g. 3 Let k = 2 - -1. Suppose -k*u + 5 = -4. Suppose 0*q = -u*q + 6. Solve 5*c - q*x + 3*x + 9 = 0, -4*c + 2*x - 10 = 0 for c. -2 Let d be (45/30)/(2/(-4)*-1). Let m(w) = w**2 - 4. Let k be m(3). Suppose k*z = -c, c = d*z + 5*c. Solve 5*v + 5 = z, 0*o + 3*v = -3*o for o. 1 Let a(w) = -w**2 + 7*w + 90. Let k be a(-6). Let y = -15 + 9. Let t be 0*3/y - -2. Solve 2*l - 12 = -4*c, -5*l = -2*c - t*c + k for l. 0 Let b(w) = 4*w + 2. Let c be b(-1). Let p be c*1 - (8 - 15). Let o be p/(-2)*32/(-20). Solve -3*j - 5 = -2*r, 0 = -5*r + 3*j - j - o for r. -2 Suppose 5 = -3*j + 65. Let h(n) = n - 7. Let f be h(7). Solve p - 2 = -3*x, j = -5*x - f*x + 3*p for x. -1 Suppose 3 = -b - 7. Let t(h) = -h**3 + 6*h**2 + 8*h + 5. Let l be t(7). Let r = l + b. Solve -i + 15 = 3*k + 4, i = -r*k + 7 for k. 4 Suppose -35 = 32*x - 195. Solve x*p - 3*z = -16, -3*p + p = 3*z - 2 for p. -2 Let b be 3 + 1 - (1 - -1). Let j be b/(-2) - (-1 - 0). Solve -q + d - 9 = -0, j = -4*d + 20 for q. -4 Let n(y) = 2*y - 4. Let b be n(-11). Let x be 1/(-5) - b/5. Solve 10 = 4*t - 7*c + 2*c, -x*t = -3*c - 6 for t. 0 Let k be ((-17)/(-102))/((-1)/(-18)). Solve 3*g + 9 = k*h, 11 = 2*h - 5*g - 1 for h. 1 Let b = 9 + -6. Let x be 56/10 - (-12)/(-20). Suppose b = j - 4*h, -5*j - 3*h + 10 = -x. Solve -5*t = -j*f + 9, -4*t - 5 = t - 5*f for t. -3 Let u(n) = -7*n + 24. Let d = 39 - 32. Let g(l) = -8*l + 24. Let i(a) = d*u(a) - 6*g(a). Let t be i(13). Solve -w = 4*x - 21, -7 = -2*w - 2*x + t for w. 5 Let v be (-30)/(-8) - 6*(-11)/264. Solve -p + 3 - 15 = 3*n, 3 = -v*p - 3*n for p. 3 Let a(u) = -5*u**2 - 28*u - 7. Let o be a(-5). Suppose -s - 2 + 5 = 0. Solve s*n + d - 17 = -o, 0 = 5*n - 4*d - 15 for n. 3 Let p(o) = 17*o + 54. Let d be p(-3). Suppose -13*a + 169 = -143. Solve -4*u - w = a, 3*u - 3*w + d = -0*u for u. -5 Let d(t) = t + 8. Let a be d(-6). Suppose -6*m + 12 = -10*m. Let b(h) = -h - 2. Let j be b(m). Solve -3*g + j = -2*r, a*r - 2*g = 5*r - 5 for r. 1 Let x(q) = q. Suppose 13*p - 119 - 11 = 0. Let c be x(p). Solve -2*i + c = 3*i - 5*g, -2 = -5*i + 3*g for i. -2 Suppose 2 + 6 = 4*h. Let j be -2 - ((-6)/12 + (-3)/2). Solve z - 5*n + 17 = j, h*z + 13 = -3*z + n for z. -2 Let c = -59 - -59. Suppose x = -5*f + 19, -5*f + c*x + 23 = -3*x. Solve r - 10 = -0*r - 3*w, 0 = -3*r + f*w + 4 for r. 4 Let g(d) be the second derivative of -d**4/12 + 2*d**3/3 + 3*d**2/2 - 9*d. Let o be g(4). Solve -2*z - 2*v + 2 = 0, v = -o - 0 for z. 4 Let k = 9 - 9. Suppose -3*c + 7 + 8 = k. Solve 2*v = 6*v - c*u - 25, -2*v + 5*u + 15 = 0 for v. 5 Let i be 231/(-14) - 2/(-4). Suppose 4*h = 3*c + 54, 0 = -4*c - h - 47 - 25. Let u = i - c. Solve -2*a + 9 = 3*q, 15 = 4*q + u*a + 3 for q. 3 Suppose 3*q = -5*v - 0*v + 95, -2*q = -4*v + 54. Suppose 2*w - 3*w + v = 0. Suppose 0 = 104*l - 76 - 340. Solve n + n = -p, 2*p + w = l*n for p. -4 Suppose -5*c + 0*c = -80. Let b = c + -6. Suppose 8*m - b*m = -6. Solve m*w - 4*w - 2*r = 1, -4*w - 4*r = 0 for w. 1 Suppose 4*m - 2*m - 22 = 0. Suppose -19 + 4 = -3*d. Let w be (8/12 - 0)*6. Solve -d*h - 12 = -b + w*b, -2*b = -3*h - m for b. 1 Let o(n) = n**2 - 5*n - 12. Let l be o(7). Suppose l*y = 5*y. Solve -p - 1 = 2*h, -4*p + 12 = -y*p for h. -2 Suppose 5*s + 25 = -c, -4*c - 5*s - 25 = -9*c. Let g be (c - 10)/((-8)/4). Suppose -5*h + 5 = -g. Solve 5*p = -0*u + u - 25, -4*u = h*p - 12 for p. -4 Let l(i) be the first derivative of 2*i**3/3 + 17*i**2 + 5*i - 2. Let f be l(-17). Solve 3*z + 2*c = c + 6, f*c = 2*z - 4 for z. 2 Suppose 47*l + 5*g = 45*l + 9, 0 = 4*l - 2*g - 6. Solve -2*x = 3*w + 2*x + l, 2*x = 4*w + 10 for w. -2 Let z be (1/1)/(-5*(-17)/1955). Solve o + 3*x + x - 21 = 0, 2*o - 5*x = -z for o. 1 Let i(c) = 2*c**3 + 33*c**2 - 57*c - 22. Let x be i(-18). Solve 0 = -3*a - 5*r - x, 5*r - 1 = -21 for a. -4 Let n be (98/(-17))/(-2) + (-212)/(-1802). Solve 0 = n*o + 2*v + 21, 2*v - 12 = 5*o + 7 for o. -5 Let b be (1576/(-6))/(-4) + (-4)/6. Let z be 3/((-26)/b - 46/(-40)). Solve 2*m = -d - 11, 2*d + z*m = m -
{ "pile_set_name": "DM Mathematics" }
2*v(f). What is the derivative of q(x) wrt x? 93 Let d(h) be the third derivative of -h**7/42 + h**5/20 + 37*h**4/8 + 2*h**2 + 16*h. What is the second derivative of d(r) wrt r? -60*r**2 + 6 Let v(p) be the third derivative of 305*p**4/24 + 389*p**3/6 + 41*p**2 - 6*p. Find the first derivative of v(d) wrt d. 305 Let o(f) be the first derivative of 340*f**3/3 + 7*f**2/2 + 9*f - 998. What is the second derivative of o(k) wrt k? 680 Let x(g) = -8*g**4 + 72*g**3 - 2*g**2 + 4*g - 58. Let r(p) = -p**4 - p**2 + p - 1. Let j(t) = 2*r(t) - x(t). What is the second derivative of j(o) wrt o? 72*o**2 - 432*o Let d = 8 + 4. Suppose 0 = 4*x - c - d, 4*x = 4*c - 12 + 36. Find the third derivative of -3*n**2 + 4*n**2 - 4*n**6 - 6*n**x wrt n. -480*n**3 Let i = -52 + 90. Differentiate -4*c**4 - i + 69 - 36 wrt c. -16*c**3 Let s(l) be the second derivative of -70*l**3/3 - 229*l**2/2 - 360*l. What is the derivative of s(f) wrt f? -140 Let x(w) be the third derivative of 0 + 0*w**5 + 6*w**2 - 7/12*w**4 + 0*w**6 + 0*w**3 - 8/105*w**7 + 0*w. What is the second derivative of x(k) wrt k? -192*k**2 Let w(b) = -10*b**3 + 4*b**2 + 4*b - 8. Let h(z) = z**2 + z. Suppose 6*m = 2*m - 16, 3*l = -2*m - 20. Let u(n) = l*h(n) + w(n). Differentiate u(i) wrt i. -30*i**2 Let a(n) be the first derivative of -n**4/2 - 4*n**3/3 - 15*n**2/2 - 108. What is the second derivative of a(z) wrt z? -12*z - 8 Let x(n) be the first derivative of 7*n**5 + 0*n**2 + 13/3*n**3 + 0*n**4 + 24 + 0*n. What is the third derivative of x(t) wrt t? 840*t Find the third derivative of 5*h**2 - 847*h**3 + 833*h**3 + 1 + 3 + 0*h**2 wrt h. -84 Let k(q) be the second derivative of 59*q**3/6 + 101*q**2/2 + 44*q + 2. Differentiate k(n) wrt n. 59 Let b(p) = -p**3 + 3*p**2 + 6*p - 6. Let k be b(4). What is the third derivative of 8*l**4 + 29*l**2 - l**k - 6*l**4 + 33*l**4 wrt l? 840*l Let f(z) = 76*z**3 - 8*z**2 - 84*z. Let r(m) = m**3 - m**2 - m. Let g(q) = f(q) - 8*r(q). Find the second derivative of g(l) wrt l. 408*l Let a(d) = 13*d - 55. Let o(l) = -l**3 - 7*l + 27. Let r(k) = -3*a(k) - 5*o(k). What is the first derivative of r(u) wrt u? 15*u**2 - 4 Let t(f) be the first derivative of 171*f**4/4 + 172*f - 112. Differentiate t(i) wrt i. 513*i**2 Let a be (29/(-1))/(-1)*1. Let u = -26 + a. Find the second derivative of 2*z**u + 5*z**3 + z - 2*z - 2*z wrt z. 42*z Let c(x) be the third derivative of -x**8/336 - 43*x**6/120 - x**5/20 - 11*x**3/3 + 192*x**2. Find the third derivative of c(b) wrt b. -60*b**2 - 258 Let d(t) be the third derivative of t**7/35 + t**4/4 - 119*t**3/3 + 199*t**2. Differentiate d(m) with respect to m. 24*m**3 + 6 Let s(l) be the third derivative of -223*l**5/60 - 33*l**4/2 + 100*l**2 + 2. Find the second derivative of s(d) wrt d. -446 Let m(f) = f**4 + 1. Let i(t) = -t**5 - 317*t**4 + 600*t**2 - 4. Let p(x) = -i(x) - 4*m(x). What is the third derivative of p(b) wrt b? 60*b**2 + 7512*b Let u(j) = 2*j - 48. Let g be -1 + 0 + (-16 - -10). Let q(n) = n - 24. Let a(b) = g*q(b) + 4*u(b). What is the first derivative of a(p) wrt p? 1 Let n(b) = 405*b**4 + 7*b**3 - 7*b + 618. Let f(r) = -270*r**4 - 5*r**3 + 5*r - 412. Let u(o) = 7*f(o) + 5*n(o). What is the derivative of u(z) wrt z? 540*z**3 Let b(c) be the first derivative of -163*c**3/3 + 12*c**2 + 2*c + 77. Find the second derivative of b(k) wrt k. -326 Let s(g) be the second derivative of -g**6/10 - 9*g**5/10 + 181*g**3/6 - 15*g + 2. What is the second derivative of s(w) wrt w? -36*w**2 - 108*w What is the third derivative of -2*a**2 - 9*a**4 + 2*a + 21*a**4 + 4*a - 2*a + 5*a**2 - 2*a**3 wrt a? 288*a - 12 Let r be 1*-2 + -1 + (-190)/(-60). Let a(c) be the third derivative of 0 - 6*c**2 - 1/8*c**4 + 0*c - r*c**3. What is the derivative of a(m) wrt m? -3 Let y(l) = l**2 + 4*l + 6. Let s(i) = 2*i + 6. Let p be s(-5). Let w be y(p). What is the third derivative of t**2 + 49*t - 49*t - w*t**6 wrt t? -720*t**3 Let v(c) be the third derivative of 0*c - 11/210*c**7 + 0 + 0*c**5 - 5/12*c**4 - 3*c**2 + 0*c**3 + 0*c**6. What is the second derivative of v(o) wrt o? -132*o**2 Let z be (-6)/5*(-15)/6. What is the third derivative of -10*h**2 + 3*h**2 - 28*h**z + 26*h**3 wrt h? -12 Suppose -13*b + 36 = -9*b. Differentiate -13 + 17 - 17 - b*h with respect to h. -9 Suppose 2*y - 4 = 14. Let s = -4 + y. Find the second derivative of 0*v - 2*v - v**5 - 4*v**5 + 6*v**s wrt v. 20*v**3 Let j(z) be the first derivative of -z**5/10 - z**4/2 - 10*z**3/3 + 10. Let r(t) be the third derivative of j(t). Differentiate r(s) with respect to s. -12 What is the first derivative of 95 - 16 + 45*v**3 + 43*v**3 + 30 wrt v? 264*v**2 Let c(v) be the first derivative of v**7/7 + 97*v**6/3 - 2*v**3 + 2*v**2 - 109. What is the third derivative of c(d) wrt d? 120*d**3 + 11640*d**2 Suppose 5*u + 2*t = u + 22, -3*u + 3*t + 21 = 0. Let y = 7 + 24. What is the first derivative of 27 + a + u*a - y wrt a? 7 Differentiate -87 - 162*s**2 + 162*s**2 + 106*s**3 - 1 wrt s. 318*s**2 Let q(f) be the second derivative of 42*f**5/5 + 695*f**3/6 - 245*f + 2. Find the second derivative of q(u) wrt u. 1008*u What is the derivative of -2*j - 635*j**3 + 37 - 131*j**4 - 118*j**4 + 635*j**3 wrt j? -996*j**3 - 2 Let n be 13/((-2)/(3 + -1)). Let l be (-3)/12*0 - n. Find the second derivative of l - 13 + 2*t - t**3 - 6*t wrt t. -6*t Let a(o) be the third derivative of -121*o**4/24 - 143*o**3/6 - 9*o**2 + 10*o. What is the first derivative of a(w) wrt w? -121 Suppose -29*w - 12*w + 164 = 0. Let g(m) be the first derivative of 9/5*m**5 + 0*m**3 + 5*m**2 + 0*m**w - 2 + 0*m. Find the second derivative of g(q) wrt q. 108*q**2 Find the second derivative of -1939 + 14*a**2 + 1939 + 28*a + a**4 wrt a. 12*a**2 + 28 Let x = -53 + 59. What is the third derivative of 4*w**4 + 5*w**4 + 4*w**2 - x*w**4 + 7*w**4 wrt w? 240*w Find the third derivative of -4*s**4 - 10*s**5 + 10*s - 3*s**5 + 11*s + 15*s - 34*s + 3*s**2 wrt s. -780*s**2 - 96*s Let p be -4 + 18 + -3 + -1. Suppose 6*r - 2 = p. What is the third derivative of -3*i**3 + 2*i**2 + i**r + 0*i**2 + 5*i**2 wrt i? -18 Find the second derivative of -58*x + 65*x**4 + 31 - 13 - 4 - 15 wrt x. 780*x**2 Let p(y) be the third derivative of 32*y**7/21 - 239*y**4/24 + 126*y**2. What is the second derivative of p(l) wrt l? 3840*l**2 Let q = 50 - 32. What is the second derivative of q*y**4 - 13*y - 6*y**4 + 5*y**4 wrt y? 204*y**2 Let j(p) = -396*p**3 + 9*p**2 + 1935. Let y(f) = -99*f**3 + 2*f**2 + 484. Let a(k) = 2*j(k) - 9*y(k). What is the first derivative of a(c) wrt c? 297*c**2 Let f(z) be the second derivative of 103*z**4/6 - 10*z**3 - 242*z. Find the second derivative of f(n) wrt n. 412 Let l = -4 - -8. Let r = l + -1. What is the third derivative of 4*f**2 - 2*f**r - 4 + 4 wrt f? -12 Let u(l) be the third derivative of l**5/10 + l**4/2 + 80*l**2. What is the second derivative of u(w) wrt w? 12 Suppose -g + 74 + 64 = 0. Let a be 2/12 - g/(-36). What is the third derivative of w**4 + 44*w + w**2 - a*w**2 - 44*w wrt w? 24*w Let i(b) = 100*b + 107. Let y(n) = -199*n - 215. Let a(l) = 13*i(l) + 6*y(l). What is the first derivative of a(g) wrt g? 106 Suppose -4*v + 2*c + 18 = 0, 3*v + 2 = -2*c + 5. Let z be v - (-1 - 1/1). What is the second derivative of 42*k + 3*k**5 - 43*k - 6*k**z wrt k? -60*k**3 Let c = 49 + -41. Differentiate -c*b - 9 - 8 - 6 with respect to b. -8 Let x be ((-7)/(-4))/(8/32). Let v = -3 + x. Find the third derivative of 2*m**2 + m**2 + 2 - 2*m**v - 2 wrt m. -48*m Let g be 0/((5/(-10))/(4/16)). Let p(c) be the first derivative of c**4 - 5/2*c**2 + g*c + 0*c**3 - 2. What is the second derivative of p(z) wrt z? 24*z Let i(j) = 2*j**2 + 5*j + 3. Let k be i(-3). Let a be (-15)/k*(-36)/15. What is the first derivative of 1 + a*l**4 + 4*l**4 + 0 - 4 wrt l? 40*l**3 Let g(v) = 105*v**4 + 6*v**3 - 10*v**2 + 11. Let j(p) = -106*p**4 - 7*p**3 + 9*p**2 - 12. Let b(c) = 7*g(c) + 6*j(c). Find the third derivative of b(q) wrt q. 2376*q Suppose -4*r + 43 = -1. Find the second derivative of 24*a**5 + 12*a**5 + 32*a - r*a**5 wrt a. 500*a**3 Suppose -314 = -2*y - 0*y + 5*c, 0 = -2*y + 4*c + 314. Suppose -y - 71 = -2*i. Find the third derivative of -5*k**3 + 5*k**2 + i*k - 114*k wrt k. -30 Let w(s) be the third derivative of 0*s**6 + 0*s**5 + 0*s**4 + 0*s + 3/2*s**3 + 1/70*s*
{ "pile_set_name": "DM Mathematics" }
he second biggest value? (a) 4 (b) k (c) 1.3 a Let q = -634 - -634. Which is the third smallest value? (a) q (b) 3 (c) -0.2 b Let d = 80 - 102.5. Let m = 23 + d. What is the biggest value in m, 3/5, 1? 1 Let t = 1006 + -990. Which is the second smallest value? (a) -4/21 (b) t (c) -10 a Let z = 29484 - 29495.939. Let d = z + -0.061. Let i = 11.9 + d. What is the second smallest value in i, -4, 3? i Let g = -8036 - -8036. Which is the biggest value? (a) 1 (b) 9/20 (c) g a Let b = 5 + -7. Let q = -18839.5 + 18839. What is the biggest value in q, b, 0.5, -1/5? 0.5 Let m(f) = -f**2 - 11*f + 45. Let b be m(-14). Let x be (5/(-15))/(b/(-38)) + -4. Let y = 61 + -125/2. What is the fourth biggest value in 1/3, x, y, 2? y Suppose -3*q + 3*f - f - 3 = 0, 3*q - 4*f = -3. Let c be ((-4560)/209)/40 + (-2)/(-110)*-14. What is the second smallest value in c, -8, q? q Let n = -3026 + 3022. Let d be ((-9)/(-99))/(2/4). Which is the second smallest value? (a) -0.2 (b) n (c) d a Let q = 0.185 - -0.302. Let m = q + 189.513. What is the smallest value in m, -1/3, 0.3? -1/3 Let w = -93/4 + 23. Let n = 24 + -21. Which is the smallest value? (a) w (b) 8 (c) n a Let t be (-2)/(-20)*(-5)/2. Let o be (-96)/20*(-795)/(-6). Let m = o - -1909/3. Which is the biggest value? (a) -5 (b) m (c) 5 (d) t c Let q = -0.08848 + -0.01152. What is the fourth biggest value in -9, -1.6, -2, q? -9 Let o = -244 - -255. What is the fifth smallest value in -2/17, -0.5, -2/5, o, -4? o Let w = 6507 + -6506.6. Which is the second biggest value? (a) -14 (b) w (c) -3.6 c Let b = -0.01 + 0.01. Let u = 1021 - 1016. Let o = -4.1 - -4. What is the smallest value in o, u, b? o Let q = 2765 + -2765.3. What is the second smallest value in q, 7, -1/12? -1/12 Let j(t) = -7*t + 121. Let n be j(18). What is the second smallest value in 3, n, -4/11, -3? -3 Let p = 1.352 + -1.352. Which is the biggest value? (a) p (b) -237 (c) -1 a Let p = 12098 + -12095. Which is the third biggest value? (a) p (b) -14 (c) -3/10 b Let d = -129/4 - -32. Let f = 7.3 + -7.4. Let j = -5.1 - f. Which is the second biggest value? (a) d (b) 2/7 (c) j a Let n be (-90)/40 - (1/(4/12))/(-1). Which is the third smallest value? (a) -0.18 (b) 5/8 (c) n (d) -0.1 b Let g be (-9)/(-126)*-4*7. Which is the fourth biggest value? (a) 17 (b) -1/4 (c) -0.3 (d) g d Let x be -33 - ((-12)/(-18)*3 + -7) - 0. Which is the biggest value? (a) x (b) -0.02 (c) 1 c Let o be (-116)/20 + 7 - 74/70. Let r = -35.3 + 34. Let l = -1.5 - r. Which is the smallest value? (a) 0 (b) l (c) o (d) -1/7 b Let d = 45.914 - 46. Let y = d + -50.914. Let p = y - -46. What is the fourth biggest value in 0, 2/15, 2/3, p? p Let j = -3.2 + -0.8. Let t = 15724 - 94345/6. Which is the second smallest value? (a) j (b) t (c) 0.02 b Let x = 12.5 - 13. Let s = -12.369 + 11.969. Which is the fourth smallest value? (a) s (b) -8 (c) x (d) -4 a Let x = -4.719 + 4.7. Let r = 4194 - 4198.981. Let n = x + r. Which is the second smallest value? (a) -4 (b) 0.2 (c) n a Let c = 34046/4185 - 220/27. Let h = c - 151/310. Let p = 0 - 0.1. What is the biggest value in p, -3, h? p Let i = 87.71 - 88.01. Which is the second biggest value? (a) -0.01 (b) i (c) 5 (d) -3/17 a Let l be ((-1)/1*1)/(-5 - (-99)/33). What is the fourth biggest value in l, -2/3, 3, -1/6? -2/3 Let h = -0.012 - -2.012. Let l be 2 - (-2 + -11 + 12). Which is the biggest value? (a) l (b) 3/5 (c) h a Let k = -103187/8 + 12898. What is the biggest value in 11, k, -1, -1/2? 11 Let n = 0.15 - 0.45. Let m = 363 + -365.17. Let x = 2.2 + m. What is the biggest value in x, -4, n? x Let y = -0.04 - -4.04. Let h be (4 + -158)*(9/6 + -2). Let f = -77 + h. What is the biggest value in f, -4/3, -1, y? y Let t = 0.388 - -156.612. Let p = t + -162. Which is the biggest value? (a) p (b) -0.21 (c) 0 c Let r = 4.62 + -4.636. Let p be (6/21)/((-3)/7). Which is the second biggest value? (a) p (b) -0.3 (c) -0.4 (d) r b Let s = 8645 - 25937/3. Which is the third biggest value? (a) s (b) 2/9 (c) 0 (d) 0.19 c Let k be 10/(-27)*((-11)/((-330)/(-12)) + 1). Let o = 172/45 + -38/9. What is the second smallest value in k, 3, o, -0.2? k Let k be 4/34 + (-1077)/51. Let q be (28/k)/(1/9). Let b(o) = 5*o + 55. Let j be b(q). What is the smallest value in -2/19, -0.5, j? j Let q = -5837 - -5836. What is the biggest value in 2, 603, 0, q? 603 Let i = 0.43 - -376.57. What is the second biggest value in -2, 5, i? 5 Let u be (-4 + 7)/(5*27/360). Let c = -11.4 + 11. What is the biggest value in c, -0.5, -1/3, u? u Let w = 25.42 + -22.42. Let f be ((-2)/16)/(1/(-6)). Let k = -5.1 + 2.1. Which is the third smallest value? (a) k (b) w (c) f b Let q = -25678/3 + 25679/3. Which is the third smallest value? (a) 1 (b) -4 (c) q (d) 44 a Let d = -3810 + 3811. What is the third biggest value in -0.01, -5, d? -5 Let z = 6.5 + -7. Let q = -0.08547 - -2.08547. Which is the second smallest value? (a) 60 (b) 1/3 (c) q (d) z b Let m = -30.68 - -29.68. What is the second smallest value in -3, m, -25? -3 Let m = -44323/3 - -14773. What is the biggest value in -2, -93, m? m Let r be ((-45)/54)/(1 + (-56)/21). Which is the second biggest value? (a) r (b) 0.2 (c) -481/2 b Let w = -8/1257 - -3835/10056. Let h = -1.8 - -1.63. What is the second smallest value in w, h, 3, 5? w Let r = 967 - 967. Let p = -23 + 27. Which is the fourth biggest value? (a) -4 (b) p (c) r (d) -29 d Let h = -6168 + 6168.7. What is the second smallest value in -4, h, 2/7, -0.08? -0.08 Let y = -5 - -4. Let x = -109 - -290. Let f = x - 180.7. Which is the third biggest value? (a) 7 (b) f (c) y c Let i = -131 + 209. Let q = -80 + i. Which is the smallest value? (a) q (b) 20 (c) -0.3 a Let f = -49.678 - -50. Let m = 1.323 + -1.245. Let a = m + f. What is the smallest value in a, 4/3, 7/5? a Let u = -7394 - -7385. What is the fourth biggest value in 0.05, -0.2, 5/4, u, -5? -5 Let m be (4 - 6/4)*3/(-5). Let l = 57.017 + -0.017. Let k = l + -54. Which is the third biggest value? (a) k (b) -0.2 (c) m c Let x = -0.4 - 0.2. Let n = 2107 + -2108. Which is the third biggest value? (a) 3/5 (b) x (c) n c Suppose 6*h - h - 170 = 0. Let d = h - 100/3. What is the smallest value in d, -4, -0.2? -4 Let h = 3.86 + -1.86. What is the fifth smallest value in -0.2, 21, 0.1, 0.5, h? 21 Let s(n) = 36*n - 63. Let j be s(-7). Let v be 5/(j/(-24))*(-3)/4. Which is the third smallest value? (a) v (b) -3 (c) 0.3 (d) -0.16 d Let y = -0.1 - -0.13. Let p be 3 - ((-58)/(-18) + 0). Let s be ((-36)/(-10) - 1) + -2 - 0. Which is the smallest value? (a) y (b) s (c) p c Let i = -8889 - -8951221/1007. Let f = i + -1988/13091. What is the smallest value in -0.5, f, -1? -1 Let j = -4461/13 + 343. Let n be 2/11 - ((-7276)/(-88) + -5). Let h = -455/6 - n. Which is the third biggest value? (a) -2/7 (b) h (c) 0 (d) j d Suppose 0 = 5*v - 4*x - 57, -x = -0*x + 3. Let h = v - 7. Let g = 2 - 4. Which is the third smallest value? (a) g (b) h (c) 2/5 b Let x = 191.3 + -191. Let q(r) = r**2 - 5*r - 8. Let t be q(6). Let v be (-950)/(-35) + 12/(-84). Which is the second smallest value? (a) v (b) x (c) t b Let k = -1.1 - -1.44. Let o = 0.06 + k. Let y = -5.7 + 7.7. Which is the third smallest value? (a) y (b) -1/3 (c) o a Let k = -6 + 4. Let i = 2 + k. Suppose -4*m + 0*m = 4*h, m = -5*h + 12. Which is the second smallest value? (a) h (b) 3/5 (c) i b Let h = -3354 - -3354.24. What is the smallest value in h, -0.018, -2? -2 Let f be (-63074)/732*(-1)/228. Let s = -1/342 + f. Let j = -0.2 - 0.8. Which is the second smallest value? (a) s (b) j (c) 5/4 (d) 15 a Let n be 0*(3 + -8)/5. Let c be 46/4 + (1 - (-8)/16). What is the third biggest value in 2, n, c? n Let z = -2526 - -2527. Which is the second smallest value? (a) -2/9 (b) 3 (c) 5 (d) z (e) -9 a Let a = 21000.9 + -21001. What is the third biggest value in 2/173, a, -2/11, 3/4? a Let b be 4/(-62) - (-703)/1767. What is the third biggest value in b, -2/7, 4/5, 3? b Let u be (6 - 1) + ((-63687)/(-156))/(-71). Let w = -1.1 + -0.9. Which is the smallest value? (a) 5/3 (b) w (c) u b Let f = -4.6 + 5.63. Let i = 88.17 + f. Let r = i + -89. What is the second smallest value in 2, r,
{ "pile_set_name": "DM Mathematics" }
*g**3 + 7689*g**2 + 5520*g + 576 = 0. Calculate g. -8, -3, -1, -1/8 Factor 4*x**4 + 8*x**3 - 48*x**2 + 56*x - 20. 4*(x - 1)**3*(x + 5) Find p, given that -2*p**5 + 36*p**3 + 64*p**2 + 30*p = 0. -3, -1, 0, 5 Factor -4*n**3 - 96*n**2 + 324*n. -4*n*(n - 3)*(n + 27) What is d in 100*d**5 + 2420*d**4 + 20716*d**3 + 69500*d**2 + 42688*d - 135424 = 0? -8, -23/5, 1 Factor -121*v**5/3 - 99*v**4 - 58*v**3 + 50*v**2/3 + 13*v - 3. -(v + 1)**3*(11*v - 3)**2/3 Let 2*r**3/9 + 176*r**2/9 + 514*r/9 + 340/9 = 0. What is r? -85, -2, -1 Let -2*u**4/3 - 324*u**3 - 117122*u**2/3 + 79056*u - 119072/3 = 0. What is u? -244, 1 Factor -2*n**4/5 + 18*n**3/5 - 52*n**2/5 + 48*n/5. -2*n*(n - 4)*(n - 3)*(n - 2)/5 Find z, given that -3*z**3/2 + 330*z**2 - 18150*z = 0. 0, 110 Suppose 2*b**2/19 + 40*b/19 + 128/19 = 0. Calculate b. -16, -4 Suppose 3*b**2 + 135*b = 0. Calculate b. -45, 0 What is u in 2*u**3 + 12*u**2 + 22*u + 12 = 0? -3, -2, -1 Factor -2*z**5/3 - 168*z**4 - 32744*z**3/3 - 41664*z**2 - 123008*z/3. -2*z*(z + 2)**2*(z + 124)**2/3 Find s, given that -2*s**3 + 84*s**2 + 2*s - 84 = 0. -1, 1, 42 Suppose 2*z**3/11 - 14*z**2/11 + 28*z/11 - 16/11 = 0. What is z? 1, 2, 4 Factor 3*v**2/4 + 3*v/2 - 6. 3*(v - 2)*(v + 4)/4 Factor -4*t**2 + 192*t + 400. -4*(t - 50)*(t + 2) Suppose l**5 + 11*l**4 + 42*l**3 + 54*l**2 - 27*l - 81 = 0. Calculate l. -3, 1 Find i, given that -15*i**3 - 24*i**2 + 2157*i - 858 = 0. -13, 2/5, 11 Factor 11*r**4/2 - 30*r**3 + 48*r**2 - 8*r - 24. (r - 2)**3*(11*r + 6)/2 Determine q so that -27*q**5 - 171*q**4 + 2076*q**3 + 2964*q**2 + 1008*q = 0. -12, -2/3, 0, 7 Suppose -f**3/5 - 24*f**2/5 - 41*f/5 + 66/5 = 0. Calculate f. -22, -3, 1 Factor 2*r**2/17 - 134*r/17 - 568/17. 2*(r - 71)*(r + 4)/17 Find k, given that k**3/6 - 95*k**2/3 - 383*k/6 - 32 = 0. -1, 192 Factor -3*p**5/5 + 204*p**4/5 - 5202*p**3/5 + 58956*p**2/5 - 250563*p/5. -3*p*(p - 17)**4/5 Solve -4*z**3/3 - 2*z**2 - 2*z/3 = 0. -1, -1/2, 0 Determine f so that -5*f**2 + 95*f - 390 = 0. 6, 13 Factor -2*h**3/5 - 6*h**2 - 126*h/5 - 98/5. -2*(h + 1)*(h + 7)**2/5 Find t, given that -5*t**3/9 + 317*t**2/9 + 194*t/9 - 128/9 = 0. -1, 2/5, 64 Factor 4*z**4 + 12*z**3 - 16*z**2 - 48*z. 4*z*(z - 2)*(z + 2)*(z + 3) Factor -2*x**4 - 24*x**3 - 86*x**2 - 120*x - 56. -2*(x + 1)*(x + 2)**2*(x + 7) Find k, given that 4*k**4 - 36*k**3 + 100*k**2 - 108*k + 40 = 0. 1, 2, 5 Determine s, given that 4*s**4/5 + 208*s**3/5 + 40*s**2 - 208*s/5 - 204/5 = 0. -51, -1, 1 Factor 3*n**2 + 126*n + 1311. 3*(n + 19)*(n + 23) Factor o**4/5 - 43*o**3/5 + 32*o**2 - 156*o/5. o*(o - 39)*(o - 2)**2/5 What is n in -4*n**3 + 19852*n**2 - 24621440*n - 24641296 = 0? -1, 2482 Let -15*q**5 - 110*q**4 - 130*q**3 + 260*q**2 + 145*q - 150 = 0. Calculate q. -5, -3, -1, 2/3, 1 Factor 3*j**4 + 6*j**3 - 3*j**2 - 6*j. 3*j*(j - 1)*(j + 1)*(j + 2) Find h, given that -16*h**4 - 506*h**3 - 3894*h**2 + 1856*h + 2560 = 0. -16, -5/8, 1 Factor 2*u**3/3 - 26*u**2/3 + 100*u/3 - 112/3. 2*(u - 7)*(u - 4)*(u - 2)/3 Solve -x**2/2 - 23*x/2 = 0. -23, 0 Solve 2*j**3/5 - 38*j**2/5 + 14*j - 34/5 = 0 for j. 1, 17 Suppose -2*a**3/3 + 4*a**2/9 + 2*a/9 = 0. What is a? -1/3, 0, 1 Factor 2*t**4/7 + 2*t**3/7 - 16*t**2/7 - 24*t/7. 2*t*(t - 3)*(t + 2)**2/7 Factor -p**3/6 + 169*p**2/6 + p/6 - 169/6. -(p - 169)*(p - 1)*(p + 1)/6 Factor t**2/7 - 62*t + 6727. (t - 217)**2/7 What is i in -3*i**5/2 + 9*i**4/2 + 99*i**3/2 - 321*i**2/2 + 162*i - 54 = 0? -6, 1, 6 Let 2*v**2/7 + 26*v + 528/7 = 0. Calculate v. -88, -3 Factor 6*b**2 + 165*b + 81. 3*(b + 27)*(2*b + 1) Factor 87*z**2/7 - 24*z - 12/7. 3*(z - 2)*(29*z + 2)/7 Factor 44*a**4 - 104*a**3 + 76*a**2 - 16*a. 4*a*(a - 1)**2*(11*a - 4) Suppose -2*p**2 - 20156*p - 50783042 = 0. Calculate p. -5039 Determine c so that -3*c**2/5 - 2286*c/5 - 435483/5 = 0. -381 Determine f so that -f**5/4 + 11*f**4/2 - 77*f**3/2 + 100*f**2 - 421*f/4 + 77/2 = 0. 1, 2, 7, 11 Factor d**4/5 - 108*d**3 + 71262*d**2/5 + 88452*d + 670761/5. (d - 273)**2*(d + 3)**2/5 Factor 2*f**3 + 42*f**2 - 48*f - 88. 2*(f - 2)*(f + 1)*(f + 22) Suppose 2*j**5/5 + 76*j**4/5 = 0. What is j? -38, 0 Factor -2*h**4 - 24*h**3 + 84*h**2 - 88*h + 30. -2*(h - 1)**3*(h + 15) Factor 306*u**2 - 321*u - 42. 3*(6*u - 7)*(17*u + 2) Let t**2/4 - t/4 - 3 = 0. Calculate t. -3, 4 Solve -2*k**4/9 - 46*k**3/9 - 112*k**2/3 - 640*k/9 + 1024/9 = 0 for k. -8, 1 Suppose 3*i**3/7 + 15*i**2/7 - 99*i/7 + 81/7 = 0. Calculate i. -9, 1, 3 Factor 4*d**3 - 28*d**2 + 24*d. 4*d*(d - 6)*(d - 1) Let -m**4/3 - 4592*m**3/3 - 2635808*m**2 - 6051815168*m/3 - 1736870953216/3 = 0. Calculate m. -1148 Factor -3*d**2 - 18*d - 27. -3*(d + 3)**2 Determine l so that 135*l**5/8 - 189*l**4/8 - 213*l**3/8 + 105*l**2/8 - 3*l/4 = 0. -1, 0, 1/15, 1/3, 2 Find a such that -2*a**3 - 74*a**2 - 124*a + 560 = 0. -35, -4, 2 What is t in 2*t**3/5 + 462*t**2/5 + 5382*t + 5290 = 0? -115, -1 Factor -z**3/11 + 84*z/11 + 160/11. -(z - 10)*(z + 2)*(z + 8)/11 Determine m so that -m**5/4 + 13*m**4/4 + m**3/4 - 13*m**2/4 = 0. -1, 0, 1, 13 Factor -g**2/4 + 45*g/4 + 23/2. -(g - 46)*(g + 1)/4 What is q in 20*q**4/3 - 858*q**3 + 2534*q**2 - 7562*q/3 + 838 = 0? 1, 1257/10 Factor -5*d**4/2 + 10*d**3 + 75*d**2/2 - 45*d. -5*d*(d - 6)*(d - 1)*(d + 3)/2 Find x such that x**3/6 - 69*x**2 - 277*x/2 - 208/3 = 0. -1, 416 Factor 2*c**3/5 - 1024*c**2/5 + 130042*c/5 + 264196/5. 2*(c - 257)**2*(c + 2)/5 Let -3*i**5 - 6*i**4 + 6*i**2 + 3*i = 0. Calculate i. -1, 0, 1 Let 2*g**2/5 - 18632*g/5 + 43393928/5 = 0. Calculate g. 4658 Let -2*a**5 - 10*a**4 - 10*a**3 + 10*a**2 + 12*a = 0. Calculate a. -3, -2, -1, 0, 1 Let -3*z**2/5 - 141*z/5 + 156 = 0. Calculate z. -52, 5 Factor -2*w**5/15 - 16*w**4 - 1660*w**3/3 - 4400*w**2 - 30250*w/3. -2*w*(w + 5)**2*(w + 55)**2/15 Factor -3*d**5 - 24*d**4 + 18*d**3 + 168*d**2 + 201*d + 72. -3*(d - 3)*(d + 1)**3*(d + 8) Solve -5*p**3 - 9150*p**2 + 18315*p - 9160 = 0. -1832, 1 Solve -3*u**4 - 138*u**3 - 1155*u**2 = 0 for u. -35, -11, 0 Find j, given that -4*j**5 + 104*j**4 - 660*j**3 + 1584*j**2 - 1296*j = 0. 0, 2, 3, 18 Find j, given that -3*j**4 - 21*j**3 + 195*j**2 + 693*j = 0. -11, -3, 0, 7 Factor -3*y**3/7 - 219*y**2 - 195072*y/7 + 196608/7. -3*(y - 1)*(y + 256)**2/7 Let -10*p**4 + 5*p**3 + 45*p**2 - 20*p - 20 = 0. Calculate p. -2, -1/2, 1, 2 Suppose j**3/10 + 13*j**2/10 + 23*j/10 + 11/10 = 0. What is j? -11, -1 Factor -112*o**2 - 228*o - 8. -4*(o + 2)*(28*o + 1) Suppose 2*s**3/5 - 10*s**2 + 44*s/5 + 96/5 = 0. Calculate s. -1, 2, 24 Find u, given that -2*u**4 - 488*u**3 - 30252*u**2 - 59048*u - 29282 = 0. -121, -1 Factor 4*n**5 - 31*n**4 + 44*n**3 - 11*n**2 - 6*n. n*(n - 6)*(n - 1)**2*(4*n + 1) Factor -u**2/8 - 17*u/4 + 9. -(u - 2)*(u + 36)/8 Factor 16*x**2/15 - 166*x/15 + 4. 2*(x - 10)*(8*x - 3)/15 Solve 3*q**3 + 51*q**2 - 174*q + 120 = 0 for q. -20, 1, 2 Suppose 5*l**3 - 540*l**2 + 19440*l - 233280 = 0. Calculate l. 36 Factor -516*j**3/5 - 237*j**2/5 - 27*j/5. -3*j*(4*j + 1)*(43*j + 9)/5 Factor 2*y**2/7 + 16*y/7 + 30/7. 2*(y + 3)*(y + 5)/7 Find o such that 5*o**3 - 5*o = 0. -1, 0, 1 Factor -i**5 - i**4 + 2*i**3 + 2*i**2 - i - 1. -(i - 1)**2*(i + 1)**3 Determine u, given that -18*u**4/7 + 562*u**3/7 - 2914*u**2/7 + 410*u - 500/7 = 0. 2/9, 1, 5, 25 What is m in -m**4/4 + 133*m**3/2 + 1355*m**2/4 = 0? -5, 0, 271 Factor -5*f**2 - 195*f + 200. -5*(f - 1)*(f + 40) Determine p so that 5*p**2 - 40*p + 80 = 0. 4 Factor -2*k**2/9 - 94*k/9. -2*k*(k + 47)/9 Find r, given that -3*r**5/8 - 3*r**4 - 51*r**3/8 + 21*r**2/4 + 63*r/2 + 27 = 0. -3, -2, 2 Determine g so that 4*g**2 - 2744*g + 470596 = 0. 343 Determine k so that 4*k**5/3 - 4*k**3/3 = 0. -1, 0, 1 Factor -5*h**5 + 135*h**4 + 1725*h**3 - 50255*h**2. -5*h**2*(h - 23)**2*(h + 19) Factor 3*k**4 - 6*k**3 - 3*k**2 + 6*k. 3*k*(k - 2)*(k - 1)*(k + 1) Suppose 2*v**5/9 + 19*v**4/3 + 169*v**3/9 - 194*v**2/9 - 380*v/3 - 1000/9 = 0. What is v? -25, -2, 5/2 Factor -5*b**3 - 2190*b**2 - 4365*b - 2180. -5*(b + 1)**2*(b + 436) Solve -9*m**2 + 209*m - 46 = 0. 2/9, 23 Factor 3*i**5/2 - 9*i**4 + 39*i**3/2 - 18*i**2 + 6*i. 3*i*(i - 2)**2*(i - 1)**2/2 Determine r, given that 3*r**4/5 + 9*r**3 - 3*r**2/5 - 9*r = 0. -15, -1, 0, 1 Factor -5*n**3 + 425*n**2 + 885*n - 1305. -5*(n - 87)*(n - 1)*(n + 3) Find r, given that -2*r**3/7 - 62*r**2/7 - 260*r/7 = 0. -26, -5, 0 Factor -2*r**3/17 - 6*r**2/17 + 12*r/17 + 16/17. -2*(r -
{ "pile_set_name": "DM Mathematics" }
). Let w = 4 - -27. Let o = w + b. Calculate the remainder when 113 is divided by o. 26 Let g(j) = 3*j**2 + 267*j - 2204. Calculate the remainder when 11654 is divided by g(8). 122 Let t = 3230 + -3175. What is the remainder when 163 is divided by t? 53 Suppose 5820 = 142*x + 1986. Let u = 162 + -28. What is the remainder when u is divided by x? 26 Suppose 8*d - 116 + 20 = 0. Suppose 0 = 4*l + d, -17*p + 13*p - l + 229 = 0. Let a = -3 + 13. What is the remainder when p is divided by a? 8 Let z(m) = 478*m + 2080. Calculate the remainder when 1186 is divided by z(-4). 10 Let t be 3*8/6 - (-2)/(-2). Suppose -p = -5*l + 129, t*l = -0*l + 2*p + 83. Calculate the remainder when 64 is divided by l. 14 Let u(z) = -12*z**2 + 110*z + 16. Calculate the remainder when u(9) is divided by 7/((10/(-8))/(-5)). 6 Let y(f) = 8*f - 64. Let p be y(-17). Let r = -179 - p. Calculate the remainder when 207 is divided by r. 18 Let x be (1*(-1)/4)/((-32)/640). Suppose -46 = x*o - 2*a - 866, 0 = -o + 2*a + 156. Let d = -53 + o. Calculate the remainder when d is divided by 29. 26 Let g = 2277 - 2218. Suppose -45 = -j - 2*j. Suppose g = j*c - 196. What is the remainder when 65 is divided by c? 14 Let p = -333 - -553. Suppose -55 = -k + 4*a, -4*k + 7*k - p = a. What is the remainder when k is divided by 39? 36 Suppose -4*k + 105 = 69. Let y be (-2 - -6 - 38)*2. Let d = y - -101. What is the remainder when d is divided by k? 6 Suppose 68*m - 183609 = 189439. Calculate the remainder when m is divided by 110. 96 Let a(r) = -r**2 - 104*r + 2742. Calculate the remainder when a(21) is divided by 75. 42 Let b be ((-3025)/(-2))/(-11)*2. Let x = b - -297. Calculate the remainder when 217 is divided by x. 19 Suppose 2*u = 3*i + 393, 14*u - 7*u - i = 1423. Let w = u - 109. Calculate the remainder when w is divided by 25. 20 Suppose -13*n - n + 2072 = 0. Calculate the remainder when n is divided by 84. 64 Let d be 5/((-25)/(-115)) - 5. Calculate the remainder when 74 is divided by (26/12 - (-1)/(-6)) + d. 14 Suppose -2*j + 56 = 2*h - 44, -5*h = 2*j - 247. Let k(r) = -807*r + 25023. Calculate the remainder when h is divided by k(31). 1 Let i(u) = 14*u - 2. Let o be i(-1). Let d = -8 - o. Let w = -34 - -77. What is the remainder when w is divided by d? 3 Suppose 3*i + 3*x = 2*x + 3314, x + 1 = 0. Calculate the remainder when i is divided by 41. 39 Let k be 145 + (1 - 1)/5. Suppose -13*b = -k - 50. Calculate the remainder when 118 is divided by b. 13 Suppose 5*q - 3*q - 10 = 0. Let n be (-1)/(-3 + (-56)/(-20)). Suppose 4*y + n*d = 28, 7*y - 2*d = 2*y + 68. Calculate the remainder when y is divided by q. 2 Suppose -210*b - 3*k - 25 = -212*b, 0 = 3*b + 4*k + 22. Calculate the remainder when 508 is divided by b. 0 Suppose 0 = -3*y + 16 + 47. Suppose q - y = 26. Let j = 66 - q. Calculate the remainder when 110 is divided by j. 15 Suppose 3*q = 30 + 36. Calculate the remainder when 36/297*3 + 19975/275 is divided by q. 7 Suppose -374 = -4*g + 2*g - 5*l, -2*l + 539 = 3*g. Suppose -28*x = -31*x - 12. What is the remainder when g is divided by -6*2/x*15? 42 Suppose -3*j + 5*j - 6 = 0, q - 17 = -j. Suppose 525 = 59*l - 52*l. Calculate the remainder when l is divided by q. 5 Let v(k) = k**2 - 20*k + 19. Let o be (8/(-12))/(4/(-114)). Let i be v(o). What is the remainder when 19 is divided by (0 + 5)*(i + 1)? 4 Let n be (-8)/((3 - 6) + 1) + 183. Let i = n - 171. Calculate the remainder when 42 is divided by i. 10 Suppose 5*u = 4*h + 74, 66 = 3*u + 2*h + h. Calculate the remainder when (-1611)/(-1253)*(-406)/(-6) is divided by u. 15 Let o be -142*8/(8/4). What is the remainder when o/(-6) + (-20)/12 + 1 is divided by 22? 6 Let z be 6/(-7)*(-91)/39 - 0. Suppose -6*g + 3*k + 177 = -2*g, -z*g = -2*k - 88. What is the remainder when 221 is divided by g? 41 Let z(r) = r**3 - 7*r**2 + 90*r - 225. What is the remainder when 1969 is divided by z(3)? 7 Suppose 0*k = 2*k - 16. Suppose 5*t = -15, -5*x + x + 3*t + 369 = 0. Suppose 0 = 9*z - 6*z - x. Calculate the remainder when z is divided by k. 6 Suppose 22*h - 3*x + 6 = 21*h, -h - 10 = -4*x. Calculate the remainder when 670 is divided by h. 4 Let t = 4415 + -4404. Calculate the remainder when 945 is divided by t. 10 Suppose 3*s - 6 = 0, -2*s - 2 = -m - 6*s. Let v(b) = 2*b**2 + 9*b. What is the remainder when v(m) is divided by 14? 4 Let t(x) = -x**2 + 158*x + 1397. Calculate the remainder when 745 is divided by t(165). 19 Let d = 2 - 2. Suppose 0 = -d*m - 2*m + 72. Let c = 54565 + -54542. Calculate the remainder when m is divided by c. 13 Let z(p) = -13*p - 1. Let h be (624/(-60) + 14)/((-2)/(-230)). Suppose -h = 2*k - 7*k + 3*x, -4*x = 12. What is the remainder when k is divided by z(-1)? 9 Suppose -14256 = -3*w - 3*t, -1024 = -2*w + 2*t + 8492. Calculate the remainder when w is divided by 238. 233 Suppose 2*d - 5*i = 89, -2*i + 5*i = 4*d - 171. Let c(p) = 5*p**2 - 38*p - 12. What is the remainder when d is divided by c(8)? 2 Suppose 5*n - 14 = 6. Suppose -n*h = -5*r - 248, 310 = -h + 6*h - 3*r. Calculate the remainder when 227 is divided by h. 41 Let t(s) = 2*s**3 + s - 2. Let f(h) = -h**2 + 10*h - 15. Let i = 74 - 66. Let r be f(i). What is the remainder when 1 is divided by t(r)? 0 Let v = -4 - -29. Suppose -70 = -5*f + v. Suppose 29 = 15*l - 136. What is the remainder when f is divided by l? 8 Let x = 28 - -2. Let m = x - 9. What is the remainder when m is divided by 2? 1 Let h(c) = c**3 + 20*c**2 - 23*c - 28. What is the remainder when (-2 - 8)/2*(-11 - -3) is divided by h(-21)? 12 Let p(m) be the second derivative of -m**3 + 0 + 2*m**2 - 1/20*m**5 + 3/4*m**4 + 17*m. What is the remainder when p(6) is divided by 40? 36 Let v be ((2 - 2) + 7)*110/(-77). Let m = v + 23. Calculate the remainder when 103 is divided by m. 12 Suppose 1776 = 2*p + 2*p. Suppose -f = 55 - p. Suppose f = 5*r - 351. Calculate the remainder when r is divided by 38. 34 Let k be 14*(-19 + 17 + (-2)/4). Let p = k - -40. Suppose 2*q + c - 31 = -0*c, c + 60 = p*q. Calculate the remainder when 36 is divided by q. 10 Let w(c) = -7*c + 27. Let k = 3078 + -2797. Calculate the remainder when k is divided by w(-10). 87 Suppose 4*d = 3*f + 268, -2*d = -7*d + 2*f + 328. Let h = -44 - -99. Let m = h + -22. Calculate the remainder when d is divided by m. 31 Let w = 4998 + -4919. Calculate the remainder when 1655 is divided by w. 75 Let h = 62 + -68. Let q be 42/(-9) + 2 + 2/h. Let l(a) = -2*a**3 - 6*a**2 - 12*a - 7. Calculate the remainder when 114 is divided by l(q). 27 Let k(u) = 7*u**3 + 99*u**2 + 14*u + 12. Calculate the remainder when k(-7) is divided by 148. 144 Suppose -40*g + 11648 = 168*g. Suppose 2*i + 2*a = -a + 43, -4*i + 5*a = -53. What is the remainder when g is divided by i? 5 Let d = 13556 - 13509. Calculate the remainder when 228 is divided by d. 40 Let p be 6/(-9)*(-10 + (1 - 0)). Suppose -p*h + 17 + 13 = 0. Suppose -h*q + 405 = -5*x, -2*q + 177 = -3*x + 4*x. What is the remainder when q is divided by 18? 14 Let n = -572 - -3892. Calculate the remainder when n is divided by 11. 9 Let l = -4412 - -4487. What is the remainder when 9223 is divided by l? 73 Let u be (32/6)/(-6*10/180). Suppose 3*j - 77 = -4*k, 4*k = j + 78 - 13. Calculate the remainder when u/12*66/(-4) is divided by k. 5 Suppose 0 = -16*c - 2294 + 2534. What is the remainder when 249 is divided by c? 9 Let u(x) = 4*x - 24. Let a be u(6). Suppose 3*n - 5*f = 36 - 0, a = 4*n - 3*f - 37. Calculate the remainder when 83 is divided by n. 6 Suppose -2*s + 4*k = 4, s - 4 = -0*k - k. Suppose -4*n = -2*n + w - 20, -s*n + 16 = 2*w. Calculate the remainder when 55 is divided by n. 7 Let z = -7461 - -7575. What is the remainder when 1254 is divided by z? 0 Let o(z) = 2*z**3 - z - 2. Let t = -23 - -22. Let s be o(t). Calculate the remainder when 9 is divided by s*(-4)/(-24)*-12. 3 Let o be -2*(-1 + -1 + -1). What is the remainder when ((-14)/o)/(3/(-63)) is divided by (-20320)/(-1200) + (-2)/(-30)? 15 Let a(t) = -7. Let o(n) = 11. Let d(l) = 8*a(l) + 5*o(l). Let h(v) = 58*v + 4. Let s(j) = -6*d(j) - h(j). What is the remainder when s(-2) is divided by 17? 16 Let k(y) = 6*y**2 - 8*y - 7. Suppose -5*h = -43*c + 1606, 212 = 2*c - 4*h + 126. What is the remainder when k(-6) is divided by c? 35 Let u be (-332)/6*39/26. Let k
{ "pile_set_name": "DM Mathematics" }
remainder when 107 is divided by h. 26 What is the remainder when 3436/16 + (-3)/(-12) is divided by 22? 17 Let t be (-374)/(-66) - (-2 + (-8)/(-3)). Let b = t - -99. Calculate the remainder when b is divided by 36. 32 Let p = 77 - 25. Suppose -2*n + 14 + 6 = 3*z, 0 = 2*n - 5*z - p. What is the remainder when 59 is divided by n? 11 Let q be 4/22 - (-3675)/55. Let i = -13 + q. Let k = 126 - i. What is the remainder when k is divided by 25? 22 Let o(x) = x. Let p be o(8). What is the remainder when 22 is divided by 1*9 + -6 + -6 + p? 2 Let t be 2592/90 + ((-4)/2)/(-10). Suppose -31 = -5*m - 3*v + t, 5*v - 5 = -2*m. What is the remainder when 29 is divided by m? 14 What is the remainder when (-4334)/(-10) + 28/(-70) is divided by 23? 19 Suppose -5*a + 3*d = 310, 24 = 5*d - 1. Let k = -40 - a. What is the remainder when 33 is divided by k? 14 Let d = 116 - 28. Suppose -2*o = 22 - d. What is the remainder when 130 is divided by o? 31 Suppose 0 = 2*c - 11 + 1, 5*c = j - 3. Let q be 0 + (-2)/1 + 417. Suppose 4*p + p + a = q, 2*p + 2*a - 166 = 0. Calculate the remainder when p is divided by j. 27 Suppose 0 = -5*w + 6*w - 74. Let o = w + -34. What is the remainder when 77 is divided by o? 37 Let r be ((-10)/(-6))/((-4)/12). Let v(s) = 5*s - 2. Let o(a) = 8*a - 3. Let b(w) = -5*o(w) + 7*v(w). What is the remainder when 103 is divided by b(r)? 25 Calculate the remainder when 182 is divided by 4/8*(104 - 30). 34 Let h = 4 - 5. What is the remainder when h*3/(-1) + 1 is divided by 4? 0 Let f(g) = 33*g**3 - 2*g + 1. What is the remainder when f(1) is divided by ((-75)/(-20))/(9/24) - 1? 5 Let z(p) = -p**2 - 39*p - 293. What is the remainder when 72 + 1 - 0/1 is divided by z(-11)? 13 Let x(a) = a**3 + 5*a**2 - 20. Let d be x(-4). Let l = d + 24. What is the remainder when 76 is divided by l? 16 Let y = 47 - 59. Calculate the remainder when 5 is divided by 42/35 - y/15. 1 Suppose 0 = -9*u + 1001 + 322. Suppose 2*a - u = -o, 3*a + 370 = 8*a + 5*o. What is the remainder when a is divided by 5? 3 Let y(h) = 4*h + 2. Let p be y(-11). Calculate the remainder when 40 is divided by (p/(-3))/(-3 + 4). 12 Let c(g) = 10*g**2 + 7*g + 19. Let t be c(-6). Let d = -208 + t. What is the remainder when d is divided by 34? 27 Let q = 43 + 20. What is the remainder when q is divided by (-18*14)/(-7)*(-3)/(-6)? 9 Let w(t) = -2. Let s(g) = g + 1. Let z(k) = 4*s(k) + 6*w(k). Suppose 0 = 8*j - 32 - 16. Calculate the remainder when z(6) is divided by j. 4 Suppose -5*g + 3*s + 335 = 0, 7*s = 4*g + 2*s - 281. Calculate the remainder when 50 is divided by (4 - 0/4) + g/2. 14 Let w be ((-51)/(-85))/(1/155). Suppose 0 = 89*c - w*c + 140. Calculate the remainder when c is divided by 9. 8 Let y(p) = p**3 + 8*p**2 + 31*p + 124. Calculate the remainder when y(-6) is divided by 36/10 - (-2)/5. 2 Suppose -17*l + 3 = -20*l. Let y = 11 - l. What is the remainder when 22 is divided by y? 10 Let i = 83 + -87. Calculate the remainder when 32 is divided by 6/((-120)/(-125)) - 3/i. 4 Suppose 0*t = 3*t - 5*r - 3057, -5*r = 4*t - 4076. What is the remainder when t is divided by 85? 84 Let w = -7 + 8. Let q be 1*(-32 - (w + -1)). Let n = 38 + q. What is the remainder when 9 is divided by n? 3 Let d be (10196/36 - 1) + 4/(-18). Suppose d - 60 = 6*i. What is the remainder when i is divided by 8? 5 Suppose 3*a = 4 + 5. Suppose -5*c + a*y = -24, -4*y = -3*c + 2*c + 15. Calculate the remainder when 9 is divided by c. 0 Suppose 0 = -12*m + 15*m + v - 1442, m - 484 = -2*v. Calculate the remainder when m is divided by 44. 40 Suppose 0 = l - 6*l + 90. Suppose -2*i + 2*q = -l, -q - 12 - 1 = -2*i. Calculate the remainder when 11 is divided by i. 3 Let x(v) = 2*v**2 + 6*v + 1. Let u be x(-5). Suppose -4*l + 9 = -3*n + 41, -5*l = n + u. Calculate the remainder when 29 is divided by 24/3*n/4. 5 Suppose -4*l = -2*l - 64. Suppose 32 = 34*d - l*d. Calculate the remainder when d is divided by 10. 6 Let l = -34 + 39. Suppose 247 = l*k - 3*g, 3*k - 49 = 2*k + g. Let w = -37 + k. Calculate the remainder when 23 is divided by w. 10 Let f = 9794 + -9656. Suppose -2*b = -0*b - 72. What is the remainder when f is divided by b? 30 Suppose -2*w - 5*l - 4 + 49 = 0, -5*w - 4*l + 70 = 0. Calculate the remainder when -7 + 4 + 28 + 2 is divided by w. 7 Suppose -2*v = -2*q + 8, -4*v - 2*q - 16 = -q. Calculate the remainder when 3*v/4*-9 is divided by 15. 12 Let x(b) = 14*b**2 + 7*b - 6. Calculate the remainder when x(3) is divided by 29. 25 Suppose -2*m + s = -11 + 3, 3*s + 6 = 0. Let t = m + 3. Let a = 11 - t. Calculate the remainder when 28 is divided by a. 3 Calculate the remainder when 4/14 - (-31800)/175 is divided by 28. 14 Let m be (-2)/((8/3)/(-4)). Suppose 36 = 4*j + 2*p - 0*p, m*p = -j + 4. Calculate the remainder when 28 is divided by j. 8 Let b(q) = -q - 3. Let z be b(-8). Suppose 2 = z*l - 23, 5*d - 100 = 3*l. Calculate the remainder when 89 - (1 - (2 + -1)) is divided by d. 20 Suppose 54*y = 43*y + 781. What is the remainder when y is divided by 9? 8 What is the remainder when 341 is divided by (7 - (-60)/(-10))*(-178)/(-2)? 74 Suppose -52*j - 1366 + 14938 = 0. Calculate the remainder when j is divided by 38. 33 Let z(y) = y**2 - 2*y. Let q(p) be the second derivative of p**4/12 + p**3/3 + 7*p**2/2 + 7*p. What is the remainder when q(-4) is divided by z(-2)? 7 Suppose -4*u + 3 = -5. Suppose 23 - 73 = -u*o. Suppose -5*f + 56 = 4*i, 0*i - 5*i - 5*f = -65. Calculate the remainder when o is divided by i. 7 Suppose 2*t = 3*t - 7. Let q be 3 + -1 - (0 - -6). What is the remainder when t is divided by 10/6*(7 + q)? 2 Calculate the remainder when 335 is divided by (1632/(-255))/(6/(-105)). 111 Let o(m) = -m**3 + 5*m**2 - 6*m + 21. Suppose 4*a = -u + 59, 3*u = 2*u + 3. Suppose -13*k = -a*k + 63. Calculate the remainder when k is divided by o(4). 11 Let d(a) = a**2 - 2*a - 3. Calculate the remainder when (13/(-52))/(4/(-624)) is divided by d(-4). 18 Suppose -76 + 52 = -p. Calculate the remainder when p is divided by 16. 8 Let y = -25 - -43. Suppose 0*j - 4*j = -128. Let r = j - y. What is the remainder when 39 is divided by r? 11 Suppose -1618*r + 1613*r + 235 = 0. What is the remainder when 751 is divided by r? 46 Let n = -8 - -5. Let r = 0 - n. Suppose 2*d + 3*u - 33 = -3*d, 23 = r*d + u. Calculate the remainder when 16 is divided by d. 7 Suppose 2*w + 8 = 6*w, w = -g + 21. Let k = g + -9. Suppose 75 = 5*f + 3*p, -k = -2*f + p + 20. What is the remainder when 44 is divided by f? 14 Suppose -5 - 10 = -5*b. Let g(d) = -3*d - 8. Let w be g(-4). Calculate the remainder when 8/2 - (-8)/w is divided by b. 0 Suppose 11*p = 13*p - 66. Suppose p + 147 = 4*b. What is the remainder when 89 is divided by b? 44 Suppose 270 = -6*v + 7*v. What is the remainder when v/12 - (-2)/(-4) is divided by 21/(-28) + (-35)/(-4)? 6 Suppose 403 + 1447 = 25*l. Calculate the remainder when l is divided by 5. 4 Let g = -2 + 0. Let p(m) = m**3 - m**2 + m - 8. What is the remainder when p(3) is divided by g/(-4)*14/1? 6 Suppose 96 = -5*a + 7*a. Suppose 5*v = v + a. Calculate the remainder when 34 is divided by v. 10 Let j(b) = -2*b**2 + 11*b + 9. Let t be j(6). What is the remainder when 634/18 - 6/27 is divided by (27/12)/(t/16)? 11 Let b = -1774 - -1797. What is the remainder when 56 is divided by b? 10 Suppose 0 = -4*a - 5*g - 3, a = -3*a - 4*g - 4. Suppose -q = -4*m + 8, -5*q + 0*m + 3*m = -45. Calculate the remainder when 135/4 - a/8 is divided by q. 10 Let u(j) = j**2 + 21*j - 1. Let z(w) = w**2 + 22*w. Let s(v) = -6*u(v) + 5*z(v). What is the remainder when 22 is divided by s(-16)? 4 Suppose 8*n - 10*n + 2 = 0. Let p(z) = 12*z - 1. Suppose -114 = -4*k + 46. Calculate the remainder when k is divided by p(n). 7 Let y be 28/(-12) + (-1)/(-3). Let p = -1 - y. Suppose 5*i - 102 = -3*z, -i = -3*z - p - 5. What is the remainder when i is divided by 7? 4 Calculate the remainder when (-2576)/28*2/(-8) is divided by ((-6)/4)/(1/(-6)). 5 Let v(d) = -7*d**3 - 4*d**2 + 16*d + 10. What is the remainder when v(-4) is divided by 102? 24 Let v = -428 + 622. Let f = v + -134. Calculate the remainder when f is divided by 21. 18 Let h be 1546/4 + 30/20. Suppose -44*p = -48*p + h. Calculate the remainder when p is divided by 20. 17 Suppose 25*y = 3205 + 95. What is the
{ "pile_set_name": "DM Mathematics" }
1983.288 weeks? 13883.016 Convert 33540538.5 minutes to weeks. 3327.434375 What is fourty-three quarters of a century in months? 12900 How many millilitres are there in 252.0344 litres? 252034.4 What is 996.3724ml in litres? 0.9963724 How many grams are there in 331.3531 micrograms? 0.0003313531 What is 11/2 of a century in decades? 55 What is 3/10 of a centimeter in micrometers? 3000 Convert 1403.46 decades to months. 168415.2 What is 1/4 of a litre in millilitres? 250 What is 71/4 of a millennium in decades? 1775 Convert 273.3581 tonnes to milligrams. 273358100000 What is 7.503269 micrograms in grams? 0.000007503269 What is twenty-one eighths of a tonne in kilograms? 2625 Convert 8.848351 microseconds to milliseconds. 0.008848351 What is 21/5 of a second in milliseconds? 4200 What is 7/8 of a micrometer in nanometers? 875 What is 0.9815423 years in months? 11.7785076 Convert 8328.785 millilitres to litres. 8.328785 How many kilograms are there in 11/10 of a tonne? 1100 How many minutes are there in eight thirds of a hour? 160 What is twenty-five quarters of a microgram in nanograms? 6250 What is fourty-two fifths of a centimeter in millimeters? 84 What is one fifth of a tonne in kilograms? 200 What is 2.696511 nanometers in kilometers? 0.000000000002696511 Convert 8730.054 tonnes to nanograms. 8730054000000000000 What is six fifths of a litre in millilitres? 1200 What is one tenth of a litre in millilitres? 100 What is 1765.852 kilograms in tonnes? 1.765852 What is 340029.6 millimeters in kilometers? 0.3400296 How many micrometers are there in seven eighths of a centimeter? 8750 What is 26602.692 months in centuries? 22.16891 What is 6/25 of a kilogram in grams? 240 What is 0.6817146 millennia in centuries? 6.817146 What is 6/25 of a millennium in years? 240 How many centimeters are there in 31.09948km? 3109948 How many millilitres are there in twenty-six fifths of a litre? 5200 How many millilitres are there in 17/2 of a litre? 8500 What is 664442.4 millennia in years? 664442400 What is 86.60165 millilitres in litres? 0.08660165 How many months are there in 219530.1 years? 2634361.2 How many years are there in sixty-nine halves of a millennium? 34500 How many meters are there in 0.5268149nm? 0.0000000005268149 What is 43061.02 litres in millilitres? 43061020 How many litres are there in 2.194154 millilitres? 0.002194154 What is 3/50 of a litre in millilitres? 60 How many millilitres are there in 21/2 of a litre? 10500 What is 0.9222408 seconds in hours? 0.000256178 What is 975.013 millimeters in nanometers? 975013000 What is 2/15 of a decade in months? 16 What is nineteen quarters of a week in hours? 798 What is 2199.127 nanoseconds in seconds? 0.000002199127 Convert 78.68352 centuries to months. 94420.224 Convert 23739.339 months to millennia. 1.97827825 How many years are there in 294.184 millennia? 294184 Convert 64720.32mm to kilometers. 0.06472032 How many hours are there in eight thirds of a day? 64 Convert 456.147468 minutes to weeks. 0.045252725 What is one sixteenth of a millennium in months? 750 Convert 1786.473 years to millennia. 1.786473 How many grams are there in 3/5 of a kilogram? 600 How many months are there in twenty-one eighths of a decade? 315 How many litres are there in 8.93686 millilitres? 0.00893686 How many millilitres are there in 4747.956l? 4747956 What is 70.14137l in millilitres? 70141.37 How many weeks are there in 43.2503064 minutes? 0.004290705 Convert 236.60556 months to centuries. 0.1971713 How many centimeters are there in 0.5594159m? 55.94159 What is one eighteenth of a hour in seconds? 200 What is 3/25 of a millennium in decades? 12 How many meters are there in 5.957432 centimeters? 0.05957432 What is twenty-seven halves of a litre in millilitres? 13500 Convert 3278.14 kilograms to grams. 3278140 How many millennia are there in 525.2439 decades? 5.252439 Convert 3939.217 days to microseconds. 340348348800000 How many tonnes are there in 52342.29 kilograms? 52.34229 How many months are there in 5/8 of a decade? 75 How many millilitres are there in 1/10 of a litre? 100 Convert 9.999794 centuries to millennia. 0.9999794 How many days are there in 3.1509117 minutes? 0.002188133125 How many micrometers are there in 1/4 of a millimeter? 250 How many kilometers are there in 482563.7um? 0.0004825637 What is one quarter of a kilometer in centimeters? 25000 What is 34/5 of a centimeter in millimeters? 68 What is 5/8 of a gram in milligrams? 625 How many millilitres are there in thirteen quarters of a litre? 3250 How many seconds are there in 881658.1 hours? 3173969160 How many litres are there in 0.3855013ml? 0.0003855013 How many millimeters are there in 786.0859 meters? 786085.9 What is 1/5 of a litre in millilitres? 200 What is 95.98384 decades in years? 959.8384 What is 60.50655 minutes in hours? 1.0084425 What is eighty-eight thirds of a year in months? 352 How many nanograms are there in twenty-one halves of a microgram? 10500 How many seconds are there in one twentieth of a week? 30240 What is seventeen halves of a day in minutes? 12240 How many micrograms are there in six fifths of a milligram? 1200 What is twenty-seven halves of a meter in centimeters? 1350 What is five quarters of a litre in millilitres? 1250 What is 100744.56s in minutes? 1679.076 Convert 65.60441g to micrograms. 65604410 What is 15.68506 minutes in microseconds? 941103600 Convert 0.2335971nm to meters. 0.0000000002335971 Convert 1132.5171 seconds to minutes. 18.875285 What is 3/40 of a second in microseconds? 75000 How many millimeters are there in 21/2 of a meter? 10500 How many micrograms are there in one tenth of a gram? 100000 How many months are there in twenty-three sixths of a decade? 460 How many kilometers are there in 741.4753um? 0.0000007414753 What is 172.7127 hours in days? 7.1963625 How many millimeters are there in 7/2 of a centimeter? 35 How many centimeters are there in 51/4 of a meter? 1275 How many nanometers are there in 15.27362cm? 152736200 What is twenty-one fifths of a decade in years? 42 What is 5/8 of a kilometer in centimeters? 62500 How many hours are there in seventeen sixths of a day? 68 How many nanograms are there in 71.63499 tonnes? 71634990000000000 What is one sixteenth of a millennium in months? 750 How many years are there in 0.8125282 millennia? 812.5282 How many microseconds are there in 37/5 of a millisecond? 7400 What is 11/4 of a microgram in nanograms? 2750 What is seven eighths of a litre in millilitres? 875 What is 1.836664 centimeters in millimeters? 18.36664 Convert 84332.19nm to meters. 0.00008433219 Convert 649.272kg to tonnes. 0.649272 What is 259292.9 millimeters in meters? 259.2929 What is 104542.6 millilitres in litres? 104.5426 Convert 0.1147504 meters to kilometers. 0.0001147504 Convert 22668.03 days to hours. 544032.72 How many millimeters are there in 0.6606347 meters? 660.6347 What is one tenth of a meter in millimeters? 100 What is 275212.5kg in nanograms? 275212500000000000 How many centimeters are there in seventeen halves of a meter? 850 Convert 563008.23 seconds to hours. 156.391175 Convert 786.5374cm to micrometers. 7865374 How many millennia are there in 72.37939 centuries? 7.237939 What is 7/4 of a microsecond in nanoseconds? 1750 How many micrograms are there in twenty-seven fifths of a milligram? 5400 Convert 3.1886991s to hours. 0.00088574975 What is twenty-five halves of a meter in millimeters? 12500 What is thirty-seven halves of a millimeter in micrometers? 18500 Convert 12574.55 years to millennia. 12.57455 What is 84935.48ug in milligrams? 84.93548 What is 9696.59 kilometers in nanometers? 9696590000000000 How many kilograms are there in 777710.3mg? 0.7777103 How many millimeters are there in 74496.61 micrometers? 74.49661 What is 5977.712ml in litres? 5.977712 How many minutes are there in three eighths of a week? 3780 What is 5/4 of a microsecond in nanoseconds? 1250 What is five sixths of a day in minutes? 1200 Convert 5671.995l to millilitres. 5671995 What is 55286.51 years in centuries? 552.8651 Convert 126.117729 nanoseconds to days. 0.0000000000014596959375 How many centuries are there in 0.4996582 millennia? 4.996582 How many millimeters are there
{ "pile_set_name": "DM Mathematics" }
the nearest to 0 in -0.1, 1/16, q? 1/16 Suppose -7*j + 932 = 932. Let s = 10 - 9.6. What is the nearest to j in s, 3, -4? s Let h = 4.5 + -3.5. What is the closest to 1 in 5, -25/4, h, 0.2? h Let h be (-2)/(-5)*(-5)/3. Let j = -88 + 87.3. Let n = -231 - -231.1. What is the closest to n in -0.1, h, j? -0.1 Let f(i) = -i**2 - 3*i + 1. Let z be f(-3). Suppose 70*k + 18*k = 26*k + 248. What is the closest to z in 3, 2/5, k? 2/5 Let f(u) = u**3 + 12*u**2 - 46*u + 2. Let i be f(3). Let w = -0.31 + 0.71. Let c = 0.23 - 0.33. What is the closest to i in w, -1/2, c? -1/2 Let l = -0.67 + 2.63. Let n = -0.04 - l. Which is the nearest to 0? (a) -3/7 (b) -8 (c) n a Let v = 384 - 388. Let n = 1610 - 1602. What is the closest to 1 in -1, v, 3/4, n? 3/4 Let o = -0.24958 + -0.05042. What is the closest to -0.5 in -1/8, -5, o, -0.4? -0.4 Let z be 19/((-5187)/(-3484))*-3 - 4/(-14). Which is the closest to z? (a) -5 (b) 0 (c) -53 c Suppose -377*l - 15 = -372*l. Which is the nearest to 2? (a) 3 (b) l (c) -2/9 (d) 20 a Let l = 0.135 - 0.335. Let n = 7.4 - -35.7. Let x = 43 - n. Which is the nearest to -2/3? (a) x (b) -7 (c) l c Let n = 19443 - 19431. What is the nearest to 0 in n, 0.5, 1, 8? 0.5 Let x be (-11)/(-55) + (-8)/(-10). Let n(w) = -18*w + 26. Let z be n(x). Which is the closest to 1? (a) z (b) -4 (c) 10 b Let p = 3.31 + 0.69. Suppose -3*v = -2*d - 16, -4*v = -5*d + 2 - 35. Let g = -0.358 + 0.358. Which is the closest to g? (a) v (b) p (c) -0.1 c Let z = 20/623 - -543/2492. Which is the closest to -95? (a) 0.3 (b) 0.08 (c) -5 (d) z c Let s(r) = 2*r**3 - 108*r**2 + 109*r - 158. Let d be s(53). What is the nearest to 0 in -2/31, 0.4, d, 0.2? -2/31 Suppose 61*s = 65*s + 2*v + 10, 0 = s - 5*v - 14. Which is the closest to s? (a) -0.14 (b) 1 (c) -1/150 a Let v = 4966 - 14900/3. What is the closest to v in 6, -0.1, 4, -12? -0.1 Let a = 27956 + -27957.9. What is the closest to -0.2 in a, 0.5, 4/23? 4/23 Let u(s) = -2*s - 14. Let j(b) = -b**2 - 3*b - 5. Let k be j(-3). Let z be u(k). What is the closest to 0.3 in 3, 5, z? 3 Let f = -40 + 40.4. Let p = 0.5 + 0.6. Let i = -1.1 + p. What is the closest to 0.02 in -2, i, f? i Let m = -4079 - -4079. What is the nearest to 1 in m, 0.1, 4? 0.1 Let a be ((-4)/35)/(22/55). Let z(k) = 3*k**2 + 12*k - 30. Let o be z(2). What is the nearest to a in 1, o, 0.1? 0.1 Let z = -30 - -36. Suppose 0 = r - 3*r + z. Let o be r/(-13)*4*3/18. Which is the closest to 0.1? (a) 1/3 (b) -0.4 (c) o a Let k = 3.4535 + -4.4535. Which is the closest to k? (a) 5 (b) -3 (c) -1/7 c Let u = -2016.52 + 2017. Let l = 0.14 - 0.66. Let g = u - l. Which is the nearest to 2? (a) -4 (b) 2/7 (c) g c Let u = -2.06 - -2. Let w be 67582/(-40) + (-20)/80. Let t = w + 1690. Which is the nearest to -2? (a) u (b) t (c) -2/5 c Let j = 7 + 17. Let s = j + -22. Let l = 15 - 15.2. Which is the closest to s? (a) -2/11 (b) 1 (c) l b Let s = -0.33 + 0.03. Let x(j) = 15*j - 81. Let g be x(10). Suppose 69 - g = 9*p. Which is the closest to 0? (a) p (b) s (c) -2 a Let i = -0.2 - -0.4. Let n = 324.49 - 324. Let j = n + -1.49. Which is the nearest to j? (a) i (b) 3 (c) 2 a Let m = -9755 + 29264/3. Let q = 19 + -13. Let i = 5 - q. Which is the nearest to 3/7? (a) i (b) 5 (c) m c Let o = -0.6 + 1. Let d be (1 - 2)*0/4. Let p = 5561 + -5560.7. What is the closest to d in -3, o, p? p Let d(r) = -12*r + 2. Let o(x) = 14*x - 2. Let k(q) = 6*d(q) + 5*o(q). Let i be k(0). Which is the closest to -16? (a) -4 (b) i (c) -0.4 a Let j = -2783.1 + 2782.6. Let m = 96 + -670/7. Which is the nearest to m? (a) j (b) 0.11 (c) 1/2 b Let x = -317 - 127. Let m be 3*(8 + x/54). What is the nearest to 3 in -2, -3, m, -4? m Let w = -4.0644 + 0.0644. Suppose 0 = 3*b + 5*j - 24, 0*j = b - 2*j + 3. What is the closest to -2/5 in w, b, -3? -3 Let z(q) = -q**3 - 10*q**2 + 25*q + 16. Let h be z(-12). Let l be (h/(-24))/(28/(-16)). Which is the nearest to l? (a) -0.5 (b) -2 (c) -5 a Let i = -0.04 - -0.1. Let s(d) = -8*d - 16. Let t be s(-3). Suppose 0 = -2*m - n + 2, 3*m - t*m + 4*n + 5 = 0. What is the closest to -1/2 in m, -0.5, i? -0.5 Let q = -1.8501 + 1.6501. Which is the nearest to -1? (a) q (b) 18 (c) -25 (d) 0.2 a Let y = 8 + 11. Let l = 48 + -71. Let b = l + y. What is the nearest to 0 in 2/5, 0.3, b? 0.3 Let h(s) = 2*s**3 + 26*s**2 + 14*s + 186. Let r be h(-13). Which is the nearest to -0.1? (a) r (b) 3/4 (c) -2/1897 (d) -2 c Let z = 5242 + -5242.19. What is the closest to 0.1 in -0.4, z, 1/4, -41? 1/4 Let n = -0.7 + -0.3. Let o = 225 + -255. Let i be (-4)/14*(10 + 230/o). What is the nearest to 3/5 in i, -4, n? i Let g = 85.9 + -86. Let x = 18 - 17.9. Let h = 2/75 - -128/825. What is the closest to 2/5 in h, g, x? h Let a = -9422 - -47108/5. What is the nearest to 1.4 in -0.1, 0.54, a? 0.54 Let s = 5433 + -5419. Which is the nearest to -0.3? (a) 0 (b) -1/5 (c) s b Let q = 3865/2576 - 1/2576. What is the closest to q in -0.4, -2/35, -0.5? -2/35 Let z = 155/987 - 2/141. Let n = 1277 + -1276.7. Let q = 0 + 0.1. Which is the nearest to 1? (a) q (b) z (c) n c Let y = 0.55 + -0.67. Let z = 0.22 + y. What is the closest to 3 in -4, z, 5/3? 5/3 Let u = 1 + 0. Let n = -2.8 - 76.2. Let q = n + 74. What is the closest to u in 2/7, 3, q? 2/7 Let z = -345 - -2417/7. Let a = -3.49 - 0.51. What is the closest to z in a, 1/2, -0.7? 1/2 Let i = 94.031 - 94. Let d = 0.269 + i. Let w = -4 - -6. Which is the nearest to 7? (a) d (b) w (c) 1/4 b Let f = 6.246 - 6.346. What is the nearest to f in -1/2, 12, -190, -0.1? -0.1 Let f = 6434 + -6439. Let t = -13.5 + 2.5. Which is the closest to t? (a) 0.3 (b) 3 (c) f (d) 2 c Let q = -119159/44 - -2708. Let h = -1/11 + q. What is the closest to 1 in h, -1, -0.5? h Let f = -1/4 + -5/12. Let z = 119/180 - 127/90. Let q be -2*(1/(-6) + 0). Which is the closest to f? (a) 2 (b) z (c) q b Let s = 0.11 - -0.49. Let i = s - 1. Let j(w) = -7*w + 1. Let f be j(0). What is the closest to f in 2/15, i, 5? 2/15 Let i = -3 - -2.9. Let z = 26586107/207 - 128435. Let u = -12/23 + z. Which is the closest to i? (a) -5/8 (b) 1 (c) u c Let b = -6 + 2. Suppose -3312 = -c + 17*c. Let p = c - -1447/7. What is the nearest to 0.2 in p, -5, b? p Let i = -6187 - -6187. Which is the closest to -35? (a) 2 (b) -2/9 (c) i (d) 1 b Let p = -4440 + 4439.323. What is the closest to p in -5, -2/9, -1? -1 Let f = -75 + 212. Let s = f - 137.21. What is the closest to -1 in 4/5, s, -3? s Let g = 13096764 + -91830759/7. Let i = 21876 + g. Let p = i - -40. What is the closest to -0.1 in -2/9, -0.1, p? -0.1 Let w = 218 - 217. Let r be 3 - 2 - w - 12/(-24). Which is the nearest to -2? (a) r (b) 5 (c) -0.8 c Let j = 21 - 21. Let k = -2.76 + 5.76. What is the closest to -71 in j, k, 3/4? j Let b = 134.07 - 134.37. What is the nearest to 0 in -632, 4, b, -0.4? b Let u = 4.75 + -4.65. Let y = -1 - 3. What is the nearest to 0 in -3, 4/3, y, u? u Let o = -22520 - -22518. Which is the nearest to 2? (a) o (b) 0.5 (c) -10 (d) -4 b Let f = -56 + 56.2. Let w = -0.47 + 43.47. Let z = 42 - w. Which is the nearest to -1? (a) f (b) 5 (c) z c Let n = -4 - -4.3. Let r be (19/12)/(247/26). Let h be 2/(3/12*-2). Which is the nearest to 8? (a) r (b) n (c) h b Let w = -5 + 44. Let o = 38.6 - w. Let l = -58 - -63. Which is the closest to 2? (a) o (b) -4 (c) l a Suppose -5*g - 29 = -9. Let o be (25/(-15))/((-2)/6). Let j = -1004 + 1002. What is the closest to -1 in g, o, j? j Let u = -1.1 - -1. Let p = 10885 + -10885. What is the nearest to -2/7 in -1, p, u, 1? u Let d = -0.0348 + -0.4652. Let t = -101.09 + 102. Let r = t - -0.09. Which is the closest to r? (a) 1/4 (b) -2 (c) d a Let l = 1363.63 + -1364. What is the nearest to l in -0.3, -1/3, -2, -3/8? -3/8 Let r = 679 - 11. Let w = r + -666. What is the closest to -0.5 in w, 0.3, 3/7? 0.3 Let y = 18.3 - 17.3. What is the closest to y in -0.01, -3, 4, -8? -0.01 Let n = 1/8 - -1/8. Let h = -3026.6 + 3025.6. What is the nearest to n in -131, -2/7, h? -2/7 Let w = -8234 + 8233. Which is the nearest to -5? (a) -3/19 (b) -3 (c) 2/7 (d) w b Let m = 2369 + -2368. Let q = -0.011 - 0.219. Which is the closest to m? (a) -5 (b) -2 (c) q c Let k(b) = -8*b**3 + 32*b**2 + 2. Let a be
{ "pile_set_name": "DM Mathematics" }
ere in 19/4 of a meter? 4750 How many nanograms are there in 998.5698ug? 998569.8 Convert 5877.556 millennia to years. 5877556 How many nanometers are there in 94.23621km? 94236210000000 How many nanograms are there in 0.5496707 grams? 549670700 What is 892.0775 years in millennia? 0.8920775 How many millilitres are there in one fifth of a litre? 200 How many millilitres are there in 72/5 of a litre? 14400 What is 46/5 of a century in months? 11040 How many millilitres are there in 49/5 of a litre? 9800 How many kilograms are there in 5.685933 milligrams? 0.000005685933 What is 19/4 of a gram in milligrams? 4750 What is six fifths of a tonne in kilograms? 1200 Convert 774808.5um to centimeters. 77.48085 What is 1/4 of a year in months? 3 How many days are there in 4.318262 weeks? 30.227834 How many millimeters are there in 3/8 of a meter? 375 Convert 109968.246ms to days. 0.001272780625 What is 1/4 of a millennium in months? 3000 What is 0.1232239g in milligrams? 123.2239 Convert 8028.12nm to millimeters. 0.00802812 How many months are there in 17/4 of a millennium? 51000 What is 11743.14 kilograms in milligrams? 11743140000 What is 44/5 of a millisecond in microseconds? 8800 What is three eighths of a millennium in months? 4500 How many centuries are there in 587.074 decades? 58.7074 What is one sixth of a week in minutes? 1680 How many litres are there in 7609.979ml? 7.609979 How many tonnes are there in 2952.662kg? 2.952662 What is eighty-seven fifths of a kilometer in meters? 17400 Convert 60.04614mg to grams. 0.06004614 Convert 346213.2 years to centuries. 3462.132 How many hours are there in 27/4 of a week? 1134 How many millennia are there in 0.5584061 decades? 0.005584061 How many nanograms are there in one quarter of a microgram? 250 How many grams are there in 25/8 of a kilogram? 3125 How many centimeters are there in 865035.6 nanometers? 0.08650356 How many decades are there in 5/4 of a millennium? 125 How many hours are there in 77250.771 milliseconds? 0.0214585475 How many tonnes are there in 0.8898012mg? 0.0000000008898012 What is one quarter of a tonne in kilograms? 250 What is fourty-one halves of a microgram in nanograms? 20500 What is 8/25 of a centimeter in micrometers? 3200 What is 83610.24 millimeters in nanometers? 83610240000 What is 8/3 of a week in hours? 448 Convert 7.349309 days to microseconds. 634980297600 What is 91832.06 microseconds in nanoseconds? 91832060 Convert 406.3472 years to millennia. 0.4063472 Convert 5.466461ug to milligrams. 0.005466461 How many minutes are there in 10.991502s? 0.1831917 What is fifty-five halves of a millennium in centuries? 275 What is 32/5 of a decade in months? 768 What is 18/7 of a week in minutes? 25920 How many millimeters are there in 73/5 of a centimeter? 146 How many litres are there in 748333.2ml? 748.3332 What is 1/16 of a kilometer in centimeters? 6250 What is three fifths of a millisecond in microseconds? 600 How many minutes are there in 2523.177 hours? 151390.62 Convert 988.625ml to litres. 0.988625 How many minutes are there in 7/6 of a hour? 70 What is one tenth of a milligram in nanograms? 100000 Convert 216122.88 months to millennia. 18.01024 What is seven quarters of a litre in millilitres? 1750 Convert 0.3521484 millilitres to litres. 0.0003521484 How many micrometers are there in 29/5 of a centimeter? 58000 What is twenty-one halves of a litre in millilitres? 10500 What is 1/4 of a day in seconds? 21600 How many tonnes are there in 28.9349ng? 0.0000000000000289349 Convert 0.268661 years to months. 3.223932 How many seconds are there in 7/4 of a hour? 6300 How many millilitres are there in 4075.363 litres? 4075363 Convert 0.624833 kilograms to tonnes. 0.000624833 How many months are there in 0.827991 decades? 99.35892 How many micrometers are there in 5/8 of a centimeter? 6250 How many millilitres are there in 3/5 of a litre? 600 How many weeks are there in 172447.4934us? 0.0000002851314375 How many decades are there in 1733326.8 months? 14444.39 How many grams are there in 1576.999 nanograms? 0.000001576999 How many grams are there in seventy-four fifths of a kilogram? 14800 How many nanometers are there in 13/5 of a micrometer? 2600 What is 3/50 of a litre in millilitres? 60 How many seconds are there in 1/5 of a minute? 12 What is twenty-one fifths of a week in minutes? 42336 How many months are there in thirteen quarters of a millennium? 39000 Convert 54182.8um to kilometers. 0.0000541828 What is 1/4 of a litre in millilitres? 250 How many grams are there in 1/64 of a tonne? 15625 How many millilitres are there in 6/25 of a litre? 240 How many millilitres are there in fourty-four fifths of a litre? 8800 What is 1/20 of a centimeter in micrometers? 500 How many millennia are there in 6.398258 years? 0.006398258 How many months are there in 3/5 of a century? 720 How many tonnes are there in 986.3394 milligrams? 0.0000009863394 What is 81/4 of a hour in seconds? 72900 How many milligrams are there in 12/25 of a gram? 480 What is six fifths of a litre in millilitres? 1200 What is one fifth of a kilogram in grams? 200 How many millilitres are there in 7819.314 litres? 7819314 How many grams are there in one quarter of a kilogram? 250 What is 758.9349cm in nanometers? 7589349000 How many millilitres are there in 1/4 of a litre? 250 How many hours are there in fourty-eight sevenths of a week? 1152 Convert 8682.614um to centimeters. 0.8682614 How many millimeters are there in three tenths of a centimeter? 3 Convert 67.19233 hours to nanoseconds. 241892388000000 Convert 1275.049 micrograms to milligrams. 1.275049 How many millilitres are there in thirteen quarters of a litre? 3250 How many seconds are there in seven sixteenths of a hour? 1575 What is 78932.86 millilitres in litres? 78.93286 What is 3/8 of a litre in millilitres? 375 How many millennia are there in 10.910778 months? 0.0009092315 What is 69.57603 kilometers in millimeters? 69576030 Convert 53.48948t to kilograms. 53489.48 How many milliseconds are there in eight fifteenths of a minute? 32000 Convert 8.535225 micrometers to meters. 0.000008535225 What is 1/10 of a centimeter in millimeters? 1 What is eighteen fifths of a litre in millilitres? 3600 How many decades are there in three fifths of a century? 6 What is 51.18635um in centimeters? 0.005118635 Convert 0.7691022 decades to centuries. 0.07691022 How many seconds are there in one sixteenth of a week? 37800 Convert 0.4363049 grams to milligrams. 436.3049 How many millilitres are there in twenty-five halves of a litre? 12500 What is three tenths of a millimeter in micrometers? 300 How many grams are there in 1/10 of a tonne? 100000 How many millimeters are there in 31/5 of a meter? 6200 How many millilitres are there in nine tenths of a litre? 900 Convert 9944.703km to centimeters. 994470300 Convert 521880.6 meters to millimeters. 521880600 How many milligrams are there in 14.25551kg? 14255510 How many years are there in 14.54162 centuries? 1454.162 What is twenty-one fifths of a meter in centimeters? 420 What is three eighths of a litre in millilitres? 375 What is 6/5 of a kilogram in grams? 1200 How many kilograms are there in 3/50 of a tonne? 60 How many hours are there in 4/3 of a day? 32 Convert 0.5547867 centimeters to meters. 0.005547867 How many millilitres are there in three eighths of a litre? 375 How many milligrams are there in 5068.52g? 5068520 What is 11/2 of a gram in milligrams? 5500 How many nanometers are there in 1/20 of a millimeter? 50000 What is 535.1799t in milligrams? 535179900000 How many months are there in 7/6 of a millennium? 14000 What is 11/2 of a kilogram in grams? 5500 How many nanometers are there in thirteen fifths of a micrometer? 2600 Convert 49360.82um to nanometers. 49360820 What is one quarter of a microsecond in nanoseconds? 250 How many years are there in 0.1130581 decades? 1.130581 Convert 88295.2 micrometers to nanometers. 88295200 How many milligrams are there in 6477.786 grams? 6477786 How many days are there in 20281.2957s? 0.23473721875 How many years are there in seventeen halves of a millennium? 8500 Convert 407.9344 millennia to decades. 40793.44 Convert 28.29156 micrometers to kilometers. 0.0000
{ "pile_set_name": "DM Mathematics" }
+ (-3 + 3 - 2)*(7*t - 4*t**5 - 7*t). 15*t**5 Expand (-2*n**2 + n**2 + 0*n**2)*(n + 5*n - 4*n) + 3*n - 3*n - n**3 - 3*n**3 + n**3 + n**3 - 23 + 196*n**3 - 296*n**3 + 27. -104*n**3 + 4 Expand (111 - 338 + 335*z**2 + 114 + 113)*(2*z - 4*z - z). -1005*z**3 Expand (3 - 4 - w - 1)*(1291 - 14*w - 1291)*(2*w**2 - 3*w**2 + 2*w**2 + (0 + 0 + w)*(-2 + w + 2)). 28*w**4 + 56*w**3 Expand -2091*m + 2091*m + 2 - 114*m**3 + (4*m**2 - 6*m + 6*m)*(3 - 1 + 0)*(-m - 3*m + 6*m). -98*m**3 + 2 Expand (3*r - 5*r + 4*r)*(-9 + 32 + 30)*(10*r**2 + 3*r**3 + 2*r**4 - 10*r**2). 212*r**5 + 318*r**4 Expand (2*s - 4*s + 0*s)*(3*s**2 + 2*s**3 - 3*s**2) - 17*s - 8*s**4 + 17*s + 0*s**3 + 0*s**3 - 2*s**4 + (-2*s + 2*s - 2*s)*(s**3 + 2 - 2). -16*s**4 Expand -11*p**3 + 10*p**3 - 6*p**3 + (p**3 + 0*p + 0*p)*(-2 - 4 + 4) + 7*p**2 + 5*p**3 - 7*p**2. -4*p**3 Expand (77 - 82 - k + 29*k)*(-k + k + k). 28*k**2 - 5*k Expand (123 + 0*l - 132 + l)*(2 - 4 + 3 + (-6 + 3 + 1)*(5 - 3 - 3) + 2 + 1 - 2 + 3 + 1 - 7)*(1 - 2 + 4). 3*l - 27 Expand 173*y**4 - 173*y**4 - 10*y**5 + y**4 + 2*y**5 - y**4 - 3*y**5 + 2*y**5 + 4*y**5 + (-2*y**3 + 0 + 0)*(-2*y**2 - 2*y**2 + 3*y**2) + y**5 + 2*y**2 - 2*y**2. -2*y**5 Expand (3 - 3 + 1)*(-s + s - s) + (-2 + 4 - 12)*(0*s + 0*s + 2*s)*(-1 + 0 + 2). -21*s Expand (-b - b**2 + b)*(-16 + 16 + 103*b)*(-2 + 3 - 2). 103*b**3 Expand ((4 - 4 - 1)*(-1 + 1 + 2*j) + 3*j + 4*j + j + (j - 2 + 2)*(3 + 1 - 5))*(-11*j**2 - 2*j**2 + 61*j**2). 240*j**3 Expand (-3 - 2 + 6)*(-2 - 2*n + 2) + 5*n - n - 3*n + n + n - n + (1 - 2 + 3 + (1 + 4 - 3)*(2 + 3 - 3) + 2 - 1 - 2)*(-n - 3 + 3). -5*n Expand (123*u + 30*u**2 - 123*u)*(-u**2 + u**2 + u**2)*(1 + 2 - 4). -30*u**4 Expand (-5*m + 2*m + 2*m)*(-2*m**3 - 3*m + 3*m) - 409*m**4 + 13*m**3 - 408*m**4 + 819*m**4. 4*m**4 + 13*m**3 Expand (31 - 30 - 20 + (2 - 5 + 4)*(0 - 2 + 3) + (2 - 1 + 0)*(0 + 4 - 3))*(-2*i**4 - 4*i**4 + 5*i**4). 17*i**4 Expand (-5*j + 3*j + 14*j)*(9*j - 9*j + 6*j). 72*j**2 Expand r - r - r - r + 3*r - 4*r + (2 + 3 - 6)*(r + 0*r + 0*r) - 5*r + r + 3*r + (0 - 14*r + 0)*(3 + 2 - 4). -19*r Expand (-36 + 36 - 21*n**2)*(2*n**2 - 4 + 4 + 3*n). -42*n**4 - 63*n**3 Expand (21*a - 8*a + 21*a)*(8 - 10 - 2)*(1 - 1 - 2). 272*a Expand -2*b + 3*b + 0*b + (-11 + 11 - 4*b)*(1 - 1 - 4) + 0 + 0 - 2*b + (4*b - 2*b - 3*b)*(-2 + 5 - 2) + 0 - b + 0. 13*b Expand (3 - 4 - 3)*(-17 + 17 + 109*b). -436*b Expand 0*f**3 - 3*f**3 + 4*f**3 + (7*f - 2 + 2)*(-3*f + 2*f**2 + 3*f) + 21*f - 21*f - f**3. 14*f**3 Expand (-j**4 + 3*j**4 - j**4)*(1625 + 265*j - 1625). 265*j**5 Expand (5 - 3 - 3)*(-2*g - 3*g + 3*g) - 4*g + g + 7*g + (9 - 9 - 6)*(-g - g + g) + (2 - 2 - g)*(-2 + 1 + 0) - 1 + 1 - 2*g. 11*g Expand (2*w**3 + 11*w - 108*w**2 + 108*w**2)*(-4*w + 8 - 8). -8*w**4 - 44*w**2 Expand -1 + 16*g + 1 + (-7 + 3 + 2)*(0 + 0 - 4*g). 24*g Expand 0*g + 0*g - 2*g**2 + (1 - 1 + g)*(g - 2 + 2) + 7*g**2 + 4*g**2 - 4*g**2. 6*g**2 Expand (3*n**3 + 3*n**3 - 3*n**3)*(-4896*n + 1 + 0 + 4955*n). 177*n**4 + 3*n**3 Expand 2 - 2 - 2*k**2 + 2*k**2 - 2 + 2 + (k - 3 + 3)*(k - 2*k + 2*k) + 2*k + 2*k**2 - 2*k - 4*k**2 + 2*k**2 + 0*k**2 + (15 + 4*k - 15)*(k + 2*k - 2*k). 5*k**2 Expand (-x**3 - 2*x**2 + 2*x**2)*(3 - 4 - 1) + 2*x**3 - x**3 - 2*x**3 - 3*x**2 + 37*x**3 - 8*x**2 + 12*x**2. 38*x**3 + x**2 Expand 0*s - s**2 + 0*s - 5*s**2 + 3*s**2 + 3*s**2 + (5 - 3 - 3)*(-4*s**2 + 4*s**2 + 2*s**2) + 73*s - 95*s**2 - 73*s. -97*s**2 Expand (-3*q**3 - q**3 + 5*q**3)*(-2906 - 81*q + 2906 + (4*q - 4*q + 2*q)*(-3 + 0 + 1)). -85*q**4 Expand (-11 + 10 - 14)*(5*u + 0*u + 0*u). -75*u Expand (y - 3*y + 0*y)*(401 + 47 + 515) - y + 5*y - 3*y. -1925*y Expand -4*o + 5*o - o**2 - 2*o + (-3 + 4 + 1)*(-47*o + 47*o - 4*o**2). -9*o**2 - o Expand -2*z**3 - 2*z**2 + 2*z**2 - 2*z**3 + 3 - 3 - 2*z**3 + 3 - 3 + z**2 - z**2 + z**3 + (3*z**3 + 0*z**3 - 2*z**3)*(-1 + 2 + 1) - 2*z**3 - 4*z**3 + 15 - 13. -9*z**3 + 2 Expand (-4*j + 41 - 90 + 44)*(8*j - 8*j + 9*j**2). -36*j**3 - 45*j**2 Expand (3*u**3 - 5*u**3 + 3*u**3)*(-3*u - 2*u + 3*u) - u**4 - u**2 + u**2 + (-2*u**3 - 31*u**2 - 6*u + 0*u**3 + 30*u**2)*(-1 + 1 + u). -5*u**4 - u**3 - 6*u**2 Expand (6*a + 6 - 6)*(10*a**2 - 4*a + 0*a**2 - 2*a**2). 48*a**3 - 24*a**2 Expand (2*i**5 - i**5 + 2*i**5)*(24 + 30 + 1). 165*i**5 Expand (44 - 32 - 27)*(-3*q**3 - 5*q**2 + 5*q**2). 45*q**3 Expand 3*b - b - 5*b + (4*b + 0*b + 6*b)*(-2 - 4 + 7). 7*b Expand ((2 + 0 + 0)*(-2*r**2 - r**3 + 2*r**2) + 3*r**3 - r**3 - 3*r**3)*(-6 + 4 + 0 + (-4 - 13 + 7)*(-3 - 1 + 2)). -54*r**3 Expand -n**2 + 0*n**2 - n**2 + (8 - 37 - 11)*(-47*n + 47*n + 35*n**2). -1402*n**2 Expand (3*q - q**3 - 3*q)*(2*q - 5*q + 2*q)*(-17 - 3 + 30). 10*q**4 Expand (-39*d + 16*d - 157*d)*(-3*d**2 + 0*d + 0*d). 540*d**3 Expand (-8 - 3*y + 8)*(-5*y + 1 + 0 + 3*y)*(y**2 - 7*y**2 + 0*y**2). -36*y**4 + 18*y**3 Expand ((3 + 4 - 5)*(2 - 3 + 0) - 16 + 13 - 20)*(-4*p + 0*p + 2*p). 50*p Expand 0*s**2 + 2*s**2 + 0*s**2 + (-3*s**2 + 4*s**2 + 0*s**2)*(-7 + 5 - 7) + (0*s - 2*s + s)*(-s - 1 + 1) - s**2 + 3*s**2 - s**2. -5*s**2 Expand (3*q**3 - 2*q**3 - 3*q**3)*(0*q + 6*q**2 + 0*q) + 5*q**5 + 0 + 0 - 2. -7*q**5 - 2 Expand (-7*n + 0*n - n)*(-5 + 1 + 0)*(1 - 1 + n**2). 32*n**3 Expand (2 + 0 + 0)*(-2*r + 0 + 0)*(13*r**4 + 24*r**4 - 57*r**4). 80*r**5 Expand (4*o**4 + 0*o**4 - 5*o**4)*(-2 + 0 + 4 + (-3 + 1 + 1)*(1 - 2 + 0)) - 14*o**3 + 14*o**3 - 37*o**4 + (1 - 1 + o**2)*(-3*o**2 + 3*o**2 + o**2). -39*o**4 Expand (-12*q**2 + 12*q**2 + 4*q**2 + (5*q - 2*q - 2*q)*(-q - 3*q + 6*q))*(-q - 4*q + 3*q). -12*q**3 Expand (-3*h + 5 - 5)*(44*h + 44*h - 27*h) - 3*h + h**2 + 3*h + (-3 + 2*h + 3)*(0*h + 3*h - h). -178*h**2 Expand (3*x + 3*x - 3*x)*(-12642 + 27*x + 12642). 81*x**2 Expand (3*d + 4*d - 6*d)*(1 - d**2 - 1) + 87*d**3 - 183*d**3 + 95*d**3 + 22*d. -2*d**3 + 22*d Expand -d**3 + d - d + (-1 + 5 - 3)*(5 - 5 - 2*d**3) + 0*d - d**3 + 0*d - 9*d**3 - 9*d**2 + 9*d**2 + (-4 + 1 + 0)*(4*d**3 + 0*d**3 - 2*d**3). -19*d**3 Expand (6*b - 4*b - 3*b)*(2 + 3 - 4)*(0 - 5 - 2)*(-3 + 4 - 3)*(-4 + 1 + 11). -112*b Expand (2 + 3 - 2)*(6*w**3 - 24*w**3 - w**3 + (-2*w**2 + 2*w**2 + 5*w**3)*(2 + 1 + 0))*(2 - 4 + 0). 24*w**3 Expand (-4 + 5 - 2)*(2*m + 2 + 1 - 4*m)*(0*m + 3*m - 9 - m). 4*m**2 - 24*m + 27 Expand -2*n - n + 2*n + (3 + 3 - 5)*(4*n - n - 5*n) + 13*n + 90*n + 98*n + 2 + 2*n - 2. 200*n Expand (-88*w**2 + 88*w**2 - 15*w**3)*(2 + 2 - 2). -30*w**3 Expand (2 - 2*d**2 - 2 + (0*d + d - 2*d)*(3*d - d - d) + 501*d**2 - 471*d**2 - 269*d**2)*(3*d - 5*d + 3*d + (-4*d + 4*d + d)*(-3 + 2 - 1)). 242*d**3 Expand u**2 + u**2 - u**2 + (3*u - 2*u - 2*u)*(-22060*u + 11030*u + 11032*u - 29). -u**2 + 29*u Expand (-p**2 + 5*p**2 - 3*p**2)*(0 - p + 0) + 46*p**3 - 21*p**3 - 11*p**3. 13*p**3 Expand (-4 + 4 - w)*(-1 + 2 - 3)*(4 + 4 + 10). 36*w Expand (-2 - 1 - 8)*(0 + 8 - 2)*(x**2 - x**2 - 3*x**3). 198*x**3 Expand 26*u + 17*u - 37*u + (0 - 2 + 3)*(-u - 4 + 4) + 5*u - u - 2*u. 7*u Expand (3*l - 3*l + 2*l + (-1 + 4 - 4)*(6*l - 2*l - 2*l) + 15*l - 130 + 130)*(2 - l - 2)*(2 - 2 + 2)*(-5 + 8 + 1). -120*l**2 Expand (0*s + 10*s + 9*s)*(-4*s + 2 + 3 + 0). -76*s**2 + 95*s Expand (-4*v - 5*v + 7*v)*(1 + 1 - 5) + (-2*v - 2*v + 2*v)*(0 + 2 - 3). 8*v Expand (3*h - h - h)*(2 + 3*h - 2) - 17 + 515*h + 0*h**2 - 513*h + 2*h**2. 5*h**2 + 2*h - 17 Expand (3 + 0 - 5)*(5*h - 6 + 6)*(-2*h + 0 + 0)*(2 - 5 + 13)*(2 + 0 - 1) + h**2 - 5*h**2 + 3*h**2. 199*h**2 Expand -k - 3*k + 0*k - k**2 + (-1 + k + 1)*(-2*k + k + 3*k) - 3*k**2 + 2*k - 2*k + k**2 - 2*k**2 + 0*k**2. -3*k**2 - 4*k Expand 245*r**4 + 1700 - 1700 + (-3 + 3 + 2*r**3)*(0*r - r - r). 241*r**4 Expand (776 + 34*n**3 - 776)*(4 - 2 - 1)*(4*n + 3 + 0*n - 3*n). 34*n**4 + 102*n**3 Expand (-3*s + 2*s + 4*s)*(4 - 5 - 7) + 0*s + s + s + (-3 + 0 + 2)*(-2*s - 3 + 3) + 3 - s - 3. -21*s Expand 0*w + 2*w**2 + 0*w - 2 + 3*w**2 + 2 + (-1 + 1 - 2*w)*(1 - 4 + 1)*(-3 + w + 3). 9*w**2 Expand (-171*x**2 - 9*x - 9*x + 173*x**2)*(-3*x + x + 3*x) + (3*x**2 + 4*x**2 + 4*x**2)*(2 - 2*x - 2). -20*x**3 - 18*x**2 Expand (8*y**2 - 29*y**2 - 55*y**2 - 17*y**2)*(4*y - y + 3*y). -558*y**3 Expand (0*s**2 - 4*s**2 + 5*s**2 + (4*s - 3*s - 3*s)*(3*s - s - 4*s) + 7*s**2 - 8*s**2 + 8*s**2)*(5*s + 2 - 2)*(0*s + 0*s + 2*s). 120*s**4 Expand 20*h**5 + 2*h**5 - h**5 + (2*h - 3*h + 0*h)*(3*h**4 + 2*h**4 - 2*h**4). 18*h**5 Expand (52*j - 21*j - 5*j)*(77 - 77 + 12*j**2). 312*j**3 Expand (5*q - 49 + 49)*(-4*q**2
{ "pile_set_name": "DM Mathematics" }
470*y**2 + 232308*y/11 = 0? -478, -1, 0, 9 Solve -3*q**3 - 5772*q**2 + 5775*q = 0 for q. -1925, 0, 1 Suppose -148*s**2/5 + 8888*s/5 - 17184/5 = 0. Calculate s. 2, 2148/37 Solve -5*a**4 - 143345*a**3 - 2292240*a**2 = 0 for a. -28653, -16, 0 Let -64455*w**2 - 64464*w - 9 = 0. Calculate w. -1, -3/21485 Suppose n**5/3 - 17*n**4/3 - 43*n**3/3 + 89*n**2/3 + 38*n = 0. Calculate n. -3, -1, 0, 2, 19 Solve -n**4/3 - 3059*n**3/3 + n**2/3 + 3059*n/3 = 0. -3059, -1, 0, 1 Let -2*b**4 + 3922*b**3 - 3920*b**2 = 0. What is b? 0, 1, 1960 Factor 5*a**4 + 5150*a**3 - 230695*a**2. 5*a**2*(a - 43)*(a + 1073) Factor -a**3/4 - 101*a**2/4 + 1575*a/2. -a*(a - 25)*(a + 126)/4 Factor 78*z**2 - 51250*z/9 + 292/9. 2*(z - 73)*(351*z - 2)/9 Determine t so that -5460125*t**2 - 7085100*t - 2298420 = 0. -678/1045 Determine c, given that -c**2/7 - 1103*c/7 + 1104/7 = 0. -1104, 1 What is y in -2*y**2/15 - 32*y/5 - 168/5 = 0? -42, -6 Suppose -b**5/6 + 10*b**4 - 773*b**3/6 - 1889*b**2/3 - 832*b - 1024/3 = 0. What is b? -2, -1, 32 Factor 2*d**2 - 23764*d - 71310. 2*(d - 11885)*(d + 3) Factor x**4/3 - 1120*x**3 + 3359*x**2/3. x**2*(x - 3359)*(x - 1)/3 Factor h**2/2 - 64*h - 1152. (h - 144)*(h + 16)/2 Factor a**2/6 - 98153*a/6 + 49076/3. (a - 98152)*(a - 1)/6 Let 2*p**5 + 18*p**4 - 1010*p**3 - 2426*p**2 + 24000*p + 49400 = 0. What is p? -26, -5, -2, 5, 19 Let 2*y**4 - 342*y**3 + 13728*y**2 + 77440*y = 0. What is y? -5, 0, 88 Find y, given that -2*y**2/7 - 66588*y/7 + 266384/7 = 0. -33298, 4 Factor -2*q**2/9 + 2518252*q/9 - 792699141938/9. -2*(q - 629563)**2/9 Solve 2*z**2/11 + 21972*z/11 + 21970/11 = 0 for z. -10985, -1 Determine p so that 2*p**2/7 - 162*p/7 + 3016/7 = 0. 29, 52 Factor 4*u**2/3 - 15290*u - 22936/3. 2*(u - 11468)*(2*u + 1)/3 Solve -4*z**4 + 128*z**3 + 136*z**2 - 128*z - 132 = 0. -1, 1, 33 Suppose r**4/5 + 208*r**3/5 + 3117*r**2/5 + 8478*r/5 - 31104/5 = 0. Calculate r. -192, -9, 2 Determine q, given that 3*q**3 - 2475*q**2 - 37758*q - 35280 = 0. -14, -1, 840 Factor 2*p**3/9 + 1214*p**2 + 5244304*p/3 + 2183551960/9. 2*(p + 155)*(p + 2654)**2/9 Find p such that -2*p**3/7 + 104*p**2 - 10752*p + 225792 = 0. 28, 168 Find p, given that -2*p**4 + 1432*p**3 + 115764*p**2 + 2280088*p + 2165758 = 0. -37, -1, 791 Suppose 70*c**4/3 - 286*c**3/9 - 38*c**2 + 50*c/3 - 4/9 = 0. Calculate c. -1, 1/35, 1/3, 2 What is a in -3*a**3/4 + 747*a**2/4 - 39069*a/4 + 38325/4 = 0? 1, 73, 175 Factor -2*n**2 - 196962*n. -2*n*(n + 98481) Let -10*u**5 - 556*u**4 - 6796*u**3 + 3368*u**2 + 6806*u - 2812 = 0. What is u? -37, -19, -1, 2/5, 1 Solve -2*x**5 - 2744*x**4 - 21806*x**3 + 24552*x**2 = 0 for x. -1364, -9, 0, 1 Factor -5*c**2/4 + 2465*c/2 + 239040. -5*(c - 1152)*(c + 166)/4 Let -2*x**4 - 166*x**3 - 4444*x**2 - 35048*x + 89232 = 0. What is x? -33, -26, 2 Determine j so that j**4 - 10186*j**3 + 25948833*j**2 - 51867112*j + 25928464 = 0. 1, 5092 Factor -3*z**2/8 + 3423*z/8 - 5121/4. -3*(z - 1138)*(z - 3)/8 Solve 5*s**4 - 32*s**3 - 4583*s**2 + 6458*s - 1848 = 0 for s. -28, 2/5, 1, 33 Find x, given that -5*x**3 - 558730*x**2 - 15609519360*x - 31216803840 = 0. -55872, -2 Suppose -4*g**5 - 3708*g**4 + 7432*g**3 - 8*g**2 - 7428*g + 3716 = 0. Calculate g. -929, -1, 1 What is c in -88*c**2 - 1324*c - 3888 = 0? -243/22, -4 Solve -263*n**3/6 + 4733*n**2/2 - 13777*n/6 - 53/2 = 0 for n. -3/263, 1, 53 Factor 2*p**2/11 + 24868*p/11 - 24870/11. 2*(p - 1)*(p + 12435)/11 What is a in -a**3/8 + 21*a**2/2 + 1687*a/8 + 1515/4 = 0? -15, -2, 101 Factor 2*p**2/15 - 352*p/5. 2*p*(p - 528)/15 Solve -9*h**3 + 462*h**2 + 5229*h + 4758 = 0 for h. -26/3, -1, 61 Suppose 47*u**2/4 + 53*u + 165/4 = 0. What is u? -165/47, -1 Factor -5*v**2/7 - 24536*v/7 - 701. -(v + 4907)*(5*v + 1)/7 Factor 3*q**3/5 - 1602*q**2/5 + 212139*q/5. 3*q*(q - 291)*(q - 243)/5 Solve -2*s**4 - 1334*s**3 - 220410*s**2 + 686750*s + 2244500 = 0 for s. -335, -2, 5 Let 2*x**3 + 7784*x**2 + 7407722*x - 325003476 = 0. Calculate x. -1967, 42 Solve -3*v**2 + 4716318*v - 1853637956427 = 0. 786053 Solve 2*g**2/3 - 90*g - 1176 = 0 for g. -12, 147 Find s such that 4*s**2 + 208872*s - 208876 = 0. -52219, 1 Solve -2*p**4/5 - 1822*p**3/5 - 26976*p**2/5 - 85888*p/5 + 114688/5 = 0 for p. -896, -8, 1 What is t in -t**3/4 - 4911*t**2/4 - 1506756*t + 1507984 = 0? -2456, 1 Let q**4/4 + 46*q**3 - q**2/4 - 46*q = 0. Calculate q. -184, -1, 0, 1 Factor -26*p**2/21 + 1210*p/21 - 92/3. -2*(p - 46)*(13*p - 7)/21 Factor -x**4/2 - 6673*x**3/2 - 14838525*x**2/2 - 10985436875*x/2 + 11015140625. -(x - 2)*(x + 2225)**3/2 Let -2*p**5 - 5556*p**4 + 27944*p**3 + 317460*p**2 + 551034*p = 0. What is p? -2783, -3, 0, 11 Find r such that -5*r**4/4 + 755*r**3 - 133185*r**2/2 - 420075*r - 2561625/4 = 0. -3, 115, 495 Find s such that -s**3/6 - 1255*s**2/2 + 10072*s - 120992/3 = 0. -3781, 8 Find h such that h**2/2 - 1683*h/2 - 106259 = 0. -118, 1801 Factor 9604*n**3 + 212072*n**2 + 17264*n + 352. 4*(n + 22)*(49*n + 2)**2 Factor -2*y**3/3 + 30012*y**2 - 337770054*y. -2*y*(y - 22509)**2/3 Factor 2*d**2/7 + 1912*d + 133640/7. 2*(d + 10)*(d + 6682)/7 Determine b, given that -b**5/10 - 1003*b**4/10 + 2012*b**3/5 - 2014*b**2/5 = 0. -1007, 0, 2 Suppose -2*b**5/3 + 796*b**4/3 - 47584*b**3/3 - 6831004*b**2/3 + 15862*b + 2276736 = 0. What is b? -64, -1, 1, 231 Solve 2*k**5/9 - 188*k**4/9 - 386*k**3/9 + 188*k**2/9 + 128*k/3 = 0 for k. -2, -1, 0, 1, 96 Factor -4*r**2 - 393792*r - 9692008704. -4*(r + 49224)**2 Factor 33*q**2 - 1539*q + 9828. 3*(q - 39)*(11*q - 84) Find o such that 19*o**5 + 44*o**4 - 7*o**3 - 44*o**2 - 12*o = 0. -2, -1, -6/19, 0, 1 Suppose -y**4/2 - 41*y**3/2 - 543*y**2/2 - 2115*y/2 + 1350 = 0. What is y? -15, -12, 1 Let x**5/11 + 26*x**4/11 + 138*x**3/11 - 416*x**2/11 - 2443*x/11 + 4998/11 = 0. Calculate x. -17, -7, 2, 3 Find z, given that 76*z**2 + 920*z + 2784 = 0. -116/19, -6 What is j in 4*j**3 - 96*j**2 + 644*j - 936 = 0? 2, 9, 13 What is d in d**2/3 - 7160*d/3 + 7157 = 0? 3, 7157 Let -2*h**2 + 22444*h - 62966642 = 0. Calculate h. 5611 Let -6*g**5 + 2401*g**4/2 - 58792*g**3 - 135701*g**2 + 929806*g - 153015/2 = 0. What is g? -5, 1/12, 3, 101 Solve 4*f**4 - 1516*f**3 + 141348*f**2 + 434716*f + 291848 = 0. -2, -1, 191 Find y, given that -y**4 + 46611*y**3 - 543262839*y**2 + 2715149045*y = 0. 0, 5, 23303 Find h, given that 3*h**5 + 33*h**4 + 123*h**3 + 183*h**2 + 90*h = 0. -5, -3, -2, -1, 0 Factor -m**3/4 + 8851*m**2/4 + 53137*m/4 + 44285/4. -(m - 8857)*(m + 1)*(m + 5)/4 Factor -5*o**3 - 11275*o**2 + 22585*o + 33855. -5*(o - 3)*(o + 1)*(o + 2257) Factor 2*u**4 + 282*u**3 - 2042*u**2 + 4422*u - 2664. 2*(u - 3)**2*(u - 1)*(u + 148) Factor 2*c**2 - 1440*c + 19768. 2*(c - 706)*(c - 14) Factor -v**3/2 + 1647*v**2/2 - 695115*v/2 + 13880349/2. -(v - 813)**2*(v - 21)/2 Suppose -25*w**2 - 1652485*w + 991500 = 0. Calculate w. -66100, 3/5 Suppose -5*r**4 - 35*r**3 + 655*r**2 + 735*r - 1350 = 0. What is r? -15, -2, 1, 9 Let -y**5/4 - 125*y**4/4 + 1059*y**3/4 - 715*y**2/4 - 3325*y/2 = 0. What is y? -133, -2, 0, 5 Let -54*j**2 - 421744*j - 31240 = 0. What is j? -7810, -2/27 Solve -4*p**4 - 58572*p**3 - 234204*p**2 + 292780*p = 0. -14639, -5, 0, 1 Find j, given that -2*j**2 + 2354*j + 409948 = 0. -154, 1331 Suppose 5*s**5 - 5945*s**4 + 1805275*s**3 - 22608655*s**2 + 39825240*s - 19015920 = 0. Calculate s. 1, 11, 588 Determine f, given that -3*f**3 + 125115*f**2 - 1304417709*f - 1304542827 = 0. -1, 20853 Find u such that 2*u**5/7 - 82*u**4/7 + 786*u**3/7 - 2718*u**2/7 + 3132*u/7 = 0. 0, 3, 6, 29 Factor o**2 - 722236*o + 130406209924. (o - 361118)**2 Determine p, given that 2*p**2/15 + 7606*p/5 - 502964/15 = 0. -11431, 22 Solve j**5 + 6422*j**4 + 51333*j**3 + 134716*j**2 + 141116*j + 51312 = 0. -6414, -4, -2, -1 Factor -2*x**3 - 614*x**2 - 48622*x - 228010. -2*(x + 5)*(x + 151)**2 Find y such that y**2 + 33276*y = 0. -33276, 0 Suppose -4*y**3 - 52*y**2 - 208*y - 240 = 0. What is y? -6, -5, -2 Factor -5*j**2 + 57220*j - 163706420. -5*(j - 5722)**2 Factor 6125*x**2 + 38150*x + 59405. 5*(35*x + 109)**2 Factor w**3 - 2010*w**2 + 985473*w + 24822936. (w - 1017)**2*(w + 24) Suppose 5*m**3 - 945*m**2 + 13050*m = 0. What is m? 0, 15, 174 Factor -4805*u**4 + 60915*u**3 + 20025*u**2 + 1625*u. -5*u*(u - 13)*(31*u + 5)**2 Suppose -4*c**3 + 9500*c**2 - 5830332*c + 223349796 = 0. What is c? 41, 1167 Factor 4*c**2/7 - 128
{ "pile_set_name": "DM Mathematics" }
rms in 3*o**3 - 13378885471 + 13378885471. 3*o**3 Collect the terms in 44130*m + 1 + 0 + 2. 44130*m + 3 Collect the terms in -86*z - 88*z - 75*z + 344*z - 90*z + 50. 5*z + 50 Collect the terms in -8039*g**2 + 23403*g**2 - 8054*g**2 - 7307*g**2. 3*g**2 Collect the terms in -14134*x + 28083*x - 14567*x. -618*x Collect the terms in -7*n + 6*n + 904742*n**2 - 904961*n**2. -219*n**2 - n Collect the terms in 13*j**3 + 34009 - 34034 - 10*j**3. 3*j**3 - 25 Collect the terms in 148*v + 210*v - 47*v - 64*v - 2*v**2 + 273*v. -2*v**2 + 520*v Collect the terms in -5 - 3 + 8 + 1771835*r**2. 1771835*r**2 Collect the terms in 0*s**2 - 309*s + 5*s**2 - 26228313 + 309*s + 26228313. 5*s**2 Collect the terms in 59*a**3 + 6*a - 6*a + 59*a**3 - 252*a**3 + 59*a**3 + 77*a**3. 2*a**3 Collect the terms in -2965 + 5928 - 2391*j**3 - 2963. -2391*j**3 Collect the terms in -7159*x - 11403*x - 8345*x + 3431*x. -23476*x Collect the terms in -4961*z + 226*z**3 - 76*z**3 + 175*z**3 + 4963*z. 325*z**3 + 2*z Collect the terms in -31*k**3 + 23*k**3 - 26*k**3 - k - 45*k**3 - 28*k**3. -107*k**3 - k Collect the terms in -44600*q + 16870*q + 203802*q + 29335*q. 205407*q Collect the terms in 2056*c**3 + 194*c**2 + 194*c**2 + 2266*c**3 - 388*c**2. 4322*c**3 Collect the terms in -588 + 588 + 196*o - 196*o + 49*o**2. 49*o**2 Collect the terms in 34 + 36 - 47*i + 91*i - 68 - 51*i. -7*i + 2 Collect the terms in 95281172 - 95281172 - 804*r. -804*r Collect the terms in 2788 - 198*s + 213*s + 2771 - 5506. 15*s + 53 Collect the terms in -10*l**3 + 4*l**3 - 70*l**2 + 71*l**2 + 60*l**3. 54*l**3 + l**2 Collect the terms in -37 + 37 + 38 - 4*d - 69 + 41 - 10. -4*d Collect the terms in 1 + 2068*d - 1497*d + 130*d**2 - 2 + 4808*d. 130*d**2 + 5379*d - 1 Collect the terms in -3 + 5 - 20937*d**2 - 20970*d**2 + 41993*d**2. 86*d**2 + 2 Collect the terms in -6*y**2 - 52110*y - 16*y**2 + 52110*y. -22*y**2 Collect the terms in 3116635*o**3 + 91*o**2 - 268*o**2 + 90*o**2 + 87*o**2 - 3116634*o**3. o**3 Collect the terms in -16*f - 53142 - 3*f - 29*f + 2*f + 106290 - 53147. -46*f + 1 Collect the terms in 26*i + 20*i + 5*i - 87*i + 26*i + 27*i. 17*i Collect the terms in -57*b**3 + 29*b**2 - 6*b**2 + 120*b**3 + 56*b**2. 63*b**3 + 79*b**2 Collect the terms in 7*n**2 - 3*n**2 - 3*n + 24899 + 3*n + 0*n - 24883 - 3*n**2. n**2 + 16 Collect the terms in 4647*h**3 + 322*h**3 - 1 - 2*h**2 + 3680*h**3 + 1. 8649*h**3 - 2*h**2 Collect the terms in 591 - 1787 + 760*d + 563 + 583 - 758*d. 2*d - 50 Collect the terms in -4*i + 13 - 119*i + 34 - 47. -123*i Collect the terms in -30*s**2 + 54*s**2 - 374 - 23*s**2 + 185 + 161. s**2 - 28 Collect the terms in -2312328*l**2 - 362*l + 2312346*l**2 - 199*l. 18*l**2 - 561*l Collect the terms in -834941 + 2504713 + 2*w - 834953 - 834819. 2*w Collect the terms in -1124*q + 26*q**2 + 2289*q - 1125*q. 26*q**2 + 40*q Collect the terms in 125408*x - 41959*x - 41964*x - 41485*x - 19*x**2. -19*x**2 Collect the terms in -369740*z - 592360*z - 243540*z. -1205640*z Collect the terms in -128687*s**2 - 175436*s**3 + 128687*s**2. -175436*s**3 Collect the terms in -565*x + 101*x + 183*x + 285*x. 4*x Collect the terms in 175*h - 7*h - 29*h - 133*h - 10*h. -4*h Collect the terms in -5547 - 49545*p**3 + 11096 - 5549 - 2610*p**3. -52155*p**3 Collect the terms in -2*b - 8742069286 + 8742069286. -2*b Collect the terms in 27 - 4357*n + 30 + 29 + 2196*n - 86 + 2160*n. -n Collect the terms in -3174005*d + 2 - 340*d**2 + 750*d**2 + 226*d**2 + 3174005*d. 636*d**2 + 2 Collect the terms in 79549*x**2 + 11372*x**2 + 95452*x**2. 186373*x**2 Collect the terms in 3200*i - 9588*i + 3163*i + 3183*i. -42*i Collect the terms in 8824 - 5*d**2 - 8698 - 27*d**2. -32*d**2 + 126 Collect the terms in -163 + 373 - 196 + 13*v**3. 13*v**3 + 14 Collect the terms in -6*r + 3*r - 243*r**2 - 40*r. -243*r**2 - 43*r Collect the terms in 351 - 176 - 12929*w**3 - 175. -12929*w**3 Collect the terms in -1 + 11 + 7 - 2 - 15 + 5*y**2. 5*y**2 Collect the terms in -11*a - 620 - 3068 - 2499 + 40*a. 29*a - 6187 Collect the terms in 15*t + 65 - 33 - 44 - 54*t + 31*t + 6*t. -2*t - 12 Collect the terms in -742909*h**2 - 742897*h**2 + 1485800*h**2. -6*h**2 Collect the terms in 6261030526*q - 6261030526*q + 15*q**2. 15*q**2 Collect the terms in 30574*h + 41284615 - 1815*h - 41284615. 28759*h Collect the terms in -9 + c**2 + 6 + 98*c + 3 + 303*c - 249*c. c**2 + 152*c Collect the terms in -6507 + 6506 - 319*n - 137*n. -456*n - 1 Collect the terms in 3181*f + 5410*f + 12*f**3 - 8593*f. 12*f**3 - 2*f Collect the terms in -8937*o + 2722*o + 3521*o + o**2 + 2694*o. o**2 Collect the terms in -2060*f + 4282*f - 2223*f - 30 + 137. -f + 107 Collect the terms in 61006*n**2 + 5729*n**2 + 96632 - 96634. 66735*n**2 - 2 Collect the terms in -771*a + 418*a + 353*a - 4*a**2. -4*a**2 Collect the terms in -l + 14 - 23 - 24 + 85 - 20 - 24 - 22. -l - 14 Collect the terms in 677256*s + 12*s**2 + 7*s**3 - 677256*s - 30. 7*s**3 + 12*s**2 - 30 Collect the terms in 812*r + 866*r - 4*r**3 + 821*r - 21*r**3 - 2499*r + 6*r**3. -19*r**3 Collect the terms in 52*f**3 + 2 - 6 - 3*f**2 - 50 - 18*f**3 + 6*f - 9*f. 34*f**3 - 3*f**2 - 3*f - 54 Collect the terms in -1874*p - 1501*p - 132*p**2 + 3375*p. -132*p**2 Collect the terms in -185*r**3 - 41*r**2 - 298*r**3 - 92*r**3 + 41*r**2. -575*r**3 Collect the terms in -126*j - 564*j - 14*j - 5*j + 89*j + 142*j. -478*j Collect the terms in 1556413866 - 3*y - 3*y**2 + 3*y - 1556413866 - 7*y**2 + 2*y**2. -8*y**2 Collect the terms in -38809*p - 38807*p + 77603*p. -13*p Collect the terms in 2*j**3 + 37030*j**2 - 558825*j**2 - 3*j**3 - 6521*j**2. -j**3 - 528316*j**2 Collect the terms in -2*x**2 - 411*x**3 - 453*x**3 + 868*x**3. 4*x**3 - 2*x**2 Collect the terms in -50 - 760*v - 50 + 776*v + 100. 16*v Collect the terms in -2*b - 124*b**2 + 2*b - 454 + 126*b**2 + 470. 2*b**2 + 16 Collect the terms in 2376*u + 2405*u - 6931*u + 2151*u. u Collect the terms in -2987 + 2872 - 104*n - 8310 - 9114. -104*n - 17539 Collect the terms in 2432 - 2*q + 1965 + q - 428 + q**2. q**2 - q + 3969 Collect the terms in -163*l**3 - 3*l**2 + 2*l**2 - 3007*l + 328*l**3 + 621*l - 167*l**3. -2*l**3 - l**2 - 2386*l Collect the terms in -3242*a + 1 + 3242*a - 1 - 31989*a**3. -31989*a**3 Collect the terms in 4*n + 43*n - 203 - 195 - 202 + 600. 47*n Collect the terms in 120*a**3 - 260*a**3 + 3096*a + 95*a**3. -45*a**3 + 3096*a Collect the terms in -1243 + 2600 - 2*y - 1206. -2*y + 151 Collect the terms in -531645 - 2*k + 531645 + 2*k + 481*k**3. 481*k**3 Collect the terms in 631*q**2 - 50692769*q + 50692769*q. 631*q**2 Collect the terms in 3276*d + 1904*d + 2084*d. 7264*d Collect the terms in 6*c - 5*c + 1265*c**2 + c - c + 7015*c**2. 8280*c**2 + c Collect the terms in -4 + 4 + 4518*f**2 + 4555*f**2 - 9061*f**2. 12*f**2 Collect the terms in -636*c - 655*c - 637*c + 1946*c. 18*c Collect the terms in 7*o**2 - 140558 + 140579 + o**2. 8*o**2 + 21 Collect the terms in -11005*w**2 - 5715*w**2 - 12517*w**2. -29237*w**2 Collect the terms in -643*q - 1017*q + 186 + 82*q. -1578*q + 186 Collect the terms in -1326 - 21*o**2 - 1522 + 2848. -21*o**2 Collect the terms in -39 + 63 - 24 - 22309*q. -22309*q Collect the terms in 6*b + 5*b - 6*b + 11*b + 6*b + 31*b. 53*b Collect the terms in 152*f + 93 + 112*f - 20 - 269*f. -5*f + 73 Collect the terms in 333*g**2 - 1979028*g + 6 + 1979028*g. 333*g**2 + 6 Collect the terms in -u**2 - 864*u - 1 - 6 + 979*u + 5. -u**2 + 115*u - 2 Collect the terms in -5309*m**3 - 25*m**2 + 25*m**2 + 9. -5309*m**3 + 9 Collect the terms in -1638*t - 1538*t + 2 + 3212*t. 36*t + 2 Collect the terms in 9*s**2 + 6323915 - 3*s + 3*s + 6323907 - 12647820. 9*s**2 + 2 Collect the terms in 144*b - 2271*b + 1045*b - 2*b**2. -2*b**2 - 1082*b Collect the terms in 1108*f + 1004*f - 2422*f. -310*f Collect the terms in -459 + 158 + 148 + 1590*v + 149 - 4513*v. -2923*v - 4 Collect the terms in 32*x**2 + 30*x**2 - 62*x**2 - 167*x**3 - 871*x**3. -1038*x**3 Collect the terms in -137 - 214 + 65*h - 164 + 48. 65*h - 467 Collect the terms in 3472*u**2 - 15*u + 8*u + 7*u + 0*u. 3472*u**2 Collect the terms in -13119 + 6766 + 6353 + 20*y**2. 20*y**2 Collect the terms in 1224 - 3746 - 6*p + 1285 + 1237. -6*p Collect the terms in 129*c - 36 - 114 + 142*c - 262*c. 9*c - 150 Collect the terms
{ "pile_set_name": "DM Mathematics" }
i + 2/3*i**2 + 0 - k*i**3 + 2/9*i**4. 2*i*(i - 1)**3/9 Let p(u) be the third derivative of -u**6/420 + u**5/210 + u**4/42 - 244*u**2. Let p(w) = 0. Calculate w. -1, 0, 2 Let u(i) be the first derivative of -3*i**5/10 - 9*i**4/4 - i**3/2 + 18*i**2 + 30*i + 227. Solve u(k) = 0. -5, -2, -1, 2 Let o(x) = 102*x - 102. Let f be o(1). Find y such that f*y - 2/5*y**4 + 0 + 8/5*y**3 - 8/5*y**2 = 0. 0, 2 Find r, given that -200*r + 1410 + 1172 - 82 + 4*r**2 = 0. 25 Suppose -45/2*f**4 + 1049760*f + 1/8*f**5 + 1620*f**3 - 58320*f**2 - 7558272 = 0. What is f? 36 Let a be (-2 - -6) + (236/40 - 9). Let i(u) be the second derivative of -a*u**5 + 0 + 5*u - 1/21*u**7 - 2/3*u**3 + 7/6*u**4 + 0*u**2 + 1/3*u**6. Factor i(m). -2*m*(m - 2)*(m - 1)**3 Let f be (-2)/((-3)/1*3/9). Suppose 1 + 9 - 3*v**f - 3*v + 0*v**2 - 4 = 0. What is v? -2, 1 Determine u, given that 0*u + 4/3*u**4 - 40/3*u**3 + 32/3*u**2 + 0 + 4/3*u**5 = 0. -4, 0, 1, 2 Suppose -6*v + 7*v - w = 3, -3*v + 9 = -14*w. Factor -2/5*d**2 - 1/5*d**v + 0 + 0*d. -d**2*(d + 2)/5 Let s(a) be the second derivative of a**4/3 + 64*a**3 - 194*a**2 - 3*a + 36. Find q, given that s(q) = 0. -97, 1 Solve 0 + 2/17*d - 6/17*d**2 = 0. 0, 1/3 Let k(o) be the second derivative of -5*o**8/1344 - o**7/84 - o**6/144 - 29*o**4/12 + 6*o. Let m(s) be the third derivative of k(s). Factor m(i). -5*i*(i + 1)*(5*i + 1) Let w(j) = j**4 - j**3 - 2*j - 1. Let q(c) = 6*c**5 - 4*c**4 - 10*c**3 + 8*c**2 + 12*c + 6. Let p(n) = q(n) + 6*w(n). Suppose p(a) = 0. Calculate a. -2, 0, 2/3, 1 Let f = 12 - 10. Suppose -4*i = 4*a + 4 + 4, i - 3*a = 18. Suppose -2 - i*g**f - 5*g**2 - 9*g + 6 + 5*g = 0. What is g? -1, 1/2 Let s(u) be the second derivative of u**5/30 + 17*u**4/90 - 44*u**3/45 - 4*u**2/3 - 171*u. Let s(l) = 0. Calculate l. -5, -2/5, 2 Factor 675 + 3/4*m**4 + 93/2*m**3 + 1395*m + 3063/4*m**2. 3*(m + 1)**2*(m + 30)**2/4 Suppose 0 = x + 9 - 20. Suppose 2*l**2 + 4*l**2 - x + 13*l - 7*l**2 - l = 0. What is l? 1, 11 Let 13*a**2 - 12 + 22*a + 20*a + 16*a**3 - 16*a + 15*a**2 - 10*a**3 = 0. What is a? -3, -2, 1/3 Let w be -1 + 20 - (2 + -2). Suppose -2*b + w = 3*n + 2*n, 2*b + 5 = 3*n. Find f such that n*f**2 + 3*f + 0 + 0 + 0 = 0. -1, 0 Factor 45 + 3/2*f**4 - 213/2*f + 159/2*f**2 - 39/2*f**3. 3*(f - 6)*(f - 5)*(f - 1)**2/2 Let m be 4/(3/((-39)/(-26))). Suppose 25/6 - 5/3*g + 1/6*g**m = 0. What is g? 5 Suppose -52 - 38 = -5*i. Let d be i/27*((-3)/4)/(-1). Factor 0*s + 0*s**3 - d*s**4 + 0 + 0*s**2. -s**4/2 Let l(v) = -9*v**5 + 6*v**3 + 12*v**2 - 9*v - 6. Let w(q) = q**5 + q**3 - q**2. Let m(o) = l(o) + 6*w(o). Factor m(p). -3*(p - 2)*(p - 1)*(p + 1)**3 Let m(b) be the first derivative of 2*b**7/357 - b**6/85 + b**5/170 - 11*b + 10. Let a(h) be the first derivative of m(h). Suppose a(d) = 0. Calculate d. 0, 1/2, 1 Suppose -4*t + 5 + 4 = 3*u, -6 = t - 2*u. Determine l, given that -2/3*l**2 + t + 0*l - l**5 + 1/3*l**3 + 4/3*l**4 = 0. -2/3, 0, 1 Let b = 4/711 - -85276/7821. Suppose -20/11*t**4 + 72/11*t + 0 - b*t**2 + 74/11*t**3 + 2/11*t**5 = 0. What is t? 0, 2, 3 Let p(r) be the first derivative of -96*r**3 - 72*r**2 + 11 - 39*r**4 - 27/5*r**5 + 48*r. Solve p(h) = 0. -2, 2/9 Let j(p) = 11*p + 200. Let s be j(-18). Solve 49/2 + 7*i + 1/2*i**s = 0. -7 Let s(q) be the third derivative of -q**6/24 + q**5/6 + 5*q**4/6 - 20*q**3/3 + 30*q**2. Solve s(n) = 0. -2, 2 Let m(q) be the third derivative of -q**6/720 + 17*q**5/120 - 13*q**4/3 - 169*q**3/9 - 85*q**2 - 2. Determine x, given that m(x) = 0. -1, 26 Let v(f) be the third derivative of -f**6/100 - 13*f**5/50 + f**4/20 + 13*f**3/5 - 17*f**2 - 5. Find j such that v(j) = 0. -13, -1, 1 Let w(r) be the first derivative of 5*r**4/22 + 8*r**3/11 + 4*r**2/11 - 39. Suppose w(m) = 0. Calculate m. -2, -2/5, 0 Let b(p) = p**3 + 10*p**2 + 16*p + 4. Let n be b(-8). Let g be (56/98)/(n/14). Factor 0 + 1/3*r**4 - 1/3*r**g + 0*r - 1/3*r**5 + 1/3*r**3. -r**2*(r - 1)**2*(r + 1)/3 Suppose 10*a**2 + 55*a**2 + 318*a**3 - 96*a**3 - 17*a**2 + 27*a**4 = 0. Calculate a. -8, -2/9, 0 Let c(r) be the second derivative of -r**6/2340 - r**5/780 - 2*r**3/3 + 4*r. Let a(s) be the second derivative of c(s). Factor a(u). -2*u*(u + 1)/13 Factor -59*b + 16 + 107*b - 2*b**2 - 52*b. -2*(b - 2)*(b + 4) Let f(d) be the third derivative of 0 + 0*d**3 - 5/336*d**8 + 0*d**4 + 0*d**7 + 1/8*d**6 - d**2 + 1/6*d**5 + 0*d. Factor f(j). -5*j**2*(j - 2)*(j + 1)**2 Let -5*s**4 - 77*s + 131*s - 27*s**2 + 1 - 1 + 6*s**4 = 0. What is s? -6, 0, 3 Let g = 101 + 50. Let c = -151 + g. Solve 1/4*n - 1/4*n**3 + c*n**2 + 0 = 0 for n. -1, 0, 1 Let d(o) = 7*o**3 + 16*o**2 + 108*o + 144. Let w(b) = -29*b**3 - 64*b**2 - 436*b - 576. Let z(m) = 25*d(m) + 6*w(m). Factor z(k). (k + 4)*(k + 6)**2 Let v(m) be the second derivative of 32/3*m**3 - 26/9*m**4 - 1/45*m**6 + 2/5*m**5 + 0 - 64/3*m**2 - 18*m. Factor v(d). -2*(d - 4)**2*(d - 2)**2/3 Let u = -5404/5 - -1082. Factor u*n**2 - 8/5 + 2/5*n**3 + 0*n. 2*(n - 1)*(n + 2)**2/5 Let p be (-1 - (-3 - 1)) + 36/(-15). Suppose 8 = -m + 4*l, -2*m - 2*l + 4*l - 4 = 0. What is n in 3/5 + m*n - p*n**2 = 0? -1, 1 Let r be 2 + (-2*(-1)/(-2))/1. Let u be (r - (-5)/(-6)) + 2/6. Find d such that 1/4*d**3 - u + 0*d**2 - 3/4*d = 0. -1, 2 Let j be (-13)/(-5) - 4/(-10). Suppose -j*g = -14 + 5. Factor -2*d**2 + 2 - 2*d - 12*d**3 + 6*d**3 + 0*d**g + 8*d**3. 2*(d - 1)**2*(d + 1) Let k be (-180)/(-144) - (-1)/(-5 - -1). Let x be (0 - k)*(-4 - 4) + -3. Determine g so that 1/2*g**2 + 0 + 0*g - g**x - 1/2*g**4 + g**3 = 0. -1, -1/2, 0, 1 Factor -4*p**2 + 1/3*p + 46/3*p**3 + 0 + 25/3*p**5 - 20*p**4. p*(p - 1)**2*(5*p - 1)**2/3 Let d(y) = 6*y**4 - 3*y**3 - 15*y**2 + 6*y - 3. Let o(w) = w**4 - w**3 - 2*w**2 - 1. Let l(f) = -d(f) + 3*o(f). Determine v so that l(v) = 0. -2, 0, 1 Let v(f) be the first derivative of -f**3 - 9*f**2/2 + 138. Factor v(b). -3*b*(b + 3) Let m(l) = -5*l**2 + 2*l - 2. Let b = -24 + 26. Let o(u) = 16*u**2 - 7*u + 7. Let d(s) = b*o(s) + 7*m(s). Find x, given that d(x) = 0. 0 Factor -3*q**2 + 154 + 160 - 308 - 3*q. -3*(q - 1)*(q + 2) Let g(i) = -i**3 - 19*i**2 - 17*i + 22. Suppose 2*d + 62 = -4*b, b + 30 + 8 = 4*d. Let f be g(b). Factor -1/5 + 4/5*n**f - 4/5*n - 3/5*n**2 + 4/5*n**3. (n - 1)*(n + 1)*(2*n + 1)**2/5 Let o = 21 - 19. Find p such that -o*p**3 + p + 4 - 3 + p**3 + 0*p - p**2 = 0. -1, 1 Suppose 0 - c - 1/2*c**2 = 0. What is c? -2, 0 Let s(o) = -2*o**3 - 20*o**2 - 10*o - 352. Let b be s(-11). Let 32/7*a**2 + 18/7*a**4 + b*a + 0 + 48/7*a**3 + 2/7*a**5 = 0. Calculate a. -4, -1, 0 Let u(l) be the third derivative of 0*l**4 + 9*l**2 + 1/168*l**8 - 1/60*l**6 + 0*l**3 + 0 + 0*l + 1/105*l**7 - 1/30*l**5. Let u(v) = 0. What is v? -1, 0, 1 Let l(q) = 8*q - 42. Let a be l(7). Let o(m) = m**2 - 16*m + 31. Let k be o(a). Factor 1/7*j**k + 0 + 0*j + 1/7*j**2. j**2*(j + 1)/7 Let s be 40/18*1 - 2. Let z be (-17)/((-459)/(-177)) - -1*7. Let -s - z*q + 2/3*q**2 = 0. What is q? -1/3, 1 Let f(v) = -v**3 - 7*v**2 + v + 13. Let j be f(-7). Let a(w) = -3*w**2 + 107 + j*w**2 - 101. Let q(k) = -1. Let t(r) = -a(r) - 6*q(r). Factor t(p). -3*p**2 Let k(v) be the second derivative of -3*v**5/80 - 29*v**4/48 + 43*v**3/24 - 11*v**2/8 + 94*v - 1. Factor k(o). -(o - 1)*(o + 11)*(3*o - 1)/4 Factor -6/19*o**4 + 2/19*o**5 + 0*o**3 + 8/19*o**2 + 0*o + 0. 2*o**2*(o - 2)**2*(o + 1)/19 Let w(q) be the second derivative of 8*q**4 + q + 0 - 10*q**3 + 16/5*q**5 + 4*q**2. Factor w(n). 4*(n + 2)*(4*n - 1)**2 Suppose -l + 1908 = -10*l. Let x = l + 216. Determine w so that 6/5*w + 8/5*w**x - 4/5*w**3 - 2/5*w**5 - 8/5*w**2 + 0 = 0. -1, 0, 1, 3 Let f(v) be the second derivative of -10/9*v**2 + 0 - 11/27*v**3 - 1/54*v**4 - 18*v. Suppose f(a) = 0. What is a? -10, -1 Suppose 0*b**2 + 1 + b**2 + 2 - 2*b - 2 = 0. Calculate b. 1 Let x(k) be the third derivative of k**7/70 + k**6/5 + 3*k**5/10 - k**4 - 7*k**3/2 + 141*k**2. Solve x(q) = 0 for q. -7, -1, 1 Determine t so that 1802/3*t - 578 + 2/9*t**3 - 206/9*t**2 = 0. 1, 51 Let j(m) = -7*m**2 + 7*m + 6. Let b = 111 + -57. Suppose 4*c = 6*c - b. Let s(w) = -48*w**2 + 48*w + 42. Let r(p) = c*j(p) - 4*s(p). What is l in r(l) = 0? -1, 2 Let n(s) be the first derivative of -2*s**3 + 9/2*s**2 + 1/4*s**4 + 10 - 4*s. Factor n(d). (d - 4)*(d - 1)**2 Let o(l) = 4*l + 11. Let y be o(4). Let t = -23 + y. Suppose 8*k**3 - k**5 + 3*k**5 - 7*
{ "pile_set_name": "DM Mathematics" }
Let m(s) = 2*i(s) + 5*k(s). Calculate p(m(b)). 74*b**4 + 1 Let f(j) = 20870*j. Let r(p) = 4*p**2. What is f(r(s))? 83480*s**2 Let q(j) = -j**2. Let l(a) be the second derivative of a**5/60 - 3*a**2 - 6*a. Let y(x) be the first derivative of l(x). Calculate q(y(u)). -u**4 Suppose y - 2*y + 172 = 0. Let u(x) = -y + 172 + x. Let d(a) = -24*a**2. Determine u(d(q)). -24*q**2 Let t(c) = -c**2. Let p(q) be the second derivative of 13*q**3 - 3*q**2/2 + q - 6. What is p(t(r))? -78*r**2 - 3 Let g(y) be the third derivative of -2*y**4/3 - 67*y**2. Let r(h) be the first derivative of -h**3/3 + 13. Calculate r(g(c)). -256*c**2 Let k(m) be the second derivative of -m**3/6 + m - 2. Let d(s) = -27*s**2. What is k(d(l))? 27*l**2 Let y(q) = -q**2. Let b(r) be the second derivative of -r**4/12 - 7*r**3/3 - 3*r**2/2 + 11*r. Let v(c) be the first derivative of b(c). Determine y(v(h)). -4*h**2 - 56*h - 196 Let k(x) be the second derivative of -x**5/60 + 5*x**2 + x. Let n(l) be the first derivative of k(l). Let p(t) = -3*t**2. Calculate n(p(q)). -9*q**4 Let x(v) = 20*v. Suppose 3*i - 2*p + p = 4, -4*i + 2*p = -4. Let o(d) = -1025 + 1025 - d**i. What is o(x(f))? -400*f**2 Let y = -2 + 4. Let q(t) = -7*t**2 + 6*t**y + 4*t**2. Let s(c) be the first derivative of c**3 + 11. Calculate s(q(d)). 27*d**4 Let j(c) be the first derivative of c**2/2 - 299. Let h(u) = -9*u + 13. Calculate h(j(r)). -9*r + 13 Suppose 41 = -3*u - y - 0*y, -5*u - 2*y = 70. Let q(o) = -o - 1. Let j(x) = -8*x - 12. Let w(k) = u*q(k) + j(k). Let a(f) = -4*f**2. Give a(w(v)). -64*v**2 Let k(j) = 73*j + 7 + 3 + 1 - 11. Let l(v) = -v**2. Give l(k(z)). -5329*z**2 Let f(o) be the second derivative of -o**4/4 - 10*o + 5. Suppose 0 = -2*y - 3*y + 10. Let q(x) = 3*x**2 + 0*x**2 - x**y. What is f(q(a))? -12*a**4 Let m(b) = -6*b. Let y(i) = i - 6. Let j(x) = 2*x - 7. Let z(o) = 6*j(o) - 7*y(o). Let p(g) = 4*m(g) + 5*z(g). Let t(l) = 22*l. Give t(p(u)). 22*u Let t(a) = 4911*a. Let o(s) = -33*s. What is o(t(u))? -162063*u Let w(c) be the third derivative of 0*c + 0*c**3 + 0 - 5/24*c**4 - 2*c**2. Let a(i) = 3*i. Let p(g) = -3*g. Let y(f) = 3*a(f) + 2*p(f). Determine w(y(m)). -15*m Let q(v) be the first derivative of 6*v**3 - 122. Let w(x) = -11*x. Determine w(q(d)). -198*d**2 Suppose 3 = 2*i - 1. Let w = 32 - 30. Let v(c) = -3*c**w + 6*c**2 + 2*c - i*c. Let x(m) = -m. What is x(v(t))? -3*t**2 Let z(c) = -326*c - 3 + 1 - 153*c + 2. Let x(j) = -2*j. Calculate z(x(s)). 958*s Let y = -10 - -16. Let t(m) = m + m - y*m. Let u(l) = -2. Let f(o) = -3*o + 4. Let x(r) = f(r) + 2*u(r). Calculate t(x(j)). 12*j Let y(t) = 105*t + 75*t + 74*t - 94*t + 102*t. Let n(z) = 2*z**2. Give n(y(g)). 137288*g**2 Let v = -35 + 38. Let o(n) = 1193 - 1193 + v*n. Let b(t) = -2*t. Give o(b(i)). -6*i Let u(t) = 3*t. Let i(w) = 1838 - 915 + 0*w - 3*w - 2*w - 919. Give i(u(c)). -15*c + 4 Let o(q) be the third derivative of -q**5/20 - 128*q**2. Let t(f) = -f**2 - 12*f. Give o(t(r)). -3*r**4 - 72*r**3 - 432*r**2 Let h(w) = w. Let o(x) = 21*x**2 + 15*x. Let a(c) = -3*c**2 - 2*c. Let k(f) = -15*a(f) - 2*o(f). What is k(h(y))? 3*y**2 Suppose 2*a + 2*a + 5*w = -26, a + 14 = -5*w. Let l(r) = -r**2 + 7*r + 7. Let x(y) = -y - 1. Let f(d) = a*l(d) - 28*x(d). Let k(n) = -n. Calculate k(f(c)). -4*c**2 Let f(l) = 106*l**2. Let a(h) be the first derivative of -h**3/3 + 764. What is f(a(i))? 106*i**4 Let q(n) = n**2. Let v(i) = -643674*i. Give v(q(x)). -643674*x**2 Let d be 1/3 - (3 - (-1316)/(-12)). Let j(n) = d*n - 221*n + 100*n. Let t(o) = 4*o. Let c(h) = -9*h. Let q(b) = -6*c(b) - 14*t(b). Give j(q(x)). 28*x Let y(c) = 2*c**2 + 1789*c + 2. Let d(g) = 3*g. Calculate y(d(w)). 18*w**2 + 5367*w + 2 Let v(t) = -17193*t**2 + t - 5. Let y(b) = 3*b**2. Determine v(y(k)). -154737*k**4 + 3*k**2 - 5 Let q(k) = 6*k. Let x(l) = 18*l - 3. Let b(n) = -46*n + 7. Let r(i) = 2*b(i) + 5*x(i). Determine r(q(z)). -12*z - 1 Let s(b) = b. Let v(w) = -188*w + 6. Calculate s(v(d)). -188*d + 6 Let u(q) = -1 - 10*q - 15 + 16. Let z(j) = -9*j. Determine z(u(b)). 90*b Let a(m) = -5311*m**2. Let k(n) = -2*n**2. Give k(a(r)). -56413442*r**4 Let j(w) = -229*w**2 + 22*w - 11. Let g(b) = -45*b**2 + 4*b - 2. Let l(s) = -11*g(s) + 2*j(s). Let i(k) = -3*k. Calculate i(l(y)). -111*y**2 Let r(u) = -1792*u. Let q(f) = -8*f + 4. Calculate q(r(d)). 14336*d + 4 Let b(c) = -2*c**2. Let h(s) be the second derivative of 241*s**4/12 - 21*s. Calculate b(h(r)). -116162*r**4 Let c(t) = -21*t. Let p(x) = -19*x. Let m(f) = 6*c(f) - 7*p(f). Let s(z) = 4*z - 10. Let n(k) = -k + 3. Let r(d) = -20*n(d) - 6*s(d). Give r(m(o)). -28*o Let h(c) = c**2. Let o(s) = 4753853*s. Determine o(h(u)). 4753853*u**2 Let s(n) be the third derivative of n**7/420 + 7*n**4/8 - 22*n**2. Let i(a) be the second derivative of s(a). Let b(w) = -5*w. Give i(b(p)). 150*p**2 Let v(h) = -6*h**2 + 1. Let a(n) = 4*n - 6. Calculate v(a(i)). -96*i**2 + 288*i - 215 Let o(p) = 6*p. Let y(u) = 17*u - 11. Let c(v) = 3*v - 2. Let h(k) = 11*c(k) - 2*y(k). Calculate h(o(q)). -6*q Let f(w) be the second derivative of -w**5/20 + w**3/2 + 13*w. Let a(c) be the second derivative of f(c). Let r(x) = -2*x. Determine a(r(l)). 12*l Let f(v) = 2*v. Let q(c) be the third derivative of -2*c**2 + 0*c + 0 + 0*c**3 + 7/24*c**4. What is q(f(n))? 14*n Let u(q) = -36818*q + 2. Let i(r) = -4*r. Give u(i(s)). 147272*s + 2 Let d(u) = -10*u - 4. Let j(p) = -2*p - 16. Let c(f) = -2*f - 20. Let v(s) = 4*c(s) - 5*j(s). What is d(v(z))? -20*z - 4 Let i(n) be the third derivative of n**4/24 + 2*n**2. Let b(o) be the second derivative of -10*o + 0 + 0*o**2 - 1/2*o**3. Give i(b(z)). -3*z Let u(h) be the first derivative of -4*h**3/3 + 8*h**2 + 478. Let f(m) = -4*m. Calculate u(f(t)). -64*t**2 - 64*t Let g(d) = -344 + 344 - d. Let r(h) = -50*h + 6. Give r(g(q)). 50*q + 6 Let d(y) = -3*y - 4153. Let b(k) = k. What is d(b(f))? -3*f - 4153 Let s(l) = -364*l**2. Let t(k) = -2*k**2 - 208*k + 3. Give t(s(h)). -264992*h**4 + 75712*h**2 + 3 Let t(k) = 1064*k. Let l(z) = 2791*z. Determine t(l(x)). 2969624*x Let h(s) = 2*s**2. Let v(b) = 19039*b. What is h(v(w))? 724967042*w**2 Let o(p) = 111*p**2. Let m(h) = 7*h - 42. Let b(w) = 3*w - 15. Let g(n) = 14*b(n) - 5*m(n). Determine g(o(q)). 777*q**2 Let t(k) = -6*k + 5. Let d(b) = 5*b - 4. Let v(g) = 5*d(g) + 4*t(g). Let c(h) = -20*h**2 - 5*h. Calculate c(v(i)). -20*i**2 - 5*i Let o(i) = 73*i**2. Let g(z) = -20*z**2. Let y(j) = 24 - 7*j**2 - 47 + 23. Let u(k) = -6*g(k) + 17*y(k). Give u(o(d)). 5329*d**4 Let n(h) = 10*h**2. Let i(x) be the second derivative of -83*x**4/12 + 6*x + 5. Calculate i(n(w)). -8300*w**4 Let z(m) = 26*m**2 + 2*m. Let u(v) = -7328*v. Determine z(u(i)). 1396189184*i**2 - 14656*i Let h(v) = -v. Let c = 13 + -8. Let r be c/(-15) - (-10)/3. Let x(i) = 4*i - r*i**2 - i - 3*i. Calculate x(h(n)). -3*n**2 Let n(w) = 5*w + 12. Let q(d) = 12*d + 30. Let t(v) = -15*n(v) + 6*q(v). Let r(b) = 9*b + 15. Let m(f) = 1. Let o(y) = -45*m(y) + 3*r(y). Give o(t(x)). -81*x Let t(u) = -3*u**2. Let p(o) = -8*o + 74*o - 10*o. Determine p(t(v)). -168*v**2 Suppose 2*c = 2*g + 4, 5*c + 0 - 24 = -2*g. Suppose 0 = -3*f - g*f + 5. Let v(r) = f - 1 + 3*r**2. Let o(u) = u. Calculate v(o(w)). 3*w**2 Let z(o) = o. Let b(h) = 23*h - 137*h - 84*h - 124*h + 44*h. Calculate b(z(u)). -278*u Let u(k) be the third derivative of k**6/120 + 2*k**3/3 - 3*k**2. Let o(y) be the first derivative of u(y). Let t(n) = n. Determine o(t(p)). 3*p**2 Let a(z) = 4*z + 20. Let h(d) = -61*d**2. Calculate a(h(y)). -244*y**2 + 20 Let g(z) = 5091*z**2 - 3*z - 2. Let x(h) = 5*h. Give x(g(q)). 25455*q**2 - 15*q - 10 Let p(c) = 32192*c**2. Let z(j) = -j**2. Determine z(p(i)). -1036324864*i**4 Let t(y) = -35237 + 2*y + 35237. Let n(l) = 2*l + 643. What is n(t(k))? 4*k + 643 Let p(t) be the third derivative of t**8/20160 - 4*t**5/15 - 16*t**2. Let m(x) be the third derivative of p(x). Let f(c) = -3*c**2. What is m(f(s))? 9*s**4 Let r(h) = -58*h**2 - 56*h**2 - 56*h**2 + 7*h**2 + 150*h**2. Suppose 0*f = -f + 2. Let d(c) = c - c - f*c. Calculate d(r(s)). 26*s**2 Let t(l) = 2*l. Let p(w) = -208*w**2 - 32. Let g(x) = -32*x**2 - 5. Suppose 0 = j - 4. Let r = j + -9. Let f(h) = r*p(h) + 32*g(h). What is f(t(z))? 64*z**2 Let m(h) = -h. Let n(a) = -2949578*a. Determine m(n(s)). 2949578
{ "pile_set_name": "DM Mathematics" }
ctor of d and 8? 8 Suppose 2*z + 423 - 61 = 3*q, -476 = -4*q + 4*z. Let v = 475 - q. What is the greatest common factor of v and 39? 39 Let j(w) = w + 36. Let d be j(-27). Let a = -210 - -234. What is the highest common divisor of d and a? 3 Let l be (-160)/(-72) + (-10)/45. Let n(f) = -12*f + 1. Let u be n(-2). Suppose -3*h = -l*h - u. Calculate the greatest common divisor of h and 25. 25 Let m be 455/26*(-80)/(-28). What is the greatest common divisor of m and 200? 50 Let u(a) = a**3 - 7*a**2 - 19*a + 30. Let x be u(9). Calculate the greatest common divisor of x and 14. 7 Let t(w) be the second derivative of w**3/3 + w**2 - 20*w. Let v be t(0). What is the highest common divisor of v and 26? 2 Let w be (-4)/10 - (-3136)/(-35). Let c = -40 - w. What is the greatest common factor of c and 10? 10 Let i be ((-4)/6)/(2/3). Let r be 0/((-9)/(-3))*i. Suppose d - 3*w = -12, -3*d + r + 14 = w. Calculate the highest common divisor of 1 and d. 1 Let a(l) = -3*l**2 + 7*l + 12. Let k(y) = -2*y**2 + 7*y + 12. Let h(z) = -3*a(z) + 4*k(z). Let m be h(-6). Calculate the highest common factor of 42 and m. 6 Suppose 5*u - 5*a = -8*a + 148, 5*a = 3*u - 116. Let w(h) = -2*h**3 - 6*h**2 + 8*h + 4. Let q be w(-5). Calculate the greatest common divisor of u and q. 32 Suppose 0*f - 22*f = -1100. What is the greatest common divisor of 4 and f? 2 Suppose j + 11 - 35 = 0. Suppose 0 = 3*u + 2*n - 53, 5*u + 2*n - 71 = j. Calculate the highest common divisor of 3 and u. 3 Let t(w) = 27*w - 3. Let q = -4 - -6. Let r be t(q). Let s = 46 - 12. Calculate the highest common factor of r and s. 17 Let a = -80 + 64. Let h be (42 - (a/2)/4)*1. Suppose 4*d = -16, -4*d = -5*n + d + 40. Calculate the greatest common divisor of n and h. 4 Let x(q) = 7*q + 24 - 11 - 7 - 4. Let a be x(-1). Let m(i) = -38*i - 10. Let g be m(a). Calculate the greatest common factor of 20 and g. 20 Suppose 0 = -15*r + 7*r + 96. Suppose -r*p + 9*p = -42. Suppose -3*o - 17 = -185. What is the highest common factor of o and p? 14 Suppose -2*x + 398 = -0*x. Let o = x - 100. Let k = -6 + 15. What is the highest common divisor of k and o? 9 Let c(k) = 5*k**2 + 7*k. Let u be c(5). Suppose 0 = 4*f - 0*f - 12. Suppose x + 62 = f*v, -10 = 6*x - x. What is the highest common factor of v and u? 20 Suppose -42 = -20*s + 58. What is the greatest common factor of s and 160? 5 Let j be (2130/(-9))/(-6 + 210/36). What is the highest common factor of j and 71? 71 Let v(o) = -o + 16. Let a be 14 + (-3 - (0 - 3)). Suppose 0 = 5*q - 2*q, 2*c - q = a. Let w be v(c). Calculate the greatest common factor of 45 and w. 9 Let m(y) = -8*y - 7. Let a be m(10). Let b = -64 - a. Calculate the highest common factor of b and 23. 23 Let j(a) = 4*a - 58. Let z be j(22). Calculate the highest common divisor of z and 195. 15 Let a be (-3)/9*-161 + (-190)/114. What is the highest common divisor of a and 1196? 52 Suppose 0 = 4*r + 2*g - 144 - 150, 228 = 3*r + 4*g. Let y = -441 + 449. Calculate the highest common divisor of y and r. 8 Suppose 17 = -3*t + 29. Calculate the highest common factor of t and 64. 4 Suppose 2*m - 6 = -x, 6 = 7*m - 2*m - 2*x. Suppose a = -m*a + 132. Suppose -2*d = 4*y - a, -y = -d + y + 38. Calculate the greatest common factor of d and 12. 6 Let h(s) = 1. Let l(y) = -11*y - 1. Let q(v) = 4*h(v) + l(v). Let j be q(-3). Suppose -j = -5*i + i. Calculate the greatest common factor of i and 1. 1 Let m = -498 - -501. Calculate the greatest common divisor of 48 and m. 3 Let t = -38 + 68. Calculate the greatest common divisor of 80 and t. 10 Let c = 6 - 6. Suppose c = -2*y - y. Suppose n - 6*t + 3*t - 60 = 0, 5*n - t - 300 = y. Calculate the greatest common factor of n and 20. 20 Suppose 4*f - 197 = 727. Calculate the greatest common factor of 42 and f. 21 Let j = -272 - -134. Let m = 141 + j. What is the highest common divisor of m and 6? 3 Let b be 128/40 - 1/5. Suppose -4 - 2 = -b*d. Calculate the highest common divisor of d and 2. 2 Let j be -2 - (-39)/15 - (-6282)/30. Calculate the highest common divisor of 168 and j. 42 Let a be 7 - 4/(4/(-3)). Let z(p) = p**3 - 15*p**2 - 14*p + 8. Let j be z(16). Calculate the highest common divisor of a and j. 10 Suppose -209*g + 213*g - 24 = 0. Calculate the greatest common divisor of 132 and g. 6 Let h = 1649 - 1641. Suppose 36 = 2*u + 12. What is the highest common factor of h and u? 4 Let a(r) = 3*r**2 - r. Let i be a(1). Suppose 16 = 2*d + i*d. Suppose s + 0*m = -m + 4, -2*s = d*m - 14. What is the highest common divisor of 4 and s? 1 Let w = -158 + 173. Calculate the greatest common divisor of 35 and w. 5 Suppose -3*i = 2*i - 40. Let d(l) = l**2 - 39*l + 9. Let h be d(34). Let z = 177 + h. What is the highest common factor of z and i? 8 Suppose -17*c + 18*c = 55. Calculate the greatest common factor of c and 15. 5 Suppose -u = -0*u + 1. Let r be (u/(-4))/((-21)/(-84)). What is the highest common divisor of r and 2? 1 Let l be -3*(-1 - (-12)/(-9)). Let q = 113 - 112. Calculate the highest common divisor of q and l. 1 Let o be -2*(-2)/(6/9). Let d be (-1)/(-3) - (-52)/o. What is the greatest common factor of 72 and d? 9 Let m = 614 + -591. What is the greatest common factor of m and 138? 23 Let r(f) = -f**2 - 19*f - 20. Let q be r(-15). Calculate the highest common divisor of 15 and q. 5 Let k be (-1)/(-2) + 609/(-6). Let z be -356*(3/6 + -1). Let a = z + k. What is the greatest common factor of a and 11? 11 Suppose -5*l + 51 = 3*o, -27 = -3*l + 32*o - 35*o. Let j = 294 + -210. What is the greatest common divisor of l and j? 12 Let d be (-4)/(3 - 12/3). Let u be 1/(1/2 - 0). Suppose -b + 2 = -u. What is the highest common factor of d and b? 4 Suppose -287*v + 293*v - 384 = 0. Calculate the highest common divisor of 120 and v. 8 Let r be (52/(-5))/(3 + 96/(-30)). Let k = 59 - r. What is the greatest common divisor of 63 and k? 7 Suppose -2*h - 3*k = 2*k + 2, 5*k - 2 = 2*h. Let a(q) = -17*q**3 - 2*q**2 + 1. Let t be a(h). What is the greatest common factor of t and 80? 16 Suppose 2*y - 4*b - 4 = 0, 0*y - 2*b = 5*y - 10. Suppose t - y*t = -4. Let n(z) = z**2 - 7*z + 6. Let o be n(7). What is the greatest common factor of o and t? 2 Suppose 24*c - 29*c = -1485. Calculate the highest common divisor of c and 81. 27 Let j = 53 - 20. Suppose -4*q - 102 = -7*q + 3*o, 3*q = -3*o + 96. What is the greatest common factor of j and q? 33 Let z be (-6 - -4) + 1/((-4)/(-1268)). Calculate the greatest common divisor of 45 and z. 45 Let t = 10 - 0. Suppose -6*l + 28 = -t*l. Let b be -6 - l - (1 - 32). Calculate the greatest common factor of b and 96. 32 Let m = 237 + -141. Let g(u) = -13*u**3 - 4*u**2 - u + 2. Let y be g(-1). What is the highest common divisor of m and y? 12 Suppose 202 = 4*b - 78. Let g be 455/63 - 16/72. What is the highest common divisor of b and g? 7 Let f(t) = 71*t + 3. Let r be f(4). What is the greatest common factor of 7 and r? 7 Let b be -7 - 476/(-35) - 2/(-5). Let u = 11 + -7. Suppose i - 3 + 8 = -u*f, f - 11 = -2*i. What is the highest common factor of i and b? 7 Suppose -2*o + 10 + 34 = 0. Let d(j) = -6*j**2 - 4*j - 1. Let g be d(2). Let p be (-16)/(((-36)/g)/(-6)). Calculate the highest common factor of p and o. 22 Let j be 48/(39/18 - 2). Suppose 4*y - 496 + 16 = 0. Suppose -2*i = 4*q - y, i - 12 = 4*i. Calculate the greatest common divisor of q and j. 32 Suppose -2*b = -t + 2, 2*b + 3*b - 10 = -5*t. Let v be -4 - -406 - -1*t. Let i be 18/27 - v/(-6). Calculate the greatest common factor of i and 17. 17 Let z(l) = 3*l - 3. Let d = 52 - 50. Let m be z(d). What is the highest common factor of m and 4? 1 Let o(x) = -3 - 3*x**2 - x**2 + 0 + 2*x + 5*x**2. Let t be o(-4). Suppose -t*c + 69 = -66. Calculate the greatest common factor of c and 216. 27 Let u(q) = q + 45. Let c be u(0). Suppose -9*x + 27 + 0 = 0. Let p be x - (-16)/9 - (-6)/27. What is the greatest common factor of c and p? 5 Suppose -30 = -2*d + d. Let u be (0 + 1 - -138) + 11. What is the highest common divisor of u and d? 30 Suppose -4*t + 5*o + 3003 = 10*o, 0 = 4*t + 2*o - 2994. Calculate the highest common factor of t and 9. 9 Let y(p) = p**3 - 7*p**2 + 3*p - 18. Let v be y(10). Calculate the greatest common factor of 78 and v. 78 Suppose 18*k - 48 = 15*k. What is the greatest common factor of 184 and k
{ "pile_set_name": "DM Mathematics" }
6/z*(-1 - (-21)/18). Let g = 2 + -1.8. Which is the nearest to 3/2? (a) 2 (b) g (c) k a Let z = -92 - -733/8. Let u be (-2)/(-4) + (-2)/4. Let f = -363 - -1455/4. Which is the closest to z? (a) 2/9 (b) u (c) f b Let s = -0.645 + -0.355. Which is the closest to 32? (a) s (b) 1 (c) 2/5 b Let a(d) = 11*d + 110. Let v be a(-10). What is the nearest to 1 in -2, 5, v, 1? 1 Let x(m) = m**3 - 2*m**2 - 10*m - 25. Let k be x(5). Which is the nearest to -0.2? (a) k (b) -3 (c) 3 a Let q = -603 + 599. Which is the nearest to -1/4? (a) 2.9 (b) 2 (c) q (d) -0.1 d Let s = -134 - -668/5. Let x be (3 - 5) + (-2)/2. Let y = 3 + x. What is the nearest to -1 in -0.2, y, s? s Let h = -129 - -129.8. Which is the nearest to h? (a) 3/4 (b) -0.1 (c) 4 (d) -3/8 a Let s = -251/1205 + 2/241. Which is the nearest to -1? (a) 0.5 (b) 11 (c) s c Suppose -3*h = -4*h + 3*w - 3, 0 = -h - w + 9. What is the closest to -2/3 in -0.4, h, -3? -0.4 Let i be (-24)/4*(2 - (-20)/(-9)). Let g = 0.06 + 1.94. Which is the closest to -1? (a) i (b) -5 (c) g a Let l = 0.63 - 0.555. Let p = l + -1.075. Let s = 0 + 3. Which is the closest to -2? (a) p (b) 2 (c) s a Let w = 640/2961 + 2/329. What is the closest to w in 4, -2.5, 3/7, -4? 3/7 Let h = -39 - -275/7. Which is the closest to h? (a) 2 (b) 0.5 (c) 0.8 b Let i = 2.567 - 4.567. Let w = -4.289 + 0.269. Let k = -0.02 - w. Which is the nearest to i? (a) -3 (b) k (c) -5 a Suppose -437 = -4*s - q, -4*q + 72 = 2*s - 164. Let o be (24/s)/((-1)/(-3)). Which is the closest to 1? (a) 9 (b) o (c) -2/7 b Let m be 11/14 + 2/(-4). Suppose -322 + 127 = -65*q. What is the nearest to 5 in m, q, -5? q Let q be (-44)/204 - 6/51. Which is the nearest to -2? (a) q (b) -0.4 (c) 15 b Let u = 51/29 + -175/116. Suppose -3 = j - 2. Which is the closest to u? (a) -0.3 (b) 1/2 (c) j b Let a be (-12)/(-9) + 1/(-1). Let h = 36.98 - 36.68. What is the closest to a in h, -1/8, -1.7? h Let p = 0.383 + -0.283. Which is the closest to 3? (a) 7 (b) p (c) -5 b Let x = -0.8 + 0.5. Let t = 184 - 112. Let d = -75 + t. What is the nearest to 0.1 in x, d, 0? 0 Let p = 947 + -942. What is the closest to -1 in -5, 17, p? -5 Let k = 22 + -31. Let l be (-4)/3 - k/27. What is the nearest to l in 0.3, 5, -4? 0.3 Let w = 1.126 - 0.126. Which is the closest to -1.3? (a) -2 (b) -1 (c) w (d) -4 b Let s = 0.5 + 7.5. Let g = 8 - s. Let f be (-2)/(-2)*(-2)/(-26). Which is the nearest to 1/3? (a) g (b) -0.4 (c) f c Suppose -3*n = -6, -3*s + 2*n = -6 + 4. Let y(k) = k**3 - 3*k**2. Let m be y(2). Which is the closest to 0.1? (a) -3/8 (b) s (c) m a Suppose 0*g = -g. Let r be g/((-2)/2) + 3. Suppose 5*u - 27 = 3*i, -u - i + r - 4 = 0. Which is the nearest to -6? (a) -4 (b) u (c) 2/5 a Let f be ((-378)/36)/(-21) + (-35)/(-2). What is the closest to -1 in -5, f, -0.3, -3/5? -3/5 Let x = -9.614 - -0.014. Let g = 1.4 - x. What is the closest to 1/2 in g, -0.2, -1/10? -1/10 Let w be -2 - -1*3/2. Let g = 847/212 + 40/53. What is the nearest to 2/5 in w, 2, g? w Let j = 247 - 247.9. What is the closest to -0.1 in -0.3, 1/2, j, 5? -0.3 Let s = -0.7 - -0.2. Let v = -53.17 - -53. Let u = 0.13 - v. What is the closest to 2/9 in s, u, 1/10? u Let x = 554 - 553. Which is the nearest to x? (a) -0.2 (b) -1/3 (c) 0.09 (d) 7 c Let r(k) = -k - 5. Let x be r(-4). Let b be (1/x)/(4/12). What is the closest to b in 0.03, -5, 0? -5 Let x be -1*(-18)/4 - 3. Which is the nearest to 2/3? (a) x (b) 0.1 (c) 0.4 c Let o = -8 - -7.7. Let x = 0.116 - -0.084. Which is the nearest to x? (a) 2 (b) -1 (c) o c Let p = -3/59 - -65/118. Suppose -1 = 6*a + 5. Let l = 0.1 + -0.1. What is the nearest to l in -1/4, a, p? -1/4 Let v = -7 - -8. Suppose 0 = -i - 2 + 3. Which is the closest to i? (a) v (b) 3 (c) -0.4 a Let o = 0.62 - 1.1. Let j = -0.02 + o. Suppose 0 = -3*l - n + 3*n - 4, 5*l + 24 = -n. What is the nearest to 2/5 in l, j, -2? j Let a = 481 - 480. What is the nearest to 1/4 in a, -0.3, -0.07? -0.07 Let m = -4.9 + 5. Suppose -2*y + 4 = -y. Let h = -2.7 - -2.6. What is the nearest to h in -0.1, m, y? -0.1 Suppose h - 4*k - 35 = 4*h, 2*k = 4*h + 10. Let y(g) = g**2 + 2*g + 2. Let r be y(-2). Let o = -165 - -162. What is the nearest to r in 2/3, o, h? 2/3 Let g = -171.4 - -164.4. What is the closest to -2 in g, 7, -0.3? -0.3 Suppose 2*w = s - 6, 19*s + w = 14*s - 3. Let i = -0.04 - 3.96. Which is the nearest to 2/5? (a) i (b) -0.3 (c) s c Let p = -7 + 5. Let v be p/((7/(-2))/(-7)). Let u be (1*6/v)/(-3). Which is the closest to -1? (a) u (b) 5 (c) -5 a Let w(n) = n**2 - 4*n - 3. Let g be w(-2). Suppose -5*r - 4*o = -4 - 8, -g = -3*o. Let f = -0.5 + 0.1. Which is the closest to 0.1? (a) f (b) -1 (c) r c Let k = -210 - -213. What is the closest to -2/3 in k, 0.5, 0.3, 1? 0.3 Let q = -0.001 + 4.501. Let w = -4.1 + q. What is the closest to -0.1 in 3, w, -1/3? -1/3 Suppose -3*q + 3*k = -15, q - 15 = -k - 10. What is the closest to -1 in 1/4, q, 1.7? 1/4 Let j = -5 - -6. Let u = j - -3. Let v(k) = -2*k + 18. Let l be v(9). Which is the closest to l? (a) u (b) 2 (c) 1 c Suppose -4*g - 7 + 27 = 0. Let k = 211/3 + -69. What is the closest to 2/3 in -3, k, g? k Let b = -121/3 + 41. Let x = -83/158 - -2/79. Let f = 0.26 + 1.74. What is the closest to x in 1/10, f, b? 1/10 Let l = 156/791 + 10/113. What is the closest to l in -1/21, -4, 4? -1/21 Let h = 96 + -97. Suppose 9 = 2*r + 3*w, 5*w - 1 - 14 = -3*r. Suppose r*n + n = 0. Which is the nearest to h? (a) 6 (b) n (c) -0.1 c Let r = 5633 + -73461/13. Let k = 18 + r. What is the closest to 1 in 2, 1, k? 1 Let u = -70.3 + 70. Let v = -3.7 + 3. Let q = v + 5.7. Which is the closest to u? (a) -4/5 (b) 2 (c) q a Let p = -4 - -4. Let z = 3.61 + -1.61. Which is the closest to 0? (a) p (b) z (c) -1 a Let u = -21623601423/2170 - -9964793. Let w = -1/310 + u. What is the closest to 2/5 in -1, w, -3? w Let i = -155/21 + 5/7. Let d = 49/6 + i. Which is the closest to 1? (a) 3/4 (b) d (c) -0.5 a Let z = -3.702 + -0.298. What is the nearest to 2 in -0.3, z, 1/4? 1/4 Let q be 78/65*(12/(-54))/((-4)/(-6)). Let y = -5.2 + 3.1. What is the closest to q in 1/9, y, 5? 1/9 Let r = -3 + 11. Let t be (r/6)/((-84)/(-18)). Let n = 7 + -7. What is the nearest to n in -1, t, 4/11? t Let c = 5 - 4. Let y = -1 - -4. Let b be (c/y)/(-2 + 3). What is the nearest to b in -0.5, 0.02, -2? 0.02 Let z be (2/(-5))/(27/(-15)). Let f = 2 + -2.3. Let j = 41.3 - 41.5. What is the closest to f in z, 0.1, j? j Suppose -3*x = 5*x + 40. What is the closest to 1 in 5, x, -2/3? -2/3 Let q = -281 + 267.13. Let f = q - -16. Let j = 0.13 - f. What is the nearest to 0.2 in j, 1, 0.4? 0.4 Let z = -56.5 + 61.5. Let m = -4360 + 143861/33. Let t = -1/11 + m. What is the nearest to t in 2/5, z, -1/5? -1/5 Let m = -44 - -83/2. Let f = -491/4 + 122. Let w be (14/28)/((-3)/2). Which is the closest to w? (a) m (b) 4/5 (c) f c Let s(n) = n**2 + 15*n - 59. Let f be s(-18). Let h be (-20)/(-45) + (-2)/3. What is the closest to h in -1, 1/2, f? 1/2 Let q = 3 - 7. Suppose -79 = -3*y + 398. Let z = 160 - y. What is the nearest to z in -0.2, q, 2/5? 2/5 Let h = 5/8 + -7/8. Let u = 4 + -4.4. Let v be 2/(-6)*(0 - 30/25). What is the nearest to v in h, 1, u? 1 Let o = -6.2 + 6. Let l(s) = 49*s + 48. Let x be l(-1). Which is the closest to 2? (a) x (b) o (c) 8 b Let i = -0.75 - -0.86. Which is the nearest to -0.2? (a) 9 (b) 1/2 (c) i c Let d = 109 - 110. What is the closest to -1 in -1/3, d, 0.4? d Suppose -2*t + 5 = -3*g, -3*t + 3*g + 6 = -0*g. Suppose 0 = 9*h + 17 + t. Let c = -1.5 + -0.5. What is the closest to c in 0, h, 0.4? h Let n = 0.0891 + 0.0109. What is the nearest to 1 in -0.1, 0.4, n, 0.13? 0.4 Let m = -138 + 98. Let n = -39.9 - m. Let p = 0.06 + -5.06. Which is the closest to 4? (a) n (b) p (c) -0.5 a Let q(i) = 11*i**3 + 2*i - 2. Let j be q(1). Suppose 3*u = 2*m - m + j, 4*u - 8 = 0. What is the nearest to -1/4 in m, -3, -0.05? -0.05 Let o = 0.001 + 0.399. Let g = -37.2 - -37. What is the nearest to g in o, 0, 4? 0 Let y = -11 - -10.9. Let f = 2.6 + 7.4. Let p = f - 9. What is the nearest to y in -1/6, p, 0.3? -1/6 Suppose 0*v = 6*v + 138. Let c = v + 27. What is the nearest to -0.2 in 2/23, c, -0.5? 2/23 Let r = 56.2 + -59.2. Which
{ "pile_set_name": "DM Mathematics" }
+ 3*k, 3*d + 5*k + 18 = 0. Let b be (14/1666)/((-5)/25 - (-6)/(-20)). Is b >= d? True Let s(m) = 8*m**2 + 109*m + 120. Let d be s(-45). Which is bigger: d or 11416? 11416 Let d be (376/(-235))/((-3)/15). Is d > 144? False Let r(g) = 31 - 5*g + 3*g + 3*g - 20. Let c be r(-11). Suppose -3*j + 0*j + 12 = c, -2 = 2*y + 3*j. Which is smaller: y or -5? y Let c(z) = -z**2 - 55*z - 483. Let g be c(-44). Which is smaller: g or 1/7141? 1/7141 Suppose 102 = -27*f - 222. Let a be (-15)/21 - 6/21. Let t = a + -12. Which is smaller: t or f? t Let k = 19956/35 + -2848/5. Suppose n + 1 = 3. Is n at least k? True Let h be (((-21714)/(-6 - -20))/(-3))/(2/2). Is 514 greater than h? False Let j = -15 - -15. Suppose 3*i + j - 6 = 0. Suppose -i*w = 9*w + 11. Is -1 at least as big as w? True Let h(t) = -t**3 + 24*t**2 + 43*t + 1277. Let c be h(27). Which is smaller: c or 239? 239 Let z be (-343273)/(-1454082) - (-2)/(-12). Is 1 equal to z? False Let a = -0.2254 - -1.1964. Let t = -0.029 - a. Which is smaller: t or 10? t Suppose 72*t = 76*t - 1320. Let p = t + -303. Which is smaller: 2 or p? 2 Let r be 44/3*(-189)/546*-13. Which is smaller: -2 or r? -2 Suppose -12220 = -31*i + 6380. Let y be (i/175)/((-2)/7). Let n = 5 - 17. Are n and y equal? True Suppose -8*o = -13*o + 280. Let v = o + -282/5. Let w = 11/40 + v. Is -1 not equal to w? True Let b = 425338/133 - 3198. Which is greater: -1/2 or b? b Let p(h) = -2*h - 2. Let n be p(-5). Let t be ((-2)/14 - 15)/((-5)/(105/36)). Which is smaller: t or n? n Suppose -7*d + 2*d - 295 = 0. Let f be (-8 + (-26)/(-4))*(-410)/(-15). Let q = f - d. Which is smaller: q or 19? q Suppose h + 4*f - 3 = f, 2*f + 6 = 0. Suppose 12*z - h = 15*z. Let a be (-24)/(-99)*6/z. Is 1 greater than a? True Suppose -28*r + 45964 = 45992. Which is bigger: r or -2/13173? -2/13173 Let k(t) = -16*t + 20. Let g be k(-8). Let o be g/7*(-6)/(264/(-1282)). Let u = -616 + o. Which is greater: 1 or u? 1 Let f be 5/(1/(187/55)). Let r = 114/83 - -4939/332. Is r at most as big as f? True Suppose 0 = 5*a - 2*s + 17, 0*a + 2 = a + 5*s. Let g be a + 8 + -8 - (-38)/(-2). Is g greater than -25? True Suppose p + v = 13, -p + 15*v + 25 = 19*v. Is -462 != p? True Suppose 0 = -5*h + 40, -h = -3*y + 51 - 62. Is 1/1987 greater than y? True Suppose 1 = z - p - 0, -5 = -z - 3*p. Suppose 7*t - 25 = z*t. Suppose 3*v + 3*n - 13 + 1 = 0, -4 = t*v - n. Is 2/17 bigger than v? True Let v be 17 + (4 - 19) - 230. Which is smaller: -6 or v? v Let f(n) = -3*n**2 + 9*n - 2. Let o be f(4). Let k = -12 - o. Suppose k = -5*c + 17. Which is smaller: c or 8/3? 8/3 Let j(i) = i**2 + 6*i - 7. Let h be j(-7). Suppose h = 2*q - 5*n - 66, 4*q + 0*q - 104 = 3*n. Is -2 > q? False Let j = -197 + 317. Let l = -90 + j. Which is bigger: l or -1? l Suppose -9*m + 34 = -7*m + g, -m - 2*g = -23. Suppose -m = -6*a + 69. Suppose -34 + a = 10*t. Is -3 greater than or equal to t? False Let d be 200/(-6 + 16) - -141. Which is greater: 152 or d? d Let v = 1.9621 - 1.9621. Is v at least as big as 1126? False Let c(o) be the third derivative of -o**6/120 - o**5/60 - o**4/6 - o**3/2 + 154*o**2. Let v be (-4)/(12/15) + 2. Let s be c(v). Is s bigger than 28? False Let w = -253675885/1616628 - -2/404157. Let z = 157 + w. Let u = -169 - -170. Which is smaller: u or z? z Suppose 3*n = -2*n + 30. Let h be 27/(-21) + -1 + 10/35. Let m be ((-276)/(-72)*3/h)/(-1). Which is smaller: n or m? m Let j be 142 - (-3)/3*4. Let u = -125 + j. Suppose 0 = 7*b - 0*b - u. Which is smaller: b or 11/3? b Let j = -14.463 + -2174.537. Which is greater: j or 0.2? 0.2 Let k = -2.5 + 4.62. Let r = 1.12 - k. Is r less than 47? True Let y be (2 + -1)/(0 + 1). Let f be ((-6)/(-18))/(y/(-12)). Let d = -6 - 3. Is f greater than d? True Let p(c) = c**2 - 1. Let s(y) = -y**2 - y. Let j(m) = -m**2 - 4*m - 3. Let v(f) = j(f) - 4*s(f). Let n(u) = 11*p(u) - 4*v(u). Let x be n(1). Is 0.3 > x? True Let t be (-23)/(-11) - (5 - 30/10). Which is smaller: t or -47? -47 Suppose -3*m = c + 23, -26 + 1 = 3*m - c. Let q be 63/(-8)*(-24)/(-28)*m. Let t be -44*(-1 + 0 + (-10)/40). Which is smaller: q or t? q Let h be (18/7)/((-4)/(-84)). Let o = h + -69. Let j be (95/o - -4) + 4/3. Is j at most -2/41? True Let n = 21186600331/1870 + -11329731. Let o = n + 1/374. Is o less than 0.16? False Let p = 0.19395 - -30.03905. Let l = -0.367 - p. Is 1 less than or equal to l? False Let n = -22663 - -22680. Does 98 = n? False Let c = -53 - -54. Let f be (-6)/(-24)*(c + -2). Which is greater: 5 or f? 5 Let f = 9156 + -6669. Which is bigger: 0.1 or f? f Let x(a) = 5*a. Let g be x(-3). Let u be (-18)/g*(-5)/(-2). Suppose -u*y - 4*o = -11, -y + 2*o - 7 = -2*o. Which is smaller: y or -14? -14 Let i = 11044 + -11058.794. Let v = i - -14.8. Let l = 0.606 - v. Which is greater: 7/3 or l? 7/3 Suppose w - 243 = 58. Let c = w - 327. Is c > -26? False Let d be 582/(-8) - 2/8. Suppose -3545 - 9100 = 9*k. Let x = 7023/5 + k. Which is bigger: d or x? x Let h be (-10)/((-12 - -9)/3). Is h greater than or equal to 73? False Suppose -10*b + 14*b = -4. Let o be 36 + b + (-15 - -17). Suppose -o = -2*k + 7. Which is smaller: 23 or k? k Let i(l) = -l**3 + 13*l**2 - 18*l - 51. Let q be i(11). Let m = -3 + 2.9. Which is smaller: m or q? q Suppose 5*o + w = -1355, 5*o + 92*w = 93*w - 1345. Is o greater than or equal to -282? True Let r = -126 + 76. Let l = r + 40. Let x = -10.02 - l. Are x and 2/7 non-equal? True Let z = -331 - -10589/32. Suppose 3*y = r + 8 + 1, -9 = 4*r - 3*y. Which is smaller: r or z? z Let u(j) = 30*j**2 + 2*j + 4. Let w be 0 + -2 - 3/(-2)*30. Suppose -w = 6*l - 31. Let g be u(l). Is 120 <= g? True Let m = -11278 - -11242. Let p = 3.1 + -3. Is m greater than p? False Suppose 0 = -524*z - 0 + 5 - 5. Which is bigger: z or 2/126139? 2/126139 Let a be (-7)/28 + 2238/(-8). Let q be a/21*12/2. Let o be (-54)/152 - 20/q. Which is smaller: o or -2/11? -2/11 Suppose 0 = 2*c + 4*j - 16, -c + 3*j - 10 = -3. Let l be 4*5/(-4)*c. Is -12 bigger than l? False Suppose -4*w = -i - 2610, w + 130 = 129. Is i less than or equal to -2614? True Let v be 1997 + (32/(-240) - 4/(-30)). Is 2000 at least as big as v? True Let y = 955.53 + -1016. Let l = 57 + y. Which is bigger: l or 2? 2 Let x = 6.7 + -7. Let f = -0.0081 + 0.0479. Let m = 19.9602 + f. Does x = m? False Let q = -431 + 400. Let z(p) = -p**2 - 37*p - 22. Let r be z(q). Is r smaller than 165? True Let l = -18496 - -16997828/919. Is l >= 0? True Let h be ((-147)/(-980))/(258/4). Let c(u) = -u**2 - 6*u - 6. Let k be c(-5). Is h at least k? True Let a be (425/217)/(22/33). Let o = a + -41/14. Which is greater: -2/3 or o? o Suppose 2*u + 8*u - 13197 = 6963. Which is smaller: u or 2015? 2015 Let s = 4310.71 - 4311. Is 0.029 less than s? False Let x = 42 - -11. Let k = x - 46. Is -5 bigger than k? False Let q(v) = -55*v + 1916. Let k be q(37). Is -122 <= k? True Let h(k) = -k**3 + 60*k**2 + 365*k - 2599. Let f be h(65). Let o = 6179/29 + -213. Are o and f unequal? True Let j = -11050 + 13514151/1223. Which is bigger: j or 0? j Suppose 2*a + 3*v - 33 = 0, -3*v + 54 = 4*a - 27. Suppose 9*z - 11*z + 50 = 0. Let f = z - a. Which is bigger: 1/112 or f? f Let o = 15 - 15. Suppose j - 3*j = o. Suppose j = -q, -3*u - 5*q - 145 = 2*u. Is u greater than -30? True Let g = 1343 - 1358. Let h(w) = -w**2 - 16*w - 7. Let t be h(-13). Suppose t = -3*c + c. Is g <= c? False Suppose 11751 = 27*m + 492. Which is bigger: m or 410? m Let t(b) = -b**2 + 4*b - 8. Suppose 20 = -m + 2*z + 7, -5*m = -z + 20. Let j be t(m). Let c = j + 3. Is c equal to -28? False Let l(d) = -2*d**2 - 262*d + 2089. Let h be l(-139). Is h != -170? True Let c = -1.86 + 1.32. Let d = -0.14 - c. Which is smaller: d or 13? d Let a(x) = -30*x**2 + 1. Let l be a(-1). Let d be 6/10*(-44 - l). Which is smaller: -10 or d? -10 Let n be (10 - 8)*(-33411)/(-42). Is 1590 smaller than n? True Let b be 394/(-2) - 11/(-44)*(3 - 7). Is 2 equal to b? False Let o be (-40 + 40)/(-3 + 1). Suppose o = 12*t + 139 - 1435. Is t <= 109? True Let i(p) = -55*p - 3555. Let j be i(-67). Is 37 >= j? False Let u(k) = -k**3 + 4*k**2 - 2*k + 6. Let f be u(4). Suppose 0*w - 2*w = -32. Suppose -30*h = -34*h - w. Is f smaller than h? False Let k = 9 - 10. Let v = -38534/9 + 4303. Let u = v - 21. Are k and u non-equal? Tru
{ "pile_set_name": "DM Mathematics" }
- 7*p**2 + 8*p - 9. Let a be l(6). Put a, t, 17 in ascending order. a, t, 17 Suppose -4*a - r - 27 = 0, -a + 9*r - 11 = 5*r. Sort -3/8, a, 7.3 in descending order. 7.3, -3/8, a Let q = -0.03 - -1.53. Let z = 2 - q. Let f = -78 - -313/4. Sort z, -4, f in ascending order. -4, f, z Let i = 0 - -1. Suppose 3*l + 5 + 4 = 0. Let h be (-8)/(-10)*25/30. Put l, h, i in ascending order. l, h, i Suppose -46*s = -3*s - 430. Sort -4/17, 4, s in increasing order. -4/17, 4, s Let f = -189 + 188. Sort 1, 0, -3, f in descending order. 1, 0, f, -3 Suppose 15*v + 57 = -18. Sort v, -2/13, 0.2 in descending order. 0.2, -2/13, v Let z(p) = -p**2 - 8*p + 3. Let r(g) = -g**2 - 7*g + 4. Let k(y) = 2*r(y) - 3*z(y). Let s be k(-10). Put -1/6, 1/6, s in ascending order. s, -1/6, 1/6 Suppose -4*g = -i + 1 - 11, -i = -2*g. Let z = 8 + -9. Sort i, 0, z in descending order. i, 0, z Let j = 349 - 352. Sort j, 1/2, -2, -2/7. j, -2, -2/7, 1/2 Let c = 1.4 - 1.3. Let t be (2*3/(-24))/(65/(-40)). Sort -3, c, 1/6, t in descending order. 1/6, t, c, -3 Let z = -1.7 - -0.6. Let h = z - -1.2. Let c be ((-2)/(-56))/((-3)/(-8)). Put c, -1/4, h in descending order. h, c, -1/4 Suppose 1 = -n - 2. Let z = -8.15 - 0.05. Let q = -9.2 - z. Put n, q, -0.1 in decreasing order. -0.1, q, n Suppose c - 1162 + 1164 = 0. Suppose -x + 17 = 5*a, 3*x + 2 = 4*x. Suppose 3 = -a*u - 0. Put c, -3, u in increasing order. -3, c, u Let f = 34.14213 + 0.02787. Let a = 34 - f. Let r = 1.17 + a. Sort -1/5, -2, r. -2, -1/5, r Let a = -84.8 + 85.8. Sort 31/9, 5, 0, a in increasing order. 0, a, 31/9, 5 Suppose 22 = g - 15. Let f = 39 - g. Let j(r) = r**3 + 4*r**2 - 4*r. Let l be j(-5). Sort f, l, -2. l, -2, f Suppose s - 3*s + 3*t = 0, s = -3*t + 18. Suppose 4*n - s*n = -4. Suppose 10*h - 5 = -45. Sort -2, h, n in increasing order. h, -2, n Let b = 5 + -6. Let c(g) = -8*g**2 - 1. Let d be c(-1). Let z be (-2)/(-9) - 43/d. Put 0, z, b in increasing order. b, 0, z Let b(j) = 74*j - 4. Let n be b(0). Put 5, 14, n, -3 in increasing order. n, -3, 5, 14 Let f be (6 + -4)/(1/(-3)). Let k be (2/(-4) - 1)*f. Let w be 1/2 + k/2. Put w, 0.6, 0.4 in decreasing order. w, 0.6, 0.4 Let b = -2 + 2.05. Let k = -1.15 - b. Let f = k + -3.8. Put f, 5, -0.2 in decreasing order. 5, -0.2, f Suppose -d - t - 3*t + 15 = 0, 5*t - 35 = 2*d. Let g = -543 + 550. Sort 0, d, g, -4 in decreasing order. g, 0, -4, d Suppose -28*x - 166 = -110. Put x, 8, 1, 6 in descending order. 8, 6, 1, x Suppose -2 + 10 = -8*l. Sort l, -16, -2 in descending order. l, -2, -16 Let i be 1*-15*(-6)/(-18)*-1. Let z = -3 + 3. Sort 76, 2, z, i. z, 2, i, 76 Suppose g + 10 = 1. Let q(d) = 2*d**2 + 14*d - 31. Let b be q(-9). Sort g, b, -1 in descending order. b, -1, g Suppose 3*p - 4*h + 15 = 0, 3*p - h + 7 = -p. Put -38, p, -5 in descending order. p, -5, -38 Let t = 25 - 20. Suppose 2 = r + j + 6, 0 = -r - t*j - 24. Suppose 0 = 3*l + 4*m + 12, -l + 1 = -2*m + 5. Put r, l, -2 in descending order. r, -2, l Let w be (-3)/(45/25)*-3. Suppose 23 = w*h - 2. Put -1, -5, h in descending order. h, -1, -5 Let i = 1442 + -5769/4. Let f = 8 + -11. Let k = 3.2 + f. Sort i, -0.5, k in decreasing order. k, i, -0.5 Let j be (232/(-72))/1 + 3. Put 5, j, -7 in decreasing order. 5, j, -7 Let j = -8.26 - -20.26. Sort -5, j, 1/6 in ascending order. -5, 1/6, j Suppose 6*x = 2*x + 8. Let n be 15/(-6)*4/x. Put 2, -3, n in descending order. 2, -3, n Suppose -9*r - 120 = -102. Put 3, -2/3, -1/6, r in decreasing order. 3, -1/6, -2/3, r Let h(x) = x**2 - 4*x - 5. Let q be h(4). Let f(m) = -m**3 - 14*m**2 + 16*m - 18. Let u be f(-15). Let d = 35 + u. Sort q, d, 8 in increasing order. q, d, 8 Suppose -2*f - 134 = 4*a, -a - 2*f = -5*f + 51. Sort -1, 3, a in decreasing order. 3, -1, a Let b be 13/11 - 10/55. Suppose 3*r - 2*f = -4*f + 12, f = -2*r + 8. Sort r, -4, b in descending order. r, b, -4 Let y be -1*7/((-49)/(-35)). Let a(d) = d**2 - 5*d + 2. Let j be a(3). Put y, j, 2 in increasing order. y, j, 2 Let l = 35 + -23. Let x be ((-4)/10)/(l/10). Let o be (-1001)/(-182) + -5*1. Sort o, x, 0.3 in decreasing order. o, 0.3, x Let d = 80 + -65. Suppose 4*m = v + d, -2*m + 3*v = v. Put m, 3, -12, -1 in increasing order. -12, -1, 3, m Let i(z) = z**3 + 26*z**2 - 56*z - 4. Let r be i(-28). Sort r, -3/11, 0.3, -1 in decreasing order. 0.3, -3/11, -1, r Let j = -164 + 164.1. Let z = -14.62 + -0.38. Sort z, j, -1/4 in ascending order. z, -1/4, j Let g be ((-2)/(-5 + 4))/((-6)/333). Let j = g - -332/3. Sort -5/2, -0.2, j in descending order. -0.2, j, -5/2 Let o = -1.55 + -0.05. Let m = o + 2. Let f = 97/20 - 21/4. Sort f, m, -2 in ascending order. -2, f, m Let p = 67.94 - 72. Let s = 4 + p. Let h = -1.4 - -1. Put s, 0.4, h in increasing order. h, s, 0.4 Let t = -1846 - -1946. Sort 2/3, t, -0.1, 2/15. -0.1, 2/15, 2/3, t Let b be ((-18 - -19) + (-55)/53)/2. Sort b, -5, 2/5, -4 in ascending order. -5, -4, b, 2/5 Suppose -25 = -2*f + k + 4*k, 4*f = k + 5. Let g be 3 - (-1 - f)*2. Suppose g*x = 7 - 2. Put x, -0.3, -0.1 in decreasing order. x, -0.1, -0.3 Let y be (3/9)/(13/6). Put y, 1, -4, -2 in descending order. 1, y, -2, -4 Suppose 2*l + 0 = -6. Let q be (-12)/18 - 2/l. Suppose -5*p - 3*s = -p + 8, -3*p = -4*s - 19. Sort q, p, -3. -3, q, p Suppose -1775 = 4*g - 1783. Put g, 11, -5, 3 in decreasing order. 11, 3, g, -5 Let u(c) = 2*c - 16. Let s be u(12). Let d(p) = -p**2 + 7*p + 5. Let t be d(s). Let h(m) = -m - 2. Let v be h(0). Put v, t, -1 in descending order. -1, v, t Suppose 27 - 2 = 5*l. Let g = 12 - 8. Suppose 0 = 21*w - 32*w - 33. Put g, w, l in decreasing order. l, g, w Let r = 12.79 - 11.79. Sort 3, 8, 1/2, r in increasing order. 1/2, r, 3, 8 Let i = -0.782 + -0.218. Sort i, 3, 12, 0.2. i, 0.2, 3, 12 Let y = -0.0812 - -8.0812. Put -13, -3, y, 4 in descending order. y, 4, -3, -13 Let i be 118/(-2) - 11/(44/8). Sort i, -0.5, -4/7 in ascending order. i, -4/7, -0.5 Let z = 106.04 + -106. Sort z, 2, 3, 5 in descending order. 5, 3, 2, z Let w be -46*2 - (-16)/4. Let l be (w/15 - -3) + 3. Put l, -5, 5 in increasing order. -5, l, 5 Let h = 2.72 + -3. Let n = 0.58 + h. Put 3, -1, n in descending order. 3, n, -1 Suppose -x - r - 16 + 22 = 0, -3*x + 2*r = -3. Sort x, -1/4, -1/7, 0.2. -1/4, -1/7, 0.2, x Let l = 188/13 - 14. Sort l, -5, 1/4 in decreasing order. l, 1/4, -5 Let i be (-3)/(40/60 - (-26)/(-36)). Put 3, -1, -5, i in decreasing order. i, 3, -1, -5 Let v = -140 + 84. Let y = -56 - v. Put -2, -3, y, 11 in descending order. 11, y, -2, -3 Let h(j) = 2*j**3 - 18*j**2 - 3*j + 31. Let c be h(9). Put c, -6, -10 in decreasing order. c, -6, -10 Let r = -383 + 3445/9. Sort -5/7, 2/13, 2, r. -5/7, r, 2/13, 2 Let k be 1/(5/(-2) + 3). Let s be 2 + (-3 - (-12)/k). Let z = 6 + -7. Put s, z, -0.5 in descending order. s, -0.5, z Suppose 298 = -13*r - 573. Put -3, r, 4, -4 in descending order. 4, -3, -4, r Let o = 45.21 + -45. Let u = -194.91 - -195. Let m = o + u. Sort m, 1/3, 1/6 in decreasing order. 1/3, m, 1/6 Let c = 7 - 13. Let t be (((-2)/(-6))/((-1)/18))/(4 - 7). Put t, c, -3 in increasing order. c, -3, t Let s = -300 - -310. Sort s, 5, 2 in descending order. s, 5, 2 Let h(b) = -5*b + 219. Let n be h(45). Put -3, -0.1, n, -1/7 in descending order. -0.1, -1/7, -3, n Let h(m) = m**3 - 4*m**2 + 6*m - 6. Let s be h(3). Suppose 2*y + 16 = -n, s = -3*n - 3. Let j be (y/(-21))/((-3)/(-18)). Sort 3, j, -6 in increasing order. -6, j, 3 Let l = 108 - 217/2. Put l, -0.1, 65 in decreasing order. 65, -0.1, l Let s = 2 + -1. Suppose -r - 49 - 51 = -5*f, -3*r = 0. Suppose 35 + 45 = f*d. Put s, 3, d in decreasing order. d, 3, s Let j = -5688.013 + 5698. Let h = -0.013 - j. Put 1/8, h, -1, 4 in decreasing order. 4, 1/8, -1, h Let v(w) = -w**3 + 14*w**2 + 4*w - 21. Let o be v(14). Let d be (3 + -7)*o/(-20). Sort 3, 5, d in descending order. d, 5, 3 Suppose -n - 7 = 2*x, -4*n = 10*x - 14*x + 16. Sort -4, n, 68. n, -4, 68 Let v = 231/5 + -46. Let p = -5815.5 - -5816. Sort v, -0.2, p. -0.2, v, p Let t be (0*5/40)/(-1). Sort -3, 5, t. -3, t, 5 Suppose -5*n - 4*p = -120, 0*n + 120 = 5*n - 5*p. Suppose -2*a - 3*u = 2*a + 26, -4*a - n = 2*u. Put -3, 0, a in increasing order. a, -3, 0 Let w be (17 - 637/35)/((-4)/(-10)). Put 5, w, 71 in decreasing order. 71, 5, w Let g(v) be the first derivative of v**4/4 + 5*v**3/3 + 2*v**2 + v + 73. Suppo
{ "pile_set_name": "DM Mathematics" }
5355? 25356 What comes next: 2657, 10607, 23863, 42431, 66317? 95527 What is next in 11612, 11622, 11680, 11810, 12036, 12382, 12872? 13530 What comes next: -396, -445, -484, -513, -532? -541 What comes next: -811, -1649, -2505, -3391, -4319, -5301? -6349 What is the next term in 193, 750, 1679, 2986, 4677, 6758, 9235? 12114 What is next in -11292, -22697, -34104, -45513, -56924, -68337, -79752? -91169 What comes next: 18225, 72788, 163691, 290940, 454541, 654500? 890823 What is the next term in 585, 2316, 5203, 9246, 14445, 20800? 28311 What comes next: -15, -519, -1359, -2535, -4047? -5895 What is the next term in -65822, -65819, -65816? -65813 What is the next term in -86333, -86395, -86457? -86519 What is next in 8, -11, -72, -205, -440, -807, -1336, -2057? -3000 What comes next: -17, -32, -29, -2, 55? 148 What is the next term in 43, 336, 629, 922, 1215? 1508 What is the next term in -62, -77, -92, -113, -146? -197 What comes next: -2847, -5732, -8617, -11502, -14387? -17272 What is next in 2126, 2080, 1994, 1868, 1702, 1496? 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-16300 What is the next term in 465, 466, 473, 486, 505, 530? 561 What comes next: 1988, 1926, 1864, 1802, 1740, 1678? 1616 What comes next: 12047, 12043, 12027, 11993, 11935, 11847, 11723, 11557? 11343 What is next in -150666, -602668, -1356004, -2410674, -3766678? -5424016 What comes next: -47, -2, 119, 352, 733, 1298? 2083 What is next in 1313, 2691, 4123, 5609, 7149, 8743, 10391? 12093 What is next in -312, -873, -1790, -3063, -4692? -6677 What is next in 2044565, 4089131, 6133697? 8178263 What is next in -284, -524, -718, -866, -968, -1024? -1034 What is next in 16, 129, 428, 1003, 1944? 3341 What is the next term in -10159, -10163, -10167, -10171? -10175 What is the next term in -329, -718, -1365, -2270? -3433 What comes next: 6223, 6219, 6205, 6175, 6123, 6043? 5929 What is the next term in -9726, -9694, -9664, -9630, -9586, -9526? -9444 What is next in -18481, -18482, -18483? -18484 What is next in 22, 72, 152, 262, 402? 572 What is the next term in -438, -854, -1242, -1602, -1934, -2238, -2514? -2762 What comes next: 42361, 42371, 42381, 42391, 42401? 42411 What is next in -1230, -1266, -1302, -1338, -1374? -1410 What comes next: 484, 1038, 1592, 2146, 2700, 3254? 3808 What is next in 1169, 2623, 4641, 7505, 11497, 16899, 23993, 33061? 44385 What is the next term in 26, 50, 144, 326, 614, 1026, 1580, 2294? 3186 What is next in 1677, 1679, 1681, 1683, 1685, 1687? 1689 What comes next: -365435, -365436, -365437, -365438, -365439? -365440 What comes next: 1936, 1972, 2010, 2050, 2092, 2136? 2182 What is the next term in -8355, -8337, -8307, -8265, -8211, -8145, -8067? -7977 What is the next term in -1985, -2004, -2037, -2084, -2145, -2220, -2309? -2412 What is next in -4662333, -4662332, -4662331, -4662330, -4662329? -4662328 What is the next term in -171, -305, -371, -363, -275, -101? 165 What comes next: 2049, 2012, 1987, 1980, 1997? 2044 What comes next: -237, -339, -617, -1161, -2061? -3407 What comes next: 93734, 93738, 93744, 93752, 93762, 93774? 93788 What is next in -12996, -12993, -12990, -12987? -12984 What is next in -1594, -6426, -14478, -25750, -40242, -57954, -78886? -103038 What is the next term in -54, 49, 226, 483, 826, 1261, 1794, 2431? 3178 What is the next term in 782, 825, 872, 923, 978, 1037, 1100? 1167 What is next in 82, 294, 744, 1552, 2838, 4722, 7324, 10764? 15162 What is next in 443, -125, -681, -1219, -1733, -2217, -2665, -3071? -3429 What is the next term in -255355, -510714, -766073, -1021432, -1276791, -1532150? -1787509 What comes next: -1783, -1779, -1771, -1759, -1743, -1723? -1699 What is the next term in -11149, -11177, -11207, -11239, -11273, -11309, -11347? -11387 What is the next term in -4737, -9406, -14075? -18744 What is next in 1532, 1558, 1642, 1814, 2104, 2542? 3158 What is next in 14204, 14134, 14018, 13856, 13648, 13394? 13094 What is next in -13490, -54048, -121672, -216362, -338118, -486940? -662828 What comes next: 1721, 3421, 5121, 6821? 8521 What is the next term in -3919, -15484, -34759, -61744, -96439, -138844? -188959 What is the next term in -1141, -4903, -11173, -19951, -31237? -45031 What is next in -186, -194, -202, -210, -218? -226 What comes next: 25428, 25430, 25432? 25434 What is next in -189350, -378777, -568202, -757625? -947046 What comes next: -95997, -95940, -95883, -95826, -95769, -95712? -95655 What comes next: 2069, 4272, 6479, 8690, 10905, 13124? 15347 What is next in -6550, -6548, -6546, -6544, -6542, -6540? -6538 What is the next term in 1739, 2085, 2431, 2777, 3123? 3469 What comes next: -19342, -19344, -19346, -19348? -19350 What is next in -466367, -466365, -466363, -466361, -466359, -466357? -466355 What is the next term in -301, -210, -191, -280, -513? -926 What is next in -2418, -2239, -2060, -1881, -1702, -1523? -1344 What comes next: -277, -1089, -2445, -4345, -6789? -9777 What comes next: -119, -606, -1439, -2636, -4215, -6194, -8591? -11424 What is next in -94300, -188607, -282914, -377221, -471528, -565835? -660142 What comes next: 1950, 1839, 1654, 1395, 1062, 655, 174? -381 What comes next: 481, 1919, 4317, 7675, 11993, 17271, 23509? 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{ "pile_set_name": "DM Mathematics" }
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False Is 495798343 a prime number? False Is 2971537 a composite number? False Is 7166381 a composite number? True Is 747573991 a composite number? True Is 7098857 prime? False Is 8427031 composite? False Is 2527403 prime? True Is 101247137 composite? False Is 815799371 prime? False Is 6649267 prime? True Is 13365503 composite? False Is 33395539 a prime number? False Is 35124211 prime? False Is 16117951 composite? True Is 704617 a composite number? False Is 49635673 composite? False Is 313081 composite? False Is 76583103 a prime number? False Is 1545983 a prime number? True Is 1078471 prime? True Is 30970267 composite? False Is 29959693 a prime number? False Is 58223689 composite? False Is 611251 a composite number? True Is 833518709 a prime number? True Is 37957901 composite? False Is 63249751 a composite number? False Is 6264361 a composite number? False Is 1827583 prime? True Is 51846563 prime? True Is 5105215 prime? False Is 1980743 a composite number? False Is 169356973 prime? True Is 2228701 a prime number? False Is 33986399 a composite number? True Is 5025043 a prime number? False Is 15572441 a composite number? True Is 3612943 composite? False Is 543445951 composite? True Is 3917141 composite? True Is 35079649 a prime number? False Is 169259747 a prime number? False Is 4511051 a composite number? False Is 88722461 composite? False Is 66129926 prime? False Is 44384231 composite? True Is 876149 a prime number? True Is 236056409 a composite number? False Is 703794431 a composite number? False Is 77961029 a composite number? False Is 463707109 a prime number? True Is 16581113 composite? False Is 425136091 composite? False Is 1014270091 a composite number? False Is 2458481 a prime number? True Is 679597 composite? False Is 21350387 prime? True Is 25136759 composite? False Is 12277997 a composite number? True Is 1353307 composite? True Is 32821121 composite? False Is 11835367 prime? False Is 26944891 a composite number? True Is 5817937 a prime number? True Is 261011391 a composite number? True Is 53049827 prime? False Is 18591862 a composite number? True Is 2647069 prime? False Is 346714 a composite number? True Is 7291 composite? True Is 21723533 a prime number? False Is 7583431 composite? False Is 142801 prime? False Is 140393161 a composite number? True Is 90888467 a prime number? True Is 310568542 a prime number? False Is 6650465 a composite number? True Is 10928269 a prime number? False Is 1047721 a composite number? False Is 1357891 composite? True Is 378691 a composite number? False Is 18949258 composite? True Is 14646989 a composite number? True Is 10593679 composite? False Is 12061471 a composite number? False Is 319237 composite? False Is 59424545 prime? False Is 37656923 composite? False Is 3163879 prime? True Is 358248379 a prime number? False Is 50381129 composite? True Is 10659947 a composite number? True Is 11829893 prime? True Is 25930363 prime? True Is 625057 prime? True Is 188922047 a composite number? True Is 3272837 prime? True Is 28970881 a composite number? False Is 1306213 a prime number? True Is 154922731 prime? False Is 44363615 prime? False Is 264975377 prime? False Is 2692891 a prime number? True Is 70506551 a prime number? False Is 49472081 composite? False Is 8298911 prime? True Is 290926067 composite? False Is 945521 composite? False Is 27083899 prime? False Is 652667 a prime number? True Is 52734919 a prime number? False Is 6662729 a prime number? False Is 5062129 prime? False Is 526646243 composite? False Is 120491279 a composite number? False Is 706874087 a prime number? False Is 15284233 prime? True Is 14147797 a composite number? False Is 23018491 composite? False Is 84465245 a composite number? True Is 260890307 prime? True Is 7584755 composite? True Is 6472073 composite? True Is 2072503 a composite number? True Is 190855207 a prime number? True Is 4987303 composite? False Is 5123785 a prime number? False Is 434666501 prime? True Is 1972093 composite? False Is 6681557 prime? True Is 8554361 a composite number? False Is 1826369 prime? False Is 84488777 prime? True Is 58183441 prime? False Is 505777 prime? True Is 360388417 composite? False Is 24307737 a composite number? True Is 101573293 a composite number? False Is 599129035 a prime number? False Is 567373 a prime number? False Is 4307213 composite? False Is 1496483 prime? False Is 355541 prime? True Is 1209562 a composite number? True Is 36689749 composite? False Is 76141529 composite? False Is 132398621 composite? False Is 1831369 composite? False Is 150217 prime? True Is 2085037 prime? True Is 7904227 a composite number? True Is 153916723 a composite number? False Is 11487481 a composite number? False Is 5636431 composite? True Is 10370531 prime? True Is 10726477 a prime number? True Is 87331313 a prime number? True Is 74007607 a composite number? False Is 52190819 composite? False Is 28889129 a composite number? False Is 13461199 a prime number? True Is 1374311 prime? True Is 28422421 a composite number? True Is 225119 prime? True Is 102626537 prime? False Is 106264693 a composite number? True Is 26399047 prime? True Is 50119159 prime? False Is 23839709 a prime number? False Is 7697741 composite? False Is 6483023 a composite number? True Is 41267 prime? False Is 9029 prime? True Is 6346027 a prime number? False Is 3220211 prime? True Is 39877907 composite? False Is 6884419 a composite number? True Is 14756113 prime? True Is 14912137 prime? True Is 5843429 composite? False Is 2081041 composite? True Is 12199609 a prime number? True Is 100747529 a prime number? False Is 20119999 a prime number? False Is 7662307 prime? True Is 12261127 composite? False Is 964445791 prime? True Is 11245111 prime? False Is 3375951 a composite number? True Is 948551 a prime number? True Is 17630111 a prime number? False Is 40117741 a composite number? False Is 354727901 composite? True Is 5385433 a prime number? False Is 199884761 prime? True Is 7469303 composite? False Is 773890657 a prime number? True Is 4278223 prime? True Is 83944979 composite? False Is 416333 a composite number? False Is 1240831 a composite number? False Is 526549 prime? False Is 9315869 composite? False Is 1284497 prime? False Is 10111195 prime? False Is 11572195 a prime number? False Is 996993391 composite? False Is 51190063 a prime number? True Is 28622831 a prime number? True Is 4967549 prime? True Is 770717 prime? False Is 448783 prime? False Is 1741687 prime? True Is 238894723 a composite number? True Is 158891141 a prime number? False Is 49778027 a prime number? False Is 10465142 prime? False Is 1642343 a prime number? False Is 314958931 a prime number? False Is 1627309 prime? True Is 592585549 prime? True Is 173743589 a composite number? True Is 588913453 composite? False Is 5047859 composite? True Is 194291597 prime? False Is 121492433 prime? True Is 19244811 a prime number? False Is 4084303 a prime number? True Is 1465987 prime? True Is 58267189 prime? True Is 1783867 a composite number? False Is 6669503 composite? False Is 60057181 a prime number? True Is 79029161 composite? False Is 6793433 a prime number? False Is 340498133 composite? False Is 132179 composite? True Is 12941171 a composite number? True Is 63083573
{ "pile_set_name": "DM Mathematics" }
ound -110.769 to the nearest ten. -110 What is -5303 rounded to the nearest one hundred? -5300 Round 0.19426 to 2 decimal places. 0.19 What is -12800 rounded to the nearest one thousand? -13000 What is -39150 rounded to the nearest ten thousand? -40000 What is -8078000 rounded to the nearest 100000? -8100000 What is -50.262 rounded to the nearest integer? -50 What is -895770 rounded to the nearest 100000? -900000 What is 87.249 rounded to the nearest ten? 90 Round 164940 to the nearest 10000. 160000 Round -0.14301 to 3 decimal places. -0.143 What is 0.212378 rounded to 3 dps? 0.212 What is -0.0491 rounded to two decimal places? -0.05 What is 0.010176 rounded to three dps? 0.01 Round 8495000 to the nearest one hundred thousand. 8500000 What is 4310270 rounded to the nearest 1000000? 4000000 What is -0.000031018 rounded to five decimal places? -0.00003 Round 0.0000031353 to six dps. 0.000003 Round 2013 to the nearest one thousand. 2000 What is -0.000061613 rounded to seven dps? -0.0000616 What is 5914 rounded to the nearest one hundred? 5900 Round -0.00010695 to five dps. -0.00011 What is 19.107 rounded to the nearest ten? 20 Round 0.0232109 to four decimal places. 0.0232 What is 0.00234 rounded to two dps? 0 Round 1.685 to one dp. 1.7 Round 47.713 to the nearest integer. 48 What is 881 rounded to the nearest one hundred? 900 Round 168600 to the nearest 10000. 170000 What is -0.0000095 rounded to 5 decimal places? -0.00001 What is 0.03733 rounded to two dps? 0.04 What is 0.00002292 rounded to six decimal places? 0.000023 Round -0.0000001757 to seven dps. -0.0000002 What is -1297.3 rounded to the nearest 100? -1300 Round -0.000301326 to four dps. -0.0003 Round 0.0007216 to 5 decimal places. 0.00072 Round -25020 to the nearest 1000. -25000 Round -0.000313 to five decimal places. -0.00031 Round -84.48 to the nearest 10. -80 What is 5.7859 rounded to 1 dp? 5.8 What is 0.335 rounded to one dp? 0.3 What is 279.81 rounded to 0 dps? 280 What is -0.000464 rounded to four dps? -0.0005 What is 0.000037973 rounded to 6 decimal places? 0.000038 What is -0.0002132 rounded to 5 dps? -0.00021 What is -0.0005143 rounded to four decimal places? -0.0005 Round -4112.3 to the nearest ten. -4110 What is -3.8712 rounded to 1 dp? -3.9 Round -960.5 to the nearest 100. -1000 What is 57690 rounded to the nearest 10000? 60000 Round 133000 to the nearest one million. 0 Round 1.513 to 1 dp. 1.5 Round -0.00004002 to 5 dps. -0.00004 Round 34850 to the nearest ten thousand. 30000 What is 0.000001948 rounded to 7 dps? 0.0000019 What is 788.93 rounded to 0 dps? 789 Round 152760 to the nearest 10000. 150000 What is 9.2215 rounded to 0 decimal places? 9 Round 0.036991 to 2 dps. 0.04 Round 297 to the nearest 100. 300 Round -8413 to the nearest one thousand. -8000 Round -0.002118 to 4 dps. -0.0021 What is 3.7532 rounded to 0 decimal places? 4 Round -1.2841 to 1 decimal place. -1.3 Round 9886600 to the nearest one million. 10000000 What is -66458 rounded to the nearest 100? -66500 Round 0.000307 to three dps. 0 What is 9911000 rounded to the nearest 100000? 9900000 What is -0.007133 rounded to three decimal places? -0.007 What is -16682000 rounded to the nearest one hundred thousand? -16700000 What is -0.0000458 rounded to five dps? -0.00005 Round 175751000 to the nearest 1000000. 176000000 What is -0.0018163 rounded to four decimal places? -0.0018 What is 0.69829 rounded to one decimal place? 0.7 Round 617000 to the nearest ten thousand. 620000 Round -29368000 to the nearest one hundred thousand. -29400000 What is -0.000072981 rounded to five dps? -0.00007 What is 0.0001152 rounded to six dps? 0.000115 Round -0.2174 to two dps. -0.22 Round -0.3876 to 2 dps. -0.39 Round 38780 to the nearest 10000. 40000 What is -34777000 rounded to the nearest one million? -35000000 Round -510000 to the nearest 10000. -510000 What is 1.9052 rounded to one dp? 1.9 What is 46.1 rounded to the nearest 10? 50 Round 0.0055062 to three dps. 0.006 What is -0.0000009558 rounded to 7 decimal places? -0.000001 Round 102890 to the nearest one thousand. 103000 Round 0.00001342 to 6 dps. 0.000013 What is 2132860 rounded to the nearest 10000? 2130000 Round 0.185 to 2 decimal places. 0.19 Round 0.0465 to 2 dps. 0.05 Round -6.37 to the nearest one hundred. 0 Round -2201000 to the nearest ten thousand. -2200000 What is 187.866 rounded to the nearest 10? 190 What is 0.000000415 rounded to 7 decimal places? 0.0000004 Round -36280000 to the nearest one million. -36000000 Round -1.66 to the nearest integer. -2 Round 0.017177 to three dps. 0.017 Round -0.0000012 to 7 decimal places. -0.0000012 What is -776530 rounded to the nearest 10000? -780000 Round 1.14097 to one decimal place. 1.1 What is -12.711 rounded to the nearest integer? -13 What is -124759000 rounded to the nearest 1000000? -125000000 Round -35360 to the nearest 1000. -35000 What is 5968 rounded to the nearest 100? 6000 What is 0.0005453 rounded to 5 dps? 0.00055 What is 199.3 rounded to the nearest ten? 200 What is -395500 rounded to the nearest 10000? -400000 What is -0.24555 rounded to three dps? -0.246 What is 2.775 rounded to one decimal place? 2.8 Round -311.9 to the nearest 10. -310 What is -1576000 rounded to the nearest ten thousand? -1580000 What is -0.0000008903 rounded to 7 decimal places? -0.0000009 Round 28893000 to the nearest one million. 29000000 Round 0.00026588 to five dps. 0.00027 What is -878.37 rounded to the nearest one hundred? -900 Round -126700000 to the nearest one million. -127000000 What is 2.7554 rounded to one dp? 2.8 What is -422676000 rounded to the nearest one million? -423000000 What is -0.00034078 rounded to six decimal places? -0.000341 Round -0.00006096 to five dps. -0.00006 What is 81360000 rounded to the nearest one million? 81000000 Round -0.005961 to 4 dps. -0.006 Round 0.00000022558 to 7 decimal places. 0.0000002 What is 745 rounded to the nearest 100? 700 What is 39500 rounded to the nearest ten thousand? 40000 Round 0.04492 to 3 dps. 0.045 What is 8347.5 rounded to the nearest 10? 8350 Round 113900 to the nearest 1000. 114000 What is -0.00000413 rounded to five decimal places? 0 What is -0.003062 rounded to 4 decimal places? -0.0031 What is -148.78 rounded to 0 decimal places? -149 Round -0.00002271 to six dps. -0.000023 What is -0.02733 rounded to 3 decimal places? -0.027 Round 3441000 to the nearest one million. 3000000 Round -0.0002525 to 5 decimal places. -0.00025 What is -5.072 rounded to 1 decimal place? -5.1 What is 0.3323 rounded to two decimal places? 0.33 Round -0.1258 to two dps. -0.13 What is 0.00014183 rounded to 6 dps? 0.000142 Round -0.22226 to 3 decimal places. -0.222 What is 5442 rounded to the nearest one thousand? 5000 What is -32.157 rounded to the nearest ten? -30 Round -0.0022625 to 5 dps. -0.00226 What is -0.2611 rounded to 2 dps? -0.26 Round 0.00299 to 3 dps. 0.003 Round 2316000 to the nearest one million. 2000000 Round -0.00006012 to 5 dps. -0.00006 Round -0.37987 to 1 dp. -0.4 Round 4.491 to the nearest 10. 0 What is -0.00005227 rounded to six decimal places? -0.000052 What is 1785310 rounded to the nearest one hundred thousand? 1800000 Round -1517 to the nearest one hundred. -1500 Round 22523000 to the nearest one million. 23000000 Round 0.150852 to 3 dps. 0.151 Round 39196000 to the nearest one million. 39000000 What is -770000 rounded to the nearest 100000? -800000 Round 16.046 to the nearest integer. 16 What is 0.88 rounded to the nearest integer? 1 Round -1958000 to the nearest one hundred thousand. -2000000 What is -2.387 rounded to one decimal place? -2.4 What is 0.00000074137 rounded to seven decimal places? 0.0000007 What is -0.002512 rounded to four decimal places? -0.0025 Round -175547 to the nearest 1000. -176000 Round -468.4 to the nearest 10. -470 Round -793230 to the nearest 100000. -800000 What is 3.0311 rounded to 1 dp? 3 Round -0.3052 to 2 decimal places. -0.31 Round -0.4087 to 2 dps. -0.41 What is 22856000 rounded to the nearest 100000? 22900000 Round -0.00001253 to seven dps. -0.0000125 Round -144110 to the nearest 1000. -144000 Round 4506.5 to the nearest ten. 4510 What is -0.00017415 rounded to five decimal places? -0.00017 Round -6683400 to the nearest one millio
{ "pile_set_name": "DM Mathematics" }
when three letters picked without replacement from {t: 1, f: 3, y: 5, e: 4, a: 4, i: 1}. 1/408 What is prob of sequence uk when two letters picked without replacement from esbkeeebbkubbekskek? 5/342 Four letters picked without replacement from kkhmwwwwwsmwkahawwk. Give prob of sequence awkk. 2/969 Calculate prob of sequence nfwn when four letters picked without replacement from wgnnqfqnqw. 1/420 Two letters picked without replacement from {q: 2, b: 1, z: 1, f: 1, k: 2, a: 2}. Give prob of sequence kk. 1/36 Calculate prob of sequence wk when two letters picked without replacement from {f: 1, v: 3, k: 5, l: 2, w: 1}. 5/132 Two letters picked without replacement from fyfmfbbff. Give prob of sequence bm. 1/36 What is prob of sequence ooo when three letters picked without replacement from oooo? 1 What is prob of sequence ga when two letters picked without replacement from ggaaaaagaaaadaaaa? 39/272 Four letters picked without replacement from shrrsrrrs. Give prob of sequence rhss. 5/504 What is prob of sequence ggn when three letters picked without replacement from {n: 1, k: 2, t: 1, g: 2}? 1/60 Two letters picked without replacement from klku. What is prob of sequence kl? 1/6 Three letters picked without replacement from esoxcoessoox. Give prob of sequence ose. 1/55 Two letters picked without replacement from {h: 3, l: 2}. Give prob of sequence lh. 3/10 What is prob of sequence xl when two letters picked without replacement from {k: 2, x: 4, l: 3}? 1/6 Two letters picked without replacement from rggggrgrgrggrrjrgrgr. Give prob of sequence rr. 18/95 Two letters picked without replacement from memfhfcz. Give prob of sequence em. 1/28 What is prob of sequence vt when two letters picked without replacement from vvlnwtm? 1/21 What is prob of sequence jxj when three letters picked without replacement from {x: 2, j: 9}? 8/55 Two letters picked without replacement from {n: 2, r: 2, w: 1}. What is prob of sequence nr? 1/5 Three letters picked without replacement from {x: 2, k: 6, y: 2, i: 10}. What is prob of sequence ixy? 1/171 Three letters picked without replacement from {u: 6, b: 6, f: 3, m: 1, h: 1}. Give prob of sequence mhu. 1/680 What is prob of sequence epe when three letters picked without replacement from {o: 3, e: 12, p: 2}? 11/170 Four letters picked without replacement from yjhhyeewjdjy. What is prob of sequence yjje? 1/330 Two letters picked without replacement from ccccxcccxcccxxxcxxc. Give prob of sequence cc. 22/57 Calculate prob of sequence gc when two letters picked without replacement from {g: 4, p: 4, k: 4, c: 2}. 4/91 Three letters picked without replacement from xhhxxxnxxxfuxxxx. What is prob of sequence hxh? 11/1680 What is prob of sequence rr when two letters picked without replacement from iddrdiddrrririirrr? 28/153 What is prob of sequence dffd when four letters picked without replacement from dfdfdfffdd? 5/63 Three letters picked without replacement from {z: 1, e: 3, s: 2, a: 1, f: 6}. Give prob of sequence ffs. 5/143 Calculate prob of sequence hl when two letters picked without replacement from {g: 1, b: 3, l: 1, j: 6, h: 1}. 1/132 Two letters picked without replacement from {e: 1, u: 1, c: 11}. Give prob of sequence ue. 1/156 What is prob of sequence mqw when three letters picked without replacement from {q: 2, h: 1, w: 2, m: 2, e: 8}? 4/1365 Two letters picked without replacement from ubqubttuubbttbuc. Give prob of sequence bb. 1/12 Calculate prob of sequence xnxx when four letters picked without replacement from zzxxzzzxzzzxzzznxz. 1/1224 Two letters picked without replacement from qqwqww. Give prob of sequence wq. 3/10 Calculate prob of sequence www when three letters picked without replacement from {v: 3, w: 2}. 0 Four letters picked without replacement from wuwkaaaac. Give prob of sequence ukwa. 1/378 Two letters picked without replacement from {q: 1, f: 3, u: 2, o: 1}. Give prob of sequence qo. 1/42 Three letters picked without replacement from iiiijiiuuiriir. What is prob of sequence rrj? 1/1092 Four letters picked without replacement from qwtttktwt. Give prob of sequence qwtw. 5/1512 Three letters picked without replacement from eddeddlwhlldmewhdel. What is prob of sequence eee? 4/969 Two letters picked without replacement from {z: 2, i: 3}. What is prob of sequence iz? 3/10 Four letters picked without replacement from uuuuunuluuulnvnau. Give prob of sequence lnan. 1/4760 Three letters picked without replacement from qhisiiwsjsjw. What is prob of sequence wii? 1/110 Calculate prob of sequence zuu when three letters picked without replacement from zzzzzzzzzzzzuzzzuzzz. 1/190 Three letters picked without replacement from hhoohovujhj. Give prob of sequence vjo. 1/165 What is prob of sequence ooor when four letters picked without replacement from rrororrroro? 7/330 Three letters picked without replacement from {k: 2, j: 2, u: 2, e: 7, h: 2}. Give prob of sequence uke. 2/195 Two letters picked without replacement from ttttttt. What is prob of sequence tt? 1 Four letters picked without replacement from hehhrhiiiohi. Give prob of sequence eoir. 1/2970 What is prob of sequence ag when two letters picked without replacement from {g: 1, a: 11}? 1/12 Four letters picked without replacement from ssiiiiiiicooss. What is prob of sequence osoc? 1/3003 Two letters picked without replacement from {o: 9, b: 3}. What is prob of sequence oo? 6/11 Calculate prob of sequence plo when three letters picked without replacement from pyoolih. 1/105 Calculate prob of sequence soz when three letters picked without replacement from {o: 5, s: 1, z: 1, w: 2}. 5/504 Calculate prob of sequence bbb when three letters picked without replacement from yybyybybyvyyyyyy. 1/560 What is prob of sequence ww when two letters picked without replacement from {r: 7, w: 3}? 1/15 What is prob of sequence jjjj when four letters picked without replacement from jjjjjjj? 1 What is prob of sequence pcl when three letters picked without replacement from cemllcpcjclcclm? 4/455 Two letters picked without replacement from crccr. Give prob of sequence cr. 3/10 Two letters picked without replacement from {b: 4, e: 8, v: 6, c: 1, n: 1}. What is prob of sequence vc? 3/190 Calculate prob of sequence yyy when three letters picked without replacement from {y: 6, q: 12}. 5/204 Calculate prob of sequence vvvv when four letters picked without replacement from {v: 9}. 1 Two letters picked without replacement from zvecscseo. Give prob of sequence sv. 1/36 Two letters picked without replacement from {u: 2, p: 8}. Give prob of sequence pp. 28/45 Three letters picked without replacement from {h: 4, n: 5, a: 1}. What is prob of sequence nhh? 1/12 What is prob of sequence lqqs when four letters picked without replacement from {l: 1, q: 13, s: 1, x: 5}? 13/9690 Four letters picked without replacement from kzkzzzizkii. Give prob of sequence zizk. 1/44 Two letters picked without replacement from {g: 5, h: 2}. Give prob of sequence gh. 5/21 Three letters picked without replacement from jndmnnd. What is prob of sequence nnn? 1/35 What is prob of sequence rr when two letters picked without replacement from {o: 2, y: 1, r: 1}? 0 Four letters picked without replacement from {c: 1, e: 3, r: 13, t: 2}. Give prob of sequence etre. 13/7752 What is prob of sequence gg when two letters picked without replacement from {n: 12, g: 6}? 5/51 Two letters picked without replacement from {n: 3, u: 7}. What is prob of sequence nn? 1/15 Two letters picked without replacement from {w: 1, z: 2, u: 2}. What is prob of sequence uz? 1/5 Calculate prob of sequence yud when three letters picked without replacement from {d: 2, z: 2, u: 2, r: 8, y: 1, v: 2}. 1/1020 What is prob of sequence gg when two letters picked without replacement from gggoog? 2/5 Four letters picked without replacement from ppappppapappapap. What is prob of sequence papp? 165/1456 Calculate prob of sequence eeee when four letters picked without replacement from fpeeeumfuppweempefu. 5/1292 Calculate prob of sequence ns when two letters picked without replacement from ntwstttnht. 1/45 Four letters picked without replacement from hpppphh. Give prob of sequence hpph. 3/35 What is prob of sequence ns when two letters picked without replacement from {s
{ "pile_set_name": "DM Mathematics" }
- 6. Calculate d(4). 10 Let m(j) = -j**3 + 7*j**2 + j - 5. Give m(7). 2 Let u(x) = 6*x**3 - x**2 + 2*x. Give u(-2). -56 Let i(v) = 3*v**2 - 21. Determine i(5). 54 Let v(u) = -4*u**2 - 32*u + 38. Determine v(-10). -42 Let j(d) = -28*d**3 - d. What is j(1)? -29 Let h(s) = s**3 - 8*s**2 - 3*s + 9. Determine h(8). -15 Let b(r) = r**2 - 8*r + 4. What is b(6)? -8 Let w(x) = x**3 - 9*x**2 + x - 2. Determine w(9). 7 Let b(t) = 7*t**2 + t - 1. Determine b(1). 7 Let z(l) = 9*l + 3. Calculate z(-6). -51 Let h(r) = r**3 + 9*r**2 + 19*r + 75. Calculate h(-8). -13 Let q(d) = -d**2 + 2*d + 44. What is q(0)? 44 Let y(z) = z**3 + 7*z - 10. Calculate y(0). -10 Let h(c) = 25*c - 159. What is h(7)? 16 Let o(h) = h**3 - 3*h**2 - 6*h + 3. What is o(5)? 23 Let w(d) = -3*d - 24. Determine w(-14). 18 Let w(i) = -i - 7. Give w(-11). 4 Let i(t) = -t**3 - 8*t**2 + 5*t - 23. Determine i(-9). 13 Let m(l) = 6*l**2 - 29*l - 3. Give m(5). 2 Let m(b) = 28*b**3 - 5*b**2 - 2*b + 2. What is m(-1)? -29 Let j(m) = m**2 - 10*m. Give j(8). -16 Let l(k) = k**2 + 4*k + 2. Give l(-5). 7 Let s(t) = 5*t + 49. Give s(-11). -6 Let f(y) = 3*y**2 + 6*y - 16. Calculate f(2). 8 Let n(i) = i**2 - 18*i + 16. What is n(17)? -1 Let t(i) = -26*i**3 + 2*i**2 - 1. Give t(-1). 27 Let q(h) = -3*h + 73. Calculate q(26). -5 Let i(z) = z**3 - 14*z**2 - 16*z + 7. Calculate i(15). -8 Let t(m) = 17*m + 7. Determine t(5). 92 Let a(t) = t**3 - 5*t**2 - 6*t + 20. Calculate a(5). -10 Let a(s) = 4*s - 5. Determine a(-5). -25 Let v(b) = 8*b - 42. Calculate v(5). -2 Let q(d) = -d**2 + 20*d - 9. Calculate q(12). 87 Let i(v) = -17*v**3 - 2*v**2 + 1. Calculate i(-1). 16 Let i(o) = 4*o**3 - o**2 + 4*o + 5. What is i(-2)? -39 Let w(u) = -u**2 - u + 3. Determine w(4). -17 Let y(r) = -r**2 + 7*r - 12. Calculate y(6). -6 Let a(g) = g. Give a(9). 9 Let q(p) = 4*p + 49. Give q(-10). 9 Let l(d) = -d**2 + 17*d + 12. Determine l(17). 12 Let q(k) = k**2 + 3*k - 10. Calculate q(-8). 30 Let f(s) = 15*s + 7. Give f(-1). -8 Let h(n) = n**3 + n**2 - n + 15. Determine h(0). 15 Let z(u) = -5*u - 4. Calculate z(3). -19 Let g(n) = -n**3 - 10*n**2 + 11*n + 2. Give g(-11). 2 Let s(u) = -u**3 + 8*u**2 + 3*u - 5. Give s(9). -59 Let w(r) = r**2 - 4*r - 6. Calculate w(5). -1 Let c(s) = s**3 + 12*s**2 + 17*s - 33. What is c(-10)? -3 Let w(c) = -c**3 + 4*c**2 + 6*c - 2. Give w(4). 22 Let a(i) = -2*i**2 - 21*i - 74. What is a(-7)? -25 Let x(j) = -j**2 - 18*j - 20. What is x(-17)? -3 Let f(x) = x**2 + 12*x - 14. Determine f(-11). -25 Let i(c) = c**2 + 14*c + 5. What is i(-13)? -8 Let x(w) = w + 46. Calculate x(6). 52 Let y(b) = -2*b - 18. Determine y(-12). 6 Let a(v) = 2*v**2 - 3*v - 23. Calculate a(5). 12 Let l(w) = -7*w + 255. Give l(33). 24 Let x(r) = -7*r - 1. Calculate x(1). -8 Let m(q) = 12*q + 40. What is m(0)? 40 Let t(x) = x**3 + 5*x**2 + 2*x + 5. What is t(-5)? -5 Let s(z) = z - 3. What is s(9)? 6 Let p(k) = 3*k - 11. Determine p(5). 4 Let j(t) = t**3 + 8*t**2 + 4*t + 1. Determine j(-8). -31 Let g(x) = -5*x + 23. Calculate g(6). -7 Let p(u) = -u**2 + u + 32. Determine p(6). 2 Let u(m) = m**3 + 11*m**2 + 10*m - 1. Calculate u(-10). -1 Let c(a) = -a**3 - 9*a**2 - 4*a + 4. Give c(-8). -28 Let w(m) = m. Give w(7). 7 Let h(l) = l**2 + 6*l - 5. What is h(-7)? 2 Let y(j) = j**3 + 8*j**2 + 2*j - 3. What is y(-7)? 32 Let m(p) = p**3 - p**2 + p + 24. What is m(0)? 24 Let w(h) = h**3 - 10*h**2 + 13*h + 9. Determine w(10). 139 Let d(g) = -g**2 - 26*g + 91. Calculate d(-29). 4 Let g(p) = -p**2 + 20*p - 4. Give g(14). 80 Let j(q) = -10*q + 143. Calculate j(14). 3 Let a(z) = -10*z - 7. Determine a(-5). 43 Let v(l) = 21*l**2 + 4*l - 6. What is v(2)? 86 Let l(m) = -m**2 + 2*m + 1. Determine l(5). -14 Let y(t) = -6*t**2 + t - 1. Determine y(2). -23 Let h(p) = 5*p**2 + 2*p - 2. Determine h(1). 5 Let r(i) = 2*i**2 - 10*i - 13. Calculate r(6). -1 Let o(i) = i**3 + 23*i**2 + 24*i + 50. Determine o(-22). 6 Let i(z) = -3*z - 5. Determine i(-3). 4 Let u(w) = w**3 - 11*w**2 + 2*w. Calculate u(5). -140 Let u(l) = -l**3 - l**2 + 10. Calculate u(0). 10 Let p(k) = 5*k + 13. Calculate p(-3). -2 Let f(b) = -b**2 - 16*b + 13. What is f(-17)? -4 Let j(u) = u**3 + 6*u**2 + 4*u + 2. What is j(-2)? 10 Let h(k) = k**3 + 5*k**2 - 2*k - 2. Give h(-5). 8 Let q(a) = a**3 + 11*a**2 - 27*a - 10. Determine q(-13). 3 Let h(v) = 10*v + 54. Give h(-5). 4 Let g(m) = -5*m - 18. What is g(18)? -108 Let q(p) = -p**3 + 5*p**2 + 3*p. Give q(5). 15 Let n(y) = -y**2 + 4*y + 1. Calculate n(4). 1 Let f(k) = k**2 + 13*k + 1. Determine f(-12). -11 Let r(s) = -s**2 - 22*s - 24. What is r(-24)? -72 Let x(k) = -k**2 + 7. What is x(0)? 7 Let k(y) = -y**2 + 23*y - 71. Determine k(19). 5 Let u(r) = -r**2 - 7*r + 172. Give u(-16). 28 Let d(i) = i**2 - 2*i - 6. Determine d(5). 9 Let m(s) = 4*s**2 + 29*s + 1. Give m(-7). -6 Let w(q) = -q**3 - 4*q**2 - 10*q - 22. Determine w(-4). 18 Let i(f) = f**2 - 2*f + 3. Calculate i(5). 18 Let t(g) = -g - 1. Determine t(5). -6 Let g(k) = -21*k + 3. Give g(-1). 24 Let a(u) = u - 19. Determine a(22). 3 Let q(m) = m**3 - 3*m**2 - 3*m + 17. Give q(0). 17 Let f(q) = q**2 - 7*q - 10. Determine f(8). -2 Let i(h) = -h**2 + h + 6. What is i(-3)? -6 Let j(i) = 27*i**2 - 487*i + 27. Calculate j(18). 9 Let h(r) = -r**2 - 9*r - 13. What is h(-9)? -13 Let o(i) = -i**3 + 19*i**2 + 22*i - 37. What is o(20)? 3 Let y(z) = 32*z**2 + 2*z + 1. What is y(-1)? 31 Let u(i) = 6*i**2 + 13*i + 4. Give u(-3). 19 Let x(g) = 24*g**2 - 2*g. Give x(-1). 26 Let o(f) = f**2 + f - 8. What is o(2)? -2 Let s(a) = -a**2 + 3*a - 4. Calculate s(-5). -44 Let i(c) = 3*c + 20. Determine i(11). 53 Let v(h) = -h**3 + 13*h**2 - 38*h - 7. Determine v(6). 17 Let s(h) = h**2 - 4*h + 7. What is s(6)? 19 Let z(o) = -8*o + 60. Calculate z(12). -36 Let k(m) = -m**3 - 5*m**2 - 8*m - 32. Give k(-3). -26 Let s(h) = h**2 - 7*h - 2. Determine s(6). -8 Let t(l) = -l**3 + 6*l**2 + 27*l - 1. Determine t(-3). -1 Let g(z) = 2*z**2 - 3*z - 7. Give g(3). 2 Let n(k) = k**2 - 27*k + 39. What is n(25)? -11 Let s(j) = 16*j**2 + 1. Determine s(-1). 17 Let u(a) = -2*a**2 + 6*a - 4. Calculate u(4). -12 Let a(z) = -z**3 - 2*z**2 - 3. Give a(-3). 6 Let r(m) = -3*m + 13. Determine r(9). -14 Let x(w) = -w**3 + 12*w**2 - 21*w - 8. Determine x(10). -18 Let m(d) = -2*d**3 + 23*d**2 - 17*d + 73. Give m(11). 7 Let h(a) = 13*a - 37. Calculate h(4). 15 Let a(d) = -20*d**2 - 3*d - 4. Determine a(-1). -21 Let f(d) = -2*d**3 - 3*d**2 - d + 2. Calculate f(1). -4 Let p(w) = w**3 + 11*w**2 + 23*w + 23. Calculate p(-10). -107 Let u(r) = r**2 - 18*r + 45. Calculate u(13). -20 Let z(t) = t + 2. Give z(-13). -11 Let o(y) = -6*y + 4. What is o(2)? -8 Let j(k) = -2*k**2 - 33*k - 114. What is j(-6)? 12 Let x(u) = -3*u. Determine x(2). -6 Let f(n) = n**3 - 28*n**2 + 30*n - 76. Calculate f(27). 5 Let k(b) = -b**2 + 2*b + 2. Calculate k(-4). -22 Let v(u) = 33*u + 9. Determine v(-2). -57 Let j(h) = 6*h - 3. Determine j(3). 15 Let m(g) = -g**3 - g**2 - g + 27. What is m(0)? 27 Let n(r) = 4*r**2 - 32*r + 31. Calculate n(1). 3 Let p(k) = -k**2 + k - 8. What is p(0)? -8 Let x(o) = -o + 14. What is x(6)? 8 Let r(u) = -u**3 - 9*u**2 + 20*u - 8. Give r(-11). 14 Let v(o) = -o**3 - 7*o**2 - 8*o. What is v(-5)? -10 Let n(f) = f**3 - 29*f + 8. Determine n(5). -12 Let i(k) = k**3 + 26*k**2 - 86*k - 4. Determine i(3). -1 Let i(w) = -w**3 - 12*w**2 + 33*w + 64. Give i(-14). -6 Let m(t) = 6*t + 124. Calculate m(-23). -14 Let d(p) = 8*p + 13. Determine d(-7). -43 Let g(v) = v**2 - 24*v - 6. Give g(24). -6 Let l(v) = v**2 + 21*v - 20. What is l(-21)? -20 Let m(w) = -3*w - 7. Determine m(6). -25 Let x(v) = -5*v - 6. What is x(-7)? 29 Let v(h) = -4*h - 37. Determine v(-7). -9 Let b(s) = -36*s - 364. What is b(-10)? -4 Let j(x) = 2*x + 57. Give j(-14). 29 Let g(q) = -q**3 + q**2 + 2*q. What is g(2)? 0 Let v(h) = -h**3 + h**2 + 9*h - 13. Determine v(3). -4 Let j(r) = 10*r**2 + 34*r - 9. Determine j(-4). 15 Let f(t) = -t**3 - 9*t**2 - 4. Calculate f(-9). -4 Let i(v) = -v**2 - 7*v - 5. What is i(-7)? -5 Let k(w) = -4*w - 17. Give k(9). -53 Let g(m) = m**2 - 5. What is g(-4)? 11 Let c(p) = p**3 + p**2 - p - 22. Give c(0). -22 Let g(a) = 6*a + 346. Calculate g(-53). 28 Let p(u) = 15*u + 293. Calculate p(-17). 38 Let t(a) = 13*a - 16. Determine t(2). 10 Let d(r) = -15*r**2 + r - 1. Calc
{ "pile_set_name": "DM Mathematics" }
0. 2, 5, 11399, 36241 What are the prime factors of 35201579? 7, 571, 8807 List the prime factors of 92816159. 19, 641, 7621 List the prime factors of 1066371440. 2, 5, 97, 131, 1049 What are the prime factors of 6704803? 7, 179, 5351 List the prime factors of 1018266641. 7, 31, 4692473 List the prime factors of 273859107. 3, 91286369 List the prime factors of 663742136. 2, 82967767 List the prime factors of 313753894. 2, 41, 1607, 2381 What are the prime factors of 910266910? 2, 5, 7, 179, 72647 What are the prime factors of 2266182717? 3, 755394239 What are the prime factors of 24186670? 2, 5, 47, 51461 List the prime factors of 2942605922. 2, 17, 5501, 15733 List the prime factors of 619554973. 37, 16744729 What are the prime factors of 59123638? 2, 7, 4223117 What are the prime factors of 76619968? 2, 1197187 List the prime factors of 875592526. 2, 151, 2899313 List the prime factors of 9801389. 13, 109, 6917 List the prime factors of 468640022. 2, 293, 799727 What are the prime factors of 60548072? 2, 13, 577, 1009 List the prime factors of 22207093. 127, 174859 What are the prime factors of 572434902? 2, 3, 13, 23, 31, 47, 73 List the prime factors of 1072488596. 2, 268122149 List the prime factors of 34695363. 3, 59, 211, 929 List the prime factors of 53970294. 2, 3, 7, 863, 1489 What are the prime factors of 70398015? 3, 5, 157, 167, 179 What are the prime factors of 1976267313? 3, 151, 1454207 What are the prime factors of 141320954? 2, 241, 449, 653 What are the prime factors of 77393564? 2, 19348391 What are the prime factors of 3416210766? 2, 3, 43, 373, 11833 List the prime factors of 644704709. 11, 233, 251543 List the prime factors of 239413897. 131, 263, 6949 What are the prime factors of 1877925925? 5, 75117037 List the prime factors of 2137284965. 5, 17, 809, 31081 List the prime factors of 5349145. 5, 641, 1669 List the prime factors of 356588697. 3, 199, 597301 What are the prime factors of 298310399? 79, 3776081 List the prime factors of 664602094. 2, 13, 757, 33767 What are the prime factors of 427975948? 2, 181, 591127 List the prime factors of 7924684. 2, 1279, 1549 What are the prime factors of 88657393? 11, 53, 241, 631 What are the prime factors of 732359416? 2, 4357, 21011 What are the prime factors of 286776390? 2, 3, 5, 9559213 What are the prime factors of 118887168? 2, 3, 283, 547 What are the prime factors of 3554399371? 7193, 494147 What are the prime factors of 367531281? 3, 13, 1289, 2437 List the prime factors of 37584594. 2, 3, 457, 1523 List the prime factors of 119651391. 3, 4431533 What are the prime factors of 571733672? 2, 71466709 List the prime factors of 336451451. 7, 463, 103811 List the prime factors of 20879227. 20879227 List the prime factors of 541476054. 2, 3, 7, 4297429 List the prime factors of 2104209285. 3, 5, 140280619 What are the prime factors of 9037028? 2, 7, 11, 13, 37, 61 List the prime factors of 1394752158. 2, 3, 29, 2671939 List the prime factors of 24591497. 7, 3513071 List the prime factors of 55779201. 3, 6197689 List the prime factors of 52778932. 2, 47, 383, 733 What are the prime factors of 232984691? 232984691 What are the prime factors of 3655475331? 3, 59, 20652403 What are the prime factors of 326452614? 2, 3, 467, 116507 What are the prime factors of 2177040037? 2177040037 List the prime factors of 33052630. 2, 5, 13, 71, 3581 List the prime factors of 2219640075. 3, 5, 281, 35107 What are the prime factors of 6194365770? 2, 3, 5, 206478859 List the prime factors of 82420134. 2, 3, 31, 347, 1277 What are the prime factors of 54124061? 54124061 List the prime factors of 193116384. 2, 3, 670543 List the prime factors of 267604084. 2, 11, 659, 839 List the prime factors of 1126413. 3, 41719 What are the prime factors of 98407661? 11, 8946151 List the prime factors of 600104182. 2, 17, 17650123 List the prime factors of 33181. 33181 List the prime factors of 64952340. 2, 3, 5, 449, 2411 What are the prime factors of 752978398? 2, 19, 211, 93911 What are the prime factors of 2697698558? 2, 1348849279 List the prime factors of 138579376. 2, 13, 17, 39191 List the prime factors of 293870986. 2, 19, 7733447 List the prime factors of 1209377084. 2, 31, 9753041 What are the prime factors of 408134562? 2, 3, 11, 6183857 List the prime factors of 1850365251. 3, 7, 29370877 What are the prime factors of 111581210? 2, 5, 13, 858317 List the prime factors of 926460649. 37, 25039477 List the prime factors of 33055057. 7, 73, 9241 List the prime factors of 1101590642. 2, 31, 17767591 What are the prime factors of 1061046492? 2, 3, 11, 139, 57829 What are the prime factors of 182135167? 29, 6280523 What are the prime factors of 39623649? 3, 13, 1015991 List the prime factors of 524283220. 2, 5, 26214161 List the prime factors of 2510286742. 2, 17, 73831963 List the prime factors of 383710782. 2, 3, 7, 13, 54059 List the prime factors of 11396652. 2, 3, 29, 32749 What are the prime factors of 164946080? 2, 5, 13, 79301 What are the prime factors of 2918557144? 2, 17, 21459979 What are the prime factors of 2771021? 11, 22901 What are the prime factors of 423515234? 2, 211757617 What are the prime factors of 26823903? 3, 8941301 What are the prime factors of 652441010? 2, 5, 13, 71, 70687 List the prime factors of 30777151. 23, 47, 71, 401 List the prime factors of 802919214. 2, 3, 17, 19, 138101 List the prime factors of 5535425822. 2, 2293, 1207027 What are the prime factors of 51530618? 2, 31, 831139 List the prime factors of 30839668. 2, 31, 248707 List the prime factors of 4507633. 13, 269, 1289 List the prime factors of 2730713. 2730713 List the prime factors of 7905904542. 2, 3, 29, 15145411 List the prime factors of 1185495576. 2, 3, 19, 1103, 2357 List the prime factors of 529526810. 2, 5, 31, 937, 1823 List the prime factors of 40970634. 2, 3, 67, 101917 List the prime factors of 3033280940. 2, 5, 23, 107, 61627 What are the prime factors of 3272827290? 2, 3, 5, 109094243 What are the prime factors of 1453205708? 2, 523, 694649 List the prime factors of 348336056. 2, 37, 1176811 List the prime factors of 145355850. 2, 3, 5, 107671 List the prime factors of 660330695. 5, 709, 186271 List the prime factors of 699865008. 2, 3, 14580521 List the prime factors of 1559801652. 2, 3, 129983471 What are the prime factors of 77665581? 3, 7, 410929 List the prime factors of 8001205. 5, 1600241 What are the prime factors of 1253115381? 3, 7, 59672161 List the prime factors of 536662688. 2, 16770709 List the prime factors of 125777023. 37, 67, 113, 449 What are the prime factors of 2697271411? 29, 93009359 What are the prime factors of 1013302544? 2, 17, 883, 4219 List the prime factors of 314170231. 47, 6684473 List the prime factors of 202341555. 3, 5, 13, 29, 11927 List the prime factors of 427661744. 2, 26728859 What are the prime factors of 53975584? 2, 13, 129749 What are the prime factors of 960988527? 3, 53, 2014651 List the prime factors of 1709916266. 2, 197, 4339889 List the prime factors of 260201134. 2, 130100567 List the prime factors of 27284793. 3, 1871, 4861 What are the prime factors of 226893134? 2, 13, 223, 39133 List the prime factors of 25259709. 3, 673, 12511 List the prime factors of 599119839. 3, 41, 1623631 List the prime factors of 70773740. 2, 5, 3538687 What are the prime factors of 26925688? 2, 17, 29, 6827 What are the prime factors of 4098431087? 163, 1373, 18313 What are the prime factors of 258373676? 2, 11, 577, 10177 What are the prime factors of 885869720? 2, 5, 22146743 What are the prime factors of 1000374279? 3, 333458093 List the prime factors of 3032165. 5, 606433 What are the prime factors of 36196707? 3, 199, 60631 What are the prime factors of 562118365? 5, 112423673 List the prime factors of 8144358. 2, 3, 563, 2411 What are the prime factors of 1070288875? 5, 8562311 What are the prime factors of 146208956? 2, 3697, 9887 List the prime factors of 97304243. 17, 5723779 What are the prime factors of 61844795? 5, 1669, 7411 What are the prime factors of 269396969? 179, 1505011 List the prime factors of 63476700. 2, 3, 5, 7, 167, 181 List the prime factors of 2021984706. 2, 3, 7, 353, 19483 List the prime factors of 542709000. 2, 3, 5, 47, 1283
{ "pile_set_name": "DM Mathematics" }
+ 1446 = 5*p + 3*a. What is the hundreds digit of p? 2 Let u(h) = -10*h + 76. Let b be u(7). Suppose 327 = b*g + 27. What is the units digit of g? 0 Let k = -3471 + 14476. What is the ten thousands digit of k? 1 Let w be (-802)/(-5) + (-64)/160. Suppose 4*n - w - 1000 = 0. What is the tens digit of n? 9 Suppose -2*d - 3*z = z - 28, -3*d + z + 7 = 0. Suppose -p + d = 5*q - 209, 0 = 2*p - 5*q - 501. What is the hundreds digit of p? 2 What is the thousands digit of -1 + 50102 - ((-12)/18 - (-68)/(-51))? 0 Suppose -34*l - 29856 = -69880 - 122802. What is the thousands digit of l? 4 Let n = 251 - -378. Let j be n/3 - (-3 - (-33)/9). Suppose 4*u - j = 3*z, -u + 81 = 2*z + 3*z. What is the tens digit of u? 5 Let d = 7564 + -5059. What is the units digit of d? 5 Let c be (10*2/(-8))/(7/(-14)). Suppose -3*a + 2564 = -4*v, -2*a + c*v + 1305 = -409. What is the tens digit of a? 5 Let j(x) = 2353*x + 973. What is the units digit of j(15)? 8 Let g(p) = -p**2 - 17*p - 107. Let o(d) = -2*d + 1. Let i(j) = g(j) + 6*o(j). What is the units digit of i(-23)? 7 Let x = 2309 - 2315. Let l(a) = -7*a - 24. Let d(k) = 13*k + 47. Let q(n) = 3*d(n) + 7*l(n). What is the units digit of q(x)? 3 What is the thousands digit of 9362940/204 + (-100)/(-425)? 5 Let d = 48972 - 655. What is the ten thousands digit of d? 4 Let i(r) = -5*r + 38. Let y be i(10). Let a = -13 - y. What is the tens digit of (a + 0)/(((-10)/138)/5)? 6 Suppose -n - l - 2127 = -37513, -n = -l - 35396. What is the ten thousands digit of n? 3 Let h = -22084 + 35238. What is the hundreds digit of h? 1 Suppose 0 = -5*z - 6*t + 11*t + 250, z - 5*t = 58. Suppose z*j - 54*j + 2502 = 0. What is the tens digit of j? 1 Suppose 20*m = 17*m - 183. Let r be (0 - m) + (-3)/(6 + -3). Suppose -5*s + 2*w = -r, 0*w + 10 = 2*w. What is the units digit of s? 4 Let h(r) = -33*r - 93. Let l(t) = 8*t + 23. Let j(p) = -4*h(p) - 18*l(p). What is the tens digit of j(-25)? 5 Let l(k) = -k + 36. Let j be l(-25). Suppose -47*v - 22610 = -j*v. What is the tens digit of v? 1 Let h = 1297 - 102. What is the tens digit of h? 9 Suppose 16 = -4*o + 20*o. What is the units digit of 16 - 5 - (o - (-4)/2)? 8 Let c = 90 + -81. Suppose c*m - 29 = 7. Suppose -114 = -m*z + 2*z. What is the units digit of z? 7 Suppose -59 = 2*t + 21. Let u = t + 44. What is the tens digit of -34*3/u*28/(-6)? 1 Let t(x) = x**3 + 23*x**2 + 29*x - 56. Suppose -4*s - 2*k - 2*k = 88, s + 5*k + 34 = 0. What is the hundreds digit of t(s)? 8 Let f(s) = -7*s**3 - 69*s**2 + 82*s + 1562. What is the ten thousands digit of f(-22)? 4 What is the units digit of -42646*(7 - -11)/(-36)? 3 Let x(j) = 116*j**2 - 2*j - 9. What is the hundreds digit of x(6)? 1 Suppose -17*p = -12*p - o - 14616, -4*o = 4. What is the tens digit of p? 2 Let o(w) = -w**3 + 17*w**2 + 15*w + 26. Let l be o(12). Suppose l = r - 2*r. What is the tens digit of 2/((-12)/r) + (-26)/(-39)? 5 Suppose -11*z = -3*z + 16. Let m be 7 + (3/z)/(9/12). What is the tens digit of (10/m - 3) + 67? 6 Let g = -45 - -52. Suppose 75 = g*p - 800. What is the tens digit of p? 2 What is the tens digit of (1818/15)/((-71)/(-2130))? 3 Let a(j) = -j**3 + 20*j**2 - 20*j - 55. Let z(f) = 3*f + 42. Let t(i) = i - 1. Let c be t(-7). Let s be z(c). What is the units digit of a(s)? 3 Let o = -22 + 22. Suppose -16*h + 6155 + 1669 = o. What is the units digit of h? 9 Let g(m) = m**2 - m. Let f(c) = c**2 + 3*c - 5. Let o(u) = f(u) + 2*g(u). What is the tens digit of o(-12)? 1 Let c be 120/36*3/2. Suppose -4*d - o + 448 = 0, -c*o - 24 = -d + 67. Suppose 9*s - d = 555. What is the tens digit of s? 7 Suppose 2*c + 3*c - 20 = 0. Suppose 0 = 4*m + 4, -c*y - 14 = 2*m. What is the units digit of (14/y)/(2*3/(-126))? 8 Let t(r) = -6*r + 101. Let b be t(16). Suppose b*y + 1212 = 11*y. What is the units digit of y? 2 Let v(g) = 6*g - 157. Let m be v(27). What is the thousands digit of 5420/(m + 0) - 2? 1 Suppose 315252 = 62*d + 72398. What is the tens digit of d? 1 Let u(d) = -9925*d - 3846. What is the hundreds digit of u(-2)? 0 Let d(v) = -8*v**3 - 47*v**2 - 13*v - 149. What is the hundreds digit of d(-17)? 7 Let v(x) = x**2 - 3*x - 21. Let c be v(7). What is the tens digit of (12 - -2)/98 + 4654/c? 6 Suppose 0 = 6*f - 9*f + 6. Suppose f*q + 11 - 9 = 0. What is the units digit of -3*(1 - 0) + (11 - q)? 9 What is the thousands digit of (-6500744)/(-88) - (10 - (-1417)/(-143))? 3 Let m(h) = h**2 + 8*h - 15. Let a be m(-10). Suppose 0 = 2*z - 2*f + 4 - 34, 0 = z + a*f + 15. Suppose -z*x - 126 = -12*x. What is the units digit of x? 3 Let h = 357 + -346. Suppose -h*p - 1074 = -17*p. What is the tens digit of p? 7 Let z be 2 - (2 + (-3 - 0)). What is the tens digit of (z - 1) + -3 + 4 - -583? 8 Suppose -4*s - 8 = -0. Let b be ((-100)/(-10))/(1 + s). Let y = 50 - b. What is the units digit of y? 0 Let a = -1676 - -13079. What is the tens digit of a? 0 Let b(z) = -z**3 - 6*z**2 + 73*z - 4. Let n be b(6). Suppose -382 = -n*l + 1024. What is the units digit of l? 3 What is the hundreds digit of -9*(-18)/(-81) + 4253? 2 Let r = 15000 - 6787. What is the hundreds digit of r? 2 Let i be (18/(-45))/(2 + (-27)/15). What is the units digit of 4/i + (-14 - -1) + 657? 2 Let a(d) = -2*d**3 - 19*d**2 + 6*d + 25. Let i be a(-10). Let p = 512 - i. What is the tens digit of p? 4 Let l = -8525 + 19339. What is the tens digit of l? 1 Suppose -8*r - 6*r = -0*r. Let a(m) = 39 - 36*m + 34 + 9 + 37*m. What is the tens digit of a(r)? 8 Suppose -1873 + 12633 = 10*i. Suppose -4*z + i = -1952. What is the units digit of z? 7 Suppose 41*s - 33*s + 32 = 0. What is the hundreds digit of (0/s)/1 - -395? 3 Suppose -24*p + 9*p + 2730 = 0. Let x = -72 + p. What is the hundreds digit of x? 1 Suppose 8*f + f = 1017. Let b = 12 - f. What is the tens digit of b/(-6) - 10/(-60)? 1 Let v = -3342 + 3711. What is the tens digit of v? 6 Let r(x) = 1293*x + 1223. What is the units digit of r(18)? 7 Let j be 1*72*(-8)/12. Let r be 3/(-18) - 9896/j. Let f = 377 - r. What is the hundreds digit of f? 1 Suppose 2*j = -6*s + 4*s + 76, 0 = -s + 3*j + 22. Let a = s - 30. Suppose 10*b - 54 = a*b. What is the units digit of b? 9 Suppose -8921 - 12913 = -2*l - 2*m, 3*m = 5*l - 54633. What is the ten thousands digit of l? 1 Let m = -190 + 358. Let o = m + -87. Suppose 2*p - o = p. What is the units digit of p? 1 Let d be (-19)/((-114)/6780) - 7. Let j = d + -689. What is the tens digit of j? 3 Let a(g) = 5*g**2 - 22*g - 425. What is the thousands digit of a(-38)? 7 Suppose 0 = h + 650*d - 652*d - 6451, -5*d + 6423 = h. What is the thousands digit of h? 6 Let o be (-2289)/(-147) + 4/(-7). Let h be (-8)/10*o/(-6). Suppose 3*y = -h*y + 60. What is the tens digit of y? 1 Let l be (2/(-5))/(((-2)/1)/20). Suppose g + 11 = -0*g + 3*f, 21 = l*g + f. Suppose -216 - 152 = -g*n. What is the units digit of n? 2 Let w be (2/(-6))/((-4)/540). Let a = 426 - w. What is the hundreds digit of a? 3 Let i(o) = -135*o - 50. Let k be i(16). Let x be (-46)/(-23)*k/(-4). Suppose 7*p - x = -139. What is the units digit of p? 8 Let y(o) = -o**2 - 37*o + 88. Let z be -22 + (3 + -3 - -2). What is the tens digit of y(z)? 2 Let w = -96 - -271. Let k = w + 1124. What is the thousands digit of k? 1 Let c be (-203)/(-42) - (-4)/24. Let n(o) = 2*o**2 + 5*o - 53. What is the tens digit of n(c)? 2 Suppose 2*i = -8, -2*m + 0*i - 2*i = -53114. Suppose -28*u + m = -30475. What is the thousands digit of u? 2 Suppose -12*k = -29 - 79. Suppose -k*t = 2*t - 44. Suppose -t*s = 6*u - u - 175, 185 = 5*s - 5*u. What is the units digit of s? 0 What is the thousands digit of 9546 - (-6 - 54)/(-10)? 9 Suppose -259864 - 569279 = -36*y - 59607. What is the hundreds digit of y? 3 Suppose -3*s + 3639 = n + 962, 3*n - s - 8081 = 0. Suppose 17*i + n = 21*i. What is the tens digit of i? 7 Suppose 2*q = 4*m - 4, -q = -0*m + 4*m - 10. Suppose 0 = -3*l - q*s + 170 + 1673, 2*l - 1222 = 2*s. What is the tens digit of l? 1 Let b be (-6923)/(-1449) + 4/18. Let o(y) = -y**2 + y - 9. Let r(i) = -2*i**2 - 9. Let n(q) = 3*o(q) - 2*r(q). What is the units digit of n(b)? 1 Suppose 0 = -l + 73 - 86. What is the hundreds digit of (l/(-3))/(-4 + 1015/252)? 1 Let b = -30 - -34. Suppose -b*r = 606 - 66. What is the hundreds digit of 30/(-4)*9/(r/204)? 1 Let u be 84/(-10)*(-2
{ "pile_set_name": "DM Mathematics" }
test common divisor of 30 and n? 10 Suppose 463 = 4*m - o, -m - 2*o + 6*o + 97 = 0. What is the highest common factor of 13 and m? 13 Suppose -21*k + 108 = -459. What is the greatest common factor of 36 and k? 9 Let i(a) = -271*a + 62. Let o be i(-1). Calculate the greatest common factor of 74 and o. 37 Let v(n) = 4*n**3 + 16*n**2 - n - 16*n**3 - 1 + 9*n**3. Let q be v(5). Calculate the highest common factor of q and 19. 19 Suppose -36 + 14 = -2*k. Let d be (0 + 0 + 1)*4. Let q = d - 3. Calculate the highest common factor of k and q. 1 Suppose 75*a + 3690 = 84*a. What is the greatest common divisor of 20 and a? 10 Suppose 1 = 3*f - 2*f. Calculate the highest common factor of 19 and f. 1 Let s(n) = -59*n + 25. Let i be s(0). Calculate the greatest common factor of i and 50. 25 Let p(z) be the second derivative of -z**4/6 + 8*z**3 - 19*z**2/2 - 17*z. Let s be p(23). What is the greatest common divisor of 54 and s? 27 Let w = -321 + 325. Calculate the highest common divisor of 28 and w. 4 Let m = -6 + -15. Let z = m + 23. Suppose -z*y + 18 = 2. What is the greatest common divisor of 40 and y? 8 Let l = -33 + 305. Calculate the greatest common divisor of 170 and l. 34 Suppose -j - 18 = -2*y, 0 = 5*y - 4*j - 28 - 20. Calculate the highest common divisor of y and 248. 8 Let d = -14 + 26. Let f be (-9)/72 - 10370/(-16). Let n be f/189 + 3/(-7). Calculate the greatest common divisor of d and n. 3 Let q = 56 - -43. Calculate the greatest common divisor of 72 and q. 9 Suppose 5 = x - 0*x. Suppose x = -3*u + 20. Calculate the highest common factor of u and 45. 5 Suppose 8 - 29 = -4*o + g, -g - 9 = -o. Suppose -9*c + 61 = -11. Suppose 3*r = o*r - c. What is the highest common factor of 8 and r? 8 Let d be (12/10)/(15/7250*10). What is the greatest common divisor of 203 and d? 29 Suppose 0 = -4*b + 4*t + 16, -b + 8 = t - 0*t. Suppose -5*a - q + 37 = 0, -2*a = -7*q + 3*q - b. What is the greatest common divisor of a and 56? 7 Let h = 71 - 68. What is the greatest common divisor of 11 and h? 1 Let z = 337 + -33. What is the greatest common factor of 19 and z? 19 Let b(m) = 2*m**2 + 8*m + 4. Let o be b(-5). Let h be (1/(-2))/((o/24)/(-7)). What is the greatest common divisor of 3 and h? 3 Suppose 114 = 406*c - 403*c. Suppose -c*s = -35*s - 180. Calculate the highest common factor of 48 and s. 12 Suppose -4*y + 20 = 4*o, -2 = 2*o - 5*y - 5. Suppose -5*q + 2*q = -o*t + 45, 0 = -3*t - q + 37. What is the highest common factor of 156 and t? 12 Let t(s) = -7*s - 1. Let b be t(-2). Let z = -60 - -54. Let d be 0 - 0 - -28 - (-12)/z. Calculate the highest common divisor of b and d. 13 Suppose 4*q - 84 = 3*q. Let a = -34 + q. Suppose 5*w = -0*w + a. Calculate the greatest common divisor of w and 90. 10 Suppose -2*k - 3*y = -91, -4*k + 3*y + 15 + 158 = 0. Suppose -4*c + 3*g = -k - 61, 0 = 3*c - g - 80. What is the greatest common divisor of c and 3? 3 Let a = -336 - -674. Calculate the greatest common divisor of a and 221. 13 Let y(j) = -15*j**2 + 36*j**3 + 11 + 26*j + 1 - 35*j**3. Let l be y(13). Calculate the greatest common factor of l and 36. 12 Suppose 4*w + 4*k = 552, 0 = -13*k + 8*k - 10. What is the highest common factor of 50 and w? 10 Let y be ((-12)/(-10))/((-2)/(-60)). Suppose 8*d - 5*d - 15 = 0. Suppose -n = d*u - 4*n - 41, -y = -4*u + 4*n. Calculate the greatest common divisor of 7 and u. 7 Suppose 3 = -3757*p + 3758*p. Suppose -3*r - 3*n = -n - 25, -3*n - 5 = -4*r. What is the highest common factor of r and p? 1 Suppose 0 = -4*g + 20, 0 = -5*i - 2*g + 29 - 4. Suppose i*p = 12, 3*h + 2*h + 4*p - 36 = 0. Calculate the greatest common divisor of h and 16. 4 Let k(o) = 27*o**2 + 9*o. Let m be k(-2). Calculate the highest common factor of m and 18. 18 Suppose -8 = -4*t - 0*t. Let j(g) = 0*g**t + 3*g**2 - 3 + 5*g + 3. Let o be j(-4). Calculate the highest common factor of o and 7. 7 Suppose -3*y = 4*v - v - 57, 0 = -5*y + v + 65. Suppose -2*j = -4*h + 164, -h - 2*j = 2*h - 130. What is the highest common divisor of y and h? 14 Suppose -l - 2 = -6. Let t = l - 3. Suppose -4*k = o - 25, 17 = 2*k + o - 2*o. Calculate the greatest common factor of k and t. 1 Let u(j) = -j**3 - 21*j**2 + 45*j. Let a be u(-23). Suppose o + 920 = 6*o. Calculate the greatest common divisor of o and a. 23 Suppose 0 = -4*r + 4*a + 1156, -26 = r + a - 317. Calculate the highest common divisor of 29 and r. 29 Let u be ((-1)/4)/(14/(-56))*9. What is the highest common divisor of u and 216? 9 Let z be 62/(-403) + 184/13. Calculate the greatest common factor of 91 and z. 7 Suppose 59*r - 44*r - 90 = 0. What is the highest common factor of r and 498? 6 Let w be (-14 - -10)/(1 - 5). Let a be (-753)/(-12) - w/(-4). Let c(l) = l**2 - 9*l + 7. Let j be c(9). Calculate the greatest common divisor of j and a. 7 Suppose -2*b = -4*u - 12, 5*b + u - 18 = -u. Suppose -i = b*i - 1320. What is the highest common divisor of 33 and i? 33 Let h = 1 + 13. Suppose t - s + h = -4*t, 2*t = -s. Let d be t/4 + 3/2. What is the highest common factor of 2 and d? 1 Let k be 1113/35 - 3/(-15). Suppose 27 = 33*f - k*f. Suppose -f - 83 = -5*i. Calculate the highest common factor of i and 11. 11 Let j = 551 + -491. What is the greatest common factor of 510 and j? 30 Suppose 2*b = 5*b - 18. Let s be b/8*32/1. Let f(l) = -11*l + 316. Let z be f(28). Calculate the greatest common factor of z and s. 8 Let s(k) = 10*k - 5. Let n be s(2). Let i be (-65)/(-25) - (-6)/n. Suppose 0*d - 462 = -i*d. What is the greatest common factor of 14 and d? 14 Let t(i) = -42*i + 2. Let r be t(1). Let n = r + 42. What is the highest common factor of 2 and n? 2 Suppose 610 - 10 = 15*j. Suppose 3*f - 38 = 10. Calculate the greatest common factor of f and j. 8 Let j = 294 + -207. What is the greatest common divisor of j and 29? 29 Let s(k) = -k**3 + 11*k**2 + 12*k - 8. Let r be s(8). What is the highest common factor of 168 and r? 56 Suppose -2*s = -7 - 5. Suppose -11*j = -24*j - 13. Let g be 2 - (-1*s - j). What is the greatest common divisor of g and 1? 1 Let w(z) = -z + 1. Let f be 6/(-8) + (-120)/(-32). Let r be w(f). Let s be 24/16 + (-5)/r. Calculate the greatest common divisor of s and 1. 1 Let z be 4*9/12 + 5. Suppose -6*l + 2*l + 3*x = -105, 22 = l - 5*x. Suppose 5 + l = 4*s. Calculate the greatest common divisor of s and z. 8 Suppose 45*q = q + 132. Calculate the highest common factor of q and 213. 3 Let x(u) = u**2 + 6*u - 7. Let c be x(5). Let w(m) = m**2 - 6*m - 10. Let o be w(8). What is the greatest common factor of c and o? 6 Suppose 0 = 6*f + f - 420. Suppose 4*d = -5*s + d + 159, 2*s - f = -3*d. Let x = s - 25. What is the highest common divisor of x and 88? 8 Let x(s) = 11*s - 14. Let y be 1 - (-2)/((-8)/(-12)). Let n be x(y). Let v be (1 + 4/20)*n. What is the highest common factor of v and 24? 12 Let y(t) = -4*t**2 - 43*t + 3. Let n be y(-10). What is the greatest common factor of n and 110? 11 Let v(c) = 4*c**2 + 10*c - 27. Let d be v(11). Calculate the highest common divisor of 126 and d. 63 Let o = 74 - 6. Suppose 2*j = -4*q + o, 2*j - 69 = -q - 4*q. Calculate the highest common factor of j and 48. 16 Suppose -4*f + 5*f = 14. Suppose 14 = 2*z - f. Let g(x) = -x**3 + 15*x**2 - 13*x + 16. Let p be g(z). What is the highest common factor of p and 10? 10 Suppose -2*l + l = 10. Let i = l - -52. What is the greatest common divisor of i and 7? 7 Let t(m) = m - 7. Let i be t(5). Suppose -f = -4*b - 22, b = -2*f - 4*b - 8. Let x be i/4 - (-129)/f. What is the highest common factor of 7 and x? 7 Suppose 4*j = 10*j - 102. Suppose -13 = -3*d + j. What is the highest common factor of 2 and d? 2 Suppose -113 = 2*y + 5*g - 562, 853 = 4*y - 5*g. Calculate the highest common divisor of y and 7. 7 Let v be 24/(-16 + 8) + 287. Calculate the greatest common factor of 213 and v. 71 Let x(w) be the first derivative of w**4/4 + 5*w**3/3 - 4*w**2 + 3*w + 9. Let f be x(-6). Calculate the highest common divisor of f and 6. 3 Let s be 4/(((-4)/(-50))/1). Suppose 1136 - 446 = 69*q. Calculate the highest common factor of s and q. 10 Suppose 323 - 1203 = -8*a. Calculate the greatest common divisor of a and 44. 22 Let b(q) = -q**2 + 24*q + 380. Let u be b(33). What is the highest common divisor of u and 1826? 83 Let n be ((-100)/35)/(2/(-63)). Wha
{ "pile_set_name": "DM Mathematics" }
) 2 d Suppose -2*x + 3*x - 12 = 0. Let z be (5/(-5850)*18)/(1*(-2)/20). What is the second smallest value in 0.1, x, z? z Let g = 10831/3 - 3610. Which is the fourth smallest value? (a) g (b) -198/5 (c) -2 (d) -1/4 a Let s = -51/124 - -1515/8432. Let r = s - -5/17. What is the third biggest value in 0.5, 5, r? r Let t = -0.23 + 10.23. Let o be 40/(-32)*(10 - 14). Let y = 0.26 + 0.24. Which is the fourth biggest value? (a) y (b) o (c) t (d) 1/7 d Let z = 622 + -303. Suppose -2*s + 323 = z. Which is the third biggest value? (a) 0 (b) -3 (c) s b Let s = 399 - -208. Let k = -601 + s. Which is the smallest value? (a) k (b) 3 (c) 2/17 c Let b be 2*2*(-6)/(-4) - 2040/330. Let x = -0.02 - -7.02. What is the second biggest value in x, b, -3, 0.5? 0.5 Let p = 334 - 328. Let t = 11 - 20. Let k = p + t. What is the second biggest value in k, 5, 2? 2 Let n = -82339/65868 + 1/16467. Which is the fourth biggest value? (a) 25/4 (b) 1/9 (c) n (d) -4 (e) 0.3 c Let m = 2.5 - 2. Let r be -25 - 15334/(-612) - (-4)/(-72). Which is the biggest value? (a) -4 (b) -2/5 (c) r (d) m d Let w = 82284/11 - 7480. Which is the smallest value? (a) w (b) -0.4 (c) 1 (d) 2/7 (e) 6 b Let y be -4*(-5)/(-40) - 10/(-100). Which is the third smallest value? (a) y (b) -5.3 (c) -1 (d) -2 c Let l = -4039 - -36349/9. What is the smallest value in 9/8, 1/4, l? l Let g = -29 - -3. Let y = -26.2 - -52.6. Let f = g + y. Which is the second biggest value? (a) 5 (b) 11 (c) f a Let v be (136/20 - 2)/((-10)/175). Let a be 1/1 - v/(-126). What is the second smallest value in -3/2, -5, -2/13, a? -3/2 Let p = -2.8234 + -0.1766. Let d = 0.7 + -0.4. What is the second biggest value in -5, p, d, -1/2? -1/2 Let y = 37357/5 - 7472. Which is the biggest value? (a) y (b) 1 (c) 4 (d) -0.08 c Let v = 19386.6 - 19387. What is the biggest value in -513, v, 4? 4 Let y = 54 + -42. Let s = -4 - y. Let h = s + 11. What is the third biggest value in h, -4, 4/5? h Let n be ((-2)/4)/(2/(-125)). Let v = n - 32. Let s be ((-15)/(-12)*-6)/(-3). What is the fourth biggest value in 7, s, v, 1/4? v Let h = -378 + 1187/3. Let k = -18 + h. Which is the smallest value? (a) 1 (b) -6 (c) k b Let n(m) = -m**2 + 7*m + 1. Let c be n(7). What is the fifth biggest value in -0.1, c, -28, -3/5, 0.6? -28 Let l be (1 - (-9)/(-7))/((-11)/(-7)). What is the fourth smallest value in -4/3, 4/5, l, 18/17? 18/17 Let m = 12.905 - 12.805. What is the third biggest value in 2.9, m, -5, 1/3? m Let q = 35.1 - 6.1. Let f = 50.47 + -47.47. What is the fourth smallest value in f, 5, 1, q? q Let i = -608.54 - -615. Let k = i + -6.06. Let v = -6 + 10. What is the second smallest value in 2/3, k, v? 2/3 Let h = 42638.3 + -42638. Suppose 6*w + 9 = 3*z + 2*w, 2*w + 6 = 0. Which is the biggest value? (a) -36 (b) 3 (c) z (d) h b Let g be 14/(-42)*-3*2. Suppose 3*l + 5 = -7*u + 9*u, -l + 1 = 2*u. Let j be ((-3)/(-26))/(3/4). Which is the biggest value? (a) l (b) g (c) 5 (d) j c Let t = 0.08427 + -35.37427. Let r = t - -35. Let l = 0.19 + r. Which is the smallest value? (a) l (b) -0.02 (c) 5/3 (d) -1/2 d Let y = -0.0221 + 7.1521. Let l = y - 2.13. What is the fourth biggest value in l, 6/7, -4, 4? -4 Let m = 65.7 + -66. Let k(f) = f**2 - 4*f - 1. Let s be (-50)/(-15) - (-6)/9. Let w be k(s). What is the fourth smallest value in 0.3, m, w, -2/7? 0.3 Suppose -1 = -a + 239. Suppose -2*r = 98 + a. Let f be -4 - -1 - r/39. What is the third smallest value in 3, -3, 2/13, f? f Let x be 85/(2890/(-136))*(-5)/(-4). Let u = -0.01 - 0.02. Which is the third biggest value? (a) x (b) -3 (c) u a Suppose w + 2 = 0, -3*f + w - 3 = 1. Let i be 12/(-10)*f/(-4). Let l = 155 + -145. Which is the second smallest value? (a) i (b) 1/2 (c) l b Let m be 2/(-7) + (-160)/(-756). Let z = 96 + -98. Let o be 0/(-1*z/2). Which is the biggest value? (a) m (b) o (c) -0.5 b Let y = 2.163 + -2.199. Which is the smallest value? (a) 4 (b) 0 (c) y c Let p = -35.2 + 99.2. Let s = -0.033 + 63.033. Let l = p - s. What is the biggest value in -16, -2, l? l Suppose 5*t - 52*o + 1 = -50*o, 8 = 2*t - 5*o. What is the third biggest value in -0.2, -357, t? -357 Let z = -0.0943 + -0.2057. Let n = -0.47 - 2.53. Let t = -0.6 - 3.4. What is the biggest value in t, z, 0.3, n? 0.3 Let s = 59.55 - 101.35. Which is the second biggest value? (a) -5 (b) s (c) 2/5 a Let p = -3/6073 - -18243/48584. Which is the third biggest value? (a) 1 (b) p (c) -23/3 (d) -4 d Let w = -821/13 - -63. Let x = -267.91 + 268.31. What is the fourth biggest value in 2, x, 101, w? w Let v = 2.375 + 0.245. Let t = v + -2.57. What is the third biggest value in t, -9, 1/4? -9 Let i = 3.03 - 0.03. Let h = 9.37 - 12.37. Which is the fourth smallest value? (a) -2 (b) h (c) i (d) -1 c Let r be (-7)/(98/252) + 1*6. Let o be ((-8)/r)/((2/(-75))/1). What is the second smallest value in -2/9, 1, o? -2/9 Suppose -5*c = 16 - 51. Let k = -6.4 - -6. Let p = 688 + -693. What is the biggest value in 2, k, c, p? c Let l = -681 - -683.83. Let f = 0.83 - l. Suppose 3*t - 5*t = 4*x - 28, 3*x - t - 11 = 0. What is the second biggest value in 1, f, x? 1 Let y(t) = -t**2 + 12*t - 16. Let z be y(10). Suppose -12 = 4*v - z*o, 4*o + o + 5 = 0. Which is the smallest value? (a) -31 (b) v (c) 1/4 a Let u = -135 + 136. Let n be u/((-35)/(-322) + 0). What is the third biggest value in n, 0.3, 0.5? 0.3 Let v = 37825 + -37830. What is the third biggest value in -0.084, v, -13? -13 Let w = 56.54 - 56.44. Which is the second biggest value? (a) -8 (b) -0.05 (c) -1 (d) w (e) 0.5 d Suppose -w + 4 - 9 = 5*j, -3*j = -4*w - 66. Let k be 8*(-4)/(-80) + 13/w. Let x = -64/105 - k. What is the second smallest value in -1, -2, x, 2/13? -1 Let q = -1.9 - -6.4. Let f = q - 4.6. Which is the third biggest value? (a) 1/9 (b) -0.5 (c) f (d) 2 c Let i = -40894 + 40892. Let r = 7 + -6.7. Which is the biggest value? (a) i (b) 4 (c) r (d) -0.4 b Let r = -0.246 - 0.784. Let u = 22.97 - r. What is the third smallest value in u, -0.1, 1? u Let z = 255 - 250. Let u be 5/(-40)*(-9 + z). What is the second smallest value in -5, u, -6? -5 Let x = 5 + -16. Let f = -186 + 184. Let o be 1/f*(-20)/(-35). Which is the second smallest value? (a) 0.4 (b) 0.2 (c) x (d) o d Let z = 108 - 107.18. Let l = z + -0.79. What is the third smallest value in 5, 2/21, -4, l? 2/21 Let w = 67809/19 - 3569. Which is the third smallest value? (a) 519 (b) w (c) -5 (d) 4 d Let u = 3303 + -3299. What is the third smallest value in u, -15/4, 58? 58 Let k = -1251.93 - -1251.43. Let s = -0.07 + 4.07. What is the smallest value in s, 0.2, k, -1.7? -1.7 Let h = -1632.9 + 1977. Let m = h - 344. What is the third biggest value in 3, -0.5, m? -0.5 Let h be 1560/195 + (-85)/12 - 10/6. Which is the fourth biggest value? (a) 5 (b) -1 (c) -0.2 (d) 309 (e) h e Let z = -551.5 + 551.2. Which is the fourth smallest value? (a) -10 (b) -0.1 (c) 3 (d) z (e) -2/5 b Let m = 266 - 394. Let i = 244 + m. Let l = 117 - i. Which is the second smallest value? (a) 3 (b) l (c) 4/7 b Let t = 33 + -65/2. Let p = -174 + 119. Let i = p + 59. Which is the biggest value? (a) 13 (b) i (c) t a Let g = -0.7091 - -4.7091. Which is the third smallest value? (a) 0.2 (b) 0.15 (c) -1 (d) g (e) 1 a Let p = -3.1 - -3. Let v = -3 - 0. Let f = 139474 - 139469. Which is the second biggest value? (a) p (b) -1/2 (c) f (d) v a Let u be (1/(-3))/(21/(-18) - 105/(-42)). What is the third biggest value in -18, u, 2/5? -18 Let s = -0.084 - 4.616. Let i = -0.086 - -3.786. Let o = s + i. Which is the third biggest value? (a) o (b) 5 (c) 0.3 a Let q = -404 + 406. What is the second biggest value in q, -6, -27? -6 Let o = 119 + -118.9. Let s be 70/(-168) - -2*6/16. What is the smallest value in s, -2, o? -2 Let i = -79 + 157. Let y = 278.3 - 356. Let s = y + i. Which is the third biggest value? (a) -3 (b) s (c) 3 a Let p be (2/(-2))/((-1)/4). Let w = -207627 - -207768. What is the third smallest value in w, p, -5? w Let o = -1009/84 + 341/28. What is the smallest value in 0, 27, o? 0 Let r = -0.101 + 0.481. What is the smallest value in 4, r, 2, 4/7? r Let k = -32570.2 + 32570. Let j = -0.31 - 0.19. Which is the second biggest value? (a) -2 (b) k
{ "pile_set_name": "DM Mathematics" }
1*h**3 wrt f? -134100*h**3*y**2 What is the first derivative of 5*f**3 - 6*f**2 - 93*f - 21016 wrt f? 15*f**2 - 12*f - 93 What is the derivative of 4779*i**2 + 7830 wrt i? 9558*i Find the third derivative of 4*l**3*r**2 + 1240*l**3 - 2*l**2 + 21*l - 3*r**2 wrt l. 24*r**2 + 7440 What is the first derivative of w**4 + 76*w**2 + 2165 wrt w? 4*w**3 + 152*w Find the second derivative of 5*r**3*z**3 - 7*r**3*z + 5*r**3 + 4*r*z + 49*z**5 wrt z. 30*r**3*z + 980*z**3 Find the second derivative of -6*i**2*z**5 - 2119*i**2*z - 140*i*z**4 wrt z. -120*i**2*z**3 - 1680*i*z**2 Find the third derivative of -13*i**3*j - 5*i**3 + 3*i**2*j + 2*i*j - 94*i - 2 wrt i. -78*j - 30 What is the first derivative of -213*h**3 + 184 wrt h? -639*h**2 Find the third derivative of -736*g**6*w - 2*g**2*w + 2*g*w + 12*w wrt g. -88320*g**3*w Find the third derivative of 16*j**2*n**3*z - 17*j**2*n**2 - j*n**2*z - j*n**2 + 30*n**3 - 5*n**2 wrt n. 96*j**2*z + 180 What is the third derivative of 10445*t**4 + 159*t**2 + 21? 250680*t What is the third derivative of 4*p**5*q - p**4*q - 264*p**3 - 110*p**2 - q + 2 wrt p? 240*p**2*q - 24*p*q - 1584 What is the second derivative of 12*t**5 + 52*t**2 - 569*t? 240*t**3 + 104 Find the first derivative of 791*d**3 + 113. 2373*d**2 Find the first derivative of 9343*j - 3698 wrt j. 9343 Differentiate -1636*c*t**2 + 13*t**2 + 2*t - 22 wrt c. -1636*t**2 Find the third derivative of l**3*o*q + 427*l**3*q*z + l**3*z + 13*l**2*o*z - 2*l*o*q + 4*l*q*z - 3*o*q wrt l. 6*o*q + 2562*q*z + 6*z Find the second derivative of -4*f**4*o*z + 4*f**4*o + 27*f*o*z - f*o wrt f. -48*f**2*o*z + 48*f**2*o Differentiate -247*v**2 - 394 wrt v. -494*v What is the third derivative of -114*q**5 - 6*q**4 + 91*q**2 wrt q? -6840*q**2 - 144*q Find the first derivative of -25116*p + 31617. -25116 What is the derivative of 4319*l**2 - 5203 wrt l? 8638*l Differentiate -39*d**2*h + 4*d**2 + 2*d*h - 574*d + 2*h + 2 wrt h. -39*d**2 + 2*d + 2 What is the derivative of 5*c**3*j**2 - 6*c**3*j*l + 3*c**3 - j**2*l - 16*l wrt j? 10*c**3*j - 6*c**3*l - 2*j*l What is the first derivative of 2732*s**4 + 1504 wrt s? 10928*s**3 What is the second derivative of -3*h**2*j**4 - 126*h**2 + 2*h*j + 4*j**4 wrt j? -36*h**2*j**2 + 48*j**2 Differentiate -56*f**2*w + 2*f**2 + 62*f*j**3*w + f*j**3 + 156*j**3 - 6 with respect to w. -56*f**2 + 62*f*j**3 What is the third derivative of -3*a**2*g**3*l - a**2*g**2*l - a**2*g*l - a**2*l - a*g*l - 5*g**4 + 39*g**3 - g wrt g? -18*a**2*l - 120*g + 234 What is the derivative of -8821*p - 6558? -8821 Find the first derivative of -1348*v - 1052 wrt v. -1348 What is the third derivative of -13*b*h**2*w**3 + b*h**2*w - 95*b*h**2 + 2*h**2*w**3 + 2*h*w**2 - 2*h wrt w? -78*b*h**2 + 12*h**2 Find the second derivative of f**5*h**2 + 134*f**3*h**2 + 2*f*h**2 - 3*f*h - 7*f wrt f. 20*f**3*h**2 + 804*f*h**2 What is the derivative of -820*z**4 - 672? -3280*z**3 What is the second derivative of 2*a**3*i**2*z + 10*a**3*i*z**2 - 2*a**3*i*z + 2*a*i**2*z**2 + 7*a*i**2*z + 3*i**2*z**2 - 5*i**2*z wrt z? 20*a**3*i + 4*a*i**2 + 6*i**2 Find the second derivative of -75*d**5 - 3*d**4 + 251*d. -1500*d**3 - 36*d**2 What is the second derivative of -122*a**2*c**2*o**2 + 3*a*c**2*o**2 + 3*a*c**2 + 7*a*c - o**2 wrt a? -244*c**2*o**2 Differentiate 186*d**3*n**4 + 5237*d**3 + d**2*n**4 wrt n. 744*d**3*n**3 + 4*d**2*n**3 What is the third derivative of -95*d**5 + 50*d**2 - 3*d wrt d? -5700*d**2 What is the second derivative of 950*c**2*y**3 - 673*c**2*y - 2*c**2 + c*y**3 - 2*y**4 - 2*y wrt y? 5700*c**2*y + 6*c*y - 24*y**2 What is the second derivative of 2*i*t*x**3 - 2*i*t + 4*t**2*x**2 - 69*t**2*x + 3*t**2 - 26*t*x**2 - 7*x**2 wrt x? 12*i*t*x + 8*t**2 - 52*t - 14 Find the second derivative of -2666*p**2 - 6*p + 98 wrt p. -5332 Differentiate -2807*a - 2492 with respect to a. -2807 Find the second derivative of -q**3 + 22*q**2 + 6*q + 118 wrt q. -6*q + 44 Find the third derivative of 1543*r**3 - 6*r**2 - 49 wrt r. 9258 Find the third derivative of -20*m**6 - 32*m**4 - 674*m**2 wrt m. -2400*m**3 - 768*m What is the third derivative of 12*y**6 - y**4 + 26*y**2? 1440*y**3 - 24*y Find the second derivative of 14776*a*c**3 - 19*a*c - 137*a + c - 2 wrt c. 88656*a*c Differentiate -5*m**3 - 20*m - 271 with respect to m. -15*m**2 - 20 Find the third derivative of -3550*q**4 + 9*q**2 - 20*q + 9. -85200*q What is the second derivative of -234*k**3*u**2 - 6*k**3*u + 2*k**3 - 2*k*u**3 - 8*u - 2 wrt u? -468*k**3 - 12*k*u What is the third derivative of 547*r**4 - 19*r**2 + 15*r wrt r? 13128*r What is the third derivative of -13*h**4*t - 3*h**3*t - h**2*t + 16*h**2 - h*t wrt h? -312*h*t - 18*t What is the second derivative of -7596*a**3 + 3087*a? -45576*a Find the second derivative of -30*o**3 - 14*o**2 - 1689*o. -180*o - 28 What is the derivative of 866*y - 1466? 866 What is the third derivative of 8302*p**3 + 3*p**2 + 369 wrt p? 49812 What is the derivative of -1113*u**3 + 944 wrt u? -3339*u**2 What is the derivative of -115*b**3*l - 167*l wrt b? -345*b**2*l Find the third derivative of -24*d**2*n**3 - d**2 + 5*d*n**6 + 6*n**2 wrt n. -144*d**2 + 600*d*n**3 What is the second derivative of 2*c**4*p**2 - 45*c**3*p**2 - 15*c*p - p**2 wrt c? 24*c**2*p**2 - 270*c*p**2 What is the third derivative of -152*j**3*x**3 + 2*j**3 + 5*j**2*x**2 - 3*x**2 wrt x? -912*j**3 Find the third derivative of -166*o**5 + 2*o**3*z + 25*o**2*z + o*z wrt o. -9960*o**2 + 12*z Find the first derivative of -11*a**3*o + 141*a**3*p**2 + 11*a**2*o*p**2 wrt o. -11*a**3 + 11*a**2*p**2 What is the derivative of 2*g*l - 361*g*o - 2*g + 3*l**4*o - l**4 + l*o + 2*o wrt l? 2*g + 12*l**3*o - 4*l**3 + o What is the third derivative of -125*n**3*v**5 + 3*n**3*v**2 + 5*n**3 + 4*n*v**2 wrt v? -7500*n**3*v**2 What is the second derivative of 4287*x**2 - 6286*x? 8574 What is the second derivative of -7*j*p**4 - j*p**2 - 4*j*p - 39*j + 6*p**3 + 17*p**2 - 2*p wrt p? -84*j*p**2 - 2*j + 36*p + 34 What is the second derivative of 2*g**3*t**2*w + 3*g**3*t*w - 158*g**2*t**2*w**3 - 14*g*t*w**3 + t*w**3 wrt t? 4*g**3*w - 316*g**2*w**3 What is the first derivative of -165*h**3 + h**2 + 2*h - 3919 wrt h? -495*h**2 + 2*h + 2 What is the second derivative of -23020*x**5 + 17459*x? -460400*x**3 Find the third derivative of 10*m**3*r*t**3 + m**3*t**3 + m**3*t**2 - 59*r*t**2 - 5*t**5 wrt t. 60*m**3*r + 6*m**3 - 300*t**2 Differentiate -2*j**2*o**2 - 7*j**2*o + 164*j**2 + j*o with respect to o. -4*j**2*o - 7*j**2 + j Find the second derivative of -6*s**3*y - 959*s**2*y - 1872*s*y - 3*s wrt s. -36*s*y - 1918*y Find the third derivative of -2*n**2*w*x**3 - 2*n**2*x**2 - 9*n*x**2 + 8*w*x**4 + 3*w*x + 2*x**4 wrt x. -12*n**2*w + 192*w*x + 48*x What is the third derivative of 1226*s**3 + 645*s**2 wrt s? 7356 Find the second derivative of -9652*d**3 - 41*d - 12. -57912*d Find the second derivative of 7*d**2*m**3*z**3 + d**2*m**3*z - d**2*z + d*m**3*z**2 + 4*m**3*z + 7*z**3 + 4*z wrt d. 14*m**3*z**3 + 2*m**3*z - 2*z Find the second derivative of 1544*o**5 + 473*o - 1. 30880*o**3 What is the second derivative of -69*x**2 + 48*x wrt x? -138 What is the third derivative of -651*s**5 + 2*s**4 + s**3 - 18*s**2 - 313? -39060*s**2 + 48*s + 6 What is the second derivative of 18217*l**3 + 2*l - 1295? 109302*l What is the second derivative of 4509*m**2*x**3 + m**2*x - m**2 - 58*m wrt x? 27054*m**2*x What is the derivative of 45*z**3 + 176 wrt z? 135*z**2 Find the third derivative of 48*h*m**3*q**3 + h*m**3 - 128*h*m**2*q**2 - 5*h*m*q**2 + 3*m**3*q**3 wrt q. 288*h*m**3 + 18*m**3 What is the first derivative of 2*k**4*w + 1553*k**3*w**3 - 330*w**3 + 4*w wrt k? 8*k**3*w + 4659*k**2*w**3 Differentiate 429*l**4 - l - 25 with respect to l. 1716*l**3 - 1 Find the second derivative of -8380*q**3 - 3*q + 113. -50280*q What is the third derivative of -551*a**5 - 6*a**3 - 7494*a**2? -33060*a**2 - 36 Find the third derivative of 1762*y**4 - 4*y**3 + y**2 + 223*y + 1 wrt y. 42288*y - 24 What is the first derivative of 11337*l + 4422? 11337 What is the first derivative of 4*h**2*w**3 + 5*h**2*w**2 + 3*h**2 - 184*w**3 wrt h? 8*h*w**3 + 10*h*w**2 + 6*h Find the third derivative of -1406*k**6 + k**4 + 275*k**2 + 4*k wrt k. -168720*k**3 + 24*k What is the second derivative of -107*f**2*t**2 + 2*f**2*t
{ "pile_set_name": "DM Mathematics" }
6*b**2 + 6896 - 67*b**2. -b**2 Collect the terms in 528*q - 1053*q + 525*q + 162*q**2. 162*q**2 Collect the terms in 3*p - 85 - 1 - 89 - 2*p - 135. p - 310 Collect the terms in 1147725752*p + 2*p**3 - 1147725752*p. 2*p**3 Collect the terms in 1426*s - 1426*s - 833*s**2 + s**3 + 415*s**2 + 418*s**2. s**3 Collect the terms in z**2 - 2*z**2 - 185*z**3 + z**2 - 3*z**2 + z**2. -185*z**3 - 2*z**2 Collect the terms in 188*b**2 + 0*b**3 + 12*b**3 - 366*b**2 + 178*b**2. 12*b**3 Collect the terms in 3647*h - 3647*h - 93*h**3 + 74*h**3. -19*h**3 Collect the terms in 91 - 176 + 4*l**2 + 87 - 3*l**2. l**2 + 2 Collect the terms in 26*d**2 - 55*d**2 + 36*d**2. 7*d**2 Collect the terms in -20*c**2 + 7233 - 3617 - 3616. -20*c**2 Collect the terms in 67*o**3 - 13322*o**3 + 13254*o**3. -o**3 Collect the terms in 442*u**3 + 430*u**3 - 288*u**3. 584*u**3 Collect the terms in 188 + 8*t + 195 - 561 + 5*t + 183. 13*t + 5 Collect the terms in -6004*x - 13 + 6016*x + 27 - 14. 12*x Collect the terms in 13725 + 466*o**2 - 6859 - 6866. 466*o**2 Collect the terms in -10*r**2 - r**2 + 11*r**2 + 3*r**2 - 6*r**2. -3*r**2 Collect the terms in 174 + 0*f**3 + 165 + 6*f**3 + 173 - 512. 6*f**3 Collect the terms in -10728 + 0*g - g - g + 10728. -2*g Collect the terms in -3*x + 82797 - 27601 - 27596 - 27600. -3*x Collect the terms in 677054*i - 677054*i + 4*i**2 - 4*i**2 + i**3. i**3 Collect the terms in 59*o + 7 - 175*o + 69*o + 52*o + 36*o. 41*o + 7 Collect the terms in 26*i + 2*i**2 + 794*i**2 - 11*i - 15*i. 796*i**2 Collect the terms in 359*o + 361*o - 695*o. 25*o Collect the terms in 6*y**2 - 798*y**3 - 99 - 6*y**2 + 99. -798*y**3 Collect the terms in -u**3 - 2573*u**2 + 2573*u**2 - 2. -u**3 - 2 Collect the terms in 0*p - 3*p - 2*p**2 - 6*p - 6*p. -2*p**2 - 15*p Collect the terms in 171*m**3 - 5*m + 166*m**3 + 5*m**2 - 5*m**2 - 336*m**3. m**3 - 5*m Collect the terms in 71*t**2 - 191*t**2 - 660*t**2. -780*t**2 Collect the terms in 90 + 953*p + 86 - 176 + 801*p. 1754*p Collect the terms in -366 - 13*u**3 + 78*u**3 - 66*u**3. -u**3 - 366 Collect the terms in j**3 + 15*j**2 - 42*j**2 - 410*j**2. j**3 - 437*j**2 Collect the terms in 12*q - 6*q**2 - 11*q - 9*q**2 + 8*q. -15*q**2 + 9*q Collect the terms in -72342*k + 8*k**2 + 72342*k. 8*k**2 Collect the terms in -y**3 - 204 + 91 - 154. -y**3 - 267 Collect the terms in 39*l - 1 + 9*l - 17*l. 31*l - 1 Collect the terms in 3014483*t - 3*t**2 - 3014483*t - 8*t**3. -8*t**3 - 3*t**2 Collect the terms in 13149*u + 1 - 13119*u + 0 - 1. 30*u Collect the terms in o - 61245921*o**2 + 61245924*o**2 - o. 3*o**2 Collect the terms in -1244 + 2487 - 1243 + 67*b**2. 67*b**2 Collect the terms in -2515*r - 33*r**2 + 1258*r + 10 + 1257*r. -33*r**2 + 10 Collect the terms in -6 + 10 + s + 15 + 3 + 5. s + 27 Collect the terms in -2 + 2564*z + 10 + 7693*z. 10257*z + 8 Collect the terms in -4*p**2 + 3 - 20*p**2 - 23*p**2 - 3. -47*p**2 Collect the terms in 9 + 7 + 12 - 28 - 1861*b**3. -1861*b**3 Collect the terms in 9*f**2 + 234 - 16*f**2 - 234. -7*f**2 Collect the terms in -m - 12*m**3 + 9*m**3 + 2*m**3 + m. -m**3 Collect the terms in 375*k**3 - 1084*k**3 + 365*k**3 + 361*k**3. 17*k**3 Collect the terms in -582 - 6433*g**2 + 582. -6433*g**2 Collect the terms in -22*k**3 + 79*k**3 + 77*k**3 - 3*k - 30*k**3 + 5*k. 104*k**3 + 2*k Collect the terms in 4*u**3 + 3*u**3 - u**3 + 457*u - 7*u**3 + 0*u**3. -u**3 + 457*u Collect the terms in 0*m**3 - 29*m**2 - 7*m**3 + 32*m**2 - 3*m**2. -7*m**3 Collect the terms in -29*a**2 - 13*a**2 - 20*a**2 + 62*a**2 - a**3. -a**3 Collect the terms in -98298 + 98298 - 4*d + 0*d. -4*d Collect the terms in -407 + 3*q**3 - 405 + 339 + 473. 3*q**3 Collect the terms in -5*a**2 + 29*a - 2*a**3 + 33*a + 5*a**2. -2*a**3 + 62*a Collect the terms in -1344*a - 166*a + 40*a - 101*a - 2*a**3 - 1. -2*a**3 - 1571*a - 1 Collect the terms in 9365*z**2 + 9370*z**2 - 18648*z**2. 87*z**2 Collect the terms in 1165 - 2269*f - 1165. -2269*f Collect the terms in -229255*u + 27*u**2 + 229255*u. 27*u**2 Collect the terms in -46*a**2 + 22*a + 76*a**2 - 45*a**2. -15*a**2 + 22*a Collect the terms in -1379*r**2 - 1375*r**2 + 2746*r**2. -8*r**2 Collect the terms in -70*i**2 + 11*i**2 - 12*i**2 + 69*i**2. -2*i**2 Collect the terms in 5 + 23*g**3 - 72*g**3 + 2*g**2 - 5. -49*g**3 + 2*g**2 Collect the terms in -173747*l**3 + 173742*l**3 - 62 + 62. -5*l**3 Collect the terms in 12*p - 27*p + 8*p + 17*p. 10*p Collect the terms in -121*g - 121*g - 113*g + 357*g + 751. 2*g + 751 Collect the terms in 1200 - 849*v**3 - 1200. -849*v**3 Collect the terms in -30*w**2 - 13*w**2 + 46*w**2. 3*w**2 Collect the terms in 47*i**2 + 1808494735*i - 1808494735*i. 47*i**2 Collect the terms in -8*i + 74*i + 87*i + 27*i - 23*i. 157*i Collect the terms in 37*b**2 + 25 - 28*b**2 - 7 + 20. 9*b**2 + 38 Collect the terms in -5609352 + 21*v + 5609352. 21*v Collect the terms in -72*i - 1350*i - 1050*i - 1248*i. -3720*i Collect the terms in 40278*b**2 - 209*b**3 - 40278*b**2. -209*b**3 Collect the terms in -22*k**2 - 204*k - 46*k - 43*k + 293*k. -22*k**2 Collect the terms in 3399*c**2 + 51*c**3 - 3399*c**2. 51*c**3 Collect the terms in 27*o**2 - 20*o**2 - 17*o**2 + 33*o**2 - 2*o**3 - 23*o**2. -2*o**3 Collect the terms in -7418*q + 14840*q - 47*q**2 - 7422*q. -47*q**2 Collect the terms in -2*b + 16 + 3 + 63*b**2 + 41*b**2 + 14*b. 104*b**2 + 12*b + 19 Collect the terms in -26*d + 18*d + 9*d**3 + d. 9*d**3 - 7*d Collect the terms in 20*x - 21 - 1 + 10 + 12. 20*x Collect the terms in -3026*m + 5837*m - 2811*m + m**2. m**2 Collect the terms in -284*r - 8048*r + 23506*r + 23410*r. 38584*r Collect the terms in 14*x**3 - 12*x + 7990 - 7990. 14*x**3 - 12*x Collect the terms in -i**2 + 2*i**2 + 1398803*i - 1398808*i. i**2 - 5*i Collect the terms in -43 - 189*d - 197*d + 581*d - 194*d. d - 43 Collect the terms in 263325 - x**2 - 263325 - 3*x**2. -4*x**2 Collect the terms in 0 + 95*a**2 + 0 - 208*a**2 + 131*a**2. 18*a**2 Collect the terms in 4619862*q - 4619858*q - 3 - 6. 4*q - 9 Collect the terms in -4*t + 5*t + 5*t - 2*t + 1 - 53*t. -49*t + 1 Collect the terms in -170393*o**3 + 340743*o**3 - 170360*o**3. -10*o**3 Collect the terms in -362*v - 311*v + 673*v + 50*v**2. 50*v**2 Collect the terms in -225*x**3 + 2 - 4*x - 2 + 90*x**3. -135*x**3 - 4*x Collect the terms in -6*w**3 - 10*w**3 + 57*w**3 - 26*w**3 - 20*w**3 + 3*w**3. -2*w**3 Collect the terms in -46*d**3 - 2*d + 12*d**2 + 2*d. -46*d**3 + 12*d**2 Collect the terms in 37843*f**2 - 19315*f**2 - 18919*f**2. -391*f**2 Collect the terms in -60030*g**2 - 16105*g**2 - 24045*g**2 + 10963*g**2. -89217*g**2 Collect the terms in -899051 - 2*c + 899051. -2*c Collect the terms in 10*v - 193*v - 47*v - 138*v + 1. -368*v + 1 Collect the terms in -26 - 2*q + 31 - 39 - 15. -2*q - 49 Collect the terms in 5303*t**3 + 5 - 14651*t**3 - 5. -9348*t**3 Collect the terms in 1041 - 518 + 60*v - 523 - 4*v**3 + 2*v**3. -2*v**3 + 60*v Collect the terms in 28*f**2 - 14*f**2 - 20*f**3 - 14*f**2 - 4*f + 0*f. -20*f**3 - 4*f Collect the terms in -3*t**3 - 75*t**2 - 70*t**2 - 134*t**2 + 355*t**2 - 76*t**2. -3*t**3 Collect the terms in 30*v**2 + 117*v**2 + 5*v**2 - 152*v**2 - 3*v**3. -3*v**3 Collect the terms in -2*d - 784956 + 392479 + 392477. -2*d Collect the terms in 1727*v**2 + 3551*v**2 + 1257*v**2. 6535*v**2 Collect the terms in 159*s**2 - 33*s**2 + 12*s**2. 138*s**2 Collect the terms in 46425324*r + r**3 - 46425324*r. r**3 Collect the terms in 4 - 3 + 1067814*q**2 - 1067808*q**2. 6*q**2 + 1 Collect the terms in 563*z**2 - 856*z**2 - 1091*z**2. -1384*z**2 Collect the terms in 11709253 - 11709253 - 12*f**2. -12*f**2 Collect the terms in -l**2 - l**2 + 932 - 2*l**3 + 0*l**2. -2*l**3 - 2*l**2 + 932 Collect the terms in 304*l + 2055*l + 141*l. 2500*l Collect the terms in 12 - 4 + 4 + 0*z**2 + 3*z**2. 3*z**2 + 12 Collect the terms in 19*o + 53 + 82 + 6*o + 36. 25*o + 171 Collect the terms in -533*q**2 - 515*q**2 + 1051*q**2. 3*q**2 Collect the terms in -4460*u**3 - 3966*u**3 - 814*u**3. -9240*u**3 Collect the terms in 21*q**2 + 61*q**2 + 42*q + 6*q**2. 88*q**2 + 42*q Collect the terms in -r - 165*r**2 + 0*r + 165*r**2 - 21*r**3 + 115*r**3. 94*r**3 - r Collect the terms in -2 - r - 3*r + 0 + 319*r**3 - 7*r. 319*r**3 - 11*r - 2 Collect the terms in 67959*m - 33990*m - 33984*m. -15*m C
{ "pile_set_name": "DM Mathematics" }
6*h**3 - 3 wrt b? -9*h**3 - 30*h**2 Find the first derivative of 2*o**2 - 6776*o + 20211. 4*o - 6776 What is the first derivative of 231*l**4 - 1? 924*l**3 What is the second derivative of -31046*f**2*o**2 + 11377*f + o**2 wrt f? -62092*o**2 Differentiate -22515*c - 13063 with respect to c. -22515 What is the third derivative of 1605*g**4 - 5512*g**2 wrt g? 38520*g What is the derivative of -33*b**2 - 2*b - 718? -66*b - 2 Find the second derivative of -2*f**2*i**2 + 67*f**2*i - 7*f**2 + 4*f*i**2 - 2*i**2 - 8*i wrt f. -4*i**2 + 134*i - 14 Find the second derivative of -226*b**2*n + 7*b*n - b + 2*n wrt b. -452*n What is the third derivative of 47*k**3 - 74*k**2? 282 Find the second derivative of -2721*g**4 + 10247*g. -32652*g**2 What is the third derivative of -8496*o**3 + 66*o**2 + 11*o wrt o? -50976 Find the first derivative of -625*k + 272. -625 Find the second derivative of 3*q*x**3 - 3*q*x**2 + q*x - x**3 - 48*x wrt x. 18*q*x - 6*q - 6*x What is the second derivative of g**2*k*v**2*z - 3*g**2*v**3*z - 2*g**2*z**2 + 4*g**2 - 58*g*k*z**2 - 4*k*z + 6*v**3*z**2 - 2*z wrt z? -4*g**2 - 116*g*k + 12*v**3 Differentiate -3808*n + 4141 with respect to n. -3808 Find the third derivative of 19*b**3*q**3*r + b**3*q**2*r - 13*b**3*r**2 + b*q**3*r**2 - 2*r**2 wrt q. 114*b**3*r + 6*b*r**2 What is the derivative of -g**3*k*o - g**3*k - 114*g**2*k**2*o - 30*g*k**2 - 5*k wrt o? -g**3*k - 114*g**2*k**2 What is the second derivative of 380*b**3*c**2 + 2*b**3 + 34*b*c wrt c? 760*b**3 Find the third derivative of -p**5 + 2*p**4 + 336*p**3 + 19*p**2 + p + 1 wrt p. -60*p**2 + 48*p + 2016 Find the second derivative of 5*o**2*z**3 - o**2*z**2 - 97*o**2 + 18*z**3 + z wrt z. 30*o**2*z - 2*o**2 + 108*z What is the third derivative of 18*w**5 + 3*w**3 + 111*w**2? 1080*w**2 + 18 What is the third derivative of 1319*b**4*h**2*m**2 + 122*b**2*h**2*m**2 - b*h**2*m**2 + 2*b*h**2 wrt b? 31656*b*h**2*m**2 What is the derivative of h**2*p + 23646*h**2 - 473*h*p wrt p? h**2 - 473*h What is the derivative of -108*h*v - h + 370*v wrt h? -108*v - 1 Find the second derivative of -75*d*w**4 + 18*d - 10*w**4 + 189*w wrt w. -900*d*w**2 - 120*w**2 Find the third derivative of -k**2*z**4 - 71*k**2*z - 3*k**2 - 3954*k*z**4 + 5*k*z**2 - 4*z**2 wrt z. -24*k**2*z - 94896*k*z What is the third derivative of 10*o**5 + 13*o**3 + 5*o**2 - 9 wrt o? 600*o**2 + 78 What is the derivative of -44*g**2 + 11*g + 4463 wrt g? -88*g + 11 Find the first derivative of -307*i**3 - 252 wrt i. -921*i**2 Find the third derivative of 2*d**2*n*p**3 + 15*d**2*p**2 + 8*d**2*p - 53*d*n*p**3 + 5*d*p**3 + 2*n*p wrt p. 12*d**2*n - 318*d*n + 30*d What is the third derivative of 208*n**5 - 24*n**2 + 3 wrt n? 12480*n**2 What is the second derivative of -7518*s**3 - 2*s**2 - 12*s + 11? -45108*s - 4 What is the second derivative of 572*c**3*d + 2*c**2*d**2 - c**2*o - 2*c*d**2 + 2*c*d*o + 6*c*d - 3*d**2*o wrt c? 3432*c*d + 4*d**2 - 2*o What is the first derivative of -3*n*w**2*z + 3*n*w*z + 2*w**2 + 39*z - 3 wrt n? -3*w**2*z + 3*w*z Differentiate -8993*x**3 - 3319 wrt x. -26979*x**2 Differentiate -f**2*v**2 - 2*f*v**3 + 99*f*v**2 - 60*v**3 wrt f. -2*f*v**2 - 2*v**3 + 99*v**2 Find the third derivative of -25*c**3*f*s**3 - 4*c**3*f*s**2*t**3 + 3*c**2*f*t**2 + c**2*s**3 - 19*c**2*t**2 + 3*c*f*t**3 wrt c. -150*f*s**3 - 24*f*s**2*t**3 What is the derivative of 156*h**2 + 1389 wrt h? 312*h What is the third derivative of 2457*c**4 - 4853*c**2 wrt c? 58968*c Find the second derivative of -2*o**5 + 2209*o**4 - o**3 + 356*o - 3 wrt o. -40*o**3 + 26508*o**2 - 6*o What is the first derivative of 8*a**3 + 3*a**2 - a + 2594 wrt a? 24*a**2 + 6*a - 1 What is the derivative of -y**4 + 2*y**2 - 623*y - 4271 wrt y? -4*y**3 + 4*y - 623 What is the derivative of 15*o**4 - 489*o**3 - 18466? 60*o**3 - 1467*o**2 Differentiate -2*b*x*y - 6*b*y + 6*b - 16*x*y + y with respect to x. -2*b*y - 16*y What is the second derivative of 26*m*r**3*z**4 + 4*m*r**3*z - 3*m*z**4 - 4*m + r**3 wrt z? 312*m*r**3*z**2 - 36*m*z**2 Differentiate -2*c*f*i - 6*c*f*k**3 + c*i*k**3 + 3*f*i*k**3 + 2*f*k**3 - 4*f + 3*i wrt i. -2*c*f + c*k**3 + 3*f*k**3 + 3 Differentiate -25*i*p**2 + 15*i + p**2 - 2 with respect to p. -50*i*p + 2*p Find the third derivative of 5820*w**6 - 74*w**2 + 9 wrt w. 698400*w**3 What is the third derivative of -n**3*t**3*y - 2*n**3*t + n*t**4 + 73*n*t**2 - 21*t**4*y - 2*t*y wrt t? -6*n**3*y + 24*n*t - 504*t*y Find the second derivative of 86*x**5 - 2*x**4 + 176*x - 2. 1720*x**3 - 24*x**2 What is the third derivative of -3*q**6 - 53*q**5*s**3 - q**2*s - 324*s**3 - 1 wrt q? -360*q**3 - 3180*q**2*s**3 What is the first derivative of 179*h**3 + 2*h - 8360? 537*h**2 + 2 What is the third derivative of b**4 - 3474*b**3*n**2 - 2*b**2 + 144*b - 2*n**2 - 1 wrt b? 24*b - 20844*n**2 Differentiate 873*i*s - 21922*i + 4*s**3 + s**2 wrt s. 873*i + 12*s**2 + 2*s Find the third derivative of -2*b*f*w**3 - b*f*w**2 + 13*b*f*w + b*w**3 + b*w**2 + f*w**3 + 433*w**3 - w**2 wrt w. -12*b*f + 6*b + 6*f + 2598 What is the third derivative of 2*b**3*c**3 - 3*b**3*c**2*l**2 - 2*b**3*c**2*l - 4*b**3*l**2 - 2*b**3*l - 75*b*c**3*l**2 wrt c? 12*b**3 - 450*b*l**2 What is the second derivative of -465*f**2*x**3 + 497*f*x**3 wrt f? -930*x**3 What is the first derivative of -2655*z**2 + 706? -5310*z Find the second derivative of -8*m**3*t*x + 5*m**3*t + 2*m**2*t*x - 2*m*t*x - 3*m*x wrt m. -48*m*t*x + 30*m*t + 4*t*x What is the first derivative of -12*a**2*m**2 - 2*a**2 - 3*a*m**3 - 9*a - 2*m**3 + 933 wrt a? -24*a*m**2 - 4*a - 3*m**3 - 9 Differentiate 97*h**3*n - 37*h**3 - h**2*n with respect to n. 97*h**3 - h**2 Find the third derivative of 95*t**4*w - t**4 + 2*t**2*w - 2*t**2 - t - 145 wrt t. 2280*t*w - 24*t What is the third derivative of -2*s**6 - 58*s**3 + 132*s**2 + 2*s? -240*s**3 - 348 Find the third derivative of 20*s**5 + 10*s**4 - 320*s**2 wrt s. 1200*s**2 + 240*s What is the second derivative of -10*h**4 - 20*h**2 - 1476*h wrt h? -120*h**2 - 40 What is the third derivative of -98*j*m*y**3 - 2*j*m*y**2 - j*m*y - j*y**3 - 2*m*y**3 - 177*m*y**2 - 2*m*y + y**3 wrt y? -588*j*m - 6*j - 12*m + 6 Find the first derivative of -18981*d - 6267. -18981 What is the third derivative of 6*f*y**5 - f*y**2 + 2*f*y + 2*y**5 - 2*y**4 + 51 wrt y? 360*f*y**2 + 120*y**2 - 48*y What is the derivative of 541*t**4 - t**3*v**3 + t**2 + 1662*v**3 wrt t? 2164*t**3 - 3*t**2*v**3 + 2*t Differentiate -79*d*w - 40*d*y - 4*d - 2*w*y + 3*w + 2*y with respect to w. -79*d - 2*y + 3 Find the second derivative of -3*b**2*j**2*w + b**2*w + 685*b*j**3*w + 6*b*j - b*w + 13*b + 4*j wrt j. -6*b**2*w + 4110*b*j*w What is the second derivative of 187*c**3*z**3 - c**3*z + 2 wrt z? 1122*c**3*z Find the second derivative of 31*d**4 - 9*d**2*g*y - 2*d*g*y - 55*d*y wrt d. 372*d**2 - 18*g*y Find the third derivative of -5687*l**3 + 11774*l**2. -34122 Find the first derivative of 365*l**2 - l - 885. 730*l - 1 Differentiate -13*n**3*t**2 + 77*n**3 + 3*n**2*t**2 + n*t**2 + 1 with respect to t. -26*n**3*t + 6*n**2*t + 2*n*t Find the third derivative of -1188*z**6 - 842*z**2 wrt z. -142560*z**3 Find the first derivative of -283*d**2 - 289. -566*d Find the second derivative of -28180*j**2 - 19878*j wrt j. -56360 Find the first derivative of 6*f**2 + 44*f + 936 wrt f. 12*f + 44 What is the derivative of -19*m**4 - 4*m**3 + 3507? -76*m**3 - 12*m**2 Find the second derivative of -3*b**3*r + 351*b**3 - b*r + 483*b - 2*r wrt b. -18*b*r + 2106*b Find the first derivative of -2*f**4 - 3*f**2*g*u**3 - 4*f**2*g*u + 104*g*u**3 + 2*g*u**2 wrt f. -8*f**3 - 6*f*g*u**3 - 8*f*g*u Find the third derivative of -102*h**3 - 974*h**2 wrt h. -612 What is the first derivative of 13*l**3*x + 2*l**3 + 24*l**2*x**2 + 819*l wrt x? 13*l**3 + 48*l**2*x What is the derivative of 2*s**2*w**2 + 102*s**2*w*x + 3*s**2*w - 2*s*w**2*x + 45*w**2 wrt x? 102*s**2*w - 2*s*w**2 What is the first derivative of -197*p - 85 wrt p? -197 Find the third derivative of 6*c*d**3*p - 341*c*d**2*p**2 - 6*d**4*p**2 + 4*d**4*p wrt d. 36*c*p - 144*d*p**2 + 96*d*p What is the first derivative of 2*h**2*x**3 - 5*h**2*x*z + 5*h*k*x**3 - 31*h*k*z - 3*k*x**3*z - k*x - 2 wrt z? -5*h**2*x - 31*h*k - 3*k*x**3 Differentiate 72*t**3 - 190. 216*t**2 What is the first derivative of -k**2*l**
{ "pile_set_name": "DM Mathematics" }
48 = -c + 2840 for c. -8 Solve 11*a + 16 = 7*a for a. -4 Solve 0 = -346*r + 337*r - 63 for r. -7 Solve 0 = -40*s + 33*s + 28 for s. 4 Solve 18*p = 25 + 11 for p. 2 Solve 43*o - 51*o - 8 = 0 for o. -1 Solve 7 = 2*v + 9 for v. -1 Solve -3*u + 3 + 0 = 0 for u. 1 Solve 325 = -38*h - 27*h for h. -5 Solve -3*c + 41 = 35 for c. 2 Solve 28 = 6*v + 16 for v. 2 Solve 0 = -38*b + 35 - 111 for b. -2 Solve -11*l + 9 = -20*l for l. -1 Solve 0 = 4*l - 7*l - 9 for l. -3 Solve 32 = -2*o + 22 for o. -5 Solve -22*j + 164 = 98 for j. 3 Solve -28 = 25*o - 39*o for o. 2 Solve -3*q - 2*q = -15 for q. 3 Solve 147 = -8*u - 13*u for u. -7 Solve -90*k + 160 + 470 = 0 for k. 7 Solve -a + 5 = -0 for a. 5 Solve -3*j = 11*j for j. 0 Solve u = 6 - 8 for u. -2 Solve -4*o = 6 - 26 for o. 5 Solve 5*g = -2 + 17 for g. 3 Solve -14*z + 5 = 33 for z. -2 Solve 0 = -13*b - 40 - 12 for b. -4 Solve 7*s = -109*s - 696 for s. -6 Solve 8*z + 18*z + 78 = 0 for z. -3 Solve 103*k = 261 - 1188 for k. -9 Solve 35*d - 2 - 33 = 0 for d. 1 Solve 292 = -43*n + 34 for n. -6 Solve -19*j = 17 + 40 for j. -3 Solve -6 + 50 = -11*o for o. -4 Solve 14*p + 48 = 22*p for p. 6 Solve 0 = 25*m - 57*m + 128 for m. 4 Solve 0 = 4*p - 5*p for p. 0 Solve 3 = 16*b - 17*b for b. -3 Solve -48*j - 95 = -29*j for j. -5 Solve 9*b - 24 = 3 for b. 3 Solve 26*d - 8 = 30*d for d. -2 Solve -3 = n + 2*n for n. -1 Solve -108 = 4*i - 96 for i. -3 Solve -110 = -43*s + 21*s for s. 5 Solve 789 = -19*j + 694 for j. -5 Solve 65*b - 66*b + 5 = 0 for b. 5 Solve 1265 = 5*d + 1255 for d. 2 Solve -33*d = -28*d + 15 for d. -3 Solve 16*z = -8*z for z. 0 Solve -124*j = -114*j for j. 0 Solve 475*s = 458*s - 102 for s. -6 Solve 42*k - 40*k - 8 = 0 for k. 4 Solve 0*r + 6*r - 12 = 0 for r. 2 Solve 24*c = 21*c - 9 for c. -3 Solve 5*d - 40 = -65 for d. -5 Solve 3*i = 17 - 32 for i. -5 Solve -18*c + 13*c = 10 for c. -2 Solve 83*b = 81*b + 6 for b. 3 Solve 43*w - 9 = 40*w for w. 3 Solve 430*w + 60 = 418*w for w. -5 Solve -11*j + 16 - 49 = 0 for j. -3 Solve 81 + 18 = -11*x for x. -9 Solve 182*u - 183*u = 1 for u. -1 Solve -112 = -11*u - 5*u for u. 7 Solve -45*v + 12 = -33*v for v. 1 Solve 0 = 28*s - 34*s + 18 for s. 3 Solve 15 = -17*q - 70 for q. -5 Solve 19 = -4*t - 1 for t. -5 Solve -602 + 610 = -i for i. -8 Solve 8*f - 5 = -37 for f. -4 Solve 5*m = 6*m + 3 for m. -3 Solve 0 = -81*l + 37*l - 88 for l. -2 Solve 15*s = 24*s + 45 for s. -5 Solve 15*p = 12*p + 12 for p. 4 Solve 18*b = 4*b - 56 for b. -4 Solve -5*h + 0 + 25 = 0 for h. 5 Solve 0 = -86*d - 71 - 187 for d. -3 Solve -5*m + 24 = 19 for m. 1 Solve 0 = -3*i + 6 - 21 for i. -5 Solve -997 = 134*r + 343 for r. -10 Solve -31*d + 38*d + 56 = 0 for d. -8 Solve -466 - 6 = 118*f for f. -4 Solve 335*r - 15 = 332*r for r. 5 Solve k - 6 = -1 for k. 5 Solve 157*p + 165 = -463 for p. -4 Solve -34 = -j - 37 for j. -3 Solve 37*f + 0*f = 0 for f. 0 Solve -58 = -2*o - 54 for o. 2 Solve -31*h = 4*h + 385 for h. -11 Solve 0 = 17*q - 9 - 76 for q. 5 Solve -55 = 3*j - 58 for j. 1 Solve 25*f - 12 = 29*f for f. -3 Solve 0 = 170*r - 187*r - 51 for r. -3 Solve -9*v - 86 = -41 for v. -5 Solve 0 = 66*o - 67*o - 4 for o. -4 Solve 0 = 8*o + 139 - 203 for o. 8 Solve 0 = -10*w + 4*w for w. 0 Solve -10*y + 14 = -16 for y. 3 Solve 0 = 6*h - 3192 + 3240 for h. -8 Solve 5*o - 52 + 47 = 0 for o. 1 Solve -108 = 52*i - 64*i for i. 9 Solve 46*n + 0*n = -322 for n. -7 Solve 0*d = 4*d + 12 for d. -3 Solve -19*o + 210 = -49*o for o. -7 Solve -15*u = -51*u - 16*u for u. 0 Solve -35*m - 35*m + 280 = 0 for m. 4 Solve 0 = -2*c + 3*c - 3 for c. 3 Solve -2*x = 6 - 2 for x. -2 Solve -98 = 12*c - 146 for c. 4 Solve 42 = 230*l - 236*l for l. -7 Solve 0 = 75*m - 81*m + 30 for m. 5 Solve 11 = 21*k + 32 for k. -1 Solve -183 = -5*b - 56*b for b. 3 Solve -8*z - 42 = -z for z. -6 Solve 80*w + 44 = 91*w for w. 4 Solve 8*w + w = 27 for w. 3 Solve 4*z = -20*z + 24 for z. 1 Solve -6*r - 5 = -7*r for r. 5 Solve 0 = -20*r + 16*r + 32 for r. 8 Solve 7*v - 14 - 21 = 0 for v. 5 Solve -9*k = -22 - 14 for k. 4 Solve -5*n - 90 = -75 for n. -3 Solve -6 + 2 = 4*u for u. -1 Solve -33*a + 152 = -52*a for a. -8 Solve -34*c + 156 - 54 = 0 for c. 3 Solve 0 = 63*d - 66*d - 12 for d. -4 Solve 16*b + 12 = 13*b for b. -4 Solve -u - 6*u = -4*u for u. 0 Solve -266*i + 270*i = -12 for i. -3 Solve 159*q + 12 = 147*q for q. -1 Solve -33*b - 17 + 248 = 0 for b. 7 Solve 17*g - 180 = 35*g for g. -10 Solve 0 = -17*v - 23 - 28 for v. -3 Solve -16 = -33*x + 37*x for x. -4 Solve 11*j - 38*j = 0 for j. 0 Solve -13*h - 372 = -229 for h. -11 Solve 89*g - 105*g = -112 for g. 7 Solve 19 - 31 = 3*v for v. -4 Solve -374 = -74*o + 144 for o. 7 Solve 138 + 107 = -35*a for a. -7 Solve -2*f - 30 = 8*f for f. -3 Solve r = 4 - 6 for r. -2 Solve 7*d + 22 - 8 = 0 for d. -2 Solve -2*z = 30*z - 224 for z. 7 Solve -72*d - 403 = 245 for d. -9 Solve -34*a + 28*a = 24 for a. -4 Solve 8 = 35*c - 31*c for c. 2 Solve 0 = 200*s - 194*s + 18 for s. -3 Solve -11672 = 5*i - 11622 for i. -10 Solve -2*v - 167 = -169 for v. 1 Solve 15*u = 9*u + 18 for u. 3 Solve 4*h = 11*h - 7 for h. 1 Solve 21*r + 25*r = -230 for r. -5 Solve -17 = 9*q - 26*q for q. 1 Solve 65*r = 70*r - 15 for r. 3 Solve -20*x = -47 + 27 for x. 1 Solve 5*t = 1 + 4 for t. 1 Solve -15*g + 21 = -54 for g. 5 Solve -667*u + 671*u = 28 for u. 7 Solve 0 = -24*q + 56 - 176 for q. -5 Solve 7*x + 9 = 4*x for x. -3 Solve -2*k = k for k. 0 Solve 383 - 386 = -3*l for l. 1 Solve 13 = 4*l - 17*l for l. -1 Solve 221*z - 120*z = -202 for z. -2 Solve -3*v = -349 + 325 for v. 8 Solve 0 = 21*m - 100 - 26 for m. 6 Solve -123*w - 8 = -121*w for w. -4 Solve 2*p + 5 = -3*p for p. -1 Solve 37*n - 32*n - 30 = 0 for n. 6 Solve 0 = -26*b + 25*b + 9 for b. 9 Solve -816*f + 815*f - 7 = 0 for f. -7 Solve 9*i - 62 + 17 = 0 for i. 5 Solve -4 = -5*h + 6 for h. 2 Solve 0 = 11*y - 3 + 3 for y. 0 Solve -61 = -8*z - 29 for z. 4 Solve -5*l + 130 = 120 for l. 2 Solve 21*a - 24*a = 12 for a. -4 Solve -18*u = -0*u + 90 for u. -5 Solve 85*s - 15 = 80*s for s. 3 Solve -s + 18 = 20 for s. -2 Solve 10*z + 27 = -3 for z. -3 Solve -19*z + 6*z = 91 for z. -7 Solve 38*f - 72 = 26*f for f. 6 Solve 24 = -4*f - 0*f for f. -6 Solve 2*p - 455 = -447 for p. 4 Solve -57*d + 15*d = -168 for d. 4 Solve -31*r = 3*r for r. 0 Solve -15*x = -11*x for x. 0 Solve -11*c - 14*c + 50 = 0 for c. 2 Solve 0 = 2*u - 97 + 95 for u. 1 Solve -2*y + 4 - 12 = 0 for y. -4 Solve -10*p - 27*p - 111 = 0 for p. -3 Solve -41 = 22*c - 63 for c. 1 Solve -767*q - 88 = -775*q for q. 11 Solve 5*j - 2 - 3 = 0 for j. 1 Solve -4*r + 5*r = -4*r for r. 0 Solve 5*u = 10*u for u. 0 Solve 16 = -y - 3*y for y. -4 Solve 28 = -1014*l + 1010*l for l. -7 Solve -385 = -4*o - 377 for o. 2 Solve u + 40 = 45 for u. 5 Solve 43*g = 38*g for g. 0 Solve -8*r = -11*r - 9 for r. -3 Solve -10*z + z + 45 = 0 for z. 5 Solve 10*d = -5*d for d. 0 Solve 0 = -23*i - 45 - 47 for i. -4 Solve -21*j = -4*j - 51 for j. 3 Solve -265*f + 266*f = 4 for f. 4 Solve g + 57 - 58 = 0 for g. 1 Solve -27 = -22*a - 5*a for a. 1 Solve 0 = -9*z + 15*z + 12 for z. -2 Solve 0 = 19*n + 10 + 9 for n. -1 Solve -10*a - 59*a = 69 for a. -1 Solve 0 = 102*c - 131*c - 145 for c. -5 Solve -24*a + 72 = 48 for a. 1 Solve -45 = -74*f + 59*f for f. 3 Solve 2 = 3*u - 7 for u. 3 Solve 4 = 2*x + 12 for x. -4 Solve -14*q = 60 - 32 for q. -2 Solve 14*l = 9*l + 3*l for l. 0 Solve 33*g - 38*g - 20 = 0 for g. -4 Solve -24 + 24 = -10*m for m. 0 Solve -33 = -12*o + 3 for o. 3 Solve 112 + 94 = 103*f for f. 2 Solve 33*l - 38*l = 20 for l. -4 Solve 5*i = 2 - 22 for i. -4 Solve -15*b + 21 = 21 for b. 0 Solve -56 = -8*j + 22*j for j. -4 Solve 136*s = 125*s + 66 for s. 6 Solve 2*l + 45 = -13*l for l. -3 Solve 15 = -60*c + 55*c for c. -3 Solve 0 = -7*i + 9*i - 8 for i. 4 Solve 66 - 108 = 7*r for r. -6 Solve -69*b - 135 - 3 = 0 for b. -2 Solve -4*t = -19 - 1 for t. 5 Solve -22*d + 8 = -24*d for d. -4 Solve -40*q + 45*q - 15 = 0 for q. 3 Solve 6*o + 307 = 313 for o. 1 Solve 0 = 34*g - 33*g - 1 for g. 1 Solve -10*i - 4903 = -4943 for i. 4 Solve 0 = 24*i - i for i. 0 Solve -42*n - 1 - 251 = 0 for n. -6 Solve 34 + 35 = -23*c for c. -3 Solve -2637*z = -2623*z - 70 for z. 5 Solve -5 = 5*k - 10*k for k. 1 Solve -22*z + 440 = 484 for z. -2 Solve 7*r = -103 + 75 for r. -4 Solve -31*m = -14*m - 17 for m. 1 Solve 0 =
{ "pile_set_name": "DM Mathematics" }
rt 90, 6, -3. -3, 6, 90 Sort -0.1, -1.18, 0.7 in decreasing order. 0.7, -0.1, -1.18 Put 73, 11, 3 in descending order. 73, 11, 3 Sort 1, 0, -1, -2, 11 in decreasing order. 11, 1, 0, -1, -2 Put 29, 3, 0 in decreasing order. 29, 3, 0 Sort 5, -5, 2/43. -5, 2/43, 5 Put -4, 3, -30 in increasing order. -30, -4, 3 Put 1541, 5, -4, 2, 3 in ascending order. -4, 2, 3, 5, 1541 Put -2/9, 2/3, -12, 0.1, 19/3 in increasing order. -12, -2/9, 0.1, 2/3, 19/3 Put 8/3, 0.1, 1/3 in descending order. 8/3, 1/3, 0.1 Sort 0, 3, -2, -10, -5 in descending order. 3, 0, -2, -5, -10 Sort -4, 1489, 2, 4 in ascending order. -4, 2, 4, 1489 Sort 2, -4, 16, -25 in increasing order. -25, -4, 2, 16 Put -2, 2, -15, 5 in ascending order. -15, -2, 2, 5 Put -2/41, 6/13, 2/7, -1/9 in ascending order. -1/9, -2/41, 2/7, 6/13 Sort -80, 1, 16 in ascending order. -80, 1, 16 Sort 1, -4, -7, -31 in descending order. 1, -4, -7, -31 Sort 1, -4, 0, 4761 in increasing order. -4, 0, 1, 4761 Put 2, -5, 5, -26, 3 in decreasing order. 5, 3, 2, -5, -26 Sort 1/2, -3, 8, -2/11 in descending order. 8, 1/2, -2/11, -3 Sort -4, 7, 5, -1 in ascending order. -4, -1, 5, 7 Sort 4, -395, -2, -3. -395, -3, -2, 4 Put -1/8, -40/7, 1/3, -2/9 in increasing order. -40/7, -2/9, -1/8, 1/3 Put 9, 0, -2, 3, -5 in increasing order. -5, -2, 0, 3, 9 Sort 5, 1, 101. 1, 5, 101 Put 3/2, 3/13, -3 in descending order. 3/2, 3/13, -3 Sort 0, 38, 3 in increasing order. 0, 3, 38 Put 5, 2, 12 in descending order. 12, 5, 2 Put 1, -3/4, 0.4, -1, -9 in descending order. 1, 0.4, -3/4, -1, -9 Put -3, 25, 0, -4 in descending order. 25, 0, -3, -4 Sort 0.3, -0.5, -0.1, -3/5, 3/7. -3/5, -0.5, -0.1, 0.3, 3/7 Sort 2/7, -1/16, 0.2, -2 in ascending order. -2, -1/16, 0.2, 2/7 Sort 0.1, 27, 1/3, 0, -0.1 in decreasing order. 27, 1/3, 0.1, 0, -0.1 Sort 40, -0.04, -33 in decreasing order. 40, -0.04, -33 Put 1, -152, 2 in descending order. 2, 1, -152 Put -1, 1/2, -20, 5 in descending order. 5, 1/2, -1, -20 Sort 4, 21, -28, 2 in ascending order. -28, 2, 4, 21 Put 22, -5, -21 in increasing order. -21, -5, 22 Sort -2, 28, 3 in descending order. 28, 3, -2 Put 5, 9, 4, -16, 1 in descending order. 9, 5, 4, 1, -16 Sort -0.5, 1/4, 0.6 in increasing order. -0.5, 1/4, 0.6 Sort -111, 0, 3, 1, 5 in decreasing order. 5, 3, 1, 0, -111 Put -5, -1, -20, 3 in increasing order. -20, -5, -1, 3 Sort -4, 4, -26. -26, -4, 4 Sort -1/9, 1/17, 5. -1/9, 1/17, 5 Put -10, 0, -2 in descending order. 0, -2, -10 Put 4, 0.4, 0.9 in decreasing order. 4, 0.9, 0.4 Put -2/5, 1, -1/8, -5 in decreasing order. 1, -1/8, -2/5, -5 Put -1, 16, -2 in decreasing order. 16, -1, -2 Put 23, -1, -3, 9, 0 in decreasing order. 23, 9, 0, -1, -3 Sort 1865, 0, -3 in ascending order. -3, 0, 1865 Sort 0, -3/2, -0.28. -3/2, -0.28, 0 Sort 3, -1, 202. -1, 3, 202 Sort 1, -0.59, 0, -0.44 in descending order. 1, 0, -0.44, -0.59 Sort 75, -0.2, 18, -3 in increasing order. -3, -0.2, 18, 75 Sort 123, 2, -1 in ascending order. -1, 2, 123 Put 7, 6, 0, 4, -3 in decreasing order. 7, 6, 4, 0, -3 Sort -123, -5, 1.8 in descending order. 1.8, -5, -123 Sort 6, 14, -2, 0, -3 in increasing order. -3, -2, 0, 6, 14 Put -4, 5, -5, 12 in descending order. 12, 5, -4, -5 Put 1/3, 2, -0.02, -11, -5 in increasing order. -11, -5, -0.02, 1/3, 2 Sort -5, 99, -3. -5, -3, 99 Put 14, 1/2, -0.3, 3/5, 5 in increasing order. -0.3, 1/2, 3/5, 5, 14 Sort -0.2, -2/17, -1/2, 3/22, -0.04 in descending order. 3/22, -0.04, -2/17, -0.2, -1/2 Put 0.1, 1, -5/49 in ascending order. -5/49, 0.1, 1 Sort -4, 1, 5, 271 in decreasing order. 271, 5, 1, -4 Put 1.3, 1/7, -3, 2/3 in descending order. 1.3, 2/3, 1/7, -3 Put -93, -4/3, 2 in descending order. 2, -4/3, -93 Put 4, -5, -2, 48 in descending order. 48, 4, -2, -5 Put 3, -8, 5 in ascending order. -8, 3, 5 Sort 0, -5, -1, 2, 105 in increasing order. -5, -1, 0, 2, 105 Sort 3, 4, 15, -10. -10, 3, 4, 15 Put 7, 6, -25 in decreasing order. 7, 6, -25 Sort 11/15, -0.02, -4, 1/2. -4, -0.02, 1/2, 11/15 Sort -50, 0.03, 0.1, 4. -50, 0.03, 0.1, 4 Sort -3, 2, -1, 416 in decreasing order. 416, 2, -1, -3 Sort -5, -5828, 3. -5828, -5, 3 Put -2.8, -4, 0.1, 5, 4 in descending order. 5, 4, 0.1, -2.8, -4 Put 2, -3, 9, 3, 7 in ascending order. -3, 2, 3, 7, 9 Put 2, -3/5, -0.093, 5, -0.2 in decreasing order. 5, 2, -0.093, -0.2, -3/5 Put -13, -3, -5, -1 in increasing order. -13, -5, -3, -1 Sort 0, -23, 24, -5 in decreasing order. 24, 0, -5, -23 Sort -5, 5, 468 in increasing order. -5, 5, 468 Sort -1/2, -3/34, -2 in increasing order. -2, -1/2, -3/34 Sort -0.1, -0.06, 2/107, -1/6 in decreasing order. 2/107, -0.06, -0.1, -1/6 Sort 4, 1, -6 in decreasing order. 4, 1, -6 Sort 0.4, 10, 27/5, 5. 0.4, 5, 27/5, 10 Put 51, 1, -9, 4 in decreasing order. 51, 4, 1, -9 Sort -52, -5, -2/15. -52, -5, -2/15 Sort 0, 0.3, -5, 13 in increasing order. -5, 0, 0.3, 13 Put 0, 3, -1 in decreasing order. 3, 0, -1 Sort 5, -2, 22 in descending order. 22, 5, -2 Sort 0, 7, 1, -5 in descending order. 7, 1, 0, -5 Sort -1/16, -1, -0.3, 6, -0.5. -1, -0.5, -0.3, -1/16, 6 Sort 3, 2, 22, -3, -8 in decreasing order. 22, 3, 2, -3, -8 Sort -28, -5, 2, 4, -20. -28, -20, -5, 2, 4 Sort -9, 0.031, 1/5, 3 in ascending order. -9, 0.031, 1/5, 3 Sort -1/2, 0.7, 97. -1/2, 0.7, 97 Put 3, 2, 1/8 in decreasing order. 3, 2, 1/8 Sort 5/4, 6, 1, 0, 0.02. 0, 0.02, 1, 5/4, 6 Sort 2, 14, -4 in increasing order. -4, 2, 14 Sort -5, 5, 17, -20 in ascending order. -20, -5, 5, 17 Sort -0.1, -0.3, -6, -1, -56 in increasing order. -56, -6, -1, -0.3, -0.1 Put -120, -2/9, -5, -0.1 in decreasing order. -0.1, -2/9, -5, -120 Put 417, -0.2, 2, -4 in increasing order. -4, -0.2, 2, 417 Sort -7, 23, 2. -7, 2, 23 Put 16, -1, 0, 2 in descending order. 16, 2, 0, -1 Sort 2/11, -0.06, 3/8, -0.5 in descending order. 3/8, 2/11, -0.06, -0.5 Put 5, 0, 1.2, 1 in increasing order. 0, 1, 1.2, 5 Put 0.5, -2, 3/2, -0.7 in increasing order. -2, -0.7, 0.5, 3/2 Sort 0.1, 4, 38/3. 0.1, 4, 38/3 Sort -1/5, -0.4, -250.6 in increasing order. -250.6, -0.4, -1/5 Sort 3, 5, 1, -11, -4. -11, -4, 1, 3, 5 Put -4, -1/5, 50/13 in ascending order. -4, -1/5, 50/13 Sort 99, -2, 4, 3. -2, 3, 4, 99 Put -3, -2, 1, -15 in decreasing order. 1, -2, -3, -15 Put -4, 2, 14, 1 in increasing order. -4, 1, 2, 14 Put 1, -2, -64, 6, 3 in decreasing order. 6, 3, 1, -2, -64 Sort 4/7, 381, -0.4. -0.4, 4/7, 381 Sort -1/3, 4953, -1 in descending order. 4953, -1/3, -1 Put 4, 7, -1, -34, 3 in decreasing order. 7, 4, 3, -1, -34 Sort 6, -45, 11 in decreasing order. 11, 6, -45 Sort -0.5, -0.1, -176, 1 in descending order. 1, -0.1, -0.5, -176 Sort 48, -45, -5. -45, -5, 48 Put 4, 12, 3 in decreasing order. 12, 4, 3 Put 3, -2, -13, -3 in increasing order. -13, -3, -2, 3 Put 2, 266, -3 in decreasing order. 266, 2, -3 Sort -6, -5, -3. -6, -5, -3 Sort 2, -1/13, -0.05, 0.2 in decreasing order. 2, 0.2, -0.05, -1/13 Sort 1, 3, 0, -2, 2. -2, 0, 1, 2, 3 Put 0.5, -1/7, -14, 0 in increasing order. -14, -1/7, 0, 0.5 Put -1/3, 434, 5 in increasing order. -1/3, 5, 434 Put -329, 1, 2 in increasing order. -329, 1, 2 Sort 2, -2, -1 in increasing order. -2, -1, 2 Put 5, 4, -5 in descending order. 5, 4, -5 Put 2/13, 0.2, -0.37 in descending order. 0.2, 2/13, -0.37 Sort -299, -1, 2/7 in decreasing order. 2/7, -1, -299 Sort -22, -5, -4 in descending order. -4, -5, -22 Put -4, -5, 0.1, 1, 2/15 in decreasing order. 1, 2/15, 0.1, -4, -5 Put 1, -11, 3, -1 in increasing order. -11, -1, 1, 3 Sort -0.5, -0.2, 0.1, 0 in ascending order. -0.5, -0.2, 0, 0.1 Sort -1, 1.47, -5, 3/5, -2/9 in descending order. 1.47, 3/5, -2/9, -1, -5 Sort -4, -9, 0, 20. -9, -4, 0, 20 Sort -3, 1490, 2 in ascending order. -3, 2, 1490 Sort 1, -3, 630, -2/5, -2 in descending order. 630, 1, -2/5, -2, -3 Put 1/13, -0.03, 0.4, -2 in ascending order. -2, -0.03, 1/13, 0.4 Put -3/5, -15, 3, 0.05 in descending order. 3, 0.05, -3/5, -15 Put 1, -48, 2 in descending order. 2, 1, -48 Sort 1, 1/5, 4, -1/3 in decreasing order. 4, 1, 1/5, -1/3 Sort 4, -264, 1 in decreasing order. 4, 1, -264 Put 4, -2, 0, -549, -1 in ascending order. -549, -2, -1, 0, 4 Sort -4, 0.4, 5/71. -4, 5/71, 0.4 Sort 3, 4/5, -167/2, 1/3 in ascending order. -167/2, 1/3, 4/5, 3 Sort -152, 2, -3, -5 in ascending order. -152, -5, -3, 2 Sort -4, 3, -11, 0.4 in ascending order. -11, -4, 0.4, 3 Put 2, 4, 0.4, -5.4 in descending order. 4, 2, 0.4, -5.4 Put -4, 0.
{ "pile_set_name": "DM Mathematics" }
order. o, 0, -1074 Suppose -48*m + 47*m - 3*q = 30, -10 = 2*m + q. Let j be (-1)/((-3)/1)*3. Sort j, m, -3, -37 in increasing order. -37, -3, m, j Let x(o) = 1899*o + 5. Let f be x(0). Sort -102, f, -4, 2, 4 in descending order. f, 4, 2, -4, -102 Let f(s) = s**3 - 14*s**2 - 576*s - 4. Let g be f(32). Put 4, 5, -21, g in decreasing order. 5, 4, g, -21 Let t = 27 - 27. Let z = 309.3 + -309.19. Put t, 2/5, z in descending order. 2/5, z, t Suppose -7*z = -2*z + 50. Let n be ((-54)/(-45))/((-2)/z). Let w = 17360 - 17363. Put n, w, 1 in descending order. n, 1, w Let m(d) = -16*d + 78. Let w be m(5). Let a(z) = -z**2 - 6*z - 1. Let p be a(-5). Let c be ((-2)/(-3))/(p/18). Put w, 2, c, 1 in decreasing order. c, 2, 1, w Let t = -157.5 - -157.2. Put -2/5, -0.04, 2, t, 0.1 in descending order. 2, 0.1, -0.04, t, -2/5 Let z = 10171 - 10176. Put z, -28, -3 in ascending order. -28, z, -3 Let i be -4*(-1 + 0) - (-357 + 363). Let a = -137.3 + 132. Let d = a - -5. Sort d, i, 5/3 in descending order. 5/3, d, i Let s = -1373 + 1651.2. Let z = -278 + s. Let h = -0.3 + 0.7. Sort -0.5, h, z in decreasing order. h, z, -0.5 Let n be -2 + 5/1 + -6. Let y be (342/(-27) + -3 + 3)/(8/(-12)). Sort -4, y, n in descending order. y, n, -4 Suppose r + 0 = -u - 6, 5*r = -4*u - 25. Let x(y) = -y**2 + 8*y. Let i be x(7). Suppose 0 = n + 5 - i. Put 35, r, 5, n in decreasing order. 35, 5, n, r Let s be (-5)/(-3)*3 - -1. Suppose -91 = 23*r + 1. Put 5, r, s in descending order. s, 5, r Let g = 16068 + -16069.11. Put -8, g, -2 in ascending order. -8, -2, g Let n = -1/40 + -113/280. Let w = -3 - -7. Let l = w + -8. Put n, l, 4 in increasing order. l, n, 4 Suppose 24*z = -96 + 191 - 167. Sort 24, 8, 5, 1, z in ascending order. z, 1, 5, 8, 24 Let n = 2.6444 - -0.3556. Let k = -57 - -287/5. Let z = -2.5 + -0.5. Sort z, n, k, 4 in ascending order. z, k, n, 4 Let u(g) = -g**3 - 5*g**2 + 83*g + 533. Let m be u(-8). Let t = 73 + -10. Let h = m - t. Sort 1, h, 4 in decreasing order. 4, 1, h Suppose -240 + 148 = 46*t. Let s = 374 - 371. Let c = 20 - 14. Sort t, c, s, -1 in decreasing order. c, s, -1, t Let k(q) = -q**2 + 25*q - 21. Let n be k(24). Let z = -1.03 + -70.97. Let s = z + 73. Put 2, n, 5, s in decreasing order. 5, n, 2, s Let g = 4498/5 + -900. Let d be (4/(-2))/(4/(-3)). Let o be (9/(-12) - -1)/1. Put g, d, o in decreasing order. d, o, g Let r be (-12)/174 + 8473/26564. Let f = -0.9 - -1. Sort f, 1/3, r, 5 in descending order. 5, 1/3, r, f Let x = -0.1 + 5.1. Let m(b) = -4*b**2 - 7*b + 40. Let a be m(7). Let h = 201 + a. Put h, x, 2 in decreasing order. x, 2, h Suppose 321*q - 91*q = -230. Put 12, -5, -2, -3, q in decreasing order. 12, q, -2, -3, -5 Let i = 793 - 801. Suppose 3*h = -h - q + 17, -5*q = -5*h - 10. Sort h, i, -1, 0 in decreasing order. h, 0, -1, i Let g be 26/7 + (-6)/(-21). Let n = 6837 - 6832. Sort -7, g, -4, n in ascending order. -7, -4, g, n Let k = -74 - -72. Let d = 33/2 - 18. Put 4, -5/6, k, d in decreasing order. 4, -5/6, d, k Let a(y) = -2*y**3 - 18*y**2 - 12*y - 103. Let n be a(-9). Put -6, -3, 2, -4, n in ascending order. -6, -4, -3, 2, n Let l be (-64)/12*(-9)/6. Suppose -3 + l = -s, -37 = -4*j + 5*s. Let h be (-3 + (39 - 0))/(-1). Put h, 1, j in decreasing order. j, 1, h Let y = 243 - 241. Let a be -3*-3*y/6. Put 0, 1/16, 4, a in descending order. 4, a, 1/16, 0 Let b be (1*2)/(-35 + 4494/126). Sort 100, -3, b, -5, 5 in descending order. 100, 5, b, -3, -5 Let w(l) be the second derivative of 5/12*l**4 + 0 - 7/6*l**3 - 1/20*l**5 + 40*l + 0*l**2. Let g be w(3). Sort 4, g, -9. -9, g, 4 Suppose c - 2*z - 53 = 0, -13*c - 26 = -14*c + 5*z. Put c, -1, -0.6 in descending order. c, -0.6, -1 Let v be 135/18*(-32)/48. Sort v, 5, -124, 4, 1 in ascending order. -124, v, 1, 4, 5 Suppose 101 = 3*d - t, -4*t + 5 = -5*t. Suppose 0 = d*g - 26*g + 12. Sort 8, -4, g. -4, g, 8 Let d = -2572 + 2574. Put -5, -3, 1, d, -8 in descending order. d, 1, -3, -5, -8 Let c = 1.6 + -5.6. Let z = -1556 + 1559. Put z, c, 2/5, -2 in increasing order. c, -2, 2/5, z Let k = -2.08369 + 0.00369. Put -0.3, k, -5 in descending order. -0.3, k, -5 Let q = -0.2 - -0.4. Let o = 1193.535 + -1192. Let y = o - 2.035. Sort y, 2, 0.3, q. y, q, 0.3, 2 Let c(r) = -9*r - 113. Let v be c(-13). Sort 0, -340, v in increasing order. -340, 0, v Let o = -3/28 - -37/84. Let v(n) = 5*n + 5. Let f be v(-1). Let t(h) = -h - 5. Let q be t(f). Sort -2/5, o, q in ascending order. q, -2/5, o Suppose -13*g + 118*g - 285 = 10*g. Sort 0, g, -1, -4, -31 in descending order. g, 0, -1, -4, -31 Let y be 8/(-1) - -3 - (-4 - -4). Sort 5, 39, 2, y, 1. y, 1, 2, 5, 39 Let d be (-15 - -14)*(-12)/1. Let l be 7/(-4) - ((-51)/d - -4). Let m = 203 + -208. Sort 1/10, l, m in decreasing order. 1/10, l, m Let y = 0.28 + -0.58. Let q = -2.98 - -4.98. Sort y, 0.4, 0.2, q in increasing order. y, 0.2, 0.4, q Suppose -2*v - h = -5*v + 91, 4*v - 130 = -3*h. Suppose 3*c - 19 = -v. Put 5, c, 29 in descending order. 29, 5, c Let l = 0.27424 - 0.07424. Put -3/7, -0.3, 4, l in decreasing order. 4, l, -0.3, -3/7 Let h = -3134 - -3134. Sort h, -13, -1/4, 0.3 in decreasing order. 0.3, h, -1/4, -13 Let b = 5378 + -5377.5. Put 1, -2, b, -3/5, 5/2 in ascending order. -2, -3/5, b, 1, 5/2 Let n = 8438.5 + -8439. Put 6.1, -5, 3/4, n, -0.1 in descending order. 6.1, 3/4, -0.1, n, -5 Suppose 5*h = -2*t - 73, t - 2*h + 55 = 5. Let y = 482/11 + t. Sort y, 3/4, 0.4, -4 in increasing order. -4, y, 0.4, 3/4 Suppose 70 = 15*v - 50. Let s(h) = 117*h - 2. Let b be s(0). Sort 5, v, b in decreasing order. v, 5, b Suppose -4*f - 7 = -2*l + 5, 0 = l - f - 4. Let v(y) = 3*y**2 - 23*y + 38. Let n be v(2). Let q be 0/((2 - 1)*1). Put n, l, q in descending order. n, l, q Let k = -301/30 - -65/6. Let p be 6/(-5)*(14/(-4))/(-7). Sort -0.5, k, -4, p in descending order. k, -0.5, p, -4 Suppose -62*h - 226 + 105 - 251 = 0. Put 1, h, 7, 2 in descending order. 7, 2, 1, h Let v(m) = -m**3 - 9*m**2 - 5*m - 13. Let q be v(-12). Let x = q + -482. Put x, 1, 2 in increasing order. x, 1, 2 Let s be (-6)/5140*45/(-18)*2. Sort -2, -0.5, s in increasing order. -2, -0.5, s Let i = -5.19 - -5.59. Put i, -345, -2/7, 5 in increasing order. -345, -2/7, i, 5 Suppose -5*k = 2*c + 19, -3*k = 2*c + 4 + 5. Suppose -6 + 16 = -5*t. Sort k, 1, t, -1 in increasing order. k, t, -1, 1 Let c be 15/(3 - -2) + (-5 - (-21)/(-7)). Let q(s) be the first derivative of -s**3/3 - 2*s**2 + 2*s + 1. Let a be q(c). Put a, -1, 0 in increasing order. a, -1, 0 Let t = 0.6833 - 1.6833. Put t, 149, -0.03 in ascending order. t, -0.03, 149 Let u = 62.1 + -62. Let s = -49/68 - -8/17. Put u, s, -1, -2 in ascending order. -2, -1, s, u Suppose 4*b - 5*d = 32, 0 = 7*d - 2*d + 20. Suppose 4*s - 2*k = 42, -b*k = -3*s - 5*k + 28. Sort -2, -0.5, -0.4, s. -2, -0.5, -0.4, s Let f = 147 + -145. Let t(l) = l + 7. Let w be t(4). Put w, f, -1, -3 in decreasing order. w, f, -1, -3 Let g be (21 - (-3000)/(-144))*8/18*-3. Sort 2/5, 15.3, 6, 0, g in decreasing order. 15.3, 6, 2/5, 0, g Let h = -0.04 + 0.44. Let a = -28554 + 28515. Put -3/2, h, -0.5, a in ascending order. a, -3/2, -0.5, h Suppose 5*p + 4*p = 12*p + p. Let q = -12 - -86/7. Let i = -64 - -63.5. Put 5, p, q, i in increasing order. i, p, q, 5 Suppose -1923*d - 4 = n - 1919*d, -d = 5*n - 18. Sort 3, 1, 28, -3, n in decreasing order. 28, n, 3, 1, -3 Suppose -22 - 20 = -6*q. Let v be ((-3)/6)/(4/(160/(-12))). Let g be ((-32)/48)/((-1)/6). Sort q, v, g in increasing order. v, g, q Let h = 18501 + -18496. Put 2, -238, h in increasing order. -238, 2, h Let l = -2675 + 2674. Put -4, 0, l, -7 in descending order. 0, l, -4, -7 Let x = 5493 - 5493. Sort -8, -5, 3, -2, x in increasing order. -8, -5, -2, x, 3 Let r(k) = -k**3 + 12*k**2 - 3*k + 18. Let z be r(11). Let f = z + -124. Suppose 2 = -4*m - 18. Sort f, 0, m in ascending order. f, m, 0 Let x = 0 - -4. Let t = 6 + -8. Let f = 11842 - 11847. Sort t, x, f, 3 in decreasing order. x, 3, t, f Let i = -115.4 + 117.4. Sort -6, -0.3, i, 0, -1/10 in ascending order. -6, -0.3, -1/10, 0, i Let b be (2 - (-98)/(-2))/(5/(-5)). Let p = -44 + b. Let y(j) = -2*j**2 + 3*j - 1. Let m be y(p). Sort -3, 0, m. m, -3, 0 Let v be 2/(-9) - (-7)/18. Let d(i) = -i**3 - 2*i**2 + 2*i + 1. Let k be d(-3). Let j = 10610 + -10612. Put j, k, 5, v in decreasing order. 5,
{ "pile_set_name": "DM Mathematics" }
5149, 15027, 14851, 14609? 14289 What comes next: 231414544, 462829090, 694243636, 925658182? 1157072728 What is next in 253551, 1014236, 2282057, 4057014? 6339107 What is the next term in -5916692, -11833450, -17750208, -23666966? -29583724 What is the next term in 82605, 166383, 250147, 333891, 417609? 501295 What is the next term in 1760, 4782, 7808, 10838, 13872, 16910? 19952 What is the next term in 4190, 5366, 6542? 7718 What is the next term in -110650951, -221301904, -331952857, -442603810, -553254763? -663905716 What comes next: 5826481, 23305856, 52438147, 93223354, 145661477? 209752516 What is the next term in -10842, -85959, -289840, -686865, -1341414? -2317867 What comes next: 561499275, 561499274, 561499273? 561499272 What is next in 16996, 33951, 50824, 67573, 84156, 100531? 116656 What is the next term in -23089940, -46179880, -69269820, -92359760? -115449700 What comes next: 4992, 8720, 12448, 16176? 19904 What is next in -23937207, -23937210, -23937215, -23937222, -23937231? -23937242 What comes next: -7647, -14436, -19447, -21792, -20583? -14932 What is the next term in -885444, -885455, -885466, -885477? -885488 What is the next term in -13213, -105752, -356961, -846184, -1652765, -2856048, -4535377? -6770096 What is next in 12076191, 24152381, 36228571, 48304761, 60380951? 72457141 What is the next term in 227710, 455443, 683210, 911023, 1138894? 1366835 What is next in 147033, 292749, 438465, 584181? 729897 What comes next: 4567, 25492, 82287, 192886, 375223, 647232, 1026847? 1532002 What is the next term in -558, -1105, -1638, -2175, -2734, -3333, -3990, -4723? -5550 What is next in -9943655, -9943653, -9943651, -9943649, -9943647? -9943645 What is the next term in -10563, -20379, -29461, -37827, -45495, -52483? -58809 What comes next: 8928222, 8928170, 8928118? 8928066 What comes next: -31727, -39591, -47461, -55337, -63219? -71107 What is next in -898979, -1797940, -2696901, -3595862, -4494823? -5393784 What is the next term in -6876, -13109, -18724, -23721, -28100? -31861 What is next in 27588, 14365, -7680, -38553, -78260, -126807? -184200 What is next in 309886, 310924, 311962, 313000? 314038 What comes next: -1419696, -5678766, -12777212, -22715034, -35492232? -51108806 What is next in 4007, 3602, 3195, 2780, 2351, 1902, 1427, 920? 375 What comes next: 5698, 5793, 5888, 5983, 6078, 6173? 6268 What is the next term in -670, -10008, -35320, -84586, -165786, -286900, -455908? -680790 What comes next: -56264, -224904, -505954, -899402, -1405236, -2023444, -2754014, -3596934? -4552192 What comes next: 638303, 638292, 638267, 638222, 638151, 638048, 637907, 637722? 637487 What comes next: 567823, 1135643, 1703449, 2271241, 2839019, 3406783, 3974533? 4542269 What comes next: 13692, 13182, 12666, 12144? 11616 What comes next: -1830, -4959, -10156, -17415, -26730, -38095, -51504, -66951? -84430 What is next in -36909, -147345, -331289, -588717, -919605, -1323929, -1801665, -2352789? -2977277 What comes next: 254733884, 254733883, 254733882, 254733881, 254733880, 254733879? 254733878 What is the next term in -7083274, -14166536, -21249798, -28333060? -35416322 What comes next: -43239, -43708, -44175, -44640, -45103? -45564 What is the next term in 194, 835, 1912, 3425, 5374? 7759 What comes next: 16362, 32821, 49396, 66087, 82894, 99817, 116856? 134011 What comes next: 9465, 9526, 9587, 9648? 9709 What is the next term in -3841232, -3841216, -3841208, -3841214, -3841240? -3841292 What comes next: -299239, -598554, -897943, -1197412, -1496967? -1796614 What is the next term in 75732817, 75732815, 75732813? 75732811 What is next in -715, -2006, -4355, -7930, -12899, -19430, -27691? -37850 What is next in -6328, -12718, -19004, -25180, -31240, -37178? -42988 What is the next term in 2439027, 2438990, 2438953, 2438916, 2438879, 2438842? 2438805 What comes next: -454739, -909477, -1364231, -1819007, -2273811? -2728649 What is next in -6922, -6955, -7010, -7087, -7186, -7307? -7450 What is next in -3393125, -3393134, -3393145, -3393158, -3393173, -3393190? -3393209 What comes next: -33290, -30895, -28500, -26105, -23710, -21315? -18920 What is the next term in -15445, -30911, -46389, -61879? -77381 What comes next: -11956, -24580, -37180, -49744, -62260, -74716, -87100? -99400 What is the next term in -79, 123, 345, 575, 801? 1011 What is next in -10158, -20390, -30720, -41148? -51674 What is next in -107311, -107143, -106975, -106807? -106639 What is next in -116820, -116556, -116288, -116016, -115740, -115460, -115176? -114888 What comes next: 43252, 43397, 43568, 43771, 44012, 44297, 44632? 45023 What is next in 49288, 49579, 50064, 50743, 51616, 52683, 53944? 55399 What is the next term in -6056, -7274, -8486, -9692, -10892, -12086, -13274? -14456 What is the next term in 32877, 131504, 295855, 525906, 821633, 1183012, 1610019? 2102630 What is next in -1253, -902, -565, -248, 43? 302 What is the next term in -3559, -11078, -23611, -41158, -63719, -91294, -123883? -161486 What comes next: 6345, 6471, 6823, 7515, 8661, 10375, 12771? 15963 What is next in 5157, 5024, 4897, 4782, 4685, 4612, 4569? 4562 What comes next: -47537, -95068, -142589, -190100, -237601? -285092 What is the next term in -742912, -743184, -743638, -744274? -745092 What is next in 2281, 3335, 4393, 5455? 6521 What is the next term in 3428647, 6857289, 10285929, 13714567, 17143203? 20571837 What comes next: 4674070, 9348142, 14022214, 18696286, 23370358, 28044430? 32718502 What is next in -9589, -9671, -9755, -9841, -9929, -10019? -10111 What is next in -219124, -219230, -219336, -219442? -219548 What comes next: 10736, 85794, 289448, 685994, 1339728? 2314946 What is next in 142076252, 142076249, 142076246, 142076243? 142076240 What is next in 6754, 7623, 8496, 9373, 10254? 11139 What is next in 12026462, 48105870, 108238240, 192423590, 300661938, 432953302? 589297700 What is the next term in 444392804, 444392795, 444392776, 444392741, 444392684? 444392599 What comes next: 1618823948, 1618823940, 1618823920, 1618823882, 1618823820, 1618823728? 1618823600 What is next in 1056018, 1056027, 1056036? 1056045 What is the next term in 1074, -868, -2810, -4752, -6694? -8636 What is the next term in -127, -1328, -4031, -8986, -16943, -28652? -44863 What is next in -19487, -17977, -16465, -14951, -13435? -11917 What is the next term in -6905, -9354, -11799, -14240, -16677, -19110? -21539 What is the next term in -61881, -123663, -185301, -246723, -307857, -368631? -428973 What comes next: -3594, -7202, -10802, -14382, -17930, -21434, -24882? -28262 What is the next term in 3607, 7379, 11265, 15271, 19403, 23667, 28069, 32615? 37311 What is the next term in 150743, 305603, 460465, 615329, 770195, 925063? 1079933 What comes next: -6354, -50656, -170894, -405036, -791050? -1366904 What is the next term in -407, -1667, -3745, -6641? -10355 What is the next term in 3169719, 6339504, 9509289, 12679074, 15848859? 19018644 What comes next: 1913073, 1913082, 1913091, 1913100, 1913109, 1913118? 1913127 What is next in 74372390, 74372388, 74372386, 74372384, 74372382, 74372380? 74372378 What is next in -1598288, -1598281, -1598274? -1598267 What is next in 16845, 16308, 15771, 15234, 14697, 14160? 13623 What is next in 1470, 6884, 16234, 29502, 46670, 67720? 92634 What is the next term in -6509, -12269, -18027, -23783, -29537, -35289? -41039 What comes next: -2729638, -2729626, -2729614, -2729602? -2729590 What is next in 2218, 3092, 5386, 9784, 16970? 27628 What is next in -3904, -8453, -13652, -19501, -26000, -33149, -40948? -49397 What is the next term in -2610, -4944, -7270, -9582, -11874? -14140 What is the next term in 755, 3051, 6825, 12035, 18639, 26595, 35861? 46395 What is next in 33561, 35956, 38351? 40746 What comes next: 41371, 41692, 42241, 43024, 44047, 45316, 46837, 48616? 50659 What is next in -16, -23, -270, -985, -2396, -4731? -8218 What is the next term in -306277, -1224935, -2756025, -4899541, -7655477, -11023827? -15004585 What comes next: 18544, 21456, 24368, 27280? 30192 What is the next term in 562, -1419, -5942, -13007, -22614? -34763 What comes next: 23058, 41482, 59908, 78336, 96766, 115198? 133632 What is next in -66514, -68862, -71214, -73570, -
{ "pile_set_name": "DM Mathematics" }
0? 0 Is -171039039 at least as big as -171039038? False Is 1670903314 < 1670903315? True Which is greater: 0.06675 or 119624? 119624 Which is smaller: 1/2 or -3125338/127? -3125338/127 Are 3942827 and 3942833 equal? False Which is smaller: -1 or -5/22422139? -1 Do -1 and 61/2804340 have the same value? False Are 23274182 and 23274182 equal? True Which is smaller: 5894078 or 5894067? 5894067 Which is smaller: -6427 or -25139? -25139 Which is smaller: -9576/121 or 4? -9576/121 Is -1092 <= -133.605? True Which is smaller: -1 or 46/6647485? -1 Is 1158/25339 <= 1? True Which is smaller: -149234 or -3880053/26? -149234 Which is bigger: 563 or 575856/1021? 575856/1021 Is 46141532 smaller than 46141533? True Is 1 != 107/45467? True Which is greater: 5/7 or -1995548? 5/7 Which is smaller: 0 or 4929/566885? 0 Are 85675 and 84559 equal? False Is -28/3005803 > -1? True Which is smaller: 3412 or 740266/217? 740266/217 Is 0 > -24178/20371? True Which is greater: 23003 or 483092/21? 483092/21 Which is smaller: -199 or -2027703? -2027703 Which is bigger: -20 or 54607/534? 54607/534 Which is smaller: 66 or -118/45? -118/45 Is 72683 != 1671724/23? True Which is bigger: -30887483 or -30887484? -30887483 Is 18932642 at least 18932641? True Is 194381 <= 195270? True Does 0.1821 = -1.116? False Which is smaller: 1351955 or 1352040? 1351955 Is 10 at most 2167688? True Which is smaller: 13366711 or 13366713? 13366711 Which is greater: -1 or 5400/28379? 5400/28379 Which is smaller: 242232228 or 242232230? 242232228 Which is bigger: -1 or -3/72889793? -3/72889793 Which is greater: 32/511195 or -1? 32/511195 Which is smaller: -275397573 or -275397571? -275397573 Are 3201286 and 3201286 equal? True Which is smaller: 1900040 or 0.05? 0.05 Is 0.06 greater than 175292660? False Which is bigger: 1 or -5/27837588? 1 Which is smaller: 202514/3 or 147? 147 Do -36/49259 and -1 have the same value? False Is -6499410 bigger than -6499482? True Which is bigger: -7/774128 or 0? 0 Do 1 and 1233/60769 have different values? True Which is bigger: 1943.1539 or 12/7? 1943.1539 Is 2409066 greater than 2409065? True Is 8 != -88857? True Which is smaller: -2 or -1072801? -1072801 Is 105 greater than -40472? True Which is bigger: 111/4 or -55882? 111/4 Which is bigger: 1 or -578/1154307? 1 Which is smaller: -32883 or -33311? -33311 Is 2773429 != 2773431? True Is -2545 less than -1905? True Is 0 at most as big as 7521/5893? True Is -8966 > 2781? False Which is smaller: 1 or 83/8352574? 83/8352574 Which is bigger: 0 or -89/391914? 0 Which is smaller: -1/85686440 or -1? -1 Is 21526830 <= 21526865? True Is -243141/55 greater than -4422? True Which is greater: 12617 or 178? 12617 Is 80738376 > 80738377? False Which is smaller: -25.01 or 56.75? -25.01 Is 1 greater than or equal to -60/1011169? True Is 1 equal to -1/274902941? False Which is smaller: -21 or -88854/3971? -88854/3971 Which is smaller: 8452519 or 5? 5 Is 1642741 < 1642744? True Which is smaller: 61/3196315 or -1? -1 Is 19122/3343 at least as big as 7? False Which is smaller: -1619803 or -0.04? -1619803 Is -4/72117383 less than 1? True Is 40/966477 at most 0? False Which is bigger: -1 or 1/295386? 1/295386 Which is smaller: -3284212/21 or -156392? -156392 Which is greater: 3136/1741 or 2? 2 Is 125386 at least -39? True Which is smaller: -57466348 or -57466346? -57466348 Which is smaller: -232849 or 625? -232849 Is -27.693144 at most as big as -3? True Is 4728510 greater than or equal to -2/19? True Which is bigger: -237 or -429835/1819? -429835/1819 Which is greater: -11216/535 or -21? -11216/535 Which is smaller: 53 or 2377104? 53 Are -19898 and -14862 nonequal? True Which is bigger: -2 or -3/27245? -3/27245 Which is smaller: -1/6658518 or -1? -1 Is -931.4636 < 1? True Which is bigger: -82 or -717925? -82 Which is smaller: 14529 or 14572? 14529 Is -4494778 >= 1/2? False Which is greater: 30/361358779 or 0? 30/361358779 Are -103102700 and -103102703 equal? False Which is bigger: -44/22617 or 52? 52 Is -30834 less than -12376? True Is -206/12039 less than or equal to 1? True Is -76667265/7 <= -10952465? True Which is smaller: 56039 or 4/77? 4/77 Which is bigger: 105359084 or 316077256/3? 316077256/3 Is 7013 not equal to -12008? True Which is greater: 1 or -2423/116164? 1 Is -16/103 greater than or equal to 28.56? False Is 10607730 greater than or equal to 53038646/5? True Do -23 and 1623907 have different values? True Are 3/33628309 and 2 non-equal? True Does 20887185 = 20887186? False Which is smaller: -26619450 or -26619448? -26619450 Is -19 at most -170578? False Which is bigger: 3295641 or 3295642? 3295642 Is 0.4 not equal to -46299/124? True Which is smaller: -306 or -29721/97? -29721/97 Is 745065 >= 744603? True Which is smaller: 50064 or 49720? 49720 Which is bigger: 220161 or 219573? 220161 Which is greater: -0.06 or 103891? 103891 Are -1276349010 and -1276349010 equal? True Is 86200973 greater than or equal to 86200972? True Is 1084 greater than or equal to 79152/73? False Is -15 greater than 61054183? False Which is bigger: 0 or -2/191290649? 0 Is 1 greater than or equal to -302/714517? True Which is greater: 1 or -16/158932313? 1 Do 0.032789776 and 1 have different values? True Is -2/1465236091 smaller than -1? False Which is smaller: 13446805 or 13446808? 13446805 Which is greater: 1484 or 43075/29? 43075/29 Which is smaller: 20/881363 or 0? 0 Which is smaller: -110672 or -110685? -110685 Are 723946/3089 and 1 equal? False Is -13656297 less than -13656295? True Are 4756 and 2652 unequal? True Are 4 and -958779 unequal? True Is 3724 bigger than 2772? True Which is greater: -1.48 or 2238/5? 2238/5 Which is greater: -70811 or 1728? 1728 Which is bigger: 981 or 187224/191? 981 Which is smaller: 3 or -1078614.5? -1078614.5 Is 3 greater than 204928771? False Is -3/346 not equal to 22526? True Do 1 and 1211/11008 have different values? True Which is smaller: -342125 or -343866? -343866 Which is greater: -2 or -1247/1245? -1247/1245 Which is greater: 111472650 or 111472649? 111472650 Are 136570248 and 136570247 equal? False Which is smaller: -121 or -56021/458? -56021/458 Which is smaller: -1002003 or -1? -1002003 Is 136612166 >= 136612166? True Is -12849 != -5109? True Do 262/301383 and 1 have the same value? False Which is smaller: -1 or 206/2787247? -1 Which is smaller: -1036749 or -1036750? -1036750 Does -1 = -385/204? False Which is bigger: -2862627/122 or -23463? -23463 Is -91 != -257270? True Which is bigger: 687 or 47500/69? 47500/69 Which is smaller: -229/33155 or 1? -229/33155 Is -34423655 != -34423659? True Which is bigger: -2366538 or -2366552? -2366538 Is -3684 >= -4266? True Does -365 = -1337? False Which is greater: -508.74923 or 2? 2 Is 14041076 > 14041076? False Which is bigger: 1816634 or 1816629? 1816634 Is 3/52628005 less than or equal to 1? True Are -1841564 and -1841774 unequal? True Which is smaller: -35 or 321/95? -35 Is -3897.6 <= 37? True Which is smaller: -738800 or 0.01? -738800 Which is smaller: 3/35442158 or -1? -1 Is 11/3 smaller than -707.17? False Which is bigger: 0.27644281 or 0.1? 0.27644281 Do 352 and 627031/1778 have different values? True Which is smaller: -236725.45 or 0.3? -236725.45 Are 11339 and 510311/45 non-equal? True Which is smaller: 0.0429268 or 1.397? 0.0429268 Which is smaller: -987/32 or 6/7? -987/32 Which is smaller: -820/39149 or 0? -820/39149 Are -1/2 and -0.7495396 unequal? True Is 1 less than 20737782? True Which is smaller: -1/10868296 or -1? -1 Is 4907544 bigger than 4907545? False Which is greater: -393323 or 21? 21 Do 15759 and 9000 have the same value? False Is 0.1 < 646/2041? True Do 261555 and 958 have different values? True Which is bigger: 1 or 1/1323593591? 1 Is 1 smaller than -1944557924? False Which is smaller: 67/147265 or -1? -1 Which is greater: -2326956 or -3? -3 Which is greater: 296726 or 296683? 296726 Is 3965 < 116/9? False Does 574355399 = -1? False Is 9/241 at least as big as -1749? True Which is smaller: 572 or 473904/829? 473904/829 Which is bigger: -0.03 or 71256.63? 71256.63 Is 26/48343 less than -2? False Which is bigger: 107994 or 109036? 109036 Does -63635 = 777? False Which is smaller: 4.2 or 1124404? 4.2 Is -2034 less than or equal to -2001?
{ "pile_set_name": "DM Mathematics" }
one dp? 4384 Round -28089595.8 to the nearest one thousand. -28090000 Round -0.1133660834 to 2 dps. -0.11 What is 461608.093 rounded to the nearest one hundred? 461600 Round -18153.12397 to the nearest one hundred. -18200 Round 50821114 to the nearest one hundred thousand. 50800000 What is -1.95156384 rounded to one decimal place? -2 What is 0.34705905 rounded to 2 decimal places? 0.35 What is 17272450 rounded to the nearest 1000000? 17000000 Round -5946.252 to the nearest 10. -5950 Round 0.946317714 to two dps. 0.95 Round -0.001381513973 to five decimal places. -0.00138 What is 688663628 rounded to the nearest one hundred thousand? 688700000 What is 1.367716386 rounded to three dps? 1.368 Round -606102.185 to the nearest one thousand. -606000 Round -1184.0806 to 0 dps. -1184 What is 0.00179024028 rounded to four decimal places? 0.0018 What is -0.0000297458248 rounded to 6 dps? -0.00003 Round 63.436974 to the nearest ten. 60 What is 1.53993803 rounded to 3 dps? 1.54 What is 4.5087027 rounded to 2 dps? 4.51 Round 5.93369366 to one dp. 5.9 Round 1464.288173 to zero decimal places. 1464 What is 149.251008 rounded to zero dps? 149 What is 100.608286 rounded to the nearest ten? 100 What is -5.887939 rounded to two decimal places? -5.89 Round -55619.451 to the nearest 10000. -60000 What is 1257398.16 rounded to the nearest 100000? 1300000 What is -265.10053 rounded to the nearest 10? -270 What is -41.2149311 rounded to one decimal place? -41.2 Round -9.08684756 to 3 dps. -9.087 What is 70.403435 rounded to the nearest integer? 70 What is 15.70407901 rounded to 2 dps? 15.7 What is -0.00917464395 rounded to 3 dps? -0.009 Round -3369745.91 to the nearest one hundred. -3369700 Round 505.769294 to the nearest 10. 510 What is 0.000139823852 rounded to six decimal places? 0.00014 What is -0.0000125183527 rounded to 7 decimal places? -0.0000125 Round 309837.266 to the nearest one hundred. 309800 What is 4985.91815 rounded to the nearest 10? 4990 Round 1362710.231 to the nearest 10. 1362710 What is 10873670.667 rounded to the nearest 1000000? 11000000 Round -0.94571095 to two dps. -0.95 What is 5492907.027 rounded to the nearest ten thousand? 5490000 What is 27963342600 rounded to the nearest one million? 27963000000 Round -20848758.83 to the nearest one million. -21000000 Round 167394208.7 to the nearest 1000000. 167000000 What is -1830277.36 rounded to the nearest ten thousand? -1830000 Round 0.000076702982 to five decimal places. 0.00008 Round -0.00009822283542 to 5 dps. -0.0001 Round 2.73354935 to three dps. 2.734 Round 0.000209176409 to 7 decimal places. 0.0002092 What is 3548090.41 rounded to the nearest ten thousand? 3550000 Round -1544.788423 to the nearest ten. -1540 Round -0.03724105395 to 5 dps. -0.03724 Round 5.831545354 to two dps. 5.83 What is 0.002464015668 rounded to five decimal places? 0.00246 Round 11085352.6 to the nearest 10000. 11090000 What is 6.94032275 rounded to 1 dp? 6.9 What is 14995.1992 rounded to the nearest 10000? 10000 What is 7043.8983 rounded to 0 decimal places? 7044 Round 80276318.1 to the nearest 100000. 80300000 Round -1069.1480873 to the nearest integer. -1069 What is 1370.369845 rounded to the nearest integer? 1370 What is -2545.263661 rounded to one decimal place? -2545.3 Round -8461.749526 to the nearest 100. -8500 Round 1127810.29 to the nearest one hundred thousand. 1100000 What is -2370.36775 rounded to the nearest 10? -2370 Round 0.044722569 to three decimal places. 0.045 What is -13.25809121 rounded to 3 decimal places? -13.258 Round -104.9698737 to one dp. -105 What is -1961678.183 rounded to the nearest 10000? -1960000 Round -1037386.707 to the nearest ten thousand. -1040000 What is 0.0027097435 rounded to 5 dps? 0.00271 What is 198872443.48 rounded to the nearest 1000000? 199000000 Round 0.093597712 to four dps. 0.0936 Round -0.000600982241 to seven dps. -0.000601 Round -0.0000002275522 to 6 decimal places. 0 What is 7013.55836 rounded to zero decimal places? 7014 Round 473.65042 to one decimal place. 473.7 What is -3999.884 rounded to the nearest 1000? -4000 What is 3.2397083197 rounded to three decimal places? 3.24 Round 0.0000007747096015 to 7 dps. 0.0000008 Round -0.0567994532 to five decimal places. -0.0568 What is -121.4630067 rounded to the nearest one hundred? -100 Round 0.001387669152 to five dps. 0.00139 Round 172992.663 to the nearest 1000. 173000 What is 1.372134867 rounded to 2 dps? 1.37 What is 11652031700 rounded to the nearest one million? 11652000000 What is -0.007559349927 rounded to six decimal places? -0.007559 Round -41.1906062 to 2 dps. -41.19 Round 1503101.1 to the nearest one thousand. 1503000 Round 378.752389 to the nearest one hundred. 400 What is -22.09233292 rounded to two dps? -22.09 What is -0.0203666061 rounded to three dps? -0.02 Round 100695.3259 to the nearest 10. 100700 What is 2376126368 rounded to the nearest one million? 2376000000 What is 0.000010833488543 rounded to six dps? 0.000011 Round -0.027109851 to 4 decimal places. -0.0271 Round -13371185.87 to the nearest one million. -13000000 What is 574448380 rounded to the nearest 1000000? 574000000 What is 893624340 rounded to the nearest one million? 894000000 What is -832747900 rounded to the nearest 100000? -832700000 What is -20103345.4 rounded to the nearest one million? -20000000 Round 2026.45157 to the nearest ten. 2030 Round 0.0000866937222 to 7 decimal places. 0.0000867 Round 0.04715064109 to six decimal places. 0.047151 Round 0.00213995188 to 4 dps. 0.0021 What is -216964874 rounded to the nearest one million? -217000000 Round 2.757307696 to 2 decimal places. 2.76 What is -7852964.35 rounded to the nearest one hundred? -7853000 What is -13762.9145 rounded to zero dps? -13763 Round -107.8105 to the nearest integer. -108 Round -3.196882738 to 3 dps. -3.197 Round 0.59453727 to 2 dps. 0.59 Round 0.0959043234 to 3 decimal places. 0.096 What is 0.000213570274 rounded to five dps? 0.00021 What is 2530962.6 rounded to the nearest 10000? 2530000 Round -1395.64085 to the nearest one hundred. -1400 Round -0.001075278408 to 6 dps. -0.001075 Round -1.7000789 to the nearest integer. -2 Round 0.0104374982 to three dps. 0.01 What is -2.023458 rounded to the nearest integer? -2 Round -4476.440171 to the nearest 10. -4480 What is 0.709262516 rounded to 2 dps? 0.71 What is -0.19004792 rounded to five decimal places? -0.19005 Round -3100525.4 to the nearest ten thousand. -3100000 Round -96.0167979 to one decimal place. -96 Round -24116.1612 to 0 dps. -24116 Round -71.19195256 to the nearest ten. -70 Round -342226.7331 to the nearest 10000. -340000 Round -0.01140647163 to 6 decimal places. -0.011406 Round -2376.3228 to the nearest 10. -2380 What is 1754712185 rounded to the nearest one hundred thousand? 1754700000 Round -99583709 to the nearest 10000. -99580000 Round 0.04146159046 to three dps. 0.041 What is 0.058585708 rounded to 4 decimal places? 0.0586 Round -0.048439037 to five dps. -0.04844 Round 0.0002015544642 to 6 decimal places. 0.000202 Round 0.001213993075 to 4 dps. 0.0012 What is -81009.67 rounded to the nearest one thousand? -81000 Round 0.0222224385 to six decimal places. 0.022222 Round -94654.875 to the nearest 10000. -90000 What is 6045057.27 rounded to the nearest 10000? 6050000 Round -0.000113747711 to six decimal places. -0.000114 Round -238383399 to the nearest one million. -238000000 What is -0.0043757287 rounded to 4 decimal places? -0.0044 What is 16291967.38 rounded to the nearest 100000? 16300000 Round 65899605.35 to the nearest ten thousand. 65900000 What is 13089.4095 rounded to the nearest 1000? 13000 What is 3.380300404 rounded to two decimal places? 3.38 What is -680.1606979 rounded to 0 decimal places? -680 Round 0.00542428107 to 3 decimal places. 0.005 Round -193581.5755 to the nearest 100. -193600 Round -1.1244193 to one dp. -1.1 What is -1006.47412 rounded to one decimal place? -1006.5 Round 0.000298927776 to 6 decimal places. 0.000299 What is 1.96671482 rounded to 2 decimal places? 1.97 Round -6.796222064 to 3 decimal places. -6.796 Round 0.123593729 to three decimal places. 0.124 Round -1925319146 to the nearest 1000000. -1925000000 Round 44706.5124 to the nearest one hundred. 44700 Round -4
{ "pile_set_name": "DM Mathematics" }
easing order. 3652, 523, -1 Sort 643, -130868, 1 in ascending order. -130868, 1, 643 Sort -60, 19/7, -1467, -2 in decreasing order. 19/7, -2, -60, -1467 Sort -7, 0, -1424, 2, -2 in increasing order. -1424, -7, -2, 0, 2 Put 1/7, -0.4, -27, -64, 3/2, -0.1 in decreasing order. 3/2, 1/7, -0.1, -0.4, -27, -64 Put 192, 15, 10, -14 in decreasing order. 192, 15, 10, -14 Put -4, -5, 3, 698, 2, 231 in increasing order. -5, -4, 2, 3, 231, 698 Put 4, -4, -3, -1, -248097, 0 in descending order. 4, 0, -1, -3, -4, -248097 Sort 150, -9, -4, -44, 12 in decreasing order. 150, 12, -4, -9, -44 Put 17, 0.305, -3/34 in descending order. 17, 0.305, -3/34 Put -0.1, 2/19, -111612, 0.3, -42 in decreasing order. 0.3, 2/19, -0.1, -42, -111612 Put 1/2, 0.2, 93, 5, -23, -4 in descending order. 93, 5, 1/2, 0.2, -4, -23 Sort 4/3, -40, -4, -0.533. -40, -4, -0.533, 4/3 Sort 61, 10, -34688 in descending order. 61, 10, -34688 Put 71, 5, -1, -15292 in descending order. 71, 5, -1, -15292 Sort 3, -3/5, 0, 97/12286 in decreasing order. 3, 97/12286, 0, -3/5 Sort 1, 46, 2, -44, -4, -3, 73 in descending order. 73, 46, 2, 1, -3, -4, -44 Sort -7, -5, -6, -28375 in ascending order. -28375, -7, -6, -5 Put -27, -2, 3, 153, -2665 in decreasing order. 153, 3, -2, -27, -2665 Put 1/9, 6137, 23.3, 0 in descending order. 6137, 23.3, 1/9, 0 Put -35, -2, 6, 0, 12, -3 in decreasing order. 12, 6, 0, -2, -3, -35 Put 9, -2/9, -2/15, -1/6 in decreasing order. 9, -2/15, -1/6, -2/9 Sort 20, -10, 11722 in ascending order. -10, 20, 11722 Put 1/2, 3/5, -254, 1/460, -3 in increasing order. -254, -3, 1/460, 1/2, 3/5 Put 4, -1/2, -5, 290/79, -2/3 in ascending order. -5, -2/3, -1/2, 290/79, 4 Put -4, -1, 2, -3.5, -43, -40, 0.4 in decreasing order. 2, 0.4, -1, -3.5, -4, -40, -43 Put -3, 502, -726, 3 in decreasing order. 502, 3, -3, -726 Put 540, -251, 3/941 in descending order. 540, 3/941, -251 Sort -685, -1, 10, -2, -45 in ascending order. -685, -45, -2, -1, 10 Put 447, 0.4, 3, -3, 585 in descending order. 585, 447, 3, 0.4, -3 Sort -25, 133203, 1 in descending order. 133203, 1, -25 Sort 91, 112, -4, -5, 4, -3 in ascending order. -5, -4, -3, 4, 91, 112 Sort -5662, 14, -0.32 in descending order. 14, -0.32, -5662 Sort -400, -200, 40 in descending order. 40, -200, -400 Put 78, -3, 3, -99, -1, -33 in ascending order. -99, -33, -3, -1, 3, 78 Put -1, 3/40, -5, -3, -0.9, 22, 13 in ascending order. -5, -3, -1, -0.9, 3/40, 13, 22 Sort 299916, 4, 83. 4, 83, 299916 Put 3, -5, -23, -229, 37 in increasing order. -229, -23, -5, 3, 37 Put 5, -3.74, 1345 in descending order. 1345, 5, -3.74 Put -2/883, -13/38, -0.1, -1.1 in decreasing order. -2/883, -0.1, -13/38, -1.1 Sort 0.41, -9/2152, -28. -28, -9/2152, 0.41 Put 4, -53, -5, -3, -3208 in increasing order. -3208, -53, -5, -3, 4 Sort 2, 1223, 171, -3, 0 in ascending order. -3, 0, 2, 171, 1223 Sort 3, 7, -1, 8, 2, 0, -1357 in increasing order. -1357, -1, 0, 2, 3, 7, 8 Sort -3189, -79, -103. -3189, -103, -79 Sort 29, 2, -2, 3, 4, -3, -29 in increasing order. -29, -3, -2, 2, 3, 4, 29 Sort -1, 2620, -6, 12, 5 in descending order. 2620, 12, 5, -1, -6 Sort 0.2, 3, 6.6, -8/7, 1, 0.4, -16 in decreasing order. 6.6, 3, 1, 0.4, 0.2, -8/7, -16 Sort 186/43, 0.5, 0.3, -207, 18. -207, 0.3, 0.5, 186/43, 18 Put 2, 15, -4/5, 5, -98 in ascending order. -98, -4/5, 2, 5, 15 Sort -5, -35279, 4, 1, 0. -35279, -5, 0, 1, 4 Put 2, -23822, 1736 in ascending order. -23822, 2, 1736 Sort 24/5, -1577, 0, -1/9 in increasing order. -1577, -1/9, 0, 24/5 Sort -5, 4, 0, -7, -761. -761, -7, -5, 0, 4 Sort 3.89, 19, 3/7, -1.9. -1.9, 3/7, 3.89, 19 Sort -0.03, 0.21, 270340, 1/2 in decreasing order. 270340, 1/2, 0.21, -0.03 Sort -3, -39, -17, -38/3, -11, -1/3. -39, -17, -38/3, -11, -3, -1/3 Sort -7, -21, 4, 1, 6074 in decreasing order. 6074, 4, 1, -7, -21 Sort 1, -41840, 4, 106. -41840, 1, 4, 106 Put 2, -5, -16, -72, -2, 1, -4 in increasing order. -72, -16, -5, -4, -2, 1, 2 Sort 14, -75, 0.2, -5, -0.2, -9 in increasing order. -75, -9, -5, -0.2, 0.2, 14 Put -1, 266, 5, 7517 in increasing order. -1, 5, 266, 7517 Sort -25, -1/4, -5, 6, -6, -3 in decreasing order. 6, -1/4, -3, -5, -6, -25 Sort 12/29, -2/7, 13889 in ascending order. -2/7, 12/29, 13889 Put -1754, -3, -5, -27, -9 in descending order. -3, -5, -9, -27, -1754 Sort 1.5, 2/7, -3, 6, -5, 49, 7 in descending order. 49, 7, 6, 1.5, 2/7, -3, -5 Put -1/8, 1, -2, 388, -3, 953 in ascending order. -3, -2, -1/8, 1, 388, 953 Sort 390, -75, 1573 in descending order. 1573, 390, -75 Sort 1/3, -3, -45, 8092, -0.2. -45, -3, -0.2, 1/3, 8092 Sort 83, 123872, -5 in ascending order. -5, 83, 123872 Sort -17, -16, -4, -14, -156. -156, -17, -16, -14, -4 Sort -16, -10, -132, -96 in decreasing order. -10, -16, -96, -132 Sort -116, -1, 5, -151, -3, -4, 0. -151, -116, -4, -3, -1, 0, 5 Sort -3, -172, -75, 298, -2, -4 in descending order. 298, -2, -3, -4, -75, -172 Sort -31, 91, 128, -249 in decreasing order. 128, 91, -31, -249 Put -2731, 2, 1, 0, -9, 6, 7 in descending order. 7, 6, 2, 1, 0, -9, -2731 Put -1, -5, -3, 9, 4, -2, 5 in decreasing order. 9, 5, 4, -1, -2, -3, -5 Sort 239, -1, -4, 4, 2, 305 in descending order. 305, 239, 4, 2, -1, -4 Put 10, 36, -254, 2/7, -5/3 in decreasing order. 36, 10, 2/7, -5/3, -254 Put -46, -5, 1, -13, -1, 4, 7 in decreasing order. 7, 4, 1, -1, -5, -13, -46 Sort -3/1055, 13271.3, 5. -3/1055, 5, 13271.3 Sort -11201, 3, 2, 1/4, 1/21. -11201, 1/21, 1/4, 2, 3 Put 7/4, 2/5, -2/9, 347, -3, -2 in descending order. 347, 7/4, 2/5, -2/9, -2, -3 Put 447812, 36, -5 in ascending order. -5, 36, 447812 Sort -889, -4/7, -3610. -3610, -889, -4/7 Sort 8, 2, 245929 in descending order. 245929, 8, 2 Put -7, 24, -1, 3, -5, -2, 107 in decreasing order. 107, 24, 3, -1, -2, -5, -7 Sort -1, 23, -2, 696, -1/4, -0.2, 8 in decreasing order. 696, 23, 8, -0.2, -1/4, -1, -2 Sort 0.1, 1.2, 5, -9/82, 34, 1/2. -9/82, 0.1, 1/2, 1.2, 5, 34 Put 2, 54, 284781 in increasing order. 2, 54, 284781 Put 50808632, -2, 2 in increasing order. -2, 2, 50808632 Sort -26, 4, 1, -127, -521 in increasing order. -521, -127, -26, 1, 4 Put -103, -65105, 4, 1 in ascending order. -65105, -103, 1, 4 Sort 2, 1, -4, 13861 in ascending order. -4, 1, 2, 13861 Sort -4, 0, 5, -17, 71, -8, -2 in decreasing order. 71, 5, 0, -2, -4, -8, -17 Sort 1, 6, -1, -135, 0, 5, -3 in ascending order. -135, -3, -1, 0, 1, 5, 6 Put -194, 0, 56, -4, 5, -1, -7 in increasing order. -194, -7, -4, -1, 0, 5, 56 Put 5, 3, -3, -2, 604, 9, -5 in descending order. 604, 9, 5, 3, -2, -3, -5 Sort 27458207, -0.08, -2/5 in ascending order. -2/5, -0.08, 27458207 Sort 2/3, 52.7, 4, -4, 16, -1 in descending order. 52.7, 16, 4, 2/3, -1, -4 Sort 0.4, 95, 1/5, -1, -6/5, -4/9 in ascending order. -6/5, -1, -4/9, 1/5, 0.4, 95 Sort 623, 653, 5 in descending order. 653, 623, 5 Sort 47, 22, -5, 452 in descending order. 452, 47, 22, -5 Sort 4602, 1009, -5 in descending order. 4602, 1009, -5 Sort 0.4, 142, -0.1, 0.1, -0.8, 0.6. -0.8, -0.1, 0.1, 0.4, 0.6, 142 Sort 1, -3, -160, -13, 1578 in descending order. 1578, 1, -3, -13, -160 Put 3/7, -1/4, 4, 2770, 5 in decreasing order. 2770, 5, 4, 3/7, -1/4 Put -1, 3, 2, -11085, -4, -14, -10 in descending order. 3, 2, -1, -4, -10, -14, -11085 Sort 119, -3, 0, 1, 19, -5 in descending order. 119, 19, 1, 0, -3, -5 Sort -27, -7, -4, -144, 4, 5 in decreasing order. 5, 4, -4, -7, -27, -144 Sort -5, 316, -8, -27, 3, -2. -27, -8, -5, -2, 3, 316 Sort -5, -50, 1, 13300. -50, -5, 1, 13300 Sort -2/317, -3, 1/160 in ascending order. -3, -2/317, 1/160 Put -29, -2, 1, 46095 in descending order. 46095, 1, -2, -29 Put 413162, 5, 32 in descending order. 413162, 32, 5 Put 9, -10, 2, 5, 114163, -5 in ascending order. -10, -5, 2, 5, 9, 114163 Sort -1, -4, 329371 in descending order. 329371, -1, -4 Put -2408, 42, 14/237 in ascending order. -2408, 14/237, 42 Sort 5, 6512, -22287. -22287, 5, 6512 Sort 4, 292, -2, 94, 8, 3 in descending order. 292, 94, 8, 4, 3, -2 Put -82965226, 11, 2 in ascending order. -82965226, 2, 11 Put -3, -2, -58765, 2, 53 in ascending order. -58765, -3, -2, 2, 53 Put 3576, -96, -2 in increasing order. -96, -2, 3576 Put -369, -19404, 2 in ascending order. -19404, -369, 2 Sort -5, 88498, 2, -1, 4, -3, 5 in decreasing order. 88498, 5, 4, 2, -1, -3, -5 Put -5, -0.3, 15, -153, -0.4, 14 in ascending order. -153, -5, -0.4, -0.3, 14,
{ "pile_set_name": "DM Mathematics" }
- 4*z + 2. Let g(w) = -3*w - 1. Let r be g(-1). Let s be k(r). Suppose s + 1 = c. Solve 4*u - 5 = c*u for u. 5 Let s(y) = -y + 9. Let q(d) = -2*d - 5. Let t be q(-5). Suppose t*w = 2*c + 10, 2*c + 4*w - 1 = 5*c. Let v be s(c). Solve v*a = 2*a - 4 for a. -2 Suppose -x + 29 - 7 = -5*s, 4*x - 2*s - 34 = 0. Suppose z + 2*z + i = x, 4*i = 5*z - 40. Suppose -z*q + 3 = -3*q. Solve -q*m + 6 = -5*m for m. -3 Let x = 0 - 0. Let l = 64 - 56. Solve -3*n + n + l = x for n. 4 Let g(r) = r**2 + 12 + 13 - 25. Let d be (-1 - (-2)/4)*4. Let c be g(d). Solve 0 = -0*u - 2*u - c for u. -2 Let i = 2 + 2. Suppose -i*f + 7 + 45 = 0. Let d = f + -8. Solve -d = q - 1 for q. -4 Let d = 3 - 1. Suppose 2*l = 5*l + 3*v, -3*l - 10 = 5*v. Suppose -b = 5*c + 10 + l, 0 = -3*b + 2*c + 23. Solve d*y + 9 = b*y for y. 3 Suppose -p = -2*p + 2. Suppose p*q = 3*q. Suppose -27 = -3*u + 3*t, u - 3 = 4*t + 18. Solve -2*w + u*w = q for w. 0 Suppose 0 = 3*p - 5*p - 2*t + 2, p - 3 = -3*t. Suppose p = -s - 2 + 4. Solve m - s*m + 5 = 0 for m. 5 Let x = 44 - 32. Solve 0 = -3*w + x + 3 for w. 5 Let t be (-24)/(-7) + (-3)/7. Solve -5*p = -4*p + t for p. -3 Suppose 3*z + z - 16 = 0, -4*o - 2*z = -52. Suppose -o - 14 = -5*t. Suppose -4*q = 2*d - 4, q = -0*q - d. Solve t*g = q*g + 3 for g. 1 Suppose 4*r + 24 = -j, 5*r + 24 - 7 = 2*j. Let m = -3 - r. Suppose 4 = -2*p + 3*k, -p + 3*k = m*p. Solve -8*z + 20 = -p*z for z. 5 Let j be 1 - 1 - (-5 + 2). Let h = 10 - 8. Solve -j = h*n - n for n. -3 Let y(l) = l - 2. Suppose 5*v = 9 + 11, -5*t + 4*v = 6. Let m be y(t). Suppose -11 - 9 = -4*d. Solve m*i = i + d for i. -5 Let d be (-6 - (8 - 14))*1/1. Solve 0 = -5*w - d + 15 for w. 3 Suppose 21*m + 116 - 305 = 0. Solve -3*t - m = 3 for t. -4 Suppose -3*j + 12 = j. Suppose j*n + 10 = r, 4*n + 5 = 2*r - 11. Solve i - r*i = 0 for i. 0 Let h(i) = -3*i**3 - i**2 - i + 1. Let l be h(1). Let r = l - -4. Let x = r + 1. Solve 3 = n + x for n. 2 Let p = 2 + -4. Let o be (-2)/(1/5*p). Suppose 0 = -0*c + c - o. Solve c*m + 13 = -2 for m. -3 Suppose 2 - 32 = -5*n. Let g = -4 + n. Suppose -d = -g*d + 13. Solve 0 = 3*j - 2 - d for j. 5 Suppose -4*y = x + 9, 2*y = -4*x - 0*y - 22. Let v = -5 - x. Suppose -u = -v - 2. Solve -5*i = -u + 17 for i. -3 Let b(a) = a**3 + 8*a**2 - a - 6. Let d be b(-8). Suppose d*u = 4*j - 10, -j - j + 30 = 4*u. Solve -i - 8 = -j*i for i. 2 Suppose -2 = -g - 0*g. Solve 3*r - 2*r - g = 0 for r. 2 Let f = -1 + 5. Let q(c) = -c**2 - 4*c + 2. Let m be q(-4). Let a = 7 - m. Solve -f*v = v + a for v. -1 Let w be ((-50)/3)/5*-3. Let k = 12 - w. Solve -4 = -k*p + 4 for p. 4 Suppose -5*d + x + 8 = -6, -d + 5 = 2*x. Solve 0*g - 12 = d*g for g. -4 Suppose 4*i = 2*u - 8 + 28, 2*u + 4 = 0. Suppose -s - 56 = -3*x, -i*x + 0*s = 3*s - 66. Solve 5*g = 7 + x for g. 5 Let h be (5 + -2)/3*3. Suppose -h*o = 2*o - 40. Suppose w + 0*w = o. Solve -i - 3*i - w = 0 for i. -2 Suppose -6*v = 2*n - 2*v - 14, -2*n = -3*v - 7. Let b(p) = 5 - 3*p**2 - 6*p + p**3 + 4*p - p. Let a be b(n). Solve 5*l = 15 - a for l. -5 Suppose 0*v = -4*v + 8. Solve 2*w = -v*w - 16 for w. -4 Let h = -15 - -10. Let c = 10 + h. Solve -t - 2 = -c for t. 3 Let p(a) = 9*a**3 + 14*a**2 + 7*a. Let u(w) = -5*w**3 - 7*w**2 - 4*w. Let z(f) = -4*p(f) - 7*u(f). Let d be z(-7). Solve d*x - x = 3 for x. -3 Let u be 224/70 + (1 - (-12)/(-10)). Solve -u*n - 9 + 6 = 0 for n. -1 Let f = -2 - -3. Let m(a) = 6*a + 1. Let u be m(f). Solve -3*d - 2 = u for d. -3 Let z(q) = q**3 - 14*q**2 + 4. Let k be z(14). Let u = -2 + k. Solve u*g + 8 = -0 for g. -4 Let b = 48 - 47. Solve -2*a = -7 + b for a. 3 Suppose -1 = 2*f - 5. Suppose 0 = 4*i - 5*n - 55, 5*n = -4*i + 3*n + 34. Solve 0 = -f*c - 3*c - i for c. -2 Suppose 0 = -3*k + 4*l + 67, k + 0*l - 19 = 3*l. Let c = 6 - 10. Let o = 6 + c. Solve -k = -3*t - o*t for t. 5 Let t = 4 + -4. Suppose -5*g + 2*f + 123 = 0, -g + 2*f + 26 = 3. Suppose -g - 23 = -4*a. Solve -3*u - a = -t*u for u. -4 Suppose 2*h + 2*h = 20. Let r be (-6)/(-8) + 105/(-12). Let f be 1*(-14)/r*12. Solve -f + 1 = -h*d for d. 4 Let n = 28 - 24. Solve 20 = o + n*o for o. 4 Let g = 20 + -16. Solve -d + 3*d + g = 0 for d. -2 Let b(k) = -4*k - 3. Let u be b(-2). Suppose 25*r - 8 = 26*r. Let q be (r/20)/(4/(-80)). Solve o - u*o = q for o. -2 Let b be (27/(-5) - 6/(-15))/(-1). Solve b*j = j - 8 for j. -2 Let b(h) = h**3 + 12*h**2 + 11*h + 2. Let n be b(-11). Solve n*k - 3 - 3 = 0 for k. 3 Suppose 5*n - 1 = -4*t + 7, -3*n + 9 = t. Suppose 3*p = p + n. Solve 0 = -i + 2*i - p for i. 2 Suppose -7*i = -0*i - 35. Solve 0 = i*b - 5 + 30 for b. -5 Suppose 2*b + 0 = 4*o - 10, 9 = 3*o - 3*b. Suppose 3*w = -5*h, -o*w - 2*w = -3*h. Let d be (-1)/(-4)*2*6. Solve 0 = -w*r + d*r + 12 for r. -4 Let z = -17 - -26. Let c be (-2)/z + (-146)/(-9). Suppose 3*h + 5*r = 29, 31 = 4*h + h + 4*r. Solve -1 = h*m - c for m. 5 Let c = -40 + 51. Solve 14 = 5*h - c for h. 5 Suppose -3 + 10 = -j. Let p = j + 13. Solve -b = b - p for b. 3 Let o(n) = 3 + 8*n + n**2 + 1 + 2. Let p be o(-9). Solve 0*g = -5*g + p for g. 3 Suppose 0 = 7*z - 3*z - 8. Solve 9 = o + z*o for o. 3 Let t = 10 + -21. Suppose 2*p = -p, v + p + 5 = 0. Let n = v - t. Solve r - n*r = -25 for r. 5 Let s = -5 + 5. Suppose s = 4*d - 0*d - 100. Let f = 7 + -5. Solve -f*k - 3*k + d = 0 for k. 5 Let z(s) = s**2 + 3*s - 6. Let t be z(2). Solve t*c + 24 - 4 = 0 for c. -5 Let z be 2/6 - 3/9. Suppose c + 2*c + 12 = z. Let f be ((-10)/c)/5*4. Solve 2*l - 4 = -f for l. 1 Suppose -b - 25 = 4*b. Let l = b - -14. Suppose 2*z - l = -z. Solve z*c = -2*c for c. 0 Let c = -11 - -20. Let z be (-6)/(-4) + (-1)/(-2). Let v = 76 + -76. Solve w + z*w - c = v for w. 3 Suppose -4*x + 8 = -5*r, -3*x + 6*r + 6 = 3*r. Suppose -x*v = -d + 2*d - 1, 2*d - 10 = 4*v. Solve -d*z - 5 = 2*z for z. -1 Let i(c) = c**2 - 10*c + 25. Let v be i(7). Solve -v*j - 16 = -0*j for j. -4 Suppose -20 = -u + 5*b, -5*u + 7*b = 3*b - 37. Let k be 8/3*45/6. Solve f - u*f = -k for f. 5 Let o(m) = -4*m - 4. Let u be o(-3). Let x = -8 + u. Solve 3*h = -x*h - 9 for h. -3 Let d be -1*(-3 - -2)*4. Solve -12 = -d*r + r for r. 4 Let z(i) = -12*i - 57. Let n be z(-5). Solve 0 = -g + 2*g - n for g. 3 Suppose -3*i + i = z + 3, 5*i + 15 = -z. Suppose 0 = 4*t - 4*p - 4, z*p - 35 = -4*t - t. Let y = t - 3. Solve d - 4 = -y for d. 3 Suppose 3*l - 12 + 9 = 0. Solve -l - 3 = a for a. -4 Suppose 16 - 48 = 4*x. Let q = x + 12. Solve 1 = 3*w - q*w for w. -1 Let z(l) = -l**3 + 3*l**2 + l. Let w be z(3). Let k be (-27)/(-4) + (-2)/(-8). Solve -w = -4*n - k for n. -1 Let d(h) = 2*h - 2. Let y be d(-3). Let q be (-30)/y*(0 - -4). Suppose -3*a - 3 = -4*a. Solve -a*o = 3 - q for o. 4 Suppose -12 + 5 = -j. Let f = j - 4. Let l = 1 - 1. Solve l = -f*b + b for b. 0 Let x(m) = 2*m + 48. Let n be x(-21). Solve b = -2*b + n for b. 2 Suppose 0*m - m = -4. Let d(s) = -s + 4. Let u be d(m). Suppose u = -j - 0 + 6. Solve -p + j*p = -20 for p. -4 Let r be (-6)/(-21) + (-8)/28. Suppose 3*f = 3 - 12, -3*h - 2*f = r. Solve -4 - 2 = -h*x for x. 3 Let o(v) = 5*v + 1. Let x(t) = -t. Let r(s) = -o(s) - 3*x(s). Let j be r(-4). Solve j*h - 2*h = 0 for h. 0 Let p = -6 + 8. Suppose -p*r + 4*r = 6. Solve r*l - 10 = -1 for l. 3 Let g(w) = -w**3 + 7*w**2 + w - 3. Let b be g(7). Suppose 3*m - 35 = -j, -b*m - 60 = -2*j - 2*j. Solve j = -4*a - a for a. -4 Suppose -y + 9 = -3. Suppose 4*o - y = 16. Solve -5*p + 3 + o = 0 for p. 2 Let o(n) = -n**2 - 10*n + 1. Let p(t) = -t**2 - 11*t + 1. Let y(v) = 5*o(v) - 4*p(v). Let w be y(-6). Solve -3*z - 11 = w for z. -4 Suppose 0 = r + 2*r. Suppose -3*i = -r*i - 9. Solve -i*x = -0*x + 12 for x. -4 Suppose 6*m = -4*b + m - 17, 2*m + 10 = 0. Let s = -1 + b. Solve 0 = -2*y + 5 + s for y. 3 Let g(u) = -u**2 + 8*u - 9. Let q be g(5). Let r(v) = 3*v + 1. Let a(y) = -y - 1. Let j(i) = -5*a(i) - 2*r(i). Let x be j(0). Solve -x*h = -0 + q for h. -2 Suppose 18 = x + 16. Solve x*q - 8 = 4*q for q. -4 Let i(v) = v**3 + 3*v**2 - v + 2. Let c be i(-3). Let h be (-1)/(-3)*(-4 + 16). Suppose -10 = -h*r + 2*r. Solve -c*a - r = -0*a for a. -1 Let f = -8 - -12. Suppose 0 = f*x - 8*x. Solve 5*c = -x*c - 20 for c. -4 Let l be 1/3*(-6 + 12). Suppose 3*h = 4*h - l. Solve 12 = h*u + u for u. 4 Let q(l) = l + 1. Let s be q(3). Let m be 0 + s + 1 - 1. Solve 12 + 8 = m*z for z. 5 Let z be 1 - (4 + -8)/(-4). Solve -n - 1
{ "pile_set_name": "DM Mathematics" }
1 What is prob of picking 1 b and 2 a when three letters picked without replacement from aaabdabbbaaaad? 4/13 What is prob of picking 2 k and 1 m when three letters picked without replacement from {k: 2, w: 2, f: 2, m: 3, g: 4}? 3/286 What is prob of picking 2 q when two letters picked without replacement from gfqgqdfqfq? 2/15 Calculate prob of picking 1 n and 1 c when two letters picked without replacement from {n: 12, c: 3, t: 2}. 9/34 What is prob of picking 1 f, 1 y, and 1 d when three letters picked without replacement from {y: 2, l: 2, d: 6, f: 1}? 4/55 Four letters picked without replacement from nutnntntttunnn. What is prob of picking 2 t and 2 n? 30/143 Three letters picked without replacement from {v: 1, c: 3, z: 2, x: 4, i: 1}. What is prob of picking 1 i, 1 x, and 1 c? 4/55 Three letters picked without replacement from {h: 15, l: 4}. What is prob of picking 3 l? 4/969 What is prob of picking 1 d, 1 o, 1 h, and 1 c when four letters picked without replacement from sdhcsdhchouduuss? 9/910 Three letters picked without replacement from nnnnnfnf. What is prob of picking 3 n? 5/14 What is prob of picking 2 f and 2 r when four letters picked without replacement from {x: 2, f: 11, r: 2}? 11/273 Calculate prob of picking 1 i and 1 h when two letters picked without replacement from iriiiirirrrhihrr. 7/60 Four letters picked without replacement from {f: 6, w: 2, e: 5, y: 1, t: 2}. What is prob of picking 1 f and 3 t? 0 Two letters picked without replacement from uwuwpuwuhwuwuwuuu. Give prob of picking 1 p and 1 w. 3/68 Calculate prob of picking 2 z and 1 x when three letters picked without replacement from xzzzzzxz. 15/28 Calculate prob of picking 1 a and 1 x when two letters picked without replacement from aaaxh. 3/10 What is prob of picking 1 r and 2 b when three letters picked without replacement from krdkkbdrkkbrkkrrrr? 7/816 Three letters picked without replacement from {j: 1, v: 1, m: 1, z: 1, w: 1}. What is prob of picking 1 v, 1 w, and 1 m? 1/10 Two letters picked without replacement from ooovovo. What is prob of picking 2 v? 1/21 Three letters picked without replacement from {z: 1, s: 3, c: 3}. Give prob of picking 1 s and 2 c. 9/35 Two letters picked without replacement from llmlllmllml. What is prob of picking 2 m? 3/55 What is prob of picking 1 o and 1 i when two letters picked without replacement from diiooooligoiooioo? 45/136 Three letters picked without replacement from ahhhafrharrh. Give prob of picking 1 r and 2 h. 3/22 Four letters picked without replacement from {j: 3, f: 2, u: 2, r: 1, c: 6, y: 1}. What is prob of picking 2 f and 2 j? 1/455 Calculate prob of picking 1 a and 2 l when three letters picked without replacement from lilllaxlk. 5/42 Two letters picked without replacement from hffhfhfffhiff. Give prob of picking 1 i and 1 h. 2/39 Four letters picked without replacement from {c: 5, o: 5}. What is prob of picking 2 c and 2 o? 10/21 Calculate prob of picking 1 n, 1 e, 1 h, and 1 c when four letters picked without replacement from {e: 4, c: 1, n: 2, h: 3}. 4/35 Two letters picked without replacement from gzzzzg. What is prob of picking 1 g and 1 z? 8/15 Four letters picked without replacement from yxxxwwx. What is prob of picking 3 x and 1 w? 8/35 Two letters picked without replacement from ssnhnnhsn. What is prob of picking 2 h? 1/36 Two letters picked without replacement from {q: 9, m: 5}. What is prob of picking 2 q? 36/91 What is prob of picking 4 l when four letters picked without replacement from lllllllll? 1 Four letters picked without replacement from azzzmmzzazmlzmmzmzm. What is prob of picking 2 m and 2 z? 63/323 Three letters picked without replacement from {d: 1, t: 1, r: 1, c: 2, p: 1, k: 1}. What is prob of picking 1 d, 1 r, and 1 c? 2/35 Calculate prob of picking 1 n, 1 g, and 1 u when three letters picked without replacement from lunnuluglnlnug. 8/91 What is prob of picking 3 q when three letters picked without replacement from fqqqqfb? 4/35 Two letters picked without replacement from {j: 2, m: 2, b: 2}. What is prob of picking 1 j and 1 m? 4/15 Four letters picked without replacement from {i: 9, o: 11}. What is prob of picking 4 i? 42/1615 Two letters picked without replacement from {q: 1, v: 2, d: 1, z: 1, f: 2}. Give prob of picking 1 d and 1 v. 2/21 What is prob of picking 1 q and 1 w when two letters picked without replacement from qwwwwq? 8/15 Two letters picked without replacement from {f: 2, x: 7, h: 4}. Give prob of picking 2 f. 1/78 Calculate prob of picking 3 d and 1 r when four letters picked without replacement from {r: 2, d: 9, x: 5, f: 3}. 14/323 What is prob of picking 1 d and 1 n when two letters picked without replacement from {d: 3, n: 13}? 13/40 Three letters picked without replacement from {o: 1, c: 2, k: 2}. Give prob of picking 2 k and 1 c. 1/5 Two letters picked without replacement from {a: 11, c: 1, w: 3}. What is prob of picking 2 w? 1/35 Three letters picked without replacement from {p: 1, o: 2, k: 2, x: 4, v: 3}. What is prob of picking 1 x, 1 o, and 1 p? 2/55 Four letters picked without replacement from {k: 3, t: 2, z: 3, j: 8}. Give prob of picking 1 t, 1 j, 1 z, and 1 k. 36/455 Calculate prob of picking 1 p and 1 k when two letters picked without replacement from {l: 7, p: 4, i: 2, r: 2, g: 1, k: 1}. 1/34 Calculate prob of picking 2 t and 1 f when three letters picked without replacement from fffffftt. 3/28 What is prob of picking 1 w, 1 h, and 1 i when three letters picked without replacement from {i: 2, c: 5, s: 4, h: 1, r: 1, w: 2}? 4/455 Calculate prob of picking 1 f and 2 h when three letters picked without replacement from {h: 3, f: 2}. 3/5 Three letters picked without replacement from {h: 5, r: 1, p: 4, a: 1, u: 4, i: 3}. Give prob of picking 1 a and 2 i. 1/272 What is prob of picking 1 i and 1 k when two letters picked without replacement from {i: 5, k: 5}? 5/9 Three letters picked without replacement from ttaaa. What is prob of picking 2 a and 1 t? 3/5 Two letters picked without replacement from {k: 2, f: 7, q: 4, s: 1, x: 1, c: 2}. Give prob of picking 1 k and 1 x. 1/68 What is prob of picking 3 g when three letters picked without replacement from mmgygygmmmy? 1/165 Four letters picked without replacement from dddddddddddddgdddd. What is prob of picking 3 d and 1 g? 2/9 Two letters picked without replacement from iuddim. Give prob of picking 1 i and 1 u. 2/15 Two letters picked without replacement from {x: 4, f: 2}. Give prob of picking 1 f and 1 x. 8/15 Two letters picked without replacement from {k: 2, g: 2, a: 1, p: 4, j: 2, e: 6}. What is prob of picking 1 e and 1 g? 3/34 Four letters picked without replacement from txtxtxtxxxxt. What is prob of picking 4 x? 7/99 Three letters picked without replacement from ruuuururuuuruu. Give prob of picking 1 r and 2 u. 45/91 Two letters picked without replacement from {j: 2, z: 6, b: 3, y: 4}. Give prob of picking 1 j and 1 z. 4/35 Four letters picked without replacement from xdddfdffxdxfxxxddxfx. Give prob of picking 1 f, 1 x, and 2 d. 56/323 Four letters picked without replacement from {p: 3, g: 4, a: 2}. What is prob of picking 1 p and 3 g? 2/21 What is prob of picking 3 d when three letters picked without replacement from {d: 6, o: 10, f: 1}? 1/34 Two letters picked without replacement from tpnepppdepexpdpp. What is prob of picking 1 t and 1 p? 1/15 Three letters picked without replacement from vgpvpgpvpvvvp. Give prob of picking 1 g and 2 v. 15/143 What is prob of picking 1 g and 1 i when two letters picked without replacement from biggb? 1/5 Three letters picked without replacement from sviss. Give prob of picking 2 s and 1 v. 3/10 Two letters picked without replacement from bbb. What is prob of picking 2 b? 1 Four letters picked without replacement from pjpjjpjsjfsfjspjss. What is prob of picking 1 s, 1 j, and 2 f? 7/612 Two letters picked without replacement from dddssddd. Give prob of picking 2 s. 1/28 What is prob of picking 1 u, 1 w, and 1 g when three letters picked without replacement from {j: 1, w: 1, g: 2, u: 1}? 1/5 Calculate prob of picking 1 d, 1 g, and 1 p when three letters picked without replacement from {p: 3, v: 1, d: 1, g: 2}. 6/35 What is prob of picking 1 v and 2 q when three letters pick
{ "pile_set_name": "DM Mathematics" }
to m in 0.4, k, 2/9? k Let n = 1994.4 - 1994. Which is the closest to -1/5? (a) n (b) 3 (c) 2 a Let j be 4*4/(-24)*-3. Let w be j + (4 - (2 + -10)). Suppose w + 11 = -5*s. Which is the closest to 0? (a) 0 (b) 1/3 (c) s a Let y = -106.96 - -0.96. Let v = y - -105. What is the nearest to v in -1, 2/5, -2/5? -1 Suppose -y - 20 = y. Let s be (5/30)/(y/(-15)). What is the closest to s in -0.4, -2, 0? 0 Let i = -6 + 3. Let t(p) = 2*p - 10. Let g be t(3). Let v = -4 - -3.94. Which is the nearest to 0? (a) i (b) g (c) v c Suppose 0 = 4*z + 2*r - 18, 33 = 4*z + 9*r - 4*r. Let v = -4.72 + 0.72. Let o be ((-128)/(-15))/8 - 4/10. Which is the nearest to o? (a) v (b) z (c) 0.2 c Let p = -2.078 - -0.078. What is the nearest to 0.13 in p, 3, -1? -1 Suppose 4*o - 8 = -136. What is the closest to o in -2, -1/4, 0? -2 Let h = 15 - 19. Let a = -1/2 + 7/10. What is the nearest to 1 in a, -3, h? a Let z = -572 + 551. What is the closest to 0 in -0.1, z, 0, 3? 0 Let o = -47.6 - -47.1. Which is the nearest to 0? (a) 2/7 (b) -1/4 (c) o b Let d = -2186 - -2180. What is the nearest to d in -4, -1, -5? -5 Let v = 2.14 + -7.14. Let f = -6 + 8. Which is the nearest to -0.1? (a) f (b) 1/2 (c) v b Let n = -3581 + 3588. Let s be (-30)/4*2/3. Which is the closest to -0.3? (a) n (b) -1 (c) s b Let c = -5.6 + 5.578. Let n = c - -0.132. Let v = -0.8 - -0.3. What is the closest to -2 in -0.3, v, n? v Let h(q) = q**3 - 30*q**2 + 81*q. Let o be h(27). Let v = 15 - 15.7. Let d = v - -4.7. What is the closest to 0 in -5, o, d? o Let f = -0.056 - 34.944. Let k = f + 34.8. What is the closest to -1 in -2, -0.5, k? -0.5 Let a = -235 - -238. What is the closest to 1/2 in a, -6, -0.1? -0.1 Let n = 71126 + -499846/7. Let j = 280 + n. What is the nearest to -0.3 in 3/8, j, -5/6? j Suppose -8 = -4*q + 2*u, 28*u = q + 27*u. Let k = -203/5 - -40. Which is the nearest to 1? (a) k (b) 2 (c) q b Suppose 0 = 4*q + 20, 5*t - 15 = q - 4*q. Let n = 23/4 - 6. What is the closest to t in n, -4, -5? n Let q = 2.39 + -7.39. Suppose -5*d + 15 = 0, 7*p + 3*d - 29 = 2*p. Which is the closest to -1? (a) q (b) 4/3 (c) p b Let g = -1155 - -1155. What is the closest to -0.2 in -7, 1/4, g? g Let n be 48/160 + (0 + -2)/10. Which is the nearest to 6? (a) 0.3 (b) n (c) -4 a Let g = 2 - 6. Let d = -1.6 - -21.6. Let l = -20 + d. Which is the closest to l? (a) g (b) -0.1 (c) 5 b Let d = 1.4 + 0.6. Let k = -2.02 + 2. Let b = k + -0.28. What is the nearest to 2 in d, b, 1? d Suppose 0 = v + 2*v - 30. Suppose 4*f + 13 = 5*w, 0 = -5*f + w - 0*w + v. What is the nearest to -0.1 in f, -2/7, -3/10? -2/7 Let v = 0.1 - 3.1. Let u = 0.618 - 0.318. What is the closest to 2 in -0.4, u, v? u Let q = 5.7 - 0.7. Let i = q + -5. Which is the nearest to 1? (a) i (b) 3 (c) 4 a Let z = 129 + -125. Which is the closest to -2? (a) z (b) 2 (c) 5 b Let i = 85 + -84.8. Let g = 5 - 1. Let u be g/14 + 3/14. Which is the closest to 0.2? (a) -1 (b) i (c) u b Let c = -2.96 - 0.04. Let l = -737 - -733. What is the nearest to -1 in l, c, -1? -1 Suppose 0 = 10*r + r + 44. Which is the closest to 1/2? (a) 2 (b) 0.2 (c) r b Let j be ((-70)/(-490))/((-4)/(-7)). Which is the nearest to 1? (a) j (b) 0.5 (c) -5/4 b Let d = -431 - -1295/3. Which is the nearest to d? (a) 2/33 (b) 0.2 (c) 1/9 b Let c = 3 - -4. Let s be (-70)/(-8) + c/28. Let v be ((-1)/(-3))/(3/s). What is the nearest to v in 3, 2, 5/6? 5/6 Suppose 27 - 3 = 2*g - 4*x, -5*x + 24 = 2*g. Let m = 3.006 + -0.006. Which is the nearest to 1/2? (a) g (b) -4 (c) m c Let g = -5 - -4. Let m = 1394 - 1393. Which is the closest to g? (a) m (b) -1 (c) 0.4 b Let j = -1245/34 + 73/2. Let o = -73/340 - -1/68. What is the nearest to -5 in j, o, 0? o Let q = 779 - 778. What is the closest to -2 in -2, -0.5, q? -2 Let w = -1 + -1. Let t = 486 - 481. Which is the closest to 1/2? (a) w (b) t (c) 4 a Let c = 7.751 - 0.051. Let u = c - 27.8. Let o = u + 20. What is the nearest to -2 in 3, o, 1/4? o Let r be (-4)/(-2) - ((-44)/(-8) - 4). Which is the nearest to r? (a) 5 (b) -3 (c) 18 (d) -0.1 d Let f be (0/(-2) + 0)*-1. Let s be 25/(625/30) - 2/10. Let h = 6 - 6.4. Which is the closest to s? (a) f (b) -1 (c) h a Let w = 2.1 + -0.1. Let v = 0.4018 - 0.1018. What is the nearest to -2 in v, 4, w? v Let u = 0.1 + 0.1. Let j = u - 0. Which is the closest to j? (a) 0.4 (b) -5 (c) 3/4 a Let f = -3.9 - -2.9. Let y = 53/315 + 2/63. Let d = -5/2 + 11/6. What is the closest to y in f, d, -2? d Suppose -2*m + 0 - 4 = -2*h, -3*h + m - 2 = 0. Let y = -208 - -207. Which is the nearest to 2/3? (a) y (b) h (c) -2/9 c Let g = 177/7 - 25. Let x = -3787 - -3785. Which is the nearest to g? (a) x (b) 4 (c) 0 c Let r(j) = -j**2 - 5*j + 3. Let u be r(-6). Suppose 5*m - 3 = -0*k + 3*k, 1 = -k + 3*m. What is the nearest to k in u, 0.2, -0.3? -0.3 Let s be (3 - (8 - 5)) + (-20)/30. Which is the nearest to s? (a) 4 (b) -4 (c) -10 (d) 0.3 d Suppose 5*a = -30 - 5. Let g be 52/14 - 2/a. Let v = 1.22 + -3.22. What is the closest to 0.1 in v, 2/11, g? 2/11 Suppose 0 = 3*q - q. Let x = -3867.1 + 3867. What is the nearest to x in q, -5, -2/19? -2/19 Let v = -20285 + 100838/5. Let q = v + 117. Which is the nearest to 7? (a) q (b) 2/7 (c) 2 c Let a = 126.8 - 126.5. Let n = -0.7 - -5.7. What is the nearest to a in -5/4, n, -2/9? -2/9 Let r = -0.2271 + 0.0271. What is the nearest to 10 in -0.1, r, 0.2? 0.2 Let q = 11.34 - 9.34. Which is the nearest to 0.1? (a) 5 (b) 136 (c) q (d) -1 d Let h = -0.1 - -1.1. Let g be 6/(-14) - 0/(-1). Let l be (4 + -1)/(-3) - 4. Which is the closest to h? (a) -0.1 (b) l (c) g a Let i = -923 - -920. Which is the closest to -5? (a) 1/2 (b) i (c) 2/5 (d) 3/7 b Let k = -32/155 + -6/31. Let d = -20.4 - 2.6. Let g = d + 23.5. Which is the nearest to 1/5? (a) k (b) 0.1 (c) g b Let l be 2/4 - (-18)/(-20). Let o = -110 - -112. What is the closest to o in -0.2, l, -0.3? -0.2 Let m be ((-56)/10 - 6)*2/179. Let a = -2/537 + m. What is the closest to -0.1 in -4, 0, a? a Suppose -2*g - 3*i + 4*i = 5, 3*g + 2*i + 25 = 0. Which is the closest to -1? (a) g (b) -0.1 (c) -0.06 b Let f = 0.234 + 14.466. Let x = f + -15.7. Let q = 0.43 + -0.03. Which is the nearest to x? (a) -0.2 (b) q (c) 1/3 a Let z = 183/715 - 8/143. What is the closest to z in -1/4, -2/9, -1/5? -1/5 Let p = 309 - 310. Let s = 1.83 - -0.17. Which is the closest to -2/5? (a) s (b) -4 (c) p c Let f(g) = -5*g - 3. Let j(b) = -b**2 - 4*b + 4. Let h be j(-5). Let o be f(h). What is the closest to o in -3, -2/5, -0.3? -0.3 Let v be (-5)/(-15)*(-12)/22. Let n = -3/8 + 1/8. What is the closest to v in 4, -3/2, n? n Let t = 0.52 - 0.22. Let v = -94 - -91.96. Let k = v + 0.04. Which is the closest to 1/2? (a) t (b) k (c) -0.3 a Suppose 2*o + 192 = 6*o. Let f be (-88)/o - 1/(-1). What is the closest to 0.1 in f, 0, 0.1? 0.1 Let r = 1 - -1. Let i = 7 - 2. Let o = 965 + -965.1. Which is the closest to o? (a) r (b) i (c) 0 c Let o = 3 + -4. Let x = o - -0.6. Let g be (-20)/(-12)*(-6)/(-45). Which is the closest to 0? (a) x (b) -3 (c) g c Let s = 2 - 2.3. Let p be (-1800)/(-32) - (-2)/(-8). Let h = -115/2 + p. Which is the nearest to h? (a) s (b) 4 (c) 3 a Let x = 440 + -438. Let o = -0.3 - -0.3. Let z = o - 0. Which is the nearest to z? (a) x (b) -0.3 (c) 3 b Let x be (-1)/6*(2 - 1). Let o = -0.53 + -44.47. Let v = -44.7 - o. What is the closest to -0.1 in v, -4/5, x? x Let v = -0.577 - -3.577. Which is the closest to -2/5? (a) v (b) -3 (c) -8 b Let y = 2693.4 - 2694. What is the closest to 0.2 in -3, 4, -4, y? y Let a = 49.48 - 49.6. What is the nearest to -1 in a, 0, -5? a Let k be 19/7 + 9 + -12. What is the nearest to -1 in k, 0.1, 3/7? k Let n = 12.7 - 12.9. What is the closest to 0 in n, -2/3, 0? 0 Let p = -8/7 + -33/14. Let z = -5292 + 5297. What is the nearest to p in z, 3/5, 2? 3/5 Let g = -4933 - -4932. Let l be (4 + -2)/(4/10). Let r = -0.4 - -2.4. Which is the nearest to g? (a) l (b) -2/9 (c) r b Let h = -22 + 23. Let i be 2 - (4 + 2) - (-12 - -3). Which is the nearest to h? (a) -4 (b) i (c) -0.5 c Let y be (-8 + (-296)/(-33))*18/(-8). Which is the closest to 1? (a) y (b) 0.4 (c) 2/13 b Suppose 28 - 32 = -j, -2*j - 12 = 5*n. What is the nea
{ "pile_set_name": "DM Mathematics" }
is -30 + 71? 41 In base 10, what is 26 + 280? 306 In base 6, what is 0 + -2454? -2454 In base 16, what is 64 - a? 5a In base 12, what is -3 + -38? -3b In base 11, what is -142 + -8a? -221 In base 10, what is 4 - 21? -17 In base 2, what is -1001 + 10100011? 10011010 In base 3, what is 1121 + 1000? 2121 In base 3, what is 10 - 210001? -202221 In base 10, what is -51 + -3? -54 In base 7, what is 1131 + -5? 1123 In base 8, what is 3 - 376? -373 In base 3, what is 11 + 1021200? 1021211 In base 7, what is -11 + -3661? -4002 In base 10, what is 86 + -4? 82 In base 15, what is -1ac - 5? -1b2 In base 16, what is 12 + 13? 25 In base 16, what is 2 - -1bd? 1bf In base 6, what is 2 - -22344? 22350 In base 15, what is -1 - -c8? c7 In base 12, what is 1 + -1a04? -1a03 In base 3, what is 10 + 1002020? 1002100 In base 9, what is -1 - -105? 104 In base 7, what is -45 - 15? -63 In base 13, what is 1113 - 4? 110c In base 5, what is 2 + 40? 42 In base 6, what is 401 + -4? 353 In base 9, what is -87 - -1? -86 In base 8, what is -3 - -2124? 2121 In base 6, what is 33 - 4? 25 In base 14, what is 68a - -1? 68b In base 8, what is 13 + 40? 53 In base 4, what is 21122 + 10? 21132 In base 11, what is -1 - -234? 233 In base 6, what is 2 + 1120? 1122 In base 3, what is 1 + 22002? 22010 In base 15, what is -13b + -3? -13e In base 15, what is -5 - -530? 52a In base 4, what is -10203 - 3? -10212 In base 3, what is 1 - 111? -110 In base 3, what is 11 - 1010122? -1010111 In base 2, what is 101 + -1001001? -1000100 In base 4, what is -22 - 10021? -10103 In base 6, what is 2410 + -1? 2405 In base 2, what is 100 + 1100001111? 1100010011 In base 16, what is -12 + -30? -42 In base 11, what is 74 - 2? 72 In base 14, what is 7 + 17? 20 In base 7, what is 5 - -11? 16 In base 9, what is 5 - 12? -6 In base 4, what is 101312 + 0? 101312 In base 13, what is 1b + 11? 2c In base 12, what is -23 + 3a4? 381 In base 8, what is -214 - 4? -220 In base 2, what is 101 + 100010111001? 100010111110 In base 2, what is 111000 - 110? 110010 In base 3, what is -20002 - -2? -20000 In base 11, what is -1993 + 3? -1990 In base 7, what is 256 - -3? 262 In base 7, what is -50234 + 2? -50232 In base 2, what is 110 - 10100011111? -10100011001 In base 14, what is 5 + -1a? -15 In base 2, what is 1001101011000 + -10? 1001101010110 In base 14, what is -34 - 3? -37 In base 14, what is 5 + 193? 198 In base 9, what is 76 + -5? 71 In base 13, what is 0 + -12c6? -12c6 In base 9, what is 1633 - 11? 1622 In base 12, what is 9 + 30? 39 In base 8, what is -6 + 2032? 2024 In base 10, what is -447 + 0? -447 In base 2, what is -10100001110 + 1? -10100001101 In base 9, what is 8 - 136? -127 In base 6, what is -3024 + -10? -3034 In base 6, what is 5000 + 5? 5005 In base 12, what is a490 - 1? a48b In base 9, what is -4 + -37? -42 In base 12, what is 2 + -287? -285 In base 3, what is 122020 - -200? 122220 In base 9, what is -5 - -3475? 3470 In base 13, what is -c0 - -5? -b8 In base 11, what is -181 - 134? -305 In base 11, what is 264 + -1? 263 In base 7, what is 21551 - 4? 21544 In base 15, what is -107 + c? -ea In base 12, what is -5 + -123? -128 In base 14, what is 1c + -117? -d9 In base 2, what is 100 - -100110111? 100111011 In base 14, what is -9b - 7? -a4 In base 4, what is 101331 + -10? 101321 In base 5, what is -1241 + -202? -1443 In base 16, what is -14 + 18? 4 In base 14, what is -a1 - 5? -a6 In base 10, what is 130 - -2? 132 In base 14, what is -b73 - 1? -b74 In base 13, what is -1544 - -2? -1542 In base 9, what is -776 + 5? -771 In base 9, what is 824 + 5? 830 In base 3, what is 120 - -1111012? 1111202 In base 5, what is 323 - -34? 412 In base 3, what is 2 + -1122211? -1122202 In base 15, what is 5b + -19? 42 In base 6, what is -5 + 15? 10 In base 16, what is 2 - -b7? b9 In base 6, what is -435 - 1? -440 In base 12, what is 1 - -399? 39a In base 15, what is 6b2 + 4? 6b6 In base 9, what is -231 - -4? -226 In base 13, what is 0 + 1502? 1502 In base 8, what is 6 - -2626? 2634 In base 4, what is -20113 - -1? -20112 In base 16, what is 293 + -6? 28d In base 12, what is 0 - 54? -54 In base 16, what is c + 2? e In base 13, what is -5 + -107? -10c In base 10, what is 43 + -5? 38 In base 9, what is 21 - 50? -28 In base 15, what is -4 - -128? 124 In base 3, what is 2 + 1011? 1020 In base 3, what is -11 - -2012? 2001 In base 11, what is -13 - -2? -11 In base 9, what is 3 + 16? 20 In base 6, what is 55 + 25? 124 In base 6, what is -14 + 1035? 1021 In base 10, what is -554 - 3? -557 In base 8, what is -2 + 1317? 1315 In base 14, what is 32 + c? 40 In base 9, what is -22 - -13? -8 In base 9, what is 1 + -74? -73 In base 5, what is 10 - -102? 112 In base 9, what is -247 + -5? -253 In base 16, what is 10 - 40? -30 In base 15, what is -10 + 30? 20 In base 4, what is -1021 + 1? -1020 In base 4, what is -222203 - 1? -222210 In base 13, what is -47 - 3? -4a In base 9, what is 2554 - -3? 2557 In base 5, what is -114 - -32? -32 In base 8, what is 3 + 1077? 1102 In base 14, what is 26d4 + -3? 26d1 In base 14, what is 1001 - 5? dda In base 6, what is -333 + -2? -335 In base 5, what is 212 - -14? 231 In base 2, what is 100000101 - 110? 11111111 In base 16, what is 3 - 32? -2f In base 11, what is 54 + -7? 48 In base 3, what is -211 + -10120? -11101 In base 11, what is 15a4 - -3? 15a7 In base 8, what is -11 + 354? 343 In base 12, what is -2 - -166? 164 In base 4, what is -12123 + -3? -12132 In base 13, what is 36 + -24? 12 In base 5, what is -11 + 100? 34 In base 13, what is b7 - 5? b2 In base 4, what is 122 + 2100? 2222 In base 6, what is 1241151 + -4? 1241143 In base 10, what is 5 - -927? 932 In base 6, what is -34045 - 1? -34050 In base 2, what is 10001111 - -1? 10010000 In base 5, what is -2320 - -1? -2314 In base 14, what is 1b + -1? 1a In base 14, what is 33 - -b? 40 In base 8, what is 4 - -2023? 2027 In base 8, what is 2 - -105? 107 In base 11, what is 5a - 7? 53 In base 3, what is 1200 + -101? 1022 In base 4, what is 3 + 31132? 31201 In base 9, what is 103 + 58? 162 In base 11, what is 3 - -223? 226 In base 6, what is -445 + 0? -445 In base 13, what is 4239 + -1? 4238 In base 9, what is 178 + -4? 174 In base 16, what is -4 + -f1? -f5 In base 9, what is 573 + -50? 523 In base 7, what is -13 + -25? -41 In base 4, what is 11 - -1230? 1301 In base 13, what is 267 + -2? 265 In base 3, what is 2100 - -12? 2112 In base 6, what is -12 + -130? -142 In base 2, what is -1000 - 1? -1001 In base 13, what is 0 + 31? 31 In base 9, what is 12747 + 0? 12747 In base 6, what is -101 + 5? -52 In base 2, what is 10 - 1001110? -1001100 In base 13, what is 6 - -4c? 55 In base 5, what is 4 - 12? -3 In base 7, what is 2315 - -4? 2322 In base 2, what is 1 - -111? 1000 In base 16, what is 4 + -3b6? -3b2 In base 15, what is 1 + 65? 66 In base 9, what is 434 + 4? 438 In base 9, what is -6 + -458? -465 In base 6, what is -51 + 514? 423 In base 14, what is -1 + 5b? 5a In base 9, what is 6 - 162? -155 In base 3, what is -2011 + -1? -2012 In base 12, what is 15 + 117? 130 In base 13, what is -44c - -4? -448 In base 9, what is -12 + -134? -146 In base 9, what is -13 - -14? 1 In base 7, what is -13 + -11? -24 In base 15, what is 1 + 54? 55 In base 16, what is -3 - 91? -94 In base 3, what is -1010 - -212? -21 In base 8, what is 17 - -11? 30 In base 4, what is 1213 - 0? 1213 In base 5, what is 314100 + 4? 314104 In base 7, what is -420 + -32? -452 In base 16, what is -18b + -3? -18e In base 2, what is 100100010 - 1? 100100001 In base 8, what is -22 + 21? -1 In base 8, what is -60 - 0? -60 In base 8, what is -3 + -37? -42 In base 8, what is -2 - -2164? 2162 In base 2, what is 1001 + -1110110? -1101101 In base 15, what is 1bc - -16? 1d3 In base 15, what is 2 - -21ca? 21cc In base 10, what is -6 + 1703? 1697 In base 12, what is -74 + -3? -77 In base 3, what is -10 + 20? 10 In base 12, what is -16 + -392? -3a8 In base 14, what is d43 + -5? d3c In base 11, what is -6 - -8? 2 In base 3, what is -110222 + 101? -110121 In base 13, what is 165 - -2? 167 In base 6, what is -2 + 50314? 50312 In base 7, what is -103405 + 2? -103403 In base 9, what is -4 - -3031? 3026 In base 15, what is -27 - 6? -2d In base 11, what is 3a - 361? -322 In base 10, what is 5 - -2687? 2692 In base 6, w
{ "pile_set_name": "DM Mathematics" }
composite? True Is 472408537 composite? False Is 174272353 prime? False Is 4403149 composite? False Is 4613291 a prime number? False Is 951449 composite? False Is 138346717 a composite number? False Is 120999451 prime? True Is 22880137 a composite number? True Is 63016799 a composite number? True Is 5992073 a prime number? True Is 26826133 a composite number? False Is 73764931 composite? True Is 766911 composite? True Is 233864905 a prime number? False Is 172001579 a composite number? True Is 26756137 prime? False Is 806916287 prime? True Is 33571007 a prime number? False Is 414569 prime? False Is 1991602 composite? True Is 403554253 prime? True Is 122651 composite? False Is 88189619 prime? False Is 2507555 a composite number? True Is 9529349 prime? False Is 48390929 composite? True Is 45377881 a composite number? False Is 532601 a prime number? True Is 30080221 a composite number? True Is 180492811 composite? False Is 215071 composite? True Is 23066353 composite? True Is 30623207 prime? True Is 267976663 a composite number? False Is 12114119 a composite number? True Is 102118417 a prime number? True Is 10631207 prime? True Is 358054135 prime? False Is 3692929 a composite number? False Is 27715021 a prime number? True Is 143433991 a composite number? False Is 23157779 a prime number? False Is 72422591 composite? False Is 3847271 a composite number? False Is 7324529 prime? False Is 156539 composite? False Is 32819087 composite? True Is 31601869 a prime number? False Is 206637349 a composite number? False Is 12143797 composite? True Is 74661802 a prime number? False Is 6866039 composite? False Is 10209007 a prime number? True Is 32412038 a composite number? True Is 22045754 composite? True Is 8697679 a composite number? True Is 67732157 composite? True Is 12118169 a prime number? False Is 46097617 a composite number? True Is 4399531 a composite number? False Is 15130243 composite? False Is 10651519 prime? False Is 2252837 composite? True Is 7276147 composite? True Is 214547 a prime number? False Is 1416433 composite? False Is 2830027 composite? False Is 104501759 composite? True Is 21187871 prime? True Is 160523281 a prime number? True Is 37149083 a composite number? False Is 1363412987 a composite number? False Is 61601174 composite? True Is 58523 composite? True Is 11826923 a prime number? True Is 76339793 a prime number? True Is 24990409 a composite number? True Is 772949 a prime number? True Is 69188947 prime? True Is 46828219 composite? False Is 903499 composite? True Is 10139078 prime? False Is 171300403 prime? False Is 23879963 a composite number? True Is 9672733 a prime number? False Is 5323106 a prime number? False Is 11272993 a prime number? False Is 124647889 prime? False Is 22835977 a composite number? True Is 49933837 a composite number? False Is 809563 composite? False Is 25117049 a prime number? False Is 156736379 composite? True Is 3393263 composite? True Is 9551677 prime? True Is 163042585 a prime number? False Is 220718657 a prime number? True Is 12556849 a prime number? False Is 1579034363 composite? False Is 8171017 composite? False Is 47141417 prime? True Is 8283683 prime? True Is 4212473 composite? True Is 152264039 a prime number? True Is 1346773 composite? False Is 28855283 a prime number? True Is 111507098 prime? False Is 995803 a composite number? True Is 4891763 a prime number? True Is 90667097 a composite number? False Is 197489881 a prime number? False Is 154767479 prime? True Is 51933065 composite? True Is 75906331 prime? True Is 25088887 composite? True Is 3229001 composite? False Is 3346801 a composite number? False Is 11729899 composite? False Is 2039971 prime? True Is 88468181 composite? False Is 357902503 a composite number? True Is 310481701 composite? False Is 184545571 a composite number? True Is 135696983 a composite number? False Is 8821409 composite? True Is 242306353 a composite number? False Is 110243227 composite? False Is 8928407 a prime number? True Is 74397469 composite? True Is 4716227 prime? False Is 13795997 prime? False Is 11802851 prime? True Is 54680623 a prime number? False Is 49570883 a prime number? True Is 10565173 composite? False Is 167068927 a composite number? False Is 162761647 composite? False Is 70184759 composite? False Is 3928747 composite? True Is 5359217 a composite number? False Is 221486347 composite? True Is 6923621 composite? True Is 17575643 prime? False Is 48912167 prime? True Is 3033011 a prime number? True Is 399634849 a composite number? True Is 7395893 a composite number? True Is 174661903 a composite number? True Is 3268085 prime? False Is 2994773 a prime number? False Is 131120909 a prime number? True Is 19064681 prime? False Is 703350437 composite? False Is 7116467 a composite number? True Is 13320869 composite? False Is 172246129 composite? True Is 9184037 prime? True Is 8278889 composite? True Is 104039471 a composite number? True Is 6550879 a composite number? False Is 827850301 a prime number? False Is 256759 prime? False Is 781271 a composite number? False Is 479701 a prime number? True Is 7670966 prime? False Is 131288147 a composite number? False Is 928061 composite? True Is 58151309 a composite number? True Is 15427501 a composite number? True Is 1207693 a composite number? True Is 3852481 a composite number? True Is 384211 prime? False Is 6306341 a prime number? True Is 32654471 a prime number? True Is 1528073 prime? True Is 19989329 composite? False Is 1739508533 composite? True Is 22274267 a composite number? True Is 2666957 prime? False Is 98533789 composite? False Is 2686549 composite? True Is 1334669 a composite number? True Is 37525261 prime? True Is 86645021 a prime number? True Is 259577 a composite number? False Is 1473509 a composite number? True Is 75057343 a prime number? True Is 45173023 composite? True Is 2186411 a composite number? True Is 110682917 prime? False Is 91431193 a composite number? True Is 5109029 a composite number? False Is 107119277 prime? False Is 1383937 prime? True Is 128846237 prime? False Is 31111903 a prime number? True Is 29669401 a prime number? False Is 173246471 a prime number? True Is 262835767 a prime number? False Is 73065451 a prime number? False Is 108653081 prime? False Is 35749799 prime? False Is 4278061 prime? False Is 2284277 composite? False Is 6280831 prime? False Is 5860969 a composite number? False Is 244391 a composite number? True Is 21594889 a composite number? False Is 4254671 a prime number? True Is 24811123 prime? False Is 9333385 prime? False Is 1728061 composite? False Is 390784201 a composite number? False Is 7908605 a prime number? False Is 63151678 a prime number? False Is 1302569 a prime number? False Is 237578431 composite? True Is 83137421 composite? False Is 148670399 prime? True Is 38830058 prime? False Is 2009521 a composite number? True Is 381866073 prime? False Is 36209597 a prime number? True Is 2210881 composite? False Is 8145067 a prime number? False Is 13704391 prime? True Is 457307 prime? True Is 5444069 prime? False Is 457408687 a composite number? False Is 86465459 prime? True Is 91163 a prime number? True Is 6047185 prime? False Is 16976683 composite? True Is 165247 prime? True Is 15849439 composite? True Is 24377981 a prime number? False Is 9312487 a prime number? True Is 823117 prime? True Is 68883691 a composite number? False Is 2046937 a prime number? True Is 32143513 a composite number? True Is 1396127 a prime number? True Is 1861909 prime? False Is 18995453 composite? False Is 1604362 prime? False Is 23975521 a prime number? True Is 1229789 a composite number? True Is 1385683 prime? False Is 158375443 composite? False Is 872369 composite? False Is 185897333 a composite number? False Is 276134509 a composite number? True Is 26545587 prime? False Is 1881427 a composite number? True Is 18088427 composite? True Is 5529739 a composite number? False Is 1230037 a prime number? False Is 27147805 prime? False Is 133925437 prime? False Is 102248653 a prime number? False Is 3742451 a prime number? True Is 20102465 prime? False Is 275501399 a prime number? True Is 51499163 a composite number? False Is 5543873 prime? True Is 1083039 prime? False Is 8444911 a composite number? Tru
{ "pile_set_name": "DM Mathematics" }
(a) 92 (b) -1/5 (c) i b Let i be (-7)/(-42)*24/2. Which is the second biggest value? (a) -2 (b) i (c) -8 (d) 4 b Let b = 16.6 + -9.9. Let q = b + -6.9. Let o be 1 - ((22/3)/1 + -3). What is the second biggest value in 2, o, q, -0.4? q Let l = -1435 - -1434. Let v = 4 + -4. Let x be (-1*1)/(v + 4). What is the second biggest value in 44, x, -2, l? x Let h = 836 + -861.3. Let t = -24.9 - h. Which is the third smallest value? (a) t (b) 2/9 (c) -1/3 (d) 3 a Suppose -5*w = 2*i - 25, -w + 2*i + 18 = 5*i. Let g = 0.3 - 0.4. Let y = 0.149 + -0.049. Which is the fourth smallest value? (a) w (b) y (c) -2 (d) g a Let t = -475.0436 - -475. Let c = 1.0436 + t. What is the second biggest value in 2/127, 0, c? 2/127 Suppose -5*z + 1 - 16 = -5*w, -z - w - 5 = 0. Let t be (-14)/z - 46/92. What is the second biggest value in t, -1, -3, 2/5? 2/5 Let t = -13565.611 - -13559. Let h = t - 0.089. Let m = h - -1.7. Which is the third smallest value? (a) 3 (b) m (c) 4 c Let z = 16077/8 - 2010. Let r = 313456/7 - 44969. Let q = r + 190. Which is the third biggest value? (a) 4 (b) q (c) z (d) 1 b Let j = -0.05303 + -71.65697. Let g = -72 - j. Let a = -0.01 + g. What is the smallest value in a, 2, 0, -1/2? -1/2 Let p be 26/(-39)*36/(-96). What is the second smallest value in p, 256, 0.5, -2/3? p Let p = 243.2 + -244.4. Let u = -0.27 + -2.93. Let w = p - u. Which is the third smallest value? (a) 1/5 (b) w (c) 0.1 b Let r = 165.75 - 178.75. Which is the third biggest value? (a) r (b) -6 (c) -1/6 (d) -0.7 b Suppose -108*n + 73*n + 140 = 0. Which is the fourth biggest value? (a) 3 (b) -3 (c) n (d) -1 b Let p = -1559 - -26501/17. What is the third biggest value in -3, -0.042, p? -3 Let u = 492 + -492.372. Let d = -0.072 - -0.1. Let k = u - d. Which is the biggest value? (a) 0.5 (b) k (c) 4 c Let j = -0.7715 + 0.3715. Which is the third biggest value? (a) 1 (b) j (c) -0.261 b Let o be 6/(-16) + (-4646)/(-21008). What is the second smallest value in 2, -2, 1.9, o? o Let n = -207/40 - -24/5. Let f be (-3 - (-6)/(-3)) + 1. Let d = 1/123 - -119/492. What is the smallest value in -0.3, d, f, n? f Let k be (-16)/(-20) - 4/6. Let p = 3539 - 3541. Which is the third smallest value? (a) -9 (b) p (c) k (d) 0 d Let t = 1 + -7.2. Let l = -189 - -190.2. Let i = l + t. What is the smallest value in 0.01, i, -1? i Let c = 845/1632 - 28/51. What is the biggest value in -1, 75, c, 1/6? 75 Let n = 2632687/8965 - 392/815. Let y = -624 - -331. Let b = y + n. What is the third smallest value in 3, -1, b? 3 Let l be 15594/276 + -59 - (-1)/(2/(-3)). Let k be (-5 - 1)/1 - -1. Which is the second biggest value? (a) 1/4 (b) 8/3 (c) l (d) k a Let g be (-4 + 1 - (-250)/20) + -10. Suppose -3*q + v + 3 = 0, -q - 3*q = -2*v - 2. Which is the third smallest value? (a) 2/3 (b) g (c) 0.05 (d) q a Let p = -418 + 420. Let w = 88 - 173/2. What is the fourth biggest value in w, -1, 1/4, p? -1 Let o = -3.4499 + -0.5501. Which is the second smallest value? (a) -9 (b) -5 (c) o (d) 0 b Let k = 0.7 - 2. Let d = 1025 - 1025.2. What is the smallest value in k, d, 5/4? k Let t be (-3)/(-8) - 0/1. Suppose 2*r - 6 + 306 = 0. Let d = r + 145. What is the biggest value in 3, -3, d, t? 3 Let t = -6157.51 - -6078. Let q = -78 - t. Which is the second biggest value? (a) 2 (b) q (c) 2/9 b Let i = -0.4 - 0. Let q be (-1 - 28/(-30))/(3/(-15)). What is the second smallest value in 7, q, -0.1, i? -0.1 Let l = 26723 + -133614/5. Which is the second biggest value? (a) l (b) 2 (c) -1.135 (d) 0 a Let x(g) = -5*g + 13. Let k = -69 + 71. Suppose -k*t - 6 = -12. Let h be x(t). Which is the second biggest value? (a) 3 (b) h (c) 1 c Let d = -0.3 + -0.7. Let a = -8/1287 + -226/1287. What is the third smallest value in a, d, 14? 14 Let w = -12.53 + 0.13. Let u = -2.8 - w. Let r = -11 + u. Which is the second biggest value? (a) -5 (b) -0.4 (c) r c Suppose 3*h = 9*h - 24. Let w be ((2 - (-108)/(-15)) + 5)*-1. Let j = 1.61 - 1.11. What is the fourth smallest value in j, h, 5, w? 5 Let t = 3.5537 - 0.0537. Let i = 0.04 + -2.54. Let a = t + i. What is the third biggest value in a, 0.4, -2/3? -2/3 Let h(q) = q**2 + 36*q + 211. Let o be h(-7). Which is the second biggest value? (a) -0.1 (b) 9 (c) o (d) -0.04 c Let w be ((-1065)/(-180) + -6)/(4/18). Let z = 0.2 + 4.8. Let l = z + -5. What is the third biggest value in -0.5, l, -0.03, w? w Let o = -103.1 - -103. Let h = -866 - -37236/43. What is the smallest value in o, h, 5, -2/15? -2/15 Let s = 2/424245 - 50911/339396. Let z(x) = -2*x - 9. Let m be z(-6). Let n = -4.1 + 4. Which is the biggest value? (a) m (b) s (c) n a Let l(g) = -4*g + 28. Let x be l(6). Let t be x - 0 - 2 - 8/3. Which is the biggest value? (a) 0.2 (b) t (c) 0.55 (d) 0 c Let z be ((14/72)/((-6)/(-24)))/((-500)/600). What is the fourth smallest value in -3, -16, z, -0.4? -0.4 Let j = 181.34 + -197.6. Let p = 0.26 + j. What is the third biggest value in 2, p, -3? p Let v be (-34)/(-11)*(-2)/(-8). Let k = -3/11 + v. Let m = -4.3159 + 4.0159. Which is the fourth biggest value? (a) k (b) 6 (c) m (d) 1 c Let s be (-126)/462 - (-36)/(-231). Let j = 3.2 - 2.2. What is the fourth biggest value in 5/6, s, -2, j? -2 Let d = -0.55 - -0.6. Let v = -9 + 4. What is the biggest value in 0.3, d, v? 0.3 Let k = -108.09 + 107. Let m = -0.69 - k. Which is the second biggest value? (a) 0.5 (b) 0.1 (c) m c Let r be 12036/20060*(-5)/(-6). Let d(x) = -x + 1. Let p be d(3). Which is the third smallest value? (a) 7 (b) r (c) p a Let h = -3/3115 - -2501/9345. Let o = 0.2 - 0.3. Which is the second smallest value? (a) 2 (b) h (c) o (d) -0.3 c Let l = 0.017 + -1.017. Let t = -0.068 - 0.132. Let v = 512 - 15874/31. Which is the second biggest value? (a) t (b) v (c) l a Let n = -2254.351 - -2250. Let g = n - -0.351. What is the second biggest value in 4, 2, g? 2 Let y = 1.0187 + -6.0187. Which is the smallest value? (a) y (b) -0.2 (c) 443 (d) 0.4 a Suppose -x + 175 = m + 186, -2*x + 3*m + 8 = 0. Which is the smallest value? (a) -3 (b) -0.06 (c) 2/23 (d) x (e) -0.4 d Let r be -10 - 1925/(-121) - (-1)/11. Let y be (7 - -1)*(-3)/r. Which is the third smallest value? (a) y (b) 1/2 (c) 10 (d) -0.4 b Let j = 2.009 - -0.001. Let s = 2 - j. Let m = 80.7 - 82.7. What is the third biggest value in m, s, 0.5? m Let q = -10/49 - -32/637. What is the second biggest value in 4, 1/128, -0.3, q, 2? 2 Let b = -1928.3 - -1929. What is the smallest value in 0.1, -1/52, b? -1/52 Let x = 46.7 + -47. Let b(v) = 2*v + 9. Let f be b(-3). Let o be (-18)/104 + f/12. What is the biggest value in o, x, -1/8, -2? o Let c(j) = j**2 + 7*j - 8. Suppose 4*d = -28 - 4. Let b be c(d). Suppose -4*p - 4 = -b. What is the third smallest value in 6, p, 0? 6 Let l = 55.1 - 60.996. Let r = l + 6. Which is the third biggest value? (a) -0.4 (b) -4/3 (c) r b Let l = -2.05 + -6.85. Let s = 0.042 - -9.358. Let z = s + l. Which is the smallest value? (a) 9 (b) 0.3 (c) z b Let g = -1544/7 + 221. Let v = 0.0776324 + -5.0776324. What is the second smallest value in -42/11, g, v? -42/11 Let o = -0.1553 - -0.1553. What is the fourth smallest value in 3, -0.5, o, 382, -3/7? 3 Let p = 89/4 + -615/28. Let m be 2*((-45)/10 - -4). What is the fourth biggest value in 2, p, m, -3? -3 Let y be (-26)/60 - ((-128)/(-160) - 6/15). Which is the fourth smallest value? (a) y (b) 3 (c) -105 (d) 5 (e) -0.03 b Let z be 7 + -13 - (2 + -12) - 358/90. What is the third smallest value in 1/5, z, 19? 19 Let s = 4834 + -4829. Let c = 0.17 - -0.03. What is the second smallest value in c, s, 46? s Suppose -97*f - 174 - 2632 - 2626 = 0. Let k be 0 - 37*3/(-2). Let p = f + k. What is the second smallest value in p, -0.3, -5/7? p Suppose 2*h + 6 = 4. Suppose 14*g - 780 = 53*g. What is the second smallest value in g, 0.5, h, 4? h Let k = 4 + -8. Let x = -3316 + 16583/5. Let u be 8/(-15) - (-2)/3. Which is the third smallest value? (a) u (b) k (c) x (d) -0.4 a Let p be 35 + -35 - (1 - 244/228). Which is the second smallest value? (a) 2/7 (b) p (c) 0 b Let r = 31 - -2. Let x = r - 32.9. Let y = 1 + -1.4. What is the second biggest value in y, x, 2, -2/43? x Let z(j) = -13*j - 208. Let a be z(-16). Let k be 207/253
{ "pile_set_name": "DM Mathematics" }
prime number? True Let n(c) = 613*c**2 - 14*c - 614*c**2 + 37 + 13*c**3 + 4*c**3. Is n(6) composite? True Let a(b) = -b**3 + 20*b**2 + 41*b + 30. Let s be a(22). Let v = s - -39. Suppose 5 = -5*p, -4*g = v*p - p - 21090. Is g composite? False Let i = -68 + 74. Suppose 0 = -0*g + i*g - 9894. Is g composite? True Let r(z) = -2*z**3 + 18*z**2 + 8*z + 12. Let s be r(18). Let k = 61 - s. Is k composite? False Let u(s) = -19839*s - 547. Is u(-20) a composite number? True Suppose -24*m = -19*m - 345. Let n = m - 64. Suppose 2*z - 2*f = 288, -912 = -n*z - 5*f - 142. Is z prime? True Suppose 2*v - 4 = 4, 5*v - 295904 = -4*z. Is z/126 + (-1)/14 prime? True Let q = -11 + -3. Let x(z) = 27*z**2 + 31*z + 26. Let l(r) = -55*r**2 - 61*r - 53. Let d(o) = 5*l(o) + 11*x(o). Is d(q) composite? True Suppose -11*p = -8*p. Suppose z + 536 = -p*z - 4*h, z = 5*h - 536. Is 5 + (-28)/5 + z/(-10) composite? False Suppose -8134648 = -69*a - 44*a + 7425339. Is a a composite number? False Let m be (-10)/(40/(-12)) - -24887. Suppose m = 3*z + 7*z. Is z prime? False Let y(w) = -474*w**3 + 4*w**2 - 9*w - 48. Is y(-3) a prime number? False Let k = 565561 - 61352. Is k a composite number? False Let i(t) = -t**3 + 4*t**2 + 48*t + 69. Let h(m) = m**2 + 13*m + 8. Let n be h(-10). Is i(n) composite? False Let z = 435 + 735. Suppose 4*c - 1114 = z. Is c a prime number? True Suppose 0 = -1439*a + 1524*a - 78179350 + 13883735. Is a prime? True Let r be (14/5 + 0)*(-15)/3. Let j be 14206/14 - (24/r)/6. Suppose 0 = 5*n - 4*l - j, 5*l - 3*l = 0. Is n a prime number? False Suppose i - 42 = 56. Suppose 0 = -i*q + 94*q + 2564. Is q a prime number? True Suppose 0 = -67*m + 53*m - 700. Is 12674/10 + 20/m a prime number? False Let k = -22 + 20. Let g(n) = -1887*n - 4. Let t be g(k). Suppose -6*a = -13352 + t. Is a prime? True Let w be -6 - (1 + (3 - 4))/(-3). Is (-9 - w) + 6717 + -3 composite? True Let v(m) = 643*m - 14. Suppose 0 = -13*a + 11*a + 14. Let r be v(a). Suppose -6*f + r = f. Is f prime? True Let q = 12473 - 7330. Is q composite? True Suppose 4*c = 4*k + 540, -5*k - 474 - 65 = -4*c. Suppose -4*s = 4*d - c, -47 = -s + 4*d + 7. Is s a composite number? True Suppose 2*c = -2*c - 12, -z + 5635 = 4*c. Suppose 5*l - z = 9058. Is l composite? True Let i = -191 + 198. Suppose 8*h = -2*n + i*h + 974, -h + 1948 = 4*n. Is n a composite number? False Let t(w) = -228*w**3 + w**2 - 25*w + 33. Is t(-10) prime? True Let c = 20832 + -39235. Is c/(-14)*(1 - -1) composite? True Let b be 9204/39 + (-1 - -4). Suppose -a = 3*o - 1 - 9, 0 = -5*o - a + 20. Is (-5)/(-25)*o*b prime? True Let l be (2 - 3 - 13)*-1129. Suppose 38*y - l = 31*y. Let r = y - -3723. Is r composite? False Let v = 40025 + -21282. Is v composite? False Suppose -5*y - 5 = -15. Suppose g - y*v = -10, -3*v + 12 = 2*g + v. Let n(i) = -74*i**3 + 5*i + 5. Is n(g) a prime number? True Suppose 11*g + 536 = y + 15*g, 0 = -3*y - 3*g + 1599. Suppose -y = -h + 3. Is h composite? True Let h be (-1)/3*(7 - (-15)/3). Is 32/h + 2 + 895 composite? True Let u be 20205/65 - (-8)/52. Suppose 4*q - 925 = u. Is q prime? False Suppose -420*h - 256818 = -426*h. Is h a prime number? False Is ((-6)/(-3) - 0) + (-1 - -46392) a composite number? True Suppose -325*x + 327*x + 4*i = 295410, 0 = 5*x + i - 738534. Is x a composite number? True Let m(g) = 2*g**3 - g**2 + 1574. Let u = 80 + -80. Let l be m(u). Let h = -787 + l. Is h a composite number? False Let a(o) be the first derivative of 17*o**3/3 + 10*o**2 + 23*o + 37. Is a(-10) a prime number? True Let n = -526 - -528. Suppose n*z = -q + 11079, -14*q = -17*q - 2*z + 33241. Is q a prime number? False Let d(j) = 511*j**2 - 44*j + 2595. Is d(46) a composite number? True Let z(m) = -105*m - 1 + 0 - 8 - 2. Suppose -25*k - 130 = 170. Is z(k) prime? True Let a be (-16)/10*(-10)/8. Is (a + 2 - 14478/(-4))*2 prime? True Let l be (-438672)/(-39) + (-1 - -1) + 1. Suppose 5*a + 9*w - 4*w - 56205 = 0, 5*w - l = -a. Is a composite? False Let a(v) be the third derivative of v**6/120 + v**5/12 + 5*v**4/24 - 5*v**3/6 - 12*v**2. Let p be a(-3). Is (5/p)/(2/(-1724)) a prime number? False Suppose -4*k + 5 + 27 = 0. Let y be (-10)/25 + k/20. Suppose y = -2*w + 621 + 217. Is w a prime number? True Suppose -6*m + 3*m = w - 3655597, w + 2437068 = 2*m. Is m a prime number? True Let o be 16/10 + 3/(-5) - 1. Suppose o = 146*l - 157*l + 28149. Is l a prime number? False Let y(c) be the second derivative of 11*c**4/4 - 7*c**3/6 - c**2/2 + 12*c. Let p be y(5). Is p*(40/12 + -3) a prime number? True Suppose -k = -z + 235258, 0 = 5*z - k - 595929 - 580373. Is z a composite number? True Let p(i) = 24*i - 19. Let y be p(1). Suppose a - 2*d - 809 = 0, y*a + 4*d - 3200 = a. Is a prime? False Suppose -6*l - 7225 = -72901. Suppose 0*b = b - 5*n - l, 5*b + 2*n - 54703 = 0. Suppose b = u + 6*u. Is u composite? True Let i = 19832 + 29765. Is i a composite number? False Let w = -138096 - -275029. Is w a composite number? True Suppose -5*z = -2*f + 155, -z - 228 = -2*f - 93. Suppose p + 5*r = -1, 3*p + r + 12 = f. Suppose -p*i = -24*i + 485. Is i composite? False Let i = -4718 + 40209. Is i prime? True Suppose -11*j = -6*j - 205. Suppose -2*z + 22 = -2*h, 5*z - j = -4*h + 5. Is (95/z)/(4/40) composite? True Suppose 13*h + 9*h = 44. Let y(q) = 658*q**3 + q**2 - 12*q + 19. Is y(h) prime? False Let r(m) = 1500*m**2 - 5*m + 3. Suppose -42 = -5*h + 3*x, 0*x = 3*h - x - 26. Let d be ((-2)/(-3))/(-1*3/h). Is r(d) composite? True Suppose 0*k - 13*k = 58903. Let n = k - -8318. Is n composite? True Let j(b) = -b**3 + 6*b**2 - 8*b + 20. Let g be j(5). Suppose -2*z + 7561 = -g*q, 4*z - 13*q + 11*q - 15162 = 0. Is z a prime number? True Suppose 3*d + 980698 = 5*k, -980692 = -168*k + 163*k - 3*d. Is k prime? True Let c be (-384614)/(-26) - (0 + 14/(-91)). Suppose 6*f - c - 27609 = 0. Is f a composite number? True Let v(j) = 7421*j**2 + 14*j - 9. Let s be v(3). Suppose -2*t + s = 4*x, -3*t = 4 - 19. Is x prime? True Let w = 66 - 33. Let k = 33 - w. Suppose k = -2*i - 7 + 233. Is i prime? True Is 16739079/134*(35/(-15) + 3) a prime number? False Is (-314142)/(-17) + 124/2108 a composite number? True Suppose -4*a - 9 = 2*u - 35, 45 = 5*u + 5*a. Suppose 40 = -u*t + 4*q, -3*t = -3*q + 25 + 2. Is -4 + (t/(4/(-377)))/1 a composite number? False Suppose -4*g = -2*g + 2*y - 600934, 0 = -3*g - 5*y + 901409. Is g a prime number? True Let j be ((-159)/21 - -7)/((-2)/7). Suppose -1214 = 4*t + 5*d, j*d = 2*t + 3*d + 610. Let s = t - -859. Is s a prime number? False Let k be (-1772)/(-8) + (-3)/(-2). Let q(f) = -8*f**2 - 29*f + 18. Let r be q(-6). Let z = r + k. Is z prime? True Let f = 30107 + -12101. Suppose 0 = 8*o + 6582 - f. Suppose -5*q = -477 - o. Is q a composite number? True Let x be 63/(-6) + 2/4. Let l(h) = -48*h - 15*h - 62*h + 9. Is l(x) a prime number? True Let p be (0 + -2)/(8/20). Let h(t) = -624*t + 79. Is h(p) a composite number? True Let k = 1746998 + -1161183. Is k prime? False Let a(j) = 11078*j + 73. Is a(2) a prime number? True Let z be ((-351)/4)/((-27)/72). Suppose 3*c = 2*n - 3269 - z, -5*n = c - 8749. Suppose 5*m - n = 105. Is m composite? True Let m = -51 + -60. Let o = -103 - m. Suppose -13239 = -o*p - p. Is p composite? False Let z(o) = 10*o**3 - 7*o**2 - 8*o - 21. Let i = 85 - 75. Is z(i) a prime number? True Suppose 28*h + 1554924 = 39*h + 73*h. Is h prime? False Let z = 9730 + -6586. Suppose z = -5*t - 666. Is 4/2*t/(-4) prime? False Let s = 39 + -37. Suppose s*y = -t + 6, 15*y - t = 12*y + 9. Suppose 0 = 2*g - y*g + 4421. Is g composite? False Suppose 0 = -4*s - 5*z + 4234, -2*z + 1057 = s - 0*z. Suppose r - s = -2*u, -7*r + 3*r + 1064 = 2*u. Let c = u - 9. Is c prime? True Let n = -503 - -4064. Is n a composite number? True Let k be (-4)/32 + (0 - (-4)/32). Is (1 + k)/((-9)/(-17379)) a prime number? True Let k = 70382 + 21869. Is k a prime number? True Let n(v) = -61*v**2 - 49*v + 7. Let f be n(-6). Let k = 3474 + f. Is k composite? False Let m = -74589 - -165058. Is m composite? False Let w = 229 + -625. Let y = 577 + w. Suppose -t - y = -3*h + 580, 4*h - 4*t - 1020 = 0. Is h composite? True Let h(o) = -3*o**2 + 8*o + 11. Let s be h(4). Is (4634/35)/(s/((-2300)/8)) a prime number? False Suppose 0 = 225*g - 11046644 + 1752083 - 29292264. Is
{ "pile_set_name": "DM Mathematics" }
hat is the third derivative of -5*s**k - s**2 + 32*s**3 + 2*s**2 + 4*s**2 wrt s? 162 Differentiate 364*q**3 + 602*q - 602*q + 303 - 2*q**4 with respect to q. -8*q**3 + 1092*q**2 Let g(f) = -f - 2. Let u be g(-6). What is the third derivative of 25*w - 11*w - 14*w + 9*w**u + 11*w**2 wrt w? 216*w Find the third derivative of -18 + 29 - 11 + 317*d**2 + 311*d**4 - 75*d**4 wrt d. 5664*d Suppose -10*o - 1640 = -14*o. Suppose -j + 2*i = -4*j + o, j - 120 = -4*i. What is the second derivative of j*m**2 + 3*m + 4*m**3 - 140*m**2 wrt m? 24*m Let x = -44 + 65. Let y be x/12 + (-4)/(-16). Find the second derivative of 4*r**5 + 0*r + r + 4*r**2 - 4*r**y wrt r. 80*r**3 Let i be (-8)/(-3)*(-2 + 8). What is the third derivative of 1 - 30*j**6 + 5*j**6 - 1 + i*j**2 wrt j? -3000*j**3 Let x(j) be the third derivative of -j**6/8 + j**4/24 + 76*j**3/3 - 12*j**2 - 5*j. Find the first derivative of x(l) wrt l. -45*l**2 + 1 Let k(l) = -440*l**2 - 668*l + 5. Let j(r) = -219*r**2 - 334*r + 2. Let w(f) = -5*j(f) + 2*k(f). What is the second derivative of w(d) wrt d? 430 What is the third derivative of 49*k**2 + 189*k**2 + 131*k**5 + 79*k**2 - 46*k**2 wrt k? 7860*k**2 Let t(n) = 371*n**3 + 3*n**2 + 134*n + 12. Let o(g) = 743*g**3 + 5*g**2 + 269*g + 21. Let f(m) = -4*o(m) + 7*t(m). What is the third derivative of f(a) wrt a? -2250 Let l(f) be the third derivative of 179*f**8/112 + f**4/6 - 37*f**3/3 + 332*f**2. What is the second derivative of l(p) wrt p? 10740*p**3 Let i(f) = 29*f - 37. Let q(h) = -61*h + 74. Let r(s) = 10*i(s) + 6*q(s). What is the first derivative of r(p) wrt p? -76 Let t(n) be the first derivative of 121*n**4/2 + 107*n**3/3 - 300. What is the third derivative of t(v) wrt v? 1452 Let q(n) be the second derivative of -n**6/30 - 19*n**5/10 + 65*n**4/12 + 6*n. What is the third derivative of q(s) wrt s? -24*s - 228 Find the third derivative of -12*m**4 + 10 + 11 + 4 - 158*m**2 - 25 wrt m. -288*m Let f(w) be the first derivative of -w**6/20 - w**4/24 + 7*w**2 - 3. Let m(v) be the second derivative of f(v). Find the second derivative of m(i) wrt i. -36*i Suppose 0 = -8*b + 77 + 11. What is the derivative of -10 + 19*v + 16*v - b*v + 30 wrt v? 24 What is the first derivative of -18*m**2 - 58 + 88*m**2 + 30*m**2 wrt m? 200*m What is the second derivative of 15*k**5 + 140*k - 43237*k**2 + 0*k + 4*k**3 + 43237*k**2 wrt k? 300*k**3 + 24*k Let r = -92 + 97. Let y(d) be the second derivative of r*d + 3/2*d**2 + 0 + 0*d**3 + 1/20*d**5 + 0*d**4. Differentiate y(u) wrt u. 3*u**2 Suppose 2*o - o = 0. Let l(p) = -p**2 + p + 2. Let k be l(o). Find the second derivative of 8*r**k - r + 9*r + 0*r wrt r. 16 What is the third derivative of 626*d**2 - d**4 + 1817*d**3 - 930*d**3 - 917*d**3 - 10*d**4 wrt d? -264*d - 180 What is the second derivative of 669*q + 74*q**5 - 1 - 343*q - 352*q wrt q? 1480*q**3 Let i(a) be the first derivative of -38*a**3 + a**2/2 + 15*a - 98. What is the second derivative of i(f) wrt f? -228 Let n be (-5 + 5)*(-3)/(-3). Suppose -5*x + 2*x + 9 = n. Find the second derivative of -9*f**5 - x*f - 57 + 57 wrt f. -180*f**3 Let u(m) = -9*m - 23. Let v be u(-5). Find the second derivative of 159*l**5 - v*l + 0*l - 149*l**5 wrt l. 200*l**3 Let g(u) be the first derivative of -281*u**7/7 + 104*u**3/3 + u**2 + 114. What is the third derivative of g(c) wrt c? -33720*c**3 Let k(z) be the third derivative of -17*z**5/30 - 119*z**4/24 + 60*z**2. Find the second derivative of k(a) wrt a. -68 Let a be 2/5 - 12/30. Suppose 5*q + 0*q - 5 = a. Find the first derivative of 5*w**4 + 6 + 0*w**4 - q wrt w. 20*w**3 Let v(k) = -k**2 + 7*k - 3. Let n be 3*((-16)/(-4))/2. Let j be v(n). Find the second derivative of -j*i - 7*i + 3*i + i**4 wrt i. 12*i**2 Let b(q) = 1 - 3 - 10*q - q**2 + 5 - 17. Let t be b(-8). What is the first derivative of 7*a**4 - 67*a - 1 + 67*a + t wrt a? 28*a**3 Differentiate -21*m**3 + 2*m**4 + 21*m**3 + 10 - 36*m**3 with respect to m. 8*m**3 - 108*m**2 Let n(w) be the first derivative of w**4/2 - 45*w + 71. What is the derivative of n(p) wrt p? 6*p**2 Let q(f) = -448*f - 11. Let x(n) = -1794*n - 40. Let w(l) = -9*q(l) + 2*x(l). What is the first derivative of w(c) wrt c? 444 Let n(k) be the third derivative of 35*k**6/24 + 103*k**5/60 + 18*k**2. What is the third derivative of n(t) wrt t? 1050 Let b be 2 + -2 - (-1 - 1). Let h be 0 - -3 - (-2)/b. Find the first derivative of s + 469*s**4 - 6 - s - 474*s**h wrt s. -20*s**3 Let o(f) = -17*f**4 - 2*f**3 + 13. Let s(u) = -33*u**4 - 5*u**3 + 26. Let q = 79 - 84. Let t(g) = q*o(g) + 2*s(g). What is the derivative of t(p) wrt p? 76*p**3 Let j(w) = -404*w + 410. Let f(d) = -403*d + 404. Let x(h) = 2*f(h) - 3*j(h). What is the derivative of x(z) wrt z? 406 Suppose 3*v - 12 = 33. What is the second derivative of -3*q - 5*q - 30*q**2 + 9*q**2 - v*q wrt q? -42 Suppose -3*x + 2 = -d, -d - d - 5*x = 26. Let n = 11 + d. What is the second derivative of -z**n - 3*z - 20 + 20 wrt z? -6*z Suppose 4*u = -5*t + 5*u - 29, t - 4*u = -2. Let m(d) = 3*d**2 - 18. Let s(k) = -k**2 + 9. Let b(o) = t*m(o) - 15*s(o). Differentiate b(f) wrt f. -6*f Suppose 0 = -d + 1, 5 + 1 = 5*y - 4*d. Find the second derivative of -21*h**2 - 4*h - y*h - 12*h wrt h. -42 Suppose -15*w = -13*w - 10. Find the third derivative of -13*n + 13*n + 2*n**w + 14*n**2 + 8*n**2 wrt n. 120*n**2 Let i(p) be the third derivative of 2*p**3 - 15*p**2 + 0 + 0*p**4 - 5/12*p**5 + 0*p. Differentiate i(n) wrt n. -50*n Suppose 0 = -29*d + 7 + 138. Let g(t) be the third derivative of 0*t**4 + 1/60*t**d + 0*t - 4/3*t**3 + 3*t**2 + 0. Find the first derivative of g(v) wrt v. 2*v Differentiate -51*o**2 - 77*o**2 + 65*o**2 - 158*o**2 - 257 wrt o. -442*o Let y(q) be the third derivative of 0*q**3 + 31/120*q**6 + 0*q**4 + 13/20*q**5 + 0 + 0*q + 29*q**2. Find the third derivative of y(a) wrt a. 186 Let h(s) = -16 + s + 11 + s**3 + 5. Let v(j) = 19*j**3 - 17*j. Let x(y) = 2*h(y) - v(y). What is the second derivative of x(p) wrt p? -102*p Let c = 30 + -52. Let y be c/(-5) - 4/10. Find the third derivative of -u**2 + 4*u**2 + 9*u**y - u**4 wrt u. 192*u What is the second derivative of 44*y + 0 + 3*y**5 - y**5 + 23*y**5 - 3 + 20*y**5 wrt y? 900*y**3 Let i(q) be the first derivative of 799*q**7/7 - 65*q**3/3 + q**2 - 348. What is the third derivative of i(z) wrt z? 95880*z**3 Suppose 3*z + 0*z + 2*w - 20 = 0, -2*w = 4*z - 24. Find the first derivative of 18 - 17*g**4 - 15*g**z + 22 - 4*g**4 wrt g. -144*g**3 What is the derivative of -161 - 2*p**3 - 90 - 32*p**4 - 42 wrt p? -128*p**3 - 6*p**2 What is the second derivative of -488*r**2 - 155 - 46*r + 43*r + 71 wrt r? -976 Let v(b) be the first derivative of 19 - 28*b - 10*b**2 - b - 2 - 2. What is the derivative of v(o) wrt o? -20 What is the derivative of -83 - 305 + 36578*u - 36084*u - 166 wrt u? 494 Suppose -v + 5 + 0 = 0. Suppose 0 = v*q + 4*z - 22, 2*z - 2 = -q + 3*q. Find the second derivative of -3*t**5 - 3*t**q + 3*t**2 + 4*t + t**5 wrt t. -40*t**3 Let j(h) = -26*h**4 + 5*h**2 - 5*h - 9. Let d(z) = 77*z**4 - 14*z**2 + 14*z + 28. Let m(u) = 5*d(u) + 14*j(u). Differentiate m(b) with respect to b. 84*b**3 What is the first derivative of -250 - 38*h + 104*h - 34*h - 16*h**2 - 36*h wrt h? -32*h - 4 Let i(u) = 5*u**3 + 50*u**2 + 2*u - 1. Let b(y) = y**3 - y**2 + 2*y - 1. Let n(p) = -3*b(p) + i(p). Find the second derivative of n(c) wrt c. 12*c + 106 Let d(i) be the second derivative of 5/2*i**2 + 5/24*i**4 + 5*i + 0 - 2/3*i**3. Let b(y) be the first derivative of d(y). Differentiate b(w) wrt w. 5 Let h(o) be the first derivative of 0*o**4 - 13 + 0*o**2 + 9/5*o**5 + 0*o**3 - 10*o. Differentiate h(d) with respect to d. 36*d**3 Let s(x) = -x - 1. Let m be s(-7). What is the third derivative of -3*q**m - 4*q**6 - q**2 + 15*q**2 + 4*q**6 wrt q? -360*q**3 Suppose 5*g = -5*w + 75, -4*w + 4*g + 16 = -4. Let i be w/(-55) - 46/(-11). Differentiate -u + u + 3*u - i - u wrt u. 2 Let s(m) = 14*m**4 + 4*m**3 - 4*m**2 - 5. Let b(c) = -29*c**4 - 9*c**3 + 9*c**2 + 10. Let y = 17 + -8. Let p(l) = y*s(l) + 4*b(l). Differentiate p(g) wrt g. 40*g**3 Let b = -54 + 58. Let p be (1 - (-1 + 4))/(-2). What is the derivative of -b + 0 + p - 3 - 6*q wrt q? -6 Let r = -9 - -10. Suppose -3*s + r = 4*j + 2, 5 = 4*j + s. What is the derivative of -3 + 3*w**2
{ "pile_set_name": "DM Mathematics" }
from {m: 5, v: 8}. What is prob of sequence mvvm? 28/429 Three letters picked without replacement from uouoydi. What is prob of sequence yud? 1/105 What is prob of sequence wc when two letters picked without replacement from {w: 1, j: 4, c: 2, s: 2}? 1/36 Two letters picked without replacement from iyiiyyyyiyiiiyiyyiii. What is prob of sequence yi? 99/380 Two letters picked without replacement from wsswwowwwfowswswswkw. Give prob of sequence so. 1/38 Three letters picked without replacement from nndwdndnvwnndnndod. What is prob of sequence odw? 1/408 Calculate prob of sequence yyw when three letters picked without replacement from thtmwyhqymqyqq. 1/364 Calculate prob of sequence qxr when three letters picked without replacement from {d: 1, x: 1, k: 2, q: 1, r: 1, s: 1}. 1/210 Three letters picked without replacement from {s: 7, q: 9}. What is prob of sequence sqq? 3/20 Four letters picked without replacement from {e: 1, o: 1, s: 4, i: 3, z: 4}. What is prob of sequence szsi? 6/715 Calculate prob of sequence rev when three letters picked without replacement from woovvreverrrverrewdo. 4/285 Calculate prob of sequence pyyy when four letters picked without replacement from {q: 4, p: 2, b: 3, y: 10}. 5/323 What is prob of sequence wmw when three letters picked without replacement from {y: 8, m: 2, w: 2}? 1/330 Four letters picked without replacement from {g: 14, z: 5}. What is prob of sequence zggg? 455/3876 What is prob of sequence kr when two letters picked without replacement from cccdrddkdkc? 1/55 What is prob of sequence jr when two letters picked without replacement from zzjvxvjazzvrzvzrrjrv? 3/95 Four letters picked without replacement from xwgkwwxvwrkgw. What is prob of sequence krgk? 1/4290 Two letters picked without replacement from jfffatjwff. Give prob of sequence fa. 1/18 Calculate prob of sequence bbw when three letters picked without replacement from {w: 6, j: 2, b: 4, m: 1, s: 3}. 3/140 Calculate prob of sequence es when two letters picked without replacement from xebbzeeezebeyesex. 1/34 Calculate prob of sequence uuz when three letters picked without replacement from zuuuuuuz. 5/28 Calculate prob of sequence fkd when three letters picked without replacement from {f: 8, k: 4, d: 8}. 32/855 What is prob of sequence ggg when three letters picked without replacement from gggggghghgghgggggggg? 34/57 Two letters picked without replacement from {c: 2, r: 1, s: 1, o: 2, z: 5, n: 4}. What is prob of sequence so? 1/105 Two letters picked without replacement from {i: 1, c: 1, k: 2}. Give prob of sequence ci. 1/12 Two letters picked without replacement from eetebttb. Give prob of sequence tt. 3/28 What is prob of sequence kqa when three letters picked without replacement from {j: 4, q: 5, y: 4, a: 1, k: 2, m: 4}? 1/684 Two letters picked without replacement from {z: 3, a: 4}. What is prob of sequence az? 2/7 What is prob of sequence hh when two letters picked without replacement from {k: 4, p: 5, h: 5}? 10/91 Calculate prob of sequence iisy when four letters picked without replacement from {s: 1, i: 3, c: 2, y: 1}. 1/140 Calculate prob of sequence utuu when four letters picked without replacement from umuttutttuu. 5/132 What is prob of sequence wwrr when four letters picked without replacement from {r: 4, w: 2}? 1/15 Three letters picked without replacement from {w: 5, j: 3, x: 3}. What is prob of sequence xxj? 1/55 Three letters picked without replacement from {h: 4, e: 3, i: 4, r: 8}. Give prob of sequence iii. 4/969 What is prob of sequence jjwm when four letters picked without replacement from {j: 6, m: 1, w: 2, i: 3}? 1/198 What is prob of sequence dm when two letters picked without replacement from lcmld? 1/20 Three letters picked without replacement from {u: 2, v: 2, j: 1}. Give prob of sequence vvj. 1/30 Calculate prob of sequence jb when two letters picked without replacement from {b: 1, j: 3}. 1/4 Calculate prob of sequence ffi when three letters picked without replacement from {f: 7, u: 5, h: 2, v: 2, n: 3, i: 1}. 7/1140 What is prob of sequence qoo when three letters picked without replacement from rqrnkrqrqqromqko? 1/336 Two letters picked without replacement from {e: 1, l: 3, a: 1, d: 1, q: 1}. Give prob of sequence le. 1/14 Calculate prob of sequence pyl when three letters picked without replacement from {e: 1, o: 1, y: 2, l: 2, p: 1, r: 2}. 1/126 What is prob of sequence oi when two letters picked without replacement from izgozgroggfgfzg? 1/105 Two letters picked without replacement from oololllwooww. What is prob of sequence ow? 5/44 Four letters picked without replacement from lnalnllnllanlllall. Give prob of sequence llaa. 11/1224 What is prob of sequence xp when two letters picked without replacement from {j: 2, x: 4, p: 1, a: 10}? 1/68 Calculate prob of sequence cc when two letters picked without replacement from rrcrc. 1/10 Three letters picked without replacement from kkkkkkykkkkkkkyykkkk. Give prob of sequence yyk. 17/1140 Four letters picked without replacement from {a: 8, j: 5, s: 4}. What is prob of sequence jsaa? 1/51 Three letters picked without replacement from {y: 5, a: 1, e: 4, q: 2, n: 2}. Give prob of sequence qya. 5/1092 What is prob of sequence yx when two letters picked without replacement from {x: 3, y: 1}? 1/4 What is prob of sequence ll when two letters picked without replacement from {o: 2, w: 1, l: 2, x: 1, d: 1, a: 1}? 1/28 Calculate prob of sequence hh when two letters picked without replacement from {s: 1, j: 1, o: 1, h: 2, u: 2, a: 1}. 1/28 Four letters picked without replacement from kmkmmmmkwmmp. Give prob of sequence mkmw. 7/660 Three letters picked without replacement from {t: 4, v: 7}. Give prob of sequence vvv. 7/33 Two letters picked without replacement from zzz. Give prob of sequence zz. 1 Three letters picked without replacement from {z: 1, g: 2, b: 1, o: 1, f: 1, e: 1}. What is prob of sequence bef? 1/210 Three letters picked without replacement from vvmvmrmv. Give prob of sequence vmm. 1/14 Four letters picked without replacement from mozzlnp. Give prob of sequence nmzl. 1/420 Four letters picked without replacement from bnbgbbgbbggnbggggb. What is prob of sequence bnbn? 7/4590 Three letters picked without replacement from nnnnnnn. Give prob of sequence nnn. 1 Four letters picked without replacement from {u: 1, h: 3, q: 1, m: 1, p: 1}. Give prob of sequence muqh. 1/280 What is prob of sequence xh when two letters picked without replacement from hxhxhhh? 5/21 Two letters picked without replacement from wjvcwvhjwjwwvcc. What is prob of sequence ch? 1/70 Three letters picked without replacement from rortrrortttt. Give prob of sequence trr. 5/66 Two letters picked without replacement from jmljepp. Give prob of sequence mp. 1/21 Calculate prob of sequence nj when two letters picked without replacement from njciunl. 1/21 What is prob of sequence nb when two letters picked without replacement from bnrnrnnbb? 1/6 Four letters picked without replacement from {y: 5, m: 7}. Give prob of sequence mymm. 35/396 What is prob of sequence jjy when three letters picked without replacement from {j: 1, y: 2, a: 1, z: 1, r: 2, h: 2}? 0 Two letters picked without replacement from {r: 3, c: 3, j: 1}. What is prob of sequence rj? 1/14 Two letters picked without replacement from eussseecsssec. Give prob of sequence ee. 1/13 Three letters picked without replacement from {n: 2, f: 1}. Give prob of sequence nnf. 1/3 Two letters picked without replacement from {q: 6, s: 7, n: 2}. What is prob of sequence nq? 2/35 Two letters picked without replacement from yysybyybhsshs. What is prob of sequence hs? 2/39 Three letters picked without replacement from qqskksqqs. What is prob of sequence qqq? 1/21 Three letters picked without replacement from iaiiiaifffapia. What is prob of sequence ipf? 3/364 What is prob of sequence tz when two letters picked without replacement from zsgzzsttztg? 6/55 What is prob of sequence zx when two letters picked without replacement from dzzxx? 1/5 Two letters picked without replacement from {n: 3, c: 2, u: 4, d: 10}. Give prob of sequence cd. 10/171 Two letters picked without replacement from {j: 3, z: 15}. Give prob of sequence jz. 5/34 Three letters picked without replacement from sdsvs
{ "pile_set_name": "DM Mathematics" }
f**2 - 10*f**2 + 6*f**2 - 4*f. Let u(t) = 4*t**2 + 9*t. Let z(x) = 9*h(x) + 4*u(x). What is g(z(d))? -4*d**4 Suppose -2*g = 5*t - 14, -4*g = -t + 2*t - 10. Let z(j) = -j**2 + 2*j**t - 2*j**2. Let s(o) = -o**2. Calculate s(z(m)). -m**4 Let d(r) = -2*r**2. Let s(t) = -153*t - 29. Calculate d(s(m)). -46818*m**2 - 17748*m - 1682 Let i(t) = 3*t - 2*t - t - t. Let x(u) = -21*u**2. Let k(r) = 5*r**2. Let b(o) = 9*k(o) + 2*x(o). Calculate b(i(h)). 3*h**2 Let m(g) = -g. Let u(l) = -415*l**2. What is u(m(x))? -415*x**2 Let w(m) be the first derivative of -m**2 - 1. Let o(z) be the first derivative of -z**2/2 - 3. Let n(v) = -4*v. Let g(u) = -n(u) + 3*o(u). Determine w(g(a)). -2*a Let m(q) = -35*q. Let z(l) be the second derivative of l**4/6 + 2*l + 20. What is m(z(r))? -70*r**2 Let v(p) = p**2 - 3*p**2 + 3*p**2 + 2*p**2. Let h(g) = g. Determine h(v(b)). 3*b**2 Let m(j) = j**2 + j - 4. Let z be m(3). Let w(s) = z*s + s - s - 2*s. Let c(x) = -2*x. What is c(w(p))? -12*p Let z(k) be the first derivative of k**2/2 + 16. Let x(f) = f**2 + f**2 - f**2. Let j(c) = -3*c**2. Let w(t) = -j(t) - 4*x(t). Calculate w(z(p)). -p**2 Let x(m) = 3*m. Let g(n) = 15*n. Calculate g(x(a)). 45*a Let p(f) = -7*f**2 - 5*f + 5. Let b(x) = 4*x**2 + 3*x - 3. Let v(t) = -5*b(t) - 3*p(t). Let j(n) be the first derivative of -5*n**2/2 + 1. What is v(j(r))? 25*r**2 Let k(a) be the third derivative of -a**5/30 + a**2. Let o(s) = 2. Let w(b) = b + 9. Let g(m) = 9*o(m) - 2*w(m). Give g(k(l)). 4*l**2 Suppose -4*j + 22 = 3*i, -8*i + 4*i + j + 4 = 0. Let k(h) = -3*h - i*h**2 + 3*h. Let d(x) = 3 - 3 + x. What is k(d(z))? -2*z**2 Let v(n) = 1055*n**2. Let p(j) = -2*j. Determine v(p(a)). 4220*a**2 Let l(b) = -b. Let r(s) = -5*s. Let x(z) = 3*l(z) - r(z). Suppose 4*v - 13 = 4*d + 7, 5*d + v = 5. Let m(o) = d*o + o + o. Calculate m(x(i)). 4*i Let l(u) be the second derivative of 4*u**3/3 - 33*u. Let z(j) be the first derivative of j**3/3 - 1. Give z(l(o)). 64*o**2 Let r(n) = -2*n**2. Let f(o) be the third derivative of 7*o**5/60 - 7*o**2. Determine r(f(h)). -98*h**4 Let q = -1 - -2. Let f be ((-18)/(-36))/((1 - 2)/(-2)). Let u(h) = -f + 4*h + q - 2*h. Let s(z) = -2*z**2. What is u(s(b))? -4*b**2 Let x be (-2 - 0) + 2*11. Let s(p) = -p**2 + 5*p + 5. Let a(g) = -g - 1. Let h(w) = x*a(w) + 4*s(w). Let k(b) = -b**2. Determine h(k(i)). -4*i**4 Let y(c) be the second derivative of -c**4/3 - 30*c. Let s(f) = -f**2. Determine y(s(l)). -4*l**4 Let f(i) be the third derivative of 0*i + 1/24*i**4 + 0*i**3 + 0 + i**2. Let u(v) = -3*v. Give u(f(c)). -3*c Let x(i) be the third derivative of i**5/60 + 3*i**2. Let d(f) = 0*f + 3*f - 5*f. Give x(d(j)). 4*j**2 Let s(k) = 5*k - 9*k + k. Suppose -1 - 9 = -5*v. Let l(p) = 3*p + 2. Let z(h) = -4*h - 3. Let a(t) = v*z(t) + 3*l(t). Calculate a(s(j)). -3*j Let m(k) = k**2. Let r(x) = 41*x + 1. Determine r(m(d)). 41*d**2 + 1 Let n(t) = 2*t**2. Let f(z) = -25499*z**2. What is n(f(r))? 1300398002*r**4 Let a(u) = 2*u**2. Let v(w) = -6*w**2. Give v(a(c)). -24*c**4 Let a(s) = 20*s - 2. Let m(w) = 2*w. Calculate m(a(c)). 40*c - 4 Let u(p) = 4*p. Let z(g) = -42 + 42 - g + 2*g. Calculate z(u(r)). 4*r Let u(p) = 2*p**2. Let z(q) = -q - 8. Let d be z(-10). Let v(g) be the first derivative of -d + 0*g - 1/2*g**2. Calculate u(v(k)). 2*k**2 Suppose -4*y = -5*m + 2, -4*y + 4*m + 4 = 2*m. Let q(v) = -2 + y + 7*v. Let f(c) be the third derivative of -c**4/12 - 6*c**2. Give f(q(w)). -14*w Let b(d) = 3*d**2. Let z(c) = 4*c. Let t(s) = -8*s. Let u(i) = 2*t(i) + 5*z(i). Determine b(u(y)). 48*y**2 Let g(i) = 8*i + 6. Let y(t) = -7*t - 5. Let p(h) = 5*g(h) + 6*y(h). Suppose -4*z = -3*z - 2. Let c(v) = 3*v**z + v + 3*v - 4*v. Calculate p(c(m)). -6*m**2 Let y(j) be the third derivative of j**4/12 - 55*j**2 + j. Let p(o) = 5*o**2. Determine p(y(h)). 20*h**2 Let z(g) = g**2. Let f(l) = 221*l**2 - l. Determine f(z(v)). 221*v**4 - v**2 Let f(v) = -10*v**2. Suppose 6*m - 2*m + 4*o = 0, 0 = -3*m + 4*o + 35. Let b(i) = m*i - i + i - 4*i. Give b(f(z)). -10*z**2 Let d(n) = -13*n. Let r(v) = -23*v**2. Give d(r(f)). 299*f**2 Let r(i) = 3*i. Let d(m) = -2*m**2 + 6*m + 6. Let s(b) = -4*b**2 + 11*b + 11. Let h(n) = 11*d(n) - 6*s(n). Determine h(r(c)). 18*c**2 Let q(n) be the third derivative of 17*n**5/60 + 7*n**2. Let p(w) = -w. What is q(p(v))? 17*v**2 Let r(c) be the first derivative of 2*c**2 - 1. Let t(f) = 3*f. Determine r(t(b)). 12*b Let i(z) = -3*z**2. Let d(g) = 3*g**2 + g**2 + 2*g**2. Determine i(d(q)). -108*q**4 Let w(x) = -33*x. Let a(y) = -19*y**2. What is w(a(b))? 627*b**2 Let k(t) = -20*t**2. Let n(v) = 8*v**2. Give k(n(w)). -1280*w**4 Let n(p) = -2*p. Let q(l) = -2*l - 29. Give n(q(h)). 4*h + 58 Let q(b) = 9*b**2. Let m(c) be the first derivative of 0*c + 0*c**2 + 1 - 1/3*c**3. Determine q(m(g)). 9*g**4 Let k(c) = 26*c**2 + 1. Let r(n) = -8*n. Determine k(r(u)). 1664*u**2 + 1 Let j(m) = 30*m + 3. Let c(z) = -61*z - 5. Let n(w) = 3*c(w) + 5*j(w). Let a(s) = s. Calculate a(n(i)). -33*i Let q(n) = 29*n**2 + n. Let c(i) = i. Give q(c(a)). 29*a**2 + a Let j(u) = 3*u. Let g(n) = 37*n - 37*n + 2*n**2. Calculate g(j(m)). 18*m**2 Let j(s) = -2*s. Let b(w) = 12*w + 2. Determine b(j(f)). -24*f + 2 Let i(q) = 2*q. Let u(v) = -42*v**2. Determine u(i(b)). -168*b**2 Let n(w) be the second derivative of -w**6/180 + w**4/6 - 4*w. Let l(o) be the third derivative of n(o). Let x(q) = -q**2. Calculate x(l(s)). -16*s**2 Let x = 14 - 12. Let j(t) = -2*t**2 + 3*t**2 + 2*t**2 - x*t**2. Let y(n) = 4*n**2. Determine y(j(k)). 4*k**4 Let l(i) = -47*i. Let c(u) = 3*u**2. Calculate l(c(y)). -141*y**2 Let f(a) = 52*a + 53*a + 49*a - 33*a. Let n(b) = 2*b**2. What is n(f(m))? 29282*m**2 Suppose 5*u = -3*d + 17, 0 = 4*u + d - 0*d - 15. Let w(z) = -u*z + z + z + z. Let c(g) = -4*g**2. Calculate c(w(x)). -4*x**2 Let k(w) = 3*w. Let g(v) = -3636*v. What is g(k(l))? -10908*l Let m = -1 - -3. Let s(f) = m*f**2 + f**2 - 5*f**2. Let l(h) = -h**2. Determine s(l(y)). -2*y**4 Let t(y) = -4*y. Let z(a) = -a - 2. Let q be z(-5). Let b(f) = -6*f - q*f + 6*f + 2*f. Determine t(b(m)). 4*m Let b(d) be the second derivative of -13*d**4/12 + 14*d. Let z(h) = -h**2. Determine b(z(y)). -13*y**4 Let y(u) = -2*u**2. Suppose 5*k = d - 3, -3*k + 2*d + 7 = -6*k. Let v(n) = n**2 - n + 1. Let h(g) = -g + 1. Let r(q) = k*v(q) + h(q). Calculate r(y(c)). -4*c**4 Let b(v) = 7*v - 1412. Let z(g) = -2*g. Determine z(b(t)). -14*t + 2824 Let f(o) = -2*o**2. Let b(l) be the third derivative of -l**6/60 + l**3/2 - l**2. Let z(h) be the first derivative of b(h). Determine z(f(p)). -24*p**4 Let j = 0 + 4. Let q(l) = l + 0*l - 4*l + j*l. Let k(w) = -2*w**2. Calculate k(q(n)). -2*n**2 Let v(i) = -322*i + 115. Let o(f) = -17*f + 6. Let j(u) = -115*o(u) + 6*v(u). Let n(w) = -w**2. Determine j(n(c)). -23*c**2 Let t(q) = 9*q**2. Let z = -45 + 177. Let o(n) = -132*n - 2*n**2 + z*n. Determine t(o(g)). 36*g**4 Let c(n) = -n**2. Let r(s) = -16*s + 6*s - 228 + 228. Give c(r(i)). -100*i**2 Let o(u) = u**2 - 4*u + 4. Let z(r) = r - 1. Let q(s) = o(s) + 4*z(s). Let b(p) = -13*p**2. Calculate q(b(l)). 169*l**4 Let s(y) = -y - 1. Let m(g) = -3*g - 1. Let k(i) = m(i) - s(i). Let u(v) be the third derivative of v**4/8 - v**2. Calculate k(u(a)). -6*a Let a be -2 - (2 - 3 - 16). Suppose -5*o - 26 = -101. Let s(g) = -g + a - o. Let p(v) = -v**2. What is p(s(m))? -m**2 Let z(j) = -2*j**2. Let h(g) = 12*g**2 - 12. Let b(t) = -t**2 + 1. Let r(o) = 10*b(o) + h(o). What is z(r(d))? -8*d**4 + 16*d**2 - 8 Let c = -14 - -21. Let f(k) = k + k + 3*k - c*k. Let q(n) = 3*n**2 - 2*n + 2. Let s(b) = -13*b**2 + 9*b - 9. Let p(o) = 18*q(o) + 4*s(o). What is p(f(i))? 8*i**2 Let n(b) be the first derivative of b**2 + 16. Let m(r) be the first derivative of 4*r**3 - 2. Give n(m(q)). 24*q**2 Let r(h) = -14*h. Let i(l) = 2*l + 12. Determine r(i(d)). -28*d - 168 Let k(d) = 3*d**2 - 16. Let c(y) = 6*y + 1. Determine k(c(i)). 108*i**2 + 36*i - 13 Let c(u) = -u**2. Let g(r) = 22*r - 36*r + 21*r. Determine c(g(j)). -49*j**2 Let y(a) = 2*a**2. Let i = 31 + -22. Let g(p) = -18*p - 1 - 8 + i. Determine y(g(j)). 648*j**2 Let d(v) = 368*v**2. Let b(y) = -2*y**2. Calculate b(d(i)). -270848*i**4 Let o = -17 + 19. Let q(n) = -16 - 9*n**o + 16. Let w(p) = 2*p**2. What is w(q(f))? 162*f**4 Let s(p) = -10*p. Let n(v
{ "pile_set_name": "DM Mathematics" }
ue in p, n, k? k Let g = -72 + 67. Let q be (1 - 2)/((-3)/(-2)). Which is the smallest value? (a) q (b) 4 (c) g c Let s = -1.3 - 9.7. Let h = s - -15. Let z = 3 + 2. What is the third smallest value in z, h, 5/2? z Let u = -10.9 - -13.9. What is the second smallest value in 0.2, 5, u? u Let i = -0.85 - 0.15. Which is the fourth biggest value? (a) -3 (b) i (c) 3/4 (d) -0.2 a Suppose -25*b + 18*b - 7 = 0. What is the second biggest value in b, 5, -0.2, -4? -0.2 Let l = -3.063 - -0.063. What is the third smallest value in 5, l, -1/4, 0? 0 Let w = 8.81 + 0.19. Let h = -189/1384 + 2/173. What is the second biggest value in h, -2, w? h Let h be (15/9)/5*(-18)/39. Which is the second smallest value? (a) -0.3 (b) 3/4 (c) 4 (d) h d Let w = 108 - 108. Which is the third smallest value? (a) 3 (b) w (c) -3 (d) 1/2 d Let o = -7 - -57/8. What is the smallest value in o, -2, -2/17? -2 Let w = -4.41 + -0.59. Which is the second smallest value? (a) 4 (b) -2/5 (c) w b Let i = -94/287 - 10/41. Let s = 0 + -3. Let q be (1/(-8))/(s + 2). Which is the biggest value? (a) 0.4 (b) q (c) i a Suppose 4*z - 2*z = -4*j + 16, -4*j + 10 = 5*z. Let d be 5/4 + -1 + 0. Which is the second biggest value? (a) d (b) z (c) 3 a Suppose 5*z - 2*s + 0 = 26, -4*z + 13 = s. Suppose 4*t + 1 = -z*o - 15, 4*t - 8 = 4*o. Let r = -0.06 + -0.24. Which is the smallest value? (a) r (b) -4 (c) t b Suppose 12 + 4 = -16*z. What is the third biggest value in -0.1, 0, z, 1? -0.1 Let i = 2.6 + -0.6. Let t = -15 + 10. Let x = t + 3. Which is the biggest value? (a) -3 (b) x (c) i c Let p be 2/((-6)/(-159)) - 1. Let r = 209/4 - p. Which is the smallest value? (a) 0.3 (b) r (c) 0.5 b Let q = 14 - 13.9. Which is the third biggest value? (a) q (b) -1/3 (c) -10 (d) -4 d Let r = 7 - 11. Let l be ((-2)/16)/(2/(-16)). Which is the third smallest value? (a) l (b) 3 (c) r b Let j(n) = -n - 4. Suppose 0 = -4*k + 3*f - f - 8, 12 = 2*k + 3*f. Let d be j(k). Let w be 4/6*d/(-8). Which is the smallest value? (a) w (b) -2/7 (c) -4 c Let f(s) = 3*s**3 - s**2 - s - 1. Let l be f(-2). Let k be (9/l)/((-10)/(-24)). Which is the biggest value? (a) k (b) -5 (c) -1/3 c Suppose -3*r = 2*r - 25. What is the smallest value in 1/3, r, -0.1? -0.1 Let w = 5.3 + -5.3. Let n = 15 + -9. Suppose -25 = n*y - y. Which is the third smallest value? (a) w (b) y (c) 4 c Let o = 23 - 24. Which is the second biggest value? (a) -5 (b) o (c) 0.2 b Let u = -0.3 - -0.2. Let x = 0.2 + -0.4. Which is the third biggest value? (a) u (b) x (c) -5 c Let u = 30.3 + -30. Let o = 3 - 3.4. Let v = o + 0.2. What is the second biggest value in v, 2/7, u? 2/7 Let c = 8 + -11. Let p = c + 1. Let k = 2 - 2.5. What is the third smallest value in p, k, 2/11? 2/11 Let q = 38.97 + -39. Let x = -2.33 - -2.2. Let z = x - q. What is the third smallest value in z, -2/7, 6? 6 Let d = -37 + 40. Let b = 4 - 10. Let o = b - -4. What is the third smallest value in 4, o, d? 4 Let w(i) = -2*i - 2 - 2 + i. Let s be w(-8). What is the second smallest value in 1, s, 0? 1 Let t = 0.6 + -5.6. Which is the second biggest value? (a) 2 (b) 0.4 (c) -2 (d) t b Let l(d) = d**3 - d**2 - d. Let j be l(2). Let g(k) = -k**2 + 2*k + 1. Let h be g(j). Which is the second smallest value? (a) 0 (b) -1/8 (c) h a Let p = 9.03 - 0.03. Let g = p - 11. Which is the biggest value? (a) 2 (b) g (c) -6 a Let f = -9 - -9.4. What is the second biggest value in -7, f, -0.2? -0.2 Let o = 4 - 3. Let h be (0/(2 + o))/(-1). Suppose -14 = 3*j + 1. What is the smallest value in j, 2/5, h? j Suppose 5*w - w - 17 = m, 4*m - 27 = -3*w. Let i be (4/m)/4*1. What is the third biggest value in -2, i, -3/2? -2 Let q = 6 - 5.95. Let s = -3.05 + q. Let x = s + -1. Which is the smallest value? (a) 0.5 (b) x (c) 1 b Let n = 16.3 - 0.3. Let p = -19 + n. Which is the second biggest value? (a) 1 (b) p (c) 2/3 c Let n = 177 + -175. Let y be -1 - ((-4)/30 + -1). Which is the smallest value? (a) -1 (b) n (c) y a Let i = 21349 - 149731/7. Let h(r) = -r**3 + r - 41. Let s be h(0). Let u = s - i. Which is the biggest value? (a) u (b) 0.1 (c) -0.5 a Let l(r) = r - 3. Let o be l(7). Which is the biggest value? (a) 5 (b) o (c) 3/7 a Suppose 5*z - 5*i = 15, 4*i = 6 + 2. Suppose -k = 6 - 1. Let l(s) = s**3 + 4*s**2 - 7*s - 6. Let o be l(k). Which is the biggest value? (a) 3 (b) z (c) o b Suppose 3*h - 4*j + 1 = 0, 5*h + 0*j - 3 = 2*j. What is the biggest value in -1/4, h, 2? 2 Let f(d) = 4*d - 3. Let l be f(2). What is the biggest value in 0.09, -1/5, l? l Let x be ((-5)/(70/(-4)))/((-15)/(-21)). What is the biggest value in x, -0.4, -1/6, -0.5? x Let q = 77 + -71. What is the second biggest value in -2, 0.3, q? 0.3 Let v = -1.6 + -0.4. What is the second biggest value in v, 3, 4/9? 4/9 Suppose 3*z - 1 = -7. Let l be -3 + (-74)/(-14) + z. What is the biggest value in l, 2, -2/3? 2 Let t = -0.1 + 0.4. Let f = -80 - -801/10. Let g = 7/20 - f. Which is the third smallest value? (a) g (b) 4 (c) t b Let x = 11829 + -1182917/100. Let d = x - 2/25. What is the smallest value in 3, d, -0.3? -0.3 Let x = -4 - -3. Let r = -1 - -1.5. Let h = -165 - -164.9. What is the second biggest value in r, h, x? h Let o = -129.6 + 130. Which is the second biggest value? (a) -0.5 (b) 2/3 (c) o c Let f be (-9)/(-21) + 30/(-21). What is the third biggest value in f, -7, 1/2? -7 Let s = -3 + 3.5. Suppose -2*i - 3*d - 8 = 0, -4*i = d - 3*d + 16. Let y be i + -2 + 2 - 1. What is the biggest value in 0.3, s, y? s Let t be ((-5)/(-15))/(1/(-3)). Let p be (t/3 - -1) + 0. Let m be (2*1)/(2 + -3). Which is the third biggest value? (a) -1/2 (b) p (c) m c Let q be (-2)/((-56)/(-3 + -1)). Which is the second biggest value? (a) -1/23 (b) 1/3 (c) q a Let m = 1/27 + -19/27. Let h be (-102)/(-663) + 81/65 + -1. Which is the third smallest value? (a) h (b) m (c) -2 a Let y be 4/(-78)*(7 + -1). Let l = 182 - 182. Which is the second smallest value? (a) y (b) 2 (c) l c Let v be 65/20 + (-1)/4. Let k = -3 - -7. Let d = -7 + k. What is the biggest value in v, -4, d? v Let i = -105 + 947/9. Let z(g) = -g**3 - 12*g**2 - 10*g + 10. Let b be z(-11). What is the third smallest value in b, 3, i? 3 Let l(z) = -z**2 - z - 1. Let v be l(0). Let j = -2 - -7/4. Let r = -37/119 + 3/119. Which is the second smallest value? (a) v (b) j (c) r c Suppose -5*c - 4*g - 25 = 0, 5*c - 6 = 4*g + 9. What is the second smallest value in 0.2, -4, c, -2? -2 Let w = -0.092 + 0.052. What is the third smallest value in 0.1, -1, w? 0.1 Let i = -2/3 + 1. Let g be (0 - -1)/((-33)/(-6)). What is the third smallest value in i, -2/5, g? i Let g = 43 + -214/5. Suppose -6*r + 3*r = 162. Let a = r + 379/7. What is the second biggest value in -2/5, a, g? a Let h = 0 + 2.4. Let f = 0.4 - h. Which is the smallest value? (a) -2/11 (b) f (c) -1/5 b Let s be (6/18)/(1/3). Let v be s/((-3)/(3 + 6)). Let d = 0.6 - 2.6. Which is the smallest value? (a) 0.5 (b) d (c) v c Let s(f) = 5*f - 1 - 31*f - 31*f + 14*f. Let l be s(-1). Let n be (-9)/l + 4/(-14). Which is the third biggest value? (a) 2/11 (b) n (c) -2 c Let d = -9 - -11. Let p = -2.4 + d. Which is the third smallest value? (a) p (b) 3 (c) 1 b Let k = 0.612 - 0.112. Let q = 203/10 - 43/2. Which is the second smallest value? (a) 0 (b) k (c) q a Let m = 46.9 - 44. Let p = 3 - m. Let u = -3.1 - -3.6. Which is the third smallest value? (a) p (b) u (c) 5 c Let z be -2 - -1*(3 - 2). Let k = -8.2 - -9. Let a = k - -4.2. What is the biggest value in a, 2, z? a Let o = 2.8 - 3. Suppose -3*f = -4*w + 35, 3*w + 4*f - 3 - 17 = 0. Let p be -2 - -4 - (w - 2). Which is the biggest value? (a) o (b) 0.4 (c) p b Let k be 7/39 - 1/3. Let z(v) = v**3 - 6*v**2 + 6*v - 7. Let u be z(5). Let c = u + 0. What is the biggest value in k, 0, c? 0 Let l = -2.5 + 2. Let m = -15.2 + 15. What is the second smallest value in -3, l, m? l Suppose -1 - 14 = 3*v. Let w be (v + 4)/(4/1). Which is the second smallest value? (a) 0.3 (b) w (c) -1 b Let z = 2 + -2.5. Let v = z - -0.7. Let p = -1/6 - -5/12. Which is the third smallest value? (a) -0.4 (b) p (c) v b Let c(v) = v**2 - 8*v + 1. Let h(b) = -8*b. Let m be h(-1). Let r be c(m). Let p = -27/2 - -14. What is the third bigge
{ "pile_set_name": "DM Mathematics" }
)**34 assuming b is positive. b**(-3604/13) Simplify (s/(s*s/(s*s**(-1/12)*s)))/s**(-9)*s/(s*s/(s*s*(s*s**9/s)/s)*s)*s*s*s**(1/2) assuming s is positive. s**(245/12) Simplify ((m**(-3)/m**(-2/13))**(2/63))**(-27/4) assuming m is positive. m**(111/182) Simplify ((q**(-2/5))**(-3/34)*((q**(-5/3)*q*q)/q)/(q**(-5)/q))**(3/41) assuming q is positive. q**(1369/3485) Simplify b**(-19)*b**(-1/50)/b*b*b*b/b**(3/14)*b*b*(b**(4/5)/b*b)/b assuming b is positive. b**(-2701/175) Simplify (t/(t/t**(-2))*t/(t**12*t)*t)/(t/t**8*t/(((t**24/t)/t)/t)) assuming t is positive. t**14 Simplify u**(-2/21)/u**9*(u/u**(-2/3)*u)**(-6) assuming u is positive. u**(-527/21) Simplify (c**(-2/7))**(-2/17)/(c**(4/17)/(c**(-1/8)*c)) assuming c is positive. c**(641/952) Simplify (((k/(k**(-12/5)*k))/k)/k)/(k/((((k/(k*k*(k*k**30*k)/k))/k)/k)/k))*k**(-1/8)/(k*(((k/k**(23/5))/k)/k)/k) assuming k is positive. k**(-241/8) Simplify (k**(-11)/(k/((k*k*k*(k/(k/(k**(-12)/k*k)))/k*k)/k)*k))/(k/(k*k*k*(k**5*k)/k*k))**(-2/179) assuming k is positive. k**(-4133/179) Simplify (((q*q**2)**41)**(16/5))**(2/65) assuming q is positive. q**(3936/325) Simplify (b/(b**(-1/7)*b)*b**23)/(b**(2/9))**(-15) assuming b is positive. b**(556/21) Simplify s/(s/(s/(((s*s**9)/s)/s*s)))*s/(s/(s*s/(s/(((s**(-1)*s)/s)/s))))*s/s**(-3/4)*s/s**(-4/9) assuming s is positive. s**(-209/36) Simplify (f**(-2/13)/(f**(3/5)/f*f)*(f*f/(f**(-1/3)/f)*f)/f*(f/(f/f**(-1/3)))/f)**35 assuming f is positive. f**(567/13) Simplify ((((n/((n*n**(-6/7))/n))/n)/(n**(-1/4)/n*n))/(n/n**(-2/19)*n/n**(-1/10)))**(-6/5) assuming n is positive. n**(8763/6650) Simplify ((q/(q/(q/(q/q**(-1)*q))))**(-2/11)/((q*q**(1/8))/q**(-6/5)))**25 assuming q is positive. q**(-4315/88) Simplify (((r**(1/35))**(-45))**(2/119))**(2/9) assuming r is positive. r**(-4/833) Simplify (m**(-11)*m**(-5))/(m**(-3/2))**(-6/13) assuming m is positive. m**(-217/13) Simplify (((q**(-3/7))**(-32))**(3/17))**(-4/11) assuming q is positive. q**(-1152/1309) Simplify ((n**0)**(-2/49)/(n**(-2/15)*(n**0/n)/n))**(2/25) assuming n is positive. n**(64/375) Simplify ((s*(s**(1/6)/s*s)/s)/(s**(-3/10)/s))/((s*s**(-10))/((s*s*s/s**(-5))/s)) assuming s is positive. s**(262/15) Simplify (((d/((d**(-14/5)*d)/d))/d*d**(2/11))**22)**(-4) assuming d is positive. d**(-1312/5) Simplify (n**9/(n/(n/(n*n**(-3/11)))))/(n*n*n**(2/5)*n*((n*n/(n*n*n**3/n*n*n))/n)/n) assuming n is positive. n**(598/55) Simplify (f**10*f)**2*(f**11)**(-4/7) assuming f is positive. f**(110/7) Simplify o*o**(-7)*o**(-19)*(o/(o**5/o))/o**(-27) assuming o is positive. 1/o Simplify (w**(-20)*w)/w**6*(w/w**(-23))/w*w*w*w**20 assuming w is positive. w**20 Simplify ((p/p**(8/3))/((p/(p*p*p**(1/38)*p*p*p))/p*p))**(-23) assuming p is positive. p**(-6187/114) Simplify p**(-13)/p*p*p*p**(4/13)*p*p*(p/(p**(-2/11)*p))/(p*p**(-1/10)*p) assuming p is positive. p**(-16317/1430) Simplify w**12*w**(3/7)*w**(-2/41)/(w/w**(-13)) assuming w is positive. w**(-465/287) Simplify (((o*o**3*o)/(o/o**(-8)*o))/(o**3*o*o**(-1/3)))**(8/7) assuming o is positive. o**(-208/21) Simplify (z*z*z**0*z*z)**(-5/3)/(z**(1/3))**(4/33) assuming z is positive. z**(-664/99) Simplify (l**(-2/27)*l**22)**(2/15) assuming l is positive. l**(1184/405) Simplify r*(r**(-6)*r)/r*r**(1/4)/r*r**6*r*r**4*r assuming r is positive. r**(25/4) Simplify (q*(q/(q/((q**(2/23)*q)/q*q)))/q*q*q*q*q*q**(4/11)*q)/((q**(2/23)/q)/(q/(q*q/q**15*q))) assuming q is positive. q**(224/11) Simplify ((x**(-4/3)*x*x**9*x)**(-14/3))**22 assuming x is positive. x**(-8932/9) Simplify (j**2*j**(1/5))/(j/j**(-18)*j*j/j**26) assuming j is positive. j**(36/5) Simplify s**20*s**(5/8)*(s/s**(-1/16))**(4/17) assuming s is positive. s**(167/8) Simplify (z**0*z*z/z**13*z)/(z*z**2)**(24/5) assuming z is positive. z**(-122/5) Simplify o**10/o*o*o**(-1/7)*(((o/o**8)/o)/o*o*o*o)**(-4/33) assuming o is positive. o**(815/77) Simplify (a**5/(a*(a/a**(-3/10))/a)*(a*a**(-2/3))/a*a*a**(-1/7))**(-1/31) assuming a is positive. a**(-817/6510) Simplify (s**(1/2))**9*(s*s/s**2)**15 assuming s is positive. s**(9/2) Simplify (f/f**(1/3))/(f/(f*f/(f/f**(3/5))*f))*(f**7)**2 assuming f is positive. f**(244/15) Simplify ((h**(-2/13)*h)/(h*h**(-4)))/((h*((h**(2/21)*h)/h*h)/h*h*h*h)/((h/(h**(-7)/h))/h)) assuming h is positive. h**(2116/273) Simplify ((z**(1/4)/(z*z**(2/3)))/(z*z/(z**(3/4)*z)*z**(-9)))**(-36) assuming z is positive. z**(-264) Simplify ((k**12/k*k)/(k*k**(2/29)))/(((k/(k*k**(2/11))*k)/k)/(k*k**(-1/17))) assuming k is positive. k**(65369/5423) Simplify (u**(1/4)/u*u*u/(u**(-4/11)/u)*u*u**(1/10)/(u/u**(1/12)*u))**(1/28) assuming u is positive. u**(593/9240) Simplify ((p**(-4)/p)/(p*p/(p*p**(-1/14))))/(p*p/(p/p**(-2/51))*p/p**(-20/3)) assuming p is positive. p**(-10495/714) Simplify (d*d**(-8))/((d*d**(-1/8))/d)*d**(-4/9)/d*d/d**(-1) assuming d is positive. d**(-455/72) Simplify ((v**(-2))**47*v**(3/2)*v/(v*v/((v**6*v)/v)*v*v*v))**11 assuming v is positive. v**(-1991/2) Simplify (p**5/p**(-2/3)*((p/(p**4/p))/p)/p*p/p**(3/4))**(-14/9) assuming p is positive. p**(-161/54) Simplify (v**(-23)*v**(-1/7))/(v*v**6*v)**(-9) assuming v is positive. v**(342/7) Simplify i**17*i*i**4/i*i*(((i*i*i**(-8))/i*i)/i)/(i*i**(-1/7)) assuming i is positive. i**(99/7) Simplify (u**8)**(10/7)/((u*(u/u**2)/u*u)/(u**(-3)/u*u)) assuming u is positive. u**(59/7) Simplify ((((g**(-8/5)*g)/g)/g**4)/(g**(-7)/(g*g**(-3))))**(-43) assuming g is positive. g**(129/5) Simplify ((j*j**(-2/3))/j)**(-13/5)/(((j/(j/(j/j**(-8))))/j)/j**8) assuming j is positive. j**(26/15) Simplify (y**(-2/13)*y*y/(y/(y/((y**(-8)/y*y)/y)*y)))/(y*y*y**(-1/3))**42 assuming y is positive. y**(-756/13) Simplify (v/(v/(v*(v*v*v/v**(-8))/v*v))*(v**(3/11)/v)/v*v*v)/((v/v**(1/14)*v)/((v/(v*(v/(v/(v/v**(-1/5))))/v))/v)) assuming v is positive. v**(7041/770) Simplify ((c/(c*c**(-3)/c*c))/(c/((c*c**15*c*c)/c)))/(c**(-14)*c**(-9/5)*c) assuming c is positive. c**(169/5) Simplify ((x/(x/(x*x**5*x)))/(x/(x**(3/5)/x)*x))**(-23) assuming x is positive. x**(-529/5) Simplify ((v**7*v*v)/(v*v**3))/(v**(-7/3)*v**(-5/4)) assuming v is positive. v**(103/12) Simplify (l**2)**(15/11)/(l**2)**12 assuming l is positive. l**(-234/11) Simplify (n**(1/4))**(20/3)/(n/((n/(n*n**(-5/2)))/n))**29 assuming n is positive. n**(97/6) Simplify z**(-7)*z*z*z**(-4/5)*(z*((z/((z*z**(-4/9)*z)/z*z))/z*z)/z)/(z**(-4)*z) assuming z is positive. z**(-151/45) Simplify (o/(o*o**(1/2)))**(1/3)*o**(8/3)*o*o**(-3/11)*o*o assuming o is positive. o**(115/22) Simplify (d*d**(-1/5)/d*d)**(-6)*d**(-1/9)/d*(d/(d*(d**(-1/20)*d)/d))/d assuming d is positive. d**(-247/36) Simplify (h*h**4)**(-7/9)/((h/h**(-9/2))/h*h**(-12)) assuming h is positive. h**(65/18) Simplify k*k**16*k*k*k**(-8)*(k*(k*k**6*k*k*k)/k*k*k*k)/(k*k**(1/9)/k) assuming k is positive. k**(215/9) Simplify m**(-3)*m/(m**9/m)*m**(-2)/(m**7/m*m) assuming m is positive. m**(-19) Simplify (((t/(t/(t*t**(2/5))))/(t**(-1/3)*t))/((t**(-2)/t)/t**4))**(-5/4) assuming t is positive. t**(-29/3) Simplify ((c**(-3/4)*((c**9/c)/c)/c)/(c*c**(2/7)*c)**(-3/19))**(-44) assuming c is positive. c**(-32835/133) Simplify u**(-1/6)*u**(-1/2)/u*u*(u*u*u**(-3)*u)**36 assuming u is positive. u**(-2/3) Simplify (n/(n**(3/2)*n))**(1/41)*n**(-3/11)/(n*(n*n/((n/(((n*n**(-1/9))/n*n)/n))/n))/n) assuming n is positive. n**(-17845/8118) Simplify ((h**(-4)*h/(h**4*h)*h)**(-5))**(-30) assuming h is positive. h**(-1050) Simplify (q*q/(q*q*q**36/q*q)*q*q*q/q**(-2/9))/(q**(-10))**(2/19) assuming q is positive. q**(-5425/171) Simplify ((x/(x*x**(-2)))/x)**(5/8)/(x**(-2)*x*x*x*x/((x**6*x)/x)) assuming x is positive. x**(37/8) Simplify (y/y**(-1))**(9/13)*y*y/(y*y**(-3/14))*y*y**(-19) assuming y is positive. y**(-2803/182) Simplify (v/(v*v**(2/13)))/v**(-1/3)*v**12/(v/(v*(v*v**(-21))/v)) assuming v is positive. v**(-344/39) Simplify (c**(2/9)*c*c*c)/c**(-2/31)*c**1/(c**(-2/9)/c) assuming c is positive. c**(1537/279) Simplify ((r/(r*r**10)*r/(r**4/r))/(r**(-11)*((r**7*r)/r)/r))**(-29) assuming r is positive. r**203 Simplify (((o*o*o**1/o)/o)/o*o)**(-2/15)/((((o/(o*o**(-12)*o))/o*o)/o*o)/(o*o*(((o*o/o**(-1/8))/o)/o*o)/o*o)) assuming o is positive. o**(-961/120) Simplify (a**(4/3)*a**(-4)/a)/(a*(a*a/(a*a**1))/a)**(-47) assuming a is positive. a**(-11/3) Simplify ((w/(w/(((w/w**(-1/4))/w)/w)))/w)/(w*w*w**(-
{ "pile_set_name": "DM Mathematics" }
hat is the second biggest value in 5, 3, m? 3 Let r = -183 - -918/5. What is the third smallest value in 0, r, 2? 2 Let l = -20.6 - -23. Let w = -12 - -10. Let f = w + l. Which is the biggest value? (a) -2/3 (b) -2/5 (c) f c Let k = 66.7 - 67. Which is the smallest value? (a) k (b) -1 (c) -1/2 b Let h be (-6)/8 - 5/(-5). Let r be (6/(-4))/(3/20). Let s be 135/(-25) - 4/r. Which is the biggest value? (a) h (b) s (c) 1 c Let s be (-4)/18*(1 + 0). Suppose -3*m + 3 = -21. Let y be (-4)/(m/(-2)) + -4. Which is the third smallest value? (a) y (b) s (c) -6/7 b Let w be ((-1 - 0) + 0)/(-1). Let q be (-3 + 2 - 0) + w. Suppose q*k = -5*c - 4*k + 23, 4*c + 5*k = 22. What is the smallest value in c, 2/9, -3? -3 Let b = -497.6 + 498. Let d = 1 - -4. What is the second biggest value in 6, d, b? d Let z be (-3)/15 + 122/10. Let x be 2/(-3) - (-9)/z. Which is the second biggest value? (a) x (b) -2/7 (c) -0.3 b Let l = 4 - 4.35. Let a = l - -0.05. What is the third smallest value in 0.4, 1/10, a? 0.4 Let z = 1 - 1.6. What is the second smallest value in -1, 0.1, z? z Let j = -12 - -16. Let g = 1.95 + -2. Let q = 1.95 - g. Which is the second biggest value? (a) j (b) q (c) -1 b Let v = -0.3 - -0.1. Let q = 32.42 + -3.02. Let y = q - 29. Which is the smallest value? (a) y (b) -1/10 (c) v c Let w = 39 - 39. What is the third biggest value in w, -0.2, -0.5? -0.5 Let l = 0.22 + 0.08. What is the third biggest value in 1, 0.2, l? 0.2 Let i(c) = 55*c**3 - 2*c**2 - 2*c - 1. Let n be i(-1). Let w be (12/n)/(6/(-7)). What is the third biggest value in 4, 0, w? 0 Let i = -0.64 - -0.2. Let p = -0.04 - i. Let a = 6 + -17/3. What is the second biggest value in p, 5/4, a? p Let n = -2.8 + 3. Let d = 28 + -29. Which is the biggest value? (a) n (b) 1/2 (c) d b Let l = -7 + 7.5. Which is the biggest value? (a) l (b) -0.3 (c) -3 a Let j = 0 + 0. Which is the second smallest value? (a) 4 (b) 5 (c) j a Let t = -1/3 + 2/3. Let g = 0 - -1. Which is the third smallest value? (a) t (b) g (c) 2/13 b Suppose 4*l = 2*r - 6, -12 = 5*r - 9*r + l. What is the fourth smallest value in 2/9, 0.1, -0.3, r? r Suppose -5*u + 9 = -4*d, 0*u + u = 5. Let x = 0.2 - 0.2. What is the third biggest value in -5, d, x? -5 Let d = -2.9 - -0.9. Which is the second smallest value? (a) 3 (b) 0.3 (c) d b Suppose 0*d + 25 = 5*d. Suppose -d*h + 3 = -2. Let f = 0.3 + -0.1. What is the second biggest value in -2/3, f, h? f Let h be ((-3)/12)/(15/12). What is the third smallest value in 5, -1, h? 5 Suppose -4*x = 4 + 4, 0 = 5*o - 2*x - 114. Let m be 4/o - 84/99. Let t = 3 + 0. What is the third biggest value in m, t, -3? -3 Let b = 64 - 64.3. What is the second smallest value in -4, 2, b, -2? -2 Let y(f) = -f**3 - 3*f**2 + f + 1. Let u be y(-3). Let n = 0 + 2. Let w = n - -1. Which is the second biggest value? (a) w (b) 0.4 (c) u b Let s be (-578)/(-6)*30/(-35). Let q = s + 83. Which is the second biggest value? (a) -0.4 (b) q (c) 2 b Suppose -2*i = -4*l - 6*i - 20, 7 = -5*l + i. Suppose 0 = 3*a - 2 - 4. Let u be 7/(-3) + a/1. What is the third biggest value in -1, u, l? l Let z = 0.16 - 0.36. Suppose 0 = 4*p - 0*p. Suppose v + p*v = 0. What is the second biggest value in v, z, -5? z Let z = -10.4 - -9. Let s = 1.6 - z. Let q be (-4)/(-34)*1 - 0. Which is the third smallest value? (a) 0.5 (b) q (c) s c Let v be 3/5*12/9. Let h be (6 - 5)/((-1)/(-3)). Which is the second smallest value? (a) v (b) 5 (c) h c Let y = 30.4 - 30. Let i = -0.2 - -0.7. Which is the biggest value? (a) 11 (b) i (c) y a Let h = -215.1 - -215. Let v be 26/6 - 1/3. Which is the third biggest value? (a) v (b) h (c) -5 c Let w(i) = i**3 - 6*i**2 - 6*i - 2. Let t be w(7). Let p = 25 - t. Let y be (-4)/p*10/(-4). What is the second smallest value in y, 4/7, -4? y Let r = -21 - -11. Let z be (-8)/r + -3 + 2. What is the second biggest value in 3, z, 0.1? 0.1 Let t = 0 + -0.2. Which is the biggest value? (a) -3/7 (b) t (c) -1/4 b Suppose 2*z - 9 = 15. Suppose 2 = 5*w + z. What is the second biggest value in 2/3, w, -8? w Suppose j - g - 8 = 0, 0 = j + 2*g + 9 - 29. Let u = j + -9. Let x = -2/205 - 162/205. What is the smallest value in u, -3/5, x? x Let p = 0.15 - -3.85. Let f = -9 - -15. Let b = -3 + f. What is the third smallest value in p, b, -2? p Let n = 2.2 + 0.8. Let x be (1/(-2))/((-2)/20). Let k be (2/3)/(5/(75/(-35))). Which is the third biggest value? (a) k (b) n (c) x a Suppose 20 = 5*t - 0. Let v be (-34)/52 + t/26. What is the third biggest value in v, -2/11, 0.5? v Let z = -16 + 19. Let o = 5019037/1128 - 35601/8. Let m = o - 2/47. Which is the smallest value? (a) z (b) m (c) -5 c Let u = 0.08 + 0.22. Let a be (7 + -3 - 2) + 1. Let n be (-3)/(2/8 - 1). What is the third biggest value in u, a, n? u Let s = 4 - 4.06. Let q = s - 0.34. Let d = 0.1 - q. Which is the smallest value? (a) -2 (b) d (c) 1/5 a Let p = -360 - -362. Let f = 0.8 + 0.2. Which is the third biggest value? (a) -6/7 (b) p (c) f a Let g = -18/13 - -28/39. Let n = 0.56 - 0.26. Suppose 5 = 2*w + 3*w. Which is the third biggest value? (a) w (b) g (c) n b Let b = -16 - -8. Let i = b - -7.7. What is the second smallest value in 0.5, i, 0.3? 0.3 Let l = 25 + -16. Which is the third smallest value? (a) -5 (b) l (c) 1/8 b Suppose 3*y + 4*j = 2*j - 17, -4*y - 15 = -5*j. What is the smallest value in 4, 0.4, y? y Let f = -43 - -42.6. Which is the third biggest value? (a) 5 (b) 4/9 (c) f c Let x = -233 + 1628/7. Which is the fourth smallest value? (a) x (b) -2/7 (c) -4/3 (d) 5 d Let u = 7 + -12. Let f = 5.1 + u. What is the third smallest value in 1/5, f, -4? 1/5 Let a = -4 - -3.5. Let d = -0.3 + 1.3. Let i = d + 3. What is the third smallest value in i, a, 0.1? i Let a = -3 + -15. Let v = a - -18.4. What is the second biggest value in v, -4, 4? v Let o = -0.023 - 0.677. Which is the second smallest value? (a) o (b) 2/5 (c) 0.1 (d) 2/11 c Let u be (-28)/((-4)/1) - 2. Which is the third smallest value? (a) 0.5 (b) u (c) -5 b Let o be 6 - 1*39/3. Let g = -0.8 - -1. Which is the second smallest value? (a) o (b) g (c) 1/3 b Let l(h) = 2*h + 26. Let u be l(0). Suppose -3*z + 1 = r, -5 + u = -z + 5*r. What is the second biggest value in -1/6, 2/9, z? -1/6 Let d = -84 + 41. Let v = -388/9 - d. What is the second biggest value in -3, -5, v? -3 Let t(m) = -m**3 - 5*m**2 + 7*m + 9. Let g be t(-6). Suppose 0*z = -g*z. Let b = -0.1 - 0.4. What is the second smallest value in b, z, 4/5? z Let r = -1.1 + 0.7. Which is the smallest value? (a) 1/10 (b) 3/2 (c) r c Let f = 2 + -10. Let m = 7 + f. Let g = -3 - -3.2. What is the smallest value in g, m, -0.4? m Let y = 0.3 - 0.6. Let z be 3/4 - 85/60. Which is the third biggest value? (a) 2 (b) z (c) y b Let u = 23/4 - 6. Let t = 0.88 - 0.48. Which is the smallest value? (a) t (b) -5 (c) u b Let c be (-9)/21*(-7)/2. Let w = c + -1. What is the third biggest value in 0, -2/5, w? -2/5 Let d = 12 + -5. Let o = 12 - d. What is the second biggest value in o, -2, 2/15? 2/15 Let g be 4/12 + (-23 - -1). Let y = 22 + g. What is the biggest value in y, 0.05, 1/4? y Let p(w) = -w**2 + 13*w - 16. Let u be p(11). Suppose 0 = 5*s + 11 - u. Let i = -8 - -12. Which is the smallest value? (a) 5 (b) s (c) i b Let k = -0.5 + 5.5. Let r = 13 - 19. Let x = k + r. Which is the smallest value? (a) -0.3 (b) 2/3 (c) x c Let n = 11 - 7. Suppose -n*i + 7*i = 3. What is the third biggest value in 2, -5, i? -5 Let w = -0.91 - -0.44. Let l = w - 0.03. What is the second biggest value in 0.2, l, -4? l Let g = 19 - 18. Which is the third biggest value? (a) g (b) 3/8 (c) 2/3 b Let x = -5.8 - -5. Let n = 6 + -6.4. Let j = n - x. Which is the third smallest value? (a) -2 (b) 0.2 (c) j c Let m = 0.2 + -0.7. Let y be ((-18)/(-15))/(-3 - -2) + 1. Which is the smallest value? (a) m (b) y (c) -1 c Let u be ((-2)/14)/(36/(-42)). Which is the second biggest value? (a) u (b) 0.4 (c) 0.1 a Let p(l) = -l**3 - 14*l**2 - 13*l - 19. Let b be p(-13). Let t be 18/30 - b/(-15). What is the biggest value in 3, t, 2/7? 3 Let i = 0.01 - -0.2. Let j = -0.09 - i. What is the third smallest value in 5, j, 3? 5 Suppose 2*i - 4 = -4*y - 2*i, i + 5 = 5*y. Let z = -2/19 - 13/57. What is th
{ "pile_set_name": "DM Mathematics" }
rs picked without replacement from {f: 4, u: 1, m: 6}. 6/55 Three letters picked without replacement from dqdggehhgdghhhgrehq. What is prob of picking 1 d and 2 h? 15/323 What is prob of picking 2 g and 2 b when four letters picked without replacement from wbbwwwbwfwbfwwwwgwgw? 2/1615 Two letters picked without replacement from {s: 5, g: 7, u: 3, d: 1}. What is prob of picking 2 u? 1/40 Calculate prob of picking 4 n when four letters picked without replacement from eeenenppeennpneeeeer. 1/969 Four letters picked without replacement from fffsjrfi. What is prob of picking 2 f, 1 j, and 1 s? 3/35 Calculate prob of picking 2 m and 2 n when four letters picked without replacement from {m: 5, n: 6, t: 2}. 30/143 Two letters picked without replacement from cdtcldnddccdcllcdcc. Give prob of picking 1 c and 1 n. 8/171 Calculate prob of picking 2 k when two letters picked without replacement from uudkkuudducddkduck. 2/51 Three letters picked without replacement from ktkkktybbtvok. What is prob of picking 1 t and 2 k? 15/143 What is prob of picking 3 h when three letters picked without replacement from {h: 10, l: 2}? 6/11 Two letters picked without replacement from boobbhbbwbboowoybobb. Give prob of picking 2 o. 3/38 What is prob of picking 1 s and 2 n when three letters picked without replacement from {y: 2, s: 2, n: 2}? 1/10 Four letters picked without replacement from {q: 2, x: 7}. Give prob of picking 2 q and 2 x. 1/6 Calculate prob of picking 2 k and 1 n when three letters picked without replacement from {n: 7, k: 9}. 9/20 Two letters picked without replacement from ccf. Give prob of picking 2 c. 1/3 What is prob of picking 3 z when three letters picked without replacement from zzzz? 1 Three letters picked without replacement from {h: 10, a: 4}. What is prob of picking 3 h? 30/91 Calculate prob of picking 1 v, 1 o, and 2 b when four letters picked without replacement from vfobvobofooooo. 16/1001 Calculate prob of picking 3 n when three letters picked without replacement from nhhhrhhhnnrn. 1/55 Four letters picked without replacement from luuluulhzl. What is prob of picking 1 h and 3 l? 2/105 What is prob of picking 1 v and 1 j when two letters picked without replacement from {b: 2, j: 1, v: 1, k: 1, i: 1, d: 1}? 1/21 What is prob of picking 3 j and 1 u when four letters picked without replacement from {u: 3, q: 5, j: 3}? 1/110 What is prob of picking 2 n when two letters picked without replacement from {r: 3, n: 2}? 1/10 Calculate prob of picking 1 j and 3 n when four letters picked without replacement from nnjknnk. 4/35 Calculate prob of picking 1 v, 1 s, and 1 a when three letters picked without replacement from sfwsfvsfswafsss. 1/65 Two letters picked without replacement from szoliitol. Give prob of picking 1 l and 1 z. 1/18 What is prob of picking 1 n, 1 i, and 1 u when three letters picked without replacement from {r: 2, n: 1, u: 1, i: 2, o: 2, a: 1}? 1/42 Four letters picked without replacement from {y: 1, g: 1, v: 5, q: 2, i: 1}. What is prob of picking 3 v and 1 y? 1/21 Three letters picked without replacement from tttttvtvttvttttvvvt. What is prob of picking 2 t and 1 v? 156/323 Three letters picked without replacement from {a: 6, l: 4, z: 2}. What is prob of picking 3 l? 1/55 Calculate prob of picking 2 r when two letters picked without replacement from qrqqqqqrqr. 1/15 Three letters picked without replacement from imeqkmv. What is prob of picking 1 v, 1 i, and 1 e? 1/35 Two letters picked without replacement from ggggg. Give prob of picking 2 g. 1 What is prob of picking 4 r when four letters picked without replacement from {r: 16, q: 2}? 91/153 Three letters picked without replacement from {m: 2, y: 3, d: 12}. What is prob of picking 1 m and 2 d? 33/170 Three letters picked without replacement from zyzqjqs. Give prob of picking 2 q and 1 s. 1/35 What is prob of picking 2 f and 1 t when three letters picked without replacement from {w: 5, t: 1, o: 4, f: 5}? 2/91 Three letters picked without replacement from hqqnqkhkn. Give prob of picking 2 h and 1 k. 1/42 What is prob of picking 3 h when three letters picked without replacement from hccccchhhcc? 4/165 Two letters picked without replacement from {r: 11, c: 1}. What is prob of picking 1 r and 1 c? 1/6 Calculate prob of picking 2 g when two letters picked without replacement from {g: 5}. 1 Two letters picked without replacement from rcrcccccpocsoprcropr. Give prob of picking 2 r. 1/19 Three letters picked without replacement from {x: 2, f: 1, a: 1, k: 1}. What is prob of picking 2 x and 1 a? 1/10 Three letters picked without replacement from {u: 2, q: 4, k: 2}. Give prob of picking 1 q, 1 u, and 1 k. 2/7 Two letters picked without replacement from oojooljooojooojojjoj. What is prob of picking 1 j and 1 l? 7/190 Two letters picked without replacement from {n: 3, v: 1, m: 2, e: 1, k: 3}. Give prob of picking 2 n. 1/15 Calculate prob of picking 3 w when three letters picked without replacement from yyywywwyywy. 4/165 What is prob of picking 1 s and 1 a when two letters picked without replacement from sallblls? 1/14 Three letters picked without replacement from izsilztztiszttttztt. What is prob of picking 2 i and 1 z? 5/323 What is prob of picking 3 s when three letters picked without replacement from ssssss? 1 Calculate prob of picking 4 v when four letters picked without replacement from {p: 2, v: 4}. 1/15 Calculate prob of picking 1 t, 1 i, and 1 y when three letters picked without replacement from ygctytigtttggtyyt. 7/170 Two letters picked without replacement from gcohzhgcocggzozg. Give prob of picking 1 c and 1 h. 1/20 Three letters picked without replacement from {a: 8, r: 3}. Give prob of picking 2 r and 1 a. 8/55 Calculate prob of picking 1 i and 1 b when two letters picked without replacement from kbkaccai. 1/28 Two letters picked without replacement from mymmyy. What is prob of picking 2 m? 1/5 Four letters picked without replacement from {e: 3, a: 4}. Give prob of picking 3 e and 1 a. 4/35 Three letters picked without replacement from fufuuufuffufufucuu. What is prob of picking 1 f and 2 u? 105/272 What is prob of picking 2 n when two letters picked without replacement from {p: 2, n: 4, j: 2, y: 1}? 1/6 Four letters picked without replacement from ouwsjgjwuowusgw. What is prob of picking 1 u, 1 g, 1 s, and 1 o? 8/455 What is prob of picking 1 u and 1 x when two letters picked without replacement from {k: 3, x: 2, i: 1, u: 1}? 2/21 Two letters picked without replacement from {z: 1, e: 11, q: 1, s: 2}. Give prob of picking 1 s and 1 q. 2/105 Calculate prob of picking 1 i and 1 u when two letters picked without replacement from ebbhbesessibeihehue. 2/171 Four letters picked without replacement from ffafffff. Give prob of picking 4 f. 1/2 Four letters picked without replacement from wsppppspwppppppppppw. What is prob of picking 1 w, 1 s, and 2 p? 42/323 Two letters picked without replacement from {l: 5, f: 5}. What is prob of picking 1 f and 1 l? 5/9 Three letters picked without replacement from gggttgg. What is prob of picking 3 g? 2/7 Calculate prob of picking 2 c and 1 v when three letters picked without replacement from eeteeckekvcjc. 3/286 Three letters picked without replacement from jjjjjjjpjp. Give prob of picking 2 p and 1 j. 1/15 Three letters picked without replacement from vjjjjdvjvvv. What is prob of picking 1 d, 1 j, and 1 v? 5/33 Calculate prob of picking 3 p when three letters picked without replacement from pwppwptppppptpppptpp. 91/228 Four letters picked without replacement from {p: 3, n: 1, j: 2, y: 1}. Give prob of picking 1 n, 1 j, and 2 p. 6/35 Four letters picked without replacement from {l: 4, c: 1, r: 7, v: 6}. What is prob of picking 3 r and 1 c? 7/612 What is prob of picking 3 f when three letters picked without replacement from {j: 3, x: 7, u: 1, f: 4, e: 2}? 1/170 Two letters picked without replacement from {h: 6, v: 1, s: 3, c: 2}. What is prob of picking 2 h? 5/22 Three letters picked without replacement from {o: 8, c: 2, m: 1, y: 7}. What is prob of picking 1 c and 2 m? 0 What is prob of picking 1 a, 1 x, and 1 c when three letters picked without replacement from eaxebcxereaeexeaexbr? 1/95 What is prob of picking 2 s and 2 k when four letters picked
{ "pile_set_name": "DM Mathematics" }
ltiple of 20? False Suppose 0*t + 5*t = 480. Is t a multiple of 6? True Suppose 0 = 5*z + 71 - 516. Is z a multiple of 15? False Let u(i) = -i**2 + 9*i + 8. Let h be u(7). Is -3 + -3 + (h - 2) a multiple of 14? True Suppose 2*c - 5 = 3. Suppose 4*l + 3*h - 18 = 2*h, 3*l - 5*h - 2 = 0. Suppose 5*x + l*n + 15 - 149 = 0, -99 = -c*x + 5*n. Does 13 divide x? True Let f = -2 - -10. Let m = -4 + f. Suppose 2*n - 1 + 6 = -o, 0 = -5*o - m*n + 5. Is o a multiple of 2? False Let x be (50/(-6))/(2/6). Let h = 49 + x. Is h a multiple of 12? True Let b be 12/(-54) - (-83)/9. Suppose q = 2*x + 6 - 0, 0 = 3*x + b. Let l = 2 + q. Is 2 a factor of l? True Let n = 23 - -15. Is n a multiple of 23? False Let r = -8 - -5. Let t be (r/3)/(1/(-2)). Suppose t*o - 5*h = 23, -2*h = 3*h - 5. Is o a multiple of 14? True Let p = -1 - -3. Suppose -b - p*b = -12. Suppose -2*a + 60 = 4*s, -7 = -5*s + b*a + 42. Is s a multiple of 10? False Let f be 102/4*(-3 + 45). Let z be f/28*4*1. Suppose -4*n - 5*c + 54 = -3*n, -c = -4*n + z. Is n a multiple of 22? False Suppose -4*h + 21 = -3*h. Let s = 50 - h. Is 16 a factor of s? False Let q(l) = l**3 - l**2 + 4*l - 5. Is q(4) a multiple of 8? False Let u = -3 + 5. Let a(s) = 11*s**u - 2*s**2 + 3*s - 3*s. Is a(2) a multiple of 12? True Suppose 5*c = -5*y - 7 - 3, 3*c = -2*y - 2. Let z = -2 - y. Suppose 80 = 5*s - z*o, -s - 4*o + 92 = 3*s. Is 14 a factor of s? False Suppose 22 - 2 = -5*n. Is 3 a factor of n/22 - (-101)/11? True Let o = 511 + -350. Does 23 divide o? True Let x(j) = j**3 - 7*j**2 - 8. Let p be x(7). Let q = 20 + p. Is 5 a factor of q? False Does 13 divide (4/10)/((-4)/(-130))? True Suppose -5*x - 4 - 11 = 0. Is 5 a factor of (22/6)/(x/(-9))? False Let k = 4 + -7. Is 8 a factor of (-4)/k*(19 - 4)? False Suppose -2*y + g + 308 = y, y - g - 100 = 0. Is y a multiple of 13? True Let d(o) = -o**3 + 8*o**2 - 4*o - 3. Let j be d(6). Suppose s = 4*s - j. Does 15 divide s? True Suppose 0 = -6*x + 261 + 645. Is x a multiple of 12? False Suppose 6 = w + 19. Let l = 21 + w. Is l a multiple of 8? True Let r = 2 + 3. Let w be r/3 + 1/3. Suppose 20 = -4*l, -w*c = 4*l - 2*l - 86. Does 13 divide c? False Let d(n) = 8*n + 2. Let w(h) = h**3 + 3*h**2 + 3*h + 3. Let y be w(-2). Suppose 4*u + q - 13 = 0, -3*u + u = -q + y. Is 9 a factor of d(u)? True Does 25 divide 12/5*(127/2 - 1)? True Suppose i + l - 109 = 0, 5*i - i - 5*l = 427. Is i a multiple of 18? True Suppose 4*m - 11 - 1 = 0. Suppose d + 11 = 2*t + m, 0 = 2*d - 4. Is 4 a factor of (t/(-2))/((-2)/4)? False Suppose 4*o - o = 2*c - 15, -o = -3*c + 12. Is 2 a factor of (0 - (2 + o)) + 1? True Let r = 114 + -65. Let n = -8 - 26. Let c = r + n. Does 6 divide c? False Suppose 0 = -3*v - 6, -2*k - 39 = 5*v - 13. Let n be k/6*3/2. Is 5 a factor of 16 + -1 + n/2? False Suppose -2*y + 30 = -84. Suppose 3*i - 27 = 2*r + y, -140 = -5*i - 4*r. Is i a multiple of 14? True Suppose 4*l + 2*k = -2*k + 16, -4*l - 2*k = -16. Suppose 109 = 2*g + 5*a, 2*g = -l*a - 0*a + 110. Is 22 a factor of g? False Let b(n) = -35*n**3 + n**2. Let o = 14 - 15. Is 18 a factor of b(o)? True Let v(h) = -h**3 + 13*h**2 - 10*h - 17. Let d be v(12). Let c(m) = m**3 - 7*m**2 + 2*m + 7. Does 10 divide c(d)? False Suppose -3*f - 6 = -f. Let w = 3 + f. Suppose -z = -w - 5. Is z a multiple of 5? True Suppose -3*z - 5*w + 486 = 0, 6*z - 4*z - 337 = w. Is 9 a factor of z? False Let u be ((-1)/(-2))/(3/192). Let n = 3 + u. Is 25 a factor of n? False Suppose 10 = -5*q, 4*y - 5*y + 33 = -3*q. Is 11 a factor of y*1*(3 + -2)? False Let o(l) = l**2 - 5*l - 3. Let m be o(6). Suppose -2*k + 25 = m*k - 5*z, k - 4*z = 2. Does 4 divide k? False Let c be (12/10)/((-4)/10). Is (1/c)/(4/(-660)) a multiple of 21? False Suppose 0 = 3*d + 2*a - 203, 0*d + 56 = d + 3*a. Is d a multiple of 26? False Let g be (-28)/6*6/4. Let u = g - -6. Does 9 divide (19 - 1)*u/(-2)? True Let n = 5 - 1. Let b(k) = -8*k**3 - 24*k**2 + 1. Let d(c) = 3*c**3 + 8*c**2. Let u(w) = n*b(w) + 11*d(w). Is u(8) even? True Let a be (1 - 5)*15/(-20). Let s(r) = 2*r + 1 - a*r - 2*r - 3*r. Does 4 divide s(-1)? False Let h be 1/(-4) - 34/(-8). Suppose -h*j - 41 = 2*x - 11, -3*j = 4*x + 35. Let u = x + 20. Is u a multiple of 15? True Let q be (4/2)/2 + 19. Suppose 15 = 5*f - 5. Suppose -8 - q = -f*c. Does 7 divide c? True Suppose -3*g = -7*g + 40. Does 6 divide g? False Suppose -i = -3*t + 59, -5*i = -t + 9 + 6. Let g = t - -4. Is g a multiple of 8? True Suppose -v = v + 2. Let x(j) = -2*j. Let q be x(v). Does 15 divide (q - -3)*(-3 + 6)? True Does 7 divide (-1 - -3) + -7 - -103? True Let s(q) be the first derivative of -2*q**2 - q - 3. Is 2 a factor of s(-1)? False Let t(m) = -m - 8. Let a be t(-8). Suppose -5*n + 0 - 15 = a. Let b = n + 8. Is b a multiple of 3? False Let w = -47 - -85. Let a = -53 + w. Let j = 37 + a. Does 11 divide j? True Let s be ((-90)/24)/((-6)/128). Suppose 26 = -3*r + s. Is r a multiple of 11? False Let s be (6/(-8))/((-2)/8). Suppose q + s*q - 8 = 0, -3*q = -2*d - 6. Suppose 2*j - 8 = d, 2*j - 146 = -3*o - 0*o. Is o a multiple of 19? False Let i = -14 + 8. Let g(n) = -n**3 - 6*n**2 - 3*n - 6. Is 6 a factor of g(i)? True Let l(j) = 6*j + 8 + 2*j**2 + j**3 - 10*j**2 + 3*j. Is l(7) a multiple of 11? True Let a be -2*(16 + 6/(-3)). Let r = 41 + a. Is (r + -1)*1*1 a multiple of 5? False Suppose u + 2*z = 6*u - 17, -3*u - z + 8 = 0. Suppose -17 = -5*i + u. Suppose -i*k = -0*k - 88. Does 11 divide k? True Let y(i) be the second derivative of 5*i**3/6 - 3*i. Let h be y(4). Suppose 26 = -5*b - 3*m + 98, 0 = 5*m - h. Is b a multiple of 4? True Let v(z) = 135*z**2 + 4*z - 2. Is 13 a factor of v(1)? False Let m(l) be the first derivative of -5*l**2/2 - 14*l + 6. Does 18 divide m(-10)? True Let s be 8/(-5) + (-2)/5. Is (7 - (-2 - s))/1 a multiple of 7? True Let x(p) = -p**3 - 5*p**2 - 2*p + 8. Is 18 a factor of x(-5)? True Suppose 4*q = -8, 4*b + 2*q = 4*q + 8. Is 9 a factor of b + 1 + (32 - 6)? False Let d = -250 + 363. Is 29 a factor of d? False Let i(r) = r**2 + 6*r + 11. Does 16 divide i(-12)? False Let t be (-2)/7 + (-704)/(-112). Let d(b) = 7*b**2 + 4*b + 3. Let i be d(-2). Let h = i - t. Is h a multiple of 17? True Suppose 153 = -5*q + 748. Let y = q - 52. Suppose -4*x + y = 4*v - x, -v - 12 = -5*x. Is 9 a factor of v? False Let a(u) = -106*u + 1. Let o be a(-2). Suppose -21 + o = 4*h. Suppose 0 = 2*z - 0*z - h. Is z a multiple of 11? False Let j(y) = 6*y - 6. Let r be j(4). Suppose g + g + 5*q - r = 0, -2*q = 0. Let f(w) = w**3 - 8*w**2 - 6*w + 10. Is 14 a factor of f(g)? False Let z(q) = -3 - 3 - 3*q - 1. Let i be z(-6). Is 8 a factor of i - (1 + 2 + -3)? False Let n = -117 - -31. Let t be (n/6)/((-3)/9). Suppose t = l + 2*l + 5*g, 0 = 5*l - g - 25. Does 6 divide l? True Let m = 22 - 12. Is -6*(-1 - m/6) a multiple of 13? False Let s = 3 - 0. Suppose -k - 375 = -s*d, 2*d - k - 127 = d. Let w = d + -84. Does 20 divide w? True Suppose 2*q + 194 = 2*g, 2*g + g - 271 = -q. Does 26 divide g? False Suppose 0 = -4*z - 2*g + 64, -3*z - 4 = -2*g - 59. Let f = -4 + z. Does 4 divide f? False Let p be (-6)/(-9)*18/4. Let h = 21 + p. Is 8 a factor of h? True Is 3/(1 + -4 + 2) - -111 a multiple of 29? False Suppose -20 = 3*s - x - 4*x, 0 = -2*x + 2. Let i = 25 - s. Does 15 divide i? True Let g(k) = 2*k**2 + 5*k - 4. Let c be (-2)/((-1)/2 - -1). Let r be g(c). Suppose -n - r = -30. Does 11 divide n? True Let p(z) = -z**3 + 2. Let q be p(2). Let o(v) be the first derivative of -v**2/2 - 4*v + 3. Is 2 a factor of o(q)? True Let s(v) = v + 4. Let k be s(-2). Suppose 0 = -3*w + 4*y + 7, 0*y + 3*y - 33 = -k*w. Does 3 divide w? True Let n(q) = -q**3 + q**2 + q + 1. Let d(c) = 3*c**3 - 2*c**2 - 3*c - 11. Let i(a) = -d(a) - 2*n(a). Let g = 4 - 4. Does 4 divide i(g)? False Suppose -q + 24 = 3*q. Is q a multiple of 6? True Let o(s) be the third derivative of -9*s**4/8 - 3*s**2. Let i(z) = -28*z. Let c(p) = 4*i(p) - 5*o(p). Is c(1) a multiple of 11? False Suppose 0 = g + 5*m - 91, -169 = -2*g + m + 2*m. Does 24 divide g? False Let d(r) = r + 1. Let w be d(-2). Is 5 a factor of (10/3)/(w/(-3))? True Does 14 divide -2 + 3/(3/86)? True Let x be (-4)/(-14) - 36/28. Let u be ((-5)/(-15))/(x/(-24)). Let b = 11 - u. Is b a multiple of 3? True Let u be (-12)/(-42) - 24/(-14). Suppose 4*f = -
{ "pile_set_name": "DM Mathematics" }
o**4 - 1/19*o**3. Determine k so that m(k) = 0. -1, 0, 3 Suppose 0 = -2*h - 3 + 5, v + h = 17. Suppose -22 = -3*w - 4*n, 2*n - v = -3*w + 4*n. Factor -16*j**2 + 3*j - 20*j**2 + w*j**2 + 4 - j. -2*(3*j + 1)*(5*j - 2) Let f be (4 - (-2034)/(-108)) + 15. Let 1/2*n**2 + 0 - 1/2*n**4 + 2/3*n + f*n**5 - 5/6*n**3 = 0. What is n? -1, 0, 1, 4 Suppose 15*d + 40 = 23*d. Solve -d*n + 3 - 21 + 7*n**2 + 8 - 2*n**2 = 0. -1, 2 Let r(z) be the first derivative of -5/9*z**2 + 5/18*z**4 - 2/27*z**3 + 2/45*z**5 + 0*z + 99. Find c, given that r(c) = 0. -5, -1, 0, 1 Let h(l) = 20*l**2 + 145*l + 155. Let r(i) = 7*i**2 - 1726*i + 39 - 2*i**2 + 872*i + 890*i. Let n be 3*2/3 + -6. Let p(d) = n*h(d) + 15*r(d). Factor p(q). -5*(q + 1)*(q + 7) Let u(i) = 5*i**3 + 75*i**2 + 32*i + 482. Let m be u(-15). What is q in 6/11*q**4 + 6/11*q**2 + m*q - 2*q**3 - 12/11 = 0? -1, 2/3, 1, 3 Let l(f) = 2*f**2 + 6*f - 8. Let s be l(3). Let q be (0 + (-4)/(-10))/(s/140). Suppose 91 + 73*y**2 - 36*y - 71*y**q + 71 = 0. Calculate y. 9 Let z(c) be the first derivative of c**7/1680 + c**6/180 + 62*c**3/3 + 13. Let r(q) be the third derivative of z(q). Find a, given that r(a) = 0. -4, 0 Let y(l) be the first derivative of -4*l**6/3 + 1146*l**5/5 - 143*l**4/2 + 7466. Factor y(x). -2*x**3*(x - 143)*(4*x - 1) Suppose -306250 - 700*r - 2/5*r**2 = 0. Calculate r. -875 Let l be (4 - -148*4/(-144))*(51 + -53). Factor 8/9 + 0*x + l*x**3 - 2/3*x**2. 2*(x - 2)**2*(x + 1)/9 Let a(n) = n**2 - 7*n + 16. Let f be a(7). Suppose 2*b - f + 6 = 0. Factor -16*d - d**4 - b*d - 4*d**3 + 19*d - 5*d**2. -d*(d + 1)**2*(d + 2) Let z = -38 - -40. Find q such that -2 + 4*q**2 + 49 - z*q**2 - 20*q - 5 = 0. 3, 7 Let b(o) = o**2 - 1. Let q(y) = 6*y**2 + 2*y - 20. Let i(p) = 5*b(p) - q(p). Let c be i(-4). What is h in -3*h**2 - 12 + 0 + 2*h - c*h - 10*h = 0? -4, -1 Let s(l) = -18*l**4 - 68*l**3 - 150*l**2 + 224*l + 12. Let a(i) = i**4 - i**3 - i**2 + 2*i - 1. Let z(g) = -12*a(g) - s(g). Factor z(o). 2*o*(o - 1)*(o + 4)*(3*o + 31) Let o(k) be the first derivative of 13*k**6/51 + 56*k**5/85 - 50*k**4/17 - 32*k**3/51 - 2276. Let o(s) = 0. What is s? -4, -2/13, 0, 2 Suppose -5*j - 4*d - 20 = -5*d, 3*d - 20 = 5*j. Let c be -2*j/(-8) - -15. Find a, given that 7*a**3 + 3 + 72*a**2 + c*a - a + 41*a**3 + 14*a = 0. -1, -1/4 Let h(u) be the second derivative of u**7/84 - u**6/120 - 3*u**5/16 - 5*u**4/48 + 13*u**3/24 + 3*u**2/4 - 21*u - 28. Solve h(c) = 0 for c. -2, -1, -1/2, 1, 3 Let q = 10/16357 - 101326/343497. Let x = 28/33 - q. Factor 0*d - x*d**2 + 4/7 + 4/7*d**4 + 0*d**3. 4*(d - 1)**2*(d + 1)**2/7 Let q(z) be the first derivative of -10*z**3 - 50*z - 60 + 85/2*z**2. Factor q(g). -5*(g - 2)*(6*g - 5) Let h(j) = -3*j**3 - 79*j**2 + 945*j - 1620. Let w(c) = -2*c**3 - 39*c**2 + 471*c - 812. Let f(q) = 3*h(q) - 5*w(q). Factor f(g). (g - 20)**2*(g - 2) Let k be (-1)/(-6)*-2 - ((-2400)/18)/8. Solve -71/3*y**2 - 5/3*y**3 - 259/3*y - k = 0 for y. -7, -1/5 Let a(r) = -3*r - 16. Let g be a(-10). Suppose 0 = -2*x + 4*v - 12, 3*x - 3*v + g = 2*v. Factor 3 - 3*j**x + 6*j**3 - 3*j**3 + 1 - 3*j - 1. 3*(j - 1)**2*(j + 1) Let z = 1043/3 + -347. Find j, given that -z*j**2 + 64/3*j - 512/3 = 0. 16 Suppose 4*h + 5*c - 67 = 0, -4*h - 2*c = -2*h - 34. Let f be h/4*(-1)/(12/(-8)). Let -2/9*l + 2/9*l**2 - 2/9 + 2/9*l**f = 0. Calculate l. -1, 1 Solve -1/9*r**4 + 0*r - 2/9*r**3 + 0*r**2 + 0 = 0 for r. -2, 0 Let l(x) be the second derivative of x**5/50 + 17*x**4/30 - 8*x**3/5 - 1008*x**2/5 + 49*x + 2. Solve l(b) = 0. -12, 7 Factor 2041/3*l + 5/6*l**2 + 272. (l + 816)*(5*l + 2)/6 Suppose -2*z + 0*z = -22. Suppose z*d - 15 = 7. Let -107*j + 1 - 79*j**2 + 14*j**d - 11 + 32*j = 0. What is j? -1, -2/13 Factor -n**2 - n + 15/7 - 1/7*n**3. -(n - 1)*(n + 3)*(n + 5)/7 Suppose 26*h = 5*h - 8*h + 232. Let x(r) be the first derivative of -6*r + r**3 - h - 3/2*r**2. Factor x(g). 3*(g - 2)*(g + 1) Let l be 12 + -18 - (1/2)/(2/(-44)). Let x(c) be the second derivative of 0*c**4 + 0*c**2 - 1/90*c**l + 0*c**6 + 0 + 1/54*c**3 + 25*c + 1/378*c**7. Factor x(w). w*(w - 1)**2*(w + 1)**2/9 Let k(x) be the second derivative of -3/8*x**4 - 1/2*x**3 + 13*x - 3/40*x**5 + 0*x**2 - 6. Determine n so that k(n) = 0. -2, -1, 0 Let f(g) be the second derivative of -g**6/10 - 9*g**5/10 - g**4 + 3*g**3 + 15*g**2/2 - 310*g. Find i such that f(i) = 0. -5, -1, 1 Let n(m) be the first derivative of -m**7/21 - m**6/3 - 7*m**5/10 - m**4/2 - 19*m + 109. Let c(o) be the first derivative of n(o). Factor c(q). -2*q**2*(q + 1)**2*(q + 3) Let c(i) = -i**3 - 14*i**2 - 22*i + 28. Let l be c(-12). Find s such that -40*s - 5*s**3 + l*s**4 - 122*s**2 + 13*s**2 + 59*s**2 + s**4 = 0. -2, -1, 0, 4 Let z = -2641 - -1607. Let s = 3110/3 + z. Factor 50/3*i + s*i**2 + 4. 2*(i + 6)*(4*i + 1)/3 Suppose 3*o - 7*o + 3*x = -8, -2 = -o - 3*x. Let q be (-7)/(-21)*7/((-147)/(-112)). Solve 4/9*c**3 - q*c + 0*c**o + 16/9 - 1/9*c**4 = 0. -2, 2 Let f(a) = a**2 - a - 17. Let i be f(5). Let n(k) = -k**3 + 3*k**2 + 5*k - 2. Let p be n(4). Find j such that -9*j - 134 - j - 9*j**p + j + 131 - 3*j**i = 0. -1 Let t be (-28)/154 + (-2)/(-11) - -3. Suppose 3*a = -a - 3*f + 77, f = t*a - 48. Factor 20 - 3*i - 5*i**2 + 0*i**2 - a*i + 5. -5*(i - 1)*(i + 5) Let f = -385 + 395. Let j be (4 + -2)/(f/(-45)*-15). Determine v so that 0 - j*v**2 + 3/5*v = 0. 0, 1 Suppose -43*y - 7551 + 8626 = 0. Let f(k) be the first derivative of 0*k + y + 20*k**3 + k**5 + 20*k**2 + 15/2*k**4. Let f(s) = 0. Calculate s. -2, 0 Let x(m) = m**3 + 8*m - 7. Let k be x(1). Suppose 5*y - 5*i = 25, -k*y + 0 - 5 = 3*i. Factor -2/3*t**y - 8/3 - 8/3*t. -2*(t + 2)**2/3 Let t be ((-10)/(-12) - -4) + -4. Let m(k) be the first derivative of t*k**2 + 12 - 1/3*k - 4/9*k**3. Factor m(f). -(f - 1)*(4*f - 1)/3 Let m(n) = 147*n**2 - 15777*n + 31094488. Let h(l) = 88*l**2 - 7889*l + 15547243. Let b(c) = -5*h(c) + 3*m(c). Solve b(w) = 0 for w. 3943 Let t(b) be the first derivative of 2*b**5/35 + 15*b**4/7 + 2156. Let t(h) = 0. Calculate h. -30, 0 Let a(m) be the third derivative of -m**5/20 - 7*m**4/4 - 49*m**3/2 - 987*m**2. Determine h, given that a(h) = 0. -7 Let z(f) be the first derivative of -f**3/7 - 612*f**2/7 - 124848*f/7 - 4683. Factor z(p). -3*(p + 204)**2/7 Let l(b) = -2*b + 2*b + b**2 - 1. Let m(x) = 1 + 298*x**2 + 292*x**2 + 301*x**2 - x - 885*x**2 - 6. Let k(q) = 11*l(q) - 2*m(q). Factor k(h). -(h - 1)**2 Let r(u) = -5*u**3 - 2*u**2 + 11*u + 50. Let l(q) = -q**3 - q**2 + 2*q + 9. Let m(g) = -6*l(g) + r(g). Factor m(w). (w - 1)*(w + 1)*(w + 4) Suppose 22*l = -25*l + 94. Suppose 0 = -i + 3*v + 12, -2*i - 13*v + 20 = -18*v. Let -1/6*j**l + i - 7/6*j = 0. What is j? -7, 0 Let z = -19417 + 19423. Let g(s) be the second derivative of 0*s**2 - 1/50*s**5 - 1/25*s**z + 1/10*s**4 + 2/15*s**3 - 1/105*s**7 + 0 - 8*s. Solve g(w) = 0. -2, -1, 0, 1 Let b = -126 - -128. Factor 11*t - b*t**2 - 23*t + 46 + 56*t. -2*(t - 23)*(t + 1) Let 231*o**2 - 527*o - 76*o - 275*o - 24 - 40*o = 0. Calculate o. -2/77, 4 Solve 21/5*z - 13/5*z**3 + 2*z**2 + 0 - 2/5*z**4 = 0. -7, -1, 0, 3/2 Suppose -391*h**2 + 38*h - 161*h**2 - 15*h**3 - 797 + 99*h**2 + 869 - 86*h**2 = 0. Calculate h. -36, -1/3, 2/5 Let x = -54 + 58. Suppose b - 3*z = 5, -b - x*z = -0 - 5. Factor -50*q + 68 + b*q**2 + 5*q**2 - 5*q**2 + 57. 5*(q - 5)**2 Factor 3*x**3 + 9 + 1/2*x**5 + 16*x**2 - 47/2*x - 5*x**4. (x - 9)*(x - 1)**3*(x + 2)/2 Let a(f) be the third derivative of -7*f - 13/15*f**6 + 0 - 26/3*f**3 + f**2 - 1/84*f**8 + 2/7*f**7 + 9/2*f**4 - 2/15*f**5. Suppose a(z) = 0. Calculate z. -1, 1, 13 Let m(d) be the third derivative of 0*d + 4/3*d**4 + 0 - 14/3*d**3 - 1/15*d**5 - 86*d**2. Factor m(x). -4*(x - 7)*(x - 1) Suppose 124 - 208 = z. Let v be (z/(-8) - 8)/5. Let -b**4 + 0*b + 0 + 1/2*b**5 + 0*b**2 + v*b**3 = 0. What is b? 0, 1 Let n(l) be the second derivative of -12*l**3 + 116*l + 0 + 0*l**2 + 61/3*l**4 + 7/5*l**5. Find b, given that n(b) = 0. -9, 0, 2/7 Factor -2/5*x**3 + 116/5*x + 224/5 - 2/5*x**2. -2*(x - 8)*(x + 2)*(x + 7)/5 Let w(a) = 18*a**2 + 19*a - 24. Let v be w(18). Solve 16 + 2*j**5 + 6130*j**2 + 3*j - 11*j + 2*j**3 + 8*j**4 - v*j**2 = 0. -2, 1 Let c(d) = d**2 + 2*d - 5. Let v be c(5). Solve -v - 12*m**2 - 18*m**2 - 19*m + 22*m + 5*m**3 + 52*m = 0. 1, 2, 3 Let s(f) = 2*f**2 + 7*f - 1. Let z(g) = 52*g**2 - 1224*g
{ "pile_set_name": "DM Mathematics" }
the nearest to 0? (a) f (b) -1 (c) 5 a Let o = 8062 - 8063. Let j = -0.02 + 0.32. What is the nearest to o in 3, j, 0.031? 0.031 Let z = -2725 + 2719. Let r = -1.1 - -1. What is the nearest to r in z, -1, 3? -1 Let u be (0 - 1) + 5 - (-66)/(-17). Which is the nearest to -1/4? (a) -1/6 (b) u (c) 0.3 a Let p = 0.0078 - 0.3348. Let z = p + 0.027. What is the nearest to 0 in -0.4, z, 4? z Let t = 1003 - 1006. Let b = 0.5 - 2.5. What is the nearest to 3 in t, -2/11, b? -2/11 Let x = 2.4 + -2. Let c = -151 - -49. Let i = -103 - c. What is the nearest to 1 in 2/3, i, x? 2/3 Let h = -171.3 + 174.3. Which is the nearest to -3? (a) h (b) -1/4 (c) 0.2 (d) -0.03 b Let l be 7/(-3)*(5 - 185/35). What is the closest to -5 in -0.01, 1/7, l? -0.01 Let f = -62 + 66. Let w = 8 + -6. Suppose -4*o + 14 = -3*k - 15, -4*k - 37 = -5*o. What is the nearest to k in f, w, -0.3? -0.3 Let y be (-38)/8 - 2/8. Let m be 2/4*(0 - 0). Which is the nearest to -2/9? (a) m (b) -3/5 (c) y a Let d = 3436/8615 + 2/1723. What is the closest to -1 in 0.5, -27, d, 2/3? d Let b(i) be the first derivative of i**3/3 - 5*i**2/2 - 19*i + 8. Let u be b(8). What is the closest to 0.1 in -7/4, 2, u? -7/4 Let j = 4/27 + 1/135. Let r = 1/15 + j. Suppose -5*d + d = -4*w + 20, -2*d - 3 = 5*w. What is the nearest to r in 0.2, -4, w? 0.2 Let i be 24/(-28)*(-6)/(-84)*7. Which is the closest to 1? (a) 9 (b) 0.4 (c) i b Let j be -4 - 6*4/(-24). Let h = -0.5 - 0. Suppose 8 = -2*u - 2. Which is the closest to 1/3? (a) j (b) h (c) u b Let g(n) = -6*n - 1. Let p be g(-1). Let o(u) = 6*u + 3. Let v be o(-1). Let x be 1/(v*12/(-9)). Which is the nearest to x? (a) 2/9 (b) p (c) 6 a Let g = -1995/4 + 499. Let l be (0 - (-52)/18) + -3. Let t = 1 - 3. Which is the closest to 0? (a) t (b) l (c) g b Let n = -4.4 + 4.392. Let t = -5.008 - n. What is the closest to -2 in t, 2, -1? -1 Suppose 4 = -2*h, -3*h + 23 - 29 = 3*a. What is the nearest to 2/5 in 6, 2, -3, a? a Let u(d) = d**2 - 1. Let j be u(-2). Let o = 34.28 - 29.28. Which is the closest to 0.1? (a) o (b) -11 (c) j c Let h = -302 + 279. What is the closest to h in -2/3, -2/5, 0.3? -2/3 Let d = 253/4 + -63. Let y = 1/1155 + 659/1155. Which is the closest to d? (a) 3 (b) y (c) 2 b Suppose 3*z = 6*z + 33. Let u = 13 + z. Let y = 9.1 + -9.6. What is the closest to -1 in -4/7, u, y? -4/7 Let c = 24/115 - -9/23. Let a = -0.64 + 2.64. What is the closest to a in 0.4, c, -4? c Let m = 0 - -0.1. Let f = 1.9 + m. Let n = -1.4 + 6.4. Which is the nearest to 2/3? (a) n (b) f (c) 1/4 c Let v = -0.04 - 0.03. Let w = 22.97 - 23. Let f = w + v. Which is the closest to 0? (a) 2/13 (b) f (c) -0.4 b Let k = -245/4 - -61. Let o = 23 + -23.4. Let t = -3 - -2.8. Which is the nearest to 1? (a) k (b) o (c) t c Let q = -0.15 + 0.11. Let h = -0.12 - q. Let m = 0.02 - h. What is the nearest to -1 in m, 0.3, 1/5? m Let n = 392 + -3139/8. Which is the closest to -3? (a) n (b) 0.09 (c) -2/5 c Let h = -0.02 - 0.28. Let j = 0.1 + h. Let q be (-1)/((-2)/((-5)/(-40)*4)). Which is the closest to q? (a) j (b) 4 (c) 3 a Let s(n) = -n**3 - n**2. Let d(g) = g + 7. Let k be d(-9). Let i be s(k). Suppose 5*p - h = -15, p + 4*h - 14 - i = 0. What is the nearest to -1 in -3, 0.2, p? p Let p = 617/5 - 123. Let x be ((-3)/(-90))/((-1)/(-4)). Let t be ((-12)/2)/(15/10). Which is the closest to x? (a) -3/8 (b) p (c) t b Let b = -12 + 10. Let z = -55.1 - -55. What is the nearest to b in 3, -0.4, z? -0.4 Let c = 4 + -3.6. Let k = c - -0.6. Let l = 0.5 + 4.5. What is the nearest to k in -4, 0.4, l? 0.4 Let b = -7396/33201 - -2/3689. What is the closest to -1 in b, -2, 1.2, -0.2? b Suppose 5*f + 4*t + 86 = 0, f - 2*t = -3*f - 48. Let v be ((-2)/48)/(f/42). Let q = -29/15 - -13/5. What is the closest to q in v, 5, 2? v Let b = -35/92 - -3/23. Let o = -10 + 27. Let w = o - 18. What is the nearest to w in -0.1, 5, b? b Let x = 219.4 - 219.9. Which is the closest to -2/7? (a) x (b) 98 (c) 0.4 (d) 0 a Let k = 2074 + -2073.8. What is the nearest to 0.09 in k, -1/7, -4, 2? k Let u = 23 - 22. Which is the nearest to -2? (a) u (b) -1 (c) -4/5 b Suppose 5*j = l - 23, 5*j = -3*l + 2*j - 3. Let m = 1/17 + -21/68. Let o = 20.55 - 20.95. Which is the closest to 2? (a) m (b) o (c) l c Suppose -10*g + 4 = -176. What is the closest to -0.1 in g, -5/2, -3? -5/2 Let h = 57 + -62.1. Let z = 5 + h. Let w = 16.1 - 15.9. Which is the nearest to z? (a) 4 (b) w (c) 2/5 b Let z = -99 + 98.9. What is the nearest to z in -0.3, -3/8, -1/8? -1/8 Let y(t) = 4*t + 1. Let r be y(-4). Let f be (-66)/r + (-4)/1. Let p be (-20)/16*(-6)/15. What is the closest to p in 2, f, 0.1? f Let h = 10 - 35. Let k = h + 6. Let u = k - -14. What is the nearest to 1 in 3/2, -2, u? 3/2 Let i = -716 - -717. Let y = 1.1 + -0.6. Which is the closest to i? (a) -4 (b) -0.3 (c) y c Let g be (1 + (-4)/3)/((-560)/(-480)). Which is the closest to g? (a) -0.5 (b) 70 (c) 0.2 (d) -2/7 d Let h = 0.1 - -4.9. Let k = 9 - 12. Let n = h + k. Which is the closest to -0.1? (a) n (b) -4 (c) 1/3 c Suppose 5*w = -0*w + 20. Let p = 449.6 - 450. Let u be (3/(-15))/((-4)/(-5)). What is the closest to u in -1, p, w? p Let z be (4 - (1 + 5))*(-1)/(-2). Which is the nearest to z? (a) 21 (b) 0.3 (c) 4 b Let g be 4/(1*-2) + (-266)/(-114). Let r = -0.3 + 0.8. Let u = r - 0.2. What is the nearest to -1 in -0.5, g, u? -0.5 Let m = -34 + 34.3. What is the closest to -3 in 4, -0.5, m? -0.5 Let y = -12.54 + 13.04. Let x = 0.1 - 0. What is the closest to x in 1/4, 2/5, y? 1/4 Let s = 0.0533 - 0.2533. What is the closest to 1/2 in -2, 1/19, s, -0.3? 1/19 Let g = 13 - 11.3. Let w = g - -0.3. Let o = -0.02 - 2.98. What is the closest to w in 0, o, -0.1? 0 Let y(q) = q + 5. Let h be y(-3). Let r = -9.1 - -8.7. Which is the closest to h? (a) -0.3 (b) 0.4 (c) r b Let k be (-20)/(-25) - 1/(630/(-24776)). Let t = k + -284/7. Which is the closest to 0? (a) -2/9 (b) t (c) 1/3 a Let t = -0.1 + -68.9. Let b = -68 - t. What is the nearest to -1 in 4, b, -0.2? -0.2 Let s be (-6)/(-4) + (0 - -2). Let p = -1.845 - -1.745. Which is the nearest to p? (a) s (b) -1/4 (c) -2 b Suppose 5 = -2*f - l + 4, -5*f - 10 = l. Let t = 45 + -44. Let s = -6 + 5.7. Which is the nearest to t? (a) 2/9 (b) f (c) s a Suppose 5*m + 14 + 6 = 4*h, 0 = 2*h - 2*m - 10. Which is the nearest to -1/4? (a) 2.7 (b) 4 (c) h (d) 2 d Let d be 2/(-5) + 23/(-5). Let g = 1029 + -1029.1. What is the nearest to 0.2 in d, -3, g? g Let f = -211 - -206. Which is the nearest to -2/5? (a) f (b) 0.2 (c) -2/9 c Suppose -o + q - 6 = 0, -3*o + 18 = -4*o + 5*q. Suppose -2*k + 0 = 8. Let z be (o/9)/(6/k). Which is the closest to 1/4? (a) -0.4 (b) 4 (c) z c Let c = 3.6 + 0.3. Let s = c + -3. Let u = s - 1.1. What is the nearest to -1/2 in 3/4, -0.03, u? u Let s = -455 - -455.1. Let j = -18 + 18.9. Let z = j + 4.1. Which is the nearest to -1? (a) 1 (b) s (c) z b Let t be 1*5 + (14 - (-786)/(-42)). Which is the closest to 1? (a) t (b) 8 (c) -1 a Suppose 69 = 3*f + 108. Which is the nearest to -0.2? (a) -0.6 (b) f (c) -2 a Let s = 271 + -267. Which is the nearest to -1? (a) 8 (b) s (c) 0 c Let x be -7 - -4 - (3 + -29). Let t = -22 + x. Which is the closest to -2/5? (a) -2/9 (b) t (c) 1/5 a Let w = -0.85 - -0.65. Let d = -11 + 11.02. Which is the nearest to w? (a) -2/19 (b) 0.3 (c) d a Let q = -0.2283 - -4.3353. Let d = q + -0.107. Which is the nearest to 15? (a) -0.1 (b) -0.5 (c) d c Let i = -10 - -12. Let j = -0.1 - -0.2. Let z = -28.9 + 25.9. What is the nearest to i in z, -4, j? j Let v = 134.8 - 139.8. Which is the closest to -2/11? (a) -13 (b) v (c) 2/7 (d) -4 c Suppose -8*p = -4*p - 32. Suppose 5*w = p*w + 3. What is the closest to w in -0.3, -1, 1? -1 Let z = 0.031 + 0.269. What is the closest to -1 in 4, z, 0.2, 0.5? 0.2 Let m = -1038 + 1043. Let f = 1 - 0.99. Which is the closest to -0.1? (a) m (b) -0.5 (c) f c Let g = 1830 - 1829. Which is the closest to -0.1? (a) 0.4 (b) 11 (c) g a Let s = 5/2 + -13/6. Let b = -32 + 30. What is the closest to 0 in 0, b, s? 0 Let r = 61 - 19. Let y = -41 + r. What is the nearest to 1 in 4, 6/11, y? y Let v = -924.7 - -925. Let q be 2/(-8) - (-1)/4. What is the nearest to 0 in q, -0.5, v? q
{ "pile_set_name": "DM Mathematics" }
-6*t + 72 - 8 - 16 - 23 - 10 - 15. -6*t Collect the terms in 1418*r**2 - 12 + 1 - 1741*r**2 + 11. -323*r**2 Collect the terms in -7367770*c**2 - 3 - 1 + 7367769*c**2 + 5. -c**2 + 1 Collect the terms in 0*k + 40*k**2 + 6245*k**3 - 7244*k**3 + 0*k - 40*k**2. -999*k**3 Collect the terms in 385987*h - 2 + 2. 385987*h Collect the terms in -62022*p**3 + 24464*p**3 + 37560*p**3. 2*p**3 Collect the terms in 226861*s - 453458*s + 226395*s. -202*s Collect the terms in 34498*q + 34537*q + 2*q**2 - 69161*q. 2*q**2 - 126*q Collect the terms in -4026769*p - 14706200*p + 453953*p. -18279016*p Collect the terms in 309*k - 6112141944 + 6112141944. 309*k Collect the terms in -1220 + 29552*v**2 + 2466 - 1246 - 29553*v**2. -v**2 Collect the terms in -5*c - c - 4*c - 7*c**2 + 207 + 6*c + 2215. -7*c**2 - 4*c + 2422 Collect the terms in 16*a - 26*a - 142326*a**3 + 10*a. -142326*a**3 Collect the terms in -105904 + 47605 - 2*c + 12830 - 124185. -2*c - 169654 Collect the terms in 2819*h**2 + 2818*h**2 + 2816*h**2 - 14086*h**2 + 2821*h**2 + 2818*h**2. 6*h**2 Collect the terms in 177*c**2 - 1370*c**2 + 128*c**2. -1065*c**2 Collect the terms in 3*y**2 - 2106 - 3499243*y + 3499245*y + 458. 3*y**2 + 2*y - 1648 Collect the terms in 1604*d + 1442*d - 5558*d + 1846*d. -666*d Collect the terms in 39121*a**3 + 39115*a**3 - 117349*a**3 + 39116*a**3. 3*a**3 Collect the terms in -614*t - 615*t + 1848*t + 1 - 600*t - 1. 19*t Collect the terms in -20*p - p - 36*p**2 - 27*p + 91*p - 23*p - 21*p. -36*p**2 - p Collect the terms in -80 - 25*r**3 + 12*r**3 + 11*r**3 + 80. -2*r**3 Collect the terms in -426329 + 852671 - 426342 - 66*n. -66*n Collect the terms in -5904 - 520*p**2 - 217*p**2 - 669*p**2 + 5904. -1406*p**2 Collect the terms in 39*x**3 - 56961*x + 28478*x + 28483*x + 25*x**3 + 31*x**3. 95*x**3 Collect the terms in 2399702*d - 2399702*d - 5*d**2. -5*d**2 Collect the terms in -10229604468*q**3 + 0*q**2 + 5114802280*q**3 + 5114802234*q**3 + 0*q**2. 46*q**3 Collect the terms in 5786*n + 12248*n - 25336*n. -7302*n Collect the terms in 229017*c - 54505*c - 1 + 1. 174512*c Collect the terms in -11930 + 1341*f + 5963 + 5967. 1341*f Collect the terms in -22*h - 24*h - 1165*h + 140*h. -1071*h Collect the terms in -7 - 6 - 3730*l**2 + 3723*l**2 + 43*l + 13 - 43*l. -7*l**2 Collect the terms in 118873 - 118873 + 5510*h**2. 5510*h**2 Collect the terms in -50*v - 7*v - v**2 + 7 - 43*v - 56*v - 151*v. -v**2 - 307*v + 7 Collect the terms in 40625723*m + 89*m**3 + 4*m**2 - 40625723*m. 89*m**3 + 4*m**2 Collect the terms in -9110*v + 12304*v - 34781*v - 19006*v. -50593*v Collect the terms in -418647*x - 575*x**2 + 418647*x. -575*x**2 Collect the terms in 118002*v + 63439*v + 27600 - 27600. 181441*v Collect the terms in 46683 - 23345 - 200*g + 107*g + 106*g - 23338. 13*g Collect the terms in -10*n**3 - 100*n**3 + 123*n**3 - 5*n**3 - 5*n**3 + 0*n**3. 3*n**3 Collect the terms in 816041*s**2 - 2837314*s**2 - 2662441*s**2 - 1120328*s**2. -5804042*s**2 Collect the terms in 1693*q**3 - 817*q**3 + 16972 - 16972. 876*q**3 Collect the terms in 1276 - 511 - 744 - 107*u. -107*u + 21 Collect the terms in -128*o + 44*o - 216*o**3 + 44*o + 40*o + 418*o**3. 202*o**3 Collect the terms in 234*a - 54*a + 125*a + 129*a**2. 129*a**2 + 305*a Collect the terms in -3278*m + 0 + 6 - 3284*m + 6563*m + 0. m + 6 Collect the terms in -2606*g - 8*g**2 + 1318*g + 1311*g + 1. -8*g**2 + 23*g + 1 Collect the terms in -90 - 89 - 4*i**2 + 38 - 96 + 237. -4*i**2 Collect the terms in 40*q - 20*q - 18*q**2 - 2*q - 5*q. -18*q**2 + 13*q Collect the terms in 0*x + 50006*x**3 + 0*x - 24995*x**3 - 25014*x**3. -3*x**3 Collect the terms in 7*q + 537*q + 124*q + 191*q + q. 860*q Collect the terms in 14*l + 5*l - 25*l - 7*l + 34*l. 21*l Collect the terms in 416*j + 183*j - 139*j + 649*j + 616*j. 1725*j Collect the terms in -116618334*n**3 + 137*n - 37*n - 50*n + 116618330*n**3 - 50*n. -4*n**3 Collect the terms in 56598*v**3 + 62777*v**3 - 119374*v**3. v**3 Collect the terms in 17*t + 54*t - 113*t - 55*t - 143*t. -240*t Collect the terms in 1007070097*v**3 - 1007070095*v**3 + 0*v**2 + 830 - 830 + 0*v**2. 2*v**3 Collect the terms in -1429042220153 + 1429042220153 - 6*g. -6*g Collect the terms in 78940*j**3 - 158213*j**3 + 79052*j**3. -221*j**3 Collect the terms in -9 - 283975*a + 5 + 4. -283975*a Collect the terms in -476*k**2 + 476*k**2 - 55*k**3 + 12*k**3 + 25*k**3 + 14*k**3. -4*k**3 Collect the terms in -125*b**3 + 243*b**3 - 121*b**3 - 287*b**2 - 5. -3*b**3 - 287*b**2 - 5 Collect the terms in -83676*r - r**2 + 83676*r - 25457 - 25488 + 50945. -r**2 Collect the terms in 1967*v - 740*v + 5663*v + 2265*v. 9155*v Collect the terms in 454132209*s**3 - 454133972*s**3 - 28*s + 28*s. -1763*s**3 Collect the terms in -16001*p**2 - 16016*p**2 - 16018*p**2 + 48032*p**2. -3*p**2 Collect the terms in 8*v**2 + 10*v**2 - 86*v - 9*v**2 - 7. 9*v**2 - 86*v - 7 Collect the terms in -3*g**2 - 2*g**3 + 3*g**3 - 2*g**3 - 31859. -g**3 - 3*g**2 - 31859 Collect the terms in -1097*u + u**2 - 1095*u - 952*u + 6 + 3144*u. u**2 + 6 Collect the terms in 1 - 134*f - 130*f + 400*f - 136*f - 392*f**2. -392*f**2 + 1 Collect the terms in -10*z - 6*z + 11*z + 25188. -5*z + 25188 Collect the terms in 5*r**2 - 51*r**2 + 23645032*r - 23645032*r. -46*r**2 Collect the terms in 1000 - 2983 - 592*o**3 + 989 + 994. -592*o**3 Collect the terms in 44*h - 15*h**2 + 340*h - 679*h. -15*h**2 - 295*h Collect the terms in -524 + 1201591*a + 524 - 1201678*a. -87*a Collect the terms in 16296*x**2 - 144*x**2 - 5417*x**2 + 28069*x**2. 38804*x**2 Collect the terms in -51 - 50 + 9562*u + 185 - 9560*u - 35 - 49. 2*u Collect the terms in -181*c**2 - 16860216*c + 16860216*c. -181*c**2 Collect the terms in -405*q - 538*q - 1 - 535*q + 1 + 1472*q. -6*q Collect the terms in -1007*h - 25*h**2 - 5*h**3 - 23*h**2 + 2011*h - 1004*h. -5*h**3 - 48*h**2 Collect the terms in -294 - 231 - 395 - 291 + 1211 - q. -q Collect the terms in -140*l**2 + 268*l + 266*l - 1074*l + 270*l + 270*l. -140*l**2 Collect the terms in -952 + 2703 - 83*c**3 + 3533. -83*c**3 + 5284 Collect the terms in 0*u**3 - 62*u**2 - 53*u**2 + 0*u**3 - 5*u**3 - 46*u**2 + 168*u**2. -5*u**3 + 7*u**2 Collect the terms in 4751 - 4*l**2 + 1774 - 732 - 913 + 3277. -4*l**2 + 8157 Collect the terms in 366*f + 388*f + 388*f - 764*f**3 + 387*f - 1529*f. -764*f**3 Collect the terms in -1 + 67*o + 24*o**2 - 67*o - 150*o**2 - 91*o**2. -217*o**2 - 1 Collect the terms in -96*s - 81*s - 94*s - 84*s - 94*s - 92*s + 542*s. s Collect the terms in -97537*k**3 + 48811*k**3 + 48818*k**3. 92*k**3 Collect the terms in 9 - 1539*g**3 + 1 - 6089*g**3 + 1011*g**3. -6617*g**3 + 10 Collect the terms in -8*r**2 + 2*r + 2399 - r**3 + 12*r**2 - 1547 - 4*r**2. -r**3 + 2*r + 852 Collect the terms in -408407*z**2 - 9302*z**2 - 91003*z**2 - 40303*z**2. -549015*z**2 Collect the terms in -39*d**2 + 15386*d - 30071*d + 14699*d. -39*d**2 + 14*d Collect the terms in 2375*h**2 - 5537*h**2 + 2382*h**2 + 781*h**2. h**2 Collect the terms in 2*h**3 - 6676*h**2 + h - h + 6676*h**2 + 5*h**3 - 2*h**3. 5*h**3 Collect the terms in 15006726*m**2 + 8*m - 15006726*m**2 + 6*m**3. 6*m**3 + 8*m Collect the terms in 15*y**2 - 7*y + 450*y**3 + 6*y + 13*y**2 + 2*y - 5*y**2. 450*y**3 + 23*y**2 + y Collect the terms in 22683 - 68127 + 22758 + 22686 + n - 3*n - 14*n**2. -14*n**2 - 2*n Collect the terms in -5*f**3 - 46*f + 133*f + 71*f - 166*f**2 + 330*f**2 - 170*f**2. -5*f**3 - 6*f**2 + 158*f Collect the terms in -4*j - 185*j**3 - j - 935*j**3 - 1882189*j**2 + 1882189*j**2. -1120*j**3 - 5*j Collect the terms in t**2 - 9451*t + 0*t**2 + 0*t**2 + 8 - 602*t. t**2 - 10053*t + 8 Collect the terms in -23632*k - 2201*k - 1645*k. -27478*k Collect the terms in 35262*x**2 - 11721*x**2 + 23 - 11779*x**2 - 11761*x**2 - 23. x**2 Collect the terms in 434*j**2 + 763*j - 823*j + j**3 - 434*j**2 - 2*j**3. -j**3 - 60*j Collect the terms in 7*z**2 + 5*z**2 + 680481 + z**2 - 7*z**2 - 680458. 6*z**2 + 23 Collect the terms in -2329*c**2 + 551*c**2 + 25 + 7*c - 7*c - 23. -1778*c**2 + 2 Collect the terms in 174 - 694*l - 654*l + 1455*l. 107*l + 174 Collect the terms in 84*g + 54*g - 272*g + 4*g**2 + 67*g + 4*g**2 + 67*g. 8*g**2 Collect the terms in 13 - 7 - 6 + 49*t**3 - 70*t**3 + 23*t**3. 2*t**3 Collect the terms in -6075*q**3 +
{ "pile_set_name": "DM Mathematics" }
et f = -1/63 - 61/126. Let p = -0.9706 - 0.0294. What is the third biggest value in -3, f, p? -3 Let u = 25 - 27. Let n = -53 + 57. Which is the fourth biggest value? (a) 2 (b) u (c) -2/11 (d) n b Let d = 819 - 818.8. What is the third biggest value in -0.07, 2, d, 2/3? d Let t be 72/(-324) + (-2)/72. Which is the fourth smallest value? (a) 0.1 (b) -5 (c) t (d) -0.4 a Let d = -0.4 + -1.6. Let s = -0.04 - -2.44. Let k = d + s. Which is the second smallest value? (a) -0.3 (b) k (c) 2/9 c Let k = -284 + 282. Which is the second biggest value? (a) -0.2 (b) k (c) 0.6 a Suppose -4*p - 2*x - 2 = 0, 4*p + 0 + 5 = -3*x. Let i = 3.9 - 0.9. Let n = -92 + 280/3. What is the second smallest value in n, p, i? n Let m = -28.9 - -26.9. What is the smallest value in m, 9, 0.4? m Let k = -336 - -2009/6. Let z be -2 - 0 - (-6)/4. Let m = z + k. What is the biggest value in -4, -0.3, m? -0.3 Let d = -0.1948 + 0.1948. Which is the third smallest value? (a) -11 (b) d (c) -2 b Suppose 3 = q - 0*p + 3*p, 3*p + 3 = -2*q. Let u be (q/6)/(23/2). Let k be (-2)/(-9) - 136/450. Which is the biggest value? (a) k (b) u (c) -1/11 a Let g be (-4)/(-10) + (-21)/65. Let s = g - 21/104. Let o = -106 - -314/3. What is the third biggest value in o, -2, s? -2 Let n = -0.1 + -0.3. Let g = 66.7615 + 0.0385. Let w = g - 67. Which is the third smallest value? (a) n (b) 0.3 (c) w b Let u = -0.072 + -2.928. Which is the second smallest value? (a) -1 (b) -8/7 (c) u b Let h(s) = s**3 - 6*s**2 + 5*s. Let q be h(5). Suppose -3*c - 3 - 2 = -z, 41 = 5*z + c. Let d = z + -6. What is the third biggest value in q, d, 3? q Let a = -106 + 106.073. Let b = 3.927 + a. What is the fourth smallest value in -4, 0.1, b, 0.4? b Let h = 517 - 545. What is the second smallest value in h, -5/4, -0.05? -5/4 Let v = -61.4 - -60.9. Which is the third biggest value? (a) -23 (b) v (c) 1/6 a Let o = 35.9 + -35. Let g = o - 1.4. What is the third smallest value in -2, g, -0.1? -0.1 Let o = -13 + 9.6. Let g = -5.4 - o. Let w(k) = k**2 + k + 4. Let s be w(0). What is the second biggest value in s, g, -3? g Let y = -52 - -22. Let m = 30.06 + y. Let d = 0.4 + -0.2. Which is the biggest value? (a) 1/7 (b) m (c) d c Let u = -242 - -350. Let n = -1081/10 + u. What is the smallest value in -1, n, -2/15? -1 Suppose 15*x + 4*i - 8 = 11*x, 8 = -2*i. Which is the biggest value? (a) 0.3 (b) x (c) -2 (d) 1 b Let f = 20 + -4. Let u = f + -2. Let i = -19 + u. Which is the second biggest value? (a) -0.2 (b) -2 (c) i b Let w = 28.1 + -27.1. Which is the fourth smallest value? (a) 5 (b) -4 (c) -7/6 (d) w a Let z = -85 - -130. Let f = z - 43.6. Which is the smallest value? (a) f (b) 3 (c) -2/3 c Let t = 2.79 + -2.39. Which is the second biggest value? (a) 8 (b) t (c) -0.06 (d) -3/2 b Let f = -25 + 27.5. Let j = -1.5 + f. Let x be ((-2)/5)/((-28)/40). Which is the second smallest value? (a) j (b) -2 (c) x c Let r = -2.62 - -2.42. What is the third biggest value in 2/3, 5, r, 1/5? 1/5 Let w = -1.1 + 1.01. Let m = -331 + 332. Which is the biggest value? (a) w (b) m (c) -3 b Let o = 4.8 - 1.8. Let t = -3.22 + o. Let m = t - 0.28. Which is the third smallest value? (a) m (b) 3/5 (c) -5 b Let q = -8.707 + -0.293. What is the third smallest value in 4/7, q, -20? 4/7 Let f = 483 - 483.11. Which is the second biggest value? (a) -2/15 (b) -0.4 (c) -2 (d) f a Suppose k + 4*k = 25. Suppose -k = -3*r + 7. Let f be (-80)/35 + (-6)/28. Which is the third smallest value? (a) r (b) f (c) -1/3 a Let l = 278 - 277. Which is the smallest value? (a) 7 (b) 2 (c) l c Let d be (-680)/(-11130)*1*-15. Let x = d - 12/53. What is the smallest value in 1/2, -1, x? x Let w be (1/3)/(4/96*4). Suppose -w*o - 44 = -13*o. What is the smallest value in 1, 2, -1, o? -1 Let y = 15.7 - 16. Let n = 0.56 - 5.56. What is the second smallest value in 1, y, 0.2, n? y Let s(v) = -v**2 - 31*v + 343. Let n be s(9). Which is the third smallest value? (a) -0.3 (b) n (c) -1/2 a Let r = -34 + 34.1. Let x be 1/(-2) - (-3244)/3816. Let p = x - -5/53. What is the third smallest value in p, -2/3, r? p Let o = -7.08 - -7.48. Which is the second smallest value? (a) o (b) 2/9 (c) -52 b Let w = -32 - -31.99. Let k = -0.09 + w. Which is the second smallest value? (a) 4 (b) -4/5 (c) k c Let s = -1.2 - -1. Let t = -20/129 - -169/258. Which is the smallest value? (a) s (b) t (c) 3/4 a Let u = -4.4 - -2.4. Let m = 1 - u. Which is the third biggest value? (a) 0.4 (b) 0.9 (c) m a Let y = -0.103 - 0.497. Which is the fourth smallest value? (a) -3 (b) y (c) -2/7 (d) -4 c Let u be (-9)/(-54) + (-17)/30. Let r = 3 + -15. Let x = r - -11.5. Which is the third smallest value? (a) 1/8 (b) u (c) x a Let n = 1.5 - 1.6. Let p = 141 - 140.5. Which is the third biggest value? (a) 0.1 (b) p (c) n c Let o = 0.5 + 5.5. Let v be (221/(-26))/(-17) - (-2)/(-12). Which is the third biggest value? (a) o (b) 0 (c) -4/5 (d) v b Suppose -h = -2*k + 1, -5*h = -6*h - 3. Let y = -0.99 - 0.01. Let f = y + 0.7. What is the second biggest value in 2, f, k? f Let n = -230/87 - 2/87. Let x = -5794/9 - -644. Which is the second biggest value? (a) n (b) -1 (c) -0.4 (d) x c Suppose -48 = 2*j - 5*r - 15, 4*j + 4*r = 4. What is the biggest value in -1, -0.4, j? -0.4 Let j = 2.1 - 0.1. Let p = -0.58584 - -0.08584. What is the third smallest value in -1/7, -2/5, j, p? -1/7 Let x(c) = 5*c - 11. Let g be x(5). Suppose -9*j = -g*j + 4155. Let q = j + -29083/35. What is the third smallest value in q, 1/4, -1/2? 1/4 Let j = -190.7 + 191. Which is the second biggest value? (a) -3 (b) 1 (c) j c Let i = 2.2 - 2.31. Let n = 0.41 + i. Which is the fourth smallest value? (a) -6 (b) n (c) 1 (d) -2 c Let z = 0.8 + -1. Let p = 2431.95 - 2432. What is the second smallest value in -1/3, p, z? z Let r = 1152.45 - 1152. What is the second smallest value in 0, 0.08, r? 0.08 Let m be 8/6*(-20)/(-16) + -3. Which is the second biggest value? (a) -3 (b) m (c) 0 (d) -1/2 d Let w = 114.51 + -108.4. Let p = -6.1 + w. Which is the second smallest value? (a) p (b) 11/5 (c) -4/3 a Let o = -0.225 + 0.525. What is the second smallest value in o, -21/4, 0, 1? 0 Let d = -68 - -478/7. What is the third biggest value in d, -6, -2, -0.4? -2 Let b = -0.223 + -0.177. What is the fourth biggest value in 4, b, -3/7, 0.034? -3/7 Let j = 12 + -9. Let m = -0.9 - 0.1. Let o be ((-8)/22)/2 - (-54)/660. Which is the biggest value? (a) m (b) o (c) j c Let c be (-248)/(-32) + -7 + 0. What is the second biggest value in -9, -0.2, c? -0.2 Let r = -39.7 + 21.5. Let v = -18 - r. What is the smallest value in 3, -0.05, 1/7, v? -0.05 Suppose 4*w - w = 0. Suppose -l = 2*s - 4*l + 15, -4*l + 12 = w. Let k = 7 + s. Which is the third biggest value? (a) k (b) 0.6 (c) 3 b Let s be (-26)/(-78) + (-40)/3. Let o be 14 + s - (-1)/(-3). What is the second biggest value in o, -2/5, -5? -2/5 Let t = 4/19 - 90/247. Let m = 3 + -6. Let g(j) = j + 11. Let q be g(-8). What is the third smallest value in t, m, q? q Let g = 7572.06 - 7498. Let k = g + -74. Which is the third smallest value? (a) 2 (b) -6/11 (c) k a Let n(s) = s**2 + 4*s - 17. Let o be n(3). What is the smallest value in o, -3/2, 1/5, -1/8? -3/2 Let o = 35 - 18. Let x = o - 17.1. What is the second biggest value in 6/5, x, 1/3? 1/3 Let m = 0.43 + 0.16. Let l = m - -4.41. Let w = -4 + 4.5. Which is the third smallest value? (a) -2/19 (b) l (c) w b Let f = -1.1 + -10.9. Let d = -7 - f. Let l = -32.6 + 33. What is the second smallest value in -0.3, d, l? l Suppose -g - 2*g - 4*w = -14, 3*g - 9 = -3*w. Let q be (-12)/(-24) + (-3)/g - 2. Let t = 6 - 4. Which is the biggest value? (a) t (b) q (c) -2 a Let h = -75.081 - -75. Let g = 3.781 + h. Let b = g + -4. What is the smallest value in 3/7, b, 4? b Let m = -657/5 - -131. Which is the smallest value? (a) m (b) 1/3 (c) 2 a Let m = -2037 - -2036.6. Let s = -436 - -3044/7. Which is the third smallest value? (a) s (b) m (c) 2/5 c Let u = -2.6 + 3.1. What is the third smallest value in u, 91, 5? 91 Suppose 61*i = 62*i - 2. Let j be 1 + i + (-8)/3. Let w = -2.1 + 0.1. What is the third smallest value in -6, j, w? j Suppose -5*i - 8 = -3. Let q(u) = -u**2 - 9*u + 2
{ "pile_set_name": "DM Mathematics" }
he second derivative of v(u). Suppose c(g) = 0. What is g? -1, 1 Suppose -10 + 2 = -c. Let z be 9/(-24)*c/(-12). Let 0*b**2 - 1/4*b**3 + z*b + 0 = 0. Calculate b. -1, 0, 1 Suppose -19 - 1 = -4*d. Factor -3/2*l**d + 3/2*l**4 + 0*l**2 + 0 + 0*l**3 + 0*l. -3*l**4*(l - 1)/2 Suppose 2*m + 2 = -0. Let l be m + (4 - 10/4). Factor -1/4 + 0*n + 0*n**3 + l*n**2 - 1/4*n**4. -(n - 1)**2*(n + 1)**2/4 Let y(v) be the second derivative of -v**7/840 + v**6/180 + v**3/3 + 2*v. Let q(o) be the second derivative of y(o). Determine h, given that q(h) = 0. 0, 2 Let s(t) be the second derivative of t**6/6 + t**5/2 - 5*t**4/12 - 5*t**3/3 + 17*t. Find r, given that s(r) = 0. -2, -1, 0, 1 Let s(n) be the first derivative of -n**2 + 0*n + 0*n**4 + 1 - 1/120*n**5 + 1/12*n**3. Let b(a) be the second derivative of s(a). Let b(y) = 0. Calculate y. -1, 1 Let s be (18/14)/(15/10). Factor -6/7*o**4 - s*o**3 - 2/7*o**2 + 0 + 0*o - 2/7*o**5. -2*o**2*(o + 1)**3/7 Let 20*u**2 - 4*u**2 + 28*u**3 + 16*u + 48*u**2 = 0. Calculate u. -2, -2/7, 0 Let k be (-4)/(-6) + (-44)/99. Find d such that -2/9*d**3 + 0*d - k*d**4 + 0 + 0*d**2 = 0. -1, 0 Let u(v) be the third derivative of -v**6/160 + v**5/24 - 3*v**4/32 + v**3/12 - 4*v**2. Factor u(p). -(p - 2)*(p - 1)*(3*p - 1)/4 Factor 7*w**2 - 7*w**4 - 2*w**3 + 3 + 8*w**3 - 2*w**4 - w**2 - 9*w + 3*w**5. 3*(w - 1)**4*(w + 1) Let a(y) be the first derivative of y**3/7 - 3*y/7 + 2. Determine u, given that a(u) = 0. -1, 1 Let c be 4/14*(0 + (0 - -2)). Factor -2/7*n**2 - 2/7 - c*n. -2*(n + 1)**2/7 Let c(i) be the third derivative of i**8/40320 - i**6/1440 + i**5/10 + 3*i**2. Let g(t) be the third derivative of c(t). Factor g(r). (r - 1)*(r + 1)/2 Suppose 4*n = p - 10, 2*p + 7*n = 5*n. Factor 1/2*o**p + 0 - 1/6*o**3 + 0*o. -o**2*(o - 3)/6 Let h(t) be the second derivative of -t**5/20 + t**4/6 - t**3/3 + 2*t**2 - t. Let m(n) = -n**2 + n - 1. Let j(d) = h(d) + 3*m(d). Factor j(b). -(b - 1)*(b + 1)**2 Let a = 151/525 + -6/25. Let l(w) be the second derivative of -1/10*w**5 - 1/15*w**6 + 1/6*w**4 + a*w**7 + 0*w**2 + 0 - 2*w + 0*w**3. Let l(t) = 0. What is t? -1, 0, 1 Let z(p) be the second derivative of p**4/42 - p**3/21 - 6*p**2/7 - 13*p. What is i in z(i) = 0? -2, 3 Suppose -4*y - 4 = -4*o, -5 = -3*y - 5*o + 16. Factor -4*g**y + 3*g - 3*g**2 + g + 5*g**2. -2*g*(g - 2) Let p(x) = -10*x**4 + 5*x**3 + 5*x**2 - 10*x. Let o(a) = a**5 + 10*a**4 - 6*a**3 - 4*a**2 + 11*a. Let g(h) = 5*o(h) + 6*p(h). Let g(i) = 0. What is i? -1, 0, 1 Suppose -2*u - f = 11, -4*f = -3 - 1. Let z be (1/(-6))/(u/12). Let -z*k**2 - 2/3*k - 1/3 = 0. What is k? -1 Let l be ((-3)/(-4))/((-18)/(-48)). Suppose l*z = -d + 4, 3 + 17 = z - 4*d. What is t in -2/9*t**3 - 2/3*t**z + 2/9*t + 2/3*t**2 + 0 = 0? -1, -1/3, 0, 1 Factor 0*w - 5/2*w**2 - 95/4*w**3 - 55*w**4 + 0. -5*w**2*(4*w + 1)*(11*w + 2)/4 Let f be (-3)/(-1) - 1*(-1 + 4). Let t(d) be the first derivative of 10/3*d**3 - 4*d**4 - 2/3*d**2 + f*d - 32/15*d**5 + 3. Factor t(b). -2*b*(b + 2)*(4*b - 1)**2/3 Let i(f) be the first derivative of -10/27*f**3 + 4/9*f**2 + 2 + 2/9*f. Let i(v) = 0. What is v? -1/5, 1 Let n(k) = k**3 + 4*k**2 + k - 3. Let c be n(-3). Suppose -2*j - 12 + 4 = -4*x, -j - 1 = -x. Factor 5 - 4*p**j - 3*p**3 + 2*p**c - 6 - 5*p - 1. -(p + 1)**2*(p + 2) Factor -9/4*a**3 + 0 - 3*a - 6*a**2. -3*a*(a + 2)*(3*a + 2)/4 Let g(q) be the first derivative of -q**8/840 + 2*q**7/525 - q**5/75 + q**4/60 - 3*q**2/2 - 1. Let s(d) be the second derivative of g(d). Factor s(t). -2*t*(t - 1)**3*(t + 1)/5 Let h be -8 - (3/(-3) - -3). Let g be (4/h)/((-24)/40). Suppose 0*p - 1/3*p**3 + g*p**2 + 0 = 0. What is p? 0, 2 Find n, given that -13*n - 60*n**2 - 13*n**4 - 8*n**4 + 6*n**3 + 3*n**5 + 37*n + 48*n**3 = 0. 0, 1, 2 Let z(v) be the third derivative of -2/15*v**5 + 1/15*v**6 + 10*v**2 + 0 + 0*v + 2/35*v**7 + 1/84*v**8 - 1/2*v**4 - 2/3*v**3. What is g in z(g) = 0? -1, 1 Let z(b) be the first derivative of -3*b**5/5 - 3*b**4/4 + 3*b**3 + 3*b**2/2 - 6*b - 10. What is m in z(m) = 0? -2, -1, 1 Let p(n) be the first derivative of 3*n**6 - 4*n**5/5 - 18*n**4 + 16*n**3/3 - 31. Suppose p(r) = 0. What is r? -2, 0, 2/9, 2 Suppose -31 - 1 = -8*z. Let m(n) be the third derivative of 1/120*n**5 - n**2 + 0*n + 0*n**z + 0 + 0*n**3. What is v in m(v) = 0? 0 Let o(h) be the second derivative of -2*h**6/15 + 4*h**5/5 - h**4 - 8*h**3/3 + 8*h**2 - 15*h. Determine t, given that o(t) = 0. -1, 1, 2 Find w, given that -63*w - 6 - 1725/4*w**3 - 1125/4*w**4 - 495/2*w**2 = 0. -2/5, -1/3 Let c = -7564/19 + 398. Let b = 44/57 + c. Determine q so that b*q**2 + 2/3*q + 0 = 0. -1, 0 Let a(x) be the second derivative of 0 + 32/27*x**3 + 74/45*x**5 + 10/63*x**7 - 4/9*x**2 - 11/6*x**4 + 7*x - 107/135*x**6. Find y such that a(y) = 0. 2/5, 1/2, 2/3, 1 Suppose 5*d - i - 7 = 0, 0 = 2*d - 6*d + 2*i + 2. Factor 7 - 7 + 2*g**d + 2*g. 2*g*(g + 1) Suppose -2*l - 3*k + 9 = -2*k, 5*k - 9 = 2*l. Let n(h) be the first derivative of 1/3*h**l + 3 - 1/2*h**2 + 0*h. Factor n(g). g*(g - 1) Let n(t) = -7*t**2 - 19*t - 15. Let u(v) = 20*v**2 + 56*v + 44. Let b(i) = 8*n(i) + 3*u(i). Factor b(c). 4*(c + 1)*(c + 3) Let o(h) be the second derivative of h**6/60 + h**5/20 - h**4/8 - h**3/3 + h**2 - 16*h. Let o(g) = 0. What is g? -2, 1 Let f(p) be the third derivative of -p**6/1440 + p**5/480 + p**4/48 - 2*p**3/3 + 2*p**2. Let n(q) be the first derivative of f(q). Factor n(v). -(v - 2)*(v + 1)/4 Let r(o) = 15*o**2 - 1. Let t be r(-1). Factor 8 - t*x + 16*x**2 - 6*x**3 + 0 - 4. -2*(x - 1)**2*(3*x - 2) Suppose 3*u + 8 = 3*m + 5, -3*m + 27 = 5*u. Find d, given that 10/9*d + 2*d**u + 32/9*d**2 - 4/9 = 0. -1, 2/9 Suppose -3*y + y**2 - 2 + 2 - 4*y**2 = 0. Calculate y. -1, 0 Let w(j) be the second derivative of -j**6/90 - j**5/15 - j**4/6 - 2*j**3/9 - j**2/6 - 9*j. Find o such that w(o) = 0. -1 Factor 0 + 1/7*g**3 + 0*g**2 - 1/7*g. g*(g - 1)*(g + 1)/7 Suppose 4*m - 11*m + 14 = 0. Let b(f) be the third derivative of -1/42*f**4 - m*f**2 + 0*f + 1/210*f**5 + 0 + 1/21*f**3. Suppose b(y) = 0. What is y? 1 Let s(r) be the second derivative of r**6/240 + r**5/160 - r**4/32 - 5*r**3/48 - r**2/8 + 20*r. Factor s(x). (x - 2)*(x + 1)**3/8 Let n(q) be the third derivative of q**5/90 - q**4/18 - q**3/3 + 13*q**2. Solve n(h) = 0. -1, 3 Suppose 3*n - n + 4 = 0. Let t = n - -4. Factor 1/2*k + 1/4*k**t + 0. k*(k + 2)/4 Let 0 - 2/5*f**3 + 0*f**2 + 0*f = 0. Calculate f. 0 Let a(h) be the first derivative of 1/8*h**4 + 0*h**2 + 1/3*h**3 + 0*h + 3. Let a(l) = 0. Calculate l. -2, 0 Factor -1/2*f**3 + 0 - 1/2*f**4 + 2*f**2 + 2*f. -f*(f - 2)*(f + 1)*(f + 2)/2 Let q be (((-18)/(-20))/9)/((-2)/(-5)). Factor 0*f**3 + 0 + 0*f + q*f**4 + 1/4*f**5 + 0*f**2. f**4*(f + 1)/4 Let b(r) = 3*r**4 + 9*r**3 + 6. Let v(l) = -l**4 - l**2 - 1. Let z(o) = b(o) + 6*v(o). What is h in z(h) = 0? 0, 1, 2 Let a(o) be the second derivative of -o**4/12 + o**3/6 + 11*o. What is j in a(j) = 0? 0, 1 Factor 0 - 1/2*r + 0*r**2 + 1/2*r**3. r*(r - 1)*(r + 1)/2 Let p(t) = 5*t**3 - 4*t**2 + 16*t. Let v(o) = 6*o**3 - 3*o**2 + 16*o. Let c(b) = 5*p(b) - 4*v(b). Factor c(j). j*(j - 4)**2 Let g = 148 + -83. Let f be (-1)/3 - g/(-105). Factor -2/7*c**2 + 2/7 + 2/7*c**3 - f*c. 2*(c - 1)**2*(c + 1)/7 Let f(s) be the second derivative of s**8/3360 + s**7/1260 - s**6/180 - s**4/2 + s. Let g(a) be the third derivative of f(a). Factor g(x). 2*x*(x - 1)*(x + 2) Let h = 88 - 84. Solve 0 + 0*s + 0*s**3 - 3/5*s**h + 1/5*s**2 - 2/5*s**5 = 0 for s. -1, 0, 1/2 Let f(a) = 21*a**2 - 1. Let i = 10 - 9. Let x be f(i). Factor u**2 + x*u - 18*u + 3*u**2. 2*u*(2*u + 1) Let s(y) be the third derivative of -y**6/120 + 3*y**5/80 + 5*y**4/48 - y**3/8 - 11*y**2. Solve s(g) = 0. -1, 1/4, 3 Let h(t) be the first derivative of 2*t**3/33 + 3*t**2/11 + 4*t/11 - 3. Factor h(r). 2*(r + 1)*(r + 2)/11 Suppose 3*g + 24 - 9 = 0. Let z = -3 - g. Determine x so that 7*x**5 + 2 + 8*x**4 + 2*x - z*x**5 - 2*x**2 - 3*x - 4*x**3 - 8*x**2 = 0. -1, 2/5, 1 Let n(h) be the second derivative of -h**7/6300 - 7*h**4/12 + 8*h. Let z(o) be the third derivative of n(o). Factor z(r). -2*r**2/5 Let f(a) = a**3 - a**2 - 4*a + 4. Let p be f(1). Factor 4/5*j**3 + 0*j**4 - 2/5*j**5 - 2/5*j + 0*j**2 + p. -2*j*(j - 1)**2*(j + 1)**2/5 Find u such that 4/9*u - 2/9 - 4/9*u**3 + 0*u**2 + 2/9*u**4 = 0. -1, 1 Suppose 2/5*q - 3/5*q**
{ "pile_set_name": "DM Mathematics" }
alculate -17*i(c) - 6*y(c). -179*c**2 + 2*c + 3 Let q(a) = -222*a**2 - a - 1. Let s(t) = -t**2 - 3*t - 1. What is -q(y) - s(y)? 223*y**2 + 4*y + 2 Suppose -6 = 16*t - 17*t, -5*t = 5*p - 625. Let s(u) = 680*u**2 + 119*u. Let f(x) = -17*x**2 - 3*x. What is p*f(q) + 3*s(q)? 17*q**2 Let r(c) = -22*c + 86. Let l(w) = 12*w - 44. What is -5*l(z) - 3*r(z)? 6*z - 38 Let t(z) be the second derivative of -z**3/3 - 718*z - 10. Let s(v) = 10*v + 8*v + 7*v. Calculate -3*s(k) - 35*t(k). -5*k Suppose -77*t - r - 298 = -72*t, -2*t - 5*r - 110 = 0. Let d(n) = -48*n**2 + 30*n + 30. Let g(x) = x**2 - x - 1. What is t*g(f) - 2*d(f)? 36*f**2 Suppose -7*j + j + 18 = 0. Let b(f) be the first derivative of f**4/2 - 14*f**3/3 + 14*f + 1605. Let r(s) = -s**2 + 1. What is j*b(d) - 42*r(d)? 6*d**3 Let k(h) = -4*h**3 + h + 7. Let o(p) be the second derivative of p**5/20 - p**2 - 1373*p. What is 2*k(n) + 9*o(n)? n**3 + 2*n - 4 Let y(f) = f**3 - 39*f**2 + 4*f + 13. Let i(s) = -s**3 - s**2 - s - 4. Give -2*i(u) - y(u). u**3 + 41*u**2 - 2*u - 5 Let q be 8 + -8 + 68/(2 + 0). Let u(j) = 4 + 2 + 33*j - q*j. Let k(i) = i - 7. Determine -3*k(s) - 4*u(s). s - 3 Suppose -y + 16 = 0, 97*s - 95*s + 3*y - 22 - 22 = 0. Let m(w) = 21*w - 1. Let i(d) = -1 - 2*d + 1. What is s*m(z) - 22*i(z)? 2*z + 2 Let m(s) = 217*s - 6. Let a(h) = -60979*h + 1688. Calculate -3*a(r) - 844*m(r). -211*r Let b(j) = -16*j**2 - 6*j - 7. Let t(i) be the second derivative of -49*i**4/12 - 17*i**3/6 - 10*i**2 - 200*i + 2. Give -17*b(d) + 6*t(d). -22*d**2 - 1 Let x(c) = -54*c**2 - 26. Let k(b) = 6*b**2 + 9. Suppose 10*a = -18*a - 140. Let q(y) = 6*y**2 + 8. Let w(s) = a*k(s) + 6*q(s). Give -52*w(t) - 6*x(t). 12*t**2 Let t(g) = 6*g - 1945*g**2 + 10 + 940*g**2 + 4*g + 959*g**2. Let a(s) = 15*s**2 - 3*s - 3. Determine -20*a(v) - 6*t(v). -24*v**2 Let r(i) = i**3 - 5*i**2 - 242. Let x(o) = 2*o**3 - 7*o**2 - 363. Calculate 7*r(v) - 5*x(v). -3*v**3 + 121 Let d(g) = -1. Let p(s) = -3 + 1 + 15*s**2 - 13*s**2. Suppose 8*o - 44 - 1236 = 0. Let q be (-2)/16 + (-140)/o. Calculate q*p(x) + 6*d(x). -2*x**2 - 4 Let j be 55*315/4389 - (-3)/57. Let q(l) = -70*l**3 - 3*l**2 - 3*l + 3. Let p(r) = -71*r**3 - 4*r**2 - 4*r + 4. Calculate j*q(t) - 3*p(t). -67*t**3 Let s(x) = x + 1. Let t(i) = -4*i - 708. Determine 6*s(j) + t(j). 2*j - 702 Let z(f) = 3*f + 1. Let g(d) = -5*d - 2. Let a = -88 - -98. Suppose -a = 3*b + 14. Give b*z(t) - 5*g(t). t + 2 Let a(y) = 11*y**2 - 44*y - 60. Let u(h) = 13*h**2 - 46*h - 70. Calculate -7*a(k) + 6*u(k). k**2 + 32*k Let i(j) = 167*j**2 - 2 + 8*j**3 - j + 161*j**2 - 486*j**2 + 157*j**2. Let k(b) = 33*b**3 - 4*b**2 - 3*b - 9. Give 9*i(d) - 2*k(d). 6*d**3 - d**2 - 3*d Let r(l) = -19163206*l + 22399. Let y(s) = -3422*s + 4. What is 4*r(c) - 22399*y(c)? -3446*c Let o(t) = -1625*t + 2. Let l(v) = 1628*v - 2. Calculate -3*l(c) - 4*o(c). 1616*c - 2 Let z(l) = -12*l**2 + 3*l - 441. Let r(a) = -5*a**2 + a - 230. Give 7*r(w) - 3*z(w). w**2 - 2*w - 287 Let w(a) = -a - 31. Let s(n) = 8288*n + 218. Give -s(t) - 7*w(t). -8281*t - 1 Let n(h) = 26*h**2 - 48*h - 14. Let i(j) = -78*j**2 + 138*j + 40. Determine 6*i(k) + 17*n(k). -26*k**2 + 12*k + 2 Let c(w) = -15*w**2 + 5109*w - 87. Let f(l) = 3*l**2 - 1022*l + 16. Calculate -2*c(q) - 11*f(q). -3*q**2 + 1024*q - 2 Let n(b) = -7*b**2 - 5*b + 7. Suppose 23*z + 76 = -12*z - 99. Let l(t) = -3*t**2 - 2*t + 3. What is z*l(u) + 2*n(u)? u**2 - 1 Let a(g) = 348230*g**3 + 1455*g**2 + 4365*g + 1455. Let i(s) = -479*s**3 - 2*s**2 - 6*s - 2. Give 2*a(y) + 1455*i(y). -485*y**3 Let v(j) = 5594*j - 72717. Let g be v(13). Let f(i) = 14*i + 0*i**2 - i**2 + 4*i**2 - 2. Let m(s) = 2*s**2 + 1 - 5*s - 4*s - 4*s**2. Determine g*f(u) + 8*m(u). -u**2 - 2*u - 2 Let c(y) = 0*y**2 - y**3 + 166 - y**3 - 163 - 3*y**2. Let n(l) = -2*l**3 - 2*l**2 - l + 2. Give 2*c(j) - 3*n(j). 2*j**3 + 3*j Let z(n) = -2*n. Let h(a) = a. Suppose 99*u - 104*u + 20 = 0. Suppose 13 - u = 3*v. Determine v*h(f) - z(f). 5*f Let f(u) = -u**2 + 3*u. Suppose 4*d - 28 = -4*t, -d + 11 = 3*t - 6. Let x(s) = -55*s**2 - 10*s + d*s + 58*s**2. Let r = 27 + -19. Determine r*f(w) + 3*x(w). w**2 Let t(b) = -5*b**2 - 3. Suppose -14*s + 3*s + 44 = 0. Suppose 2*h - 5 = 5*u, 2*u - s*h - 4 = -22. Let x(a) = a**2 - 1. Determine u*t(z) + 6*x(z). z**2 - 9 Let n(x) = 20*x**3 - 11. Let p be -1 - (-11)/(-22) - (-45)/6. Let a(l) = 5*l**3 - 3. What is p*n(d) - 22*a(d)? 10*d**3 Let p(w) = -w**2 + w. Let o(b) = 18*b**2 - 12*b - 2. Let n(m) = -4*o(m) - 56*p(m). Let f(k) = 50 - 45 - 11*k**2 - 5*k + 0*k. What is -8*f(g) + 5*n(g)? 8*g**2 Let v(b) = 8*b**2 - 5*b + 7. Suppose -3*a - 95 = 5*p - 92, a = 5*p + 39. Let m(u) = -23*u**2 + 15*u - 20. Determine p*m(c) - 17*v(c). 2*c**2 - 5*c + 1 Let d(s) = 4*s**2 - 5. Let a = -562 - -612. Let z(y) = a + 27*y**2 - 3 - 83. What is 36*d(o) - 5*z(o)? 9*o**2 Let m(g) = 2*g - 31*g**2 + 5*g**3 + 65*g**2 - 34*g**2. Let x(h) = -4*h + 0*h - 5*h**3 + 3*h. Calculate 3*m(j) + 4*x(j). -5*j**3 + 2*j Let j(b) = -20*b**3 + 8*b**2 + 5*b - 7. Let i(k) = -k**3 - k**2 - 2*k + 1. Give -6*i(z) - j(z). 26*z**3 - 2*z**2 + 7*z + 1 Let o(j) = j**2 - 6*j - 6. Let y(k) be the third derivative of 1/60*k**5 + 0 + 0*k - 114*k**2 - 11/6*k**3 - 11/24*k**4. Determine 11*o(w) - 6*y(w). 5*w**2 Let z(r) be the second derivative of 2*r**3/3 - 9*r**2 + 65*r + 16. Let o(m) = m. Give 3*o(j) - z(j). -j + 18 Let v(h) = 3*h. Let z(u) = -10*u + 283. What is 2*v(f) + z(f)? -4*f + 283 Let k(c) = -215*c**3 - 11*c**2 - 130*c + 20. Let p(t) = -76*t**3 - 4*t**2 - 43*t + 7. Calculate 6*k(f) - 17*p(f). 2*f**3 + 2*f**2 - 49*f + 1 Let j be (0 - 15/12)/((-25)/(-100)). Let x(n) = -2*n**3 - 3*n**2 - n - 2. Let o(v) = -10 + 5*v**2 - 5 + 4*v**3 + v + v + 19. What is j*x(y) - 3*o(y)? -2*y**3 - y - 2 Let q(t) = -246779*t**2 + 3241*t - 3241. Let z(o) = -457*o**2 + 6*o - 6. Give 6*q(f) - 3241*z(f). 463*f**2 Let d(v) = -11*v + 36. Let m(x) = 1280*x - 7667. Let r be m(6). Let t(l) = -5*l + 18. Calculate r*t(g) - 6*d(g). g + 18 Let l(g) = g**2 + 2*g - 23. Let v be (-10)/(-3) - (-6)/9. Let f be l(v). Let z(t) = 1 - 4*t - t + 0*t. Let a(i) = -1. What is f*z(d) + 2*a(d)? -5*d - 1 Let t(d) = 39*d + 59. Let q(f) = -39*f - 70. Let r(l) = 4*q(l) + 5*t(l). Let j(h) = -8*h - 3. Determine 24*j(k) + 5*r(k). 3*k + 3 Let u(n) = -825*n + 10. Let c(a) = -826*a + 9. What is 9*c(r) - 8*u(r)? -834*r + 1 Let f(p) be the second derivative of p**4/12 - 5*p**3/6 + 5*p**2/2 - 1880*p. Let b(c) = -c**2 + 4*c - 4. What is -7*b(n) - 6*f(n)? n**2 + 2*n - 2 Let g(v) = v + 7. Let u(q) = -2*q - 21. Let s = -8715 - -8704. Give s*g(f) - 4*u(f). -3*f + 7 Let t(f) = -1588*f - 2. Let h(g) = 1590*g + 2. What is 4*h(u) + 5*t(u)? -1580*u - 2 Let h(o) = -30*o**2 + 3*o. Let f = -85 - -82. Let j(w) = -90*w**2 + 8*w. Calculate f*j(d) + 8*h(d). 30*d**2 Let o(m) = -27*m - 30*m - 23*m + 100*m - 23*m. Let d be 4/(-14) - 142/(-7). Let p(n) = -n. What is d*p(j) - 5*o(j)? -5*j Let l(r) = -r**2 - r - 1. Let a(c) = -27*c - 2*c**2 + 7*c**2 + 97 - 29 - 31 - 33. Determine -a(s) - 4*l(s). -s**2 + 31*s Let m(h) = -13*h**2 + 15*h - 2. Let v(q) = -7*q**2 + 8*q - 1. Let o be 4/8*212 + (4 - 0). Suppose p = -9*p - o. Give p*v(y) + 6*m(y). -y**2 + 2*y - 1 Let i(s) = 3*s + 5. Let r(t) = -5*t - 11. Let x(z) = -z**2 + 23*z + 466. Let m be x(36). Determine m*r(b) - 5*i(b). -5*b - 3 Let j(q) = -4*q**3 - 14*q**2 + 9*q + 38. Let f(g) = -g**3 - 4*g**2 + 3*g + 12. Calculate 10*f(a) - 3*j(a). 2*a**3 + 2*a**2 + 3*a + 6 Let d(f) = -659020*f**3 + 830*f**2 - 415*f - 415. Let w(q) = -9551*q**3 + 12*q**2 - 6*q - 6. Give -6*d(g) + 415*w(g). -9545*g**3 Let s(f) = 536*f**3 - 5*f**2 + 36*f + 25. Let k(u) = 269*u**3 - 3*u**2 + 19*u + 15. What is -5*k(c) + 3*s(c)? 263*c**3 + 13*c Let s = 1 + 6. Let k(a) = -25*a**2 + 58*a + 12. Let v(m) = -29*m**2 + 66*m + 14. Let g(t) = -7*k(t) + 6*v(t). Let q(l) = -l**2 + 15*l. What is s*g(f) + 5*q(f)? 2*f**2 + 5*f Let z(b) be the first derivative of -10*b**4 - 3*b + 1886. Let t(s) = 79*s**3 + 5. Determine -3*t(c) - 5*z(c). -37*c**3 Let y(p) = -233*p + 300. Let m(j) = 312*j - 299. Calculate -3*m(i) - 4*y(i). -4*i - 303 Let z(l) = 4*l - 10. Let p(k) be the first derivative of 5*k**2/2 - 10*k - 3333. Determine 5*p(i) - 6*z(i). i + 10 Let s(k) = 3*k + 5. Suppose -8*g + 18 = -5*g. Let w(d) = d + 2. Suppose 43*m + 44 + 601 = 0. Determi
{ "pile_set_name": "DM Mathematics" }
s of 5342. 2, 2671 List the prime factors of 68538. 2, 3, 11423 What are the prime factors of 9678? 2, 3, 1613 List the prime factors of 1324. 2, 331 List the prime factors of 79274. 2, 13, 3049 List the prime factors of 183152. 2, 11447 List the prime factors of 12138. 2, 3, 7, 17 What are the prime factors of 932? 2, 233 What are the prime factors of 3199? 7, 457 What are the prime factors of 1059? 3, 353 What are the prime factors of 16151? 31, 521 What are the prime factors of 2495? 5, 499 What are the prime factors of 8267? 7, 1181 What are the prime factors of 103434? 2, 3, 17239 List the prime factors of 1808. 2, 113 List the prime factors of 15713. 19, 827 List the prime factors of 46575. 3, 5, 23 What are the prime factors of 4100? 2, 5, 41 List the prime factors of 15901. 15901 What are the prime factors of 27622? 2, 7, 1973 List the prime factors of 10673. 13, 821 List the prime factors of 15449. 7, 2207 What are the prime factors of 12996? 2, 3, 19 List the prime factors of 903. 3, 7, 43 What are the prime factors of 1185? 3, 5, 79 What are the prime factors of 43558? 2, 29, 751 List the prime factors of 4310. 2, 5, 431 What are the prime factors of 1270? 2, 5, 127 What are the prime factors of 19863? 3, 2207 List the prime factors of 4773. 3, 37, 43 List the prime factors of 18485. 5, 3697 List the prime factors of 618. 2, 3, 103 List the prime factors of 873. 3, 97 List the prime factors of 1602. 2, 3, 89 List the prime factors of 134637. 3, 44879 List the prime factors of 23149. 7, 3307 List the prime factors of 54951. 3, 13, 1409 List the prime factors of 1773. 3, 197 What are the prime factors of 1380? 2, 3, 5, 23 List the prime factors of 1416. 2, 3, 59 List the prime factors of 784. 2, 7 List the prime factors of 4734. 2, 3, 263 List the prime factors of 30825. 3, 5, 137 List the prime factors of 518. 2, 7, 37 What are the prime factors of 59745? 3, 5, 7, 569 What are the prime factors of 42209? 42209 What are the prime factors of 24968? 2, 3121 List the prime factors of 103796. 2, 7, 11, 337 What are the prime factors of 89? 89 List the prime factors of 68922. 2, 3, 7, 547 List the prime factors of 124504. 2, 79, 197 List the prime factors of 10013. 17, 19, 31 What are the prime factors of 3353? 7, 479 What are the prime factors of 17996? 2, 11, 409 What are the prime factors of 7997? 11, 727 What are the prime factors of 2676? 2, 3, 223 List the prime factors of 21525. 3, 5, 7, 41 What are the prime factors of 5042? 2, 2521 What are the prime factors of 1869? 3, 7, 89 List the prime factors of 17227. 7, 23, 107 What are the prime factors of 28684? 2, 71, 101 List the prime factors of 44542. 2, 22271 List the prime factors of 626. 2, 313 List the prime factors of 4875. 3, 5, 13 List the prime factors of 1743. 3, 7, 83 List the prime factors of 433. 433 What are the prime factors of 4053? 3, 7, 193 List the prime factors of 7607. 7607 List the prime factors of 584. 2, 73 What are the prime factors of 4502? 2, 2251 List the prime factors of 13868. 2, 3467 List the prime factors of 140175. 3, 5, 7, 89 What are the prime factors of 21425? 5, 857 What are the prime factors of 2298? 2, 3, 383 List the prime factors of 3661. 7, 523 List the prime factors of 11912. 2, 1489 List the prime factors of 335. 5, 67 List the prime factors of 94. 2, 47 What are the prime factors of 1380? 2, 3, 5, 23 List the prime factors of 76160. 2, 5, 7, 17 What are the prime factors of 182200? 2, 5, 911 What are the prime factors of 3529? 3529 List the prime factors of 41279. 7, 5897 List the prime factors of 21744. 2, 3, 151 What are the prime factors of 28910? 2, 5, 7, 59 List the prime factors of 111. 3, 37 What are the prime factors of 24291? 3, 2699 What are the prime factors of 141464? 2, 17683 What are the prime factors of 9008? 2, 563 List the prime factors of 794. 2, 397 What are the prime factors of 19049? 43, 443 List the prime factors of 33357. 3, 11119 What are the prime factors of 8496? 2, 3, 59 List the prime factors of 2406. 2, 3, 401 List the prime factors of 2395. 5, 479 List the prime factors of 1130. 2, 5, 113 What are the prime factors of 1898? 2, 13, 73 List the prime factors of 23210. 2, 5, 11, 211 List the prime factors of 347. 347 What are the prime factors of 4279? 11, 389 List the prime factors of 4239. 3, 157 What are the prime factors of 5121? 3, 569 List the prime factors of 1606. 2, 11, 73 What are the prime factors of 2901? 3, 967 List the prime factors of 634. 2, 317 What are the prime factors of 1251? 3, 139 What are the prime factors of 4059? 3, 11, 41 List the prime factors of 43723. 23, 1901 List the prime factors of 97. 97 What are the prime factors of 724? 2, 181 List the prime factors of 962. 2, 13, 37 List the prime factors of 12184. 2, 1523 List the prime factors of 594. 2, 3, 11 What are the prime factors of 22246? 2, 7, 227 List the prime factors of 3076. 2, 769 List the prime factors of 26654. 2, 13327 List the prime factors of 3665. 5, 733 List the prime factors of 17801. 7, 2543 What are the prime factors of 5458? 2, 2729 What are the prime factors of 839? 839 List the prime factors of 2012. 2, 503 List the prime factors of 139622. 2, 7, 9973 List the prime factors of 34480. 2, 5, 431 What are the prime factors of 63149? 63149 List the prime factors of 76811. 7, 10973 What are the prime factors of 264? 2, 3, 11 What are the prime factors of 52708? 2, 13177 List the prime factors of 9315. 3, 5, 23 List the prime factors of 91638. 2, 3, 1697 What are the prime factors of 60473? 7, 53, 163 List the prime factors of 42058. 2, 17, 1237 What are the prime factors of 523? 523 List the prime factors of 1361. 1361 What are the prime factors of 5744? 2, 359 List the prime factors of 11445. 3, 5, 7, 109 List the prime factors of 20478. 2, 3, 3413 List the prime factors of 767. 13, 59 List the prime factors of 10869. 3, 3623 List the prime factors of 2825. 5, 113 What are the prime factors of 1032? 2, 3, 43 List the prime factors of 26017. 26017 List the prime factors of 78637. 13, 23, 263 List the prime factors of 8291. 8291 List the prime factors of 5736. 2, 3, 239 List the prime factors of 5932. 2, 1483 List the prime factors of 37234. 2, 18617 List the prime factors of 1516. 2, 379 What are the prime factors of 122? 2, 61 What are the prime factors of 1318? 2, 659 What are the prime factors of 1698? 2, 3, 283 List the prime factors of 4737. 3, 1579 What are the prime factors of 566? 2, 283 List the prime factors of 13865. 5, 47, 59 List the prime factors of 5920. 2, 5, 37 List the prime factors of 64845. 3, 5, 11, 131 What are the prime factors of 3492? 2, 3, 97 What are the prime factors of 1451? 1451 What are the prime factors of 98786? 2, 49393 What are the prime factors of 67? 67 What are the prime factors of 24106? 2, 17, 709 List the prime factors of 2381. 2381 List the prime factors of 227. 227 List the prime factors of 14228. 2, 3557 What are the prime factors of 36048? 2, 3, 751 List the prime factors of 3057. 3, 1019 List the prime factors of 16242. 2, 3, 2707 List the prime factors of 18468. 2, 3, 19 What are the prime factors of 378? 2, 3, 7 What are the prime factors of 26089? 7, 3727 What are the prime factors of 607? 607 What are the prime factors of 60958? 2, 29, 1051 What are the prime factors of 910? 2, 5, 7, 13 What are the prime factors of 18757? 18757 What are the prime factors of 684? 2, 3, 19 List the prime factors of 21171. 3, 7057 List the prime factors of 170884. 2, 7, 17, 359 What are the prime factors of 28567? 7, 11, 53 List the prime factors of 2031. 3, 677 What are the prime factors of 268? 2, 67 List the prime factors of 36517. 13, 53 List the prime factors of 48174. 2, 3, 7, 31, 37 What are the prime factors of 11092? 2, 47, 59 What are the prime factors of 5455? 5, 1091 List the prime factors of 1902. 2, 3, 317 What are the prime factors of 83638? 2, 19, 31, 71 What are the prime factors of 1624? 2, 7, 29 What are the prime factors of 22758? 2, 3, 3793 List the prime factors of 15250. 2, 5, 61 What are the prime factors of 4667? 13, 359 What are the prime factors of 6215? 5, 11, 113 What are the prime factors of 13056? 2, 3, 17 What are the prime factors of 796? 2, 199 List t
{ "pile_set_name": "DM Mathematics" }
t replacement from {b: 1, n: 2, d: 1, e: 1, s: 1, t: 1}. 1/105 Three letters picked without replacement from vllleelelhlelleeve. What is prob of sequence llv? 7/306 What is prob of sequence oge when three letters picked without replacement from {e: 4, o: 2, g: 2, a: 1}? 2/63 Calculate prob of sequence ppm when three letters picked without replacement from pxpmpxp. 2/35 Three letters picked without replacement from qiivo. Give prob of sequence ioq. 1/30 Calculate prob of sequence ue when two letters picked without replacement from uepe. 1/6 Three letters picked without replacement from xmvkvvumuu. What is prob of sequence vuk? 1/80 Calculate prob of sequence kl when two letters picked without replacement from {k: 7, l: 2, o: 5}. 1/13 Calculate prob of sequence cb when two letters picked without replacement from {b: 4, j: 1, t: 1, d: 2, c: 3}. 6/55 Three letters picked without replacement from {l: 2, i: 4, w: 7}. What is prob of sequence wwl? 7/143 Two letters picked without replacement from jjnnnnrnj. Give prob of sequence rn. 5/72 Calculate prob of sequence eese when four letters picked without replacement from {e: 9, s: 7}. 21/260 Calculate prob of sequence fh when two letters picked without replacement from fffhfhfhhfhfh. 7/26 Two letters picked without replacement from eeeeleeleeeeeleele. What is prob of sequence ee? 91/153 Calculate prob of sequence spp when three letters picked without replacement from pppppsppppppss. 55/364 Calculate prob of sequence ywxx when four letters picked without replacement from {x: 3, j: 1, w: 6, y: 8}. 1/255 Three letters picked without replacement from {j: 5, t: 1, e: 5, o: 3, l: 1}. What is prob of sequence ltj? 1/546 Two letters picked without replacement from tooooozzooozoot. Give prob of sequence oz. 1/7 Two letters picked without replacement from {l: 4, y: 1, z: 6, m: 1, s: 4}. What is prob of sequence sz? 1/10 Calculate prob of sequence xyxx when four letters picked without replacement from xxxyxxxxxyx. 7/55 Three letters picked without replacement from hdhctbc. What is prob of sequence dch? 2/105 Calculate prob of sequence zvc when three letters picked without replacement from yzcccov. 1/70 Three letters picked without replacement from ysissspsspssspsppypp. Give prob of sequence isy. 1/342 Three letters picked without replacement from {z: 4, j: 2}. Give prob of sequence zjz. 1/5 Three letters picked without replacement from zuzzzzzzuzzzuzz. What is prob of sequence zuu? 12/455 Three letters picked without replacement from {z: 2, m: 1}. What is prob of sequence mzz? 1/3 Two letters picked without replacement from {t: 2, q: 2, l: 1, d: 1, y: 1, z: 1}. What is prob of sequence yq? 1/28 What is prob of sequence iq when two letters picked without replacement from qiibiiqaqiqiiq? 5/26 Calculate prob of sequence hl when two letters picked without replacement from swhfkll. 1/21 Four letters picked without replacement from ummyyu. Give prob of sequence mmuy. 1/45 Two letters picked without replacement from nqqbnqaqqllnhnh. Give prob of sequence an. 2/105 Three letters picked without replacement from xpppxpx. Give prob of sequence xxp. 4/35 Calculate prob of sequence eeee when four letters picked without replacement from eeeeee. 1 Two letters picked without replacement from ddmdddddmmd. What is prob of sequence mm? 3/55 Calculate prob of sequence gkkg when four letters picked without replacement from gkggk. 1/10 Two letters picked without replacement from {t: 1, k: 2, o: 1, v: 1}. Give prob of sequence ov. 1/20 Calculate prob of sequence sfrf when four letters picked without replacement from sssfuisrsfufss. 1/572 Calculate prob of sequence jzzj when four letters picked without replacement from {y: 4, z: 2, u: 2, r: 2, w: 3, j: 2}. 1/8190 What is prob of sequence ghy when three letters picked without replacement from yghgvgggg? 1/84 Calculate prob of sequence qn when two letters picked without replacement from {q: 14, n: 1}. 1/15 Two letters picked without replacement from krdsk. What is prob of sequence sd? 1/20 Two letters picked without replacement from jvvhhgjvrhhp. Give prob of sequence vj. 1/22 What is prob of sequence ejt when three letters picked without replacement from teuttjuttttte? 4/429 Two letters picked without replacement from nnnbwnnby. Give prob of sequence bb. 1/36 Calculate prob of sequence jr when two letters picked without replacement from srsjjrspjpjsssssp. 1/34 What is prob of sequence xac when three letters picked without replacement from {x: 7, a: 4, c: 2}? 14/429 Three letters picked without replacement from {z: 2, i: 2, p: 4, u: 4}. What is prob of sequence iiu? 1/165 Three letters picked without replacement from {g: 3, z: 13, d: 2, t: 2}. What is prob of sequence dzz? 13/285 Three letters picked without replacement from auussuuuuuauu. Give prob of sequence uus. 12/143 What is prob of sequence mvmm when four letters picked without replacement from vvmvmvmmvmmmvvmm? 21/260 What is prob of sequence hfls when four letters picked without replacement from {h: 1, w: 4, l: 2, f: 1, q: 2, s: 4}? 1/3003 Four letters picked without replacement from {c: 6, b: 13}. Give prob of sequence ccbb. 65/1292 Four letters picked without replacement from {o: 1, y: 1, t: 1, p: 1, d: 1}. What is prob of sequence oypt? 1/120 Three letters picked without replacement from {c: 7}. What is prob of sequence ccc? 1 What is prob of sequence pa when two letters picked without replacement from {a: 7, p: 10, b: 1}? 35/153 Four letters picked without replacement from udabaocou. What is prob of sequence oaoa? 1/756 Calculate prob of sequence zyhh when four letters picked without replacement from hqrrzzqrrrrhzyzqz. 1/5712 Three letters picked without replacement from {q: 4, j: 1, h: 1, t: 4, o: 1}. What is prob of sequence jto? 2/495 Three letters picked without replacement from {x: 1, u: 10, t: 5, z: 1}. What is prob of sequence ttu? 5/102 Two letters picked without replacement from {o: 10, c: 2, m: 1, i: 3}. What is prob of sequence ii? 1/40 Calculate prob of sequence zq when two letters picked without replacement from {w: 1, t: 1, z: 1, s: 1, q: 1}. 1/20 Three letters picked without replacement from mjmggugjmum. Give prob of sequence mgg. 4/165 Four letters picked without replacement from ssqimmmmsmmsqxmmsmmi. Give prob of sequence xsqm. 5/5814 Three letters picked without replacement from {b: 11, i: 1, u: 5, g: 2}. What is prob of sequence iuu? 10/2907 Four letters picked without replacement from {f: 8, r: 1, b: 1, w: 2, p: 2}. Give prob of sequence ffwr. 2/429 Three letters picked without replacement from fxofcfffffcfxxxcxxxc. What is prob of sequence cxf? 28/855 Four letters picked without replacement from {h: 7, s: 1, l: 4, d: 3, z: 1}. Give prob of sequence zsdh. 1/2080 Two letters picked without replacement from jjhgggghho. Give prob of sequence oj. 1/45 Two letters picked without replacement from eqeovevqne. Give prob of sequence nq. 1/45 Calculate prob of sequence yw when two letters picked without replacement from wwywywnywn. 1/6 Four letters picked without replacement from {t: 2, u: 3, b: 10, n: 4}. Give prob of sequence ntnb. 5/1938 What is prob of sequence mt when two letters picked without replacement from tfm? 1/6 Four letters picked without replacement from {u: 2, i: 4, p: 6}. What is prob of sequence iuui? 1/495 Four letters picked without replacement from rorrrootxot. Give prob of sequence rrtr. 1/165 Two letters picked without replacement from {g: 4, l: 2, r: 1, j: 3, n: 1}. Give prob of sequence jj. 3/55 What is prob of sequence cscs when four letters picked without replacement from {c: 3, s: 8}? 7/165 Calculate prob of sequence ed when two letters picked without replacement from {c: 1, d: 1, v: 2, e: 1, g: 2}. 1/42 What is prob of sequence wgkg when four letters picked without replacement from xjxwkjggzgjgzj? 1/2002 Two letters picked without replacement from aylqqyquqluysas. What is prob of sequence au? 2/105 Two letters picked without replacement from {n: 1, e: 7, m: 1, w: 9}. What is prob of sequence mn? 1/306 What is prob of sequence kg when two letters picked without replacement from {k: 4, r: 2, g: 2, u: 3}? 4/55 Two letters picked without replacement from {z: 1, p: 2, y: 1, e: 4, w: 1}. G
{ "pile_set_name": "DM Mathematics" }
derivative of -667985397*s**2 + 46*s - 7011801? -1335970794 Differentiate -5017656*a**4 + 3687663 with respect to a. -20070624*a**3 Find the third derivative of 811803*k**4 - 13*k**3 + 21604575*k**2 wrt k. 19483272*k - 78 Find the second derivative of 691753138*q**2 + 552194219*q wrt q. 1383506276 Find the second derivative of 3132*b**4 + 41*b**3 - 7*b**2 - 54744*b - 48 wrt b. 37584*b**2 + 246*b - 14 Find the second derivative of 270837123*j**3 - 83069306*j wrt j. 1625022738*j Differentiate -6639910*i**2 - 13503158. -13279820*i Find the third derivative of -7*p**4 + 396843*p**3 - 21*p**2 - 692020 wrt p. -168*p + 2381058 What is the third derivative of -5*n**3*t**4 + 2*n**3*t**2 + 3*n**3*t - 2*n**3 - 6*n**2*t + 470965*n*t**4 - 1098*n + 14*t**2 wrt t? -120*n**3*t + 11303160*n*t What is the third derivative of 57*b**3*p**3 + 818*b**3*p**2 + 2*b**2 - b*p**2 + 17599*p**6 + 75*p wrt p? 342*b**3 + 2111880*p**3 Find the third derivative of -232803509*t**4 - 1765450*t**2 - 29*t wrt t. -5587284216*t Differentiate 657*k*n - 689917*k + 75073027*n - 1 with respect to k. 657*n - 689917 Find the first derivative of k*y**2 + 66*k*y - 131418686*k - 33*y**2 + 260*y wrt y. 2*k*y + 66*k - 66*y + 260 What is the third derivative of -4*v**5 - 3519*v**4 + 69*v**3 - 447374*v**2 - v - 2 wrt v? -240*v**2 - 84456*v + 414 What is the derivative of 328*t**4*y - 33705*t**3*y + 15*y - 4949480 wrt t? 1312*t**3*y - 101115*t**2*y Find the third derivative of -58936*f**3*n**2 + 222*f**3*n + 47*f**2*n**2 + 110*f**2 - f*n + 102 wrt f. -353616*n**2 + 1332*n What is the first derivative of -3493*w**2 - 2853*w + 7974064 wrt w? -6986*w - 2853 What is the third derivative of 63*c*k**3*q**2 + 782770*c*k**3 + 83*c*k**2*q + 3*c*k**2 - 11*c*q**2 + 1305*k**2*q**2 wrt k? 378*c*q**2 + 4696620*c What is the derivative of -1487203*x**2 - x - 4461633 wrt x? -2974406*x - 1 What is the third derivative of -2013*c**5 + 13*c**4 - 20*c**3 + 6712788*c**2? -120780*c**2 + 312*c - 120 What is the third derivative of 150000*d**3*t**4 - 351*d**3*t + 2169*d*t**6 - 571838*d*t**2 wrt t? 3600000*d**3*t + 260280*d*t**3 What is the third derivative of -15607942*x**3 + 6*x**2 - 211*x - 3991 wrt x? -93647652 What is the third derivative of 40532933*m**3*t**3 + m**3*t + 2*m**3 + 54*m**2*t**2 - 4*m**2 + 8683*m*t**2 wrt t? 243197598*m**3 Find the second derivative of -97*q**4 - 2135*q**3 - 29*q**2 - 103727886*q. -1164*q**2 - 12810*q - 58 Find the second derivative of -10*a**5 - 781979*a**4 - 3159381*a + 7. -200*a**3 - 9383748*a**2 Differentiate -278517560*j**3 + 305467212 with respect to j. -835552680*j**2 What is the derivative of -127*c*d*x + 351*c*s*x + 19*c + d*s*x + d*s - 11*d*x - 5725*x wrt c? -127*d*x + 351*s*x + 19 What is the second derivative of 298528493*o**5 + 349636022*o wrt o? 5970569860*o**3 What is the second derivative of -24*v**3 + 5643*v**2 - 4056*v - 368 wrt v? -144*v + 11286 What is the third derivative of -10910326*n**3 - 3627980*n**2? -65461956 What is the second derivative of -1873306*l**3 - l**2 - 1653769*l wrt l? -11239836*l - 2 What is the derivative of -9256883*m + 5361 wrt m? -9256883 Differentiate -2*t**3 - 696481*t + 6764231 wrt t. -6*t**2 - 696481 What is the first derivative of -361*c**2 - 1370*c + 3022080 wrt c? -722*c - 1370 What is the derivative of -4*i**3 - 21381716*i - 26005813 wrt i? -12*i**2 - 21381716 What is the third derivative of -2151812*h**3 - 37431*h**2 + 19*h - 1 wrt h? -12910872 Differentiate -267259263*u + 550220887 with respect to u. -267259263 Differentiate -29236960*x**2 - x - 116630795 with respect to x. -58473920*x - 1 Differentiate -2440953*i**3*k**2*y - 360*i**3*k - i**2*k**2 + 10*i**2*k - 2*i*k**3 - 9*k**3*y - 4*k**3 - 287 wrt y. -2440953*i**3*k**2 - 9*k**3 What is the third derivative of -177092597*l**3*x + 298*l**2*x + 3*l**2 - 43*l*x + 23 wrt l? -1062555582*x Differentiate 24600*d*m**2*q + 3*d*m**2 + 10*d*q + m**2*q - 475*m**2 - 616*m + q wrt q. 24600*d*m**2 + 10*d + m**2 + 1 What is the second derivative of 34*h*m**2*n + 2*h*m*n + 3*h*m - 8*h*n + 239*m**2*n - 141*m**2 + 6*m - 1294*n wrt m? 68*h*n + 478*n - 282 What is the third derivative of -b**4*p - 20928*b**4 - 134*b**3*p + 11*b**2*p + 11*b**2 - 17*b*p + b - 20*p - 4 wrt b? -24*b*p - 502272*b - 804*p What is the second derivative of -1526352*h**2 + 5320*h + 4140? -3052704 Find the second derivative of -462148*z**5 - 11*z**2 - 34576344*z. -9242960*z**3 - 22 Differentiate 40*a**2*w - 20*a**2 + 72821*a*w - 66*a + w + 4827 wrt w. 40*a**2 + 72821*a + 1 What is the second derivative of -3040671*b**2 - 6874139*b? -6081342 Differentiate 65621*f*n**2*w - 772*f*n**2 + 2*f + 59*n**2*w - 2*n**2 - 225*n*w - 15*n + 1 with respect to f. 65621*n**2*w - 772*n**2 + 2 Find the second derivative of -25611280*t**2 + 59427299*t. -51222560 Find the third derivative of -2*u**5 + 1883*u**4 + 1399*u**3 - 905*u**2 + 3512 wrt u. -120*u**2 + 45192*u + 8394 Differentiate -257*n**2 - 13393*n*u**2 - 12130*u**2 + 5*u - 155 with respect to n. -514*n - 13393*u**2 What is the third derivative of 14*g**6 + 5*g**5 + 248*g**4 - 8787*g**2 - 125*g wrt g? 1680*g**3 + 300*g**2 + 5952*g What is the third derivative of -46174898*g**5 + 22332414*g**2? -2770493880*g**2 What is the second derivative of 104221162*l**2 - 158408295*l? 208442324 What is the third derivative of 38167*w**5 + 5795*w**3 + 4024*w**2 + 13233*w wrt w? 2290020*w**2 + 34770 What is the third derivative of -2705*p**5 - 301*p**3 + 165019*p**2 - 42*p? -162300*p**2 - 1806 Differentiate 3*n*s*w**2 + 3*n*s*w - 2*n*s - 21*n*t*w**3 + 2*n*w**3 - 5628*n*w**2 - 16916630*s*t*w - 2*s*w + w**3 with respect to t. -21*n*w**3 - 16916630*s*w What is the second derivative of -15*o**5 - 211*o**4 - 507*o**3 + 13654775*o + 3? -300*o**3 - 2532*o**2 - 3042*o Find the second derivative of 4*j*r**2 - 4*j*r - 85435*j + 1232487*r**2 + 25 wrt r. 8*j + 2464974 What is the third derivative of -159*p**6 - 1307*p**3 + 4*p**2 + 431*p - 2847? -19080*p**3 - 7842 Find the third derivative of -3062449*h**2*i**4 + 143*h**2*i + 4*h*i - i**4 + 11*i**2 + 8 wrt i. -73498776*h**2*i - 24*i Differentiate 4*b*j**3 - 6*b*j**2 - 3813*b*j + 41*b - 38548459*j**3 wrt b. 4*j**3 - 6*j**2 - 3813*j + 41 Find the second derivative of -159*r**5 - 8091*r**2 - 9*r + 467973 wrt r. -3180*r**3 - 16182 What is the derivative of -3419486*o**2 + 6228476? -6838972*o Differentiate -473*v*z**3 - 93*v*z**2 + 29653*v + 4*z**2 - 9 with respect to z. -1419*v*z**2 - 186*v*z + 8*z Find the second derivative of 3720604*n**2*u**2 + 223*n*u**2 - 52*n*u - 33*n wrt n. 7441208*u**2 Differentiate 19400970*o**4 - 17953170 wrt o. 77603880*o**3 Find the third derivative of -10885147*z**3 + 28*z**2 - 68477*z - 2 wrt z. -65310882 Find the second derivative of -2*m**5 - 4226698*m**4 + 17*m - 96982. -40*m**3 - 50720376*m**2 What is the second derivative of -2*k**2*x**3 - 2*k**2*x - 812975*k*x**4 - 13*k*x - 27*k + 2*x - 527 wrt x? -12*k**2*x - 9755700*k*x**2 Find the first derivative of -805549*t**2*w**3 - 175*t**2 + t*w**3 - 14339*t wrt w. -2416647*t**2*w**2 + 3*t*w**2 What is the second derivative of 220053*r**2*x**3 - r**2*x**2 - 12*r**2*x - r*x**3 + 4*r*x**2 + 17454*r*x + 82*r + 2*x**2 wrt r? 440106*x**3 - 2*x**2 - 24*x Find the first derivative of -452928235*h*i + 469986308*i wrt h. -452928235*i What is the third derivative of 78229603*s**3 - 113854583*s**2 wrt s? 469377618 Find the first derivative of -50366*q**2 + 74*q + 5568068. -100732*q + 74 Find the second derivative of -11399411*a*d**2*k**2 + 145113*a*d**2 - 9*a*k wrt k. -22798822*a*d**2 What is the third derivative of -2722405*b**3 - 11701*b**2 + 180? -16334430 Differentiate -1075*k*q*x + 189*k*q - 479*k + 2*q - 6480*x - 2 with respect to q. -1075*k*x + 189*k + 2 Find the third derivative of -148773003*h**5 - 301503741*h**2. -8926380180*h**2 Differentiate -7133527*m**2 - 4291448 wrt m. -14267054*m Find the second derivative of 1345606*w**5 + 4*w**3 + w**2 - 40150890*w wrt w. 26912120*w**3 + 24*w + 2 Find the third derivative of -2*f**3*g + 1848128*f**3 + 118*f**2*g - 2*f**2 - 66*f + 2*g - 3 wrt f. -12*g + 11088768 What is the derivative of 3*l*t*v**2 - 328*l*t*v - 148*l*t - 27*l*v - 384*l - 3*t + v**2 + 1 wrt t? 3*l*v**2 - 328*l*v - 148*l - 3 Find the first derivative of -53797821*w - 77852087 wrt
{ "pile_set_name": "DM Mathematics" }
termine r(x). 13 Let z(x) = -x + 6. Suppose -5*m + 4 = -3*g + 1, -m + 15 = 3*g. Let d(t) = -t**2 + 3*t + 2. Let b be d(g). Let f be (1 + b)/(6/(-30)). Give z(f). 1 Let n(o) = -o**3 + 4 - 19*o**2 - 73*o + 11*o**2 + 22*o + 24*o + 21*o. Let j be -2*(-1 + (-9)/(-2)). Determine n(j). -3 Let n(b) = 23*b - 8. Let s(o) = 50*o - 17. Let l(i) = 13*n(i) - 6*s(i). What is l(2)? -4 Let g(w) = -38*w - 36. Let u(y) = 11*y + 12. Let c(f) = -2*g(f) - 7*u(f). What is c(-6)? -6 Let w(l) = 4*l. Let q(d) = -d**2 - d - 1. Let c(r) = q(r) - w(r). Let f be (-106 + 105)/((-2)/(-12)). What is c(f)? -7 Let l(b) = 2 + 2*b + 4*b - 1 - 5*b. Let r be (18/(-1))/(3 - 4). Let m = 13 - r. Give l(m). -4 Let b(g) = -2*g**2 + 4*g**2 - 3 + 2 + 0. Let m = 26 - 25. Give b(m). 1 Let z(m) be the first derivative of m**6/120 - 2*m**5/15 + 7*m**4/24 - 5*m**3/3 - 19*m**2/2 - 16. Let q(t) be the second derivative of z(t). Calculate q(7). -10 Let d(z) = 19 + 147*z - 31 - 148*z. Calculate d(0). -12 Let a = -11 + 11. Let v be -4*(-1)/2*1. Let c(d) = 0*d - 3 + v + 2 + d. Determine c(a). 1 Suppose -3*d - 23 = -4*o, 10*o - 6*o + 7 = -3*d. Let r(b) be the first derivative of b**4/4 + 4*b**3/3 - 3*b**2/2 + 3*b + 2. What is r(d)? -7 Suppose -5*k = -4*k - 6. Let l be (0 + (-8)/(-12))*6. Let s(c) = 4*c - 3 + 1 - c**2 - l*c + 7*c. Determine s(k). 4 Let n(z) = 2 + 4*z - 1 + 0. Let h = -485 - -487. Give n(h). 9 Let r(d) = -2*d - 5. Let f(z) = -z - 3. Let k be 10/65 - (-186)/(-26). Let u(v) = k*f(v) + 5*r(v). What is u(-4)? 8 Let t(b) = -b - 5. Let l = 33 + -67. Let w = -29 - l. Give t(w). -10 Let l(k) = k**2 + 7*k - 1. Suppose 0*z + 89 = -5*w - 3*z, 4*w + 5*z + 66 = 0. Let s = w + 11. What is l(s)? 7 Suppose 26 = -o + 23. Let q(b) = b - 11. Let l(t) = -13*t + 31. Let x(s) = 3*s - 8. Let g(j) = 2*l(j) + 9*x(j). Let z(m) = o*q(m) + 4*g(m). Give z(0). -7 Let c = -7 - -8. Let j be (-3 - (-6 + 1))*3. Let x(k) = 8*k**2 + 1 - j*k**2 - k + k**2. Calculate x(c). 3 Suppose s = -5*l + 10 + 5, -3*s - 15 = -5*l. Let i(g) = -5*g**2 - 10*g - 3. Let a(z) = 17*z**2 + 35*z + 10. Let v(u) = -2*a(u) - 7*i(u). Give v(s). 1 Let j(d) = 13*d - d**2 - 12173 + 12173. Determine j(8). 40 Suppose 11*h - 25 = 6*h. Let o be (8/h)/(4/10). Suppose 0*g + g = 3*c - 3, o*g - 8 = 2*c. Let b(a) = 2*a**3 - 2*a**2 - 3*a + 2. Give b(c). 4 Let k(f) = -f**3 + 10*f**2 + f + 13. Let x = -58 - -68. Calculate k(x). 23 Let h(l) = -l - 1. Let u be 1 + (-1 - -1 - -14). Suppose 17*k - 6 = u*k. Suppose 4*x = 4*s, k*s = 4*x - 2 - 2. Give h(x). -5 Suppose 94 + 166 = -52*r. Let a(j) = -j**2 - 4*j + 11. Give a(r). 6 Let o(h) = -5 - 3*h + 4 + 0 + 0 + 2. Let q = 0 - -2. Determine o(q). -5 Let l(g) = 0*g - g**2 - 3*g + 34 + 0*g**2 - 33. Let n = -36 + 33. Determine l(n). 1 Let c(m) = m**2 - 6*m - 4 - 1 - 2*m**2. Let x(d) = d**2 - d. Let g(p) = -p**3 - 7*p - 5. Let j(v) = -g(v) + 2*x(v). Let w be j(-2). Calculate c(w). 0 Suppose -6*y + 44 = -34. Let d(j) = j - 19. Give d(y). -6 Let m(b) = 7*b + 0*b + 4*b + 2. Let q(l) = -1567*l - 279. Let a(d) = -783*d - 140. Let i(k) = 7*a(k) - 3*q(k). Let r(n) = 2*i(n) + 143*m(n). What is r(1)? 13 Let d(n) = 4*n**3 + 17*n**2 + 7*n - 7. Let b(w) = 3*w**3 + 14*w**2 + 7*w - 7. Let r(j) = 5*b(j) - 4*d(j). What is r(5)? -47 Let r(f) = -f**2 + 4*f - 3. Let g be (-3 - -1)*(-54)/36. Suppose 0 = u + a + 2, -2*u - g*u + 25 = -2*a. What is r(u)? 0 Let q(w) = -3*w + 7*w - 3*w. Let s(a) = 4*a - 7. Let z(k) = 23*k - 158. Let f be z(7). Let h(p) = f*q(p) - s(p). Give h(5). 2 Let f be (-3 + 0)/((-5)/(-5)). Let n(a) = -a**2 + 4*a + 3. Give n(f). -18 Let j(l) be the first derivative of l**3/3 + 3*l**2 + 4*l + 344. Give j(-8). 20 Suppose -2*m = -8 - 0, 3*m + 8 = 4*g. Let w(p) = 4*p - p**2 + g*p + 0*p**2 - 18 + 14. Give w(6). 14 Let n(r) = -r - 3. Suppose -3*p = -5 - 4. Suppose 0 = -5*w + 2*d + 8 + 3, 11 = 2*w - p*d. Let y be 5 + w*3/3. What is n(y)? -9 Let f(g) = -g**3 - 5*g**2 - 4*g - 7. Let i be f(-5). Let m be 37/i - 2/(-13). Let y be (2 + m)*(-4)/5. Let h(l) = -l**2 - 6*l - 1. What is h(y)? 7 Let b = -31 + 42. Let q(k) = -k - 10 - 1 - b + 5. Calculate q(-10). -7 Let q(r) = 9*r**3 - 13*r**2 - 13*r + 3. Let j(n) = 2*n**3 - n**2 - n + 1. Let l(u) = -5*j(u) + q(u). What is l(-7)? 5 Let z(a) = -a**2 - 10*a + 3. Let b be z(-7). Let n(w) = -14 + b*w**3 - 48*w**3 - w**2 + 23*w**3. Give n(0). -14 Let f(k) = 4*k - 3. Let h(c) = -c**3 + 6*c**2 - 7*c + 17. Let o be h(5). What is f(o)? 25 Let x(g) = -g - 3. Let o(y) = y**2 - 3*y + 8. Let w be o(6). Suppose w = -6*a + 188. Suppose 25*j = a*j. Calculate x(j). -3 Let u(w) = w. Let s(d) = -d + 6. Let x be s(-6). Suppose 12 = -h + 3*h + 4*m, m - x = -5*h. Suppose -h*k - 4 = -3*k. Determine u(k). 4 Let w be (-16)/(-6) - (-6)/(-9). Let r(h) = 3*h + 5*h + h**3 - 3*h - 6*h**2 - w. Suppose 10*b - 35 = 15. Determine r(b). -2 Let i(p) = -3*p - 23. Let f(n) = 4*n + 90. Let d be f(-24). What is i(d)? -5 Let o(h) = 2*h**2 + 13*h - 7. Suppose 0 = -29*j - 6*j - 245. Determine o(j). 0 Let i(u) = -1 - 8 + 3 - u + 3. Let j = -128 + 122. Determine i(j). 3 Suppose 30*g + 0*g - 150 = 0. Let l(t) = t**3 - 7*t**2 + 10*t + 6. Determine l(g). 6 Suppose 0 = -5*v - 3*z + 5, z - 9 = 2*v - 22. Let i be (-219)/(-6) - (-6)/v. Let a(g) = -3*g**2 + 40 + 7*g - i + g**2. Calculate a(5). -13 Let y(q) = -q**3 + 6*q**2 + 5*q + 7. Suppose -19 = -4*d - o, 55*d - 59*d = -3*o - 39. Calculate y(d). 37 Let r(v) = 12*v + 2*v**2 + 1 - 16*v**2 + 15*v**2. Calculate r(-12). 1 Let o(d) = -d**3 + 8*d**2 - 10*d - 4. Let m be o(4). Suppose 0 = -4*h + 2*q - m, 0 = -2*h - q - 0*q - 18. Let y(i) = -i**2 - 5*i + 8. What is y(h)? -6 Let u be (-7)/(28/12) - (-29 + 14). Let w(z) = -z**2 + 13*z. Determine w(u). 12 Let l(g) = -3*g. Let v(h) = 9*h - 2. Let u(o) = -5*l(o) - 2*v(o). Determine u(5). -11 Let b(j) = -7*j - 1. Let f be b(-1). Let s(v) be the first derivative of -v**3/3 + 4*v**2 - 7*v - 24. What is s(f)? 5 Let m(z) be the second derivative of z**3/6 - 3*z**2 + 2*z. Let r = -217 - -210. Give m(r). -13 Let d(r) = 9*r - 2. Let t(f) = 4*f - 1. Let z(n) = -2*d(n) + 5*t(n). Determine z(-10). -21 Let m(s) be the first derivative of -s**2/2 + 7*s - 8. What is m(7)? 0 Let g(w) be the second derivative of -w**4/12 + w**3/3 - 5*w**2/2 - w - 12. Give g(5). -20 Let x be 174/12 + (-1)/(-2). Suppose 18*n = x*n - 18. Let s(k) = -k**2 - 5*k + 2. Determine s(n). -4 Let v be (-18)/(-30) - (-236)/(-10). Let f = -20 - v. Let m(d) = -f*d**2 + d**3 - 14 + 0*d + 4*d + 11. Give m(2). 1 Let l = 96 - 101. Let c be 0 + (4 - (-40)/l). Let a(q) = -5*q - 1. Let m(s) = 4*s. Let z(h) = -5*a(h) - 6*m(h). Calculate z(c). 1 Let t(l) = 29*l**3 - 14*l**3 - 14*l**3 + 16*l**2 - 19*l - 23. Calculate t(-17). 11 Let d(l) be the first derivative of 0*l + 7 + 1/2*l**2 + 7/4*l**4 - 2/3*l**3. Determine d(1). 6 Let p(h) = h**2. Let g(t) = -5*t**2 + 5*t + 1. Suppose -4*i - 3*i - 21 = 0. Let k(s) = i*p(s) - g(s). Determine k(4). 11 Let v(t) = -5*t**2 + 1 + 10*t**2 + 2*t**3 - t**3. Let u(h) = -1 - 21*h**3 + h**2 + 1 + 15*h**3. Let g be u(1). Determine v(g). 1 Let i(x) = 5*x**2 + 7*x - 4. Let n(k) = k**2 - 3. Let f(r) = -i(r) + 4*n(r). Calculate f(-7). -8 Let z(m) = -11*m + m + 4*m + 2 + 10*m. What is z(-2)? -6 Let j(d) = 2*d - 10 - 7 + 8. Let i be j(7). Let b(g) = 6*g - 2. Let f(a) = -5*a + 1. Let v(w) = -4*b(w) - 5*f(w). Calculate v(i). 8 Let m(x) = -180 + 86 + 11*x**2 + x**3 + 96 - 9*x. What is m(-12)? -34 Let y(c) = -5 + c**3 + 7*c + 4*c**2 + 10 + c**2 + 2*c**2. Suppose -i + 9 + 6 = 4*l, 0 = -4*l - 5*i - 5. Let a = l + -11. Calculate y(a). -1 Suppose -k - 6 = -8. Let x(s) = -4*s + s + 3 + 8*s**k - 7*s**2 - s. Let z be x(4). Let m(t) = -3*t. Determine m(z). -9 Let z(v) be the first derivative of -v**4/4 - 3*v**3 + 3*v - 82. What is z(-9)? 3 Let c(h) = -h + 2. Let n = -31 - -31. Suppose 5*d - 3*d = j + 8, n = 4*j - 2*d + 20. Give c(j). 6 Suppose 0 = 6*h - 2*h - 16. Suppose x = -h*x. Let b(s) = s - 10. Calculate b(x). -10 Suppose 0*l + 6*l = 12. Let m be l - (-1 + 1 - -5). Let f(i) be the third derivative of -i**5/60 - 5*i**4/24 - i**3/2 - i**2. Determine f(m). 3 Let f(m) be the third derivative of -7*m**6/120 - 7*m**5/60 - m**4/24 + 3*m**3/2 - 21*m**2. Let n(s) = -s**3 - s**2 + 1. Let a(w) = f(w) - 6*n(w). Give a(0). 3 Let f(q) = 0 + 822*q + 2 - 818*q. Let d(a) = a + 2. Let l be d(0). What is f(l)? 10 L
{ "pile_set_name": "DM Mathematics" }
ss than or equal to c? False Let g = -26 + 22. Let d = g + 23. Which is smaller: d or 17? 17 Let p(z) = -z**3 - 5*z**2 - 8*z - 26. Let t be p(-6). Suppose -15*c + t = 13. Is 2 at least c? False Let i = -261.85 - -1.85. Which is smaller: i or 1/4? i Let p(x) = 2*x + 1. Let h be p(-9). Let c(z) = -z**2 - 18*z - 9. Let m be c(h). Is 9 greater than m? True Let y(j) = 5 - j + 7 - 6*j - 4. Let l be y(-7). Suppose -2*v = 4*n - 5*v - l, 4*n - 55 = 5*v. Which is greater: 16 or n? 16 Suppose 4 = 4*v, 0*h = -h + 5*v - 3. Suppose -3*i - h*i = 0. Suppose 4 = -4*m - i. Is -3/13 less than or equal to m? False Let o be (-4)/6 + 6 + -6. Let a = 3.97 + -0.27. Is o > a? False Let n = 1/342 + -745/20862. Which is greater: n or -1? n Let z be (1/((-118)/1))/((-6)/12). Let m = 3 + -2. Is m not equal to z? True Let w(g) = -2*g**2 + 15*g + 163. Let s be w(-6). Which is bigger: 1/1936 or s? s Let g = -8624/15 + 575. Let l(q) = q + 8. Let s be l(-9). Which is smaller: g or s? s Let r = 2992 + -2128. Let y be (r/220 + -4)*-5. Which is smaller: y or -2/7? -2/7 Suppose 0 = t - r - 7 + 14, -5*t = -r + 55. Let x(k) = -k - 14. Let u be x(t). Is -4 at most as big as u? True Let w = -14 - -16. Suppose 0 = -w*l + 14 + 6. Let y(p) = p**2 - 10*p - 3. Let d be y(l). Which is smaller: d or 0? d Let v be ((-2)/3)/((-2)/6). Let x be ((64/(-20))/(-8))/(32/(-50)). Which is bigger: v or x? v Suppose h + o + 26 = 0, 0 = -10*o + 15*o - 20. Is h <= -4? True Let p = -16 - 25. Let j = p + 43. Is j bigger than 0.09? True Let p = 122 + -124. Is p less than -2/167? True Let m be (-8)/(-20)*-1*-65. Let f = m - 23. Which is smaller: -3 or f? -3 Let l = -26 - -18.9. Let z = 0.1 + l. Let h = -3 - z. Which is bigger: h or -0.4? h Let w = 0.42 + -19.42. Let y = 39 + w. Let r = -27 + y. Which is smaller: -1 or r? r Let w(h) = -h + 5. Let c be w(5). Suppose c = 6*q - 2*q. Is 10/9 < q? False Let h(o) = 6*o + 8. Let j be h(-4). Let b = j - -19. Suppose 0 = -3*s + 5*c + 13, b*s + 4*c + 26 = -6. Is -2 > s? True Let t = -3045578/501 - -6079. Which is smaller: 0 or t? 0 Let g = 52 + -164. Let m = g - -115. Which is smaller: m or -6? -6 Suppose 435*s = 436*s - 97. Which is smaller: 96 or s? 96 Let m = 1.1 - 0.7. Let b = -2 - -1. Let z = b - -4. Which is smaller: m or z? m Let o = -149 - -148. Is -5/12 at least o? True Suppose 78 = 5*h + 2*a - 86, 3*a + 43 = h. Let o = -23 + h. Suppose -r - o = -10. Is 0 < r? False Suppose 3*v - 5*z - 70 = 0, -z = -3*v - 21 + 95. Suppose 3*x - 27 + 1 = h, -2*h = 5*x - v. Which is bigger: 6 or x? x Let g = 27.01 + -27. Let u = g + -0.11. Let w = 37/6 - 371/66. Do u and w have different values? True Suppose -4*f = -q - 134, -3*q - 20 = -4*f + 110. Suppose 1 - f = 3*t. Which is bigger: -2 or t? -2 Let o be (-12)/10*-240*(4 - -3). Let h = -3949/2 + o. Is h equal to 41? False Let c(y) = 4*y - 1104. Let h be c(64). Which is bigger: -849 or h? h Let j = 9831 + -344051/35. Is 0 < j? True Let k = -495 + 497. Which is smaller: k or 34.6? k Suppose 0 = -2*x - 6, 4*k + 0*k - 50 = 2*x. Let u be k/4 + 1/4. Suppose -d + 8 = 3*d. Which is smaller: u or d? d Let d = 83 + -85. Let r be 3 + d + -1 - (-11 - -1). Is r at least 7? True Let l be (6/(7 + -13))/462. Which is smaller: 1 or l? l Let i(n) = -n. Let o be i(12). Which is smaller: o or -5? o Suppose -3 - 6 = -3*k. Let m(d) be the first derivative of -d**4/4 + 3*d**3 - 7*d**2/2 - 5*d - 11. Let x be m(8). Is x at least as big as k? True Let q(c) = 3*c**3 + c**2 + 3*c - 4. Let r(i) = 13*i**3 + 6*i**2 + 12*i - 16. Let m(h) = -9*q(h) + 2*r(h). Let k be m(3). Which is greater: -22/5 or k? -22/5 Let s be 315/21*(-4)/10. Let y(d) = d + 1. Let w be y(-1). Suppose -f = 5 - w. Which is greater: s or f? f Let o = 2 - -7. Let n = -257.2 + 257. Which is greater: o or n? o Let y = 8617/16 - 539. Is 0 at most y? False Let m = -431188 - -19402534/45. Let d = -30104/5 - -6000. Let q = m - d. Is 0 at most as big as q? True Let k = -51 - 1. Let u = -48.3 - k. Which is greater: u or 0? u Let g(a) = a - 4. Let u be g(4). Let q be (-216)/(-52) + (-4)/26. Suppose q*c - 2*z - 6 = -0, 5*z + 8 = 3*c. Is u smaller than c? True Let k be (-10)/(-12)*(-3)/(-60). Let j(y) be the third derivative of -13*y**4/24 - 53*y**3/6 + 8*y**2. Let g be j(-4). Which is smaller: g or k? g Let t = 121 - 148.95. Let q = t + 28. Is q at most -4/3? False Let k(v) = 2*v - 3. Let p(y) = -3*y + 6. Let c(b) = 5*k(b) + 3*p(b). Let u be c(0). Are u and 5 nonequal? True Let d(k) be the first derivative of -7*k**2/2 - 2*k - 8. Let f be d(-4). Suppose -h - 3 = 2*i - 12, -3*i = 4*h - f. Which is bigger: i or 5? 5 Let d(p) = 2*p - 6*p + 5*p - 2. Let l be d(0). Let s be -6*(-3)/12*-2. Is l < s? False Let n be ((-55)/11 - -13) + 48. Which is bigger: n or 52? n Let t(b) = b**2 + 2*b - 9. Let u = -23 - -19. Let k be t(u). Is k at most -12? False Suppose -37*x - 4*k + 95 = -36*x, x - 98 = -5*k. Which is greater: x or 86? 86 Suppose 2*a + 2*c - 5 = 1, -5*c - 33 = -3*a. Suppose a*y = 1 - 7. Do 18 and y have the same value? False Let c(j) = -2*j**2 + 30*j + 4. Let r be c(15). Suppose -r*y - y = m - 32, 22 = 3*y + 2*m. Let s = -10 - -14. Does s = y? False Let k = 7370/19 - 388. Suppose 4*h = -3*b - 13 - 152, 0 = b + 5*h + 55. Let p be (b/10 + 5)*0. Which is smaller: p or k? k Suppose -2*x + 6 = -2*j - 46, -3*x = 2*j - 58. Suppose 6 = 4*y + x. Let h be y/(-14) + 40/(-56). Which is smaller: h or -1? -1 Let w = 1.816 + -0.216. Let l = -5 - -4. Let f = -2 - l. Do f and w have different values? True Let m(r) = -r**3 - 10*r**2 + 2*r + 10. Let x(s) = -s**2 - s. Let z(c) = -m(c) - x(c). Let h be z(-11). Let t be (4/5)/(h/5). Is 3 greater than or equal to t? False Let u(o) = o**2 + 6*o + 1. Let q be u(-6). Let x = -16/105 - -1468/1365. Which is bigger: x or q? q Let k = -273 - -270. Is 1/41 bigger than k? True Let f = 207 + -577. Is f smaller than 0.1? True Let z = -2/51 - 292/357. Which is bigger: -1 or z? z Let t be 420/9*(-18)/15. Which is smaller: t or -55? t Suppose -z + 5*z = 64. Let u = z + 16. Let v be (4/u - 2) + 2. Which is smaller: 2/3 or v? v Let a be 3/2 - 3/6. Suppose -5*g + 37 = -j + 5*j, 28 = j + 5*g. Let m be 3/j + 35/(-45). Which is smaller: a or m? m Suppose 7*c - 2*c - 269 = 4*d, -4*c + 5*d = -208. Let r = 68 - c. Is r at least as big as 31/3? True Let s = 18590 - 18590.14. Let o = -6 - -4. Which is smaller: o or s? o Let x(f) = f**3 - 4*f**2 + 4. Let h be x(4). Suppose 6*q - h*q = 6. Suppose q*r + 1 = 2*l, -2*l = -4*l + 10. Is 2 greater than or equal to r? False Let o = 127 + -141. Which is smaller: o or 4? o Let p = 4 + 0. Suppose 0 = 4*n + p*k + 692, 5*k - 885 = 7*n - 2*n. Let t be (-1 - 1) + (-364)/n. Which is smaller: -1 or t? -1 Let f(t) = -4*t**2. Let z be f(-1). Let q be (z/(-76)*-2)/1. Which is greater: -1 or q? q Suppose 0 = -6*f - 5*f. Suppose f = 7*w - 0. Let z be 200/(-152) - (1 + -2). Is z != w? True Let g = 0.2 - -9.6. Let s = g + -9. Let a = s - 1.1. Which is smaller: a or 4? a Suppose 3*h + 58*q = 56*q - 52, -3*h + 5*q = 80. Let p = -56 - -34. Is h less than or equal to p? False Let j = 12 - 9. Let t be 24 + (-20)/(-15)*j. Let c = t - 27. Which is bigger: c or -3? c Let j be (-3)/(-11)*(-33)/(-3). Which is greater: 20/7 or j? j Suppose -2*u + 25 = 5*q, -u - 10 = -13*q + 8*q. Which is bigger: -183 or q? q Let c = -2591/2821 - 1/217. Let o be (0 + 0)/(6/3). Is c less than or equal to o? True Let z = -40 + 30. Suppose -x - 2 = 8. Is z > x? False Suppose 0 = -2*h + 2 - 12. Let w be -1*2*(6 + h). Let j be ((-2)/6)/((-1)/w). Which is bigger: j or -0.2? -0.2 Let s be (0 + (-4)/6)*(-9)/(-102). Which is bigger: s or -1? s Let j(u) = u + 1. Let d be j(-11). Let t(z) = z**2 + 10*z + 8. Let k be t(d). Which is smaller: -0.2 or k? -0.2 Let g = 3/3329 + 9489/552614. Let m = g + -709/2490. Which is bigger: m or 0? 0 Let f = 16 + -14. Suppose 0 = f*u + 4 - 2. Let n be (-32)/(-110) + u/5. Which is greater: n or -1? n Let i be 2/13 - 193/(-13). Let d be -2 + (-1)/(-3)*i. Is d >= 3? True Let u = -10 + 20. Let b(m) = -m**2 + 13*m - 31. Let i be b(7). Which is smaller: u or i? u Let u(y) = 10*y + 123. Let g be u(-12). Which is greater: 7 or g? 7 Let b = 13 + -33. Is b greater than -21? True Suppose 14 = 2*f - 4*s, -5*f + f = 2*s + 2. Which is greater: f or -0.309? f Let s = 7 + 3. Let t be 2/s + 1
{ "pile_set_name": "DM Mathematics" }
4) + sqrt(100)) + -3*sqrt(16) + sqrt(4)). 9*sqrt(3)/13 Simplify (sqrt(375) - -1*sqrt(375) - sqrt(375) - -2*sqrt(735))/((sqrt(75) - sqrt(3))*4 - (sqrt(3) + sqrt(75)*5)). -19*sqrt(5)/10 Simplify 3*(-3 + sqrt(6)/(sqrt(242)*1))**2. -18*sqrt(3)/11 + 3276/121 Simplify -1 + (-4 + (sqrt(833) + 0)*-6 + (sqrt(833) - 3*(sqrt(833) + -1)) + sqrt(833))**2. 98*sqrt(17) + 40817 Simplify (sqrt(160)/sqrt(4)*-4 - (sqrt(3240) + (sqrt(3240) - -1*sqrt(3240))))/(3*sqrt(648)*4 - sqrt(648)). -31*sqrt(5)/99 Simplify (-1 + sqrt(567) + 2 + (0 + sqrt(567) - sqrt(567)) + 4 - (-3 + 4*sqrt(567) + 2))**2. -324*sqrt(7) + 5139 Simplify 1*((sqrt(76) + 3 + 1*sqrt(76) + 1*-2*sqrt(76))*1)**2. 9 Simplify (sqrt(63) + (sqrt(252) + sqrt(252) + sqrt(252)*2)/sqrt(4))/((sqrt(99) + sqrt(99)*2 + sqrt(99))/sqrt(11)) + (4 + sqrt(7)*2 + -1 + -1)**2. 37*sqrt(7)/4 + 32 Simplify (4 + (1*sqrt(48)/sqrt(2))/(2*sqrt(968) - sqrt(968)) + -2)**2. 4*sqrt(3)/11 + 487/121 Simplify (sqrt(12) + sqrt(48))/sqrt(6) - -4*sqrt(6)/sqrt(3) - (-3 + 4*sqrt(2) + 4). -1 + 3*sqrt(2) Simplify (sqrt(153) + (sqrt(153) + 2*sqrt(153))*6 - (sqrt(153)*1*3 + sqrt(153)))/((-1*sqrt(441) - sqrt(441))*-1 - sqrt(441)). 15*sqrt(17)/7 Simplify (1 + 5 + -5 + 2*2*sqrt(891))**2. 72*sqrt(11) + 14257 Simplify 1 + -4*(sqrt(1872) + 1)**2 + sqrt(1872) + -3 + -1 + -1 + sqrt(1872). -7496 - 72*sqrt(13) Simplify (1*sqrt(117)*1 - (3 + sqrt(117)*-1)) + ((6*(sqrt(156) + sqrt(156)*1))/sqrt(12)*-6)**2. 6*sqrt(13) + 67389 Simplify -1 + ((sqrt(11) + 0)*-6 + -3 - (sqrt(132) + (sqrt(132) + 4*2*sqrt(132) - sqrt(132)))/sqrt(12))**2. 90*sqrt(11) + 2483 Simplify (-3 + sqrt(432) + 2 + -2*(sqrt(432)*2)**2 + 1)*4. -13824 + 48*sqrt(3) Simplify (sqrt(49)/(sqrt(112)*1 - sqrt(7)))**2 + (1 + sqrt(7))*-1 + 5 + 2. -sqrt(7) + 61/9 Simplify (4*sqrt(120)/sqrt(3) + (sqrt(1440) - -2*sqrt(1440) - sqrt(1440)))/(3*sqrt(512)*-3). -2*sqrt(5)/9 Simplify sqrt(171)/(2*sqrt(9)) - (-2 + sqrt(76))**2 - (sqrt(38) - (sqrt(38) - (sqrt(342)*-3 + sqrt(38))))/sqrt(2). -80 + 33*sqrt(19)/2 Simplify (sqrt(20) - (sqrt(20) - (sqrt(20) - 2*sqrt(20))))**2 + (sqrt(5) + (sqrt(5) - (sqrt(360)/sqrt(8))/sqrt(9)))**2 + 4. 29 Simplify 5*-5*((sqrt(130) + (sqrt(130) - (sqrt(130) + sqrt(130) + -2*sqrt(130) + sqrt(130))))*1 - sqrt(130))/(sqrt(10) + sqrt(360)*3). 0 Simplify ((sqrt(11) + (sqrt(11)*-2 + -1)**2)*5 - (sqrt(176) - (1 + sqrt(176) + sqrt(176) + 1*sqrt(176))**2)) + 3. 45*sqrt(11) + 1813 Simplify -4*(1 + 0 + (sqrt(6)/sqrt(2))**2 - (-1 + (sqrt(3) - (sqrt(15)/sqrt(5) + -3))**2)). 16 Simplify ((6*1*sqrt(77) + sqrt(77))*-6)/(2*sqrt(1584)*-1 + sqrt(1584)). 7*sqrt(7)/2 Simplify (-2*sqrt(196)/sqrt(4))/(sqrt(1008) + -2*sqrt(1008) - sqrt(7)) + -2. -2 + 2*sqrt(7)/13 Simplify (0 + sqrt(5))**2*-2 + -6*sqrt(15)/sqrt(3) - 1*sqrt(125)*2. -16*sqrt(5) - 10 Simplify (-3 + ((sqrt(52) + 2)*-6 - sqrt(52)) + sqrt(1872) + -1*sqrt(1872)*-4)**2. -1380*sqrt(13) + 27733 Simplify (2 + (-1*sqrt(130))/sqrt(10) - (-4 + sqrt(91)/sqrt(7) + 1)) + 1. -2*sqrt(13) + 6 Simplify (-3 + 0 + -1*2*sqrt(125)*5)**2. 300*sqrt(5) + 12509 Simplify (sqrt(228) + -4*-1*sqrt(228) + sqrt(228))/((sqrt(72) - (sqrt(72)*-2 + sqrt(72)))/sqrt(6)) - 5*(sqrt(2299) + 0 + 0). -52*sqrt(19) Simplify (6*-1*sqrt(832)*-5)**2 + 1. 748801 Simplify (-3*sqrt(2057)*-1 - (-3*sqrt(2057)*2 + sqrt(2057)))**2. 131648 Simplify 5 + (sqrt(1872) - sqrt(1872)*2) - (2*sqrt(1872)*6 - sqrt(1872)). -144*sqrt(13) + 5 Simplify (-4 + (sqrt(152)/((2*sqrt(72) - sqrt(72))/sqrt(9)) - (-2 + sqrt(19) + -1 + -1)))**2. 0 Simplify 5 + 1*((sqrt(77) + (5*-1*sqrt(77) - sqrt(77)))/((sqrt(110) + sqrt(110)*-4)/sqrt(10) - sqrt(11)))**2. 255/16 Simplify ((sqrt(70) + -4*(sqrt(70)*2 + sqrt(70)) - sqrt(70)) + -3*((sqrt(70) - sqrt(70)*1) + sqrt(70) - sqrt(70)))/(6*sqrt(640)*3). -sqrt(7)/12 Simplify (-2 + sqrt(833) + 1 + (sqrt(153) + (sqrt(153) - 1*sqrt(153) - sqrt(153) - sqrt(153) - sqrt(153))*-4)**2)*-3. -77568 - 21*sqrt(17) Simplify 3*((sqrt(187)*-2*6)/(sqrt(539)*2 - sqrt(11)))**2. 7344/169 Simplify (-1 + (5*-2*sqrt(21) + sqrt(21))/(sqrt(14)/sqrt(8)))*-6. 6 + 108*sqrt(3) Simplify 0 + ((4*(1 + sqrt(98)) + sqrt(98))**2 - (sqrt(2) - sqrt(4)/(1*sqrt(2)) - sqrt(6)/sqrt(3)*6)). 286*sqrt(2) + 2466 Simplify -6*-3*-3*(sqrt(3) + -1 + sqrt(3) - sqrt(3))*6. -324*sqrt(3) + 324 Simplify (3 + -2*sqrt(11)*2 + (sqrt(77)*-1 - sqrt(77))/sqrt(7) + (sqrt(88)*-2*1 - sqrt(88))/sqrt(8))**2. -54*sqrt(11) + 900 Simplify (-4*(1 + sqrt(252) - (sqrt(7) + sqrt(7) + -2)*3) + 2)**2. 676 Simplify (0 + (sqrt(220)/sqrt(250))/(sqrt(4)/sqrt(2)*6))*-1. -sqrt(11)/30 Simplify ((-3 + 0 + sqrt(72) + 5)*1)**2. 24*sqrt(2) + 76 Simplify -4 + (sqrt(704) + 0)*4 + 0 + (-1*sqrt(110))/sqrt(10). -4 + 31*sqrt(11) Simplify (-2 + 4*(sqrt(343) + 1) + 4 + sqrt(343)*-5)*-6. -36 + 42*sqrt(7) Simplify (sqrt(90)/sqrt(144))/(sqrt(2) + sqrt(2) + (sqrt(70)/sqrt(5))/sqrt(7)) + -2 + -5. -7 + sqrt(5)/12 Simplify (-1*sqrt(12)/(sqrt(72)/(sqrt(24)/sqrt(2)))*2*4 + 0)**2. 128 Simplify (((sqrt(187) - -3*(sqrt(187) + -3*sqrt(187))) + sqrt(187))*1)/(1*sqrt(44)*-6). sqrt(17)/3 Simplify -4*(sqrt(450)*-2 + -4 + sqrt(450) - (sqrt(450) + -4*(-1 + sqrt(450))))**2. -7456 + 1920*sqrt(2) Simplify (sqrt(684) + 1)**2 + (sqrt(304) + -2 + sqrt(19))**2 + 2*(-1 + sqrt(76)). -4*sqrt(19) + 1162 Simplify ((sqrt(77)/(sqrt(21)/sqrt(3)))**2 + -1 - (sqrt(11) + sqrt(110)/(sqrt(10)*-2) + -2))*-1. -12 + sqrt(11)/2 Simplify (-4*(-1 + sqrt(720) + 1*sqrt(720) + -1))**2. -1536*sqrt(5) + 46144 Simplify (((sqrt(100)*1*-5)/sqrt(10))/(-5*(sqrt(18) + (sqrt(18)*1 - sqrt(18)))/sqrt(9)))**2. 5 Simplify (3*(2 + (4 + (-1 + sqrt(1331) + sqrt(1331))*-4)*6))**2. -475200*sqrt(11) + 27622116 Simplify 4 + (-3 + sqrt(832) + -1)**2 + -1 + (5*(2 + sqrt(832)))**2. 736*sqrt(13) + 21751 Simplify (((-2*sqrt(121))/sqrt(11) - (sqrt(891)*2 + sqrt(891))) + (-1*sqrt(275) - sqrt(275)) + sqrt(275) + sqrt(275) + 0 + (sqrt(22)/sqrt(2) - sqrt(11)))**2. 9251 Simplify (0 + ((sqrt(88)/sqrt(2) + sqrt(44))*-3)/((sqrt(96)/sqrt(4))/sqrt(6)))*5. -30*sqrt(11) Simplify (3 + 5*(sqrt(98) + 0 + sqrt(98)) + 6*3*sqrt(98)*-2)**2. -1092*sqrt(2) + 66257 Simplify (-5*2*sqrt(315) - sqrt(315))/(sqrt(40)/(sqrt(8)*-1))*3. 99*sqrt(7) Simplify (-3 + -6*(sqrt(405)*-1*-3 + 5))**2. 10692*sqrt(5) + 132309 Simplify (1*(sqrt(132) + 3*sqrt(132) + sqrt(132)))/(sqrt(192) - (sqrt(192) + 2*sqrt(192))). -5*sqrt(11)/8 Simplify (1 + 4 + -3 + (sqrt(5) - 2*sqrt(5)) + 0)**2. -4*sqrt(5) + 9 Simplify ((sqrt(18) - (sqrt(18) + sqrt(36)/sqrt(2))*-5)*-6)/(-5*(sqrt(252)/sqrt(4))/sqrt(7)). 66*sqrt(2)/5 Simplify (0 + 1 + sqrt(204)/(sqrt(192) + sqrt(12)))*-2*1. -2 - 2*sqrt(17)/5 Simplify ((sqrt(2057)*2 + 3 - (sqrt(2057) + 2 + 3 + sqrt(2057))) + (-3 + sqrt(2057) + 1 - sqrt(2057))*3)**2. 64 Simplify (sqrt(650)*5 + -2*sqrt(104))/(-2*sqrt(162) - ((sqrt(10)/(sqrt(5)*1) - sqrt(2) - sqrt(2)) + sqrt(2))). -7*sqrt(13)/6 Simplify (sqrt(448) - (0 + sqrt(448) + 4 + sqrt(448)))**2 - (-1 + sqrt(448)*-1 + sqrt(448)). 64*sqrt(7) + 465 Simplify (sqrt(19)*-1*-1 + (2*sqrt(76) + sqrt(76))/sqrt(4) - (sqrt(475) + 2*(sqrt(475) + (2*sqrt(475) - sqrt(475) - sqrt(475)))))**2. 2299 Simplify (sqrt(68)/(sqrt(24)/sqrt(6)) - (sqrt(204)/sqrt(300) + sqrt(17))**2) + (1*(-2 + sqrt(17)) - (2 + sqrt(102)/sqrt(6))). -712/25 + sqrt(17) Simplify -3 + sqrt(252) + 1 + 4 + 0 + ((sqrt(1008) + 0)**2 - sqrt(1008)) + 2*sqrt(7) + -5. -4*sqrt(7) + 1005 Simplify (sqrt(119) + (-3*sqrt(119)*-5 - sqrt(119)))/(-2*sqrt(7)*4). -15*sqrt(17)/8 Simplify 1*(1*(-1 + sqrt(931)) + sqrt(931) + (sqrt(931) + -1)*-6) + 0. -28*sqrt(19) + 5 Simplify (-1 + (sqrt(99) + (-1 + sqrt(99))*-6)*5)**2. -4350*sqrt(11) + 62716 Simplify (0 + sqrt(5) + (sqrt(720) + sqrt(720) + -3 + sqrt(720) - sqrt(720)))**2 + sqrt(15)/(sqrt(27)/(sqrt(9)*-1)). -151*sqrt(5) + 3134 Simplify ((1 + (sqrt(1331)*3 + -5)*2)*1)**2 + -2. -1188*sqrt(11) + 47995 Simplify (-5*(3 + (sqrt(1539) - sqrt(1539)*-1*4))*-5 + -3)**2. 162000*sqrt(19) + 24052059 Simplify (-4 + (-4*(sqrt(68) + 1*sqrt(68) + sqrt(68)))/(sqrt(324)*1 + sqrt(324)))**2. 16*sqrt(17)/3 + 212/9 Simplify -4*((2 + -2 + (-4*sqrt(539) - sqrt(539)))**2 + -4). -53884 Simplify -3*((0 + sqrt(325))**2 + 2)*2 + 5. -1957 Simplify 1 + ((-1 + sqrt(80))*4 + sqrt(80) - -2*(sqrt(80) + 2 + sqrt(80) - sqrt(80)))**2. 3921 Simplify (sqrt(42)/sqrt(2)*5 - (sqrt(21) - 5*sqrt(42)/sqrt(2)))/(sqrt(9)/(sqrt(21)/sqrt(175))). 9*sqrt(7)/5 Simplify -1 + (sqrt(1088
{ "pile_set_name": "DM Mathematics" }
igit of 259437? 2 What is the units digit of 43496? 6 What is the ten thousands digit of 105927? 0 What is the hundreds digit of 9510447? 4 What is the hundred thousands digit of 8212673? 2 What is the hundreds digit of 1475516? 5 What is the hundreds digit of 159950? 9 What is the thousands digit of 197444? 7 What is the hundred thousands digit of 171739? 1 What is the thousands digit of 2899949? 9 What is the ten thousands digit of 227825? 2 What is the ten thousands digit of 380895? 8 What is the units digit of 668671? 1 What is the ten thousands digit of 18292243? 9 What is the hundred thousands digit of 1529314? 5 What is the ten thousands digit of 175258? 7 What is the ten thousands digit of 8989661? 8 What is the hundred thousands digit of 1230632? 2 What is the hundreds digit of 1914442? 4 What is the thousands digit of 7623? 7 What is the millions digit of 4384253? 4 What is the hundred thousands digit of 742275? 7 What is the hundred thousands digit of 222615? 2 What is the thousands digit of 2244110? 4 What is the hundreds digit of 10870207? 2 What is the thousands digit of 253143? 3 What is the hundreds digit of 17142524? 5 What is the tens digit of 3920126? 2 What is the hundreds digit of 6146805? 8 What is the units digit of 10347052? 2 What is the units digit of 38206? 6 What is the thousands digit of 389651? 9 What is the units digit of 21518209? 9 What is the tens digit of 1206176? 7 What is the units digit of 281763? 3 What is the units digit of 20678293? 3 What is the hundred thousands digit of 1112201? 1 What is the ten thousands digit of 472779? 7 What is the tens digit of 9959942? 4 What is the ten thousands digit of 9845022? 4 What is the units digit of 61825? 5 What is the hundred thousands digit of 19189695? 1 What is the hundreds digit of 319605? 6 What is the hundreds digit of 395470? 4 What is the units digit of 3106294? 4 What is the hundred thousands digit of 9528142? 5 What is the tens digit of 3839804? 0 What is the thousands digit of 231444? 1 What is the thousands digit of 26096086? 6 What is the tens digit of 4978506? 0 What is the thousands digit of 6662010? 2 What is the ten thousands digit of 404660? 0 What is the ten thousands digit of 73510? 7 What is the ten thousands digit of 4121649? 2 What is the ten thousands digit of 202305? 0 What is the hundreds digit of 2593820? 8 What is the thousands digit of 1848805? 8 What is the ten thousands digit of 5772371? 7 What is the hundreds digit of 1732296? 2 What is the tens digit of 2750944? 4 What is the hundreds digit of 20455406? 4 What is the thousands digit of 17229708? 9 What is the millions digit of 25848472? 5 What is the ten thousands digit of 149968? 4 What is the units digit of 7023837? 7 What is the thousands digit of 131195? 1 What is the units digit of 2348275? 5 What is the units digit of 1404934? 4 What is the hundred thousands digit of 15579681? 5 What is the hundreds digit of 1028971? 9 What is the units digit of 7293884? 4 What is the ten thousands digit of 26223780? 2 What is the tens digit of 1303627? 2 What is the thousands digit of 2445182? 5 What is the thousands digit of 38003? 8 What is the ten thousands digit of 3225040? 2 What is the units digit of 479336? 6 What is the hundreds digit of 21547? 5 What is the tens digit of 721187? 8 What is the thousands digit of 3905980? 5 What is the millions digit of 10818078? 0 What is the thousands digit of 178151? 8 What is the hundreds digit of 559462? 4 What is the thousands digit of 1629538? 9 What is the units digit of 1602422? 2 What is the hundreds digit of 4130069? 0 What is the tens digit of 263742? 4 What is the tens digit of 9639457? 5 What is the units digit of 346029? 9 What is the hundreds digit of 53050? 0 What is the ten thousands digit of 2264013? 6 What is the tens digit of 31125853? 5 What is the units digit of 456171? 1 What is the hundreds digit of 209859? 8 What is the units digit of 917739? 9 What is the ten thousands digit of 12705469? 0 What is the thousands digit of 1798191? 8 What is the thousands digit of 186015? 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7 What is the units digit of 1587443? 3 What is the thousands digit of 2154327? 4 What is the tens digit of 55860? 6 What is the tens digit of 175856? 5 What is the hundred thousands digit of 5499557? 4 What is the tens digit of 2794217? 1 What is the millions digit of 5385130? 5 What is the tens digit of 209735? 3 What is the tens digit of 27384161? 6 What is the tens digit of 959117? 1 What is the thousands digit of 430303? 0 What is the millions digit of 5913173? 5 What is the hundreds digit of 3471360? 3 What is the hundreds digit of 209438? 4 What is the tens digit of 190912? 1 What is the ten millions digit of 14163274? 1 What is the ten thousands digit of 975990? 7 What is the ten thousands digit of 3428823? 2 What is the ten thousands digit of 187052? 8 What is the hundreds digit of 217976? 9 What is the thousands digit of 694670? 4 What is the thousands digit of 656175? 6 What is the thousands digit of 7441958? 1 What is the thousands digit of 17328055? 8 What is the millions digit of 15057941? 5 What is the thousands digit of 14445? 4
{ "pile_set_name": "DM Mathematics" }
e. i**(-12) Simplify (t*t**0*t)**(-1/2)/(t**(4/7)/t**5) assuming t is positive. t**(24/7) Simplify (((w**0*w*w)/w)/w*w/(w*(((w*w**(-1/8))/w*w)/w)/w*w*w)*w*w*w)/(w**(-2/7)/w*w**(1/6)) assuming w is positive. w**(545/168) Simplify (g/(g/(g*g**(4/7))))**31 assuming g is positive. g**(341/7) Simplify ((x**(-1/4)*x)/x*x)**33/(x**1/x)**24 assuming x is positive. x**(99/4) Simplify (w**6/w*w)**(-20) assuming w is positive. w**(-120) Simplify ((u*u**(-2))/u)**(1/11)/(u*u*u*u**0)**(-42) assuming u is positive. u**(1384/11) Simplify (f**(-1)/(f*f**7*f))**(-50) assuming f is positive. f**500 Simplify (j**(2/13)/(j/(j/(j/j**(-1/5)))))**(17/3) assuming j is positive. j**(-1156/195) Simplify ((z*z*(z/(z*z/(z**(2/7)/z*z)))/z*z)/z**(-2))/(z/((z/(z/((z/((z**(1/2)/z)/z))/z*z)))/z)*z**(2/9)) assuming z is positive. z**(449/126) Simplify y**(7/4)/y*y/(y*(y*y/y**8*y)/y)*y*y/y**(2/7)*y**(-4/9) assuming y is positive. y**(2021/252) Simplify (a**(-1/4))**(-3) assuming a is positive. a**(3/4) Simplify j*j**(-9)*j*j**4/j assuming j is positive. j**(-4) Simplify ((i**15/i)/i)/(i**2/i) assuming i is positive. i**12 Simplify ((u*u**(-6)*u)/u*u/(u/(((u/(u/(u**(2/9)/u)))/u)/u)*u*u))**10 assuming u is positive. u**(-880/9) Simplify j/(j**(-11)/j*j)*j*j**(-9/4)*j*j*j*j assuming j is positive. j**(59/4) Simplify (x**0)**(-1/10) assuming x is positive. 1 Simplify j**17*j/((j**(-1/31)/j*j)/j) assuming j is positive. j**(590/31) Simplify (f**0/f)**(-42) assuming f is positive. f**42 Simplify (i**(2/27))**(-36) assuming i is positive. i**(-8/3) Simplify (k*k/(k**(-1)/k))**6/(k/k**(-5)*k**(-7/2)) assuming k is positive. k**(43/2) Simplify p/p**(2/3)*p*p**4*(p**(1/4)*p)**(-5/2) assuming p is positive. p**(53/24) Simplify (((v/(v*v/(v/(v**(-4)/v)*v)*v))/v)**(-2/15))**(-5/6) assuming v is positive. v**(4/9) Simplify (x**(-10)/x**(-1/5))/((x*x/(x/(x/x**(-4)*x)*x))/x*x*x**(2/23)) assuming x is positive. x**(-1827/115) Simplify (c**(-4)/c)/(c**(-7)*c*c)*(c**8/c)/(c/((c**(1/9)*c)/c*c)) assuming c is positive. c**(64/9) Simplify (((((r/(r*r/((r**(1/4)/r)/r))*r)/r)/r*r)/r)/r)/(r**(-1/3)/r)*(r*r/(((r*r**(-3/5))/r)/r*r))/r*r*r**(-2) assuming r is positive. r**(-169/60) Simplify j**12*j*j**(4/5)*j*j assuming j is positive. j**(79/5) Simplify (v*v/((v*v/v**(-1))/v))**(-11/5)*v*v**(-6)/v*v**(2/7) assuming v is positive. v**(-40/7) Simplify (c/(c/(c/(c**9/c)))*c)**11 assuming c is positive. c**(-66) Simplify l*l**(3/7)*l*l**(2/9)*l assuming l is positive. l**(230/63) Simplify (m**(-2)*m)/(m*m/m**(-5/6))*m/m**(-1/3)*m*m**3 assuming m is positive. m**(3/2) Simplify (n/(n**(2/9)*n))**(-23/2)*(n/(n/(n*n*n*n*n*n**(1/5)*n)))**46 assuming n is positive. n**(12949/45) Simplify (a/((a**3/a*a)/a*a)*a)/a*a**9*(a**(3/4)/a*a)/a*a**8*a assuming a is positive. a**(63/4) Simplify (f**(-6)/((f**(2/15)/f)/f))/((f*f/f**(-3/5)*f*f)/f**(-4)) assuming f is positive. f**(-191/15) Simplify (b/((b/(b**(3/5)*b))/b*b)*b*b**(-5)*b*b*b)/(b*b*(b**(1/6)*b)/b*b**3/b) assuming b is positive. b**(-107/30) Simplify y*y**(-4/17)*y*y/y**12 assuming y is positive. y**(-157/17) Simplify (n**(-1))**(-46)/(n/((n/n**(-2))/n))**(7/4) assuming n is positive. n**(191/4) Simplify ((a*a*a/((a/a**(-2/7))/a*a))/(a*a**(-6)))**(-2/25) assuming a is positive. a**(-94/175) Simplify (m**(1/3))**39 assuming m is positive. m**13 Simplify (h**7/((h/h**(2/17))/h*h))/(h**(2/11)/h**(-5/4)) assuming h is positive. h**(3505/748) Simplify (u/((u/(u*u/(u*u/(u/u**(-1/5)))*u)*u)/u))/u**(9/5) assuming u is positive. u**(2/5) Simplify (c/(((c*c*c*c**(-7/5)*c)/c)/c)*c*(c*c/(c**7/c))/c)**4 assuming c is positive. c**(-72/5) Simplify ((x/((x*x**(22/5)*x)/x*x))/x)/(x*x**(14/3)) assuming x is positive. x**(-181/15) Simplify (t*t**(2/11))**(-6/19)/(t**(-2))**(-2/27) assuming t is positive. t**(-2942/5643) Simplify (w*w**16)**(39/5) assuming w is positive. w**(663/5) Simplify n**(-3)*n**(-7/2) assuming n is positive. n**(-13/2) Simplify i**(-21)/i*i*i**9 assuming i is positive. i**(-12) Simplify (s/(s/(s/(((s**0*s*s)/s)/s)*s)*s))**(-31)/(s**4*s*s*s/(s**(-3)*s)*s) assuming s is positive. s**(-41) Simplify ((b/(b*b**(2/29)/b))/((((b/b**2)/b)/b)/b*b))**(3/5) assuming b is positive. b**(342/145) Simplify ((n**9*n)/(n**(-3)/n))/(n**0)**(-19) assuming n is positive. n**14 Simplify ((b/(b/b**(-2)))/(((b/(b**(-8)*b))/b)/b))**(4/35) assuming b is positive. b**(-32/35) Simplify (v**(2/3))**(3/5)/(v**(-2)*v*v**(-1)) assuming v is positive. v**(12/5) Simplify (p**0)**(-49)/((p*p**(-6)/p)/(p*p/p**(-10))) assuming p is positive. p**18 Simplify (y**(-7)*y)**(-11/2) assuming y is positive. y**33 Simplify ((g*g*g**(-1/11))**(-6/23))**44 assuming g is positive. g**(-504/23) Simplify (y*y**(-2))/(y*y**(-13)) assuming y is positive. y**11 Simplify (t/(t**(-4)/t*t))**(1/8) assuming t is positive. t**(5/8) Simplify (p**1)**(2/83) assuming p is positive. p**(2/83) Simplify ((l/(l/(l*l/((l*l**(-1/12)/l)/l))))/l**(-2/7))/(l**(-2/5))**(-2/21) assuming l is positive. l**(1399/420) Simplify (r*r*r**(2/5)*r*r)**(8/15)*r**(-1/4)/(r**(-1/7)*r) assuming r is positive. r**(2603/2100) Simplify s**(10/13)*((s**(-32)*s)/s)/s assuming s is positive. s**(-419/13) Simplify f**(-7)*f*f/f**(-2/9) assuming f is positive. f**(-43/9) Simplify (l**(-3))**(6/19)/(l**11/(l/(((l*l**(-10))/l)/l))) assuming l is positive. l**(1/19) Simplify (t/t**2)/t*t**(5/6)*(t**(-2/3))**(18/13) assuming t is positive. t**(-163/78) Simplify ((x*x**(-2/9)*x)**16)**38 assuming x is positive. x**(9728/9) Simplify (y*(((y/(y/y**3))/y)/y)/y*y)**(-1/13) assuming y is positive. y**(-2/13) Simplify l/(((l/(((l*l**17*l)/l*l)/l))/l*l)/l)*l*l*l**7 assuming l is positive. l**28 Simplify n*n*n**8*n/(((n/(n/(n*n**9)))/n)/n)*n**8*n**(-1/3) assuming n is positive. n**(32/3) Simplify p**(-4/5)*p**(10/3) assuming p is positive. p**(38/15) Simplify (l/(l/(l**6/l)*l))**33 assuming l is positive. l**132 Simplify t**(-1)/t**(-2)*t**2*t**4*t*t assuming t is positive. t**9 Simplify (l**(-7)*l)/l**(11/5) assuming l is positive. l**(-41/5) Simplify ((g*g**2)/(g**2/g))**(-1/5) assuming g is positive. g**(-2/5) Simplify g/(g*g**42)*g**(-13)*g assuming g is positive. g**(-54) Simplify a**(-2/41)/(a/((a*a*a**(-7)/a)/a))*(a/a**10)/(a**9*a*a) assuming a is positive. a**(-1150/41) Simplify g/((((g/g**(-4))/g)/g)/g)*(g**(3/8)*g*g)/g assuming g is positive. g**(3/8) Simplify (g**2)**(-1/6)/(g/(g/(g/g**(2/9))))**(-4/9) assuming g is positive. g**(1/81) Simplify ((u/(u/(u*u/(u*(u*u**18*u)/u*u)*u)*u))/u)/u**3 assuming u is positive. u**(-23) Simplify (c**(-2)*c)**9 assuming c is positive. c**(-9) Simplify (s**(1/4)*s**1)/(s**(-2/13)/s**2) assuming s is positive. s**(177/52) Simplify (((s/((s/((s*(s**(1/4)/s)/s)/s))/s))/s*s)/s**3)**(-44) assuming s is positive. s**165 Simplify ((x/(x**27*x*x))/x)/(x/x**10) assuming x is positive. x**(-20) Simplify h/(h**(-6/5)*h)*h**10 assuming h is positive. h**(56/5) Simplify (h**(-2/3)*h*h)**(-45) assuming h is positive. h**(-60) Simplify (z*z**(-1/4))/(z**(-2/9)*z*z) assuming z is positive. z**(-37/36) Simplify (s*s*s**(-2)*s)**(-1/35) assuming s is positive. s**(-1/35) Simplify ((s**(-3)/s)/(s*s**(-1/3)*s))**(-2) assuming s is positive. s**(34/3) Simplify ((b**(2/9))**(-28))**50 assuming b is positive. b**(-2800/9) Simplify (w**(-18)*w*w)/(w/(w/(w**(-1/26)/w)*w)) assuming w is positive. w**(-363/26) Simplify (w**(-8))**(24/5) assuming w is positive. w**(-192/5) Simplify (x*x**(-1)/x)**(-47) assuming x is positive. x**47 Simplify ((p*p**(-6/7)/p*p)/p)/p**(3/8) assuming p is positive. p**(-69/56) Simplify ((j**(-22)/j)/j)/(j*j**(1/16)) assuming j is positive. j**(-401/16) Simplify v**15*v/(v/v**(-4/35)) assuming v is positive. v**(521/35) Simplify ((f/f**(2/7))/f**4)/(f**(4/7)*f**2) assuming f is positive. f**(-41/7) Simplify w/(w/(w*w*w**40))*w*w*w**(-14) assuming w is positive. w**30 Simplify ((y/((y*y**12/y*y*y)/y))/y)**(5/16) assuming y is positive. y**(-65/16) Simplify (o**25/o*o)**(-35) assuming o is positive. o**(-875) Simplify (((g/(g**(1/6)*g))/g*g)/g**(-2/15))/((((g/((g*g*g**(-1/2))/g))/g)/g*g*g)/(g*(g**(4/5)*g)/g)) assuming g is positive. g**(19/15) Simplify g**24/(g*g/(g/g**16)*g) assuming g is positive. g**6 Simplify m**14*m/(m*(m/m**(-4))/m) assuming m is positive. m**10 Simplify (o**(-2)*o)/(o/((o*o*o**3)/o))*o**(-8
{ "pile_set_name": "DM Mathematics" }
- -6). Is 1 > c? True Let w = -6 - -5.7. Let d = -64.7 - -62. Let q = w + d. Are q and 0 equal? False Suppose -5*g + 2*g + 15 = 0, 2*p + 2*g = 8. Let t(s) = s**3 - 3*s**2 - 4*s - 2. Let z be t(-2). Let i be 11/z - (-1)/2. Which is smaller: p or i? p Let u be (-2)/(-5) + 132/20. Let n be (2/(-6))/(2/(-42)). Let g = u - n. Which is smaller: g or -1? -1 Suppose -2*x + 26 = 3*q + q, -4*q = x - 27. Is 8 >= q? True Suppose -2*y = -11*y + 27. Which is bigger: 11/4 or y? y Let q(a) = -a**3 + 12*a**2. Let x be q(12). Suppose x = -g + 5*b + 13, 0*b = 3*g + 2*b + 12. Let u = -703/300 + 7/75. Which is greater: g or u? g Let b be 15/9 - (-2)/(-3). Let n = -186.95 - -191. Let q = n - 0.05. Which is bigger: b or q? q Let g = 0 + 0.1. Suppose -4*y - 4*u = -2*y - 16, -y + u = 1. Which is greater: y or g? y Suppose 0 = 4*m - 4*t - 40, -5*t + 10 = m + 4*m. Let k = m - 9. Let x = 73 - 76. Is x at least k? True Suppose -5*s + 2*k - 35 = 0, -2*s + 0*s = -5*k + 35. Which is bigger: s or -21/5? -21/5 Let l be 38/(-285) - 163/15. Which is smaller: -17 or l? -17 Let a be (-1 - 0) + -4 + 9. Suppose -1 = 2*n + 3*x + 10, a*n = -5*x - 17. Is 2 >= n? True Let b = 13 - 6. Suppose -3*t + 3 = 0, -4*t = -y - 2*y - b. Which is greater: y or 2? 2 Let t = -3.26 + 2.8. Let d = -0.16 - t. Is d less than -0.1? False Let q(t) = -t**3 - 10*t**2 + 11*t - 3. Let f be q(-11). Let b = 1 - 1. Which is greater: f or b? b Let h = 0.4 + -0.3. Let y = -12.12 + 12. Let j = 1.12 + y. Is h not equal to j? True Suppose 0 = 4*k - 4*q - 80, -2*q = 5*k - 0*q - 128. Let g = k + -14. Let a be (-6)/10 + 6/g. Is a >= 2? False Let u = 2 - 5. Let c = u - -3.5. Let w = c + -0.4. Does w = 0.1? True Let v(g) = g**2 + 4*g + 3. Let m be v(-2). Let s = 1129/5 - 212. Let y = -14 + s. Which is smaller: m or y? m Suppose -4*c = -30 + 6. Let t(z) = z**3 - 6*z**2 - 4. Let l be t(c). Let v(m) = m + 4. Let o be v(-3). Is l greater than o? False Suppose f - 6 = -0*f. Let j = f + -9. Let d = j - -5. Is 1 greater than d? False Let q be -2 + -2*(-4)/(-8). Suppose -c = -3*b + 3*c + 14, 3*c + 23 = -4*b. Let x(y) = -y**2 + 2*y + 3. Let a be x(b). Is q bigger than a? True Suppose -6 = 2*t - 4*t. Suppose -d + 3 = 4*f, 2*f + 0*d = d - t. Do f and 2/45 have different values? True Let i be (2 + -1 + 0)/2. Which is smaller: i or 0? 0 Suppose s = 3*s. Which is bigger: s or 1/5? 1/5 Suppose -7 = 5*g - 2. Let v = 22 - 40. Let k = 196/11 + v. Is k > g? True Let p = -23/190 - 3/38. Suppose 2*c + 2*r = 12, -3*r + 0*r = 4*c - 22. Suppose c*g + 4 + 0 = 0. Which is smaller: g or p? g Suppose 0 = -c - c. Let b = -66324 + 730629/11. Let h = 97 - b. Which is bigger: h or c? h Let n = -2 + 4. Let q = 0.003 - -1.017. Let s = q - 0.02. Is s at most n? True Suppose -2*k + 0*m = -5*m + 301, -5*k - 744 = -4*m. Let n = -737/5 - k. Suppose 2*f + 2 = 5*c - 2, 0 = 5*c - 3*f - 6. Which is smaller: c or n? c Let b(w) = w**3. Let z be b(0). Suppose z = -d - 2*d. Suppose 4*m + d*m - 16 = 0. Is 5 smaller than m? False Let z = -2 - -3. Which is bigger: z or 1/5? z Let k = 56 + -53. Is -14 >= k? False Let p = 1 - 1. Let y = 0 - p. Let n = y + 0.2. Is n less than or equal to -2? False Let d = -13 + 9. Suppose -194 = -3*b - 2*z, 0 = -3*b + 5*b + 4*z - 116. Let q be 1/4 + b/(-16). Is q > d? False Let o = -763 + 5351/7. Is 1 > o? False Let n = 34 + -35. Let k = -6684 - -45512/7. Let l = 182 + k. Is n less than l? True Let q = -8 + 10. Let v = q + 3. Suppose 3*g = -4*u + 23, u - 2*g + v + 3 = 0. Which is bigger: u or 8/3? 8/3 Suppose 3*d + d - 20 = 5*h, 3*d = 2*h + 8. Let p be ((-4)/3)/(-2 - -8). Which is smaller: d or p? p Let v = 7 + -3. Let z be (-2 - (3 + -3))*-2. Suppose 0 = -z*j + 3*j + b + 2, -5*b - 13 = -2*j. Which is bigger: j or v? v Suppose -3*w - 6 = -h, -7*h = -5*w - 4*h - 6. Let x be (w*2)/(-3)*6. Is x greater than 12? False Let c = 72 - 357/5. Is c equal to 1? False Let j = -1 + -4. Let b be (18/j)/(-3) - 1. Let z be -1 + 1 + 0 + 0. Is z at least b? False Let i(c) = -4*c. Let n be i(-1). Suppose -4 = -0*a - n*a. Is a smaller than -2/9? False Let o(h) = h**2 - 3*h - 7. Let q be o(5). Suppose 2*b + 4*g - 8 = 3*g, -3*b = -5*g + 14. Which is smaller: b or q? b Let n(z) = -z**2 + 3*z + 11. Let y be n(5). Which is smaller: -1/56 or y? -1/56 Suppose 3*w + 15 = 0, 3*r + 0*w = 4*w + 32. Let g be r/((-3)/(-3) - 2). Which is greater: -2 or g? -2 Let j be 2 + -2 - 6/(-5). Let z = 12 - 11. Is z > j? False Let s be 3 + -8 + -3 + 4. Is -4 >= s? True Suppose 6 = 3*b, -i + 5 - 2 = b. Let x be i*-1*(-11 + 7). Which is bigger: x or 2? x Let b(m) = 7*m - 1. Let c be b(7). Suppose -3*w - 15 = -2*d - 4, -4*w - 4*d = c. Let o be (-2)/w - (-74)/(-14). Which is smaller: -6 or o? -6 Let b = 4.4 + -2.4. Which is smaller: 1.5 or b? 1.5 Let k = 8 - 2. Let d = k - 4. Which is smaller: 1 or d? 1 Let u(y) = -y**2 + 10*y + 14. Let q be u(11). Let a(n) = 2*n - 2 - 1 + n. Let h be a(2). Is h < q? False Suppose -2*b + 2 = -2. Suppose -l + 5*l = -2*r - 22, -3*r + b*l = 1. Is -3 less than r? False Let k(q) = 2*q**2 + 2*q. Let x be k(-2). Is x bigger than 5? False Let v be 3/3*2 - -23. Suppose -5*b = v, -6*s + s + 15 = -2*b. Let x = 33/164 + 2/41. Is x <= s? True Let d = -5 + 8. Suppose 0 = -d*c + 5*c + 4. Let p(i) = i + 4. Let a be p(-5). Which is smaller: a or c? c Let v(w) = -w**3 - 8*w**2 - 7*w + 8. Let i be v(-7). Suppose 2*m + 0*m = i. Is -0.1 bigger than m? False Let y = -5 + 1. Let m be 1 - 3 - 4/y. Let x be m/(2/2)*0. Are x and 1/8 nonequal? True Let a = 4 + -8. Let h(l) = -l + 2. Let u be h(7). Which is bigger: a or u? a Let j = -29.8 + 25. Let x = 0.8 + j. Which is smaller: x or -1/2? x Let o be (-2)/(-6)*(1 - -10). Let n = -35 + 39. Which is greater: o or n? n Let n be -3 - (-3)/((-24)/(-26)). Which is smaller: -1 or n? -1 Let j = 13 + -14. Which is smaller: -7/5 or j? -7/5 Let x be (-9)/(-36) - (-19)/4. Let m(j) = j**2 - 7*j + 4. Let l be m(7). Is x less than l? False Let q(u) = -7*u**2 - 8*u + 5. Let l(c) = 6*c**2 + 7*c - 4. Let t(j) = -6*l(j) - 5*q(j). Let y be t(-1). Which is bigger: y or 5/6? 5/6 Let h = 2 - 0. Let r be h/(-3) + 4/(-3). Let t(i) = -i**3 - 2*i**2 + 5*i + 3. Let v be t(-3). Is r <= v? False Suppose s = 3 + 2. Suppose -10 = -s*q - 0. Let w = -16 + 17. Is q equal to w? False Let x be (-2)/7 + 306/42 + -7. Which is bigger: x or 10/21? 10/21 Let g = 703/9 - 78. Is g smaller than 0? False Let s = 69 + -136. Is s greater than or equal to -68? True Suppose 24 = 3*l + 75. Is -63/4 <= l? False Let j(c) = 4*c**3 - c**2 + 2. Let g be j(-1). Are -3 and g nonequal? False Let v = 14.5 - 21.5. Is v greater than or equal to -4/5? False Let y = 913 + -915. Let l = -2 - -1.9. Which is bigger: l or y? l Let d be (-1 - 3)*(2118/(-708) + 3). Which is smaller: 0 or d? d Let g be (6/110)/((-16)/(-10)). Let i be (-2074)/3696 - 1/(-2). Let u = g - i. Is u < 0? False Let t = 31696/13 + -2437. Is t <= 2? True Let y be 1/(-3)*0 + (1 - 1). Is y at least as big as -4/23? True Let g = 6.02 - -0.38. Let t = 6 - g. Do t and 1 have different values? True Suppose -n + 2 + 3 = 0. Let z be 0*(n/2 - 2). Let k be 3/1 - (8 - 6). Which is smaller: k or z? z Suppose -5*i = 3*w + 14, 5*w - 22 = -0*i + 3*i. Let n = i + 4. Which is bigger: -9 or n? n Let s = -0.43 + 0.4. Let l = 0.53 + s. Are 0.1 and l nonequal? True Let r(g) = 9*g**2 - 1. Let y be r(1). Suppose 8*f - y = 6*f. Are 4 and f nonequal? False Let x be 6/(-9) - 1/3. Which is smaller: -18/11 or x? -18/11 Let v(y) = -y**2 + 10*y - 13. Let t be v(10). Is t at most as big as -12? True Let l = -5/2 - -2. Is l > 0.1? False Let m(i) = -i**3 - 2*i**2 + 2*i - 1. Let w be m(-3). Let t(k) = -2*k - 3. Let v(u) = 2*u + 3. Let o(g) = w*v(g) + 3*t(g). Let h be o(-2). Is 3/2 less than h? False Let f = -13.89 + 14. Let c = f + 0.09. Is 1 greater than c? True Suppose 2*j - 2 = 0, j = -r - 0 + 2. Which is greater: -4/11 or r? r Let v = 9 - 10. Let n be (-645)/351 - 2/(-9). Let a = n - -202/117. Is v at most as big as a? True Let d = -140 + 1262/9. Which is bigger: d or 0? d Let m = 0.05 - 0.05. Which is greater: m or 2/5? 2/5 Suppose -2*c - c = 21. Let t = 17 + -23. Is c > t? False Let k(g) = 2*g**2 - g - 1. Let y be k(-2). Let c be -2 + (-16)/y - -4. Which is smaller: c or -1? -1 Suppose 25 = -0*q - 5*q. Let l be (0/3)/(q - -2). Suppose -5*s + 12 = 4*d,
{ "pile_set_name": "DM Mathematics" }
2338/11 = 0. -1, 9, 1329 Find d such that 68*d**2 + 350*d + 50 = 0. -5, -5/34 Solve -l**2 + 127368*l - 4055651856 = 0. 63684 Find h such that 8*h**2 + 48210*h + 108432 = 0. -6024, -9/4 Factor -q**3/4 + 651*q**2/4 - 71955*q/4 + 2201225/4. -(q - 521)*(q - 65)**2/4 What is f in 5*f**5 + 11778*f**4 + 6753778*f**3 - 215844776*f**2 + 291627657*f - 82548442 = 0? -1193, 2/5, 1, 29 Determine r so that -3*r**2/4 + 112209*r/2 = 0. 0, 74806 Factor 5*o**4 - 3510*o**3 + 616005*o**2. 5*o**2*(o - 351)**2 Factor -k**5 - 1645*k**4 - 9834*k**3 + 54*k**2 + 88587*k + 132759. -(k - 3)*(k + 3)**3*(k + 1639) Factor 3*x**2 - 4332*x + 12969. 3*(x - 1441)*(x - 3) Determine i, given that -3*i**2/7 - 30*i + 1368/7 = 0. -76, 6 Find z, given that 4*z**5 + 12*z**4 - 41760*z**3 - 1684800*z**2 = 0. -60, 0, 117 Let -5*q**5 + 305*q**4 - 4650*q**3 + 29700*q**2 - 85320*q + 90720 = 0. Calculate q. 3, 4, 6, 42 Determine a so that -2*a**2/7 - 4*a + 13680/7 = 0. -90, 76 Determine v, given that -v**3/2 - 50*v**2 + 326*v + 848 = 0. -106, -2, 8 Factor -d**2/7 - 19386*d/7 + 19387/7. -(d - 1)*(d + 19387)/7 Find i such that 2*i**3 + 695*i**2 - 8227*i + 10770 = 0. -359, 3/2, 10 Suppose -2*n**2/13 - 1598*n/13 - 310620/13 = 0. Calculate n. -465, -334 Determine y so that 5*y**5 + 197120*y**4 + 1942420445*y**3 - 7771850230*y**2 + 9715650620*y - 3886417960 = 0. -19714, 1, 2 Determine w so that -3*w**4/4 + 5193*w**3/4 - 2249865*w**2/4 + 2244675*w/4 = 0. 0, 1, 865 Determine h, given that 3*h**2 - 405*h - 57018 = 0. -86, 221 Factor -5*p**5/3 - 20*p**4/3 + 30*p**3 - 100*p**2/3 + 35*p/3. -5*p*(p - 1)**3*(p + 7)/3 Determine m so that m**3/5 - 336*m**2/5 + 3019*m - 31920 = 0. 16, 35, 285 Factor -h**2/5 + 9822*h/5 - 24117921/5. -(h - 4911)**2/5 Factor -2*n**3/5 + 64*n**2/5 + 1266*n/5 - 864. -2*(n - 45)*(n - 3)*(n + 16)/5 Factor -4*i**3 + 31744*i**2 + 16*i - 126976. -4*(i - 7936)*(i - 2)*(i + 2) Factor -5*v**3 + 50*v**2 + 285*v - 1170. -5*(v - 13)*(v - 3)*(v + 6) Suppose -23*y**4/9 - 6487*y**3/9 - 94*y**2/3 = 0. Calculate y. -282, -1/23, 0 Suppose 3*h**5/8 - 471*h**4/8 + 3303*h**3/4 - 7773*h**2/2 + 7491*h - 5112 = 0. What is h? 2, 3, 8, 142 Factor -2*t**2/23 - 13136*t/23 + 78888/23. -2*(t - 6)*(t + 6574)/23 Factor -3*i**2/4 - 37557*i/4 - 18777/2. -3*(i + 1)*(i + 12518)/4 Factor -2*p**3/17 + 3238*p**2/17. -2*p**2*(p - 1619)/17 Find d, given that 28*d**4 + 1804*d**3 - 4876*d**2 - 3436*d + 3216 = 0. -67, -1, 4/7, 3 Find v such that -2*v**2/11 + 55788*v/11 + 55790/11 = 0. -1, 27895 Let 4*j**5 - 38348*j**4 - 76712*j**3 = 0. Calculate j. -2, 0, 9589 Let v**5/9 + 5*v**4 + 671*v**3/9 + 3431*v**2/9 + 544*v/3 - 5780/9 = 0. Calculate v. -17, -10, -2, 1 Solve -y**5/3 + 6*y**4 + 30*y**3 - 32*y**2/3 - 91*y + 66 = 0 for y. -3, 1, 22 Factor -4*r**2 + 19632*r - 39248. -4*(r - 4906)*(r - 2) Find d such that 12*d**5 - 88*d**4 - 768*d**3 - 1448*d**2 - 780*d = 0. -3, -5/3, -1, 0, 13 Solve 4*x**2/9 - 4*x/9 = 0. 0, 1 Suppose 5*n**3 + 62950*n**2 + 125885*n + 62940 = 0. Calculate n. -12588, -1 Factor -3*q**2 - 102*q - 99. -3*(q + 1)*(q + 33) Factor -3*t**2/5 - 378*t + 142392/5. -3*(t - 68)*(t + 698)/5 Solve 3*v**2/7 - 294*v - 2079 = 0. -7, 693 Factor 5*d**2 - 13072150*d + 8544055281125. 5*(d - 1307215)**2 Let -5*l**2/2 - 310070*l - 9614340490 = 0. Calculate l. -62014 Let 2*j**3 + 76*j**2 - 22600*j + 690000 = 0. What is j? -138, 50 Solve r**4 + 91*r**3 + 2715*r**2 + 27125*r + 24500 = 0. -35, -20, -1 Factor y**3/7 - 4552*y**2/7 + 736763*y + 52029610/7. (y - 2281)**2*(y + 10)/7 Factor 2*y**3/7 - 1298*y**2 + 18166*y/7 - 9082/7. 2*(y - 4541)*(y - 1)**2/7 Suppose -2*o**2/5 - 982*o/5 - 21528/5 = 0. Calculate o. -468, -23 What is y in 2*y**4/7 - 10*y**3/7 - 128*y**2/7 + 568*y/7 - 576/7 = 0? -8, 2, 9 Find u such that 3*u**2 + 1826130*u + 277895898075 = 0. -304355 Factor 4*l**4 - 168*l**3 - 1776*l**2 - 3160*l + 5100. 4*(l - 51)*(l - 1)*(l + 5)**2 Solve -2*t**3 + 846*t**2 + 260408*t + 259560 = 0. -206, -1, 630 What is d in 30*d**3 - 8365*d**2 + 31605*d + 5500 = 0? -1/6, 4, 275 Let -t**4/3 + 305*t**3/3 - 6122*t**2/3 - 29432*t/3 = 0. Calculate t. -4, 0, 26, 283 Factor q**2/7 - 1873*q/7 - 84348/7. (q - 1917)*(q + 44)/7 Find p such that 2*p**2/3 - 32106*p - 96324 = 0. -3, 48162 Let -b**4 - 277*b**3/2 + 1283*b**2/2 - 286*b = 0. What is b? -143, 0, 1/2, 4 Find a, given that -5*a**3 + 500*a**2 - 1405*a - 4850 = 0. -2, 5, 97 Suppose -3*h**2 - 13446*h + 40365 = 0. What is h? -4485, 3 Factor 4*n**3 - 5088*n**2 + 1633140*n - 9616536. 4*(n - 633)**2*(n - 6) Suppose p**2/3 + 102650*p/3 + 2634255625/3 = 0. What is p? -51325 Factor -y**2/4 + 3743*y/4 - 10263. -(y - 3732)*(y - 11)/4 Determine g, given that 3*g**2/7 - 351*g/7 = 0. 0, 117 What is g in 4*g**4 + 28900*g**3 + 259692*g**2 - 606100*g + 317504 = 0? -7216, -11, 1 Let -2*u**4/7 + 36*u**3/7 + 3678*u**2/7 - 7456*u/7 + 3744/7 = 0. Calculate u. -36, 1, 52 Factor 2*p**2/7 - 1616*p/7 - 94930/7. 2*(p - 863)*(p + 55)/7 What is a in -a**3/8 - 3953*a**2/8 + 7925*a/8 + 59325/8 = 0? -3955, -3, 5 Find q such that 4*q**2 + 101092*q/7 + 43320/7 = 0. -3610, -3/7 Factor -2*w**4 + 4866*w**3 - 2971872*w**2 + 14737960*w. -2*w*(w - 1214)**2*(w - 5) Factor -2*p**2/9 - 1214*p - 206872/9. -2*(p + 19)*(p + 5444)/9 Let -f**4/11 - 256*f**3 - 1524*f**2 + 270400*f/11 + 1798400/11 = 0. Calculate f. -2810, -8, 10 What is g in -g**2/5 - 12796*g/5 - 40934404/5 = 0? -6398 Factor 3*g**3 - 2453*g**2 + 28232*g - 17732. (g - 806)*(g - 11)*(3*g - 2) Factor 5*z**3 - 470*z**2 + 920*z. 5*z*(z - 92)*(z - 2) Let -8*v**3/3 - 1303*v**2/3 + 16963*v/3 - 700 = 0. Calculate v. -175, 1/8, 12 Let -3*r**3 - 243*r**2 - 5532*r - 32292 = 0. What is r? -46, -26, -9 Factor 2*v**3 + 4024*v**2 - 64866*v + 60840. 2*(v - 15)*(v - 1)*(v + 2028) Determine t, given that 2*t**3/5 - 26594*t**2/5 + 88842272*t/5 - 2902905984/5 = 0. 33, 6632 Factor z**5 - 6523*z**4 - 58761*z**3 - 176337*z**2 - 176364*z. z*(z - 6532)*(z + 3)**3 Let -42*f**3/5 - 586*f**2 + 3682*f/5 - 142 = 0. Calculate f. -71, 5/21, 1 Suppose -2*t**4/7 + 138*t**3/7 + 1580*t**2/7 = 0. What is t? -10, 0, 79 Factor -5*r**2/3 - 6769840*r/3 - 2291536681280/3. -5*(r + 676984)**2/3 Factor 2*o**2 + 62864*o + 754080. 2*(o + 12)*(o + 31420) Factor 3*r**2 - 2826*r + 118536. 3*(r - 898)*(r - 44) Factor 2*m**3 + 344*m**2 + 6600*m. 2*m*(m + 22)*(m + 150) Let 7*p**5/5 + 471*p**4/5 - 1343*p**3/5 - 891*p**2/5 + 1336*p/5 + 84 = 0. Calculate p. -70, -1, -2/7, 1, 3 Factor -16*q**3/3 + 144*q**2 - 1196*q + 8464/3. -4*(q - 4)*(2*q - 23)**2/3 Suppose w**2 + 33888*w + 287099136 = 0. Calculate w. -16944 Factor -i**3/4 - 47393*i**2/2. -i**2*(i + 94786)/4 Find g such that 2*g**2/5 + 3148*g/5 - 6304/5 = 0. -1576, 2 Factor 3*t**2/2 + 74445*t + 1847352675/2. 3*(t + 24815)**2/2 Factor 2*b**3/3 - 104*b**2 - 200384*b/3. 2*b*(b - 404)*(b + 248)/3 Factor 27*u**5 + 2970*u**4 - 18540*u**3 + 29080*u**2 - 17600*u + 3712. (u - 4)*(u + 116)*(3*u - 2)**3 Factor -2*r**3/7 + 2*r**2 + 600*r - 12672/7. -2*(r - 48)*(r - 3)*(r + 44)/7 Factor -268*j**3 + 544*j**2 - 284*j + 8. -4*(j - 1)**2*(67*j - 2) What is k in -3*k**3 + 2679*k**2 - 583080*k - 6742032 = 0? -11, 452 Solve -126*o**2 + 5151*o + 10806 = 0 for o. -2, 1801/42 Let -2*h**5/9 - 274*h**4/9 + 13732*h**3/9 - 8540*h**2 - 21778*h - 11682 = 0. Calculate h. -177, -1, 9, 33 Factor -w**2/7 + 103*w + 3630/7. -(w - 726)*(w + 5)/7 Solve 5*r**3 - 10*r**2 - 5795*r - 72200 = 0. -19, 40 Solve -3*t**3 - 2247*t**2 - 133182*t + 135432 = 0 for t. -684, -66, 1 Suppose u**5/4 - 27*u**3 + 108*u**2 = 0. Calculate u. -12, 0, 6 Solve -5*g**3 - 5285*g**2 - 1430280*g - 17711460 = 0 for g. -522, -13 Factor -w**2 + 3547*w - 35370. -(w - 3537)*(w - 10) Suppose -x**2/5 - 21716*x - 589480820 = 0. What is x? -54290 Suppose 722*g**5/3 + 6042*g**4 - 85460*g**3/3 - 113836*g**2/3 - 3754*g - 290/3 = 0. What is g? -29, -1, -1/19, 5 Factor -o**2/5 + 840*o. -o*(o - 4200)/5 What is c in c**2/3 + 12635*c/3 - 54808 = 0? -12648, 13 Solve -3*h**5/5 - 3252*h**4 - 16242*h**3/5 + 81276*h**2/5 - 48771*h/5 = 0 for h. -5419, -3, 0, 1 Find k, given that -20*k**3/3 - 1221355*k**2/3 - 18644976350*k/3 + 13985793375 = 0. -30535, 9/4 Factor -101*v**2/9 - 4417*v/9 - 4316/9. -(v + 1)*(101*v + 4316)/9 Factor d**2/5 + 7894*d/5 + 76881. (d + 49)*(d + 7845)/5 Find d, given that d**4/4 - 11*d**3/4 - 3*d**2/4 + 31*d/4 + 11/2 = 0. -1, 2, 11 Determine l,
{ "pile_set_name": "DM Mathematics" }
o**2 - 4*o**2 + 4*o**2. Let h(k) = 18*b(k) - 2*f(k). Give c(h(g)). 8712*g**4 Let l(y) = 8*y. Let i(x) be the second derivative of 1/6*x**4 + 0 + 0*x**3 - 4*x + 0*x**2. Give i(l(g)). 128*g**2 Let s(k) = -5*k**2. Let l(j) = -383751 + 383751 - 55*j. What is s(l(g))? -15125*g**2 Let s(c) = 5 - 677*c + 0 + 678*c. Let f(p) = -2*p - 8. Let a(z) = 5*f(z) + 8*s(z). Let j(u) = -5*u**2 - 7*u**2 - 3*u**2. Determine a(j(x)). 30*x**2 Suppose 4*l + 5*r - 174 = l, -5*r = 4*l - 227. Let n(q) = -l*q + 6*q + 126 - 126. Let y(f) = f**2. What is y(n(o))? 2209*o**2 Let b(y) be the third derivative of -y**5/60 + 2*y**2 - 5. Let x(w) = -90*w**2. Determine x(b(h)). -90*h**4 Let r(n) be the second derivative of 88*n**3/3 - 67*n. Let t(p) = -2*p. Give r(t(w)). -352*w Let r(v) be the second derivative of -v**3/3 - 39*v**2/2 + 44*v. Let h(s) = -4*s. Determine r(h(q)). 8*q - 39 Let t(q) be the third derivative of -3/5*q**5 - 13*q**2 + 0*q**4 + 0*q**3 + 0 + 0*q. Let k(o) = 2*o**2. What is t(k(d))? -144*d**4 Let z(u) = 3*u + 16. Let c be z(-5). Let a(k) = -c + 1 - 198*k + 200*k. Let i(g) = -g. What is a(i(m))? -2*m Let u(y) = -y**2 - 6*y + 11. Let w be u(-7). Let b(h) be the second derivative of 0*h**2 - 8*h + 0 + 0*h**3 - 19/12*h**w. Let k(i) = 2*i. Give k(b(f)). -38*f**2 Suppose 5*g - 5*n = -n + 40, g + 3*n = 27. Let l(x) = -g*x + 25*x - 14*x. Let p(s) = -22*s. Determine l(p(j)). 22*j Suppose 2*w = 3 + 1. Let m(l) = -12*l**2 - 6*l**w + 9*l**2. Let z(i) = -2*i**2. Determine m(z(v)). -36*v**4 Let a(c) = -12*c. Suppose 2*i - 16 = -0*i - 3*l, -5*l = 2*i - 24. Let q(x) = 0*x**i - x**2 + 4*x**2. Determine a(q(f)). -36*f**2 Let y(q) = -3*q. Let v(a) = -a - 10. Suppose 3*f + 35 + 16 = -5*h, h + 5*f - 3 = 0. Let i be v(h). Let c(d) = -2*d + 4*d + 2*d**i - 2*d. Give c(y(o)). 18*o**2 Suppose 3*r - 5*n = 354, -3*r - n = -8*r + 590. Let m(s) = -5*s - r + 118. Let i(o) = -2*o. Give i(m(f)). 10*f Let h(s) = 10*s + 2 - 6*s - 9*s + 3*s. Suppose -7*r + 10 = -2*r. Let b(n) = -8*n + 9. Let m(o) = r*b(o) - 9*h(o). Let a(v) = -6*v. What is a(m(l))? -12*l Let l(y) = 5*y. Let t(g) be the first derivative of -2*g**3 - 65. Give l(t(a)). -30*a**2 Let b(i) = 683679*i**2. Let t(d) = -3*d. Determine t(b(w)). -2051037*w**2 Let m(b) = 2*b**2. Let i(y) = 147*y**2. Let a(h) = -i(h) - 5*m(h). Let w(q) = 2*q**2. Calculate a(w(c)). -628*c**4 Let d(s) = 2*s**2. Let n(q) = q**3 + 9*q**2 - 4. Let b be n(-9). Let i(t) = -t - 1. Let g be i(b). Let m(r) = -g*r**2 - 9 + 9. Determine m(d(o)). -12*o**4 Let o(r) be the second derivative of r**3/6 - 54*r. Let s(g) = -49*g**2. Give s(o(v)). -49*v**2 Let z(m) = 115*m - 24. Let s(i) = 7*i**2 + 8. What is z(s(o))? 805*o**2 + 896 Let h(g) = -5*g**2. Let c(y) be the second derivative of y**3/3 - 77*y. Give h(c(z)). -20*z**2 Let u(z) = 13*z**2. Let x(c) = -67*c**2. Let a(y) = 11*u(y) + 2*x(y). Let k(i) = 15*i. What is a(k(p))? 2025*p**2 Let g(p) = 11*p. Let t(n) = -383*n**2 - 4. Calculate t(g(a)). -46343*a**2 - 4 Let b(t) = -26 + 4*t + 26. Let v be 25/(-10)*8/(-10). Let h(j) = 2*j**v + j**2 - 7 + 7. What is h(b(u))? 48*u**2 Let b(v) = -4678*v**2 + 1. Let a(q) = 4*q**2. Give a(b(w)). 87534736*w**4 - 37424*w**2 + 4 Let w(t) = 16*t + 22. Let i(g) = -5*g - 7. Let q(m) = -14*i(m) - 4*w(m). Let u(z) = 2*z + 3. Let b(o) = -3*q(o) + 10*u(o). Let r(a) = -4*a**2. Give r(b(d)). -16*d**2 Let i(k) = 138*k**2. Let p(b) = -2*b + 6. Let f(t) = 1. Let x(r) = 6*f(r) - p(r). Determine i(x(j)). 552*j**2 Let l be 815/210 + -1 - (-20)/70. Let s(z) be the second derivative of l*z**3 + 0*z**2 + 5*z + 0. Let g(n) = -2*n. Calculate g(s(c)). -38*c Let f(j) = 2*j - 8. Let n(d) = d - 3. Let k(o) = -3*f(o) + 8*n(o). Let b(i) = -58*i**2 - 3. Calculate b(k(v)). -232*v**2 - 3 Let v(t) be the first derivative of -t**2 + 4. Let h(s) = 4*s**2 - 5*s**2 + 4*s**2 + 5*s**2. Give h(v(g)). 32*g**2 Let f(m) be the second derivative of -m**3/2 - 75*m**2/2 + 38*m. Let y(v) = 2*v. What is f(y(u))? -6*u - 75 Let j(r) = 57571*r**2 + 2. Let k(f) = 4*f. Give j(k(t)). 921136*t**2 + 2 Let t(g) be the second derivative of 0*g**3 + 1/6*g**4 + 0 + 26*g + 0*g**2. Let q(r) = -11*r. Give t(q(v)). 242*v**2 Let x(y) be the first derivative of -2/3*y**3 + 0*y - 13 + 0*y**2. Let l(n) = -7*n - 9. Let k(d) = -d - 1. Let u(w) = 18*k(w) - 2*l(w). What is u(x(t))? 8*t**2 Let l(c) = 2*c. Let i be 11/7 - (-21)/49. Let h(q) = -q - 3*q - 7*q**i + 4*q. What is h(l(o))? -28*o**2 Let t(d) = 21*d - 45*d - 1 + 21*d. Let g(l) = 2*l + 1. Let y(k) = -3*g(k) - 3*t(k). Let c(j) = 14*j. What is c(y(n))? 42*n Let g(j) be the second derivative of -j**6/180 + 2*j**3 - 12*j. Let s(r) be the second derivative of g(r). Let p(c) = 83*c. Calculate s(p(a)). -13778*a**2 Let v(h) = -293 + 293 - 2*h**2. Let x(q) = 125*q**2. What is x(v(n))? 500*n**4 Let a(h) be the third derivative of h**4/24 - 8*h**3/3 - 195*h**2. Let p(o) = 2*o. What is p(a(t))? 2*t - 32 Let i(h) = h. Let r(s) = 214384*s. Calculate r(i(o)). 214384*o Let i(m) = 2*m**2 - 5*m. Let j(c) = 2 + 8895*c + 5*c**2 - 2 - 8895*c. Calculate j(i(s)). 20*s**4 - 100*s**3 + 125*s**2 Let m(t) = 5*t - 3. Let k be m(1). Let l(p) = -3*p**2 - p**2 - 6*p**k. Let w(d) = 3*d**2. Give w(l(r)). 300*r**4 Suppose 15 = 12*d - 7*d. Let c(k) = k - d*k + 3*k. Let l(j) = 12*j**2. Calculate l(c(w)). 12*w**2 Let y(l) = 2*l**2 + 0 + 0. Let a(m) be the second derivative of 5*m**3/2 + 211*m. Calculate y(a(h)). 450*h**2 Let u(c) be the first derivative of -9*c**2/2 - 90. Let m(k) = 42*k**2. Calculate m(u(r)). 3402*r**2 Let x(t) = -2*t. Let o(d) = d**2 - 9*d - 10. Let g be o(9). Let q be -17*(g/2 + 2). Let n(k) = q + 2*k - 51. Calculate x(n(j)). -4*j Let w(d) = -37*d**2. Let o(k) = -2*k. Let y(l) = -l. Let t(s) = o(s) - 4*y(s). Determine w(t(a)). -148*a**2 Let o(h) = -18*h**2 + 3. Let k(p) be the first derivative of -2*p**2 + 392. What is o(k(l))? -288*l**2 + 3 Let x(h) be the first derivative of h**2 + 1. Let a(m) = 10*m - 9*m - 12*m. Determine a(x(n)). -22*n Let a = 5 - 0. Let u(g) = a + 2*g + 2 - 7. Let z(c) = 14*c - 12. Let q(l) = -l + 1. Let m(o) = 12*q(o) + z(o). What is m(u(t))? 4*t Let i(m) = -126*m**2 + 1874*m - 2. Let r(d) = 2*d**2. Calculate i(r(h)). -504*h**4 + 3748*h**2 - 2 Let u(j) = 41436*j. Let y(o) = -3*o**2 - 2. Determine y(u(i)). -5150826288*i**2 - 2 Let a(k) = 4*k**2. Let h = -275 - -275. Let b(m) be the third derivative of -6*m**2 + 0*m**3 + 0*m + 1/8*m**4 + h. What is a(b(l))? 36*l**2 Let n = 24 - 28. Let y be (10/n)/((-20)/16). Let i(k) = 3 - y + 6*k**2 - 1. Let b(u) = -2*u**2. Determine b(i(m)). -72*m**4 Let i(w) = -2*w. Let y be (28/(-10))/((12/4470)/(-2)). Let p(x) = -2086 + y - 22*x. Give p(i(b)). 44*b Let w(c) = -4*c + 4*c + 4*c. Suppose 5*v + 3 = 3*l + 28, 4*v - 3*l = 23. Let t(q) = 103 - v*q - 103. What is w(t(x))? -8*x Let q(t) = -1219*t. Let o(s) = -16*s**2 + 3*s. Calculate q(o(p)). 19504*p**2 - 3657*p Let z(w) = 13*w**2. Let o = 51 - 49. Let x(g) = -g**2 - 4*g**o + 3*g**2 + 3*g**2. What is z(x(f))? 13*f**4 Let n(k) be the first derivative of 7 + 0*k + 3/2*k**2. Let h(a) = 6*a**2. Determine n(h(o)). 18*o**2 Let r(u) = -2*u**2 + 189. Let h(n) = 2*n**2 - 3*n + 2. Let t(w) = 23*w**2 - 33*w + 22. Let b(d) = -22*h(d) + 2*t(d). What is b(r(q))? 8*q**4 - 1512*q**2 + 71442 Let a(s) be the third derivative of 3*s**4/8 - 13*s**2 - 3. Let f(k) = 2*k. Calculate a(f(j)). 18*j Let w(u) be the second derivative of 0*u**3 - 1/6*u**4 + 5*u + 0 + 0*u**2. Let i(z) = -z + 1. Let n(t) = -t - 2. Let j(b) = -2*i(b) - n(b). Determine w(j(k)). -18*k**2 Let f(y) be the first derivative of -9*y + 12 - 2*y + 12*y**2 + 9*y. Let u(v) = -2*v**2. What is u(f(x))? -1152*x**2 + 192*x - 8 Let t = 26 + -31. Let y(o) = 27*o. Let j(n) = 14*n. Let f(r) = t*j(r) + 2*y(r). Let q(h) = -h**2. Give f(q(g)). 16*g**2 Suppose 0 = 7*n - 10 - 4. Let p(v) = -5 - 4 + 15 - 5*v**n. Let y(f) = -f**2. Determine y(p(b)). -25*b**4 + 60*b**2 - 36 Suppose 5 = 3*i - 1. Let b(a) = i*a**2 - 3*a**2 - 8*a**2 + a**2. Let n(x) = x**2. Give b(n(k)). -8*k**4 Let k(h) be the third derivative of -h**4/8 - 27*h**2. Let s(u) = -13*u**2. What is k(s(l))? 39*l**2 Let n(i) = -438*i**2 - i + 49. Let z(b) = -11*b. What is n(z(w))? -52998*w**2 + 11*w + 49 Let m(g) = 6*g**2 + 16. Let d(f) be the third derivative of -f**5/30 - 4*f**2 + 3*f. What is d(m(r))? -72*r**4 - 384*r**2 - 512
{ "pile_set_name": "DM Mathematics" }
352000000 What is 44.18819 days in microseconds? 3817859616000 What is 1489797.9 months in centuries? 1241.49825 What is seven thirds of a year in months? 28 What is 12/25 of a tonne in kilograms? 480 Convert 202837.8 millilitres to litres. 202.8378 How many seconds are there in 1/5 of a hour? 720 What is eleven halves of a year in months? 66 What is 26.3274921ns in weeks? 0.00000000000004353090625 How many millimeters are there in 0.155986m? 155.986 What is 3443.182l in millilitres? 3443182 What is 640.2422 milliseconds in microseconds? 640242.2 What is 0.905885 litres in millilitres? 905.885 How many micrograms are there in 9/10 of a milligram? 900 What is 57/5 of a meter in millimeters? 11400 Convert 7.299919t to milligrams. 7299919000 What is 2527421.4s in days? 29.2525625 How many seconds are there in 10/9 of a hour? 4000 How many decades are there in 0.036156 months? 0.0003013 Convert 1724643.522ms to weeks. 0.002851593125 What is eleven halves of a centimeter in millimeters? 55 How many tonnes are there in 0.6848211g? 0.0000006848211 How many nanograms are there in 284.9042t? 284904200000000000 How many microseconds are there in 411543.8 weeks? 248901690240000000 What is 920500.5 micrograms in kilograms? 0.0009205005 How many kilometers are there in 97.92298 centimeters? 0.0009792298 How many days are there in 105.3243 nanoseconds? 0.00000000000121903125 Convert 42720.04nm to kilometers. 0.00000004272004 What is 203.6009 micrograms in nanograms? 203600.9 What is 811.4805cm in kilometers? 0.008114805 What is fourty-one halves of a hour in seconds? 73800 How many nanometers are there in 848.5531cm? 8485531000 What is 3/40 of a minute in milliseconds? 4500 Convert 0.089547ml to litres. 0.000089547 How many meters are there in three eighths of a kilometer? 375 What is 336.0863 meters in millimeters? 336086.3 How many meters are there in 0.0016396 centimeters? 0.000016396 Convert 638.71 micrometers to centimeters. 0.063871 What is 49/4 of a litre in millilitres? 12250 What is 75/4 of a century in months? 22500 How many grams are there in 0.7807389t? 780738.9 What is 12344.7 micrograms in kilograms? 0.0000123447 Convert 872.9424 months to millennia. 0.0727452 What is twenty-eight thirds of a year in months? 112 What is 47/4 of a litre in millilitres? 11750 Convert 827.8859 decades to centuries. 82.78859 Convert 335954.4 days to seconds. 29026460160 What is 43/3 of a week in hours? 2408 How many millilitres are there in one tenth of a litre? 100 How many litres are there in 0.213319ml? 0.000213319 How many millilitres are there in 3/25 of a litre? 120 What is three eighths of a gram in milligrams? 375 How many months are there in fourty-three quarters of a century? 12900 How many millilitres are there in 107030.9 litres? 107030900 How many millilitres are there in 6/25 of a litre? 240 How many millennia are there in 1.927668 months? 0.000160639 How many millimeters are there in 59/4 of a meter? 14750 What is 11/2 of a meter in centimeters? 550 Convert 8187.138 hours to days. 341.13075 What is 55214.9 litres in millilitres? 55214900 Convert 21432.66 days to hours. 514383.84 How many micrometers are there in 18/5 of a millimeter? 3600 Convert 6023.489 hours to microseconds. 21684560400000 What is 3/56 of a week in minutes? 540 How many kilograms are there in seven halves of a tonne? 3500 What is eighteen fifths of a millisecond in microseconds? 3600 What is seven thirds of a hour in minutes? 140 What is 849108.8 days in milliseconds? 73363000320000 How many tonnes are there in 788442.5 grams? 0.7884425 How many kilograms are there in 1/10 of a tonne? 100 What is 3588.731 millilitres in litres? 3.588731 What is 6540.904 millennia in centuries? 65409.04 How many kilograms are there in fifty-one quarters of a tonne? 12750 How many milligrams are there in one fifth of a gram? 200 Convert 97.08314 decades to millennia. 0.9708314 What is 3/5 of a micrometer in nanometers? 600 What is one fifteenth of a decade in months? 8 How many months are there in 45/4 of a century? 13500 What is three fifths of a litre in millilitres? 600 How many micrograms are there in 64/5 of a milligram? 12800 What is 17/4 of a microgram in nanograms? 4250 What is 15740862.3 seconds in days? 182.18590625 How many millimeters are there in 233.4799km? 233479900 How many milligrams are there in 11/10 of a gram? 1100 How many millilitres are there in 1.694431l? 1694.431 What is 0.0120627 kilometers in micrometers? 12062700 How many micrometers are there in 9/10 of a centimeter? 9000 What is 67240.04mg in grams? 67.24004 How many nanoseconds are there in 1/10 of a microsecond? 100 How many micrometers are there in 386419.9mm? 386419900 How many kilograms are there in seventy-seven fifths of a tonne? 15400 How many micrometers are there in 13/8 of a centimeter? 16250 How many kilograms are there in eleven halves of a tonne? 5500 What is 27/5 of a centimeter in millimeters? 54 What is 45/4 of a litre in millilitres? 11250 How many nanoseconds are there in 29.09866us? 29098.66 What is one twentieth of a microgram in nanograms? 50 What is 160.7956 millimeters in meters? 0.1607956 How many seconds are there in 3559.446ns? 0.000003559446 What is five sixths of a millennium in months? 10000 Convert 32719.48t to milligrams. 32719480000000 What is 1/10 of a centimeter in millimeters? 1 What is 48.45175 minutes in seconds? 2907.105 What is three tenths of a litre in millilitres? 300 How many microseconds are there in 13.28668 weeks? 8035784064000 What is 21/4 of a kilogram in grams? 5250 How many micrometers are there in 29/5 of a centimeter? 58000 How many millimeters are there in 53/5 of a meter? 10600 How many seconds are there in seven sixths of a minute? 70 How many milligrams are there in thirty-one halves of a gram? 15500 What is five quarters of a hour in minutes? 75 What is 0.4383794 nanometers in millimeters? 0.0000004383794 How many decades are there in 295.6839 years? 29.56839 Convert 7.82216 millimeters to meters. 0.00782216 How many kilograms are there in 12/25 of a tonne? 480 What is 2/15 of a minute in seconds? 8 What is 904867.74s in days? 10.47300625 What is 7/6 of a minute in milliseconds? 70000 Convert 15.69932 millennia to decades. 1569.932 What is three eighths of a millimeter in micrometers? 375 Convert 74.548035us to hours. 0.0000000207077875 Convert 953.5163 kilometers to centimeters. 95351630 What is 27/4 of a micrometer in nanometers? 6750 How many kilograms are there in twenty-one quarters of a tonne? 5250 Convert 0.7065293 centuries to millennia. 0.07065293 Convert 2810.0682 milliseconds to hours. 0.0007805745 What is 885298.5ml in litres? 885.2985 Convert 481882.1 centimeters to nanometers. 4818821000000 What is 17.72686 hours in milliseconds? 63816696 What is seventy-three fifths of a millisecond in microseconds? 14600 How many milligrams are there in twenty-nine fifths of a gram? 5800 What is thirty-one halves of a tonne in kilograms? 15500 How many micrometers are there in 9/10 of a millimeter? 900 What is fifty-seven halves of a centimeter in millimeters? 285 How many centuries are there in 3/10 of a millennium? 3 How many microseconds are there in eleven quarters of a millisecond? 2750 How many centimeters are there in 49/4 of a meter? 1225 Convert 52.63221ml to litres. 0.05263221 How many millilitres are there in seven quarters of a litre? 1750 Convert 740537.1 litres to millilitres. 740537100 How many litres are there in 784.0443 millilitres? 0.7840443 How many millilitres are there in 0.1149479 litres? 114.9479 Convert 189.7632 months to years. 15.8136 How many millilitres are there in thirty-seven fifths of a litre? 7400 What is 0.7160547 microseconds in seconds? 0.0000007160547 How many nanograms are there in three fifths of a microgram? 600 How many milligrams are there in 9.474407t? 9474407000 What is 2229357.6 months in centuries? 1857.798 Convert 688962.1 litres to millilitres. 688962100 What is 4.130995um in meters? 0.000004130995 How many months are there in 3/16 of a century? 225 How many millilitres are there in 4691.726l? 4691726 What is 3/25 of a kilogram in grams? 120 What is 1/5 of a millennium in months? 2400 What is 603.1532ng in kil
{ "pile_set_name": "DM Mathematics" }
it of 2112760? 2 What is the ten thousands digit of 2063917? 6 What is the units digit of 13753435? 5 What is the thousands digit of 1326028? 6 What is the units digit of 677971? 1 What is the hundred thousands digit of 568637? 5 What is the hundreds digit of 2731? 7 What is the hundreds digit of 485984? 9 What is the thousands digit of 1084241? 4 What is the ten thousands digit of 457512? 5 What is the units digit of 712557? 7 What is the hundreds digit of 387163? 1 What is the ten thousands digit of 5065192? 6 What is the millions digit of 1404018? 1 What is the hundred thousands digit of 155936? 1 What is the ten thousands digit of 625820? 2 What is the ten thousands digit of 6667167? 6 What is the units digit of 266782? 2 What is the units digit of 4197776? 6 What is the hundred thousands digit of 8774500? 7 What is the ten thousands digit of 64713? 6 What is the hundreds digit of 285783? 7 What is the hundreds digit of 141512? 5 What is the thousands digit of 275523? 5 What is the tens digit of 1557106? 0 What is the hundred thousands digit of 653064? 6 What is the thousands digit of 1229181? 9 What is the hundreds digit of 1944272? 2 What is the tens digit of 26812729? 2 What is the hundreds digit of 1236687? 6 What is the units digit of 4867338? 8 What is the units digit of 5578734? 4 What is the hundred thousands digit of 441646? 4 What is the hundred thousands digit of 7916646? 9 What is the ten thousands digit of 142097? 4 What is the ten thousands digit of 221886? 2 What is the thousands digit of 1983491? 3 What is the millions digit of 20070743? 0 What is the hundreds digit of 1439306? 3 What is the ten millions digit of 12244045? 1 What is the units digit of 2414030? 0 What is the units digit of 7979511? 1 What is the tens digit of 12294? 9 What is the thousands digit of 392860? 2 What is the hundreds digit of 3692845? 8 What is the units digit of 468728? 8 What is the millions digit of 4844439? 4 What is the tens digit of 2084422? 2 What is the hundred thousands digit of 220648? 2 What is the thousands digit of 8049? 8 What is the hundred thousands digit of 2059405? 0 What is the units digit of 1005079? 9 What is the thousands digit of 529338? 9 What is the hundred thousands digit of 234999? 2 What is the thousands digit of 3401124? 1 What is the ten thousands digit of 1031183? 3 What is the tens digit of 372902? 0 What is the tens digit of 23900360? 6 What is the units digit of 199616? 6 What is the hundreds digit of 16741? 7 What is the units digit of 670397? 7 What is the hundreds digit of 503215? 2 What is the hundred thousands digit of 12937032? 9 What is the hundreds digit of 1529356? 3 What is the tens digit of 351433? 3 What is the ten thousands digit of 17791177? 9 What is the hundred thousands digit of 7250705? 2 What is the hundreds digit of 59239? 2 What is the ten millions digit of 12110507? 1 What is the tens digit of 35125? 2 What is the thousands digit of 21161699? 1 What is the thousands digit of 215709? 5 What is the hundred thousands digit of 18794851? 7 What is the tens digit of 2780525? 2 What is the millions digit of 2330875? 2 What is the hundred thousands digit of 729167? 7 What is the hundreds digit of 32337? 3 What is the ten thousands digit of 1930773? 3 What is the units digit of 255954? 4 What is the millions digit of 3958133? 3 What is the hundreds digit of 589117? 1 What is the hundred thousands digit of 2482507? 4 What is the thousands digit of 3694754? 4 What is the hundred thousands digit of 4702476? 7 What is the thousands digit of 143669? 3 What is the units digit of 822149? 9 What is the hundred thousands digit of 2790414? 7 What is the hundreds digit of 18971080? 0 What is the units digit of 2051628? 8 What is the hundreds digit of 1993019? 0 What is the thousands digit of 187890? 7 What is the hundreds digit of 4452557? 5 What is the units digit of 1162366? 6 What is the ten thousands digit of 501588? 0 What is the hundreds digit of 24040302? 3 What is the tens digit of 1163546? 4 What is the thousands digit of 7021? 7 What is the tens digit of 3014571? 7 What is the hundreds digit of 895464? 4 What is the hundred thousands digit of 134809? 1 What is the thousands digit of 914273? 4 What is the hundreds digit of 254913? 9 What is the units digit of 5114978? 8 What is the thousands digit of 2764323? 4 What is the hundreds digit of 13355759? 7 What is the tens digit of 376560? 6 What is the millions digit of 7752444? 7 What is the millions digit of 2570174? 2 What is the hundreds digit of 17460790? 7 What is the ten thousands digit of 204682? 0 What is the units digit of 368022? 2 What is the hundreds digit of 300965? 9 What is the thousands digit of 661084? 1 What is the hundreds digit of 72729? 7 What is the tens digit of 357507? 0 What is the hundred thousands digit of 202379? 2 What is the ten thousands digit of 13646? 1 What is the ten thousands digit of 36882832? 8 What is the hundred thousands digit of 182633? 1 What is the tens digit of 1025509? 0 What is the thousands digit of 1883022? 3 What is the thousands digit of 3646894? 6 What is the ten millions digit of 18334283? 1 What is the millions digit of 2068148? 2 What is the hundreds digit of 6334674? 6 What is the hundreds digit of 661526? 5 What is the hundreds digit of 2482193? 1 What is the thousands digit of 6125227? 5 What is the tens digit of 24679303? 0 What is the hundred thousands digit of 471116? 4 What is the units digit of 2939508? 8 What is the ten thousands digit of 370416? 7 What is the ten thousands digit of 347252? 4 What is the units digit of 1636040? 0 What is the hundreds digit of 455747? 7 What is the tens digit of 3894? 9 What is the hundreds digit of 211464? 4 What is the thousands digit of 2236383? 6 What is the units digit of 424621? 1 What is the thousands digit of 2570620? 0 What is the hundreds digit of 15043451? 4 What is the tens digit of 138595? 9 What is the ten thousands digit of 190020? 9 What is the hundred thousands digit of 4964940? 9 What is the hundred thousands digit of 549617? 5 What is the tens digit of 278403? 0 What is the hundred thousands digit of 2044401? 0 What is the units digit of 2555637? 7 What is the tens digit of 95503? 0 What is the units digit of 144439? 9 What is the hundreds digit of 1812952? 9 What is the units digit of 11? 1 What is the millions digit of 1010648? 1 What is the ten thousands digit of 4212700? 1 What is the tens digit of 2300716? 1 What is the tens digit of 9528131? 3 What is the ten thousands digit of 1045441? 4 What is the hundreds digit of 10373810? 8 What is the thousands digit of 884193? 4 What is the hundred thousands digit of 154368? 1 What is the units digit of 618689? 9 What is the hundred thousands digit of 9891544? 8 What is the hundreds digit of 764321? 3 What is the hundreds digit of 208472? 4 What is the thousands digit of 19776162? 6 What is the millions digit of 1344201? 1 What is the ten thousands digit of 1885445? 8 What is the tens digit of 3766596? 9 What is the millions digit of 6345007? 6 What is the thousands digit of 2586470? 6 What is the units digit of 4731917? 7 What is the thousands digit of 6831253? 1 What is the hundreds digit of 1376309? 3 What is the hundreds digit of 1687057? 0 What is the units digit of 863477? 7 What is the units digit of 2344445? 5 What is the units digit of 472750? 0 What is the thousands digit of 147031? 7 What is the hundreds digit of 666827? 8 What is the ten millions digit of 16473618? 1 What is the hundred thousands digit of 527260? 5 What is the units digit of 4123644? 4 What is the units digit of 3604534? 4 What is the thousands digit of 3912571? 2 What is the tens digit of 140603? 0 What is the hundred thousands digit of 1249111? 2 What is the tens digit of 439709? 0 What is the hundreds digit of 1694638? 6 What is the tens digit of 12787906? 0 What is the thousands digit of 3232095? 2 What is the tens digit of 14019440? 4 What is the hundreds digit of 413135? 1 What is the thousands digit of 70340? 0 What is the ten thousands digit of 68056? 6 What is the millions digit of 4236066? 4 What is the thousands digit of 11651? 1 What is the hundreds digit of 31606147? 1 What is the hundred thousand
{ "pile_set_name": "DM Mathematics" }
8, 45*i - 3*l = 43*i + 5867. Calculate the greatest common factor of 391 and i. 23 Let f be 1776/30 - (-64)/80. What is the greatest common factor of f and 345? 15 Let x(t) = 3*t**2 - 80*t - 539. Let a be x(-26). Calculate the highest common divisor of 86 and a. 43 Suppose -77 = -b + 4*q, 2*b - 4*q + 7 = 149. Suppose -3*d = f - 2336, 2*d = -4*f + 8*f + 1576. What is the greatest common divisor of d and b? 65 Let o = 43228 + -42604. Calculate the greatest common divisor of 1131 and o. 39 Let w = -23805 + 23823. What is the highest common factor of 13302 and w? 18 Let h(q) = q**3 + 125*q**2 + 361*q - 30. Let z be h(-122). Calculate the greatest common factor of 180 and z. 20 Let t(p) = -p**3 + p**2 + p + 3. Let i = 65 + -65. Let u be t(i). Let l be (-1)/7 + 22/7 + 0. What is the highest common factor of l and u? 3 Let y(q) = 149*q - 9503. Let t be y(72). Calculate the greatest common factor of t and 4165. 245 Let m = 5611 + -5493. What is the greatest common divisor of 826 and m? 118 Let i(k) = k**2 - 2*k - 14. Let u be i(-6). Let z(c) = -2*c**2 + 68*c + 33. Let r be z(u). What is the highest common factor of 11 and r? 11 Let u(x) = -3*x + 20. Let t be u(4). Suppose 263*h = k + 260*h - 335, 2*k - 4*h = 676. Calculate the greatest common divisor of t and k. 8 Let w be -17*1*(3 + 0 + -4). Let b = 16 - w. Let k be (30/1 + b)*(6 - -5). Calculate the highest common divisor of 29 and k. 29 Suppose 12*s = 2*s + 80. Suppose 0 = s*v - 1409 - 1631. Calculate the highest common factor of v and 20. 20 Suppose 0 = 5*z, -z - 108 = -0*w - w. Suppose 0 = -483*x + 299*x + 2208. What is the highest common factor of x and w? 12 Suppose 0 = p + 2*p - 2*u + 386, 289 = -2*p - 5*u. Let k = p - -294. Let c = 9502 - 9484. Calculate the greatest common divisor of k and c. 18 Let n be (4/5)/(2/55). Suppose 16*y + 56*y - 402 = 5*y. What is the greatest common divisor of n and y? 2 Let z = 97 + 121. Suppose -3*l + z = -3*c + c, 230 = 3*l - 5*c. Let p(v) = -3*v - 1. Let o be p(-5). Calculate the greatest common divisor of o and l. 14 Suppose m - 578 = -2*x, -5*x + 1939 - 461 = -3*m. What is the highest common factor of 44 and x? 4 Let m(v) = v**3 + 10*v**2 + 3*v + 12. Let j be (-74)/8 - 13/(-52). Let i be m(j). Calculate the greatest common factor of 77 and i. 11 Let y be 6/(-20) - ((-7947)/90)/1. Calculate the highest common divisor of 484 and y. 44 Let q(a) = 2*a**3 - 8*a**2 - 10*a + 6. Let b be q(7). What is the greatest common factor of b and 1265? 115 Suppose 2*l - 622 = -108. Suppose 0 = -5*m - 5*r + 335, 35 + 150 = 3*m - 5*r. Let g = l - m. What is the greatest common factor of 24 and g? 24 Let h = -376 - -387. Let c(g) = -g**2 - 15*g + 5. Let r be c(-11). Suppose 5*k = 6 + r. What is the highest common divisor of h and k? 11 Suppose o - 765 = 1923. Suppose 8*v = -13*v + o. Calculate the greatest common divisor of 96 and v. 32 Let u(l) = -l**3 + 19*l**2 - 17*l + 2. Let s be u(18). Suppose 10 = 2*o - j, o + 6*j - 5*j = 2. Calculate the highest common factor of o and s. 4 Let s(c) = 2*c**3 + 49*c**2 - 30*c - 35. Let j(x) = 5*x - 70. Let a be j(9). Let m be s(a). Calculate the greatest common factor of 54 and m. 18 Let s = -421 - -469. Calculate the greatest common factor of 384 and s. 48 Let t(w) = -8*w**3 + 260*w**2 - 72*w + 64. Let c be t(32). Calculate the greatest common divisor of c and 29. 29 Suppose 0 = -6*n + 9 + 69. Suppose -99 = -n*c + 2*c. Let b(y) = 2*y - 13. Let g be b(c). What is the highest common divisor of 65 and g? 5 Let z(i) = 97*i - 1981. Let c be z(33). Calculate the greatest common divisor of c and 20. 20 Let z = 1114 - 1081. Let j be 2 + (-1424)/(-4) + 5. Calculate the highest common divisor of z and j. 33 Let d(p) = -9*p - 189. Let x be d(-28). What is the greatest common factor of 1638 and x? 63 Let a be (-2)/17 - (-12600)/170. Let c = 93 + a. Suppose 0 = -11*p + c + 31. What is the highest common divisor of 144 and p? 18 Suppose 5*o = -u + 1985, -o + 3*u - u + 386 = 0. Let z = -700 + o. Let r be (-2 + 34/8)/((-4)/z). Calculate the highest common divisor of r and 19. 19 Suppose -5*u + 4*p + 78513 = 0, -2*p - 28331 - 50188 = -5*u. Calculate the greatest common factor of u and 45. 45 Let f = -89 - -62. Let u = 43 + f. Suppose 6 = 2*w - x, 4*w = -0*x + x + u. Calculate the greatest common factor of w and 10. 5 Let o = 215 + -192. Suppose -b + 3*a = -o, -7*b + 12*b = a + 59. What is the highest common factor of b and 1? 1 Let h(p) = -8*p + 60 + 36 - 66. Let y be h(-5). Suppose 2*x = -k + 40 + y, -3*k - 5*x + 330 = 0. What is the highest common factor of 11 and k? 11 Let v(l) = 4*l - 23. Let j be v(6). Let a be (-5)/(-2)*(0 + 2). Let x be (3*a/(-30))/(j/(-62)). Calculate the greatest common factor of x and 341. 31 Suppose -5*b + 45 = l, -5*l + 83 + 122 = 5*b. What is the greatest common divisor of l and 510? 10 Suppose v = -4*p + 50, -108*v + 109*v - 17 = -p. Let l = 36 - 14. What is the greatest common factor of l and p? 11 Let q = -184 + 189. Suppose 0 = -31*v + 34*v + 2*m - 200, -m - 355 = -q*v. Calculate the greatest common divisor of 175 and v. 35 Suppose 43860 = 128*h - 2220. Calculate the highest common factor of h and 3120. 120 Suppose -5*s = -4*s - 6. Suppose -10*f = 8*f - 17334. Let m = f - 915. Calculate the highest common divisor of m and s. 6 Suppose 0 = -n + i + 9, 9*i + 27 = -n + 19*i. Suppose 3*s + s - 572 = 0. Calculate the greatest common factor of n and s. 13 Let o be (-7 - -2)/(45/(-15) - 1306/(-436)). Calculate the highest common divisor of o and 30. 10 Let d be 0*((-5)/(-7 + 2))/(-2). Suppose 3*z = t + 961, d = 2*z + t - 117 - 517. Suppose -87 = -7*k + 4*k. Calculate the greatest common factor of k and z. 29 Let s = 3229 + -3114. Calculate the greatest common factor of 368 and s. 23 Suppose 351 = 14*z + 57. What is the greatest common factor of 609 and z? 21 Let p(r) = -5*r**2 - 549*r + 316. Let n be p(-109). Calculate the highest common factor of 240 and n. 16 Let c = 350 - 507. Let v = c + 178. What is the highest common divisor of v and 28? 7 Suppose 4570 = 109*b - 8510. What is the highest common factor of b and 384? 24 Let y = 2155 + -1511. Suppose 57*z - y = 56*z. Calculate the greatest common factor of z and 92. 92 Let l be (-2 - 262)/(24/(-36)). Suppose -88*h + 82*h + l = 0. Suppose -5*n = 2*f - 485, 4*n - n - 4*f = 317. Calculate the greatest common divisor of n and h. 33 Let g(y) be the second derivative of 5/2*y**2 + 1/20*y**5 + 5/6*y**3 + 1/3*y**4 - 6*y + 0. Let r be g(-2). Calculate the greatest common divisor of 15 and r. 3 Suppose 31*h - 17679 = -17307. Calculate the greatest common divisor of h and 33564. 12 Suppose 43*o - o - 15778 - 4970 = 0. Calculate the highest common divisor of 532 and o. 38 Let g(l) = -5*l**2 - 8*l + 13. Let q be g(-4). Let s = -27 - q. Calculate the greatest common divisor of 4 and s. 4 Let o = -98 - 5. Let m = o - -123. Let z = m - -40. Calculate the highest common factor of z and 20. 20 Let c be 1*-4*11/(-4). Suppose -26*x + 690 = -31*x. Let y = -127 - x. Calculate the highest common factor of y and c. 11 Let y = -285 - -277. Let b(k) = -k**3 - 7*k**2 - 3*k + 8. Let r be b(y). Calculate the greatest common factor of r and 84. 12 Let i be (308/12)/((-3)/(-9)). Let p(y) = -y + 16. Let w be p(5). Calculate the greatest common factor of i and w. 11 Let q = -2966 - -3296. Calculate the greatest common divisor of 930 and q. 30 Let r = 14094 - 14031. What is the greatest common factor of 7203 and r? 21 Let z be (-141 - -35)/((-3)/(-27)*-3). Calculate the greatest common factor of z and 6. 6 Let s be 2*-188*8/(6 + 2). Let n = s + 387. Let a = 115 + 6. What is the greatest common divisor of n and a? 11 Let b be (-5 - -1)*(-61 - -60). Suppose -4*c + b*t + 16 = 0, -3*c + 5*t = -0*c - 8. What is the greatest common divisor of c and 282? 6 Suppose 9*k + 352 = 981 + 991. Calculate the greatest common divisor of k and 675. 45 Suppose -n = -10*n + 551 + 79. Calculate the highest common divisor of n and 5495. 35 Let p be ((-84)/(-18))/(2/(-324)*-3). Let d(l) = -24 - 6*l**2 + 3*l**2 + 16*l + l**2 + l**2. Let h be d(10). Calculate the highest common divisor of h and p. 36 Let c(g) = 5633*g**2 - 101*g - 315. Let x be c(-3). What is the highest common factor of x and 93? 93 Suppose -4*p - 374 = -5*b, 2
{ "pile_set_name": "DM Mathematics" }
+ 4*r**2. -2*r**2*(r - 2) Factor d**3/3 - 7*d**2/3. d**2*(d - 7)/3 Solve -3*q**5 - 12*q**4 + 24*q**3 + 42*q**2 - 21*q - 30 = 0 for q. -5, -1, 1, 2 Solve -2*x**3/7 - 4*x**2 - 18*x/7 + 360/7 = 0. -12, -5, 3 Find t such that -2*t**3 + 22*t**2 + 50*t + 26 = 0. -1, 13 Solve -2*p**3/5 + 46*p**2/5 + 8*p/5 - 184/5 = 0. -2, 2, 23 Determine v so that -v**5 - 18*v**4 - 60*v**3 - 56*v**2 = 0. -14, -2, 0 Factor 2*c**3/7 - 12*c**2/7 + 22*c/7 - 12/7. 2*(c - 3)*(c - 2)*(c - 1)/7 Solve d**2/4 - 9*d/4 - 5/2 = 0 for d. -1, 10 What is b in -5*b**4 - 285*b**3 - 4465*b**2 - 11475*b - 7290 = 0? -27, -2, -1 Factor -30*v**2/11 - 44*v - 64/11. -2*(v + 16)*(15*v + 2)/11 Let -2*z**5/13 + 8*z**4/13 + 102*z**3/13 + 188*z**2/13 - 56*z/13 - 240/13 = 0. Calculate z. -3, -2, 1, 10 Factor 20*s**4 - 120*s**3 + 105*s**2 - 25*s. 5*s*(s - 5)*(2*s - 1)**2 Factor j**4 + 6*j**3 - j**2 - 6*j. j*(j - 1)*(j + 1)*(j + 6) Suppose 2*i**2 - 856*i + 91592 = 0. Calculate i. 214 Solve -3*o**3 - 11*o**2 + 4*o = 0 for o. -4, 0, 1/3 Let 2*o**3/7 - 146*o**2/7 + 144*o/7 = 0. Calculate o. 0, 1, 72 Suppose 75*f**2 - 7440*f + 184512 = 0. What is f? 248/5 Suppose -2*x**5 + 90*x**4 - 958*x**3 - 1418*x**2 + 3864*x + 4232 = 0. What is x? -2, -1, 2, 23 Suppose -3*h**3 + 465*h**2 - 18249*h + 17787 = 0. What is h? 1, 77 Solve -5*q**5 + 10*q**4 + 35*q**3 + 20*q**2 = 0. -1, 0, 4 Suppose -y**5/2 - 6*y**4 - 15*y**3 - 14*y**2 - 9*y/2 = 0. What is y? -9, -1, 0 Find m, given that 35*m**3 + 255*m**2 - 560*m - 180 = 0. -9, -2/7, 2 Suppose -3*n**2 + 327*n - 6300 = 0. What is n? 25, 84 Factor 3*m**4 - 27*m**3 - 30*m**2. 3*m**2*(m - 10)*(m + 1) Factor -2*y**2/11 - 58*y/11 + 60/11. -2*(y - 1)*(y + 30)/11 What is p in -2*p**4/11 - 28*p**3/11 - 82*p**2/11 + 112*p/11 = 0? -8, -7, 0, 1 Solve -i**2/3 + 3*i + 112/3 = 0. -7, 16 Determine v so that -4*v**4/9 - 34*v**3/9 - 4*v**2 + 190*v/9 + 100/9 = 0. -5, -1/2, 2 Factor 2*q**2/9 - 2*q/9. 2*q*(q - 1)/9 Determine h so that h**2 - 296*h + 21904 = 0. 148 Factor -7*n**2 + 68*n + 20. -(n - 10)*(7*n + 2) Find k such that -14*k**3 - 66*k**2 + 216*k - 56 = 0. -7, 2/7, 2 Determine o, given that -5*o**4/7 + 1662*o**3/7 - 140089*o**2/7 + 46860*o - 108900/7 = 0. 2/5, 2, 165 Solve w**3 + 192*w**2/5 - 527*w/5 + 246/5 = 0. -41, 3/5, 2 Let -4*n**4/9 - 203*n**3/9 - 815*n**2/3 + 3328*n/9 - 676/9 = 0. What is n? -26, 1/4, 1 Factor -2*f**2 + 676*f - 57122. -2*(f - 169)**2 Factor -12*y**4/5 - 783*y**3 - 319806*y**2/5 - 79707*y/5. -3*y*(y + 163)**2*(4*y + 1)/5 Suppose -2*f**4/9 + 14*f**3/9 + 2*f**2/9 - 14*f/9 = 0. Calculate f. -1, 0, 1, 7 Factor -j**3 + 3361*j**2 - 2822399*j - 2825761. -(j - 1681)**2*(j + 1) Solve f**4/3 + 46*f**3/9 + 55*f**2/9 - 16*f/9 - 28/9 = 0 for f. -14, -1, 2/3 Factor 2*q**2/7 - 2*q/7 - 12/7. 2*(q - 3)*(q + 2)/7 Factor -3*w**4/4 + 855*w**3/4 - 5049*w**2/4 + 7533*w/4. -3*w*(w - 279)*(w - 3)**2/4 Solve -32*i**4 - 752*i**3 - 4946*i**2 - 6204*i - 2178 = 0 for i. -11, -3/4 Find s, given that 3*s**4/8 + 159*s**3/8 + 309*s**2/8 + 153*s/8 = 0. -51, -1, 0 Solve j**2 + 1786*j + 797449 = 0 for j. -893 What is i in -14*i**5/5 - 17*i**4/2 - 17*i**3/2 - 5*i**2/2 + i/2 + 1/5 = 0? -1, -2/7, 1/4 Suppose 3*s**4 + 24*s**3 - 129*s**2 + 174*s - 72 = 0. What is s? -12, 1, 2 Determine u so that 3*u**2 + 11580*u = 0. -3860, 0 Factor 9*p**2/7 - 2545*p/7 - 566/7. (p - 283)*(9*p + 2)/7 Factor 2*i**3 + 4040*i**2 - 2*i - 4040. 2*(i - 1)*(i + 1)*(i + 2020) Solve r**3/6 + r**2/3 - 2*r/3 - 4/3 = 0. -2, 2 Factor 4*c**4 - 208*c**3 + 2904*c**2 - 5200*c + 2500. 4*(c - 25)**2*(c - 1)**2 Suppose 3*b**5/2 + 27*b**4/2 + 75*b**3/2 + 81*b**2/2 + 15*b = 0. Calculate b. -5, -2, -1, 0 Factor -2*d**5/3 + 8*d**4 - 44*d**3/3 - 56*d**2 - 98*d/3. -2*d*(d - 7)**2*(d + 1)**2/3 Factor 17*k**3 - 1152*k**2 + 19380*k + 4624. (k - 34)**2*(17*k + 4) Find p, given that 6*p**5/13 - 1328*p**4/13 + 436*p**3/13 + 1328*p**2/13 - 34*p = 0. -1, 0, 1/3, 1, 221 Factor 5*s**2 - 1945*s - 3910. 5*(s - 391)*(s + 2) Factor 3*c**4 - 609*c**3 - 3*c**2 + 609*c. 3*c*(c - 203)*(c - 1)*(c + 1) Find k such that k**3/2 + 98*k**2/5 + 2329*k/10 + 3757/5 = 0. -17, -26/5 Factor -s**2/2 - 403*s - 162409/2. -(s + 403)**2/2 Let 3*p**5/5 + 18*p**4/5 + 33*p**3/5 + 18*p**2/5 = 0. What is p? -3, -2, -1, 0 Let 3*k**2 + 330*k/7 - 96/7 = 0. Calculate k. -16, 2/7 Suppose -w**5 + 13*w**4 + 53*w**3 - 577*w**2 - 2552*w - 1936 = 0. Calculate w. -4, -1, 11 Suppose 2*q**4/9 - 4*q**3 + 224*q**2/9 - 60*q + 350/9 = 0. What is q? 1, 5, 7 Solve 4*n**2 + 56944*n + 202663696 = 0. -7118 Find u, given that 2*u**2 + 26*u + 24 = 0. -12, -1 Solve 2*k**3/7 - 94*k**2/7 + 1056*k/7 + 1152/7 = 0. -1, 24 Factor 5*l**2 - 26*l + 169/5. (5*l - 13)**2/5 Let a**4 - 137*a**3 + 128*a**2 + 1100*a - 1632 = 0. Calculate a. -3, 2, 136 Let r**4/2 - 21*r**3 - 135*r**2/2 - 2*r + 90 = 0. What is r? -2, 1, 45 Find t, given that t**5/5 - 3*t**4/5 - t**3 + 3*t**2/5 + 4*t/5 = 0. -1, 0, 1, 4 Solve -2*t**4/3 - 6*t**3 - 2*t**2 + 290*t/3 + 200 = 0 for t. -5, -3, 4 Factor -4*b**3/9 + 1864*b**2/9 + 4*b/9 - 1864/9. -4*(b - 466)*(b - 1)*(b + 1)/9 Suppose 4*y**2 - 980*y + 1944 = 0. What is y? 2, 243 What is f in -f**3/3 - 1585*f**2 - 1883376*f + 5654884/3 = 0? -2378, 1 Determine p, given that 3*p**3 - 171*p**2/4 + 165*p/2 - 18 = 0. 1/4, 2, 12 Factor o**3/5 + 41*o**2/5 - o/5 - 41/5. (o - 1)*(o + 1)*(o + 41)/5 Let -m**4 - 2*m**3 + 9*m**2 + 2*m - 8 = 0. What is m? -4, -1, 1, 2 Let -5*t**3 + 5*t**2 + 10*t = 0. What is t? -1, 0, 2 Solve -w**3/4 - 211*w**2 + 845*w/4 = 0 for w. -845, 0, 1 Determine x, given that -2*x**4 - 30*x**3 + 6*x**2 + 94*x + 60 = 0. -15, -1, 2 Factor 2*a**3 + 28*a**2 - 144*a. 2*a*(a - 4)*(a + 18) Factor -4*o**4/3 - 4*o**3/3 + 24*o**2 + 208*o/3 + 160/3. -4*(o - 5)*(o + 2)**3/3 Factor -p**5/9 - 49*p**4/9 + 17*p**3 - 155*p**2/9 + 52*p/9. -p*(p - 1)**3*(p + 52)/9 Factor -k**4/9 + k**3/3 - 2*k**2/9. -k**2*(k - 2)*(k - 1)/9 Determine o so that -4*o**4 - 88*o**3 - 304*o**2 - 288*o = 0. -18, -2, 0 Let 135*f**2 - 672*f - 15 = 0. What is f? -1/45, 5 Find u, given that u**4/10 + 12*u**3/5 - 31*u**2/10 - 15*u = 0. -25, -2, 0, 3 Factor 2*z**2/3 - 4*z/3 - 16/3. 2*(z - 4)*(z + 2)/3 Factor 2*p**4 - 36*p**3 + 66*p**2 + 968*p. 2*p*(p - 11)**2*(p + 4) Let -j**4 + 33*j**3 = 0. What is j? 0, 33 Determine d so that 4*d**4 + 4*d**3 - 148*d**2 + 140*d = 0. -7, 0, 1, 5 Determine a so that 3*a**5 + 81*a**4 + 729*a**3 + 2415*a**2 + 1764*a = 0. -12, -7, -1, 0 Factor 3*h**4 + 939*h**3 + 73938*h**2 + 71136*h - 146016. 3*(h - 1)*(h + 2)*(h + 156)**2 Factor 6*z**3 + 49*z**2 - 46*z - 9. (z - 1)*(z + 9)*(6*z + 1) Factor -2*b**4/3 - 110*b**3 - 218*b**2 - 326*b/3. -2*b*(b + 1)**2*(b + 163)/3 Factor -9*o**2 - 88*o/5 + 4/5. -(o + 2)*(45*o - 2)/5 Solve -z**4/8 + 3*z**3/2 + 13*z**2/8 = 0 for z. -1, 0, 13 Factor -m**2/8 - 153*m/2. -m*(m + 612)/8 Suppose -5*q**3 - 10*q**2 + 15*q = 0. What is q? -3, 0, 1 Solve -585*x**2 - 6441*x - 66 = 0. -11, -2/195 Solve 2*u**5/7 - 6*u**4/7 - 2*u**3/7 + 2*u**2 - 8/7 = 0 for u. -1, 1, 2 Factor -2*b**5/9 + 2*b**4/9 + 4*b**3/3 - 28*b**2/9 + 22*b/9 - 2/3. -2*(b - 1)**4*(b + 3)/9 Factor 2*m**5/3 + 118*m**4/3 + 1798*m**3/3 + 1682*m**2/3. 2*m**2*(m + 1)*(m + 29)**2/3 Find j, given that -j**3/6 - 77*j**2/2 + 155*j/2 - 233/6 = 0. -233, 1 Factor 135*l**2 + 10*l. 5*l*(27*l + 2) What is u in -25*u**5/2 + 725*u**4/2 - 2798*u**3 + 2392*u**2 + 448*u - 392 = 0? -2/5, 2/5, 1, 14 Solve 5*d**5 - 25*d**4 - 75*d**3 + 25*d**2 + 70*d = 0 for d. -2, -1, 0, 1, 7 Let -3*i**4 + 294*i**3 - 7491*i**2 + 14112*i - 6912 = 0. What is i? 1, 48 Factor l**2/6 - 46*l/3. l*(l - 92)/6 Factor -2*o**2 + 442*o + 3192. -2*(o - 228)*(o + 7) Factor f**2 - 1673*f. f*(f - 1673) Factor -41*q**2/3 - 2*q/3. -q*(41*q + 2)/3 Factor 68*h**3 - 72*h**2 + 4*h. 4*h*(h - 1)*(17*h - 1) Let -3*o**2 - 1398*o - 162867 = 0. What is o? -233 Determine f so that -f**4 + 48*f**3 - 181*f**2 + 222*f - 88 = 0. 1, 2, 44 Let -c**2/5 - 56*c/5 + 116/5 = 0. Calculate c. -58, 2 Factor -2*r**2/5 - 14*r/5. -2*r*(r + 7)/5 Let 2*a**4 + 126*a**3 + 462*a**2 - 590*a = 0. Calculate a. -59, -5, 0, 1 Factor -2*n**2/5 - 48*n/5 + 104/5. -2*(n - 2)*(n + 26)/5 Solve -3*n**2 + 87*n - 300 = 0 for n. 4, 25 Factor -2*n**2/3 + 188*n/3 - 62. -2*(n - 93)*(n - 1)/3 Factor -6*v**2/11 - 58*v/11 + 20/11. -2*(v + 10)*(3*v - 1)/11 Let -2*k**4/3 + 6*k**3 - 22*k**2/3 - 14*k = 0. Calculate k. -1, 0, 3, 7 Suppose 3
{ "pile_set_name": "DM Mathematics" }
? (a) p (b) -5 (c) f a Let p = 4 - 8. Which is the third smallest value? (a) 5 (b) 3 (c) 0.3 (d) p b Let l = -20.5 + 3.5. Let x = l - -10. Let v = x - -4. What is the smallest value in 2, 0.3, v? v Let n = 0 - -4. Let s = 3.6 - n. Which is the second smallest value? (a) s (b) 1 (c) -3/4 a Let k(g) = g - 6. Let c be k(2). What is the third biggest value in 4, c, -0.1, 5? -0.1 Let n = -0.02 - -0.02. Let g = -0.4 + n. Which is the biggest value? (a) g (b) -0.5 (c) -0.6 a Let k = 2.06 - 0.06. Let l = -0.048 + -0.052. What is the second biggest value in 3, k, l? k Let o be (-6 - -7)/((-2)/8). Let d = 1 + -1.6. What is the second biggest value in d, o, 0.3? d Let t = -2 - -3. Let k be (1/(-2))/(t/4). Suppose -6*o + 3*o = 15. What is the second biggest value in o, -3, k? -3 Let x = -42 - 7. Let t = -91 - x. Let z be (-4)/t*9/6. Which is the second biggest value? (a) 2/5 (b) z (c) -2 b Let x = 123 + -128. Which is the biggest value? (a) -1 (b) x (c) -17 a Let r be 20/(-15) - 11/(-6). Which is the third smallest value? (a) 1/4 (b) 1/5 (c) r (d) -5 a Let g = 0.9 + -0.98. Let x = g + -2.92. Which is the smallest value? (a) 4/7 (b) -5 (c) x b Let n(w) = w - 6. Let t be n(7). Let r be t/4*-1 - 0. Let k = 1024/845 - 2/169. Which is the third smallest value? (a) 5 (b) r (c) k a Let y = -10 + 20. Let r = -10 + y. Which is the second smallest value? (a) -3 (b) r (c) 1/2 b Let o be (-2)/(-8) + (-110)/120. Let n be (3/7)/(3/(-2)). Let d = -4.4 + 4. Which is the biggest value? (a) o (b) n (c) d b Let m = -0.3 - 1.7. Let n = 0.9 + -1.2. Which is the biggest value? (a) m (b) -7 (c) n c Let q = 38/75 + 4/25. What is the second smallest value in q, 2, 3, -0.3? q Let o be (-228)/(-54) - 4/18. Let i(g) = g + 1. Let n be i(o). Let z be 3 + -2 + (-9)/n. Which is the third smallest value? (a) -0.4 (b) 2/3 (c) z b Let l = 11 + -89/8. What is the third smallest value in -0.1, 0, l? 0 Let v(d) = -d**2 + 3*d - 2. Let j be v(2). Suppose 0 = -j*o - 2*o + 10. Let r = 100 - 1302/13. Which is the smallest value? (a) -0.2 (b) o (c) r a Let n be (-354)/(-690)*(-8)/(-6). Let p = 2/115 - n. Which is the second smallest value? (a) 1 (b) p (c) -2 b Let a be 4 - 20/(4 + -8). Let q be (-36)/a + 2*2. What is the second biggest value in q, -3, 1? q Let v = 0.03 - 2.03. Let m(t) = t + 14. Let r be m(-11). Which is the third biggest value? (a) -0.3 (b) r (c) v c Let f = -6.1 - 0.9. Let a = -7.2 - f. What is the third smallest value in 2, -3, a? 2 Let t = -0.8 + -4.2. Let l = -23/66 - -2/11. Which is the biggest value? (a) 1 (b) l (c) t a Let p = 2.4 + -2.95. Let x = p + -7.15. Let o = x - -8. Which is the third smallest value? (a) 1 (b) -5 (c) o a Suppose 4*n = 20, y + 5*n = 11 + 12. Let d be y/8 - (-7)/(-20). Let u = 26/9 + -28/9. Which is the biggest value? (a) d (b) u (c) 0.5 c Let f = 0.2 - 0.6. Let r be 1/(-1) + -4 + 1. Let t = -50/9 - -173/36. Which is the smallest value? (a) t (b) f (c) r c Let m = -18.8 - -19. Which is the second biggest value? (a) -3 (b) m (c) 5 b Suppose 0 = -4*v - 1 - 15. What is the second biggest value in 0.3, -0.4, v? -0.4 Let l = 0.9 - 0.9. Which is the biggest value? (a) 0.1 (b) -3 (c) l a Let j be 32/(-39) - (-78)/117. Which is the biggest value? (a) -5 (b) 2/9 (c) j b Suppose 5 = 3*g - 4*z - 2, -2*g - 5*z - 26 = 0. Which is the second smallest value? (a) g (b) 0.2 (c) 4 (d) -3/2 d Let n be 26/6 - (-4)/6. Suppose 0 = k - 0 - n. Let a be (6/9)/((-8)/60). What is the biggest value in 3, k, a? k Let x = -27.2 - -27. What is the smallest value in -5/4, x, -1? -5/4 Let n be (12/54)/((-2)/(-3)). Let q = 0.07 - 0.37. What is the third biggest value in 3, q, n? q Let j be 5/55*-2 + (-84)/22. Let u = -5.4 + 5. Let x = -0.1 + u. What is the third smallest value in j, x, 2/3? 2/3 Let i = 40 + -39.6. Let g = -0.05 - -3.05. Which is the smallest value? (a) i (b) -4 (c) g b Let i be 2/3*((-16)/4)/(-8). Let c be 2/(-11)*1/2. What is the third smallest value in i, c, -1? i Let s = -70 - -70.1. What is the third biggest value in -3/7, -1, -1/11, s? -3/7 Let v = -0.3 - -0.1. Let w = -0.1 - v. Let o = 14 - 11. What is the third biggest value in 0.2, w, o? w Let f = 4 + 4. Let n = f + -8. Which is the smallest value? (a) -5 (b) n (c) -1 a Let l = 1 + 3. Let k = 0 + -0.1. Which is the third smallest value? (a) k (b) 0.2 (c) l c Let u = 11.3 + -10.3. What is the third smallest value in -0.03, u, 0.4? u Suppose -n - 2*z - 1 = -2, -3*n = -3*z + 6. Let m be 1/(n/3)*1. Let d = -0.15 + -0.25. What is the biggest value in m, 4, d? 4 Let t = 0.91 + 0.09. Let d = -0.7 + t. Suppose -5*z - 1 = 24. Which is the third smallest value? (a) d (b) z (c) -2 a Let w = -5 - -6. Let m be 1/w*(-3 + 8). Suppose -2*t + 12 = -m*i + 2*t, 6 = 2*t. Which is the second smallest value? (a) -1 (b) 3 (c) i c Let j = -0.006 + -1.994. Let v = 11 - 8. Which is the third smallest value? (a) v (b) j (c) 3/8 a Let r = -135 - -134.9. Which is the third smallest value? (a) -3 (b) -0.2 (c) r c Let g(u) = -u + 12. Let y be g(16). Which is the biggest value? (a) 2 (b) y (c) -1 (d) 4 d Let g = 0.6 - 0.2. Let u = g - 0.4. Let d(m) = -m**3 - 4*m**2 - 3*m + 3. Let f be d(-3). Which is the biggest value? (a) -0.1 (b) f (c) u b Let m = 15 + -15. Which is the second biggest value? (a) 2/15 (b) 2/19 (c) m b Let u = -1.3 + 0.3. Let j = 38.6 + -39. Let g = 0.3 + -0.2. What is the second smallest value in u, j, g? j Let d = -19 + 10. Let s = -5 - d. Let g = s + -7. Which is the second biggest value? (a) 5 (b) -0.3 (c) g b Let m = 327/22 - 4/11. Which is the fourth biggest value? (a) m (b) 3 (c) 0.1 (d) -3/7 d Let g(d) = 8 + 0 - d**2 - 10*d + 6. Let l be g(-11). Which is the third smallest value? (a) -2 (b) -1 (c) l c Let g(k) = -k**3 - 6*k**2 + k + 3. Let p be g(-6). Let v = 3.7 + -0.3. Let q = v - 0.4. Which is the smallest value? (a) q (b) p (c) 0.2 b Let w be 2/5 + (-39)/(-15). Let p = 0 + w. Which is the biggest value? (a) 1/2 (b) 1 (c) p c Suppose 2*f - 9 = 3*f. Let r be (-6)/f + (-32)/60. Let s = 4.93 - -0.07. Which is the third biggest value? (a) r (b) s (c) 3 a Suppose -8 = -2*p + m, 0*p - 18 = p + 5*m. Let t be 1/((0 - p) + 1). Which is the third biggest value? (a) 1 (b) t (c) 0.2 b Let f = -0.6 - 2.4. Let k = -3 - f. What is the second smallest value in -1/2, k, 1? k Let k(r) = r**2 - 6*r - 6. Let t be k(6). What is the second biggest value in 3, 0.2, t? 0.2 Let u = -14 + 13. Let n = 0.7 + u. What is the third smallest value in n, -4, -0.1? -0.1 Let j = -0.88 + 0.18. Which is the second smallest value? (a) 3 (b) 0 (c) j b Let t = 0.044 + 4.056. Let j = 0.1 - t. Let g = 40/3 - 13. Which is the third smallest value? (a) g (b) j (c) 0.1 a Let s = -2/129 - -284/1677. Which is the third biggest value? (a) -0.2 (b) s (c) 5 (d) -0.4 a Let y = 0 + 0.2. Suppose 4*q + 2 = 10. Which is the biggest value? (a) y (b) q (c) 1 b Suppose 3*t + x + 17 = 0, -28 = 3*t - t + 4*x. What is the biggest value in 4, t, 7, -1/6? 7 Let u be (-1)/((2/(-3))/(-2)). Let n = -4 + u. Let z = 12 + n. Which is the smallest value? (a) -0.5 (b) z (c) 4 a Suppose -3*m - 22 = 5*q, 3*q + 2 = 4*m - 17. Let c be (-5 - -4)*8/1. Let w = c - -13. What is the second biggest value in 1/2, m, w? m Let q = -158 - -154. Let u = -3 - -1. Which is the second smallest value? (a) q (b) 3 (c) u c Let n = 0 + -7. Let f = -6.5 - n. What is the third smallest value in f, 1/6, 4? 4 Let g be 2/(-16)*(-30)/(-5). Let i be (-9)/11 + (-2)/(-2). Let t = -24 + 28. What is the third biggest value in g, t, i? g Let q = -36 - -11. Suppose 0 = 2*i + u + 5, 0 = 2*i + 4*u - 4. Let y be 10/q*(-15)/i. What is the smallest value in 0.3, y, -3? -3 Let v = -2.059 + -0.001. Let p = v + 0.06. Let r be 2/(-6)*(-4)/3. What is the second smallest value in -4, r, p? p Let q = 12 - 11.6. Which is the second biggest value? (a) -0.3 (b) -3 (c) q a Let x(n) = 2*n**3 - 6*n**2 + n - 3. Let i be x(3). What is the third smallest value in i, -4/9, 3? 3 Let p = 1 - 1.4. Let y = -104 - -101. What is the biggest value in 5, y, p? 5 Let w = 5.7 + -0.7. Let k = 15.1 - 17.1. What is the biggest value in w, k, 0.3? w Let o = -6.5 - -2.5. What is the biggest value in o,
{ "pile_set_name": "DM Mathematics" }
g 1 k and 1 v. 1/3 What is prob of picking 2 h and 2 e when four letters picked without replacement from {t: 2, u: 1, i: 6, e: 2, h: 7}? 7/1020 Calculate prob of picking 1 d and 1 y when two letters picked without replacement from ydyvdyy. 8/21 Four letters picked without replacement from tmmtmmmtttmttmmm. Give prob of picking 4 m. 9/130 Three letters picked without replacement from {g: 2, r: 1, w: 1, s: 1, v: 2}. What is prob of picking 1 w and 2 g? 1/35 Calculate prob of picking 2 f and 1 b when three letters picked without replacement from {f: 8, b: 1, y: 6}. 4/65 What is prob of picking 1 g and 1 f when two letters picked without replacement from {h: 2, g: 7, f: 1}? 7/45 Two letters picked without replacement from ffyyruuorrrurfur. Give prob of picking 1 r and 1 o. 1/20 What is prob of picking 2 v and 1 d when three letters picked without replacement from vdvvvdvvdvvviddddvd? 120/323 Calculate prob of picking 2 g, 1 t, and 1 l when four letters picked without replacement from lglltttgsggslgl. 10/91 Two letters picked without replacement from {g: 1, r: 1, z: 2, h: 1, b: 2, y: 2}. Give prob of picking 2 z. 1/36 What is prob of picking 1 b and 1 n when two letters picked without replacement from {n: 1, f: 4, s: 5, b: 5}? 1/21 Calculate prob of picking 1 s and 1 l when two letters picked without replacement from slwmliwid. 1/18 What is prob of picking 1 x and 1 i when two letters picked without replacement from {y: 1, j: 1, o: 2, i: 2, x: 1}? 2/21 What is prob of picking 4 u when four letters picked without replacement from uuuuuuu? 1 Three letters picked without replacement from {z: 1, e: 4, w: 4, b: 1}. What is prob of picking 2 e and 1 w? 1/5 Two letters picked without replacement from uvvvvmm. What is prob of picking 2 m? 1/21 Calculate prob of picking 2 x and 1 t when three letters picked without replacement from {n: 2, c: 1, t: 1, i: 1, x: 2}. 1/35 What is prob of picking 4 g when four letters picked without replacement from eooeggggexogg? 3/143 Two letters picked without replacement from {s: 3, o: 5, f: 2}. Give prob of picking 2 s. 1/15 Two letters picked without replacement from zgzgzzgzgzgzzzgg. What is prob of picking 2 g? 7/40 Two letters picked without replacement from {w: 2, b: 4, g: 2, r: 2, a: 1, m: 6}. Give prob of picking 2 w. 1/136 What is prob of picking 2 e when two letters picked without replacement from exxxxxxxeh? 1/45 What is prob of picking 1 b, 2 a, and 1 m when four letters picked without replacement from mbamaabbbbabbb? 96/1001 What is prob of picking 2 t and 1 i when three letters picked without replacement from xtktaxtaatgixax? 6/455 Three letters picked without replacement from {n: 2, u: 10, h: 4}. Give prob of picking 2 n and 1 u. 1/56 What is prob of picking 2 k and 1 x when three letters picked without replacement from aakyaxaaakayao? 1/364 Two letters picked without replacement from {a: 1, g: 2, z: 1, y: 1, q: 1, s: 1}. What is prob of picking 1 g and 1 q? 2/21 What is prob of picking 1 k and 2 p when three letters picked without replacement from {k: 6, p: 4, s: 1}? 12/55 What is prob of picking 2 q when two letters picked without replacement from {k: 2, x: 1, j: 1, q: 1}? 0 Four letters picked without replacement from {n: 8, d: 2, p: 9, k: 1}. What is prob of picking 2 n, 1 p, and 1 d? 168/1615 Calculate prob of picking 2 d and 1 n when three letters picked without replacement from nndnddddndndn. 63/143 What is prob of picking 3 q when three letters picked without replacement from qqxqxxxxxqxqgxxqqxq? 56/969 Two letters picked without replacement from qyhyyyyqyyygxhyy. What is prob of picking 1 h and 1 g? 1/60 What is prob of picking 1 c and 2 x when three letters picked without replacement from {c: 1, d: 3, x: 4, f: 6}? 3/182 Calculate prob of picking 1 v and 2 n when three letters picked without replacement from vuuauuvnnnuvuuvwu. 3/170 Two letters picked without replacement from clznjldn. What is prob of picking 2 n? 1/28 Calculate prob of picking 1 h and 1 w when two letters picked without replacement from hxhwxhhxhhhxhhwhxxxh. 11/95 Three letters picked without replacement from {x: 1, e: 4, k: 4, z: 3, w: 2, g: 1}. What is prob of picking 1 x, 1 w, and 1 g? 2/455 Three letters picked without replacement from cjcjccjcjf. Give prob of picking 3 c. 1/12 Four letters picked without replacement from {b: 1, i: 2, q: 3, a: 5, f: 6, p: 3}. What is prob of picking 1 f, 1 i, and 2 a? 8/323 Two letters picked without replacement from qqqq. What is prob of picking 2 q? 1 What is prob of picking 1 k, 1 z, and 1 w when three letters picked without replacement from wkkkzkkwkxzzkzkzkz? 9/68 Four letters picked without replacement from lllllaalllllllllalla. Give prob of picking 2 l and 2 a. 48/323 Two letters picked without replacement from osoqqzosegseosggeeee. Give prob of picking 2 q. 1/190 What is prob of picking 1 y and 1 d when two letters picked without replacement from dmmbmmbbdbmmbmmmyy? 4/153 What is prob of picking 2 t when two letters picked without replacement from ttkbkkkkktbtbtt? 1/7 Calculate prob of picking 1 q, 1 p, and 1 x when three letters picked without replacement from kxqyqhp. 2/35 Calculate prob of picking 1 s and 3 t when four letters picked without replacement from {t: 4, s: 6}. 4/35 Three letters picked without replacement from {j: 17, r: 1, o: 1}. Give prob of picking 1 r and 2 j. 8/57 Three letters picked without replacement from oooooeeeadeod. What is prob of picking 2 e and 1 o? 18/143 What is prob of picking 2 v and 1 m when three letters picked without replacement from mvvvmmuvvmmvvu? 15/52 What is prob of picking 1 j, 1 p, and 1 o when three letters picked without replacement from ppffpoqpjp? 1/24 Two letters picked without replacement from grr. What is prob of picking 2 r? 1/3 Calculate prob of picking 1 n and 1 c when two letters picked without replacement from {c: 2, q: 1, d: 2, n: 4, t: 4, b: 1}. 8/91 Four letters picked without replacement from {f: 12, w: 6}. Give prob of picking 2 w and 2 f. 11/34 What is prob of picking 1 c, 1 l, and 1 i when three letters picked without replacement from {x: 2, i: 1, d: 2, l: 6, c: 6}? 9/170 Three letters picked without replacement from {o: 7, a: 1, w: 5, r: 5}. Give prob of picking 3 o. 35/816 Calculate prob of picking 1 k and 2 b when three letters picked without replacement from kbebb. 3/10 What is prob of picking 1 n and 3 r when four letters picked without replacement from {n: 2, r: 6}? 4/7 What is prob of picking 1 v and 1 k when two letters picked without replacement from mmwmmrmkwvvm? 1/33 What is prob of picking 1 r and 1 y when two letters picked without replacement from ryryryyyx? 5/12 Three letters picked without replacement from wbuuuqubuuwbuubud. Give prob of picking 1 w, 1 b, and 1 u. 9/85 What is prob of picking 1 g, 1 r, 1 w, and 1 s when four letters picked without replacement from rxgwgsssgrxxsggigggx? 64/4845 Calculate prob of picking 1 u and 1 r when two letters picked without replacement from {w: 1, u: 1, r: 6, g: 5, k: 1}. 6/91 Calculate prob of picking 2 x and 1 e when three letters picked without replacement from {s: 2, e: 4, x: 8}. 4/13 Calculate prob of picking 1 g and 1 l when two letters picked without replacement from glglggwwl. 1/3 Calculate prob of picking 1 w and 1 c when two letters picked without replacement from {x: 1, w: 1, f: 4, d: 1, c: 5}. 5/66 What is prob of picking 2 h when two letters picked without replacement from hxzzuhztxvxzvzzthvv? 1/57 What is prob of picking 2 s and 1 q when three letters picked without replacement from ssqqqqqqqq? 1/15 Four letters picked without replacement from {f: 6, z: 4, d: 1, o: 2, j: 2, l: 4}. Give prob of picking 2 l and 2 f. 15/646 Four letters picked without replacement from ioakkoae. What is prob of picking 1 k, 1 i, 1 a, and 1 e? 2/35 Three letters picked without replacement from {f: 5, b: 4, g: 3, s: 1, m: 3, y: 1}. What is prob of picking 1 f, 1 g, and 1 b? 3/34 Four letters picked without replacement from {v: 4}. Give prob of picking 4 v. 1 Three letters picked without replacement from {z: 1, q: 5, l: 1, h: 3, y: 2, d: 3}. Give prob of picking 1 d, 1 l, and 1 q. 3/91 Calculate prob of picking 1 p and 1 b when two letters picked without replacement from {p:
{ "pile_set_name": "DM Mathematics" }
t comes next: 2917, 2913, 2903, 2887, 2865? 2837 What is the next term in -251, -671, -1091, -1511, -1931? -2351 What is the next term in -92, -256, -528, -908, -1396? -1992 What is the next term in 1007, 2152, 3431, 4850, 6415? 8132 What comes next: 56637, 113275, 169913, 226551, 283189? 339827 What comes next: -21154, -21170, -21210, -21286, -21410? -21594 What is the next term in -21956, -21951, -21942, -21929? -21912 What is next in -2674, -11050, -25002, -44524, -69610, -100254? -136450 What is the next term in 12, 19, 54, 129, 256? 447 What is the next term in 17602, 35201, 52798, 70393, 87986, 105577, 123166? 140753 What is the next term in 827, 1662, 2495, 3326? 4155 What is next in 40231, 40233, 40235? 40237 What is the next term in -1324, -2732, -5078, -8362, -12584, -17744? -23842 What is next in 1119, 2254, 4133, 6750, 10099, 14174, 18969, 24478? 30695 What is next in -15925, -15920, -15915? -15910 What comes next: 24, 101, 288, 645, 1232? 2109 What is next in -89, -981, -3403, -8123, -15909, -27529, -43751? -65343 What is the next term in -3976, -3957, -3938, -3919, -3900, -3881? -3862 What is next in -828, -1045, -1262, -1479? -1696 What is next in 9939, 19879, 29819, 39759, 49699? 59639 What is the next term in 2003, 8147, 18387, 32723? 51155 What is next in -10263, -10266, -10269? -10272 What is the next term in -122699, -122701, -122703, -122705, -122707? -122709 What is next in -22297, -22298, -22299? -22300 What is next in -94514, -94503, -94492, -94481, -94470, -94459? -94448 What is next in 114792, 229584, 344376, 459168, 573960, 688752? 803544 What comes next: 1148, 387, -372, -1129, -1884? -2637 What comes next: -30617, -61190, -91677, -122036, -152225? -182202 What is next in -6092, -5929, -5766, -5603, -5440, -5277? -5114 What is next in 9724, 9788, 9960, 10294, 10844, 11664, 12808, 14330? 16284 What comes next: 171, 128, 87, 48? 11 What comes next: 90936, 90894, 90852, 90810, 90768? 90726 What is the next term in 646, 790, 992, 1258, 1594, 2006? 2500 What is next in -965, -1937, -2923, -3923, -4937? -5965 What comes next: 44846, 44877, 44908, 44939, 44970, 45001? 45032 What comes next: -1469, -3154, -5285, -8084, -11773, -16574, -22709? -30400 What is the next term in 5217, 6797, 8377, 9957? 11537 What comes next: 5308, 5341, 5424, 5581, 5836, 6213, 6736? 7429 What is the next term in 5710, 11414, 17118, 22822, 28526, 34230? 39934 What comes next: -236, -139, 22, 247, 536, 889? 1306 What comes next: -63, 88, 239, 390, 541? 692 What comes next: 228, 424, 538, 528, 352, -32, -666, -1592? -2852 What is the next term in -3653, -14601, -32847, -58391, -91233? -131373 What is the next term in 803, 1565, 2253, 2867, 3407, 3873? 4265 What comes next: 3968, 8023, 12080, 16139, 20200? 24263 What is next in -373, -457, -585, -751, -949? -1173 What is next in 15, 175, 335, 495? 655 What is the next term in -68, -510, -1710, -4046, -7896? -13638 What is the next term in 314400, 314405, 314410, 314415, 314420? 314425 What comes next: -9298, -18523, -27748? -36973 What is next in 14018, 14010, 14002, 13994, 13986? 13978 What is next in 1411, 1543, 1763, 2071, 2467, 2951? 3523 What comes next: 426, 1647, 3690, 6567, 10290? 14871 What comes next: 258, 256, 258, 270, 298, 348, 426, 538? 690 What is the next term in 2221, 1997, 1795, 1621, 1481, 1381? 1327 What is next in 6, -30, -140, -360, -726, -1274? -2040 What comes next: -33428, -33408, -33388, -33368, -33348, -33328? -33308 What is next in -464, -924, -1386, -1850, -2316? -2784 What is next in -449, -485, -521, -557, -593? -629 What is the next term in -163, -556, -953, -1354? -1759 What is next in -518, -874, -1230, -1586, -1942, -2298? -2654 What is the next term in 36762, 73519, 110276, 147033? 183790 What is the next term in 639064, 1278110, 1917166, 2556238, 3195332, 3834454, 4473610? 5112806 What comes next: -136, -420, -1006, -2044, -3684, -6076, -9370, -13716? -19264 What is next in 460, 470, 484, 502? 524 What is the next term in 2249, 4109, 5969, 7829, 9689, 11549? 13409 What comes next: -1895, -2438, -2981, -3524, -4067, -4610? -5153 What is next in 11888, 11903, 11918? 11933 What is the next term in 317, 1023, 2195, 3827, 5913, 8447, 11423? 14835 What is the next term in -30197, -120790, -271777, -483158, -754933, -1087102? -1479665 What comes next: -49, 32, 133, 248, 371, 496, 617, 728? 823 What is the next term in 151, 348, 547, 748? 951 What is next in 651, 2958, 6801, 12180, 19095, 27546, 37533? 49056 What is next in 15331, 30678, 46021, 61360? 76695 What is next in -343, -384, -461, -592, -795, -1088? -1489 What is the next term in 117, 558, 1303, 2346, 3681? 5302 What is the next term in -1067, -1741, -2415? -3089 What is next in -1382, -1327, -1272, -1217, -1162? -1107 What is the next term in 1331, 1437, 1543, 1649? 1755 What comes next: 13, 252, 643, 1192, 1905, 2788, 3847? 5088 What is the next term in -25, -919, -3563, -8833, -17605, -30755, -49159, -73693? -105233 What is next in -490, -484, -478, -472, -466, -460? -454 What is the next term in -2111586, -2111585, -2111584, -2111583, -2111582? -2111581 What is next in 392, 374, 354, 332, 308, 282? 254 What comes next: 43, 88, 161, 280, 463, 728, 1093, 1576? 2195 What comes next: -7744, -30939, -69580, -123667, -193200? -278179 What comes next: 47532, 95076, 142620, 190164? 237708 What comes next: -509, -4125, -13941, -33059, -64581, -111609, -177245? -264591 What is next in 113, 939, 3161, 7475, 14577, 25163? 39929 What is next in -104, -431, -1008, -1859, -3008? -4479 What is next in 183, 267, 405, 597, 843, 1143, 1497? 1905 What is the next term in -13925, -27845, -41759, -55667, -69569? -83465 What comes next: 2124, 2121, 2096, 2037, 1932, 1769, 1536? 1221 What is the next term in 18936, 37879, 56824, 75771? 94720 What comes next: -70386, -140764, -211130, -281478, -351802, -422096, -492354, -562570? -632738 What is the next term in 6233, 11934, 17635, 23336? 29037 What is the next term in 203, 1170, 3439, 7550, 14043, 23458, 36335, 53214? 74635 What comes next: 359, 979, 1899, 3119? 4639 What is next in 35047, 35050, 35051, 35050, 35047, 35042? 35035 What is next in -2502, -9909, -22254, -39537, -61758? -88917 What is the next term in 9073, 9018, 8951, 8866, 8757, 8618, 8443, 8226? 7961 What comes next: 1006, 1622, 2234, 2842, 3446, 4046? 4642 What is the next term in -19, -971, -3533, -8509, -16703? -28919 What comes next: -833, -828, -821, -812, -801, -788? -773 What is the next term in 4281668, 8563337, 12845006? 17126675 What is next in 311, 279, 219, 125, -9? -189 What is the next term in -1651, -3401, -5151, -6901, -8651, -10401? -12151 What comes next: -66104, -132169, -198234, -264299? -330364 What is the next term in -182471, -182443, -182403, -182345, -182263, -182151? -182003 What is the next term in -10462, -10447, -10414, -10357, -10270, -10147, -9982? -9769 What is the next term in 11, 88, 241, 476, 799, 1216? 1733 What is next in -20221, -80923, -182085, -323701, -505765, -728271? -991213 What is the next term in 1147, 4531, 10173, 18079, 28255, 40707, 55441? 72463 What is next in 21553, 43101, 64649, 86197, 107745, 129293? 150841 What is the next term in -9315, -18633, -27951, -37269, -46587, -55905? -65223 What comes next: -277, -610, -943? -1276 What is next in -37, 6, 123, 350, 723, 1278? 2051 What is the next term in 195, -607, -1945, -3819? -6229 What is next in 61, -54, -447, -1256, -2619, -4674, -7559? -11412 What is the next term in 1769, 1741, 1665, 1517, 1273, 909, 401, -275? -1143 What comes next: 1149, 4621, 10415, 18531, 28969, 41729, 56811? 74215 What is the next term in 15647, 125131, 422297, 1000985, 1955035? 3378287 What is the next term in -37401, -37395, -37377, -37341, -37281? -37191 What is the next term in 142, 109, 54, -23, -122, -243, -386? -551 What is the next term in 10437, 20934, 31417, 41880, 52317, 62722, 73089, 83412? 93685 What is the next term in 724, 1437, 2122, 2767, 3360, 3889, 4342? 4707 What is the next term in -115638, -231275, -346914, -462555, -578198? -693843 What is the next term in -254, -299, -344? -389 What is the next term in -66, -444, -1096, -2022, -3222? -4696 What is the next term in -30070, -60135, -90198, -120259? -150318 What is
{ "pile_set_name": "DM Mathematics" }
*v. Calculate d(n(c)). 3*c**2 Let i(t) = -1778*t - 112. Let p(c) = -48*c - 3. Let r(b) = 3*i(b) - 112*p(b). Let l(o) = o. What is l(r(f))? 42*f Let u(t) = 14*t - 32*t + 19*t + 10*t. Let v(d) = 2*d. Calculate u(v(w)). 22*w Let v(k) = -k + 1. Let y(m) = -6*m + 3. Let h be 1*(-2 + 1 - 0). Let q be (-176)/(-55) + 1/(-5). Let j(p) = h*y(p) + q*v(p). Let d(b) = b. Calculate j(d(n)). 3*n Let y(z) = -191*z**2. Let l(c) = c**2. Determine l(y(p)). 36481*p**4 Let r(b) = -67*b**2. Let t(u) = 12*u. Calculate t(r(g)). -804*g**2 Let t(o) = 0*o + 0*o - 2*o. Let k(h) = 2*h - 40. What is k(t(z))? -4*z - 40 Let q(h) = h. Let n(c) = -1051*c + 6. What is q(n(f))? -1051*f + 6 Let f(y) be the first derivative of 11*y**2/2 - 50. Let p(k) = 4*k**2. Calculate p(f(v)). 484*v**2 Let b(h) = -4*h. Let z(v) be the second derivative of 5*v**3/6 - 10*v. Give z(b(m)). -20*m Let a(g) = g**2 - 2*g**2 + 4*g**2 - g**2. Let w(p) be the third derivative of 0*p + 1/8*p**4 + 0*p**3 + p**2 + 0. Give a(w(m)). 18*m**2 Let b(r) = -603*r**2 + 9. Let q(m) = m. What is b(q(v))? -603*v**2 + 9 Suppose 0 = c + d - 0 - 2, 18 = 2*c - 5*d. Let q(z) = 4 - c - z**2. Let w(x) be the second derivative of -x**3/6 + 101*x. What is w(q(t))? t**2 Let g(t) = -4*t + 2*t + 3*t. Let l be 4 + (2/(-2))/(-1). Let z(a) = -l + 2*a + 11 - 6. Give z(g(x)). 2*x Let j(g) = -47*g**2. Let r(x) = 3*x. Give r(j(v)). -141*v**2 Let y(z) be the first derivative of -4*z**3/3 - 4. Let n(i) = i. Give y(n(v)). -4*v**2 Let u(f) = -f**2. Let s(c) = 115*c**2. Determine u(s(n)). -13225*n**4 Let d(n) = -3*n**2. Let t(j) be the second derivative of j**4/4 + 12*j. What is d(t(a))? -27*a**4 Let g(a) = 8*a**2. Let b(x) = -x**2 + 2*x + 2. Let z(r) = 5*r**2 - 9*r - 9. Let k(m) = 18*b(m) + 4*z(m). Give k(g(c)). 128*c**4 Let x(c) = 3*c**2. Suppose 4*j - 41 + 13 = 0. Let f(v) = 4*v - v - 5*v + j*v. Give x(f(g)). 75*g**2 Let l(n) = -857*n**2. Let d(p) = 2*p. What is l(d(k))? -3428*k**2 Let z(j) = 4*j. Let h(b) = b + 1. Give z(h(d)). 4*d + 4 Let k(o) = -7*o**2 - 6*o**2 - 9*o**2 + 17*o**2. Let y(x) = -5*x**2. Give k(y(z)). -125*z**4 Let l(a) = 2*a. Let t(j) = 3*j. What is t(l(b))? 6*b Let o(h) = 6*h - 3. Let a(c) = 7*c - 4. Let u(m) = 3*a(m) - 4*o(m). Let z(p) = -3*p. Give u(z(b)). 9*b Let m(u) = -2*u. Let r(s) = -s**3 - 8*s**2 + 3. Let v be r(-8). Let i(h) = 5*h**2 + 3 + 0 - v. Determine m(i(g)). -10*g**2 Let u(h) = -13*h + 9*h + 6*h. Let v(a) = -7*a**2 + 5. Let c(o) = -3*o**2 + 2. Let z(p) = -10*c(p) + 4*v(p). Give z(u(n)). 8*n**2 Let n(h) = h**2. Let i(t) = t**3 - 7*t**2 - t + 9. Suppose 0 = -3*k + 2*k + 7. Let v be i(k). Let l(j) = -v*j + 7*j - 3*j. Give n(l(q)). 4*q**2 Let c = -1 - -2. Let l(q) = -2*q - c + 1. Let z(h) = -4*h. Determine l(z(p)). 8*p Let f(u) be the first derivative of 1 + 0*u + 0*u**2 - 4/3*u**3. Let s(x) = x**2. Let z(j) = j**2. Let a(p) = 2*s(p) - z(p). Give a(f(o)). 16*o**4 Let f(o) = 11*o**2 - 13*o - 13. Let t(n) = -16 + 10 + 0*n**2 + 5*n**2 - 6*n. Let i(a) = 6*f(a) - 13*t(a). Let u(z) = z**2. Give i(u(m)). m**4 Let l(x) = 5*x**2. Let d(k) = 169*k. Determine d(l(g)). 845*g**2 Let t(f) be the first derivative of -5*f**3/3 + 18. Let w(g) = -4*g. Give t(w(b)). -80*b**2 Let r(y) = 2*y - 3. Let z(x) = -3*x + 4. Let w(j) = 4*r(j) + 3*z(j). Let f(v) = 2*v - v - 2*v. What is w(f(t))? t Suppose w - 2 = -0*w. Suppose -3*g = -2*b + 4, w*g - 2*b + 16 = 5*g. Let k(c) = -3*c**g + 4*c**2 + 2*c**2. Let p(a) = 2*a**2. Calculate k(p(n)). 12*n**4 Let g(u) be the first derivative of -5*u**2/2 - 1. Let i(v) be the third derivative of v**4/24 + v**2. Give i(g(h)). -5*h Suppose -5*b = -3*l - 11, -l + 18 + 5 = 5*b. Let a(m) = -5*m + 0*m + 3*m + b*m. Let n(k) = 4*k**2. Give n(a(s)). 16*s**2 Let w(y) be the third derivative of y**8/2880 + y**5/60 + 2*y**2. Let m(x) be the third derivative of w(x). Let i(n) = 2*n. Calculate m(i(f)). 28*f**2 Suppose 5 + 0 = -w + 2*r, -5*w + 3*r + 3 = 0. Let c(z) = 6*z. Let b(a) = -a + 3*a + 11*a. Let u(y) = w*b(y) - 7*c(y). Let p(m) = -m**2. Give p(u(t)). -9*t**2 Let n(p) = 701*p. Let h(k) = -2*k. What is h(n(z))? -1402*z Let z(x) be the first derivative of -2*x**3/3 + 5. Let y(j) = -2*j. What is z(y(k))? -8*k**2 Let t(p) = -3*p. Suppose 0 = -5*x + 3*n - 5, -3*x + 2*n - 2 = 2. Let o(k) = -6 - 6*k**2 + x + 4. Give t(o(h)). 18*h**2 Let u(b) = -3*b**2. Let n(h) = -13*h - 9. Let t(i) = -i. Let c(f) = 9*f + 4. Let p(g) = c(g) + 3*t(g). Let s(l) = 4*n(l) + 9*p(l). Give s(u(m)). -6*m**2 Let c(l) be the first derivative of -6*l**2 - 1. Let f(t) = 2*t. Calculate c(f(v)). -24*v Let o(a) = -3*a - 53. Let z(h) = 6*h**2. Calculate z(o(n)). 54*n**2 + 1908*n + 16854 Let d(l) = -802*l**2. Let b(m) = -3*m**2. Give b(d(r)). -1929612*r**4 Let b(r) = 6*r**2. Let q(o) = 17 + 2*o - 17. Determine q(b(c)). 12*c**2 Let j(y) = y - 1. Let h(k) = -5*k + 6. Let n(g) = h(g) + 6*j(g). Let r(f) = 5*f. Determine n(r(p)). 5*p Let o(g) be the second derivative of -g**5/20 - g**3/3 - 4*g. Let d(w) be the second derivative of o(w). Let z(c) = 2*c**2. Calculate z(d(p)). 72*p**2 Let t(s) = -2*s. Let b(o) = 1. Let h(f) = -13*f - 6. Let q(d) = 6*b(d) + h(d). What is t(q(l))? 26*l Let i(x) = x**2 + 7*x - 11*x + 4*x. Let h(u) = 2*u**2. Give h(i(m)). 2*m**4 Let n(l) = 3*l. Let p = 59 - 56. Let s(m) be the third derivative of 1/8*m**4 + 0*m**p + 0*m - 3*m**2 + 0. What is n(s(w))? 9*w Let h(r) be the third derivative of -r**6/180 - r**3/6 + 8*r**2. Let d(p) be the first derivative of h(p). Let v(f) = -16*f**2. Determine v(d(s)). -64*s**4 Let o(b) be the first derivative of 4*b**3/3 - 22. Suppose -3*h = -5*h + 4. Let g(v) = -v - h*v + v. Give o(g(y)). 16*y**2 Let s(z) be the third derivative of 0*z**3 + 5/24*z**4 + 0*z - 3*z**2 + 0. Let p(x) be the third derivative of -x**4/12 - 2*x**2. Calculate s(p(q)). -10*q Let n(w) = -2*w**2. Let y(t) be the first derivative of 0*t + 1/2*t**2 - 1. Determine y(n(q)). -2*q**2 Let v(f) = -7*f. Let o(k) = 567*k. Calculate v(o(b)). -3969*b Let v(h) = -2*h. Let f(s) be the first derivative of 3*s**2 + 6. Calculate f(v(b)). -12*b Let a(k) = -2*k. Let i(g) be the second derivative of -g**6/360 + g**3 - 5*g. Let t(o) be the second derivative of i(o). Determine a(t(y)). 2*y**2 Let l(n) = -2*n. Let y(o) be the second derivative of 5*o**3/3 + 34*o. Give l(y(u)). -20*u Let t(n) = -2*n**2. Let v(l) be the second derivative of l**6/120 - l**4/6 + 2*l. Let p(a) be the third derivative of v(a). Give t(p(s)). -72*s**2 Let j(d) = -3*d**2 - 4. Let q(k) = -2*k**2 - 3. Let v(f) = -3*j(f) + 4*q(f). Let a(l) = -3*l. What is a(v(n))? -3*n**2 Let s(t) = -t. Suppose 5*a + 5 = -0. Let d = 0 - a. Let l(w) = d - 1 + w. Calculate s(l(z)). -z Let b(u) = -4*u**2. Let h(r) = 13 - 20 + 7 - 4*r. Give b(h(m)). -64*m**2 Let g(l) = 41*l**2 - 2*l. Let u(n) be the first derivative of 2*n**3/3 - 21. Give u(g(j)). 3362*j**4 - 328*j**3 + 8*j**2 Let g(t) = -7*t**2 + 8. Let b(r) = 9*r**2 - 11*r**2 - 1 + 1. What is g(b(n))? -28*n**4 + 8 Let f(z) be the third derivative of -z**5/60 - z**2. Let i(v) = -8*v**2. Calculate f(i(m)). -64*m**4 Let y(k) = -4*k. Let g(w) = -w**2 + 1. Let c(a) = -7*a**2 + 4. Let t(i) = c(i) - 4*g(i). Give y(t(f)). 12*f**2 Let z(k) = 8*k. Let d(u) be the third derivative of -u**4/6 - 12*u**2. Calculate z(d(j)). -32*j Let s be 59/(-3)*(-126)/6. Let a(x) = 2*x**2 - s*x + 413*x. Let u(j) = -3*j**2. Let z(d) = 4*d**2. Let n(k) = -3*u(k) - 2*z(k). Give a(n(i)). 2*i**4 Let t(r) = -5*r. Let k(l) = -l - 1. Let g(h) = h - 2. Let i(p) = -g(p) + 2*k(p). Calculate t(i(s)). 15*s Let y(n) = 292*n. Let h(u) = -8*u**2. Determine h(y(c)). -682112*c**2 Let n(b) = -2*b**2 - 6554. Let z(f) = -2*f. What is z(n(j))? 4*j**2 + 13108 Let x(g) be the third derivative of 0*g**4 + 0*g**3 + 3*g**2 + 0 + 0*g + 1/60*g**5. Let i(u) = u. Calculate i(x(a)). a**2 Let k(x) = 3*x**2 - 4. Let y(u) = -20*u**2 + 9 + 15*u**2 + 0. Let n(h) = -9*k(h) - 4*y(h). Let q(a) = -a**2. Calculate n(q(i)). -7*i**4 Let j(q) = -51*q. Let h(o) = 14*o**2. Determine h(j(r)). 36414*r**2 Let l(z) be the second derivative of 7/3*z**3 + 2*z + 0*z**2 + 0. Let q(y) = -2*y. What is l(q(x))? -28*x Let l(f) = -f**2 - f. Let o = 2 - 7. Let b(g) = 6*g**2 + 5*g. Let h(q) = o*l(q) - b(q). Let w(j) = -2*j. Determine h(w(u)). -4*u**2 Let u(r) = -6 + 2 + 3*r + 4. Let c(b) be the second derivative of b**4/12 + b. W
{ "pile_set_name": "DM Mathematics" }