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e Let p(f) = 12*f**2 - f. Suppose -4*m - 6 = 6. Is p(m) a prime number? False Let v(f) = -f**2 - 2*f + 5. Let l be v(-4). Is 115/(1 + l + 3) prime? False Let d be (7 - 2) + -1*2. Suppose -5*i + 0 + 4 = d*p, -3*p + 4*i = -13. Suppose -2*w = 4*o - 4, -10 = -o + p*w + 5. Is o a composite number? False Let x(h) = -3*h**3 + 4*h**3 - 7*h**2 + 3*h + 3*h**2. Let d be x(2). Let s(w) = 17*w**2 + w + 1. Is s(d) prime? True Let b(v) = -2*v**3 + 5*v**2 + 5*v + 9. Let o(z) = z**3 - z - 1. Let y(c) = -b(c) - 3*o(c). Let w be y(-5). Suppose -u + w*u = 9. Is u a composite number? False Let d = 2 + -3. Let y be d/((-15)/(-9))*-5. Suppose y*f - 35 = 2*f. Is f prime? False Let n = 654 - 334. Let a = -117 + n. Is a a composite number? True Let s(q) = q**2 + 6*q + 5. Suppose -4*v - 20 = v. Let x be s(v). Let r = 16 + x. Is r prime? True Let h be 0 - (-2 - (-1)/(-1)). Let d(l) = l**2 + 1 + l**2 + 2*l**2. Is d(h) composite? False Let d(a) = 1801*a**2 + 3*a + 3. Is d(-1) a prime number? True Let x(y) = y**2 - 5*y + 7. Is x(8) a composite number? False Let h = 3861 + -2635. Is h composite? True Let m(u) = -u**3 - u**2 - 6. Let w be m(0). Is (0 - 1) + (110 - w) composite? True Suppose 126 = 5*c - 59. Suppose 17 = -x + 1. Let j = c - x. Is j composite? False Is ((-6)/(-3) - 5) + 1474 a composite number? False Let g be ((-26)/(-3))/(2/12). Suppose 3*i = -l + 16, 2*l + 3*i = i + g. Is l composite? False Suppose 4*h + 0*h = 12. Let v be 0/2*3/h. Suppose 3*x + x - 124 = v. Is x composite? False Let r be 3/(141/46 - 3). Suppose -v = -b + 2*v + 44, -4*v = -b + r. Is b composite? True Suppose -48 = 5*f + 3*s, 5*f + 44 = 2*s - 6*s. Let j = 70 + f. Is j a composite number? True Suppose z = -2*z - 3. Let t = z + -2. Let q = t - -9. Is q prime? False Suppose -t + 146 = -105. Is t prime? True Let r be (-2 - 0) + (10 - 3). Suppose -p + 4*s - 2251 = -6*p, -r*p - 3*s = -2252. Is p composite? True Let x(k) = -k**2 + 5*k + 2. Let v be x(5). Let b(i) = 3 + 3*i**3 + 7*i**3 - i - 4. Is b(v) a composite number? True Let o = -3 - -6. Let t = 1 - -2. Suppose 0 = o*w + 4*a - 14, -t*w + 3*a = -w - 15. Is w a composite number? True Let a be (2 - 6/4)*0. Let i(c) = c**2 + 178. Is i(a) composite? True Let q(d) = 30*d**2 + 5*d + 22. Is q(7) a composite number? True Let l be (-4)/(-8) + (-5)/(-2). Suppose -l*f + 25 = 2*f. Suppose -2*j - 4*c = -30, -4*c = -3*j - 0*c + f. Is j prime? True Let n(v) = v**3 + 15*v**2 + 14*v. Let y be n(-14). Suppose -t - 2*t + o - 24 = y, -3*o = 9. Let g = t + 12. Is g a composite number? False Let n(m) = m**2 - 8*m. Let q be n(8). Suppose 0*c - 3*c = 15, -3*w = -2*c - 79. Let s = w - q. Is s a prime number? True Is (157/2)/(6/12) composite? False Let q(c) = 80*c**3 - c**2 + 2*c + 1. Is q(2) prime? True Let w = -3 - -3. Suppose -c + 4*z - 3*z + 4 = w, 2*z - 1 = c. Let u(p) = 2*p + 3. Is u(c) composite? True Let p = 0 - 1. Let w = 2 - p. Suppose -110 = -5*t - w*i, 4*i = 3*i. Is t a composite number? True Is 5 + -1 + 38/2 prime? True Suppose 537 = 4*x - t - 348, 3*t - 439 = -2*x. Is x a prime number? False Suppose 0 = 4*g - g - 1329. Let f = -308 + g. Suppose 2*n - 3*r = f, -3*n - n - 5*r + 281 = 0. Is n composite? True Let p = 23409 + -6244. Is p a composite number? True Let n = -8 - 91. Let q = -65 - n. Is q composite? True Suppose -3*l = -5*l + 2. Suppose 2*u + 0 = -2. Is (-13 + (l - u))*-1 composite? False Let q be (-66)/(-4)*80/12. Suppose 445 = -5*l + 80. Let h = q + l. Is h a composite number? False Let b = -4 + 6. Suppose -5*h = 15, -b*v = -3*h - 13 - 2. Suppose 98 = -l + v*l. Is l composite? True Let y(l) = -l**3 + 9*l**2 + l + 10. Is y(8) composite? True Let a be 2/(-4) + 76/8. Suppose 0 = 2*w - 2*u + 10, 0*u - a = 3*u. Let f(q) = -q**2 - 12*q + 5. Is f(w) composite? False Let z(d) = -d**3 + 3*d**2 + 5*d + 1. Let s be z(4). Suppose 5*t + 123 = 5*h - 2*h, 196 = 4*h + 4*t. Suppose -9 = -s*b + h. Is b prime? True Let m = -1776 + 2969. Is m composite? False Suppose 2961 = 2*z + 7*z. Is z a prime number? False Let r(m) = 119*m**3. Let w be r(-1). Let i = w - 30. Let f = -64 - i. Is f a prime number? False Suppose -4*j + 8 = 4*f, 5*f - f = 0. Is (4/j)/(2/79) a prime number? True Suppose -2*p - 286 = -4*p. Is p a prime number? False Let s(c) = -9*c + 2. Let j be s(-10). Suppose 2*z + 2*z = j. Is z a prime number? True Let g = -1 + 3. Suppose 0 = -0*c + g*c - 4. Suppose -3*s - c*s = -785. Is s a prime number? True Let k(v) = -v**3 - 10*v**2 - 4*v - 17. Is k(-12) prime? False Let g be (-4)/(-22) - 279/(-99). Suppose g*c - 8*c = -1075. Is c a composite number? True Let o(w) = 89*w**2 - w - 7. Is o(3) composite? True Suppose 0 = 2*d - 0 - 6. Suppose 5*t - d = 12. Suppose -t*s + 445 = 2*s. Is s a prime number? True Is (52/10)/(4/10) a prime number? True Suppose -2*j = 2*s - 338, j - 5*s = -0*s + 169. Suppose 9*p - 65 = 4*p. Suppose 4*i + p = j. Is i a prime number? False Suppose -1 = 2*o - 5. Suppose 0 = o*w - 0*w - 298. Is w composite? False Suppose -3*a + 218 = 545. Is (3/(-1) - -2)*a prime? True Suppose 2*i = 565 + 219. Suppose -3*w - i = -s, -5*s + 1724 + 217 = 4*w. Is s a composite number? False Suppose c - 4*p = -c + 22, 3*p = -5*c + 3. Suppose -c*j + 26 = 4*q, 4*j = -q - 0*j + 13. Suppose q*f - 18 = 2*f. Is f prime? False Let k(w) = 3*w. Let q be k(1). Is q + -3 - (2 + -1381) composite? True Let o(l) = -l**3 + 4*l**2 + 2*l - 5. Let j be o(4). Let f = j - 1. Suppose -f*q + 68 = -0*q. Is q a composite number? True Let l(t) = 5*t**2 - 5. Let j(u) = 11*u**2 + u - 10. Let n(r) = 3*j(r) - 7*l(r). Let z be n(-7). Let q = z + 193. Is q a composite number? False Let d(t) = 2*t**2 - 2*t + 2. Let b(l) = -l**2 + 2*l + 2. Let q be b(-2). Is d(q) a prime number? False Suppose 6 + 1 = b. Suppose 0 = 2*f - 2*l + b*l - 39, 0 = 5*f - 5*l - 10. Is f a prime number? True Suppose 3*z = -z + 2*j + 60, -4*z + 60 = 2*j. Is z a composite number? True Suppose 4*z + 4*x - 6732 = 0, x + 8446 = 4*z + 1704. Is z a prime number? False Let x(i) = -i**3 + 9*i**2 - i + 5. Let o be x(9). Is (6/(-9))/(o/66) a prime number? True Suppose -3*x + 101 = -s + 36, x - 5 = -3*s. Let j = 105 + -63. Let n = j - x. Is n a prime number? False Is (0 + 1)*1 - -982 prime? True Let z = -1 + 6. Let r = z - 14. Is 2/r + (-1463)/(-63) a composite number? False Suppose -2*t + 5*t = 153. Is t prime? False Let z be (-1265)/(-7) - 4/(-14). Let i = z + -128. Is i a composite number? False Let c(z) = z**2 - 6*z + 5. Let a(k) = 2*k**2 - 12*k + 11. Let m(r) = 6*a(r) - 13*c(r). Let b(q) = -q + 1. Let j be b(-4). Is m(j) a composite number? True Let x(i) = i**2 - 6*i + 4. Let a be x(6). Is (a/(-6))/(2/(-57)) a composite number? False Suppose s = 4*j - 2*j - 5, -60 = 3*s + 3*j. Is 1 - (6/(-2) + s) composite? False Let b(m) = 14*m**2 - 4*m + 2. Let j be b(5). Suppose 5*r - 3*n - j = 0, -2*n + 203 = 3*r - 0*n. Suppose 130 = 5*x - y - r, 5*x = 3*y + 201. Is x prime? False Suppose 5*s + 146 = 2*c - 45, -s = 1. Is c a composite number? True Let b(v) = v**2. Let c(i) = -i**3 + 4*i**2 - 3*i - 1. Let r be c(3). Let y be b(r). Is (-2)/((4/(-22))/y) prime? True Let p = 4 - 1. Suppose 6*g + p*k - 171 = g, 95 = 3*g - 2*k. Is g composite? True Suppose -2*f + 45 = 5*d - f, -d + 9 = 4*f. Let m = -5 + d. Suppose m*y = y + 63. Is y a prime number? False Is 4*(14086/(-12))/(4/(-6)) a composite number? False Let p be 1 - 1 - (-1 - -1). Suppose 5*u = -2*r + 1341, p*r - 3*r + 810 = 3*u. Is u a composite number? True Suppose 4*z - 2*l = 1532, l - 1131 = -3*z - 2*l. Is z a composite number? True Suppose -7902 = -8*m - m. Is m a prime number? False Let u be 0 + 3 + 96 - 3. Let d = u - 38. Is d composite? True Let h be 0/3 - 4 - -666. Suppose -h = k - 3*k. Is k prime? True Let o be (-82)/(-8) + 3/(-12). Let k = -4 + 4. Suppose r = -3*b + o, 5*r - 5*b + b - 107 = k. Is r composite? False Suppose -9 + 39 = -5*n. Is n/4*124/(-6) a composite number? False Let d(i) = -i + 11. Let y = 3 + 5. Let g be d(y). Is 5 + (g/3 - 0) composite? True Suppose -8*j = -10*j + 6. Suppose 0 = 2*q - j*q + 4*v + 7, -4*q = -v - 13. Is q a prime number? True Suppose -2 = -3*o + 10. Suppose -2*l + o*l = 30. Is l a composite number? True Let j(q) = -65*q**3 + q**2 - q + 7. Is j(-3) composite? True Suppose -20 - 84 = -l. Suppose t - l = -3*t. Is t composite? True Is 4/(-1) - (-98 +
{ "pile_set_name": "DM Mathematics" }
11691.95 centimeters to micrometers. 116919500 What is 0.834734 millennia in centuries? 8.34734 What is 27/4 of a centimeter in micrometers? 67500 What is 1/6 of a week in hours? 28 What is 13/5 of a meter in centimeters? 260 What is three tenths of a decade in years? 3 What is 81.3048um in centimeters? 0.00813048 What is 62569.73 kilograms in nanograms? 62569730000000000 Convert 9.624607 micrometers to kilometers. 0.000000009624607 Convert 41.9941l to millilitres. 41994.1 How many milligrams are there in eighteen fifths of a gram? 3600 What is 61809.71 litres in millilitres? 61809710 How many months are there in 456716.4 centuries? 548059680 What is 13.20491ng in tonnes? 0.00000000000001320491 What is one tenth of a millennium in years? 100 How many hours are there in 25.911414s? 0.007197615 How many micrometers are there in 7468.53m? 7468530000 What is one quarter of a decade in months? 30 How many milligrams are there in 48/5 of a gram? 9600 What is 3/40 of a centimeter in micrometers? 750 Convert 389.9868 months to centuries. 0.324989 How many months are there in 0.776164 centuries? 931.3968 How many kilograms are there in eleven halves of a tonne? 5500 Convert 0.6045608 millimeters to centimeters. 0.06045608 How many months are there in three fifths of a decade? 72 How many millimeters are there in 29.54939 meters? 29549.39 How many micrometers are there in 0.7225547cm? 7225.547 What is 3/8 of a litre in millilitres? 375 How many micrograms are there in 8475.345g? 8475345000 What is seven halves of a millennium in centuries? 35 What is fifteen quarters of a litre in millilitres? 3750 What is 387.2562 microseconds in minutes? 0.00000645427 How many milliseconds are there in 768.3936 hours? 2766216960 Convert 8522.727ml to litres. 8.522727 How many nanograms are there in 26/5 of a microgram? 5200 What is 1/64 of a meter in micrometers? 15625 How many grams are there in one quarter of a kilogram? 250 What is two ninths of a hour in seconds? 800 How many minutes are there in three sixteenths of a week? 1890 What is 8.850387g in milligrams? 8850.387 What is 29/2 of a microgram in nanograms? 14500 What is 59/5 of a centimeter in millimeters? 118 How many nanograms are there in one quarter of a microgram? 250 How many centimeters are there in 5121.903nm? 0.0005121903 How many minutes are there in 28/3 of a week? 94080 Convert 90.73649 millilitres to litres. 0.09073649 How many kilograms are there in seventy-three fifths of a tonne? 14600 How many millilitres are there in 18/5 of a litre? 3600 Convert 3699.291 centimeters to kilometers. 0.03699291 What is 8.294803s in nanoseconds? 8294803000 Convert 804.889mm to nanometers. 804889000 What is 5/4 of a milligram in micrograms? 1250 How many millilitres are there in 0.5610409l? 561.0409 What is twenty-nine halves of a day in minutes? 20880 Convert 296464.05 nanoseconds to hours. 0.000000082351125 How many micrograms are there in one sixteenth of a gram? 62500 What is 3/50 of a week in seconds? 36288 How many kilograms are there in 54/5 of a tonne? 10800 What is nine tenths of a centimeter in millimeters? 9 Convert 20364.23 centuries to millennia. 2036.423 What is 3995.681 days in milliseconds? 345226838400 What is thirteen fifths of a litre in millilitres? 2600 How many seconds are there in seven halves of a minute? 210 Convert 62.75387cm to nanometers. 627538700 What is 19.08756l in millilitres? 19087.56 How many centimeters are there in 0.707759km? 70775.9 What is 608.7251ml in litres? 0.6087251 How many centuries are there in 0.3924509 years? 0.003924509 Convert 0.49941kg to nanograms. 499410000000 How many litres are there in 80.87635ml? 0.08087635 How many micrograms are there in 8020.692mg? 8020692 What is 0.4771114 microseconds in nanoseconds? 477.1114 Convert 4431.96 micrometers to millimeters. 4.43196 Convert 105.0253ng to tonnes. 0.0000000000001050253 What is 39422.6 micrometers in centimeters? 3.94226 How many decades are there in 13/5 of a millennium? 260 How many centuries are there in 7767.51 months? 6.472925 How many days are there in 10/7 of a week? 10 What is 0.3132298um in kilometers? 0.0000000003132298 How many kilograms are there in 591592.5t? 591592500 How many grams are there in 25/4 of a kilogram? 6250 What is 21/8 of a meter in millimeters? 2625 How many millimeters are there in 31/5 of a centimeter? 62 What is 949.0125 weeks in days? 6643.0875 Convert 8.912534mm to centimeters. 0.8912534 How many years are there in 34/5 of a century? 680 How many millimeters are there in twenty-one eighths of a meter? 2625 Convert 959134.6 centimeters to meters. 9591.346 How many centimeters are there in 49/5 of a meter? 980 What is 0.401553 millilitres in litres? 0.000401553 How many seconds are there in 1/9 of a day? 9600 How many millilitres are there in 0.0093587 litres? 9.3587 How many nanometers are there in 17/4 of a micrometer? 4250 Convert 500.1149 weeks to milliseconds. 302469491520 Convert 0.4841303 weeks to milliseconds. 292802005.44 How many millilitres are there in 777788.6 litres? 777788600 What is 4.38262l in millilitres? 4382.62 How many grams are there in 0.2852596 tonnes? 285259.6 What is 91175.2 meters in nanometers? 91175200000000 How many litres are there in 833237.1 millilitres? 833.2371 What is 4.996487 hours in microseconds? 17987353200 What is 293252.8 centuries in months? 351903360 How many years are there in 3/50 of a century? 6 How many millilitres are there in 0.3825161 litres? 382.5161 What is 19762.077 months in decades? 164.683975 How many months are there in seven halves of a millennium? 42000 Convert 650393.226ms to weeks. 0.001075385625 How many seconds are there in 404287.2 weeks? 244512898560 How many milligrams are there in one tenth of a kilogram? 100000 How many decades are there in 1/5 of a century? 2 What is 152.5392t in nanograms? 152539200000000000 What is one twentieth of a litre in millilitres? 50 Convert 183.1265 years to months. 2197.518 How many litres are there in 622343.3ml? 622.3433 How many millimeters are there in 29024.25nm? 0.02902425 How many kilometers are there in 196765.7 millimeters? 0.1967657 What is seven halves of a gram in milligrams? 3500 What is 3/10 of a gram in milligrams? 300 How many nanoseconds are there in six fifths of a microsecond? 1200 How many nanograms are there in twenty-nine halves of a microgram? 14500 How many millilitres are there in 11/4 of a litre? 2750 What is 5/4 of a litre in millilitres? 1250 How many litres are there in 0.5963614ml? 0.0005963614 What is seven quarters of a microgram in nanograms? 1750 How many millilitres are there in six fifths of a litre? 1200 How many grams are there in 6248.547 milligrams? 6.248547 How many nanometers are there in 19/4 of a micrometer? 4750 How many centimeters are there in 0.565983nm? 0.0000000565983 What is 816402.9 millilitres in litres? 816.4029 What is 4102.314 months in centuries? 3.418595 What is 21/5 of a litre in millilitres? 4200 How many millilitres are there in 13/5 of a litre? 2600 How many years are there in 3/5 of a millennium? 600 Convert 0.7678413mg to nanograms. 767841.3 How many centuries are there in thirty-seven halves of a millennium? 185 What is 5.823584 years in centuries? 0.05823584 How many meters are there in 75310.51mm? 75.31051 What is 552.9021 litres in millilitres? 552902.1 Convert 18347.96um to kilometers. 0.00001834796 What is 1/4 of a minute in milliseconds? 15000 What is five quarters of a kilogram in grams? 1250 What is 1/36 of a day in seconds? 2400 Convert 279351.5um to nanometers. 279351500 What is thirteen quarters of a milligram in micrograms? 3250 What is fifty-five halves of a century in decades? 275 How many seconds are there in 1/24 of a week? 25200 What is 3/40 of a litre in millilitres? 75 Convert 587709.2 litres to millilitres. 587709200 How many seconds are there in 1/45 of a week? 13440 What is 7.565349 millilitres in litres? 0.007565349 How many seconds are there in 46/5 of a hour? 33120 What is eleven halves of a meter in millimeters? 5500 How many millilitres are there in three fifths of a litre? 600 What is 7529.572 nanometers in micrometers? 7.529572 How many centuries are there in 37/5 of a millennium? 7
{ "pile_set_name": "DM Mathematics" }
for r. -22 Solve 35*b = -7224 + 6664 for b. -16 Solve 6*b - 369 = -0*b - 9*b + 6*b for b. 41 Solve 9*f = 437*f - 5494 - 39740 - 16398 for f. 144 Solve -180 = -102*c + 593 + 3523 + 702 for c. 49 Solve -1227*j - 1167*j = -296856 for j. 124 Solve 651 - 1962 = 80*t + 3169 for t. -56 Solve 0 = 263483*g - 263323*g - 6720 for g. 42 Solve -684*f = -821*f + 685 for f. 5 Solve -14*j = -137373 + 136953 for j. 30 Solve 2980 = 37*u + 164*u - 323*u - 1534 for u. -37 Solve 210748*a = 211086*a + 5746 for a. -17 Solve 78*x - 37*x - 2070 = -4*x for x. 46 Solve -225*s + 53 = 1628 for s. -7 Solve -37*v - 10051 = -13936 for v. 105 Solve -8131*a - 3384 = -141611 for a. 17 Solve -38367*b - 27716 = -39043*b for b. 41 Solve 657*c + 1085*c + 56129 = 225*c for c. -37 Solve -1002*m - 50*m = 3892*m + 168096 for m. -34 Solve -984*y - 21461 - 25530 = -25*y for y. -49 Solve 0 = 292*a - 6946 - 3858 for a. 37 Solve 37491*o - 37279*o = -7844 for o. -37 Solve -38*k - 142*k + 27864 = 144*k for k. 86 Solve -227*t + 13540 - 52736 = -705*t for t. 82 Solve -280*q + 72*q + 62*q + 11096 = 0 for q. 76 Solve -19*h = -382*h + 3034 + 1322 for h. 12 Solve 2536*c + 174364 + 248880 = -3033*c for c. -76 Solve -1678*p - 5388 = -354 for p. -3 Solve -875*n + 8242 - 26273 - 30969 = 0 for n. -56 Solve 4353*p - 6049*p = 55968 for p. -33 Solve 40*y + 26145 = 80*y - 787*y for y. -35 Solve 2300*t + 39281 = -15919 for t. -24 Solve -485*r - 131*r + 24019 + 14768 = -637 for r. 64 Solve 32160 = -507*o - 417*o - 416*o for o. -24 Solve -17797 + 16558 = 413*r for r. -3 Solve -6891 = 94*i - 2391*i for i. 3 Solve -8*z + 157 - 769 = 4*z + 5*z for z. -36 Solve -2431*w + 5957 = -2592*w for w. -37 Solve -150885 = -3*q - 150921 for q. -12 Solve 1481*t + 2068*t + 372*t - 23388 = 31506 for t. 14 Solve -760 = -600*f - 4259 - 13301 for f. -28 Solve -1094*t - 211*t + 12*t + 202266 = 690*t for t. 102 Solve 40704 + 20762 + 51278 = -1658*y for y. -68 Solve -19*g - 211*g + 1338*g = 14404 for g. 13 Solve -6341 = 1062*s - 52007 for s. 43 Solve 5876272*l - 5876358*l + 860 = 0 for l. 10 Solve -23 - 46 - 407 = 25*r + 249 for r. -29 Solve 4*z = -11*z - 9*z + 3*z - 483 for z. -23 Solve 818 - 1738 - 2536 = -50*r - 556 for r. 58 Solve 0 = -324*k - 988*k - 3541*k + 402799 for k. 83 Solve 26648 - 2450 = 1463*j - 7988 for j. 22 Solve 1454*f = -95579 - 9109 for f. -72 Solve 0 = -316*f + 27*f - 494*f + 22*f - 59358 for f. -78 Solve 1758*v - 7516 = 7858*v + 4684 for v. -2 Solve 447*d + 445*d - 218 = 895*d - 65 for d. -51 Solve -99*l = 157*l - 3598 + 270 for l. 13 Solve 347*u + 219*u = 15848 for u. 28 Solve 604*y - 153*y + 8569 = 0 for y. -19 Solve 208 = 7*c + 8*c + 196 - 573 for c. 39 Solve 799*h = 3512*h - 328273 for h. 121 Solve 551*c - 7319 - 4877 = 1985 + 145 for c. 26 Solve 509*k = 2499 + 31095 for k. 66 Solve 158*p + 684 = -795 + 127 - 860 for p. -14 Solve -17195*t + 76270 = -15880*t for t. 58 Solve 1652*g = 9522*g - 747650 for g. 95 Solve -1609939 = -93*h - 1611706 for h. -19 Solve 26657 - 19487 = -239*y for y. -30 Solve 1772*l + 26114 + 70365 + 22323 = -14098 for l. -75 Solve 0 = 3912*k - 3816*k + 799 + 545 for k. -14 Solve 3445*c = 1713*c + 1686*c + 46 for c. 1 Solve 395*z - 111332 = -476*z + 118*z - 1388*z for z. 52 Solve -491*p - 1373 = 1166 + 1880 for p. -9 Solve 289*x + 454*x - 377*x + 8784 = 0 for x. -24 Solve -57*t - 774704 + 776870 = 0 for t. 38 Solve -1464*c - 1862*c = 762*c + 216664 for c. -53 Solve -957 - 517 = -34*n - 148 for n. 39 Solve 195*l - 3952*l + 184093 = 0 for l. 49 Solve -21*n + 45171 = 45276 for n. -5 Solve -199*p - 4969*p = 558144 for p. -108 Solve -372*k - 72*k + 1600 = -124*k for k. 5 Solve 359*j - 8 - 6775 = 3392 + 1313 for j. 32 Solve -196*c + 47 = 22 + 25 for c. 0 Solve -145*v + 767 - 2072 = 0 for v. -9 Solve 390*c + 267*c = 28908 for c. 44 Solve 2575784 = -36*s + 2577476 for s. 47 Solve 1062*a - 156*a = 31710 for a. 35 Solve -154*z - 2682 - 2582 = 588 for z. -38 Solve 11370 - 20063 = -522*w + 23671 for w. 62 Solve -16533*r = -16740*r + 8280 for r. 40 Solve 5016*j + 18545 = 1307*j for j. -5 Solve -747*d + 2288*d + 1560*d = 65969 + 138697 for d. 66 Solve 390*j + 1191 + 616 = -4703 + 270 for j. -16 Solve 0 = 105*a + 23*a - 204712 + 198696 for a. 47 Solve -238*c + 183*c = -627*c - 219*c - 29267 for c. -37 Solve 0*a + 3*a = -0*a + 69 for a. 23 Solve 199*i - 1299*i - 1455*i = 1012*i + 128412 for i. -36 Solve -354*x - 334*x + 577*x = 2664 for x. -24 Solve 31154 - 50344 - 52090 = 1821*y + 50727 for y. -67 Solve -200*z - 1174*z = -32488 - 32090 for z. 47 Solve 11057*h + 4977 = 11120*h for h. 79 Solve 141802 - 139218 = -68*j for j. -38 Solve -5612*s = -1083*s + 240037 for s. -53 Solve -1277*l - 530*l - 1201 - 141552 = 0 for l. -79 Solve -3051*z + 922*z + 28462 + 68649 = -39145 for z. 64 Solve -471161 = 62*g - 469611 for g. -25 Solve 0 = -466*g + 416*g + 900 for g. 18 Solve 434889*f = 435055*f + 12450 for f. -75 Solve 3743*p - 10*p - 315439 = 67*p - 91813 for p. 61 Solve -116*h - 474 = -3342 - 4324 for h. 62 Solve 74*i - 666 = -561*i + 3200 - 691 for i. 5 Solve -537*j + 33253 = -110*j + 231*j - 2279 for j. 54 Solve 18394*f + 4240 = 18818*f for f. 10 Solve -1079*m + 53789 - 102688 = 65475 for m. -106 Solve -5321*y + 89616 = 13820*y + 215845 + 275732 for y. -21 Solve 1704*o + 2104*o = -255477 + 99349 for o. -41 Solve -237*x = -43*x + 307*x + 173*x + 9436 for x. -14 Solve -7172 - 672 = 166*k + 4542 + 9028 for k. -129 Solve 57*d + d + 21*d - 1720 = -377 for d. 17 Solve 3163*x + 1658*x + 6915*x + 927144 = 0 for x. -79 Solve -299*p - p + 6840 + 295 = -9965 for p. 57 Solve 4803*t - 131500 = 334391 for t. 97 Solve -23099*y - 87368 - 232320 = 469616 + 19161 for y. -35 Solve 80*s = 416953 - 413433 for s. 44 Solve -10162 + 5965 = -37*c - 5455 for c. -34 Solve 97*h - 4181 + 688 = 387 for h. 40 Solve 2869 - 14476 = 88*z + 131*z for z. -53 Solve -18043 + 35256 + 26642 = 1253*c for c. 35 Solve 394*q + 77*q = 286 + 135 + 50 for q. 1 Solve 298*s - 133*s - 2551 + 8491 = 0 for s. -36 Solve -25900*h + 3357*h + 1473764 + 645278 = 0 for h. 94 Solve 2333*f + 100179 = 18524 for f. -35 Solve 27*a + 326 - 1018 - 154 = 423 for a. 47 Solve -13419 = -173*l - 324*l for l. 27 Solve -1555*c = -2555*c - 2280*c - 114800 for c. -35 Solve 25920 = 53*y + 113*y + 74*y for y. 108 Solve 1403*n + 26832 + 19144 = 42*n + 5146 for n. -30 Solve 38*l + 9330 = 3944 + 3524 for l. -49 Solve 439*x + 1453 - 9452 + 975 = 0 for x. 16 Solve -4525 = -195*b + 4334 - 4357 + 4858 for b. 48 Solve -535*h + 30064 = 368*h + 222*h + 754*h for h. 16 Solve -193*x + 61325 = -343*x - 965*x for x. -55 Solve 896 = -133*y - 751 - 1678 for y. -25 Solve -427*x = 274*x - 18226 for x. 26 Solve 13137*d + 3848 = 13063*d for d. -52 Solve -291*k + 168*k - 43279 = 699*k - 12043 for k. -38 Solve 66*v - 1344 = 145*v - 47*v for v. -42 Solve 0 = -2064*u - 724*u - 8364 for u. -3 Solve -13*f = 4364960 - 4365597 for f. 49 Solve 28*k = 1913 + 4519 - 9120 for k. -96 Solve 347*m + 8323 - 5939 = 27021 for m. 71 Solve 0 = 414*u - 2021 - 1291 for u. 8 Solve 30583 = -1171*j + 93817 for j. 54 Solve -1537*q = -1867*q + 2970 for q. 9 Solve -2038*c + 7322*c + 2108*c + 657888 = 0 for c. -89 Solve -348*a - 498*a + 5088 + 4720 = 380*a for a. 8 Solve 2251*d = 45617 - 234701 for d. -84 Solve -1508 = -158*g + 517*g + 646 for g. -6 Solve -55*i + 418*i + 8194 = -119*i for i. -17 Solve -415*x - 8658214 + 8686849 = 0 for x. 69 Solve 0 = 288468*y - 288781*y + 8138 for y. 26 Solve 6630*q + 6509*q - 4940 = 13329*q for q. -26 Solve -7899 + 1379 = -141*k + 3*k + 518 for k. 51 Solve 1635 = -742*f - 916*f + 23*f for f. -1 Solve -1087*l = 2406*l + 118762 for l. -34 Solve -27*b + 315237 - 316224 = 20*b for b. -21 Solve -31689*r = -32213*r - 2620 for r. -5 Solve -40*o + 2651 = 811 for o. 46 Solve 2458 + 5326 + 287 = 157*n + 1163 for n. 44 Solve -3755 - 554 = -54*q + 173 for q. 83 Solve -42*p - 4098 - 3674 = 39*p + 53*p for p. -58 Solve 12876*s + 774 - 8418 = 12798*s for s. 98 Solve -819 - 23205 = 3961*x - 95322 for x. 18 Solve 11487946 = -70*m + 11483326 for m. -66 Solve -1327*q = 8768 + 21753 for q. -23 Solve 166*w - 7667 = -21*w for w. 41 Solve -329 + 4543 = 19*l - 18*l + 97*l for l. 43 Solve 4747*l - 81663 - 1183 = 70639 + 159817 for l. 66 Solve -2004 - 459 = 681*g - 781*g - 163 for g. 23 Solve -94*s + 624*s - 111478 =
{ "pile_set_name": "DM Mathematics" }
t w = -88285749417859 + 88285765991014.0000044. Let b = -16573158 + w. Let o = b + 3. Round o to 6 dps. 0.000004 Let r = 4.4839 + -195.6379. Let l = r + 0.154. Let a = 190.891 + l. Round a to 2 dps. -0.11 Let p = 0.8 - 8.9. Let q = -8.53 - p. Let t = q + 0.03. What is t rounded to the nearest integer? 0 Let m = 0.0595 - 36.3595. Round m to 0 dps. -36 Let s = 6 + -6.02. Let g = s - -0.0199965. Round g to six dps. -0.000004 Let r = 0.0100144 - 0.01. Round r to six dps. 0.000014 Let r = 26.5 + -28.901. Let h = -2.2189 - r. Let k = h + -0.173. What is k rounded to 3 dps? 0.009 Let s = 140.0059 - 140. What is s rounded to 3 decimal places? 0.006 Let j(i) = 262*i**2 + 4*i - 8. Let t be j(4). What is t rounded to the nearest 1000? 4000 Let p = -28 + 15. Let y = p - -13.00062. Round y to four dps. 0.0006 Suppose 0 = 3*n - 3650 + 563. Let k = n + 8477. Suppose -3815 = 2*b - 5*d, 5*b - d = d - k. Round b to the nearest 1000. -2000 Let l be (-72)/(-10)*(-23620)/8. Let f = -258 - l. Round f to the nearest 10000. 20000 Let w = -2 - -1.988. Let v = 0.034 - w. What is v rounded to 2 dps? 0.05 Let z be (-2 - 0)*(-2 - -5580). Let b = -3556 - z. What is b rounded to the nearest 1000? 8000 Let x = 1.20000079 - 1.2. Round x to 6 decimal places. 0.000001 Let b = 0.132 + 0.021. Round b to two dps. 0.15 Let u = -0.1 - -0.1. Let r = 0.0688 - 0.07. Let j = r + u. Round j to 3 decimal places. -0.001 Let s = 225 + -865. What is s rounded to the nearest one hundred? -600 Suppose 3*q + 914 = 2*u, -1844 = -4*u - 0*q - 2*q. What is u rounded to the nearest 100? 500 Let z = 246 - 246.111. What is z rounded to 2 dps? -0.11 Let g = -1.50049 - -1.5. What is g rounded to 4 decimal places? -0.0005 Suppose 2*t = -t - 5640. Let s = -18356 + 31636. Let d = s + t. Round d to the nearest 1000. 11000 Let l(h) be the second derivative of -5*h**2 + 0 + 5/6*h**3 - 5/12*h**4 + h. Let g be l(-7). What is g rounded to the nearest one hundred? -300 Let n = 3 + -3.2. Let h = n + 0.20008. Round h to five dps. 0.00008 Let t = 59.50194 + -0.62494. Let r = t + -59. Let w = -0.122939 - r. What is w rounded to 5 dps? 0.00006 Let d = 180411 + -62345. Suppose d + 103934 = 3*x. Round x to the nearest 10000. 70000 Let k = 12.99973 - 13. What is k rounded to 4 decimal places? -0.0003 Let m = 2214 - -3086. What is m rounded to the nearest one thousand? 5000 Let c = 22811007.7999979 + -22811004. Let g = c - 3.8. What is g rounded to 6 dps? -0.000002 Let f = -427 + 1047. What is f rounded to the nearest one hundred? 600 Let j = -10 - -217. Suppose -925 = -2*x - j. Let w = 589 - x. Round w to the nearest 100. 200 Let v = -67 + 28. Let w = -51.28 - -7.58. Let t = v - w. Round t to the nearest integer. 5 Let w = 10 - 9.9996. Round w to three decimal places. 0 Let r = 2.98 + -3.7. Let j = -701521 - -701521.720058. Let w = j + r. Round w to 5 decimal places. 0.00006 Let p = -11 + 13. Suppose p*w + 2*w = 32800. What is w rounded to the nearest one thousand? 8000 Let q(w) = -3600002*w + 9. Let m be q(5). Let z be (-4)/8 - m/2. Round z to the nearest one million. 9000000 Suppose 2*q - 6*q + 3*l = 36, -3*q + 3*l = 30. Let s(k) = -55557*k**2 - 8*k + 4. Let d be s(q). What is d rounded to the nearest 1000000? -2000000 Suppose 0*a = 2*a - 3*d + 1800006, -8 = -4*d. Round a to the nearest one million. -1000000 Let g = 9 - 6. Suppose 0*p + 2*p + t - 40 = 0, -3*p - g*t = -66. What is p rounded to the nearest 10? 20 Suppose t = 5*t - 24. Suppose 2*f + t = 18. Let h be 1125/(-3)*(-3200)/f. Round h to the nearest one million. 0 Let w = -41 - -44.05. Let t = w - 0.05. Let o = -2.99999926 + t. Round o to seven dps. 0.0000007 Suppose -5*h + 4*s + 5 = 0, 0*s = -4*s + 20. Suppose 3*m = 6*m - 12. Suppose 0 = h*c - 10*c, -2760 = -m*i + 5*c. What is i rounded to the nearest 100? 700 Let l = -605 + 255. Let w = 349.9793 + l. Round w to 3 decimal places. -0.021 Let c = -8390129 - -8390142.000007. Let f = -0.2 - 12.8. Let b = c + f. What is b rounded to 6 dps? 0.000007 Suppose -5*v + 3*v + 24 = 0. Let g = v - -26. Suppose m - 2 = g. Round m to the nearest 100. 0 Let k = 15.96 + -16. Let z = k - 0.19. Round z to two dps. -0.23 Let t = 19 - 20. Let r be 0 + (t - -3) + 3399998. Round r to the nearest 1000000. 3000000 Let i = -6 + -4.6. Let n = i + 9.83. Let s = n + 0.76999918. Round s to seven decimal places. -0.0000008 Let d = -3279968 + 964981. Let s = 3378483 + d. Let m = -2263496 + s. Round m to the nearest 100000. -1200000 Let g = 1345.83 - 1339. Let o = -7.7 + g. Round o to 1 dp. -0.9 Let o = 6815.786 + -6797.7860052. Let j = -4.2 + -13.8. Let z = j + o. Round z to six dps. -0.000005 Suppose 0 = -4*b - 5191544 + 911544. What is b rounded to the nearest 100000? -1100000 Let d = -32.1 - -27. Round d to the nearest integer. -5 Let t = -26.929 + 26.8. Let f = 16.771 - t. What is f rounded to 0 decimal places? 17 Let j(k) = 486*k**2 + 2*k. Let d be j(-2). Suppose 4*o = 5*m + d, -1003 = -3*o - 2*m + 429. Round o to the nearest 100. 500 Let n = -144.99813 - -145. Round n to four dps. 0.0019 Let k = -180.00123 + 180. Round k to four dps. -0.0012 Let b(z) = -z**2 - 5*z + 8. Let a be b(-6). Let m be 17/(-1)*(-8422)/2. Suppose -a*l - 158413 = m. Round l to the nearest ten thousand. -120000 Let l be (-2)/(-6) - (-25920006)/(-18). Round l to the nearest one hundred thousand. -1400000 Let p(y) = 56*y - 3. Let a(s) = -s - 1. Let h(m) = 6*a(m) - p(m). Let w be h(-4). Let g = -485 + w. Round g to the nearest one hundred. -200 Let u(f) = f - 1170000. Let v be u(0). What is v rounded to the nearest one hundred thousand? -1200000 Let o = 330 - 231. Let v be (-2460)/(o/(-30) - -3). Round v to the nearest one thousand. 8000 Let a = -0.68 - -0.08. Let k = a - -0.5. What is k rounded to one dp? -0.1 Let s = 107 + -106.846. Round s to 2 dps. 0.15 Let j be (-1)/(-3) - (-4894252)/6. Let i = -75709 + j. What is i rounded to the nearest 100000? 700000 Let m = -31.91 + 31. Round m to one dp. -0.9 Let j = -3.7 + 2. Let s = j - 0.3. Let b = -2.5 - s. What is b rounded to the nearest integer? -1 Let t(s) = 1. Let k(n) = 890*n**2 - 3*n + 1. Let g(i) = -k(i) + 2*t(i). Let m be (2 - 8)/(3 - 5). Let l be g(m). What is l rounded to the nearest ten thousand? -10000 Let p(n) = 9*n + 2*n + 12*n**2 - n**3 - 6 - 3*n**2. Let v be p(10). What is v rounded to the nearest integer? 4 Let x = -8 + 14. Let p = x + -6.2. Let w = 0.162 + p. What is w rounded to 2 dps? -0.04 Let s(x) = -20*x + 14*x + 11*x + 1285*x**2. Let q be s(7). Round q to the nearest 10000. 60000 Let k(t) = 34*t**2 + 3*t. Let o be k(-2). Suppose -n - o = 20. Round n to the nearest one hundred. -200 Let w = 46862381.00177 - 46862619. Let j = -238 - w. Round j to 4 dps. -0.0018 Let j = -46 + 45.866. Let y = j - -2.254. Round y to one dp. 2.1 Let j = -90 - -89.9768. What is j rounded to two decimal places? -0.02 Let c = 0.048 - 5.248. Let l = c - -1.4. What is l rounded to zero dps? -4 Suppose -2*k + 8 + 4 = 0. Let t = k + -3. Suppose 2*n = -t*b - 2316, 4*b + 4*n = 5*b + 758. Round b to the nearest 100. -800 Let q = -18 - -10. Let d be 5/10 + (-15)/6. Let j be ((-6)/q)/(d/8). What is j rounded to the nearest 10? 0 Let i = -236.56344133 + 247.3634409. Let m = 10.921 + -0.121. Let y = m - i. What is y rounded to 7 dps? 0.0000004 Let l = -204 + 203.99867. Round l to 3 decimal places. -0.001 Let b = 72 - 67.9. Let f = b - 4.1000054. Round f to six decimal places. -0.000005 Let y = -565 + 566.343. Let c = 1.3 - y. Let l = -0.273 - c. Round l to one decimal place. -0.2 Let k = 3.7 + -5.91. Let b = 2.7 + k. Let w = b - 0.48874. What is w rounded to 4 decimal places? 0.0013 Let l = 4.9 + -30.9. Let a = l + 26.000021. Round a to 5 decimal places. 0.00002 Let k = 873.1042 + -873. Let s = k + -2.1062. Let a = -2 - s. What is a rounded to two decimal places? 0 Let g = -62 - -34. Round g to the nearest 10. -30 Let w(k) = 81*k**3 - 20*k**2 + 8*k - 5. Let l be w(-15). What is l rounded to the nearest 10000? -280000 Suppose 5*a - 857110 = 4*z, z - 125933 = -a + 45480. Let l = 72418 - a. What is l rounded to the nearest 10000? -100000 Let x = -162.32 + 165. What is x rounded to the nearest integer? 3 Suppose 0 = -n - 3963 + 13960. Suppose k = 2*s - n, -5*s = k + k - 25006. Round s to the nearest ten thousand. 10000 Suppose 3*y -
{ "pile_set_name": "DM Mathematics" }
4 + 2*p**2 - 4). -54*p**3 Expand (4*j**5 - j**5 + 0*j**5)*(1 + 2 + 1). 12*j**5 Expand (-v**3 + 2*v**3 - 2*v**3)*(3*v**2 + 5*v**2 + 5*v**2) + 1 - 2*v**5 - 1 + (-5*v + 2*v**3 + 5*v)*(v**2 - 2*v**2 - v**2). -19*v**5 Expand -3*b**2 + 2*b**2 + 8*b**2 + 2*b**2 - 2 + 2 + (-3*b - 3*b + 7*b)*(2*b + 5 - 5). 11*b**2 Expand ((-w**2 - 2 + 2)*(-14 + 14 + 5*w**2) + 4*w**4 - 5*w**4 + 2*w**4)*(-1 + 1 + 2*w). -8*w**5 Expand (-2*a + 2*a + 3*a)*(-3 - 2 + 0). -15*a Expand (3*z + z - 3*z)*(-20*z + 41*z - 12*z). 9*z**2 Expand (-2*p + p**2 + 2*p)*(0*p + 3*p - 5*p)*(-p**2 - 4*p**2 - 25*p**2). 60*p**5 Expand (-v**2 - 2*v**2 + 5*v**2)*(-2*v + 2*v + 2*v**2) + 2*v**4 + 2*v - 2*v - 13*v**3 - 2*v**4 + 13*v**3. 4*v**4 Expand (34 - 34 - 11*o)*((4 + 1 - 3)*(3*o + 0*o - 5*o) + (4*o - o - 2*o)*(4 + 2 - 4)). 22*o**2 Expand (-v**3 + 0 + 0)*(v**2 + 0*v**2 - 3*v**2) + 0*v**5 + 2*v**5 - 3*v**5 + (-6 - 9*v**2 + 6)*(v - 2*v**3 + 6*v**2 - 6*v**2). 19*v**5 - 9*v**3 Expand (-2*b**3 - 2 + 2 + (4*b - 2*b - b)*(b**2 + 3*b**2 - 6*b**2))*(5*b**2 - b**2 - 3*b**2). -4*b**5 Expand -3*q**2 + 2*q**4 + 3*q**2 + (0*q**3 - q**3 + 0*q**3)*(-3*q + 2*q + 0*q). 3*q**4 Expand (4*t**2 - 17*t**2 - 13*t**2)*(2 + 1 - 1 + 2*t). -52*t**3 - 52*t**2 Expand (3*q**3 - 3*q**3 + 3*q**4)*(5*q - q - 3*q - q + 0*q + 0*q + (-q + 0 + 0)*(-3 - 1 + 2) - 2*q + 0*q + q + 0 + 2*q + 0). 9*q**5 Expand m**5 - 3*m**5 + 3*m**5 + (-3*m + 3*m - m**2)*(3*m**3 + 4*m**2 - 4*m**2)*(5 - 2 - 6). 10*m**5 Expand (-2*o**2 - 3*o**2 + 6*o**2)*(-o**2 + 0 + 0) + 4*o**2 - 4*o**2 - 6*o**4. -7*o**4 Expand (-9 - 4 - 4)*(-d - d + 0*d + 1). 34*d - 17 Expand (-4 - v + 6*v + 2)*(0*v - 4*v + 5*v). 5*v**2 - 2*v Expand (-4*y + 8*y**2 + 3 - 6*y**2 + 2*y)*(-2*y + 5*y - 2*y). 2*y**3 - 2*y**2 + 3*y Expand 13*i + 31 - 31 + (-4*i + 3*i + 3*i)*(-2 + 2 + 2) + i - 2*i + 3*i + 1 + i - 1. 20*i Expand (-2*z + 0*z + z)*(3 - 4 - 1)*(0*z**3 + z**3 - 3*z**3). -4*z**4 Expand (3*d**4 + d**4 - 6*d**4)*(0*d + 6*d + d). -14*d**5 Expand (9*l**2 - 4*l + 4*l)*(2*l**2 - 11*l**2 - 2*l**2). -99*l**4 Expand ((-2*q - 3*q + q)*(-1 + 1 - q**3) + q**4 - 3 + 3)*(-5 + 8 + 9 + (3 + 2 - 4)*(-2 + 0 + 0) + 3 + 2 - 6). 45*q**4 Expand 29*m**3 + 54*m**4 - 29*m**3 + 0*m**4 + 2*m**4 - 3*m**4 + (-3*m + 4*m + m)*(-m + m**3 + m). 55*m**4 Expand (-i - 2*i**2 + i)*((-3*i + 3*i - 2*i)*(3*i**2 - 2*i**2 + 0*i**2) - 56*i**2 + 9*i**3 + 56*i**2). -14*i**5 Expand (22 - 38*g + 19 - 40)*(-3*g**4 - g**4 + g**4). 114*g**5 - 3*g**4 Expand (g - g + 2*g**3 + (-2*g - 2*g + 6*g)*(g**2 + g**2 - g**2))*(2 - 2 - 4*g). -16*g**4 Expand (1 - 1 - 2*h + (0 - 1 + 0)*(4 - 4 + h) - 3*h + 2 - 2)*(-6*h + 3*h + h + (-3 + 0 + 0)*(h + 2*h - 5*h) + 3*h + 3*h - 5*h). -30*h**2 Expand (-2 - 3 + 4)*((-3 + 5 - 1)*(0 - 1 - 1) - 2 + 2 + 1)*(o - 2*o + 3*o). 2*o Expand 50*f**2 + 2 - 55*f**2 - 4 + (3*f**2 - 3 + 3)*(2 + 1 - 5). -11*f**2 - 2 Expand (-4 + 3 - 2)*(5*b - 5*b - 2*b + (4 - 1 - 4)*(-4*b + 3*b + 3*b) + 2*b - 4 + 4 + 0 + 0 + b)*(-4 + 2 - 1). -9*b Expand ((0 + 0 - 4*k)*(1 - 5 + 2) + 2*k + k - k + 2*k + 2 - 2 + 2 - 5*k - 2)*(1 - 1 - 2*k). -14*k**2 Expand 0*u**3 + 6*u**3 - 3*u**3 + 3*u**3 - u**3 - 6*u**3 + u**3 + 7*u**3 - 5*u**3 + (-2*u - 3 + 3)*(7*u**2 - u**2 - 4*u**2). -2*u**3 Expand (-g + 0*g + 4*g)*(3*g + g - g) - 4*g + 2*g**2 + 4*g + 1 - g**2 - 1 + (-2*g + 3*g - 3*g)*(3*g + 0*g - g) - 2*g**2 + 3 - 3 - g**2 + 0*g**2 + 3*g**2. 6*g**2 Expand (3 + 0 - 4)*(-10 + 10 + 8*m**2) + 3*m**2 - 3*m**2 + m**2. -7*m**2 Expand (-3*x**3 + 4*x**3 - 3*x**3)*(-5 - 2 + 3)*(-2 + 6 - 3). 8*x**3 Expand (-3 + 3 + 2)*(-4*q + q + q) - 8*q - 9*q + 56*q. 35*q Expand (-4*h**5 + 2*h**3 - 2*h**3)*(-8 + 2 + 1). 20*h**5 Expand p**2 - 73 + 0*p**3 + 74 + 2*p**3 + (2*p**2 - 2*p**2 + 2*p**2)*(-2*p + p + 2*p). 4*p**3 + p**2 + 1 Expand 2*w - 2*w + 8*w + 0 + 0 + w + 3*w - 3*w - 2*w + (-w + 2*w + w)*(5 - 2 - 4) + 3*w + w - 6*w. 3*w Expand (-2*v**3 + 4*v**3 - v**3)*(-2 - 17 - 15). -34*v**3 Expand 3*u**5 - 3*u**2 + 3*u**2 + 2*u**5 + 0*u**3 + 0*u**3 + (5*u**4 - u**4 - 2*u**4)*(u - 3*u + 3*u) + 8*u**5 - 2*u**5 + 17*u**5. 30*u**5 Expand (-50 + 50 + 14*p)*(-3 + 0 + 4) - p + 2 - 2. 13*p Expand (-2 - 1 + 4)*(1 - 1 + 1)*(-4*x + x + 0*x)*(1 + 4*x**2 - 1). -12*x**3 Expand (2*d**3 - 4*d**3 + 0*d**3)*(-d + 8*d**2 - 8*d**2 - 2*d**2). 4*d**5 + 2*d**4 Expand (9 - 9 + 4*v)*(4 - 6 + 3 + (2 + 0 + 0)*(-3 + 7 - 3) + 1 - 2 + 3). 20*v Expand (-2*u**2 - u**2 + u**2 - 3*u**2 + u**2 - u**2 + (-3 + 3 - u)*(-2 - u + 2))*(u**2 - 2*u**2 + 3*u**2). -8*u**4 Expand (1 + 3 - 2)*(-2 - a - 4 - a). -4*a - 12 Expand -2212*z**2 + 2212*z**2 + 47*z**3 + (0*z**2 + 3*z**2 - 4*z**2)*(-2*z + 5*z - z) - 3*z + 3*z + z**3 + 0*z**3 - 2*z**3 + 4*z**3. 48*z**3 Expand (h - 3 + 3 + (-4 + 2 + 4)*(-1 + 1 - 2*h))*(-2*h**4 - 2*h**4 - 2*h**4 + (-2*h + 0 + 0)*(0*h + 2*h**3 + 0*h) + 0*h**4 + 0*h**4 - h**4). 33*h**5 Expand (5*y - 17*y + 0*y)*(-y**2 - y**2 + 3*y**2) + 3*y**3 + y**3 - 2*y**3. -10*y**3 Expand (0*p**2 + 2*p**2 + 0*p**2)*(-2*p + 0*p - 5*p) + 2*p**3 - 6*p**3 + 3*p**3. -15*p**3 Expand (0 - 2*o + 0)*(-o**4 + 2*o**4 - 5*o**4). 8*o**5 Expand (-3*r**3 + 4*r**3 - 2*r**3 + 0*r**3 + 4*r**3 - 2*r**3 + (4*r**2 - r**2 - 2*r**2)*(-1 + 1 + 2*r) + r**3 - 3*r**3 + 3*r**3)*(1 + 0 + 3). 16*r**3 Expand (-2*p + 2*p - 3*p)*(-14 - 5*p + 14) - 2*p**2 + 0*p**2 + p**2. 14*p**2 Expand (0 + 3 - 5)*(0*k**2 - 2*k**2 - 3*k**2)*(2*k + 0*k + 0*k). 20*k**3 Expand (3 - 6 + 5)*(185 - 185 - i) + 3*i + 2*i - 6*i. -3*i Expand (23*x**3 - 34*x**3 + 58*x**3 + 98*x**3)*(-2*x - 2*x + 3*x). -145*x**4 Expand (4*z - z**5 - 4*z + (-12*z + 8*z - 13*z)*(0*z**3 + 0*z**3 + 2*z**4))*(1 - 2 + 3). -70*z**5 Expand (-3*n - n + 2*n**3 + 2*n)*(0*n**2 + 0*n**2 - 8*n**2). -16*n**5 + 16*n**3 Expand 2*d + 4*d - 3*d + (-1 - 2*d + 1)*(2 - 2 + 2) + d - 7*d + 3*d + (4*d - 6*d + 5*d)*(-1 - 1 + 1). -7*d Expand (-4*t - 3*t - t)*(-1 - 1 + 1)*(t + 0*t + t). 16*t**2 Expand -d**5 - 3*d**5 + d**5 - 3*d**5 + 0*d**5 + 9*d**5 + (0*d - 2*d + 0*d)*(2 + 2*d**4 - 2). -d**5 Expand (3*k**3 - 3*k**3 - 2*k**4)*(-3*k + 0*k + k) + (-5 + 5 + k**2)*(-k**3 + 0*k + 0*k). 3*k**5 Expand (4*l + 1 - l + 0*l)*(-4 - 2 + 1). -15*l - 5 Expand -3*q**3 + 2*q**3 + 3*q**3 + (3 - 3 + 2)*(0 + q**3 + 0) + q**3 + q**3 + 3*q**3. 9*q**3 Expand (2*m - m**4 - 2*m)*((4 - 2 - 1)*(-3 + 3 - 3) - 1 + 0 - 1). 5*m**4 Expand l**5 - l**5 + l**5 + (-3*l + 7*l + 0*l)*(0*l**4 + 2*l**4 + l**4). 13*l**5 Expand (11*i - 2 + 0*i - i)*(3 + 0 - 1)*(6 - 6 - 5*i). -100*i**2 + 20*i Expand (0 + 2 - 1 + (1 - 3 + 1)*(4 + 3 - 4) - 2 + 0 - 2)*(2*p**2 - 1 + 1). -12*p**2 Expand 0*p**4 + 2*p**4 + 0*p**4 - 4 + 9*p**4 + 4 + (0*p**3 + 0*p**3 - 2*p**3)*(-p + p + p). 9*p**4 Expand 3*v - 2*v + 0*v - 6*v + 0*v + 4*v + (-5 + 3 + 0)*(-8*v - v + 3*v) + 4*v - 3*v + 0*v. 12*v Expand -51 - 22*m**2 + 51 + 2*m - m**2 - 2*m + (2*m + 0*m - m)*(3*m - 4*m - m) - 7*m**2 + 4*m**2 + 4*m**2 - m**2 - m**2 + 0*m**2 + 2*m**2 - 3*m**2 + 2*m**2. -25*m**2 Expand 22*j - 22*j + 14*j**5 + (-2 + 1 + 2)*(-3*j**5 - 3*j**5 + 4*j**5). 12*j**5 Expand 2*s**3 - 5*s**3 + s**3 - 5*s**3 + 2*s**3 + s**3 + (2 - s**2 - 2)*(0*s - s + 0*s) - s**3 - s**3 + 0*s**3. -5*s**3 Expand -6*q - 8*q**4 + 10*q - 3*q + (q**3 + 0*q**3 + 0*q**3)*(q + 5*q - 4*q). -6*q**4 + q Expand (3 + u**2 - 3)*(u**2 - 6*u + 8*u + 4*u**2). 5*u**4 + 2*u**3 Expand (-9*a - 9 + 9)*(-2 + 2 - 1)*(-2 + 2 + 3*a). 27*a**2 Expand 3*v**4 + 0*v**2 + 0*v**2 + (4*v**4 - 3*v**4 + v**4)*(3 + 6 - 5). 11*v**4 Expand (-3 + 4 + 2 + 4 + 1 - 4 + 1 + 2 - 1 + (0 + 1 + 0)*(2 + 3 - 7) + 2 - 1 + 0)*((-z**2 - 1 + 1)*(4*z + z - 2*z) - 1 + z**3 + 1). -10*z**3 Expand (-5*y**3 + 0*y**3 + 3*y**3)*(-2 + 2 + 6)*(2 - 1 + 0). -12*y**3 Expand (-8 + 26 + 6)*(-2 + 2*d + 2). 48*d Expand (t**2 - 2*t**2 - t**2 + (2*t - 4*t + 0*t)*(-t - 3*t + 5*t) + 3*t**2 + t**2 - 3*t**2 + 0*t**2 + 0*t**2 + t**2)*(6*t**3 - t**3 - 3 + 2). -10*t**5 + 2*t**2 Expand -3*j**2 - 2*j**2 + 3*j**2 + (4*j - 6*j + j)*(1 - 1 - 2*j) + 2*j - 2*j + j**2 + 5*j**2 - 2*j**2 - 2*j**2 + (j - j - 4*j)*(5*j - 5*j - 3*j). 14*j**2 Expand ((-3 + 3 - 1)*(8 - 1 + 1) - 1 - 1 + 1)*(r + r + 0*r). -18*r Expand (1 - 1 - 4*b)*(-5 - 10 + 6 + (-3 + 5 - 1)*(1 - 2 - 1)). 44*b Expand (-3*r**2 + 5 - 5)*(-3 - 10 + 1). 36*r**2 Expand (0*u**3 + 2*u**3 - 3*u**3)*(-3 + u**2 + 3)*(2 - 1 - 7). 6*u**5 Expand 0 + 2 - c**2 + 0*c**2 - 2*c**2 + 2*c**2 - 2*c**2 + (0 - 4 + 3)*(2*c**2 + 2 - 2) + c**2 - 3*c**2 + 3*c**2 - c - 2*c**2 + c. -6*c**2 + 2 Expa
{ "pile_set_name": "DM Mathematics" }
ue in -4, -2, 4.6634633? -4 What is the second biggest value in -0.01, -149, 0.2, 0.1, -13, 2, 39? 2 What is the fourth smallest value in -3, -2/767, 0.4, 0.3, 0.5, 2, -62? 0.3 Which is the third smallest value? (a) 430 (b) -75 (c) 163 a What is the fifth biggest value in 2, 2/23, -0.3, -5, -3, 6/7, 0.0023? -0.3 What is the second smallest value in -2/9, -35655, 57? -2/9 What is the third smallest value in 1, -48, -1/8, -2/9, 3983? -1/8 What is the third smallest value in 1, -1/1454, 1/41, -0.1, -0.4? -1/1454 What is the third smallest value in -29, 6, -155.2? 6 What is the third smallest value in 2/3, 286/19, 0.4, -177? 2/3 What is the smallest value in -1, 1087/2, -1/42, 1/7? -1 What is the third smallest value in 0.5, 2/7, 5/4, -7/4129, -5, 261? 2/7 What is the fourth biggest value in -0.0843316, -5, -4, 5, -0.3? -4 What is the second smallest value in -2/323, 19, -101? -2/323 Which is the third smallest value? (a) 120 (b) -5 (c) 2064 (d) -5/4 a What is the second smallest value in 290, -2/7, -44, -28? -28 Which is the seventh smallest value? (a) 2/7 (b) -0.03 (c) 0.08 (d) -5 (e) -240 (f) 2 (g) 1/8 f What is the smallest value in 0.7, -5150/9, -2, 2? -5150/9 What is the smallest value in 9, 12, 12409, 3/2, -0.05? -0.05 Which is the fourth biggest value? (a) -5923 (b) 3/11 (c) 10 (d) -6 a Which is the third biggest value? (a) -17/400 (b) -2 (c) 712 (d) 1 a Which is the third smallest value? (a) -8/39 (b) 26 (c) 2/71 b What is the third biggest value in 0.1213, -0.04, 3/4, -13, 1/9, 2/41? 1/9 What is the smallest value in 1, -267, 3/58, 0.07, 1/4? -267 What is the third biggest value in -2/9, 129/4, 0.126, -1, 0, -0.047? 0 Which is the fifth smallest value? (a) -0.1 (b) 5 (c) 0.1 (d) 2 (e) 1750 (f) -3 b Which is the fifth biggest value? (a) -3 (b) 0.5 (c) -1/2 (d) 4/9 (e) -5/3 (f) -0.2 (g) -2/9 c What is the fourth biggest value in -0.3, 0.69, 0.3, -333, -4, 1? -0.3 Which is the fourth smallest value? (a) -12.919 (b) -0.5 (c) -2/9 (d) 2 (e) -23 (f) -0.02 c What is the second smallest value in 11, -11/31, 3, 139, 34? 3 What is the second biggest value in -6/311, 44, -0.3, -2/13? -6/311 What is the fifth biggest value in 3, -4, -6.9, 2, 3924? -6.9 Which is the fifth smallest value? (a) 122 (b) 3/5 (c) -2 (d) -4785.3 (e) 0.2 a What is the third biggest value in -1.3, -4/3, 26, 0.4, -3.1, 1/8? 1/8 Which is the second smallest value? (a) 182/5 (b) -8.45 (c) -3 (d) 12 c Which is the fourth smallest value? (a) 0.1 (b) 0 (c) 76972/5 (d) 0.9 c What is the sixth smallest value in 4, 3/2, -0.44, -0.2, 1207, -2/13, -4? 4 What is the seventh smallest value in 15, -4, 0.05, -0.1, 12, 1/4, 2/19? 15 Which is the second smallest value? (a) -2/5101 (b) 35801 (c) -2/11 a Which is the second biggest value? (a) 0.4 (b) 2491118 (c) 1/2 c What is the third biggest value in -16160, 0.3, -538.2? -16160 Which is the fifth biggest value? (a) 0 (b) 2 (c) 0.4 (d) -2773/13 (e) 3 (f) -0.5 f Which is the smallest value? (a) 82 (b) -2209 (c) -2/9 (d) -1/3 (e) -2/11 (f) 2/13 (g) 15 b Which is the second biggest value? (a) -4/3 (b) 4 (c) -10 (d) -7 (e) -3/562 e What is the second smallest value in 4, -7, -5, -9109, -17, 9? -17 Which is the third biggest value? (a) -0.27 (b) 0.12 (c) 62 (d) 7 (e) 0.1 b What is the smallest value in 34, -108.96, 7, -1? -108.96 Which is the second smallest value? (a) -1/6 (b) 0.1498 (c) -48 (d) 7 (e) 1/2 a What is the second biggest value in -26, 2, -2/7, 5/4, -4/41, -1/11? 5/4 What is the biggest value in 2/25, 1/3197, 1/3? 1/3 Which is the smallest value? (a) -1/3 (b) -0.025 (c) -7538/15 c What is the third biggest value in 0.02, 1037, 0.00294? 0.00294 What is the fourth smallest value in -28, -0.2, 6308, -27? 6308 What is the smallest value in -799, 8/5, -1, 2, -2, 1? -799 Which is the fifth smallest value? (a) 0.5 (b) 1/12 (c) 4 (d) -0.4122 (e) 0.11 c What is the third biggest value in -2, 0, 15, 0.9, 1/3, 0.4, -1/6? 0.4 Which is the second smallest value? (a) -3 (b) -9 (c) 2695 (d) 3/4 (e) -1 a Which is the fourth biggest value? (a) 4 (b) -4 (c) 2 (d) 0.1 (e) 1322 (f) -3/4 (g) 7 c What is the fifth smallest value in -2/3, -14, 0.5, -1, 5/23, 814? 0.5 What is the second smallest value in -0.3, 2, 2810313, 0.1? 0.1 Which is the biggest value? (a) 0.324 (b) -1.8 (c) 57 (d) 0.3 (e) -2 (f) 4 c What is the smallest value in 0.07, -4922645, -0.08? -4922645 Which is the third smallest value? (a) 4 (b) -1/945 (c) -3 (d) -12 b What is the second biggest value in 0.4, -2.781, 0.09, -11, -0.4, 5? 0.4 Which is the second smallest value? (a) -0.3 (b) 0 (c) 0.033 (d) 8/9 (e) 6 (f) -53 a Which is the biggest value? (a) 85 (b) -96 (c) -10902 a Which is the fifth biggest value? (a) 3/11 (b) -5 (c) 286 (d) -2 (e) 2/5 (f) -2/7 (g) -0.09 f What is the smallest value in -5.4, -0.531, -1/3, 13, -2, 4? -5.4 Which is the third smallest value? (a) -44 (b) -36 (c) -0.478 c Which is the second smallest value? (a) -0.2 (b) 4.4821 (c) 2 (d) -1/2 a What is the fourth biggest value in 0.2, -0.07, 12, 3/187, -5? -0.07 What is the second biggest value in -4.579, -43, 5? -4.579 What is the biggest value in 23284, 0.5, 0.1, -11, -0.4? 23284 Which is the third smallest value? (a) 46/5 (b) -2 (c) 1 (d) 17 (e) -2/115 c Which is the biggest value? (a) -9 (b) 9 (c) -39 (d) 5 (e) -4.69 b What is the third smallest value in 2/31, 0.2, 0.8271, 0? 0.2 Which is the second smallest value? (a) -0.2 (b) 3/299 (c) 886 b What is the seventh smallest value in 2/21, 2, -10, 251, -0.1, -5, -30? 251 Which is the second smallest value? (a) 1/3 (b) 1/2 (c) 8 (d) -1/2 (e) 2/5 a What is the smallest value in -3/4, -4, -1, -381, 0.34, -5? -381 What is the fifth biggest value in -1, -2/163, 0.0011, 1/2, 0.09? -1 Which is the fifth biggest value? (a) 0 (b) -39 (c) 346 (d) -48 (e) -1/2 d What is the sixth smallest value in 22, -2, 17, 5, 0.026, 6/19? 22 Which is the biggest value? (a) -1/4 (b) 5 (c) -1/19 (d) 1/4 (e) -204 b Which is the second biggest value? (a) -0.476 (b) -4 (c) 1/7 (d) -2/497 d Which is the fifth smallest value? (a) -2/3 (b) 3441 (c) 2/7 (d) 2/5 (e) 0 (f) 0.3 (g) -2/7 f Which is the third biggest value? (a) 2517 (b) -4 (c) 0.2 (d) 166/15 (e) -1 c Which is the third smallest value? (a) -8 (b) 273 (c) 3/287 (d) 1/2 d Which is the sixth smallest value? (a) 2/7 (b) -0.03 (c) 5 (d) -518 (e) 2/3 (f) 58 f What is the second biggest value in -0.2, 40993, -1/15, -5/2? -1/15 Which is the biggest value? (a) -0.061 (b) 1 (c) 97873 c Which is the smallest value? (a) 0.42271 (b) 0.04 (c) 0.6 b What is the second smallest value in 2/15, 6, 0, -1/5, -1, 957, 84? -1/5 What is the second biggest value in 3.2, 0.2, 1278813, 2? 3.2 Which is the fourth smallest value? (a) 1/5 (b) -1/3 (c) -41858 (d) -2/113 (e) 2/59 e Which is the second biggest value? (a) 4 (b) -738 (c) -9/8 (d) 0.8 d Which is the fifth biggest value? (a) -3/221 (b) 1 (c) 2/5 (d) 0 (e) -0.02 (f) -3 e Which is the biggest value? (a) 7 (b) -1.5 (c) 4/23 (d) -3/28 (e) 1 (f) 3 a Which is the fourth biggest value? (a) -1795.6 (b) -1/6 (c) -1 (d) 5 a What is the biggest value in -1/2, -2/97, -2, 1/141, -1? 1/141 Which is the smallest value? (a) 7 (b) 2 (c) 0.7 (d) -4175 d What is the fourth biggest value in 53, 3/7, 9/4, 3/4, -18, 10? 3/4 Which is the biggest value? (a) -4397/2 (b) 370 (c) -8 b Which is the biggest value? (a) -0.2 (b) 2/7 (c) 0 (d) 19/730 (e) -4/7 b What is the second biggest value in -3447, -0.6, 2/5, -8, -3/8, 2/37? 2/37 What is the smallest value in 730, 2/97, 0.1, 1, -2, 1/8, 40? -2 What is the fourth smallest value in 69, -10/9, -5, -2655? 69 Which is the second smallest value? (a) 10/83 (b) 2/11 (c) -0.1226 (d) -0.05 (e) -5 c What is the second smallest value in -1/4, 3/2, 5, -170, -0.6, 2/105, 1? -0.6 What is the fourth smallest value in 2, 7704918, -20, 0.3? 7704918 Which is the second smallest value? (a) 0.86 (b) -108.2 (c) -0.4 (d) -301 (e) -3 (f) 5 b Which is the sixth smallest value? (a) -1/4 (b) 19 (c) 2/19 (d) -5 (e) 2 (f) 17 (g) 0.06 f Which is the bigge
{ "pile_set_name": "DM Mathematics" }
of z? 8 Let y = -10042 - -14937. What is the tens digit of y? 9 Let i(b) be the third derivative of -b**6/120 + b**5/15 + 7*b**4/24 - b**3 + 21*b**2. What is the units digit of i(-5)? 4 Let j(q) = 3*q**2 - 36*q - 303. What is the thousands digit of j(-31)? 3 Suppose 2*q = -5*p + 2770, -5*p = -24*q + 20*q - 2740. What is the hundreds digit of p? 5 Let n(s) = s**2 + 4*s - 7. Let i be n(-6). Suppose 81 = i*f - 114. Suppose 10*z = 7*z + f. What is the units digit of z? 3 Suppose 0 = -6*c + 10*c - 588. Suppose c + 241 = 4*p. What is the units digit of p? 7 Suppose 185*z - 198*z + 49582 = 0. What is the tens digit of z? 1 Suppose s + 5*z = -10 - 8, -5*z = 3*s + 14. Let u be (1 - s)/(2/(-4)). Suppose 24 = 2*n - 4*g, -u*g - 34 = -4*n - g. What is the units digit of n? 8 Let u = -394 + 210. Let y = 275 + u. What is the tens digit of y? 9 Suppose 5*m + 4*l - 2350 = 0, l - 4 = 1. What is the units digit of m? 6 Let k be 3/((-60)/25 - -3). Suppose k*s + 2*d - 80 = 170, -109 = -2*s + d. What is the tens digit of s? 5 Let z = 44 - -246. What is the hundreds digit of z? 2 Let f be (-36)/8*10/(-45)*138. What is the units digit of (-3 - f/4)*(-2 + -4)? 5 Let z(v) = 7*v**2 - 38*v + 12. What is the tens digit of z(13)? 0 Suppose 10*j + 4046 = 15*j + 3*z, 0 = -4*z + 8. What is the tens digit of j? 0 Suppose -73 = -3*u + u - x, 4*u - 4*x = 152. What is the units digit of 2/8*0 + u? 7 What is the tens digit of (-20)/(-30) + 1 + (-3337)/(-3)? 1 Suppose 0 = -14*h + 9*h + 9015. What is the units digit of h? 3 Suppose -8 = -13*n + 9*n. Suppose 855 = 5*b + 5*g, -4*g = -4*b - n*g + 690. What is the units digit of b? 2 Suppose 0 = -g + 5*v + 4, 3*g + v = 4*g + 8. Let k(j) = -j**2 - 18*j - 19. What is the units digit of k(g)? 8 Let j(s) = 229*s**2 - 56*s + 79. What is the tens digit of j(5)? 2 Suppose 3*q = s - 218, 5*q + 412 = 3*s + 46. Let b = 80 - q. What is the tens digit of b? 5 Let p(r) = -6 - 3*r + r + r. Let a be p(-7). What is the units digit of 1/(-1 - (a - 3))? 1 Let f = -144 - -79. Let v = f + 99. What is the units digit of v? 4 Suppose -2284 = -4*l - 4*i + 4604, -4*l = i - 6897. What is the units digit of l? 5 Let x(q) = 30*q**2 + 13*q - 3. What is the hundreds digit of x(-3)? 2 Suppose 3*v - 4885 = 737. What is the tens digit of v? 7 Let f = -916 - -1921. What is the hundreds digit of f? 0 Let z = -114 + 314. Suppose z = 3*r + 2*r. Suppose 7*l - 2*l = -5*p + r, -3*p = l - 28. What is the units digit of p? 0 Let z be (-52)/(-13) - 0/(-1). Suppose 5*g - z*b + 0*b = 778, 4*b - 644 = -4*g. What is the hundreds digit of g? 1 Suppose -6*b - 3339 = 3*b. Let i = 542 + b. What is the tens digit of i? 7 Let a = -66 + 67. What is the units digit of (12*38/4 - 0)*a? 4 Suppose 3729 = 6*y - 13887. What is the hundreds digit of y? 9 Suppose -4*k + 0*k + 288 = 0. Let y = k + -27. What is the units digit of y? 5 Let j = 962 + -477. What is the units digit of j? 5 Let s = -177 - -622. What is the tens digit of s? 4 Suppose -5*z + 311 = 4*u, 4*u - 9*z = -6*z + 319. What is the tens digit of u? 7 Suppose -100*q + 103*q - 357 = 0. What is the units digit of q? 9 Let t = -12 + 28. Let h be (4 - 3 - 1)/2. Let v = t + h. What is the tens digit of v? 1 Suppose -20*h + 16*h - 6 = -2*f, -2*h + 49 = 3*f. What is the units digit of f? 3 Let z be (7 + 0)*720/42. Suppose -3*q = 3*x - 4*x + 30, 4*x - z = -5*q. Suppose -5*c - x = -85. What is the units digit of c? 1 Let l(v) = 56*v + 93. What is the tens digit of l(9)? 9 Suppose -4*v = 5*j - 6992, -5*j + 3013 + 3973 = 2*v. What is the tens digit of j? 9 Let z be 3/(5*(-2)/(-10)). Suppose 5*d + 4*u - 169 - 307 = 0, 3*d - z*u - 291 = 0. What is the tens digit of d? 9 What is the tens digit of 18/5*(-28670)/(-141)? 3 Let m = -29 - -28. What is the tens digit of (-352)/(-10) - m*(-7)/35? 3 Let y = 36 + -28. Suppose 5*j = y + 47. What is the units digit of j? 1 What is the units digit of (-1 + (4 - 7))*301/(-2)? 2 Let n = 283 - 195. Let d = n + -13. What is the tens digit of d? 7 Let x(o) = 11*o**2 + 6*o + 2. Suppose -5*m - 4 = 6. What is the units digit of x(m)? 4 Let l(b) = 864*b - 812. What is the tens digit of l(6)? 7 Let o(q) = -q**3 + 21*q**2 + 68*q + 36. What is the hundreds digit of o(21)? 4 Let j(r) = -r**2 + 2*r + 168. Suppose 0 = f - 3*f + f. What is the hundreds digit of j(f)? 1 Suppose 25 = 5*g, -2*z - g - 3339 = -6*z. What is the tens digit of z? 3 What is the hundreds digit of ((-39)/(-9) - 1)*3264/40? 2 Suppose y = 4*u - 1727, -2*y + 5*y - 15 = 0. What is the hundreds digit of u? 4 Suppose -215*c + 182*c + 43131 = 0. What is the hundreds digit of c? 3 Suppose -18*u = -23*u - 50. What is the tens digit of (-532)/u + 3/(-15)? 5 What is the thousands digit of (386/3)/((-202)/(-2727))? 1 Let j(x) = -61*x + 119*x + 4 - 67*x. What is the units digit of j(-15)? 9 Suppose 0 = -22*q + 48103 + 52239. What is the thousands digit of q? 4 Suppose -v = 11*v - 2808. What is the units digit of v? 4 Let t be -21*(3 + -2 - 3). Suppose 3*w + 5*a - 49 = 5*w, 4*a = -3*w - 16. Let v = w + t. What is the units digit of v? 0 Let t(u) = -u + 6. Let i be t(4). Suppose -i*s - 3*s = -20. Suppose -n + 30 = n - 2*k, 0 = s*k - 8. What is the tens digit of n? 1 Let h be 36/(-54) + (-4)/(-6). Suppose 5*g + 22 = 62. Suppose o + o - g = h. What is the units digit of o? 4 Let z(q) = q**3 + 6*q**2 - 11*q - 4. Let x be z(6). Suppose -120 + x = u. What is the hundreds digit of u? 2 Suppose 4*c - 5*y = -2*y, 0 = c + 2*y - 11. Suppose 0 = -0*v + 3*v - 375. Suppose 2*m = -4*i + 70, -c*m + v = m + 3*i. What is the units digit of m? 9 Let a(i) = 255*i + 15. Let m be a(4). What is the units digit of 2/(-4) + m/10? 3 Let m(k) = 4*k + 5. Let o(r) = -1. Let d(y) = m(y) + 2*o(y). Let q be d(5). What is the tens digit of q/3*(-1 - -4)? 2 What is the hundreds digit of (110 + 273)*2/2? 3 Suppose -4*q + 1079 - 3471 = -k, -5*k + 11942 = -2*q. What is the hundreds digit of k? 3 Suppose 0 = 13*i - 2226 - 634. What is the hundreds digit of i? 2 Suppose -12*o = -2504 - 12496. What is the tens digit of o? 5 Let n(h) = -2*h**2 + 9*h + 17. Let m be n(9). Let a = m - -312. What is the units digit of a? 8 Suppose 0 = 6*f - 3375 + 675. Suppose 5*v + 5*v = f. What is the tens digit of v? 4 Let z(n) = n**2 + 16. What is the tens digit of z(-13)? 8 Suppose -30*f + 739 = 5*b - 26*f, -4*b = -f - 608. What is the tens digit of b? 5 Let f be 0/6*(-4)/(-8). Suppose -2*i - 5*s + 55 = f, 4*i + 0*s + 2*s - 134 = 0. What is the tens digit of i? 3 Let r(w) = -w**3 + 16*w**2 + 7*w - 10. Let m be r(11). Suppose -9*s + m = -s. What is the tens digit of s? 8 Suppose 0*j + 1 = 3*j - 2*g, -4*j = -4*g + 4. Let y be 168/(-35)*(2 + (-16)/3). Suppose -p - j = -y. What is the units digit of p? 3 Let k(g) = -6*g. Let c be k(6). What is the tens digit of ((-220)/12 + -5)*c/10? 8 Let w = -836 + 1460. What is the units digit of w? 4 Suppose 0 = 8*u + 43 + 5. Let p(k) = k**2 - 2*k - 22. What is the units digit of p(u)? 6 Suppose -4*q + 4 = 48. Let h(p) = -3*p**2 + 23*p + 27. Let z(x) = x**2 - 8*x - 9. Let m(u) = q*z(u) - 4*h(u). What is the tens digit of m(8)? 2 What is the hundreds digit of (233 + 0 + 1)/(-3 + 4)? 2 Let o be ((-10)/15)/((-1)/6). Let y = o - 2. Suppose 0 = y*j + 14 - 36. What is the tens digit of j? 1 Let g(q) = q**2 + 17*q + 18. Let u(i) = i**2 - 23*i + 26. Let s be u(21). What is the units digit of g(s)? 2 What is the units digit of ((-2481)/9)/((-8)/24)? 7 Let y(n) = 56*n**2 + 31*n - 165. What is the units digit of y(6)? 7 Suppose -5*d + 2*c - 32 = 5*c, -d - 5*c - 24 = 0. What is the hundreds digit of d/(-22) - -28*(-160)/(-44)? 1 Let v(b) = -3*b**3 + 9*b**2 + b - 2. Let x(j) = -3*j**3 - 2*j + j**3 + 5*j**3 + j**3 + 1 - 10*j**2. Let c(r) = 3*v(r) + 2*x(r). What is the units digit of c(5)? 1 Suppose 2970 - 17358 = -33*q. What is the units digit of q? 6 Let k(u) = 2*u**2 + 2*u. Let j be k(1). Suppose 0*v = -4*a + 5*v + 819, 4*a - j*v = 820. What is the units digit of a? 6 Let s = -23 + 4. Let c(i) = i**3 + 18*i**2 - 22*i - 26. What is the tens digit of c(s)? 3 Let y = 8130 - 3882. Suppose -8*p - y = -26*p. What is the tens digit of p? 3 Suppose -2*g + 441 = -y, y + 894 = 4*g + 3*y. What is the hundreds digit of g? 2 Let k be ((-24)/20)/(10/(-25)). Suppose -3*a + 1 = k*h - 8, 4*a - h = -8. What is th
{ "pile_set_name": "DM Mathematics" }
, 5, 0.1? -10/3 What is the closest to 1/3 in -6, -0.4, 4/23, -0.1? 4/23 What is the nearest to -3 in -1.3, -0.5, 0, -0.3? -1.3 What is the closest to -0.5 in 0.1, -0.05, -0.8, 3? -0.8 Which is the nearest to 0.1? (a) 2 (b) 5 (c) -3/2 (d) 0.2 d What is the nearest to 0.1 in -0.4, -4/13, 0.5, 3? 0.5 Which is the nearest to 2/3? (a) -3 (b) 3 (c) 329 (d) 0.5 d What is the closest to -1/6 in 3/4, 0.4, -0.3, -1? -0.3 Which is the nearest to 1? (a) 0 (b) -5 (c) -2/5 a Which is the nearest to -1? (a) 0 (b) -4 (c) -73 (d) 3 a Which is the nearest to 0.1? (a) -0.4 (b) -1/6 (c) 0.13 (d) -1/2 c Which is the nearest to -1? (a) 3/4 (b) -0.2 (c) 4 (d) 0.5 b What is the nearest to 0 in 4/9, -0.5, -3/2, -4? 4/9 Which is the nearest to 2? (a) 1 (b) -8 (c) -1/44 (d) -0.1 a Which is the closest to -1/3? (a) 0.2 (b) 6 (c) 0.4 (d) 2/9 a What is the closest to 4/5 in 2, 1, 2/9, -24? 1 What is the nearest to 2 in 5, -0.034, 4? 4 Which is the closest to -1/2? (a) -0.5 (b) 3/16 (c) -0.6 a Which is the closest to -80? (a) -0.2 (b) 2/7 (c) 3 a What is the nearest to 0 in 3/4, 25/8, -1/3, -2? -1/3 What is the nearest to 1.471 in -5, 1, -0.4? 1 Which is the nearest to 9? (a) -0.5 (b) -4 (c) -0.1 c Which is the closest to 2? (a) -3 (b) 1/9 (c) -1/2 (d) 0.2 d Which is the nearest to -0.1? (a) -4 (b) 0 (c) 2 (d) 4 b Which is the closest to 2/11? (a) 2/3 (b) -6/7 (c) 1 a Which is the closest to -0.2? (a) 0 (b) -1 (c) 3 (d) -4/9 a Which is the nearest to -4? (a) 1/7 (b) 149 (c) -1/6 (d) 1 c Which is the closest to -0.01? (a) 0.3 (b) 4 (c) -3 (d) 0 d What is the nearest to -0.02 in 3/8, 5, -103? 3/8 What is the nearest to -14 in -1/5, -5, 5, -2/7? -5 Which is the closest to -1? (a) -23 (b) 0.2 (c) 0 c What is the closest to 0 in -1, 0.19, 5/3, 0.1? 0.1 What is the nearest to -4 in -7, -0.5, -0.3? -7 What is the nearest to 1/5 in 2/17, -2/21, -3? 2/17 Which is the closest to 0? (a) -1/11 (b) -1 (c) -132 a Which is the closest to 2/57? (a) -1 (b) 5 (c) 6/5 (d) 0 d What is the nearest to 0.1 in -25, 0.5, -5? 0.5 Which is the nearest to 1/3? (a) 22 (b) 0.1 (c) -4 (d) -5 b What is the closest to -237 in -5, -0.3, -2, -4? -5 What is the closest to 5 in 1/5, 3, -3/5, 0? 3 Which is the nearest to -1? (a) -3/8 (b) 4 (c) 9 (d) 0.3 a Which is the closest to 0? (a) 0.41 (b) 3 (c) 1/12 c What is the nearest to 0 in -2/5, 4, -2? -2/5 Which is the nearest to -0.1? (a) 3/2 (b) -1/19 (c) -4/5 (d) -5 b What is the closest to 0.2 in 1, 1/7, 3/8, -5? 1/7 Which is the nearest to -1? (a) 45 (b) -0.5 (c) -4/7 c Which is the closest to -2/7? (a) -3 (b) -2063 (c) -0.1 (d) -2/3 c Which is the closest to 4? (a) 4 (b) -0.7 (c) 0 a Which is the closest to 1/18? (a) 0 (b) -5 (c) 0.02 c What is the closest to 1 in 27, -1/4, -4, 4? -1/4 Which is the closest to -3? (a) 5 (b) -1 (c) 0 (d) -4 d Which is the closest to 4? (a) -3 (b) -4 (c) -1/6 (d) -16 c Which is the nearest to 1/3? (a) -8 (b) -4 (c) 4 (d) 0.4 d Which is the closest to 48? (a) 4 (b) 41 (c) -2/9 b Which is the nearest to 69? (a) 5 (b) -1/5 (c) -4 (d) 3 a What is the nearest to -2/3 in -324, -4, -3/4? -3/4 What is the closest to -0.1 in -4/297, -4, 2/13? -4/297 What is the closest to 0.1 in 8/3, 0.3, 3? 0.3 What is the nearest to 2/7 in 5/2, -1, 1/2? 1/2 What is the closest to -1 in -2/5, 4, 5, 0.7? -2/5 Which is the closest to 0.1? (a) -4116 (b) -5 (c) 4 c What is the closest to -45 in 0.1, 0.2, 1/2? 0.1 Which is the closest to 0? (a) -0.001 (b) -2 (c) 0.5 a Which is the nearest to -1/2? (a) 2/5 (b) 0.02 (c) 1/7 (d) -4 b Which is the closest to 1? (a) -0.1 (b) 3 (c) 22 (d) 0.3 d Which is the nearest to 10? (a) 4/3 (b) 2/5 (c) 0 (d) -9 a What is the closest to -0.5 in -0.6, 4, 2, 1? -0.6 What is the closest to -1 in 1/3, 0.1, 17/5, -7? 0.1 What is the closest to -0.1 in -62, 0.5, -8/9? 0.5 What is the nearest to 0 in 0.4, -54/13, -5? 0.4 Which is the closest to -28? (a) -1.2 (b) -2/9 (c) 0 a Which is the closest to 3? (a) 4/5 (b) 13 (c) -0.3 (d) 11 a Which is the closest to 2/9? (a) 1 (b) 4 (c) -4 a What is the closest to -1 in -0.21, -5, -0.2, -2? -0.21 Which is the closest to -0.3? (a) 1/5 (b) -19.2 (c) -3/5 c What is the nearest to -0.03 in 1/4, -4, -0.09? -0.09 What is the closest to -1 in -7, 3, 1/4, -4? 1/4 What is the nearest to 0 in -1, -1.4, 0.71? 0.71 Which is the nearest to -0.1? (a) 1 (b) 2/13 (c) 23 (d) -6 b Which is the closest to -0.3? (a) 5/2 (b) 0.1 (c) -1 b What is the nearest to -0.2 in -0.8, -5, -3/7, 2/7? -3/7 Which is the closest to 0.1? (a) 0.88 (b) 1 (c) 0.4 c What is the nearest to 0 in -0.12, 2, -3, 2/5? -0.12 Which is the nearest to -1? (a) 4 (b) -2 (c) 31/2 (d) 2 b What is the closest to -0.1 in 4, -4, -3, -0.5? -0.5 What is the nearest to -1/4 in 3, 25, 0.3, 0? 0 Which is the closest to 0? (a) 2 (b) 0.4 (c) -1/3 (d) 3 c What is the nearest to -0.1 in 0.5, -1/7, 0.4, -3? -1/7 Which is the closest to 0.3? (a) -20 (b) 5 (c) -0.3 (d) -0.4 c What is the nearest to 0.1 in 0.1, -356, -1? 0.1 What is the closest to 5 in 0.35, 4, -1/11? 4 Which is the closest to -15? (a) -3 (b) -3/7 (c) 0.1 (d) -6 d Which is the nearest to -1? (a) -2/9 (b) 0.1 (c) 5 (d) -42/19 a What is the closest to -2 in 2, -4/7, -1, 3/4? -1 Which is the closest to 1/4? (a) -0.1 (b) 0.2 (c) -1 b What is the nearest to -0.05 in -9, -4, -1.2? -1.2 Which is the nearest to 2? (a) 133 (b) 5 (c) 0.5 c What is the nearest to -2 in 1/2, 0.11, 3, 6? 0.11 Which is the nearest to 0.2? (a) 60/7 (b) -3 (c) 3 c Which is the closest to -9? (a) -24/17 (b) -0.5 (c) 0.4 a What is the closest to -1 in -7, 10, -1/2? -1/2 Which is the closest to 4/5? (a) -2 (b) -0.39 (c) -0.4 b Which is the closest to 0? (a) 2 (b) 110 (c) -1 (d) 0 d What is the nearest to 0.1 in -1, -10, -2? -1 What is the nearest to 1 in 3/7, 4/65, -2/5? 3/7 Which is the nearest to 9/4? (a) 0.4 (b) 1 (c) 5 (d) -1/4 b What is the closest to 0 in -29, 2, 5, -4? 2 What is the nearest to 0 in 0.3, -0.1, -1, -2.9? -0.1 What is the closest to -4/17 in 0.2, -0.3, 3/4? -0.3 Which is the closest to 0.55? (a) 4 (b) 1/2 (c) -5 (d) -0.5 b What is the closest to 1/2 in 5, 4, 0.5, -0.3? 0.5 Which is the closest to 1? (a) -1/7 (b) -0.4 (c) 4 a What is the closest to 2/3 in 0.1, 0, -2/9, 0.38? 0.38 Which is the nearest to -0.06? (a) 0.2 (b) -3 (c) 0.4 (d) 14 a What is the nearest to -2/7 in -1/3, -4, 2/7, 12? -1/3 Which is the nearest to 0.1? (a) 2 (b) 6 (c) -4 (d) -0.9 d What is the closest to -0.1 in 2/7, -0.2, 17, -1? -0.2 What is the closest to -28/9 in 11/2, 2/13, -5? -5 Which is the closest to 34? (a) -4 (b) 1 (c) -3 b What is the nearest to 2/3 in 0.8, 0.2, -0.5? 0.8 What is the closest to -1 in -0.098, -3/4, -0.5? -3/4 Which is the closest to -2? (a) -2/5 (b) -18 (c) 3/5 a Which is the closest to -2/5? (a) 3 (b) -1.6 (c) 1/5 c Which is the nearest to 2? (a) 0.65 (b) 5 (c) -5 a What is the closest to -1/2 in -0.5, 3, 0.032, -2/13? -0.5 What is the nearest to 1.3 in 2/11, 0.4, 0.3, -7? 0.4 What is the closest to -1/2 in 24, 5, 0.5, -1? -1 What is the closest to -1 in 4, -479, -1? -1 What is the closest to 1 in -0.3, -19, -0.4? -0.3 Which is the nearest to -1? (a) 1 (b) 11.5 (c) -0.1 (d) -6/7 d Which is the nearest to 1/5? (a) 1/4 (b) -5 (c) -3 a Which is the closest to 1/10? (a) -5/97 (b) 5 (c) 4 a What is the closest to 4 in 4/9, -112, 1/5? 4/9 Which is the nearest to 1/5? (a) 4 (b) 2/7 (c) 1/2 (d) -6 b What is the nearest to 0.26 in -0.07, 0, -0.1, -4? 0 What is the closest to -3 in -4, -4/3, -3/14, 0? -4 What is the nearest to -2 in 18, -0.9, 0.2, 8? -0.9 Which is the closest to -2? (a) 1/4 (b) -2 (c) 39 (d) -0.5 b Which is the nearest to -0.1? (a) -2 (b) 0.01 (c) 1.16 b What is the closest to 1 in 3, 0.2, 63, 0.3? 0.3 What is the closest to -0.6 in 0.2, -2.93, -1/3, -4? -1/3 Which is the nearest to 2/13? (a) -4/3 (b) -4 (c) -3 a What is the closest to -388 in 5, 0, 1, 1/5? 0 What is the closest to -97/2 in -1/9, 0.07, 2? -1/9 Which is the nearest to -7? (a) 0.8 (b) -3 (c) 0.2 (d) 3 b Which is the nearest to 2/75? (a) -5 (b) -4 (c) 0.1 (d) 2 c What is the
{ "pile_set_name": "DM Mathematics" }
n base 12, what is a5 + 1a? 103 In base 16, what is 2 + 46? 48 In base 4, what is -1131 + -2? -1133 In base 9, what is 260 + -60? 200 In base 4, what is 0 - -331? 331 In base 5, what is 1 + 101? 102 In base 9, what is 2 + -5? -3 In base 8, what is 2 - -1721? 1723 In base 9, what is 26 + -45? -18 In base 8, what is 5 - -136? 143 In base 14, what is 6b + -1? 6a In base 13, what is 5 - 1582? -157a In base 15, what is 17 + 30? 47 In base 14, what is 3 + 32? 35 In base 16, what is 1d9 + 2? 1db In base 8, what is -155 - -32? -123 In base 3, what is 11 + -120? -102 In base 3, what is -20112 - 1? -20120 In base 14, what is 18 - 4? 14 In base 16, what is 4 - 11? -d In base 12, what is 5 + 263? 268 In base 9, what is -75 - -15? -60 In base 10, what is -80 - 14? -94 In base 16, what is 19f6 - 5? 19f1 In base 10, what is 3 - 1038? -1035 In base 13, what is -157 + -5? -15c In base 4, what is 13003 - -102? 13111 In base 9, what is 650 + 3? 653 In base 8, what is -34 - 107? -143 In base 9, what is 7 + -2? 5 In base 2, what is -1101 + 101111? 100010 In base 2, what is 1001001111100 - 100? 1001001111000 In base 5, what is 211404 + -1? 211403 In base 8, what is 2 - 1002? -1000 In base 10, what is 1896 + 3? 1899 In base 4, what is -2 + -1113? -1121 In base 5, what is -2 + -1234? -1241 In base 12, what is 19 + -1? 18 In base 8, what is -10541 - 2? -10543 In base 3, what is 2011101 + -12? 2011012 In base 12, what is 3aab + 2? 3ab1 In base 14, what is -4 + c? 8 In base 7, what is 423 - 2? 421 In base 12, what is -4 - -53? 4b In base 7, what is 224 + -101? 123 In base 16, what is 2 + c? e In base 11, what is 22 - 13? a In base 7, what is -6 + -10? -16 In base 16, what is -8cd - 5? -8d2 In base 3, what is 2212 + -11012? -1100 In base 7, what is 15200 + 1? 15201 In base 12, what is 158 - -4? 160 In base 11, what is -4 + -65? -69 In base 15, what is -5 - c4? -c9 In base 5, what is 0 + -4141? -4141 In base 4, what is 3 + 31212? 31221 In base 8, what is 0 + 24? 24 In base 5, what is 314 + -112? 202 In base 9, what is 52 - -3? 55 In base 5, what is -101 + 114? 13 In base 9, what is 108 - -1? 110 In base 11, what is -343 - 5? -348 In base 4, what is -3 - 302203? -302212 In base 6, what is 5 + -150? -141 In base 2, what is 1000 + -1110? -110 In base 5, what is -2233 - -10? -2223 In base 16, what is -1 + -2d? -2e In base 16, what is -12 + 1? -11 In base 16, what is 6 + -b6? -b0 In base 2, what is 100000 - 1? 11111 In base 5, what is 241 - 0? 241 In base 13, what is -b - -71? 63 In base 14, what is 50 - -4? 54 In base 15, what is 2 + -1? 1 In base 15, what is -1 - b5? -b6 In base 6, what is -214325 + -2? -214331 In base 7, what is 1031 + -5? 1023 In base 9, what is 2368 + 0? 2368 In base 15, what is 1 - -72? 73 In base 3, what is 2 - 1121011? -1121002 In base 4, what is 22330 + 2? 22332 In base 7, what is 242 + 4? 246 In base 15, what is 13 - 34b? -338 In base 11, what is 42 - -28? 6a In base 4, what is 0 - -32? 32 In base 10, what is 1 - 50? -49 In base 11, what is -6 + -79? -84 In base 12, what is -1 - 15? -16 In base 11, what is -3 + -1953? -1956 In base 15, what is 93 + 4? 97 In base 14, what is a + d1? db In base 11, what is 2 - -12? 14 In base 9, what is 3738 + -2? 3736 In base 3, what is 2 - 1212210? -1212201 In base 3, what is -10 - 221201? -221211 In base 12, what is 1178 + 3? 117b In base 11, what is 5 + -24? -1a In base 16, what is -1 - -43? 42 In base 3, what is 1222 - -1111? 10110 In base 10, what is 54 - 72? -18 In base 15, what is 7 + -12? -a In base 6, what is 11444 - -5? 11453 In base 5, what is 1 - -20? 21 In base 12, what is -2033 + 5? -202a In base 12, what is 3a9 - 0? 3a9 In base 8, what is -2130 - -4? -2124 In base 5, what is 3 - 114? -111 In base 5, what is 32 - -433? 1020 In base 14, what is 1c3 - 6? 1bb In base 2, what is -1 - -11011100000? 11011011111 In base 2, what is 110110 - 1111? 100111 In base 9, what is -2431 - 4? -2435 In base 9, what is 3 + 185? 188 In base 8, what is 3 + -302? -277 In base 2, what is 111110 - -101? 1000011 In base 8, what is 12 + -30? -16 In base 16, what is 6 + -6? 0 In base 4, what is -11 + -3000? -3011 In base 10, what is -2069 + 1? -2068 In base 16, what is 1 + -dd9? -dd8 In base 3, what is 10000 + 11? 10011 In base 6, what is -1 - 333? -334 In base 16, what is f4 - -6? fa In base 3, what is 11021 + -12? 11002 In base 7, what is 20 + -2110? -2060 In base 15, what is 4 - -49? 4d In base 4, what is 102002 - 11? 101331 In base 12, what is 0 + -76? -76 In base 8, what is -12 + 5013? 5001 In base 5, what is 3 - -3312? 3320 In base 2, what is -100000011 + -1? -100000100 In base 6, what is 3 - 1432? -1425 In base 14, what is 3 - -9? c In base 10, what is 807 + 1? 808 In base 6, what is 200 + 11? 211 In base 12, what is -1 - -154b? 154a In base 6, what is -2 + 2145? 2143 In base 16, what is -2 + 485? 483 In base 11, what is 2 - 277? -275 In base 3, what is 1 - -110001? 110002 In base 11, what is -66 + -37? -a2 In base 14, what is 3a + 3? 3d In base 12, what is 0 + 144? 144 In base 9, what is 6 + -2040? -2033 In base 5, what is 231 - -143? 424 In base 5, what is 2102 - -2? 2104 In base 15, what is d - 18? -a In base 3, what is 22 + 10001? 10100 In base 16, what is -5 + -b? -10 In base 8, what is -101 + 133? 32 In base 8, what is 4 - -73? 77 In base 6, what is 3312 - 5? 3303 In base 14, what is 1 - 0? 1 In base 11, what is 0 + -246? -246 In base 13, what is -5 - 28? -30 In base 14, what is d0 + -5? c9 In base 14, what is 75 - 5? 70 In base 12, what is 288 - -4? 290 In base 12, what is -27 - 24? -4b In base 8, what is 157 + 5? 164 In base 9, what is -227 + 2? -225 In base 14, what is -1dc + -5? -203 In base 8, what is 1 - 554? -553 In base 7, what is 545 - -1? 546 In base 5, what is 10 - 4212? -4202 In base 2, what is -11 - 100100101101? -100100110000 In base 15, what is -1 - -9? 8 In base 8, what is -737 - -4? -733 In base 3, what is -222 - -22? -200 In base 5, what is -343 + 1? -342 In base 10, what is 720 + -8? 712 In base 8, what is 2 + 301? 303 In base 10, what is 0 - -50? 50 In base 7, what is 61466 - -1? 61500 In base 11, what is -3 - -1a6? 1a3 In base 15, what is -4 + 83? 7e In base 7, what is -65 + -111? -206 In base 16, what is -13 - 0? -13 In base 8, what is -106 + 3? -103 In base 14, what is 0 + -7db? -7db In base 3, what is 1012222 - 110? 1012112 In base 11, what is 1600 - -3? 1603 In base 7, what is -6123 + -3? -6126 In base 12, what is 1 + -37? -36 In base 5, what is 1001 + 13? 1014 In base 4, what is -33020 + -11? -33031 In base 4, what is 11320 + 3? 11323 In base 11, what is 5 + -52? -48 In base 2, what is 111 - 1001001101? -1001000110 In base 5, what is 141 - 4? 132 In base 11, what is -67 + -11? -78 In base 15, what is -59 - -8? -51 In base 15, what is a3 + -33? 70 In base 16, what is a + 2c? 36 In base 15, what is -5d + -44? -a2 In base 14, what is 2 - -534? 536 In base 10, what is -23 - 61? -84 In base 15, what is -10 + 1? -e In base 10, what is -69 - 1? -70 In base 16, what is 5 + 164? 169 In base 7, what is -126 + -3? -132 In base 6, what is 445 - 0? 445 In base 13, what is 37 + -b? 29 In base 2, what is -11110111 + -11? -11111010 In base 8, what is 4 + 16? 22 In base 5, what is 404002 - 0? 404002 In base 13, what is -a7 + 10c? 35 In base 11, what is 56 - -300? 356 In base 5, what is -2 - 102? -104 In base 15, what is 13 - 4? e In base 10, what is -46 + -1? -47 In base 14, what is 1d - 74? -55 In base 11, what is -3471 + -4? -3475 In base 7, what is 245 - 100? 145 In base 8, what is 0 - 126? -126 In base 7, what is 3150 + -14? 3133 In base 8, what is 1503 + 3? 1506 In base 5, what is 33434 - 10? 33424 In base 4, what is -30 + -11? -101 In base 14, what is -93 - -a? -87 In base 14, what is -2b + -5? -32 In base 5, what is 120 - -34? 204 In base 13, what is -17 + -6? -20 In base 14, what is -5 - 233? -238 In base 4, what is 1300 + -203? 1031 In base 10, what is 1 + -114? -113 In base 5, what is -32 + -12? -44 In base 11, what is -480a + 0? -480a In base 2, what is -1000111 + -101? -1001100 In base 15, what is 2 + 28? 2a In base 2, what is 101 - 11011100? -11010111 In base 6, what is -3 - -45? 42 In base 2, what is 101 + 10111000111? 10111001100 In base 16, what is -4 + -36? -3a In base 9, what is 5 + 585?
{ "pile_set_name": "DM Mathematics" }
(g))? -20*g**2 Let y(c) be the third derivative of c**5/30 + 3*c**2. Let n(p) be the third derivative of -9*p**2 - 1/30*p**5 + 0 + 0*p + 0*p**4 + 0*p**3. Give y(n(l)). 8*l**4 Let x(m) be the second derivative of 7*m**3/3 - 1524*m. Let i(h) = 10*h. Let l(q) = q. Let z(v) = -i(v) + 8*l(v). Give x(z(n)). -28*n Let y(m) = -104*m - 46*m - 47*m + 50*m. Let d(i) = -i. What is y(d(o))? 147*o Let h(c) = 9*c. Let r(z) = -3*z - 5. Let x(l) = l + 1. Let n(s) = 9*s + 8. Let p be n(-1). Let k(i) = p*r(i) - 5*x(i). What is k(h(a))? -18*a Let o be (4302/(-4))/(12/(-32)). Let z(d) = -5*d**2 + 2868 - o. Let k(l) = 8*l. Calculate z(k(h)). -320*h**2 Let w(q) = -7*q**2 - 18*q + 6. Let t(x) = 21*x**2 + 53*x - 17. Let k(a) = -6*t(a) - 17*w(a). Let f(y) = y**2. What is k(f(l))? -7*l**4 - 12*l**2 Let h(r) = 11762*r - 108*r**2 - 11762*r. Let i(u) = -3*u. Give h(i(z)). -972*z**2 Let i(z) = -20606 - 2*z + 20606. Let u(m) = m**3 + 4*m**2 + 2*m - 1. Let k be u(-3). Let y(w) = 0*w**k + 0*w**2 - w**2. Determine i(y(g)). 2*g**2 Let c(w) = 530411 - 530411 + 213*w. Let z(q) = -q**2. Give c(z(u)). -213*u**2 Let u(k) = -k**2. Let t(a) = -143 + 74 + 70 - 4*a**2. What is t(u(j))? -4*j**4 + 1 Let x(l) be the second derivative of -1/6*l**4 - 23*l + 0*l**2 + 0 + 0*l**3. Let y(k) = -k**2. Give y(x(f)). -4*f**4 Let h(m) = -9*m + 2. Let l(s) = 48*s**2 + 6. What is l(h(q))? 3888*q**2 - 1728*q + 198 Let i(p) = -2*p**2. Let w(j) = -8*j + 4. Let b(r) = 1. Let c(u) = 2. Let m(x) = 6*b(x) - 5*c(x). Let h(f) = -4*m(f) - 4*w(f). Calculate i(h(v)). -2048*v**2 Let h(q) = -2*q**2 - q + 25217. Let p(o) = -o. What is h(p(d))? -2*d**2 + d + 25217 Let g(p) = -8*p - 5278. Let s(j) = j**2. Give s(g(u)). 64*u**2 + 84448*u + 27857284 Let v(b) = -12*b - 72. Let t(s) = s**2 - s - 6. Let x(n) = -12*t(n) + v(n). Let p(o) = -15*o. What is x(p(k))? -2700*k**2 Let v(h) = 43*h. Let c(z) be the third derivative of 0 + 0*z - 1/12*z**4 - z**2 + 0*z**3. Determine v(c(r)). -86*r Let f(q) = -168011*q. Let z(w) = 3*w. Calculate z(f(b)). -504033*b Let j(d) = -231*d**2 - 63. Let s(w) = -23*w**2 - 6. Let o(a) = 2*j(a) - 21*s(a). Let p(n) = -3*n**2. Give o(p(u)). 189*u**4 Let u(j) = 2*j**2. Let r(d) = 1 + 0*d + d**2 - 4*d - 4*d - 9. Let o be r(9). Let f(y) = -y**2 + 0 - 1 + o. What is f(u(v))? -4*v**4 Let y(z) = -4*z + 5. Let u(k) = 5*k - 6. Let h(i) = -5*u(i) - 6*y(i). Let j(g) = -9*g + 6. Let q(s) = -19*s + 13. Let a(f) = -13*j(f) + 6*q(f). What is a(h(w))? -3*w Let k(i) = -332*i**2. Let q(n) = -1899*n. Determine k(q(z)). -1197258732*z**2 Let w(q) = -172*q**2. Let b(f) = 11*f**2 - 18*f + 9. Let u(s) = -5*s**2 + 8*s - 4. Let l(c) = 4*b(c) + 9*u(c). Determine w(l(m)). -172*m**4 Let u(i) = -59*i. Let k(q) = 2301*q. Let h(j) = -3*k(j) - 118*u(j). Let p(v) be the third derivative of v**5/60 + 4*v**2. Give p(h(n)). 3481*n**2 Let v(l) = 5*l**2 - 3*l - 3. Let k(j) = 2*j**2 - j - 1. Let g(n) = 3*k(n) - v(n). Let q(x) be the second derivative of 5*x**3/3 - x. Give q(g(c)). 10*c**2 Let m(w) = -6*w**2. Let h(t) = -12*t + 37. Let f(s) = -7*s + 19. Let a(l) = -5*f(l) + 3*h(l). What is a(m(v))? 6*v**2 + 16 Let j(g) = -g. Let t(k) = -146*k**2 + 16*k. Let i(o) = -97*o**2 + 10*o. Let q(l) = -8*i(l) + 5*t(l). Determine q(j(u)). 46*u**2 Let b(r) = 2*r - 2091. Let v(c) = 2*c. Calculate b(v(j)). 4*j - 2091 Let u(f) = 9*f**2. Let t(o) = -98*o**2 + 4. Calculate u(t(r)). 86436*r**4 - 7056*r**2 + 144 Let o(q) = -1 + 1 + 5*q - 149*q - 29*q. Let t(w) = -w. Give o(t(b)). 173*b Let t(b) be the second derivative of -19*b**4/6 - 4*b - 16. Let c(s) = -3*s**2. Give c(t(p)). -4332*p**4 Let n(q) be the second derivative of -17*q**4/12 - 3*q**2/2 - 5*q - 15. Let i(l) = 8*l**2. Calculate i(n(b)). 2312*b**4 + 816*b**2 + 72 Let o(t) = 168256*t. Let c(d) = 3*d. Give o(c(u)). 504768*u Let c = 20 - 42. Let y = c - -25. Let a(r) = 28*r - y*r**2 - 28*r. Let g(w) = -w. What is a(g(m))? -3*m**2 Let g(k) = 5005*k. Let a(t) = 8*t. Calculate g(a(h)). 40040*h Let k(c) = -c**2. Let t(j) be the third derivative of j**4/24 + 23*j**3/6 + 275*j**2 - 2*j. What is k(t(s))? -s**2 - 46*s - 529 Let j(x) = x. Let h(g) = 0*g**2 + 47 - 47 + 2*g**2 - 71*g**2. Calculate j(h(o)). -69*o**2 Let b(x) be the first derivative of 2*x**3/3 - 338. Let u(p) = 79*p**2. Calculate u(b(w)). 316*w**4 Let g(r) be the second derivative of r**3/6 + 290*r + 1. Let s(w) = -w - 563. What is s(g(m))? -m - 563 Let x(j) = -j**2. Let v(u) = -5*u**3 + u**2 + u. Let o be v(-1). Suppose 45 - 10 = o*k + w, -3*k = -w - 13. Let f(i) = k*i + 0*i - 4*i. What is x(f(b))? -4*b**2 Let f(y) = -6*y**2. Let p(v) be the first derivative of 0*v + 0*v**2 - 17 + 4/3*v**3. Calculate p(f(q)). 144*q**4 Let o(v) be the first derivative of -4*v**3/3 + 418. Let r(l) = l**2 - 3*l. Determine r(o(k)). 16*k**4 + 12*k**2 Let r(a) = -12*a**2. Let u(x) = 47*x**2 + 822. Calculate u(r(c)). 6768*c**4 + 822 Let d(z) = -z**2 + 15*z - 26. Let x be d(13). Let n(c) = -c**2 - 2*c. Let t be n(x). Let r(h) = -3*h + t*h + h + h. Let i(w) = -23*w. What is i(r(m))? 23*m Let l(s) = 6*s**2. Let a(x) = 2*x + 3. Let o be a(6). Let w(j) = 20*j. Let t(p) = 3*p. Let u(h) = o*t(h) - 2*w(h). What is u(l(c))? 30*c**2 Let w(x) = 2*x. Let r(k) be the first derivative of -k**5/120 - 2*k**3/3 + 11. Let v(p) be the third derivative of r(p). Determine v(w(n)). -2*n Let s(m) = 234*m**2 - 475*m**2 + 239*m**2. Let r(f) = -23*f. Give r(s(k)). 46*k**2 Let a(p) = 6*p**2. Let l(x) = 4*x + 2. Let t be l(2). Let u = -8 + t. Let n(w) = 0*w**2 + 3*w**2 - 2*w**u. What is n(a(k))? 36*k**4 Let v(b) = 7*b**2. Let f(c) be the first derivative of 0*c + 14 - 1/2*c**2. What is v(f(k))? 7*k**2 Let c(k) = 5*k**2. Let d(w) be the first derivative of 40*w**3/3 - 471. Calculate c(d(y)). 8000*y**4 Let g(x) be the second derivative of x**3 + 2*x. Let r(b) = 103*b - 96*b - 4*b. What is r(g(u))? 18*u Let o(s) = 19*s**2 - 2*s. Let g(l) = 3553*l. Calculate o(g(b)). 239852371*b**2 - 7106*b Suppose 6*z - 4*z + 5*a - 19 = 0, 2*a = 3*z. Let c(j) = j**z + 0*j + 0*j**2 + 0*j. Let q(m) be the second derivative of m**3 - 3*m. Calculate c(q(o)). 36*o**2 Let t(x) = 286*x + 33. Let m(s) = -44*s - 5. Let b(u) = 33*m(u) + 5*t(u). Let d(n) be the third derivative of n**5/30 + 74*n**2. What is b(d(y))? -44*y**2 Let t(f) = 1 - 4*f - 1. Let v(x) be the first derivative of 3*x**2/2 + 20. Calculate t(v(l)). -12*l Let i(o) = -4*o. Let x = 14 - 9. Suppose 13 = 4*p + x. Let a(t) = -5*t - 2 + p + 4*t. Determine i(a(u)). 4*u Let t(k) = 13*k. Let h be (286/(-55))/(2/(-5)). Let n(v) = -52*v. Let u(s) = h*t(s) + 3*n(s). Let w(f) = 3*f**2. Calculate w(u(p)). 507*p**2 Let h(i) = 870 - 870 - 6*i. Let l(w) = 5*w**2 + 4*w. Determine h(l(v)). -30*v**2 - 24*v Let y = 151 + -144. Let h(k) be the first derivative of -5/3*k**3 + 0*k**2 + 0*k - y. Let z(p) = 4*p. Calculate z(h(v)). -20*v**2 Let g be 48/9 + (-4)/3 - 2. Let a(q) = 3*q**g - 2 + 14 - 12. Let v(k) = -3*k. Give v(a(j)). -9*j**2 Let y(m) = -36283*m**2. Let f(n) = 30*n**2. What is f(y(s))? 39493682670*s**4 Let b(s) = 304 - s**2 - 304 - s**2. Let g(i) = -5*i + 15*i - i + 11*i. Determine b(g(f)). -800*f**2 Let o(r) be the third derivative of 71*r**5/30 + 2*r**2 - 11*r. Let j(y) = -4*y. Determine j(o(z)). -568*z**2 Let k(x) = -x**2 + x. Let n(b) = -4*b**2 + 2*b. Let m(d) = -6*k(d) + 3*n(d). Let r(a) = -17*a**2. Determine r(m(v)). -612*v**4 Let v(x) = -23*x. Let g(c) be the first derivative of -c**3/3 - 3. Give v(g(m)). 23*m**2 Let s(i) = 28*i**2 - 95*i**2 + 40*i**2. Let h(d) = 20*d. Determine s(h(m)). -10800*m**2 Let u(w) = -w. Let v(o) = 44*o**2 - 76*o**2 + 68*o**2. What is v(u(h))? 36*h**2 Let q(w) = -32*w**2 - 4442. Let a(y) = y**2. Determine q(a(k)). -32*k**4 - 4442 Let i(t) = 17*t**2. Suppose -5*m + 29 = -0*m + 3*s, 3*s - 22 = -4*m. Let x(n) = 11*n - 3*n - m*n. Determine x(i(y)). 17*y**2 Let a(r) be the first derivative of -7*r**4/12 + 9*r - 8. Let d(k) be the first derivative of a(k). Let b(h) = h**2. Determine b(d(i)). 49*i**4 Let v = 0 + 5. Let w(o) = o**2 - 11*o**2 + v*o**2. Let t(h) = -5*h**2. What is w(t(q))? -125*q**4 Let t(v) = -111*v**2 + 926*v - 926*v. Let f(g) = -2*g. Determine t(f(c)). -444*c**2 Let j(f) = f**2. Suppose 7*w = 4*w + 12. Let s(y) = y**2 - 2*y - 4. Let c be s(w). Let a(l) = 10 - c*l**2 - 10. Give j(a(m)). 16*m**4 Let r(n) = 2*n. Let q(l) be the se
{ "pile_set_name": "DM Mathematics" }
po. What is prob of picking 1 p and 1 s? 9/91 Two letters picked without replacement from mepkekj. What is prob of picking 1 m and 1 e? 2/21 What is prob of picking 1 e and 1 q when two letters picked without replacement from epwewqwepes? 4/55 What is prob of picking 1 v and 2 i when three letters picked without replacement from {v: 2, i: 5, c: 4}? 4/33 Three letters picked without replacement from pupppppppuupppp. Give prob of picking 1 p and 2 u. 36/455 Two letters picked without replacement from rhduuuhhmhuhh. Give prob of picking 1 u and 1 m. 2/39 Two letters picked without replacement from {k: 1, o: 11, p: 2}. What is prob of picking 1 k and 1 o? 11/91 What is prob of picking 3 s when three letters picked without replacement from {o: 2, e: 1, v: 1, s: 4, r: 7, p: 4}? 4/969 What is prob of picking 1 q and 1 h when two letters picked without replacement from {d: 10, u: 2, q: 3, h: 1}? 1/40 Two letters picked without replacement from rotwrtstwtttwtow. Give prob of picking 1 w and 1 s. 1/30 Calculate prob of picking 1 i, 1 t, and 1 y when three letters picked without replacement from {j: 2, y: 4, r: 2, i: 2, t: 1, s: 3}. 2/91 Three letters picked without replacement from emkkmmk. Give prob of picking 1 e and 2 k. 3/35 Calculate prob of picking 1 t and 1 w when two letters picked without replacement from {t: 8, w: 5, q: 3}. 1/3 What is prob of picking 2 k, 1 a, and 1 j when four letters picked without replacement from {q: 1, a: 1, j: 1, k: 1, y: 1}? 0 Four letters picked without replacement from {a: 8, l: 2, b: 4}. What is prob of picking 2 a and 2 b? 24/143 Calculate prob of picking 3 v when three letters picked without replacement from {v: 9, g: 9}. 7/68 What is prob of picking 1 j and 3 v when four letters picked without replacement from {v: 17, j: 2}? 20/57 Two letters picked without replacement from {t: 1, v: 3, r: 1, p: 3, z: 6}. Give prob of picking 2 v. 3/91 Two letters picked without replacement from iicwwww. Give prob of picking 2 w. 2/7 Calculate prob of picking 1 t and 1 d when two letters picked without replacement from tydyddtyttddtxtt. 7/24 Three letters picked without replacement from yybsbrqz. What is prob of picking 2 b and 1 s? 1/56 Four letters picked without replacement from {l: 2, q: 9}. What is prob of picking 4 q? 21/55 Calculate prob of picking 1 g and 2 v when three letters picked without replacement from uuvuvgvgvvg. 2/11 What is prob of picking 4 e when four letters picked without replacement from eaaaaeaeaaaaaaeaaa? 1/3060 Calculate prob of picking 2 e when two letters picked without replacement from bobobyooeyyyzoeoyy. 1/153 Calculate prob of picking 2 l and 1 d when three letters picked without replacement from jkdjlyjjjdjbblylkb. 1/136 Three letters picked without replacement from {y: 4, e: 1, b: 3}. What is prob of picking 1 e and 2 b? 3/56 Two letters picked without replacement from {g: 1, h: 1, f: 1}. Give prob of picking 1 g and 1 f. 1/3 Three letters picked without replacement from wbbppzpbzbzzbbwppb. Give prob of picking 2 b and 1 w. 7/136 Three letters picked without replacement from ywwwwyywwww. What is prob of picking 3 w? 56/165 What is prob of picking 1 c and 1 s when two letters picked without replacement from {s: 9, c: 5}? 45/91 Calculate prob of picking 1 t, 1 a, and 1 s when three letters picked without replacement from {s: 4, a: 1, k: 1, j: 2, m: 2, t: 2}. 2/55 Two letters picked without replacement from llwllywyl. Give prob of picking 2 l. 5/18 Two letters picked without replacement from otttototnttytltotln. What is prob of picking 1 l and 1 y? 2/171 Two letters picked without replacement from {j: 1, d: 1, e: 1, l: 1, x: 1}. What is prob of picking 1 e and 1 x? 1/10 What is prob of picking 1 q and 2 b when three letters picked without replacement from {b: 7, v: 7, q: 4}? 7/68 Four letters picked without replacement from {o: 2, z: 5, u: 1, k: 4, b: 4, q: 4}. Give prob of picking 1 u, 2 q, and 1 o. 4/1615 Two letters picked without replacement from gdggrrxg. Give prob of picking 1 g and 1 d. 1/7 What is prob of picking 1 r and 1 a when two letters picked without replacement from {e: 5, q: 1, w: 6, r: 2, a: 1, k: 1}? 1/60 What is prob of picking 3 w when three letters picked without replacement from {w: 4, g: 3}? 4/35 Calculate prob of picking 1 j and 1 l when two letters picked without replacement from ajolaoaoocta. 1/66 What is prob of picking 1 x and 1 n when two letters picked without replacement from {n: 7, x: 7}? 7/13 Calculate prob of picking 2 z when two letters picked without replacement from czvzczcczccmccccm. 3/68 Four letters picked without replacement from {r: 3, h: 5, o: 2}. What is prob of picking 2 r and 2 o? 1/70 Two letters picked without replacement from {y: 2, h: 1, p: 2, j: 1, i: 1}. Give prob of picking 1 h and 1 j. 1/21 Two letters picked without replacement from {b: 1, y: 3, x: 3}. What is prob of picking 1 y and 1 b? 1/7 What is prob of picking 1 u, 1 a, and 1 w when three letters picked without replacement from aauxwaaaaaawhea? 18/455 Calculate prob of picking 3 f when three letters picked without replacement from fffzzzzzqzffz. 5/143 Two letters picked without replacement from bbbybbbbbybbb. Give prob of picking 2 y. 1/78 Four letters picked without replacement from cjvjesevpvssevjvs. Give prob of picking 2 s, 1 c, and 1 p. 3/1190 Four letters picked without replacement from qddtdqqqjjoodd. What is prob of picking 2 o and 2 d? 10/1001 Two letters picked without replacement from {r: 2, u: 3, y: 2, e: 5}. What is prob of picking 1 r and 1 u? 1/11 Three letters picked without replacement from {a: 2, j: 1, c: 2, s: 1, g: 7, q: 1}. What is prob of picking 2 g and 1 a? 3/26 What is prob of picking 1 e and 2 z when three letters picked without replacement from {z: 9, e: 2}? 24/55 Four letters picked without replacement from hehhhhhheh. Give prob of picking 3 h and 1 e. 8/15 Calculate prob of picking 1 y, 1 j, and 1 b when three letters picked without replacement from jybjyb. 2/5 What is prob of picking 1 x and 2 b when three letters picked without replacement from {x: 3, e: 1, b: 5, p: 7}? 3/56 What is prob of picking 1 u, 1 d, 1 e, and 1 a when four letters picked without replacement from {h: 1, a: 3, d: 3, r: 2, e: 2, u: 4}? 24/455 Calculate prob of picking 1 v and 1 h when two letters picked without replacement from {v: 1, x: 1, q: 2, h: 2}. 2/15 Calculate prob of picking 1 b and 1 f when two letters picked without replacement from fnbf. 1/3 Two letters picked without replacement from {c: 1, m: 6, b: 7, n: 1}. Give prob of picking 1 n and 1 b. 1/15 Calculate prob of picking 1 a and 1 f when two letters picked without replacement from gfagrff. 1/7 Four letters picked without replacement from {s: 1, e: 5, g: 5}. Give prob of picking 1 s and 3 e. 1/33 Calculate prob of picking 1 c and 1 l when two letters picked without replacement from clcclclllcllcccllllc. 99/190 Three letters picked without replacement from {z: 2, v: 10, q: 3}. What is prob of picking 2 q and 1 v? 6/91 Three letters picked without replacement from eeoooeeoloo. Give prob of picking 1 e and 2 o. 4/11 Calculate prob of picking 2 x and 2 c when four letters picked without replacement from cxxxcxxcxx. 3/10 Three letters picked without replacement from {k: 2, c: 5, z: 7}. What is prob of picking 3 c? 5/182 What is prob of picking 1 p and 1 a when two letters picked without replacement from paapaaaa? 3/7 What is prob of picking 2 v when two letters picked without replacement from {v: 7}? 1 Three letters picked without replacement from {g: 6, o: 1, j: 3, m: 2}. What is prob of picking 2 g and 1 o? 3/44 Two letters picked without replacement from {m: 7, c: 3, j: 7, y: 2}. Give prob of picking 1 y and 1 m. 14/171 Two letters picked without replacement from {i: 6, a: 1, j: 5, u: 2, p: 2, s: 1}. What is prob of picking 1 s and 1 j? 5/136 Three letters picked without replacement from {a: 4}. Give prob of picking 3 a. 1 Two letters picked without replacement from {o: 2, d: 2, k: 5}. What is prob of picking 1 o and 1 k? 5/18 Two letters picked without replacement from {d: 2, l: 16}. Give prob of picking 2 l. 40/51 Three letters picked without replacement from {a: 12, j: 7}. What is prob of picking 2 a and 1 j? 154/323
{ "pile_set_name": "DM Mathematics" }
c = 14. Let h(v) = -v**3 + 5*v**2 - 3*v + 4. Calculate h(n). 13 Let l be (214/642)/(-2*2/(-4)). Let j(s) be the third derivative of -1/120*s**6 + 0*s + 18*s**2 + l*s**3 + 0*s**5 + 0*s**4 + 0. Give j(0). 2 Let z(j) = 5*j**2 - 2*j + 2. Let u(v) = -48*v**2 + 18*v - 26. Let a(q) = u(q) + 10*z(q). Give a(-5). 54 Let s(c) = c**2 - 8*c + 25. Let k = 67 + -61. Let m be s(k). Let y(v) = v**3 - 11*v**2 - 27*v + 10. Let i be y(m). Let n(q) = -q**2 - 1. Calculate n(i). -10 Let k(c) = -6*c**2 - 2*c + 3. Let m(h) = 11*h**2 + 3*h - 5. Let l(g) = -5*k(g) - 3*m(g). Suppose -19 = 7*x - 33. Suppose 7*y - 5 = x. What is l(y)? -2 Let b(r) be the third derivative of r**6/120 - r**5/5 - r**4/2 - 5*r**3/6 + 645*r**2. Suppose 66 = 5*t - z, 21*t + 3*z - 10 = 20*t. Calculate b(t). 8 Let q(x) = 2*x**2 + 11*x + 8. Suppose 11 = 6*j + 72 - 31. What is q(j)? 3 Let w be 15/20 - 225/(-20). Let d(y) = -y**3 + 11*y**2 + 11*y + 14. Let n be d(w). Let u(r) = -7*r - n*r - 2 + 7*r - r. Calculate u(3). -11 Let o(u) = u**2 - 2*u**3 + 5*u**2 - 1 + 575*u - 1143*u + 567*u - 2*u**2. Determine o(2). -3 Let t(u) = 32*u**2 - 21798*u + 21796*u - 30*u**2 - 47. Determine t(0). -47 Let s(i) be the second derivative of -3*i**5/4 + i**4/6 - i**2/2 + 1555*i. What is s(-1)? 16 Suppose 8*o + 17 = 9. Let u(t) be the first derivative of t**3/3 - 2*t**2 + 2*t - 1. Let n(r) = 2*r**2 - 5*r + 3. Let a(y) = 3*n(y) - 4*u(y). Calculate a(o). 2 Let z(v) = 38*v**2 - v - 5. Let n(l) = -l**3 + 17*l**2 + 19*l - 1. Let j be n(18). Let m(b) = 113*b**2 - 3*b - 14. Let g(c) = j*z(c) - 6*m(c). Calculate g(1). -32 Let f(j) = 2*j + 1. Let s = 99 - 71. Let u be (1 + 2)/(s/30 - 1). Let r = u - -48. Determine f(r). 7 Let z(l) = 24 - 61*l - 3 + 23*l + 20*l + 16*l. Calculate z(19). -17 Let n(z) = 10*z**2 + 21*z + 13. Let d(k) = -2*k**2 - k + 3. Let l(p) = 4*d(p) + n(p). Give l(-6). -5 Let b(a) = -57*a + 1095. Let s be b(19). Let x(y) = -y**3 + 13*y**2 - 11*y - 27. Give x(s). -15 Let p(r) be the third derivative of -11*r**4/24 - r**3/6 + 3*r**2 + 98. Determine p(-1). 10 Let x(p) = 4*p**3 - 33*p - 37. Let g(f) = 11*f**3 - 6*f**2 - 101*f - 109. Let h(b) = -3*g(b) + 8*x(b). Calculate h(20). 11 Let w(y) = -y**3 + y**2 + 3*y - 3. Let v = 255 - 251. Suppose -v*l - 2*l = -18. Calculate w(l). -12 Let v(a) be the third derivative of a**5/60 - 5*a**4/12 - 7*a**3/6 - 10957*a**2. Calculate v(11). 4 Let q(l) be the first derivative of 1/2*l**2 - 6 + 10*l. Let b = 13 + -20. What is q(b)? 3 Suppose -44*p = -38*p + 738. Let l = p + 117. Let h(i) = i**2 + 7*i + 15. Give h(l). 9 Let y(f) = 61 - 2*f - 6 + 7 - 2*f + f. Calculate y(21). -1 Let q(z) = -6*z + 1. Let c be 159/(-4) - (27/(-12))/3. Let y be 2*(c/(-6))/(-13). Give q(y). 7 Let c(w) = 539 - 99 + 346359*w - 346408*w. Give c(9). -1 Let n(d) = -d**2 - 8*d - 4. Let w(j) = 4*j + 41. Let o be w(-11). Let s(f) = 6*f**2 - 4*f - 16. Let k be s(o). Suppose -k + 15 = 5*q. What is n(q)? 3 Suppose -z + 18 = -5. Suppose 3*j = -2*p + z, -26 = -3*j + 5*p + 11. Let d(y) = -j - 7*y + 8 + 4*y. What is d(2)? -7 Let g(y) = 48*y - 18. Let z(n) = -74*n + 32. Let r(s) = 8*g(s) + 5*z(s). What is r(-3)? -26 Let s(g) be the second derivative of g**4/8 + 5*g**3/6 + 38*g**2 + 14*g + 3. Let w(d) be the first derivative of s(d). What is w(5)? 20 Let s = -652 + 654. Let g be (10/4)/((-1)/s). Let w(n) = n**2 - n - 27. Determine w(g). 3 Let h(o) = -19*o - 16. Let z be h(-1). Let b(f) = 7*f**2 + 9*f**2 - 3*f**2 + 4*f - f**2 + 8*f + 10 + f**z. Calculate b(-11). -1 Suppose 14*x - 19*x - 4*v - 45 = 0, -x - 9 = 2*v. Let c(b) = -b**3 - 9*b**2 + b + 15. Determine c(x). 6 Let h(s) = -4*s**2 - 77*s + 62. Suppose 108 = -5*u - 388*b + 384*b, u + b + 22 = 0. Give h(u). 2 Let s(y) = 2*y + 1. Suppose 19 - 59 = -8*u. Let a be (1 + u/(-10))/(4/72). Suppose -c + a = -4*m - 11, 3*c + 8 = -5*m. Calculate s(c). 9 Let b(u) = 2*u**2 - 21*u - 22. Let v be b(-1). Let q(g) = -2. Let k(n) = -n + 9. Let h(z) = v*k(z) + 2*q(z). Determine h(0). 5 Let u(q) = q**2 + 7*q - 28. Let j(g) = 72*g - 513. Let t be j(7). What is u(t)? -10 Suppose -10*i = 627 + 623. Let p = 141 + i. Let t(l) = p*l - 11*l + l**2 - 3 - 10*l. Give t(3). -9 Let y(d) = d**2 - 8*d + 4. Suppose 6*r + 1410 = 3*r. Let c be (0 - r/15)*3. Let s = 99 - c. What is y(s)? -11 Let k(a) = a**2 - 10*a + 11. Let r be (-1250)/(-14)*-1 - 12/(-42). Let d = r + 118. Let j = d + -20. Give k(j). 2 Suppose -92 = 18*s + 160. Let t(n) = -n**2 - 8*n + 11. Determine t(s). -73 Let s be (-25)/(((-2)/8)/((-5)/4)). Let q = s - -132. Suppose q*m + 2*m = -99. Let i(r) = -r**3 - 10*r**2 + 12*r + 15. Determine i(m). 4 Let h(d) = d + 2. Let u be 8/(-1*(-1)/(-4)). Let n be ((-16)/20)/(36/(-1170)). Let c = u + n. Calculate h(c). -4 Let c(y) = -y**2 - y + 38. Let r(a) = -a**3 - 9*a**2 - a - 451. Let f be r(-12). What is c(f)? -4 Let d(v) = 21 + 16 - 34 + 5*v. Suppose 2*z - z + y + 7 = 0, -2*z - 10 = y. Let q(i) = -9*i - 6. Let h(c) = z*q(c) - 5*d(c). Determine h(-2). -1 Let n(r) be the third derivative of r**6/120 - r**5/10 - 3*r**4/4 + 11*r**3/6 - 3811*r**2. What is n(8)? -5 Let k(t) = -8*t + 33. Let j(x) = 3*x - 17. Let l(y) = -2*j(y) - k(y). Give l(-5). -9 Let i = 13231 - 13229. Let r(d) = -d**3 - d**2 + 2*d - 2. What is r(i)? -10 Suppose -42 = -4*l - c - 4, 47 = 5*l + c. Let h(q) = 208*q - 67*q - l - 72*q - 70*q. Determine h(11). -20 Let o = -40 + 115. Let b = o + -163. Let a = 84 + b. Let m(n) = n**3 + 4*n**2 + n - 1. Calculate m(a). -5 Let h(o) be the second derivative of o**4/12 - 11*o**3/6 + 15*o**2 + 179*o + 1. What is h(7)? 2 Suppose -9784*h + 9767*h = 17. Let v(l) = 9*l**3 - 2*l**2 - 3*l - 2. Determine v(h). -10 Let f(p) = p**2 - 72 + 194 - 4*p**2 - 5*p**2 - 60 + p**3 - 63. Let q(u) = 3*u - 1. Let j be q(3). Calculate f(j). -1 Suppose 0 = -7*t + 5 + 16. Let s(f) = -t*f - 24 + 2*f**2 - f**2 - 13 + 38. Determine s(4). 5 Let b be -3 - (366/(-66) + 12/22). Let i(d) be the first derivative of 1/2*d**b - 2/3*d**3 + 3*d + 2. Give i(-3). -18 Let c(w) = w**3 + 24*w**2 + 2*w + 73. Let g = -17058 + 17034. Determine c(g). 25 Let r(z) = -9*z**2 - 39 + 15 - 28*z - 14*z**3 + 3*z**3 - 41 + 10*z**3. Calculate r(-6). -5 Let p(d) = -d**3 + 41*d**2 + 8*d - 339. Let m be p(41). Let g(w) = 3*w**2 + 31*w + 12. Give g(m). 34 Let j(d) be the third derivative of 2*d**2 + 0*d - 1/3*d**3 + 1/24*d**4 + 1/15*d**5 + 0. Let f(g) = 99*g - 1388. Let a be f(14). Determine j(a). 12 Suppose 5*m = 13*y - 11*y - 10, 0 = -3*y - 4*m - 8. Let x(f) be the second derivative of -1/3*f**3 + y + 5/2*f**2 + 5/12*f**4 - 1/20*f**5 - f. Calculate x(5). -5 Let a(o) = -2*o + 5. Suppose 18 = -2*v - 5*t + 3, 4*v - 5*t = 45. Let m be -7 - (v + -5) - (1 + -4). Give a(m). 13 Let b = 6888 + -6891. Let o(q) = 15*q + 62. Determine o(b). 17 Let o(x) be the second derivative of x**5/20 + 5*x**4/6 + 96*x. Suppose 3*p - 69 + 99 = 0. Calculate o(p). 0 Let s(y) = -9*y - 1. Let t(p) = -2*p**2 - p. Suppose 25*j - 3 = u + 23*j, 4*j = -2*u + 2. Let k be t(u). What is s(k)? 8 Let a(x) be the first derivative of -x**4/4 + 5*x**3/3 - 7*x**2/2 + 8*x - 72124. Suppose -3*w + 19 = 4*p - 6*w, w = -1. Calculate a(p). -4 Let q(o) = -8*o**2. Suppose -12 = 25*h - 29*h. Let w be h - (13 + -13 + (1 - -3)). Determine q(w). -8 Let s(a) be the third derivative of -2*a**4/3 - 6*a**2. Let u(g) = 20*g - 21. Let c be u(0). Let o(b) = -5*b. Let i(q) = c*o(q) + 6*s(q). Calculate i(-2). -18 Let r(w) = 19 - 10*w**2 - 8*w**2 + 16*w - 15 - 42*w + 16*w**2. Give r(-13). 4 Let l be 1/(1/4 + 25*(-3)/60). Let w(d) = 6*d + 11. Calculate w(l). 5 Let u(q) = q + 35827 + 35820 - 71648. Determine u(-5). -6 Let a(c) = 31 - 8*c - c**2 - 9*c + 158 - 226. Determine a(-10). 33 Let l = -86 + 83. Let h = 9 - l. Suppose 0 = 4*a - h*a + 8. Let j(r) = -7*r**3 + 2*r - 1. What is j(a)? -6 Let y(t) = -t**2 + 7*t - 5. Let u be y(5). Suppose 11 = u*r - 2*f, -f - 5 + 2 = 0. Let s(h) be the second derivative of h**4/6 + h**2/2 + 186*h. Give s(r). 3 Let u(s) be the first derivative of s**2 - 17*s + 3219. Calculate u(7). -3 Let t(x) = 90 - 8 + 0*x - 8 - 4*x - 40. Calculate t(-8). 66 Let j be (-7)/385*215 + (-2)/22. Let u(m) = 7*m**2 + 19*m + 1. Calculate u(j). 37 Let n(w) = -5*w + 4. Let i(d) = 6*d - 6. Let p be i(-2). Let m = -18 - p. Suppose u - 2 + m = -q, 6 = -u - 3*q. Determine n(u). -26 Let n = -76 + 94. Let v be (-31)/3 -
{ "pile_set_name": "DM Mathematics" }
Differentiate -189*g + 1 + 189*g + n*g**3 with respect to g. 18*g**2 Let m(s) be the first derivative of -87/2*s**2 + 44 + 0*s**3 + 0*s + 121/2*s**4. Find the second derivative of m(o) wrt o. 1452*o Let k(d) = 7175*d**2 - 6331. Let o(b) = 1793*b**2 - 1584. Let a(q) = 6*k(q) - 23*o(q). Find the first derivative of a(s) wrt s. 3622*s Suppose -8*r - 672 = 4*r. Let n be ((-48)/r)/(6/28). Find the second derivative of -10*w**4 - 20*w**4 + n*w**4 + 3*w**4 - 8*w wrt w. -276*w**2 Let k(u) be the first derivative of -593*u**5/5 - u**3/3 + 397*u**2 - 401. What is the second derivative of k(m) wrt m? -7116*m**2 - 2 Suppose 0 = 4*b + h - 55, 4*h + 24 = 4. Suppose 5*f = v - 5*v + b, 5*v - 24 = -f. What is the third derivative of -33*d**v + 66*d**5 - 18*d**5 + 6*d**2 wrt d? 900*d**2 Let p(w) be the third derivative of -22*w**7/105 + 13*w**4/12 - 1259*w**3/6 + 13*w**2 + 39*w. Find the first derivative of p(u) wrt u. -176*u**3 + 26 Let w(u) = -u**3 - 16*u**2 + 15*u - 32. Let z be w(-17). Find the second derivative of 1 + 2*g - 5 - 3*g + 25*g**z + 2 wrt g. 50 Let d(h) be the second derivative of 2*h**6/15 - 23*h**5/4 - 2*h**3 + 3*h**2/2 + 2*h - 45. Find the second derivative of d(m) wrt m. 48*m**2 - 690*m Find the second derivative of -16295*m + 32337*m - 16218*m + 191*m**4 + 2 wrt m. 2292*m**2 Let f(p) = 3*p + 46. Let a = -11 + -3. Let y be f(a). What is the second derivative of 8*o + 52*o**2 - 24*o**y - 52*o**2 wrt o? -288*o**2 Let a(q) be the second derivative of -70*q + 0*q**5 + 0*q**4 - 5/3*q**6 - 50/3*q**3 + 0*q**2 + 0. Find the second derivative of a(f) wrt f. -600*f**2 Let k be (-12 + (-700)/(-30))*(1 - -2). What is the second derivative of -12*i + 2 - 2 + 32*i - k*i**4 + 31*i**4 - 22*i**2 wrt i? -36*i**2 - 44 Let o(b) be the second derivative of -1145*b**7/42 - b**4/12 - 315*b**3/2 - 554*b - 2. What is the third derivative of o(p) wrt p? -68700*p**2 Let j(o) be the first derivative of 53*o**6/6 - 9*o**3 - 3465*o**2/2 + 166. What is the second derivative of j(p) wrt p? 1060*p**3 - 54 Find the second derivative of -n + 663*n**2 + 117*n + 15*n + 3100*n**2 - 186*n**2 wrt n. 7154 Suppose -9 - 45 = -2*p. Let c = -14 + 23. What is the second derivative of 8*m**3 + p*m + c*m**3 - 11*m**3 + 3*m**3 wrt m? 54*m Let w(u) = 51*u**5 + 2735*u**2 + 18*u - 18. Let j(x) = 6*x**5 + 2*x**2 + 1. Let a(z) = -8*j(z) + w(z). Find the second derivative of a(o) wrt o. 60*o**3 + 5438 Let o(w) be the first derivative of -2477*w**6/6 - 1312*w**2 + 1925. Find the second derivative of o(y) wrt y. -49540*y**3 Let o(i) = 2*i + 29. Let k(c) = 4*c + 58. Let s(p) = -3*k(p) + 5*o(p). Let h be s(-20). Find the second derivative of -7*m + h*m + 16*m**3 - 4*m**3 wrt m. 72*m Let j(o) be the first derivative of -42*o**4 + 4*o**3/3 - o**2 - 4692*o + 15265. What is the first derivative of j(r) wrt r? -504*r**2 + 8*r - 2 Let b(t) be the second derivative of 0 - 101*t + 109/6*t**4 - 37/5*t**6 + 0*t**2 + 0*t**5 + 0*t**3. What is the third derivative of b(w) wrt w? -5328*w Let s(p) = -276*p**3 + p + 2. Let n be s(-1). Let x = -2 + 4. Differentiate -n*q**x + 3 + 277*q**2 - 7*q**3 with respect to q. -21*q**2 Let x(d) = -174*d**3 + 12*d**2 + 2139. Let c(l) = 2*l**4 - 523*l**3 + 42*l**2 + 6418. Let h(i) = 2*c(i) - 7*x(i). Differentiate h(b) with respect to b. 16*b**3 + 516*b**2 Find the first derivative of 5*o**2 + 31*o**2 + 0*o**2 + 2*o**2 - 5*o**2 + 4*o - 816 wrt o. 66*o + 4 Let u(f) be the first derivative of 1468*f**5/5 + 1082*f - 1850. What is the first derivative of u(i) wrt i? 5872*i**3 Let y(s) be the second derivative of 31*s**5/2 - s**3 - 1837*s**2/2 - 2946*s + 2. What is the first derivative of y(g) wrt g? 930*g**2 - 6 Let o(s) = 3*s**3 + 73*s**2 - 1047*s + 4. Let k(n) = -3*n**3 - 76*n**2 + 1046*n - 3. Let v(m) = 4*k(m) + 3*o(m). Find the second derivative of v(z) wrt z. -18*z - 170 Let d(h) be the third derivative of -35/6*h**4 + 0*h + 126*h**2 + 0*h**5 - 11/120*h**6 + 0*h**3 + 0. Find the second derivative of d(l) wrt l. -66*l What is the third derivative of 189*d**6 + 637*d**6 - 75*d**6 - 157*d**2 + 132 + 126 - 259 wrt d? 90120*d**3 Let o(g) = -2480*g + 1739. Let b(s) = -4962*s + 3480. Let p(h) = -3*b(h) + 7*o(h). What is the first derivative of p(u) wrt u? -2474 Let k = 115 - 112. Find the third derivative of k*g**2 + 8*g**4 + 12*g + 1220*g**3 - 1220*g**3 wrt g. 192*g Suppose -3*d + 8752 - 1223 = 5*v, 6026 = 4*v + d. Find the second derivative of v*o**2 - 10*o - 2*o**3 - 1507*o**2 + 48*o**4 wrt o. 576*o**2 - 12*o Let d(p) be the first derivative of 18*p**2 + 1941*p + 1954. Differentiate d(t) with respect to t. 36 Let h(p) be the second derivative of 383*p**3/3 + 1073*p**2/2 + 11*p + 7. Differentiate h(w) wrt w. 766 Let m(s) be the third derivative of -19/60*s**5 - 12*s**2 - 1/120*s**6 - 2 - 5/24*s**4 + 0*s**3 + 0*s. Find the third derivative of m(l) wrt l. -6 Find the second derivative of -26 + 123*a + 6 + 477*a**4 - 301*a + 155*a + 372*a**4 wrt a. 10188*a**2 Let f be 1/(0/(-7) - 1/(-2)). What is the third derivative of 2*k**3 - 8*k**5 + 44*k**5 - 5 - 23*k**2 + 20*k**f wrt k? 2160*k**2 + 12 Suppose -5*p + 20 = -p. Suppose -4*n - 5*k + 12 = 0, 0*n - 2*n = -p*k - 6. Find the second derivative of -3*f**5 + n*f - 7*f - 8*f**5 wrt f. -220*f**3 Let l(q) be the third derivative of -581*q**5/20 - q**4/12 - 491*q**3/6 - 5*q**2 - 36*q. Find the second derivative of l(f) wrt f. -3486 Suppose -2*k + 45 = -5*j + 15, -2*k - j + 6 = 0. What is the second derivative of -47*h**5 + 38*h - 24*h**5 + 29*h**k wrt h? -840*h**3 Let p(b) = 13*b**2 - 2*b - 1770. Let u(l) = -40*l**2 + 10*l + 5309. Let f(o) = -17*p(o) - 6*u(o). What is the derivative of f(z) wrt z? 38*z - 26 Find the second derivative of 286*z**2 + 9*z**3 - 146*z**2 - 75*z - 137*z**2 - z**3 wrt z. 48*z + 6 Let a(o) be the first derivative of 1264*o**5/5 + 44*o**3/3 - 106*o + 8249. Find the third derivative of a(r) wrt r. 30336*r Let m(q) be the third derivative of -303*q**5/20 - 179*q**3/3 - 320*q**2 + 2*q. Differentiate m(f) wrt f. -1818*f Let w(m) be the second derivative of 99*m**8/56 + m**7/21 + 931*m**4/12 - 210*m. What is the third derivative of w(g) wrt g? 11880*g**3 + 120*g**2 Let x(d) = 55*d**3 + 99*d**2 - 99*d + 99. Let r(u) = -49*u - 50*u + 100*u - u**2. Let i(z) = 198*r(z) + 2*x(z). What is the first derivative of i(f) wrt f? 330*f**2 Let k(d) = 4*d**2 - 12 + d**3 - 14*d**2 + 2*d**2 + 9*d. Let h be k(7). What is the third derivative of 13*v**2 + 8*v**5 + 6*v**5 + 8*v**h wrt v? 840*v**2 Suppose 3986 = -5*p + 17886. Find the second derivative of -p*g**3 + 0 + 17*g + 2845*g**3 - 2 - g wrt g. 390*g Let p(s) be the second derivative of 29*s**6/30 + 19*s**5/20 + s**4/6 + s**3/3 + 115*s**2/2 + 3473*s. What is the third derivative of p(x) wrt x? 696*x + 114 Let l(n) be the first derivative of 661*n**6/6 - n**4/2 - 116*n**3 + 2*n**2 + 4417. Find the third derivative of l(i) wrt i. 39660*i**2 - 12 Let z(v) be the second derivative of -857*v**5/20 + 817*v**3/6 + 2*v - 882. Find the second derivative of z(d) wrt d. -5142*d What is the second derivative of -11428*n + 5754*n - 31 - 9758*n**2 + 5682*n wrt n? -19516 Let v(r) = 22*r**2 + 28*r - 239. Let l(j) = -15*j**2 - 21*j + 159. Let z(k) = -7*l(k) - 5*v(k). Find the second derivative of z(u) wrt u. -10 What is the second derivative of -1 + 10*x - 7*x**3 + 62*x**3 + 26*x**3 - 31*x + 3*x**2 wrt x? 486*x + 6 What is the third derivative of 2*f**2 - 59*f**3 + 20*f**3 - 58*f**5 - 6*f**2 + 75*f + 24*f**3 wrt f? -3480*f**2 - 90 Let n(d) be the second derivative of 239*d**6/6 - d**3/3 - 329*d**2 - 45*d. What is the second derivative of n(h) wrt h? 14340*h**2 Let i = 470 - 468. What is the second derivative of 5092*g**i - 2*g**3 + g**3 - 5084*g**2 - 14*g - 1 + 3*g wrt g? -6*g + 16 Let j(r) = 8*r**3 - 2*r**2 + 2*r - 1. Let a be j(1). Let y(g) = 6*g - 27. Let k be y(a). What is the first derivative of -19*n**4 + k*n**4 + 13*n**4 + 9 wrt n? 36*n**3 Let s(f) = 1162*f**3 + 6*f**2 + 3*f + 338. Let h(j) = 1164*j**3 + 5*j**2 + 3*j + 336. Let b(x) = -6*h(x) + 5*s(x). What is the second derivative of b(c) wrt c? -7044*c Let z(c) be the first derivative of 9*c**6/2 + 8*c**5/5 - 2*c**3/3 + 1378*c + 282. What is the third derivative of z(p) wrt p? 1620*p**2 + 192*p Let m = 2077 - 2058. Let a(g) be the first deriva
{ "pile_set_name": "DM Mathematics" }
Let w(i) = i**3 + 197*i**2 - 12954*i - 868. Calculate w(-249). 626 Let b(m) = -51875*m - 259408. Give b(-5). -33 Let w(r) = r**3 - 546*r**2 + 52622*r + 1266. Calculate w(421). 3 Let m(f) = 18504*f + 11120908. What is m(-601)? 4 Let u(q) = -q**3 - 166*q**2 + 5515*q + 915507. What is u(-166)? 17 Let g(t) = -2*t**2 - 272*t + 7676. Calculate g(-165). -1894 Let i(t) = 7*t**2 + 934*t + 7548. Calculate i(-125). 173 Let y(q) = 77*q**2 + 1923*q - 43. Calculate y(-25). 7 Let x(p) = -367*p - 19392. What is x(-53)? 59 Let i(w) = 3*w**2 + 1959*w + 119285. Determine i(-68). -55 Let f(x) = -50546*x - 1668041. What is f(-33)? -23 Let f(i) = -i**3 + 22*i**2 - 75*i - 595. Give f(15). -145 Let s(x) = -6*x**3 + 942*x**2 + 24*x - 3824. Determine s(157). -56 Let z(i) = -2*i**2 - 4716*i + 9438. Calculate z(2). -2 Let u(q) = 69159*q - 2558877. Determine u(37). 6 Let m(q) = 5*q**2 - 41*q - 1032. Determine m(-17). 1110 Let p(z) = 3*z**2 - 154*z + 1434. Give p(40). 74 Let j(b) = -505439*b - 4548955. Calculate j(-9). -4 Let g(m) = -3*m**2 - 1939*m - 13435. What is g(-7)? -9 Let o(f) = -659*f - 43407. Calculate o(-66). 87 Let t(x) = 97*x**2 - 92*x - 5. Give t(2). 199 Let f(k) = -k**3 + 160*k**2 + 299*k + 3873. What is f(162)? -177 Let q(v) = -v**3 + 263*v**2 - 2089*v + 385. Calculate q(8). -7 Let y(p) = p**3 - p**2 - 160*p + 275. What is y(12)? -61 Let t(p) = 181*p**2 - 6947*p + 2619. Give t(38). -3 Let v(k) = k**3 - 165*k**2 + 492*k - 1034. Give v(162). -62 Let v(z) = -24*z**2 - 35*z + 37. What is v(1)? -22 Let p(k) = -k**3 - 26*k**2 + 815*k + 429. Give p(20). -1671 Let n(r) = 2*r**3 - 55*r**2 + 41*r + 181. Give n(26). -781 Let a(h) = h**3 + 197*h**2 + 9478*h + 6. What is a(-84)? 1182 Let r(b) = 22*b**2 + 535*b + 1858. What is r(-4)? 70 Let h(c) = -3*c**3 + 955*c**2 - 1305*c + 11730. Determine h(317). 1 Let g(d) = -d**2 - 188*d - 8031. Give g(-71). 276 Let o(k) = k**2 + 315*k + 24674. Give o(-174). 140 Let t(y) = -333*y - 18557. Give t(-56). 91 Let f(n) = -106650*n + 1919705. Determine f(18). 5 Let d(v) = -17400*v + 34864. Determine d(2). 64 Let g(s) = 77*s**3 + 34*s**2 + 8*s + 5. What is g(-3)? -1792 Let l(v) = 4*v**2 - 1657*v + 36371. What is l(391)? 8 Let b(w) = -155*w - 33951. Calculate b(-219). -6 Let g(q) = -12771*q + 242693. Calculate g(19). 44 Let c(u) = -54634*u - 2239995. What is c(-41)? -1 Let t(a) = a**3 + 29*a**2 - 66*a - 78. What is t(-31)? 46 Let z(i) = 21539*i - 1443102. What is z(67)? 11 Let x(q) = 1822*q + 12456. Give x(-7). -298 Let x(g) = -g**3 + 1245*g**2 - 49365*g + 36. Calculate x(41). -5 Let l(b) = -b**2 - 2625*b + 39602. What is l(15)? 2 Let d(r) = 1255*r - 173177. Calculate d(138). 13 Let r(z) = 2*z**3 - 87*z**2 + 22*z + 714. What is r(43)? -189 Let l(m) = 213*m**2 + 328*m - 199. Determine l(-2). -3 Let f(c) = 586*c - 3026. What is f(5)? -96 Let r(z) = 193*z**2 + 882*z - 32. Determine r(-5). 383 Let d(y) = 4105*y + 7766. Calculate d(-2). -444 Let n(r) = -558*r + 150521. Give n(269). 419 Let y(m) = -6*m**2 + 11377*m - 202830. What is y(18)? 12 Let k(h) = 349*h + 14700. Calculate k(-43). -307 Let m(h) = 791*h - 115503. Give m(146). -17 Let b(r) = 29*r**2 + 679*r - 9188. Calculate b(-33). -14 Let y(t) = 13*t**2 - 1107*t + 4382. What is y(81)? 8 Let a(g) = g**2 - 235*g + 1336. Determine a(6). -38 Let o(b) = 111*b**2 + 1806*b - 1477. Calculate o(-17). -100 Let t(c) = -c**3 - 849*c**2 - 1073*c - 190776. Calculate t(-848). 24 Let o(q) = 383*q - 3351. Give o(7). -670 Let v(t) = -6*t**2 + 196*t + 1440. Calculate v(-10). -1120 Let z(s) = -6*s**3 + 186*s**2 + 585*s + 7. Calculate z(-3). 88 Let a(v) = -2*v**2 - 14*v - 2. Calculate a(-7). -2 Let z(h) = -6308*h - 189244. Give z(-30). -4 Let b(v) = -2769*v - 423906. Give b(-153). -249 Let w(f) = 84354*f**2 + 337417*f - 2. Give w(-4). -6 Let n(k) = 16861*k + 1601803. Determine n(-95). 8 Let g(x) = 7*x**3 + 366*x**2 - 257*x + 429. Calculate g(-53). 5 Let s(f) = -2923*f + 1224736. Give s(419). -1 Let y(w) = w**3 - 31*w**2 + 11*w + 791. Give y(0). 791 Let w(k) = 14*k**2 - 18388*k + 153944. What is w(1305)? -46 Let w(r) = 72*r**2 - 2962*r + 410. Calculate w(41). 0 Let d(z) = z**3 + z**2 - 430*z + 1754. What is d(-23)? 6 Let h(b) = -2*b**3 - 2766*b**2 + 8324*b + 11097. What is h(-1386)? 9 Let y(t) = 11*t**2 + 1494*t - 50852. What is y(-164)? -12 Let c(x) = -x**3 - 43*x**2 + 2489*x + 31253. Give c(-11). 2 Let n(f) = -21843*f - 130662. Calculate n(-6). 396 Let a(g) = g**3 + 68*g**2 - 55*g - 751. Calculate a(-69). -1717 Let f(h) = 338623*h + 2709020. Give f(-8). 36 Let y(u) = -2*u**2 - 183*u - 2278. Determine y(-68). 918 Let p(h) = 10*h**2 + 2087*h + 3513. Determine p(-207). -6 Let w(g) = g**3 + 48*g**2 - 593*g + 42. Give w(10). -88 Let t(a) = a**3 + 266*a**2 + 15840*a - 141. Determine t(-176). -141 Let d(j) = 93*j**2 + 2629*j - 2671. Determine d(1). 51 Let w(m) = -m**3 + 47*m**2 + 71*m - 1361. Calculate w(48). -257 Let i(q) = -q**3 - 33*q**2 - 375*q - 2645. What is i(-20)? -345 Let a(y) = -27*y**2 - 248*y - 35. What is a(-9)? 10 Let v(y) = y**2 - 15*y - 485. What is v(30)? -35 Let g(q) = -25*q**3 + 658*q**2 + 1942*q + 24. What is g(29)? -5 Let d(l) = 8*l**3 - 166*l**2 + 314*l + 30. What is d(2)? 58 Let s(g) = 3*g**3 + 393*g**2 + 2253*g + 229. Calculate s(-125). -146 Let k(y) = 18*y**2 - 932*y + 819. What is k(51)? 105 Let u(k) = 84289*k + 1517091. What is u(-18)? -111 Let o(y) = 2*y**3 - 170*y**2 - 2873*y - 1411. Calculate o(-14). 3 Let j(k) = 2*k**3 + 2802*k**2 + 5603*k + 9786. Calculate j(-1399). -7 Let k(y) = 42*y**3 + 3*y**2 - 27*y - 55. Give k(-2). -325 Let l(i) = i**3 + 47*i**2 - 274*i - 865. Determine l(-52). -137 Let s(z) = -2*z**3 - 40*z**2 + 1672*z + 35059. What is s(-22)? 211 Let u(s) = -s**2 + 330*s - 20766. Give u(85). 59 Let s(n) = -887*n + 9966. Give s(11). 209 Let r(s) = -3*s**3 - 1317*s**2 - 3466*s + 199696. Give r(-436). 8 Let c(p) = -618*p - 75964. Determine c(-123). 50 Let o(f) = 360*f**2 + 38151*f - 902. Give o(-106). 52 Let h(m) = -332042*m + 664088. Determine h(2). 4 Let c(o) = -831*o - 13543. Give c(-15). -1078 Let f(l) = -l**2 + 936*l - 175193. What is f(677)? 150 Let x(d) = 2337*d - 184584. What is x(79)? 39 Let p(s) = 3*s**3 - 39*s**2 - 16261*s + 211392. What is p(13)? -1 Let v(j) = 9469*j - 104149. Determine v(11). 10 Let c(f) = -f**2 + 7396*f - 235668. Give c(32). -20 Let n(r) = 23*r + 1079. Determine n(-41). 136 Let u(d) = 60*d**2 + 545*d - 11446. Determine u(10). 4 Let t(x) = -2514*x + 52827. What is t(21)? 33 Let m(q) = 24*q**2 - 683*q + 2070. Determine m(25). -5 Let f(n) = n**3 + 417*n**2 - 17293*n - 1371. Give f(-455). -6 Let j(z) = -5315816*z + 26579062. Give j(5). -18 Let y(h) = 6405*h + 64081. What is y(-10)? 31 Let f(p) = 2007*p + 46169. Give f(-23). 8 Let y(r) = -4950*r - 19812. Give y(-4). -12 Let n(f) = -f**2 + 128*f - 2577. Give n(100). 223 Let b(g) = g**3 - 72*g**2 + 1521*g - 9713. Calculate b(40). -73 Let o(z) = z**2 - 1485*z + 146184. What is o(106)? 10 Let y(b) = 121*b**2 - 21*b + 42. Give y(2). 484 Let t(m) = -3*m**3 + 2192*m**2 - 5857*m + 23873. Give t(728). -151 Let f(p) = 274*p**2 - 3212*p + 2177. Calculate f(11). -1 Let m(w) = -239046*w + 5976181. Give m(25). 31 Let a(u) = -u**3 + 139*u**2 - 3853*u + 1615. Determine a(101). 100 Let o(p) = -34*p**2 - 95*p + 1505. Determine o(10). -2845 Let y(i) = 75*i**2 + 5307*i - 1212. What is y(-71)? 66 Let c(b) = -74*b + 10571. Give c(140). 211 Let o(x) = -5*x**2 + 4166*x - 434420. Give o(711). 1 Let o(q) = -6*q**3 + 2516*q**2 + 1642*q + 15948. Calculate o(420). -12 Let h(o) = 2481*o - 2519. Calculate h(1). -38 Let q(t) = 144*t + 16722. Determine q(-118). -270 Let x(m) = -m**3 - 74*m**2 + 314*m + 191. Determine x(-78). 35 Let c(i) = i**3 + 309*i**2 + 274*i - 10471. Determine c(-308). 1 Let j(u) = -72906*u + 2041334. Calculate j(28). -34 Let c(y) = -7696*y - 38598. Give c(-5). -118 Let t(a) = a**2 + 46*a + 817. Give t(-35). 432 Let g(k) = 1185*k + 86566. Determine g(-73). 61 Let p(a) = -30*a**3 - 106*a**2 - 163*a - 656. Give p(-4). 220 Let b(v) = 6*v**3 + 222*v**2 - 32*v + 223. Give b(-37). 1407 Let m(q) = 3*q**3 + 57*q**2 - 680*q + 332. Determine m(8). 76 Let t(v) = 65*v - 3800. Determine t(86). 1790 Let o(x) = 2*x**3 - 178*x**2 - 128*x - 4723. Calculate o(90). -43 Let l(j) = -417*j + 13610. Calculate l(33). -151 Let t(l) = l*
{ "pile_set_name": "DM Mathematics" }
as f? True Let z(o) = o + 4. Let k be z(-5). Which is smaller: -3/8 or k? k Let n(d) = -d - 8. Let y be n(-8). Is -1/17 != y? True Let h = -89.1 - -88. Which is greater: 0.06 or h? 0.06 Suppose 15 = d - 9. Is 20 smaller than d? True Let f be (284/10)/(18/(-75)*-5). Are 25 and f nonequal? True Suppose -1 - 3 = 2*h. Let x = h - -5. Are -1 and x unequal? True Suppose -2*i + 6 = -0. Suppose 0 = -i*q - 2*q. Is q at most 1/15? True Let d be 66/44 + (-590)/388. Are 1 and d non-equal? True Let l(t) = -4*t + 7*t + 2*t - 3 - 4*t. Let m be l(3). Which is greater: -4/11 or m? m Let q = 0.27 + -13.37. Let h = q - -13. Do h and 0.1 have the same value? False Let d be -14*(-14)/(-52) + 4. Is d < -0.1? False Let s(y) = y**2 + 3*y + 3. Suppose -5*v - 12 - 3 = 0. Let o be s(v). Suppose -5*n = 4*w - 6*n - 9, -1 = w + o*n. Which is smaller: w or 0? 0 Let f = -23 - -9. Is f >= 0.1? False Suppose s - 6 = 4. Let z be s/25 + 3/(-20). Which is smaller: z or 0? 0 Suppose 2*j = 4*u + 2 + 12, j + u + 2 = 0. Let o = -8 + 15. Let v(m) = m**2 - 6*m - 5. Let d be v(o). Which is greater: d or j? d Let i = -0.3 - 0.7. Let f(y) = -y**2 + 6*y + 6. Let m be f(7). Is i at least m? True Let u(n) = -n**3 + 6*n**2 - n + 7. Let b be u(6). Let o be -3 + 1 + 5 + -3. Let q = o - b. Which is greater: q or -1/10? -1/10 Suppose 2*k = -5*p + 26, 0 = -0*p - 4*p + 3*k + 7. Suppose -6 = p*d + 10. Let s be (5/(-2))/(-2 - -3). Is d not equal to s? True Suppose 0*w - w + 22 = -2*v, -8 = 4*w. Let s be ((-4)/(-12))/((-1)/v). Is s at least as big as 4? True Let s = 0.3 + -0.5. Let q = 3/382 - 779/147834. Let v = 85/387 + q. Is v smaller than s? False Suppose -4*x + 5*g = 89, 4*g - 109 = x + 4*x. Is -21 not equal to x? False Let u = 0.29 + -0.3. Let b = -2 + 1.91. Let o = u + b. Which is smaller: -4 or o? -4 Suppose 0 = -s + 3*s - 18. Let r = s - 14. Which is smaller: r or -4? r Let p = 740/1743 + 1/249. Which is smaller: 1 or p? p Suppose -28 + 3 = -5*u + f, 4*u + 4*f - 44 = 0. Let p be (-4)/u + (-184)/(-267). Let r = p + 259/356. Which is bigger: 2 or r? 2 Let w be 2 - (0 - (-7)/3). Let o = 23 - 32. Let u = o + 12. Which is smaller: w or u? w Suppose -o + 3*o = 60. Let u be -2*(-1 + o/4). Does -13 = u? True Suppose -5 = 5*w - 3*d, -4 = -d + 1. Suppose -2*q - w*q = 0. Let o be 0/(4/(-1)) + -1 + 0. Is o less than or equal to q? True Suppose 2*y - 5 = -1. Suppose y = -2*d + 4. Let w = -27/65 - -8/13. Which is greater: d or w? d Let b = 6.6 - 2.84. Let y = b - -0.14. Let t = -4 + y. Is t smaller than -3/5? False Let h be 12/(-10)*30/(-12). Let s(g) = g**3 - 5*g**2 + 4. Let d be s(5). Which is smaller: d or h? h Let j(h) = -h**2 - 5*h + 1. Let l be j(-5). Let r be ((-8)/10)/(l/(-5)). Suppose 2*u - r = 4*u. Are u and -4/3 equal? False Let x be 1/(-252)*2*4. Let l be ((-179)/(-189))/((-5)/(-3)). Let w = l - x. Which is bigger: 1 or w? 1 Let u = -0.1 - 0. Let o = -2.6 - 0.4. Is o > u? False Let k(o) = -o**2 + 5*o + 3. Let p be k(5). Suppose -p*h = -8*h. Which is smaller: 4/7 or h? h Suppose 0 = -4*x - 0*x. Let k = x + 2. Is 2 > k? False Let l(x) be the third derivative of -x**5/30 + x**3/6 - x**2. Let k be l(1). Is 1/3 greater than k? True Let y = 1/7636 - 91667/267260. Let m = y - -37/35. Are m and 1 nonequal? True Let i be 282 - (3 + -2)/(-1). Let w = 396 - i. Let l = w + -793/7. Is l at most as big as -2/17? True Let g(l) = -l**3 + 2*l**2 + 2*l - 3. Let v be g(2). Is 5/7 smaller than v? True Let q = 0 - -2. Let y = 146 - 1292/9. Let i = -8/3 + y. Is i less than q? True Let s(v) = 2*v**2 + 2*v - 1. Let g be s(-2). Suppose -3*m + 10 = -2. Let y(d) = d**2 - 5*d + 6. Let t be y(m). Which is bigger: t or g? g Suppose 4*g + 35 = 5*u, 2*u + 0*u + 14 = -4*g. Suppose s - 6*s = -4*c - 8, -6 = u*c. Which is greater: -5/6 or s? s Let l be 3/((-6)/(-2)) + 1. Suppose 12 = -0*q - l*q. Let g = q + 23/4. Which is bigger: 3 or g? 3 Suppose -3*v - 2*i = -13, 5*v + 5*i - 3*i - 23 = 0. Suppose f - 3*q = q + 15, f = -v*q - 12. Let d be f/(-2)*(-4)/21. Which is greater: d or 1? 1 Let m = -17 - -17. Which is smaller: -4 or m? -4 Let h = -5 - -5. Is 1/3 >= h? True Let q = -10 - -8. Is q != -5/7? True Suppose 2*a - 9 = -3*t, t = -0*a - 3*a + 3. Let s(r) = 3*r - 4. Let h be s(t). Suppose 7*m + 10 = h*m + 4*n, 0 = 3*m + 3*n - 3. Is 1/8 >= m? True Suppose 12*h = 14*h - 2. Which is bigger: h or 1/44? h Let b be 4*(0 - (-2)/4). Suppose b*t = t - 15. Let c be (-15)/(-6)*4/t. Which is smaller: -2 or c? -2 Let k = -17.93 - -18. Which is smaller: k or -2? -2 Let t = -2/19 + -47/95. Suppose 2 = -3*n - 5*g - 16, 5*n - 3*g - 4 = 0. Which is bigger: n or t? t Let a = 87.4 + -107. Let g = a + 23. Let b = -3 + g. Is b >= 0.1? True Suppose 11 = -4*i + 31. Suppose 16 = -3*h + 5*r, 4*r - 5 = i*h - 0. Suppose -4*x - 1 = h*u, -6*x + 2*x = 4*u. Is u < -0.1? False Let i = 0.6 + -1. Let r = i - -0.3. Let q = -0.064 + -0.936. Is q at least r? False Let h be (-6)/(-42)*0 - (-21)/4. Which is smaller: h or 4? 4 Suppose -5*v + 3 = -4*q - 2, -4*q = -4*v + 4. Suppose 2*j = 3*j - 3*f - 3, -3*f - 12 = 0. Let k be j/60*2/3. Which is smaller: q or k? k Let z = 12.1 + -10. Let t = z + -2. Does t = -2/9? False Suppose -5*a + 6 = -2*a. Suppose 0*v + a*v = 12. Are 6 and v equal? True Let c = 6 + -1. Let v be (1/(-3))/(1/(-3)). Let q be 2 - (c - (v + 0)). Is -3 <= q? True Suppose 3*c = 1 - 25. Are c and -6 unequal? True Let a be ((-2)/2 + 2)/(-1). Let u(q) = -q**2 + 14*q - 8. Let p be u(13). Let f = -5 + p. Which is greater: a or f? f Let j(h) = h**2 + 9*h + 1. Let r be j(-9). Let z be (-11 - (r - 2))/1. Let t = z + 14. Is 4 at least as big as t? True Let m = -0.09 - 4.91. Let k = m + 10. Which is smaller: k or 0.1? 0.1 Suppose -3*n = -4*n. Suppose n*q = -q. Is q bigger than 2? False Let v be -2*(-1 + (-10)/(-16)). Let l = 3/20 - v. Which is smaller: -0.1 or l? l Let l = 2.1 - 2.08. Which is smaller: -0.1 or l? -0.1 Let h(m) = -m**3 + 13*m**2 + 13*m + 20. Let b be h(14). Which is greater: 7 or b? 7 Let u = 52 - 209/4. Is u greater than -6? True Let s be 1/((6/10)/3). Suppose -y - 5*a = -4*y + 31, s*y - a - 15 = 0. Let k = y + -3. Which is smaller: 2/5 or k? k Let p be 12/(-24) - 42/(-4). Is 0.2 bigger than p? False Let h be (-16)/(-80)*5*1. Let u be 2 - 5/(75/36). Which is bigger: h or u? h Let y be (-16)/(-4)*2/4. Let d be 4/2 - (-56)/(-40). Is d < y? True Let r be 0 - 1 - (-186)/(-5). Let s = -123 - -85. Let a = s - r. Is 1 at least a? True Let l = -0.07 + 1.07. Let t = 2 - l. Which is bigger: 0 or t? t Let x be 3/(-1) - 26/(-4). Which is bigger: x or 4? 4 Let b = -8 - -31/3. Do b and 3 have different values? True Let j be 288/45 + 4/(-10). Let v be (4 - 1) + j/(-4). Is 2 <= v? False Suppose u + 20 = 4. Let n = u - -13. Let x(i) = -3*i**3 + i. Let v be x(1). Which is bigger: v or n? v Let o be (2/(-12))/((-6)/2 + 4). Is 0 less than o? False Let s = 0.08 - 0.13. Is -1 smaller than s? True Let q be (4/12)/((-2)/12). Let h(u) = u**2 + u - 2. Let s be h(q). Which is smaller: 7 or s? s Suppose -2*c = 3*c + 50. Let p = c + 14. Suppose 0 = 5*q - p*r + r + 4, 3*q = -r + 6. Does q = 0? False Let x(d) = d**3 - 2*d**2 - 4*d + 4. Let v be x(3). Let m = -4 - 0. Let s be 6/20 - m/(-8). Which is bigger: v or s? v Let f(r) = -r + 8. Suppose -2 = b - 8. Let a be f(b). Let t = 395 + -392. Is a at least as big as t? False Let q be 2/4*9*-2. Let r(j) = j + 12. Let o be r(q). Suppose -2*f - o = -3*f. Do f and 3 have the same value? True Suppose -i + 8 = -3*i. Is i not equal to -4? False Suppose -4*q + 0*q + 36 = 0. Let a be 0*((-15)/q)/(-5). Let z = 0 + -2. Which is bigger: z or a? a Let t = -4/19 - -1/95. Suppose 0 = -2*a + 5 - 11. Let k be (-1)/a - 4/3. Is k less than t? True Let j = 327.17 - 330. Let x = -0.17 + j. Is -2/3 greater than or equal to x? True Suppose 2*v = 6*v. Which is greater: v or 4/23? 4/23 Let k be 66/14 - (-6)/21. Suppose -6 = k*a - 31. Suppose -a*i + 2 = -t - 7, -2*i + t + 3 = 0. Is i greater than or equal to 2? True Let m(y) = y**2 + 8*y + 13. Let c be m(-6). Is 7 at least as big as c? True Suppose 5*j + 0*z + 58 = 2*z, 0 = -2*j + 4*z - 20. Which is greater: -2 or j? -2 Let c = -1 + 1. Let m be 5/2*(3 + -1). Let o be 2/m - 64/60. Is c at least o? True Let h = 41 + -14. Let c = h - 27. Which is greater: -2 or c? c Let z = 1 + 2. Suppose -2*u + z*f - 7*f = -1
{ "pile_set_name": "DM Mathematics" }
158661? -110530158753 Work out -1 + -1759662644. -1759662645 Sum 1.08 and -0.8383839177. 0.2416160823 Subtract -306499301 from 2.686. 306499303.686 Add together 0.08044367 and -41210. -41209.91955633 What is 302692125 plus 862? 302692987 Sum -0.46617672673 and 0.0067. -0.45947672673 Calculate -10927387682 - 25. -10927387707 Add 36255.5 and 361956.5. 398212 Add 67 and -0.1979838077. 66.8020161923 What is -116608635702 take away 783? -116608636485 Subtract -762335080096 from -0.19. 762335080095.81 Sum -46160215 and 3.72054. -46160211.27946 56.551 - 2741077 -2741020.449 Put together 1.5346 and 455872. 455873.5346 Calculate -151 - 3567.34316139. -3718.34316139 What is -4400841 plus -641036? -5041877 What is the difference between 0.00089057341142 and 0.3? 0.29910942658858 Calculate 75.6689 + -116089.3. -116013.6311 Sum -6.288214721 and 0.156. -6.132214721 45426662710+-0.07 45426662709.93 Sum -0.4 and -1.5051088215. -1.9051088215 Add together 0.0091 and 193.9384866. 193.9475866 Put together 1393816224 and -108890. 1393707334 Total of 387.808333172802 and -0.1. 387.708333172802 Add -3.1 and 168673488400. 168673488396.9 Sum 0.2218 and -3299720540. -3299720539.7782 Add 1.157614662857 and -0.083. 1.074614662857 5842476 + -305606.43 5536869.57 10 + 6751258624 6751258634 -28+-29143579.29 -29143607.29 0.299223+-16.2116178 -15.9123948 Work out -157623 + -621.6622. -158244.6622 Add 2235369.4431 and -47. 2235322.4431 What is -3 minus 5963693188? -5963693191 What is 3840607.67 less than 4413.4? -3836194.27 Sum 3 and 23982857.7769. 23982860.7769 Add together 2376419486 and 2. 2376419488 2612 - -358366.591 360978.591 Work out -743003 + -0.852. -743003.852 Total of -42.5 and 5.20443237677. -37.29556762323 Calculate 5210857336979 - -2. 5210857336981 What is -2225957086 - 0.879414? -2225957086.879414 What is -60 + -1955682950? -1955683010 Total of -250.45016218 and -161. -411.45016218 Work out -734406 - -79949. -654457 What is the distance between -0.27678 and 904.8772? 905.15398 -1040329268523 + -5 -1040329268528 Work out 0.22211 - -369799716. 369799716.22211 -0.02428 + -1092181751.23 -1092181751.25428 What is -30 plus -5418174180663? -5418174180693 Sum -3.562 and 70474384661. 70474384657.438 Calculate 392 - -1230965736193. 1230965736585 Put together 15.07 and 2056097260. 2056097275.07 Work out 25.53034 + 86835. 86860.53034 Add together 243649 and -21.44713. 243627.55287 What is -369169055 minus -56.8? -369168998.2 What is 16842947 less than -52289? -16895236 Add together -212010866 and -54976. -212065842 -745 + 3778386980 3778386235 Calculate -70 - 43611958.22. -43612028.22 What is 0.0510546 - -3.51523065? 3.56628525 Add together 946731593 and 1.15. 946731594.15 What is 359629693 + -0.2002? 359629692.7998 Calculate 50821178257 + 0.7. 50821178257.7 Calculate 837817971 + -79. 837817892 What is 62198162125 less than 16? -62198162109 Subtract 3.169 from -1019849.65. -1019852.819 Add 115828299869 and 16.2. 115828299885.2 What is 2818935 plus 824806? 3643741 Subtract 20028312 from 909619.4. -19118692.6 What is 12222.0370744 take away 0.3? 12221.7370744 1.8741+-1.6315524765 0.2425475235 Total of 2 and 346207585798. 346207585800 -55121880241705 - -0.1 -55121880241704.9 What is -196465994422 minus -155? -196465994267 -44994193193273+-0.4 -44994193193273.4 Add 15.8288 and -30613964. -30613948.1712 What is -48883.5 take away 971143.33? -1020026.83 What is 2047657075419 less than -28? -2047657075447 Add together -85575161 and -0.008194. -85575161.008194 Sum -5 and -8235658540. -8235658545 What is 249645441 less than -30.88? -249645471.88 -0.1887779+-28255996 -28255996.1887779 Work out 122904 + -47241854. -47118950 What is 7665.795842647 less than 0.1? -7665.695842647 Add together -57929.44 and -1675.1. -59604.54 Subtract 124 from 0.52146584955. -123.47853415045 What is 776084.06602 + -3? 776081.06602 362241324111 + -0.01 362241324110.99 What is -1269541675048 - -0.11? -1269541675047.89 Work out 25673980340 - 299. 25673980041 What is -22183 - 23256636? -23278819 What is 0.1162 minus 1.80989338865? -1.69369338865 What is 33093 minus 0.06180572094? 33092.93819427906 Put together 0.136 and 1665439352565. 1665439352565.136 Add together -0.6 and 161630012.836. 161630012.236 What is 19307 less than 6294114258? 6294094951 Sum 2683730536 and 0.0255. 2683730536.0255 What is -4 less than -527479493508? -527479493504 What is 0.1168307965234 plus 0.13? 0.2468307965234 Put together 2605886 and -3486. 2602400 Work out -1431831 + 34473. -1397358 What is -18275134069552 + -18? -18275134069570 0.3484 - -79.721545 80.069945 What is -837279 plus -145018? -982297 What is the difference between -1639302.773 and 0.08? 1639302.853 What is the difference between -119.5 and 208373852221? 208373852340.5 1395645755 - 0.675 1395645754.325 Total of 0.4 and 24030636779. 24030636779.4 What is -46.69 - -2.5384621? -44.1515379 What is the distance between 4485958 and 522.6983? 4485435.3017 Calculate 66.66793295 + -11.76. 54.90793295 Calculate -0.5 - -807.42632492. 806.92632492 Total of -0.05848468 and -54762204. -54762204.05848468 Put together -110399866886 and 3.1. -110399866882.9 What is -4776953 minus 2639.1? -4779592.1 What is 35770 take away 1062427688? -1062391918 Total of -701.48563412 and -75. -776.48563412 -13555037.1 - 229929 -13784966.1 -0.3174762888 + 319 318.6825237112 Add together -139897.7404 and 37.99. -139859.7504 Total of 0.4 and -19749.2714906582. -19748.8714906582 318380698 - 3.5731 318380694.4269 Calculate 288.14336901 + 13.1. 301.24336901 What is -311723614442 - 0.1? -311723614442.1 Calculate 11762354804 - -214. 11762355018 Subtract -271362322.5 from -45882. 271316440.5 Sum 58082617 and -2.904. 58082614.096 Subtract 1222707597 from -4327. -1222711924 What is the difference between -118997829 and 5220? 119003049 Work out 289860 + -118695217. -118405357 Subtract -0.1374935 from 1.398884. 1.5363775 Put together -66 and 6281203343. 6281203277 Add -2748073000 and 61445. -2748011555 1.101 - -1764863645 1764863646.101 What is -9 take away -154198.80205? 154189.80205 Calculate 4075.7 + -5.5191099. 4070.1808901 Subtract -5965585 from -0.08304. 5965584.91696 What is 1722160427 less than -468.7? -1722160895.7 Work out 42320 - 2479925664. -2479883344 Subtract 33 from 3708356613554. 3708356613521 Add together 3312759286.49 and 0.08. 3312759286.57 0.0033+-560671252 -560671251.9967 Put together 7600.459 and -0.224294. 7600.234706 What is 39 take away -1750853147.74? 1750853186.74 Total of -482430919960 and 0.0235. -482430919959.9765 Add together 69279.6956 and -11. 69268.6956 What is -614 minus -100851277? 100850663 What is 2384 take away -2.70201516? 2386.70201516 Work out -591624711768 - -0.4. -591624711767.6 What is the distance between -4062602586 and -0.055465? 4062602585.944535 What is -0.061756 + 2167.866? 2167.804244 Work out -0.3 - 235780249.9536. -235780250.2536 What is 3.50499682 minus 58? -54.49500318 What is 36.69 + 148410418? 148410454.69 Work out -10208.5629775 - 3. -10211.5629775 Add together -11 and 6268356103212. 6268356103201 Sum 0.1 and 2492.2710427. 2492.3710427 Add 0.02 and -0.36618563557. -0.34618563557 Calculate 0.17 - -1543.1689972. 1543.3389972 What is -1 take away 0.72645562834? -1.72645562834 Work out 720.372581253 + -2. 718.372581253 6.21276236 + 56552 56558.21276236 -1818735267639.8 + 0.1 -1818735267639.7 What is -2523 - -2486185.266? 2483662.266 Add together 1.314800079 and -351.8. -350.485199921 What is 0.056283673 - -0.4887? 0.544983673 0.36 + -1.32516537679 -0.96516537679 Work out -2044722612521 - -57. -2044722612464 -13557300 - 1.04 -13557301.04 What is -6080184 - 0.794489? -6080184.794489 What is 0.146048347 + 0.275? 0.421048347 What is the distance between -66.46 and 688909.6639? 688976.1239 What is -1069834 less than -0.09479? 1069833.90521 Work out 3259 - -2275297.8. 2278556.8 Work out -86.2258956089 - 0.2. -86.4258956089 Sum -18.2 and -344.906153. -363.106153 Sum 45.38696 and 806805.98. 806851.36696 Sum 17456139.9182472 and 4. 17456143.9182472 6109+1454625046 1454631155 Work out 15795823.4 + 14.44928. 15795837.84928 What is 15597017727 take away 4863? 15597012864 Work out -2617552 - 9.159. -2617561.159 -0.03527153 + -506232 -506232.03527153 Work out -0.3 -
{ "pile_set_name": "DM Mathematics" }
+ 4226 for b. -15 Solve -4 + 45 = -25*p - 3 - 6 for p. -2 Solve 151 + 122 = 1351*i - 1312*i for i. 7 Solve -167 + 7128 = 335*j - 744 for j. 23 Solve 200*f - 256 - 529 = 1255 + 360 for f. 12 Solve 0 = -450*y + 123351 - 113001 for y. 23 Solve 79268 + 7398 = -2281*q - 4574 for q. -40 Solve -9425*v + 647852 = 11587*v - 717928 for v. 65 Solve 97*p - 1414 = -51*p + 1769 + 1553 for p. 32 Solve 339729 = 276*m + 326205 for m. 49 Solve 155*x - 2825 + 5460 = 0 for x. -17 Solve -63*d + 478*d = -177*d - 13616 for d. -23 Solve -78711*z + 181038 = -81032*z for z. -78 Solve 5453*j + 327649 = 27734 for j. -55 Solve 8570 + 10536 + 1886 = -256*u for u. -82 Solve 3610890 = 10184*r - 34471*r + 801190 - 177601 for r. -123 Solve 29142 = 9*n + 29727 for n. -65 Solve 3145 = -71*i - 4949 for i. -114 Solve -849*l - 397*l + 28916 = 6488 for l. 18 Solve 0 = 37*d - 9308 + 10677 for d. -37 Solve -4046 = -127*w + 4059 + 2697 - 769 for w. 79 Solve -54*g = 144*g - 270*g - 2016 for g. -28 Solve 4*i - 552 + 152 = -12*i for i. 25 Solve -434*x - 3801 - 3147 = 19368 - 3314 for x. -53 Solve 2446*j + 238 = 2453*j for j. 34 Solve 256*p - 2538 = -26*p for p. 9 Solve -34096 = 2591*h - 106*h - 354*h for h. -16 Solve -495*r + 49*r - 18366 = 5272 for r. -53 Solve 185051 = 343*u + 186423 for u. -4 Solve 258520 = -4939*s - 3083*s + 2402*s for s. -46 Solve 1476*c - 206780 = -593*c - 93039 + 105573 for c. 106 Solve -2244 = -890*g - 209*g - 13178 + 88963 for g. 71 Solve 12879293*o - 12879331*o = 2964 for o. -78 Solve 21*r - 4862 + 4400 = 0 for r. 22 Solve 3976*s - 33309 - 32254 = 25757 + 147240 for s. 60 Solve -516*a + 2455 = 11480 + 4612 + 43123 for a. -110 Solve 9*v + 3*v - 1680 = -36*v for v. 35 Solve 8919*l + 45823 = -7691 for l. -6 Solve -504 - 1181 = -9*w + 68*w + 498 for w. -37 Solve 396858 = -5098*q + 1148*q - 1204*q for q. -77 Solve 1330*x = -526*x - 475*x + 623*x - 158844 for x. -93 Solve 1667 = -336*c + 9406 - 347 for c. 22 Solve -7249*o + 6324*o + 37925 = 0 for o. 41 Solve 254*l = -3034 - 102 - 1182 for l. -17 Solve -2453*z = -1939*z - 2570 for z. 5 Solve 2538*j - 84050 - 192666 = -58448 for j. 86 Solve 65*s + 546*s = 8*s + 22914 for s. 38 Solve -603*h - 714*h + 7636 = -1483*h for h. -46 Solve 77519 = -574541*s + 575698*s for s. 67 Solve 533*h = 3100*h - 5217 + 28320 for h. -9 Solve -130*g - 119*g + 340*g - 7252 = 287*g for g. -37 Solve -59*i - 278*i - 1797 = -41*i + 303*i for i. -3 Solve 0 = 82*h + 132*h - 27*h - 793 + 7712 for h. -37 Solve -2238*p + 9747 = 2189*p - 17006 - 17517 for p. 10 Solve -189*k - 120*k = 304*k + 380*k + 47664 for k. -48 Solve 0 = -311*c - 4200 - 11350 for c. -50 Solve -38446 = -295*b - 400*b - 2185 + 14474 for b. 73 Solve 12931 = -984*b - 845 for b. -14 Solve 5*v = 32*v + 25*v - 2857 - 523 for v. 65 Solve 0 = -210*s - 54 - 912 - 1344 for s. -11 Solve 0 = 5*m - 3751 + 3736 for m. 3 Solve -1504*r - 201 = -12233 for r. 8 Solve 55*o = -188*o - 15958 - 1923 - 5933 for o. -98 Solve 0 = -9999*y + 10776*y + 62937 for y. -81 Solve 133*d = 493558 - 489435 for d. 31 Solve 17*z + 10*z - 189 + 363 = -285 for z. -17 Solve -177*w - 7967 = -434*w for w. 31 Solve 1516*m + 256 = -10685 + 329 for m. -7 Solve 345*d - 172*d - 440 = 165*d for d. 55 Solve -257752 + 309878 = -778*n for n. -67 Solve 15262769*h + 14630 = 15262615*h for h. -95 Solve 83*q + 1657 = -252 for q. -23 Solve 3*n + 230 = 428 for n. 66 Solve 0 = -6021127*z + 6021198*z - 3763 for z. 53 Solve 369334 = 2520*b + 13538*b for b. 23 Solve 166*q - 303 + 616 = -34 - 981 for q. -8 Solve -2719 = 70*s + 151 for s. -41 Solve 158*a = -330 + 1436 for a. 7 Solve 0 = 5105*p + 3772 + 21838 + 132645 for p. -31 Solve 1831*u + 22730 = 1364*u + 314 for u. -48 Solve 30*h + 3*h + 302 = -1565 - 113 for h. -60 Solve 553*i + 5091*i + 623000 = -966*i - 390*i for i. -89 Solve -430*g = 42*g + 4*g + 35224 for g. -74 Solve 0 = -2446*f + 2408*f - 158 + 994 for f. 22 Solve 0 = 597*f - 117*f + 182*f - 18536 for f. 28 Solve 7831 = -118*o + 10899 for o. 26 Solve -1094 = -31*k - 432 - 383 for k. 9 Solve 476*b + 1233*b + 95704 = 0 for b. -56 Solve 20240*h + 1671 = 20195*h - 1614 for h. -73 Solve -12587 - 33226 - 2446 = 1398*t - 727 for t. -34 Solve 191*u + 216 = -3222 for u. -18 Solve -22025 = -111*c - 25466 for c. -31 Solve 6808*i - 6655*i - 153 = 0 for i. 1 Solve -5723334 = 56*z - 5725182 for z. 33 Solve 903*c + 3525828 - 3559239 = 0 for c. 37 Solve -350*k + 4285 + 4824 = -3989 - 202 for k. 38 Solve -904*h + 624*h = 1067*h + 505*h - 51856 for h. 28 Solve -1077*h + 15 = 1188*h + 331*h + 15 for h. 0 Solve 590*m + 35936 = 106736 for m. 120 Solve 39*g = 232641 - 235020 for g. -61 Solve 4266*t = -272729 - 124009 for t. -93 Solve 1353*m + 1187*m + 280209 = -473*m for m. -93 Solve 11330 = 97*c + 6092 for c. 54 Solve -3758*n + 35248 = -227812 for n. 70 Solve -8*j + j = 28*j + 6*j - 574 for j. 14 Solve 43*o = -35*o + 3*o - 3009 + 459 for o. -34 Solve 212*p = 923*p + 699*p + 69090 for p. -49 Solve -98*t + 625*t - 40*t - 27272 = 0 for t. 56 Solve -7*b - 293 + 128 + 298 = 0 for b. 19 Solve -22341*n + 1080017 - 3113048 = 0 for n. -91 Solve -76*y - 508*y + 126*y = 447*y + 66970 for y. -74 Solve -102 = -1403*o - 1444*o + 2796*o for o. 2 Solve -4846*y - 1250*y = -1026*y - 131820 for y. 26 Solve -842*m - 10355 - 9027 = -51560 - 46128 for m. 93 Solve 138*h - 7744 = -148*h + 225*h - 2132 for h. 92 Solve 0 = 1535*k + 30255 + 48030 for k. -51 Solve -22474*v - 748237 = -603*v - 4152*v - 39477 for v. -40 Solve 123*y + 5941 - 14353 = 5856 for y. 116 Solve -28963784*h + 28963845*h = -1891 for h. -31 Solve -91*q - 2761 = 52*q - 12914 for q. 71 Solve -92757*q + 92802*q - 64 = -964 for q. -20 Solve -51523*f = -46920*f + 64442 for f. -14 Solve -1182*r - 109216 = -151768 for r. 36 Solve 12005*q - 11988*q + 1105 = 0 for q. -65 Solve -7085 + 3262 - 3196 = 645*z + 2656 for z. -15 Solve 0 = -74461*a + 74610*a + 447 for a. -3 Solve -556 - 124 = 33*l - 52*l + 29*l for l. -68 Solve -6140 = 98*x - 17802 for x. 119 Solve 1122*f + 79336 = -910*f + 418*f - 74*f for f. -47 Solve 101957 + 115287 = -3638*b + 60576 - 47060 for b. -56 Solve -746*v - 1909*v - 365564 = 443*v for v. -118 Solve 0*p = -13*p - 49*p + 12*p - 650 for p. -13 Solve 2386*d + 7344 = 2233*d for d. -48 Solve 88*l - 106*l + 693 = -41*l - 54*l for l. -9 Solve -11160 = 8076*p - 7797*p for p. -40 Solve 349*n + 72*n - 33*n = -4656 for n. -12 Solve 13740*j + 12577*j + 1766636 = 5801*j + 1722*j for j. -94 Solve -2182 = -1917*j + 3008*j for j. -2 Solve 460*a = -3464*a - 419868 for a. -107 Solve 4251435 - 4251419 = 4*j for j. 4 Solve 2318*b = 92886 - 2484 for b. 39 Solve -345*d + 2642 + 690 = 488*d for d. 4 Solve 0 = 8100*x - 16443*x + 8245*x + 2450 for x. 25 Solve 750*w + 12189 = 3693 - 5004 for w. -18 Solve 236*f + 40061 = 143*f + 772*f for f. 59 Solve -20008 = -184*s - 20560 for s. -3 Solve 0 = -2178*r + 1693*r + 23274 + 2916 for r. 54 Solve -16*k + 162 = -29*k - 797 - 237 for k. -92 Solve -337075 + 330283 = 283*h for h. -24 Solve -1248*c + 1258*c - 120 = 0 for c. 12 Solve 3199 - 5103 = 34*a for a. -56 Solve 0 = 51*x + 173*x + 18670 + 7762 for x. -118 Solve -70*i = 2118 + 122 for i. -32 Solve 0 = 615*b - 169*b + 375*b - 49260 for b. 60 Solve -11426 = -1471*s - 3775*s - 368154 for s. -68 Solve 1614*c + 9302 = -106829 + 14449 for c. -63 Solve 494481 = -6691*g + 102241 - 82821 for g. -71 Solve -6231*d + 68551 = -4832*d for d. 49 Solve -31841 - 36394 = -3722*r + 24815 for r. 25 Solve -40*a - 41289 = -42689 for a. 35 Solve 0 = 27211*k - 28390*k - 70740 for k. -60 Solve -664*q + 582*q - 22148 = 709*q for q. -28 Solve 63*z = -41116671 + 41109867 for z. -108 Solve -194*s - 885*s + 8276 = -10485 - 1740 for s. 19 Solve -710*y - 183*y - 244*y + 94689 = 366*y for y. 63 Solve -7490*w + 7629*w - 14873 = 0 for w. 107 Solve -24150 = 111*g + 234*g - 0*g for g. -70 Solve 50*a - 334*a + 12 = 28 - 16 for a. 0 Solve -13604*u - 4908 = -13195*u for u. -12 Solve -8427 = 1462*s + 32509 for s. -28 Solve -1793 + 754 = -28*a + 273 + 2328 for a. 130 Solve 0 = -31*p + 295 - 3116 for p. -91 Solve -6940*s = 6940*s - 13879*s + 40 for s. -40 Solve 116*s - 95*s - 76*s - 770 = 0 for s. -14 Solve 0 = -45*p + 679 + 1252 - 401 for p. 34 Solve 6600 = -114582*j + 115182*j for j. 11 Solve 4270*c = 4293*c - 1104 for c. 48 Solve 0 = 297*v - 230287 + 235930 for v. -
{ "pile_set_name": "DM Mathematics" }
? 352753 What are the prime factors of 1178155? 5, 11, 31, 691 What are the prime factors of 735866? 2, 139, 2647 What are the prime factors of 2373581? 7, 107, 3169 List the prime factors of 31819361. 7, 31, 331, 443 List the prime factors of 634023. 3, 13, 5419 What are the prime factors of 686998? 2, 13, 26423 What are the prime factors of 7995404? 2, 37, 89, 607 What are the prime factors of 4193206? 2, 251, 8353 What are the prime factors of 268203? 3, 13, 23 List the prime factors of 282167. 282167 List the prime factors of 4195153. 61, 97, 709 List the prime factors of 1647174. 2, 3, 274529 List the prime factors of 1799549. 1799549 List the prime factors of 2256991. 11, 19, 10799 What are the prime factors of 1226433? 3, 13, 41, 59 What are the prime factors of 895915? 5, 59, 3037 What are the prime factors of 7457253? 3, 19, 130829 What are the prime factors of 237835? 5, 13, 3659 List the prime factors of 1836737. 7, 262391 What are the prime factors of 75675? 3, 5, 1009 What are the prime factors of 26223? 3, 8741 What are the prime factors of 124865? 5, 13, 17, 113 List the prime factors of 830196. 2, 3, 7687 What are the prime factors of 2436077? 7, 348011 What are the prime factors of 440800? 2, 5, 19, 29 What are the prime factors of 1347083? 71, 18973 List the prime factors of 631150. 2, 5, 13, 971 List the prime factors of 2349522. 2, 3, 7, 29, 643 What are the prime factors of 37886? 2, 19, 997 What are the prime factors of 1214952? 2, 3, 23, 31, 71 List the prime factors of 30670758. 2, 3, 353, 1609 What are the prime factors of 4117719? 3, 167, 8219 What are the prime factors of 3448278? 2, 3, 63857 What are the prime factors of 4027173? 3, 101, 13291 What are the prime factors of 10912291? 13, 683, 1229 List the prime factors of 4910. 2, 5, 491 List the prime factors of 5556483. 3, 617387 What are the prime factors of 3522104? 2, 37, 73, 163 List the prime factors of 212637. 3, 70879 What are the prime factors of 40300064? 2, 7, 17, 19, 557 What are the prime factors of 3595202? 2, 13, 53, 2609 List the prime factors of 231470. 2, 5, 79, 293 List the prime factors of 8586793. 8586793 What are the prime factors of 6728034? 2, 3, 479, 2341 List the prime factors of 14492. 2, 3623 What are the prime factors of 15924911? 37, 127, 3389 List the prime factors of 36966. 2, 3, 61, 101 List the prime factors of 540789. 3, 180263 List the prime factors of 2035201. 7, 23, 12641 List the prime factors of 21376467. 3, 7, 59, 71 List the prime factors of 1066187. 157, 6791 List the prime factors of 48356. 2, 7, 11, 157 What are the prime factors of 7048574? 2, 13, 17, 37, 431 List the prime factors of 6804531. 3, 29, 31 What are the prime factors of 7427581? 7, 97, 10939 List the prime factors of 9290678. 2, 47, 98837 What are the prime factors of 3743670? 2, 3, 5, 7, 17827 List the prime factors of 660894. 2, 3, 13, 37, 229 What are the prime factors of 164554? 2, 13, 6329 List the prime factors of 18486015. 3, 5, 1232401 What are the prime factors of 858242? 2, 7, 11, 5573 List the prime factors of 192991. 192991 List the prime factors of 25692040. 2, 5, 11, 58391 List the prime factors of 9690082. 2, 4845041 List the prime factors of 20247884. 2, 17, 131, 2273 What are the prime factors of 8931746? 2, 113, 39521 What are the prime factors of 4621345? 5, 924269 List the prime factors of 416649. 3, 138883 What are the prime factors of 350210? 2, 5, 7, 5003 What are the prime factors of 25214977? 1297, 19441 List the prime factors of 1099543. 17, 64679 What are the prime factors of 1208520? 2, 3, 5, 373 What are the prime factors of 4748659? 311, 15269 List the prime factors of 7355885. 5, 1471177 What are the prime factors of 22970? 2, 5, 2297 List the prime factors of 343656. 2, 3, 37, 43 What are the prime factors of 1443072? 2, 3, 1879 List the prime factors of 1377432. 2, 3, 7, 911 List the prime factors of 838105. 5, 167621 What are the prime factors of 28739? 29, 991 List the prime factors of 6792902. 2, 29, 117119 What are the prime factors of 241139? 293, 823 What are the prime factors of 20033389? 20033389 List the prime factors of 742512. 2, 3, 31, 499 List the prime factors of 5726915. 5, 53, 21611 What are the prime factors of 6544667? 6544667 What are the prime factors of 390244? 2, 97561 List the prime factors of 5757431. 983, 5857 List the prime factors of 68635. 5, 7, 37, 53 What are the prime factors of 2784491? 2784491 List the prime factors of 1958162. 2, 17, 57593 What are the prime factors of 407767? 23, 17729 List the prime factors of 534535. 5, 106907 What are the prime factors of 1312106? 2, 31, 21163 What are the prime factors of 258437? 258437 What are the prime factors of 1126072? 2, 140759 What are the prime factors of 2360399? 17, 43, 3229 List the prime factors of 4294245. 3, 5, 353, 811 List the prime factors of 17000383. 19, 571, 1567 What are the prime factors of 2453558? 2, 1226779 What are the prime factors of 4244499? 3, 7, 89, 757 What are the prime factors of 600664? 2, 75083 List the prime factors of 1139778. 2, 3, 21107 What are the prime factors of 8899118? 2, 4449559 What are the prime factors of 16027956? 2, 3, 7, 37, 191 What are the prime factors of 850609? 23, 31, 1193 What are the prime factors of 410147? 29, 14143 What are the prime factors of 1098130? 2, 5, 11, 67, 149 List the prime factors of 1235074. 2, 617537 What are the prime factors of 82658? 2, 37, 1117 What are the prime factors of 128450? 2, 5, 7, 367 List the prime factors of 1753666. 2, 876833 What are the prime factors of 2586696? 2, 3, 7, 89, 173 List the prime factors of 6438509. 7, 11, 83617 What are the prime factors of 274996? 2, 68749 List the prime factors of 6617139. 3, 2205713 What are the prime factors of 450859? 450859 List the prime factors of 1203121. 1203121 What are the prime factors of 2009101? 293, 6857 What are the prime factors of 1607542? 2, 167, 4813 What are the prime factors of 375363? 3, 179, 233 What are the prime factors of 2078504? 2, 259813 What are the prime factors of 220606? 2, 73, 1511 What are the prime factors of 536115? 3, 5, 103, 347 List the prime factors of 4395516. 2, 3, 366293 What are the prime factors of 13050702? 2, 3, 7, 103577 What are the prime factors of 4536433? 11, 17, 1427 List the prime factors of 1287091. 13, 181, 547 What are the prime factors of 272588? 2, 68147 What are the prime factors of 373300? 2, 5, 3733 List the prime factors of 2108768. 2, 65899 What are the prime factors of 7454950? 2, 5, 149099 List the prime factors of 172276. 2, 13, 3313 What are the prime factors of 4353059? 1553, 2803 What are the prime factors of 108401? 108401 What are the prime factors of 13525815? 3, 5, 19, 47459 List the prime factors of 7661153. 101, 75853 What are the prime factors of 1167259? 179, 6521 What are the prime factors of 775189? 775189 What are the prime factors of 100736? 2, 787 What are the prime factors of 176610? 2, 3, 5, 7, 29 List the prime factors of 85361. 85361 List the prime factors of 8303762. 2, 37, 112213 What are the prime factors of 213204? 2, 3, 109, 163 What are the prime factors of 6187207? 13, 23, 20693 List the prime factors of 769349. 7, 2243 What are the prime factors of 399901? 23, 17387 List the prime factors of 3691720. 2, 5, 17, 61, 89 List the prime factors of 168431. 43, 3917 What are the prime factors of 2379372? 2, 3, 198281 List the prime factors of 1955469. 3, 631, 1033 List the prime factors of 760906. 2, 380453 What are the prime factors of 176574? 2, 3, 29429 What are the prime factors of 6316837? 6316837 List the prime factors of 609782. 2, 509, 599 What are the prime factors of 619868? 2, 353, 439 List the prime factors of 36504655. 5, 11, 107, 6203 What are the prime factors of 2780? 2, 5, 139 What are the prime factors of 21131026? 2, 7, 31, 181, 269 What are the prime factors of 122619? 3, 7, 5839 List the prime factors of 1291658. 2, 19, 1789 What are the prime factors of 237209? 7, 47, 103 List the prime factors of 8681203. 17, 257, 1987 List the prime factors of 1501632. 2, 3, 11, 79 What are the prime factors of 2527641? 3, 163, 1723 What are the prime factors of 3590699? 7, 31, 16547 What are the prime factors of 1014589? 4
{ "pile_set_name": "DM Mathematics" }
/x)**(2/41) assuming x is positive. x**(1524/1435) Simplify (v**17*v)/v*v**(-16)*(v**(-4))**(-39) assuming v is positive. v**157 Simplify ((y/(y**(-2)/y))**(-2)*y**(-10)/y**(-2/7))**(4/3) assuming y is positive. y**(-496/21) Simplify (w**(-5)/w)**(-2/49)/(w*w**(-8/7)*w/w**(1/8)) assuming w is positive. w**(-191/392) Simplify g*g/((g*(g**(1/3)*g)/g)/g*g)*g/((g/g**(-2/57))/g)*g**(-19)*g**(2/17) assuming g is positive. g**(-5572/323) Simplify ((u*u**(4/7)/u*u)/(u*u**(-8/5)*u))/((u**(-9)*u)/u**27) assuming u is positive. u**(1266/35) Simplify (n**2/n)**(2/15)*((n*n*n**(-2)*n)/n*n*n)**(-3/10) assuming n is positive. n**(-7/15) Simplify (u*u/(u*((u*u*((u*u*u**(-1/35))/u*u)/u)/u*u)/u))**(39/4)*u*((u/((u*u**29/u)/u))/u*u)/u*u**17/u assuming u is positive. u**(-1433/70) Simplify (s*s**(-4)*s)**(-4)*(s/(s/s**(2/5)))**30 assuming s is positive. s**20 Simplify ((o*o/(o*o**0*o*o))/o)/((o/((o*o**(-1/18)/o)/o*o)*o)/o)*o**(-1)/o**(1/25) assuming o is positive. o**(-1843/450) Simplify ((j/(j**(-9/2)/j))/(j*j**(-2/39)*j*j))/(j/(j*j**(-11)*j)*j*j**(1/4)) assuming j is positive. j**(-1201/156) Simplify (((p/p**(-6))/p*p**(-1/5))**(4/7))**(2/59) assuming p is positive. p**(232/2065) Simplify (u/(u/(u*u*u*u/(((u**(-1/4)/u)/u)/u)*u*u))*u**(-1/12))**(-19) assuming u is positive. u**(-1045/6) Simplify k**(1/7)/(k/(((k**(-9)*k*k)/k)/k))*k**(1/7)/((k*k**(-6)*k)/k) assuming k is positive. k**(-33/7) Simplify (s**(-1/6)/(s**(1/2)*s)*s*s**(-2/9)*s*s**(1/4))**(-1/4) assuming s is positive. s**(-13/144) Simplify (y**5)**(3/14)*(y/(y/(y**10*y)))/y**(-2/5) assuming y is positive. y**(873/70) Simplify (p*p**(-26))/(p/(p*(p/(p**32/p))/p))*p**(-17/2)/p**(-14) assuming p is positive. p**(-101/2) Simplify (k*(k**(1/3)*k)/k)/(k*k*(k/k**(-20))/k)*(k*k/(k/(k**(5/6)*k)))/(k**(4/7)/k) assuming k is positive. k**(-731/42) Simplify (n**(2/5)/n**(-8))/((n*n**(-1/4))/(n*n**(-4/9))) assuming n is positive. n**(1477/180) Simplify (r/(r**(-6/11)/r)*r**(-17))**42 assuming r is positive. r**(-6678/11) Simplify (q/(q/(q*q**(2/23))*q)*q**(1/37)/q)/((q**(-1/28)*q)/(q**(-13)/q)) assuming q is positive. q**(-377681/23828) Simplify ((f**24/f)/f*f)**(-13/4)/(f*(f*f*f**4)/f)**(-3) assuming f is positive. f**(-227/4) Simplify (p**(2/11)*p)**22/(p*p**4)**(1/47) assuming p is positive. p**(1217/47) Simplify a**(-11)*a*a**(-13)*a/(a*a**(2/9)/a)*a*a**(2/7) assuming a is positive. a**(-1319/63) Simplify ((g**(-21)/g)/g)/g**(13/3)*g**(-5)*g/g**(-3/4) assuming g is positive. g**(-367/12) Simplify ((b/b**7)/b**6)/(b**(-1/20)/(b*b**1)) assuming b is positive. b**(-199/20) Simplify x*(x**(1/18)/x)/x*(x*x**15*x)/x*x*x**(1/12)/(x/(x*x**(1/7))) assuming x is positive. x**(4103/252) Simplify (d**(-2/3))**(1/18)/((d/d**(-15))/((d**7/d)/d)) assuming d is positive. d**(-298/27) Simplify (m/(m/m**(-2/25)))**(-9)/((m**(2/23)*m*m)/(m*m**(32/3))) assuming m is positive. m**(17767/1725) Simplify (r*r**(-12/11)*r/(r*r/((r/(r**(-1/3)/r)*r)/r)))/(r/((r*r/(r/r**(-8)))/r)*r**(-1/3)) assuming r is positive. r**(-245/33) Simplify (j*j/(j*(j**(-4)/j)/j*j)*j)**(1/18)/(j**(-12)/j**(1/7)) assuming j is positive. j**(1579/126) Simplify (((a/(a*a**(2/19)))/a)/(a**9*a))/(a/(a*a*a**(6/11)))**(4/19) assuming a is positive. a**(-2253/209) Simplify ((f/(f**(2/15)*f)*(f/f**11*f)/f)**(-46))**(-37) assuming f is positive. f**(-258704/15) Simplify (z**16/(z/(z**(-2/25)/z)))/(z**(-3/22)*z**(-3/2)) assuming z is positive. z**(4278/275) Simplify t**(3/14)/(t/(t*t*t**(-12))*t)*t**(-4)/((((t*t**11*t)/t)/t)/t) assuming t is positive. t**(-361/14) Simplify (u**(1/7))**(-8/5)*u**(6/7)/(u*u/(u**3/u)) assuming u is positive. u**(22/35) Simplify ((l**7*(l**(-4)*l)/l)**(-18))**(-1/30) assuming l is positive. l**(9/5) Simplify (t**(-1/12)/(((t/(t**(-8)*t))/t)/t))/(t/(t*t**(2/27))*t**(9/5)) assuming t is positive. t**(-4217/540) Simplify ((v**(-2/5))**(-35)*v/(v*v**(-2/13)/v)*v**(-1/12)*v)**(2/33) assuming v is positive. v**(2507/2574) Simplify (v**(-22)*v)/v*(v/(v/(((v**(1/11)/v)/v)/v)*v*v*v)*v)/v*(v**(-2/47)/v)/(v/v**(-12/11)) assuming v is positive. v**(-1459/47) Simplify (h**(2/15)/h)**(-1/20)/(h**(1/8))**5 assuming h is positive. h**(-349/600) Simplify ((m/(m**2/m)*m*(m/(m*m*m**3*m))/m)/(m/(m*m**0*m))**37)**(-3/20) assuming m is positive. m**(-24/5) Simplify (u**5/(((u*((u*u**(1/6)*u)/u)/u)/u)/u*u)*(u**(5/3)*u*u)/u**(2/13))**29 assuming u is positive. u**(6293/26) Simplify (d/((d/d**(-6/13))/d*d)*(d**(2/11)/d)/d)/(d**(-2/49)*d*d**16/d) assuming d is positive. d**(-127800/7007) Simplify ((c/c**(1/5))/c**10)/(c*c/c**(1/4)*c**(-9)) assuming c is positive. c**(-39/20) Simplify (a**(-10)*a*(a*a*a/((a*(a*a*(a**43*a)/a)/a)/a)*a)/a*a)**(-18/5) assuming a is positive. a**(882/5) Simplify (x**5)**(2/9)/(x**(-24))**(-30) assuming x is positive. x**(-6470/9) Simplify ((g**(-4)/g**(-3))**(-17))**12 assuming g is positive. g**204 Simplify ((p**(-3/7)*p/(p**(-3/2)*p))**1)**(-10) assuming p is positive. p**(-75/7) Simplify (u/u**(-2))**(-18)/(u**(1/2)/(u*u**(1/24)*u)) assuming u is positive. u**(-1259/24) Simplify n*n/(n*n**16)*n/(n/n**(-1/6))*(n**(-11/5)/n)/(n*n/(n*n/(n**(-14)/n))) assuming n is positive. n**(-101/30) Simplify ((t**(-6)/t*t)/(t**(-9)*t))/(((t**3/t)/t)/t**(1/11)) assuming t is positive. t**(12/11) Simplify (i**(-1/13)*i**22)/(i**(-15/7)/(i/((i/(i/(i/(i*i/(i/(i**2/i))))))/i))) assuming i is positive. i**(2463/91) Simplify (x**(3/29))**8*x**7/(x/(x*((x**(-33)*x)/x)/x)) assuming x is positive. x**(-759/29) Simplify (l**(-2/7)/l*l**(-4))/(l*l**(-1)*(l/l**12)/l) assuming l is positive. l**(47/7) Simplify v**(2/51)*(v**12/v)/v*v**12*v*v**0/v assuming v is positive. v**(1124/51) Simplify g**11/(g**(-2/43)*g)*(g*g/(g/(g*g*g/(g**(-8)/g)))*g)/(g*g/(g*g/g**(-15))) assuming g is positive. g**(1679/43) Simplify (((z*z**(-1))**30)**(-14/11))**1 assuming z is positive. 1 Simplify (k**(-5/7))**(-14)/(k**(3/4)/(k/(k/((k/((k*(k**13/k*k)/k*k)/k*k*k))/k)))) assuming k is positive. k**(-23/4) Simplify ((s/(s**(-21)*s))/(s**(2/17)*s))/(s*s**(-1))**36 assuming s is positive. s**(338/17) Simplify ((l**21/l**(-24))**29)**30 assuming l is positive. l**39150 Simplify ((d**(2/11)/(d**(-2/17)/d))/(d**1*d**(-4)))**(2/79) assuming d is positive. d**(1608/14773) Simplify (z**(5/4))**(3/2)*z**(-3/11)/((z*z/z**(-2/9)*z)/z) assuming z is positive. z**(-491/792) Simplify (z/(z/z**(-29)))**(-24)/(z*z**(3/17)/z*z/(z**37/z)*z) assuming z is positive. z**(12407/17) Simplify p**(-8)*p/p**(6/19)*(p**7)**(2/45) assuming p is positive. p**(-5989/855) Simplify (i**(-3))**17/((((((i**5*i*i)/i)/i)/i)/i)/(i*i**(12/11))) assuming i is positive. i**(-571/11) Simplify ((((q**6/q)/q)/(q/((q/q**8)/q)*q))**43)**(-2/77) assuming q is positive. q**(516/77) Simplify x**(-1/14)*(x/x**(1/16))/x*(x**9/x*x)/(x*x*x**(-2/13)*x*x*x) assuming x is positive. x**(5853/1456) Simplify (a**(-12)/a**(-1/5))/(a**4)**(-1/9) assuming a is positive. a**(-511/45) Simplify (a**(-2/11)*a**(-4))/(a**(-2/13))**(-20) assuming a is positive. a**(-1038/143) Simplify (g*g/(g/g**(-2/11))*g**(-5/2))/(g**23/((g*g/g**(1/14)*g*g)/g)) assuming g is positive. g**(-1675/77) Simplify ((b/(b*b**(1/7)))**27/(b**(-1))**(-17))**49 assuming b is positive. b**(-1022) Simplify (p/((p/((((p*p/(p*(p*p**(-1/19))/p))/p)/p)/p))/p)*p)/p*p**3/p*(p**(19/5)*p)/(p*p/(p**(-5)/p)) assuming p is positive. p**(-204/95) Simplify ((x*x/x**(-6))/x)**(-2/7)*x**11/(x*(x*(x*((x*x*x**(-4)*x)/x)/x*x)/x)/x) assuming x is positive. x**10 Simplify k**(-3)*k/k**(-1/3)*(k**(-1/2))**(2/73) assuming k is positive. k**(-368/219) Simplify w**6*w**(-28)*w*w**(7/4)*w/((w**(-10)*w)/w*w) assuming w is positive. w**(-37/4) Simplify (((i*i**(-2/7)/i*i)/((i/(i**(-5)*i))/i))**(-2))**(22/7) assuming i is positive. i**(1012/49) Simplify j**(-1/8)*j**3*j**(-9)*j*j**(-2) assuming j is positive. j**(-57/8) Simplify q**17/(q*q**10*q)*(q*q**8)/q*q*q**24 assuming q is positive. q**38 Simplify ((y*y**(2/7))**31*y**(-6)/(((y**(2/27)/y)/y)/y))**(-2) assuming y is positive. y**(-13904/189) Simplify g**(-6)*(g**(8/5)*g)/g*g*(g/(g/g**(-2/5)))/(g**(2/7)/g) assuming g is positive. g**(-108/35) Simplify (b**(-2/39))**48*b**(-17)*b**26*b assuming b is positive. b**(98/13) Simplify (r**8/(r/r**(1/9))*r*r**(2/7)*r**(-5)/r)**(1/30) assuming r is positive. r**(151/1890) Simplify (((k*k/k**(1/3))/(k*k/(k*k/(k
{ "pile_set_name": "DM Mathematics" }
1/10 and 2/7 + 282/y. 10 Let j = 6 + 11. Suppose 4*p - 27 = j. Suppose 3*v + 3*r - 2*r - 23 = 0, -v - 2*r + 11 = 0. Calculate the smallest common multiple of v and p. 77 Let y be (-9)/(-6)*1*2. Calculate the common denominator of 19*2/((-36)/(-1)) and 226/24 + y/(-9). 36 Let d = 0 + 3. Let f be -2*d/(30/11069). Let a = f + 2205. Calculate the common denominator of a and -49/8. 40 Let o = 3471314/1258065 - -1/93190. What is the common denominator of -55/12 and o? 108 Let k = 1224 + -8606/7. Find the common denominator of k and 6/4*(16 + (-3 - -6)). 14 Let d = -472 - -677. Let i = d - 593/3. What is the common denominator of i and 52/5? 15 Let j = 2 + 1. Suppose z - 29 = -3*g, j*z - 3 - 12 = 0. What is the smallest common multiple of g and 8? 8 Suppose -32 = 2*k + 18. What is the common denominator of -83/10 and 1/4 + k/6? 60 Suppose 12 = -p + 3*h, 2*p + 27 - 9 = 3*h. Calculate the smallest common multiple of (-38)/(-4) - (-3)/p and 4. 36 Let l(n) = n**2 + 12. Let h be l(0). Calculate the common denominator of -29/2 and (213/(-8))/((-9)/h). 2 Suppose -30 = -3*r - 3*a, 5*r - 18 = 7*a - 4*a. Calculate the least common multiple of 16 and r. 48 Suppose 2*o + 102 = 2*k, -5*k - o - 2*o = -215. Let l = -9427/205 + k. Let b = 5559/1640 - l. Calculate the common denominator of b and 41/16. 16 Suppose 0 = 9*j - 13 - 14. Calculate the lowest common multiple of 24 and j. 24 Let r(w) = -w**2 - 2*w + 14. Suppose -1 - 15 = -2*d + 2*o, 0 = -5*d + 4*o + 37. Calculate the lowest common multiple of r(-4) and d. 30 Suppose -3*j - h - 13 = 2*j, -20 = 4*j + 4*h. Calculate the common denominator of -49/10 and j/((2 - 2) + -4). 10 Suppose 0 = -n - 3*p - p - 418, 2*p - 1296 = 3*n. Let f = 5955/14 + n. Calculate the common denominator of f and 7/8. 56 Suppose -3*z + 4*z - 8 = 0. Let x(p) = -p**2 + 7*p + 9. Let d be x(z). Let q = 7 + d. Calculate the smallest common multiple of q and 16. 16 Let l(k) = k**2 + 2*k - 7. Suppose -2*b - 2*b = 20. Let t be l(b). What is the lowest common multiple of (-18)/t*(-48)/18 and 6? 6 Calculate the common denominator of (-1248)/60*(0 - 3)/12 and (-57)/7 + 1 + 1. 35 Calculate the common denominator of 127/6 and (-5)/20*-15 + -1. 12 Let l be 2*20 + -1 - 2. Suppose 5*k + 1 + 1 = 3*b, -3*b = 2*k - l. Suppose -2*p = -3*m + 33, -p - 11 = -m - 2*p. What is the lowest common multiple of b and m? 99 Suppose -5*d = 0, 2*t - 5*d + 0*d - 10 = 0. Suppose m - 16 = -4*m - 3*x, 2*x - 2 = m. What is the smallest common multiple of m and 3 + -1 + -1 + t? 6 What is the common denominator of (-682)/2044 + 4 + 130/(-35) and 119/18? 1314 Suppose -z + 11 = 2. Let o(k) = -k + 13. Let w be o(z). Suppose 0 = -3*y + w*y - 14. What is the lowest common multiple of y and 4? 28 Let l = -18871 + 415241/22. Calculate the common denominator of l and -131/6. 66 Let f(v) = -v**3 + 21*v**2 - 38*v + 12. What is the least common multiple of f(19) and 50? 300 Let l(z) = 5*z**2 + 2*z - 1. Calculate the smallest common multiple of l(1) and 9. 18 Calculate the common denominator of 42/16*(19/15 + 1) and 133/6. 60 Let k = 7 - 4. Suppose -26*z = -31*z + 55. What is the least common multiple of k and z? 33 Let f = 3 - -13. Calculate the smallest common multiple of 4 and f. 16 Let h(t) = t**2 + 12*t - 21. Let i be h(-10). Suppose -2*g + 81 = -5*g. Let f = g - i. Calculate the smallest common multiple of 10 and f. 70 Let r = -26 + 12. Let f = r + 20. Calculate the common denominator of 68/(-8)*f/8 and 95/16. 16 Let o = 8 + -25. Find the common denominator of 320/50 - 7 - 502/(-20) and o. 2 Let a = -6814 - -122515/18. What is the common denominator of -3*(3 - 63/(-6)) and a? 18 Let q be 258/195 - (3 + -1). Let f = 3763/1430 + q. Find the common denominator of 103/6 and f. 66 Let q = -433/414 + 86/207. Calculate the common denominator of q and 121/10. 230 Find the common denominator of -2*((-486)/(-32))/3 and 86/20 - 2/(-5). 40 Suppose 0*t = -3*t + 9. What is the smallest common multiple of 8 and 10 - (t - (-1 + 1))? 56 Suppose -5*o = -122 + 37. Let i = o + -6. What is the lowest common multiple of 11 and i? 11 Let w = 45 + 1. Find the common denominator of -67/46 and w. 46 Find the common denominator of (-165)/48 + 3/(-2) and 103/20. 80 Calculate the common denominator of 1210/100 + 3/(-5) and -53/9. 18 Suppose -2*f - 3 = f. Let q be (-6)/15 + (-387)/(-5). Find the common denominator of -19/16 and f/3 + q/24. 16 Calculate the common denominator of (-1)/(-6) + 276/(-9) and -16/3. 6 Calculate the smallest common multiple of 2 and (-1)/6 - 165/(-18). 18 What is the lowest common multiple of 2 and (-2 + 1)*-21 + -3? 18 Suppose 3*i = 38 + 4. What is the least common multiple of i and 39/4 + 12/(-16) - -5? 14 Suppose -9*j + 882 = -234. What is the lowest common multiple of j and 8? 248 Let u be ((-29)/2)/(6/(-12)). Let v = 33 - u. Let z = -1 - -5. What is the lowest common multiple of v and z? 4 Calculate the common denominator of (-706)/80 - 4/5 and 89/14. 56 Let t = 170/7 + -181/7. Calculate the common denominator of (-3)/5 - (-176)/(-15) and t. 21 Let d(y) = -3*y**3 - y**2 - y - 1. Let s = 8 + -9. Let a be d(s). Calculate the common denominator of 93/a*(-5)/(-60) and -49/16. 16 Find the common denominator of -93/2 and -3 + 1 - (-97)/(-2). 2 Let o(n) = 2*n**2 + 2. Let y = 36 + -14. Calculate the lowest common multiple of y and o(-2). 110 Suppose 4*p = 49 + 63. Suppose 5*n - 5*d = 71 - 11, -d = 3*n - p. What is the least common multiple of n and 2? 10 Let t = 139343/12 + -11601. Let g = -21/4 - -139/12. Find the common denominator of g and t. 12 Suppose -3*n - 4*h + 1 = 0, 3*h - 2*h = -3*n + 7. Suppose -2*y = n*y + 5*s - 60, -34 = -4*y + 3*s. What is the least common multiple of y and 11? 110 Let x = -11948 - -119377/10. What is the common denominator of (-3)/(-4)*390/27 and x? 30 Let v = -10 - -10. Suppose -4*r + 5*f = 15, -4*r + 2*f = -v*f + 30. Calculate the least common multiple of 68/20 + 4/r and 4. 12 Let b = 130 + -1765/14. What is the common denominator of b and -127/6? 42 Let j = -91 - -93. Calculate the least common multiple of 16 and j. 16 Let v(h) = 2*h**2 + 2*h - 3. Let w be v(3). Suppose 1 = -5*r + w. What is the lowest common multiple of r and 9? 36 Let a be -6810 + 1 - (-1 - 3). Let s = 81761/12 + a. Calculate the common denominator of s and -19/2. 12 Let t = -2659/4 - -661. What is the common denominator of -91/6 and t? 12 Let v = 583 - 5234/9. Let t be (0 - 2) + (-12)/3. Find the common denominator of t/21*(-159)/(-6) and v. 63 Suppose 8*g - 5*g - 9 = 0. Suppose -l + 32 = 5*u - 4*l, 0 = g*u + 3*l. Suppose 0 = j - 3*j + 24. Calculate the lowest common multiple of j and u. 12 Calculate the common denominator of -19/11 and 27/(-36) + (-55)/(-12) + 0. 66 Let v(q) = 13*q**3 + q. Let b = -12 - -32. What is the least common multiple of b and v(1)? 140 Let j(w) be the second derivative of -w**4/12 + w**3/6 + 3*w**2 + w. Let t = 56 + -45. Calculate the smallest common multiple of j(0) and t. 66 What is the smallest common multiple of 11 and (-7 + 4)/(3/(-4))? 44 Suppose 0 = -2*d + 4*t - 24, 5*d + 0 + 15 = t. Let l be (-257993)/(-60) - d/(-3). Let w = -12914/3 + l. Calculate the common denominator of w and -63/16. 80 Suppose -5*u + 2*u = 2*d - 7, 4*d = u - 7. Suppose -24 = -u*r + 30. What is the lowest common multiple of r and 12? 36 Let l = 624/43 - 923649/63640. Let j = 42893/13320 - l. Calculate the common denominator of 38 and j. 9 Let c = -3 + 5. Let y be -2 + 2 + c - -4. Calculate the common denominator of ((-1)/(-6))/(y/513) and 47/9. 36 Suppose 0 = 2*p - 5*p + 54. What is the smallest common multiple of 33 and p? 198 Let v(q) = q - 10. Calculate the least common multiple of 33 and v(11). 33 Suppose 0 = 8*s - 447 - 161. Calculate the least common multiple of 8 and s. 152 Let h(k) = k**3 - 3*k**2 - 2*k + 4. Let w be h(3). Find the common denominator of 0 - w*85/12 and (-2)/(-3) + 494/(-12). 6 Suppose 0 = 4*y + 4 - 0. Suppose -6 = -3*o + 3. Find the common denominator of -15/7 and y*o/12*-1. 28 What is the common denominator of -7/24 and 2/48*8*298/16? 24 Let n = -22162345025004863 + 73069252268830783573/3297. Let v = -218801871 + n. Let s = v - -8/471. Calculate the common denominator of 93/10 and s. 70 Suppose 7 = -4*g - 2*d + 21, -2*g = -3*d + 5. Suppose 13 = -5*i - 2,
{ "pile_set_name": "DM Mathematics" }
91*t**2 - 3*t - 1. What is f(-1)? -89 Let k(i) = i**2 - 11*i + 8. Calculate k(7). -20 Let d(o) = 7*o + 55. Determine d(-7). 6 Let p(s) = -169*s + 6. Give p(-1). 175 Let u(o) = -o**3 + 10*o**2 - 19*o + 3. What is u(3)? 9 Let m(b) = -b**3 - 9*b**2 - 10*b - 1. Calculate m(-8). 15 Let x(y) = 2*y**3 + 2*y**2 + 2*y - 2. What is x(-2)? -14 Let r(j) = -10*j - 2. Calculate r(2). -22 Let k(y) = -y**3 + 12*y**2 - 19*y - 3. Give k(10). 7 Let c(o) = -o**3 - 6*o**2 - 4*o + 7. Give c(-5). 2 Let c(v) = v**2 - 3*v - 4. Determine c(3). -4 Let b(x) = -13*x + 30. What is b(2)? 4 Let n(a) = 7*a + 2. Calculate n(-6). -40 Let v(l) = -l**3 + 4*l**2 + 13*l - 8. Determine v(6). -2 Let s(v) = 11*v + 164. Determine s(-15). -1 Let q(c) = 3*c**2 + 60*c - 61. Determine q(-21). 2 Let r(q) = q**2 - 8*q - 6. Determine r(8). -6 Let h(m) = m + 68. Give h(-14). 54 Let g(p) = -85*p**2 + 2. What is g(1)? -83 Let z(q) = -q**2 + 4*q + 13. Give z(7). -8 Let s(r) = -r**3 + 6*r**2 - 4*r + 12. What is s(7)? -65 Let h(t) = -3*t + 11. Give h(0). 11 Let g(i) = 8*i - 8. Give g(-5). -48 Let v(f) = -6*f + 15. Give v(6). -21 Let t(v) = -v**2 - 30*v - 3. Determine t(0). -3 Let i(d) = d**2 - 19*d - 20. Determine i(21). 22 Let q(s) = s**3 + 8*s**2 - 4*s - 20. What is q(-8)? 12 Let k(z) = z**3 - 24*z**2 - 22*z - 44. What is k(25)? 31 Let d(f) = -47*f**3 - f**2 - 3*f - 2. What is d(-1)? 47 Let d(q) = 3*q**2 + 3*q. Determine d(-2). 6 Let g(s) = 10*s**2 + 15*s - 15. What is g(1)? 10 Let p(n) = -n**3 - 6*n**2 + 11*n + 4. Give p(-5). -76 Let y(m) = -m**2 + 24*m + 18. Give y(25). -7 Let s(y) = y**2 - 16*y - 128. What is s(22)? 4 Let n(l) = -l**3 + 18*l**2 + 20*l + 14. What is n(19)? 33 Let w(n) = n**3 - 12*n**2 + 4*n - 25. Give w(12). 23 Let t(c) = 4*c**2 - 5*c + 3. What is t(3)? 24 Let p(u) = 16*u**2 - 99*u + 17. Determine p(6). -1 Let d(w) = -w**3 - 24*w**2 + 22*w - 72. Give d(-25). 3 Let k(f) = 2*f**3 + 32*f**2 - 37*f - 41. Give k(-17). 10 Let s(c) = -c**2 - 6. Calculate s(0). -6 Let b(y) = -2*y + 17. What is b(7)? 3 Let p(z) = z. Calculate p(-4). -4 Let a(i) = i**2 + 29*i + 192. Determine a(-19). 2 Let q(h) = 19*h**2 - 1. Calculate q(2). 75 Let h(y) = -y**2 - 8*y + 26. Determine h(-10). 6 Let q(h) = h**3 - 4*h**2 + 5*h - 7. Determine q(4). 13 Let x(t) = 14*t + 103. Determine x(-7). 5 Let c(a) = a**2 - 7*a + 5. Determine c(5). -5 Let g(d) = -5*d + 40. Calculate g(7). 5 Let l(q) = 3*q**3 - 43*q**2 + 16*q - 29. Determine l(14). -1 Let y(n) = -8*n - 9. What is y(2)? -25 Let x(n) = -2*n + 10. What is x(0)? 10 Let s(l) = -l**3 - 8*l**2 - 10*l - 4. What is s(-5)? -29 Let d(m) = m**3 + 17*m**2 + 36*m + 22. Determine d(-15). -68 Let n(m) = -m**2 - 11*m + 3. Give n(-6). 33 Let g(t) = t**2 + 28*t - 206. Give g(6). -2 Let d(m) = -44*m + 13. Give d(1). -31 Let b(x) = -14*x + 154. What is b(11)? 0 Let u(f) = 12*f**3 + f**2 - 7*f - 9. Calculate u(-1). -13 Let b(l) = 9*l**3 + l**2 + l - 2. Calculate b(1). 9 Let c(u) = -u**2 + 8*u - 11. What is c(7)? -4 Let g(o) = -9*o - 96. Calculate g(-10). -6 Let b(g) = -5*g**2 - 2*g - 1. Determine b(-3). -40 Let k(b) = b**2 - 4. Give k(7). 45 Let h(l) = 10*l - 172. Calculate h(14). -32 Let k(v) = -v**2 - 10*v + 13. What is k(2)? -11 Let a(m) = 2*m**3 - 4*m**2 + 6. What is a(-2)? -26 Let h(f) = -f**2 + 7*f + 65. What is h(13)? -13 Let z(g) = g**3 + 21*g**2 - 47*g - 30. Give z(-23). -7 Let i(r) = -26*r**3 + r**2 - 1. Give i(1). -26 Let i(m) = -m - 4. What is i(4)? -8 Let d(m) = -17*m**3 - 2*m**2 + 4*m + 6. Calculate d(-1). 17 Let v(r) = -55*r + 9. Determine v(-1). 64 Let b(n) = -n**2 - 16*n + 84. Determine b(4). 4 Let k(i) = 156*i + 1247. Calculate k(-8). -1 Let i(k) = k**3 + 2*k**2 - 7*k - 21. Calculate i(-3). -9 Let p(o) = o**3 - 10*o**2 - 4*o + 45. What is p(10)? 5 Let d(i) = -26*i + 413. Calculate d(16). -3 Let u(f) = -f**2 + 14*f - 15. What is u(13)? -2 Let d(w) = -2*w**2 - 20*w + 15. What is d(-10)? 15 Let w(b) = -b**3 - 6*b**2 - 3*b + 13. Give w(-4). -7 Let r(g) = -g**3 + 4*g**2 - 4*g + 9. What is r(4)? -7 Let b(s) = 2*s**2 - 47*s + 19. Calculate b(23). -4 Let s(z) = -z**2 + 4*z + 5. Give s(6). -7 Let z(q) = 23*q + 75. What is z(-9)? -132 Let a(y) = 13*y**2 + 2*y - 2. Calculate a(2). 54 Let c(n) = -n**3 - 10*n**2 + 14*n + 5. Calculate c(-11). -28 Let k(r) = 75*r + 2. Give k(1). 77 Let v(q) = -39*q**2 - q. What is v(-1)? -38 Let i(l) = 2*l**2 + 2*l - 2. Calculate i(0). -2 Let r(i) = 2*i**3 - 16*i**2 - 3*i + 10. Determine r(7). -109 Let w(x) = x**3 - 4*x**2 - 19*x - 11. Determine w(7). 3 Let z(t) = 12*t + 99. Give z(-7). 15 Let z(y) = y**3 - 5*y**2 + 2*y + 1. Give z(4). -7 Let w(f) = -5*f + 5. Determine w(-2). 15 Let q(r) = -3*r**3 - 4*r**2 - 3*r - 2. What is q(-2)? 12 Let q(i) = 13*i + 149. What is q(-12)? -7 Let m(y) = y**2 - 7*y + 7. Calculate m(7). 7 Let c(t) = t**2 - 6*t - 12. Determine c(9). 15 Let r(g) = 49*g - 782. What is r(16)? 2 Let j(q) = 6*q - 3. Give j(9). 51 Let a(u) = -u**2 + u + 60. Determine a(0). 60 Let a(x) = -7*x**2 + 9*x + 16. Calculate a(-2). -30 Let y(h) = h**3 - 7*h**2 + 11*h + 3. What is y(6)? 33 Let k(n) = -2*n + 42. Calculate k(22). -2 Let r(i) = i**3 + 2*i**2 - 2*i + 1. Give r(-3). -2 Let q(l) = -l**2 + 6*l + 6. Determine q(7). -1 Let m(q) = q**2 + 15*q + 15. Determine m(-11). -29 Let u(q) = q**2 - 5*q - 3. Determine u(6). 3 Let i(p) = p**2 - 23*p + 1. Determine i(24). 25 Let c(y) = -10*y**2 + 3*y - 3. What is c(2)? -37 Let r(a) = 5*a - 114. What is r(22)? -4 Let x(h) = 58*h + 1394. Calculate x(-24). 2 Let c(t) = -t**3 + 11*t**2 - 16*t + 3. Calculate c(9). 21 Let h(c) = -7*c - 13. Give h(-3). 8 Let v(r) = -4*r + 8. Give v(-6). 32 Let p(v) = -12*v - 1. Determine p(4). -49 Let r(q) = -q**3 + 13*q**2 + 14*q + 11. What is r(14)? 11 Let n(h) = -2*h**2 + 16*h - 17. Determine n(10). -57 Let q(z) = z**3 - 28*z**2 - 93*z + 2. Calculate q(31). 2 Let v(q) = q**3 + 4*q**2 + 2*q - 2. Determine v(-3). 1 Let d(a) = -a**2 - 6*a + 1. Give d(-6). 1 Let z(a) = a**2 + 7*a + 6. Calculate z(-1). 0 Let b(a) = 11*a + 82. What is b(-7)? 5 Let k(w) = -2*w**3 - 20*w**2 - 50*w - 6. What is k(-6)? 6 Let f(p) = 17*p**2 - 6*p - 4. Give f(-2). 76 Let q(u) = u**2 + 3*u + 1. Give q(3). 19 Let q(b) = -b**2 - 12*b - 15. Calculate q(-12). -15 Let t(m) = m**3 - 8*m**2 - 18*m - 18. Give t(10). 2 Let y(v) = -v**3 - 14*v**2 + 12*v - 10. Calculate y(-15). 35 Let n(y) = y**3 - 17*y**2 + 11*y + 72. What is n(16)? -8 Let o(s) = -2*s**2 - 8*s. Calculate o(-4). 0 Let p(x) = x**3 - 9*x**2 - 14*x + 32. Calculate p(10). -8 Let q(p) = p**3 - 6*p**2 - 11*p - 11. What is q(8)? 29 Let p(o) = -o - 30. What is p(-16)? -14 Let j(l) = l**2 - 15*l + 39. What is j(16)? 55 Let f(a) = -a**3 + 24*a**2 - 44*a + 19. Give f(22). 19 Let g(p) = p**3 - 29*p**2 - 2*p + 77. Determine g(29). 19 Let k(a) = -a**2 + 3*a + 12. Determine k(6). -6 Let q(a) = -a**2 - 16*a + 40. What is q(-18)? 4 Let q(o) = -10*o**2 + 11*o + 4. Determine q(-3). -119 Let j(k) = 15*k**2 + 126*k - 3. What is j(-8)? -51 Let p(l) = -l**3 + 16*l**2 + 19*l - 11. Calculate p(17). 23 Let x(m) = -2*m**2 + 46*m + 45. What is x(23)? 45 Let a(c) = c**3 + 5*c**2 - 8*c - 5. Give a(-6). 7 Let j(y) = 3*y**2 - 8*y + 10. Determine j(4). 26 Let p(d) = d**3 - 10*d**2 + 10*d - 6. Calculate p(9). 3 Let i(b) = -3*b + 51. Give i(16). 3 Let l(y) = -60*y - 482. Calculate l(-8). -2 Let l(y) = 3*y + 35. Give l(-13). -4 Let s(p) = -11*p + 60. Give s(6). -6 Let u(b) = -2*b**2 + 17*b - 17. Calculate u(11). -72 Let v(j) = 2*j**2 - 6*j + 3. What is v(4)? 11 Let t(j) = -4*j - 9. What is t(3)? -21 Let l(d) = -d**2 - 3*d + 1. Determine l(3). -17 Let r(w) = -w**3 - 2*w + 3. What is r(1)? 0 Let q(y) = -y**2 - 12*y - 7. Give q(-10). 13 Let j(r) = r**2 + 20*r + 1. Give j(-13). -90 Let j(b) = -b**2 + 3*b. Calculate j(4). -4 Let h(t) = t**3 + 15*t**2 + 10*t - 47. Give h(-14). 9 Let g(x) = -x + 19. Determine g(9). 10 Let k(q) = -16*q - 10. Give k(-5). 70 Let q(r) = r**3 - 11*r**2 + 22*r + 8. Give q(6). -40 Let w(r) = r**2 + 17*r + 44. Give w(-14). 2 Let t(v) = -5*v**2 - 7*v + 7. Calculate t(1). -5 Let y(i) = 15*i - 1. Determine y(-1). -16 Let v(d) = -d**3 - 5*d**2 - 7*d - 1. Give v(-6). 77 Let l(w) = w**2 - 6*w + 9. What is l(5)? 4 Let b(c) = c**2 + c - 4. Calculate b(-4). 8 Let x(b) = -b + 39. Give x(17). 22 Let q(d) = -9*d - 38. What is q(-6)? 16 Let m(c) = -4*c**3 + 2*c**2 + 2*c
{ "pile_set_name": "DM Mathematics" }
u**2 - 8*u**5 + 10*u**2 + 6*u**x wrt u. -120*u**2 Let k(u) = u**3 - 4*u**2 + 2*u + 3. Let t be k(3). Suppose t = -3*w + 1 + 5. Find the third derivative of -3*j**6 - j**2 - 4*j**w + 3*j**2 wrt j. -360*j**3 Let i(z) = z. Let k(n) = -4*n - 1. Let b(l) = 6*i(l) + 2*k(l). Let s be b(-4). Find the third derivative of -5*o**6 - o**6 + 2*o**2 + 4*o**s wrt o. -240*o**3 Let g be 12/54 + (-34)/(-9). What is the derivative of -g + 0*a + 4*a + 6 wrt a? 4 Let y = -4 + 8. Find the first derivative of y*g**2 - 3*g**2 - 2*g**2 + 1 wrt g. -2*g What is the third derivative of 2*q**2 - 24*q**2 + 186*q**4 - 178*q**4 wrt q? 192*q Let d(y) be the first derivative of y**5/5 - 5*y**3/3 - 1. Let v(l) = 2*l**2. Let s(n) = -3*d(n) - 8*v(n). Find the third derivative of s(f) wrt f. -72*f Let o(s) = -18*s**3 - 6*s**2 + 3*s - 12. Let a(h) = -109*h**3 - 34*h**2 + 17*h - 73. Let l(w) = -6*a(w) + 34*o(w). Differentiate l(v) with respect to v. 126*v**2 Find the first derivative of -4 - 4*o**3 - 3 - 2*o**3 wrt o. -18*o**2 Let a = 5 + -1. Find the second derivative of 3*o**a - o**2 - o - 2*o + o**2 wrt o. 36*o**2 Let u(n) be the first derivative of 5*n**8/336 + n**4/24 + 3*n**2/2 - 5. Let b(v) be the second derivative of u(v). Find the second derivative of b(j) wrt j. 100*j**3 Let u(p) be the third derivative of -p**6/20 - p**4/4 - 4*p**2. Find the second derivative of u(v) wrt v. -36*v Find the third derivative of -3*h**6 + 3*h**6 - 7*h**2 - 2*h**6 wrt h. -240*h**3 Let n(k) be the first derivative of -2*k**4 + 6*k**2 - 10. What is the second derivative of n(f) wrt f? -48*f Let d = -9 + 4. Let q be 2/(-5) + (-12)/d. Find the second derivative of l - l**q - l + 4*l + 4*l**2 wrt l. 6 Suppose 3*q + 2*q = 25. Find the second derivative of -4*m + 6*m**q - 7*m**5 + m**5 + 10*m**5 wrt m. 200*m**3 Suppose 3*t - 29 = 2*g, 3*g - 4*g = -2*t + 18. What is the third derivative of 3*j**2 + 6*j**6 + 0*j**2 - t*j**6 wrt j? -120*j**3 Let h be (-34)/6 - (-2)/(-6). Let x be 0*3/h - -1. Differentiate 3 - 6 - 2*y**3 + x with respect to y. -6*y**2 Differentiate -15 - 48*s**2 - 44*s**2 - 8*s**4 + 92*s**2 wrt s. -32*s**3 Let r = -4 - -10. Suppose -i - 2 = -r. Differentiate 3*b**4 - 2 - 2*b**4 + b**i wrt b. 8*b**3 Let l = 29 + -23. Let b(x) be the third derivative of 0*x + 0*x**3 - x**2 - 1/12*x**4 + 0*x**5 + 1/120*x**l + 0. What is the second derivative of b(a) wrt a? 6*a Let c be ((-15)/6)/(-5)*0. Let q(n) be the second derivative of c + 0*n**4 - 1/6*n**3 - 1/5*n**5 + 0*n**2 - 3*n. Find the second derivative of q(a) wrt a. -24*a Let q(n) = 8*n**4 - 2*n**3 - 2*n**2 - 2. Let t(l) = -9*l**4 + 3*l**3 + 3*l**2 + 1. Let r(p) = 3*q(p) + 2*t(p). What is the first derivative of r(m) wrt m? 24*m**3 Let x(m) be the third derivative of m**6/24 - m**3/2 - 5*m**2. What is the first derivative of x(c) wrt c? 15*c**2 Let p be (-3)/3*1*-7. Let x = -7 + p. Find the second derivative of 15 + x*c**2 + 3*c - 15 - 3*c**2 wrt c. -6 Let y = -3 - -5. Let u(o) = -2*o + 1. Suppose -5 = -4*q + 3*q. Let d(l) = 3*l - 3. Let x(c) = q*u(c) + y*d(c). Find the first derivative of x(m) wrt m. -4 Let s(g) be the first derivative of 6*g**2 - g - 49. Differentiate s(a) with respect to a. 12 Let f = 8 + 8. Suppose -a + f = 3*a. What is the third derivative of 9*u**4 - 10*u**a + u**2 - 3*u**2 wrt u? -24*u Let t(q) be the third derivative of -q**5/5 - 5*q**4/6 - 3*q**2. What is the second derivative of t(g) wrt g? -24 Let i(a) = a**4 + a**3 + a + 1. Let z(k) = -k**5 - 3*k**4 - 10*k**3 - 2*k**2 + 35*k - 3. Let w(r) = 3*i(r) + z(r). Find the third derivative of w(n) wrt n. -60*n**2 - 42 Suppose -9 = -3*j - 0. Differentiate -j*l + 0*l - 3 - l with respect to l. -4 What is the derivative of -37 + 1194*i**3 + 36*i**4 - 1194*i**3 wrt i? 144*i**3 Let x(f) = 3*f**3 + 3 - 6*f**3 - 2*f - 1 + 2*f**2. Let t(u) = -12*u**3 + 8*u**2 - 9*u + 9. Let b(i) = 2*t(i) - 9*x(i). Find the third derivative of b(n) wrt n. 18 Let y(x) = x**4 + x**3 - x**2 + 1. Let d(v) = -6*v**4 - 2*v**3 + 2*v**2 - v - 2. Let m(f) = d(f) + 2*y(f). Find the second derivative of m(h) wrt h. -48*h**2 Let l(h) be the first derivative of -2*h**3/3 - 13*h**2/2 + 5. Let a(y) = 3*y**2 + 14*y. Let r(t) = -6*a(t) - 7*l(t). Find the second derivative of r(j) wrt j. -8 Let q be -5 + 4 - 0/1. Let w(p) = 5*p**3 + 3*p**2 + p. Let b(z) = z**3 - z**2 + z. Let f(a) = q*w(a) + b(a). What is the third derivative of f(u) wrt u? -24 Let r(t) be the first derivative of 8*t**4 + 49*t**3/3 - 6. Find the third derivative of r(o) wrt o. 192 Suppose 4*r - a = 21 - 4, r = -4*a + 17. Suppose 4*p + 8 = 0, 3*c + c - 18 = r*p. What is the second derivative of -3*u + 0 + c*u - 3*u**3 + 0 wrt u? -18*u Let j(y) be the third derivative of 3*y**6/8 + y**3/3 - 7*y**2. What is the derivative of j(w) wrt w? 135*w**2 Let i = -4 + 7. Let q = 2 + 1. What is the derivative of -8*h + 1 + q*h + i*h wrt h? -2 Let k(s) = s + 13. Let y be k(-11). What is the first derivative of 3*a**2 - 2*a**2 - 2*a**2 - 4 + 3*a**y wrt a? 4*a Let g(y) be the third derivative of -6*y**7/35 + y**6/60 + y**5/30 - y**4/8 - 2*y**2 - 9. What is the third derivative of g(r) wrt r? -864*r + 12 What is the third derivative of -17*w**6 - 2*w**2 - 3*w**2 - 2*w**2 + 22*w**6 wrt w? 600*w**3 Let a(s) = 28*s**4 + 3*s**3 - 15*s**2. Let d(o) = 28*o**4 + 4*o**3 - 14*o**2. Let h(c) = 4*a(c) - 3*d(c). Find the third derivative of h(p) wrt p. 672*p Let l(j) be the first derivative of j**6/3 + j**3/3 + 7. Find the third derivative of l(h) wrt h. 120*h**2 Let f(z) be the first derivative of -3*z**7/7 + 4*z**6/3 - 2*z**3/3 + 3*z - 9. Find the third derivative of f(x) wrt x. -360*x**3 + 480*x**2 Let p = -8 + 13. Suppose p*c + 2*b = 0, -3*c + 2*b - 14 = 6*b. Find the third derivative of -2*i**2 + 3 - 3 - c*i**5 wrt i. -120*i**2 Let j be -1*0/2 + -2. Let i be (2/(-3))/(j/6). Find the third derivative of 3*p**6 + 2*p**4 + 3*p**2 - i*p**4 wrt p. 360*p**3 Let u(f) be the first derivative of 0*f**5 + 0*f**4 - 4 + 0*f**2 + 1/2*f**6 + 0*f - 2/3*f**3. Find the third derivative of u(g) wrt g. 180*g**2 Let s(x) = -x**2 - x + 1. Let u(l) = -18 + 16 - 11*l**2 + 10 - 10*l. Let v(o) = 24*s(o) - 3*u(o). Find the second derivative of v(j) wrt j. 18 Let t(o) = o**2 - 13*o - 12. Let r be t(14). Let x(h) be the second derivative of -1/6*h**3 - 1/2*h**r - 2*h + 0. Differentiate x(i) with respect to i. -1 Let v(i) = 29*i**4 - 18*i**2 + 8. Let c(f) = 19*f**4 - 12*f**2 + 5. Let b(x) = 8*c(x) - 5*v(x). What is the third derivative of b(m) wrt m? 168*m Let j(q) = -8*q**5 - 3*q**4 + q**2 - 3. Let m(f) = 9*f**5 + 4*f**4 + 4. Let v(y) = 4*j(y) + 3*m(y). What is the third derivative of v(r) wrt r? -300*r**2 Let j(h) = -h**2 + h. Let l(w) = 11*w**4 - 21*w**2 - 6*w. Let p(t) = -6*j(t) - l(t). Find the third derivative of p(m) wrt m. -264*m Let b(m) be the second derivative of m**8/336 + m**5/30 - 7*m**2/2 + 6*m. Let j(l) be the first derivative of b(l). Find the third derivative of j(a) wrt a. 60*a**2 Suppose 0 = -5*x + 3*t + 43, x - 2*t - 18 = -x. What is the third derivative of x*h**2 + 7*h**4 - 6*h**5 - 14*h**4 + 7*h**4 wrt h? -360*h**2 Let o(x) = -x - 1. Let b be o(3). Let r(u) = 4*u**3 + 8. Let y(v) = 4*v**3 + 9. Let d(t) = b*r(t) + 3*y(t). What is the derivative of d(q) wrt q? -12*q**2 Suppose -o + 24 = 2*o - 3*q, 2*o - 11 = -3*q. Find the second derivative of -2*t**5 + 5*t**5 - o*t + 14*t + 2*t**5 wrt t. 100*t**3 Let k(x) be the first derivative of 5 - 5*x - 9/2*x**2. Differentiate k(f) wrt f. -9 Suppose 0 = 5*m - 15, 4*u + 4*m + 0*m = 20. Differentiate u - 4 + 4 - 3*n + 2*n wrt n. -1 Let y(r) be the third derivative of -1/35*r**7 - 1/12*r**4 + 3*r**2 + 0*r**6 + 0*r + 0 + 0*r**5 + 0*r**3. Find the second derivative of y(p) wrt p. -72*p**2 Let x(y) be the second derivative of y**8/2240 + y**7/2520 + y**4/6 - 2*y. Let g(k) be the third derivative of x(k). Find the third derivative of g(t) wrt t. 18 What is the third derivative of 8*g**6 - 5*g**2 - g**6 + 21*g**2 + 14*g**6 wrt g? 2520*g**3 Let a = 2 - -7. Suppose 22 = a*p - 4*p + o, -10 = -5*o. Find the third derivative of -q + q + 2*q**2 - q**p wrt q. -24*q What is the second derivative of 24*k - 4*k**2 + 3*k**2 - k**2 - 2*k**2 wrt k? -8 Let r(u) be the third derivative of u**8/840 - u**6/120 + u**3/6 + u**2. Let l(t) be the first derivative of r
{ "pile_set_name": "DM Mathematics" }
3 Solve 0 = -11*h - 105*h for h. 0 Solve 3 = 32*c - 35*c for c. -1 Solve 0 = 4*q - 17 + 29 for q. -3 Solve 8*b - 78 = -6 for b. 9 Solve 0 = 2*c - 4 + 8 for c. -2 Solve 14 = -109*g + 102*g for g. -2 Solve -421*f - 14 = -428*f for f. 2 Solve -1296*s + 1298*s = 4 for s. 2 Solve -12*w + 9*w = -15 for w. 5 Solve -32*w - 208 = -240 for w. 1 Solve 76*v = 83*v + 7 for v. -1 Solve 0 = 2*h + 25 - 29 for h. 2 Solve 333 - 88 = -35*f for f. -7 Solve 0 = 67*p - 11*p - 56 for p. 1 Solve -37 = -4*u - 57 for u. -5 Solve 0 = 76*y - 70*y - 18 for y. 3 Solve 576 - 591 = 5*l for l. -3 Solve 0 = -6*v + 17 + 7 for v. 4 Solve 49*p = 37*p - 96 for p. -8 Solve 14 = -275*z + 261*z for z. -1 Solve 3*t + 117 - 102 = 0 for t. -5 Solve 0 = 8*q - 41*q + 33 for q. 1 Solve -175*d - 7*d - 1638 = 0 for d. -9 Solve 0 = 3*j - 5*j - 4 for j. -2 Solve 19*g + 8 = 46 for g. 2 Solve -19*k + 105 - 181 = 0 for k. -4 Solve 209*s - 223*s + 42 = 0 for s. 3 Solve 0 = -2959*c + 2967*c + 16 for c. -2 Solve 14*q - 548 = -436 for q. 8 Solve 111 = 135*f - 24 for f. 1 Solve 7*c - 5 = 2 for c. 1 Solve 188*q + 25 = 183*q for q. -5 Solve 59*h + 42 = 66*h for h. 6 Solve -38*d = -22*d - 21*d for d. 0 Solve -6*p = -7 - 23 for p. 5 Solve -640*r + 631*r = 9 for r. -1 Solve 3*a - 7 - 2 = 0 for a. 3 Solve 3 + 2 = n for n. 5 Solve -4*o = 2*o - 24 for o. 4 Solve 0 = 14*c - 3*c for c. 0 Solve -12*x + 46 + 62 = 0 for x. 9 Solve 39*y - 277 + 316 = 0 for y. -1 Solve 26 = 145*y - 158*y for y. -2 Solve -2*u - 1820 = -1824 for u. 2 Solve 2*p - 78 = -86 for p. -4 Solve 53 + 17 = -14*h for h. -5 Solve -19 = -7*v - 47 for v. -4 Solve 8*p + 4*p - 36 = 0 for p. 3 Solve -16 = 9*u + 20 for u. -4 Solve -2*n - 73 = -65 for n. -4 Solve 0 = 25*m + 2*m - 54 for m. 2 Solve 0 = 38*h - 10*h + 84 for h. -3 Solve -28*f + 3 = -27*f for f. 3 Solve -10*r - 30*r = 80 for r. -2 Solve -23*l = -30*l - 35 for l. -5 Solve 2222 = 24*i + 2030 for i. 8 Solve 31*a + 45 + 79 = 0 for a. -4 Solve 8*r + 17 = 33 for r. 2 Solve -2*v + 5*v = -6 for v. -2 Solve -2*f = -4*f - 6 for f. -3 Solve -254*v = -253*v + 5 for v. -5 Solve -13*o + 8*o - 25 = 0 for o. -5 Solve -159*x = -162*x + 6 for x. 2 Solve 382*i = 365*i - 85 for i. -5 Solve 0 = 120*z - 149*z + 29 for z. 1 Solve 51*j + 378 = -3*j for j. -7 Solve 0 = 8*t + 3*t - 44 for t. 4 Solve 21*a - 9 - 75 = 0 for a. 4 Solve 18*g + 12 + 24 = 0 for g. -2 Solve -186 = -22*a - 32 for a. 7 Solve 22*h - 25 = 17*h for h. 5 Solve -4*s + 1 = -3 for s. 1 Solve 878*t - 901*t = 138 for t. -6 Solve 35*h + 172 = -108 for h. -8 Solve 5 = 8*l - 3 for l. 1 Solve -236 + 240 = -2*q for q. -2 Solve 18 - 16 = -2*m for m. -1 Solve 0 = -15*h + 9 - 39 for h. -2 Solve -42*p = -88 - 80 for p. 4 Solve 108 = 27*b - 54 for b. 6 Solve -24 = -5*a - 4 for a. 4 Solve -3*t = -11*t - 32 for t. -4 Solve 9*a = 3 - 12 for a. -1 Solve 20*l + 102 = 3*l for l. -6 Solve -7 = 11*u + 4 for u. -1 Solve 0 = -6*r + 5*r for r. 0 Solve 84 = -6*o + 27*o for o. 4 Solve -10*r - 119*r = 0 for r. 0 Solve -138 - 2 = 28*d for d. -5 Solve -l - 4 = l for l. -2 Solve -20*a + 28 - 128 = 0 for a. -5 Solve -2*w + 0*w = 3*w for w. 0 Solve 28*v - 25*v + 9 = 0 for v. -3 Solve -5*d = -31 + 6 for d. 5 Solve 5*i + 0*i = -10*i for i. 0 Solve -55*c = -61*c for c. 0 Solve -120 = -32*l - 8*l for l. 3 Solve 6*p = 8 - 2 for p. 1 Solve 928*z - 901*z = -54 for z. -2 Solve 202 = -3*t + 199 for t. -1 Solve -26*f + 0 = 52 for f. -2 Solve -326*g + 273*g = 159 for g. -3 Solve -10*o + 420 - 320 = 0 for o. 10 Solve -173*l + 175*l + 4 = 0 for l. -2 Solve -15*s + 123 = -27 for s. 10 Solve -38*b = -61*b for b. 0 Solve -892*w + 49 = -885*w for w. 7 Solve f - 149 = -144 for f. 5 Solve 9*o + 2 - 11 = 0 for o. 1 Solve -27*i - 4 = -25*i for i. -2 Solve 0 = 69*x - 66*x - 3 for x. 1 Solve -5*o + 0*o + 20 = 0 for o. 4 Solve -9*g = 8*g for g. 0 Solve 0 = 25*h - 213 - 37 for h. 10 Solve -190 = 58*y + 158 for y. -6 Solve -12*b + 15*b = 18 for b. 6 Solve 25*n - 4 = 21*n for n. 1 Solve -50*l = -54*l + 8 for l. 2 Solve -9 = 7*f - 23 for f. 2 Solve 0 = -8*t + 1070 - 1142 for t. -9 Solve 0 = 11*f - 45 + 1 for f. 4 Solve 1881 - 1885 = -k for k. 4 Solve 29*z + 56 = -31 for z. -3 Solve -9*a + 47 = 65 for a. -2 Solve 29*j + 2 = 27*j for j. -1 Solve 0 = 9*v + 31*v for v. 0 Solve -37 = 95*c - 892 for c. 9 Solve -16*v = 7*v - 92 for v. 4 Solve -22*x - 10*x + 192 = 0 for x. 6 Solve 4913 = 4*b + 4893 for b. 5 Solve -5*r = -86 + 111 for r. -5 Solve 12 = -16*q + 19*q for q. 4 Solve 6*u = 16*u - 11*u for u. 0 Solve 3 = 148*f - 145*f for f. 1 Solve 7*t + 7 = 14*t for t. 1 Solve 20 = -8*b + 4*b for b. -5 Solve -29*q + 46 = -70 for q. 4 Solve 4 = 2*l + 6 for l. -1 Solve -47*n = -16 - 266 for n. 6 Solve 0 = -925*c + 926*c + 6 for c. -6 Solve 0 = 17*a - 3*a + 70 for a. -5 Solve -t - 6*t = 7 for t. -1 Solve -2*t - 8 = 6*t for t. -1 Solve -5*f - 17 - 8 = 0 for f. -5 Solve 3*k = 3*k - 3*k for k. 0 Solve -76 = l + 18*l for l. -4 Solve 0 = 9*c - 6*c - 9 for c. 3 Solve 17*b = 3*b + 56 for b. 4 Solve 48*p + 7 = 55*p for p. 1 Solve 24*a - 22*a - 10 = 0 for a. 5 Solve 24*d + 65 = 11*d for d. -5 Solve 17*o - 41*o = -120 for o. 5 Solve -21*m + 36*m - 90 = 0 for m. 6 Solve 0 = -25*b + 192 - 142 for b. 2 Solve 637*x = 643*x - 30 for x. 5 Solve 0*t = -6*t - 18 for t. -3 Solve 0 = 8*n - 3*n - 15 for n. 3 Solve 3*i - 15 = -12 for i. 1 Solve -20 = -8*k - 84 for k. -8 Solve 286*v = 301*v + 60 for v. -4 Solve 11*r + 28*r = 8*r for r. 0 Solve -27*q - 90 = -9*q for q. -5 Solve 0 = 2*z - z - 2 for z. 2 Solve 0 = 22*d - 65*d for d. 0 Solve 5 = 5*c + 15 for c. -2 Solve -13 = 33*z - 20*z for z. -1 Solve 38*j = -30 + 68 for j. 1 Solve 0 = 4*g + 10 + 2 for g. -3 Solve 12 = -25*b + 29*b for b. 3 Solve 33 = -48*w - 159 for w. -4 Solve -12*u = 3*u - 90 for u. 6 Solve 0 = 33*m - 460 + 130 for m. 10 Solve -15*g - 14 = -g for g. -1 Solve 25 = 3*q + 2*q for q. 5 Solve -9 + 1 = 4*j for j. -2 Solve 0 = -2*o + 8*o + 36 for o. -6 Solve -10 = -3*v - 10 for v. 0 Solve 5*c = 35 - 30 for c. 1 Solve 22*y = 2*y + 100 for y. 5 Solve 0 = 36*u + 5*u - 41 for u. 1 Solve -34 = -3*a - 19 for a. 5 Solve -3*w + 2 + 10 = 0 for w. 4 Solve 7*p = -0*p for p. 0 Solve 14*t - 22 = 3*t for t. 2 Solve c + 10*c = -55 for c. -5 Solve -24*l + 25*l - 5 = 0 for l. 5 Solve 0 = 2*i + 18 - 12 for i. -3 Solve 12*o - 2*o + 40 = 0 for o. -4 Solve -9*t + 10 + 17 = 0 for t. 3 Solve 32*u - 344 = 75*u for u. -8 Solve 0 = 2*l + 5*l - 21 for l. 3 Solve -11*z + 4*z - 21 = 0 for z. -3 Solve -18*r = -9*r - 9 for r. 1 Solve -15*d + 21 = -9 for d. 2 Solve -7 = -2*i - 3 for i. 2 Solve -8*p - 21*p + 290 = 0 for p. 10 Solve -4*l + 6 = -2 for l. 2 Solve 4*i - 2 = 2*i for i. 1 Solve -3 = -4*n + 7*n for n. -1 Solve 8*r = 7*r for r. 0 Solve -9 + 13 = -w for w. -4 Solve 36*g - 33*g - 15 = 0 for g. 5 Solve -6*b + 4 = -7*b for b. -4 Solve -7*v - 3*v = -10 for v. 1 Solve -8*r - 10*r = 108 for r. -6 Solve 0 = 5*d - 7*d for d. 0 Solve -8*a + 8 = 24 for a. -2 Solve -13 = 52*j - 325 for j. 6 Solve -14911*j + 16 = -14903*j for j. 2 Solve 0 = 51*t - 46*t + 25 for t. -5 Solve -62*h + 72*h = -10 for h. -1 Solve 4*c = -32 + 16 for c. -4 Solve -131*h = -98*h - 198 for h. 6 Solve 3*j = -14 - 1 for j. -5 Solve 4*u + 4 = 3*u for u. -4 Solve -18*y = -36*y + 18 for y. 1 Solve l + 3 = 6 for l. 3 Solve 0*y = -8*y - 16 for y. -2 Solve 9*q - 7 = 8*q for q. 7 Solve 7*o - 475 = -475 for o. 0 Solve 41*k - 49*k - 40 = 0 for k. -5 Solve -296 + 350 = 9*c for c. 6 Solve 3973*r - 3974*r = 10 for r. -10 Solve 215 = 14*n + 313 for n. -7 Solve -4*v + 17 - 29 = 0 for v. -3 Solve -4*u + 5*u = 2*u for u. 0 Solve 0 = 11*c + 5*c - 16 for c. 1 Solve 297 = -119*w - 774 for w. -9 Solve -64 + 73 = -3*s for s. -3 Solve 46 - 100 = -9*w for w. 6 Solve 13 = 8*n - 19 for n. 4 Solve 51*q - 48*q = -24 for q. -8 Solve -41 + 6 = -7*z for z. 5 Solve -3*b + 56 = -17*b for b. -4 Solve 53*i - 56*i = 3 for i. -1 Solve -142 = -4*z - 158 for z. -4 Solve -30*w + 5 - 65 = 0 for w. -2 Solve -13*z = 6*z + 209 for z. -11 Solve 203*u = 217*u + 28 for u. -2 Solve 9*d = -9*d for d. 0 Solve -6 = -o - 7 for o. -1 Solve -144*z - 80 = -154*z for z. 8 Solve 3 + 37 = -8*y for y. -5 Solve -694*w + 25 = -689*w for w. 5 Solve 40*o + 113 = -7 for o. -3 Solve -4*o = -258 + 290 for o. -8 Solve 0 = 16*r + 77 + 51 for r. -8 Solve q = -6*q for q. 0 Solve -2*t + 5 = 9 for t. -2 Solve 13*u
{ "pile_set_name": "DM Mathematics" }
-31 + p for u. 5 Let u = 11 - 9. Suppose -3*l + 7*z = u*z + 16, -4*z = 5*l - 35. Let b be 3/l + 4 - 1. Solve -8 + b = 2*p for p. -2 Suppose -3*h = m - 575, 14*h - 18*h - 2*m = -768. Solve 187 = -2*p + h for p. 2 Let q = -61 + 64. Suppose -q*d + 1 = 4*g, 0*d - 4*d = 20. Solve -g*s = s for s. 0 Let y = -71 - -26. Let l = y + 50. Solve -l = f - 4 for f. -1 Let n be 12/(68/8 - 7). Solve -9 = -11*t + n*t for t. 3 Let x(m) = m**2 - 7*m - 5. Let f be x(10). Solve -3*v + 8*v = f for v. 5 Suppose -19 = 4*v - 3*i, -v - 5*i - 26 = -10*i. Suppose 2*q + 1 - 5 = 0. Let o = q - v. Solve -t + o*t = -2 for t. -1 Let k(c) = c**3 - 16*c**2 + 8. Let n be k(16). Suppose -5*v = -5*r - 2 - n, 0 = -r - 4*v + 23. Solve -2*g = r*g - 5 for g. 1 Suppose -2*q + 29 = 3*u, 5*q - 52 = -4*u + 17. Let b = -11 + q. Let y be 3 + b*(-27)/(-6). Solve -2*p = p + y for p. -4 Let a(n) = n**3 + 2*n**2 - 2*n - 5. Let y(b) = -b**3 - 3*b**2 + b + 6. Let c(s) = -3*a(s) - 2*y(s). Let m be c(-2). Solve 8 = m*f + 2 for f. 2 Let d = 26 - 26. Let j be 0 + d/(4 + 0). Solve j*v = -4*v + 8 for v. 2 Suppose -2*r + 5*n + 9 = 0, -4*r = -3*n - 33 + 8. Solve -r*h = -8*h for h. 0 Let l = 92 - 85. Solve 6*o + 17 = -l for o. -4 Suppose 0 = -348*a - 341*a + 698*a - 27. Suppose 0 = 2*n + 2 + 2, 3*u = -2*n - 4. Solve y - a*y = u for y. 0 Suppose -2*u = 6, 0 = 2*s + 2*u - 1 + 7. Solve 4*o + 0*o + 16 = s for o. -4 Suppose 3*z - 9 + 0 = 0. Let f = z + 6. Let r be (6/9)/(2/f). Solve a = -0 + r for a. 3 Let h(o) = o**2 - 8*o + 9. Let p be h(7). Suppose c + c = -10. Let s = c + 5. Solve 0 = -w - s*w - p for w. -2 Let i(s) = -2 + 1 - 4 - s. Let g(k) = k**3 - 6*k**2 + 2*k + 6. Let d be g(5). Let y be i(d). Solve 8 = -4*j - y for j. -3 Let u = -77 - -85. Let x be 16/(-128) - (-1)/u. Solve -3*a - 9 + 0 = x for a. -3 Suppose 3*f + 282 = -0*f. Let t = -90 - f. Solve -2*r + t = -0*r for r. 2 Let o(j) = 10 - 18 + 15 + j + 4. Let n be o(-8). Solve n*b + 0 = 9 for b. 3 Let f(u) = -u**2 + 8*u - 3. Let g be f(7). Let i be (4/(-2))/((-2)/4). Suppose q + i = 2*q + 4*o, q = 5*o + g. Solve q*m + 8 = -8 for m. -4 Let m(u) = 18 + 6*u + 27 + 60 - 23. Let p be m(-13). Solve -p*t = t for t. 0 Let w be 12*(4 - (-171)/(-54)). Solve w*h + 22 = 2 for h. -2 Let y(l) = -l**2 + 7*l + 46. Let m be y(11). Let i = 1 - -7. Let k = i - 6. Solve -k*v - m = -3*v for v. 2 Suppose -33*o - 61*o + 110*o = 80. Let r = -1 + 1. Solve o*d - 4*d - 5 = r for d. 5 Let k(b) = -3*b**2 - 9*b + 37. Let n be k(-5). Solve 0 = -6*g + n*g for g. 0 Suppose -6*f = -75 + 27. Solve -28*w + f = -26*w for w. 4 Let u = -57 + 49. Let p be u*3/(-42) + 52/7. Solve -2*n - p = 2*n for n. -2 Let d(j) = j**3 - j**2 - j + 3. Let u be d(0). Let w = 4 - u. Let n = 509 + -505. Solve n*f - 13 = -w for f. 3 Let h = 161 + -151. Solve -35*n + 37*n = h for n. 5 Let t be (-11 - 38) + 0 + 2. Let l = t - -50. Solve -f - 10 = -l*f for f. 5 Let o = 197 - 191. Solve -2*i + 8 = -o*i for i. -2 Suppose 0 = -2*x + 5*z - 11, 0 = x - 2*z + 4. Solve 35*d + x = 37*d for d. 1 Let o be 2 - 38/(-9) - 18/81. Solve 11 = -o*x - 7 for x. -3 Let p = 59 + -113. Let j = 78 + p. Let l be (-16)/6*j/(-16). Solve l = 3*z + 7 for z. -1 Let o = 560 + -557. Solve -o*z + 8*z = 5 for z. 1 Let a be (3 + -1)/((-1)/4). Let p be -8*4/8 - a. Solve p*g + 12 = g for g. -4 Let q(c) = -c**2 + 2 + 0*c + 8*c - 9 - 4. Suppose -3*n + 5*f - 7 = 3, -f = -n. Let p be q(n). Solve -p*b + b = 9 for b. -3 Let k = -2 - -6. Suppose k*o + 160 = -o. Let d be 10/(-8)*o/1. Solve 15 - d = -5*g for g. 5 Let j(t) = -t**3 - 9*t**2 - 17*t + 14. Let u be j(-7). Solve -u*c = -40*c - 5 for c. -1 Suppose 4*o = -0*o - 3*r + 77, o = -r + 20. Solve 0 = 14*m - o*m + 6 for m. 2 Let v be (80/64)/((-2)/(-40)). Let m = v - 20. Suppose -3 + m = r. Solve 10 = -4*w + r for w. -2 Suppose 4*j - 6*j = 3*y, -4*j = -5*y + 22. Suppose y*r + 20 = 3*r. Solve 9*u - 4*u = -r for u. -4 Let n be 0 + (-7 + -1)/(-2). Suppose 0 = n*l - 20 - 28. Suppose 2*w - 7*w = 2*i - 23, 17 = 5*i - w. Solve i*a - 8 = l for a. 5 Suppose 3*u - 65 = -5*i, 3*u + 2*i = 8*u - 160. Let q = -15 - -19. Let w be 48/u - q/(-10). Solve w*l = -l + 15 for l. 5 Suppose 2*n = 5*x - n - 28, 3*n - 28 = -2*x. Let m(t) = -t**3 - 12*t**2 - 20*t + 8. Let v be m(-10). Solve -4*f = v + x for f. -4 Let v be (-7)/(21/(-93)) - -9. Solve 5*o = 15*o + v for o. -4 Let x be 52/7 - -2*14/49. Solve x*j - 3 = 5*j for j. 1 Let n(t) = t**2 + 8. Suppose -7*u = -2*u + u. Let r be n(u). Solve -4*z + 8 = -r*z for z. -2 Let b be 6/(-27) - (-9)/(486/120). Solve 5*c - 12 = b*c for c. 4 Let h = -86 + 122. Solve 11*a = 2*a + h for a. 4 Let f = -5 - 2. Let s = f - -9. Let c be (5/15)/(s/48). Solve -i = i + c for i. -4 Let o be ((-486)/189)/(1/(-7)). Solve 56 = o*k + 10*k for k. 2 Suppose 9 + 6 = 5*s. Suppose -s*l = 2*l - 25. Let b(y) = 82*y - 567. Let u be b(7). Solve -u = l*d - 32 for d. 5 Let x be 1/(-5) + 205/25 + 0. Solve h - 3*h = x for h. -4 Let j be (-1294)/(-17) + (-13)/1326*12. Solve -69 + j = -7*s for s. -1 Suppose -7*n + 9 = -5. Suppose -5*g = n - 32. Solve -2*b + g = -5*b for b. -2 Suppose 0 = 127*l - 124*l - 27. Solve l = -7*t - 5 for t. -2 Suppose 5*a + 6 = -4*k, -k - 2*a + 6 - 9 = 0. Suppose -2*c + 13 - 9 = m, 3*m = 2*c + 12. Solve -t + m = k for t. 3 Suppose 2*u - 3*y + 8 = 0, -2*u - 18 = -5*u - 3*y. Solve -u*o + 6 = -0 for o. 3 Suppose -i - 28 = -3*r + 28, -3*i + 84 = 5*r. Suppose -r*u + 32 = -2*u. Solve 10 = u*b + 2 for b. 4 Suppose -4*z - 3*h - 56 = -78, -10 = -5*h. Solve -13*x + 17*x = -z for x. -1 Let a = 2 - 2. Suppose 13*c = 76 - 24. Solve 5*b - 16 - c = a for b. 4 Let a be (-4 - (-112)/24)*(0 - -21). Let v(q) = -q**2 - 4*q + 6. Let z be v(-5). Solve -z = -5*i + a for i. 3 Let h = 2504 + -2492. Solve 57 = -9*q + h for q. -5 Let i(y) = -11*y + 99. Let k be i(5). Solve -16 = k*p - 40*p for p. -4 Suppose 4*t + 5*d - 40 = -0*d, 0 = -d. Solve 0 = -t*g + 8 - 28 for g. -2 Let g(j) = j**2 - 7*j + 60. Let b be g(12). Solve -4*v - 112 = -b for v. 2 Let j(d) = d**3 + 8*d**2 + 2*d - 9. Let u be j(-6). Let v = u + -49. Solve -h - v = -5 for h. 3 Let t be (153 - 7/((-14)/8)) + -4. Let v be 34/t + (-2)/9. Solve -5*r + v*r - 10 = 0 for r. -2 Let b(y) be the third derivative of y**4/12 + 4*y**3 + 2*y**2. Let p be 2*30/(-5) + 2. Let w be b(p). Solve -8 - w = 4*m for m. -3 Suppose 0 = 5*i + p - 129, -5*i + 6*p - p + 105 = 0. Solve 11*m - 16*m = -i for m. 5 Let a(i) = -8*i - 21. Let r be a(-3). Solve -r*d + d = -6 for d. 3 Suppose 95 = k + 95. Solve -h + 2*h + 5 = k for h. -5 Suppose 33*s = 20*s + 143. Solve 2*r = 9 - s for r. -1 Let l = 11 + -3. Let a = l + -9. Let h(f) = -f + 1. Let k be h(a). Solve k*s + 0*s = -4 for s. -2 Suppose 0*d - d + 100 = 0. Suppose z - d = j - 4*j, 2*z = -2*j + 68. Let t = -18 + j. Solve 2*k = 7*k - t for k. 3 Let b be 1024/32 + (1 - 1). Solve 33*f - b*f = 3 for f. 3 Let c(o) = -o**3 + 11*o**2 + o - 5. Let v be c(11). Let l(z) = -3*z + 20. Let p be l(v). Suppose -s = p*h, -s + 6*s - 13 = 3*h. Solve -2*t = s*t for t. 0 Suppose -3*s + 3 = -j, 0 = 2*j + 2*s + 2*s - 44. Solve -14*p = -17*p - j for p. -4 Suppose 14 = 6*v - 4. Suppose -1 = r - v. Solve -4 = -2*s - r*s for s. 1 Let w be (-21 + 16)*6/(-10). Solve -7*m + w*m - 4 = 0 for m. -1 Let p be (15/(-6))/(2/((-16)/5)). Solve -r = r - p*r for r. 0 Suppose 6*j + 12 + 0 = 0. Let i be (j - -2 - -4) + -2. Solve 8 = -2*u - i*u for u. -2 Suppose 0 = -4*y + 2*y. Suppose 5*x - 103 = -3*q, -4*q - 95 = -5*x + 1. Suppose y = g + g - x. Solve b - g = -b for b. 5 Let b be 1/8*-2*(0 - -4). Let k(h) = 5*h + 8. Let n be k(b). Solve 0 = -n*i + 4 - 1 for i. 1 Let d = -133 + 133. Solve -b + d*b = 4*b for b. 0 Let d = 25 + -48. Let r = 23 + d. Solve r*a = -a for a. 0 Suppose -11*y + 785 = 158. Solve -61*v + y*v - 20 = 0 for v. -5 Let x be ((-1)/3*-4 - 1)*18. Solve -x*t = -5 + 35 for t. -5 Let z be 1*24 + 3 + -5 + 2. Let t = -16 + z. Solve 3*x - t = -x for x. 2 Let p be 3 + -6 + 1 + 25. Let t = 39 - p. Let w = -6 + t. Solve 0 = -4*s - s + w for s. 2 Suppose -3*o - 10 = -l, 4*l + o - 10 = -2*o. Suppose -2*h + 7 = z - h, -20 = -l*h. Solve -8 = -2*i - z*i for i. 2 Let o = -50 - -50. Let w(a) = -a**2 - 4*a. Let n be w(-4). Let u be 4 - ((4 - 4) + n). Solve -u*y = -o*y - 16 for y. 4 Suppose 10*p - 15*p = -15. Suppose -2*t = -0*t - p*u - 9, -t + u + 3 = 0. Solve m + 4 + 1 = t for m
{ "pile_set_name": "DM Mathematics" }
What is 20021211 (base 4) in base 7? 166215 Convert -6a0283a (base 11) to base 14. -18a9d13 What is -20410004 (base 6) in base 7? -5014516 What is 11322323033 (base 4) in base 3? 2220212001102 What is 5d7b23 (base 16) in base 13? 1366694 -40d854 (base 16) to base 8 -20154124 Convert 3951915 (base 10) to base 11. 225a150 Convert 164994 (base 10) to base 6. 3311510 What is -ba6aa (base 12) in base 13? -881a7 Convert 6d0724 (base 15) to base 2. 10011111001011011110000 -21221311203 (base 4) to base 11 -147935a What is 89856 (base 10) in base 16? 15f00 1100111101020 (base 3) to base 5 140441331 Convert -10001110001010101110000 (base 2) to base 4. -101301111300 What is -6434363 (base 7) in base 6? -24431505 Convert 30320210 (base 4) to base 13. 1b035 What is 1001110100010011000111 (base 2) in base 14? 4adc23 What is 14598256 (base 10) in base 5? 12214121011 Convert 121111101010102 (base 3) to base 16. 85c36d What is -23223201 (base 4) in base 5? -3012331 -637641 (base 8) to base 11 -135a53 Convert 3368 (base 15) to base 6. 122242 What is e55156 (base 15) in base 3? 202111212010100 What is 1c5cf (base 16) in base 8? 342717 Convert -148cdd7 (base 15) to base 14. -1d937b2 -244911 (base 13) to base 9 -1561453 What is 101334103 (base 5) in base 9? 706375 What is -1560880 (base 10) in base 3? -2221022010101 1122201022220 (base 3) to base 6 30510423 Convert -9990184 (base 10) to base 7. -150625621 -11112201002120 (base 3) to base 7 -26346351 42829 (base 14) to base 8 471765 11001000110101101101010 (base 2) to base 11 3795527 Convert 745b0 (base 13) to base 15. 42203 What is ca827 (base 14) in base 2? 1110111101000110011 What is -22552 (base 11) in base 6? -410542 Convert -2143664 (base 7) to base 14. -6bc34 What is 203324112 (base 5) in base 15? 118a22 62222 (base 11) to base 15 1bd69 What is -1651272 (base 8) in base 5? -110324210 Convert 732138 (base 15) to base 5. 2400141103 What is -1229b88 (base 15) in base 5? -11314343403 What is -11000000101110100010 (base 2) in base 7? -6465326 Convert -333036 (base 8) to base 5. -12042113 -320033313 (base 4) to base 13 -80b35 -3001300 (base 4) to base 5 -344100 What is -120304 (base 11) in base 4? -232203230 Convert -3701114 (base 8) to base 12. -410238 Convert 11345605 (base 7) to base 12. 4046a7 -1734371 (base 8) to base 15 -9ee55 What is -13a35 (base 11) in base 3? -1000021101 Convert -3111706 (base 10) to base 4. -23313230122 What is a704 (base 14) in base 13? 10168 Convert 100100010010010000 (base 2) to base 3. 21112212121 Convert -100313033202 (base 4) to base 13. -bba136 What is 201400 (base 9) in base 8? 350557 Convert 5655532 (base 7) to base 2. 10101011101001100011 -2011040010 (base 5) to base 13 -aa1a60 Convert 11122043 (base 5) to base 3. 11222222101 2798119 (base 10) to base 9 5234261 -7f2767 (base 16) to base 2 -11111110010011101100111 What is 176867 (base 10) in base 5? 21124432 Convert -235023 (base 6) to base 5. -1124120 Convert 156b87 (base 13) to base 16. 81362 Convert -1250355 (base 9) to base 5. -133321022 What is 949518 (base 10) in base 14? 1aa06a Convert -1780685 (base 9) to base 11. -621763 What is 1135240351 (base 6) in base 5? 11242220100 -635 (base 7) to base 12 -228 98145 (base 12) to base 9 335208 What is 122121002102 (base 3) in base 9? 577072 12100210221 (base 3) to base 6 2132424 Convert -446438 (base 11) to base 3. -1100010200200 What is 56627 (base 13) in base 15? 317de 20317144 (base 9) to base 16 94d8f6 350047 (base 9) to base 16 3344b -21161 (base 7) to base 16 -1475 What is 3023123 (base 4) in base 13? 5c06 Convert -43072 (base 15) to base 9. -353728 What is -4871c4 (base 13) in base 2? -110100110001101011000 144143400 (base 5) to base 13 210356 What is 12310b8 (base 12) in base 2? 1101100010001001001100 71026 (base 12) to base 3 21110112010 -2416054 (base 7) to base 13 -a9993 -1011211131 (base 4) to base 12 -118b39 What is -137460 (base 10) in base 4? -201203310 -750134 (base 8) to base 10 -249948 What is 30150057 (base 9) in base 5? 12144101223 Convert -6353214 (base 8) to base 10. -1693324 What is -997235 (base 12) in base 11? -1416122 -653132 (base 15) to base 16 -498b3c -61772 (base 10) to base 4 -33011030 What is -12010100211 (base 3) in base 4? -120220003 What is -15904a2 (base 14) in base 4? -220103123032 223135 (base 16) to base 13 605c3b What is 695418 (base 10) in base 6? 22523310 Convert 42967 (base 11) to base 7. 346614 What is 15442342 (base 6) in base 8? 2062266 Convert 1976247 (base 10) to base 15. 29084c Convert 11011001111011001110111 (base 2) to base 4. 123033121313 What is 213205 (base 6) in base 9? 26085 What is -12d118 (base 14) in base 9? -1201338 -1b06c4 (base 13) to base 8 -2475056 Convert 1273a1a (base 13) to base 7. 100052251 Convert -116676 (base 9) to base 5. -4224124 ac437 (base 14) to base 12 181a29 -23a1614 (base 11) to base 2 -1111111011001110100101 -7d465 (base 16) to base 10 -513125 Convert -a25785 (base 14) to base 16. -537849 1111011110111001011010 (base 2) to base 12 1438962 What is 343336 (base 8) in base 3? 12220201211 What is -6316611 (base 8) in base 3? -10011021210011 What is -100210202120011 (base 3) in base 6? -303410221 Convert 10b9894 (base 12) to base 13. 891796 -10001101010110001101100 (base 2) to base 3 -22201022102222 -10100100110100010011001 (base 2) to base 3 -101011101102000 What is -6a4027 (base 11) in base 14? -211661 Convert -1183c97 (base 15) to base 4. -233330112133 -40416674 (base 8) to base 6 -502434112 Convert 4a713 (base 11) to base 16. 11c1f Convert 46144 (base 13) to base 8. 371243 Convert -57198 (base 11) to base 10. -82750 25622525 (base 7) to base 4 20323300211 Convert -8a368 (base 16) to base 4. -2022031220 What is -890ac (base 16) in base 6? -20010420 What is -4019a5 (base 11) in base 2? -10011101111001010011 980e9 (base 15) to base 12 1b3510 What is -120dc (base 15) in base 3? -2220222200 Convert b12a36 (base 12) to base 8. 12424112 Convert 12e07 (base 15) to base 13. 21724 Convert 644666 (base 9) to base 13. 105a26 111022202021 (base 3) to base 5 31343013 What is 1001011012202 (base 3) in base 7? 4465505 Convert 2003003010 (base 4) to base 9. 1007273 What is 201000012011 (base 3) in base 2? 1011011010101100100 Convert -1250602 (base 7) to base 5. -20213224 Convert 1000100010001111011110 (base 2) to base 10. 2237406 Convert 103503 (base 6) to base 2. 10000110011111 -2e496 (base 15) to base 14 -3c6d7 111530021 (base 6) to base 15 2a7194 Convert 7057501 (base 8) to base 15. 26ade8 What is 1010010111001111101111 (base 2) in base 12? ab017b 1be6e (base 15) to base 11 62411 -1004004 (base 9) to base 4 -2002131121 What is -64063 (base 11) in base 9? -151808 846c3 (base 13) to base 11 153172 8aac (base 14) to base 15 71e4 -10bb1a (base 13) to base 5 -100203332 3182468 (base 10) to base 14 5cbb12 260155 (base 8) to base 7 524015 35163023 (base 7) to base 11 1821461 Convert 26828aa (base 11) to base 3. 22201020120211 -202555410 (base 6) to base 16 -35647e Convert 59652 (base 10) to base 3. 10000211100 What is -43312120 (base 5) in base 14? -98a04 6656127 (base 8) to base 3 10101002200112 What is -86810 (base 11) in base 5? -13013333 What is 1111100000011000 (base 2) in base 9? 106108 -2330120 (base 5) to base 8 -123047 What is 1001220021120 (base 3) in base 5? 121200244 What is -10e3ce (base 15) in base 11? -501756 Convert 13948 (base 13) to base 11. 25664 Convert -203111440 (base 5) to base 7. -10034002 What is -574775 (base 12) in base 2? -101010101001001001001 -1062175 (base 8) to base 4 -1012101331 Convert 342018 (base 9) to base 14. 54934 What is 15460025 (base 7) in base 3? 2210212121122 -412312 (base 7) to base 5 -4223341 What is de1b59 (base 16) in base 3? 1000101112001212 8426f (base 16) to base 11 33a757 -2d5fa5 (base 16) to base 6 -143422405 -26a7b8 (base 13) to base 9 -1677605 Convert 580404 (base 10) to base 2. 10001101101100110100 What is 1748773 (base 9) in base 3? 1211122212110 -320141015 (base 6) to base 2 -10101011010000110000011 What is 4424200 (base 5) in base 11? 52779 -677711 (base 8) to base 15 -47e31 Convert 42cb66 (base 13) to base 5. 400224401 What is 20603454 (base 7) in base 3? 10021212102220 Convert -3345123 (base 6) to base 5. -20411421 Convert -200066 (base 8) to base 13. -23b15
{ "pile_set_name": "DM Mathematics" }
- 4. Suppose 0*p = t*p - 20. Let v be ((-5)/(-3))/(p/(-30)). Put 1, v, 5 in descending order. 5, 1, v Let u be (12/(-3))/(-4)*12/(-3). Let p = 1 + 1. Suppose -5*s - p = -17. Sort s, u, -5 in descending order. s, u, -5 Suppose 4*f = 19 + 1. Let l = -19 + 23. Suppose 0 = -f*j + v + 5, l*v = 5*j + v - 5. Sort j, 5, -5. -5, j, 5 Suppose 4*j = -j. Let o be (j - 1)/(-1) - 1. Let r be (-2)/16*1*2. Put o, r, 1 in descending order. 1, o, r Let o = 9 - 8. Let s = -13 + 10. Put o, 0.1, 5, s in descending order. 5, o, 0.1, s Let x = 28.1 + -28.11. Suppose 6 + 4 = 3*h - 5*b, 4*h + 3*b + 35 = 0. Sort -4, x, h, 2 in decreasing order. 2, x, -4, h Let k = 211 + -1057/5. Sort -1.2, 2, 5, k in descending order. 5, 2, k, -1.2 Let h = -1966 - -13761/7. Suppose 26 = 2*i - 3*i. Let a be i/18 + 2 + -1. Put h, a, 4 in increasing order. a, h, 4 Let o be 1928/60 - 12/90. Put -0.4, -5, o, -3/4 in increasing order. -5, -3/4, -0.4, o Let w = -120 + 120.083. Let q = 0.153 - w. Put -3, -0.4, q, 2 in increasing order. -3, -0.4, q, 2 Let o = 5 + -4. Let l be (2/3)/((-2)/(-15)). Suppose a = -2*b - 2, 0 = -l*b - 2*a - 3*a - 10. Put o, b, 3 in increasing order. b, o, 3 Suppose 2*c = c + 5*o - 10, c - 3*o = -4. Let l = 6 + -3. Let x = 2176.6 + -2181.6. Sort l, x, c in decreasing order. c, l, x Let i(x) = x**2 - 6*x - 23. Let f be i(-3). Sort -5, f, -36 in ascending order. -36, -5, f Suppose 3*o - 55 + 13 = 0. Suppose -18*q - 4 = -o*q. Put -2, q, 1, 3 in decreasing order. 3, 1, q, -2 Suppose 2*d - 21 = -t, -4*t - d + 135 = 51. Suppose 2*q = 5*q - t. Put -4, q, 1 in ascending order. -4, 1, q Suppose 3*w + 5*q = -10, -2*q + 10 = -w + 3*q. Let u be (12/(-18))/((-4)/(-6)). Suppose -32 = -41*a + 50. Sort w, a, u. w, u, a Let c = -3 + 11/4. Let m = 49 - 44. Put 3, m, -9, c in descending order. m, 3, c, -9 Suppose -5*j - 4 = 3*a, 5*j - 2*j = -6. Let u(y) = -y**3 - 6*y**2 + y + 7. Let h be u(-6). Let t = 0 + h. Sort -2, a, t in increasing order. -2, t, a Let j be 2/(-6) + 325/(-15). Let o = j + 22. Put 4, 1, o in ascending order. o, 1, 4 Let f = 1879 + -1879.03. Sort 1/33, f, -3, -4. -4, -3, f, 1/33 Let t = 0 - -0.1. Let n = 153 - 118.7. Let l = 34 - n. Put -5, l, t in increasing order. -5, l, t Let g(r) = 2*r - 14. Let k be g(8). Let x(d) = -d + 12. Let f be x(k). Suppose -4*t = -0*t. Sort f, t, -3 in increasing order. -3, t, f Let z = -125/36 + 13/4. Let w = 17/36 + z. Put 0.3, w, 0, 5 in increasing order. 0, w, 0.3, 5 Suppose 4*i = -12 + 12. Let n = -0.08 + 0.08. Let h = n - -2. Sort -3, i, h in ascending order. -3, i, h Let k(r) = -r**3 + r**2 + 4. Let m be k(0). Suppose 3*j - 5 + 2 = 0. Suppose -18 = -2*p - 3*d, d = -0*p + p + j. Sort p, m, 2 in ascending order. 2, p, m Let p = 0.493 - 0.193. Sort -0.1, 32.5, p in descending order. 32.5, p, -0.1 Suppose 156*r + 1 = 155*r. Sort r, -87, -3 in descending order. r, -3, -87 Suppose -3*u - 3 = 9, 3*a + 2*u + 29 = 0. Let i be ((-6)/9)/(10/45). Put a, i, 1 in descending order. 1, i, a Let z = -1 - 3. Let h = -304.1 + 304. Sort 0.5, -2/5, z, h in decreasing order. 0.5, h, -2/5, z Suppose -140 + 17 = 3*d. Let h = 39 + d. Put h, -4, 3 in decreasing order. 3, h, -4 Let p = -2179 + 10892/5. Sort p, 22/5, -4 in descending order. 22/5, p, -4 Let l = 27.7 - 28. Let a be (-1)/(1*(-1)/5). Sort l, 5/4, a in descending order. a, 5/4, l Suppose 18*w = 12 - 66. Sort -9, -6, -1, w in increasing order. -9, -6, w, -1 Let f = 0.08 + -3.08. Let k = -8.2 + 10.2. Put 7, k, f in descending order. 7, k, f Let f = -4 - 1. Let v = 52.5 + -52.47. Put v, 4, f, 0 in decreasing order. 4, v, 0, f Suppose -p = 2*p - 3. Suppose 0*u = -4*u - 2*q + 252, -66 = -u - 2*q. Suppose y + 57 - u = 0. Sort p, -4, y in ascending order. -4, p, y Suppose 4*u + u = 0. Suppose u = o + 7 - 2. Put o, 1, 4 in descending order. 4, 1, o Suppose -1392*d = -1397*d + 15. Sort d, 0, 2, -3 in ascending order. -3, 0, 2, d Let l = -23 - -22.6. Let p = -1.99 - -2. Let m = p - 0.01. Sort m, -3/2, l. -3/2, l, m Let r = 22 - 19. Sort -5, 1, r, -0.02 in descending order. r, 1, -0.02, -5 Let d(m) = -m + 17. Let o be d(14). Sort o, 7, 0. 0, o, 7 Let j(h) = 518*h**3 + 17*h**2 - 1 - 2 + 18*h - 519*h**3. Let p be j(18). Let c = 3 + -4. Sort c, 1, p in increasing order. p, c, 1 Let f = 37.4 + -37. Let n be ((-6)/(-4))/(3/6). Sort f, 1, n in descending order. n, 1, f Let z = 0.06 - 0.16. Let p = 82.3 - 82. Let w = z + p. Sort w, 0, 5 in decreasing order. 5, w, 0 Suppose 4*d - 4 - 4 = 0. Suppose 9*c = 11*c - 8. Let l be (-6)/16*c/6. Put d, 1/8, l in increasing order. l, 1/8, d Let s = 0.756 + 1.344. Sort -1, 0.3, -5, s in descending order. s, 0.3, -1, -5 Let f = 200.48 - 201. Put 2, f, -1 in descending order. 2, f, -1 Let o = -92 + 94. Put 8, 1, o in descending order. 8, o, 1 Let y(x) = -28*x + 196. Let t be y(6). Put t, -1, 0 in increasing order. -1, 0, t Let q = 0.1 - 2.4. Let f = q + 2.1. Let r = -6 - -2. Sort f, r, -1/4. r, -1/4, f Suppose 5*l + 6 = 5*s + 3*l, -5*l + 16 = 3*s. Sort -3, s, -2, -6/13 in descending order. s, -6/13, -2, -3 Let v be (3/(-2) - 1)/((-2)/4). Put -3, 20, 2, v in increasing order. -3, 2, v, 20 Let k be 8/16 - (-154)/4. Suppose 4*i = k - 35. Put i, 3, 6 in descending order. 6, 3, i Let o = 521.87 - 519.87. Let v be -1 - ((-33)/10)/3. Sort o, 1, v. v, 1, o Let n = -1675 + 1674.9. Sort -3, 2, 0, n. -3, n, 0, 2 Suppose 3 - 9 = -3*u. Suppose 0 = 8*i - 3*i + 5*r - 15, -3*i = u*r - 6. Sort 6, -3, i in decreasing order. 6, i, -3 Suppose 5 = -g + 15. Suppose 5*o + 9 = -2*q - 8, g = 2*o + 5*q. Let p(y) = 80*y - 718. Let r be p(9). Sort o, 0, r in increasing order. o, 0, r Let y be (1/(-3))/((-48)/(-192)). Put -9.1, y, -0.3 in ascending order. -9.1, y, -0.3 Let p = -85.97 + 87. Let o = p + 0.27. Let l = 3.3 - o. Sort l, 1, 4 in descending order. 4, l, 1 Let l be (-3)/(((-2)/(-2))/1). Let m be (11/275)/(4/60*3). Sort m, 2/15, l. l, 2/15, m Let p = -29159/2475 - -106/9. Let x = 33403374 - 82673349559/2475. Let g = x - p. Sort -1, -3/7, g in ascending order. -1, -3/7, g Suppose 24 = 5*i + l, -28 = -i - 2*i - 4*l. Suppose -i = -8*z - 44. Suppose -3*m + 4*g + 9 = 0, 0*m - 2*g = 4*m - 12. Put 6, m, z in ascending order. z, m, 6 Suppose 7*k - 4*k = 5*z + 5, -23 = -4*z - 3*k. Let q = -26 + 15. Let x = q - -5. Sort x, z, -4 in ascending order. x, -4, z Let z(b) = b**2 + 3*b + 1. Let x(n) = -n**2 - 15*n - 18. Let p be x(-14). Let y be z(p). Suppose 0 = -y*g + 8*g - 12. Sort -3, g, -9 in ascending order. -9, -3, g Suppose 0 = -u + 10 - 6. Put 0, u, 5, 2 in ascending order. 0, 2, u, 5 Let w = 1104 - 1106. Put 0, 7, w in descending order. 7, 0, w Let h be (-6 + 2)*1/(-14). Let m = 40.1 + -41.3. Put 2, h, m in decreasing order. 2, h, m Let o = 12 - 1. Suppose -x = -0 + 4. Sort -2, 0, x, o. x, -2, 0, o Let g = -6.6 + 6. Let h = 1.1 + g. Let r = 913/1160 + 3/232. Put h, 0, r in decreasing order. r, h, 0 Let x(b) = b**3 - 16*b**2 - b + 11. Let j(a) = -a**3 + 15*a**2 + a - 11. Let s(p) = 3*j(p) + 2*x(p). Let r be s(13). Sort -1, -5, r in ascending order. -5, -1, r Suppose 10*t = 45 + 15. Suppose -t*z - 4*z - 10 = 0. Sort z, 77, -2, 0. -2, z, 0, 77 Let l = 0.653 - 2.653. Suppose -5*u - v + 7 - 3 = 0, u - 5*v + 20 = 0. Sort -0.4, l, u, 3 in ascending order. l, -0.4, u, 3 Let o = 2900 + -345102/119. Let j = 216/1309 - o. Put j, -2, 3 in decreasing order. 3, j, -2 Suppose 0 = 3*a - 4*k - 7, 7 = -4*k + 15. Suppose 0 = -5*x + w + 15, 0 = -x + 3*x - 2*w + 2. Suppose a*z = u + x - 23, z + 7 = u. Sort 3, z, 4. z, 3, 4 Let t be (270/(-60))/((-6)/4). Suppose w - 2*m + 1 = -3*m, 3*m = -5*w - 9. Sort w, t, 48, -1 in increasing order. w, -1, t, 48 Let s = 34.6 - 35. Let p = 1.29 - 20.39. Let j = p + 19. Put s, j, -4 in ascending order. -4, s, j Let b = -0.04 - 0.96. Let r = -11 + 13. Let w be (-4)/2*r/24. Sort b, w, -1/5. b, -1/5, w Let u = -659.5 - -659. Put -0.137, u, -0.3 in increasing order. u, -0.3, -0.137 Let k = 1 + 0. Let x be -2*((-3)/k)/3. Put 1, -8, -1, x in descending order. x, 1, -1, -8 Suppose b - 16 = 5*b. Let x = -1787.5 + 1787. Put -1, b, x, 4 in ascending order. b, -1, x, 4 Let f = -2 + 0. Let u = -898/555 - -2/111. Sort f, -0.4, u in descending order. -0.4, u, f Let o = -2351/2 + 1176. Let s be 6/21 + 23/(-56). Sort s, o, 3/8 in descending order. o, 3/8, s Let t = -3 + 3. Let q = 365 + -366. Put -2, 2/3,
{ "pile_set_name": "DM Mathematics" }
10*((-194)/(-10) - 2). Suppose -11*b + 17*b = k. Let h(s) = -4*s - 2. What is the remainder when b is divided by h(-2)? 5 Suppose -41*y = 13032 - 36689. What is the remainder when y is divided by 26? 5 Suppose -q + 14507 = 5*d, -3*d = -3*q - 0*q - 8715. What is the remainder when d is divided by 88? 86 Let q(z) = -z**2 + 22*z - 25. Let k be q(9). Let d = k + -66. Calculate the remainder when d is divided by 9. 8 Suppose -24 = -5*o - 2*b, -3*o + 2*b + 24 = -0*b. Let f(h) = 2*h + 10. Calculate the remainder when f(o) is divided by -1 + 0 + 8 + 1. 6 Let v(a) = -a**2 + 16*a - 7. Let x be v(16). What is the remainder when 35 is divided by -5*((-18)/7)/((-5)/x)? 17 Let y = 4 - 6. Calculate the remainder when 35 is divided by 2 - (1/(y/34))/1. 16 Suppose 5*r + q + 207 = 1262, -5*r + 1080 = -4*q. Suppose -4*m = -r + 12. What is the remainder when m is divided by -1*39/(-6)*2? 11 Let j = 16 - 10. Suppose 0*s - 60 = -4*s. Suppose -5*v - 5 = -s. What is the remainder when j is divided by v? 0 Suppose -n + 0*n + 3*c = 25, -5*n = 3*c + 89. Let d = -3 - n. Suppose -5*o + 5*h = -120, -d = -o + 2*h + 3*h. Calculate the remainder when 77 is divided by o. 25 Let b = 566 - 526. Calculate the remainder when b is divided by 7. 5 Let u(c) = -5*c + 37. Calculate the remainder when 8 is divided by u(7). 0 Suppose -1212 = -4*o - 5*h, -3*o - 11*h = -6*h - 909. Calculate the remainder when o is divided by 8. 7 Let u(p) = 3*p**2 - 12*p + 19. What is the remainder when 174 is divided by u(2)? 6 Let l(o) = -o + 23*o**2 - 27*o**3 + o - 24*o**2. Calculate the remainder when l(-1) is divided by 9. 8 Suppose -66 = -4*p + 42. Let l be (-4)/(-6) + (-50)/(-15) - -208. Suppose 5*n + 341 = 4*a, -l = -a - 2*a - 5*n. What is the remainder when a is divided by p? 25 Let n(g) = 2*g**2 + 22*g - 38. What is the remainder when 82 is divided by n(-13)? 12 Let y(z) = -2*z**2 - 17*z - 11. What is the remainder when y(-6) is divided by 7? 5 Let a be (0*(-4)/(-12))/2. Suppose a = -17*z + 7*z + 140. Calculate the remainder when 43 is divided by z. 1 Let y = -13 - 15. Let m = y + 16. What is the remainder when 40 is divided by (-42)/(-8)*(-32)/m? 12 Let j = 112 - 59. Let o = j - 48. What is the remainder when 14 is divided by o? 4 Let m be (-5)/(-2)*(-14)/7. Let u = 5 + m. Suppose 84 = 2*g - d - d, -g - d + 34 = u. Calculate the remainder when g is divided by 13. 12 Suppose -v + 36 = 2*v. What is the remainder when (-10450)/(-285) - ((-2)/6 - 0) is divided by (2/(-6) - -1)*v? 5 Let u = -112 + 190. Suppose 2*i + 70 = 270. Suppose 2*x + 3*x = i. Calculate the remainder when u is divided by x. 18 Suppose c - 4 = 2*i, i - 2 = c - 4. Suppose c = -b + 19 + 11. What is the remainder when 84 is divided by b? 24 Let u = -22 - -40. Let y = -436 - -523. Calculate the remainder when y is divided by u. 15 Suppose 270 = 3*o + 3*o. Let i = -24 + o. Suppose -3*n - 2*f = -14, 0 = -2*f - 2*f - 20. Calculate the remainder when i is divided by n. 5 Let w(a) = -a**3 - a**2 - a. Let q(b) = b + 4. Let x be q(-5). Suppose 0 = -g + 1 + 1. What is the remainder when g is divided by w(x)? 0 Let j be 126/3 + 2/(-2). Let l = 88 - j. Suppose 24*o = -d + 27*o, 0 = -2*o + 8. Calculate the remainder when l is divided by d. 11 Let d = -92 - -136. Calculate the remainder when d is divided by 4. 0 Let l = 88 + -172. Let p = -48 - l. Calculate the remainder when p is divided by 13. 10 Let o(n) = 3*n**2 + 8*n + 7. Suppose -t - 4*c + 24 = -c, -4*c = -8. What is the remainder when o(-6) is divided by t? 13 Suppose -30 = 5*v + 15. What is the remainder when 174 is divided by (v/(-6))/((-6)/(-176))? 42 Let g = 1091 + -1048. Suppose -82 = -y + r, r + 3*r = -4*y + 320. Calculate the remainder when y is divided by g. 38 Let f(c) = -4*c. Let a = -24 - -50. Suppose 5*z + 1 = a. What is the remainder when f(-3) is divided by z? 2 Suppose 0*w + 3*w + 2*s = 26, 0 = -4*w - 2*s + 32. Suppose 3*d - w*d + 170 = -p, -2*p + 45 = d. Calculate the remainder when d is divided by (38/(-4))/((-2)/4). 17 Suppose -6*y + 7*y - 227 = 0. Calculate the remainder when y is divided by 5*27/(-45) - 7*-7. 43 Suppose -154 = -2*l - 2*u, l - 17*u - 57 = -13*u. What is the remainder when 727 is divided by l? 70 Let m(l) = l**3 - 4*l**2 - 9*l - 2. What is the remainder when m(6) is divided by 6? 4 Suppose 8*m - 11*m = 0. Suppose m = r + 2*r - 3. Calculate the remainder when 2 is divided by r. 0 Let g(q) = 2*q**3 + q**2 + 3*q - 6. Let b be g(4). Suppose -4*i = -i. Suppose -5*n + b = -i*n. Calculate the remainder when n is divided by 16. 14 Let h(o) = -o**3 + 13*o + 16. Calculate the remainder when h(-5) is divided by 4 + (1 - 3*-12). 35 Suppose 0 = m - k - 63, -3*m - 2*m = 5*k - 285. What is the remainder when 177 is divided by m? 57 Suppose -9*t + 323 = -721. What is the remainder when t is divided by 35? 11 Let l = 76 - 51. Calculate the remainder when (0 + 6)*l/10 is divided by 6. 3 Suppose 4*m - 148 = 3*l + l, 3*l = 2*m - 78. What is the remainder when 193 is divided by m? 28 Let b = -2316 - -2335. Calculate the remainder when 43 is divided by b. 5 Let w = -5 - -24. Suppose -13*r + w*r = 186. Calculate the remainder when r is divided by 16 + 1 - (0 + 0). 14 Suppose z = 2*z - 24. Suppose 0 = 3*o - 5*o + 654. Let s = o + -233. Calculate the remainder when s is divided by z. 22 Suppose 0 = 207*k - 218*k + 1562. Calculate the remainder when 1417 is divided by k. 139 Suppose 0 = 14*w - 278 - 1164. Suppose -107*q + w*q + 648 = 0. Calculate the remainder when q is divided by 33. 30 Let z = -126 + 79. Let m = z + 100. Calculate the remainder when m is divided by 14. 11 Let u = -27 + 63. Suppose -3*w + 5*j = -35, -4*w + 2*j - 6*j = -4. What is the remainder when w is divided by -1*(-8)/u - 32/(-18)? 1 Let y = -365 - -432. What is the remainder when y is divided by 7? 4 Let g be (-2)/(-2)*(3 + -1). What is the remainder when 24 is divided by (g + 1)*30/18? 4 Let u(t) = -t - 3. Let x be u(-6). Calculate the remainder when 25/2 + x/6 is divided by 5. 3 Let v(x) = 19*x - 60. Let y be (2 + 2 - 2) + 5. Calculate the remainder when v(6) is divided by y*(4 - 4/2). 12 Suppose -90 + 365 = 5*m. Suppose 0 = -w - w - 5*f + m, 5*w - 4*f - 88 = 0. Calculate the remainder when 38 is divided by w. 18 Let w = -1725 + 3278. Calculate the remainder when w is divided by 21. 20 Calculate the remainder when 8*(2 - (-39)/(-24)) is divided by 3. 0 Suppose -15*v + 135 = -10*v. Let n be v*(40/(-6))/5. Let z = n + 54. Calculate the remainder when z is divided by 10. 8 Suppose -4*n - 4*k + 608 = 0, n - 4*k + 16 = 173. Calculate the remainder when n is divided by 44. 21 Suppose 0 = -4*u + 4 + 4. Suppose u*z + p - 36 = 0, 4 = -z + 8*p - 3*p. What is the remainder when 29 is divided by z? 13 Suppose -509 = -3*l - y, -5*l + y + 1023 = 188. What is the remainder when l is divided by 13? 12 Let n(m) = -m**2 - 11*m + 2. Let c = -601 - -678. What is the remainder when c is divided by n(-9)? 17 Suppose 0 = -2*g + g - 7. Let t(h) = h**2 + 5*h - 6. What is the remainder when (1 - (0 + 6)) + 44 is divided by t(g)? 7 Let s(k) = k**2 - 3*k - 4. Let v(x) = -7*x - 1. What is the remainder when v(-4) is divided by s(-3)? 13 Let g be (-3094)/(-21) - (-2)/3. Let d = g - 76. Let x = d - 49. What is the remainder when x is divided by 12? 11 Let c(i) = -i**3 - 9*i**2 + 19*i - 10. Let f(z) = 3*z**2 + 5*z - 10. Calculate the remainder when f(-6) is divided by c(-11). 22 Let w = 282 + -249. Calculate the remainder when 94 is divided by w. 28 Let r(a) = -8*a**2 + 374*a + 96. What is the remainder when r(47) is divided by (10/(-4) - -2)*-2? 0 Suppose -5*m = -10*m - h + 315, 5*m + 5*h = 315. What is the remainder when 2/4 + m/2 is divided by 132/18*(-3)/(-2)? 10 Let q = 156 - 137. Calculate the remainder when 94 is divided by q. 18 Let h(f) = 17*f**2 - f**3 + 3 - 3*f - 34*f**2 + 22*f**2. Calculate the remainder when 20 is divided by h(4). 6 Suppose -88*m = -78*m - 310. Calculate the remainder when 123 is divided by m. 30 Suppose -113 = -6*g + 121. Suppose -3*v + 0*v + u = -25, -5*v = -3*u - g. What is the remainder when 23 is divided by v? 5 Let u(k) = k**3 - k**2 - k + 3. Let o be u(0). Suppose 5*q + 92 = z, o*z + 256 = 6*z + 5*q. Calculate the remainder when z is divided by 30. 27 Suppose -2*o = l - o - 82, -246 = -3*l - 5*o
{ "pile_set_name": "DM Mathematics" }
er of 1/5, to the nearest integer? 10 What is 16137714 to the power of 1/2, to the nearest integer? 4017 What is the square root of 2379131 to the nearest integer? 1542 What is the third root of 13704511 to the nearest integer? 239 What is 453971 to the power of 1/2, to the nearest integer? 674 What is the cube root of 17416068 to the nearest integer? 259 What is the square root of 1716192 to the nearest integer? 1310 What is the cube root of 1350201 to the nearest integer? 111 What is 1608658 to the power of 1/10, to the nearest integer? 4 What is 1165198 to the power of 1/2, to the nearest integer? 1079 What is the third root of 67600 to the nearest integer? 41 What is the square root of 216490 to the nearest integer? 465 What is the third root of 1301202 to the nearest integer? 109 What is 3071843 to the power of 1/2, to the nearest integer? 1753 What is 12478963 to the power of 1/2, to the nearest integer? 3533 What is the square root of 431414 to the nearest integer? 657 What is the cube root of 5541909 to the nearest integer? 177 What is 304806 to the power of 1/2, to the nearest integer? 552 What is the square root of 364456 to the nearest integer? 604 What is 704453 to the power of 1/10, to the nearest integer? 4 What is the third root of 518613 to the nearest integer? 80 What is the sixth root of 690175 to the nearest integer? 9 What is 461299 to the power of 1/2, to the nearest integer? 679 What is the tenth root of 683623 to the nearest integer? 4 What is 507200 to the power of 1/2, to the nearest integer? 712 What is 3545 to the power of 1/9, to the nearest integer? 2 What is the eighth root of 367658 to the nearest integer? 5 What is 354679 to the power of 1/6, to the nearest integer? 8 What is the third root of 268977 to the nearest integer? 65 What is the cube root of 50824 to the nearest integer? 37 What is 2081312 to the power of 1/2, to the nearest integer? 1443 What is 593360 to the power of 1/8, to the nearest integer? 5 What is the third root of 12317421 to the nearest integer? 231 What is the square root of 94331 to the nearest integer? 307 What is 417743 to the power of 1/3, to the nearest integer? 75 What is 3278661 to the power of 1/3, to the nearest integer? 149 What is the ninth root of 1439325 to the nearest integer? 5 What is the cube root of 322833 to the nearest integer? 69 What is the third root of 174962 to the nearest integer? 56 What is 9607715 to the power of 1/7, to the nearest integer? 10 What is the tenth root of 322392 to the nearest integer? 4 What is 17380 to the power of 1/7, to the nearest integer? 4 What is the fifth root of 58699 to the nearest integer? 9 What is the seventh root of 74312 to the nearest integer? 5 What is the fifth root of 421571 to the nearest integer? 13 What is 642683 to the power of 1/3, to the nearest integer? 86 What is 640444 to the power of 1/5, to the nearest integer? 14 What is the square root of 2078026 to the nearest integer? 1442 What is the third root of 13649909 to the nearest integer? 239 What is 13489666 to the power of 1/7, to the nearest integer? 10 What is the cube root of 472364 to the nearest integer? 78 What is the fourth root of 20786055 to the nearest integer? 68 What is 15014991 to the power of 1/2, to the nearest integer? 3875 What is 3999317 to the power of 1/8, to the nearest integer? 7 What is the square root of 2304461 to the nearest integer? 1518 What is 1939774 to the power of 1/8, to the nearest integer? 6 What is 266823 to the power of 1/3, to the nearest integer? 64 What is 9554589 to the power of 1/8, to the nearest integer? 7 What is the cube root of 280868 to the nearest integer? 65 What is the third root of 2821134 to the nearest integer? 141 What is 1773312 to the power of 1/6, to the nearest integer? 11 What is 49482 to the power of 1/2, to the nearest integer? 222 What is 12677785 to the power of 1/2, to the nearest integer? 3561 What is 376353 to the power of 1/2, to the nearest integer? 613 What is the cube root of 1886258 to the nearest integer? 124 What is 79908 to the power of 1/2, to the nearest integer? 283 What is the cube root of 114119 to the nearest integer? 49 What is 1116222 to the power of 1/10, to the nearest integer? 4 What is 702615 to the power of 1/2, to the nearest integer? 838 What is the cube root of 3797146 to the nearest integer? 156 What is 16114892 to the power of 1/10, to the nearest integer? 5 What is 26709075 to the power of 1/2, to the nearest integer? 5168 What is 440453 to the power of 1/3, to the nearest integer? 76 What is 7409730 to the power of 1/2, to the nearest integer? 2722 What is the seventh root of 4439523 to the nearest integer? 9 What is the third root of 459035 to the nearest integer? 77 What is the third root of 1022857 to the nearest integer? 101 What is the fourth root of 132418 to the nearest integer? 19 What is 19728756 to the power of 1/7, to the nearest integer? 11 What is the third root of 172216 to the nearest integer? 56 What is the third root of 458218 to the nearest integer? 77 What is the third root of 6779158 to the nearest integer? 189 What is 25929967 to the power of 1/2, to the nearest integer? 5092 What is 563438 to the power of 1/3, to the nearest integer? 83 What is the cube root of 39684280 to the nearest integer? 341 What is 10167636 to the power of 1/2, to the nearest integer? 3189 What is 572885 to the power of 1/2, to the nearest integer? 757 What is the square root of 4471934 to the nearest integer? 2115 What is 75723 to the power of 1/4, to the nearest integer? 17 What is the third root of 953241 to the nearest integer? 98 What is the square root of 824838 to the nearest integer? 908 What is the fifth root of 2913171 to the nearest integer? 20 What is 24167839 to the power of 1/3, to the nearest integer? 289 What is the sixth root of 207902 to the nearest integer? 8 What is the square root of 15545854 to the nearest integer? 3943 What is the third root of 13094 to the nearest integer? 24 What is 640008 to the power of 1/2, to the nearest integer? 800 What is the square root of 19033831 to the nearest integer? 4363 What is 88430 to the power of 1/3, to the nearest integer? 45 What is the fourth root of 115508 to the nearest integer? 18 What is the fourth root of 1747207 to the nearest integer? 36 What is the square root of 9725701 to the nearest integer? 3119 What is 3315602 to the power of 1/2, to the nearest integer? 1821 What is 3114639 to the power of 1/3, to the nearest integer? 146 What is the square root of 2738743 to the nearest integer? 1655 What is the sixth root of 144818 to the nearest integer? 7 What is 477802 to the power of 1/2, to the nearest integer? 691 What is 367443 to the power of 1/3, to the nearest integer? 72 What is 490050 to the power of 1/7, to the nearest integer? 6 What is 9372960 to the power of 1/2, to the nearest integer? 3062 What is the seventh root of 1632338 to the nearest integer? 8 What is the cube root of 5452437 to the nearest integer? 176 What is the third root of 73358 to the nearest integer? 42 What is 6376080 to the power of 1/2, to the nearest integer? 2525 What is the square root of 28531836 to the nearest integer? 5342 What is the sixth root of 6958466 to the nearest integer? 14 What is the cube root of 1114091 to the nearest integer? 104 What is 18324944 to the power of 1/3, to the nearest integer? 264 What is the cube root of 20814195 to the nearest integer? 275 What is the square root of 7781422 to the nearest integer? 2790 What is 3474957 to the power of 1/2, to the nearest integer? 1864 What is 374229 to the power of 1/7, to the nearest integer? 6 What is the seventh root of 1406281 to the nearest integer? 8 What is the eighth root of 9989369 to the nearest integer? 7 What is the cube root of 4235419 to the nearest integer? 162 What is 1710498 to the power of 1/2, to the nearest integer? 1308 What is 787643 to the power of 1/2, to the nearest integer? 887 What is 612506 to the power of 1/3, to the nearest integer? 85 What is 241116 to the power of 1/3, to the nearest integer? 62 What is 8672711 to the power of 1/2, to the nearest integer? 2945 What is 2269990 to the power of 1/7, to the nearest integer? 8 What is
{ "pile_set_name": "DM Mathematics" }
27) + -1 + sqrt(27)) - sqrt(27) - sqrt(27))**2))*-6. -1488 + 90*sqrt(3) Simplify (-2*sqrt(1980) - sqrt(1980))/sqrt(5) - (sqrt(22)/sqrt(2)*2 + 4). -20*sqrt(11) - 4 Simplify (-4*(-4 + sqrt(8)*-3) + -2)**2. 672*sqrt(2) + 1348 Simplify ((sqrt(30) - -6*sqrt(30)*-2) + sqrt(30))/(-3*sqrt(10)*-1) + 5. -10*sqrt(3)/3 + 5 Simplify -3 + ((0 + sqrt(343) + sqrt(567) + 3 + sqrt(567))*-5)**2. 3750*sqrt(7) + 109597 Simplify ((5 + ((sqrt(200) - sqrt(200)*2) + 2 - (sqrt(200) - (-2 + sqrt(200))*-5)))*-4)**2. -38080*sqrt(2) + 161424 Simplify (2*((sqrt(336)*-3)/sqrt(8))/(sqrt(6) - (sqrt(36) + sqrt(144))/sqrt(6)))**2. 63 Simplify ((sqrt(77)*1 + sqrt(77) + sqrt(77) + sqrt(77) - sqrt(77))*-4*1)/(sqrt(42)/(sqrt(96)*6)). -288*sqrt(11) Simplify ((sqrt(57) + (sqrt(57) + sqrt(114)/sqrt(2) - sqrt(57))*2)/(sqrt(6)/sqrt(2)*-3)*-3 + 0)**2. 171 Simplify -5*(sqrt(171) + (sqrt(171)*2 - sqrt(171))*-5)/(sqrt(9) + sqrt(9) + -6*-1*sqrt(9)) + -4. -4 + 5*sqrt(19)/2 Simplify ((sqrt(504) - sqrt(504)*4)/sqrt(12) - sqrt(42))/(-1*sqrt(600)). 2*sqrt(7)/5 Simplify ((sqrt(105)*1)/sqrt(7))/(-1*-1*sqrt(3)) + 1. 1 + sqrt(5) Simplify ((-4*(sqrt(170) - (sqrt(170)*-1 - sqrt(170))))/sqrt(10))**2 + (1*-2*sqrt(17) - sqrt(17)*-1*1). -sqrt(17) + 2448 Simplify 3 + ((2*-2*sqrt(171) + sqrt(171))/(sqrt(72)/sqrt(8)*-5))**2. 246/25 Simplify (4 + sqrt(180) - (sqrt(60)/sqrt(3) + -5)) + 2. 4*sqrt(5) + 11 Simplify ((-1*sqrt(77) + sqrt(77))*-2*-4)/(1*sqrt(1100) - (sqrt(11) + sqrt(1100)*-1 + sqrt(1100) - sqrt(11))). 0 Simplify 1 + (2*(sqrt(304) + 2) - sqrt(304))**2 + 2. 32*sqrt(19) + 323 Simplify 2*(((-3 + (2*sqrt(833) - sqrt(833)))*-5)**2 - (-3 + (sqrt(833) + -1)**2 + sqrt(833) + -6*sqrt(833)*-2)). -2254*sqrt(17) + 40438 Simplify -1*(5 + sqrt(832)*6 - (sqrt(832) + (sqrt(832) - ((-4*sqrt(832) - sqrt(832))*2 + sqrt(832))))). -5 + 40*sqrt(13) Simplify 5 + (1 + 3 + 1 + sqrt(2448))**2*-2. -4941 - 240*sqrt(17) Simplify (sqrt(6) + (3*sqrt(30))/sqrt(5))/(sqrt(500)/sqrt(10)). 4*sqrt(3)/5 Simplify (-4*sqrt(112)/sqrt(8))/sqrt(2) - (sqrt(112)/sqrt(4) + -2). -6*sqrt(7) + 2 Simplify (sqrt(480)*1 + sqrt(480) - sqrt(30))/(-2*sqrt(90)). -7*sqrt(3)/6 Simplify (0 + (sqrt(36)/(sqrt(2)*-2 - sqrt(2)))/(sqrt(6) + sqrt(24)/(sqrt(20)/sqrt(5))))**2. 1/12 Simplify (0 + (sqrt(9)/sqrt(3))**2)*1 + (sqrt(363)*-2)**2 + -4. 1451 Simplify (-2*(2*-2*sqrt(605) + -5 + -5))**2. 3520*sqrt(5) + 39120 Simplify (-5*sqrt(228)*3)/(sqrt(432)*-1 + sqrt(12) + sqrt(12)). 15*sqrt(19)/4 Simplify (sqrt(44)/(5*(-2*sqrt(2) - sqrt(2))))/(sqrt(704) - sqrt(704)*-2*2). -sqrt(2)/600 Simplify (-2*(sqrt(121) + 2*(2*sqrt(121) + sqrt(121))))/(-2*sqrt(176) - (sqrt(176)/sqrt(4))/sqrt(4)). 14*sqrt(11)/9 Simplify ((sqrt(80) - (-2*sqrt(80) + sqrt(80)))/sqrt(8))/(-3*sqrt(80)). -sqrt(2)/6 Simplify (sqrt(660)/(-1*sqrt(11) - sqrt(11))*-5)/(6*-3*sqrt(192)). -5*sqrt(5)/144 Simplify (-4*(sqrt(1862) + sqrt(1862)*-1 + sqrt(1862)))/(-3*(1*sqrt(4))/sqrt(2)). 28*sqrt(19)/3 Simplify (6*((sqrt(156)/sqrt(3))/sqrt(4) - (sqrt(26)*2)/sqrt(2))*6)**2. 16848 Simplify -2 + (2 + sqrt(68) + 1)**2 + 0 + sqrt(833) + -1. 74 + 19*sqrt(17) Simplify ((-2*sqrt(80))**2 + sqrt(5))*2 + (sqrt(5) + -1)*2*-5. -8*sqrt(5) + 650 Simplify ((sqrt(200) + (sqrt(200) - -1*sqrt(200)))/sqrt(8))/(3*sqrt(125)) + 5. sqrt(5)/5 + 5 Simplify (-4 + -2 + sqrt(567) - sqrt(567))**2 - (3 + sqrt(567))*1. -9*sqrt(7) + 33 Simplify (-4*1*(sqrt(190) - -1*sqrt(190)))/(sqrt(10) + (sqrt(10) - (sqrt(80)/(sqrt(8)*2) - sqrt(10))) - 1*2*sqrt(10)). -16*sqrt(19) Simplify (5 + (-1*sqrt(96)*-5 + sqrt(96))/(sqrt(192) - -5*sqrt(192)*-2))**2. -10*sqrt(2)/3 + 227/9 Simplify ((1*sqrt(240)*-1 + sqrt(240))/sqrt(6))/(sqrt(16)/(-1*sqrt(2) - sqrt(2)) - sqrt(8)*-1*1). 0 Simplify (-1*(sqrt(209)*1 + sqrt(209)))/sqrt(11) + 1 + sqrt(19) + (sqrt(171)*-1 - sqrt(171)). -7*sqrt(19) + 1 Simplify (sqrt(170)/(3*(sqrt(10) + sqrt(50)/sqrt(5))) - ((sqrt(17) + sqrt(17)*2*4)**2 + 4*sqrt(272)))*-2. 95*sqrt(17)/3 + 2754 Simplify (-4*(-4 + -1*sqrt(68) - (sqrt(68) + 0 + sqrt(68) + sqrt(68) + 2))*5*-3)**2. 345600*sqrt(17) + 4046400 Simplify -3 + -1*-6*((sqrt(832)*-2 + sqrt(832) + -4)**2 + 5). 384*sqrt(13) + 5115 Simplify -1 + ((sqrt(162) + 1)**2 - (sqrt(128)*-2)**2) + -3. -353 + 18*sqrt(2) Simplify (sqrt(22) + sqrt(22) + (sqrt(88) - -2*sqrt(88)) + sqrt(22))/(sqrt(16)/(sqrt(8) + sqrt(40)/sqrt(5))). 18*sqrt(11) Simplify (sqrt(12)/(sqrt(24)/sqrt(4)) - (sqrt(2) + sqrt(4)/(sqrt(10)/sqrt(5))) - sqrt(216)/(sqrt(48)/sqrt(4))) + 3. -4*sqrt(2) + 3 Simplify (sqrt(72)*1*4)/(sqrt(36)*1) + 4. 4 + 4*sqrt(2) Simplify (sqrt(90)/sqrt(5))**2*-3 + ((sqrt(242) + 1 + sqrt(242))*-3)**2. 396*sqrt(2) + 8667 Simplify -5*((sqrt(1331) + 2)*4 - sqrt(1331)) - 3*(sqrt(1331) + 1 + -4). -198*sqrt(11) - 31 Simplify -4 + sqrt(209)/(1*sqrt(11)) + ((-1 + sqrt(76))*5)**2. -99*sqrt(19) + 1921 Simplify (sqrt(1008) + -2)*-1 - sqrt(1008) - ((2*sqrt(21))/sqrt(3) + 4 + sqrt(7) + sqrt(7) + 2). -28*sqrt(7) - 4 Simplify 1 + ((0 + sqrt(1300))*1 + sqrt(1300) - sqrt(1300) - sqrt(1300) - sqrt(1300) - (0 + sqrt(1300) + 2))**2. 80*sqrt(13) + 5205 Simplify -4*-5*((sqrt(72) - (sqrt(72) - 1*sqrt(72)))*5)/(sqrt(36)*-6). -50*sqrt(2)/3 Simplify (sqrt(209)*-1*4*2)/(sqrt(77)/(2*sqrt(7)*5 - sqrt(7))) + 5. -72*sqrt(19) + 5 Simplify -6*sqrt(7)*2 + sqrt(42)/(sqrt(6) + sqrt(150)) + -3 + (sqrt(7) + 2)*3. -53*sqrt(7)/6 + 3 Simplify -4 + (-6*(-5 + sqrt(1900) + 1) + 3 + sqrt(1900)*2 + sqrt(1900) + -5)**2. -1320*sqrt(19) + 17580 Simplify (sqrt(228) + 6*(sqrt(228) + 1*sqrt(228)) + (sqrt(228) + sqrt(228) + 1*sqrt(228) + sqrt(228))*5)/((sqrt(12) + 2*sqrt(300) + sqrt(300))*-4). -33*sqrt(19)/64 Simplify (sqrt(280)/sqrt(32)*2)/(1*sqrt(5)*6 - sqrt(40)/(sqrt(24)/sqrt(3))). sqrt(7)/5 Simplify -2*sqrt(48) + 4*-1*sqrt(3) + sqrt(3)*1 + 1 + sqrt(84)/sqrt(7). -9*sqrt(3) + 1 Simplify (0 + (sqrt(63) - sqrt(567)*-2 - sqrt(63))/(-6*sqrt(9)*2)*-6 + 4)**2. 24*sqrt(7) + 79 Simplify (sqrt(190)/sqrt(125))/(sqrt(14)/(sqrt(21)/sqrt(3) + sqrt(7) - sqrt(7))). sqrt(19)/5 Simplify (-4*-6*4*(sqrt(1900) - (sqrt(1900) + sqrt(1900) + -2)))**2*2. -737280*sqrt(19) + 35094528 Simplify ((1*sqrt(17))**2*4 - sqrt(2448)*-2) + (3*sqrt(153)*-2)**2 + 5. 24*sqrt(17) + 5581 Simplify 3*(-5*(sqrt(91) - sqrt(91)*-1)*1)/(sqrt(21)/(2*sqrt(12))). -120*sqrt(13) Simplify ((sqrt(156) + (sqrt(156) - (sqrt(156) + (1*sqrt(156)*2 - sqrt(156)) - sqrt(156))))/sqrt(12)*-2)**2 + -4. 48 Simplify ((sqrt(30) - sqrt(1470)*4) + sqrt(30))/(sqrt(1210)*-2 + sqrt(1210)). 26*sqrt(3)/11 Simplify (sqrt(121)*-2*4 + 5*-2*sqrt(121))/(-4*(2*sqrt(77) - sqrt(77))/sqrt(7)). 9*sqrt(11)/2 Simplify 4*-4*-1*sqrt(7) + (sqrt(847)*2 + 4 - sqrt(847)). 4 + 27*sqrt(7) Simplify (-1 + sqrt(468)*2 + -1 + -2 + -1)**2. -120*sqrt(13) + 1897 Simplify 2 + ((sqrt(1900) + 0 + -4)**2*6 - (2 + sqrt(1900) + -1 - (-5 + -2*sqrt(1900)))**2). -5638 - 840*sqrt(19) Simplify sqrt(1100) + (sqrt(1100) + -1 + 2 - sqrt(1100)) - (sqrt(66)/sqrt(6)*-2 + sqrt(11) + -3). 4 + 11*sqrt(11) Simplify (4*(sqrt(1573) + sqrt(1573) + (sqrt(1573)*1 - sqrt(1573))) - (1*sqrt(1573) + -5)) + -4 + (0 + sqrt(1573))**2 + 5*sqrt(1573)*1. 132*sqrt(13) + 1574 Simplify ((sqrt(192)*-1*-5 - sqrt(192))/sqrt(8))/(6*sqrt(384)/sqrt(3)). sqrt(3)/6 Simplify (sqrt(1300) - (sqrt(1300) + -1))*-6 - ((sqrt(104)/(sqrt(80)/sqrt(10)))**2 + sqrt(13))*-1. sqrt(13) + 7 Simplify (sqrt(1216)*2 + -2 + 5)**2*-3. -14619 - 288*sqrt(19) Simplify -3 + 1*(-2 + sqrt(15)/sqrt(3) - sqrt(5))*-4. 5 Simplify (((sqrt(76) - (1 + sqrt(76) + sqrt(76)))*-3 + sqrt(76) - 1*sqrt(76)*-1) + ((sqrt(76) + 1)*5 - sqrt(76) - -6*sqrt(76)*-2))**2. -96*sqrt(19) + 748 Simplify (6*sqrt(136)*-1)/(sqrt(512)*-3). sqrt(17)/4 Simplify (-2*sqrt(33)*5)/(-1*sqrt(176) - sqrt(11)) + 5*((0 + sqrt(3))*4 + -2*sqrt(6)/sqrt(2)). 12*sqrt(3) Simplify (-3 + ((-1*sqrt(200))**2 - sqrt(8)/sqrt(100)))*-5. -985 + sqrt(2) Simplify (0 + (sqrt(242) + -2 - (sqrt(2) + sqrt(100)/sqrt(2))))*-4. -20*sqrt(2) + 8 Simplify 3*(4 + (sqrt(57)/(sqrt(3) + sqrt(12)) - (sqrt(19) + sqrt(38)/(sqrt(2) - sqrt(2)*-2))**2) + -5 + 1 + 0 + sqrt(19)). -304/3 + 4*sqrt(19) Simplify (sqrt(1210) + 2*2*sqrt(1210))/((sqrt(180)*-2 + sqrt(180) - sqrt(180)) + sqrt(180) - sqrt(15)/sqrt(3)*1). -55*sqrt(2)/7 Simplify 4 + sqrt(208) + (1 + sqrt(325) + sqrt(325))**2 + sqrt(1872)*1 + 3. 36*sqrt(13) + 1308 Simplify ((2 + sqrt(425)*-1 + sqrt(425))*-5 + -1 + sqrt(425) + 6*-2*sqrt(425))**2. 1210*sqrt(17) + 5
{ "pile_set_name": "DM Mathematics" }
9, -1, 5? -1 What is the closest to 0 in 747, -4, 1? 1 Which is the nearest to 2/13? (a) 5 (b) -1 (c) -3/5 (d) 2/17 d Which is the nearest to 0? (a) 1.9 (b) 0.4 (c) -0.04 c What is the nearest to -122 in 3, -1, -4, 4? -4 What is the nearest to 1/2 in 0, -829, 3? 0 Which is the closest to -1? (a) 1 (b) 4 (c) -155 (d) 0 d What is the closest to 0.1 in -1/5, -0.29, 1, 1/7? 1/7 Which is the closest to 1? (a) -5/9 (b) -0.2 (c) 0 c Which is the nearest to -1? (a) -4 (b) -0.3 (c) 2/33 b Which is the closest to 14/3? (a) -4 (b) -46/5 (c) 5 c Which is the nearest to 2? (a) -0.4 (b) -0.5 (c) 0.15 c What is the nearest to -1 in 1, 0.4, -4/5, -4? -4/5 Which is the closest to 1? (a) 0 (b) -4 (c) 0.1 (d) 103 c What is the closest to -2/9 in -11.9, 2/15, 0.4? 2/15 Which is the nearest to 1/3? (a) -0.5 (b) -2/13 (c) 0.9 (d) 0.4 d What is the nearest to -1 in 111, -3, 0.1? 0.1 What is the closest to -1 in 1, 1.5, 2/11, 0.3? 2/11 What is the closest to -6/17 in -0.1, -1/6, 4, -0.09? -1/6 Which is the nearest to 1? (a) 2.2 (b) -2/17 (c) 14 b Which is the nearest to -1? (a) -1 (b) -4 (c) -46 a Which is the nearest to -2/5? (a) -2/11 (b) 41 (c) -0.2 (d) 6/29 c Which is the closest to -0.2? (a) -9 (b) -1/7 (c) 1 (d) 1/4 b Which is the nearest to -1? (a) -1 (b) -5 (c) -4 a What is the closest to 1 in -2/3, 3, -5/3? -2/3 What is the nearest to 2/5 in 1/2, 1/6, -1.2? 1/2 What is the closest to 2/3 in -1.4, -3, 5? -1.4 Which is the closest to -1? (a) 4 (b) 203 (c) 2 c Which is the nearest to 0.1? (a) 1/7 (b) -4 (c) -3 a What is the nearest to -0.03 in 3, -8, -0.1? -0.1 Which is the nearest to -0.3? (a) -0.8 (b) 0 (c) 1/7 (d) -3/7 d What is the closest to 2 in 2/5, -1.2, -1? 2/5 Which is the closest to 154? (a) -1/7 (b) 1 (c) -4 b Which is the closest to -1/4? (a) -4 (b) -11 (c) 0.4 (d) 1.1 c Which is the closest to 0? (a) -7 (b) 0.4 (c) 0.1 c What is the nearest to 1 in -0.03, -1/14, 1/8? 1/8 Which is the closest to 5/6? (a) -0.5 (b) -1 (c) 1/10 c Which is the closest to 0.3? (a) 3 (b) -2/15 (c) 2/9 c Which is the closest to -0.2? (a) -29.5 (b) 0 (c) -0.5 b What is the nearest to 0 in -3, 3/11, 4/9, 2? 3/11 Which is the nearest to 1/4? (a) -5/3 (b) -1/4 (c) 3 (d) -1/3 b What is the closest to 3 in -0.4, 0.3, 0.2, -11? 0.3 What is the nearest to 0 in -1/224, -1, 5? -1/224 What is the nearest to 0 in -0.1, -0.5, 0, 0.22? 0 What is the closest to 2/3 in -2/5, 0.3, -1/74, 4? 0.3 Which is the closest to 0? (a) 0 (b) -5/4 (c) -26/5 (d) -0.2 a Which is the nearest to 0? (a) 0.1 (b) 32 (c) -4 a Which is the nearest to 5? (a) 0 (b) 12 (c) -3/5 a What is the nearest to 0.2 in -2, 8/9, -4? 8/9 What is the closest to -1/20 in 3, -0.5, -1/6? -1/6 Which is the closest to 6/17? (a) -1/4 (b) 1 (c) -1/10 (d) 5 c What is the nearest to -2 in -0.2, 5.2, -1? -1 Which is the nearest to 2/7? (a) -3 (b) -1/4 (c) 3/7 c What is the nearest to -5/8 in -2, 3/8, 0, -0.1? -0.1 Which is the closest to -2? (a) -1/2 (b) 1 (c) 24 (d) -1/7 a What is the nearest to 0.09 in 6, -27, 5, 0.1? 0.1 What is the closest to -24/5 in 2/11, 1, -2/7? -2/7 Which is the nearest to -55? (a) -1/7 (b) -2/5 (c) 3 b What is the nearest to -0.4 in 1, -184, -4? 1 Which is the closest to -4/9? (a) -1/5 (b) 1/3 (c) 5 a Which is the closest to 1? (a) 2 (b) 4 (c) -0.4 (d) 1 d What is the nearest to 14 in 0.02, 0, 3, 5? 5 Which is the nearest to 2/3? (a) 4 (b) 1/2 (c) -20 b Which is the closest to -1.2? (a) -2/7 (b) -3 (c) 3 (d) 2/15 a What is the closest to -1/4 in 4/9, 2, -5? 4/9 Which is the closest to 12? (a) -7 (b) -2/3 (c) 0.2 c What is the closest to 2 in -0.0526, -3, -1? -0.0526 What is the nearest to 2/23 in 1, -1, -0.5, 2/15? 2/15 What is the nearest to 0.024 in 0, 0.5, 3/4? 0 Which is the nearest to 2? (a) 0.1 (b) -0.33 (c) 4 (d) 1 d Which is the closest to 0.1? (a) 1 (b) -4/33 (c) 3 (d) -4 b What is the nearest to 2/9 in 1/11, -0.2, 1/7, 2/23? 1/7 Which is the closest to 11/4? (a) -0.58 (b) 3 (c) 2/5 b What is the nearest to -2/19 in -9, 0.2, -0.2, -2/11? -2/11 Which is the nearest to 0? (a) -0.04 (b) -0.1 (c) 1/5 (d) 0.4 a Which is the nearest to 1? (a) -0.4 (b) -1 (c) 0.4 (d) -4.92 c Which is the nearest to 2? (a) 0 (b) -6/5 (c) -5 a What is the nearest to 4 in -3/2, 1/4, -4? 1/4 Which is the nearest to 2/9? (a) 63 (b) -1 (c) -4 b Which is the nearest to 2/51? (a) -0.04 (b) 1/4 (c) -1 (d) -1/5 a Which is the closest to 2? (a) 9 (b) 0.3 (c) 1 c Which is the nearest to 2? (a) 22 (b) -2/11 (c) -0.3 (d) -0.4 b What is the closest to 0.14 in -2, -1, -3, 0.2? 0.2 What is the nearest to -2/67 in 1/2, -2/9, 3? -2/9 Which is the closest to -40? (a) -1 (b) -4/5 (c) 4 (d) 6/11 a Which is the nearest to -3? (a) 2/7 (b) -30.3 (c) 0.03 c What is the closest to 2/9 in -65, 3, 0.3, -5? 0.3 Which is the closest to 5? (a) -2/3 (b) 3 (c) -0.07 (d) -2 b Which is the nearest to -2? (a) -1/4 (b) -12 (c) -6 a What is the closest to 2 in 0.16, -3, 1/4? 1/4 What is the closest to 1 in -5, -1/3, -0.2, -49? -0.2 What is the nearest to 4 in -1, -5, 1/7? 1/7 Which is the closest to 0.92? (a) -5 (b) -0.3 (c) 0.4 (d) 5 c What is the nearest to -2 in 0, 0.1, -4/3, 2/3? -4/3 Which is the nearest to 0? (a) -206 (b) 16 (c) 2/17 c Which is the closest to -0.1? (a) -3/8 (b) -8517 (c) 0 c Which is the nearest to 4/3? (a) 0.5 (b) 4 (c) -2 a What is the nearest to 0 in -0.1, -2, 35, 4? -0.1 What is the nearest to 0.1 in -14, -90, 3, 0.2? 0.2 What is the closest to 2/5 in -4, -0.1, 2, -2? -0.1 What is the nearest to 0 in -4, -1/7, 0.15? -1/7 Which is the closest to -149? (a) 5 (b) -12 (c) 0.3 b What is the nearest to 1 in 0, 1.5, -1/6? 1.5 What is the nearest to -7 in -2/5, 0.2, 17/4, -0.3? -2/5 Which is the closest to 2? (a) 0.03 (b) -0.1 (c) 0.2 (d) 0 c Which is the nearest to -0.1? (a) -60 (b) 3/5 (c) -11 b What is the nearest to -1.044 in -0.5, -0.1, 0? -0.5 Which is the nearest to -1/3? (a) 4 (b) -10/3 (c) -2/7 (d) -4/5 c Which is the closest to 1/5? (a) 7 (b) 1 (c) -4 b Which is the closest to -1/2? (a) -2/9 (b) 1.52 (c) 4/7 a Which is the closest to 12? (a) -0.3 (b) -0.4 (c) 2 (d) -2/3 c Which is the closest to -2? (a) 2/7 (b) 1 (c) 4 (d) 3 a What is the closest to -1 in -1/3, -0.4, 0.4, -1? -1 What is the nearest to -2 in 3, 2/5, 4? 2/5 What is the nearest to -0.2 in -0.12, 0.5, -3? -0.12 Which is the nearest to 0.1? (a) -2/17 (b) -3/5 (c) 0.7 a What is the closest to 1/3 in 0, -1, -235? 0 What is the closest to -1 in 3/28, -1/2, 5? -1/2 Which is the closest to 1? (a) 6 (b) 0.4 (c) -2/11 b Which is the closest to -0.6? (a) 2/5 (b) -2/7 (c) 1 b Which is the nearest to 3? (a) -1/5 (b) -2/11 (c) -10 b Which is the closest to -1? (a) 0.06 (b) 1/3 (c) 2/5 a Which is the closest to 0.2? (a) -2 (b) 49 (c) -2/11 c Which is the nearest to -2? (a) 0.4 (b) -3 (c) -0.3 (d) 28 b What is the closest to 0 in 2, 3/7, -1, -47? 3/7 What is the nearest to 0 in 5, 2, 2/7, -3/4? 2/7 Which is the closest to 0.1? (a) 0.11 (b) 4 (c) 96 a What is the nearest to 0.1 in -1/8, -6, -0.04? -0.04 What is the closest to -2 in 2, 5, 5/3? 5/3 What is the closest to 1 in -1, 0.1, 6, -5? 0.1 Which is the nearest to 0? (a) -1/7 (b) 5 (c) 1/3 (d) 0.1 d Which is the closest to -0.1? (a) 54/7 (b) -0.1 (c) -4 (d) 0.3 b Which is the closest to -2/15? (a) 2 (b) -11 (c) -0.5 c What is the nearest to -1 in -0.4, 2, -0.3? -0.4 Which is the nearest to -2/11? (a) -4 (b) -7 (c) -1/2 (d) -0.2 d What is the closest to 22 in -0.2, 1, 3, -3? 3 Which is the nearest to 3? (a) 2 (b) -2/9 (c) 0.5 a Which is the nearest to 2360? (a) 2 (b) -0.4 (c) 0.5 a Which is the nearest to 1? (a) 1054 (b) 1 (c) -3/5 b What is the closest to 1/2 in 13, 0, -3/2, 2/31? 2/31 Which is the closest to 0.1? (a) -2/9 (b) 4 (c) -0.12 c What is the nearest to -1 in 3, 25, -0.2, 0.3? -0.2 Which is the nearest to -2/5? (a) -23 (b) 54 (c) 4 (d) -0.1 d Which is the closest to 4? (a) 2/3 (b) 4 (c) 0.3 (d) -0.3 b What is the nearest to -3 in -0.1, 2/15, -3, -1/2? -3 Which is the nearest to 1? (a) 6 (b) -4.8 (c) -0.03 c What is the nearest to 6 in -8, -0.5, -
{ "pile_set_name": "DM Mathematics" }
- 26*b**2 - 3*b + 17 What is the i'th term of -91, -338, -751, -1330? -83*i**2 + 2*i - 10 What is the y'th term of -27, -33, -43, -57, -75? -2*y**2 - 25 What is the q'th term of 1885, 1880, 1875? -5*q + 1890 What is the b'th term of -18, -47, -88, -141, -206? -6*b**2 - 11*b - 1 What is the s'th term of 454, 456, 458? 2*s + 452 What is the l'th term of -51, -168, -393, -780, -1383? -9*l**3 - 54*l + 12 What is the t'th term of -13, -36, -61, -88, -117, -148? -t**2 - 20*t + 8 What is the j'th term of 180, 142, 86, 18, -56, -130, -198? j**3 - 15*j**2 + 194 What is the j'th term of -476, -488, -502, -518, -536? -j**2 - 9*j - 466 What is the t'th term of 1854, 1859, 1868, 1881? 2*t**2 - t + 1853 What is the x'th term of 1577, 1578, 1579? x + 1576 What is the z'th term of 84, 123, 222, 411, 720? 5*z**3 + 4*z + 75 What is the w'th term of -6, -44, -132, -294, -554? -4*w**3 - w**2 - 7*w + 6 What is the c'th term of -13, -27, -39, -49, -57? c**2 - 17*c + 3 What is the t'th term of -3019, -3013, -3007? 6*t - 3025 What is the t'th term of -2082, -2083, -2084, -2085? -t - 2081 What is the q'th term of 523, 524, 525, 526? q + 522 What is the s'th term of -738, -740, -742, -744, -746? -2*s - 736 What is the a'th term of 78, 82, 90, 102, 118, 138? 2*a**2 - 2*a + 78 What is the l'th term of -629, -630, -631, -632? -l - 628 What is the o'th term of 91, 124, 191, 310, 499, 776, 1159? 3*o**3 - o**2 + 15*o + 74 What is the w'th term of -607, -605, -603, -601, -599? 2*w - 609 What is the x'th term of -75, -86, -95, -96, -83? x**3 - 5*x**2 - 3*x - 68 What is the j'th term of -505, -488, -457, -406, -329, -220? j**3 + j**2 + 7*j - 514 What is the n'th term of 18, 4, -12, -30, -50, -72, -96? -n**2 - 11*n + 30 What is the b'th term of -3298, -6588, -9878, -13168, -16458? -3290*b - 8 What is the s'th term of 595, 594, 593, 592, 591, 590? -s + 596 What is the p'th term of 747, 754, 775, 816, 883, 982? p**3 + p**2 - 3*p + 748 What is the h'th term of 481, 494, 519, 562, 629? h**3 + 6*h + 474 What is the x'th term of 113, 229, 345, 461? 116*x - 3 What is the q'th term of -641, -636, -629, -620, -609, -596, -581? q**2 + 2*q - 644 What is the j'th term of 15, 31, 47? 16*j - 1 What is the i'th term of -24, -49, -52, -21, 56, 191? 2*i**3 - i**2 - 36*i + 11 What is the h'th term of 20, 93, 214, 383, 600, 865? 24*h**2 + h - 5 What is the k'th term of 132, 118, 106, 96, 88? k**2 - 17*k + 148 What is the x'th term of 30, 68, 126, 204, 302, 420? 10*x**2 + 8*x + 12 What is the i'th term of 17, 2, -23, -64, -127? -i**3 + i**2 - 11*i + 28 What is the l'th term of 181, 360, 539, 718? 179*l + 2 What is the m'th term of 150, 144, 134, 120, 102? -2*m**2 + 152 What is the x'th term of -60, -53, -60, -87, -140, -225, -348? -x**3 - x**2 + 17*x - 75 What is the o'th term of 697, 696, 693, 688, 681? -o**2 + 2*o + 696 What is the i'th term of 8, 15, 0, -49, -144? -2*i**3 + i**2 + 18*i - 9 What is the i'th term of -3, -5, -7? -2*i - 1 What is the t'th term of -46, -161, -338, -565, -830, -1121? 2*t**3 - 43*t**2 - 5 What is the c'th term of 310, 621, 932, 1243, 1554, 1865? 311*c - 1 What is the h'th term of -28, -17, -4, 11, 28, 47? h**2 + 8*h - 37 What is the y'th term of 103, 90, 65, 22, -45, -142? -y**3 - 6*y + 110 What is the m'th term of 2224, 2225, 2226? m + 2223 What is the f'th term of 109, 114, 131, 166, 225, 314? f**3 - 2*f + 110 What is the h'th term of 48, 95, 142, 189? 47*h + 1 What is the x'th term of -45, -90, -135, -180, -225? -45*x What is the n'th term of -9, -6, 15, 60, 135, 246, 399? n**3 + 3*n**2 - 13*n What is the w'th term of 9, 11, 7, -9, -43, -101, -189? -w**3 + 3*w**2 + 7 What is the t'th term of -881, -876, -859, -824, -765? t**3 - 2*t - 880 What is the s'th term of -198, -187, -174, -159? s**2 + 8*s - 207 What is the v'th term of 90, 174, 302, 468, 666? -v**3 + 28*v**2 + 7*v + 56 What is the p'th term of 3166, 3177, 3188, 3199, 3210, 3221? 11*p + 3155 What is the y'th term of -823, -822, -821, -820? y - 824 What is the s'th term of 3, 27, 73, 147, 255, 403? s**3 + 5*s**2 + 2*s - 5 What is the r'th term of 1178, 4705, 10584, 18815? 1176*r**2 - r + 3 What is the d'th term of -305, -568, -833, -1100, -1369, -1640, -1913? -d**2 - 260*d - 44 What is the v'th term of -6448, -6449, -6450, -6451? -v - 6447 What is the t'th term of -12, -7, 6, 33, 80, 153, 258, 401? t**3 - 2*t**2 + 4*t - 15 What is the c'th term of -307, -300, -297, -304, -327, -372, -445? -c**3 + 4*c**2 + 2*c - 312 What is the s'th term of 259, 512, 765, 1018, 1271? 253*s + 6 What is the t'th term of -87, -154, -223, -294, -367, -442, -519? -t**2 - 64*t - 22 What is the g'th term of 189, 180, 151, 90, -15, -176, -405? -2*g**3 + 2*g**2 - g + 190 What is the k'th term of 462, 472, 496, 540, 610, 712? k**3 + k**2 + 460 What is the g'th term of 218, 214, 210? -4*g + 222 What is the q'th term of -50, -81, -114, -149, -186, -225? -q**2 - 28*q - 21 What is the j'th term of -639, -2565, -5775, -10269, -16047, -23109? -642*j**2 + 3 What is the f'th term of 453, 1804, 4055, 7206, 11257, 16208, 22059? 450*f**2 + f + 2 What is the k'th term of 446, 895, 1344, 1793, 2242? 449*k - 3 What is the c'th term of 170, 186, 202, 218? 16*c + 154 What is the l'th term of -5664, -11329, -16994, -22659? -5665*l + 1 What is the m'th term of 162, 322, 482? 160*m + 2 What is the z'th term of 554, 550, 544, 536? -z**2 - z + 556 What is the j'th term of -53, -103, -157, -209, -253, -283, -293, -277? j**3 - 8*j**2 - 33*j - 13 What is the r'th term of 3, -43, -115, -225, -385, -607, -903? -2*r**3 - r**2 - 29*r + 35 What is the r'th term of 667, 2687, 6047, 10741, 16763? -r**3 + 676*r**2 - r - 7 What is the g'th term of -57, -54, -51, -48, -45, -42? 3*g - 60 What is the g'th term of 20, 47, 90, 149, 224, 315? 8*g**2 + 3*g + 9 What is the y'th term of 46, 100, 152, 202, 250, 296, 340? -y**2 + 57*y - 10 What is the l'th term of 39, 45, 51, 57? 6*l + 33 What is the p'th term of -333, -326, -317, -306, -293? p**2 + 4*p - 338 What is the s'th term of 15639, 15640, 15641, 15642? s + 15638 What is the f'th term of 0, 5, 14, 27, 44? 2*f**2 - f - 1 What is the n'th term of 199, 401, 603, 805, 1007? 202*n - 3 What is the k'th term of 1291, 1292, 1293, 1294, 1295, 1296? k + 1290 What is the t'th term of 14, 29, 56, 101, 170? t**3 + 8*t + 5 What is the g'th term of -70, -102, -150, -208, -270, -330? g**3 - 14*g**2 + 3*g - 60 What is the s'th term of 15458, 15457, 15456, 15455? -s + 15459 What is the f'th term of -71, -43, -1, 49, 101, 149? -f**3 + 13*f**2 - 4*f - 79 What is the t'th term of 57, 98, 133, 162, 185, 202? -3*t**2 + 50*t + 10 What is the c'th term of -17, -12, -3, 10, 27, 48, 73? 2*c**2 - c - 18 What is the r'th term of 24, 22, 18, 12, 4, -6? -r**2 + r + 24 What is the g'th term of -31, -203, -665, -1561, -3035, -5231? -24*g**3 - g**2 - g - 5 What is the t'th term of -7, 21, 95, 239, 477, 833, 1331, 1995? 4*t**3 - t**2 + 3*t - 13 What is the s'th term of -34, -67, -100? -33*s - 1 What is the x'th term of 57, 113, 165, 213, 257? -2*x**2 + 62*x - 3 What is the x'th term of -130, -144, -172, -220, -294, -400, -544? -x**3 - x**2 - 4*x - 124 What is the s'th term of 226, 210, 182, 142, 90, 26? -6*s**2 + 2*s + 230 What is the n'th term of 2311, 2313, 2315, 2317? 2*n + 2309 What is the r'th term of -11653, -11655, -11657? -2*r - 11651 What is the d'th term of -85, -172, -259, -346, -433, -520? -87*d + 2 What is the j'th term of -103, -130, -167, -208, -247? j**3 - 11*j**2 - j - 92 What is the a'th term of -72, -146, -220, -294, -368, -442? -74*a + 2 What is the o'th term of -6, -7, -14, -27, -46, -71? -3*o**2 + 8*o - 11 What is the o'th term of 14741, 14740, 14731, 14708, 14665, 14596, 14495, 14356? -o**3 + 2*o**2 + 14740 What is the s'th term of 52, 102, 152, 202, 252, 302? 50*s + 2 What is the w'th term of -8422, -8423, -8424, -8425, -8426, -8427? -w - 8421 What is the u'th term of -4434, -4435, -4438, -4443, -4450? -u**2 + 2*u - 4435 What is the i'th term of -33, -67, -101, -135? -34*i + 1 What is the z'th term of -121, -230, -331, -418, -485, -526, -535? z**3 - 2*z**2 - 110*z - 10 What is the q'th term of 28, 33, 48, 79, 132, 213, 328? q**3 - q**2 + q + 27 What is the n'th term of -130, -128, -126? 2*n - 132 What is the n'th term of 41, 84,
{ "pile_set_name": "DM Mathematics" }
/9 + 4/(-12). Suppose 0 = 9*w - c - 16. Factor w*f - 2/3 - 2*f**2 + 2/3*f**3. 2*(f - 1)**3/3 Let x(a) be the second derivative of a**4/36 + a**3/9 + a**2/6 - 8*a. Factor x(q). (q + 1)**2/3 Let o be (1 + 1/(-2))*1. Factor -1/2*m**2 + 1/2*m**4 + 0*m + o*m**3 - 1/2*m**5 + 0. -m**2*(m - 1)**2*(m + 1)/2 Let z(l) be the second derivative of l**4/21 + 2*l**3/7 + 4*l**2/7 - 9*l. Factor z(p). 4*(p + 1)*(p + 2)/7 Let w be -2 + (1 - -2) - -1. Suppose 0 = 2*j - 0*j - 2*a, 0 = 2*j - 3*a + w. Factor 4*t**3 + 2*t - j*t**4 - 2*t + 2*t + 2*t**3 - 6*t**2. -2*t*(t - 1)**3 Let i(r) = -r**4 + r**3 + r**2 + r - 1. Let d(z) = -4 + 20*z**3 + 4*z**4 + 16*z + 6*z**3 + 26*z**2 + 2*z**5 + 0*z**5. Let a(f) = -d(f) + 6*i(f). Factor a(k). -2*(k + 1)**5 Let n(g) be the first derivative of -1/2*g**4 - 3 + 1/3*g**3 + 0*g**2 + 0*g + 1/5*g**5. Suppose n(h) = 0. What is h? 0, 1 Let a(s) be the first derivative of -s**4 + 20*s**3/3 - 8*s**2 - 7. Find v, given that a(v) = 0. 0, 1, 4 Let o(c) = -2*c**3 - c**2 + c - 1. Let r be o(1). Let d be (-99)/(-15) + (r - 0). Determine j, given that -16/5*j - 8/5 + d*j**3 + 6/5*j**2 = 0. -2/3, 1 Let r = -8 + 13. Let 2*s**3 - 2*s + 0*s**3 - 2*s**r + 2*s**3 = 0. What is s? -1, 0, 1 Let h(l) be the third derivative of l**6/180 + l**5/45 + l**4/36 + 9*l**2. Let h(o) = 0. Calculate o. -1, 0 Let o(u) = -u**3 - u**2 - u + 1. Let r be o(1). Let l = 0 - r. Find c, given that c**5 + c - 1 + 2*c**l + c**4 + 5*c**3 + 0*c**4 - 7*c**3 - 2*c**4 = 0. -1, 1 Suppose 4*r + n = 12, 2*n + 0*n = -r + 3. Let -3*q**3 - q**r - 132*q**2 + 120*q**2 = 0. What is q? -3, 0 Suppose -i + 2 = i. Let t(x) = 4*x**3 - x + 1. Let z be t(i). Factor -25*o - z*o**3 + 25*o + 6*o**2 - 2. -2*(o - 1)**2*(2*o + 1) Let j(p) be the second derivative of -p**9/3780 + p**7/315 - p**5/30 - 7*p**4/12 - p. Let t(o) be the third derivative of j(o). Factor t(n). -4*(n - 1)**2*(n + 1)**2 Let h(s) be the second derivative of 2*s - 1/11*s**2 - 1/110*s**5 - 1/22*s**4 - 1/11*s**3 + 0. Suppose h(v) = 0. Calculate v. -1 Suppose -2*w = -w. Let g = 3 + w. Factor -2*l - l**2 + 3*l + g*l - 3*l. -l*(l - 1) Suppose 2*i - 4*p + 16 = 0, 5*i = -4*p + 9*p - 15. Find s, given that 1/4*s**3 - 1/4*s**i - 1/4*s + 1/4 = 0. -1, 1 Let i(p) be the second derivative of -p**5/40 + p**4/8 - p**2 + 7*p. Solve i(z) = 0. -1, 2 Let m(h) = 260*h**4 + 125*h**3 - 35. Let w(v) = 29*v**4 + 14*v**3 - 4. Let j(l) = -4*m(l) + 35*w(l). Suppose j(u) = 0. Calculate u. -2/5, 0 Let a = -481 + 481. Suppose a + 2/5*k + 4/5*k**2 + 2/5*k**3 = 0. What is k? -1, 0 Find k, given that -33*k + 6*k**4 + k**5 + 3*k**4 - 3*k**5 + k**5 + 46*k**2 + 9 - 30*k**3 = 0. 1, 3 Let g(l) be the second derivative of -l**9/30240 + l**8/5376 - l**7/2520 + l**6/2880 + l**4/4 + l. Let d(i) be the third derivative of g(i). Factor d(o). -o*(o - 1)**2*(2*o - 1)/4 Let d(b) be the third derivative of -b**6/480 + b**5/120 + 9*b**2. Factor d(n). -n**2*(n - 2)/4 Suppose -i = i - 24. Suppose 0 = -4*w - z + i, 5*w + 5*z - 38 = -8. Determine s so that -4*s**4 - 6*s**3 - s + 0*s**2 - s**5 - 4*s**w + 0*s**4 = 0. -1, 0 Factor -20/7*u**2 + 4/7*u**5 - 8/7*u + 4/7*u**4 + 0 - 12/7*u**3. 4*u*(u - 2)*(u + 1)**3/7 Let g = -6/35 + 47/70. Suppose 1/4*d**4 + 0 + 1/4*d**2 + 0*d - g*d**3 = 0. Calculate d. 0, 1 Let o = -29/56 - -9/14. Solve 0 - 1/8*k**2 - o*k = 0 for k. -1, 0 Let f(j) be the second derivative of -1/15*j**5 + 5/18*j**4 + 1/3*j**2 + 0 - 2/15*j**6 - 3*j - 5/126*j**7 + 1/2*j**3. What is s in f(s) = 0? -1, -2/5, 1 Let q = 23/28 + -4/7. Let n(a) be the first derivative of -3/4*a**2 - 3/4*a + 1 - q*a**3. What is p in n(p) = 0? -1 Let g(c) be the third derivative of -c**6/360 - c**5/90 - 6*c**2. Factor g(i). -i**2*(i + 2)/3 Factor 28/3*g - 2/3*g**2 - 98/3. -2*(g - 7)**2/3 Suppose -5*r = -2*o + 10, o + 1 = -3*r + 6. Factor 21*l**2 + 27*l**3 + 0*l**5 + 6*l + r*l + 3*l**5 + 15*l**4. 3*l*(l + 1)**3*(l + 2) Let q(d) be the third derivative of -d**7/210 - 7*d**6/360 - d**5/36 - d**4/72 - d**2. Solve q(s) = 0. -1, -1/3, 0 Let l(s) = -5*s**3 - 5*s**2 - 2*s + 2. Let c(r) = -15*r**3 - 15*r**2 - 7*r + 7. Let h(w) = -2*c(w) + 7*l(w). Factor h(o). -5*o**2*(o + 1) Let w(n) be the first derivative of 4*n**5/5 - 4*n**4 + 8*n**3 - 8*n**2 + 4*n + 23. Solve w(o) = 0 for o. 1 Let t be 442/208 + 2/(-16). Factor 4/9*u**4 + 10/9*u + 2/9 + 2*u**t + 14/9*u**3. 2*(u + 1)**3*(2*u + 1)/9 Let o = -109 + 439/4. Suppose -5/4*n**3 + o*n**4 + 1/2*n**2 + 0 + 0*n = 0. What is n? 0, 2/3, 1 Let z = -15 + 28. Suppose 2 = 5*x - z. Factor 0*o + 2/5*o**x + 0 + 2/5*o**5 + 0*o**2 + 4/5*o**4. 2*o**3*(o + 1)**2/5 Let h(z) be the first derivative of 42*z**4 + 51*z**3 - 33*z**2/2 - 18*z + 8. Solve h(s) = 0. -1, -2/7, 3/8 Let w be (-170)/(-33) + 68/11 + -6. Factor -w*g - 10/3*g**2 - 8/3 - 2/3*g**3. -2*(g + 1)*(g + 2)**2/3 Suppose -3*x + 11 = -4. Let d = x + -3. Factor t**2 + 8*t**3 + 2*t**5 + 0*t**d - t**2 + 8*t**4. 2*t**3*(t + 2)**2 Let f(a) be the second derivative of -a**6/60 - a**5/40 + a**4/24 + a**3/12 - 6*a. Suppose f(g) = 0. Calculate g. -1, 0, 1 Let d(m) = 2*m**3 + 2*m**2 - m. Let i be d(1). Suppose -5*b + 7 = -i. Suppose p**b + 6 + 3*p**2 + 3*p + p**2 - 8*p**2 = 0. Calculate p. -1, 2 Factor -r**3 + 2*r + 8*r**5 - 4*r**4 + 12*r**2 - r**3 + 7*r - 7*r**5. r*(r - 3)**2*(r + 1)**2 Suppose 0 = -4*f + t - 1, 2*t = t + 1. Let m(i) be the second derivative of -1/60*i**5 + 1/18*i**4 - i - 1/3*i**2 + f + 1/18*i**3. Factor m(n). -(n - 2)*(n - 1)*(n + 1)/3 Let d(f) be the third derivative of 0*f**4 + 0*f + 0 + 0*f**5 + 0*f**3 + 1/300*f**6 - 2*f**2. Determine q so that d(q) = 0. 0 Let d(w) = 6*w - 1. Let t be d(1). Let j(i) = -3*i - 6. Let z be j(-3). Factor 13 + y**3 - 3*y**4 + y**t - 13 - 2*y + z*y**2. y*(y - 2)*(y - 1)**2*(y + 1) Let k be (-14)/(-30) - 13/(-65). Let w(d) be the first derivative of k*d**3 - 1/2*d**2 - 3 - 2*d + 1/4*d**4. Factor w(s). (s - 1)*(s + 1)*(s + 2) Factor 0 + 0*b**4 + 1/3*b**3 - 1/6*b - 1/6*b**5 + 0*b**2. -b*(b - 1)**2*(b + 1)**2/6 Let r(c) = -c**4 - c**2. Let n(b) = 12*b**4 + 7*b**3 + 14*b**2 + b. Let q(v) = 4*n(v) + 36*r(v). Determine w, given that q(w) = 0. -1, -1/3, 0 Let y be ((-3)/5)/(1/(-5)). Let r(v) be the first derivative of -y - 40/9*v**3 - 4/3*v**2 - 25/6*v**4 + 0*v. Solve r(p) = 0 for p. -2/5, 0 Let p(k) = -k**3 + k. Let l(c) = 2*c**4 + 12*c**3 + 2*c**2 - 12*c - 4. Let m(x) = l(x) + 6*p(x). What is d in m(d) = 0? -2, -1, 1 Let j be (-2)/7*-7*1. Suppose 0 = 3*n + 2*y - 12, -n - n + 8 = -j*y. Factor 0*l + 3/2*l**n + 0*l**2 + 0 - 3*l**3. 3*l**3*(l - 2)/2 Let l(v) be the first derivative of v**9/9072 + v**8/2520 - v**7/2520 - v**6/540 - 2*v**3/3 + 6. Let k(w) be the third derivative of l(w). Solve k(g) = 0 for g. -2, -1, 0, 1 Let u(n) = -23*n**2 + 30*n + 37. Let j(r) = -8*r**2 + 10*r + 12. Let y(z) = -8*j(z) + 3*u(z). Factor y(p). -5*(p - 3)*(p + 1) Let w be (-6)/3*((-4)/(-8) - 2). Factor -2/13 + 2/13*o**w - 2/13*o + 2/13*o**2. 2*(o - 1)*(o + 1)**2/13 Suppose 9/2*k**4 + 3 - 25/2*k**3 + 25/2*k - 15/2*k**2 = 0. What is k? -1, -2/9, 1, 3 Let z(k) be the second derivative of -k**4/4 + k**3 + 9*k**2/2 - 6*k. Find l, given that z(l) = 0. -1, 3 Factor 6/5 + 3/5*g**3 - 9/5*g + 0*g**2. 3*(g - 1)**2*(g + 2)/5 Let y be 2/(9 + (2 - 3)). Find d, given that 0*d - y*d**5 - 1/4*d**2 + 1/4*d**4 + 1/4*d**3 + 0 = 0. -1, 0, 1 Let k be 4/(-4)*-3 - 3. Suppose k*b - 2 = -b. Find v such that -1/2*v**5 + 0 + 0*v**4 - 1/2*v + v**3 + 0*v**b = 0. -1, 0, 1 Let n be 0 + -1 - (2 - 5). Suppose -4*h + 17 - 1 = 0, f = n*h - 5. Factor -4*c**4 + 5/2*c**f + 2*c**5 - 1/2*c**2 + 0 + 0*c. c**2*(c - 1)*(2*c - 1)**2/2 Let w(b) be the first derivative of b**4/16 - b**3/3 + b**2/2 + 5. Factor w(v). v*(v - 2)**2/4 Suppose -2*a + a - 3*h = 6, 0 = 4*a + 4*h - 8. Suppose a = r + 3. Factor o**r + 1 + 2*o**3 - o**2 - 4*o**3 + o. -(o - 1)*(o + 1)**2 Let q(u) = u - 1. Let b(r) = -r**2 - 4*r + 8. Let k(x) = b(x) + 4*q(x). What is z in k(z) = 0? -2, 2 Let x = 6 - -2. Suppose -3*y = -2*f - x, -y - f + 0 = -6. Factor -t**4 + 4*t**4 - y*t**4 - t**3. -t**3*(t + 1) Factor 8/13*k**2 + 0 - 2/13*k**5 + 8/13*k**4 - 12/13*k**3 - 2/13*k. -2*k*(k - 1)**4/13 Let v be (-21 + 29)*(-2)/8*-1. Let z(x) be the first derivative of -14*x**4 + 4*x + 16/5*x**5 - v + 11*x**3 + 14*x**2. Factor z(t). (t - 2)**2*(4*t + 1)**2 Let i(w) be the second derivative of 0*w**3 - 1/4*w*
{ "pile_set_name": "DM Mathematics" }
7*h**2 Collect the terms in -g**2 + 0 - 1 + 3*g**2 - 22*g - 11. 2*g**2 - 22*g - 12 Collect the terms in -3*w + 2 + 3*w - 319*w**2 + 163*w**2. -156*w**2 + 2 Collect the terms in -24*v + 3 + 8*v + 7*v + 12*v. 3*v + 3 Collect the terms in -4206*i - 4195*i + 8403*i. 2*i Collect the terms in 2*v - 5*v - 19912*v**3 + 19828*v**3 + 3*v. -84*v**3 Collect the terms in 8866*n + 8847*n - 17661*n. 52*n Collect the terms in -4535*h + 9271*h + 9462*h - 1416*h. 12782*h Collect the terms in 192864*w**2 - 4*w**3 - 192864*w**2. -4*w**3 Collect the terms in 111*s - 41*s - 42*s. 28*s Collect the terms in 4*j**3 - j**2 + 7*j**3 + 8*j**2 - 9*j**2 - j**3. 10*j**3 - 2*j**2 Collect the terms in 137*t + 9 - 9. 137*t Collect the terms in -67*z**2 - 542494 + 542494. -67*z**2 Collect the terms in -1546*c - 580*c + 155*c - 963*c. -2934*c Collect the terms in 138*o**3 - 113*o**3 - 77*o + 77*o. 25*o**3 Collect the terms in -194*n**3 - 252*n**3 + 123*n**3 - 338*n**3. -661*n**3 Collect the terms in -1 + 2686187*j - 2686177*j + 1. 10*j Collect the terms in -178*m**3 - 113*m**3 + 11*m - 2*m**2 + 43*m**3 - 76*m**3. -324*m**3 - 2*m**2 + 11*m Collect the terms in 79*k**3 - 31*k**3 - 60*k**3. -12*k**3 Collect the terms in 4*f**3 + 9446*f - 4723*f - 4723*f + 3*f**2. 4*f**3 + 3*f**2 Collect the terms in -14936*r**2 - 3363*r**2 - 1397*r**2. -19696*r**2 Collect the terms in -2 - 122418*u + 8 - 6. -122418*u Collect the terms in 6 - 4 - 4*x + 2 - 4 + 160*x**3. 160*x**3 - 4*x Collect the terms in -102739194*q + q**2 + 102739194*q - 3*q**2. -2*q**2 Collect the terms in 5*j**3 - 3*j**3 - 5*j**3 - 1 + 3 + 17*j**3. 14*j**3 + 2 Collect the terms in 19*l + 21*l + 6*l - 15*l + 3*l. 34*l Collect the terms in -76*j**3 - 20*j**3 + 170*j**3 - 73*j**3. j**3 Collect the terms in 52694*w**3 - 4 - 52683*w**3 + 1 + 3. 11*w**3 Collect the terms in -137 - 108 - 29*s**3 + 24*s**3 + 219. -5*s**3 - 26 Collect the terms in 3*v + 6*v - 113*v**2 - 4*v - 6*v. -113*v**2 - v Collect the terms in 3363*n + 162*n - 914*n. 2611*n Collect the terms in 63*u**2 + 45*u - 94*u + 286*u**2 + 49*u. 349*u**2 Collect the terms in 2977*g**2 + 2957*g**2 - 5937*g**2. -3*g**2 Collect the terms in -391*z**3 + 1125*z**3 + 456*z**3. 1190*z**3 Collect the terms in -34631*d + 17320*d + 17307*d. -4*d Collect the terms in -2 - 14*l**3 + 2 - 7*l**3 - 2*l**3. -23*l**3 Collect the terms in -25*m + 3*m**3 + 66*m - 78*m - 20*m. 3*m**3 - 57*m Collect the terms in h**3 + 1200304*h**2 - 1200304*h**2. h**3 Collect the terms in 17*u**2 + 66*u**2 - 36*u**2. 47*u**2 Collect the terms in -83*u + 40*u + 21*u**2 - 71*u**2 + 49*u**2 + 43*u. -u**2 Collect the terms in -4 + 4420332*f + 4 - 4420238*f. 94*f Collect the terms in 2 - 16 + 4 - 46*z + 2. -46*z - 8 Collect the terms in -3061*c**3 - 2*c + 0*c + 2*c. -3061*c**3 Collect the terms in -96*t + 452*t - 177*t - 163*t. 16*t Collect the terms in 12*u - 3*u - 169*u**3 + 180*u**3. 11*u**3 + 9*u Collect the terms in 1505*w**3 + 1721*w**3 + 128*w**3. 3354*w**3 Collect the terms in 2 + 13959*c**2 - 13928*c**2 - 2. 31*c**2 Collect the terms in 11*n**2 - 36*n**2 - 19*n**2 - 14*n**2. -58*n**2 Collect the terms in 210*d**2 - 110*d**2 - 98*d**2 + 10 + 2*d - 2*d. 2*d**2 + 10 Collect the terms in 711624*j**2 - 355780*j**2 - 355844*j**2 + 2*j**3. 2*j**3 Collect the terms in 67*o + 59*o - 243*o + 43*o + 70*o. -4*o Collect the terms in -215 - 9*j**2 - 20 - 99. -9*j**2 - 334 Collect the terms in -7603*c - 7629*c + 15229*c. -3*c Collect the terms in 278*u**3 - 806*u**3 + 275*u**3 + 246*u**3 + 19. -7*u**3 + 19 Collect the terms in -9*z**2 + 6*z**2 - 4 + 6*z**2 + 6 + 0*z**2. 3*z**2 + 2 Collect the terms in 4*l - 8059*l**2 + 57*l**3 + 8059*l**2. 57*l**3 + 4*l Collect the terms in -24 + 24 - 2414*r. -2414*r Collect the terms in 8*b**2 + 6*b**2 + 13*b**2 - 33*b**2 + 9*b**2. 3*b**2 Collect the terms in r**2 - 179*r**3 + 392 - 3*r - 392 + 3*r + 162*r**3. -17*r**3 + r**2 Collect the terms in 125 - 30 + n - 37 - 58. n Collect the terms in 147*i**3 + 149*i**3 + 140*i**3 - 438*i**3. -2*i**3 Collect the terms in -260*w - 993*w - 844*w. -2097*w Collect the terms in 0 - 392*g + 853*g - 492*g + 0. -31*g Collect the terms in -423*u + 710*u + 403*u + 1544*u. 2234*u Collect the terms in -13*i - 6*i + 2*i**3 - 5*i + 24*i. 2*i**3 Collect the terms in -27*f**2 + 29 - 19 - 11 + 18*f**2. -9*f**2 - 1 Collect the terms in 115*f**3 - 387*f**3 + 130*f**3 + 132*f**3. -10*f**3 Collect the terms in -604*r - 630*r - 603*r + 1838*r. r Collect the terms in 22228 + 60*y**3 + y**2 - 22228 + 101*y**3. 161*y**3 + y**2 Collect the terms in -47*x + 178*x - 54*x - 62*x. 15*x Collect the terms in -15*b**2 - 25*b**2 - 12*b**2 + 73*b**2. 21*b**2 Collect the terms in 1608952 - 42*f**2 - 1608952. -42*f**2 Collect the terms in 61*u**2 - 4482*u + 4482*u - 2. 61*u**2 - 2 Collect the terms in 16 + 122*o + 1 - 62*o - 61*o + 12. -o + 29 Collect the terms in 25 - 181*o**3 + 29 - 57*o**3 - 54. -238*o**3 Collect the terms in 49*z**2 - 201*z**2 + 104*z**2 + 48*z**2 + 2*z**3. 2*z**3 Collect the terms in -6330*p - p**3 + 0*p**3 + 3132*p + 3198*p. -p**3 Collect the terms in 5*g + 2575 - 13*g - 2*g. -10*g + 2575 Collect the terms in -1341*y - 12*y**2 - 1287*y + 2628*y. -12*y**2 Collect the terms in -68*u**3 + 176*u**3 - 70*u**3 - 37*u**3. u**3 Collect the terms in 2052195*v**2 + 5*v**3 - 2052195*v**2 + 5. 5*v**3 + 5 Collect the terms in -709150*k**3 + 709144*k**3 + 0 + 0. -6*k**3 Collect the terms in -22*n**2 - 27*n**2 + 25*n**2 - 4*n + 4*n. -24*n**2 Collect the terms in -2304 - 2191 + 4495 + 11*o**2. 11*o**2 Collect the terms in 106*d**3 + 28*d**3 + 2*d**3 + 265*d**3 + 227*d**3. 628*d**3 Collect the terms in -85*b**3 - 2*b**2 - 2*b**2 + 4*b**2 + 4. -85*b**3 + 4 Collect the terms in 49 - 51*h**3 + 321*h**3 + 4. 270*h**3 + 53 Collect the terms in 152*p**2 - 246 - 297*p**2 + p**3 + 145*p**2. p**3 - 246 Collect the terms in 890301 - 10*h**3 - 890301. -10*h**3 Collect the terms in 3696*l - 1859*l + 3*l**2 + 3*l**2 - 1837*l. 6*l**2 Collect the terms in -42 - 47 + 265 - j**2 - 129 - 47. -j**2 Collect the terms in -49*f**2 - 70*f**2 - 72*f**2. -191*f**2 Collect the terms in 18*m**2 - 8*m**2 - 178*m**3 - 1684*m**3. -1862*m**3 + 10*m**2 Collect the terms in 4*j**3 - 25*j**2 - 28*j + 77*j - 5*j**3 - 49*j. -j**3 - 25*j**2 Collect the terms in -2675 - 2674 + 8023 - 8*n**3 - 2674. -8*n**3 Collect the terms in 662*o**2 - 176*o**2 + 208*o**2. 694*o**2 Collect the terms in -139386*j**2 + 31*j**3 + 139386*j**2. 31*j**3 Collect the terms in 754*m - 360*m - 515*m. -121*m Collect the terms in -1339*o**3 + 2339*o**3 + 2290*o**3 + 2091*o**3. 5381*o**3 Collect the terms in -55425*w + 27348*w + 28079*w. 2*w Collect the terms in -170784 + 170784 + 37*f. 37*f Collect the terms in -1431*d + 729*d + 742*d. 40*d Collect the terms in 118910 + 118906 - 237816 + 2*o. 2*o Collect the terms in -21 - 14 - 117*z**3 + 34. -117*z**3 - 1 Collect the terms in 10192*x + 3*x**3 - 4*x**3 - 10192*x. -x**3 Collect the terms in -114*z**2 + 25*z**2 + 34*z**2 + 27*z**2 + 18*z**2. -10*z**2 Collect the terms in -49*b**3 + b + b + 16*b**3 - 12*b**3. -45*b**3 + 2*b Collect the terms in -87 + 2*b**3 + 23*b**3 + 87 - 71*b**3. -46*b**3 Collect the terms in -70*p - 68*p + 250*p - 71*p. 41*p Collect the terms in 17*v - 177*v - 110*v - 153*v. -423*v Collect the terms in 1595*w**2 - 10 + 11 + 2. 1595*w**2 + 3 Collect the terms in 184*s + 183*s + 190*s - 568*s. -11*s Collect the terms in -7 + 1 - 2 + 37*f**2 - 16*f**2. 21*f**2 - 8 Collect the terms in -36*i - 1932 + 963 + 969 - 25*i + 40*i. -21*i Collect the terms in 24*u + 26*u - 12*u + 40*u. 78*u Collect the terms in 6*q**3 + 24035 - 24035. 6*q**3 Collect the terms in -2*o**2 + 0*o + 80*o - 161*o + 81*o. -2*o**2 Collect the terms in 6*x + 0*x**2 - 20*x**2 - 1774 + 1774. -20*x**2 + 6*x Collect the terms in -271*o**2 + 87*o**2 + 78*o**2 - 1. -106*o**2 - 1 Collect the terms in 5*c**3 + 110 - 54 - 11*c + 2*c**3 - 56. 7*c**3 - 11*c Collect the terms in 515*z**3 - 260*z**3 - 263*z**3 + 0*z**2 + 5*z**2. -8*z**3 + 5*z**2 Collect the terms in 720*l + 536*l + 833*l + 257*l. 2346*l Collect the terms in -1332 - 7256 - 6860*d + 6862*d. 2*d - 8588 Collect the terms in 55*i + 74*i - 210*i + 86*i. 5*i Collect the terms in 1 - 977664*o**2 - 1 + 977663*o**2. -o**2 Collect the terms in 13*u + 9*u - 36*u
{ "pile_set_name": "DM Mathematics" }
(a) 0.1 (b) o (c) y b Let d be 22/8 + -6 + 147/28. Let y be (-3)/(21/d)*-1. What is the second biggest value in 1, 5, y, -1? 1 Let n = 209.3 + -209. Which is the biggest value? (a) 2/9 (b) n (c) -12/5 b Let o = 176 + -175.8. What is the third smallest value in 5, o, 12? 12 Let j be ((-6)/63)/((-88)/154). What is the smallest value in -3/5, j, -2/3? -2/3 Let s = 0.29 - 0.09. Let d = -26 - -23. What is the third biggest value in s, d, -0.3? d Let c = 7 + -4. Let h be (7/((-70)/(-6)))/((-3)/2). What is the fourth smallest value in h, -4, 2/23, c? c Let c = 0.29 + -0.09. Let n = -0.1 - c. Let s = -7/51 + 8/17. What is the third biggest value in s, n, -3? -3 Let h be 62/(-93) + 8/(-6). Which is the third biggest value? (a) -0.06 (b) -3/5 (c) h c Let y be 7 - 4 - (-6)/(-1). Which is the biggest value? (a) -16 (b) y (c) 4 c Let p = 29.13 - 29. Let n = -0.15 + p. Let r = -167/2 + 85. Which is the second biggest value? (a) n (b) 3/4 (c) r b Let h = 0.1479 + 24.7971. Let r = -0.055 - h. Let d = r - -26. Which is the biggest value? (a) d (b) 5 (c) -0.2 b Let c = -974.5 - -975. What is the smallest value in 1/4, c, -9? -9 Let w = 3.4 + -3.06. Let x = w - 0.42. Let j = 6.08 + x. Which is the biggest value? (a) j (b) -2/3 (c) -0.2 a Let i be (-12709)/23807 - 6/(-14). What is the biggest value in 1, -18, 2/5, i? 1 Suppose 4*r - 16 = -3*x - x, -2*x - 20 = -5*r. Let s = 8.7 - 6.7. Which is the second biggest value? (a) x (b) -0.3 (c) -5 (d) s a Let y = -148 + 250. Let q = 90.8 - y. Let d = 13 + q. Which is the biggest value? (a) d (b) -5 (c) -4 a Let g be ((-12)/(-21))/(6/21). What is the fourth smallest value in g, -0.4, -0.3, 26? 26 Let v = -0.19 - -0.33. Let l = v + 2.86. Suppose -3 = -y - 6. What is the smallest value in l, y, -5? -5 Let h = -55 + 113. Let r = h - 56. Let p = -1 - -1.2. Which is the second smallest value? (a) 2/7 (b) p (c) r a Let n = -44.29 - -44. Which is the fourth smallest value? (a) n (b) 3 (c) -3 (d) -5 b Let p be 2/(-6) - 16/(-66). Let h = 3.882 - 3.782. What is the third smallest value in h, 2/5, p? 2/5 Let y = -4.3 + -0.7. Let j(s) = s**2 - 6*s + 3. Let r be j(5). Let d be (3/4)/((-3)/r). Which is the third biggest value? (a) y (b) d (c) 2/3 a Let k = -0.161 + 0.131. Which is the second biggest value? (a) k (b) -6 (c) 1/2 a Let m = 787 - 790. Which is the second biggest value? (a) 0.4 (b) 14/9 (c) 3 (d) m b Let f(o) = -o**3 + 13*o**2 - 14*o + 27. Let r be f(12). Suppose 2 = -r*n - 1. Which is the second biggest value? (a) n (b) -2 (c) 3 a Let l = 0.0148 + -0.5148. Which is the smallest value? (a) 1/8 (b) 2 (c) l (d) -3 d Let j = 2.4 - 8. Let p = j + 5. What is the second biggest value in 3/7, p, 0? 0 Let w = -110 - -57. Let m = w + 52.5. What is the smallest value in 2, -0.3, m? m Let i = 0.41 - 0.61. Which is the smallest value? (a) i (b) 0.5 (c) 2 (d) 3 a Let j = -195 + 194. Which is the fourth smallest value? (a) j (b) 1 (c) 2/17 (d) 1/4 b Let f = -57 + 61. Let y = -51.4 - -51. What is the smallest value in f, 0.3, 0.18, y? y Suppose s - 33 + 9 = 0. Let n be ((-32)/s)/((-7)/3). Let y = -0.04 + 0.14. Which is the third smallest value? (a) -6 (b) y (c) n c Let a be 0 + 2*(-1)/6. Let d(y) = -45*y + 177. Let m be d(4). What is the second biggest value in 5/4, m, a? a Let k(h) = -h**3 + 2*h**2 + 30*h + 35. Let i be k(7). What is the smallest value in i, -25, 1, -0.3? -25 Let a = 5.2 - 2.2. Let s = a + 7. What is the third biggest value in -3/5, s, -1/2? -3/5 Suppose 4*f + 8 = 28. Suppose 0 = -5*m + 4*u + 87 - 31, 4*m = -f*u + 12. Let i = m - 11. Which is the third biggest value? (a) i (b) 0.2 (c) 4 a Suppose -5*b + b = 12, 5*b - 15 = -3*z. Let y be (-2 + 4)*z/4. Let d = -1339 - -6694/5. What is the third smallest value in y, d, 2/9? y Let w = -2 + 3. Suppose 2*o + 25 = 7*o. Let m be (-34)/(-15) + 2/o. What is the third biggest value in 0.4, m, w? 0.4 Let c = 13 - 13.3. Let r = 29 - 29.52. Let u = r + 0.02. What is the smallest value in u, c, -0.1? u Let o = -67 - -66.842. Let m = -0.058 - o. Which is the second biggest value? (a) 3 (b) 2 (c) m (d) 1/3 b Let z = 81 - 80.8. Which is the third biggest value? (a) -0.5 (b) 26.6 (c) z a Let h be 40/(-91) - (-3 + (-999)/(-351)). Let o = -6 + 6.3. Let g = 0.7 + o. What is the biggest value in 3, g, h? 3 Let i = 5 + -10. Let t = -141 - -142. Let r = 2 - 6. Which is the biggest value? (a) t (b) i (c) r a Let u = 15419 - 15424. Let y = -24 + -24. Which is the smallest value? (a) -6/5 (b) u (c) y c Let p = -0.4 - -1. Let h = p - 0.7. Let u = -0.17 + -0.13. Which is the biggest value? (a) h (b) -2/5 (c) u a Let n = 277 - 276.86. Which is the smallest value? (a) n (b) 0.3 (c) 4 (d) 6 a Let u = -5.9016 - 0.0984. Which is the biggest value? (a) -0.6 (b) -2/9 (c) u (d) 0.1 d Let o be ((-657)/135 - -5) + (-65)/150. Which is the smallest value? (a) o (b) -4 (c) -107 c Let l be (6/(-8))/((-3)/(-432)). Let q be ((-16)/l + 0)*3. Which is the third biggest value? (a) -15 (b) q (c) 0.1 a Suppose -5 = m - 2*g, -2*g + 15 = -3*m - 0*m. Suppose 4*w = -77 + 9. Let l be (-128)/68 - (-2)/w. Which is the smallest value? (a) m (b) 0.3 (c) l a Let m(o) = o**2 - 9*o + 18. Let f be m(12). Let l be (-2)/5 - f/(-120). What is the biggest value in -0.3, l, 3/7? 3/7 Let k = 2/901 + -1812/4505. What is the third smallest value in -0.47, k, -2? k Suppose s = 4*j - 3*s + 40, 2*j + 4*s = 4. Let n = 61/37 - 133/148. Which is the third smallest value? (a) j (b) -3 (c) n c Let w = 4.88 + -4.78. Let p = -0.9 - 0.6. Let z = p + 1. Which is the smallest value? (a) 0.3 (b) z (c) w b Let l(k) = k**3 - 51*k**2 + 189*k - 46. Let o be l(47). What is the fourth biggest value in 28/9, 0.5, -5, o? -5 Let t = 0.4132 - 0.0132. What is the second smallest value in t, 0.3, 1/7, -3/2? 1/7 Let a = 1.84 - 1.64. What is the second biggest value in -0.1, a, -0.03, 1? a Let a = 0.033 + -17.033. What is the biggest value in 1/3, -1, a? 1/3 Let d = -0.6 + 0.5. Let t = d + 0.3. Let o = 101 - 105. What is the smallest value in o, -1, t? o Let p be (4/90)/(96/(-8695640)). Let h = 4026 + p. Let f = 2/27 - h. Which is the second smallest value? (a) 8 (b) -2 (c) f c Let t be ((-27)/2)/(13 + -19) - 3. Which is the fourth smallest value? (a) -0.034 (b) t (c) -3 (d) -5 a Let g be 1/(-1)*(-140)/(-56). Which is the second smallest value? (a) 0.6 (b) -0.51 (c) 0.1 (d) g b Suppose -3*n + 4 = -n. Let a = 557 + -559.71. Let r = a + -0.29. What is the smallest value in 0.5, n, r? r Let h be -6 + 2 + 4 + 2. Suppose 2*w = -3*u + 5*w + 15, 0 = h*u - 3*w - 11. Let o = 12 - 12.3. What is the third biggest value in o, -0.6, u? -0.6 Let g be ((-12)/2 + (-12)/(-4))/1. Let b be -14*((-3)/(-2))/(-3). What is the smallest value in 2/15, b, g? g Let x(w) = -w - 27. Let z be x(0). Let y be (-102)/z - (-6)/27. Suppose -p + 4*i + 3 = 2*p, y*p = -4*i + 4. Which is the biggest value? (a) p (b) -2 (c) 0.1 a Let a = -2085 + 2086. What is the biggest value in a, -520, -2? a Let m = 3227/5 + -646. What is the third biggest value in m, 2, 1/4, -9/5? m Let v be 4/(-16)*(-8)/7. Let z = 52 - 51.9. What is the second smallest value in z, 2/23, v? z Suppose -35*x + 30*x = -v + 5, -3*v = 3*x + 21. What is the biggest value in x, -0.14, -5, 1/3? 1/3 Let y = 3.26 + -6.26. Which is the third biggest value? (a) -5 (b) y (c) 2 (d) 42 b Let k = 52 + -362/7. Which is the biggest value? (a) -0.4 (b) 0.3 (c) 0.17 (d) k b Let n = -65 + 62. Let s(w) = -w**3 - 7*w**2 - 11*w. Let k be s(n). Which is the second smallest value? (a) k (b) -4 (c) -1 (d) 30 a Let t = -3.2 - -6.3. Let a = 2.9 + t. Let i = 2/39 - -11/39. What is the third biggest value in a, i, 4? i Let a = -0.1257 - 0.8743. What is the third biggest value in a, -8, 2/17? -8 Let m = -36 - -36. Let f = 12.19 + -11.69. Let s = -1 - -2. What is the second smallest value in m, s, f? f Suppose -560 = -20*i + 4*i. Suppose -4*o = -i - 33. What is the second biggest value in -1/5, -0.4, o? -1/5 Let t = -99 - -193/2. What is the second smallest value in 1, -4, 5, t? t Suppose 6*q - 23 - 13 = 0. Let i = -2.2 - 0.8. Which is the third biggest value? (a) q (b) 1 (c) i c Let y = 3.4 + -3. Let k = -179 + 187. Which is the sm
{ "pile_set_name": "DM Mathematics" }
189.4887362. Let g = -38 + b. What is g rounded to seven decimal places? 0.0000008 Suppose 11*n = -2*n - 16133. Round n to the nearest 10. -1240 Suppose 280*t - 50670 = 271*t. Round t to the nearest one hundred. 5600 Let w = 8588 + -9041.7. Let n = w - -433. Round n to the nearest integer. -21 Let x = -0.08 - -3.48. Let m = x - 3.40016. What is m rounded to 4 decimal places? -0.0002 Let m be 5/(-1) + (3 - -2). Suppose g - 5*s - 44400000 = m, 4*s = 3*g - 191081271 + 57881271. Round g to the nearest one million. 44000000 Let i = -441.0000233 - -441. What is i rounded to six dps? -0.000023 Suppose -27*c = -19*c - 1784800. Round c to the nearest ten thousand. 220000 Suppose 4*u + n - 15239996 = 0, -3*n + 3 - 15 = 0. What is u rounded to the nearest one hundred thousand? 3800000 Let n = 0.014 - 0.04. Let s = 0.0276 + n. What is s rounded to four decimal places? 0.0016 Let p = -9 - -31. Suppose p = 7*a - 321. Round a to the nearest ten. 50 Let m = 68.02 + -70. Let s = 2 + m. What is s rounded to one dp? 0 Let g = 0.01091149 + -0.0109. What is g rounded to 6 decimal places? 0.000011 Let a = -0.08 - 1.42. Let b = 544999.3000004 + -545000.8. Let h = a - b. What is h rounded to 6 decimal places? 0 Let u = 0.4185 + -0.2396. Round u to 2 decimal places. 0.18 Suppose -8 = p + 27. Let r be 444/(-15) + (-21)/p. Let h = r + -4. What is h rounded to the nearest 10? -30 Let q = 67 - 16. Let v(f) = f**3 + 9*f**2 - 3*f - 15. Let s be v(-10). Let o = q + s. Round o to the nearest ten. -30 Suppose -14 = -s - 4*x - 5, -3*s = 3*x - 18. Let t(h) = h**2 - s*h**2 + 3*h**2 + 4*h + 7*h + 8. Let u be t(12). What is u rounded to zero decimal places? -4 Suppose -31 = -3*t + 14. Let g be 42/t*(555516 - 6). Suppose -g - 4444572 = 4*z. Round z to the nearest 1000000. -2000000 Let t be (4400/(-352))/(2/(-2274080)*-1). Round t to the nearest 100000. -14200000 Let z = -260.1 - -24.9. Round z to the nearest 100. -200 Let p = 0.53 - 1.72. Let n = 1.1900258 + p. Round n to 5 decimal places. 0.00003 Suppose -2*w = -2*f + 22842, 0*f = w - 2*f + 11422. What is w rounded to the nearest one thousand? -11000 Let y = -0.68 + 1. Let a = -0.07119 + 0.39164. Let z = a - y. What is z rounded to 4 decimal places? 0.0005 Let d = -26707.233 + 26695. Round d to one decimal place. -12.2 Let c = -666507 + 666505.6599846. Let m = -1.34 - c. Round m to six dps. 0.000015 Let v = 6705 + -6703.1705. Let u = 0.835 - v. Let q = -1 - u. What is q rounded to three decimal places? -0.006 Let v = -1086 + 1881. Let d(h) = -h**2 + h + 1. Let w be d(-2). Let q be (w - v)*-25*5. Round q to the nearest 1000000. 0 Let w(y) be the third derivative of -9*y**5/10 + y**4/8 + 2*y**3/3 - 10*y**2. Let q be w(-3). What is q rounded to the nearest 100? -500 Suppose 0 = -2*k - 5 - 1, 0 = -p + 5*k + 19. Suppose -v + 234 - p = 0. What is v rounded to the nearest 100? 200 Let a = -6.9 - -55.9. Let p = 49.00000092 - a. Round p to 7 decimal places. 0.0000009 Suppose 4*o - 2*u = 1847992, -3*u + 4*u - 1848004 = -4*o. Round o to the nearest 100000. 500000 Let d = 38 + -37.83. Let t = 0.26 - d. Let v = -0.114 + t. Round v to 2 decimal places. -0.02 Let r = 0.0391817702 + 45467.3527982298. Let t = r - 45466. Let m = t - 1.39. Round m to four dps. 0.002 Let g be (-3*1497)/(5/(-30)). Let a = g + 954. What is a rounded to the nearest 1000? 28000 Let v be ((-670)/(-7))/((-51)/357). What is v rounded to the nearest 1000? -1000 Let v = -1917.00000348 - -1917. Round v to 6 dps. -0.000003 Let y = 95 + -214. Let c = y + 119.000169. What is c rounded to 4 dps? 0.0002 Let q = -279 - -278.999937. What is q rounded to five decimal places? -0.00006 Let g = 1.892 + 110.008. Let o = g + -75. What is o rounded to the nearest 10? 40 Let o = -193 + 193.0000234. What is o rounded to six dps? 0.000023 Let t = 5.76 + 0.24. Let u = t + -5.9999985. What is u rounded to 6 decimal places? 0.000002 Let t = 1 - 0.98. Round t to 2 dps. 0.02 Let f = -1781783579 + 1781783661.0000033. Let y = 146 - 64. Let u = f - y. Round u to 6 decimal places. 0.000003 Let g = 2.43 - 3.28. What is g rounded to 1 dp? -0.9 Let y = -3108775.51864922 - -3062.21558922. Let m = y - -3105684. Let a = m + 29.3. What is a rounded to four dps? -0.0031 Let r = 31 - 26. Let j be ((-293)/(-2))/(r/(-10)). What is j rounded to the nearest ten? -290 Let t(s) = 2850204*s - 4. Let j be t(4). Let r = 26771836 - j. Let n = -3771024 + r. Round n to the nearest one million. 12000000 Let a = -8 - -8.02. Let u = a - -0.78. Let g = 0.7994 - u. What is g rounded to four decimal places? -0.0006 Let d = -10 + 12. Suppose 0 = 3*f - 5*f + d*w - 11998, -4*f = -w + 23999. Round f to the nearest 1000. -6000 Let a be 98075/((-6402)/800 + 8). Round a to the nearest one million. -39000000 Let p = -0.738 + 0.038. Let z = -0.699956 - p. Round z to five decimal places. 0.00004 Let u = -835 - -834.999999266. What is u rounded to seven decimal places? -0.0000007 Let c = -2181195106.72454 - -24085.72454. Let s = -2181171038.99999849 - c. Let x = s - -18. Round x to 7 decimal places. 0.0000015 Let t(z) = -14159999*z - 5. Let j be t(5). Round j to the nearest one million. -71000000 Let a = -11.2 + 11.4808. Let u = -0.0278 + a. Round u to two dps. 0.25 Suppose 318730 = -2*u + i - 5*i, 159400 = -u + 5*i. Let b be (32/(-5))/(1/25). Let l be b/(318747/u - -2). Round l to the nearest one million. -9000000 Suppose 2*q + 36*q + 27398000 = 0. What is q rounded to the nearest one hundred thousand? -700000 Let k be (-6 - -7)/(0 + -1). Let d be (k - -12)/(4/60). Let s = 96 - d. Round s to the nearest ten. -70 Let n = 1.3 + -1.31. Let w = -7.01 - n. Let s = -7.16 - w. What is s rounded to one decimal place? -0.2 Let s = -53.869 + -0.831. Let c = -58 - s. Let a = -3.29999975 - c. What is a rounded to 7 decimal places? 0.0000003 Let s(f) = 1140*f**2 + f + 1. Suppose 3*k = 4*i + 2, -2*i - 3 = -5. Suppose -3*q - 2*q - k*m = -5, 0 = -q - 3*m + 14. Let v be s(q). Round v to the nearest 100. 1100 Let j = -2.944 + 0.406. What is j rounded to 0 dps? -3 Let g(s) be the third derivative of -5*s**4/6 - 8*s**3/3 + 2*s**2. Let b be g(-6). What is b rounded to the nearest ten? 100 Let t = 52.08 + -1.08. Let z = 54.1 - t. Let n = -3.0999847 + z. What is n rounded to 6 dps? 0.000015 Let x = 151.094232 - 151.1. What is x rounded to 3 decimal places? -0.006 Let d = -138.7838 + 7.4518. Let h = d - -131. What is h rounded to 2 dps? -0.33 Suppose 5*u - 3*u - 4 = 0. Let c be (u/3)/(4/18). Let k(y) = 320*y**3 - 5*y**2 + y + 2. Let d be k(c). What is d rounded to the nearest 1000? 9000 Let g = 13.89 - 22.36. What is g rounded to 0 decimal places? -8 Let q = 144.52 - 144. Let z = 0.519782 - q. Round z to five dps. -0.00022 Let r = 65602.166 - 65783. Let a = -181 - r. What is a rounded to two decimal places? -0.17 Suppose -2763196 = 4*j - 4*r, 22*r = 5*j + 25*r + 3454003. What is j rounded to the nearest 100000? -700000 Let i(q) = -1064*q**3 - 8*q + 8. Let a be i(7). Round a to the nearest 100000. -400000 Let u = 18600 + -18604.75136. Let a = 24.752 + u. Let h = 20 - a. Round h to 4 decimal places. -0.0006 Suppose -2577705 = -5*b + 1542295. Round b to the nearest ten thousand. 820000 Suppose -5*d + 34159999 = u, -405*d = -407*d - 3*u + 13663997. What is d rounded to the nearest one million? 7000000 Let z = 0.133 - 67.133. Let d = -67.51 - z. What is d rounded to one decimal place? -0.5 Let z = 72.8 - -225.2. Let t = 567 - z. Let d = t - 269.0000109. Round d to 6 decimal places. -0.000011 Let c = -2.404 - -3.633. Round c to 1 decimal place. 1.2 Let f = 53 + -23. Let q = f + -10. Suppose 0 = 19*u - q*u - 1. What is u rounded to the nearest 10? 0 Let c(t) = 28000002*t**3 - 4*t**2 + 4*t - 2. Let g be c(1). Round g to the nearest 1000000. 28000000 Let q be (-6630)/2 - (35 - 35). What is q rounded to the nearest one hundred? -3300 Let d = 4554.000004593 - 4554. Round d to 7 dps. 0.0000046 Let v(j) = 26*j + 16. Let d be 3*((-5)/4)/(15/(-20)). Let l be v(d). Round l to the nearest 10. 150 Let d = 6736180743 - 6736410304.19939. Let u = d + 229571. Let t = u - 9.8. Round t to four dps. 0.0006 Let p = -234.28818 - 0.54182. Let s = 7 + -240. Let t = s - p. What is t rounded to 1 decimal place? 1.8 Let g = -5.86 - -5.860347. What is g rounded to 4 decimal places? 0.0003 L
{ "pile_set_name": "DM Mathematics" }
+ 0) in the form u*s + y and give y. 3 Rearrange -195*m**2 + 43*m - 156*m + 2 + 58*m + 47*m to the form x*m + v + a*m**2 and give x. -8 Express (3*v**3 - 81847 - 5*v - 81862 + 163732)*(-7 - 4*v + 8 + 3) as q*v**2 + r*v**4 + a*v**3 + k*v + n and give a. 12 Rearrange 26*x + 12*x + 258 - 12*x - 20*x + 58 to z*x + o and give o. 316 Rearrange -3*v**4 - 3777*v + 5*v**4 - 5*v**3 - 6 - v**2 + 3784*v to z*v**2 + j*v + n*v**4 + o*v**3 + i and give j. 7 Rearrange ((-d - 2*d + 5*d)*(-1 + 3 - 1) + 0*d + d + 0*d)*(3817 + 9170 - 23664 - 25381 - 22290) to k*d + b and give k. -175044 Rearrange (y + 5 - 5)*(-2193*y - 3128*y**2 + 2193*y) to d*y**2 + m*y + n*y**3 + t and give n. -3128 Rearrange 2 - 2 - 22387*w - 7663*w + 9692*w to the form t*w + b and give t. -20358 Express (61 - 213 + 423)*(-2 - 2*p + 2 + (9*p - 6*p + 21*p)*(0 + 4 - 6)) in the form k + s*p and give s. -13550 Rearrange -28 - 30*b**3 - 27*b**3 + b + 29*b**3 - 2*b**2 - 37*b**3 - 6*b**3 to the form j*b**3 + d*b**2 + y + h*b and give h. 1 Rearrange r - 12338 + 20*r**3 - 12327 + 24668 - 11*r**4 to the form c*r**3 + j*r + n*r**2 + o + i*r**4 and give c. 20 Rearrange (1 - 1 - 1)*(3*g - 3*g - g) + (-81*g - 76*g - 155*g)*(3 - 4 - 1) to y*g + t and give y. 625 Rearrange (-p - 2*p + 2*p + (-1 + 4 - 2)*(-5*p - 2*p - 3*p))*(9 - 505 - 134) to the form t + l*p and give l. 6930 Express (-54 + 110 + 560 - 113 + 291)*(-6*n + 8*n + 6*n) in the form z + r*n and give r. 6352 Express (0 + 2 - 3 + (-1 + 2 + 0)*(1 + 0 + 0) - 4 + 3 - 4)*(-187 + 187*i**3 + 187) as l*i**3 + p*i + k*i**2 + z and give l. -935 Rearrange -684*r**2 + 1691*r**2 + 1422*r**2 + 54*r - 54*r to the form o*r + u + w*r**2 and give w. 2429 Express -23954*o + 1532*o**2 + 23954*o in the form k*o**2 + r + s*o and give k. 1532 Express -2424*u + 2*u**2 - 363 + 1263*u + 1165*u in the form o*u + s + r*u**2 and give r. 2 Express -19 - 26 + 34076*l - 26 + 71 as p*l + s and give p. 34076 Rearrange -445 - 12*p + 238 + 225 - 216*p to the form j + a*p and give a. -228 Rearrange -45*c - 26 - 32 - 35 + 132 - 37 to the form i*c + s and give s. 2 Express -1 - 316*y**2 - 10*y + 2 - 1 + 497*y**2 as h + f*y + d*y**2 and give d. 181 Express 7685 - 6*p - 6*p + 4*p + 4*p - 7393 in the form s + d*p and give d. -4 Express 4 + 2*h + 79108*h**2 + 2*h**3 - 158156*h**2 + 79291*h**2 as y*h**2 + p + g*h**3 + r*h and give p. 4 Rearrange ((3*s + 2*s - 4*s)*(5*s - s - 2*s) - 35*s**2 - 101*s**2 - 27*s**2)*(-472 - 2*s**2 + 472) to the form c*s**3 + v*s**4 + y*s**2 + g*s + i and give g. 0 Rearrange (3*u - 6*u - 7*u)*(-5*u + 4*u - u)*(4*u - u + u) + 251*u - 251*u + 49*u**3 to the form s*u**2 + b + m*u + w*u**3 and give m. 0 Rearrange (-1 - 2 + 1)*((-2 - 4 + 5)*(0 - 1 + 0) + (3 - 9 - 4)*(-4 - 5 - 1))*(3 - 3 - 2)*(0*h + 2*h + 0*h) to q*h + k and give q. 808 Express 22*r - 377401*r**4 + 4 + 33 + 377402*r**4 - r**3 as c*r**2 + z*r**4 + d + x*r**3 + n*r and give d. 37 Express -58*i + 82 + 2*i**3 - 81 + 48*i**2 + 58*i**2 - 2*i**4 - 107*i**2 in the form c*i**3 + a*i + m + s*i**2 + j*i**4 and give s. -1 Express 0*j**3 + 37*j**2 + 61*j**4 + 26485 - 52965 + 0*j**3 + 26481 as h + i*j**2 + k*j**3 + g*j**4 + s*j and give h. 1 Express -20*x**2 - 14*x**4 - 14*x**3 + 8*x - 18*x**3 - 7*x + 19*x**2 + 28*x**3 in the form n*x**4 + y*x + p + w*x**3 + f*x**2 and give p. 0 Express 1158 + 350 + 20107*n - 1508 as k*n + g and give k. 20107 Express 1048*w**3 - 2038*w**3 - 8 - 7*w**4 + 1027*w**3 + 2*w**4 - 6 + 2*w**2 as y*w**2 + n*w**3 + i + k*w + z*w**4 and give y. 2 Express 58*b + 51*b - 169*b - 97 + 62*b in the form c + p*b and give c. -97 Rearrange (8*v**2 + 5*v**2 - 4*v**2)*(0 - 3 + 4) - 45 - 116*v**2 + 45 + (0*v - v + 4*v)*(1 + 2*v - 1) to k*v + u + c*v**2 and give u. 0 Express (506*b + 396*b - 210*b + 382*b)*(4 - 4 - 1) in the form x*b + k and give x. -1074 Express -o + 3*o + 4*o - o + 2*o + 8*o + (0 - 4 + 6)*(o - 2*o + 2*o) + 3*o + 3*o - 5*o + 39*o - 24*o + 22*o - 5*o + o + 0*o as v*o + q and give v. 51 Rearrange 320 - 27*y - y**3 - 1284 + 25*y to t + f*y**2 + r*y**3 + x*y and give x. -2 Rearrange -1787*s**2 - 792*s**2 - 6395*s**2 - 267*s**2 - 4588*s**2 to the form x + l*s**2 + g*s and give g. 0 Rearrange (3 - 90 - 11)*(-9*i**4 - 33*i**4 - 77*i**4) to g*i**4 + z*i**3 + r*i**2 + c*i + f and give f. 0 Rearrange 0 + 5*c**4 + 5724*c**2 - 5738*c**2 - 10 + 0 + 2*c to the form s*c**4 + m*c + p + n*c**2 + w*c**3 and give m. 2 Express 1 - 3 + 13094*k + 2 - 14990*k in the form s + c*k and give c. -1896 Rearrange d**4 + 2*d**2 + 14*d**3 - 7*d - 5111 - 3*d**4 + 5111 to the form i*d**2 + b*d + y*d**4 + x + l*d**3 and give b. -7 Rearrange 737*s**3 - 735*s**2 + 156*s**3 + s + 366*s**2 + 368*s**2 to x*s**3 + k*s + r + b*s**2 and give b. -1 Rearrange 4616*k**2 + 367 + 333 - 698 to the form g*k**2 + b + m*k and give b. 2 Rearrange (-2 + 2 - 2 + 0 + 0 - 2 + (-2 + 5 - 4)*(2 + 1 - 2))*((159*f - 44*f + 64*f)*(1 + 0 - 2) + (3 - 4 - 1)*(-3 + 3 - 3*f)) to the form u + y*f and give u. 0 Rearrange 14*n + 16*n**2 - 35*n - 751 + 750 + 10*n + 10*n - n**4 - 30*n**3 to y + z*n**3 + t*n + g*n**4 + h*n**2 and give g. -1 Rearrange 477 + 861*p - 1460 - 863*p + 2*p**2 to w + a*p + n*p**2 and give n. 2 Express (48 + 27 - 122)*((-m + 3*m + 0*m)*(-4*m + 4*m + m) - 34*m + 2*m**2 - 59*m - 31*m) in the form t + h*m + f*m**2 and give f. -188 Rearrange (-1 - 1 + 5)*(621 - 1252 + 624 + 47*o)*(-13 + 39 + 10)*(1 - 4 + 5) to l + g*o and give g. 10152 Rearrange 2*i**4 - 3*i**4 + 12*i**4 + (-2*i + 4*i + 5*i)*(i**3 + 0*i + 0*i) - 24*i**4 + 14*i**4 - 25*i**4 to l*i**2 + k*i + m*i**3 + t + q*i**4 and give q. -17 Rearrange -2*i**3 + i**4 + 4 + 258393*i**2 + 3*i**3 - 258350*i**2 to k + q*i**4 + n*i + j*i**2 + x*i**3 and give j. 43 Rearrange (0*a**2 + 3*a**2 - 2*a**2 + (2*a - 3*a - a)*(-a + 1 - 1))*(-a + 56 - 147 + 67) to the form g*a + t*a**3 + k*a**2 + w and give w. 0 Express 6 + 680*k + 401*k - 12 - 64*k + 4 as g + q*k and give g. -2 Rearrange 15*m + 145*m - 4 + 283*m to the form y + i*m and give i. 443 Express -4 - 12 - 633*q**2 + 33 - 16 as g*q + r*q**2 + b and give r. -633 Rearrange -531267 + 57*a**2 - 475*a**2 + 531267 to the form w + p*a + o*a**2 and give o. -418 Express (-13 + 21 + 11)*(3*c + 0*c - c) - c + 0*c + 2*c + (-3 + 0 + 4)*(-3*c + 0 + 0) + 2*c - c + 0*c + c - 5*c + 0*c + 1 - 1 + 3*c as g + o*c and give o. 36 Rearrange -1061*v - 11*v**2 + 1060*v - 16 + 5*v**3 - 3*v**3 - 6*v**2 to the form c*v**2 + p*v**3 + q*v + l and give p. 2 Express 2*w**4 - 13*w**4 - 9*w**4 + 24*w**4 - 2*w**2 + 23 - 6*w**4 in the form n*w**2 + d*w + h*w**4 + s*w**3 + c and give s. 0 Express -591 + 7*u**2 + 277 - 22*u + 310 as c*u + t + a*u**2 and give c. -22 Rearrange (417*i**3 - 757*i**3 + 417*i**3)*(-2*i + i - i) - 4*i**4 - 2*i - i**4 + 4*i to the form p*i**3 + f*i + s*i**4 + c + o*i**2 and give f. 2 Rearrange 5*p**3 - 2*p**3 - 2*p**3 + (64 + 120 - 92)*(2861 - 2861 + 64*p**3) to w + d*p + j*p**2 + k*p**3 and give w. 0 Rearrange (-34 + 20 + 79 + 56)*((1 + 2 - 1)*(-4*l + 4*l - 3*l) - 2*l + l + 8*l) to n + p*l and give p. 121 Rearrange -527 + 142 + 385 - 23146*m to c*m + w and give w. 0 Express q - 4*q - 25*q**2 - 41*q**3 - 35*q**3 + q - 1 + 61*q**3 as v*q + k*q**3 + g*q**2 + j and give v. -2 Rearrange (5*c - 2 + 2)*(-4*c + 2*c + 4*c) + (0*c - 2*c + c)*(2408 - 87*c - 2408) + 2*c**2 - 6*c**2 + 3*c**2 to k*c**2 + n + m*c and give k. 96 Express -8281*j + 7908*j + 6346*j in the form t*j + l and give t. 5973 Express 14 - 6*p**4 + 15*p**4 - 2*p**2 + 384*p - 5 - 385*p as h*p**4 + f*p**2 + m + s*p**3 + y*p and give s. 0 Rearrange (43*k - 46 - 47 + 94)*(0*k - 68*k + 109*k) to p + b*k + n*k**2 and give n. 1763 Express (3*v**2 + 0*v**2 - v**2)*(-2 + 3 - 9) + 315*v**2 - 21 - 158*v**2 - 159*v**2 in the form z*v + s*v**2 + w and give s. -18 Rearrange 6*w**3 - 3 - 6485*w + 2*w**4 - 64*w**3 + 6484*w - 46*w**3 + 25*w**3 to s*w + n*w**3 + f*w**4 + o*w**2 + z and give s. -1 Express 3*l + 366*l**3 - 26*l + 26*l + 6*l in the form g*l + n*l**2 + f*l**3 + x and give g. 9 Express -177539*u - 2 - 2*u**3 + u**3 - 6*u**4 + 88685*u + 88780*u as q*u + j + a*u**2 + p*u**3 + d*u**4 and give p. -1 Express -728*v + 1434*v - 703*v - 221 in the form g + z*v and give g. -221 Express -318*a - 257*a - 9*a - 330*a + 1 + 217*a in the form p*a + w and give p. -697 Rearrange (-29*y**3 - 2*y**4 - 188*y**2 + 188*y**2)
{ "pile_set_name": "DM Mathematics" }
common denominator of k and h. 12 Let c(b) = 2*b + 3. Let m = 81/11 + 197/33. Calculate the common denominator of m and c(-2). 3 Let m be 5/(2*3/6). Let p be 15/m + (-64474)/(-110). Let f = 2962/5 - p. What is the common denominator of f and 47/3? 33 Let a = -30 - -58. Calculate the common denominator of 76/3 and (a/(-48))/((-6)/(-81)). 24 Let f = -459757/1389 - -331. Let g = f + -109775/30558. Calculate the common denominator of g and -151/18. 198 Suppose -5*b + 10*b - 45 = 0. Suppose -348 = t + 3*t. Calculate the common denominator of 71/10 and (t/(-72))/((-1)/b). 40 Let j be 2 - (-1 - (1 - -2)). What is the lowest common multiple of 4 + j/15*5 and 18? 18 Let h be 5*(-5)/(25/(-4)). Suppose -h*m + 40 = -0*m. Suppose 6*p - 9*p = -12. Calculate the smallest common multiple of p and m. 20 Let b = 5 - 4. Suppose b - 9 = -4*r. Suppose 9 = -r*n + 41. Calculate the least common multiple of 8 and n. 16 Calculate the common denominator of -37/2 and (29 + -4)*1/8. 8 Suppose 97 = 4*x - 71. Let z = -4/15 - 97/30. Calculate the common denominator of x and z. 2 Let p = 1897/9 - 7153/36. Let q = 12029/4 + -3022. What is the common denominator of p and q? 12 What is the least common multiple of -1 + (2 + 1 - -2) and 14? 28 What is the common denominator of 133/18 and (-4)/24 - 308/60? 90 Let v(i) = 2*i - 8. Suppose 10 = 3*j - x - 6, 8 = 4*j - 4*x. Calculate the least common multiple of v(j) and 6. 6 Let o be 1*(-1 + 3) + -3. Suppose 0 = -0*b - 3*b - 3. Find the common denominator of (o - b) + 67/(-4) and -83/10. 20 Suppose -12*s + 101 + 19 = 0. Let a(d) = -d**3 + 7*d**2 - 6*d - 2. Calculate the least common multiple of s and a(5). 90 Let h(q) be the first derivative of 2*q**3/3 + 5*q**2/2 + 3*q - 1. Let g be h(-3). Suppose 12 = t - g. What is the smallest common multiple of 6 and t? 18 Let n(p) = -p + 24. What is the least common multiple of 8 and n(-16)? 40 Let y = 17 - 25. Find the common denominator of (570/y)/5*-2 and -9/10. 10 Let u(i) = -6*i - 8. Let f be u(-6). Suppose 0*d - f = d - 5*l, 2*d + 16 = 2*l. What is the common denominator of ((-22)/10)/(d/(-12)) and 17/2? 10 Let x = 13153/1240 + -36/155. What is the common denominator of 127/6 and x? 24 Calculate the smallest common multiple of (1 - 12/9)/(2/(-12)) and 7. 14 Let k = -787/6 - -140. Find the common denominator of (-36)/(-14) - (6 - 10) and k. 42 Let q(y) = y**3 + y**2 - 3*y + 4. Let f be q(-6). Let j = 582 - 1121/2. Find the common denominator of j and 2/(-32)*f*-2. 4 Let y = 9120 - 91273/10. Let f = -7223/4550 + -18/325. Calculate the common denominator of y and f. 70 Let a = -3/5 - -11/10. Suppose -h = -5*f + 2*h + 22, -7 = -2*f + 3*h. Find the common denominator of (-22)/(-1) - 5/f and a. 2 Let g = -36 - -40. Calculate the smallest common multiple of 10 and g. 20 Suppose 1 = r - 0. Suppose 3*g - 5*j = 19, 5*g + 4 = 5*j + 29. What is the least common multiple of 1 - 1*-5*r and g? 6 Suppose -3*d = f - 22, 5*f = -3*d - d + 66. What is the least common multiple of f and 1? 10 Suppose 0*k + 4*k = -4*d - 44, 0 = 5*d + 3*k + 51. Let n = d - -7. Find the common denominator of -13/7 and n. 7 Suppose -2*i + 4*c = 8, -6*c + 2*c + 24 = 2*i. What is the smallest common multiple of i and (2/1)/((-2)/(-14))? 28 Suppose 0 = 4*j - u - 10, -2*j + 5*u = -0*u - 14. Let g(f) = 7 + 5*f - 7. What is the least common multiple of j and g(1)? 10 Let w(p) = p - 3. Let n(g) = 7*g**2 + 2*g - 1. Suppose 0*j - 1 = -j. Calculate the least common multiple of n(j) and w(9). 24 Let q = 109 - 53. Let x = 78 - q. Calculate the least common multiple of 14 and x. 154 Suppose 0 = -c + 2*c + 1395. What is the common denominator of (-6)/(-9)*(-87)/(-32) and c/42 - 2/7? 16 Let x(h) be the first derivative of -h**3/3 + 5*h**2 + 10*h + 4. Calculate the lowest common multiple of x(10) and 9 + (-2)/(-2)*2. 110 Let w be ((-18)/290)/((-63)/12). Let m = 224291/2030 + w. Let b = 146 - m. Find the common denominator of 29/22 and b. 22 Let r be (2/4)/(9/1026). Suppose 0 = -5*s + r - 7. Calculate the least common multiple of 20 and s. 20 Let z = 30396/1452655 + -5878650821383/1162124. Let v = z - -5055574. Let m = 2963 + v. Find the common denominator of m and 43/8. 40 Let j(b) = 2*b - 9. Let v = -21 + 15. Let t = v + 17. What is the smallest common multiple of j(6) and t? 33 Let v(u) be the second derivative of -u**4/12 + 2*u**3/3 + u**2/2 - 2*u. Let z be v(4). Let i = z - -8. What is the least common multiple of 5 and i? 45 Find the common denominator of 250/44 - (-6)/(-2) and 31/10. 110 Let b(t) = t**3 - 7*t**2 + 5*t + 8. Let q be b(6). Find the common denominator of 41/2 and q*1*69/(-21). 14 Suppose 4*r + 4 = 2*r. Let b = r - -12. Calculate the least common multiple of b and 6. 30 Let y = -1735 + -1287. Let p be (y/1)/(10/(-45)). Let m = -271907/20 + p. Calculate the common denominator of 61/8 and m. 40 Find the common denominator of -97/18 and 6/28*158*(-2)/12. 126 Find the common denominator of 63/20 and (1/(-6))/(67/(-15) + 4). 140 Suppose 0 = 10*w - w - 27. Let f(j) = j**3 + 3*j**2 - 5*j + 1. Calculate the smallest common multiple of w and f(-4). 15 Suppose 5*z - b = -3*b + 46, 5*b = 2*z - 30. What is the lowest common multiple of 3 and z? 30 Let d(z) = z**3 + 11*z**2 + 7*z - 24. Calculate the least common multiple of d(-10) and 15. 30 Let d = 3012529/60 - 50206. Calculate the common denominator of d and 32/9. 180 Let w = -122 - -58. Calculate the common denominator of -45/2 and 524/(-9)*24/w. 6 Let y = 17751/112 - 2409/16. Find the common denominator of -25/16 and y. 112 Let j = 42336/11 + -3846. Find the common denominator of j and 3/(-15) + (-33)/55. 55 Let d = -38 + 41. Calculate the least common multiple of d and 24. 24 Suppose -i - 9 = -4*i. Suppose -i*y = -3*p - 951, -5*p - 1265 = -p - 3*y. Calculate the common denominator of 73/18 and 1 + -3 - p/24. 36 Suppose -7659 = -3*f + 9234. Let a = f + -67609/12. What is the common denominator of (-1 - -1) + 130/(-36) and a? 36 Let p(b) = -212*b - 6. Let d(r) = -5*r**3 + 1. Let s be d(1). Let v be p(s). Let x = 16751/20 - v. Calculate the common denominator of x and -89/4. 20 Suppose 0*y + 10 = 5*y. Suppose 1 + y = p. Suppose x - 8 = -p*q + 16, 0 = -x + 3. What is the lowest common multiple of 3 and q? 21 Let m be (-9)/6*5464/6. Let j = 17743/13 + m. Find the common denominator of 2/3 and j. 39 Suppose 2*f - 4*q = 44, 3*q + q + 98 = 5*f. Suppose 0 = -2*w - 3*w + 2*z + 62, 3*w - 2*z - 38 = 0. Calculate the least common multiple of w and f. 36 Let y = 10 - 1. What is the common denominator of 0/(-2) - (-3)/y and 9/8? 24 Suppose 0*s - 8 = -4*s. What is the lowest common multiple of 14/18 + s/9 and 7? 7 Suppose 3*j = -0 + 12. What is the lowest common multiple of j and 20? 20 Let i(s) = s**3 - s**2 + 1. Let x be i(-1). Find the common denominator of 49/10 and (13/42)/(x/(-27)). 70 Suppose -k = -6 - 12. Let p = -19 + 29. What is the least common multiple of p and k? 90 Suppose -2*m + 43 = -n, 2*n - 6 = 4. What is the lowest common multiple of m and 21? 168 Suppose 36 - 2 = 2*h. Let m = -9 + h. Calculate the smallest common multiple of m and 9. 72 Suppose h - 3*f + 18 = 2, 5*f = 15. Let o = 7363/6 - 1233. Calculate the common denominator of 1*2/h*-18 and o. 42 Let c be (21/7)/(3/(-14)). What is the least common multiple of 5/(c/(-4) - 3) and (2*1)/((-1)/(-5))? 10 Suppose q = -5*n + 45, 0 = 4*q + 4*n - 7*n - 65. Let c = 67 - q. What is the common denominator of (-4)/22 - c/44 and 15/16? 16 Let d(i) = 2*i + 4. Calculate the least common multiple of -2*-1*(-28)/(-8) and d(2). 56 Suppose 3*a + 4*q + 92 = 0, 3*a = -a - 2*q - 126. Find the common denominator of 150/a - (-1 - 0) and 89/14. 112 Calculate the common denominator of 111/14 and (1 + 42/(-60))*(-82)/(-4). 140 Let a be (-81)/(-6)*(-40)/(-6). Suppose r = -4*r + a. Let q = 0 + 8. What is the lowest common multiple of q and r? 72 Let f(h) = 8*h + 10. Let n be f(13). Find the common denominator of n/28*2/(-1) and 61/3. 21 Let l(i) = -11. Let t(n) = n - 1. Let w(x) = l(x) - t(x). Let m be w(-6). Calculate the common denominator of 91/20 and ((-8)/(-108))/(m/(-159)). 180 Let a = 5 - -2. Suppose -4*s + 1 = -11. Suppose -2*k + 6 = 0, -13 = -s*i + 4*k - 4. What is the least common multiple of a and i? 7 Let v(g) = 6 - g**2 - g**3 + 2*g + g**2
{ "pile_set_name": "DM Mathematics" }
- 2*r - 2*r)*(-2 + 0 + 0) + r + 2 - 2. 5*r Expand (-2*a**2 + 0 + 0)*(-5*a**2 + 3*a**2 + 3*a**2) + (4 - 1 - 1)*(0 - 2*a**4 + a**4 + 2). -4*a**4 + 4 Expand (-3*q**3 + q**3 + q**3)*(2*q - 3*q + 2*q) + 0*q**3 - 2*q**4 + 0*q**3 + (-2*q + q + 0*q)*(q**3 + 0*q**3 - 4*q**3) - 3*q**4 + 7*q**4 + 0*q**4. 4*q**4 Expand 4*n - 3*n - 2*n + (-6 + 3 + 1)*(-2 + 2 + 2*n) - 11*n + 3*n - 17*n. -30*n Expand (13 + 1 + 10)*(2*y**3 - 2*y**3 - y**3). -24*y**3 Expand (-3 + 6 + 0)*(2*n - 2*n - n)*(n**3 - 2*n**3 - 4*n**3). 15*n**4 Expand -4*j**3 + 3*j**3 - 6*j**3 + (j + j**3 - j)*(4 - 6 + 4) + (-j**2 + 2*j - 2*j)*(-2*j + 3*j - 2*j). -4*j**3 Expand (6*g - 2*g - 3*g)*(2*g - 8*g - 5*g**2 + 4*g). -5*g**3 - 2*g**2 Expand -28*s**2 + 195*s - 195*s + (-s - 1 + 1)*(s - s - s) - 2 - s**2 + 2. -28*s**2 Expand (-6*o**2 + 5*o**2 - 4*o + 2*o**2)*(2*o + 4*o - 3*o). 3*o**3 - 12*o**2 Expand (-27*w**2 - 7*w**2 - 14*w**2)*(2 + 0 + 0) - 3*w + 2*w**2 + 3*w. -94*w**2 Expand (13 - 63 + 22)*(2*p**2 + p**2 + 0*p**2). -84*p**2 Expand 7*s**3 - 20*s - s**3 + 19*s + (-s + s + 2*s)*(0*s + 0*s + 2*s**2) + s - s**3 - s. 9*s**3 - s Expand -2*u**2 + 2*u**2 - u**3 + (4*u**2 - 3*u**2 - 3*u**2)*(-2*u - 3*u + 3*u) - 258 + 258 - 11*u**3. -8*u**3 Expand (-1 + 0 + 4)*(0 - 2 + 9*l - 2*l). 21*l - 6 Expand (-2 + 2 - s**2)*(0 + 0 - 2*s)*(0 - 4 + 3 - 2 + 2 - 2 + (0 + 3 - 1)*(0 + 4 - 5)). -10*s**3 Expand (3*v + v - 3*v)*(-6*v**3 - 7*v**3 + 14*v**3 + (4*v**2 - 5*v**2 - v**2)*(2*v + 4*v - 4*v) + v**3 + 2*v - 2*v + 3*v**3 - 6*v**3 + 2*v**3). -3*v**4 Expand (-q + 2*q + 3*q)*(-2*q**3 - q**2 + q**2). -8*q**4 Expand (a - 4 + 4)*(0 - a + 0)*(-8 + 0 + 3)*(4 + 1 + 1). 30*a**2 Expand (-2 + 1 - 1 - 4*s**2)*(s**2 + 0*s**2 + 3*s**2). -16*s**4 - 8*s**2 Expand 4*n**4 - 3*n**4 - 3*n**4 + 0*n**4 + 2*n**4 + 0*n**4 + (n**2 - 3*n**2 - n**2)*(-4*n**2 + 4*n**2 - n**2). 3*n**4 Expand (5 + 1 - 12)*(4 + 2 - 5)*(-2*z**3 - z**3 + z**3). 12*z**3 Expand (3 - 3 + 1)*(-7 + 6 + 7)*(-4*a**3 + 2*a**3 + a**3). -6*a**3 Expand (3*x - 5*x + 4*x)*(-x**4 - 4*x**4 + x**4) + 2*x**5 - 3*x**5 + 0*x**5 - x**2 + 4*x**5 + x**5 - 6*x**5. -10*x**5 - x**2 Expand (-2 + 2 + 1)*(p - 3 + 3)*(p**3 - p**3 - 2*p**4). -2*p**5 Expand (t**2 - 3*t + 3*t)*(5*t + 2*t**2 + 6*t - 12*t). 2*t**4 - t**3 Expand (-29 + 29 + 29*b)*(-6 + 2 + 3)*(2*b + b - 2*b). -29*b**2 Expand (-4 + 4 + 2*s)*(2*s**2 + 2*s**2 - 2*s**2) + 3 - 2*s**3 - 3 + 0*s**2 + 0*s**2 + s**3 + s**3 - 8*s**3 - 2*s**2 + 2*s**3 - s**3 - 2*s + 2*s. -3*s**3 - 2*s**2 Expand (4*v**3 - 4*v**3 + 5*v**3)*(4 - 5 + 3) - 3*v**3 - 2*v**3 + 4*v**3. 9*v**3 Expand (-s + 0*s - 3*s)*(-3*s**3 - s**3 + 3*s**3). 4*s**4 Expand (-k**2 + k**2 + 2*k**2)*(2*k + k - k) - k**3 + 6*k**3 - 3*k**3 - 4*k**3 + 3*k**3 + 2*k**3. 7*k**3 Expand (-4*a**2 + 3*a**2 + 0*a**2)*(3*a - 4*a + 2*a) + a**3 + 2*a**3 - a**3 + 0*a**3 - 2*a**3 + 3*a**3 + 2*a**3 - 2*a**2 + 2*a**2 + 7*a - 7*a**3 - 7*a. -3*a**3 Expand (4*i**2 - i + i)*(1 + 2*i - 1) - 2 - 23*i**2 + 59*i**2 - i**3 - 30*i**2. 7*i**3 + 6*i**2 - 2 Expand (-u**2 - 2*u**2 - u**2)*(4*u**2 + 0*u**2 - 3*u**2) + 0*u**4 + 4*u**4 - 2*u**4. -2*u**4 Expand -6*a**5 + 92*a**2 - 92*a**2 + (2 - 1 + 1)*(-a**5 - a**5 + a**5) - 2*a**5 - a**5 + 2*a**5. -9*a**5 Expand (-g + g - 2*g)*(-3 + 7 - 3)*(0*g - 2*g + 4*g)*(1 + 2 - 4). 4*g**2 Expand ((-12 - 1 + 4)*(3 - 7 + 3) + 2 + 0 - 1 + 1 + 1 - 4)*(2*v - 2*v - 3*v). -24*v Expand (j - 1 + 1)*(7 + 2 - 2)*(j**2 - 2*j**2 + 0*j**2). -7*j**3 Expand -2*n**5 + 25*n**2 + 0*n**5 - 22*n**2 + (4*n - 4*n + n**2)*(4*n**3 + 0*n**3 - n**3). n**5 + 3*n**2 Expand (-4 + 4 + 2)*(-5*q**2 - 15*q**2 + 6*q**2). -28*q**2 Expand (-4 + 1 + 4)*(-4*r**4 - r**4 + 2*r**4)*(-3 + 4 + 2). -9*r**4 Expand (-1 - 1 + 5)*(-5 + 4 + z + 3) + 2*z - 3*z + 2*z + (-2*z + 3*z + z)*(4 - 2 - 1) - 1 + 1 + 2*z. 8*z + 6 Expand (-k**2 - 2*k**2 - k + 2*k**2)*(-3*k - 5*k + 3*k). 5*k**3 + 5*k**2 Expand 4*x - 5*x + 4*x + 4*x + 0*x - 3*x + 1 + x - 1 + (5 + 0 - 3)*(-3 + 3 - x) - 3*x + 2*x + 4*x. 6*x Expand (4*u**2 + 5*u**2 - 6*u**2)*(2*u**3 - 3*u**3 + 2*u**3). 3*u**5 Expand (4 + 6 - 5)*(6*g**3 + 18*g**3 - 8*g**3). 80*g**3 Expand (-1 - 3 + 0)*(-2*n + 2*n - n)*(n**4 - 2*n**4 - 2*n**4). -12*n**5 Expand (-2*n - n + n)*(7 - 7 - 2*n)*(-2 + 0 + 3)*(n - 8*n - n). -32*n**3 Expand (-5*u**2 + 2*u**2 + 0*u**2 + 4*u**2 + 4*u**2 - 6*u**2 + (8 + 1 + 4)*(4*u**2 + 3*u**2 - 6*u**2))*(3 - 3 - 3*u**2). -36*u**4 Expand 0*t + t - 3*t + 1 + 4*t + t - 6*t + 2*t - 4*t + t + 4*t + 2*t - 4*t + (0*t + t + 0*t)*(-2 + 1 - 1) + 0*t + t - 2*t - 5*t - t + 4*t. -7*t + 1 Expand (-1 - 1 + 5)*(-2*o + o**3 + 2*o) + 10 - 10 + o**3 + (-1 + 2 + 1)*(0*o**2 - o**3 + 0*o**2). 2*o**3 Expand -5*v**3 + 4 - 5 + 2*v**3 + 0 + 3*v**3 + 0 + (-v + 0*v + 0*v)*(-5 + 5 - 2*v**2) + 0*v**3 + 3*v**3 - v**3 - 3*v + 3*v - v**3. 3*v**3 - 1 Expand (x + 2*x - x)*(4*x**2 - 2*x**2 - 5*x**2) + x + 2*x**3 + 4*x**2 - 4*x**2. -4*x**3 + x Expand (2*l**3 + l**3 + 0*l**3)*(-2*l + 0*l + 3*l)*(-1 + 1 - 2*l). -6*l**5 Expand (-2*t - 3*t + 0*t)*(2 + 0 - 1) + (3 - 2 - 2)*(2*t + 0*t - 5*t). -2*t Expand (-145 + 87 + 87)*((2 - 2*g - 2)*(-g**2 + 5*g**2 - 5*g**2) + 2*g - 2*g - g**3). 29*g**3 Expand (-2*k**2 + 2*k**2 + 4*k**3)*(-1 - 3 + 5)*(-4*k + 2*k + 5*k). 12*k**4 Expand -3 + 3 + 3*w + (1 + 0 + 0)*(2*w - w + 0*w) + (0 - 3 + 2)*(2*w + 0*w - 3*w). 5*w Expand (-62*m - 92*m + 56*m - 228*m)*(2*m + 4*m - 4*m). -652*m**2 Expand 1 + 2 - 7*n - 1 + (-4 + 1 + 2)*(-2 - n + 2) - 3*n + 4*n + n. -4*n + 2 Expand (0*v**2 - 2*v**2 - v**2)*(-2 - 2*v**2 + 2) + (v**2 + 2*v - 2*v)*(-4*v**2 + 2*v**2 + 0*v**2) + (2 - 2 + v)*(v**3 - 6*v**3 + 3*v**3). 2*v**4 Expand (7 + 5 - 4)*(-3 + 1 + 5)*(-g + 3 - 3). -24*g Expand (2*q**2 + 1 - 1)*(-2*q**2 + 0*q**2 + 3*q**2) + (3*q**4 - 2*q**2 + 2 + 2*q**2)*(-3 - 2 + 1). -10*q**4 - 8 Expand (6*w**2 + 9*w**2 - w**2)*(1 + 4 - 4). 14*w**2 Expand (-2 + 2 - 4*c**2)*(-1 + 5 - 2 + 1 + 1 - 1 + 3 - 1 - 1 + (-1 - 4 + 3)*(-1 + 2 + 1) + 1 - 1 - 2). 8*c**2 Expand (-5 - 2*j + 5 - 2*j - 2 + 2 + (2 + 0 - 3)*(-3 + 3 + 2*j) + 2*j - 6*j + 2*j)*(4*j**2 - 5*j**2 - 11*j**2). 96*j**3 Expand -2*y**3 + y**2 - y**2 + 5*y**3 - 2*y**3 - y**3 + (3 - 2*y - 3)*(2*y**2 - 2*y**2 - y**2) + y - y + y**3. 3*y**3 Expand (-2*f + 0*f + 7*f)*(-6*f**2 + 6*f**2 - 9*f**3). -45*f**4 Expand (-4*i - 5 + 5)*(-i + i - 2*i + (-4 - i + 4)*(5 - 2 - 2) + 0*i - i + 0*i). 16*i**2 Expand -y**2 - y**2 - 8*y**2 + (y - 3*y + 0*y)*(-y + 0*y + 0*y). -8*y**2 Expand 3*h**3 - 5*h**3 + 3*h**3 + 4*h**3 + 31*h**2 - 31*h**2 + (3 - 3 - h**2)*(3*h - 2*h - 2*h) + h**3 - h + h + (2*h**2 + 2*h - 2*h)*(4*h + 0*h - 3*h). 9*h**3 Expand (3*n + 4*n - 3*n)*(6 - 2 - 2) + 4 + n + 0*n - 2. 9*n + 2 Expand (-3 + 0 + 0)*(-4 + 3*l + 4)*(-l + 0*l + 4*l)*(5 - 4 - 2). 27*l**2 Expand (-1 - 9 + 3)*(2 - 2 + 1)*(5*p - 5*p - p). 7*p Expand (2*m + 3*m - 3*m)*(0 + 6 - 2) + (4*m - 4*m + 2*m)*(0 + 1 + 2). 14*m Expand -d**4 + 2*d**4 - 4*d**4 + (0 + 0 - 2*d)*(0*d**3 + 2*d**3 - d**3). -5*d**4 Expand (-5 - 3*l**3 + 5)*(2*l**2 + 1 - 1) - 5*l**4 + 5*l**4 + 2*l**5 + (-3*l**3 - 3*l**3 + 4*l**3)*(0 + 2*l**2 + 0) + 4*l + l**5 + 0*l**5 - 2*l. -7*l**5 + 2*l Expand (-3*i + 2*i + 3*i)*(-3 + 2 + 0 + (-3 + 0 + 4)*(-4 + 3 - 2))*(-1 + 4 + 0). -24*i Expand (-2 + 3 + c**3 + 1)*((-5 + 4 - 1)*(6 - 2 - 2) - 6 + 4 + 3 + 0 - 5 + 3). -5*c**3 - 10 Expand (0*j + 0*j + j)*(-4*j + 4*j + j**2)*(-j - j + j). -j**4 Expand (2 - 6*w - 2 - 2 - 2*w + 2 + (2 + 0 - 4)*(-4 + 2*w + 4))*(3*w**2 - 3*w**2 - 2*w**2). 24*w**3 Expand (0*v**4 + v**4 - 2*v**4)*(-2*v + 1 - 1) + 79*v**2 + 127*v**5 - 79*v**2. 129*v**5 Expand 12*i**3 - i**3 - i**2 - 3*i**3 + (2*i**2 + i**2 - 2*i**2)*(-5*i + 2*i + i). 6*i**3 - i**2 Expand (3 + 6*h + 12 - 11)*(2*h - 3*h + 3*h). 12*h**2 + 8*h Expand (-20 + 20 + 10*n**4 + (2 - 2 - n**3)*(-3*n + n + 4*n) - n**4 + 4*n**3 - 4*n**3 + (3*n + 0*n - 4*n)*(-2*n**2 + 2*n**2 + n**3))*(2 + 5 - 4). 18*n**4 Expand (-t - t + t)*(-t + 3 - 3) - t**2 - 2*t**2 + 2*t**2 + (2 + 0 - 1)*(-2*t**2 + 3 - 3). -2*t**2 Expand ((-c**2 - 2*c + 2*c)*(2*c**2 - 4*c**2 + c**2) + 0*c**4 - 4*c**4 + 6*c**4 + 2*c**3 + 8*c**4 - 2*c**3)*(4*c + c + 0*c). 55*c**5 Expand (3*o**2 - 2 + 2)*(-1 + 3 + 0 + (1 - 2 + 2)*(0 + 3 - 1) + 10 + 0 - 2). 36*o**2 Expand (-2*a + a + 2*a)*(a - 2*a + 2*a) + 6*a - 2*a**2 - 6*a + (-6 + 2 + 2)*(2*a**2 - 4 + 4) + 1 - a**2 - 1 + 2*a**2 + 4*a - 4*a. -4*a**2 Expand (-100 - 6*t + 100 + (-2 - 1 + 2)*(0*t + 2*t + 0*t) - 1 + t + 1)*(0 - 3 + 6). -21*t
{ "pile_set_name": "DM Mathematics" }
*b - 5*q. Suppose 3*z - 86 = -2*j, -4*z = 5*j - b + 57. Is 13 a factor of j? False Let m be (-74)/(-4) + (-2)/4. Suppose -f + m = -0*f. Is f a multiple of 9? True Let w(c) = c**3 + 7*c**2 - 4*c. Let k be (7/(-2))/(1/2). Is w(k) a multiple of 9? False Let f be (2/(-5))/((-1)/(-10)). Let g be (2/f)/(1/(-4)). Let m(h) = 2*h**2 + 3*h - 3. Does 11 divide m(g)? True Suppose -131 = -2*m + 51. Is 24 a factor of m? False Let f = 43 + -14. Suppose 3*s + 34 = -f. Is 12 a factor of s*(-5)/(45/6)? False Let a be (1 - 1) + (-3 - -1). Let t be -4 + (2 - -1) + a. Let l = 8 + t. Is 3 a factor of l? False Let r = -1 + 3. Let w(d) = 0*d**2 - 4 + 8*d + d**r - 5. Does 8 divide w(-11)? True Let p(s) = s**2 + s - 16. Does 5 divide p(6)? False Suppose 3*i = -3*p + 165, 4*p = -0*i - 5*i + 225. Is p/15*(-48)/(-10) a multiple of 4? True Let n(h) = -h**3 + h + h + 5*h - 4 + 5*h**2. Let b be n(6). Suppose -24 = -2*r - b. Does 11 divide r? True Suppose -159*m = -164*m + 125. Is 5 a factor of m? True Let t(r) be the second derivative of r**3/6 + 13*r**2/2 - 2*r. Let p = -5 + -1. Is t(p) a multiple of 4? False Let h = -121 + 214. Does 19 divide h? False Let k = 9 - -159. Is 24 a factor of k? True Let h(d) = d**2 + 10*d + 2. Let k be h(-11). Suppose 4*g + a - 15 = 9, -g + k = 2*a. Suppose -7*l = -3*l, -g*n = 3*l - 110. Does 8 divide n? False Suppose -480 = -4*c - 0*c. Let k = -51 + c. Is k a multiple of 23? True Let t(n) = n**3 - 9*n**2 + 9*n - 6. Let y be t(8). Suppose -u = 14 + y. Is (u/(-10))/((-4)/(-10)) even? True Let v(r) = 7*r + 1. Let n be v(2). Let a = n - 11. Suppose -i = a*p - 103, 0 = 2*i + 3*i + 5. Is p a multiple of 13? True Let b = -6 + 35. Is 4 a factor of b? False Is 15 a factor of (2 + 18)*12/32*12? True Let q = -21 - -15. Is ((-42)/(-9))/(q/(-27)) a multiple of 13? False Suppose 0 = -a - 135 + 19. Let g = -53 - a. Is 21 a factor of g? True Suppose -3*f + 415 + 329 = 0. Is 22 a factor of f? False Let f = -41 - 2. Is 3 + -3*f/3 a multiple of 23? True Suppose 0 = u - 5*h - 10, 2*u - 3*h + 5*h = 8. Suppose -5*c + 61 = -u*f - 64, -4*c + 98 = -5*f. Is 19 a factor of c? False Let q(b) = -b**3 + 8*b**2 + 9*b + 5. Let c be q(9). Suppose 0 = 4*m - j - 191, 250 = c*m - 0*j + j. Does 11 divide m? False Suppose 6*l = l - 5*u + 170, -26 = -l - 5*u. Suppose -l = -3*o + o. Is 18 a factor of o? True Let m(l) = -l**3 + 9*l**2 + l - 9. Let t be -18*(5/2)/(-5). Let g be m(t). Suppose g*i + 13 = i. Is 13 a factor of i? True Suppose 0 = 2*p - 7 - 1. Is p a multiple of 4? True Let i = -16 + 56. Suppose -2*x - 3*x = -i. Does 8 divide x? True Let s(k) = 4*k + k - 4*k + 12. Let j be s(-9). Suppose j*m = -m + 28. Is 5 a factor of m? False Let o(w) be the third derivative of -w**6/120 + 7*w**5/60 - w**4/6 - 7*w**3/6 + 3*w**2. Is o(6) a multiple of 2? False Let u(o) = -o - 9. Let g be u(-11). Suppose -40 = -v + 3*m - m, -g*m = -4*v + 178. Does 14 divide v? False Suppose 3*t - 38 = t. Does 11 divide t? False Let w = 3 - -1. Does 4 divide w? True Let l = 1 - -11. Suppose l = d + 3*d. Suppose 0 = -d*a - 0*a + 75. Does 7 divide a? False Suppose 20 = -0*i + i + p, -20 = -i - 3*p. Does 6 divide i? False Let p be (-1)/(-3) + (-3)/9. Suppose p = -3*q - 6, 2*t - 24 = q. Suppose -20 = -5*h - 2*d, 2*d + d - t = 2*h. Does 2 divide h? True Let y = 32 - 21. Does 2 divide y? False Suppose 35 - 11 = 3*v. Is 8 a factor of v? True Suppose -4*k = 7 - 23. Suppose -4*m - 2*r = -321 - 71, 4*r = k*m - 368. Is 32 a factor of m? True Suppose -5*o = -7*o + 50. Is o a multiple of 7? False Let a(r) = -r**2 - 3*r + 30. Is a(0) a multiple of 6? True Suppose -4*n + 9 = -3. Suppose n*c - 2*w = -8, 3*c + 4*w = 2*c - 26. Let y = c - -15. Is 9 a factor of y? True Suppose -2*j = 4*k - 54, 0 = -2*k + 3*j + 4 + 3. Is k a multiple of 9? False Suppose 35 = 5*w - 0*w. Let x = w - 5. Suppose 4*z + 3 = 3*u, -z - 13 = -2*z - x*u. Is 3 a factor of z? True Let d(s) = s + 6*s**2 + s**3 - 4*s + s + 1. Is 18 a factor of d(-5)? True Suppose 4*f = -63 - 29. Suppose -132 = -3*h + 5*j, 2*h + 4*j + 129 = 5*h. Let p = f + h. Is p a multiple of 11? False Suppose -3*x - 5*d = -207, -5*x + 244 = -x - 4*d. Is 8 a factor of x? True Suppose c - 6 = -c. Suppose c*i = 7*i - l - 36, -3*l + 28 = 5*i. Is i a multiple of 4? True Suppose -2 = 2*w - 0. Let g be (0 + -2 - w)*-36. Suppose 0*q + 4*i = 4*q - 16, 5*q - i = g. Does 8 divide q? True Let t(w) = 2*w + 1. Let g be t(-2). Let y(s) = -2*s**3 - 4*s**2 - 2*s. Let l be y(g). Does 15 divide (4/2)/2 + l? False Let n = -5 - -4. Let l be (-6)/(-3) - (n + -1). Is 4 a factor of (3 - -3)/(3/l)? True Let w(j) = -5*j - 6. Is w(-10) a multiple of 23? False Suppose -2*x + 0*x = -10. Suppose x = -p + 23. Does 8 divide (p/(-5))/(6/(-40))? True Suppose -i + 5*s - 8 = -3, 5*i + s = 1. Suppose -4*t + 4*f + 0*f + 68 = i, 35 = 5*t + 5*f. Is t a multiple of 12? True Let q = 29 + 68. Is q a multiple of 37? False Let v be ((-4)/(-6))/((-2)/(-3)). Let u = 13 + -26. Let f = v - u. Does 7 divide f? True Suppose g = -0*g. Suppose g = -7*f + 6*f + 3*i + 60, -4*f + 4*i = -200. Does 15 divide f? True Let v(i) = -37*i. Let b be v(4). Is 4/(-18) + b/(-18) a multiple of 4? True Let q be (-3*2)/((-4)/(-6)). Let j = 9 + q. Let y = j + 11. Is y a multiple of 3? False Suppose -4*k - v - 2 = -3, -2*k + 11 = -3*v. Is 10 a factor of (0 + k)*1 + 37? False Let h be 2 + 8*(-3 - 6). Let a be h/(-6) + (-5)/(-15). Suppose -8*y + 4*y = -a. Does 2 divide y? False Let l = 89 + -25. Suppose t + z = l, -t + 88 = -3*z - 2*z. Suppose h - 5*h + t = 0. Is 7 a factor of h? False Let g be 659/5 - 1/(-5). Suppose 0 = -5*k - 12 + g. Let v = k - 14. Does 5 divide v? True Suppose k - 5*t = 27, 7*t = 3*k + 5*t - 16. Suppose 3*q + k*b = -2, -2*q + 7 = -5*q - b. Is q + 3 - (-20 - 1) a multiple of 6? False Suppose 0*c + 2 = h + c, 2*h + 4*c = 0. Let t(f) = 3*f**2. Let u be t(-2). Suppose -u + 42 = 3*m - h*j, -3*j - 10 = -m. Does 4 divide m? False Let n(s) = s**3 - 10*s**2 + 9*s - 2. Let b be n(9). Is ((184/4)/b)/(-1) a multiple of 13? False Let o = 127 + -74. Is 5 a factor of o? False Let f = -17 + 30. Suppose -189 + f = -4*w. Does 22 divide w? True Is 23 a factor of (-2664)/(-38) - 12/114? False Let r be ((-510)/12)/(2/(-8)). Suppose 2*x - 7*x = -r. Let v = -20 + x. Does 7 divide v? True Let s be ((-20)/(-6))/((-2)/(-24)). Suppose 0 = 4*q - 28 - s. Is q a multiple of 7? False Let f(q) = q - 1 + 7*q**2 - q**2 + q**3 + q. Suppose -4 = 3*j - 2*j. Is 10 a factor of f(j)? False Let a(v) = 2*v - 1. Let i be a(2). Suppose 4*l - 13 = -4*u + 3*u, 0 = -l - i*u + 6. Is 3 a factor of l? True Let d(n) = -n**3 - 4*n**2 + 2*n + 3. Does 9 divide d(-5)? True Suppose -5*i = 10, 4*t - i = 2*t + 54. Is 13 a factor of t? True Suppose -4*n - 20 = 0, 0*b - 3*b - 19 = 5*n. Let h(j) = -2 + 5*j**b + j**2 + 3 + j. Is 3 a factor of h(-1)? True Does 43 divide (0 + 2/(-6))/((-36)/9288)? True Suppose -100 = 2*m - 3*m + 3*q, -100 = -m - q. Does 17 divide m? False Suppose 0 = -5*m + 4*n + 46, -3*n + 5*n - 2 = 0. Is 9 a factor of m? False Is 13 a factor of 102/4 - (-13)/26? True Does 21 divide 22 + 0 - (-1)/(-1)? True Let t = -5 - -12. Does 19 divide 57/(t/2 + -2)? True Let w be -17*(-4 + 1)/3. Let r be 0 + 0 + w - -2. Suppose 3*t - 11 = r. Does 9 divide t? False Let i be -3*8/(-36)*3. Suppose i*p = 4*q + 120, -5*p = -2*p - q - 165. Is 18 a factor of p? True Suppose -4*c + 5*v + 495 = 0, c - 4*v - 123 = -2*v. Suppose -2*i = 3*h + 1 - c, -3*h + 2*i + 116 = 0. Is h a multiple of 8? True Let m = -15 + 33. Is 12 a factor of m? False Suppose -c - 5*k + 38 = c, -5*c - 5*k = -80. Does 14 divide c? True Let w(g) = g**2 - 11*g - 6. Is 6 a factor of w(12)? True Let g(a) = -a**3 - 3*a**2 - 3*a. Let y be g(-4). Suppose 2*h + 2*h + 12 = -4*r, 4*h - 4*r - y = 0. Suppose h*n - 120 = -3*n. Is n a multiple of 12? True Let l(f) be the first derivative of f**4/4 + 7*f**3/3 + f**2 + 9*f - 3. Does 21 divide l(-6)? False Let r = 0 + 3. Let n = -5 + r. Is (3/6)/(n/(-96)) a multiple of 12? True Let j be (2/5)/((-1)/(-5)). Let r(b) = -4*b. Let d be r(-1). Suppose j*p - 28 + d = 0. Is 4 a factor of p? True Suppose 5*t + 20 = -5*u, -4*u + 2*t = 27 + 19. Let o = 24 - u. Is o a multiple of 23? False Suppose 5*n - 329 = -3*t, -25 = -t - 5*n + 78. Does 33 divide t? False Suppose 0*u = -2*u - 28. Let b = u + -13. Let p =
{ "pile_set_name": "DM Mathematics" }
*n**3 Let z be (2/(-6))/(6/(-18)). Suppose 0 = -2*d + z + 3. Find the third derivative of 3*n**2 - 3*n**2 - d*n**2 + n**3 - 2*n**3 wrt n. -6 Suppose 14*i + 20 = 4*i. Let c(m) = 47*m**3 - 3. Let x(l) = -49*l**3 + 2. Let w(q) = i*x(q) - 3*c(q). What is the first derivative of w(d) wrt d? -129*d**2 Let x(z) = -z**3 - 10*z**2 + 3. Let k be x(-10). Suppose k - 6 = -q. Find the third derivative of -5*t**4 + 0*t**4 + 8*t**6 + 5*t**4 - q*t**2 wrt t. 960*t**3 Let n(k) = -k**2 - 19*k - 16. Let g be n(-18). What is the second derivative of -2*a**g - 261 + 128 + 133 - 6*a wrt a? -4 Suppose 3*d + 3*d - 294 = 0. What is the first derivative of 96*l**2 + 11 - d*l**2 - 47*l**2 + 20*l**4 wrt l? 80*l**3 Let v(i) be the second derivative of -23*i**5/4 - i**3/2 + 23*i**2/2 - 29*i. Find the second derivative of v(l) wrt l. -690*l Suppose 3*o - 9 = -0*o. What is the third derivative of 0*x**3 - 10*x**2 - 5*x**2 + 10*x**3 - 5*x**o wrt x? 30 Let t(y) = -13*y**5 - 3*y**4 - 261*y**2 + 6*y. Let v(h) = -h**2 + 2*h. Let k(n) = t(n) - 3*v(n). Find the third derivative of k(w) wrt w. -780*w**2 - 72*w Find the second derivative of -1654*c**3 + 802*c**3 - 199*c + 823*c**3 wrt c. -174*c Let o(g) be the second derivative of -g**8/672 - g**6/40 - 3*g**4/2 + 15*g. Let v(l) be the third derivative of o(l). Find the second derivative of v(a) wrt a. -60*a Let s be 3 + (2/16)/(42/(-868)). Let r(u) be the second derivative of -3/2*u**2 + 0 + 0*u**3 + s*u**4 + 6*u. What is the derivative of r(d) wrt d? 10*d Suppose 0 = -56*u + 57*u - 4. What is the second derivative of 24*v**4 - 7*v + 26*v - 18*v**u wrt v? 72*v**2 Let j(o) be the first derivative of 305*o**6/3 - 33*o**2 - 334. What is the second derivative of j(m) wrt m? 12200*m**3 Let u(i) = -301*i**3 + 2*i**2 - 3*i - 24. Let a(s) = -602*s**3 + 5*s**2 - 6*s - 49. Let b(q) = 2*a(q) - 5*u(q). Find the second derivative of b(o) wrt o. 1806*o Let c(x) be the second derivative of 13*x**7/6 + 235*x**4/12 + x**2/2 - 149*x. What is the third derivative of c(d) wrt d? 5460*d**2 Let i(b) = 10*b - 4. Let x(n) = n + 1. Let t(p) = -2*p - 2. Let l(g) = -3*t(g) - 5*x(g). Let m(j) = i(j) - l(j). What is the derivative of m(a) wrt a? 9 Let u(b) be the first derivative of -23*b**4/4 + b**3/3 + 30*b - 34. What is the third derivative of u(m) wrt m? -138 Let n be 287/(-5330) - (-4)/26. Let m(y) be the second derivative of 0 + 0*y**2 + 5/12*y**4 + 4*y + n*y**5 + 0*y**3. What is the third derivative of m(d) wrt d? 12 Let g(t) = -t**4 + t**3 - 2*t**2 + t. Let z(u) = -70*u**4 + 22*u**3 - 44*u**2 + 22*u + 110. Let r(h) = 44*g(h) - 2*z(h). What is the derivative of r(l) wrt l? 384*l**3 Let f(n) = -307*n**4 - 7*n**3 + 7*n + 33. Let s(r) = 205*r**4 + 5*r**3 - 5*r - 22. Let a(i) = 5*f(i) + 7*s(i). Find the first derivative of a(t) wrt t. -400*t**3 Let f(h) = 181*h**4 - 3*h**3 - 148*h**2. Let w(l) = -182*l**4 + 4*l**3 + 147*l**2. Let s(n) = 4*f(n) + 3*w(n). What is the third derivative of s(m) wrt m? 4272*m Let b(w) = 1317*w**2 + 16*w + 947. Let i(z) = -438*z**2 - 6*z - 316. Let s(y) = -3*b(y) - 8*i(y). Differentiate s(n) with respect to n. -894*n Let i(f) = -287*f**3 + 198*f**2 + 5*f - 5. Let x(m) = -287*m**3 + 199*m**2 + 4*m - 4. Let b(s) = 4*i(s) - 5*x(s). Find the third derivative of b(j) wrt j. 1722 Suppose -4*i + 64 = -4*m, 4*m - 3 = -19. What is the second derivative of -6*p - i*p**4 - p**4 - 3*p**4 - p wrt p? -192*p**2 Let s(h) be the first derivative of 14/5*h**5 + 19 + 0*h**3 + 0*h**4 - 15/2*h**2 + 0*h. Find the second derivative of s(u) wrt u. 168*u**2 Let o(d) = 13*d**5 + 5*d**4 + 144*d**2 + 2*d + 5. Let f(u) = u**4 + 1. Let l(g) = 5*f(g) - o(g). What is the third derivative of l(s) wrt s? -780*s**2 What is the second derivative of j - 226*j**3 + 10 - 20 + 12 - 30*j wrt j? -1356*j Let w = 30 - 26. Find the second derivative of 2*v + 7 + 39*v**4 - 27 - v**w wrt v. 456*v**2 Let i = -18 + 11. Let g be -4*(14/4)/i. Find the first derivative of 2 + 6 + l**2 - g wrt l. 2*l Find the third derivative of -22*a**3 - 1992 + 21*a**3 + 17*a**5 + 2005 + a**2 wrt a. 1020*a**2 - 6 Suppose -b + 5 - 3 = 0. What is the third derivative of -16*v**2 - v + v + 13*v**2 + b*v**4 wrt v? 48*v Let z(t) be the third derivative of 7*t**6/12 - 3*t**5/5 - t**4/12 + 86*t**2. Find the third derivative of z(x) wrt x. 420 What is the third derivative of -621*h**2 + 3*h - 3*h - 169*h**2 + 776*h**3 - 74*h**2 wrt h? 4656 What is the second derivative of 37*c + 8 + 101*c**2 - 161*c + 36*c**2 - 7 wrt c? 274 Let i(c) be the third derivative of 707*c**6/120 - 286*c**3/3 + 692*c**2. What is the first derivative of i(q) wrt q? 2121*q**2 Let z(f) be the first derivative of f**6 + 13*f**4/12 - 28*f - 23. Let t(s) be the first derivative of z(s). Find the third derivative of t(x) wrt x. 720*x Let q(p) be the second derivative of -11*p**5/10 - 57*p**2/2 + 2*p - 6. What is the first derivative of q(d) wrt d? -66*d**2 What is the third derivative of -70*g + 7*g**4 + 70*g - 2*g**3 + g**3 + 77*g**2 wrt g? 168*g - 6 Let l(f) be the first derivative of 37*f**2 + 44*f - 74. Differentiate l(h) wrt h. 74 Let h(k) be the second derivative of -3*k - 6*k**2 + 0*k**3 - 17/12*k**4 + 0. Find the first derivative of h(q) wrt q. -34*q Let t(j) be the third derivative of 131*j**5/60 + 97*j**4/12 + 276*j**2 - 1. Find the second derivative of t(l) wrt l. 262 Let r(a) = 8*a**4 - 47*a**3 + 609*a**2. Let x(h) = -6*h**4 + 31*h**3 - 406*h**2. Let v(p) = 5*r(p) + 7*x(p). What is the third derivative of v(w) wrt w? -48*w - 108 What is the second derivative of 48*t - 178*t + 1 + 23*t + 27*t**2 - 215*t wrt t? 54 Let s(j) = -2*j**3 - 4*j**2 - 4*j + 1. Let f be s(-3). Find the third derivative of 4*y**3 + 3*y**3 - 7*y**3 + f*y**2 - y**3 wrt y. -6 Let v(w) be the first derivative of -w**2/2 - 6*w - 7. Let i be v(-6). Differentiate -5*r**2 - 4*r**2 + i*r**2 - 9 + 4*r**2 with respect to r. -10*r Let z(o) = -9*o**4 + 139*o**3 - 97. Let g(d) = 14*d**4 - 208*d**3 + 145. Let w(s) = 5*g(s) + 8*z(s). Differentiate w(q) wrt q. -8*q**3 + 216*q**2 Suppose 4*p - 45 = -9. Let a(r) = -40*r**2 - 3*r. Let n(t) = 81*t**2 + 7*t. Let m(d) = p*a(d) + 4*n(d). What is the second derivative of m(g) wrt g? -72 Let k(s) = 5*s**2 + 5*s**3 - 4*s**3 + 3*s + 18 - 18. Let i be k(-4). Find the second derivative of 25*q**i + 14*q - 48*q**4 + 10*q**4 wrt q. -156*q**2 Let t(p) be the second derivative of -153*p**4/4 - 35*p**3/6 - 3*p**2/2 + 381*p. What is the second derivative of t(h) wrt h? -918 Let l(c) be the third derivative of c**8/336 - 3*c**5/10 - c**4/6 - 2*c**3/3 + 29*c**2. What is the second derivative of l(x) wrt x? 20*x**3 - 36 Let d(c) be the first derivative of 11*c**3/3 - 3*c**2 + 51*c + 95. What is the first derivative of d(w) wrt w? 22*w - 6 Differentiate -3*d**2 + d**2 - 2*d - 19*d**2 + 11 + 41 wrt d. -42*d - 2 Let r(o) be the first derivative of -418*o**7/7 - 50*o**3/3 + 2*o + 112. What is the third derivative of r(p) wrt p? -50160*p**3 Suppose -a + 2*i = -2*a + 20, -5*i = -2*a + 76. Find the third derivative of 27*t**4 + 11*t**4 - a*t**2 + 7*t**4 - 13*t**4 wrt t. 768*t Let j(h) be the third derivative of -7*h**2 + 0 + 0*h + 37/60*h**5 + 3/2*h**4 + 0*h**3. Find the second derivative of j(g) wrt g. 74 Suppose -2*h = 6, -5*h = t - 6*t + 35. What is the second derivative of 7*i**4 + 34*i - 11*i - t*i wrt i? 84*i**2 Let n = -13 - -16. Suppose -n*l + 6 = 2*h, 4*l + 17 = 5*h + 48. Find the third derivative of 107 - 107 + 2*t**4 - l*t**2 wrt t. 48*t Let h(i) be the third derivative of i**7/30 - i**6/40 + 80*i**3/3 + i**2 - 28*i. Find the first derivative of h(t) wrt t. 28*t**3 - 9*t**2 Let j(l) be the third derivative of -16*l**2 + 0*l**5 - 1/10*l**6 + 0 + 0*l**4 + 0*l - 1/3*l**3. Differentiate j(t) with respect to t. -36*t**2 Let a(n) be the second derivative of 23*n - 1/6*n**4 + 0*n**2 + 0 + 0*n**5 + 19/30*n**6 + 0*n**3. Find the third derivative of a(b) wrt b. 456*b Let f be (-73)/(-4) + (-7)/28. Suppose 0 = -2*a + 3*z + f, 0 = 4*a + 6*z - 3*z. What is the derivative of 5 - a*h - 3 - h wrt h? -4 Let a(f) be the first derivative of -52*f**6/3 - 123*f**2/2 + 90. Find the second derivative of a(p) wrt p. -2080*p**3 Let s(a) = -268*a**3 - 3*a**2 + 5*a - 371. Let x(v) = 803*v**3 + 8*v**2 - 14*v + 1112. Let k(z) = 8*s(z) + 3*x(z). Find the first deri
{ "pile_set_name": "DM Mathematics" }
**3 + 2*n**2 + 4*n. Give 3*m(r) + 12*z(r). 54*r**3 + 6*r**2 Let i be (((-5)/(-3))/((-10)/30))/1. Let x(l) = -8*l. Let p(o) = -3*o - 6. Let t(n) = -4*n - 5. Let s(c) = -5*p(c) + 6*t(c). Give i*x(d) + 4*s(d). 4*d Let q(i) = -60*i**2 + 3 + 124*i**2 - 65*i**2 - 2 - 4*i. Let r(h) = 5*h - 2. Give -3*q(x) - 2*r(x). 3*x**2 + 2*x + 1 Let j(k) = -8*k**2 - 6*k. Let z(m) = -9*m**2 - 7*m. Let p = 9 - 15. Determine p*z(u) + 7*j(u). -2*u**2 Let v(j) be the first derivative of 1/2*j**2 + 1 + 8/3*j**3 + 2*j. Let a(g) = 7*g**2 + g + 2. Let c be 94/14 - 8/(-28). Determine c*a(b) - 6*v(b). b**2 + b + 2 Let g(v) = -11*v**2 - 4*v - 9. Let b(m) = 3*m - 25 + 6*m**2 + 30 - m. Let z = -5 + 7. Suppose z*y - 5 - 3 = 0. Determine y*g(o) + 7*b(o). -2*o**2 - 2*o - 1 Let s be -1*(0 + -1) - -1. Let y(g) = 0 - 1 + s. Let n(t) = -t + 4. Let b be (-3)/6*(-4)/2. Calculate b*n(z) - 3*y(z). -z + 1 Let y(i) = -8*i + 25. Let u be (-2 + (-31)/(-2))*(-28)/(-42). Let q(g) be the second derivative of g**3/3 - 3*g**2 - 7*g. Give u*q(o) + 2*y(o). 2*o - 4 Let s(c) = -3*c**3 - 6*c**2 + 13*c - 6. Let n(m) = 5*m**3 + 11*m**2 - 24*m + 11. What is 6*n(a) + 11*s(a)? -3*a**3 - a Let q(s) = -22*s + 3. Let x(i) = -8*i + 2. Give -3*q(r) + 5*x(r). 26*r + 1 Let z(f) be the first derivative of 2*f**2 - 4*f + 182. Let d(j) be the first derivative of -j**2/2 + j + 3. Calculate -3*d(i) - z(i). -i + 1 Let v(p) = 12*p - 147. Let k be v(12). Let n(u) = 5*u**2. Let q(j) = 6*j**2. Give k*n(c) + 4*q(c). 9*c**2 Let j = 121 + -124. Let g(i) = 2*i**2 + i. Let x(v) = 2*v**2 + v - 1. What is j*x(s) + 2*g(s)? -2*s**2 - s + 3 Let z(q) = -4*q**3 + 2*q - 50. Let v(n) = -3*n**3 + 2*n - 51. What is -6*v(m) + 5*z(m)? -2*m**3 - 2*m + 56 Let v(a) = -2*a + 5. Let m(s) = -1. Suppose 83*r = 57*r - 104. Suppose 5*n = -4 - 1. Determine n*v(u) + r*m(u). 2*u - 1 Let d(c) be the second derivative of 0*c**2 + 0 - 1/10*c**5 + 0*c**4 - 2*c - 1/2*c**3. Let t(l) = 3*l**3 + 4*l. What is -6*d(q) - 5*t(q)? -3*q**3 - 2*q Suppose -4*h = 2*h - 12. Suppose -u + h*z = -5 - 10, 35 = 3*u - 4*z. Let m(i) = -3. Let f(a) = -a + 7. What is u*m(v) + 2*f(v)? -2*v - 1 Let t(z) be the first derivative of -3*z**2/2 + z + 7. Suppose 0 = -2*u - 14. Let b(o) = -5*o + 2. Give u*t(k) + 4*b(k). k + 1 Let t(z) = -32*z**2 - 3*z - 6. Let b(x) = 48*x**2 + 4*x + 10. What is 5*b(w) + 8*t(w)? -16*w**2 - 4*w + 2 Let o(m) = -5*m**3 - 5*m**2 - 2*m - 2. Let x(b) = 12*b**3 + 10*b**2 + 4*b + 4. Determine -5*o(n) - 2*x(n). n**3 + 5*n**2 + 2*n + 2 Let x(s) = -s**3 + s**2 + 1. Let l(w) = -14*w**3 + w**2 - w + 1. Suppose -5*i - 2*d + 13 = 0, 17 = -3*i - 18*d + 23*d. Determine i*x(u) - l(u). 13*u**3 + u Let r(y) = -6*y**3 - 7*y + 7. Let j be 3*(0 + -1) + -4. Let b(s) = -s + 5*s**3 + 6*s + s - 6. Let l = 895 - 901. Determine j*b(n) + l*r(n). n**3 Let s(w) = -209*w - 21. Let p(t) = -t + 8. Give -3*p(v) - s(v). 212*v - 3 Let b(y) = 14*y + 20. Let h(s) = 68*s + 100. Give -24*b(g) + 5*h(g). 4*g + 20 Let k(y) = 2*y**3 + 2*y**2 + 6*y + 3. Suppose -52*f + 65 = -39. Let n(a) = -3*a**3 - 2*a**2 - 5*a - 2. What is f*k(o) + 3*n(o)? -5*o**3 - 2*o**2 - 3*o Let y(m) = 2*m**3 - 2*m**2 + 2*m + 1. Let d(x) = -15*x**3 + 8*x**2 - 10*x - 7. Give d(j) + 5*y(j). -5*j**3 - 2*j**2 - 2 Let s(y) = -29*y**2 - y - 2. Let o(z) = -28*z**2 - z - 2. Determine -6*o(a) + 7*s(a). -35*a**2 - a - 2 Let o(a) be the first derivative of -3*a**2/2 + 3*a + 114. Let s(d) = 3*d - 2. Calculate -4*o(q) - 6*s(q). -6*q Let c(q) = 32*q**3 - 11*q**2 + 20. Let k(y) = -11*y**3 + 4*y**2 - 7. Determine 4*c(r) + 11*k(r). 7*r**3 + 3 Let s(a) = -3*a**2 - 80*a. Let f(z) = 13*z**2 + 322*z. Calculate 2*f(u) + 9*s(u). -u**2 - 76*u Let p(q) = -16*q**2 + 3*q - 9. Let t(h) = -8*h**2 + h - 4. Let y(m) = 4*p(m) - 9*t(m). Let v(f) = 25*f**2 + 10*f. Give 3*v(s) - 10*y(s). -5*s**2 Let q(d) = 11*d - 12. Let r(b) = b - 1. What is q(p) - 2*r(p)? 9*p - 10 Let z = -8 - -10. Suppose 5*i + 5*a = 30, -z*i + 3*a = -a. Let q(n) = 6*n**3 - 5*n - 6. Let k(h) = h**3 - h - 1. Calculate i*k(w) - q(w). -2*w**3 + w + 2 Let q(a) = 2*a. Let j(d) = 30*d - 1. Calculate -2*j(l) + 10*q(l). -40*l + 2 Let r(p) = 17*p**2 + 7*p + 9. Let t(o) = 874*o**2 - 865*o**2 - 1 + 4*o + 6. Calculate -4*r(j) + 7*t(j). -5*j**2 - 1 Let a(t) = 19*t**2 + 2*t - 10. Let x(w) = 60*w**2 + 7*w - 31. Give 10*a(s) - 3*x(s). 10*s**2 - s - 7 Let r(n) = -10*n**2 + n + 4. Let j(k) = -39*k**2 + 5*k + 17. Give -2*j(z) + 9*r(z). -12*z**2 - z + 2 Let s(m) = -21*m**3 + 24*m**2 - 24*m + 24. Let f(y) = -3*y**2 + y**3 + y**2 + 29 + y - 30 + y**2. Calculate 72*f(d) + 3*s(d). 9*d**3 Let k(w) = -3 + 7 - 5. Let r(a) = 6 + 2*a - 4 - 5*a. Let o(x) = -x**3 + 4*x**2 + 2*x - 5. Let u be o(4). Determine u*k(q) + r(q). -3*q - 1 Let j(p) = 62*p**2 - 3*p + 1. Let g(u) = 122*u**2 - 5*u + 2. Determine 3*g(a) - 5*j(a). 56*a**2 + 1 Let t(o) = -2*o**3. Let p(y) be the second derivative of 3*y**5/20 + 3*y. Let s(z) = z**3 - 13*z**2 - 17*z + 38. Let u be s(14). Determine u*p(x) - 5*t(x). -2*x**3 Let z(c) = 6*c**2 - 14*c. Suppose -89 + 29 = 12*u. Let r(v) = 2*v**2 - 5*v. Give u*z(t) + 14*r(t). -2*t**2 Let p(n) be the third derivative of n**4/6 + 5*n**3/6 + 30*n**2. Let a(o) = o + 1. Let s(t) = t**2 - 11*t + 3. Let c be s(11). Determine c*a(j) - p(j). -j - 2 Suppose 4*s = -3*o + 10, -s + 35 = 3*o - 2*s. Let q(l) = l + 0 + 5 - 1 + 2. Let v(i) be the second derivative of -i**2/2 - i. What is o*v(m) + 2*q(m)? 2*m + 2 Let d(h) = 14*h**2 + 11*h. Let l(g) = -5*g**2 - 4*g. Let n be 2*(35/(-14) + 3) + 10. What is n*l(w) + 4*d(w)? w**2 Let f(u) = 4*u + 10. Let q be (-2)/2*(0 - 5/(-1)). Let h(g) = -2*g + 4. Let b(c) = c + 1. Let i(s) = -5*b(s) - h(s). Calculate q*f(l) - 6*i(l). -2*l + 4 Suppose 4*m + 30 - 10 = 0, -4*f = 5*m + 17. Let k(h) = 4*h**2 - h - 2. Let p(n) = -5*n**2 + 2*n + 3. Let g = 18 - 15. Determine f*p(d) + g*k(d). 2*d**2 + d Let z(r) = 4*r + 11. Let n(j) = 9*j + 23. Let p = 23 - 18. Calculate p*z(g) - 2*n(g). 2*g + 9 Let z(f) = 6*f**2 - 4*f - 5. Let l(s) = 5*s**2 - 3*s - 4. Suppose -20*a = -91 + 31. Calculate a*z(t) - 4*l(t). -2*t**2 + 1 Let b(s) = 6026 - 6028 + 924*s - 925*s. Let g(c) = -4*c + 10. Let k(u) = 3*u - 7. Let z(v) = 5*g(v) + 7*k(v). Determine -5*b(l) - 10*z(l). -5*l Let b(a) = -1. Let d(u) = -u - 11. Let k(m) be the first derivative of m**2/2 - m - 16. Let f(w) = -d(w) + k(w). Give 20*b(o) + 2*f(o). 4*o Let x(p) = -2*p - 46. Let j be x(-24). Let h(b) = b - 1. Let o(g) be the third derivative of -2*g**3/3 + 28*g**2. Determine j*h(u) - o(u). 2*u + 2 Let j(r) = 271 - 133 - 137 - 2*r + r. Let q(y) be the third derivative of y**4/24 - 2*y**2. Give -3*j(a) - 4*q(a). -a - 3 Let g(l) = l. Let n(y) = -2*y**3 - 8*y**2 + 6*y + 1. Give 5*g(u) - n(u). 2*u**3 + 8*u**2 - u - 1 Let l be (-2)/(-6)*(-4 + 34). Suppose 0*b - 3*b - 14 = 2*m, -4*m = -3*b + l. Let n(d) = -1. Let w = 3 - 4. Let y(g) = g**2 + g + 2. Calculate b*n(o) + w*y(o). -o**2 - o Let t(w) = 24*w**3 + 15*w + 15. Let r(y) be the second derivative of -3*y**5/10 - 2*y**3/3 - 2*y**2 - 2*y + 47. What is -15*r(f) - 4*t(f)? -6*f**3 Let p(v) = -5. Let u(f) = -6. Let k(n) = -5*p(n) + 4*u(n). Let b(l) = 7*l + 4. Let z(a) = b(a) + k(a). Let m(r) = -3*r - 2. Determine -10*m(c) - 4*z(c). 2*c Let c(r) = -2*r**2 - 27. Let o(w) = w**2 + 27. Determine 4*c(i) + 6*o(i). -2*i**2 + 54 Let d(h) = -55*h**3 + h - 4. Let a(x) = 54*x**3 - 2*x + 6. What is 3*a(n) + 4*d(n)? -58*n**3 - 2*n + 2 Let s(m) = m**2 - m. Suppose 2*u + 3*l - 24 = 0, 13*u - 18*u + 10 = -5*l. Let f(r) = -2*r**3 - 4*r**2 + 6*r + 1. Determine u*s(o) + f(o). -2*o**3 + 2*o**2 + 1 Let u(r) = -4*r - 3. Suppose -5*k + 3*l = 84 - 14, 5*k + 5*l + 70 = 0. Let m(b) = b + 1. Determine k*m(x) - 4*u(x). 2*x - 2 Let m(r) = 15*r + 7. Let z(p) = -4*p - 53. Let l be z(-12). Let h(a) = -10*a - 5. Give l*m(o) - 7*h(o). -5*o Let h = -1372 - -1369. Let m(z) = -z**3 - 6*z + 4. Let a(l) = l**3 + 3*l - 2. What is h*m(p) - 5*a(p)? -2*p**3 + 3*p - 2 Let f(j) = -j**2. Let x(a) = -158*a**2 - 168*a**2 + 325*a**2. What is 5*f(l) - 2*x(l)? -3*l**2 Suppose 0*f = -r - 5*f + 50, 2*f - 296 = -5*r. Let x = -59 + r. Let z(h) = 7*h - 5. Let t(k) = k - 1. Determine x*z(j) - 6*t(j). j + 1 Let k(z) = z + 4. Let g(j) = 240*j - 180. Give -g(x) - 45*k(x). -285*x Let n(v) be the second derivative of v**5/10 - 5*v**4/12 + 5*v**3/6 - v**2 + 103*v. Let q(m) = -3*m**
{ "pile_set_name": "DM Mathematics" }
increasing order. -4, 1, 267, 137577 Sort 3, -1/118070, 7 in increasing order. -1/118070, 3, 7 Put 0.1, 199, 6.7 in ascending order. 0.1, 6.7, 199 Put 1, -623.15, 0.68, 0.5 in increasing order. -623.15, 0.5, 0.68, 1 Sort 8, -45082, -7, 1 in increasing order. -45082, -7, 1, 8 Put 4, -0.3, 1150, 4/9, 3/7 in increasing order. -0.3, 3/7, 4/9, 4, 1150 Sort -4, 6, -62133, 3, -2, -3, 4 in descending order. 6, 4, 3, -2, -3, -4, -62133 Put 4186, 34, 960 in decreasing order. 4186, 960, 34 Put 3, -97839, -5, 0, 26 in increasing order. -97839, -5, 0, 3, 26 Sort 18910, -5, 9, -30 in descending order. 18910, 9, -5, -30 Sort -5, -0.077, -0.1, -588724 in ascending order. -588724, -5, -0.1, -0.077 Put 13424, 1, 72/13 in decreasing order. 13424, 72/13, 1 Sort -17, -1/4, 47, 1270 in descending order. 1270, 47, -1/4, -17 Sort -16, -1, -61, 0, 5. -61, -16, -1, 0, 5 Put 44126, -1/5, -1 in decreasing order. 44126, -1/5, -1 Sort -16882, 0, 26, 3, 5. -16882, 0, 3, 5, 26 Sort -4, -1/12, 1.239, 18/127, 29 in ascending order. -4, -1/12, 18/127, 1.239, 29 Sort 272, -1, 3, 215, -11, 1 in descending order. 272, 215, 3, 1, -1, -11 Put 247/2, 2, -6/14281, 0.4, -0.1 in decreasing order. 247/2, 2, 0.4, -6/14281, -0.1 Sort -6496, 17, 11 in descending order. 17, 11, -6496 Sort 1/3, -1.5, -1691, 3, -1/297. -1691, -1.5, -1/297, 1/3, 3 Sort 2, -14, -775746 in decreasing order. 2, -14, -775746 Sort 2, 3851, 45/7. 2, 45/7, 3851 Put -7906, -6, 0, -1, -25 in descending order. 0, -1, -6, -25, -7906 Sort 15165, -1, 13, 5. -1, 5, 13, 15165 Sort 41, 0, 23, -100, 5 in decreasing order. 41, 23, 5, 0, -100 Put 48, -4, 86638 in ascending order. -4, 48, 86638 Sort 0.04, -366.399, 0.4 in descending order. 0.4, 0.04, -366.399 Put -7, 2/5, 1/8, -4, -0.3, 33/2 in ascending order. -7, -4, -0.3, 1/8, 2/5, 33/2 Sort 1/8100, -0.1, -9/16. -9/16, -0.1, 1/8100 Sort 1, -3, 18, 1167143 in descending order. 1167143, 18, 1, -3 Sort 2, 3, -108, 142, -9 in decreasing order. 142, 3, 2, -9, -108 Put 34, 11, 3898 in decreasing order. 3898, 34, 11 Put 3, -3, -541, -2, 99 in increasing order. -541, -3, -2, 3, 99 Put 3, -6315945, -5, 2 in ascending order. -6315945, -5, 2, 3 Put -2, 0, 25898937 in decreasing order. 25898937, 0, -2 Sort 124, 2/403231, 0.1. 2/403231, 0.1, 124 Put 0.02, -0.03, 0, -1, 530 in decreasing order. 530, 0.02, 0, -0.03, -1 Sort 2/9, 0.2, -28956830 in increasing order. -28956830, 0.2, 2/9 Sort 13, 3757366, 2 in descending order. 3757366, 13, 2 Put -5, -144, -532, 6, -2 in decreasing order. 6, -2, -5, -144, -532 Sort 1965, 2, 0, -2116. -2116, 0, 2, 1965 Put 5, -2, 2, 32, 1, -22 in decreasing order. 32, 5, 2, 1, -2, -22 Put -3, -1153, -4470, 0 in increasing order. -4470, -1153, -3, 0 Sort -3/97, 7, 5, 2, -124, 5/4. -124, -3/97, 5/4, 2, 5, 7 Sort 145069, -4, 4, -2, -5. -5, -4, -2, 4, 145069 Sort 471, -20, -2, 23, 11, 2 in descending order. 471, 23, 11, 2, -2, -20 Put 787, 0.03, -78/281 in decreasing order. 787, 0.03, -78/281 Put -148, -29, 2, -8, -17 in descending order. 2, -8, -17, -29, -148 Sort -2/267, -5, 0.9, 0.073. -5, -2/267, 0.073, 0.9 Put 4, 2, 2.9, 8.425, -6 in decreasing order. 8.425, 4, 2.9, 2, -6 Sort -3, 188, 2/15, 3, 57/13, 4 in descending order. 188, 57/13, 4, 3, 2/15, -3 Put -14, 248, -1378 in descending order. 248, -14, -1378 Sort 0, 22, 2, -4, -3582 in ascending order. -3582, -4, 0, 2, 22 Put -3, -12250, -44, -5 in decreasing order. -3, -5, -44, -12250 Put -1023, 1, 19, 4, 2, 0 in descending order. 19, 4, 2, 1, 0, -1023 Sort 0, 5, 1, -9, 414, -86 in decreasing order. 414, 5, 1, 0, -9, -86 Put 3181, -0.2, 2, 1, 0.4 in decreasing order. 3181, 2, 1, 0.4, -0.2 Sort -1, -7, -5, -2, 9, 4, 1. -7, -5, -2, -1, 1, 4, 9 Sort 2, 3.8979, 1675, -0.2. -0.2, 2, 3.8979, 1675 Sort -0.04, 2.4693, -2/11, -0.02. -2/11, -0.04, -0.02, 2.4693 Sort -6, -13, 2, -4567 in decreasing order. 2, -6, -13, -4567 Put 0.04365, -92, -0.151 in decreasing order. 0.04365, -0.151, -92 Put -2, -13, -11037 in descending order. -2, -13, -11037 Sort 182002, -1/6, 2/15, -4, -1 in decreasing order. 182002, 2/15, -1/6, -1, -4 Sort -0.8, 2595, -5.4 in decreasing order. 2595, -0.8, -5.4 Put 13, -1/4, -0.11, 1064, -0.3 in ascending order. -0.3, -1/4, -0.11, 13, 1064 Put 513, 0, 45159 in increasing order. 0, 513, 45159 Sort 181, -1, -2, 5, 7, 3 in increasing order. -2, -1, 3, 5, 7, 181 Sort 1, -5, 19, -39, -20 in descending order. 19, 1, -5, -20, -39 Sort 2, 1037, 6203, -3. -3, 2, 1037, 6203 Sort 2/9, 895, -3, 1, 5. -3, 2/9, 1, 5, 895 Put 0.0817, 0.04, -358, -5, -0.2 in increasing order. -358, -5, -0.2, 0.04, 0.0817 Sort -0.1, 126770, 69, 4. -0.1, 4, 69, 126770 Put -6, 213, 1.5, 0, 3 in increasing order. -6, 0, 1.5, 3, 213 Put 4, 17, 11, -53, -8, -5, 2 in decreasing order. 17, 11, 4, 2, -5, -8, -53 Sort 1388, 1, -11848, -3, -5, -2. -11848, -5, -3, -2, 1, 1388 Sort -2, -6/11, -7, 92245, 2/5. -7, -2, -6/11, 2/5, 92245 Put -7, -2, -9, -3, 124189, 5 in descending order. 124189, 5, -2, -3, -7, -9 Sort 37, 0, 2, -3, -25, -2.7 in ascending order. -25, -3, -2.7, 0, 2, 37 Sort 131/204, -3, 1.23, 4. -3, 131/204, 1.23, 4 Put -23, 1, -65, -5, 4, -2 in descending order. 4, 1, -2, -5, -23, -65 Put -3, -1669, -4, -2, 2, -333 in descending order. 2, -2, -3, -4, -333, -1669 Sort 2, 1681/5, -5, -2/3, 0.01, -18 in decreasing order. 1681/5, 2, 0.01, -2/3, -5, -18 Sort 5/1529, 1, -0.322. -0.322, 5/1529, 1 Sort 1, 17, -1, -94, 3, -267 in decreasing order. 17, 3, 1, -1, -94, -267 Sort 8, 0, 610, -115, -11 in decreasing order. 610, 8, 0, -11, -115 Put 42, -3, -43, -2, -5 in increasing order. -43, -5, -3, -2, 42 Sort 152, -5, 3, 100, 0, -147 in ascending order. -147, -5, 0, 3, 100, 152 Sort -469, -30, -0.19, -10 in ascending order. -469, -30, -10, -0.19 Sort -2, 71, 310, -6, -1. -6, -2, -1, 71, 310 Put 70, 20045, 2, -1 in increasing order. -1, 2, 70, 20045 Sort -2, 2199574, 5, 2 in decreasing order. 2199574, 5, 2, -2 Sort -2, 29, 2, -10, 238 in ascending order. -10, -2, 2, 29, 238 Sort -13, -1, 45, -4, -370. -370, -13, -4, -1, 45 Sort -5, -27, 4, -4, 571999 in ascending order. -27, -5, -4, 4, 571999 Sort -82503, -3, -6, 4 in descending order. 4, -3, -6, -82503 Put 8, -7, -3, 0, 39, 6 in descending order. 39, 8, 6, 0, -3, -7 Sort -471, -5, 73, 6, -3. -471, -5, -3, 6, 73 Put 1, -0.54, 99.65, -5 in descending order. 99.65, 1, -0.54, -5 Put -0.5, 58887, -16/5 in descending order. 58887, -0.5, -16/5 Sort 5, 7, -5, -4, 6, 4436 in increasing order. -5, -4, 5, 6, 7, 4436 Put -3, 17106, -5, -1, -2, -56 in decreasing order. 17106, -1, -2, -3, -5, -56 Sort -5, 20723, 12, -4, -26 in increasing order. -26, -5, -4, 12, 20723 Sort -2085/8, -9, -19 in decreasing order. -9, -19, -2085/8 Put 0, -5/4, 79, 0.5, -4/325 in descending order. 79, 0.5, 0, -4/325, -5/4 Sort 4, 7, -20, 315 in increasing order. -20, 4, 7, 315 Put -169, -51, 2, 151, 1, 5 in increasing order. -169, -51, 1, 2, 5, 151 Sort -2, 6306, -31, -1/9 in ascending order. -31, -2, -1/9, 6306 Put 102, 5, 201 in decreasing order. 201, 102, 5 Put -9, -3, -4, -23, -8 in decreasing order. -3, -4, -8, -9, -23 Sort -12, 5/2, -641420 in descending order. 5/2, -12, -641420 Put -41, -0.1, 0.08, 45083 in descending order. 45083, 0.08, -0.1, -41 Sort 4, 0, -42, -6, 1, 5 in descending order. 5, 4, 1, 0, -6, -42 Sort 22, 30, -5, -416, -15 in increasing order. -416, -15, -5, 22, 30 Put -5, 3, -3, -30, 15, -1374 in descending order. 15, 3, -3, -5, -30, -1374 Sort 5, 201913, -2, 7. -2, 5, 7, 201913 Sort 2/9, 7, 1/3, -2/13, 1/507647. -2/13, 1/507647, 2/9, 1/3, 7 Sort 0.06, 3/5, -682092 in descending order. 3/5, 0.06, -682092 Sort 65, -3, 4, 1618, -2 in increasing order. -3, -2, 4, 65, 1618 Put 5, -1, -3212592 in ascending order. -3212592, -1, 5 Sort -5, -8/27, -1, -0.37, -24 in ascending order. -24, -5, -1, -0.37, -8/27 Put -1, -6015, 51, 2, 4, 5 in decreasing order. 51, 5, 4, 2, -1, -6015 Sort -670, 4881, 0.5, 0.02 in descending order. 4881, 0.5, 0.02, -670 Sort -4, 23, -1, 1, -1837 in descending order. 23, 1, -1, -4, -1837 Put 148, 13, 11, 29 in increasing order. 11, 13, 29, 148 Sort 1272, 105, -7 in descending order. 1272, 105, -7 Put -653898, 6, 2, -10 in ascending order. -653898, -10, 2, 6 Put 1/70, 0.31793, 0.2 in descending order. 0.31793, 0.2, 1/70 Put -2, -183, -18596 in decreasing order. -2, -183, -18596 Sort 2/13, 1
{ "pile_set_name": "DM Mathematics" }
o(x)? -7*x Let o(z) = 81*z**3 - 51*z**2 + 21*z + 21. Let p(j) = 8*j**3 - 5*j**2 + 2*j + 2. Let s = 5832 - 5834. Determine s*o(l) + 21*p(l). 6*l**3 - 3*l**2 Let n(d) = -18*d**2 + 47*d - 26. Let q(u) = 13*u**2 - 47*u + 24. What is -3*n(c) - 4*q(c)? 2*c**2 + 47*c - 18 Let g(p) = -p. Let t be 26/(-39) - (-10)/6. Let y(c) = c. Let z(h) = 158*h - 312. Let a be z(2). Calculate a*g(v) + t*y(v). -3*v Let z(f) = f**3 + f**2 - f - 2. Let d(p) = -4*p**3 - 5*p**2 + 5*p + 8. Suppose -3*w - 3*i + 4 = 22, -6 = -2*i. Calculate w*z(q) - 2*d(q). -q**3 + q**2 - q + 2 Let f(k) = -11*k + 556. Let t(j) = 11*j - 656. Calculate -3*f(a) - 2*t(a). 11*a - 356 Let d(q) = -13*q**2 - 15*q - 45. Let y(f) = 4*f**2 + 5*f + 14. Let x(c) = 2*d(c) + 7*y(c). Let g(b) = -2*b**2 - 6*b - 9. Determine -5*g(l) - 6*x(l). -2*l**2 - 3 Let s(o) = -o + 1. Let v(p) = -374*p - 369*p - 385*p + 1122*p - 45. Calculate 5*s(t) - v(t). t + 50 Let w(z) = 16*z - 16. Let r = -8 - -13. Suppose -2*n + 11 = 5. Let f(l) = n + 0 + 2*l - r*l. What is -11*f(y) - 2*w(y)? y - 1 Let m(y) = -7*y - 5. Let r(p) = 388*p + 17. What is -2*m(f) - r(f)? -374*f - 7 Let v(b) = 232 - 110 - 13*b**2 - 125. Let w(g) = 1. Determine -v(u) - 3*w(u). 13*u**2 Let i(p) = -4*p**2 - p - 4. Let q(g) = -1. Suppose -22*c + 97 = -35. Let f(w) = w**3 - 5*w**2 - 3*w - 19. Let k be f(c). Calculate k*i(a) + 5*q(a). 4*a**2 + a - 1 Let m = -3291 - -3281. Let j(s) = -5*s + 7. Let q(p) = 16*p - 22. Give m*j(w) - 3*q(w). 2*w - 4 Let j = -31868 + 31870. Let g(n) = 4*n**2 - n + 3. Let l(q) = -21*q**2 + 5*q - 16. Give j*l(x) + 11*g(x). 2*x**2 - x + 1 Let c(s) = 4*s**3 - 3*s**2 - 2. Let r(b) = -9 + 12 - 2*b**3 - b**3 + 4*b**2 - 2*b**3. Let z(g) = -g**3 + g**2 - 2*g - 4. Let t be z(0). What is t*c(i) - 3*r(i)? -i**3 - 1 Let i(m) = 6*m**3 + 8*m**2 - 23*m - 464. Let g(u) = -13*u**3 - 18*u**2 + 50*u + 927. What is -4*g(a) - 9*i(a)? -2*a**3 + 7*a + 468 Let u(t) = t**2 + t. Let v(r) be the first derivative of -11*r**3/3 - 3*r**2 - 1. Suppose -441*k = -869*k + 442*k - 14. Calculate k*v(n) + 6*u(n). -5*n**2 Let o(h) = -24*h + 38 + 12*h - 36 - 4*h**2 + h**3. Suppose 17 - 41 = -4*j. Let l be o(j). Let b(u) = -2*u. Let f(n) = 3*n - 1. What is l*f(x) + 5*b(x)? -4*x - 2 Let z be (-1 - 0)*2 + 7. Let j(t) = -9*t + 2. Let n(i) be the second derivative of -4/3*i**3 + 2 + i**2 + 29*i. Calculate z*j(g) - 6*n(g). 3*g - 2 Let m = 25914 + -25920. Let p(l) = -8*l**2 + 20. Let o(v) = -1 - 1 + v**2 - 1. Calculate m*p(t) - 40*o(t). 8*t**2 Let x(n) = 2*n - 7. Let c(r) be the first derivative of -r**2/2 + 6*r - 142. Suppose -5*s - 9 = 5*w + 21, -2*s = 3*w + 18. What is w*x(f) - 7*c(f)? -5*f Let f(i) = -9*i + 5. Let a(o) = 3*o + 48. Let p(b) = 3*b + 38. Let h(m) = -4*a(m) + 5*p(m). Give 2*f(g) + 7*h(g). 3*g - 4 Let x(m) = 13*m - 6. Let y(r) = -61*r - 7. Let k(q) = -166*q - 20. Let i(h) = 4*k(h) - 11*y(h). Calculate 7*i(v) - 3*x(v). 10*v - 3 Let c(r) = 7*r**2 + 106*r + 9. Let u(n) be the first derivative of n**3 + 53*n**2/2 + 4*n - 7224. What is 2*c(x) - 5*u(x)? -x**2 - 53*x - 2 Let w = -21086 + 21091. Let l(m) = 3*m**3 + 5*m**2 - 2*m + 8. Let u(b) = -2*b**3 - 3*b**2 + b - 5. Give w*l(k) + 8*u(k). -k**3 + k**2 - 2*k Let w(s) = -s. Let o(a) = -6*a**3 - 15*a**3 - 8*a**3 - a**2 + 2*a + 35*a**3 - 7*a**3. Calculate o(p) + 4*w(p). -p**3 - p**2 - 2*p Let j(m) = 9*m + 2. Let l(t) be the first derivative of -t - 5/2*t**2 - 3. Suppose 2*i - 8*n + 4*n = -18, -3 = -5*i + 2*n. Calculate i*j(h) + 5*l(h). 2*h + 1 Let x(w) = -16*w**3 + 12*w + 3936. Let s(m) = -3*m**3 + 2*m - 1. Determine 6*s(i) - x(i). -2*i**3 - 3942 Let l(d) = -4*d + 428. Let m(n) = -7*n + 855. Calculate 11*l(h) - 6*m(h). -2*h - 422 Let j(n) = -15298*n**3 - 32*n**2 - 8*n - 16. Let r(d) = -2921919*d**3 - 6116*d**2 - 1529*d - 3058. Determine -1529*j(x) + 8*r(x). 15290*x**3 Let m(v) = 2*v**3 - 57*v**2 - 31*v + 46. Let k be (-100)/(-75)*(-87)/(-4). Let w be m(k). Let p(r) = r**2. Let y(g) = 2*g**3 - 6*g**2. What is w*p(h) - 2*y(h)? -4*h**3 Let s(g) = -5*g**2 + 5*g - 39. Let z(u) = -2*u**2 + u + 1. Give -s(t) + 3*z(t). -t**2 - 2*t + 42 Let n(t) = 2*t. Suppose 354 = -15*q + 9*q. Let j = q + -33. Let f = 90 + j. Let d(m) = 6*m + 1. What is f*d(a) + 5*n(a)? -2*a - 2 Let d(s) = -s**3 - 4*s**2 + 14*s. Let m(w) = -2*w. Suppose -3*h = -6, 7*x - 726 = 2*x + 2*h. Let p = 144 - x. Determine p*d(u) - 14*m(u). 2*u**3 + 8*u**2 Let n(u) = 7*u**2 - 6*u - 1. Let z(c) = 2*c**2 + c - 2. Calculate n(t) + z(t). 9*t**2 - 5*t - 3 Let r(j) = 9*j + 17. Let u be 40/2 + (34 - -5)/(-13). Suppose -o - 11 = 4*v, -4*v + u = 3*o + 50. Let m(z) = -5*z - 9. What is o*m(y) - 6*r(y)? y - 3 Suppose 2*c - 89 = 4*m - 77, 5*c = -3*m - 22. Let o(p) = 7*p + 5. Let k be 2 - (10*1)/2. Let b(u) = -8*u - 6. Calculate k*b(q) + m*o(q). -4*q - 2 Let c(m) = m - 1. Suppose 33*j + 2317 = 2218. Let u(p) = 5*p - 3. Let t(d) = 1. Let y(o) = -t(o) + u(o). Give j*c(w) + y(w). 2*w - 1 Let o(c) = 44*c + 1. Let l(n) = -382*n - 5. What is l(q) + o(q)? -338*q - 4 Let q(u) = 44*u - 3. Let w(y) be the first derivative of -198*y**2 + 28*y + 3543. Give -28*q(v) - 3*w(v). -44*v Let s(v) = 2810*v**2 - v + 15. Let y(h) = 1405*h**2 + 6. Calculate 2*s(r) - 5*y(r). -1405*r**2 - 2*r Let w(x) = 3 + 5*x - 2*x - 4 - x. Let u(v) be the third derivative of v**4/24 + 114*v**2 + 3*v + 37. Calculate -3*u(t) + w(t). -t - 1 Let r(l) = -7*l + 7. Let b(a) = -7*a + 7. Let t = 22197 + -22194. Give t*r(z) - 2*b(z). -7*z + 7 Let j(s) be the second derivative of -3*s**5/20 + 12317*s. Suppose l = 6*l. Let w(d) = -7*d**3 + l*d**3 + d**3. Calculate -9*j(y) + 5*w(y). -3*y**3 Let o(m) = 154*m - 1. Let k(s) = -780*s + 6. Give -2*k(p) - 11*o(p). -134*p - 1 Let p(s) = 668*s - 1343. Let t be p(2). Let l(f) = -3*f**2 + 2*f + 2. Let w(j) = 5*j**2 - 3*j - 3. What is t*l(v) - 4*w(v)? v**2 - 2*v - 2 Let g(j) = -66*j**2 + 59*j + 4. Let h(x) = -199*x**2 + 190*x + 13. Calculate 13*g(l) - 4*h(l). -62*l**2 + 7*l Let g(a) = -6*a**2 - a - 115. Let c(j) = 7*j**2 + j + 121. Give 4*c(k) + 5*g(k). -2*k**2 - k - 91 Let g(d) = -d**2 - 17*d + 8. Let h(i) = i**2 + 16*i - 5. What is 3*g(q) + 2*h(q)? -q**2 - 19*q + 14 Let r(k) be the third derivative of 13*k**4/24 + k**3 - 81*k**2. Let t(l) be the first derivative of l**2/2 + l - 8. Give r(b) - 5*t(b). 8*b + 1 Let t(b) = 3256*b**2 + 248*b - 46. Let h(l) = -362*l**2 - 27*l + 5. Give -92*h(n) - 10*t(n). 744*n**2 + 4*n Let g(a) = 7*a + 2. Let x(m) = -20*m - 6. Suppose 0 = 5*o + 26 + 4. Calculate o*x(y) - 17*g(y). y + 2 Let p(c) = -6*c - 4. Let g(f) = 2 - 26*f + 34*f - 5*f. Suppose 3*i - 4 = 8. Suppose 4 + i = -2*x. Calculate x*p(n) - 9*g(n). -3*n - 2 Let s(w) = -5*w + 15. Let v(t) be the second derivative of t**3/6 - 3*t**2/2 - t - 58. Calculate 4*s(l) + 22*v(l). 2*l - 6 Let c(y) = 2153*y + 138. Let g(j) = -2155*j - 160. What is -7*c(q) - 6*g(q)? -2141*q - 6 Let g(p) = -p - 2. Suppose -3*a + 31*a - 56 = 0. Let m(h) = -88 + 47 + 42 + a*h. Calculate -2*g(x) - 3*m(x). -4*x + 1 Let j(g) = 9*g**3 + 11*g - 8. Let s(m) = -m**3 - 1 - 4 + 30*m + 2 + 4*m**3 - 26*m. What is -4*j(l) + 11*s(l)? -3*l**3 - 1 Let c(z) = -3*z**3 - 2*z**2 - 14*z - 11. Let w(g) = 9*g**3 + 6*g**2 + 43*g + 31. Give -17*c(d) - 6*w(d). -3*d**3 - 2*d**2 - 20*d + 1 Let f be 5*(7 - (-798)/(-105)). Let d(q) = -2*q + 1. Let l(n) = 1. Let s(x) = x**2 - 3*x + 1. Let t be s(2). Determine f*l(z) + t*d(z). 2*z - 4 Let b(i) = 9*i**2 - 1314*i - 11. Let x(h) = 7*h**2 - 984*h - 8. What is 8*b(q) - 11*x(q)? -5*q**2 + 312*q Let t be -2 - 17/(-6) - 49/(-294). Let i be (-45)/(-5)*(-4)/3. Let s(a) = 20*a**3 - 12*a. Let k(g) = g**3 - g. What is i*k(r) + t*s(r)? 8*r**3 Let n(w) = -w**2 + w - 1. Suppose 3*k - 4*q = -38, 8*k + 40 = 3*k + 2*q. Let i(l) = 9*l**2 + 7*l - 6. Give k*n(t) + i(t). 15*t**2 + t Let z(t) = 1. Let i(j) = 23*j. Let k(u) = 2*u**2 - 48*u + 215. Let q be k(6). Calculate q*i(w) + 2*z(w). -23*w + 2 Let z(m) be the first derivative of -7*m**2/2 - 2*m + 4. Suppose 5*h + 35 = -5*i + 5, -5*i = 0. Let g(o) = -6*o - 2. Calculate h*g(a) + 5*z(a). a + 2 Let b(t) = -4*t**3 - 3*t**2 - 1. Let s(x) be the third derivative of 2/3*x**3 - 44*x**2 + 0*x + 1/8*x**6 + 0*x**4 + 11/60*x**5 + 0. What is 22*b(f) + 6*s(f)? 2*f**3 + 2 Let w(j) = -j**3 - j**2 + 2*j - 1. Let v(q) be the second derivative of -q**5/10 - q**4/4 + 5*q**3/6 - 3*q**2/2 - 466*q - 7. Calculat
{ "pile_set_name": "DM Mathematics" }
c = 0. -5, 0 Suppose -28*i**5 + 132*i**4 - 23*i**3 - 200*i**2 - 108*i - 16 = 0. Calculate i. -1/2, -2/7, 2, 4 Let 4*b**4 + 216*b**3 + 2448*b**2 - 12760*b + 10092 = 0. What is b? -29, 1, 3 Solve 4*r**3 + 524*r**2 + 16896*r - 17424 = 0 for r. -66, 1 Factor -5*m**4 + 5*m**3 + 30*m**2. -5*m**2*(m - 3)*(m + 2) Factor -w**4/8 + 13*w**3/8 - 25*w**2/4 + 4*w + 12. -(w - 6)*(w - 4)**2*(w + 1)/8 Suppose 2*k**2 - 74*k - 1176 = 0. Calculate k. -12, 49 What is o in 2*o**2/9 + 56*o/9 + 374/9 = 0? -17, -11 Factor -2*w**5/7 + 207*w**4/7 - 505*w**3/7. -w**3*(w - 101)*(2*w - 5)/7 Determine m so that -5*m**3 + 85*m**2 + 1800*m - 30780 = 0. -19, 18 Factor -10*o**3/7 - 8*o**2 + 24*o/7. -2*o*(o + 6)*(5*o - 2)/7 What is s in -115*s**3/3 - 12*s**2 + 4*s/3 = 0? -2/5, 0, 2/23 Solve -26*o**2/3 - 12*o - 10/3 = 0 for o. -1, -5/13 Let g**4/2 + 51*g**3/2 + 207*g**2 - 520*g = 0. What is g? -40, -13, 0, 2 Let 4*o**2/5 + 624*o/5 = 0. Calculate o. -156, 0 Factor -w**5/5 + 9*w**4 - 528*w**3/5 + 484*w**2/5. -w**2*(w - 22)**2*(w - 1)/5 Determine a so that 2*a**3/5 + 18*a**2/5 + 16*a/5 = 0. -8, -1, 0 Let -223729*j**2 + 946*j - 1 = 0. What is j? 1/473 Factor l**2 - 1448*l - 1449. (l - 1449)*(l + 1) Find n, given that -4*n**4 + 65*n**3 - 12*n**2 - 65*n + 16 = 0. -1, 1/4, 1, 16 Determine g so that 2*g**2 + 86*g + 560 = 0. -35, -8 Factor 2*q**2 - 20*q + 48. 2*(q - 6)*(q - 4) Factor -2*l**3 - 2*l**2 + 16*l + 24. -2*(l - 3)*(l + 2)**2 Factor -2*i**5/11 - 2*i**4/11 + 40*i**3/11. -2*i**3*(i - 4)*(i + 5)/11 Factor -3*s**2 + 45906*s - 175613403. -3*(s - 7651)**2 Factor -36*t**2/5 - 52*t/5 - 16/5. -4*(t + 1)*(9*t + 4)/5 Factor -p**5 + 15*p**4 - 83*p**3 + 209*p**2 - 240*p + 100. -(p - 5)**2*(p - 2)**2*(p - 1) Solve 2*m**2 + 22*m + 20 = 0 for m. -10, -1 Find s, given that -27*s**3/2 + 63*s**2/2 + 12*s = 0. -1/3, 0, 8/3 Find h such that -117*h**5 - 1137*h**4/4 + 2721*h**3/4 - 234*h**2 - 57*h + 12 = 0. -4, -1/4, 2/13, 2/3, 1 Let 2*v**3 + 170*v**2 + 4000*v + 16000 = 0. Calculate v. -40, -5 Factor -5*y**5 + 225*y**4 - 2640*y**3 + 2420*y**2. -5*y**2*(y - 22)**2*(y - 1) Factor -3*c**3/5 - 3*c**2/5 + 60*c + 60. -3*(c - 10)*(c + 1)*(c + 10)/5 Factor -m**2/6 - 865*m/3. -m*(m + 1730)/6 Factor -v**2 + 112*v - 3136. -(v - 56)**2 What is c in 2*c**5/3 + 2*c**4/3 - 76*c**3/3 - 24*c**2 + 48*c = 0? -6, -2, 0, 1, 6 Let a**4/5 - 46*a**3 - 1413*a**2/5 - 718*a/5 + 472 = 0. What is a? -5, -2, 1, 236 Solve -3*i**3/4 + 33*i**2/2 - 63*i/4 = 0. 0, 1, 21 Determine q, given that 5*q**2 + 5*q - 100 = 0. -5, 4 Factor 2*g**2/3 + 116*g/3 + 224/3. 2*(g + 2)*(g + 56)/3 Factor 3*u**2 + 2052*u + 350892. 3*(u + 342)**2 Factor -5*h**3 + 40*h**2 - 60*h. -5*h*(h - 6)*(h - 2) Determine w, given that -w**5 + 15*w**4 - 36*w**3 - 4*w**2 + 48*w = 0. -1, 0, 2, 12 Factor -2*b**2/5 - 4*b + 48/5. -2*(b - 2)*(b + 12)/5 Suppose -g**3/2 + 141*g**2 = 0. Calculate g. 0, 282 Factor 3*d**2 - 420*d + 14700. 3*(d - 70)**2 Find w such that 5*w**3 - 260*w**2 + 3625*w - 6250 = 0. 2, 25 Determine w, given that -w**3/2 + 57*w**2 - 222*w + 220 = 0. 2, 110 Factor -2*c**2/7 - 50*c + 352/7. -2*(c - 1)*(c + 176)/7 Solve 16*u**2 + 12*u - 4 = 0. -1, 1/4 Find u, given that 2*u**3/3 - 64*u**2 + 376*u/3 = 0. 0, 2, 94 Factor 4*q**2/7 + 5664*q/7 + 2005056/7. 4*(q + 708)**2/7 Factor -12*k**3/5 - 1154*k**2/5 - 5568*k - 4608/5. -2*(k + 48)**2*(6*k + 1)/5 Suppose -14*j**5/3 - 17*j**4/3 + 34*j**3/3 + 13*j**2/3 - 20*j/3 + 4/3 = 0. Calculate j. -2, -1, 2/7, 1/2, 1 Suppose -5*c**2 + 5650*c - 5645 = 0. Calculate c. 1, 1129 Suppose 2*v**2/13 + 3180*v/13 + 1264050/13 = 0. What is v? -795 Determine f, given that 4*f**3/5 - 396*f**2/5 - 852*f - 2180 = 0. -5, 109 What is i in i**2 + 62*i + 961 = 0? -31 Factor -l**5/5 + 19*l**4 - 722*l**3 + 13718*l**2 - 130321*l + 2476099/5. -(l - 19)**5/5 Determine k so that -5*k**5 + 5*k**4 + 20*k**3 - 20*k**2 = 0. -2, 0, 1, 2 Let g**2/6 - g + 3/2 = 0. Calculate g. 3 Solve -4*i**2 + 1172*i - 1168 = 0. 1, 292 Solve -2*i**3/3 - 4*i**2 - 22*i/3 - 4 = 0 for i. -3, -2, -1 Determine h, given that 10*h**5 + 98*h**4 + 1118*h**3/5 - 578*h**2/5 - 176*h - 40 = 0. -5, -2/5, 1 Find h, given that 2*h**5/15 + 28*h**4/15 + 14*h**3/3 - 20*h**2/3 = 0. -10, -5, 0, 1 Determine t so that -8*t**3/5 + 54*t**2/5 + 78*t/5 + 16/5 = 0. -1, -1/4, 8 Factor 2*i**3/7 - 4*i**2 + 10*i - 44/7. 2*(i - 11)*(i - 2)*(i - 1)/7 Solve -3*u**5/2 - 72*u**4 - 513*u**3 - 1356*u**2 - 2907*u/2 - 540 = 0. -40, -3, -1 Determine k so that 2*k**4/5 - 2*k**2 + 8/5 = 0. -2, -1, 1, 2 Factor -x**2 - 7*x + 8. -(x - 1)*(x + 8) Factor 5*g**4/2 + 880*g**3 + 116160*g**2 + 6814720*g + 149923840. 5*(g + 88)**4/2 Let 160*g**4 - 220*g**3 - 185*g**2 - 30*g = 0. Calculate g. -3/8, -1/4, 0, 2 Factor f**4/5 + 6*f**3/5 - f**2/5 - 6*f/5. f*(f - 1)*(f + 1)*(f + 6)/5 Find o, given that -5*o**2 + 40*o - 80 = 0. 4 Let -3*m**3 - 30*m**2 + 51*m + 198 = 0. What is m? -11, -2, 3 Find m such that 5*m**5/7 - 34*m**4/7 + 53*m**3/7 + 32*m**2/7 - 76*m/7 - 16/7 = 0. -1, -1/5, 2, 4 Factor -y**3/3 - 11*y**2 - 85*y + 289/3. -(y - 1)*(y + 17)**2/3 Factor -2*v**3/17 - 28*v**2/17 - 26*v/17. -2*v*(v + 1)*(v + 13)/17 Suppose 3*j**5 + 267*j**4 + 264*j**3 = 0. What is j? -88, -1, 0 Factor -5*o**4 + 45*o**3 - 115*o**2 + 75*o. -5*o*(o - 5)*(o - 3)*(o - 1) Solve -5*y**3 + 270*y**2 - 255*y - 530 = 0. -1, 2, 53 Factor -5*y**4 - 110*y**3 - 625*y**2 - 940*y - 420. -5*(y + 1)**2*(y + 6)*(y + 14) Let -x**4 - 127*x**3 - 3831*x**2 + 13195*x + 16900 = 0. What is x? -65, -1, 4 Solve -71*q**2 + 75*q - 4 = 0. 4/71, 1 Factor n**2/2 + 87*n + 7569/2. (n + 87)**2/2 Factor -2*v**3 - 32*v**2 - 30*v. -2*v*(v + 1)*(v + 15) Factor 4*z**4 - 324*z**3 - 332*z**2 + 324*z + 328. 4*(z - 82)*(z - 1)*(z + 1)**2 Factor 2*c**3 + 628*c**2 + 48664*c - 99856. 2*(c - 2)*(c + 158)**2 Solve -3*a**2 - 267*a + 828 = 0. -92, 3 Factor 25*s**5 + 80*s**4 - s**3 - 44*s**2 + 12*s. s*(s + 1)*(s + 3)*(5*s - 2)**2 Factor 2*c**5 - 14*c**4 + 32*c**3 - 16*c**2 - 32*c + 32. 2*(c - 2)**4*(c + 1) What is z in 4*z**3/5 - 96*z**2/5 + 336*z/5 - 64 = 0? 2, 20 Find u such that -3*u**5/2 + 333*u**4/4 + 867*u**3/4 + 45*u**2 - 87*u = 0. -2, -1, 0, 1/2, 58 Factor -5*l**2 - 90*l. -5*l*(l + 18) Suppose -3*h**2 + 135*h + 1092 = 0. What is h? -7, 52 Factor p**4/2 + 2*p**3 - 219*p**2/2 - 473*p + 3388. (p - 14)*(p - 4)*(p + 11)**2/2 Factor -o**3 + 5*o**2 - 7*o + 3. -(o - 3)*(o - 1)**2 Factor z**4/3 + 1111*z**3/3 - 1113*z**2 + 3341*z/3 - 1114/3. (z - 1)**3*(z + 1114)/3 Suppose -3*w**2 + 39*w - 120 = 0. Calculate w. 5, 8 Determine t, given that 5*t**3 - 2330*t**2 = 0. 0, 466 Let j**5/2 - 3*j**4/2 - 5*j**3/2 + 15*j**2/2 + 2*j - 6 = 0. Calculate j. -2, -1, 1, 2, 3 Solve -t**5/2 + 55*t**4/2 - 105*t**3/2 - 55*t**2/2 + 53*t = 0. -1, 0, 1, 2, 53 Let -q**5/6 + 4*q**4 - 82*q**3/3 + 163*q**2/3 + 55*q/2 - 175/3 = 0. What is q? -1, 1, 5, 14 Solve -4*x**4 + 18*x**3 - 14*x**2 - 12*x = 0. -1/2, 0, 2, 3 Find f such that 4*f**3/5 + 64*f**2/5 + 316*f/5 + 96 = 0. -8, -5, -3 Solve -l**5 + 6*l**4 = 0. 0, 6 Factor 2*s**3/13 - 1372*s**2/13 + 5464*s/13 - 5456/13. 2*(s - 682)*(s - 2)**2/13 What is n in -2*n**2 - 210*n - 208 = 0? -104, -1 Find i, given that 2*i**2/5 + 508*i/5 - 518 = 0. -259, 5 Let r**3 + 48*r**2 + 768*r + 4096 = 0. Calculate r. -16 What is z in 3*z**4/5 + 16*z**3/5 + 26*z**2/5 + 16*z/5 + 3/5 = 0? -3, -1, -1/3 Let -2*h**4 - 27*h**3 - 4*h**2 + 657*h - 324 = 0. Calculate h. -9, 1/2, 4 Factor 21*d**2/5 - 351*d/5 - 102/5. 3*(d - 17)*(7*d + 2)/5 Find m such that m**4 + 11*m**3/3 - m**2/3 - 19*m/3 + 2 = 0. -3, -2, 1/3, 1 Factor -n**2 - 96*n + 612. -(n - 6)*(n + 102) Suppose -11*h**5 - 179*h**4/4 + 237*h**3/2 - 223*h**2/4 - 10*h + 3 = 0. Calculate h. -6, -1/4, 2/11, 1 Factor g**4/3 + 287*g**3/3 + 7277*g**2 + 176113*g/3 + 154568/3. (g + 1)*(g + 8)*(g + 139)**2/3 Find b, given that -75*b**3 + 3085*b**2 - 410*b = 0. 0, 2/15, 41 Factor -3*l**3 - 21*l**2 - 42*l - 24. -3*(l + 1)*(l + 2)*(l + 4) Solve -v**2/6 + 8*v/3 - 8 = 0. 4, 12 Factor -5*h**2 + 5900*h - 1740500. -5*(h - 590)**2 Factor -2*u**2/7 - 544*u/7 - 36992/7. -2*(u + 136)**2/7 Let -3*g**3 - 12*g**2 + 3*g + 12 = 0. What is g? -4, -1, 1 Let -h**2 - 24*h = 0. What is h? -24, 0 Solve 2*m**4 + 96*m**3 + 90*m**2 - 188*m = 0 for m. -47, -2, 0, 1 Factor -35*k**2 - 7200*k - 5125. -5*(k + 205)*(7*k + 5) Let 3*g**3 + 93*g**2 + 612*g - 1620 = 0. What is g? -18, -15, 2 Factor 4*l**
{ "pile_set_name": "DM Mathematics" }
2 - 4*c**2. Find the second derivative of h(n) wrt n. 140*n**3 Differentiate -13 - y**2 + 112*y**3 + y**2 - 99*y**3 with respect to y. 39*y**2 Let d(i) = -i**3 + 7*i**2 - 4*i + 2. Let k be (36/15)/((-6)/(-15)). Let p be d(k). Differentiate p*b**2 - 3 - 14*b**2 + 3*b**4 with respect to b. 12*b**3 What is the derivative of 2 - g - 2*g - g + g wrt g? -3 Let q = 52 + -51. Let p(m) be the first derivative of 2*m - q + 0*m**3 + 2/5*m**5 + 0*m**4 + 0*m**2. Differentiate p(b) with respect to b. 8*b**3 Let r = -7 - -10. Differentiate -f + 0*f**r + f + 2*f**3 - 1 with respect to f. 6*f**2 Let z(i) be the second derivative of 33*i**5/20 + 13*i**4/12 + i**2 - 3*i - 8. Find the third derivative of z(x) wrt x. 198 Suppose -4*p = p - 30. What is the third derivative of -3*i**3 + p*i**3 - 5*i**2 + i**3 + 0*i**2 wrt i? 24 Let l(s) = 100*s**4 + 90*s**2 + 11. Let t(u) = 20*u**4 + 18*u**2 + 2. Let j(r) = -2*l(r) + 11*t(r). Find the third derivative of j(p) wrt p. 480*p Let v be 8/5 + 2/5. What is the first derivative of v*p - 2*p - p - 2 - p wrt p? -2 Differentiate 0*b**3 - 2 - 2*b**3 - 6*b**3 + 10*b**3 with respect to b. 6*b**2 What is the first derivative of 0*v**2 - 9*v**3 - 7 + 13*v**3 + 0*v**2 wrt v? 12*v**2 Let z(t) = -t - 1. Let b(n) = 2*n + 11. Let w(m) = m. Let s be w(-1). Let v(c) = s*b(c) - 6*z(c). What is the derivative of v(f) wrt f? 4 Suppose w = -t + 8, 0 = -3*w + t + 5 + 3. Suppose -5*p + 29 = 5*l - l, 0 = -w*p + 3*l + 17. Find the second derivative of 2*x + 0*x**5 - p*x + 2*x**5 wrt x. 40*x**3 Let c(q) be the first derivative of 53*q**6/6 + 52*q**3/3 + 10. Find the third derivative of c(d) wrt d. 3180*d**2 Let h = 4 - 2. Suppose 0 = h*n - n - 2. What is the first derivative of -1 - a**4 - n + 1 wrt a? -4*a**3 What is the second derivative of -19*t - 3*t**2 + 644 - 644 wrt t? -6 Find the third derivative of 6*p**4 + 2*p**4 - 6*p**4 + 3*p**4 + 4*p**2 wrt p. 120*p Let f(q) = -q**3 + 7*q**2 + q - 5. Let r be f(7). Differentiate 121*d**2 - 2*d**4 - 1 - 121*d**r with respect to d. -8*d**3 Let w(b) be the first derivative of b**5/5 - 4*b - 2. Differentiate w(h) with respect to h. 4*h**3 Let m(i) = -2*i - 5. Let n be m(-5). Suppose n*p = -0*p + 60. Find the first derivative of 11 - p + l + 0*l wrt l. 1 Suppose 4 = -2*b + 3*b. Let c be (b/(-12))/((-1)/6). What is the second derivative of -k - k + 4*k - k**c wrt k? -2 Let i(r) be the third derivative of -4/3*r**3 + 0*r**6 + 4/105*r**7 + 0*r**5 + 0*r**4 + 0*r + 0 - 2*r**2. Differentiate i(b) with respect to b. 32*b**3 Let s(h) be the third derivative of -5*h**8/112 - h**5/4 + 8*h**2. Find the third derivative of s(k) wrt k. -900*k**2 Let m(v) = 3*v**2 + 4*v. Let b(l) be the third derivative of -l**4/24 + l**2. Let k(w) = -6*b(w) - m(w). What is the second derivative of k(c) wrt c? -6 Let v = -13 - -13. Let y(j) be the first derivative of 1/4*j**4 + v*j**2 + 0*j**3 - 1 + j. What is the derivative of y(l) wrt l? 3*l**2 What is the second derivative of -42*t**2 + t**2 + 4*t - 7 - 6 + 3 wrt t? -82 Find the third derivative of -5*o**3 + 3*o**3 + 8*o**3 + 5*o**2 wrt o. 36 Let b(t) be the first derivative of -5*t**4/4 - t**2/2 - 2. Find the second derivative of b(h) wrt h. -30*h Let x(t) = -t + 1. Let v(z) = -z. Let p(d) = 5*v(d) - x(d). Differentiate p(l) with respect to l. -4 Let n(y) = -7*y**5 - 2*y**2 + 4*y + 2. Let h(r) = -35*r**5 - 11*r**2 + 19*r + 11. Let x(w) = -2*h(w) + 11*n(w). What is the second derivative of x(a) wrt a? -140*a**3 Find the third derivative of 21*z - 3*z**4 + z**2 - 2*z**5 + 2*z**4 - 23*z wrt z. -120*z**2 - 24*z Let k(n) = 0 - 3*n**2 + 5*n**2 + 5*n - 1 - n**2. Let x be k(-6). Find the second derivative of -5*z**5 + 5*z**5 - 2*z - 3*z**x wrt z. -60*z**3 Let f(l) be the second derivative of 1/2*l**3 + 0 + 1/40*l**5 + 0*l**2 - 2*l + 1/12*l**4. Let v(a) be the second derivative of f(a). Differentiate v(k) wrt k. 3 Suppose 19 = 2*d - d + 4*l, -l = 2*d - 10. What is the first derivative of 2 + 2 - 2 + d*m wrt m? 3 Differentiate -2 + 0*q - 3*q + 7*q with respect to q. 4 Let a(d) = 23*d**3 + 9*d**2 - 2*d. Let w(h) = -300*h**3 - 117*h**2 + 27*h. Let q(l) = -27*a(l) - 2*w(l). Find the third derivative of q(f) wrt f. -126 Let p be 3/5*(12 + -7). What is the derivative of -1 + 6 + s**p + 0 - 11*s**3 wrt s? -30*s**2 Let a = 5 - 1. Let u be (4 - 3)*-3 + 9. Find the second derivative of v**a + 4*v**4 - v - u*v**4 wrt v. -12*v**2 What is the third derivative of -5*f**4 + 5*f**4 + f**2 - 3*f**2 + 7*f**5 wrt f? 420*f**2 Suppose -3*l = -4*f + 14, -f + 3*l + 4 = -2*f. Let i be 2 + f/(-6)*-3. Differentiate 2*m**4 + i - 5*m**3 + 5*m**3 wrt m. 8*m**3 Let w(y) be the third derivative of 3*y**8/112 - y**5/10 + 3*y**2. Find the third derivative of w(d) wrt d. 540*d**2 Find the second derivative of 52*m**2 - m - 3*m**5 - 109*m**2 - 9*m**4 + 57*m**2 - 5 wrt m. -60*m**3 - 108*m**2 Suppose -4*h + 9 = -g + 2, h - 1 = g. Find the third derivative of -4*c**6 - c**2 - c**h + 4*c**2 + 5*c**6 wrt c. 120*c**3 Let a = -5 - -2. Let f = a + 5. Find the second derivative of -f + 2 - k**4 - k - k wrt k. -12*k**2 Let b = 1 - -1. Find the first derivative of -4*r - 2*r + 3*r + b + 1 wrt r. -3 Let p(x) = 2*x**4 + 2*x**3 + 3*x**2 + 2. Let l(g) = 3*g**4 + 5*g**3 + 5*g**2 + 5. Let h(t) = 2*l(t) - 5*p(t). Find the third derivative of h(d) wrt d. -96*d Let d(f) = -f**3 + 4*f**2 + 2*f - 5. Let k be d(4). Find the second derivative of -3*p**3 + 4*p**3 - k*p + 0*p**3 + 2*p**3 wrt p. 18*p Let q(n) = 3*n**5 + 5*n**3 + 11*n + 5. Let d(a) = 2*a**5 + 2*a**3 + 5*a + 2. Let v(s) = 5*d(s) - 2*q(s). Find the second derivative of v(o) wrt o. 80*o**3 Let c(a) = 16*a**3 - 11*a**2 + 11*a - 38. Let q(j) = -8*j**3 + 6*j**2 - 6*j + 19. Let h(w) = -6*c(w) - 11*q(w). What is the first derivative of h(b) wrt b? -24*b**2 What is the derivative of 5 + f - 2*f**4 - f + 0*f wrt f? -8*f**3 Let n = -2 + 3. What is the second derivative of c**5 - n + 1 + c - 4*c**5 wrt c? -60*c**3 Let b(j) be the second derivative of 2*j**7/7 + 13*j**4/6 + 13*j. What is the third derivative of b(t) wrt t? 720*t**2 What is the third derivative of -5*h**2 - 10*h**5 - 14*h**3 + 14*h**3 + 3*h**5 wrt h? -420*h**2 Let d(b) = -24*b**3 - 4*b**2 + 8*b - 8. Let r(q) = q**3 - q + 1. Let u(j) = d(j) + 8*r(j). Find the third derivative of u(l) wrt l. -96 Let q be 85/(-20) - (-2)/8. Let a = 6 + q. Find the third derivative of u**2 + 0*u**6 - 2*u**a + u**6 wrt u. 120*u**3 Let g = 11 + -15. Let m be -2*(14/g - -2). Find the second derivative of -z + 0*z**3 - m*z + 2*z + 3*z**3 wrt z. 18*z Let c(v) be the first derivative of -v**7/840 + v**5/30 + v**3 + 1. Let x(n) be the third derivative of c(n). What is the second derivative of x(h) wrt h? -6*h Let j(d) be the first derivative of d**6/72 - d**5/40 + 4*d**3/3 - 4. Let p(v) be the third derivative of j(v). What is the second derivative of p(k) wrt k? 10 What is the first derivative of -13 - 1027*s - s**2 + 1027*s wrt s? -2*s Let w(x) be the first derivative of x**6/30 - x**4/4 + x - 1. Let g(d) be the first derivative of w(d). Find the third derivative of g(c) wrt c. 24*c Let u(t) be the first derivative of -2 - 5 + 2*t**3 + 7 + 3 - 6*t. What is the derivative of u(l) wrt l? 12*l Let r(v) = 2*v**2 + 8. Let l(d) = -1. Let b(j) = -l(j) - r(j). What is the first derivative of b(t) wrt t? -4*t Differentiate -15*i**2 + 2*i**2 - i**2 - 2 wrt i. -28*i Let n = 42 - 37. Let g be 4/3 + (-8)/(-12). Find the first derivative of 2*o + g*o + 4 - n*o wrt o. -1 Let t be 1*-2*(-5)/5. Find the third derivative of -3*w**5 + w**t + 2*w**2 - w**2 wrt w. -180*w**2 Let n(o) be the second derivative of -o**6/30 + 2*o**4/3 + o. What is the third derivative of n(v) wrt v? -24*v Let v(y) be the third derivative of y**6/120 - y**5/30 + y**2. Find the third derivative of v(q) wrt q. 6 Let z(i) be the third derivative of -5*i**8/336 + i**4/12 - 2*i**2. Find the second derivative of z(l) wrt l. -100*l**3 Find the second derivative of 4*d**3 - 5*d - 8*d**3 + 4*d**3 + 22*d**5 wrt d. 440*d**3 Let j(c) = c**5 + c**4 - c - 1. Let y(m) = 60*m**5 + 6*m**4 + 12*m - 8. Let o(u) = 6*j(u) - y(u). What is the second derivative of o(n) wrt n? -1080*n**3 Let h(y) be the second derivative of 0 + 0*y**5 + 0*y**2 + 0*y**6 + 0*y**3 + 3*y + 1/12*y**4 + 1/21*y**7. What is the third derivative
{ "pile_set_name": "DM Mathematics" }
1/6*o**4 + 0 + 0*o**3 + n*o. What is the third derivative of k(m) wrt m? 30 Let x(o) = 1667*o**4 + 10*o**2 + 26*o + 33. Let h(g) = 833*g**4 + 4*g**2 + 14*g + 16. Let q(y) = -5*h(y) + 2*x(y). What is the second derivative of q(c) wrt c? -9972*c**2 Suppose 1 = m - 2. Let g = m + -1. What is the third derivative of 23*i - 3*i**2 - g*i**6 - 23*i + i**6 wrt i? -120*i**3 Let y(u) be the third derivative of u**8/20160 + 5*u**6/144 + u**5/12 - 13*u**2. Let r(b) be the third derivative of y(b). What is the derivative of r(q) wrt q? 2*q Let j = -59 + 59. Let u(n) be the first derivative of j*n**2 + 0*n**4 + 5 + 0*n**3 - 6*n - 2/5*n**5. Differentiate u(h) with respect to h. -8*h**3 Let o = -8 + 12. Suppose -k = o*k. Differentiate -6 + c + 0 + 4 + k*c wrt c. 1 Let b(v) = -4*v**4 - 10*v**3 - 4. Let m(s) = 4*s**4 + 10*s**3 + 3. Let p(c) = -5*b(c) - 6*m(c). What is the derivative of p(g) wrt g? -16*g**3 - 30*g**2 Find the third derivative of -37*o**3 - 61*o**2 - 35*o**3 - 16 + 72*o**3 + 15 + 429*o**6 wrt o. 51480*o**3 Find the first derivative of -24*u + 42*u + u**2 + 33*u - 149 + 0*u + 33*u wrt u. 2*u + 84 What is the derivative of 2*s**2 - 5*s**2 - 458 - 134 + 49*s**4 + 1643*s**3 - 1643*s**3 wrt s? 196*s**3 - 6*s Suppose 4*i + 124 = -4*w, 115 + 56 = -5*w + 3*i. Let u = 35 + w. What is the second derivative of 3*q**2 - 5*q**2 + 2*q**u - 4*q**3 - 6*q wrt q? -24*q Let l(h) = -3*h**2 + 5. Let j(v) = -5*v**2 + 45*v + 82. Let d(r) = -j(r) + 2*l(r). Differentiate d(o) with respect to o. -2*o - 45 Find the second derivative of 73*z**3 - 10*z + 134*z**3 - 27*z**3 + 1769 - 1766 wrt z. 1080*z Suppose -5*u - 5*b = -15, 0*b + 15 = 3*u + b. Let h = u + 6. What is the third derivative of -c**2 + 13*c**2 - h*c**2 + 9*c**2 - 8*c**4 wrt c? -192*c Let x(d) = -1. Let u(f) = 17*f - 13. Let n(l) = 6*l + 23. Let y be n(-4). Let v(i) = y*u(i) + 2*x(i). What is the derivative of v(p) wrt p? -17 What is the third derivative of -92*r**2 - 2*r - 65766*r**3 + 65892*r**3 + 4*r wrt r? 756 Suppose -3*m + u = -7, m + 4*m + 5*u - 5 = 0. Find the third derivative of -3*h**6 - 2*h**4 - 3*h**2 + m*h**4 wrt h. -360*h**3 Let y(b) be the third derivative of -155*b**7/42 + 23*b**5/12 + b**3/2 - 2*b**2 - 257. Find the third derivative of y(f) wrt f. -18600*f Suppose -4*q + 8*q = 8. Find the second derivative of -55 + 12*d + 55 + 37*d**q wrt d. 74 Let z(x) = 216*x**2 + 5*x - 494. Let v(f) = -288*f**2 - 7*f + 660. Let c(n) = 8*v(n) + 11*z(n). Find the second derivative of c(y) wrt y. 144 Differentiate -414 + 47*y + 86 - 10*y - 2*y**2 - 181 + 33*y wrt y. -4*y + 70 What is the derivative of -617*a**2 - 318 + 106 + 686*a**2 wrt a? 138*a Let b(x) = x**4 - x**3 + x - 1. Let t(c) = 28*c**4 + 14*c**3 - 14*c. Let n(y) = 14*b(y) + t(y). What is the derivative of n(u) wrt u? 168*u**3 Let b = 96/5 - 19. Let g(y) be the first derivative of -1 - b*y**5 + 0*y**3 + 0*y**4 + 0*y**2 - 4*y. Differentiate g(n) with respect to n. -4*n**3 Suppose -2*j = p + 3*p, p = -3*j. Let z(r) be the third derivative of 0*r**4 + 0*r - 6*r**2 + 1/30*r**5 + j - r**3. Differentiate z(x) wrt x. 4*x Let k(v) = -171*v**3 + 126*v**2 - 54*v + 27. Let t(z) = z**2 + 2*z - 1. Let h(p) = -k(p) - 27*t(p). Find the third derivative of h(c) wrt c. 1026 Let p(u) = -3*u**5 - 104*u**4 - 193*u**2 - 3*u + 3. Let k(h) = h**4 - h**2 - h + 1. Let v(o) = 3*k(o) - p(o). Find the third derivative of v(l) wrt l. 180*l**2 + 2568*l Suppose -2719 = -2*q - r, 0 = 3*q - 4*r - 2091 - 2015. What is the second derivative of 21*t**5 + 1373*t - 8*t**5 - q*t wrt t? 260*t**3 Let j = -6 + 10. Let m(q) = -q**3 + 6*q**2 - 8*q + 3. Let d be m(4). What is the third derivative of 0*c**3 + 6*c**j - 14*c**4 - 2*c**2 + 0*c**d wrt c? -192*c Let z(c) = -313*c**3 - 14*c**2 - 12*c - 6. Let s(b) = -b**3 - b**2 + 3*b + 1. Let g(w) = 4*s(w) + z(w). What is the third derivative of g(o) wrt o? -1902 Let v(u) be the third derivative of -u**5/3 - 5*u**4/24 - 61*u**3/3 - 78*u**2. What is the first derivative of v(x) wrt x? -40*x - 5 Let s(l) = 15*l**2 - 3*l + 1. Let o(d) be the first derivative of -5*d**3 + 2*d**2 - d + 15. Let q(t) = -3*o(t) - 4*s(t). What is the derivative of q(g) wrt g? -30*g Let w(r) = r**2 + 4. Let u be w(0). Let o(c) = c + 1 + 9*c**2 - 11*c**2 - 1. Let l(x) = x. Let y(p) = u*l(p) - o(p). Find the second derivative of y(s) wrt s. 4 Suppose -21*x + 20*x = -2. Suppose -5*a + 3*m + 32 + 5 = 0, 4*m = -x*a - 6. Find the third derivative of -6*q**a - 33 - 3*q**2 + 33 wrt q. -360*q**2 Let t(c) be the first derivative of 61*c**5/5 - 479*c + 139. Differentiate t(x) with respect to x. 244*x**3 Let n(d) be the third derivative of d**5/60 - d**4/8 - d**3/6 - 3*d**2. Let w be n(-1). What is the first derivative of 26 + 2*f**4 - 24 + w*f**4 wrt f? 20*f**3 Let c(m) = m**3 - m**2 - m + 1. Let t(z) = -9*z**4 - 5*z**3 - z**2 - 4*z + 21. Let a(y) = c(y) - t(y). What is the second derivative of a(o) wrt o? 108*o**2 + 36*o Suppose -2*x - 3*x = -115. Let y = 25 - x. What is the derivative of 8*n - 6*n - 2*n + n**y + 1 wrt n? 2*n Let z(u) = 4*u**2 - 9*u. Let d(v) be the second derivative of v**4/3 - 3*v**3/2 + 7*v. Let k(a) = 3*d(a) - 2*z(a). What is the second derivative of k(l) wrt l? 8 Let t(k) be the third derivative of -k**6/72 + k**4/24 + 5*k**3/6 - 7*k**2. Let q(l) be the first derivative of t(l). What is the derivative of q(u) wrt u? -10*u Suppose -10 = 2*p, 3*z + 6*p - 4*p = 2. Suppose 4*j + q - 17 = 0, 12 + 3 = z*j - q. Find the second derivative of o**5 - o - o**4 + o**j + 2*o wrt o. 20*o**3 Suppose -2*b + 5 = -j, -b = b - 8. Find the third derivative of -j*g**5 - g**2 - 2*g**2 - 6*g**2 wrt g. -180*g**2 Find the third derivative of 8*l**4 - 125*l**2 - 102*l**2 + 271*l**3 - 270*l**3 wrt l. 192*l + 6 Let y(t) be the first derivative of 1/4*t**4 + 4 + 0*t**3 + 0*t**2 - 22*t. Differentiate y(i) wrt i. 3*i**2 Differentiate -105 + 114142*a**4 - 34 - 114126*a**4 wrt a. 64*a**3 What is the second derivative of 65*y**2 - 17*y + 19*y + 31*y**2 wrt y? 192 Let i(j) be the third derivative of 173*j**6/60 - 7*j**5/30 + j**3/3 + 59*j**2. What is the third derivative of i(l) wrt l? 2076 Let c(p) be the third derivative of 37*p**7/210 + 23*p**3/6 + 269*p**2. What is the first derivative of c(v) wrt v? 148*v**3 Let a(q) be the third derivative of 0*q**3 + 0*q + 0*q**6 + 0*q**7 + 0 - 13/24*q**4 - 24*q**2 + 0*q**5 - 9/112*q**8. Find the second derivative of a(w) wrt w. -540*w**3 Let i(m) be the second derivative of 53*m**8/56 - 59*m**4/6 + 301*m + 2. Find the third derivative of i(z) wrt z. 6360*z**3 Let z(x) be the third derivative of x**9/1512 - x**6/72 + 2*x**3 - 2*x**2. Let r(u) be the first derivative of z(u). Find the third derivative of r(y) wrt y. 120*y**2 Let r(y) be the first derivative of y**7/70 - y**6/90 + y**3/3 + 3. Let t(z) be the third derivative of r(z). What is the third derivative of t(q) wrt q? 72 Let s be ((-1)/(-2))/(6/12). Let b(f) = -f**2 - f. Let q(v) = 12*v**4 + 5*v**2 - 3*v. Let d(o) = s*q(o) + 5*b(o). Find the second derivative of d(h) wrt h. 144*h**2 Let d be 13 - -6 - 0/1. Let x = d + -16. Find the second derivative of 4*m**2 - 2*m**2 + 6*m + 5*m**2 - x*m**2 wrt m. 8 Let y(v) be the third derivative of -v**7/105 - 33*v**6/10 - 703*v**5/60 + 28*v**2. Find the third derivative of y(k) wrt k. -48*k - 2376 What is the second derivative of -4*z**3 - 15*z + 5*z**2 - z**4 - 4*z**3 - 256*z + 8*z**3 wrt z? -12*z**2 + 10 Let h(y) = 40*y**5 + 4*y**3 - 19*y**2 + 2*y. Let g(l) = l**5 - l**3 - l**2 - l. Let b(r) = -4*g(r) - h(r). What is the third derivative of b(v) wrt v? -2640*v**2 Let c = 2143/3 - 712. Let s(f) be the first derivative of 6 + c*f**3 + 0*f + 2*f**2. Find the second derivative of s(i) wrt i. 14 Find the second derivative of -97*g + 86*g + 73*g**2 + 218*g wrt g. 146 Let a(o) be the first derivative of -15*o**6 - 187*o**2 + 423. Find the second derivative of a(h) wrt h. -1800*h**3 Find the third derivative of 100*q**3 + 118*q**2 - 51*q**3 - q**3 wrt q. 288 Let r(o) be the third derivative of 13/60*o**5 + 2/15*o**6 + 12*o**2 + 0*o + 0*o**3 + 0 + 0*o**4. Find the third derivative of r(x) wrt x. 96 Let a(d) = -697*d**2 - 292*d - 35. Let z(j) = 349*j**2 + 145*j + 19. Let o(p) = -6*a(p) - 11*z(p). What is the second derivative of o(n) wrt n? 686 Let z be 15 - 2 - (-3 -
{ "pile_set_name": "DM Mathematics" }
v. Give prob of sequence qzv. 1/35 Four letters picked without replacement from {x: 3, i: 1, h: 2, j: 1}. Give prob of sequence jxih. 1/140 Four letters picked without replacement from {y: 4, d: 3}. What is prob of sequence dydd? 1/35 Calculate prob of sequence tq when two letters picked without replacement from {q: 3, t: 7}. 7/30 Three letters picked without replacement from rwxsrwgv. What is prob of sequence wwg? 1/168 Calculate prob of sequence yys when three letters picked without replacement from ysysysysysss. 7/66 Four letters picked without replacement from {d: 1, p: 2, j: 4, a: 2, l: 1}. What is prob of sequence djaa? 1/630 Two letters picked without replacement from wwtwtwwnwnynyyw. Give prob of sequence yt. 1/35 Two letters picked without replacement from {o: 9, q: 11}. Give prob of sequence qq. 11/38 Calculate prob of sequence js when two letters picked without replacement from {j: 2, h: 13, s: 5}. 1/38 Three letters picked without replacement from {w: 5, q: 2, k: 5, i: 5, l: 2, m: 1}. What is prob of sequence wii? 5/342 Two letters picked without replacement from veatllqv. What is prob of sequence eq? 1/56 Calculate prob of sequence dgym when four letters picked without replacement from yymoyydzymyzogy. 1/2340 Three letters picked without replacement from fgdfh. Give prob of sequence dfd. 0 What is prob of sequence uaa when three letters picked without replacement from {w: 2, u: 5, a: 5, f: 1, x: 3, v: 4}? 5/342 What is prob of sequence ppg when three letters picked without replacement from xxggppxgxxpxxp? 3/182 Four letters picked without replacement from hhgtphgcgghgwgc. What is prob of sequence cghw? 2/1365 Calculate prob of sequence aa when two letters picked without replacement from hhahahh. 1/21 Calculate prob of sequence kkxv when four letters picked without replacement from kkkkkkvkkkxxxxkkxk. 11/1224 What is prob of sequence he when two letters picked without replacement from {l: 3, h: 6, e: 3, m: 3}? 3/35 Two letters picked without replacement from ejeveejqej. What is prob of sequence jq? 1/30 Three letters picked without replacement from {k: 1, j: 5, z: 2, y: 6, p: 1, u: 1}. What is prob of sequence yky? 1/112 What is prob of sequence puu when three letters picked without replacement from ppppuippiupupppbib? 5/408 What is prob of sequence ve when two letters picked without replacement from {r: 1, v: 2, e: 2}? 1/5 Calculate prob of sequence lll when three letters picked without replacement from {r: 8, l: 3}. 1/165 Three letters picked without replacement from {t: 6, n: 6}. Give prob of sequence nnt. 3/22 Calculate prob of sequence xrrx when four letters picked without replacement from {l: 2, r: 2, x: 4}. 1/70 Three letters picked without replacement from nffxntfnxfnt. What is prob of sequence xfx? 1/165 Four letters picked without replacement from {t: 1, g: 1, m: 7, v: 2, x: 5}. What is prob of sequence mvtt? 0 Two letters picked without replacement from {a: 1, s: 2, p: 4, y: 4}. Give prob of sequence ss. 1/55 Two letters picked without replacement from {d: 2, v: 1, p: 1}. What is prob of sequence dd? 1/6 Three letters picked without replacement from zmzzmz. What is prob of sequence zmz? 1/5 What is prob of sequence gq when two letters picked without replacement from {g: 1, p: 1, t: 8, b: 2, q: 6}? 1/51 Calculate prob of sequence qqn when three letters picked without replacement from qqqnssquqss. 2/99 Calculate prob of sequence mo when two letters picked without replacement from oaeofaaacecma. 1/78 Two letters picked without replacement from eryprbh. Give prob of sequence br. 1/21 What is prob of sequence xq when two letters picked without replacement from lxlllxqxllqlllqxll? 2/51 Three letters picked without replacement from {i: 15, r: 4}. Give prob of sequence rrr. 4/969 What is prob of sequence dd when two letters picked without replacement from {d: 5, r: 5}? 2/9 Calculate prob of sequence dvk when three letters picked without replacement from {k: 9, l: 1, v: 2, d: 2}. 3/182 Four letters picked without replacement from {s: 3, a: 13}. What is prob of sequence aaaa? 11/28 Two letters picked without replacement from vvvjjwdvjtvv. Give prob of sequence vw. 1/22 Two letters picked without replacement from wbwqwmwwbmwmwwq. What is prob of sequence qq? 1/105 Three letters picked without replacement from rddmdndmmd. What is prob of sequence mrn? 1/240 Two letters picked without replacement from gpdppddpapdpapppn. Give prob of sequence gp. 9/272 Four letters picked without replacement from fffdffffdffddddfffd. Give prob of sequence dffd. 77/1292 What is prob of sequence isr when three letters picked without replacement from {s: 2, k: 1, v: 3, i: 3, r: 1}? 1/120 Three letters picked without replacement from {j: 1, h: 1, d: 5, k: 4, z: 1}. Give prob of sequence ddk. 2/33 Four letters picked without replacement from qaqqqvxxvvqvaxsavxeq. What is prob of sequence aves? 1/7752 What is prob of sequence nwx when three letters picked without replacement from {b: 1, x: 1, s: 1, w: 6, y: 3, n: 6}? 1/136 Two letters picked without replacement from {j: 2, a: 1, b: 3, x: 1}. What is prob of sequence ax? 1/42 Two letters picked without replacement from {s: 1, o: 1, c: 3, i: 2}. Give prob of sequence oc. 1/14 Three letters picked without replacement from xehffffll. Give prob of sequence hhh. 0 Three letters picked without replacement from kdmawwamkddafw. What is prob of sequence wmw? 1/182 Calculate prob of sequence ng when two letters picked without replacement from {x: 2, g: 1, z: 2, n: 7, o: 6}. 7/306 Calculate prob of sequence kkkj when four letters picked without replacement from kjjajjkkkaaakakkk. 2/85 Two letters picked without replacement from iiaauxm. What is prob of sequence xu? 1/42 Two letters picked without replacement from {l: 1, x: 12, k: 3}. What is prob of sequence kl? 1/80 Four letters picked without replacement from {l: 4, r: 6, f: 2, m: 2, o: 1, s: 3}. Give prob of sequence rrlm. 1/306 Three letters picked without replacement from {t: 1, g: 9, o: 6, s: 2, v: 1}. What is prob of sequence ost? 2/969 Four letters picked without replacement from {s: 4}. Give prob of sequence ssss. 1 Two letters picked without replacement from {n: 2, p: 1, f: 1, o: 4, u: 2}. What is prob of sequence op? 2/45 What is prob of sequence ge when two letters picked without replacement from geegaeeeg? 5/24 Three letters picked without replacement from jeyxyxxyxx. Give prob of sequence xex. 1/36 Calculate prob of sequence wdw when three letters picked without replacement from tctcddccwcdtcdwdddw. 7/969 Four letters picked without replacement from fnnqfqfffnn. What is prob of sequence nfqq? 1/198 Four letters picked without replacement from ebbebbbbobnqnbnbeeb. Give prob of sequence eoqe. 1/7752 What is prob of sequence dy when two letters picked without replacement from xffdrdddyfxdffd? 1/35 What is prob of sequence tbn when three letters picked without replacement from rvrrtrrrrhhbrrrrhrn? 1/5814 Three letters picked without replacement from {y: 2, x: 1, r: 1, h: 2, w: 1, a: 2}. What is prob of sequence rxh? 1/252 Three letters picked without replacement from {f: 15, i: 4}. Give prob of sequence iii. 4/969 What is prob of sequence eb when two letters picked without replacement from {b: 1, e: 10, a: 4, c: 4}? 5/171 What is prob of sequence pzo when three letters picked without replacement from {o: 1, p: 1, z: 16}? 1/306 Three letters picked without replacement from {i: 2, u: 2, b: 2}. What is prob of sequence ibb? 1/30 Two letters picked without replacement from zzenheencz. Give prob of sequence ez. 1/10 Three letters picked without replacement from cwcecccccvcacciciw. What is prob of sequence wwc? 11/2448 Calculate prob of sequence gnd when three letters picked without replacement from gdudndududndbn. 3/364 Four letters picked without replacement from {l: 5, f: 1, y: 1, z: 1, o: 4}. Give prob of sequence olzo. 1/198 Two letters picked without replacement from lnzfznbvnvbl. Give prob of sequence nl. 1/22 Three letters picked without replacement from zpkkzpkk. Give prob of sequence kzz. 1/42 Three letters picked without replacement from ttiiztikwwkzpzw. Give prob of sequence zwt. 9/910 What is prob of sequence qhh when three letters picked without
{ "pile_set_name": "DM Mathematics" }
51*n**2. Let p(c) = c**3 + 3*c**2 + 2*c. Let j be p(2). Suppose 2*k - 18 = j. Give k*h(i) + 2*g(i). -3*i**2 Let y(v) = -21*v + 11. Let w(o) = -8*o + 11. Let z(l) = -4*l + 6. Let m(x) = -4*w(x) + 7*z(x). Let i be 10/(-8) - (-8)/32 - 1. Determine i*y(j) - 11*m(j). -2*j Let l(x) = 2*x - 1. Let v(t) = 171*t - 99. Determine 396*l(q) - 4*v(q). 108*q Let x(m) = -2*m**2 + 4*m + 2. Let c be 0 + -1 + 0 - -1. Let i = c - 4. Let b(y) = y + 1. Suppose 572*r - 603*r + 31 = 0. Give i*b(v) + r*x(v). -2*v**2 - 2 Let o(n) = n**3 + 5*n**2 - 5*n - 28. Let a be o(-5). Let i(y) be the first derivative of -2*y**3/3 + 3*y - 2. Let d(s) = -2*s**2 + 3. What is a*i(b) + 2*d(b)? 2*b**2 - 3 Let v(f) = 4*f + 4 - 4*f**2 + 3*f**2 - 2*f**2. Let c(y) = 5*y**2 - 7*y - 7. Let q be ((-18)/2)/(-3) - -6. Suppose -7*w + 14 = -q*w. What is w*v(p) - 4*c(p)? p**2 Let k(y) = -6*y**2 - 91*y - 5. Let d(l) = -7*l**2 - 90*l - 6. Give 5*d(i) - 6*k(i). i**2 + 96*i Let o(k) = 385*k**3 + 6*k**2 - 30*k. Let j(f) = 321090*f**3 + 5005*f**2 - 25025*f. Give -6*j(p) + 5005*o(p). 385*p**3 Let j(w) = -w**2. Let p(k) = -2*k**3 + 41*k**2. Determine 3*j(b) - p(b). 2*b**3 - 44*b**2 Let k(s) = 4*s**3 - 5*s**2 - 8*s + 5. Let d(v) = -3*v**3 + 4*v**2 + 8*v - 4. Determine -5*d(r) - 4*k(r). -r**3 - 8*r Let f(j) = 2*j - 6. Let v(q) = 1. Let y(t) = -2*f(t) - 10*v(t). Let k(u) = 9*u - 4. Give 3*k(b) + 7*y(b). -b + 2 Let u be -1 + (-1)/(4/8). Let n(x) = 3*x. Let a(l) = -l + 1. Let r(t) = 3*t - 2. Let z(j) = -2*a(j) - r(j). Calculate u*n(s) - 8*z(s). -s Let i(d) = -4*d + 3. Suppose 2*c = -5 - 11. Let r be (-9)/2*c/(-6). Let k(l) = 3*l + 4. Let x(g) = g + 1. Let h(p) = 2*k(p) - 7*x(p). Calculate r*h(a) + 2*i(a). -2*a Let p(g) = 761*g**3 + 5*g**2 - 3. Let l(t) = 381*t**3 + 2*t**2 - 1. Give -5*l(h) + 2*p(h). -383*h**3 - 1 Let l(a) be the third derivative of -a**5/15 + a**4/24 + 2*a**2. Let d(t) be the first derivative of -t**3/3 - t + 395. Give 2*d(s) - l(s). 2*s**2 - s - 2 Let h(i) = -479*i**3. Let t(z) = 169089*z**3. Calculate -1413*h(p) - 4*t(p). 471*p**3 Let i(o) = -6*o**2 + 7*o + 10. Let z be 5 + -2*6/12. Suppose -z*s + 5*c = -48, 0*c = -3*c - 12. Let g(a) = 4*a**2 - 5*a - 7. Calculate s*g(u) + 5*i(u). -2*u**2 + 1 Let x(w) = -w**2 - 1. Let m(p) = 6 + 19*p**2 + 0 + p - 12*p**2. Let y = 15 + -21. Give y*x(h) - m(h). -h**2 - h Let i(b) = -5*b**3 + 15*b**2 + 15*b. Let o(q) = -3*q**2 - 23*q - 5. Let m(n) = n**2 + 9*n + 2. Let f(s) = -5*m(s) - 2*o(s). Calculate 15*f(z) - i(z). 5*z**3 Let c(z) = 2*z. Let v(x) = x**2 + 14*x + 49. Let f be v(-9). Let s(i) = f*i - 6*i - i. Determine -5*c(u) - 3*s(u). -u Let d(a) = -3*a**3 - 5*a - 1020. Let g(j) = -j**3 - j - 2. What is -d(k) + 5*g(k)? -2*k**3 + 1010 Let t(u) = -u**3 - u - 1. Let s(i) = 39*i**3 + 52*i + 52. Let v = 2443 - 2391. Determine v*t(r) + s(r). -13*r**3 Let n(h) = -h + 71. Let w(x) = -x. Give n(z) - 4*w(z). 3*z + 71 Let x(v) = -48*v**3 - 27*v**2 + 27*v + 27. Let f(j) = -j**3 - 5*j**3 - 84 + 4*j + 88 - 4*j**2 - j**3. Determine -27*f(i) + 4*x(i). -3*i**3 Let x(p) = p**2 + 0*p - 1 + 3 + p**2 + 6*p. Let c(w) be the second derivative of 4*w + w**2 + 5/6*w**3 + 0 + 1/6*w**4. Calculate 5*c(v) - 4*x(v). 2*v**2 + v + 2 Let q(n) = 177*n**3 - 6*n**2 - 6*n + 6. Let k(f) = -2*f**3 - f**2 - f + 1. Calculate -6*k(m) + q(m). 189*m**3 Let q(r) = -2*r**2 - 5*r. Let v(d) = d**3 + 9*d**2 - 6*d - 4. Let k be v(-9). Suppose 0 = 6*p - k - 10. Let u(j) = j**2 + j. Determine p*u(h) + 2*q(h). 6*h**2 Let q(h) = -48*h - 48. Let g(b) be the third derivative of -7*b**4/24 - 7*b**3/6 - 108*b**2. Calculate -27*g(t) + 4*q(t). -3*t - 3 Let b(g) be the first derivative of g**4 + g**2/2 + 1448. Let f(y) = -5*y**3 - 2*y. Let x be (-4)/(-1)*(-2)/2. Give x*b(a) - 3*f(a). -a**3 + 2*a Let j = -30 - -39. Let y = 15 - j. Let s(u) = 7*u**2. Let p(n) = 8*n**2. Give y*p(v) - 7*s(v). -v**2 Let v be -2 + (-3)/(3/(-13)). Let n(h) = 2 + 3 - 3 - 800*h + 799*h. Let f(c) = -6*c + 11. Give v*n(t) - 2*f(t). t Let h(r) = r - 1. Let w(b) = b**2 + 5*b - 9. Let u be w(-8). Suppose g + 18 = u. Let i(p) = 14 - 13 + 3*p - 5*p + p. Give g*i(c) - 4*h(c). -c + 1 Let m(j) = -4*j + 26. Let f(w) = -9*w + 37. Let o(a) = -2*a + 8. Let t(l) = -f(l) + 4*o(l). Suppose -5*q - 73 - 7 = 0. Determine q*t(g) - 3*m(g). -4*g + 2 Let p(q) = 28 - 6*q - q**3 + 22 + 22 - 67. Let k(z) = -5*z + 4. What is -5*k(i) + 4*p(i)? -4*i**3 + i Suppose 5*u = 3*f - 21 - 10, -6 = 2*f + 2*u. Let m(s) = s**f - 17 - s**3 + 8 + 8. Let y(a) = -2*a**3 + 2*a**2 + 3*a - 1. What is -m(h) + y(h)? -h**3 + h**2 + 3*h Let i(h) = -4*h**2 + 2*h + 4*h**3 + h**3 + 2*h. Suppose -3*r - l = 9, -6*l = -3*r - 7 - 2. Let a(b) = 4*b**3 - 3*b**2 + 3*b. Determine r*i(s) + 4*a(s). s**3 Let d be 1 + -22 - -7 - -13. Let y(u) = -1. Let l(m) = 1. Let b(o) = -7*l(o) - 6*y(o). Let c(a) = 3*a - 3. What is d*c(j) + 5*b(j)? -3*j - 2 Let k(n) = -5*n - 3. Let u(q) be the second derivative of -11*q**3/6 - 5*q**2/2 + 102*q + 1. Give 5*k(r) - 3*u(r). 8*r Suppose -20 = -3*k + 8*k. Let j(x) = -x**2 - 4*x + 3. Let f(o) = -2*o**2 - 9*o + 7. What is k*f(n) + 9*j(n)? -n**2 - 1 Suppose -5*a = -a + 16, -3*v = -5*a - 26. Let z(d) = -7*d - 1 + 7*d - 2 + v*d. Let y(k) = -2*k + 2. Give 5*y(o) + 4*z(o). -2*o - 2 Let s(t) = 5*t**3 - 2*t**2 - 3*t - 15. Let p(c) = 4*c**3 - 2*c**2 - 4*c - 11. Determine 3*p(w) - 2*s(w). 2*w**3 - 2*w**2 - 6*w - 3 Let n(t) = t + 4. Let p(a) = -7*a - 12*a + 21*a + 4. Let b(d) = -6*n(d) + 5*p(d). Let y(s) = 8*s - 9. What is 5*b(m) - 2*y(m)? 4*m - 2 Let v(w) = 7*w**2 + w + 7. Let k(s) = s**3 + 45*s**2 - 39*s + 316. Let u be k(-46). Let a(t) = 13*t**2 + 2*t + 13. What is u*a(j) + 11*v(j)? -j**2 - j - 1 Let s(t) = 8*t. Let r(h) = 7*h. Let k(q) = 7*r(q) - 6*s(q). Let v(m) = 13338*m - 13339*m + 2 - 3. Determine -5*k(i) - 2*v(i). -3*i + 2 Let u(k) = -43*k**3 + 5*k**2 + 2*k + 5. Let o(p) = -42*p**3 + 6*p**2 + 3*p + 6. Determine -5*o(z) + 6*u(z). -48*z**3 - 3*z Let p(d) = -4*d**3 + d**2 + 24*d + 8. Let m(k) = -5*k**3 + k**2 + 25*k + 10. What is 3*m(i) - 4*p(i)? i**3 - i**2 - 21*i - 2 Let h = -349 - -305. Let d(k) = 28*k**2 + 22*k. Let o(t) = 4*t**2 + 3*t. Calculate h*o(z) + 6*d(z). -8*z**2 Let m(g) = g**2. Let x(r) = -8*r**2 - r - 47. Determine -4*m(t) - x(t). 4*t**2 + t + 47 Let o(l) = 75*l**2 - 9*l + 14. Let m(d) = -25*d**2 + 3*d - 5. Calculate 8*m(x) + 3*o(x). 25*x**2 - 3*x + 2 Let w(q) = 4*q**3 - 2*q**2 + 5. Let s(r) = -4*r**3 + r**2 - 4. Determine -4*s(y) - 3*w(y). 4*y**3 + 2*y**2 + 1 Let n(f) = f. Let k(x) = -x + 5. Determine -2*k(i) - 6*n(i). -4*i - 10 Suppose 13 = -3*w + 1. Let i(p) = 11*p**2 - 13*p - 1. Let t(n) = 6*n**2 - 7*n - 1. What is w*i(z) + 7*t(z)? -2*z**2 + 3*z - 3 Let h(d) = 20*d**3 + 5*d**2 + 4. Let y(u) = 18*u**3 + 5*u**2 + 3. Give 5*h(v) - 6*y(v). -8*v**3 - 5*v**2 + 2 Let d(c) = -7*c**3 - 3. Let a(l) = 50*l**3 + 22. Let o(x) = -x**3 + 15*x**2 + 21*x - 74. Let z be o(16). Give z*a(j) + 44*d(j). -8*j**3 Let c(p) be the first derivative of 3*p**2/2 - 3*p + 3. Suppose -42*b - 123 - 171 = 0. Let o(a) = a**2 + 7*a - 7. What is b*c(u) + 3*o(u)? 3*u**2 Let y be 8/(-10)*(-3 - -8). Let v(w) = w**3 - 4*w**2 + 2*w + 4. Let i(h) be the first derivative of -h**3/3 + h + 200. Determine y*i(s) + v(s). s**3 + 2*s Let r(k) = k - 5 + k**3 + 0*k**3 + 0*k**3. Let d(w) = w**3 - 1. Suppose 34*g = 41*g - 21. Suppose 0 = 4*f - 8, 3*f = -3*u + f + 1. Give g*d(s) + u*r(s). 2*s**3 - s + 2 Let r(i) = 580502*i - 1079. Let g(n) = -1077*n + 2. Calculate 1079*g(l) + 2*r(l). -1079*l Let u(g) = -19*g**3 + 9*g**2 - 15*g - 9. Let k(y) = -9*y**3 + 4*y**2 - 7*y - 4. What is -9*k(p) + 4*u(p)? 5*p**3 + 3*p Let t(p) = -p - 1. Let g(x) = 9*x + 7. Suppose -2*d + 6 = 4*q, 5*q + 2*d + 3*d = 10. Give q*g(r) + 6*t(r). 3*r + 1 Let j(b) = 610*b**2 - 2440. Let u(f) = -1. Give j(i) - 2440*u(i). 610*i**2 Let u(l) = -27*l**3 - 5*l**2 - 5. Let x(q) = 132*q**3 + 24*q**2 + 24. Give -24*u(j) - 5*x(j). -12*j**3 Let i be (17/34)/((-2)/(-4)). Let r(b) = -b + 1. Let c(o) be the third derivative of -o**4/12 - o**3/6 - 7*o**2. Calculate i*r(u) + c(u). -3*u Let x(z) = -3*z + 16. Let s(i) = -4*i + 17. Calculate 2*s(r) - 3*x(r). r - 14 Let o(m) = -m**3 - 3*m**2 + 4. Let d(s) = -s**3 + s**2 - 1. Determine -5*d(c) - o(c). 6*c**3 - 2*c**2 + 1 Let b(k) = -k**2 - 1. Let r(s) = 9*s**2 - 2*s + 5. Let i(q) = -18*q + 60. Let y be i(3). Determine y*
{ "pile_set_name": "DM Mathematics" }
p = -25/4 + 167/28. Let l = 4.2 - 4. Which is the closest to l? (a) 0.2 (b) 0.1 (c) p a Let i be 609/(-18) - (-1)/3. Let o = 33 + i. Which is the closest to -0.1? (a) 3 (b) 0.2 (c) o b Let q = -12/13 + 59/78. What is the closest to -2 in -0.3, q, 0? -0.3 Let i(r) = -6*r**2 + 2*r + 2. Let a be i(2). Let d = -13 - a. What is the nearest to d in -3/4, 3, -3/7? 3 Let b = 177 - 178. What is the closest to b in 1/5, 1/2, -1? -1 Let h = 29 - 40. Let v = 7 + h. Which is the nearest to 1? (a) v (b) 4/5 (c) 5 b Let t = 1.22 - 0.02. Let d = -1 + t. Let m = d + -0.4. Which is the closest to m? (a) 0.4 (b) -3/5 (c) -3 b Let g = 4.5 - 5. Which is the closest to -2/3? (a) g (b) -4 (c) 1 a Let x = -5/194 - -2547/970. Let z = -81/35 + x. What is the nearest to z in -2, 1, 1/5? 1/5 Let i = -1 + 1. Let m = 82289/139 - 592. Let x = -698/417 + m. What is the closest to -1 in 5, i, x? x Let f(q) = 2*q - 10. Let n be f(7). Let c be (-10)/n*(-8)/70. What is the closest to 1 in -0.5, -1, c? c Suppose -14 = 3*i + 1. Let m(q) = -q**3 - 4*q**2 + 6*q + 4. Let u be m(i). Let o = -4.94 - 0.06. Which is the closest to u? (a) -3/8 (b) o (c) 1/2 a Let z = -2.6 - -3. Let n = 12.3 + -12. Which is the nearest to 2/5? (a) z (b) n (c) -1 a Let j be (-1)/(18/8)*3/(-2). Which is the closest to j? (a) -11/5 (b) -1 (c) -2/7 c Let f = -1.4 + 1.2. Let p = f - -0.2. Suppose 0 = -3*g - 2*r + 6*r + 14, -2*r = 10. What is the nearest to p in g, 5, 0? 0 Let y = -1.9 + 2.3. What is the closest to 0 in -1/5, y, -0.1? -0.1 Let l = -0.66 + 0.6. Let p = 5.06 + l. What is the nearest to 1/3 in p, -1/2, 2? -1/2 Let y = -0.1 + 5.1. Let z = -5.1 - -3.1. What is the closest to 0.1 in 0.3, y, z? 0.3 Let j = 74 - 79.1. Let t = j + 0.1. What is the closest to 1 in 2/13, 0.1, t? 2/13 Let z be -2 + (-2 - (1 - 0)). Let o be (-2 - z) + 68/(-20). Let k = 3 - 2. Which is the closest to o? (a) -1 (b) k (c) 3/2 a Let p = 6.96 + 0.64. Let c = p - 8. What is the closest to 2/3 in -1/2, -5, c? c Suppose a + 10 + 4 = -3*t, 0 = -5*t + 3*a - 28. Let d = -5 + 3. What is the closest to -1 in 2, d, t? d Let h = -171.4 + 171. What is the nearest to 0.1 in h, 22, 3? h Suppose 5*x = x + 4*z - 36, 3*x + 31 = -z. Let m be 2/x - (-126)/30. Which is the closest to -2/7? (a) m (b) 0 (c) 1 b Let j = 70 - 70. Let w(a) = -a - 1. Let s be w(-2). Let u = 0.29 - -0.01. What is the nearest to 1/4 in u, s, j? u Let x = -247/40 - -29/5. Which is the closest to 0.3? (a) 0.1 (b) -5 (c) x a Let v(i) = i**2 + 5*i - 3. Let r be v(-5). Let h = r + 5. Suppose 0 = -3*s - h*s - 25. Which is the closest to -1? (a) 5 (b) s (c) -0.1 c Let i be ((-2)/(-14))/(7/(-14)). Let y = 0.1 + 2.9. Let p = 5/4 + -33/20. Which is the nearest to i? (a) p (b) y (c) 1 a Let y = 18 - 18. Which is the nearest to 0? (a) 9 (b) y (c) -2/9 b Let z = -47 + 45.9. Which is the nearest to 2/7? (a) -5 (b) z (c) 5 b Suppose 2*s + 4 = 4*i, 3*s + 2*i = 2 - 0. Let j be (-3)/6*s/2. Let p = -6/13 - -25/26. Which is the nearest to p? (a) 5 (b) -1 (c) j c Suppose 3*x + 1 = 4*x. Let g be (3 + 4)/((-3)/6). Let p be (-13)/70 + (-4)/g. What is the closest to 2/7 in -2, p, x? p Let f = 22 + -24. Which is the closest to 1/2? (a) 0 (b) -3 (c) f a Let f = 3 - 6. Let l = 14 + -10.5. Let w = -3 + l. What is the nearest to -1 in f, w, -0.2? -0.2 Let s = -254/5 + 51. What is the closest to 0.1 in -1/5, s, -0.4? s Let u be 4/(-18) + (-2)/(-90). Let x be 6/(-24)*4/(-46). Let l = -233/138 + x. What is the nearest to -1 in u, -4, l? l Suppose -4*o - 126 = 3*g, 2*g = 4*o + 101 + 15. What is the closest to 1/4 in o, -0.3, 2/7? 2/7 Let c = 3 + -2.8. Let q = c + -0.6. Let r = 23.8 + -24. What is the nearest to -1 in -1, r, q? -1 Let a = 0.58 - 0.08. Let r = -1.5 + a. Let w = 3.96 - -0.04. What is the nearest to r in -4, 2/19, w? 2/19 Let x = 4.8 + -0.8. Let o = -1/22 + -9/44. What is the nearest to o in -3/2, -1/10, x? -1/10 Suppose 0 = -r - r - 4. Let k be 7/14 + 5/r. Which is the nearest to -1/3? (a) 0.6 (b) -4 (c) k a Let q = 1.6 + -6.6. What is the nearest to 8 in -2, q, 0? 0 Let f = -6 + 8. Let m be (-1)/(f*(-3)/48). Let j be (-1 + -1)/(3 + m). What is the nearest to 1/2 in -4, -1/4, j? j Let m = -6/47 - 76/141. What is the nearest to -1/6 in m, -0.2, -0.01? -0.2 Let v = 132 - 131.8. What is the closest to 1 in -0.5, 1/3, v? 1/3 Let y be (-63)/(-351) - (-4)/26. Suppose -5 = -4*a + 3. What is the nearest to 1 in a, -1, y? y Let g = 5 - 6. Let c = 1.2 + g. What is the closest to -1/3 in -3, c, 1? c Let r(n) = n**3 + 2*n**2 - n + 4. Let i be r(-3). Which is the nearest to 3/2? (a) 2/5 (b) i (c) 3 a Let y = 0.05 - 0.05. Let d = -22 + 156/7. Let z = 4.3 - 4. What is the nearest to d in z, 0.2, y? z Let i = 0.04 - 0.14. Suppose -3*y + 5*v - 20 = -0*v, 2*y + 4*v - 16 = 0. Let a be -1 + y + (-7)/(-3). What is the closest to i in a, 3, 1? 1 Let o = -142249/7 - -20152. Let s = o + 169. Let d = 0 - 0. Which is the closest to s? (a) 3 (b) -0.3 (c) d b Let v = -11.7 - -9.7. Which is the closest to 0.2? (a) v (b) 5 (c) 0.5 c Let j = 9 + -13. Let k = -0.3 - -0.4. Suppose 0*z = 4*z. Which is the closest to k? (a) -3 (b) j (c) z c Let d = 0.04 + 0.26. Let z = -0.68 + 0.6. Let y = 5.08 + z. What is the nearest to -0.2 in 2/9, d, y? 2/9 Let p be 2/(-80)*-6 + 6/10. What is the nearest to 0.8 in -2/9, p, -2? p Suppose 3*v - 1054 = 2*v. Let r = v - 2063/2. Let h = 23 - r. What is the nearest to 0.1 in h, -2/5, -1/3? h Let p = -8 - -6. What is the nearest to p in 5/2, -2, 0.2? -2 Suppose -2*q - 2 = -q. Which is the closest to 1? (a) 5 (b) q (c) -1 c Let k = -1.9 + -20.1. Let f = k - -12. Let h = 5 + f. Which is the closest to 1/3? (a) h (b) -6/5 (c) 2/7 c Let i = -0.3 + 0.2. Let u = 1 + -0.8. Let h = i + u. Which is the closest to -0.1? (a) h (b) -4/5 (c) 0 c Let v = 4.5 - -0.5. Let n = -0.03 - -0.13. What is the nearest to -2/5 in v, n, -4? n Let q = 3.6 - 3.7. Which is the nearest to 0? (a) -0.5 (b) 2/9 (c) q c Let j = -20/3 - -103/15. Let y = 21.6 - 22. What is the closest to 0 in y, -3/7, j? j Let u = -0.6 + 1. Let r = -13 + 14. What is the nearest to r in -1/4, -0.1, u? u Let b be 4/18 - (-2)/18. Let f = -1.1 - -2.1. What is the nearest to 0 in -0.4, b, f? b Let l = 1.1 + -0.6. Let u = 7 - 10. Which is the closest to -0.01? (a) u (b) l (c) 5 b Let y = 0.2 - 5.2. Let s = 6898/11 + -4398/7. Let u = -10/11 - s. Which is the nearest to u? (a) y (b) -2 (c) 5 b Let z = 0.3 - 1.3. Let q be (-20)/(-110) - 26/22. Which is the nearest to q? (a) z (b) 0.5 (c) 0.1 a Let r = -4.17 + 0.17. What is the nearest to -0.1 in 0.5, r, -3? 0.5 Let b = 1 - 3. Let n = 0.3 + 0.1. What is the closest to 0.2 in n, b, 0.1? 0.1 Let w = 44 - 42. Which is the closest to 0.1? (a) -1/10 (b) -1 (c) w a Let j = -49/2 - -23. Let l be ((-7)/(-70))/((24/(-15))/4). Which is the nearest to l? (a) -1 (b) 0.1 (c) j b Let z(h) = -4*h**2 + 1. Let l be z(-1). Let w = -39 - -43. Let k = 0 - -0.1. What is the nearest to k in -2, l, w? -2 Let x be (-2 + (1 - -2))/(-1). Let l be (3 + 0)/(8/x). Let s = 1 - 1.3. Which is the closest to -1? (a) s (b) l (c) 3 b Suppose 4*y = -2*t + 10, -t - 3*t + 20 = -4*y. Suppose l = t*l - 84. Let u be (l/30)/7*-2. Which is the closest to 4/5? (a) -5 (b) u (c) 0.5 c Let n be (10/(-35))/((-18)/(-14)). Let f = -2 + 2. What is the closest to 2 in -5, f, n? f Let y be (3 - (15/6 + 0))/(-1). Let h = -0.6 - -0.6. Which is the closest to 1? (a) y (b) h (c) 5 b Let u = -26/45 - 4/45. Let p = 26 - 26.17. Let h = p - 2.83. What is the closest to -0.2 in u, 2/3, h? u Let k be 28/(5/(20/8)). Suppose 4*p = 2*l + k, p + 5*l + 9 = -2*p. Which is the nearest to p? (a) -1 (b) 0.3 (c) -1/3 b Let k = 0.6 - 0.3. Let g = 0.6 - k. Which is the closest to -1/2? (a) 4/5 (b) 2 (c) g c Let j be -2 + (-10)/5 - -2. What is the nearest to j in -0.1, -1/4, 0? -1/4 Let m be 1 - (3 + (-26)/8 + 1). What is the nearest to m in 3, 0.3, -0.3? 0.3 Let t be (56/(-7) + 13)*(-2)/(-12). What is the nearest to -1 in -0.2, 2/15, t? -0.2 Suppose 0 = 5*q - 0*q + 5. Let u be 0/(q/((-2)/2)). Let a = -0.5 + 0.7. What is the closest to u in a, -2/5, 4/3? a Let k be (27/12)/(2/8). Which is the closest to 0? (a) k (b) -0.2 (c) -0.4 b Let l = 2714/171 + -143/9. Let u = -6
{ "pile_set_name": "DM Mathematics" }
-1) + -7 + (-8 - -10)? 5 Evaluate 88/(-484)*22/(-4). 1 Calculate 3/(36/8)*(-9)/(-42). 1/7 Calculate 221/728 + (-2)/(-16). 3/7 What is -6 + 6 + ((-18)/(-15))/3? 2/5 1 - 4/2 - (-80 - -82) -3 Calculate 19 - 16 - (-26)/(-8). -1/4 (14/6 + -2)*(-2 + -1) -1 Calculate (3 - (-7 - -9))*-3. -3 Evaluate 3/(-6)*(-6)/(-3). -1 10*(9/2)/9 5 Evaluate 28/(-315) - 12/90. -2/9 Evaluate (51/(-85))/(12/30). -3/2 -4 + 75/65 - 2/13 -3 What is the value of 5 - (-45)/(-24)*2? 5/4 What is the value of -6 + 1 + (-225)/(-36)? 5/4 Calculate -2 - 9/(-3) - (-2 - -3). 0 What is 6/(-27)*45/30? -1/3 (-1)/((-2)/(-60)*-3*-2) -5 Calculate 27/(-54) - (-9)/42. -2/7 What is the value of 6/4 + 5 + 0 + -7? -1/2 Evaluate (-10)/70*(-1)/(-1). -1/7 Calculate -3 + 10 + 4/(-1). 3 What is the value of (-49 - -48)/(14/12)? -6/7 (9 - 3)*(-7 + (-253)/(-33)) 4 Evaluate 3 - ((-2)/14 + 206/70). 1/5 Evaluate 1/(-3)*4*5/20. -1/3 Evaluate (-32)/(-54)*23/(736/(-24)). -4/9 What is the value of 9 + -9 + 2/(-9)? -2/9 What is the value of (4 - (-14)/(-4)) + 0? 1/2 (-20)/(-48)*(-1 - -9)*3 10 (-7 - 1) + -5 + 13 0 What is the value of ((-2 - -4) + -10)/1? -8 Calculate (22/(-70) + 6/(-21))*-5. 3 66/(-14) - (-3)/(126/(-12)) -5 (238/49 - 4)/(2/7) 3 Evaluate (4/32)/((-2)/(-4)). 1/4 What is the value of -8 + (-7)/((-56)/24)? -5 What is -5 + ((-48)/48 - (-1 + 5))? -10 Evaluate ((-3)/18)/(19/(-114)). 1 What is (-63)/90 - 10/(-10)? 3/10 Evaluate (-707)/(-202) - (-42)/(-4). -7 What is the value of 9/3 - (-2 + 7)? -2 Evaluate ((-62)/(-372))/(((-10)/(-3))/(-2)). -1/10 What is (1/(-4))/((-12)/(-16))? -1/3 Evaluate (-38)/40 + 5/25. -3/4 What is ((-40)/8 - -5)/(-1)? 0 9/((-5445)/(-352)) - 2/5 2/11 What is the value of ((-161)/21 - -11)/(1 - 3)? -5/3 What is (-4)/(-9)*36/4? 4 Evaluate 9/(-6)*290/87. -5 What is (-2 + -5 + 2)*(-12)/(-90)? -2/3 (-120)/322 + (-14)/(-49) -2/23 What is ((-2)/3)/(152/(-1140))? 5 ((-12)/8)/(-1*(-28)/(-8)) 3/7 What is -3*(-2)/18 - (-16)/6? 3 What is the value of (3 - (-1 + -1 + 5))/1? 0 (28/(-588))/((1/6)/(-1)) 2/7 Evaluate (-234)/(-819) + (-5)/(-7). 1 Evaluate 27/7 + 14/(-7) + -2. -1/7 Evaluate -12 + 9/(27/21). -5 Evaluate (-2*2)/((-11)/(-11)). -4 Evaluate (((-264)/(-55))/(-24))/((-4)/30). 3/2 Evaluate 10 - ((-174)/(-18) - 0). 1/3 What is the value of 45/(-7) - -6 - (-15)/(-63)? -2/3 What is the value of (314/785)/(1/(-15))? -6 Evaluate ((-4)/(-10))/(14/175). 5 Evaluate 26/22 + 8/(-44). 1 (-86)/(-18) + -10 + (7 - 2) -2/9 Evaluate 27 - 18 - (0 + 5). 4 What is the value of 8/(-10)*(-6)/(108/15)? 2/3 What is (4 - (-76)/(-18))/((-2)/3)? 1/3 What is the value of (-16)/(-20) + (1 - 2)? -1/5 Evaluate 15/17 + 64/544. 1 ((-5)/(-2))/((-55)/(-44)) - 4 -2 Evaluate -9 + 25/15*3. -4 (-6 + 88/12)*4/16 1/3 (2/20)/(-39 - -38) -1/10 (-18)/7*(-5 + (-203)/(-42)) 3/7 What is the value of 7/(63/(-4)) - 2/(-9)? -2/9 What is the value of 2/(-6) - ((-1045)/(-15))/(-11)? 6 What is the value of (-392)/(-35) - (-1 + 12)? 1/5 Calculate ((-4)/2)/(-5 + 7). -1 What is 24/(-20)*100/(-40)? 3 Evaluate (-1)/(((-21)/12)/(-7)). -4 What is 54/(-12)*(-40)/(-45)? -4 What is the value of 13 - 279*1/21? -2/7 What is the value of -4 + 0 - (20 - 27)? 3 What is 8/5*(-5)/2? -4 Evaluate (-7 - (-2 - -2)) + -32 + 31. -8 What is (-2)/15*(-2)/((-20)/15)? -1/5 (-51)/(-15) + -2 - 8/20 1 What is (6/28)/(9/(-6) - -1)? -3/7 What is (38/(-114))/(1/9)? -3 Calculate 7 - 8 - (-18)/(-32)*-2. 1/8 Evaluate 30/9*(-60)/50. -4 Calculate -5 + ((-21)/6)/((-5)/10). 2 What is the value of 224/56 - 2*(-1 + 2)? 2 What is (-9)/189*(-3 + (7 - 2))? -2/21 What is (1 + 18/(-12))*4? -2 What is 96/(-624) - (-18)/(-52)? -1/2 Evaluate (-2 + 4)/((-24)/9). -3/4 15*((-1)/(-1) + (-16)/12) -5 Evaluate (-12)/9*(17 - 14). -4 (3/(-4))/(14/(-56)) 3 What is 6/4 + (-84)/56? 0 Calculate (-3)/(-9) - 5 - (-15 - -11). -2/3 Calculate (5 - -1) + 78/(-6) + 8. 1 Evaluate 1/(-1)*-25*4/(-60). -5/3 What is the value of ((-22)/(-176))/(((-21)/4)/(-7))? 1/6 1*-9*(-8)/684 2/19 What is the value of ((-4)/(-16))/(-3 - -4)? 1/4 Evaluate -5 + 5/((-25)/(-10)). -3 3/(-9) + 171/27 6 What is 3051/(-565) + (-4)/(-10)? -5 What is (168/147)/(1/(-7))? -8 ((-12)/(-36))/(2/(-18)) -3 -4*(-143)/468 - (-2)/(-9) 1 (-32*(-10)/(-20))/(-2) 8 (-15 - -21)*1/(-20) -3/10 Evaluate (15/(-825))/((-3)/30). 2/11 Calculate ((-2)/(-8))/((-11)/(-8)). 2/11 Calculate (12/10 + (-2)/10)*5. 5 What is ((-7)/14)/(1/6)? -3 What is the value of (11/(-3) - -2)/((-10)/6)? 1 884/1530 + (-2)/(-9) 4/5 What is the value of (-12)/40 + (-160)/(-200)? 1/2 What is the value of (2 + 36/(-16))*2? -1/2 What is the value of 45/(-24) + 1*(-1)/8? -2 215/(-129)*(-1 + -2) 5 Calculate (-18)/72 + (-11)/4 - 0. -3 Calculate (-2)/4*2*-1. 1 Evaluate (5*11/(-440))/((-1)/(-4)). -1/2 What is the value of ((-36)/(-15))/(6 + 56/(-10))? 6 What is (-7 - 2) + (-12 - -20)? -1 (0 + 2)/((-14)/56) -8 Evaluate 12/78 - (-37)/13. 3 Evaluate 66/(-627) + (-29)/(-95). 1/5 Evaluate ((-8)/(-14))/((27/(-21))/3). -4/3 What is 32/(-12) + 3 + 154/(-21)? -7 Calculate (672/18)/(-8) + 5. 1/3 What is ((-12)/(-20))/(18/(-4))? -2/15 Calculate (-289)/(-136) - 3/24. 2 Calculate 8/(-36) + (-112)/(-18) + -1. 5 Calculate 6/4*140/(-945). -2/9 Calculate 4 + (-212)/56 + (-2)/(-7). 1/2 1 + 3 - (-9 - -17 - 6) 2 What is (-2)/(-19) - (-730)/(-1520)? -3/8 What is ((-8)/(-30)*-3)/((-2)/(-15))? -6 What is the value of -3*130/234 - (-3 + 0)? 4/3 Calculate (-9)/(-30)*5 - (-62)/(-36). -2/9 What is (-1)/7*(-560)/(-1440)? -1/18 What is ((-4)/(-8))/(((-3)/(-2))/(-1))? -1/3 142/14 + -5 - 5 1/7 6/4*(-24)/(-54) 2/3 (-9 + 1)*215/172 -10 What is 1/1*(4 + 8 - 11)? 1 Evaluate (-33)/(-30) + (-9)/15 - 1. -1/2 Calculate (-2)/(-7) + ((-396)/(-84) - 0). 5 Evaluate (-500)/6375*3/2. -2/17 What is the value of (-18)/(-35) - -18*(-10)/225? -2/7 1/(-11) + (-52)/(-88) 1/2 7/((-21)/24) - 36/(-9) -4 Calculate (45/(-30))/((-6)/4). 1 What is 18/(-6)*(-6)/27? 2/3 Calculate ((-8)/150 - 0)/((-2)/(-5)). -2/15 (12/(-180) - 0)/(2/(-12)) 2/5 Evaluate 3/((-39)/91) + (0 - -1). -6 What is the value of (-23)/(-46) + (-2)/(-4)? 1 Calculate 5 - 6/4 - (3 - 2). 5/2 Calculate -2 - (-93)/24 - 2. -1/8 Calculate 19/2 + -6 - 6/(-4). 5 What is -12 - 20/(-48)*26? -7/6 What is the value of ((-100)/(-40))/((6/4)/(-3))? -5 Evaluate (-4 + 33/6)*(-2)/3. -1 4/(-12)*(-12)/(-14) -2/7 (0 + 3/(-3))/((-50)/250) 5 (-87)/9 + (8/3)/(-8) -10 What is (4/12)/((-1)/(-9))? 3 What is the value of ((-606)/404)/((-2)/(-4)*1)? -3 (42/(-45) - (-21)/(-15)) + 3 2/3 What is (-3*1/(-18))/(8/(-32))? -2/3 (71/(-1846))/((-1)/(-2)) -1/13 -15 - (-180)/9 - (10 - -1) -6 ((-2)/(-20)*-1)/(1/4) -2/5 Calculate 315 - 309 - (-1 + (-94)/(-14)). 2/7 What is 0 + -6 + (-5 - -9)? -2 Evaluate -9*(-6)/108*(1 - 11). -5 What is 30/(-6) - -4 - 6? -7 What is (54/(-12))/9 + 22/12? 4/3 Calculate 1/(-7) - (-336)/(-49). -7 6*1 + (-12 - -60)/(-4) -6 Evaluate (-2)/(-7) + -2 + 96/(-42). -4 What is (-4)/(-3)*39/(-26)? -2 (-1)/(-6)*(-12)/(-18) 1/9 What is (-12)/(-42) + (-72)/154? -2/11 ((-2)/6 + 1)/((-56)/252) -3 Calculate 300/84 + (-12)/(-56)*2. 4 Evaluate (-1104)/462 + 2/(-11) - -3. 3/7 Evaluate 2/(-7) + 3 + 360/(-112). -1/2 What is the value of 624/(-240) + (-51)/15 + 3? -3 Calculate 18/(-75)*(-20)/(-8)*1. -3/5 Calculate 0/(-5*(-2)/5). 0 What is the value of 46/(-69) - (-40)/42? 2/7 Evaluate (-36)/(-105)*126/(-27). -8/5 What is the value of 201/134 - (-6)/(-8)? 3/4 Calculate ((-80)/(-600))/(0 - 2/9). -3/5 What is 3/(1 + -2) + 6270/2166? -2/19 (-75)/350*(-4)/(-3) -2/7 Calculate ((-14)/(-6) + -2)*72/16. 3/2 (-156)/260*(0 - (-4)/3) -4/5 Evaluate 429/(-168) + 2 + 6/14. -1/8 (8/24)/(3/27*1) 3 (-4)/(-14) - 16/7 -2 Calculate (279/27 - 10)*-6. -2 What is the value of (-273)/(-49) + 4/(-7)? 5 (-4)/6 + (-783)/(-81) 9 (18/(-8))/((-42)/(-168)) -9 Calculate 15/(-9) - (-145)/58. 5/6 Calculate ((-2)/(-4))/(1/((-12)/2)). -3 What is the value of (76/12 + -6)*(-1 - 20)? -7 What is the value of ((-1)/(-3))/((-53)/795)? -5 What is (66/75)/11 - 692/(-100)? 7 What is the value of (-1)/5 - (-441)/105? 4 (-4 - -5)/((-10)/(-6)) 3/5 What is 3/(-5)*(-40)/6? 4 Evaluate 2/(-2)*(-5 + -5)/10. 1 Calculate 36/24*(28/(-12) + -1). -5 Calculate (-8)/148 + 3580/(-2220). -5/3 What is (-32)/104*(-4)/(-8)? -2/13 What is (-3)/(-7) + ((-1728)/112 - -15)? 0 Evaluate 1*0/(-3 - (-10 - -2)). 0 Calculate (2/4)/(1/(-8)*1). -4 What is the value of 124/(-31)*(-1
{ "pile_set_name": "DM Mathematics" }
and a? 60 Suppose 3*t - 308 = 2*t. Suppose -28*v - t = -35*v. Calculate the lowest common multiple of v and 32. 352 Suppose 5*z + 18 + 7 = 2*h, 5*h - z = 97. Let p(g) = 11*g + 19. Let y be p(-8). Let v = y + 73. Calculate the lowest common multiple of h and v. 20 Calculate the least common multiple of (-57 - 3)/(-2)*6/(432/60) and 520. 2600 Let k = 2978 - 148917/50. What is the common denominator of (-1390)/(-225) - 48/8 and k? 450 Let c = 4789/12 - 398. Find the common denominator of 39/140 and c. 420 Let k be -4 + -1 - 1161230/(-200). Let s = -5799 + k. Find the common denominator of s and -59/48. 240 Let w = -14883 + 1696751/114. What is the common denominator of w and 19/42? 798 Let q = -1/989 + 10886/6923. Let o = -19/21 + q. What is the common denominator of o and -26/19? 57 Let n(f) = -f**3 + 2*f**2 + 3*f - 3. Let u be n(2). Calculate the smallest common multiple of 18/(-2)*(-5 - -4) and -1*(u*-32 + 3)*1. 279 Let b = -3490709/32226 - -13300/123. Calculate the common denominator of -79/12 and b. 1572 Let d = -202 - -212. Calculate the least common multiple of (0 - (-56)/d)/(64/160) and 77. 154 Suppose 5*i + y = 69, 5*i - 65*y = -68*y + 67. Calculate the lowest common multiple of 1268 and i. 8876 Calculate the common denominator of 771/11856 - (-68)/(-442) and 41/52. 3952 Suppose -15 = -18*s + 17*s - k, 0 = -4*s - 2*k + 54. Calculate the smallest common multiple of s and 120. 120 Suppose -5*b - 31*b + 72 = 0. Suppose -5*v + 50 = -15. What is the lowest common multiple of v and b? 26 Let i = -2/10933 - 120245/98397. Find the common denominator of i and 32/3. 9 Suppose -n - 3*t = 5, -t + 4*t = 3*n + 3. Let a be (5/n)/((-20)/(-8) - 3). What is the least common multiple of 27 and 1 + (5 - a) - (-2)/1? 27 Let d = -7423 + 378554/51. Calculate the common denominator of d and 19/66. 1122 What is the lowest common multiple of 2073 and (-328)/(-10) - (5/225 + 14/(-63))? 22803 Let c be 15/20 + (-37734)/(-6800). Let x = 3/3400 + c. Let b = -199/4 + 1079/20. Find the common denominator of b and x. 10 Suppose 2564 = 4*p + 4*w, 6 = -148*w + 149*w. What is the least common multiple of 4445 and p? 4445 Let i = -2 + 0. Calculate the common denominator of (160/192)/((-24)/(-336)) and i/((-36)/(-41)) + 0. 18 Calculate the smallest common multiple of (-8)/14 + (-25730)/(-35) + (-54)/(-126) and 441. 2205 Suppose -17*y + 9709 = -1001. Calculate the least common multiple of 90 and y. 630 Let v(f) = -f**3 + 10*f**2 + 12. Let g(h) = -2*h**3 + 3*h**2 + 3*h - 4. Let r be g(4). Let b = r + 88. Calculate the least common multiple of v(10) and b. 48 Let p be 2463/(-6)*351/(-65) - -6. Let w = 2228 - p. What is the common denominator of -23/20 and w? 20 Let t(p) = -1405*p - 5472. What is the smallest common multiple of 148 and t(-4)? 148 Suppose -2*d - 1315 = -5*o + 4437, 2*d = -o + 1148. What is the lowest common multiple of o and 1035? 10350 Suppose -2*s - 3*s = -5*f + 145, -f + 37 = -5*s. Suppose -f = -3*u + 93. What is the lowest common multiple of 5 and u? 40 Let p = 15321 + -15319. Calculate the smallest common multiple of p and -5*(24/(-10) + -2). 22 Let b be (0 - 312/(-30)) + (-2)/5. Suppose -b*n + 7*n = 3*w - 27, 0 = -4*w - n + 36. What is the least common multiple of w and 5? 45 Let z = -7012 + 1009621/144. Find the common denominator of z and 7/9. 144 What is the smallest common multiple of 350 and 1746/10 + ((-576)/(-90))/16? 350 Let n = -15415 - -17519. What is the lowest common multiple of 526 and n? 2104 Let f = 535 + -750. Let w = -206 - f. What is the smallest common multiple of w and 3? 9 Let y(k) = 4*k**3 + 14*k**2 + 43*k - 145. Calculate the lowest common multiple of 15 and y(7). 11070 What is the common denominator of 47/160 and (-1377)/(-6160) + 38/133*3/(-6)? 1760 Let t(r) = -r**2 + 8*r + 20. Let o = 8 - 2. Let n be t(o). Let y = -30 + n. Calculate the lowest common multiple of 14 and y. 14 Let q(c) = -2*c**3 - 47*c**2 - 25*c - 37. What is the smallest common multiple of q(-23) and (9/3)/((-1)/(-9))? 27 Suppose 0 = 5*m + 5, m = -5*t + 19 - 5. Let w(x) = -2*x**2 - 76*x + 4181. Calculate the smallest common multiple of t and w(30). 303 Let u be 6/(-3) - 1943734/(-1085071). Let n = u + 50/437. Calculate the common denominator of n and 83/4. 764 Suppose -5*c - 1588 + 596 = -4*h, 0 = -3*h - 6. What is the common denominator of ((-44)/c)/((-18)/390) and 22/21? 210 Let b(j) = -j**3 + 7*j**2 - 4*j - 8. Let q be b(6). Let u(p) = 19*p**2 - p - 2. Calculate the lowest common multiple of (-120)/(-10 + q) + 2/(-1) and u(-1). 18 Let w = -19283531/480 - -40174. What is the common denominator of -149/132 and w? 5280 Suppose 18 = -6*v + 15*v. Let p(c) = -c - v*c + 19 + 0*c + 4*c. What is the lowest common multiple of p(-11) and 2? 8 Let p be (-111)/(-8) + (0 - (-2)/16). Suppose -20*b = -p*b - 132. Calculate the lowest common multiple of b and 24*4/(32/6). 198 Let s = -216 - -427. Let u = s - 181. What is the least common multiple of u and 12? 60 Let j(z) = -z**2 + 21*z - 24. Let s be j(9). What is the common denominator of -55/4 and (-12)/s*(-4)/(-16)? 28 What is the common denominator of 83/1630 and (15/((-270)/(-24)))/(-2) - (-21345)/32274? 17930 Find the common denominator of 1/710 and (-15)/18 + (7032/2769 - 25/15). 9230 Let p = -5943583/175 + 33963. Find the common denominator of ((-345)/(-25))/(16/(-10)) and p. 1400 Let l = 317/40 - 19/5. Find the common denominator of l and 95/8572. 17144 Suppose -c + 178 = 2*g, -149 = -5*g - c + 290. Let u = -78 + g. Suppose d - 3 = u. Calculate the least common multiple of d and 12. 12 Let n(r) = r**3 + 5*r**2 + 3*r - 8. Let v be n(-4). Let m be -120409*(-4)/(-139296) - v. Let z = 1/1451 - m. Calculate the common denominator of z and -50. 24 Let x = -14801 - -8381. Let f = 9223651 + -110760775/12. Let r = f - x. What is the common denominator of -43/3 and r? 12 Let w = 476111/23610 + 4/3935. Let x = 7344 - 117417/16. Calculate the common denominator of w and x. 48 Let w = 45753 + -4392415/96. What is the common denominator of w and -61/12? 96 Let r = -1378 - -2665/2. What is the common denominator of 109/10 and r? 10 Let h = 41/45 + -7/5. Let x = -9691 - -193859/20. Find the common denominator of h and x. 180 Let y = 26301 + -788921/30. What is the common denominator of -49/90 and y? 90 Let t = -47779/6036 - 1/1006. Find the common denominator of t and 293/(-80) - (27 + 6916/(-260)). 48 Let y(r) = 2*r**3 + r**2 + 11. Let p be y(-3). What is the common denominator of -101/32 and (-9130)/(-4760) - 4/p? 224 Let z = 11501/1249828 - -36/1871. Find the common denominator of z and 83/22. 7348 Let s(v) = -3*v - 2 - 2*v - 3*v - 4 + 4*v. What is the smallest common multiple of s(-6) and 12? 36 Let k(i) = 168*i - 801. Calculate the smallest common multiple of 813 and k(5). 10569 Suppose -200*d + 194*d + 420 = 0. Suppose -51 = -4*v + 33. Calculate the lowest common multiple of d and v. 210 Let m = 5229 + -20833/4. Let g = -12429 - -124169/10. Find the common denominator of g and m. 20 Let u(p) = 4*p**2 + 209*p - 3285. What is the least common multiple of u(14) and 2635? 13175 Let x = -18727/3220 - -553/115. Calculate the common denominator of x and 101/118. 8260 Let f = 3164 + -3126. Calculate the least common multiple of 165 and f. 6270 Let a = -172861 + 39066489/226. Calculate the common denominator of -15/8 and a. 904 Let w be 3 + 8*(-4 + 1 + 2). What is the common denominator of -26/33 and w + 4 + 49/9? 99 Let n = 1329565/16 + -83101. Calculate the common denominator of n and 106/32 - (0 + 1). 16 Let v be (1005/1250)/((-120)/42). Let s = 4/625 + v. What is the common denominator of -61/105 and s? 840 Let g = 96 + -92. Suppose 17 - 57 = -g*c. Calculate the lowest common multiple of c and 182. 910 Suppose b = -c + 405, 1317 = 5*b + 3*c - 720. What is the least common multiple of 1781 and b? 5343 Let w = 16473/1880 - 117/1880. Calculate the common denominator of ((-34)/6)/(14/(-9)) and w. 70 Let t be 3 - (8199/8202 - -2). Let v = t - -82013/19138. Let z = -442 + 1809/4. What is the common denominator of v and z? 28 Let b = -778769871/1280 - -608414. Find the common denominator of b and 44/5. 1280 Let y(j) = -j**3 - 9*j**2 - 15*j - 1. Let s be y(-7). Suppose 0 = 5*r - 4*q + s*q - 38, 2 = -3*r + 5*q. What is the smallest common mu
{ "pile_set_name": "DM Mathematics" }
est integer? 6 What is 9659224 to the power of 1/3, to the nearest integer? 213 What is 265400 to the power of 1/3, to the nearest integer? 64 What is 18807445 to the power of 1/3, to the nearest integer? 266 What is 4137125 to the power of 1/2, to the nearest integer? 2034 What is the square root of 17618479 to the nearest integer? 4197 What is 53894 to the power of 1/2, to the nearest integer? 232 What is 1875279 to the power of 1/8, to the nearest integer? 6 What is the third root of 1886089 to the nearest integer? 124 What is 73831 to the power of 1/2, to the nearest integer? 272 What is 810463 to the power of 1/6, to the nearest integer? 10 What is 1588112 to the power of 1/2, to the nearest integer? 1260 What is 465132 to the power of 1/6, to the nearest integer? 9 What is 10709080 to the power of 1/3, to the nearest integer? 220 What is 1208587 to the power of 1/2, to the nearest integer? 1099 What is the ninth root of 11302861 to the nearest integer? 6 What is the square root of 98391 to the nearest integer? 314 What is 21817 to the power of 1/2, to the nearest integer? 148 What is the third root of 1377184 to the nearest integer? 111 What is the fifth root of 997880 to the nearest integer? 16 What is 581528 to the power of 1/2, to the nearest integer? 763 What is the square root of 390582 to the nearest integer? 625 What is 1372521 to the power of 1/3, to the nearest integer? 111 What is 1962728 to the power of 1/2, to the nearest integer? 1401 What is the tenth root of 196798 to the nearest integer? 3 What is the square root of 181325 to the nearest integer? 426 What is the square root of 205794 to the nearest integer? 454 What is 296685 to the power of 1/2, to the nearest integer? 545 What is 404608 to the power of 1/5, to the nearest integer? 13 What is the cube root of 39052 to the nearest integer? 34 What is the square root of 3326048 to the nearest integer? 1824 What is the eighth root of 3071370 to the nearest integer? 6 What is the third root of 404373 to the nearest integer? 74 What is the cube root of 4473033 to the nearest integer? 165 What is 2739371 to the power of 1/3, to the nearest integer? 140 What is 3646294 to the power of 1/7, to the nearest integer? 9 What is the seventh root of 9843 to the nearest integer? 4 What is 11199573 to the power of 1/6, to the nearest integer? 15 What is 8865130 to the power of 1/3, to the nearest integer? 207 What is the fifth root of 6863151 to the nearest integer? 23 What is the cube root of 116267 to the nearest integer? 49 What is 2178619 to the power of 1/2, to the nearest integer? 1476 What is the square root of 2181986 to the nearest integer? 1477 What is the cube root of 866544 to the nearest integer? 95 What is 2719955 to the power of 1/2, to the nearest integer? 1649 What is the third root of 1025258 to the nearest integer? 101 What is the eighth root of 24948626 to the nearest integer? 8 What is 903215 to the power of 1/2, to the nearest integer? 950 What is 2836249 to the power of 1/2, to the nearest integer? 1684 What is the seventh root of 324247 to the nearest integer? 6 What is the square root of 602519 to the nearest integer? 776 What is the third root of 96920 to the nearest integer? 46 What is the fifth root of 349096 to the nearest integer? 13 What is 11963491 to the power of 1/3, to the nearest integer? 229 What is the tenth root of 8542785 to the nearest integer? 5 What is 19314119 to the power of 1/3, to the nearest integer? 268 What is 14074032 to the power of 1/2, to the nearest integer? 3752 What is 339082 to the power of 1/2, to the nearest integer? 582 What is the square root of 206161 to the nearest integer? 454 What is 150332 to the power of 1/3, to the nearest integer? 53 What is 11351316 to the power of 1/3, to the nearest integer? 225 What is the square root of 57352 to the nearest integer? 239 What is the third root of 3605459 to the nearest integer? 153 What is the third root of 813331 to the nearest integer? 93 What is 127170 to the power of 1/3, to the nearest integer? 50 What is the third root of 158722 to the nearest integer? 54 What is 4850662 to the power of 1/2, to the nearest integer? 2202 What is 10009631 to the power of 1/10, to the nearest integer? 5 What is 40825 to the power of 1/3, to the nearest integer? 34 What is 16060944 to the power of 1/10, to the nearest integer? 5 What is 80970 to the power of 1/2, to the nearest integer? 285 What is 505945 to the power of 1/2, to the nearest integer? 711 What is the cube root of 2302786 to the nearest integer? 132 What is the third root of 17680862 to the nearest integer? 261 What is 4060447 to the power of 1/5, to the nearest integer? 21 What is 10087657 to the power of 1/7, to the nearest integer? 10 What is the square root of 108813 to the nearest integer? 330 What is the cube root of 4604801 to the nearest integer? 166 What is 927724 to the power of 1/3, to the nearest integer? 98 What is 111009 to the power of 1/7, to the nearest integer? 5 What is the square root of 483698 to the nearest integer? 695 What is 661728 to the power of 1/2, to the nearest integer? 813 What is 2705270 to the power of 1/6, to the nearest integer? 12 What is 135390 to the power of 1/3, to the nearest integer? 51 What is 14363227 to the power of 1/9, to the nearest integer? 6 What is the third root of 9770209 to the nearest integer? 214 What is the square root of 251449 to the nearest integer? 501 What is 1493214 to the power of 1/2, to the nearest integer? 1222 What is the cube root of 14462511 to the nearest integer? 244 What is 261005 to the power of 1/4, to the nearest integer? 23 What is the third root of 1791018 to the nearest integer? 121 What is the third root of 4279700 to the nearest integer? 162 What is the eighth root of 4551676 to the nearest integer? 7 What is 462823 to the power of 1/5, to the nearest integer? 14 What is the third root of 79019 to the nearest integer? 43 What is the cube root of 761733 to the nearest integer? 91 What is the seventh root of 2338003 to the nearest integer? 8 What is the seventh root of 93514 to the nearest integer? 5 What is the square root of 5623972 to the nearest integer? 2371 What is the square root of 2336700 to the nearest integer? 1529 What is 360572 to the power of 1/10, to the nearest integer? 4 What is the third root of 721000 to the nearest integer? 90 What is 1148954 to the power of 1/3, to the nearest integer? 105 What is the square root of 877680 to the nearest integer? 937 What is 110667 to the power of 1/3, to the nearest integer? 48 What is the seventh root of 3186991 to the nearest integer? 8 What is 2565674 to the power of 1/8, to the nearest integer? 6 What is the cube root of 8593564 to the nearest integer? 205 What is the seventh root of 816395 to the nearest integer? 7 What is 421645 to the power of 1/7, to the nearest integer? 6 What is the square root of 247328 to the nearest integer? 497 What is the cube root of 29707 to the nearest integer? 31 What is 145214 to the power of 1/3, to the nearest integer? 53 What is the sixth root of 128266 to the nearest integer? 7 What is 1695671 to the power of 1/3, to the nearest integer? 119 What is the cube root of 3295841 to the nearest integer? 149 What is the sixth root of 15206152 to the nearest integer? 16 What is the third root of 19999673 to the nearest integer? 271 What is the third root of 260598 to the nearest integer? 64 What is the seventh root of 738846 to the nearest integer? 7 What is the square root of 1807339 to the nearest integer? 1344 What is 262041 to the power of 1/7, to the nearest integer? 6 What is the sixth root of 1387189 to the nearest integer? 11 What is the square root of 3017798 to the nearest integer? 1737 What is 21703 to the power of 1/2, to the nearest integer? 147 What is 530831 to the power of 1/8, to the nearest integer? 5 What is 3918124 to the power of 1/2, to the nearest integer? 1979 What is the eighth root of 3620434 to the nearest integer? 7 What is 1232045 to the power of 1/2, to the nearest integer? 1110 What is the third root of 129391 to the nearest integer? 51 What is 5119377 to the power of 1/6, to the nearest integer? 13 What is the fifth root of 12165
{ "pile_set_name": "DM Mathematics" }
+ 1263*r**3 - 5*r**2 - 3834*r**3 + 11*r. Let l be -20*(-1)/(-6)*(-9)/(-3). Let p be j(l). Round p to the nearest one hundred thousand. 2600000 Let a = 1640.9998731 - 1641. What is a rounded to five dps? -0.00013 Let q = 27 - -10. Let a = -3.5 - q. Let j = -32 - a. What is j rounded to the nearest integer? 9 Let d = 6 - -49. Let f = d + -55.0000061. What is f rounded to 6 decimal places? -0.000006 Let s be 7 - -4*(1 - 2). Let c be 2*-1 - 6/(-1). Suppose f = s*t + 41997, c*f + 4*t - 168004 = -0*f. Round f to the nearest ten thousand. 40000 Let z = 0.0124 - 0.012400458. What is z rounded to seven dps? -0.0000005 Suppose 5*n - 8*n - 21 = 0. Let m(q) = 459185*q**2 + 11*q + 20. Let a be m(n). Suppose -3*r - 4499998 = -4*r - t, 4*t = 5*r - a. Round r to the nearest 1000000. 5000000 Let f = -1.2 - -3.1. Let k = f + -1.7. What is k rounded to one decimal place? 0.2 Let m = -8396781379.99999881 - -8396781246. Let b = -124 - 10. Let k = b - m. What is k rounded to 7 dps? -0.0000012 Let t = 543.54821 + -543.6. Let s = t - -0.05. What is s rounded to four decimal places? -0.0018 Let p = 138543 + -138541.500005. Let c = p - 1.5. What is c rounded to 5 decimal places? -0.00001 Let a = -0.53075 + 0.5107514. Let z = -0.09 - -0.07. Let p = z - a. Round p to 6 decimal places. -0.000001 Suppose -4*b = 5*b + 81. Let r = 256382 - 16656382. Let u be b - -9 - (r - 0). What is u rounded to the nearest one million? 16000000 Let f = 49.94 + -0.94. Let d = 31496850.9999832 + -31496900. Let n = d + f. Round n to 6 dps. -0.000017 Suppose -13 = 2*x - 3, h = -5*x + 423815. Suppose -7*n + 136160 = -h. What is n rounded to the nearest ten thousand? 80000 Let j = -12.5 + 5.9. Let z = -6.227 - j. What is z rounded to 1 decimal place? 0.4 Let a = 2.6 + -4. Let m = a + 1.40095. Round m to 4 dps. 0.001 Let l be (-2)/9 - (-33)/27. Suppose l = -0*r + r. Let g be 3150*(r + 3 + -2). Round g to the nearest one thousand. 6000 Let a = 3717780 - 3717725.999953. Let g = a + -54. Round g to 4 decimal places. 0 Let k = -301901 + 301808.0205. Let d = 93 + k. Round d to 2 decimal places. 0.02 Let p be 652*((-87)/(-6))/(3/(-15)). Let h = 80270 + p. What is h rounded to the nearest ten thousand? 30000 Let s = -169.999368 + 170. What is s rounded to four decimal places? 0.0006 Suppose 362071 = -3*d + f + 87245, -2*f + 91602 = -d. What is d rounded to the nearest 1000? -92000 Let t be -4 + 8/2 + 0. Suppose -4*v - 47000 - 19800 = t. What is v rounded to the nearest one thousand? -17000 Suppose -21 = -5*b + 8*b. Suppose 4*f + 9 = -7. Let s be ((-6)/b)/(f/(-56)). Round s to the nearest integer. 12 Let i = 1.28 + -1.2. Let u = i + -0.12. Round u to one dp. 0 Let v(k) = k**3 - 4*k**2 - 12*k + 2. Let i be v(6). Let d be 14193/(-18) - 1/i. Round d to the nearest one hundred. -800 Suppose 2*z - 8*g - 16859985 = -5*g, -4*g + 20 = 0. Round z to the nearest 1000000. 8000000 Let n = 1.079 + -1. Let k = 0.07900225 - n. What is k rounded to six decimal places? 0.000002 Let g be (-16*(-3)/15)/(4/1750). What is g rounded to the nearest 1000? 1000 Let x = -10 + 9. Let d = x + 17. Let j = 16.44 - d. What is j rounded to 1 dp? 0.4 Let p be -1*(-3)/(-6)*-68. Suppose 10 = -4*u + p. Let z be (u/(-4))/(3/52000). What is z rounded to the nearest ten thousand? -30000 Let c = 1.072 - 0.072. Let f = c - 3.2. Round f to zero dps. -2 Let v(u) = 102871*u**2 + 5*u - 114. Let f be v(-18). Round f to the nearest 1000000. 33000000 Let o = -18 + 14.4. Let c = -3.5999948 - o. Round c to six decimal places. 0.000005 Let z = 4894 - 4262.6. Round z to the nearest one hundred. 600 Let u = 128 + -122. Suppose u*g = -10*g - 1014400. Round g to the nearest ten thousand. -60000 Let y = 8.7 - 8. Let m = -0.0366895 - -0.7366833. Let z = y - m. Round z to six dps. 0.000006 Let u = -121425.959 - -121492. Let d = 66 - u. What is d rounded to two dps? -0.04 Let x = 10.987 + -11. Let j = -43.1391 - -43.15210041. Let f = j + x. What is f rounded to 7 decimal places? 0.0000004 Let c = 622154 + 52846. Round c to the nearest 100000. 700000 Let x = 0.24468629 - 0.2447. What is x rounded to seven dps? -0.0000137 Let y = -0.01158281 + -24.69302719. Let x = 19.704525 + y. Let d = -5 - x. Round d to five dps. 0.00009 Let n = 6890601.1351 + -6890288.13509857. Let m = -313 + n. Round m to seven decimal places. 0.0000014 Let s = 636.315 - 635. What is s rounded to 2 dps? 1.32 Let b = 1557.999998416 + -1558. What is b rounded to 7 decimal places? -0.0000016 Let j = -24 - -10.5. Let x = -12 - j. Let o = 5 - x. Round o to the nearest integer. 4 Suppose -6*q - 2502794 = 977206. Round q to the nearest one hundred thousand. -600000 Let q = -13.19 + -459.91. What is q rounded to the nearest one hundred? -500 Let b(n) = n**3 - 16*n**2 - n + 14. Let v be b(11). Let c be 90*(v/(-6))/(-7). Round c to the nearest 100. -1300 Let w = 86 - -32. Let p = -78841530 + 78841647.999906. Let o = w - p. Round o to 5 dps. 0.00009 Suppose 2*d = 3*q + 741991, 0 = 3*d - 0*d + 2*q - 1113006. Round d to the nearest ten thousand. 370000 Let i = 12.01 + -0.01. Let n = i - -48. Let d = 59.999963 - n. Round d to 5 decimal places. -0.00004 Let j = -8216.8683 + 8216. Let q = -9.0027 + j. Let t = -0.071 - q. What is t rounded to zero dps? 10 Let q = 227.190732 - 227.09. Let m = 0.101 - q. What is m rounded to 5 dps? 0.00027 Let x = -7 - -10. Suppose x*c - 15 = 5*i - 4*i, -4*c + 2*i = -20. Suppose 2*p - 5*r = 87, -c*p + 3*p - 3*r + 63 = 0. Round p to the nearest ten. 40 Let u = -37473 - -108031. Suppose -3*k = -2*k - u. Suppose -k = 7*g + 68742. Round g to the nearest 1000. -20000 Let q = 3928 + -3927.6394. What is q rounded to two decimal places? 0.36 Let n be ((-1130)/3)/(10/(-240)). Suppose 3*g = n + 3560. Round g to the nearest one thousand. 4000 Let c be ((-2500)/(-3))/(-5*9/382860). Round c to the nearest one hundred thousand. -7100000 Let p = 7 + -4. Let y = -2.9887289 - 0.0112666. Let m = y + p. Round m to 6 decimal places. 0.000005 Let h = -60 - -52. Let n = -1943868142 - -1943868150.00000047. Let v = h + n. Round v to seven decimal places. 0.0000005 Let z(p) = -p**2 + 5*p - 2. Let v be z(3). Suppose -12 + 46 = -l - 4*s, -l + 2*s = v. Let r = l - -31. Round r to the nearest 10. 20 Let z(m) be the third derivative of -182813*m**6/60 - m**5/12 - m**4/12 + 4*m**3/3 - m**2. Let g be z(-4). Round g to the nearest one million. 23000000 Let j be ((-57)/(2 - -1) + 0)/(-1). Let c(n) = 3894*n + 14. Let y be c(j). Round y to the nearest 10000. 70000 Let w = 95.62 - 124. What is w rounded to the nearest integer? -28 Let j = 28 + -32. Let n(r) = -17*r + 3. Let i be n(j). What is i rounded to the nearest ten? 70 Let j(t) = 14 - 6 + 2 - 1031*t + 4. Let s be j(-6). Round s to the nearest 1000. 6000 Suppose 0 = -4*x + 3*h + 45, 4*x - 70 = 4*h - 6*h. Let a be ((-40)/6)/(3 + (-43)/x). Round a to the nearest 10. -50 Let t be (-4323822705)/(-36) - (-2)/(-8). Let z = -39706186 + t. Suppose -z = -4*r + 3*d - 4*d, 100500000 = 5*r - 5*d. What is r rounded to the nearest 1000000? 20000000 Let q = -474362.1 - -34614.1. Let d = 439739.99962 + q. Let h = 8 + d. Round h to 4 dps. -0.0004 Let p = -31.336 + 54.683. Let y = p + -23. Round y to two decimal places. 0.35 Let h = -390 - -291. Let q = -709 + 809.46. Let k = h + q. Round k to 1 decimal place. 1.5 Let j = -6 - 1. Let t(r) = -r**3 - 8*r**2 - 7*r - 7. Let a be t(j). What is a rounded to the nearest 10? -10 Let y(m) = -75*m + 25. Suppose 3*a + 23 = -16. Let i be y(a). Round i to the nearest 10000. 0 Suppose -n + 31 = 11. Let h = n + -27. Round h to the nearest 10. -10 Suppose -4*f + 5*h - 13 = -0*f, -5*f = 3*h - 30. Suppose -k - 12 = 2*v, -3*v + f*k + 0*k - 18 = 0. Round v to zero decimal places. -6 Let t = 76 + -113. Let f = -3.9 + -31.94. Let i = f - t. What is i rounded to 1 dp? 1.2 Let d = -95708.48 - -95700.527393. Let m = d - -29.9526094. Let x = m - 22. What is x rounded to 6 decimal places? 0.000002 Let o(z) = -z**3 + 5*z**2 - 4*z + 3. Let g be o(4). Suppose g*v + 18 = 24. Suppose 3*n = -0*n - 3, 4*x + v*n = 270. What is x rounded to the nearest 10? 70 Suppose 3*t + 66 = -3*a, 0 = 4*a - a - 5*t + 34. Let r = a + 10. Let u be (-16)/(-6)*(-6900)/r. Round u to the nearest 1000. 2000 Let g = 39401.2 - 39401.14999975. Let m = -0.05 + g. Round m to 7 dps.
{ "pile_set_name": "DM Mathematics" }
st to -0.1 in 0.4, -0.2, -1/3, -0.712? -0.2 What is the nearest to 0 in 0, 2/7, -38? 0 Which is the nearest to 1? (a) -3 (b) 1 (c) 90 b What is the closest to -4 in -0.43, 3/7, -2/3, -1? -1 Which is the closest to -1/3? (a) 3 (b) 0.5 (c) 0.1 c What is the nearest to 0.3 in 4, -0.5, -1424? -0.5 Which is the nearest to 19? (a) -2/7 (b) 3/2 (c) -2/3 b What is the nearest to 2/5 in 2, 5, -4? 2 Which is the nearest to 0? (a) 1/6 (b) -7 (c) -2/11 a What is the nearest to 1/17 in 0.5, 6, -5? 0.5 Which is the closest to -0.1? (a) -0.4 (b) -17 (c) 1 (d) 2 a Which is the closest to -1? (a) -2 (b) -2/25 (c) -8 b Which is the closest to 2/11? (a) 3/5 (b) 3 (c) -0.1 (d) -1/3 c What is the nearest to 3/4 in 4/3, 158, -2? 4/3 Which is the nearest to 4? (a) -0.01 (b) 2/9 (c) 3 c What is the nearest to 24 in 1/10, -1, 4, 5? 5 Which is the nearest to 0? (a) 4/5 (b) -4 (c) 2 a Which is the nearest to -0.2? (a) -1.2 (b) 5 (c) -4 (d) -0.5 d What is the nearest to -2/3 in 0.3, 0.1, 12? 0.1 Which is the nearest to 4? (a) -5 (b) 4 (c) 6 b Which is the closest to -12? (a) 0.3 (b) -5 (c) 3.5 b Which is the nearest to 2? (a) -0.5 (b) -8/5 (c) 5 (d) 2/21 d What is the closest to 1 in 9, 1, 4? 1 What is the closest to 1 in 0.3, 1/3, -0.4, 4? 1/3 Which is the closest to 0? (a) 12 (b) 0.1 (c) -3/4 b Which is the nearest to -2/5? (a) -0.6 (b) -2 (c) 5 (d) 1/4 a Which is the nearest to -1/3? (a) -15 (b) -0.5 (c) 1/8 b Which is the closest to 1/11? (a) -0.1 (b) -2 (c) -1/6 a What is the nearest to -9 in 0, -2/17, -1, 2? -1 What is the nearest to 2/5 in -45, -2/7, -0.3? -2/7 Which is the nearest to 2? (a) -3 (b) 2/3 (c) 0.4 (d) 3 d What is the closest to 0.6 in 1/2, -5/4, -0.01, -0.03? 1/2 Which is the closest to 151? (a) 1 (b) -2 (c) 2/15 a What is the closest to 1 in 0.2, 109, -6.2? 0.2 What is the closest to 0.1 in -1, -3, 0.5, -0.4? 0.5 Which is the nearest to 2? (a) 0.5 (b) 0.4 (c) 16/9 c What is the closest to 0 in 1/27, 16, 2? 1/27 Which is the closest to 1/3? (a) -1/3 (b) -4 (c) -5 (d) -0.03 d Which is the nearest to -0.1? (a) 13 (b) 5 (c) 2/7 (d) -1/9 d Which is the nearest to 3/8? (a) 0.4 (b) -3 (c) -1 (d) 1/4 a What is the nearest to -3 in 2/3, 0.3, 2/7, 0.32? 2/7 What is the nearest to -0.032 in 17, 0, -3? 0 What is the closest to -1 in 3, -0.3, -1? -1 What is the nearest to 10 in -1, -1/2, 144, -0.1? -0.1 What is the closest to 7 in 2, -2/3, -0.1, 0? 2 What is the closest to -0.11 in 0.4, -0.5, -5? -0.5 Which is the nearest to -2/5? (a) 0.49 (b) 4 (c) 1/4 (d) 0.07 d Which is the closest to 141? (a) 1/4 (b) -2/3 (c) -3/4 (d) -2/9 a What is the closest to -0.08 in -0.5, -1, 0.5, 1? -0.5 Which is the nearest to 10? (a) 1/7 (b) 1/2 (c) 3 c Which is the nearest to -15? (a) 0.4 (b) 4 (c) 5 a Which is the closest to 1.6? (a) -0.1 (b) 1/2 (c) -6 (d) 1/3 b Which is the closest to 1? (a) -1 (b) -2/13 (c) 1/8 (d) -5 c What is the closest to 3/5 in 0.2, 2/5, 3, 0? 2/5 What is the nearest to 8/9 in 4, 0, -5? 0 What is the nearest to -4 in -2, 24, 4? -2 Which is the closest to -5/7? (a) -5 (b) 5 (c) 4 a What is the nearest to -1/4 in 3, 0.3, -23/5, -0.1? -0.1 Which is the nearest to 0.7? (a) -34 (b) 0.2 (c) -5 b Which is the closest to -0.9? (a) 0.4 (b) 39 (c) -0.4 c What is the nearest to -1/2 in -4/9, -1/2, 0.7, -0.4? -1/2 Which is the closest to 2? (a) 569 (b) 3 (c) 5 (d) 2 d Which is the nearest to -1? (a) 0.4 (b) 2/7 (c) 0.17 (d) -0.25 d What is the nearest to 0.8 in -1/2, 4, 3, 0.1? 0.1 What is the closest to 3 in -3, -5, 4, 84? 4 What is the closest to 4/13 in 2, -2, 6, 5? 2 Which is the nearest to 1/2? (a) 0.4 (b) -1/7 (c) -0.1 (d) -4/45 a Which is the closest to 0? (a) 0.3 (b) 1.1 (c) -2/9 (d) 1/3 c Which is the nearest to 2/9? (a) -3 (b) -1.3 (c) -0.2 (d) -5 c Which is the nearest to 0.1? (a) -1/5 (b) 0 (c) 5 (d) -1 b What is the closest to 2/7 in -3/2, -5, -1/47? -1/47 Which is the nearest to 0? (a) 0.1 (b) -3 (c) 5 (d) -0.21 a Which is the closest to 15? (a) -2/13 (b) 5 (c) -0.3 (d) 1/5 b What is the closest to -4/7 in 3, 4/3, -1/5, -5? -1/5 Which is the closest to 0.01? (a) 2/5 (b) 2 (c) -247 a What is the nearest to 0.6 in 5, 0, 0.11? 0.11 What is the nearest to -2/7 in -5/3, -13.41, -3, 0? 0 Which is the nearest to -1/2? (a) 2 (b) 0.2 (c) -3/4 (d) 0.019 c What is the nearest to -0.1 in -3, 11, -20? -3 Which is the closest to -0.09? (a) 3 (b) -3 (c) -2/19 c Which is the closest to -1/2? (a) -151 (b) 3 (c) -2 c Which is the closest to -3/7? (a) -1 (b) 5/2 (c) 4 (d) 0.5 a What is the nearest to 3 in 2/17, 3, 2/11? 3 What is the closest to 1 in 1/5, -1/5, -1, -10? 1/5 Which is the nearest to 3? (a) 7 (b) 0 (c) 2/15 c Which is the closest to -3? (a) -0.1 (b) 5 (c) -4 (d) 0.5 c What is the nearest to 1 in 0.5, 1, 5? 1 What is the nearest to 0.1 in 5, -0.05, 2/13? 2/13 Which is the nearest to 0? (a) -3 (b) -1 (c) 5 (d) -0.06 d Which is the closest to -1/4? (a) 4 (b) -3 (c) -3/13 c Which is the closest to 1/3? (a) -1.5 (b) -2/7 (c) 2/51 (d) 5 c What is the nearest to 1/3 in 8, 10, -5? -5 Which is the nearest to 2/5? (a) -4 (b) -1/4 (c) -1/5 (d) 47 c Which is the nearest to -2/5? (a) -0.4 (b) 3/7 (c) -3 (d) 3/4 a What is the closest to 1 in 0.1, 5, 0, -4? 0.1 Which is the nearest to -4? (a) 5 (b) 0.6 (c) -5 c What is the closest to 1 in 4/5, 4, -5, 1/49? 4/5 Which is the nearest to 0.1? (a) -0.06 (b) 2/9 (c) 0.082 c What is the closest to -5/3 in -1/8, -0.5, -3? -0.5 What is the closest to -1/4 in 1.2, 2/9, 18? 2/9 What is the closest to -0.1 in 3, 7.2, -0.3, 4? -0.3 Which is the closest to 1? (a) 2/23 (b) -5 (c) -31 (d) -0.2 a What is the closest to 38 in -3, -1/4, 4? 4 What is the nearest to -1/2 in 0, 123, -0.2? -0.2 What is the closest to 2 in 2/3, -0.4, -0.1? 2/3 What is the nearest to -32 in -144, -2/11, -2/3? -2/3 What is the closest to 8 in 3, -2, -0.01, -2/9? 3 Which is the closest to 1/3? (a) -4 (b) 1/4 (c) 14323 b What is the closest to -0.1 in 0.2, 5, 0.06, 2/13? 0.06 What is the closest to -56 in -4, -3, 3? -4 Which is the nearest to 2? (a) -2/7 (b) 1/10 (c) 8 (d) -3 b What is the nearest to 2 in -2, -4, -0.087? -0.087 What is the nearest to 0.05 in -0.18, 1, -2, 2? -0.18 Which is the closest to -8? (a) -4/3 (b) -0.2 (c) -2/5 (d) -0.3 a Which is the closest to 0? (a) -2 (b) 36 (c) 0.5 (d) 7.6 c What is the nearest to -2/3 in 0, 3, -35/12, -1/4? -1/4 Which is the nearest to 3.8? (a) -0.3 (b) 3 (c) 0.9 b What is the closest to -0.2 in 1.8, -2/5, 3? -2/5 Which is the nearest to -2? (a) -0.5 (b) -0.3 (c) -1 c Which is the closest to 0? (a) 1 (b) -1/3 (c) -4/9 (d) -4 b Which is the nearest to -2/15? (a) -1 (b) 1 (c) -5 a Which is the nearest to 2/3? (a) -0.08 (b) 1/2 (c) -6 (d) 4 b Which is the nearest to -0.1? (a) 3 (b) -1 (c) -8 (d) -89 b What is the closest to -8 in 3, 4, -0.4? -0.4 What is the closest to -0.1 in 0.3, 0, 4.4, -0.4? 0 Which is the closest to 2/5? (a) -1 (b) 3 (c) 256 a What is the closest to -1.2 in 1/2, 1, 2/7? 2/7 What is the closest to 2/9 in 18, -0.5, 4? -0.5 What is the closest to 0.2 in 3, -3, 16, -24? 3 Which is the closest to 4? (a) 2 (b) -2 (c) -7 a What is the closest to -2 in 0, 5, -1/5, 0.05? -1/5 Which is the nearest to -3? (a) 0.3 (b) -0.1 (c) -1 (d) 2/9 c What is the closest to -2/13 in -2/5, 5, 0.2, -4? -2/5 What is the closest to 0.05 in 0.3, 0.5, -5, -2? 0.3 Which is the nearest to -19? (a) -4/3 (b) 3 (c) 5 (d) -5 d What is the closest to 3/14 in 1/9, -3, 5? 1/9 What is the closest to 1/2 in 0.5, 0.04, 0? 0.5 What is the nearest to 0.1 in 0.4, -25, -4? 0.4 What is the nearest to 0.8 in 0.26, -1/7, -2/5, -2/9? 0.26 Which is the nearest to 5/9? (a) -0.5 (b) 0.4 (c) -5 b Which is the nearest to 9/2? (a) -5 (b) -9 (c) 0.3 c Which is the nearest to 0.06? (a) 22 (b) -2/3 (c) 2/11 c Which is the closest to -4? (a) -0.16 (b) -0.3 (c) -1/11 (d) 7 b Which is the nearest to 0.3? (a) -8 (b) 0 (c) -11 b Which is the closest to -2/7? (a) 6/13 (b) 5 (c) 0.3 c Which is the nearest to 1/5? (a) 2/5 (b) 0.9 (c) -8/7 (d) 20 a Which is the nearest to -47? (a) -4 (b) -1 (c) 1/9 a
{ "pile_set_name": "DM Mathematics" }
) to w + g*u and give g. -201 Rearrange 23*o - 117 - 118 + 236 to l*o + d and give l. 23 Rearrange 2 + r**4 - 185841*r - 11*r**2 - 12*r**3 + 185841*r to the form j*r**3 + p*r + i*r**2 + x*r**4 + o and give p. 0 Express 206*m - 40*m + 100*m + 57*m in the form i + p*m and give p. 323 Rearrange -3*b - 118 + 118 + 24*b**3 - 10*b**3 to u + x*b**2 + c*b**3 + l*b and give l. -3 Rearrange (151*n + 116 - 116)*(-2*n + 3*n + 3*n) to u*n + i + h*n**2 and give i. 0 Rearrange -1 + 4*g + 1 + (1 - 2*g - 1)*(-2 + 0 + 4) - 2*g - g + 2*g - 5542 + 21*g - 5551 + 11083 to o*g + z and give z. -10 Rearrange (2 - 2 - 2)*(-2 - 3 + 3)*(-302 - 27 - 74)*(-2*h + 0*h + 4*h) to s + t*h and give t. -3224 Rearrange -19*a**2 + 18*a**2 - 5*a**3 + 4*a**3 + 2 + 12*a**4 to the form n*a**4 + j*a**2 + v + f*a + c*a**3 and give v. 2 Rearrange (4*v - v + 4*v)*(11*v + 5 - 6 - 2) to a + r*v + t*v**2 and give t. 77 Express 0*c - c - c + (-1 + 1 + 10*c + (1 + c - 1)*(3 - 2 - 3) - 4*c + 5*c - 3*c)*(42 - 51 - 66) in the form r + v*c and give v. -452 Rearrange 2*y**3 - 7*y**3 - 3*y**4 + 0*y**4 - 19*y**3 + 0*y - 2*y to the form m*y**2 + g*y**4 + f*y + h*y**3 + r and give h. -24 Express -1167*g + 34 - 92 + 58 as x*g + s and give x. -1167 Rearrange (-1 + 2*k + 1)*(121 - 299 - 94)*(-2*k**2 + 2*k**2 - k**2) to the form d*k**2 + x*k**3 + t + o*k and give x. 544 Express (998 + 1562 - 2085)*(0 - 4*c - 1 + 2*c) as l*c + i and give l. -950 Rearrange 197*p - 195*p - 45 - 174 + 87 - 335 to the form j*p + n and give n. -467 Express -56*f + 1203*f - 107056 + 107055 + (-3*f + 4*f - 3*f)*(2 - 4 + 4) - 2*f + 3*f - 3*f + 4*f + f - 3*f as p + c*f and give c. 1143 Express -19 - 25 + 44 + 446*h**2 in the form f*h + o + r*h**2 and give r. 446 Rearrange 6*f**2 + f**3 + 959*f + 1 - 5*f**2 - 992*f to d*f**3 + a + m*f**2 + v*f and give v. -33 Rearrange (1 - 1 - 2*k + 1 - 1 - 2*k + (4 - 1 - 2)*(-2 + 2 - 2*k) - 1 + 1 - 2*k + 3*k + 0*k - k)*(-10*k - 62*k + 31*k) to z*k**2 + n*k + l and give z. 246 Express 1285*c - 1709*c - 2 + 2 in the form t*c + u and give t. -424 Rearrange p**4 + 28*p**3 + 28*p**3 + 2*p + 28*p**3 - 82*p**3 + 18 - 4*p**2 to k*p**2 + d*p**3 + f*p + r*p**4 + x and give k. -4 Rearrange (2 - 4 + 1)*(-q + 0*q - q) + (-4 + 5 + 4)*(-q + 0 + 0) - 9*q - 13*q + 8*q to w*q + j and give w. -17 Rearrange 217 - 149 - 3*b + 2*b**2 - 134 to the form u + o*b**2 + f*b and give o. 2 Express (-26*t - 34*t - 121*t)*(-4*t + 2*t + 4*t)*(2 - 5 + 4) as h + l*t + i*t**2 and give i. -362 Rearrange 14*d + d + d + 6 + (2 + 2*d - 2)*(5 - 3 - 4) to w + a*d and give a. 12 Express -3 + 2131*a + 3 - 2215*a as d*a + h and give d. -84 Express 361*u - 721*u - 8*u**3 + 358*u as d + f*u + t*u**3 + p*u**2 and give t. -8 Express (-189 - 9 - 8)*(-6*o**2 + 3*o**2 - 6*o**2) in the form v + d*o + t*o**2 and give d. 0 Express -i**3 - 9226*i**2 + 3 - 24*i**4 + i + 9226*i**2 as l*i**3 + p*i**2 + d*i + h*i**4 + j and give l. -1 Rearrange -4*b**4 - 2*b**4 + b**4 + (-6*b**2 + 9*b**2 + 8*b**2)*(-39 + 39 - 14*b**2) to a*b**3 + h + c*b**4 + x*b**2 + t*b and give c. -159 Rearrange (-3 + 2 - 3)*(-4*r + 0*r + 3*r)*(4 - 18 - 47) to p*r + z and give p. -244 Rearrange f**3 - 541*f - 28 + 543*f + f**3 to the form u*f + v*f**2 + x*f**3 + m and give m. -28 Express (1 + 1 + 0)*(-2*a + a + 2*a)*(7*a**2 + 4*a**2 - 4*a**2 - 13*a**3) in the form d + t*a**3 + v*a + b*a**4 + z*a**2 and give b. -26 Express (-s**2 - 2*s**2 + s**2)*(-394*s - 6384 + 6384) as g*s**2 + z*s**3 + p*s + l and give z. 788 Express 2*h**3 - 3837*h - 3*h**3 - 26 + 3835*h + 5*h**2 in the form y*h**3 + l*h + a*h**2 + j and give j. -26 Rearrange 12754*w**2 - 12767*w**2 - 12*w + 5 - 3 to the form t + y*w**2 + r*w and give t. 2 Rearrange -5 + 3*a**2 - 5*a**2 - 5*a - 19*a**3 + 7*a + 55*a**3 to the form u + x*a**2 + d*a**3 + n*a and give x. -2 Express (10 - 10 - 10*l)*(0*l - 3*l + 5*l - 1 + 1 + 2*l + (0*l - 5*l + 4*l)*(0 + 1 - 3) - 9*l - 4*l + 3*l) in the form n + h*l**2 + k*l and give k. 0 Express (-4*b**2 + 8 - 8)*(71*b + 10*b - 38*b - 256*b) as j*b**2 + y + m*b + w*b**3 and give w. 852 Express (-i + 9*i - 2*i)*((-4*i**2 + i**2 + 4*i**2)*(-6*i + i + 3*i) - 18*i**3 - 32*i + 32*i) as r*i + j*i**4 + w + k*i**3 + f*i**2 and give r. 0 Rearrange -3773*r**2 + 2 + 62*r + 3773*r**2 + 2*r**3 to the form q*r**2 + f*r**3 + s*r + p and give s. 62 Rearrange (402*y**2 - 2209 + 2209)*(y - 2*y + 0*y**2 - y**2) to the form i*y**2 + f*y**3 + h*y + m*y**4 + r and give f. -402 Rearrange (4*z - 17 + 17)*((0 + 2 - 1)*(4 - 2 - 4) - 1 + 0 + 9 + (-5 - 2 + 2)*(1 - 3 + 4)) to the form n + l*z and give n. 0 Rearrange (-3*p - p + 5*p)*(-1 + 4 + 0)*(168*p**2 + 359*p**2 + 30*p**2 + 638*p**2) to the form u*p**2 + m + v*p + d*p**3 and give d. 3585 Rearrange (2*q + 4 - 4 + (29*q - 22*q + 66*q)*(-3 - 6 + 1))*(q + 0*q + q)*(-q**2 - 3*q + 3*q)*(1 + 2 - 1) to s*q**4 + g*q**3 + m*q + a + i*q**2 and give s. 2328 Express 0*z**4 + 2*z**4 - 17892 + 17889 - 13*z**3 - 2*z + 3*z**2 as y*z**2 + p*z**3 + o*z**4 + t + c*z and give t. -3 Express -111*g - 4622 + 4622 as p + m*g and give m. -111 Express -4*d**4 - 3*d**2 + 11*d + 2*d**4 + d**4 - 45*d + d**2 as u*d + v*d**3 + j*d**4 + h + k*d**2 and give k. -2 Rearrange -57*k - 10*k + 518*k to j*k + w and give j. 451 Express (3*o - 2*o + o)*(-14 + 12 - 11)*(0*o + 0*o + 2*o) + (0 + 5 - 2)*(2*o - 2*o + 2*o**2) as a*o + v + l*o**2 and give l. -46 Express -499*p**4 - p - 56*p**4 - 2*p**3 - 16*p**4 as x + c*p**4 + n*p**2 + g*p + z*p**3 and give c. -571 Rearrange (-p + 5*p - 3*p + (-1 + 2 - 3)*(-6*p + 3*p + 2*p))*(1 - 16 + 8 + (-2 - 4 + 4)*(3 + 0 - 1)) to the form x*p + c and give x. -33 Rearrange (-104*b + 3*b**2 + 95*b - b**2)*(3 - 1 + 3) to the form p*b + q + l*b**2 and give p. -45 Express (1 - 4 + 0*g - 2*g)*(1540*g**2 - 3631*g**2 + 1479*g**2) in the form z + k*g**2 + c*g**3 + o*g and give k. 1836 Express 4*i**2 + 3 - 1 + 4*i - 5*i**2 as x*i**2 + a + h*i and give h. 4 Rearrange 141*f - 8 - 279*f + 2*f**2 - 4*f**2 + 146*f to the form t + z*f + j*f**2 and give j. -2 Rearrange 26 - 52 - a**2 - a + a**3 + 2*a + 27 to k*a + t + c*a**2 + w*a**3 and give w. 1 Express (0*p - 5*p - 4*p)*(-3*p + 3*p + 5*p)*(4 - 2 - 4) as d*p + v*p**2 + q and give v. 90 Express -63*t**2 - 2*t**4 + 3*t**4 - 5*t**4 - 1 + t**4 + 2*t**3 in the form v*t**3 + r + w*t**2 + b*t**4 + z*t and give r. -1 Express 4*d**4 + 2*d + 3*d**4 - 1313*d**2 + 1315*d**2 in the form z*d**4 + p*d + n + u*d**3 + w*d**2 and give p. 2 Rearrange -7*c**2 - 12*c**2 + 16*c**2 - 5*c**2 to the form q*c**2 + r + l*c and give q. -8 Rearrange -1 - 2*g**2 + 2*g**4 + 4*g**2 + 8*g**3 - 11*g**3 to i*g + f*g**2 + a*g**4 + u*g**3 + w and give a. 2 Express 244*v**2 - 3 + 1 - 197*v**2 + 7 in the form j + s*v**2 + w*v and give j. 5 Rearrange 12*q**2 - 187 + 106 + 102 to c*q + g + h*q**2 and give c. 0 Rearrange 496 + 764*k - 989 + 493 to v + u*k and give u. 764 Rearrange -835*q + 25*q - 390*q + 69*q to the form u*q + b and give u. -1131 Rearrange (56 + 54 - 24 + 22 - 2)*(20*y**3 + 10*y**3 + 36*y**3) to p*y**3 + q + m*y**2 + s*y and give p. 6996 Rearrange (131 - 74*w - 131)*(-2*w - w + w) - 4 + 2 + 6*w**2 - 5*w**2 to l*w + u + x*w**2 and give x. 149 Express 20 - 17*g**2 - 382644*g + 382644*g in the form f + w*g**2 + p*g and give f. 20 Express -p + 4*p - p + (1 + 3 + 1)*((4*p + p - 4*p)*(2 - 1 + 0) + (4 + 1 - 4)*(p + 2*p - p)) - p + 2*p + 2*p in the form n + c*p and give c. 20 Rearrange 41 + 4*p**2 - 18 + 25*p**4 - 3*p**2 + 3*p**4 - 25 to w*p**4 + z*p + s*p**2 + f + o*p**3 and give f. -2 Express -2 + 5*n**2 - 2*n**3 + 12*n**2 - 21*n**2 in the form s*n + l*n**2 + y*n**3 + r and give l. -4 Express 22*p + 82*p + 625*p + 40*p as r*p + i and give r. 769 Rearrange -20*q + 8*q + q - 6*q - 35*q to the form v + h*q and give h. -52 Express (-3 + 0 - 3)*(2*j**2 - 2*j**2 - 3*j**2) + (-4 + 2 + 4)*(7*j**2 + 11*j**2 - 19*j**2) in the form c*j + a*j**2 + n and give a. 16 Rearrange (-10*x - 10*x - 4*x)*(-10*x**2 + 19*x**2 + 15*x**2) to the form w*x + u + h*x**3 + a*x**2 and give h. -576 Express -2*q**2 + 14*q + 5 - 5 - 12*q - 1 as f*q**2 + y*q + m and give y. 2 Rearrange 0*c**2 - c**2 + 0*c**2 + (-3 + 2*c + 3)*(0*c - 15*c - 134*c) to the form p + r*c + g*c**2 and give g. -299 Rearrange 23*q**3 + 8*q**2 + 190*q - 188*q - 2 - 5*q**2 to the form a*q**2 + c*q + n*q**3 + k and give k. -2 Rearrange -2*m -
{ "pile_set_name": "DM Mathematics" }
**(13/2)*g)*g*g**(2/41)*g)**(-1/31) assuming g is positive. g**(89713/22878) Simplify ((z/(z/(z/z**(-3))))/(z*z**(-3)/z*z))**20*((z*z**3)/((z**(-3/5)*z*z*z)/z))**(-3) assuming z is positive. z**(561/5) Simplify ((m/(((m*m**(-27))/m)/m))/m**1*(m/((m*m/(m/(m/m**(7/4)))*m)/m))**(4/39))**(-20) assuming m is positive. m**(-7300/13) Simplify (((d/(d**(-1/4)*d))/(d*d**(-6/7)))/((d**(-1)*d*d*d)/(d*d**2*d)))/((d*d**(-7)/d)/d**(-1/4))**(-3/20) assuming d is positive. d**(613/560) Simplify ((w*w*w**0/w)**19*(w/(w/((w**(1/4)/w)/w)*w)*w)/(w/(w*(w/w**2*w*w)/w)))/((w/(w/w**(2/3))*w)**49*(w**1)**(-1/79)) assuming w is positive. w**(-61055/948) Simplify (f*f**5*f*f*f**(11/4)*f*f*f**(-1)*f/((f*f**(-2/3))/f))**(-8) assuming f is positive. f**(-322/3) Simplify ((g**(2/9)*g**(-4)*g)/(g**(-1/10))**(2/63))**(-7) assuming g is positive. g**(874/45) Simplify (((q*(q/(q**(-2)*q*q)*q)/q)/q**(1/4))/(q**0)**(1/11))/((q*q*(((q**(-1)*q)/q)/q)/q)**(-18/7))**(39/5) assuming q is positive. q**(-2563/140) Simplify (c**(-2/23))**(-1/58)/(c/c**19)**(3/7) assuming c is positive. c**(36025/4669) Simplify ((o/((o/o**7)/o))**(-11)*((((o**(-19)/o)/o*o)/o)/o)/o**(-3/2))**(-22) assuming o is positive. o**2387 Simplify ((r**(-2/7))**47/((r/(r**(-5)*r))/(r**3*r)))/(((r/r**(-2/11))/r*r**(2/3))/(r**(-2/3)/(r**1/r*r*r*r))) assuming r is positive. r**(-4376/231) Simplify (((q*q**(-1/2)*q)/(q*q**5))/((q*q*q**(-1))/q**(5/3)))/(q**(-3)*q**1)**(-18/11) assuming q is positive. q**(-469/66) Simplify ((q/q**(2/9)*((q*(q*q*q/(q*q**5*q*q))/q)/q)/q)/(q**(1/3)/q)**8)/((q**(1/2))**(-19)/((q/q**(-2/9))/q*q**(-5/2)/q*q)) assuming q is positive. q**(19/3) Simplify i/(i*i**(1/3))*i**(-1/8)*(i*i**1)/(i/i**(2/11))*(i**6*i*i*i/i**(-2/21)*i)/((i*i**(-1/7))/((i*i**(-5)*i*i)/i)) assuming i is positive. i**(12865/1848) Simplify m**(-40)/(m*m*m**(-28))*m**(4/7)*m**(-12/5) assuming m is positive. m**(-554/35) Simplify ((s/(s/s**6))/s**(3/2))**19/((s/s**(-3/2))/(s**(-1/6)*s))**(-6/19) assuming s is positive. s**(3269/38) Simplify ((s**(-9/5))**(-2/21)*(s/s**(11/3))/s**5)**(-9) assuming s is positive. s**(2361/35) Simplify (((p/(p**(-2/15)/p))/p)**(-2/3)*(p**(-3/4))**(-41))**(-1/14) assuming p is positive. p**(-5399/2520) Simplify (w**1/w)**30/(w**7*w**7)*(w*(w*w*w**(-2)*w)/w)/w*w/w**(-6)*(w**(2/5))**(-2/25) assuming w is positive. w**(-879/125) Simplify (j**(-2/3))**(-9/4)*(((j*j*j**(1/2))/j)/j)/(j/(j**(-2/11)/j))*((j*j*j/(j*j**3))/(j**(1/4)/j))**(2/5) assuming j is positive. j**(-31/110) Simplify ((s*(s*s**(-4/7)/s*s)/s)**(2/13)/(s**(-3)*s)**(-1/10))**(-40) assuming s is positive. s**(488/91) Simplify ((s/(s/(s/(s*s**(9/2)*s))*s)*s**(-2/27))/(s/s**0*s*s/s**14))**29 assuming s is positive. s**(6931/54) Simplify (i**(-8)*i*i**(-2))**46/((i/(i**(3/2)*i)*(i*i/i**(-4))/i)/(i*i*i**(1/4))**(1/95)) assuming i is positive. i**(-158641/380) Simplify g*g**(3/7)*g**1*g/g**5*(g**(-5)/g)/g*((g/(g*g/(g**2/g)*g*g))/(g*g**(4/7)*g))**(-21) assuming g is positive. g**(612/7) Simplify (f**(2/5)/f**(-8/3))/(f*f**5*f**(1/11))*(f*f**(-5)*f**10/f)**11 assuming f is positive. f**(8576/165) Simplify (g**(-5)/g**(3/7))**26/((g**(-2/3)/g)/(g/(g**(-1/6)*g))*(g**(-2/7)/g)**(-13)) assuming g is positive. g**(-6553/42) Simplify (((y**(-1/6)*y*y/y**1)/(y/(y/((y*(y**(-2/7)*y*y)/y)/y*y*y)))**(2/19))**(1/30))**(-3/11) assuming y is positive. y**(-23/4620) Simplify (w**(2/5)*w/(w**4/w))**(1/49)*((w*w**3)/(w/(w**(-1/2)/w)))**23 assuming w is positive. w**(16889/490) Simplify ((f**0)**9)**(-40)*((f**(-2/5)/f)**(-1/10))**(-37) assuming f is positive. f**(-259/50) Simplify (((n*n**(6/7)*n*n)/n*n)/n*n**8)**(-4/11)*(n**1)**(1/2)/(n**1)**(-2/31) assuming n is positive. n**(-16153/4774) Simplify ((j**(-2/13))**23*j**(-26)/(j**30*j))**(-40) assuming j is positive. j**(31480/13) Simplify ((n**36*n*n**(-35))/(n*n**33*n)**(30/7))**(-2/11) assuming n is positive. n**(296/11) Simplify (((r**(2/5))**(9/2)/(r**(-2/17)*r**(-6)))**(-10))**(-13) assuming r is positive. r**(17498/17) Simplify r**4*r**6*(r**1)**(-30)*((r**(-1/3))**(3/38))**5 assuming r is positive. r**(-765/38) Simplify ((y/y**0)**(-30)*y**(-3)*y*y*y*(y/y**(-1/2))/y)/(((y**1*y)/y*y**0)/(y/(((y**3*y)/y)/y*y)*y**(-1))) assuming y is positive. y**(-67/2) Simplify (f*f/(f**(-13)/f)*f/f**(-8)*f**(2/27)/(f**(3/17)*f*f))**(1/12) assuming f is positive. f**(5255/2754) Simplify (v*v/((v*v*v**(-14/5)*v*v)/v*v)*v**(1/5)*(v*v/(v**6*v))**(-31))**(-16/3) assuming v is positive. v**(-832) Simplify ((q**1)**(1/7))**(-28)*(q**(-2/5)/(q*q**(-3/2)/q*q))/((q/q**(-1/3))/q**(-2)) assuming q is positive. q**(-217/30) Simplify (((r**(-2/5))**(2/15)/(r**(-2/5))**15)**(10/11))**(-44) assuming r is positive. r**(-3568/15) Simplify (((o**(3/2)*o)/o*o*o)/(o**(-2)/o)*(o**1)**23)/(o**(-3/4)/(o*o/o**1)*(o**(1/4))**(15/11)) assuming o is positive. o**(340/11) Simplify ((((s**(-1))**17)**(-2/11))**(-29))**(1/12) assuming s is positive. s**(-493/66) Simplify ((s**(2/5)*s)**(-3/16)*((s/(s/(s/(s**(-2/3)*s))*s))/s)**(-1/8))/((s**(-2))**(-36)*s**(-3/4)/s**1) assuming s is positive. s**(-16883/240) Simplify (c**(2/35)*c/c**37*c/c**0*c**8)**(-25/6) assuming c is positive. c**(4715/42) Simplify (s**1*s**(-2))/(s**(1/6)/s*s/((s**(2/9)*s)/s)*s)*(s*s**(-2/5)*(s**(-2)*s)/s)**(-40) assuming s is positive. s**(973/18) Simplify (c**(-10)/(c**(2/3)/c))**(1/52)*((c*c/c**(5/4))/c*c*c*c**(-2/3))**(-39) assuming c is positive. c**(-1655/39) Simplify ((n/(n**(-1)/n*n))/((n*n/(n/n**(1/3)))/n))**1*(n**(1/5)/n**(-6))/(n**(-4/5)*n**5) assuming n is positive. n**(11/3) Simplify (((n**11*n/(n*n**(2/25)*n*n))/(n*n**(1/3)*n*n*n)**(-9))**9)**46 assuming n is positive. n**(495972/25) Simplify (u**(1/3))**(-29)*u*u*u**(2/7)*u**4*(u**(-6)/(u**(4/7)/u))**(2/11) assuming u is positive. u**(-145/33) Simplify ((((d*d**(-3)*d*d)/(d/(d*((d*d**(-2)/d*d)/d*d)/d)))/((d*d**3)/d)**32)**(-11))**(-24) assuming d is positive. d**(-25872) Simplify ((f/f**(-1))**(-16)*(f**0)**(-37))/((f/f**3)/(f/f**(-5))*f**(-1)*f**(-3/5)*f) assuming f is positive. f**(-117/5) Simplify (((j*j**(-19))/j)/(j/(j*j**(1/14)))*(j*j*j/((j**3/j)/j))/(j*j**(3/4)*j))**(-1/3) assuming j is positive. j**(551/84) Simplify (u/(u/(u*u**(-3/10)))*u*(u/u**7)/u*u)/(u**7/u*u*u*u/(u/(u*u*(u*u*u/(u/u**(-1/4))*u)/u)))*((u**(-3)*u)/u**2)**(-22) assuming u is positive. u**(1439/20) Simplify (c**(-22)/c)**(-16)/((c*c**(3/16)/c*c)/c**(-7)) assuming c is positive. c**(5757/16) Simplify ((h**(-3/4)/h**(-2/11))/(h**1)**(-1/3))/((h*h**(1/2))/(h*h/h**0*h*h)*(h/h**0*h)/h**(-2)) assuming h is positive. h**(-229/132) Simplify (p/((p/(p/p**16*p))/p)*p**1/p*p*(p*p*p*p*p*(p*p**(9/5))/p*p)/(p*p/p**(-2/25)))**(-11/2) assuming p is positive. p**(1727/50) Simplify ((((w**7/w)/w**(-2/21))**43)**(-9/8))**20 assuming w is positive. w**(-41280/7) Simplify (p*p**(-15/2)/p*p/(p**10*p)*(p*p**(10/11))/((p**(1/8)/p*p)/p))**(3/31) assuming p is positive. p**(-3885/2728) Simplify ((t/(t*t*t**(-14)/t*t)*t)**(2/15)*(t*t*t*t**(26/5)*t)**(-17))**36 assuming t is positive. t**(-27816/5) Simplify ((y*y**(-12))/(y*((y*y/y**(-13/4))/y*y)/y*y)*(y**(-6/11))**(5/4))**(-24) assuming y is positive. y**(4734/11) Simplify (n**(-2/3)/n**(-5/3)*(n**(-6)/n)/(n*n**(-5)/n*n))/((n*n/n**7*(n/(n/n**(-4/9)))/n*n*n)/((n**(1/2)/n)/n)**(4/3)) assuming n is positive. n**(4/9) Simplify (((q**(-1/22)/q)/q*q/(q*q/(q/(q/(((q*q*(q*q**(-25))/q)/q)/q)))*q))/((((q*q/(q**15*q))/q)/q)/(q/q**(-25))))**(-2/61) assuming q is positive. q**(-285/671) Simplify t**(-2/7)/((t*t/t**(-18))/t)*(t**(-6/7))**(1/7) assuming t is positive. t**(-951/49) Simplify (((j*(j/(j*(j**(-3/5)*j)/j))/j)/j)/j*j/((j**(-5)/j)/j*j*j))**(2/45)/(((j*j/(j/j**(-1/3)))/j)/(j*j*j**(-5))*j**(-3)*j/j**(1/11)) assuming j is positive. j**(-919/2475) Simplify (a/(a/(a*a/(a**(-3/2)/a))))/((a**(-2/63)/a)/a)*(a/((a/a**(4/5))/a))**23 assuming a is positive. a**(30197/630) Simplify ((h/(h**1/h)*h)**(-3/2)*h**(-2/5)*h*h**(2/7))/((h*h**5*h*h**(-2/3))/(h**(-2/13)*(h/h**(-2/17))/h)) assuming h is positive. h**(-196867/23205) Simplify ((g/(g*(g*g*g**(3/11))/g))/g**(-2/3)*(g**(-1/4))**(-2/35))/((g/g**(-1/2))**33/(g/g**0*g)**(1/53)) assuming g is positive. g**(-3064058/61215) Simplify ((v**0/v*v)/((v**(-3/4)/v*v)/v))**(-2/113)/((v*(v**(1/2)/v)/v*v**(6/11)*v)/(v**(-1)/(v*v**(-8)))) assuming v is positive. v**(6120/1243) Simplify ((f**19*f/(f
{ "pile_set_name": "DM Mathematics" }
rime factors of 348122? 2, 174061 List the prime factors of 141283. 141283 What are the prime factors of 12346765? 5, 919, 2687 What are the prime factors of 964169? 887, 1087 What are the prime factors of 332669? 79, 4211 List the prime factors of 3386150. 2, 5, 67723 What are the prime factors of 31609395? 3, 5, 702431 What are the prime factors of 5539? 29, 191 List the prime factors of 8827655. 5, 661, 2671 What are the prime factors of 2020532? 2, 463, 1091 What are the prime factors of 11021886? 2, 3, 401, 509 What are the prime factors of 1438934? 2, 7, 14683 List the prime factors of 184780. 2, 5, 9239 List the prime factors of 1490687. 11, 29, 4673 What are the prime factors of 317346? 2, 3, 227, 233 What are the prime factors of 112642? 2, 17, 3313 What are the prime factors of 145022? 2, 59, 1229 List the prime factors of 1141997. 83, 13759 What are the prime factors of 61346? 2, 37, 829 List the prime factors of 475368. 2, 3, 29, 683 What are the prime factors of 306188? 2, 41, 1867 What are the prime factors of 230146? 2, 7, 17, 967 What are the prime factors of 428613? 3, 142871 List the prime factors of 185924. 2, 53, 877 List the prime factors of 1191231. 3, 107, 1237 List the prime factors of 8901305. 5, 7, 41, 6203 What are the prime factors of 10933518? 2, 3, 61, 29873 List the prime factors of 13805244. 2, 3, 23, 16673 What are the prime factors of 2439487? 2439487 List the prime factors of 28138789. 7, 574261 List the prime factors of 941808. 2, 3, 7, 2803 What are the prime factors of 1613595? 3, 5, 97, 1109 What are the prime factors of 458617? 89, 5153 What are the prime factors of 421919? 47, 191 List the prime factors of 1634769. 3, 191, 317 What are the prime factors of 381141? 3, 42349 What are the prime factors of 8201728? 2, 83, 193 What are the prime factors of 1608612? 2, 3, 37, 3623 List the prime factors of 19129226. 2, 9564613 What are the prime factors of 987? 3, 7, 47 What are the prime factors of 57994? 2, 107, 271 What are the prime factors of 9965353? 31, 103, 3121 What are the prime factors of 11321075? 5, 37, 12239 What are the prime factors of 348604? 2, 87151 List the prime factors of 10418161. 13, 17, 47, 59 What are the prime factors of 69176? 2, 8647 What are the prime factors of 1259443? 37, 34039 List the prime factors of 639666. 2, 3, 35537 List the prime factors of 1465685. 5, 13, 22549 What are the prime factors of 27067? 27067 List the prime factors of 302152. 2, 179, 211 List the prime factors of 16152800. 2, 5, 61, 331 What are the prime factors of 235414? 2, 31, 3797 What are the prime factors of 16653712? 2, 1040857 List the prime factors of 12805714. 2, 47, 59, 2309 List the prime factors of 10232631. 3, 23, 49433 List the prime factors of 223930. 2, 5, 7, 457 List the prime factors of 668307. 3, 367, 607 List the prime factors of 167239. 41, 4079 What are the prime factors of 4189858? 2, 2094929 What are the prime factors of 1102021? 1102021 List the prime factors of 12864501. 3, 13, 19, 643 List the prime factors of 66928. 2, 47, 89 List the prime factors of 12970713. 3, 7, 73, 8461 What are the prime factors of 2146311? 3, 79493 What are the prime factors of 222631? 127, 1753 List the prime factors of 599098. 2, 71, 4219 List the prime factors of 1324031. 383, 3457 List the prime factors of 222293. 222293 What are the prime factors of 397300? 2, 5, 29, 137 What are the prime factors of 3973761? 3, 11, 41, 89 What are the prime factors of 1561400? 2, 5, 37, 211 What are the prime factors of 1225827? 3, 83, 547 List the prime factors of 16002155. 5, 13, 246187 List the prime factors of 398734. 2, 7, 19, 1499 What are the prime factors of 25371958? 2, 2269, 5591 What are the prime factors of 9956361? 3, 19, 174673 What are the prime factors of 380413? 11, 34583 What are the prime factors of 126940? 2, 5, 11, 577 List the prime factors of 1571891. 1229, 1279 List the prime factors of 666092. 2, 7, 23789 List the prime factors of 20085381. 3, 17, 43759 What are the prime factors of 187413? 3, 179, 349 List the prime factors of 3463220. 2, 5, 43, 4027 List the prime factors of 12441401. 7, 71, 25033 What are the prime factors of 2822117? 79, 139, 257 List the prime factors of 782520. 2, 3, 5, 6521 List the prime factors of 11124738. 2, 3, 618041 List the prime factors of 26618. 2, 13309 List the prime factors of 806146. 2, 11, 36643 List the prime factors of 9964980. 2, 3, 5, 23, 29, 83 What are the prime factors of 2099416? 2, 11, 23857 List the prime factors of 62857. 239, 263 List the prime factors of 577023. 3, 192341 List the prime factors of 1430226. 2, 3, 7, 11351 List the prime factors of 163049. 103, 1583 List the prime factors of 682002. 2, 3, 37889 List the prime factors of 723469. 17, 42557 What are the prime factors of 87320? 2, 5, 37, 59 List the prime factors of 5990347. 11, 31, 1597 What are the prime factors of 733970? 2, 5, 19, 3863 List the prime factors of 468749. 19, 24671 What are the prime factors of 2120788? 2, 530197 List the prime factors of 142366. 2, 7, 10169 What are the prime factors of 3700? 2, 5, 37 List the prime factors of 33237926. 2, 829, 20047 List the prime factors of 7061957. 7, 1008851 What are the prime factors of 1253474? 2, 691, 907 List the prime factors of 35132474. 2, 13, 1351249 List the prime factors of 291738. 2, 3, 48623 What are the prime factors of 26475? 3, 5, 353 List the prime factors of 88035. 3, 5, 5869 List the prime factors of 2267782. 2, 11, 9371 List the prime factors of 2815570. 2, 5, 281557 What are the prime factors of 571363? 13, 43951 What are the prime factors of 4909929? 3, 79, 20717 What are the prime factors of 258139? 7, 36877 List the prime factors of 31063604. 2, 11, 13, 4937 List the prime factors of 1519998. 2, 3, 61, 4153 List the prime factors of 2668712. 2, 333589 List the prime factors of 2108110. 2, 5, 210811 What are the prime factors of 6170? 2, 5, 617 List the prime factors of 12566730. 2, 3, 5, 11, 113, 337 List the prime factors of 15450489. 3, 89, 19289 List the prime factors of 3448633. 19, 41, 233 List the prime factors of 430146. 2, 3, 23, 1039 What are the prime factors of 2340041? 11, 199, 1069 List the prime factors of 135623. 135623 What are the prime factors of 730500? 2, 3, 5, 487 What are the prime factors of 27241123? 7, 13, 17, 17609 List the prime factors of 1209341. 7, 31, 5573 List the prime factors of 9870680. 2, 5, 23, 10729 List the prime factors of 1038915. 3, 5, 23087 What are the prime factors of 1238478? 2, 3, 206413 List the prime factors of 1044710. 2, 5, 104471 What are the prime factors of 315157? 113, 2789 List the prime factors of 4405058. 2, 7, 59, 5333 List the prime factors of 190806. 2, 3, 7, 11, 59 List the prime factors of 968221. 19, 131, 389 What are the prime factors of 507722? 2, 17, 109, 137 List the prime factors of 4420331. 19, 83, 2803 List the prime factors of 277241. 37, 59, 127 What are the prime factors of 84527? 181, 467 What are the prime factors of 8891185? 5, 1097, 1621 List the prime factors of 1133147. 1133147 List the prime factors of 612238. 2, 11, 17, 1637 What are the prime factors of 3364849? 1579, 2131 List the prime factors of 2692352. 2, 13, 809 List the prime factors of 192932. 2, 139, 347 What are the prime factors of 832572? 2, 3, 13, 593 List the prime factors of 4159605. 3, 5, 43, 6449 What are the prime factors of 15707782? 2, 523, 15017 List the prime factors of 1999161. 3, 19, 433 List the prime factors of 1342854. 2, 3, 61, 1223 List the prime factors of 174124. 2, 101, 431 List the prime factors of 1643085. 3, 5, 4057 What are the prime factors of 646645? 5, 23, 5623 List the prime factors of 2020774. 2, 7, 144341 List the prime factors of 238399. 7, 34057 List the prime factors of 1633304. 2, 204163 List the prime factors of 152404. 2, 7, 5443 List the prime factors of 10641241. 13, 641, 1277 What are the prime factors of 373775? 5, 14951 What are the prime factors of 3011572? 2, 47, 83, 193 List the prime factors of 1334921. 7, 19, 10037 What are the prime factors of 4473669? 3, 17, 87719 List the prime factors of 1591819. 31, 51349 What are the prime factors of 168683? 37, 47, 97 List the prime factors of 194352. 2, 3, 4049 List
{ "pile_set_name": "DM Mathematics" }
= s. Is v composite? False Let d be ((-4)/(-6))/(2/12). Suppose 0 = 4*f + s - 2109, -f - d*s = 159 - 690. Is f a prime number? False Let b(d) = 457*d - 25. Let g be b(8). Suppose -4*y - 4*u = -3616, y - 5*y + u = -g. Suppose 5*l - y = 4*l. Is l a composite number? False Let v(i) = 4*i + 2. Let l be v(-2). Let n(j) = -1703*j + 265. Is n(l) prime? False Suppose 5*y = y + 4*o + 32, 3*o + 15 = 0. Suppose -242 = -u + y*a, 3*u - a - 765 = -5*a. Is u a prime number? True Suppose -4*z = 4*s - 201352, 5*s - 3*z - 232840 - 18874 = 0. Is s prime? True Suppose 156720 = 4*w + 3932. Is w composite? False Let g be -3 + (3 - (-280)/(-5)). Is 16/g + (-46)/(-14) + 2898 composite? True Suppose f + 54 = 4*g, 5*f + 213 = -0*f + g. Let s be 12/f + 204936/14. Suppose 4*x = -0*b + b + s, 0 = -x + 3*b + 3665. Is x a prime number? True Suppose 126 = 2*z - 116. Let j = 41 - z. Let f = j - -207. Is f prime? True Let l(g) = -374*g**3 - g**2 - 7*g + 23. Is l(-4) prime? True Suppose -c = -2*c + 5. Suppose -2*n - 1 = c*q, -5*q - 1 = 4. Suppose 76 = n*g - 26. Is g prime? False Suppose -39*l + 40*l + 364401 = 4*t, -2*l + 91107 = t. Is t prime? False Suppose 11850 = -4*u + 29374. Suppose -u = -13*h + 1105. Is h prime? False Let k(b) = -192*b + 125. Let u be k(16). Let l = u - -12293. Is l a composite number? True Let s = 607 + -671. Is s/96*80358/(-4) a composite number? True Let c be 3 - (-2 - -6 - 3). Suppose 462 = 4*b + 46. Is 1948/b*18 + c/(-13) prime? True Let x = -6634 - -13233. Is x a composite number? False Is (1968907 + 1)*(-245)/(-280)*2/7 prime? True Suppose 289*y - 242*y - 599485 = 0. Is y prime? False Suppose 0 = -3*t + 21 - 12. Suppose 0 = -2*u - t*k + 4975, -75*k + 71*k + 12 = 0. Is u a prime number? False Let q(d) = 11*d**3 - 5*d**2 - 19*d + 32. Suppose 4*t = 5*p + 54, -2*t - t - 5*p = -23. Is q(t) prime? True Let h(p) = -p**3 + 2*p**2 - 18*p + 5. Let r be 0 + -1 + 5 + -6. Let a(l) = 5*l**3 - 9*l**2 + 73*l - 19. Let c(j) = r*a(j) - 9*h(j). Is c(-6) a composite number? False Let q(y) = -58*y + 2227. Let s be q(37). Suppose -5*g = -n + 625, 5*n + 2*g = g + 3255. Let c = n + s. Is c a prime number? False Let r be (11 - 57/12) + 2/(-8). Suppose r*o - 9*o + 701 = l, -l + 934 = 4*o. Is o prime? True Let r be 13868 + (3 - 1) - (-4 - -8). Let u = 21119 - r. Is u composite? False Suppose -3*r - 3*q = -543111, -5*r + 12215 + 892974 = 3*q. Is r a prime number? True Suppose -97 = -f + 2*o, f + 4*f - 4*o - 479 = 0. Suppose -4*m - f = 3*v, m + 2*v = 3 - 28. Let c(k) = k**2 + 4*k + 34. Is c(m) composite? True Suppose -7 = -3*o + 8. Suppose -o*c - 577 = -1462. Is c composite? True Suppose -3*o = -8*o - o. Suppose -4*c + 11*c - 14 = o. Suppose -4*y + 48 = 6*d - c*d, -4*y + 54 = d. Is y a composite number? True Let c(a) = a**2 + 5*a + 5. Let p be c(-7). Let g = p + -10. Is (g/(-3) + 1 - -1)*-83 a composite number? False Let h be (-1444)/3*(-27)/(-18). Let r = 485 + h. Let j = 156 - r. Is j a composite number? True Is ((-288)/528)/((-12)/46872474) composite? True Is (-12 - (3 - 10) - 97559)/(-4) a composite number? False Suppose 0*m + 4*m = 5372. Suppose 7*r + 85 + m = 0. Let v = -109 - r. Is v a prime number? False Let q = 486936 + -270787. Is q a prime number? True Suppose -10*f = -3*f - 52836. Let a = f + -5191. Is a composite? False Let h(c) = -649*c**3 - 2*c**2 + 28*c + 87. Is h(-4) a prime number? True Let y(r) = r**3 + 3*r**2 - r - 1. Let l be y(-1). Is l*3438/(-12)*2/(-6) a composite number? False Suppose 0 = 6*t - 151942 - 633080. Is t a composite number? True Let d = -306 + 1118. Suppose d = x - 5195. Is x a composite number? False Suppose 31*a = 27*a + 412. Let o = a - 113. Is (2676 - 16)*o/(-8) - -2 a composite number? True Let i = -2 + 2. Is (505/15 - i)*213 a composite number? True Let h be -4 + 5 + -12 + 14. Suppose -r + 5*l + 653 = -3445, -h*r = -5*l - 12244. Is r a prime number? True Let g(k) = 41579*k + 616. Is g(17) a composite number? False Suppose 14810594 = 28*a + 57*a - 3*a. Is a composite? False Let v(r) = 283*r + 20. Let h(g) = 281*g + 18. Let z(u) = -3*h(u) + 2*v(u). Is z(-1) a prime number? True Suppose y + 3*b = 6, -5*b = -2*y - 9*b + 22. Suppose -y*n = -22*n + 153. Let k = n + -30. Is k a composite number? True Let j(c) = 770*c**2 + 73*c + 58. Is j(-7) a prime number? True Suppose -4*o - 12804 = -4*r, -r + 73*o - 74*o = -3193. Is r a composite number? True Let v(b) be the third derivative of 31*b**6/60 + 2*b**5/15 + 11*b**4/24 + b**3 + 3*b**2 - 5. Let k be v(-5). Is ((-5)/(-15))/((-1)/k) a prime number? False Suppose -d + 5*d - 330150 + 14266 = 0. Is d composite? True Suppose 14*x - 3609 - 2355 = 0. Let t be (-1)/(-1*3/6927). Let j = t - x. Is j a composite number? True Let x = -9818 - -24297. Let c = x + -8334. Is c a composite number? True Let k(f) = 235*f**2 + 242*f + 142. Is k(-33) a composite number? False Let p = 458 - 452. Let x(w) = 131*w**3 - 2*w**2 - w - 23. Is x(p) prime? False Let w(n) = -n**2 - 24*n - 85. Let f be w(-19). Suppose -1955 = f*d - 27*d. Is d prime? False Let r(u) = -1557*u**3 + 16*u**2 + 132*u + 47. Is r(-6) composite? False Suppose 0 = -5*i + 4*z - 5*z - 220, 0 = 2*z - 10. Suppose 618 = 2*q + 5*p - 10*p, -4*q + 4*p = -1224. Let b = q + i. Is b a prime number? False Let a(p) = -6*p + 26. Let i be a(-3). Let q = 40 - i. Is 10/(-24)*q*1437 a composite number? True Let s = 208489 + 40630. Is s a composite number? True Let g(f) = f - 9. Let o be g(10). Let x(m) = 17*m + 1. Let y be x(o). Suppose y = 3*w + 3, -a - w = -786. Is a a prime number? False Let x = -91463 + 318204. Is x composite? False Let k(z) = 24*z**3 - 70*z**2 + 3*z + 3. Suppose 2*q = -4*j + 44, 25*j - 23*j + 5*q - 30 = 0. Is k(j) prime? True Let r = -582729 - -1149058. Is r a composite number? True Let u = 575 + -5395. Let z = 13533 - u. Is z composite? False Let d = 60 - 58. Suppose 0 = -d*q - 0*q + v, -3*v = -2*q - 4. Is 1151/(q/5 - 20/(-25)) prime? True Let u(i) = 1311*i - 23. Let a(y) = -y**2 + 4*y + 14. Let o be a(6). Is u(o) prime? False Let a be (0 - -1*1)/((-6)/(-18)). Suppose -3*w + 584 = 2*w - a*k, -2*w = 5*k - 246. Suppose -x = -0*x - w. Is x composite? True Let m = -217 - -3375. Let r = -2373 + 3777. Let f = m - r. Is f prime? False Suppose -2*t - 62 = 4*g, -2*t + 53 = -3*g + 3*t. Let n be 16/(-6)*(420/g - -6). Suppose -39 = -3*x + n. Is x a composite number? False Suppose -2*p - 45 = -5*z, 9*z = 4*z + p + 45. Suppose -z*m = -5*m + 6420. Is (-12)/(-18)*m/(-2) a prime number? False Let o(b) = 103*b**2 - 59*b + 113. Let r be o(2). Let s(q) = -34*q**3 + 4*q**2 + q - 3. Let v be s(-3). Let h = v - r. Is h composite? False Suppose 569831 = 7*b - 4*s, 0 = 7*s - 12*s - 30. Is b a composite number? False Let c = -163488 + 280127. Is c prime? True Let d be (-72)/(-6)*(-344)/32. Let m = 460 + d. Is m prime? True Let r = -232 - -429. Suppose -r = -2*d - 3*b, -3*b - b - 444 = -4*d. Is d a composite number? True Suppose -5*d - 976 = 744. Let u(f) = -f**3 - 11*f**2 + 19*f - 8. Let t be u(-11). Let b = t - d. Is b a composite number? False Let r be (-170)/34 + (-2)/((-4)/10). Suppose -2*a + z + 8776 = a, -4*a - 4*z + 11728 = r. Is a prime? True Let l = 203726 - -49775. Is l composite? False Let t = 41 + -10. Let h = t + 15. Is 1 + h + 3 + 1 a composite number? True Let i be -2 - -2 - -10431 - 135/(-45). Is i/34 + -1*20/(-170) a prime number? True Suppose 5*p - 2*r - 24 = 0, 0*p - 8 = -3*p - 2*r. Suppose 0*x + 2*x = 4*g + 10, -3*x + p*g + 11 = 0. Is (x - -2)*890/6 - 0 a composite number? True Let k(y) = -4611*y - 39. Let c be k(3). Let n = -9691 - c. Is n a prime number? False Let q(w) = -w**2 - 8*w + 18. Let m be q(-12). Let y(h) = h**3 + 39*h**2 + 50*h + 37. Is y(m) a prime number? True Let u be -3 + (-203908 + -2)/(-6). Suppose 6*j = -7*j + u. Is j a prime number? False Suppose -5*l + 4*x + 216115 = 0, 0 = -2*l + 6*x - 8*x + 86446. Is l prime? True Suppose 20 = -23*c + 66. Suppose 2*t + l = -c*t + 11641, -5*t - 3*l + 14560 = 0. Is t a composite number? False Suppose 11*x - 12*x = -4. Is x/(24/16118)*3 composite? False Let l = -4757 - -20872. Suppose 2*z + 2*j - l = -4183, 0 = -z + j + 5976. Is z a prime number? False Is (-8041264)/(-11) + -14 + -17 a prime number? True Let o(h) = -h**3 + 5*h**2 + 3*h - 16. Let b be o(4). Suppose 0 = -17*t + b*t. Suppose 0 = -k +
{ "pile_set_name": "DM Mathematics" }
27. Suppose -y*j + 2*j = -66. What is the units digit of j? 3 Let z(b) = -2*b**2 - 30*b - 5. Let n be z(-14). Let m = 74 - n. What is the units digit of m? 1 Suppose 9*l - 10*l = -16. Suppose 5*c - l = -2*y, 0 = -y - 2. Suppose 4*n - 757 = -5*t, c*n - 163 - 288 = -3*t. What is the hundreds digit of t? 1 Let d(f) be the third derivative of 163*f**4/24 + 14*f**3/3 - 17*f**2 + f. What is the units digit of d(5)? 3 Suppose -k - 2*k = -246. Let r = k - 48. Let u = 97 + r. What is the units digit of u? 1 Let o be -6*2/(-8)*80/15. Suppose -10 = -d - o. Suppose -d*j + 0*t + 260 = -t, -4*t = -16. What is the tens digit of j? 3 Suppose 35*i - 30*i - 36445 = -5*d, -5*i - 36465 = -5*d. What is the hundreds digit of d? 2 Let i = -22 - -93. Let u = 90 + -137. Let r = i + u. What is the tens digit of r? 2 Let k be 5/10 - (-1)/2. Let y be (k - (-4)/(-6))*0. Suppose 2*d + 172 = 2*s, -s - 4*d + 48 + 48 = y. What is the tens digit of s? 8 Suppose 4*u + 9 = q, -10*u + 3 = -8*u + q. What is the units digit of (113/u)/(3/(-3))? 3 Suppose -c + 22 = 3*y, -2*y + c + 33 = -2*c. Suppose 3*k + y = 6. What is the units digit of (99/(-18))/(k/22)? 1 Let x be 26 - 34 - 329/(-1). Let p = 58 - -96. Let c = x - p. What is the units digit of c? 7 Suppose -4*p = 3*k - 318, 5*k = 2*p + 3*p - 415. Suppose -m = -4*m + 369. Let j = m - p. What is the units digit of j? 2 What is the thousands digit of ((-5 + (3 - -1))/1)/(1/(-3092))? 3 Suppose -711 = m - 3*f + 153, -4*m = 3*f + 3501. Let p = -148 - m. What is the tens digit of p? 2 Suppose -306090 - 1088344 = -255*m + 252101. What is the units digit of m? 7 Suppose 2*f - 27 = -5*c + 57, 3*f - 5*c = 76. Let p(a) = a**2 - 24*a - 68. What is the tens digit of p(f)? 8 Suppose 58*i - 1175251 - 1175431 = 0. What is the hundreds digit of i? 5 Let o be ((-1495)/(-46))/(1/(-2)). Let g = o - -66. What is the tens digit of (4 + g)*576/15? 9 Let x be (-6)/24 + 465/4. Let h = 438 - x. Suppose 3*m - v - h = 0, 0*v = -2*m - 4*v + 196. What is the hundreds digit of m? 1 Suppose -13*u - 4103 = -2*u. Let q be (u/(-2) - -1)/(2/8). Suppose -2*i + 312 = 2*j, 0 = -5*j + 2*i + 3*i + q. What is the units digit of j? 3 What is the ten thousands digit of 243/12*-90*220/(-33)? 1 Let s(d) = -2187*d + 1093. What is the hundreds digit of s(-37)? 0 Suppose -29*n + 101710 = -2*n + 17551. What is the tens digit of n? 1 Let y be 99/(-33) + (0 - 1*-7). Suppose -5083 = -5*m + 2*h, -y*m + 21*h = 25*h - 4044. What is the units digit of m? 5 Let s(d) = -d**2 + 9*d + 25. Let u be s(11). Suppose 2*h - 2*a - 99 = -u*a, 33 = h - 5*a. What is the units digit of h? 8 Let b(r) = 21*r**2 - 33*r + 30. What is the units digit of b(12)? 8 Let d(n) = 98*n**2 - 822*n + 7. What is the hundreds digit of d(-10)? 0 Let f(a) = 284*a + 427. What is the units digit of f(31)? 1 Suppose 0 = -4*n + 1 - 5. Let y(q) = -q**3 - 4*q - 5. Let r be y(n). Suppose -u - 5*t + 21 = r, -3*t + 2*t - 189 = -4*u. What is the units digit of u? 6 Let x(m) = 11*m - 2487. Let u be x(0). Let a = -1526 - u. What is the units digit of a? 1 Suppose -7 = -4*d + 1. Suppose d*o = -4*y + 16, 3*y + 4 = 2*o + 9. Suppose -v + 127 = -2*z, o*z = 2*v - 269 + 5. What is the hundreds digit of v? 1 Let j(f) = 37177*f - 74360*f - 11 + 37177*f - 5*f**2 + 2*f**3. Suppose -2*d = -3*q + 2*d + 22, d + 13 = 2*q. What is the hundreds digit of j(q)? 2 Let j(a) = -5*a**3 - 3*a**2 - 2*a + 1. Let c be j(-2). Let g = -39 + c. What is the units digit of (-366)/g*(3 - (-2)/(-1))? 1 Let m(p) = p**3 + 15*p**2 - 8*p - 35. Let s be m(-5). Let u = s - 248. What is the units digit of u? 7 Suppose -655*s + 35100 = -650*s. What is the hundreds digit of s? 0 Let b(i) = 3*i**2 + 103*i - 226. What is the thousands digit of b(-51)? 2 Suppose 2*h + 4*z = 516, -h - z = -119 - 142. Suppose 370 = -259*g + h*g. What is the tens digit of g? 7 Let n = -117 - -43. Let k = -292 - -399. Let r = n + k. What is the units digit of r? 3 Let x(y) be the third derivative of y**6/10 - y**5/20 + y**4/6 - 5*y**3/6 + 10*y**2 - 3. What is the tens digit of x(3)? 0 Suppose 42*t - 33*t - 2619 = 0. What is the hundreds digit of t? 2 Let u(s) = -6*s**2 + 192*s + 2. Let f be u(32). What is the units digit of 8 + (-4 - f - -812)? 4 Let f(s) = 8*s - 6. Let b(p) = 2*p - 5. Let w(y) = -2*b(y) + f(y). Let r(j) = -j + 2. Let l be r(0). What is the tens digit of w(l)? 1 Let i be ((-7678)/(-55))/((-2)/(-5)). Let l = i + 392. What is the hundreds digit of l? 7 Let h = 7853 + 18384. What is the ten thousands digit of h? 2 Let b(i) = i**3 + i + 56. Let t be b(0). Let h = -48 + t. What is the units digit of 0 + 554/h + 105/140? 0 Let i = 19 + -14. Suppose -f + 244 = -i*f. Let c = 73 + f. What is the units digit of c? 2 Suppose -28*v + 49 = -21*v. Suppose v*j - 202 = 946. What is the units digit of j? 4 Let q(y) = -y**3 + 2. Suppose -10 = 3*n + l, 2*n - 6*n + 5*l + 12 = 0. Let r be q(n). Suppose r*m = 15*m - 135. What is the units digit of m? 7 Suppose -20*x + 15*x - 40 = 0. Let w(k) = -14*k - 47. What is the tens digit of w(x)? 6 Let o = -3852 + 723. What is the hundreds digit of 0 + o/(-7) + -7? 4 Let k(m) = -2*m - 16. Let x be k(23). Suppose -214 = -3*q + 5*q. Let t = x - q. What is the units digit of t? 5 Let m(r) = -r**3 - 19*r**2 + 13*r - 23. Let c(o) = -98*o**2 + 1 + 97*o**2 + 28. Let s be c(-7). What is the units digit of m(s)? 7 Let z(g) be the second derivative of g**4/12 - 5*g**3/6 + 15*g**2/2 + 63*g. Let o(t) = 3*t - 6. Let m be o(5). What is the units digit of z(m)? 1 Suppose t - 1763 = 5*d, -4*t + 5*d + 9090 - 2053 = 0. What is the tens digit of t? 5 Let n(b) = 2149*b + 523. What is the ten thousands digit of n(23)? 4 Suppose 3*i = -4*b - 154, -4*i + 0*b - 3*b = 217. Let w be (-2 - -3*1)*(i + -10). What is the units digit of w/(-4)*-1*-5? 5 Suppose 5*i - 115755 = -5*o, 0 = i + 2*o - 3404 - 19748. What is the hundreds digit of i? 1 Let n be (-10)/(-35) - 300/(-28). Suppose n*h - 2*w = 8*h + 276, 3*h - 5*w = 276. What is the tens digit of h? 9 Suppose 4*m = 2*m - 8. Let n(a) = -11*a**3 - 5*a**2 + 2*a + 5. Let f be n(m). Suppose 5*d = s - 3*s + f, -4*d = 2*s - 496. What is the hundreds digit of d? 1 Let q(s) = 102*s**3 - 11*s**2 - 11*s + 15. What is the units digit of q(2)? 5 Let n(l) = 7*l**2 - 16*l - 255. What is the thousands digit of n(-30)? 6 Suppose -3*o + 11 - 5 = 0. Suppose 5*s = r + 26 + 20, -r + 44 = 5*s. Let x = s + o. What is the units digit of x? 1 Let h = 526 - 520. Suppose -h*u + 1100 = -3502. What is the hundreds digit of u? 7 Suppose 163823 = 19*g - 323014. What is the ten thousands digit of g? 2 Let m be (3/(-3))/(2/6). Let s be m/(-24) - ((-1795)/(-8))/(-5). Suppose 40*b - s*b + 1075 = 0. What is the units digit of b? 5 Let y(p) = 12*p**2 - 8*p - 7. Let k be y(-1). Suppose 15*b = k*b + 3*u + 79, 3*b = u + 115. What is the units digit of b? 8 Suppose g - 3*t - 471 = -8*t, 0 = -2*g - 2*t + 918. Suppose 68*l - g = 66*l. What is the units digit of l? 8 Suppose 2*l = 5*g - 178 - 37, 3*g - 150 = -3*l. Suppose -22*b - 2898 = -g*b. What is the hundreds digit of b? 1 Let z(y) = 11*y**3 + 18*y**2 - 53*y + 441. What is the hundreds digit of z(13)? 9 Suppose 5*b = -3*v + 1219, 2*v - 11*b - 776 = -7*b. What is the units digit of v? 8 Let v(h) = 3*h**3 - 46*h**2 + 3*h - 66. What is the units digit of v(19)? 2 Let s(f) = -f**3 + 3*f**2 - 19*f + 7. Let d be 60/(-15) - (6 + -1). Let r be s(d). Suppose -3*b = -8*b + r. What is the tens digit of b? 3 Let j = -2531 + 6205. Let t = -1947 + j. What is the thousands digit of t? 1 Suppose 0 = 11*f + f - 1044. What is the tens digit of -2*1 + -1 + 6699/f? 7 Let k be 1500 + -5 + (-2)/2. What is the hundreds digit of ((-4)/3)/((-3)/k)? 6 Let s(u) = -57*u - 7 - 10 - 13. Let p be s(-3). Suppose 13*i - 12*i = p. What is the hundreds digit of i? 1 Suppose -147*g = -151*g + 6096. Suppose 6*k = 2610 + g. What is the tens digit of k? 8 Let z be (-43)/(-15) + (-18)/(-135) - 63. What is the tens digit of 5*(-1 - (z - -7))? 6 Suppose 2 = -0*m - m - i, -5*i = -3*m - 6. Let u be 339 + ((-4)/m - -2). Suppose 4*z = -3*z + u. What is the tens digit of z? 4 Let b(j) be the third derivative of -j**4/4 + 7*j**3/3 + 5*j**2. Let a be b(3). What is the units digit of a/(-10) - 686/(-35)? 0 Let x = 694 + -352. Let q = x - 198. Suppose 0*v = 3*v - 3*h - q, 5*
{ "pile_set_name": "DM Mathematics" }
3))*-6? 9 Let q = -32 + 7. Let p = 36 + q. What is the tens digit of p? 1 Let x = 4 + -4. Let m be x + (6 + 1 - -2). What is the units digit of 0 + -3*(-6)/m? 2 Suppose -153 = -3*x + 5*a + 251, a = 2. What is the units digit of x? 8 Let o(u) = -12*u + 1. What is the units digit of o(-3)? 7 Let r(a) = -a + 2. Suppose -2*b + 57 = -5*b - 4*v, 4*b + 4*v + 72 = 0. What is the tens digit of r(b)? 1 Let g = -4 + 8. Suppose o + g*o = -50. Let w(s) = -s**2 - 10*s + 6. What is the units digit of w(o)? 6 Suppose 2*b = t + 15, 4*b + 0*t + 4*t = 48. Suppose b = 2*l - 13. What is the tens digit of l? 1 Suppose -164 = -7*i + 3*i. What is the tens digit of i? 4 Let m(j) = -2*j - 4. Let w be m(-3). Suppose -t + 6*t + 5*o - 150 = 0, 3*o = w*t - 50. What is the units digit of t? 8 Let k(l) = l**3 - 3*l**2 - 3*l - 2. Suppose 2*a + 0 = 8. Let t be k(a). Let i(v) = v**3 + 2*v**2 - 2*v - 2. What is the tens digit of i(t)? 1 Let g(h) = -h**3 + 8*h**2 + 11*h - 9. Suppose 0 = t - 9. What is the units digit of g(t)? 9 Suppose 2*v - 139 = -3. What is the units digit of v? 8 Let o(i) = 32*i - 3. What is the units digit of o(2)? 1 Let n(y) = y**3 + 3*y**2 - 7*y + 6. What is the tens digit of n(4)? 9 Suppose -5*p = -3*p - 6. Let u = 2 + p. Suppose 50 = -0*a + u*a. What is the units digit of a? 0 Suppose -1302 = 8*r - 22*r. What is the tens digit of r? 9 Let g(h) = 19*h**3 - h**2 - 7*h + 1. Let t(b) = -19*b**3 + b**2 + 6*b - 1. Let a(z) = -6*g(z) - 7*t(z). What is the units digit of a(1)? 9 Suppose 0 = 3*f - 2 + 38. Let x = f - -24. What is the tens digit of x? 1 Let z(x) = -2*x**3 - 2*x**2 + 6*x - 13. Let m(v) = v**3 + v**2 - 3*v + 6. Let h(q) = -9*m(q) - 4*z(q). What is the units digit of h(-3)? 7 Let i(d) be the first derivative of d**2/2 + 12*d - 3. What is the units digit of i(-11)? 1 Suppose -u + 122 - 3 = 0. What is the hundreds digit of u? 1 Let b be -3 + (-2)/6*-3. Let w(m) = -11*m - 2. Let q be w(b). Suppose -5*c + q = 2*s + 3*s, -5*c + 29 = 2*s. What is the units digit of c? 7 Let w = -47 - -72. What is the units digit of w? 5 Suppose 0 = -2*y + 5*y. Suppose -5*z = -3*l - 131, y = -3*z + 4*l - 17 + 89. Suppose 3*r - 2*u = z, 37 - 93 = -3*r - 5*u. What is the units digit of r? 2 Let r(q) be the third derivative of -q**5/60 + 5*q**4/12 + q**3/2 + 4*q**2. What is the units digit of r(8)? 9 Let t(a) = -2 - 4*a - 1 + 3. What is the units digit of t(-1)? 4 Suppose p = 3*p - 20. Suppose 4*y - b - 21 - 165 = 0, 0 = 5*b + p. What is the tens digit of y? 4 Let g(v) = v**2 + v + 2. Let b be g(-3). Let x be (-12)/b*8/(-3). Suppose -x = -2*o - q + 3, 2*q - 9 = o. What is the units digit of o? 1 Let w = 0 + 4. Let o = 6 + w. What is the units digit of o? 0 Let f(g) = 2*g. Let p = -3 - -3. Suppose -4*r + 14 + 6 = p. What is the units digit of f(r)? 0 Suppose -5*l + 42 = -2*g, l - 2*g - 2*g = -6. Suppose 5*y + 2*n = -n + 90, 2*n = -l. What is the tens digit of y? 2 Let u be 16/6 + (-4)/(-12). Suppose 100 = -0*x + 5*x + 5*o, -5*o = -u*x + 100. What is the units digit of x? 5 Let v = -4 + 21. Let f = -9 + v. Suppose -3*t + 25 = -f. What is the units digit of t? 1 Suppose 5*u - 6 = -3*i, -3*u + i - 2*i + 6 = 0. Suppose b - 21 = -2*m, 2*m - 52 = -3*m - 3*b. Let q = m - u. What is the units digit of q? 8 Let t = 6 - -9. Suppose -t = -5*o - 0. Suppose 0*y = -o*n - y + 8, -n - 5*y + 26 = 0. What is the units digit of n? 1 Suppose -3*t + 4*w + 29 = 0, -3*w - 2*w = -4*t + 37. Let g be (-1)/((-1)/(-2)) + 2. Suppose g = f + t - 6. What is the units digit of f? 3 Let b = 33 - 68. Let h = -9 - b. What is the tens digit of h? 2 Let z = -21 + 27. What is the units digit of z? 6 Let i = 1237 + -879. What is the tens digit of i? 5 Let k = -6 - -26. Let h = k + -3. What is the units digit of h? 7 Let t(o) = -o - 5. Suppose 2*j = -h - 29, 1 = 2*j - 3*h + 10. What is the units digit of t(j)? 7 Suppose 3*h - 2*m - 426 = 0, 0 = -7*h + 3*h + 2*m + 568. What is the tens digit of h? 4 Let t = 28 + -16. What is the tens digit of t? 1 Suppose 0 = g - c - 256, -7*c = -2*c - 10. What is the units digit of g? 8 Suppose -2*o + 3 = -19. Let r = 15 - o. What is the units digit of r? 4 Let a(m) = -m**2 - 8*m + 2. Let i be a(-6). What is the units digit of ((-3)/(-1) - 2)*i? 4 Suppose 0 = 4*g - 7 - 101. What is the tens digit of g? 2 Suppose -26 = -3*b - h, -2*b - 2 = -4*h + 4. Let w(p) = 2*p**3 - p**2 - 3*p**3 + b*p + 6*p**2. What is the units digit of w(6)? 6 Suppose 44 - 148 = -4*f. What is the tens digit of f? 2 Let j(w) = 6*w**2 - 6*w - 4. Let b be j(-5). Suppose 0 = -5*m - 1 + b. What is the tens digit of m? 3 Let u(p) = -p**3 - 5*p**2 + 3*p - 1. Let g be u(-6). Let y = 6 + g. What is the tens digit of y? 2 Let u(w) = -17*w - 5. Let n be u(-6). Let c = 157 - n. What is the units digit of c? 0 Let s = 7 - 13. Let k be ((-2)/s)/(1/3). Let f = k + 0. What is the units digit of f? 1 Suppose 2*p = 4*p - 30. Suppose 21 + p = 4*r + 2*f, 2*r - 5*f - 18 = 0. What is the units digit of r? 9 Let i(j) = j**2 - 3*j - j**3 + 2*j - 5*j**2 - 2. What is the units digit of i(-4)? 2 Let s be 3 - 12/4 - -32. Suppose 0*z - s = -2*z. What is the units digit of z? 6 Let c(k) = 16*k**2 - 2*k - 1. Let i = 8 + -9. What is the units digit of c(i)? 7 Let y(p) = 3 - 11 + 0 + 7 + 15*p. What is the tens digit of y(1)? 1 Let w(a) = 3*a - 8. Let p be w(3). Suppose 0 = 3*j - 2*j. What is the units digit of p*(1 + j)*5? 5 Let f = 130 + 14. Suppose -w - 4*u + 23 = 0, -5*u + 1 = 5*w - f. What is the units digit of w? 1 Suppose 5*m = 4*m - 1. Let h be 1 + m + (0 - 0). Suppose 3*y - y - 4 = h. What is the units digit of y? 2 Suppose 5*j + 110 = 3*p - p, p - 5*j = 50. What is the tens digit of p? 6 Let t be 64/3 - 2/6. Let b = 31 - t. Suppose b = 2*g + p - 3*p, -15 = -3*g - 4*p. What is the units digit of g? 5 Let p = 0 - 1. What is the tens digit of -23*1*(0 + p)? 2 Let x(a) = 16*a - 12. What is the units digit of x(6)? 4 Let w be 1*4*(-4 - -3). Let z = 9 + w. What is the units digit of z? 5 Let d = -4 + 8. Let p(m) = 8*m - m**2 - m - 6 + 0*m**2. What is the units digit of p(d)? 6 Let d(c) = c**2 - 6*c - 8. Let t = -1 - -5. Let f be t/2 + 2*3. What is the units digit of d(f)? 8 Let s(i) = 2*i**2 + 10*i - 4. What is the units digit of s(-9)? 8 Let y = 1 - 4. Let k = y - -7. What is the units digit of k? 4 Suppose -2*j + 299 = -65. What is the tens digit of j? 8 What is the hundreds digit of (-8)/(-20) - 743/(-5)? 1 Let w = -79 + 143. What is the units digit of w? 4 Let s be -12*(3 - 20/6). Suppose -5*o = -o + 12, -2*o = 3*x - 9. Let r = x - s. What is the units digit of r? 1 Let r be 32/(-6) + 4/(-6). Let t(i) = i**2 + 7*i + 3. Let d be t(r). What is the units digit of ((-14)/(-6))/((-1)/d)? 7 What is the units digit of 4*(-4)/((-16)/6)? 6 Let q be (-2)/(-2) + 4/(-4). Let t be 0 + q*(3 - 2). Suppose -w - 1 + 3 = t. What is the units digit of w? 2 Let h(j) be the second derivative of j**3/6 + 2*j**2 - j. Suppose 0 = -5*a - 2*i, -a - 5*i = 2*a. What is the units digit of h(a)? 4 Let k(u) = u**3 - u**2 + 10. What is the hundreds digit of k(5)? 1 Suppose -12*p - 312 = -16*p. What is the units digit of p? 8 Suppose 5*k + 4*z - 48 = 3*k, -z - 153 = -5*k. What is the units digit of k? 0 Let b be -4 + 8 - 0 - -5. Let s = -6 - -2. Let w = b - s. What is the units digit of w? 3 Suppose 3*l + 3*a = 3, -5*a - 2 = 3*l - 3*a. Let c(w) = 2*w**2 + 7*w + 6. What is the units digit of c(l)? 0 What is the tens digit of ((-2)/(-4))/((-13)/(-5356))? 0 Let f(o) = o**3 + 7*o**2 - 7*o - 1. Let k be f(-8). Let h(p) be the second derivative of -p**5/20 - 3*p**4/4 + p**2 + 2*p. What is the units digit of h(k)? 2 Suppose 0 = -5*g + 3*o + 4, -4*o + 5 = -2*g + 1. Suppose g*i - 44 + 16 = 0. Suppose -2*v - i = -4*v. What is the units digit of v? 7 Let t be 1*12*(-3)/(-9). Suppose -t*g + 2*a - 12 + 54 = 0, 5*a - 64 = -3*g. What is the units digit of g? 3 Let r = 28 + -12. Let w be (r/(-20))/(2/(-5)). Suppose 1 = -w*s + 3. What is the units digit of s? 1 Suppose 5*r + 2 = -4*c, 4*c - 2*r - 8 = 2*c. Let v = c - -11. What is the tens digit of v? 1 Let z(g) = -g**2 + 15*g - 11. Let a be z(14). Suppose u = a*u - 26. What is the tens digit of u? 1 Suppose -2*a + 21 = -5*a. Let s = -4 - a. What is the units digit of s? 3 Let y = 1 + 1. Suppose -2*v + 2 + 8 = 3*u, u + 10 = 2*v. Supp
{ "pile_set_name": "DM Mathematics" }
grams are there in six fifths of a gram? 1200 How many millilitres are there in 3/40 of a litre? 75 Convert 522289.6km to micrometers. 522289600000000 Convert 32588.9l to millilitres. 32588900 What is 31/5 of a century in years? 620 How many months are there in 31/2 of a century? 18600 How many meters are there in seven quarters of a kilometer? 1750 What is 94643.66 meters in millimeters? 94643660 How many microseconds are there in 81835.37 nanoseconds? 81.83537 What is five quarters of a decade in months? 150 How many centuries are there in 61847.15 millennia? 618471.5 What is one fifth of a millennium in decades? 20 How many nanoseconds are there in fourty-eight fifths of a microsecond? 9600 Convert 27.195822us to minutes. 0.0000004532637 Convert 7.30705 micrometers to centimeters. 0.000730705 How many millilitres are there in 8.295121l? 8295.121 How many millimeters are there in thirty-seven fifths of a centimeter? 74 What is 5/8 of a millimeter in micrometers? 625 Convert 74220640.2ns to weeks. 0.0000001227193125 What is 496.4766 meters in nanometers? 496476600000 What is 1526.78nm in meters? 0.00000152678 What is 1945.7838 months in millennia? 0.16214865 What is 3/16 of a kilometer in centimeters? 18750 Convert 11.10411ms to minutes. 0.0001850685 Convert 20918.424 months to years. 1743.202 What is one sixth of a century in months? 200 How many centuries are there in 953196.9 years? 9531.969 What is 6.283448 years in millennia? 0.006283448 How many grams are there in five eighths of a kilogram? 625 How many months are there in thirty-one fifths of a decade? 744 How many milligrams are there in 0.1722107 micrograms? 0.0001722107 How many millilitres are there in 1/5 of a litre? 200 Convert 4446.003l to millilitres. 4446003 What is 4.396896 hours in minutes? 263.81376 What is 966.8798 kilometers in nanometers? 966879800000000 How many decades are there in 115219.59 months? 960.16325 What is 39716.691 days in weeks? 5673.813 How many minutes are there in twenty-six sevenths of a week? 37440 What is 21/5 of a litre in millilitres? 4200 How many tonnes are there in 279097.8 micrograms? 0.0000002790978 Convert 70928.63 millilitres to litres. 70.92863 How many millilitres are there in 868.546 litres? 868546 Convert 3481.35kg to nanograms. 3481350000000000 How many kilometers are there in 2.999567 micrometers? 0.000000002999567 What is 6/5 of a hour in seconds? 4320 How many months are there in 0.6342427 centuries? 761.09124 Convert 234056.6 weeks to nanoseconds. 141557431680000000000 Convert 8153.633um to kilometers. 0.000008153633 How many millimeters are there in one quarter of a meter? 250 Convert 87.55216 milligrams to tonnes. 0.00000008755216 What is 17/2 of a decade in years? 85 What is 42/5 of a litre in millilitres? 8400 Convert 0.3573119 weeks to microseconds. 216102237120 How many minutes are there in sixteen fifteenths of a week? 10752 Convert 0.8314427 tonnes to nanograms. 831442700000000 How many milliseconds are there in 4/15 of a minute? 16000 Convert 69.3071 minutes to microseconds. 4158426000 Convert 2660.58um to millimeters. 2.66058 How many centuries are there in 0.085783 millennia? 0.85783 How many grams are there in 0.1611333 nanograms? 0.0000000001611333 What is one quarter of a litre in millilitres? 250 How many micrograms are there in 7.783308 milligrams? 7783.308 What is thirty-one halves of a tonne in kilograms? 15500 What is 25/4 of a millennium in decades? 625 Convert 15002.03ug to tonnes. 0.00000001500203 Convert 192960.2g to tonnes. 0.1929602 How many milligrams are there in thirteen fifths of a gram? 2600 How many kilograms are there in 9326.943ng? 0.000000009326943 What is twenty-seven halves of a millimeter in micrometers? 13500 How many decades are there in 16674.261 months? 138.952175 What is 33/5 of a millennium in months? 79200 What is 366.2865 decades in centuries? 36.62865 How many grams are there in three fifths of a kilogram? 600 How many kilograms are there in one quarter of a tonne? 250 What is 3/32 of a kilometer in centimeters? 9375 How many millimeters are there in 3/5 of a meter? 600 What is 11/2 of a microgram in nanograms? 5500 What is 703.8682 years in decades? 70.38682 What is 4.626196 grams in kilograms? 0.004626196 How many months are there in seven sixths of a millennium? 14000 Convert 15442.68 millilitres to litres. 15.44268 How many micrometers are there in 7/2 of a centimeter? 35000 What is 713.406 grams in tonnes? 0.000713406 How many years are there in 21/4 of a millennium? 5250 Convert 4478.525 years to millennia. 4.478525 What is 85.70425 seconds in milliseconds? 85704.25 What is 8/25 of a hour in seconds? 1152 How many millimeters are there in 0.738558 centimeters? 7.38558 What is 7079.943 millilitres in litres? 7.079943 What is 1/20 of a kilogram in grams? 50 What is 0.092291 milligrams in micrograms? 92.291 What is 3/5 of a gram in milligrams? 600 What is 21/2 of a millennium in decades? 1050 What is 78145.46 milligrams in kilograms? 0.07814546 How many micrometers are there in 6/25 of a millimeter? 240 Convert 607.0436 kilograms to nanograms. 607043600000000 How many nanograms are there in 84549.4 kilograms? 84549400000000000 How many seconds are there in 5/4 of a minute? 75 How many millilitres are there in eleven quarters of a litre? 2750 How many micrograms are there in 3/50 of a gram? 60000 What is 0.6433984 nanoseconds in seconds? 0.0000000006433984 How many millilitres are there in seven halves of a litre? 3500 How many millilitres are there in sixty-four fifths of a litre? 12800 What is 7/2 of a centimeter in millimeters? 35 How many nanograms are there in fifty-one fifths of a microgram? 10200 What is eight thirds of a millennium in months? 32000 What is 1/20 of a millimeter in micrometers? 50 What is 709.3604 nanograms in grams? 0.0000007093604 What is 8619.555 millennia in months? 103434660 What is 7/3 of a week in hours? 392 How many micrometers are there in 8/25 of a centimeter? 3200 How many days are there in 680136.48ms? 0.00787195 How many kilograms are there in 0.6004547 tonnes? 600.4547 How many millilitres are there in 7/2 of a litre? 3500 What is 37/5 of a gram in milligrams? 7400 Convert 61392.02 micrometers to meters. 0.06139202 What is 3.015867 minutes in milliseconds? 180952.02 What is eleven halves of a litre in millilitres? 5500 What is 5.467152km in centimeters? 546715.2 How many kilograms are there in 53/4 of a tonne? 13250 How many months are there in 4/3 of a century? 1600 How many millilitres are there in fifty-three fifths of a litre? 10600 How many millilitres are there in 5/4 of a litre? 1250 What is 6/5 of a meter in centimeters? 120 How many millilitres are there in fifty-one halves of a litre? 25500 How many nanograms are there in 11/2 of a microgram? 5500 What is 1/5 of a decade in months? 24 How many millimeters are there in 93/4 of a meter? 23250 How many hours are there in 25/2 of a day? 300 What is 2.770081 litres in millilitres? 2770.081 What is 0.5817857 micrometers in kilometers? 0.0000000005817857 What is fourty-two fifths of a centimeter in micrometers? 84000 What is 997279.5 centuries in years? 99727950 How many meters are there in 83588.2 millimeters? 83.5882 What is 3.212228ml in litres? 0.003212228 How many micrometers are there in 18/5 of a centimeter? 36000 What is 28829.397 months in decades? 240.244975 How many hours are there in seven quarters of a week? 294 How many nanometers are there in seven halves of a micrometer? 3500 How many kilograms are there in 29/2 of a tonne? 14500 What is 21/4 of a microgram in nanograms? 5250 What is seven thirds of a minute in seconds? 140 How many millilitres are there in 3/10 of a litre? 300 How many nanoseconds are there in 6/5 of a microsecond? 1200 Convert 33001.65 nanometers to meters. 0.00003300165 How many months are there in seven sixths of a century? 1400 How many kilograms are there in 59.29603 grams? 0.05929603 What is three fifths of a litre in millilitres? 600 How many milligrams are there in 0.7419332 kilograms? 741933.2 What is seven sixths of a hour in seconds? 4200 What is twenty-one fifths of a decade in years? 42 Convert 7845.013l to millilitres. 7845013 What is 1/10 of
{ "pile_set_name": "DM Mathematics" }
- 75*i**2 + 9628*i)*(0*i + i + i) + 0*i**3 + 3*i**3 - 5*i**3 - 3*i**3 + i - i to p + g*i**3 + z*i**2 + d*i and give g. -155 Rearrange 43 + 42 + 107*o + 134*o - 85 to the form y + n*o and give n. 241 Express -23 - 10 + 55 - 22 - 285*k**2 in the form g*k**2 + u*k + l and give g. -285 Express 1 + 114*y**4 + 124*y**4 - 236*y**4 + 79*y**2 - 2*y**3 in the form s*y + f*y**4 + m + w*y**3 + q*y**2 and give m. 1 Express (112*f**2 + 69*f**2 + 11*f**2)*(1 - 2 + 5)*(-1 - 2*f + 1) in the form a + c*f**2 + j*f + s*f**3 and give s. -1536 Express (-4*y + 0 + 0)*(-5 + 6 + 13)*((-1 - y + 1)*(3 - 1 - 1) - 4*y + 2 + 3*y - 4) as w*y**2 + i*y + q and give w. 112 Express 0*v**3 + 2*v**3 - v**3 + (-8*v**2 - 15*v**3 + 8*v**2)*(21 - 54 + 24) - 2*v**3 + 3*v**3 + 2*v**3 in the form u + r*v + k*v**3 + o*v**2 and give o. 0 Express -53*o - 5*o**2 - 31*o + 68*o in the form j*o**2 + x*o + q and give x. -16 Rearrange 2*o**2 - o**2 + 2453*o - 2521*o to m + n*o + f*o**2 and give n. -68 Rearrange -k**4 - 2*k**2 - 16*k**3 + 802*k - k**4 - 804*k to o + h*k + r*k**2 + j*k**4 + q*k**3 and give h. -2 Express 9433 - 9433 + 69*q as w*q + v and give w. 69 Rearrange (-3*j + 5*j - j)*(0 - 2 - 1)*(-5*j + 2*j - 6*j) to d*j + g + q*j**2 and give q. 27 Express (31 + 160*n - 317*n + 155*n)*(-4 + 1 + 2) as a*n + r and give a. 2 Rearrange (-5*u + 17*u - 40*u + (u + u - 4*u)*(4 - 2 - 3))*(u + 0*u + u) + 3*u**2 + 3*u**2 - 2*u**2 to the form n*u + t*u**2 + b and give b. 0 Rearrange 4*q**3 - 4*q**3 - 2*q**3 + (5*q**2 - 4*q**2 - 2*q**2)*(-2 + 3 - 2)*(-3*q + q - 22*q) to the form x*q + p*q**3 + b + w*q**2 and give p. -26 Express 151*z**3 + 155*z**3 - z**2 - 2*z + 3*z**2 + 1 - 308*z**3 - 52*z in the form b*z**2 + m*z**3 + t*z + g and give m. -2 Rearrange n - 67986*n**2 - 343*n**3 + 67986*n**2 to the form u*n**2 + i*n + g*n**3 + k and give g. -343 Express 3*g**2 - 54778*g**3 + 56805*g**3 + 0*g**2 - 3*g**2 + (2*g**2 + g**2 - 5*g**2)*(-3*g - g + 5*g) as u*g**3 + v + p*g**2 + z*g and give u. 2025 Express 11*m**4 + m**3 - 5 + 0*m**4 + 17 - 7*m**4 + 11 in the form b*m + a + n*m**2 + i*m**3 + r*m**4 and give i. 1 Rearrange 592*c + 136*c + 491*c + 474*c to r + g*c and give g. 1693 Rearrange -289 - 572 + 2*k + 2*k**3 - 2*k**2 + 1347 to the form z + f*k**3 + b*k + y*k**2 and give z. 486 Express 1352*q**2 + 14 - 9 - 7 + 2*q - 1384*q**2 in the form s + o*q + c*q**2 and give c. -32 Express (-22651*u**2 + 2 + 9*u + 22651*u**2 + 2*u**3)*(-u - 4*u + 0*u) in the form n*u**3 + s + k*u**4 + a*u**2 + b*u and give k. -10 Express (-4 + 4 + 5*m)*(-7*m**2 - 1 + 4*m**2 - 2) in the form h*m**2 + q + n*m + s*m**3 and give n. -15 Express 44*i**2 + 113*i**2 + 379*i**2 in the form a*i**2 + g + c*i and give a. 536 Rearrange -502*p + 502*p - 459*p**3 - 2*p**2 to b*p**3 + g*p + i + h*p**2 and give h. -2 Express ((-3 - 1 + 2)*(-g + 5 - 5) - 242 + 242 + 13*g)*((0 + 1 - 2)*(4 - 2 - 1) + 0 - 2 + 0) in the form l*g + r and give l. -45 Express (-2*d**2 - 3*d**2 + 4*d**2)*(-d + 4*d - d + (4 + 2 - 4)*(3 - 3 + d))*(-5 + 28 + 21) in the form f*d**2 + y*d + x*d**3 + u and give x. -176 Express (-2 + 4 + 0)*(-14*h + 51 - 51) - 5 + 4 + 16*h + 0*h + 0*h + 0*h + 2*h in the form n + q*h and give q. -10 Express 3*a**2 + 5 - 4*a - 180*a**3 + 88*a**3 + 91*a**3 as d*a + t*a**3 + o*a**2 + b and give d. -4 Rearrange -7 - 6*n**4 + 7 - n**4 + 39*n**4 - 4*n**4 + (-4 + n**3 + 4)*(2*n - 2 + 2) to the form v*n**4 + k*n + o*n**3 + y*n**2 + z and give v. 30 Express -5*w - 52*w**2 + 0*w**3 + 5*w**3 + 53*w**2 in the form h*w**3 + m + f*w**2 + p*w and give f. 1 Rearrange 2*c**3 + 83 + 0*c**4 - 81 + 3*c**4 + 3*c to the form z*c + a*c**3 + x*c**4 + p*c**2 + m and give a. 2 Express 44 + 6*r - 32 - 99 in the form a + v*r and give v. 6 Express -8 + 39 + 50*f - 15 - 11 in the form d + t*f and give d. 5 Rearrange -358*x**2 + 11390 - 11390 to f*x**2 + a*x + k and give f. -358 Rearrange (79*m - 191*m - 215*m - 203*m)*(2 - 4 + 0) to r + y*m and give y. 1060 Rearrange (-3 + 0 + 4 + 9*o)*(-9*o**3 - o**3 + 15*o**3) to the form s*o**4 + i*o**3 + q*o + b + z*o**2 and give z. 0 Rearrange (5*v - 4*v - 3*v)*(-12*v + 11 - 8 - 1) to l*v**2 + y*v + h and give y. -4 Express -m + 5*m - m - 51*m - 69*m + 13*m + (-1 + 1 - 2)*(0*m + 3*m - 2*m) in the form a + t*m and give t. -106 Express -13*f - 168*f**2 + 3*f**3 + 168*f**2 as r*f**3 + q + b*f + x*f**2 and give b. -13 Express 285*l**3 + 8 + 42 + 2*l**2 - 568*l**3 + 284*l**3 in the form v*l + p*l**3 + b + c*l**2 and give b. 50 Rearrange k + 185*k**3 + 193*k**3 + 20*k**4 - 2*k**2 - 376*k**3 to h*k**3 + t*k + b*k**2 + i*k**4 + z and give t. 1 Rearrange (2 - 1 - 2)*(-71 - 25*s - 4*s + 73) - 1 - 3*s + 1 to x*s + u and give x. 26 Rearrange -2 - 15*o + 10*o - 2*o**2 - 5 - 9*o**4 + 2*o**3 + 2 + 7*o to h*o**3 + q*o + t + w*o**4 + f*o**2 and give q. 2 Rearrange -3563*i**4 - 76*i**2 - 1 + 3565*i**4 + 3 to h + v*i**4 + b*i**3 + w*i + s*i**2 and give w. 0 Express 31952*n + 0 + 0 - 30789*n as w*n + d and give w. 1163 Express -h - 3*h + 2808593*h**2 - 2808577*h**2 - 37 + (2*h + 3 - 3)*(0 + h + 0) as p + u*h + g*h**2 and give p. -37 Rearrange (-139 + 236 - 155)*(4 - 6 + 4 - 9*p) to y*p + m and give y. 522 Rearrange -31*m - 19*m - 13*m + 7 + 23*m**2 + 61*m to the form h*m + j + l*m**2 and give j. 7 Rearrange (-13 + 18*u + 13)*(-2 + 4 - 1) + (3 + 1 - 2)*(0*u + 0*u + u) to n + y*u and give y. 20 Express (10*n**2 - 5*n**2 + 5*n**2)*(19670 - n**2 + 3*n - 19670) as s*n + d*n**3 + j + r*n**2 + a*n**4 and give a. -10 Express (0*p + 3*p - 2*p)*(-3 + 2 - 1)*(-60 - 17*p + 60) in the form w + u*p**2 + s*p and give u. 34 Rearrange -100*d**3 + 92*d**3 + 104*d - 110*d to f*d + p*d**2 + k*d**3 + a and give f. -6 Express (5 - 3 + 0 - 1 - 2 + 2 + (-34 + 71 + 47)*(1 + 2 - 2))*(0 + 0 + o) as d + t*o and give t. 85 Rearrange (-21*r + 0*r - 20*r)*(-4 + 4 + 2*r) - 2*r**2 + 3*r**2 + r**2 to the form v + h*r**2 + w*r and give w. 0 Express 2*g**2 + 0*g**2 + 0*g**2 + (-4*g**2 + 2*g**2 + 0*g**2)*(3 + 0 - 5) + 4 + 12*g**2 - 4 in the form w*g**2 + i*g + j and give w. 18 Rearrange (-150*n**3 + 97*n**3 + 81*n**3)*(478 - 478 + 27*n) to the form g*n + v + h*n**2 + z*n**3 + u*n**4 and give h. 0 Rearrange n**2 - 2*n**4 - n**3 - 8*n + 4*n - 2*n - 1 + 7*n to o*n**3 + g*n**2 + h*n**4 + j*n + k and give k. -1 Express (4*v - 2*v + 41864 - 41826)*(-1 + 1 + 2)*(-1 + 1 + 5 + (-2 + 2 + 1)*(1 - 2 + 0)) as d + s*v and give s. 16 Express (-7*x**2 + 5*x**2 + 18*x + 4*x**2)*(-6*x**2 + x**2 + 18*x**2) as k*x + j + n*x**3 + u*x**2 + t*x**4 and give n. 234 Rearrange 750*b**2 - 356*b**2 - 344*b**2 to the form p*b**2 + h*b + y and give p. 50 Rearrange -600*z + 300*z + z**2 + 299*z + 2 - 6*z**3 - z**2 to f*z**2 + u*z**3 + r*z + n and give r. -1 Rearrange (q**3 + 0*q + 0*q)*(20*q + 4*q - 8*q) + 42*q - 18*q**4 + 44*q - 86*q to the form w*q**2 + z*q + m + h*q**3 + y*q**4 and give y. -2 Rearrange 0 + 2*m - 115*m**2 - 6*m + 0 - 20*m**2 to the form v + r*m + a*m**2 and give a. -135 Rearrange -26 + 3*a - 11 - 20 - 2 + 0 to the form p*a + v and give p. 3 Express (-5*s + s + 5*s + 9)*(-1 + 8 - 5 + 4 - 4 + 4 + 2 - 2 + 1 + (-1 + 2 + 1)*(-3 + 2 + 2) - 3 + 3 - 1 + 0 + 2 - 1 + 1 + 0 - 3) as v*s + h and give h. 63 Express (15*s - 22*s + 22*s)*(9*s - 53*s + 17*s) in the form u*s + q*s**2 + g and give q. -405 Express (-5*n + 3*n + n)*(1306*n - 126*n + 167*n)*(-5 + 1 + 2) in the form b*n**2 + u*n + s and give b. 2694 Rearrange -276*m**3 + 117*m**3 - 42*m**3 + (-4 - 4 + 6)*(-2*m + m**3 + 2*m) to g + p*m + c*m**2 + f*m**3 and give f. -203 Rearrange -4*k - 2*k**3 + 0*k**3 + 14 - 13 + 10*k - 5*k to s + h*k**3 + r*k + l*k**2 and give r. 1 Express y**3 + 6*y - 621*y**2 - 2*y + 621*y**2 + 1 - 4*y**4 as x*y**4 + t*y + u*y**3 + h*y**2 + c and give u. 1 Express 5*y + 2 + y + 23191*y**3 + y**4 - 23193*y**3 - 4*y**2 as l*y + f*y**2 + s + w*y**4 + c*y**3 and give f. -4 Express (1 + k - 1)*(2 - 5 - 14) + k + 503 + 0*k - 500 in the form s*k + c and give c. 3 Express (-6 + 0 + 3)*(-1 - 5 + 22)*(-2*u + u - 3*u) in the form y + g*u and give g. 192 Express (-k + k - 2*k)*(-4*k + 2*k + 3*k) + (-5*k + 3*k + 4*k)*(-2*k + 6*k + 3*k) + 1 - 1 + k**2 as z*k**2 + s + w*k and give z. 13 Express 6*i**4 - 13*i + 13*i + (0*i**2 + 0*i**2 - 2*i**3)*(3 + 0 - 7)*(-4*i + 3*i + 2*i) in the form v*i**4 + c*i + f + l*i**3 + p*i**2 and give v. 14 Express 407*a + 353*
{ "pile_set_name": "DM Mathematics" }
atest common divisor of r and g. 8 Let x(i) = -6*i - 21. Let q be x(-8). What is the highest common divisor of 3 and q? 3 Suppose 6*v - 473 = -41. What is the highest common divisor of 24 and v? 24 Let l(z) = 21*z + 2. Let w be l(2). Let g be 200/11 + (-8)/w. Calculate the highest common factor of g and 2. 2 Suppose 4*m = -26 + 6. Let q = m - -9. Let h = -7 - -17. Calculate the highest common divisor of h and q. 2 Suppose 3*a + 100 = 8*a. Suppose 0 = -6*k + 5*k + 40. Calculate the greatest common divisor of k and a. 20 Let l be (-3)/(8 - 2)*78. Let y = -26 - l. What is the greatest common divisor of y and 117? 13 Suppose -29*c + 32 = -25*c. What is the greatest common factor of c and 104? 8 Let d = -46 - -52. What is the greatest common factor of 66 and d? 6 Let d = 10 + -7. Suppose -16 = d*c - 7*c. Calculate the highest common divisor of 12 and c. 4 Suppose 0 = -3*b - 647 + 161. Let m = -78 - b. Calculate the highest common divisor of 12 and m. 12 Let m = 11 - 5. Suppose 0*w + 4*w - 216 = 0. What is the greatest common factor of w and m? 6 Let r = 3 + -5. Let q be 48 + (-6)/((-4)/r). Suppose 15*a = 11*a + 20. Calculate the greatest common divisor of a and q. 5 Let p(w) = -w**3 - w**2 - 3*w + 4. Let m be p(-2). What is the greatest common divisor of 252 and m? 14 Let c be (-2 - 0)*(-3 - 2). Let q be (-126)/(-5) + (-3)/15. Calculate the highest common divisor of c and q. 5 Let r be (8/(-100)*-10)/(4/110). Calculate the highest common factor of r and 242. 22 Let u be (0 - -1)*1 - 6. Let c be (2 - 1)/(u - -6). Let d be c/(3/3) + 53. What is the highest common divisor of 18 and d? 18 Let z = 34 - 2. Suppose -5*w + g = -0*g - 160, w - z = g. What is the greatest common factor of w and 8? 8 Let p = 184 + -132. Suppose 4*m + 4*x = 6*x + 46, 3*m - 54 = -5*x. Calculate the greatest common divisor of m and p. 13 Let l(y) = -6*y - 3. Let s be l(7). Let o = -4 - s. Let k = 104 - o. Calculate the highest common factor of k and 9. 9 Let d be 14/6 + (-2)/(-3). Suppose 0 = -5*y - c - d*c + 242, 5*c + 10 = 0. Suppose o - 2*o = -10. Calculate the greatest common factor of y and o. 10 Let s(g) = -3*g**2 - 4*g + 3. Let n be s(-4). Let d be (n - 11)/(-1 + -1). Calculate the highest common divisor of d and 30. 10 Suppose 74 = 2*p + 2*g, -4*p + 3*g = -g - 140. Calculate the greatest common divisor of p and 90. 18 Suppose 2*f + 4*x = 14, -2*f - 2 = -5*x + 2. Calculate the greatest common factor of f and 1. 1 Let y(m) = m**3 + 9*m**2 + 3*m + 2. Let o be y(-6). Calculate the highest common divisor of 23 and o. 23 Let x be (2 + -3)*-4 - 2. Let w be 5*x/((-4)/(-6)). Suppose -2*m + 106 = 16. What is the highest common divisor of m and w? 15 Let r be (-80 - 0)/(-2) - -2. Suppose 0 = -8*n + 12*n - 24. What is the highest common divisor of r and n? 6 Suppose -16*z + 1760 = -6*z. Calculate the greatest common divisor of 16 and z. 16 Suppose 2*f + 22 = 3*f. What is the greatest common divisor of f and 110? 22 Let k be 157/3 + (-20)/15. Let d = 135 - k. Suppose 0 = i + i - 24. Calculate the highest common divisor of i and d. 12 Let c = 420 - 251. Suppose 0 = -5*g + 66 + c. Let x = g - 8. Calculate the greatest common divisor of x and 13. 13 Let x(h) be the second derivative of -h**4/12 - 7*h**3/6 + 3*h. Let t be x(-5). What is the highest common divisor of 10 and t? 10 Let p = 4 - 2. Suppose -12 - 16 = -3*w - 2*z, p*z + 14 = 4*w. Let b be w/(-2) - 186/(-6). What is the highest common divisor of b and 7? 7 Suppose 1 + 14 = 3*k. Suppose 277 + 163 = k*r. Calculate the highest common divisor of 8 and r. 8 Let q be (-2)/(-9) - (-291)/27. Calculate the highest common divisor of 121 and q. 11 Let h = -12 + 27. What is the highest common factor of h and 105? 15 Suppose 2*h - 90 - 190 = 0. What is the greatest common divisor of 14 and h? 14 Let k(a) = a**3 + 3*a**2 - 2*a - 4. Let f be k(-3). Let r(n) = 9*n - 3. Let j be r(f). Calculate the highest common divisor of 60 and j. 15 Let a = -31 - -38. What is the greatest common factor of a and 77? 7 Suppose 3*h = i - 33, -2*i - 7 = 2*h - 33. What is the greatest common divisor of 9 and i? 9 Let p = 28 - 4. Suppose 2*a = 2*v + 4, 2*a - 3*v = 3*a + 6. Let f = 3 + a. Calculate the greatest common factor of f and p. 3 Suppose -12*r = -4*r - 1840. Calculate the highest common divisor of 92 and r. 46 Let m = -6 + 21. Suppose 0 = -2*z - z + m. Suppose 2*q + 3*q + 3*d - 5 = 0, -5*q - 2*d + z = 0. Calculate the greatest common factor of 11 and q. 1 Let x be 2/(-9) + (-58)/(-18). Let o be x*1*2/3. Let t be (o/(-5))/((-2)/280). What is the highest common factor of 14 and t? 14 Let w(c) = 1 - c**2 - c + 32*c**3 - 11*c**3 + 20*c**3. Let o be w(1). Suppose 116*k - 80 = 108*k. Calculate the highest common divisor of o and k. 10 Suppose -4*o = -3*g - 4, 0 = -2*g + 6*g - 5*o + 4. Let j(l) = 24*l**2 + 3*l. Let f be j(g). What is the greatest common divisor of f and 36? 36 Let o(m) = -m - 2. Let u be o(-2). Suppose -2*b = -u*b - 40. Calculate the highest common divisor of b and 180. 20 Let f = 1 - -8. Suppose 5*z + 0*z - 5*r = -5, 3*z + 3*r = f. Calculate the highest common factor of z and 4. 1 Let t be (-34)/(-9) + (-8)/(-36). Suppose 0 = -x - 1, x + 37 = 3*d - 0*x. Calculate the highest common divisor of t and d. 4 Let o be (1/(-2))/((-1)/22). Let h(y) = -y**2 - 12*y. Let w be h(-11). What is the highest common divisor of w and o? 11 Let l = -116 - -201. What is the greatest common divisor of l and 34? 17 Let s(h) = h**2 + h - 2. Let u(o) = -2*o**2 - o + 3. Let x(b) = -5*s(b) - 2*u(b). Let k be x(-3). What is the greatest common factor of 16 and k? 4 Suppose -p + 9 = -3. Suppose 17 + 3 = 5*t. Suppose 0 = 4*y + 4*j - 28, -4*y = -t*j - 76 + 8. What is the highest common factor of y and p? 12 Let x(p) = -6*p - 18. Let b be x(-9). What is the highest common factor of b and 27? 9 Suppose h + 3*s = 85, h + h - 150 = -2*s. Calculate the highest common factor of h and 14. 14 Let p = 142 + -98. Suppose 23 = q - j + 3*j, -2*q - 3*j + p = 0. Let z = q - 8. Calculate the highest common divisor of z and 33. 11 Suppose 2*r - 2 = 0, 5*a - 722 = 2*a + 4*r. Suppose 0 = i + 23 + 11. Let u = 56 + i. What is the greatest common factor of u and a? 22 Let a = 11 + -7. What is the highest common divisor of a and 4? 4 Suppose o = 2*o - 10. Suppose 0 = -2*q - q + 270. What is the greatest common divisor of q and o? 10 Let z(a) = -a**2 + 4*a + 5. Let k be z(6). Let s = 17 + k. Calculate the highest common factor of 20 and s. 10 Suppose 0 = 2*n + 3 - 17. What is the highest common divisor of n and 77? 7 Let f = -24 - -27. Calculate the highest common divisor of 9 and f. 3 Let f be 11 + (-4 - -4) + -1. Let j = 68 - 48. Calculate the greatest common factor of j and f. 10 Let p be 30/9*24/10. Let m be (-5)/20 - (-402)/p. Suppose -c - 1 = 3*i - 29, 4*i - 5*c - m = 0. Calculate the greatest common factor of i and 10. 10 Suppose -5*w - 73 = -5*o - 9*w, 3*o - 2*w - 57 = 0. Suppose 4*q + q - 224 = -4*c, -5*c + 239 = -4*q. What is the highest common factor of o and c? 17 Suppose -l = -5*p + 35, 3*p + 2*p + 4*l = 10. Let o = p + 4. Let b be (-51)/(-12) - (-9)/12. Calculate the greatest common factor of b and o. 5 Let p be (2/5)/((-12)/(-480)). Suppose 2*u = -3*d + 288, u - 144 = 6*d - 2*d. Calculate the greatest common factor of p and u. 16 Let h(z) = -20*z - 2. Let c be h(-4). What is the highest common factor of 52 and c? 26 Let j = -9 + 7. Let f be (-1)/((j/5)/2). What is the highest common factor of f and 25? 5 Let o(q) = -4*q - 1. Let x be o(-1). What is the highest common divisor of x and 33? 3 Suppose -5*q + 2*a - 3*a + 68 = 0, -2*q - 5*a + 41 = 0. Suppose q + 7 = 5*h. Calculate the greatest common divisor of h and 8. 4 Let x = -2 - -5. Suppose x*p + 5*z - 57 = 0, 5*p - 76 = p - 3*z. Let h be 2*(-1)/10 + 666/5. What is the highest common factor of p and h? 19 Let d(b) = 4*b**2 - 2*b - 2. Let i be d(-1). Suppose -i*h - 5 + 145 = 0. What is the greatest common factor of 14 and h? 7 Suppose 0 = 2*f + q - 421, -6*q - 599 = -3*f - q. Calculate the highest common factor of f and 52. 52 Let p = -5 + 9. Suppose -p*s = 2*j - 68, -2*j = 3*j - 20. Calculate the greatest common divisor of 5 and s. 5 Suppose v - 65 = 10. What is the greatest common factor of 15 and v? 15 Suppose 2*y + 3*y = 65.
{ "pile_set_name": "DM Mathematics" }
ulate prob of sequence fmf when three letters picked without replacement from {f: 4, m: 3}. 6/35 Two letters picked without replacement from bbeebiqqiiibbqiip. Give prob of sequence be. 5/136 Three letters picked without replacement from hhfeclkk. Give prob of sequence hck. 1/84 Calculate prob of sequence tb when two letters picked without replacement from {k: 4, b: 2, t: 2, n: 1, c: 5}. 2/91 Calculate prob of sequence nsmm when four letters picked without replacement from {s: 1, n: 8, m: 4}. 4/715 Calculate prob of sequence pppu when four letters picked without replacement from {u: 4, p: 16}. 112/969 Calculate prob of sequence rrss when four letters picked without replacement from {r: 3, s: 17}. 4/285 What is prob of sequence bxqb when four letters picked without replacement from {q: 1, b: 3, x: 6, m: 2}? 1/330 Three letters picked without replacement from {r: 3, z: 7}. What is prob of sequence zrz? 7/40 Two letters picked without replacement from gddgggggggd. Give prob of sequence dd. 3/55 What is prob of sequence ta when two letters picked without replacement from xatih? 1/20 Calculate prob of sequence uagl when four letters picked without replacement from lalvgpu. 1/420 Two letters picked without replacement from clczbl. Give prob of sequence cl. 2/15 Four letters picked without replacement from dhhhhhhhhhdhhhhhhhhh. What is prob of sequence hdhd? 1/190 Two letters picked without replacement from ijiwjiiji. Give prob of sequence ij. 5/24 What is prob of sequence hn when two letters picked without replacement from hffhhnfh? 1/14 Three letters picked without replacement from {f: 5, m: 11, i: 2, h: 2}. What is prob of sequence hmh? 11/3420 Two letters picked without replacement from bccbbbbcbbb. Give prob of sequence cb. 12/55 Two letters picked without replacement from {m: 4, q: 3, j: 6, c: 2, b: 1}. Give prob of sequence mm. 1/20 What is prob of sequence kkkx when four letters picked without replacement from xkxkhhkxkk? 1/28 What is prob of sequence jv when two letters picked without replacement from {j: 5, v: 1, k: 1, s: 6, d: 2}? 1/42 Two letters picked without replacement from {l: 2, a: 4}. Give prob of sequence aa. 2/5 Four letters picked without replacement from {g: 2, l: 1, r: 1, u: 1, y: 1, h: 1}. Give prob of sequence rghu. 1/420 Calculate prob of sequence ffxd when four letters picked without replacement from fdfxffdddsk. 1/165 Three letters picked without replacement from {v: 1, p: 1, g: 2, z: 1, e: 1, b: 1}. What is prob of sequence gbe? 1/105 Two letters picked without replacement from tprritttrrttrrrrrrh. What is prob of sequence ti? 1/57 Two letters picked without replacement from mxxxxiwmxhxwlxi. Give prob of sequence li. 1/105 Two letters picked without replacement from jqjszlsqejesjjsjeej. What is prob of sequence sz? 2/171 Three letters picked without replacement from ggxgkgggggggg. Give prob of sequence kxg. 1/156 What is prob of sequence ggi when three letters picked without replacement from lsagaaaglqsgglilisls? 1/285 Two letters picked without replacement from ckiibdbx. Give prob of sequence bd. 1/28 Calculate prob of sequence ekv when three letters picked without replacement from kkvveevkkeeeveke. 1/24 Calculate prob of sequence dzd when three letters picked without replacement from dvzdvdzdvdvvdddd. 3/70 What is prob of sequence ll when two letters picked without replacement from {l: 3}? 1 What is prob of sequence vmvv when four letters picked without replacement from {v: 9, m: 3}? 7/55 Three letters picked without replacement from {y: 5, a: 5}. Give prob of sequence aaa. 1/12 What is prob of sequence qbeg when four letters picked without replacement from {b: 2, g: 2, h: 1, e: 1, q: 2, j: 1}? 1/378 What is prob of sequence gcg when three letters picked without replacement from {b: 1, c: 2, g: 2}? 1/15 Calculate prob of sequence jw when two letters picked without replacement from {s: 1, j: 2, g: 1, e: 3, w: 4, z: 4}. 4/105 Calculate prob of sequence al when two letters picked without replacement from vaallelrlrrrrep. 4/105 Calculate prob of sequence ppy when three letters picked without replacement from {y: 1, l: 2, j: 1, p: 11}. 11/273 Four letters picked without replacement from {i: 7}. Give prob of sequence iiii. 1 What is prob of sequence wp when two letters picked without replacement from {w: 3, p: 3, b: 1, r: 4}? 9/110 Four letters picked without replacement from xaqbaqbjjaaaqbbb. What is prob of sequence bjaq? 5/1456 Four letters picked without replacement from {c: 6, x: 12}. Give prob of sequence xxxx. 11/68 Four letters picked without replacement from hjjlllhljljlj. Give prob of sequence jhhj. 1/429 Two letters picked without replacement from ggddmxmmgcmdxgmxmmm. Give prob of sequence cx. 1/114 Calculate prob of sequence gu when two letters picked without replacement from {g: 1, u: 3}. 1/4 What is prob of sequence dq when two letters picked without replacement from vdqnv? 1/20 Four letters picked without replacement from ugwunfwfngfunuttfw. What is prob of sequence gwgu? 1/3060 Four letters picked without replacement from {o: 2, p: 7, r: 5, x: 1, h: 1}. What is prob of sequence oprr? 1/156 Calculate prob of sequence www when three letters picked without replacement from dddddwddwdwddw. 1/91 Three letters picked without replacement from zzzzzzzzz. What is prob of sequence zzz? 1 Calculate prob of sequence ib when two letters picked without replacement from {b: 1, s: 1, i: 1}. 1/6 What is prob of sequence ud when two letters picked without replacement from {d: 3, s: 1, u: 1, f: 2}? 1/14 Three letters picked without replacement from diddiiiikikiiii. What is prob of sequence iii? 24/91 Two letters picked without replacement from {v: 1, d: 2, k: 1, t: 8, e: 3, f: 1}. What is prob of sequence df? 1/120 Two letters picked without replacement from vfdfhfd. What is prob of sequence fv? 1/14 Calculate prob of sequence ge when two letters picked without replacement from pgixpwieepiiwwxeexwx. 1/95 Four letters picked without replacement from {y: 12, h: 3}. Give prob of sequence hhyh. 1/455 Two letters picked without replacement from cxahxxl. What is prob of sequence al? 1/42 Three letters picked without replacement from {m: 7, u: 2, s: 4, k: 5, d: 1, r: 1}. Give prob of sequence skk. 2/171 Two letters picked without replacement from {z: 5, u: 5}. Give prob of sequence zz. 2/9 What is prob of sequence xpg when three letters picked without replacement from gpmrx? 1/60 Calculate prob of sequence jjq when three letters picked without replacement from {j: 2, q: 6}. 1/28 Two letters picked without replacement from eottstteeo. What is prob of sequence ot? 4/45 Three letters picked without replacement from {x: 1, g: 2, s: 1, q: 1, v: 2, r: 2}. Give prob of sequence gsq. 1/252 What is prob of sequence mo when two letters picked without replacement from {k: 2, m: 3, o: 2, j: 1, q: 3, u: 3}? 3/91 Two letters picked without replacement from {i: 7, h: 4, v: 5, g: 2}. What is prob of sequence hv? 10/153 Four letters picked without replacement from {s: 1, x: 2, m: 1, n: 3}. Give prob of sequence nnns. 1/140 Two letters picked without replacement from qswgllqggwwd. What is prob of sequence ww? 1/22 Three letters picked without replacement from {d: 6, l: 13}. Give prob of sequence ddd. 20/969 Two letters picked without replacement from hhhhpkkhhhhhhh. What is prob of sequence ph? 11/182 What is prob of sequence khi when three letters picked without replacement from {i: 2, k: 3, h: 3}? 3/56 Four letters picked without replacement from ssmubusuus. What is prob of sequence ubuu? 1/210 What is prob of sequence xl when two letters picked without replacement from xllxbllblbkdox? 15/182 Three letters picked without replacement from fffffcfcfffzzfc. Give prob of sequence czz. 1/455 Two letters picked without replacement from fruurmrrurzmurrruurr. Give prob of sequence ru. 3/19 Calculate prob of sequence rutu when four letters picked without replacement from {r: 1, t: 8, u: 8}. 2/255 Three letters picked without replacement from {f: 3, b: 2, h: 5, e: 7}. What is prob of sequence eeb? 7/340 What is prob of sequence pp when two letters picked without replacement from {y: 1, p: 17}? 8/9 Calculate prob of sequence adgd when four letters picked w
{ "pile_set_name": "DM Mathematics" }
1034181 to 4 dps. 0.1034 What is -0.0032738347 rounded to 5 dps? -0.00327 Round 1016.222 to the nearest 100. 1000 What is 0.950636 rounded to 2 decimal places? 0.95 What is 4.413059 rounded to two dps? 4.41 What is -0.0005134944 rounded to four dps? -0.0005 Round 3485273 to the nearest 100000. 3500000 Round 965318 to the nearest one thousand. 965000 Round 0.000314542 to 5 decimal places. 0.00031 What is -0.0000015357 rounded to 6 decimal places? -0.000002 What is 17244.153 rounded to the nearest 1000? 17000 What is 584600590 rounded to the nearest 1000000? 585000000 Round -0.677707 to three dps. -0.678 What is -4246654.5 rounded to the nearest one hundred thousand? -4200000 Round 20.8364 to the nearest integer. 21 Round 0.00102229 to three dps. 0.001 Round 0.000224618 to five decimal places. 0.00022 What is -0.804168 rounded to 2 decimal places? -0.8 Round 58413.754 to the nearest 1000. 58000 Round 13549146 to the nearest one million. 14000000 What is -0.000312703 rounded to 6 decimal places? -0.000313 What is -0.019138908 rounded to 5 decimal places? -0.01914 Round 0.0347756 to two decimal places. 0.03 Round 21047.61 to the nearest 1000. 21000 What is -6945.27 rounded to the nearest one hundred? -6900 Round -0.0000260421 to 6 decimal places. -0.000026 Round 398.228 to the nearest ten. 400 What is 0.0002135043 rounded to 6 dps? 0.000214 What is 0.000022373125 rounded to seven decimal places? 0.0000224 Round 0.000019705807 to 7 decimal places. 0.0000197 What is 527.578 rounded to the nearest ten? 530 Round 3964.424 to zero decimal places. 3964 Round -1895.93 to the nearest integer. -1896 Round -12616.367 to the nearest one thousand. -13000 What is 7338460 rounded to the nearest one million? 7000000 Round 1901.19 to the nearest 10. 1900 What is -0.000000064311 rounded to 7 dps? -0.0000001 Round -0.0001689649 to five decimal places. -0.00017 Round -86540700 to the nearest 100000. -86500000 What is -1097.3335 rounded to the nearest integer? -1097 What is -0.0449562 rounded to 3 dps? -0.045 What is -5943.571 rounded to the nearest 10? -5940 What is 0.000201238 rounded to 4 decimal places? 0.0002 Round 0.0001237821 to six dps. 0.000124 Round -0.000784205 to 6 decimal places. -0.000784 Round 17665860 to the nearest one million. 18000000 Round -86.37712 to 1 decimal place. -86.4 What is -1.38729 rounded to three dps? -1.387 What is -17277470 rounded to the nearest one hundred thousand? -17300000 What is -4.069639 rounded to the nearest integer? -4 Round -0.0048819625 to 4 decimal places. -0.0049 Round -62.15944 to the nearest integer. -62 Round 7122340 to the nearest 1000000. 7000000 Round -1.2755283 to four dps. -1.2755 Round 0.00003853902 to five dps. 0.00004 What is -0.967709 rounded to 3 dps? -0.968 Round -83400926 to the nearest ten thousand. -83400000 Round 990374.82 to the nearest ten thousand. 990000 Round 0.00002056346 to 7 decimal places. 0.0000206 What is 0.014405 rounded to two decimal places? 0.01 What is -0.03209157 rounded to 2 decimal places? -0.03 What is -47.8041 rounded to the nearest ten? -50 What is 147885300 rounded to the nearest 1000000? 148000000 What is -14581.2 rounded to the nearest ten thousand? -10000 What is -24438040 rounded to the nearest ten thousand? -24440000 Round -38.43583 to two decimal places. -38.44 What is -427.74397 rounded to 0 dps? -428 Round -570869000 to the nearest 1000000. -571000000 Round 350228 to the nearest 10000. 350000 Round 54623.589 to the nearest ten. 54620 What is 0.0000292413 rounded to 5 dps? 0.00003 What is -0.00003513609 rounded to 7 dps? -0.0000351 What is 175.642 rounded to zero dps? 176 Round 0.5880731 to 1 dp. 0.6 Round 123.364 to the nearest 10. 120 What is -7512950 rounded to the nearest one million? -8000000 What is 10196.08 rounded to the nearest ten? 10200 What is 0.0215377 rounded to three dps? 0.022 What is -770.2077 rounded to the nearest 10? -770 Round 113989.3 to the nearest one thousand. 114000 Round 0.009542028 to 3 decimal places. 0.01 Round 40.8172 to zero dps. 41 What is 229516200 rounded to the nearest 1000000? 230000000 What is -0.1800195 rounded to three dps? -0.18 What is -49.88912 rounded to the nearest ten? -50 What is 794652 rounded to the nearest one thousand? 795000 What is -0.0001414606 rounded to 5 dps? -0.00014 What is 15095800 rounded to the nearest ten thousand? 15100000 Round -0.59343183 to 1 decimal place. -0.6 What is -0.0000087089 rounded to six dps? -0.000009 Round -4132180 to the nearest one million. -4000000 What is -590891 rounded to the nearest one hundred thousand? -600000 What is -386.25 rounded to the nearest 10? -390 What is 0.00011827812 rounded to five decimal places? 0.00012 Round 60484.64 to the nearest one thousand. 60000 What is -41132050 rounded to the nearest one hundred thousand? -41100000 What is -750716.3 rounded to the nearest 100000? -800000 What is -7.6316 rounded to one dp? -7.6 Round 787443200 to the nearest 100000. 787400000 What is 0.00004583917 rounded to five dps? 0.00005 Round -0.22079092 to four dps. -0.2208 Round -43771500 to the nearest 1000000. -44000000 Round -0.00000730835 to seven decimal places. -0.0000073 What is 6567136000 rounded to the nearest 1000000? 6567000000 Round 5431.94 to the nearest 100. 5400 Round 0.6291512 to 4 decimal places. 0.6292 Round 23498.269 to the nearest 1000. 23000 Round 70.0091 to 1 dp. 70 Round 2169.794 to the nearest 1000. 2000 Round -359435.3 to the nearest 1000. -359000 What is -0.1111767 rounded to two dps? -0.11 What is -0.0001059527 rounded to 7 decimal places? -0.000106 Round -0.2629 to 2 decimal places. -0.26 What is -601.3073 rounded to the nearest 10? -600 What is 0.0257524 rounded to four decimal places? 0.0258 What is 54.61738 rounded to the nearest 10? 50 What is 0.00013048222 rounded to 6 decimal places? 0.00013 What is 3257.34 rounded to the nearest one hundred? 3300 Round 0.0000450082 to six dps. 0.000045 Round -18534.89 to the nearest 10. -18530 Round -51.181 to the nearest ten. -50 What is 2699611.4 rounded to the nearest one hundred thousand? 2700000 What is -0.0197301 rounded to 4 dps? -0.0197 Round -0.00818605 to five decimal places. -0.00819 Round -0.01452465 to three dps. -0.015 What is -378.65095 rounded to the nearest 10? -380 What is -4989.874 rounded to zero decimal places? -4990 Round 2.076097 to 1 decimal place. 2.1 What is -20685156 rounded to the nearest one hundred thousand? -20700000 Round -0.00038805 to 3 decimal places. 0 What is 0.000090561 rounded to five decimal places? 0.00009 What is -0.99263 rounded to 1 decimal place? -1 What is -0.000115294 rounded to five dps? -0.00012 What is 333571500 rounded to the nearest one million? 334000000 What is 4254328000 rounded to the nearest one million? 4254000000 Round -0.00000298111 to 6 dps. -0.000003 Round 3.8235 to the nearest integer. 4 What is -6.6236 rounded to two dps? -6.62 What is -1.30046 rounded to 3 decimal places? -1.3 Round 64012.2 to the nearest one thousand. 64000 Round 10952.16 to the nearest one thousand. 11000 What is -17740229 rounded to the nearest 100000? -17700000 What is -0.0004926219 rounded to six dps? -0.000493 Round -83.038 to 0 dps. -83 Round -0.00001057906 to 6 dps. -0.000011 Round -0.00725686 to three dps. -0.007 Round -0.0000003002198 to seven decimal places. -0.0000003 What is 0.000001026027 rounded to seven decimal places? 0.000001 What is 51801.74 rounded to the nearest ten? 51800 What is 0.002577434 rounded to four decimal places? 0.0026 Round -0.0001213474 to five dps. -0.00012 Round -0.553877 to 3 decimal places. -0.554 Round -0.0097864571 to four decimal places. -0.0098 What is -44253.7 rounded to the nearest 1000? -44000 What is 1.6489 rounded to two dps? 1.65 What is 2634299700 rounded to the nearest 1000000? 2634000000 Round -40776.62 to the nearest 1000. -41000 What is -0.035761 rounded to three dps? -0.036 What is -28518 rounded to the nearest one thousand? -29000 What is -0.7985866 rounded to 3 dps? -0.799 What is 0.0000578647 rounded to 5 dps? 0.00006 What is 31396.15 rounded to the nearest ten? 31400 What is -0.00000542042 rounded to six decimal places? -0.000005 Round 0.00000045565 to 7 decimal places. 0.0000005 Round 0.00000645788 to seven dps. 0.0000065 Rou
{ "pile_set_name": "DM Mathematics" }
1601 What are the prime factors of 5722? 2, 2861 List the prime factors of 146625. 3, 5, 17, 23 What are the prime factors of 1607? 1607 List the prime factors of 10621. 13, 19, 43 List the prime factors of 1197. 3, 7, 19 List the prime factors of 83. 83 List the prime factors of 67527. 3, 41, 61 List the prime factors of 1772. 2, 443 List the prime factors of 99. 3, 11 List the prime factors of 560. 2, 5, 7 List the prime factors of 644. 2, 7, 23 List the prime factors of 1721. 1721 List the prime factors of 767. 13, 59 List the prime factors of 3556. 2, 7, 127 List the prime factors of 25825. 5, 1033 List the prime factors of 12037. 12037 What are the prime factors of 184? 2, 23 List the prime factors of 13706. 2, 7, 11, 89 List the prime factors of 13. 13 List the prime factors of 19468. 2, 31, 157 What are the prime factors of 19937? 19937 List the prime factors of 88417. 7, 17, 743 List the prime factors of 96478. 2, 48239 What are the prime factors of 512? 2 List the prime factors of 794. 2, 397 List the prime factors of 24127. 23, 1049 List the prime factors of 42160. 2, 5, 17, 31 List the prime factors of 25. 5 List the prime factors of 4685. 5, 937 What are the prime factors of 50150? 2, 5, 17, 59 What are the prime factors of 31333? 31333 List the prime factors of 958. 2, 479 List the prime factors of 27381. 3, 9127 List the prime factors of 6907. 6907 List the prime factors of 34761. 3, 11587 What are the prime factors of 1865? 5, 373 List the prime factors of 225. 3, 5 List the prime factors of 454. 2, 227 What are the prime factors of 1382? 2, 691 What are the prime factors of 16111? 16111 List the prime factors of 377. 13, 29 List the prime factors of 438. 2, 3, 73 What are the prime factors of 8620? 2, 5, 431 What are the prime factors of 724? 2, 181 List the prime factors of 97698. 2, 3, 19, 857 What are the prime factors of 18943? 19, 997 What are the prime factors of 863? 863 List the prime factors of 22600. 2, 5, 113 List the prime factors of 463. 463 List the prime factors of 149088. 2, 3, 1553 List the prime factors of 341. 11, 31 What are the prime factors of 2069? 2069 List the prime factors of 608. 2, 19 List the prime factors of 15977. 13, 1229 List the prime factors of 93311. 23, 4057 What are the prime factors of 27345? 3, 5, 1823 What are the prime factors of 69? 3, 23 What are the prime factors of 3260? 2, 5, 163 List the prime factors of 925. 5, 37 List the prime factors of 269. 269 List the prime factors of 753. 3, 251 List the prime factors of 68608. 2, 67 What are the prime factors of 1603? 7, 229 What are the prime factors of 21256? 2, 2657 What are the prime factors of 6846? 2, 3, 7, 163 List the prime factors of 25335. 3, 5, 563 List the prime factors of 86950. 2, 5, 37, 47 List the prime factors of 690. 2, 3, 5, 23 What are the prime factors of 4230? 2, 3, 5, 47 List the prime factors of 32297. 32297 What are the prime factors of 10253? 10253 List the prime factors of 944. 2, 59 What are the prime factors of 5608? 2, 701 What are the prime factors of 10282? 2, 53, 97 List the prime factors of 2431. 11, 13, 17 What are the prime factors of 10101? 3, 7, 13, 37 What are the prime factors of 158179? 7, 59, 383 List the prime factors of 3442. 2, 1721 What are the prime factors of 314? 2, 157 List the prime factors of 562. 2, 281 What are the prime factors of 15102? 2, 3, 839 List the prime factors of 5626. 2, 29, 97 List the prime factors of 508. 2, 127 What are the prime factors of 19925? 5, 797 What are the prime factors of 484? 2, 11 What are the prime factors of 276? 2, 3, 23 List the prime factors of 284. 2, 71 What are the prime factors of 135181? 135181 List the prime factors of 487. 487 List the prime factors of 605. 5, 11 List the prime factors of 757. 757 List the prime factors of 6053. 6053 List the prime factors of 19876. 2, 4969 What are the prime factors of 55? 5, 11 What are the prime factors of 225? 3, 5 List the prime factors of 10094. 2, 7, 103 List the prime factors of 18613. 7, 2659 List the prime factors of 9720. 2, 3, 5 What are the prime factors of 1013? 1013 What are the prime factors of 154143? 3, 11, 173 List the prime factors of 497. 7, 71 List the prime factors of 3144. 2, 3, 131 What are the prime factors of 849? 3, 283 What are the prime factors of 12250? 2, 5, 7 What are the prime factors of 2575? 5, 103 What are the prime factors of 788? 2, 197 List the prime factors of 117567. 3, 13063 List the prime factors of 6954. 2, 3, 19, 61 What are the prime factors of 143868? 2, 3, 19, 631 What are the prime factors of 1703? 13, 131 List the prime factors of 8143. 17, 479 List the prime factors of 5332. 2, 31, 43 What are the prime factors of 54966? 2, 3, 9161 List the prime factors of 70103. 11, 6373 List the prime factors of 9361. 11, 23, 37 List the prime factors of 62415. 3, 5, 19, 73 What are the prime factors of 36778? 2, 7, 37, 71 What are the prime factors of 62535? 3, 5, 11, 379 What are the prime factors of 15264? 2, 3, 53 What are the prime factors of 562? 2, 281 What are the prime factors of 10166? 2, 13, 17, 23 List the prime factors of 11037. 3, 13, 283 List the prime factors of 3616. 2, 113 What are the prime factors of 52696? 2, 7, 941 List the prime factors of 30418. 2, 67, 227 What are the prime factors of 1250? 2, 5 What are the prime factors of 1026? 2, 3, 19 What are the prime factors of 106148? 2, 7, 17, 223 List the prime factors of 1019. 1019 What are the prime factors of 1817? 23, 79 What are the prime factors of 22112? 2, 691 What are the prime factors of 152704? 2, 1193 List the prime factors of 50530. 2, 5, 31, 163 What are the prime factors of 95025? 3, 5, 7, 181 What are the prime factors of 437? 19, 23 What are the prime factors of 20537? 11, 1867 List the prime factors of 18058. 2, 9029 List the prime factors of 379. 379 What are the prime factors of 113? 113 What are the prime factors of 9225? 3, 5, 41 List the prime factors of 18593. 18593 List the prime factors of 64552. 2, 8069 List the prime factors of 5119. 5119 What are the prime factors of 2348? 2, 587 What are the prime factors of 4686? 2, 3, 11, 71 List the prime factors of 8637. 3, 2879 What are the prime factors of 22313? 53, 421 List the prime factors of 2228. 2, 557 What are the prime factors of 32923? 11, 41, 73 List the prime factors of 160540. 2, 5, 23, 349 List the prime factors of 755. 5, 151 What are the prime factors of 7209? 3, 89 What are the prime factors of 722? 2, 19 List the prime factors of 36647. 13, 2819 What are the prime factors of 30833? 11, 2803 What are the prime factors of 665? 5, 7, 19 List the prime factors of 19720. 2, 5, 17, 29 What are the prime factors of 15867? 3, 41, 43 What are the prime factors of 23778? 2, 3, 1321 What are the prime factors of 780? 2, 3, 5, 13 What are the prime factors of 3837? 3, 1279 List the prime factors of 14248. 2, 13, 137 What are the prime factors of 3051? 3, 113 List the prime factors of 23684. 2, 31, 191 List the prime factors of 1367. 1367 List the prime factors of 1201. 1201 List the prime factors of 358. 2, 179 List the prime factors of 1973. 1973 List the prime factors of 45196. 2, 11299 What are the prime factors of 2268? 2, 3, 7 What are the prime factors of 67451? 37, 1823 List the prime factors of 2620. 2, 5, 131 What are the prime factors of 317? 317 List the prime factors of 1026. 2, 3, 19 List the prime factors of 1315. 5, 263 List the prime factors of 50411. 50411 What are the prime factors of 92372? 2, 7, 3299 What are the prime factors of 32644? 2, 8161 List the prime factors of 1727. 11, 157 List the prime factors of 115873. 115873 List the prime factors of 137285. 5, 27457 What are the prime factors of 445? 5, 89 List the prime factors of 5561. 67, 83 What are the prime factors of 66086? 2, 173, 191 What are the prime factors of 110583? 3, 11, 1117 List the prime factors of 1364. 2, 11, 31 What are the prime factors of 9901? 9901 What are the prime factors of 10742? 2, 41, 131 What are the prime factors of 1575? 3, 5, 7 What are the prime factors of 8539? 8539 List the prime factors of 195. 3, 5, 13 List the prime factors of 1471. 1471 List the prime factors of 27151. 19, 1429 List the prime factors of 22909. 31,
{ "pile_set_name": "DM Mathematics" }
*2 - 28*y + 29. -(y - 1)*(y + 29) What is t in -t**3/3 + 16*t**2/3 + t/3 - 16/3 = 0? -1, 1, 16 What is w in w**3/6 - 10*w**2/3 + 37*w/6 - 3 = 0? 1, 18 Factor -2*h**3/7 - 6292*h**2/7 - 4948658*h/7. -2*h*(h + 1573)**2/7 Solve 3*h**3/4 - 21*h**2 + 357*h/4 - 69 = 0 for h. 1, 4, 23 What is p in -p**5 + 6*p**4 + 43*p**3 - 20*p**2 - 108*p + 80 = 0? -4, -2, 1, 10 Factor x**5/10 + 9*x**4/5. x**4*(x + 18)/10 Factor -5*w**5 - 5*w**4 + 5*w**3 + 5*w**2. -5*w**2*(w - 1)*(w + 1)**2 Factor 5*s**3 + 570*s**2 - 1155*s + 580. 5*(s - 1)**2*(s + 116) Solve 12*p**5 - 80*p**4 + 48*p**3 + 384*p**2 - 256*p = 0. -2, 0, 2/3, 4 Find q such that 10*q**4 + 135*q**3 - 380*q**2 + 315*q - 80 = 0. -16, 1/2, 1 Factor 4*i**4/5 - 224*i**3/5 + 768*i**2 - 2560*i - 25600. 4*(i - 20)**3*(i + 4)/5 Determine z, given that -360*z**5 + 2163*z**4 + 3942*z**3 - 21633*z**2 - 35820*z + 300 = 0. -2, 1/120, 5 Suppose 3*g**2 + 5688*g + 2696112 = 0. Calculate g. -948 Find l such that -660*l**5 - 1976*l**4 + 3972*l**3 + 18456*l**2 + 15728*l - 96 = 0. -2, 1/165, 3 Factor 3*b**2/5 + 444*b/5 - 1359/5. 3*(b - 3)*(b + 151)/5 Find w, given that -2*w**5/15 + 58*w**4/15 - 36*w**3 + 280*w**2/3 + 400*w/3 = 0. -1, 0, 10 Factor a**3/9 + 73*a**2/9. a**2*(a + 73)/9 Suppose -g**5/8 + 3*g**4/8 + 27*g**3/4 = 0. Calculate g. -6, 0, 9 Solve -5*k**2 - 6330*k - 2003445 = 0. -633 Factor -6*p**3 - 111*p**2 - 54*p. -3*p*(p + 18)*(2*p + 1) Factor -3*z**4 + 45*z**3 - 189*z**2 + 147*z. -3*z*(z - 7)**2*(z - 1) Find n, given that -3*n**3 - 309*n**2 + 3*n + 309 = 0. -103, -1, 1 Solve -1805*u**2 - 380*u - 20 = 0. -2/19 Let -f**3/4 - 3*f**2/2 - 11*f/4 - 3/2 = 0. What is f? -3, -2, -1 Factor -4*b**3/7 - 372*b**2/7 - 11520*b/7 - 118800/7. -4*(b + 30)**2*(b + 33)/7 Solve -21*i**4/5 + 6*i**3/5 + 336*i**2/5 - 96*i/5 = 0 for i. -4, 0, 2/7, 4 Find v such that 3*v**5/8 + 3*v**4 + 27*v**3/8 - 57*v**2/4 - 15*v = 0. -5, -4, -1, 0, 2 Factor 3*q**3 - 3*q**2 - 168*q. 3*q*(q - 8)*(q + 7) Solve 3*c**5/2 + 39*c**4/2 + 57*c**3/2 - 123*c**2/2 - 138*c - 66 = 0 for c. -11, -2, -1, 2 Find s, given that 6*s**2/19 - 56*s/19 - 40/19 = 0. -2/3, 10 Suppose -18*d**3 + 500*d**2 + 634*d + 116 = 0. What is d? -1, -2/9, 29 Find r such that -r**5 - 6*r**4 - 8*r**3 + 2*r**2 + 9*r + 4 = 0. -4, -1, 1 Suppose 4761*q**3 + 147867*q**2 + 8560*q + 124 = 0. Calculate q. -31, -2/69 Solve -5*r**4 + 745*r**3 - 735*r**2 - 745*r + 740 = 0. -1, 1, 148 What is y in 3*y**2 - 5106*y + 2172603 = 0? 851 Factor q**3/3 - 8*q**2/3 - 20*q/3. q*(q - 10)*(q + 2)/3 What is n in 3*n**3/4 + 336*n**2 + 37632*n = 0? -224, 0 Factor 2*w**2/25 + 428*w/25 - 86/5. 2*(w - 1)*(w + 215)/25 Let -o**2/4 - 11*o/2 + 75/4 = 0. Calculate o. -25, 3 Factor 30*c**3 - 2*c**2. 2*c**2*(15*c - 1) What is p in -3*p**4 + 9*p**3 + 36*p**2 - 60*p - 144 = 0? -2, 3, 4 Let -3*h**2 - 25422*h - 53856507 = 0. What is h? -4237 Determine v, given that 4*v**3 - 996*v**2 + 5868*v - 8748 = 0. 3, 243 Find n, given that -50*n**3/7 - 1340*n**2/7 - 1048*n/7 - 208/7 = 0. -26, -2/5 Factor -85*s**2 + 670*s + 80. -5*(s - 8)*(17*s + 2) Find c such that 3*c**4/7 + 30*c**3/7 + 72*c**2/7 + 66*c/7 + 3 = 0. -7, -1 Factor -25*t**2 - 1885*t - 750. -5*(t + 75)*(5*t + 2) Factor -16*a**3 - a**2. -a**2*(16*a + 1) Factor -6*o**3/7 + 2781*o**2/7 - 45936*o - 161472/7. -3*(o - 232)**2*(2*o + 1)/7 Factor -2*o**2/5 + 4068*o/5 - 2068578/5. -2*(o - 1017)**2/5 Suppose 38*m**2/7 - 12*m/7 = 0. What is m? 0, 6/19 Factor -2*i**2/13 - 12148*i/13 - 18446738/13. -2*(i + 3037)**2/13 Determine c so that -c**3/9 + 52*c**2/9 + 53*c/9 = 0. -1, 0, 53 Find j, given that -3*j**3 - 72*j**2 + 237*j - 162 = 0. -27, 1, 2 Suppose -p**5/5 + 39*p**4/5 - 509*p**3/5 + 489*p**2 - 630*p = 0. Calculate p. 0, 2, 7, 15 Find y, given that 2*y**3 - 292*y**2 + 570*y + 864 = 0. -1, 3, 144 Suppose -3*y**4 - 57*y**3 - 210*y**2 = 0. Calculate y. -14, -5, 0 Suppose -2*x**2 + 12*x + 32 = 0. Calculate x. -2, 8 Let 14*s**2/15 - 10*s + 136/15 = 0. What is s? 1, 68/7 Let -i**3 - 87*i**2 - 336*i - 332 = 0. What is i? -83, -2 What is v in -v**4/6 - 5*v**3/3 - 19*v**2/6 + 5*v = 0? -6, -5, 0, 1 Factor -5*d**3 + 7010*d**2 + 5*d - 7010. -5*(d - 1402)*(d - 1)*(d + 1) Determine p so that -4*p**4 - 16*p**3 + 20*p**2 = 0. -5, 0, 1 Factor 4*x**4 - 390*x**3 + 9408*x**2 + 4802*x. 2*x*(x - 49)**2*(2*x + 1) Factor -27*x**5 + 114*x**4 - 132*x**3 + 24*x**2. -3*x**2*(x - 2)**2*(9*x - 2) What is h in -h**4/4 + 2*h**2 - 4 = 0? -2, 2 Let -2*c**4 + 6*c**3 + 24*c**2 - 104*c + 96 = 0. What is c? -4, 2, 3 Factor 3*l**2/5 + 31644*l/5 + 83445228/5. 3*(l + 5274)**2/5 Solve -x**4/4 + 2*x**3 - 5*x**2/4 - 19*x/2 - 6 = 0. -1, 4, 6 Solve 3*w**4/7 - 3*w**2/7 = 0 for w. -1, 0, 1 Factor g**2/5 + 3*g/5 - 18/5. (g - 3)*(g + 6)/5 Factor 2*x**2/11 - 6*x/11 + 4/11. 2*(x - 2)*(x - 1)/11 Solve -2*p**2/7 - 36*p/7 - 162/7 = 0 for p. -9 Let -3*p**4/7 + 1738*p**3/7 - 251140*p**2/7 - 168200*p/7 = 0. Calculate p. -2/3, 0, 290 Solve -y**4 - 20*y**3 - 19*y**2 = 0. -19, -1, 0 Factor 4*d**2/7 + 2784*d/7 + 484416/7. 4*(d + 348)**2/7 Factor -d**3/2 - 109*d**2/2 + 55*d. -d*(d - 1)*(d + 110)/2 Factor 3*c**2 - 174*c - 1584. 3*(c - 66)*(c + 8) Suppose 5*p**3 + 515*p**2 - 580*p - 6240 = 0. Calculate p. -104, -3, 4 Factor -2*p**3 - 2*p**2 + 18*p + 18. -2*(p - 3)*(p + 1)*(p + 3) Factor -d**3/9 - 10*d**2/9 - 23*d/9 - 14/9. -(d + 1)*(d + 2)*(d + 7)/9 Factor -h**3 - 210*h**2 - 12000*h - 100000. -(h + 10)*(h + 100)**2 Factor 34*m**2/11 + 58*m/11 + 24/11. 2*(m + 1)*(17*m + 12)/11 Suppose 20*j**4 - 143*j**3 + 259*j**2 - 22*j - 24 = 0. What is j? -1/4, 2/5, 3, 4 Suppose 3*o**4 + 204*o**3 + 591*o**2 + 390*o = 0. Calculate o. -65, -2, -1, 0 Suppose -5*c**2 + 215*c = 0. What is c? 0, 43 Solve 2*a**2/11 - 12*a + 928/11 = 0. 8, 58 Determine x so that 4*x**4/5 - 8*x**3/5 - 32*x**2/5 = 0. -2, 0, 4 Solve -2*j**3/9 - 242*j**2/9 - 4240*j/9 - 20200/9 = 0. -101, -10 Solve 3*y**2 + 276*y - 279 = 0. -93, 1 Factor 5*b**4/3 - 85*b**3/3 - 290*b**2/3 - 200*b/3. 5*b*(b - 20)*(b + 1)*(b + 2)/3 Factor -2*p**4 - 2*p**3 + 8*p**2 + 8*p. -2*p*(p - 2)*(p + 1)*(p + 2) Factor 2*l**4/7 + 2*l**3 - 6*l**2/7 - 46*l/7 - 4. 2*(l - 2)*(l + 1)**2*(l + 7)/7 Determine g, given that 2*g**2 - 16*g + 14 = 0. 1, 7 Factor -4*i**4 + 8*i**3 + 12*i**2 - 16*i - 16. -4*(i - 2)**2*(i + 1)**2 Determine p, given that 4*p**2/7 - 54*p - 382/7 = 0. -1, 191/2 Suppose -c**3/4 + c**2 + 7*c/4 - 5/2 = 0. What is c? -2, 1, 5 Factor -3*g**4 + 27*g**3 - 66*g**2 + 96. -3*(g - 4)**2*(g - 2)*(g + 1) Find f such that -2*f**2 + 234*f + 236 = 0. -1, 118 Suppose s**2/4 + 96*s - 193 = 0. Calculate s. -386, 2 Factor 3*w**3/5 - 36*w**2 - 561*w/5 - 378/5. 3*(w - 63)*(w + 1)*(w + 2)/5 Find w such that 5*w**4 + 360*w**3 + 7635*w**2 + 38080*w - 46080 = 0. -32, -9, 1 Factor 4*k**4 - 92*k**3 + 324*k**2 + 3068*k - 6760. 4*(k - 13)**2*(k - 2)*(k + 5) Solve -2*x**4/5 + 6*x**3/5 + 18*x**2/5 + 2*x = 0 for x. -1, 0, 5 Find n, given that 2*n**4/3 - 11420*n**3/3 + 16302050*n**2/3 = 0. 0, 2855 Factor -2*r**2 + 64*r - 224. -2*(r - 28)*(r - 4) Determine r so that -3*r**5 - 9*r**4 + 66*r**3 + 168*r**2 - 288*r - 384 = 0. -4, -1, 2, 4 Solve 2*v**4 - 148*v**3 - 312*v**2 + 592*v + 1216 = 0 for v. -2, 2, 76 Factor 15*p**4 + 117*p**3 - 159*p**2 + 27*p. 3*p*(p - 1)*(p + 9)*(5*p - 1) Factor 3*p**5/7 - 9*p**4/7 - 27*p**3/7 - 15*p**2/7. 3*p**2*(p - 5)*(p + 1)**2/7 Factor 3*s**3/4 + 27*s**2/4 + 15*s + 9. 3*(s + 1)*(s + 2)*(s + 6)/4 Determine j, given that -j**2 + 142*j + 1043 = 0. -7, 149 Let 2*o**2/3 + 14*o - 200/3 = 0. What is o? -25, 4 What is n in -32*n**2 + 1988*n - 248 = 0? 1/8, 62 Solve u**4/4 + 7*u**3/2 - 4*u**2 - 7*u/2 + 15/4 = 0. -15, -1, 1 Suppose 20*p**5 + 115*p**4 - 90*p**3 - 1105*p**2 - 680*p + 240 = 0. What is p? -4, -1, 1/4, 3 Factor 2*h**3/5 + 1312*h**2/5 - 2*h/5 - 1312/5. 2*(h - 1)*(h + 1)*(h + 656)/5 Determine d, given that 2*d**3/9 - 308*d**2/9 + 1208*d/9 - 400/3 = 0. 2, 150 Suppose -2*m**3/7 + 10*m**2/7 - 8*m/7 = 0. What is m? 0, 1, 4 Solve -z**3/4 - 645*z**2/4 - 26082*z - 25921 = 0 for z. -322, -1 Let d**5 - 15*d**4 + 74*d**3 - 110*d**2 - 75*d + 125 = 0. What is d? -1, 1, 5 Factor 2*i**3/7 + 214*i**2/7 + 3366*i/7 + 14418/7. 2*(i + 9)**2*(i + 89)/7 Suppose 3*y**4 - 147*y**3 = 0. Calculate y. 0, 49 Determine g so that g**5 + 29*g**4/3 - 265*g**3/3 - 1205*g**2/3 - 578*g/3 + 112 = 0. -14, -3, -1, 1/3, 8 What is h in 3*h**4/4 + 63*h**3/2 +
{ "pile_set_name": "DM Mathematics" }
(sqrt(441) - (-2*sqrt(441)*6 - sqrt(441))))*4)/(-5*sqrt(315)/sqrt(5)). 52*sqrt(7)/5 Simplify (sqrt(108)*1*4)**2*2 + -2*sqrt(3)*-4 + sqrt(3) + sqrt(192) + sqrt(192) + -2. 25*sqrt(3) + 3454 Simplify 6*sqrt(931)*-2 - ((sqrt(190) + sqrt(190) + -2*sqrt(190))/sqrt(10) + (sqrt(19)*1 + 0 - sqrt(19))). -84*sqrt(19) Simplify (-2*sqrt(77)*1 - sqrt(77) - 5*(sqrt(77) + (sqrt(77) - (sqrt(77) - 1*sqrt(77))) + sqrt(77)))/(1*sqrt(343)*1)*-6. 108*sqrt(11)/7 Simplify 3 + -4 + ((sqrt(144)/(sqrt(30)/sqrt(5)))/(sqrt(120)/(sqrt(10) + sqrt(10)*-2)))**2. 1 Simplify (2*5*((3*sqrt(98) - sqrt(98)) + -4 - (sqrt(98) + -1 + -4)))**2. 1400*sqrt(2) + 9900 Simplify -4*(sqrt(49) + (sqrt(49) - 2*sqrt(196)))/(sqrt(252) - -2*sqrt(252) - sqrt(252)). 2*sqrt(7)/3 Simplify (sqrt(637) + -1*sqrt(637))**2 - (4 + sqrt(13) + sqrt(13)*1) - 1*(sqrt(13) + sqrt(26)/sqrt(2) + 0). -4*sqrt(13) - 4 Simplify (-4*2*sqrt(84)*6)/(sqrt(84)/(sqrt(35)/sqrt(5)) + (2*sqrt(96))/sqrt(8)). -16*sqrt(7) Simplify -5 + 4*-6*-1*(sqrt(5) + ((sqrt(300)/sqrt(5))/sqrt(12))**2). 24*sqrt(5) + 115 Simplify (sqrt(100) + (sqrt(100) - 1*sqrt(100)))/(sqrt(16)/sqrt(8)*-5). -sqrt(2) Simplify ((sqrt(240)/(-1*sqrt(5)))/(sqrt(200)/sqrt(2)) + -1)**2. 4*sqrt(3)/5 + 37/25 Simplify -2*(2 + -2 + sqrt(28) + 4 + sqrt(1372) + sqrt(28)). -36*sqrt(7) - 8 Simplify ((sqrt(140) + (5*sqrt(140)*1 - sqrt(140) - sqrt(140)))/sqrt(5))/(4*(sqrt(4) - sqrt(64)) - (sqrt(4) + (sqrt(4) - sqrt(64))*6)). 4*sqrt(7)/5 Simplify 4 + (-2 + sqrt(36)/sqrt(2) + -4 + ((sqrt(18) - sqrt(18)*-1)*4 - sqrt(18)))**2. -288*sqrt(2) + 1192 Simplify 3*(sqrt(1210) - -1*sqrt(1210))/(sqrt(180) + (sqrt(180) - -1*sqrt(180)) + sqrt(180)) + -4. -4 + 11*sqrt(2)/4 Simplify (2*sqrt(288))/(-1*sqrt(9)*-2) - sqrt(6)/(2*sqrt(3)*1)*4. 2*sqrt(2) Simplify (5*sqrt(128))**2*4 + 1 - (-3 + (sqrt(128) - 1*sqrt(128))**2 - (-1*sqrt(128)*4)**2). 14852 Simplify -2 + 6*(sqrt(4032)*-1 + -1 + sqrt(4032)) + -5. -13 Simplify (1*(sqrt(567) + -1 + sqrt(567) - sqrt(567)) + -2)**2 - ((sqrt(567) - (-1 + sqrt(567)))*-6 - (-4 + sqrt(567)*1)**2). -126*sqrt(7) + 1165 Simplify ((-3 + -3*sqrt(76))*6 + 2)**2. 1152*sqrt(19) + 24880 Simplify ((sqrt(17) + -2 + sqrt(1700))*-6 + 5 + 2)**2. -2508*sqrt(17) + 74413 Simplify (sqrt(135)/(-3*sqrt(54)/sqrt(6)))/(sqrt(405) - ((sqrt(405) - (sqrt(405) + (1*-4*sqrt(405) - sqrt(405))) - sqrt(405)) + sqrt(405))). sqrt(3)/108 Simplify 2 + (6*sqrt(99) + sqrt(44)/(sqrt(8)/sqrt(2)) + 3 + 3)**2. 228*sqrt(11) + 4009 Simplify (((sqrt(132) - -2*sqrt(132)*5) + sqrt(132))/(sqrt(12) + (sqrt(768) - sqrt(48))))**2 - ((sqrt(2816)*2 - sqrt(44)) + -2). -30*sqrt(11) + 1682/49 Simplify (sqrt(80) + -5)**2 - (sqrt(160) + sqrt(10))/sqrt(2) - -3*(4 + (sqrt(5) - sqrt(180))). -60*sqrt(5) + 117 Simplify ((sqrt(15) - (sqrt(15) + (sqrt(1215)*-2 - sqrt(1215)) + sqrt(15) + sqrt(15)))*-6)/((sqrt(5) - sqrt(80)*-1)*5). -6*sqrt(3) Simplify (-3 + sqrt(1100) + (sqrt(1100) + -2)**2 - sqrt(1100)) + 5 + -1*sqrt(1100). -50*sqrt(11) + 1106 Simplify -3 + (5 + 6*sqrt(15)/(sqrt(12)/sqrt(4)))**2*-2. -413 - 120*sqrt(5) Simplify (-2*sqrt(99)*-2 + -2*sqrt(99)*-6 + sqrt(99) + sqrt(99))/((sqrt(1296)*1)/sqrt(4)). 3*sqrt(11) Simplify ((-4*1*sqrt(100) + sqrt(100))/(sqrt(495)/sqrt(11) + -1*sqrt(125)))**2. 45 Simplify -6*(0 + (sqrt(14)*-2*5)/sqrt(7))*-2. -120*sqrt(2) Simplify 2 + sqrt(204)/(-3*sqrt(48)/sqrt(4)) + 5. -sqrt(17)/3 + 7 Simplify (sqrt(102)*4*-6)/(sqrt(66)/(3*sqrt(11))). -72*sqrt(17) Simplify (1 + 0 + sqrt(252) + (4 + sqrt(252) - sqrt(252)) + sqrt(252) + 3)**2. 192*sqrt(7) + 1072 Simplify 5*(-4 + (sqrt(2448) - (sqrt(2448) - (2 + sqrt(2448)*-2)) - sqrt(2448)) + 4)**2*-3. -330540 + 2160*sqrt(17) Simplify 5 + 5*((sqrt(117) - (sqrt(117) - (-1*sqrt(117) + sqrt(117))))*-5)/sqrt(9). 5 Simplify 5 + (-6*(sqrt(99)*-1 - sqrt(99)))/((-1*sqrt(27))/sqrt(3)). -12*sqrt(11) + 5 Simplify (-5*sqrt(475)*-1*-4*-5)**2. 4750000 Simplify -5 + (sqrt(14)/sqrt(2))**2 + -1 + -2 + -1*sqrt(7) + ((2*sqrt(63))/sqrt(9) - sqrt(112)/sqrt(4))**2. -sqrt(7) - 1 Simplify 2*(sqrt(832)*3 + sqrt(832)) + ((sqrt(130) - sqrt(130)*2)*-3 + sqrt(130))/sqrt(10). 68*sqrt(13) Simplify -2*(sqrt(8)/sqrt(4) + -1) + (sqrt(6)/sqrt(3) - sqrt(2))*-4*3. -2*sqrt(2) + 2 Simplify (1 + -2*(-1 + 4*sqrt(2299))*5*-1)**2. -7920*sqrt(19) + 3678481 Simplify (4*(sqrt(2057) + -1 + sqrt(2057))*3*-1)**2. -6336*sqrt(17) + 1184976 Simplify -4 + -5 + (-4 + sqrt(1900) + sqrt(1900))**2 + (6*(sqrt(1900) - (sqrt(1900) + sqrt(1900)*-1)) + 5*1*sqrt(1900))**2. -160*sqrt(19) + 237507 Simplify ((-3*(sqrt(448) - (sqrt(448) + (-2*sqrt(448) - sqrt(448)))))/((((sqrt(240) - sqrt(240)*4) + sqrt(240))/sqrt(6))/sqrt(10)))**2. 2268 Simplify (1 + (sqrt(275)*-1 - sqrt(11)))**2 + 2*sqrt(44)*-3. -24*sqrt(11) + 397 Simplify (2 + sqrt(1088))*1 + 1 - (1*(sqrt(1088) + -2)**2 + 0 + sqrt(1088) + (-2*sqrt(1088) - sqrt(1088))). -1089 + 56*sqrt(17) Simplify 0 + 4*((-2 + sqrt(11))**2 + 4) + 5. -16*sqrt(11) + 81 Simplify (3*sqrt(19)*-1 + 1 + sqrt(2736) + 2 + -1)**2. 36*sqrt(19) + 1543 Simplify 4*(-2 + (-3*sqrt(252) + 4 - sqrt(252) - sqrt(252)*-4*4))**2. 1152*sqrt(7) + 145168 Simplify 3 + ((-2*(sqrt(425) + sqrt(17)) - sqrt(17)) + sqrt(17) + -1 + (sqrt(17) - sqrt(34)/sqrt(2)))**2*1*6. 144*sqrt(17) + 14697 Simplify (sqrt(130) - (-1*sqrt(130)*-5 + sqrt(130)) - sqrt(130))/(sqrt(80)/(sqrt(8)*-2)). 12*sqrt(13) Simplify (sqrt(91)*1*-5 + -6*sqrt(91)*2)/(-4*1*sqrt(7)*-4). -17*sqrt(13)/16 Simplify 0 + sqrt(22)/sqrt(2) + -5 + 4 - ((sqrt(110)/(sqrt(50)/sqrt(5)))**2 - (1*(sqrt(11) - sqrt(22)/sqrt(2)))**2). -12 + sqrt(11) Simplify (1 + (sqrt(19) + (sqrt(228)*2)/sqrt(12) + 4 - sqrt(228)/sqrt(48)*-3))*5. 25 + 45*sqrt(19)/2 Simplify (-1 + (sqrt(693) + sqrt(693)*2)/sqrt(11) + -3 + -4)**2 + -5. -144*sqrt(7) + 626 Simplify 5*3*(2 + sqrt(147) + -2*(-2 + sqrt(147) - sqrt(147)))**2. 1260*sqrt(3) + 2745 Simplify (sqrt(11) - sqrt(22)/sqrt(18))*3 - (sqrt(704) - (4 + sqrt(704) + sqrt(704)*-3)). -22*sqrt(11) + 4 Simplify (sqrt(486) + -2*sqrt(486) + sqrt(486) - sqrt(486))/(-4*sqrt(3)*4)*-1. -9*sqrt(2)/16 Simplify (1 + (-6*sqrt(19)*-2 - (sqrt(19) + -4 + 5)))**2. 2299 Simplify -1 + sqrt(8)/sqrt(144) - (6*(sqrt(8))**2 - (sqrt(242) - (0 + sqrt(242)))**2). -49 + sqrt(2)/6 Simplify -3 + 2 + ((1*sqrt(486))/sqrt(2) - (-5*(sqrt(3) + 1 + sqrt(3))*3)**2). -2926 - 891*sqrt(3) Simplify 1*(2*sqrt(720)*-1)**2 - -4*(sqrt(720) - (2*sqrt(720) + sqrt(720) + 0 - sqrt(720))). -48*sqrt(5) + 2880 Simplify (1*2*(-3*2*sqrt(425) + (sqrt(425) + 1)*4)*-2)**2. -1280*sqrt(17) + 27456 Simplify ((sqrt(175) + (sqrt(175) - sqrt(175)*4))*3 + 3 + -2)**2. -60*sqrt(7) + 6301 Simplify (sqrt(78)/(2*2*sqrt(2) - sqrt(2)))/(-3*sqrt(30)/sqrt(160)). -4*sqrt(13)/9 Simplify ((-1 + sqrt(425) + 2 + -1)*-3)**2 + 3. 3828 Simplify (sqrt(891) + -3)*-6 - (sqrt(704)*1 + 3). -62*sqrt(11) + 15 Simplify (-2 + (((1*sqrt(832) + sqrt(832))*4 - (0 + sqrt(832) + 0)) + 3)**2)*-2. -81550 - 672*sqrt(13) Simplify ((sqrt(121)*1*1 - (sqrt(121)*-1*2 + sqrt(121)))/(5*sqrt(11)*-1 - (sqrt(704) - -2*sqrt(704))))**2*4. 176/841 Simplify (((1*sqrt(260) + sqrt(260))/sqrt(10) - sqrt(26)) + (-2*sqrt(286))/sqrt(11))/(sqrt(64)/(sqrt(2)*-1) - sqrt(32)) + -4. -4 + sqrt(13)/8 Simplify ((sqrt(2112)*-2 + sqrt(2112))*4)/(-6*-1*sqrt(300) + sqrt(300)). -16*sqrt(11)/35 Simplify 4 + (2*2*sqrt(1088))**2 + -2 + (sqrt(17) + sqrt(153)/sqrt(144) - (-1*sqrt(102))/sqrt(6)). 9*sqrt(17)/4 + 17410 Simplify (sqrt(2) - (sqrt(2) + (sqrt(8)/sqrt(4))**2 + sqrt(2)))*6 + -1 + sqrt(162) - (sqrt(144)*1)/sqrt(8). -13 Simplify (2*sqrt(5)*-2 - ((0 + sqrt(5) - sqrt(5)) + sqrt(5) + 3)) + sqrt(100)/sqrt(5) + -2*sqrt(125). -13*sqrt(5) - 3 Simplify (sqrt(28) - ((sqrt(112) - (sqrt(112) + 2)) + sqrt(112)) - 3*((sqrt(175))**2 + 0)) + -1. -524 - 2*sqrt(7) Simplify 3 + ((sqrt(306)*-3 + sqrt(306) + sqrt(306) + sqrt(306) - sqrt(306)) + sqrt(306))/sqrt(2) + 2 + sqrt(612) + sqrt(612) + -2. 3 + 12*sqrt(17) Simplify ((sqrt(112)/sqrt(7))/sqrt(8) + 1 + sqrt(16)/sqrt(8) + 5)**2. 24*sqrt(2) + 44 Simplify ((sqrt(77) - 1*(sqrt(77) + sqrt(77)*3))*-5)/(sqrt(28)*-6 + -1*sqrt(448)). -3*sqrt(11)/4 Simplify -3 + ((2 + sqrt(153) + 5 - ((sqrt(153) - sqrt(153)*-2) + 0)) + 1)**2. -96*sqrt(17) + 673 Simplify -6*((sqrt(5) - sqrt(125)) + 0)*-3 + 0. -72*sqrt(5) Simplify (-2*((-2*-1*sqrt(19) - (sqrt(76) + -3*sqrt(76))/sqrt(4)) + -2))**2. -64*sqrt(19) + 1232 Simplify ((sqrt(25) + (sqrt(25) - sqrt(275)/sqrt
{ "pile_set_name": "DM Mathematics" }
vative of -3*m**4/8 - m**3/3 + 1108*m**2. Let j(a) = a. Calculate d(p) + 6*j(p). -3*p - 2 Suppose 2*t = -2*v - 6 - 8, -4*t - v = 22. Let h(a) = -2*a**3 + 5. Let r(f) = 1 + 4*f**3 - 8*f**3 - 2 + 5*f**3. Calculate t*r(b) - h(b). -3*b**3 Let b(y) = 1692005*y. Let u(k) = 13869*k. Give -2*b(w) + 245*u(w). 13895*w Let r(q) = -q**2. Let x be (((-48)/(-14))/4)/((-1)/(-7)). Let t(a) = -27 - 4*a - a**3 + a**3 + 26 + a**3 - x*a**2. Calculate 6*r(y) - t(y). -y**3 + 4*y + 1 Let z(k) = 99*k**2 + 59*k + 11. Let v(m) = 25*m**2 + 15*m + 3. Determine -23*v(f) + 6*z(f). 19*f**2 + 9*f - 3 Let c(s) = 2*s. Let p = -9 - -6. Let o(q) = 7*q**2 - 8*q**2 + 1 - q - 2*q + 2*q**2. Suppose 2*g + 2*g = -4*y - 20, 12 = -4*y. Calculate g*o(i) + p*c(i). -2*i**2 - 2 Let t(m) = -7*m - 6*m - 5 - 2*m**3 + 9*m**3 + 5*m**2. Let i be (-1044)/72 + 209/22. Let q(p) = -4*p**3 - 3*p**2 + 7*p + 3. Determine i*q(r) - 3*t(r). -r**3 + 4*r Let j(l) = 236*l**2 - 4*l + 410. Let x(a) = 236*a**2 - 5*a + 510. What is 5*j(o) - 4*x(o)? 236*o**2 + 10 Let t(b) = -8*b**3 - 12*b**2 - b + 1. Let y(k) = -7*k**3 - 10*k**2 - 4*k + 1. Give -6*t(x) + 7*y(x). -x**3 + 2*x**2 - 22*x + 1 Suppose -r - 8 = -0*r. Let v(i) = -6*i - 5. Let s be 1 - (0 - -2)*-386. Let d = s - 776. Let g(h) = 17*h + 14. Calculate d*g(l) + r*v(l). -3*l - 2 Suppose 17*m = -40*m + 171. Let n(k) = -143*k**2 + 26*k. Let d(x) = 16*x**2 - 3*x. Determine m*n(h) + 26*d(h). -13*h**2 Let o(x) = 56*x**2 + 15*x + 11. Let f(l) = 11*l**2 + l + 1. What is 6*f(u) - o(u)? 10*u**2 - 9*u - 5 Let a(h) be the first derivative of 8*h**3/3 + 5*h + 2643. Let c(z) = 40*z**2 + 24. What is -24*a(o) + 5*c(o)? 8*o**2 Let p(c) = 2*c**3 + c**2 - 24*c - 37. Let v be p(-2). Let k(a) = -a - 1. Let b(m) = 2*m + m - 6 - 5*m. Give v*b(u) + 3*k(u). -u + 3 Let h(c) = 4*c - 14. Let n(o) = 15 + 923*o + 912*o - 1824*o - 56. Give -17*h(k) + 6*n(k). -2*k - 8 Let w be (-5445)/(-2310) + 1/7*1. Let x(y) be the second derivative of -48*y - w*y**2 + 0 + 1/2*y**3. Let n(j) = -1. Determine 6*n(z) - x(z). -3*z - 1 Let s(r) = 69175*r - 35. Let o(t) = -7687*t + 4. Calculate -35*o(d) - 4*s(d). -7655*d Let l(j) = 13*j**3 - 19*j**2. Let c(w) = -13*w**3 + 20*w**2. Calculate -2*c(z) - 3*l(z). -13*z**3 + 17*z**2 Let p be (-224)/40 + 34/(-85). Let k(c) = c + 1. Let s(w) = -w - 6. Determine p*k(z) - s(z). -5*z Let s(y) = -3*y + 2. Let a(i) = 53*i - 25. What is -a(t) - 3*s(t)? -44*t + 19 Let g(x) = -12*x + 97. Let s(v) = 59*v - 570. Give 19*g(q) + 4*s(q). 8*q - 437 Let m(i) = -35*i**3 - 28*i**2 + 28*i. Suppose -10*f + 17 = -263. Let s(d) = 4*d**3 + 3*d**2 - 3*d. Determine f*s(r) + 3*m(r). 7*r**3 Let v(z) = -1123*z**2 - 132*z + 19. Let j(y) = 562*y**2 + 61*y - 9. Determine -13*j(q) - 6*v(q). -568*q**2 - q + 3 Let n(o) = o - 1. Let p(j) = 488*j - 1 - 238*j - 252*j. Let d = 79 + -78. What is d*p(c) + 4*n(c)? 2*c - 5 Let k(b) = -3*b + 1. Let p(f) = -47*f + 111. Determine -3*k(c) + p(c). -38*c + 108 Let d(c) be the first derivative of -3*c**2/2 + c + 1. Let w = -45 + 46. Let i be d(w). Let g(o) = 3*o + 3. Let b(p) = -4*p - 4. Calculate i*b(q) - 3*g(q). -q - 1 Suppose -x + 30 = 98*b - 93*b, 25 = -5*x. Let t(q) = 11*q - 4. Let k(d) = -10*d + 3. Determine b*k(j) + 6*t(j). -4*j - 3 Let u(t) = -38*t**3 + 33*t**2 + 9*t - 158. Let c(k) = 19*k**3 - 15*k**2 - 4*k + 76. Determine 9*c(f) + 4*u(f). 19*f**3 - 3*f**2 + 52 Let r be 0 + (-42)/7 + 22. Suppose 0 = -4*i + 8 + r. Let p(d) = 4*d - 11. Let g(h) = -h + 1. Determine i*g(w) + p(w). -2*w - 5 Let x(n) = 167. Let f(q) = -37. Let c(a) = -9*f(a) - 2*x(a). Let v(g) = 2*g + 6. Let u be (-1)/2*-4 - 1. Let p be 7/7*(0 - u). What is p*v(m) - 4*c(m)? -2*m - 2 Let u(y) = -5*y**3 - 23*y**2 + 27. Let j(r) = 9*r**3 + 47*r**2 - 55. Determine 6*j(v) + 11*u(v). -v**3 + 29*v**2 - 33 Let z(d) = 1. Let q(o) = 5*o**2 + 5. Suppose 26*x - 18*x - 176 = 0. Suppose 6 = -23*h + x*h. What is h*z(k) + q(k)? 5*k**2 - 1 Let s(g) = -2*g - 3. Let t(m) be the second derivative of -m**3 - 4*m**2 + 206*m - 19. Let i be ((-33)/6)/((-1)/2). What is i*s(b) - 4*t(b)? 2*b - 1 Let j(t) = -2*t**2 - 48*t - 12422. Let z(i) = -2*i**2 - 56*i - 12421. Give -7*j(g) + 6*z(g). 2*g**2 + 12428 Let f(u) = -11342*u + 2675. Let k(t) = -14*t + 5. What is -2*f(m) + 1070*k(m)? 7704*m Let f(x) = -4*x - 4. Let q(l) = -l**2 - 3*l - 3. Suppose 2*p + 40 = -2*s + 52, -3*s = 4*p - 21. Determine s*q(u) - 2*f(u). -3*u**2 - u - 1 Let i(b) = -7*b + 51 + 14 - 19*b - 55*b**2 - 81*b + 42*b. Let x(q) = 5*q**2 + 6*q - 6. Let s = 16 + -10. Calculate s*i(m) + 65*x(m). -5*m**2 Let i(b) = -19*b - 11. Suppose 0*z + 14 = 4*g - 2*z, 4 = -g + 2*z. Let u = -486867 + 486854. Let v(l) = -9*l - 5. Determine g*i(x) + u*v(x). 3*x - 1 Let b(p) = 5*p**2 - p. Let c(l) = 32*l**2 - 6*l - 749. What is 6*b(q) - c(q)? -2*q**2 + 749 Let q(r) = -39*r + 15*r + 24*r - 4*r**3 - 4*r**2. Let s(m) be the second derivative of -m**4/12 + 165*m. Give -q(t) + 4*s(t). 4*t**3 Let t(k) = -2*k**2 + 7*k. Suppose 415*l + 868 = -1207. Let b(d) = -2*d**2 + 7*d. Calculate l*b(a) + 4*t(a). 2*a**2 - 7*a Let m(v) = -v**3 + v - 3. Let s = -788104 + 788106. Let u(h) = -h + 4. Let r be u(5). Let i(x) = x. Calculate r*m(t) + s*i(t). t**3 + t + 3 Let c(r) = r - 4. Let o(k) = 0*k**2 + 1 + 4*k + k**2 - 3*k. Let h be ((-23)/69)/((-7)/(-21)). Give h*c(q) + o(q). q**2 + 5 Suppose f + 9 = -4*u + 6*f, 4*u = -f - 3. Let d(m) = -m + 1. Let t(w) = -1. Suppose 4*j = s - 19, -j - 4 = 5*s + 6. Determine s*d(b) + u*t(b). b Let m(g) = -24*g**3 - 5*g**2 - 6*g - 74. Let v(n) = 4*n**3 + n**2 + n + 1. What is -m(i) - 5*v(i)? 4*i**3 + i + 69 Let f(s) = 2*s**2 + 2*s - 2. Let j(b) = -55*b**2 - 7*b - 10. Calculate -4*f(o) - j(o). 47*o**2 - o + 18 Let m(f) = 9*f**2 + 18*f + 514. Let v(y) = 8*y**2 + 15*y + 513. What is 5*m(d) - 6*v(d)? -3*d**2 - 508 Let a(m) = -9*m + 5. Let v(c) = -8*c + 4. Suppose 0*x + 5*j = 2*x + 28, 2*x + 5*j = -28. Let h = x + 20. What is h*a(p) - 7*v(p)? 2*p + 2 Let t(p) = -p**3 - 564*p**2 + 4*p + 3. Let b(y) = -3*y**3 - 1696*y**2 + 11*y + 8. Give 4*b(l) - 11*t(l). -l**3 - 580*l**2 - 1 Suppose 4*n - 21 = -3*f, 4*f - 5 - 13 = -2*n. Let d(j) = -2 + 1 + 0 + 2 - n*j. Let p(u) = -3*u + 1. Determine 6*d(r) - 7*p(r). 3*r - 1 Let d(o) be the second derivative of -o**4/4 + 7*o**3/6 + 5*o**2/2 + 154*o + 1. Suppose 20 - 35 = 3*m. Let h(c) = -c**2 + 3*c + 2. What is m*h(t) + 2*d(t)? -t**2 - t Let r(j) = j**3 + j - 6. Let k(q) = -3*q**3 + 2*q**2 - 23. Determine -k(s) + 4*r(s). 7*s**3 - 2*s**2 + 4*s - 1 Let u(r) = -239*r**3 + 40*r**2 - 39*r. Let y(h) = 120*h**3 - 24*h**2 + 19*h. Calculate 3*u(n) + 5*y(n). -117*n**3 - 22*n Let o(p) = 55*p**2 + 35*p. Suppose -34*x - 74*x + 189 + 135 = 0. Let u(b) = b**2 + b. Give x*o(k) - 105*u(k). 60*k**2 Let r(t) = -t + 9. Let x(i) = -i**2 + 233*i - 82. Give -9*r(g) - x(g). g**2 - 224*g + 1 Let o(n) = -n. Let g(j) be the second derivative of j**3/2 - j**2/2 + 3*j - 2. Let q be ((-30)/(-9) - 4)/(2/(-3)). Determine q*g(k) + 2*o(k). k - 1 Let i(x) = -x**2 + x + 1. Let h(s) = s**3 + 5*s**2 - 5*s - 16. Let w = 97 - 96. What is w*h(u) + 5*i(u)? u**3 - 11 Let k(v) = -v**3 - v**2 - v - 1. Let x be ((-357)/(-105))/17*-5. Let d(y) = 3*y**2 - y - 3. What is x*d(g) - 2*k(g)? 2*g**3 - g**2 + 3*g + 5 Let z(o) = 13*o - 44. Let u(k) = -55*k + 176. Give -2*u(r) - 9*z(r). -7*r + 44 Let o(k) = -17*k**2 + 1472*k + 32. Let y(b) = -3*b**2 + 295*b + 6. Calculate 2*o(c) - 11*y(c). -c**2 - 301*c - 2 Suppose 76*w - 16*w = -60. Let o(q) = -q - 1. Let f(g) = 20*g**2 + 40*g + 40. What is w*f(j) - 40*o(j)? -20*j**2 Suppose 0 = -528*v + 97*v + 431. Let c(s) be the third derivative of -s**4/12 - s**3/6 + 3*s**2. Let f(a) = a + 1. Calculate v*c(w) + 4*f(w). 2*w + 3 Let t(y) = -2*y**3 - y**2 - 375*y + 9. Let p(x) = -4*x**3 - 2*x**2 - 749*x + 15. What is 3*p(r) - 5*t(r)? -2*r**3 - r**2 - 372*r Let t(p) = -p + 1. Let l be t(-5). Let g(n) = -8*n + 2. Suppose 48 - 146 = -78*c - 34 + 326. Let u(o) = 8*o - 2. What is c*g(v) + l*u(v)? 8*v - 2 Let l(i) = 33*i**2 + 5*i - 5. Let k(x) = 320*x + 49*x**2 + 4 - 159*x - 6 - 153*x - 6. Give 5*k(w) - 8*l(w). -19*w**2 Let q(o) = 1687*o + 94*o**2 - 16 + 1695*o + 1687*o - 5064*o. Let v(w) = -19*w**2 - w + 3. Determine -2*q(p) - 11*v(p). 21*p**2 + p - 1 Let j(l) = -17*l**2 - 6*l - 5. Let h(y) = -46*y**2 - 19*y + 2. Let x(o) = 44*o**2 + 20*o - 10. Let v(r) = 3*h(r) + 2*
{ "pile_set_name": "DM Mathematics" }
t h? 111720*h**2 Let t(z) be the first derivative of -2168*z**3/3 - 9*z**2/2 - 149*z + 2008. What is the second derivative of t(o) wrt o? -4336 Let s(l) be the first derivative of -204 - 17*l**3 - 209*l + 11*l**3 + 33*l**3 - 5. What is the derivative of s(f) wrt f? 162*f Let c(f) be the third derivative of 17/6*f**5 + 0*f + 0*f**4 - 1 + 11/24*f**6 + 0*f**3 - 76*f**2. What is the third derivative of c(d) wrt d? 330 What is the second derivative of 16*y + 183*y**3 + 10*y**2 - 98 - 6*y**2 - 99 + 233 wrt y? 1098*y + 8 Let o(d) = 3*d**2 + 4*d - 2. Let w(q) = 1631*q**2 - 3114*q + 10. Let r(i) = -5*o(i) - w(i). Find the second derivative of r(u) wrt u. -3292 Let v(s) be the third derivative of 122*s**4 - 245*s**3/6 - 4407*s**2. Differentiate v(d) wrt d. 2928 Let a(i) be the third derivative of 13*i**7/210 + 41*i**6/30 + i**5/30 - 229*i**4/24 - 2*i**3/3 - 959*i**2. Find the third derivative of a(p) wrt p. 312*p + 984 Let a = 91 + 29. Let x be (4 - a/25)*-5. What is the second derivative of -18*w - 24*w**3 + 24*w**3 - 36*w**x wrt w? -432*w**2 Let b(i) be the second derivative of 997*i**4/4 + 1371*i**2 - 2950*i. Differentiate b(w) wrt w. 5982*w Let j(z) be the second derivative of 0 + 0*z**5 + 0*z**3 + 73*z + 181/30*z**6 + 0*z**2 - 7/4*z**4. Find the third derivative of j(c) wrt c. 4344*c Let t(q) be the second derivative of -43/42*q**7 - 61*q + 0*q**2 + 0*q**3 + 41/6*q**4 + 0*q**5 + 0*q**6 + 0. What is the third derivative of t(s) wrt s? -2580*s**2 Let m(s) be the first derivative of 3*s**6/2 - 29*s**4/4 - 314*s**3/3 - 2*s - 1246. What is the third derivative of m(h) wrt h? 540*h**2 - 174 Suppose -126 + 426 = 3*j. What is the first derivative of -26*t + t - 72*t - j wrt t? -97 Let j be -3 - (60/(-5) + 2). Let g(v) be the first derivative of -j - 12*v - 15/2*v**2. Differentiate g(q) with respect to q. -15 Let q(g) be the second derivative of -1/4*g**4 + 10*g + 0*g**5 + 1/3*g**3 - 23/14*g**7 + 0*g**2 - 2 + 0*g**6. What is the third derivative of q(r) wrt r? -4140*r**2 Let d(w) be the first derivative of -2681*w**4/4 + 3*w**2 + 75*w - 1177. What is the second derivative of d(g) wrt g? -16086*g Let d(w) be the first derivative of 0*w**2 - 32 + 31/5*w**5 + 0*w**4 + 74/3*w**3 - w. What is the third derivative of d(r) wrt r? 744*r Let c = 56 - 55. What is the second derivative of -c - 2 - 44*o**2 + 31*o - 47*o + 5 wrt o? -88 Let n(i) be the second derivative of -33/2*i**2 + 24*i**3 + 2*i - 21. What is the derivative of n(a) wrt a? 144 Suppose v + 9 = -0*v - 4*f, 4*f = 3*v - 5. Let n be (-10)/5 + 7 + (v - 2). What is the second derivative of -18*t - 20*t**2 + 34*t**5 + t**2 + 19*t**n wrt t? 680*t**3 Let l(q) be the third derivative of -q**4/24 + q**3/6 - 23*q**2. Let o be l(-1). What is the third derivative of g**3 + 3*g**o - 8*g**3 - 7*g**3 + 5*g**2 wrt g? -84 Let d(c) be the first derivative of 2563*c**3/3 - 632*c + 689. Find the first derivative of d(n) wrt n. 5126*n Let r(x) be the third derivative of 0 - 3*x + 263/60*x**5 + 0*x**3 - 41*x**2 + 103/24*x**4. What is the second derivative of r(h) wrt h? 526 Let o(v) be the second derivative of 74*v**8/7 + 346*v**4/3 - 69*v - 13. What is the third derivative of o(u) wrt u? 71040*u**3 Let i(z) = -2904*z**2 - 255*z + 2. Let s(j) = 11611*j**2 + 1019*j - 9. Let x(h) = 9*i(h) + 2*s(h). Find the second derivative of x(b) wrt b. -5828 Let w(v) be the third derivative of -v**9/252 + 71*v**6/120 + v**5/30 + 25*v**3/6 - 1130*v**2. Find the third derivative of w(s) wrt s. -240*s**3 + 426 Let i = 179 + -121. What is the second derivative of -31*h - 28*h**2 + 28*h**2 - 29*h + i*h**5 wrt h? 1160*h**3 Suppose 2*o - 884 = 4*d, 16*o = 14*o - 2*d + 914. Differentiate o*t**3 + 233 - 77 - 663*t**3 wrt t. -633*t**2 Let w(p) be the second derivative of 0*p**4 - 223/20*p**5 + 130/3*p**3 + 7*p + 0*p**2 + 18. What is the second derivative of w(l) wrt l? -1338*l Let r(h) be the third derivative of -h**7/210 + 991*h**6/120 + 23*h**5/60 + h**4/8 + h**3/6 + 1430*h**2. Find the third derivative of r(u) wrt u. -24*u + 5946 Let w(q) = -4*q + 4. Let p be w(-4). Suppose -r + 0 - 1 = -b, 4*r + 4*b = p. What is the second derivative of 236*n**2 + 6*n - r + 2 - 226*n**2 wrt n? 20 Let g(t) = -9*t + 7. Let p(o) = -5*o + 3. Let r(q) = 4*g(q) - 7*p(q). Let d be r(5). Find the second derivative of 3*f + 0*f**2 - 2*f - 6*f + d*f**2 wrt f. 4 Suppose 2 = -3*z - 4*a - 3, -3*z + 40 = -5*a. What is the third derivative of -15*s**5 + 59*s**5 + 2*s**z - 111*s**2 wrt s? 2760*s**2 Suppose -14*x = -5*x - 18. What is the third derivative of -2*p**5 - 55*p**x - 5*p**4 - p**4 + 3*p**4 - p**5 wrt p? -180*p**2 - 72*p Let z(f) be the second derivative of -98*f**6/15 - f**4/6 - 8065*f**2/2 - 753*f. Differentiate z(r) with respect to r. -784*r**3 - 4*r Let l(u) = 9*u + 13. Let y(g) = -10*g - 14. Let t(v) = -5*l(v) - 4*y(v). Let x be t(-5). What is the third derivative of -x*r**3 - 6*r**2 + 20 - 20 wrt r? -96 Find the third derivative of 73168*j**6 + 8*j + 7*j**3 - 73273*j**6 - 8*j + 4768*j**2 wrt j. -12600*j**3 + 42 Let s(a) = 15*a + 41. Let v(w) = -w**2 - 4*w + 3. Let f be v(-3). Let m(j) = 22 + f*j + 16 + 4*j - 11. Let t(i) = 7*m(i) - 5*s(i). Differentiate t(z) wrt z. -5 Let w = -29 - -32. What is the third derivative of -7*c**3 + 5*c**3 + 2*c**6 - 27*c**w - 22*c**2 wrt c? 240*c**3 - 174 Suppose -2*n = -4*j, j = -0*n - 5*n + 22. Suppose 0*u - j = -u. Find the third derivative of 3*w**u - 19*w**2 + 13*w**6 - 5*w**2 wrt w. 1560*w**3 Let o(v) be the first derivative of 2776*v**5/5 - 1681*v**2 + 2667. Find the second derivative of o(k) wrt k. 33312*k**2 Let f(x) = -x - 105. Let k(p) = -7794*p - 4062. Let u(d) = 2*f(d) + k(d). Find the first derivative of u(c) wrt c. -7796 Find the third derivative of 291*v**6 - 874*v**2 - 3*v**4 + 3*v**4 - v**5 + 2505*v**2 - 14*v**6 wrt v. 33240*v**3 - 60*v**2 Let s(j) = -7*j - 19. Let r be s(-3). Find the second derivative of -61*v**2 + 2 - r*v - 93*v - 2 wrt v. -122 Let x(f) be the second derivative of 1/6*f**3 + 0*f**4 + 0 - 1/20*f**5 - 61*f - 121/2*f**2. Find the first derivative of x(u) wrt u. -3*u**2 + 1 Let y(r) be the third derivative of 1/40*r**6 - 1/60*r**5 - 22*r - r**4 + 0 - r**2 - 1/6*r**3. Find the second derivative of y(k) wrt k. 18*k - 2 Let r(y) = -6112*y**2 + 480*y - 4. Let l(u) = 3052*u**2 - 239*u + 2. Let k(f) = 13*l(f) + 6*r(f). Find the second derivative of k(p) wrt p. 6008 Suppose -6*a + 3*a - 3*x = -144, a = x + 52. Find the third derivative of -a*v**3 + 2 - 9*v**2 + 106*v - 106*v wrt v. -300 Let x(z) be the third derivative of -9 + 0*z + 5*z**2 + 0*z**6 + 5/24*z**4 + 1/12*z**5 - 67/105*z**7 + 0*z**3. What is the third derivative of x(y) wrt y? -3216*y Let h be (0 + 1/2)/(14/6552). Find the second derivative of -18*v + 12 - 12 - h*v - 310*v**2 + 62*v**2 wrt v. -496 Let b(u) = -32*u**4 - 2*u**2 - 1714*u + 2. Let p(d) = d**4 + d**3 - d**2 - 2*d + 1. Let a(i) = b(i) - 2*p(i). What is the second derivative of a(s) wrt s? -408*s**2 - 12*s Let d(a) be the second derivative of 775*a**8/28 - 551*a**4/12 + a**2 - 1313*a. What is the third derivative of d(w) wrt w? 186000*w**3 Let v be ((-11)/6*4)/((-82)/123). Suppose 34 + 10 = v*i. Find the third derivative of -6*p**2 - 8*p**2 + i*p**2 + 8*p**4 - 9*p**2 wrt p. 192*p Differentiate 52 - 817 - 399*w**3 + 1250*w**3 wrt w. 2553*w**2 Find the second derivative of -236*w - 1159*w - 3835*w**2 + 2689*w**2 wrt w. -2292 Let q(d) be the second derivative of d**6/5 - d**5/20 - d**4/12 - 3771*d**2/2 - 5861*d. Find the first derivative of q(f) wrt f. 24*f**3 - 3*f**2 - 2*f Let w(x) = 8818*x**3 - 8*x**2 + 4429*x. Let q(d) = -35273*d**3 + 35*d**2 - 17726*d. Let l(z) = 2*q(z) + 9*w(z). Find the third derivative of l(j) wrt j. 52896 Let l(z) be the first derivative of 1431*z**4/4 + 5*z**3/3 + 355*z - 1553. Find the third derivative of l(o) wrt o. 8586 Let j be (2/(-4) - 0)/((-1)/6). Find the second derivative of -27*l**3 - 59*l - 16*l**3 - 47*l**3 + 32*l**j wrt l. -348*l Let v be 16/64 - 286/(-8). What is the third derivative of 44*z**6 - v*z**6 - 6 + 2*z**2 + 3 wrt z? 960*z**3 Let f(m) be the third derivative of -1271*m**6/12 + 1725*m**4/4 - 2021*m**2 + 2. Find the second derivative of f(j) wrt j. -76260*j Let y be 348/108 + 6/(-27). Suppose 9 = -f + 4*f. What is the second derivative o
{ "pile_set_name": "DM Mathematics" }
mmon divisor of u and 132? 6 Let y = -129 + 129. Let w be (1*(y - 1))/(10/(-110)). What is the highest common factor of w and 11? 11 Suppose s = 6*s - 440. Let p be (-6)/(-15) + 76/10. Calculate the highest common divisor of p and s. 8 Let b = 28 + 57. Let l(i) = 4*i**3 + 117*i - 232. Let v be l(2). What is the greatest common factor of v and b? 17 Suppose -p + 534 = 11*r - 6*r, -2*p + 5*r + 1098 = 0. Calculate the greatest common divisor of 64 and p. 32 Let k = 171 - 149. Let j be 11/(-2 + 10/4). Calculate the highest common divisor of j and k. 22 Let q(f) = -21*f + 37. Let h be q(1). What is the highest common factor of 6 and h? 2 Let v be -10 + 3 + 1 - -161. Calculate the highest common divisor of v and 62. 31 Let b be ((-16)/12)/((-242)/60 + 4). Let i(k) = k + 16. Let w be i(0). Calculate the highest common factor of b and w. 8 Let b(d) = 5*d + 1. Suppose -4*h + 28 = -0*h. Let s be b(h). Suppose 0 = -10*w + 171 - 51. What is the greatest common factor of w and s? 12 Suppose -4*b + 2865 = 3*n, -3*b + n - 3595 = -8*b. What is the highest common divisor of b and 80? 80 Let f(a) be the third derivative of a**5/60 + 3*a**4/8 - 14*a**3/3 + 24*a**2. Let u be f(-12). What is the highest common divisor of 20 and u? 4 Let o = 20 + -10. Let q(a) = a**3 - a**2 + 4. Let c be q(0). What is the highest common factor of o and c? 2 Let x be -2 + (3 - (3 + -3)). Let z(l) = 3*l**2 + l. Let h be z(x). Let r be (-62)/h*(-15 + 13). Calculate the greatest common factor of 155 and r. 31 Suppose -19 = 5*m - 49. Let g = m + -5. Calculate the greatest common divisor of g and 11. 1 Suppose 5 + 35 = 2*k. Let g be 2/(-7) - 2244/(-14). Calculate the highest common factor of k and g. 20 Let y be (6/(-12))/(2/56). Let t = y - -36. What is the highest common factor of t and 220? 22 Let z = 2 + 1. Let y be 34 - -3*(-2)/z. Let w be (y - -1)*(-16)/(-6). What is the highest common divisor of 8 and w? 8 Suppose 3*t - 186 = -4*p, 2*t - 2*p - 101 = 3*p. Let a = -50 + t. Calculate the highest common factor of a and 88. 8 Let a = 81 + -86. Let o(u) = u**3 + 13*u**2 - 4*u - 4. Let y be o(a). What is the greatest common divisor of y and 24? 24 Suppose 0 = -34*i + 2269 - 705. Calculate the highest common divisor of i and 299. 23 Suppose -3*k - 183 - 45 = 0. Let i = k + 86. Suppose 5*d + 2*y - 260 = 0, 0*d + 3*d = y + 145. Calculate the greatest common factor of d and i. 10 Let c be -23*(3 + -4 + 2). Let r = -13 - c. Calculate the greatest common factor of 2 and r. 2 Let x = 670 + -662. What is the highest common divisor of x and 108? 4 Suppose z + 1228 = 4*w, -z + 302 = w - 0*z. Suppose 3*g - w = -96. Suppose 1 = n - 9. What is the highest common divisor of n and g? 10 Let i be (-34)/(-6) + 5/15. Let x = -583 - -595. What is the highest common divisor of x and i? 6 Suppose -p + 117 = -27. What is the highest common factor of p and 32? 16 Let o be (-15)/(-4) + (-13)/(-52). Suppose o*t - 21 = d, -t - d = -3*d. Calculate the highest common factor of t and 24. 6 Let f(w) = 38*w + 267. Let m be f(-7). Calculate the greatest common divisor of m and 23. 1 Suppose 0 = 2*r + 3*r - 30. Let v = 16 - 18. Let y be 656/12 + 3/9*v. Calculate the greatest common factor of y and r. 6 Let v = 18 - 4. Suppose -3*k = 3*a + 120, -3*k = 4*a + 119 + 6. Let i = 49 + k. What is the greatest common divisor of i and v? 14 Suppose -6*s + 7*s - 6 = 0. Suppose s*d + 10 = 7*d. Let j be 2/(-3) - 32/(-12). What is the highest common divisor of d and j? 2 Let m(v) = 15*v - 2*v + 5*v - 4. Let x be m(4). Let l be (187/x)/((-1)/(-4)). What is the greatest common factor of l and 77? 11 Let f = -935 + 937. Calculate the highest common divisor of 67 and f. 1 Let u = 187 + -184. Calculate the highest common factor of u and 9. 3 Let l = 66 + -39. Suppose 0 = 19*u - 22*u + l. Let p(q) = 17*q + 4. Let f be p(4). What is the greatest common factor of u and f? 9 Suppose -9*u + 240 = -4*u. Suppose -2*d - u = -4*z, 3*z = -2*d - 2 + 24. Calculate the highest common divisor of z and 30. 10 Suppose 2*h - 6*h - x - 141 = 0, 3*x - 81 = 2*h. Let s be 1884/15 - (h/15 - -3). Calculate the greatest common factor of 25 and s. 25 Let l(w) = w + 9. Let t be l(-6). Let n(k) = -t*k + 3 + 0*k - k**2 - 5 + k**3 + 0*k**2. Let v be n(3). Calculate the highest common factor of 77 and v. 7 Suppose -5*s + 5 = q - 85, q = 3*s - 54. Let t = -564 - -819. Let c = 417 - t. What is the greatest common divisor of s and c? 18 Suppose -2*r = 3*s - 297, -4*s - 457 - 14 = -3*r. What is the greatest common factor of 374 and r? 17 Let x be 140/(-35) + 3 + 6. Let o be 4/14 + (-99)/(-21). Calculate the highest common divisor of x and o. 5 Suppose 67 = d - 32. Suppose 5*v + s = 259, -6*v - 5*s + d = -4*v. Calculate the highest common divisor of v and 13. 13 Suppose 1380 = 2*t + 5*b, 4*t + 0*b - 2740 = -5*b. Suppose t = -32*y + 37*y. What is the highest common divisor of y and 34? 34 Let a be 25/2 + (-3)/(-2). Calculate the greatest common divisor of a and 7. 7 Suppose 8*t - 30 = -6. Suppose -4*p = -w + 28 - 99, -t*p - w + 55 = 0. What is the greatest common factor of p and 108? 18 Let b = 1 + 1. Let x be -3*b/6 + 23. Calculate the highest common divisor of x and 154. 22 Suppose -2*d = -f, 10*f - 9*f + 9 = 5*d. Let s(w) = -w**3 + 8*w**2 - 5*w + 6. Let k be s(6). What is the greatest common divisor of f and k? 6 Suppose 4*t - 6*t = y - 18, -105 = -4*y + 3*t. Calculate the greatest common divisor of y and 312. 24 Suppose 0 = 2*a + 3*c - 8*c + 2, a = -3*c + 10. Let k = a - -14. Suppose -6*t = -8*t + k. Calculate the highest common divisor of t and 72. 9 Let j(n) = -3*n**3 - 6*n**2 - 1. Let g be j(-4). Calculate the greatest common divisor of g and 76. 19 Let w be (-24)/(-44) + (-29700)/(-121). Calculate the highest common factor of 18 and w. 6 Let j be 12/90 - (1 - (-19344)/(-45)). Calculate the greatest common factor of j and 11. 11 Let c be (-9)/(-3)*(-3)/(-9). Suppose -2*i = -5*u + 27, 4*u + 6*i - 5*i = 19. Calculate the greatest common factor of u and c. 1 Let p = 28 - 24. Suppose -26 - 2 = -p*z. Suppose -2*s - 20 = -z*s. Calculate the highest common factor of s and 2. 2 Let h be 20 + -1 + 3 - -1. Suppose -12 = -5*n + h. Let d be 10*((-56)/10)/(-2). What is the highest common divisor of n and d? 7 Let j be 2/(-7) + 30/7. Suppose 5*v - 15 = -5*d, -4*v - 4*d = -3*v. Suppose 0 = -v*k - k + 140. What is the greatest common factor of k and j? 4 Let m(z) = z - 6. Let h be m(0). Let w be 6*(84/16 - h/8). What is the highest common divisor of 54 and w? 18 Let x be (30/(-4) - (11 + -18))*-98. What is the highest common divisor of x and 1? 1 Let f(l) = 4*l**2 + 3*l - 1. Let q be (3/6*6)/1. Suppose q*s - 7 = 2. Let a be f(s). What is the highest common divisor of a and 110? 22 Let k = -409 - -422. What is the greatest common factor of k and 182? 13 Suppose -7*f = -3*f - 36. Suppose 84 = f*m - 24. What is the highest common divisor of m and 24? 12 Let a(j) = -4*j**2 - 85*j - 63. Let d be a(-19). What is the highest common factor of 36 and d? 36 Let i(f) = -44*f - 169. Let k be i(-11). What is the highest common divisor of k and 126? 63 Suppose -x + 33 = 3*l - 3*x, x = 5*l - 55. Let b be 198/(-30) + 7 - (-324)/15. What is the highest common factor of l and b? 11 Suppose 15 = y + 31*o - 32*o, 3*y + o = 57. Let i be -5*-1*36/10. What is the greatest common divisor of y and i? 18 Let k = 28 + -18. Suppose w + 4*g + k = -0, -4*g - 40 = -2*w. Calculate the greatest common divisor of w and 2. 2 Suppose 3*j - 2*q = -394 + 1566, 776 = 2*j + 4*q. What is the greatest common factor of 18 and j? 6 Suppose 0 = -10*n + 13*n - 18. What is the greatest common factor of n and 183? 3 Suppose -12*j + 10*j = -10. Suppose j*h + 3*k = 22, 1 + 15 = 4*k. Let l be (6/(-5))/((-5)/25). What is the greatest common divisor of l and h? 2 Let l be (0 - -6)*(2 + -1). Let k be 460/l + (-3)/(-9). Let z = 5466 - 5455. What is the highest common divisor of z and k? 11 Suppose f = -f + 38. Let m = -18 + f. Let b be (74 + 7)*1/m. What is the greatest common factor of 54 and b? 27 Suppose x - 5*x + 4 = 0. Let q be -12*-1*(0 + x). Let n be 5/(-1)*18/(-5). What is the greatest common divisor of n and q? 6 Suppose -24*q + 100 = 2*m - 25*q, -4*m + 196 = -3*q. What is the highest common factor of 78 and m? 26 Let m(g)
{ "pile_set_name": "DM Mathematics" }
-5514*j**5 - 3*j**3 + 1536*j - 2 wrt j. -110280*j**3 - 18*j What is the third derivative of -456*n*s**3*x + 21862*n*s**2*x + 281*s**3*x - 4*s**2 wrt s? -2736*n*x + 1686*x What is the third derivative of 150263*t**3 - t**2 - 46*t + 94? 901578 What is the third derivative of 4702*r**5 - 4*r**3 - r**2 + 16667*r wrt r? 282120*r**2 - 24 Find the first derivative of -2260*n**2*t - n**2 - 2*n*t**2 - 2*n + t**3 + 593 wrt t. -2260*n**2 - 4*n*t + 3*t**2 Find the second derivative of 6*n**2*r**3 - 40660*n**2*r**2 - 972*n*r**3 - 325*n wrt n. 12*r**3 - 81320*r**2 Differentiate 358174*m**3 - 494017. 1074522*m**2 Find the second derivative of -8703*p**2*s**3 + p**2*s**2 - 5*p**2*s - 596*p*s - 2*s wrt s. -52218*p**2*s + 2*p**2 Find the third derivative of -a*q**5 + 2*a*q**3 + 1836*a*q**2 + 523*q**4 + 2*q**2 wrt q. -60*a*q**2 + 12*a + 12552*q Differentiate -h*m**3*q + h*m**3 + 110900*h*m + 131*h*q - 5*m**3*q + 7*q with respect to q. -h*m**3 + 131*h - 5*m**3 + 7 What is the derivative of 11521*c**2*g**2*o + c**2*g*p - c**2*o - 1775*c**2 - c*g*o + c*o*p - 4 wrt g? 23042*c**2*g*o + c**2*p - c*o Find the third derivative of 5*g**3*n**2*t**3 - 2*g**3*n*t**2 - 2*g**2*n**2*t + g**2*t**2 + 14*g*n*t**3 - 9*g*t**3 - 1569*t**2 wrt t. 30*g**3*n**2 + 84*g*n - 54*g Find the third derivative of 3964*j**2*w**4 - 2052*j**2*w**2 + 4*j**2*w - 2*j**2 - 20*j*w**4 + 4*j*w**3 - w - 5 wrt w. 95136*j**2*w - 480*j*w + 24*j What is the third derivative of -256*b**3*q**3 + 134*b**3 - 81*b**2*q**3 - 722*b**2*q wrt b? -1536*q**3 + 804 What is the third derivative of -177617*w**6 + 46759*w**2 + w wrt w? -21314040*w**3 Find the third derivative of 90925*a**3*w**2 - 73105*a**2*w**2 wrt a. 545550*w**2 What is the third derivative of -12*a*h*y**3 - 15*a*h*y - a*y**3 + 56*h*y**3 + 7*h*y**2 - 28*h - y**3 wrt y? -72*a*h - 6*a + 336*h - 6 What is the derivative of 77*a*q**2*w - 5*a*q**2 - 9*a*q*w + a*q + 4*a*w + 2*q**2 + 4*w + 260 wrt w? 77*a*q**2 - 9*a*q + 4*a + 4 Differentiate 1783*r**4 + 17*r - 40978. 7132*r**3 + 17 What is the first derivative of 123620*t**2 - 179565 wrt t? 247240*t What is the third derivative of n*o**3 - n*o - 2*o**5 - 9*o**4 + 2449*o**3 + 10334*o**2 - o wrt o? 6*n - 120*o**2 - 216*o + 14694 Find the third derivative of 146685*v**5 + v**2 - 13625*v - 2 wrt v. 8801100*v**2 What is the third derivative of 8813*s**3 - 885*s**2 - 3*s + 2? 52878 What is the first derivative of 7682*y**2 + 6226 wrt y? 15364*y What is the third derivative of 2*f**2*r**3 - 32*f**2*r*t + 917*f*r**3*t - 65*f*r**2*t - 5*r**2*t wrt r? 12*f**2 + 5502*f*t Find the third derivative of 6205*h*n**3 + 3*h*n**2 + 3*h*n - 2*h + 3*n**5 - 385*n**2 wrt n. 37230*h + 180*n**2 Find the first derivative of 2*q**4 - 203*q**2 - 369*q - 465137 wrt q. 8*q**3 - 406*q - 369 What is the derivative of 2215*s**2*w**2 + 29640*s**2 - 2*s*w**2 wrt w? 4430*s**2*w - 4*s*w What is the derivative of 8*t*w*x - 37355*t*w + 2*t*x + 14*x wrt x? 8*t*w + 2*t + 14 Differentiate -424303*q - 306075 with respect to q. -424303 What is the derivative of -2604949*a + 3474329? -2604949 Find the second derivative of -5*c**2*z**2 - 22*c**2 - 1230*c*z**2 - 363*c*z + 21*z**2 - 25 wrt z. -10*c**2 - 2460*c + 42 What is the third derivative of -10876*k**3*o**3 - 25595*k**3*o**2 - 2*k**2*o**5 + 2 wrt o? -65256*k**3 - 120*k**2*o**2 What is the third derivative of -164*i**6*n - 37*i**3*n - 4955*i**2*n + 3*i wrt i? -19680*i**3*n - 222*n What is the second derivative of -715418*v**3 - 790592*v? -4292508*v Find the second derivative of -1935853*z**4 + 278361*z + 2. -23230236*z**2 What is the third derivative of -33757*s**3 + 2087*s**2 + 5 wrt s? -202542 Find the second derivative of -13*k**3 + 13*k**2 + 14428*k. -78*k + 26 Differentiate 1824791*t**4 - 1872348 wrt t. 7299164*t**3 Find the first derivative of -2*k**3 + 23935*k**2 - 86043 wrt k. -6*k**2 + 47870*k What is the second derivative of 4*w**5 - 6*w**4 - 209*w**2 + 110*w - 166 wrt w? 80*w**3 - 72*w**2 - 418 Differentiate -8181*i**2 + 8087. -16362*i What is the third derivative of 4929*d**5 + 40*d**4*p**3 + 3*d**2*p**3 - 225254*p**3 wrt d? 295740*d**2 + 960*d*p**3 Find the second derivative of 2*c**2*s**2 - 13562*c**2*s - c*s**3 + 7*c*s**2 + 121*s**3 - 2*s wrt s. 4*c**2 - 6*c*s + 14*c + 726*s What is the derivative of -3711*t**4*u**2 - 7*t**2*u**2 - 138530*u**2 wrt t? -14844*t**3*u**2 - 14*t*u**2 What is the third derivative of 6*u**6 + 6710*u**3 + 24821*u**2 wrt u? 720*u**3 + 40260 What is the second derivative of -214*g**4 - 1371*g**2 + 4610318*g wrt g? -2568*g**2 - 2742 What is the second derivative of -173685*s**3 - 3614*s - 6? -1042110*s Find the first derivative of -32971*p - 51808. -32971 Find the second derivative of -23*d**5 - d**3 - 2082*d**2 - 87*d - 4022. -460*d**3 - 6*d - 4164 What is the derivative of 2*h**3 - 3154*h**2 - 69*h + 120380 wrt h? 6*h**2 - 6308*h - 69 What is the derivative of 12020*i**4 + 2*i**2 + 2*i + 210346? 48080*i**3 + 4*i + 2 Find the first derivative of -1215730*l + 1304436. -1215730 What is the first derivative of -n**4 - 27*n**2 + 10993*n + 1893921? -4*n**3 - 54*n + 10993 Differentiate -1060578*d*j**2 + 2*d*x + 51061*j**2*x - 17*j**2 with respect to d. -1060578*j**2 + 2*x What is the first derivative of -360*a + 22848? -360 What is the second derivative of y**4 + 855*y**3 + 17*y**2 - 400*y - 39 wrt y? 12*y**2 + 5130*y + 34 What is the second derivative of -125947*g**3*i - 3*g**3 - g**2*i + 18*g*i - 6*g + 23*i - 11 wrt g? -755682*g*i - 18*g - 2*i What is the second derivative of 6*l**4*m + 3*l**3 + 4*l**2*m - 51517*l*m wrt l? 72*l**2*m + 18*l + 8*m What is the second derivative of -266525*b**3 + 11*b - 1775? -1599150*b What is the first derivative of 125993*g + 289981? 125993 What is the second derivative of -4600*d**5 + 26924*d wrt d? -92000*d**3 Differentiate -495716*l**3*n + 255997*l**3 + 2*l**2 - 4*l*n - 3 wrt n. -495716*l**3 - 4*l What is the second derivative of 13208*f**2 + 256*f - 7 wrt f? 26416 What is the third derivative of 1496645*l**6 + 2*l**2 + 394984*l wrt l? 179597400*l**3 What is the first derivative of -3*q**3 - 88770*q**2 - q + 753871? -9*q**2 - 177540*q - 1 Differentiate 501026*x - 823420 wrt x. 501026 Find the third derivative of -569392*t**3 + 9*t**2 - 16632*t. -3416352 Differentiate 701226*d + 3325743 with respect to d. 701226 Find the third derivative of -59*r**5 + 2*r**4 - 55*r**3 - 60277*r**2 wrt r. -3540*r**2 + 48*r - 330 What is the third derivative of -10675*c**3*p**3 + 92*c**2 - 36*c*p**3 wrt c? -64050*p**3 Find the second derivative of 138424*n**3*v**2 - 49*n**3*v - 638*n**3 - 6*v**2 wrt v. 276848*n**3 - 12 What is the derivative of 220*b*o**3 + 3*b*o**2 + 107*b*o - b - 201825*o**3 + 2 wrt b? 220*o**3 + 3*o**2 + 107*o - 1 Find the second derivative of 315681*p**2 - 3*p + 33296. 631362 What is the third derivative of -192567*b**4*i - 5*b**2*i - 23406*i wrt b? -4621608*b*i Find the second derivative of -33926*y**2 + 32230*y. -67852 What is the second derivative of -81959*z**2 - z - 37418? -163918 What is the second derivative of -3*k**2*y**4 + 273*k**2*y**2 - 33652*k**2 + 2*k*y wrt y? -36*k**2*y**2 + 546*k**2 What is the second derivative of 74036*c**4 - 33*c - 275 wrt c? 888432*c**2 Differentiate 107916*v**3 - 669735 wrt v. 323748*v**2 Differentiate 69932*z + 70087 with respect to z. 69932 What is the second derivative of -113*l**5 + 209*l**3 - l**2 - 323*l + 514? -2260*l**3 + 1254*l - 2 Find the second derivative of -10*c**5*z + 29824*c**5 + 1884*c*z + 32*c + 2*z + 1 wrt c. -200*c**3*z + 596480*c**3 What is the derivative of 552090*c*f**2 + 77*f**2 - 5127 wrt c? 552090*f**2 What is the second derivative of -4808*m**2*o*q - 3*m**2*o - 7*m*o*q - q + 105 wrt m? -9616*o*q - 6*o What is the first derivative of 4473*j**2 + 26*j - 2134410 wrt j? 8946*j + 26 What is the third derivative of -2611*j**3 + 5*j**2 + 309? -15666 What is the third derivative of 168*a**3*p - 30*a**3 - 2*a**2 + 9011*p wrt a? 1008*p - 180 Differentiate -246093*w - 76954. -246093 What is the third derivative of 26*s**5 + 4141*s**3 + 36*s**2 - 1568*s? 1560*s**2 + 24846 Find the second derivative of 2*d**2*s**2 - 10*d**2 + 69669*d*s - 1328184*s**3 wrt s. 4*d**2 - 7969104*s Find the second derivative of 89481*c**3*f*x**2 - 30*c**3*f*x + 2*c**2*f + 2*c**2*x + c*f*x**2 + 140*c
{ "pile_set_name": "DM Mathematics" }
4*h**2/5 + 3*h/2 - 27/5. -(h - 9)*(h - 2)*(h + 3)/10 Determine f, given that 4*f**5 + 36*f**4 + 76*f**3 + 12*f**2 - 80*f - 48 = 0. -6, -2, -1, 1 Factor 5*c**3 - 730*c**2 + 27360*c - 51840. 5*(c - 72)**2*(c - 2) Factor -4*m**3 + 28*m**2 + 376*m - 832. -4*(m - 13)*(m - 2)*(m + 8) What is k in -k**3/4 + 13*k**2/2 + 52*k - 128 = 0? -8, 2, 32 Let 3*d**2 - 93*d + 174 = 0. Calculate d. 2, 29 Factor -5*s**4 - 3960*s**3 + 23880*s**2 - 47840*s + 31920. -5*(s - 2)**3*(s + 798) Suppose -2*d**4/11 + 14*d**3/11 + 20*d**2/11 - 32*d/11 = 0. What is d? -2, 0, 1, 8 Factor p**2 + 91*p + 90. (p + 1)*(p + 90) Suppose s**4/5 - 6*s**3/5 - 8*s**2/5 + 6*s/5 + 7/5 = 0. What is s? -1, 1, 7 Suppose 5*j**2 + 13695*j = 0. What is j? -2739, 0 Determine y, given that 2*y**3/23 - 24*y**2/23 - 26*y/23 = 0. -1, 0, 13 Factor z**3/4 - 7*z**2/2 + 14*z - 16. (z - 8)*(z - 4)*(z - 2)/4 Determine p, given that 5*p**2 + 490*p + 12005 = 0. -49 Factor -w**2/5 + 98*w/5 - 637/5. -(w - 91)*(w - 7)/5 What is d in -4*d**3/9 + 296*d**2/9 - 5476*d/9 = 0? 0, 37 Factor 3*c**4/2 + 3*c**3/2 - 3*c**2/2 - 3*c/2. 3*c*(c - 1)*(c + 1)**2/2 Solve -3*f**2/5 + 183*f + 918/5 = 0. -1, 306 Determine i so that -15*i**5 + 546*i**4 - 5061*i**3 + 1398*i**2 + 5076*i - 1944 = 0. -1, 2/5, 1, 18 Factor 4*t**4 - 96*t**3 + 336*t**2 + 3136*t. 4*t*(t - 14)**2*(t + 4) Factor g**3/4 - 15*g**2/2 - 207*g/4 - 81. (g - 36)*(g + 3)**2/4 Find c, given that -3*c**3/8 + 51*c**2/8 + 111*c/8 + 57/8 = 0. -1, 19 What is h in -4*h**4 + 60*h**3 - 308*h**2 + 660*h - 504 = 0? 2, 3, 7 Solve -2*f**3/5 + 34*f**2/5 - 30*f + 198/5 = 0. 3, 11 Factor 4*p**4/3 - 44*p**3/3 + 112*p**2/3. 4*p**2*(p - 7)*(p - 4)/3 Find j such that -4*j**2 - 80*j = 0. -20, 0 Let -t**4 - 11*t**3 - 32*t**2 - 28*t = 0. Calculate t. -7, -2, 0 Solve 2*r**2/5 + 13892*r/5 + 24123458/5 = 0 for r. -3473 Solve -9*a**4 - 51*a**3 - 48*a**2 + 60*a + 48 = 0. -4, -2, -2/3, 1 Factor -4*a**2 + 21568*a - 29073664. -4*(a - 2696)**2 Determine t so that -t**4 + 49*t**3 + t**2 - 49*t = 0. -1, 0, 1, 49 Let 2*f**5/13 + 10*f**4/13 + 18*f**3/13 + 14*f**2/13 + 4*f/13 = 0. Calculate f. -2, -1, 0 Factor -4*v**4 - 228*v**3 - 632*v**2 + 864*v. -4*v*(v - 1)*(v + 4)*(v + 54) Factor -5*f**3 + 90*f**2 - 520*f + 960. -5*(f - 8)*(f - 6)*(f - 4) Find s such that 5*s**4 - 230*s**3 + 2645*s**2 = 0. 0, 23 Determine v so that -12*v**5 + 243*v**4 - 276*v**3 - 186*v**2 + 288*v - 57 = 0. -1, 1/4, 1, 19 Factor -d**4/2 - d**3/2 + 3*d**2/2 + d/2 - 1. -(d - 1)**2*(d + 1)*(d + 2)/2 Factor j**2/6 + j/2 - 3. (j - 3)*(j + 6)/6 Factor 5*g**2 + 2640*g. 5*g*(g + 528) Factor 2*u**3 + 6*u**2 - 18*u + 10. 2*(u - 1)**2*(u + 5) Factor l**3/8 + 85*l**2/4 - 343*l/8 + 43/2. (l - 1)**2*(l + 172)/8 Factor -2*h**4 + 260*h**3 - 11088*h**2 + 147136*h + 340736. -2*(h - 44)**3*(h + 2) Factor 2401*m**3/3 + 6272*m**2 - 1040*m + 128/3. (m + 8)*(49*m - 4)**2/3 Let 7*d**4 + 2700*d**3 + 15251*d**2 + 19362*d - 6840 = 0. What is d? -380, -3, 2/7 Find z such that 3*z**3/2 + 51*z**2/2 - 564*z - 1218 = 0. -29, -2, 14 Let -3*l**3 + 1302*l**2 - 137280*l - 871200 = 0. Calculate l. -6, 220 Let 54*r**2/5 + 328*r/5 + 24/5 = 0. Calculate r. -6, -2/27 Let 75*y**4 - 165*y**3 + 12*y**2 + 36*y = 0. Calculate y. -2/5, 0, 3/5, 2 Factor 75*y**2 - 6*y/5. 3*y*(125*y - 2)/5 Find n, given that -2*n**5 + 37*n**4/3 - 12*n**3 + 5*n**2/3 = 0. 0, 1/6, 1, 5 Factor -2*j**3/11 - 846*j**2/11 - 119286*j/11 - 5606442/11. -2*(j + 141)**3/11 Factor -k**3/5 + 8*k**2/5 - 21*k/5 + 18/5. -(k - 3)**2*(k - 2)/5 Factor -14*d**2/9 - 16*d/9 - 2/9. -2*(d + 1)*(7*d + 1)/9 Let f**3/4 - 363*f**2 + 175692*f - 28344976 = 0. Calculate f. 484 Factor -2*z**4 + 12*z**3 - 44*z - 30. -2*(z - 5)*(z - 3)*(z + 1)**2 Factor -2*l**3 + 78*l**2 + 80*l. -2*l*(l - 40)*(l + 1) Solve 2*r**5/7 - 46*r**4/7 + 382*r**3/7 - 1394*r**2/7 + 2208*r/7 - 1152/7 = 0. 1, 3, 8 Factor 5*n**4 - 15*n**3 - 15*n**2 + 35*n + 30. 5*(n - 3)*(n - 2)*(n + 1)**2 Factor -3*d**3/7 - 396*d**2/7 - 17424*d/7 - 255552/7. -3*(d + 44)**3/7 Let -2*s**2/5 + 44*s/5 + 208/5 = 0. What is s? -4, 26 Factor -2*x**2/7 - 6*x - 40/7. -2*(x + 1)*(x + 20)/7 Let -i**2/4 - 101*i/4 = 0. Calculate i. -101, 0 Factor 3*o**2 + 27*o + 54. 3*(o + 3)*(o + 6) Factor 2*o**4/7 + 16*o**3/7 + 36*o**2/7 + 32*o/7 + 10/7. 2*(o + 1)**3*(o + 5)/7 Factor -4*o**2 + 28*o - 48. -4*(o - 4)*(o - 3) Determine t so that 18*t**5/5 - 1768*t**4/5 + 8362*t**3 + 78996*t**2/5 + 5080*t - 2000 = 0. -1, 2/9, 50 Determine p, given that 396*p**4 + 24*p**3 - 69*p**2 + 9*p = 0. -1/2, 0, 1/6, 3/11 Find x such that 2*x**4 + 106*x**3 + 1350*x**2 - 1458*x = 0. -27, 0, 1 Suppose t**5 - t**4 - 29*t**3 - 79*t**2 - 80*t - 28 = 0. What is t? -2, -1, 7 Determine q, given that 2*q**2 - 936*q/5 - 376/5 = 0. -2/5, 94 Determine v, given that v**5/12 + 79*v**4/12 - 605*v**3/12 - 203*v**2/12 + 1195*v/3 + 1075/3 = 0. -86, -2, -1, 5 Suppose 2*k**4/3 + 52*k**3/3 + 382*k**2/3 + 812*k/3 + 160 = 0. What is k? -15, -8, -2, -1 Factor 2*s**4 + 6*s**3 - 8*s**2. 2*s**2*(s - 1)*(s + 4) Solve -20*l**3 - 19568*l**2 - 4790244*l - 1912968 = 0 for l. -489, -2/5 Find u such that -2*u**2/5 - 476*u/5 - 944/5 = 0. -236, -2 Factor 5*s**3 - 55*s**2 + 40*s + 100. 5*(s - 10)*(s - 2)*(s + 1) Solve 2*p**5 - 102*p**4 - 434*p**3 - 330*p**2 = 0 for p. -3, -1, 0, 55 Suppose -n**5 - 26*n**4 + 55*n**3 - 28*n**2 = 0. Calculate n. -28, 0, 1 Let -2*b**2/15 + 542*b/15 + 364/5 = 0. What is b? -2, 273 Factor w**4/4 + 17*w**3/2 + 57*w**2/4 - 55*w + 32. (w - 1)**2*(w + 4)*(w + 32)/4 Determine u so that -u**2/2 + 15*u/2 - 18 = 0. 3, 12 Find h, given that 2*h**5 - 24*h**4 + 82*h**3 + 4*h**2 - 384*h + 320 = 0. -2, 1, 4, 5 Let -2*k**2/7 - 6*k/7 + 8/7 = 0. Calculate k. -4, 1 Factor -o**4 - 9*o**3 + 201*o**2 - 371*o + 180. -(o - 9)*(o - 1)**2*(o + 20) Find u such that -4*u**4/5 + 78*u**3/5 - 86*u**2 + 516*u/5 - 32 = 0. 1/2, 1, 8, 10 Let -2*u**5/3 - 128*u**4/3 - 682*u**3 + 128*u**2/3 + 2048*u/3 = 0. Calculate u. -32, -1, 0, 1 Factor -5*b**2/4 - 35*b/2 + 255/4. -5*(b - 3)*(b + 17)/4 Let -u**2/3 - 520*u/3 - 67600/3 = 0. What is u? -260 Let -2*g**3/13 - 14*g**2/13 - 32*g/13 - 24/13 = 0. What is g? -3, -2 Solve -4*w**2 + 6848*w - 2930944 = 0 for w. 856 Factor -3*j**3/2 + 99*j**2 - 189*j/2 - 195. -3*(j - 65)*(j - 2)*(j + 1)/2 Solve -j**3 - 3*j**2 + 33*j + 35 = 0 for j. -7, -1, 5 Let -2*t**2/9 - 220*t/3 - 6050 = 0. What is t? -165 Factor 2*j**2/11 + 80*j/11 + 800/11. 2*(j + 20)**2/11 Factor -d**2 - 4*d + 12. -(d - 2)*(d + 6) Factor g**5/7 + 2*g**4 + 24*g**3/7 - 2*g**2/7 - 25*g/7 - 12/7. (g - 1)*(g + 1)**3*(g + 12)/7 What is z in -4*z**4/3 + 1492*z**3/3 - 46624*z**2 + 46128*z = 0? 0, 1, 186 Factor 2*n**2/7 + 7656*n/7 + 7326792/7. 2*(n + 1914)**2/7 Suppose -2*k**5/5 + 8*k**4/5 + 2*k**3 - 8*k**2 - 8*k/5 + 32/5 = 0. Calculate k. -2, -1, 1, 2, 4 Factor 3*s**3/7 - 1308*s**2/7 - 375*s - 1314/7. 3*(s - 438)*(s + 1)**2/7 Solve -b**4/4 + 9*b**3/4 + b**2/4 - 9*b/4 = 0. -1, 0, 1, 9 Determine o, given that o**2/2 - 5662*o + 16029122 = 0. 5662 Let 4*y**2 - 9324*y = 0. What is y? 0, 2331 Solve -4*m**3/13 - 14*m**2/13 + 10*m/13 + 8/13 = 0 for m. -4, -1/2, 1 Let -2*q**3/7 - 150*q**2/7 + 306*q/7 - 22 = 0. Calculate q. -77, 1 Factor -580*m**2 + 596*m - 16. -4*(m - 1)*(145*m - 4) Let v**4 - 15*v**3 + 25*v**2 + 15*v - 26 = 0. Calculate v. -1, 1, 2, 13 Factor -a**2 + 4*a - 4. -(a - 2)**2 What is u in 3*u**3 + 54*u**2 + 180*u - 600 = 0? -10, 2 Let 5*g**5 - 180*g**4 = 0. What is g? 0, 36 Factor -r**2/4 + 7*r/2 + 15/4. -(r - 15)*(r + 1)/4 Solve 4*l**4 - 96*l**3 - 244*l**2 + 864*l + 1872 = 0. -3, -2, 3, 26 Suppose v**3/8 - 9*v**2/4 + 12*v - 16 = 0. Calculate v. 2, 8 What is d in 3*d**4/2 - 153*d**3/2 + 2601*d**2/2 - 14739*d/2 = 0? 0, 17 Let 45*t**3 - 45*t**2 - 5*t + 5 = 0. Calculate t. -1/3, 1/3, 1 Find i, given that -2*i**2/11 - 7336*i/11 - 6727112/11 = 0. -1834 Factor -2*u**4/9 + 122*u**3/9 - 1664*u**2/9 - 2048*u/3. -2*u*(u - 32)**2*(u + 3)/9 Factor -2*g**2/3 - 38*g/3 - 140/3. -2*(g + 5)*(g + 14)/3 Find s, given that -s**2 + 5128*s - 6574096 = 0. 2564 Factor -5*m**5 - 440*m**4 - 13310*m**3 - 186340*m**2 - 1244485*m - 3221020. -5*(m + 11)**4*(m + 44) Factor -p**2 + 51*p - 50. -(p - 50)*(p - 1) Let -4*a**4 + 19*a**3 - 27*a**2 + 8*a + 4 = 0. What is a? -1/4, 1, 2 Solve -q**3 + 20*q**2 - 36*q = 0 for q. 0, 2, 18 Determine k so that -5*k**5 + 60*k**4 - 100*k**3 - 10*k**2 + 105*k - 50 = 0
{ "pile_set_name": "DM Mathematics" }
at is the n'th term of 1775, 1786, 1813, 1868, 1963, 2110, 2321, 2608? 2*n**3 - 4*n**2 + 9*n + 1768 What is the c'th term of -28231396, -56462792, -84694188, -112925584, -141156980, -169388376? -28231396*c What is the d'th term of -9688268, -9688267, -9688266? d - 9688269 What is the h'th term of 943431, 943298, 943163, 943026, 942887? -h**2 - 130*h + 943562 What is the q'th term of 23349, 50341, 77333, 104325, 131317? 26992*q - 3643 What is the y'th term of 972, 2514, 4622, 7296, 10536, 14342? 283*y**2 + 693*y - 4 What is the y'th term of 50685, 99275, 147865, 196455, 245045? 48590*y + 2095 What is the i'th term of -23975, -47885, -71795, -95705, -119615? -23910*i - 65 What is the l'th term of -1001, -2205, -3519, -4943? -55*l**2 - 1039*l + 93 What is the v'th term of 1825383, 1825394, 1825405, 1825416? 11*v + 1825372 What is the g'th term of -4040133, -4040132, -4040131, -4040130? g - 4040134 What is the p'th term of 422, -751, -1924, -3097, -4270? -1173*p + 1595 What is the w'th term of -293570, -293598, -293660, -293768, -293934, -294170, -294488, -294900? -2*w**3 - 5*w**2 + w - 293564 What is the t'th term of 177, 1462, 4965, 11796, 23065? 185*t**3 - t**2 - 7*t What is the f'th term of 5636, 11309, 16998, 22709, 28448, 34221, 40034, 45893? f**3 + 2*f**2 + 5660*f - 27 What is the q'th term of 71186, 71189, 71192? 3*q + 71183 What is the p'th term of 6209266, 12418535, 18627804, 24837073, 31046342? 6209269*p - 3 What is the m'th term of -234, -1501, -4920, -11565, -22510, -38829, -61596, -91885? -179*m**3 - 2*m**2 - 8*m - 45 What is the z'th term of -100080, -200082, -300018, -399888? 33*z**2 - 100101*z - 12 What is the v'th term of -261, -1176, -2731, -4920, -7737, -11176, -15231, -19896? v**3 - 326*v**2 + 56*v + 8 What is the r'th term of 129594049, 129594047, 129594045, 129594043, 129594041, 129594039? -2*r + 129594051 What is the v'th term of 13456, 12757, 12070, 11401, 10756? v**3 - 706*v + 14161 What is the t'th term of 5096, 4611, 4102, 3569? -12*t**2 - 449*t + 5557 What is the d'th term of -110, -468, -1556, -3740, -7386, -12860? -61*d**3 + d**2 + 66*d - 116 What is the j'th term of -238300457, -238300456, -238300455, -238300454? j - 238300458 What is the j'th term of 19706, 19637, 19512, 19331, 19094, 18801? -28*j**2 + 15*j + 19719 What is the y'th term of 164314, 656953, 1478018, 2627509? 164213*y**2 + 101 What is the h'th term of 1509165, 1509187, 1509209, 1509231, 1509253? 22*h + 1509143 What is the i'th term of 40899, 165170, 372291, 662262? 41425*i**2 - 4*i - 522 What is the l'th term of 15079557, 60318234, 135716031, 241272948, 376988985, 542864142, 738898419? 15079560*l**2 - 3*l What is the c'th term of 8270, 9707, 12108, 15473, 19802, 25095? 482*c**2 - 9*c + 7797 What is the u'th term of 3815, 30190, 101769, 241154, 470947, 813750, 1292165, 1928794? 3767*u**3 + 6*u + 42 What is the u'th term of -189223, -378917, -568611, -758305, -947999? -189694*u + 471 What is the z'th term of 1226182, 1226140, 1226098, 1226056, 1226014? -42*z + 1226224 What is the x'th term of 304571, 609639, 915211, 1221293, 1527891, 1835011, 2142659? x**3 + 246*x**2 + 304323*x + 1 What is the l'th term of 857577, 857452, 857329, 857208, 857089, 856972? l**2 - 128*l + 857704 What is the h'th term of -2200028, -2199912, -2199796, -2199680, -2199564, -2199448? 116*h - 2200144 What is the l'th term of 148693, 297316, 445873, 594364, 742789, 891148? -33*l**2 + 148722*l + 4 What is the m'th term of -3926, -7588, -10984, -14114, -16978, -19576, -21908? 133*m**2 - 4061*m + 2 What is the c'th term of -2197, -4351, -6439, -8425, -10273, -11947, -13411, -14629? 6*c**3 - 3*c**2 - 2187*c - 13 What is the t'th term of -4801, -4776, -4733, -4672? 9*t**2 - 2*t - 4808 What is the i'th term of 12675, 50709, 114109, 202875, 317007, 456505? 12683*i**2 - 15*i + 7 What is the p'th term of 1686, 960, 204, -588, -1422, -2304? -p**3 - 9*p**2 - 692*p + 2388 What is the n'th term of -1477612, -2955218, -4432826, -5910436? -n**2 - 1477603*n - 8 What is the z'th term of 87248, 174391, 261530, 348665, 435796? -2*z**2 + 87149*z + 101 What is the n'th term of 53778816, 107557620, 161336424, 215115228, 268894032? 53778804*n + 12 What is the n'th term of -39763, -80093, -120423, -160753, -201083, -241413? -40330*n + 567 What is the n'th term of -1615750, -1615770, -1615776, -1615762, -1615722, -1615650? n**3 + n**2 - 30*n - 1615722 What is the i'th term of -2227167, -4454336, -6681505, -8908674, -11135843, -13363012? -2227169*i + 2 What is the i'th term of -657405, -2629865, -5917373, -10519923, -16437509, -23670125? i**3 - 657530*i**2 + 123*i + 1 What is the k'th term of -7000698, -7000697, -7000694, -7000689, -7000682, -7000673? k**2 - 2*k - 7000697 What is the v'th term of 1197988, 1198551, 1199114, 1199677, 1200240, 1200803? 563*v + 1197425 What is the r'th term of 1120, 1394, 1582, 1636, 1508, 1150? -8*r**3 + 5*r**2 + 315*r + 808 What is the u'th term of -32723791, -32723751, -32723711, -32723671, -32723631, -32723591? 40*u - 32723831 What is the o'th term of 18086466, 18086464, 18086462? -2*o + 18086468 What is the u'th term of -4325, -8777, -13213, -17627, -22013, -26365, -30677? u**3 + 2*u**2 - 4465*u + 137 What is the c'th term of 856000, 1712045, 2568090, 3424135, 4280180, 5136225? 856045*c - 45 What is the s'th term of -3206, -3136, -3042, -2912, -2734, -2496, -2186? 2*s**3 + 56*s - 3264 What is the s'th term of 29428044, 58856092, 88284142, 117712194, 147140248? s**2 + 29428045*s - 2 What is the h'th term of -6683, -12996, -19381, -25838, -32367, -38968? -36*h**2 - 6205*h - 442 What is the z'th term of 175060, 177361, 179660, 181957, 184252? -z**2 + 2304*z + 172757 What is the m'th term of -38603, -154412, -347425, -617636, -965039, -1389628, -1891397, -2470340? m**3 - 38608*m**2 + 8*m - 4 What is the p'th term of 8716, 10700, 14010, 18646? 663*p**2 - 5*p + 8058 What is the v'th term of 3822, 15216, 34218, 60834, 95070, 136932? v**3 + 3798*v**2 - 7*v + 30 What is the f'th term of 28436143, 56872285, 85308427, 113744569, 142180711, 170616853? 28436142*f + 1 What is the c'th term of 686, 1072, 2070, 3986, 7126? 51*c**3 + 29*c + 606 What is the s'th term of 3082, 11118, 32932, 75412, 145446? 1148*s**3 + s**2 - 3*s + 1936 What is the h'th term of -36601, -72950, -109047, -144892? 126*h**2 - 36727*h What is the c'th term of 8768419, 17536806, 26305193, 35073580, 43841967, 52610354? 8768387*c + 32 What is the x'th term of 100, 704, 1314, 1948, 2624? 3*x**3 - 15*x**2 + 628*x - 516 What is the h'th term of -7817111, -15634126, -23451141? -7817015*h - 96 What is the g'th term of 4407, 4497, 4605, 4731? 9*g**2 + 63*g + 4335 What is the m'th term of -1162, -2516, -4260, -6592, -9710? -33*m**3 + 3*m**2 - 1132*m What is the o'th term of -4583018, -9165903, -13748788, -18331673, -22914558? -4582885*o - 133 What is the z'th term of 206275704, 206275705, 206275706? z + 206275703 What is the a'th term of 10, -130, -434, -908, -1558? -a**3 - 76*a**2 + 95*a - 8 What is the j'th term of -531281, -531260, -531241, -531224, -531209? -j**2 + 24*j - 531304 What is the z'th term of -263708, -527450, -791196, -1054946, -1318700, -1582458? -2*z**2 - 263736*z + 30 What is the m'th term of 3574483, 14297931, 32170341, 57191713, 89362047? 3574481*m**2 + 5*m - 3 What is the l'th term of -16849, -33791, -50839, -67993, -85253? -53*l**2 - 16783*l - 13 What is the f'th term of -955795, -956088, -956381, -956674? -293*f - 955502 What is the d'th term of 286594, 573368, 860142, 1146916, 1433690? 286774*d - 180 What is the p'th term of -3130178, -3130182, -3130186, -3130190? -4*p - 3130174 What is the o'th term of -1885, -3589, -5319, -7087, -8905, -10785, -12739? -2*o**3 - o**2 - 1687*o - 195 What is the s'th term of -20371, -29996, -39621, -49246, -58871? -9625*s - 10746 What is the q'th term of -588551, -1177342, -1766135, -2354930? -q**2 - 588788*q + 238 What is the o'th term of 4875, 5794, 6713, 7632? 919*o + 3956 What is the t'th term of -1988178, -1988122, -1988066? 56*t - 1988234 What is the p'th term of 18194, 72627, 163286, 290171, 453282? 18113*p**2 + 94*p - 13 What is the l'th term of -830, -603, -184, 451, 1326, 2465? 4*l**3 + 72*l**2 - 17*l - 889 What is the l'th term of 12202983, 12202985,
{ "pile_set_name": "DM Mathematics" }
by 1638. 12 What is the remainder when 1224 is divided by 7? 6 Calculate the remainder when 398 is divided by 198. 2 Calculate the remainder when 3919 is divided by 98. 97 Calculate the remainder when 857 is divided by 51. 41 Calculate the remainder when 765 is divided by 194. 183 Calculate the remainder when 182 is divided by 73. 36 What is the remainder when 1005 is divided by 436? 133 Calculate the remainder when 1161 is divided by 166. 165 Calculate the remainder when 493 is divided by 28. 17 Calculate the remainder when 561 is divided by 277. 7 What is the remainder when 3392 is divided by 564? 8 What is the remainder when 282 is divided by 68? 10 Calculate the remainder when 32 is divided by 2. 0 What is the remainder when 106 is divided by 18? 16 Calculate the remainder when 718 is divided by 94. 60 Calculate the remainder when 239 is divided by 55. 19 Calculate the remainder when 2628 is divided by 188. 184 Calculate the remainder when 72 is divided by 4. 0 What is the remainder when 48 is divided by 10? 8 What is the remainder when 40 is divided by 28? 12 What is the remainder when 539 is divided by 13? 6 Calculate the remainder when 881 is divided by 26. 23 Calculate the remainder when 49 is divided by 16. 1 What is the remainder when 231 is divided by 59? 54 What is the remainder when 188 is divided by 16? 12 Calculate the remainder when 177 is divided by 60. 57 Calculate the remainder when 92 is divided by 26. 14 Calculate the remainder when 242 is divided by 31. 25 What is the remainder when 3710 is divided by 64? 62 Calculate the remainder when 2610 is divided by 1304. 2 Calculate the remainder when 35 is divided by 14. 7 What is the remainder when 13142 is divided by 13? 12 What is the remainder when 194 is divided by 81? 32 What is the remainder when 707 is divided by 700? 7 Calculate the remainder when 20 is divided by 4. 0 Calculate the remainder when 383 is divided by 123. 14 What is the remainder when 368 is divided by 90? 8 What is the remainder when 1485 is divided by 79? 63 What is the remainder when 226 is divided by 107? 12 Calculate the remainder when 87 is divided by 3. 0 What is the remainder when 789 is divided by 94? 37 Calculate the remainder when 398 is divided by 15. 8 Calculate the remainder when 2101 is divided by 81. 76 What is the remainder when 546 is divided by 92? 86 Calculate the remainder when 6304 is divided by 17. 14 Calculate the remainder when 8 is divided by 3. 2 Calculate the remainder when 62 is divided by 59. 3 What is the remainder when 944 is divided by 2? 0 What is the remainder when 7426 is divided by 12? 10 What is the remainder when 6450 is divided by 3225? 0 Calculate the remainder when 1390 is divided by 135. 40 Calculate the remainder when 396 is divided by 75. 21 What is the remainder when 2285 is divided by 143? 140 What is the remainder when 442 is divided by 134? 40 What is the remainder when 16056 is divided by 74? 72 What is the remainder when 1215 is divided by 91? 32 Calculate the remainder when 231 is divided by 40. 31 Calculate the remainder when 123 is divided by 8. 3 What is the remainder when 142 is divided by 36? 34 Calculate the remainder when 3276 is divided by 16. 12 What is the remainder when 281 is divided by 97? 87 What is the remainder when 54 is divided by 16? 6 What is the remainder when 321 is divided by 23? 22 What is the remainder when 491 is divided by 15? 11 What is the remainder when 158 is divided by 69? 20 Calculate the remainder when 6993 is divided by 3492. 9 What is the remainder when 77 is divided by 16? 13 What is the remainder when 75 is divided by 40? 35 Calculate the remainder when 10691 is divided by 324. 323 Calculate the remainder when 1544 is divided by 3. 2 Calculate the remainder when 2442 is divided by 94. 92 What is the remainder when 181 is divided by 37? 33 Calculate the remainder when 160 is divided by 85. 75 Calculate the remainder when 135 is divided by 16. 7 Calculate the remainder when 22 is divided by 17. 5 What is the remainder when 148 is divided by 15? 13 What is the remainder when 687 is divided by 69? 66 What is the remainder when 15 is divided by 2? 1 What is the remainder when 617 is divided by 204? 5 What is the remainder when 89 is divided by 15? 14 Calculate the remainder when 1886 is divided by 603. 77 What is the remainder when 263 is divided by 44? 43 What is the remainder when 3093 is divided by 18? 15 What is the remainder when 35 is divided by 25? 10 Calculate the remainder when 86 is divided by 42. 2 Calculate the remainder when 37 is divided by 14. 9 What is the remainder when 662 is divided by 135? 122 What is the remainder when 943 is divided by 178? 53 Calculate the remainder when 6186 is divided by 52. 50 Calculate the remainder when 71 is divided by 24. 23 Calculate the remainder when 415 is divided by 22. 19 What is the remainder when 190 is divided by 81? 28 What is the remainder when 4777 is divided by 84? 73 Calculate the remainder when 38005 is divided by 17. 10 What is the remainder when 117 is divided by 34? 15 What is the remainder when 2162 is divided by 240? 2 What is the remainder when 725 is divided by 106? 89 Calculate the remainder when 218 is divided by 56. 50 What is the remainder when 202 is divided by 7? 6 What is the remainder when 932 is divided by 14? 8 Calculate the remainder when 531 is divided by 40. 11 What is the remainder when 177 is divided by 62? 53 What is the remainder when 831 is divided by 273? 12 What is the remainder when 762 is divided by 758? 4 What is the remainder when 2163 is divided by 259? 91 What is the remainder when 747 is divided by 170? 67 What is the remainder when 845 is divided by 23? 17 Calculate the remainder when 617 is divided by 85. 22 Calculate the remainder when 282 is divided by 32. 26 What is the remainder when 408 is divided by 128? 24 Calculate the remainder when 294 is divided by 47. 12 What is the remainder when 1163 is divided by 32? 11 Calculate the remainder when 250 is divided by 122. 6 Calculate the remainder when 86 is divided by 12. 2 Calculate the remainder when 594 is divided by 190. 24 What is the remainder when 124 is divided by 6? 4 Calculate the remainder when 181 is divided by 139. 42 Calculate the remainder when 472 is divided by 127. 91 Calculate the remainder when 249 is divided by 243. 6 What is the remainder when 4646 is divided by 47? 40 Calculate the remainder when 237 is divided by 31. 20 What is the remainder when 1724 is divided by 14? 2 Calculate the remainder when 94 is divided by 32. 30 What is the remainder when 9367 is divided by 66? 61 What is the remainder when 6419 is divided by 493? 10 What is the remainder when 298 is divided by 17? 9 What is the remainder when 32319 is divided by 10? 9 What is the remainder when 167 is divided by 42? 41 What is the remainder when 4019 is divided by 60? 59 What is the remainder when 180 is divided by 87? 6 What is the remainder when 413 is divided by 37? 6 What is the remainder when 904 is divided by 21? 1 Calculate the remainder when 61 is divided by 16. 13 Calculate the remainder when 2157 is divided by 144. 141 What is the remainder when 158 is divided by 52? 2 Calculate the remainder when 3252 is divided by 180. 12 Calculate the remainder when 7916 is divided by 273. 272 What is the remainder when 289 is divided by 94? 7 Calculate the remainder when 7699 is divided by 110. 109 Calculate the remainder when 3869 is divided by 105. 89 Calculate the remainder when 802 is divided by 369. 64 What is the remainder when 13085 is divided by 32? 29 Calculate the remainder when 763 is divided by 85. 83 What is the remainder when 431 is divided by 52? 15 Calculate the remainder when 389 is divided by 54. 11 What is the remainder when 878 is divided by 67? 7 Calculate the remainder when 117 is divided by 42. 33 Calculate the remainder when 541 is divided by 33. 13 Calculate the remainder when 709 is divided by 22. 5 Calculate the remainder when 33 is divided by 7. 5 Calculate the remainder when 19 is divided by 8. 3 Calculate the remainder when 199 is divided by 71. 57 What is the remainder when 80 is divided by 41? 39 Calculate the remainder when 445 is divided by 28. 25 What is the
{ "pile_set_name": "DM Mathematics" }
1 + 5. Let m(i) be the third derivative of -i**4/24 - i**3/6 - 58*i**2. Let q(n) = d(n) + 4*m(n). Differentiate q(g) wrt g. 16 What is the second derivative of 4535*d**4 - 10 + 654*d + 2857*d + 1854*d**4 + 9 + 574*d**4 wrt d? 83556*d**2 Let n = -359 + 364. Find the third derivative of 5*f**5 - n*f**3 - 10*f**2 - 3 - 3*f**5 - 5*f**2 + 4*f**2 wrt f. 120*f**2 - 30 Let r(p) = 27*p + 140. Let w be r(9). Find the second derivative of -a**3 - 127*a - 24 + w*a - 46*a**5 + 24 wrt a. -920*a**3 - 6*a Suppose -36 - 34 = -14*v. What is the second derivative of -605*h**v - 13 + 178*h**5 + 169*h**5 + h wrt h? -5160*h**3 Differentiate -979 - 74*m**4 - 20*m**4 + 155*m**4 - 17*m**3 - 1009 with respect to m. 244*m**3 - 51*m**2 Let q(z) = -9637*z**2 + 2*z + 4546. Let p(x) = 9636*x**2 - 3*x - 4547. Let o(g) = -2*p(g) - 3*q(g). Differentiate o(i) with respect to i. 19278*i What is the second derivative of 996 + 14*v + 244 - 105 - 15*v - 19 - 507*v**2 wrt v? -1014 Let c(h) be the first derivative of 0*h**4 + 0*h + 133 + 0*h**5 + 0*h**2 - 43*h**3 - 77/3*h**6. What is the third derivative of c(u) wrt u? -9240*u**2 Let r(y) be the second derivative of 0 + 149/6*y**3 - 146*y - 237/2*y**2. Differentiate r(q) with respect to q. 149 Let k = 17329 + -17327. Let o(t) be the first derivative of 0*t**4 + 0*t + 4 + 7/3*t**3 + 0*t**k - 36/5*t**5. What is the third derivative of o(x) wrt x? -864*x Let o(t) = t**2 - 4*t - 21. Let v(i) = 3*i - 17. Let a be v(8). Let l be o(a). Find the third derivative of l*k**3 + 19*k**2 - 2*k**3 + 2*k**3 + 6*k**6 wrt k. 720*k**3 Let y(f) = -84*f**2 + 2*f. Let q be y(-1). Let v = q + 93. What is the third derivative of v*p**2 - 7*p**3 - 6*p**2 - 20*p**2 - p**3 wrt p? -48 Let o(k) be the second derivative of 311*k**5/20 + 1051*k**3/3 + 140*k + 5. What is the second derivative of o(t) wrt t? 1866*t Let n be -6*-2*(-2)/(-8). Suppose o - 2 = -3*u, 55*u - 60*u + 2 = 2*o. Find the second derivative of -8*a**3 + 8*a - 13*a**3 - 7*a**n + u*a**3 wrt a. -156*a Let t(j) be the second derivative of 96*j**4 - j**3/3 + 1747*j**2/2 - 5510*j - 2. Find the first derivative of t(x) wrt x. 2304*x - 2 Let y(k) = -k**3 + 2*k**2 + 4*k + 1. Let h be y(-1). Let w be 5 + h + -7 + 4. What is the third derivative of 107*m**3 - 8*m**2 - 10*m**w - 120*m**3 wrt m? -78 What is the second derivative of 981*x - 1873*x - 11 - 1073*x**2 + 934*x wrt x? -2146 Let d be -2*(4 + 21/(-2)). Differentiate -74*v**3 - 25*v + d*v - 11 + 12*v with respect to v. -222*v**2 Let h = 919 - 914. What is the second derivative of -2*w**4 + 145*w + 11*w**5 + 46 - 20 - 9*w**h - 26 wrt w? 40*w**3 - 24*w**2 Let i(n) be the third derivative of 11*n**5/10 + 53*n**4/24 - 8341*n**3/6 - 2482*n**2. Find the first derivative of i(k) wrt k. 132*k + 53 Differentiate -744 - 668 + 15*v**4 - 17*v**4 - 444*v with respect to v. -8*v**3 - 444 What is the second derivative of -9974*k**2 + 5744*k + 967*k**2 + 2 + 1227*k**2 - 2 wrt k? -15560 Let h(v) be the first derivative of 3/4*v**4 + 0*v**2 + 29 + 8/3*v**3 + 18/5*v**5 - 2*v. Find the third derivative of h(l) wrt l. 432*l + 18 Let b(w) = -904*w**4 - w**3 + 8*w**2 - 6527*w + 6. Let s(i) = 2*i**4 - 4*i**2 - 3. Let t(m) = b(m) + 2*s(m). Find the second derivative of t(v) wrt v. -10800*v**2 - 6*v Suppose 0 = -13*f + 22*f - 27. What is the derivative of -113*v - 132 - 22*v - 49*v + 2*v - f*v wrt v? -185 Let t = -187 + 192. Find the second derivative of t*l**2 - 24*l**2 + 21*l**2 + 115*l + 63*l**4 + 70*l wrt l. 756*l**2 + 4 Let v be (-19)/(-57)*(-2 + 2). Let z(g) be the second derivative of v + 1/4*g**4 + 0*g**3 + 21*g - 1/2*g**2. Find the first derivative of z(n) wrt n. 6*n Let g(s) = -s**4 - 2*s**3 - s**2 + 2*s. Let f(m) = -439*m**4 + 5*m**3 + 11165*m. Let u(l) = -f(l) - 2*g(l). What is the second derivative of u(x) wrt x? 5292*x**2 - 6*x + 4 Let u(d) = 295*d**5 + 230*d**2 - 9*d. Let t(m) = 294*m**5 + 228*m**2 - 12*m. Let o(z) = 3*t(z) - 4*u(z). Find the third derivative of o(b) wrt b. -17880*b**2 Let i(z) = -11*z**2 + 1292*z + 967. Let c(p) = 18*p**2 - 1938*p - 1450. Let h(s) = 5*c(s) + 8*i(s). Differentiate h(f) with respect to f. 4*f + 646 Suppose -2*g + 4 = 2*c + 2*g, -2*g + 2 = -c. Let v be 1 + 2 - (1 - c). Find the third derivative of -43*f**3 - 15*f**v + 26*f**4 + 43*f**3 wrt f. 624*f Let c(d) be the first derivative of 577*d**3 + 3*d**2 + 141*d + 979. What is the second derivative of c(r) wrt r? 3462 Find the second derivative of 926*z - 301*z**4 - 6*z**3 + 3459*z - z**2 - 635 - 520 + 1155 wrt z. -3612*z**2 - 36*z - 2 Let j = 128 - 125. Find the first derivative of 4*h**2 - 5*h**3 - 24 - j*h**2 - 10*h**2 + 2*h**3 wrt h. -9*h**2 - 18*h Let r(m) be the third derivative of -2609*m**5/30 + 2261*m**3/6 - 3*m**2 + 631*m. What is the first derivative of r(s) wrt s? -10436*s What is the second derivative of 51*g**3 + 22*g**4 - 1276*g - 34*g**3 + 8*g**4 - 19*g**3 - 36*g**2 wrt g? 360*g**2 - 12*g - 72 Find the third derivative of -1924*z**6 + 1841*z**6 - 2*z**2 - 22*z**2 - 20 wrt z. -9960*z**3 Let h(f) be the second derivative of 109*f**6 + f**5/20 + f**4/6 + 401*f**3/3 + f**2/2 - 4897*f. Find the third derivative of h(v) wrt v. 78480*v + 6 What is the second derivative of 4*h + 7481 - 14958 + 7496 + 901*h**5 wrt h? 18020*h**3 Let f(j) = -2632*j**2 + 30*j - 2298. Let k(h) = 5262*h**2 - 76*h + 4598. Let u(q) = 5*f(q) + 2*k(q). What is the second derivative of u(g) wrt g? -5272 Let q(x) be the second derivative of 0*x**4 - 7/2*x**3 + 0*x**2 - 197/30*x**6 + 0*x**5 - 81 - x. Find the second derivative of q(n) wrt n. -2364*n**2 What is the third derivative of -1 - 316*m**2 + 96*m**2 + 111*m**2 - 136*m**3 + 1066*m**3 - 831*m**2 wrt m? 5580 Let z(r) be the third derivative of 7639*r**6/120 + r**5/4 + 34*r**3 - 6*r**2 - r - 28. What is the third derivative of z(m) wrt m? 45834 Let p(d) be the second derivative of 9*d**8/56 - 142*d**7/21 + 64*d**4 + d**3/6 + d**2 - 6168*d. What is the third derivative of p(q) wrt q? 1080*q**3 - 17040*q**2 Find the second derivative of 8 + 13 + 33*r - 4*r**5 + 10 + 3598*r**3 + 2*r**5 wrt r. -40*r**3 + 21588*r Let h be (-216)/189 + 64/7. Find the third derivative of -3*r**2 + 9 - h + 3*r**2 - 110*r**4 - 5*r**2 wrt r. -2640*r Let l be -6*1 - (-33 - -23). Find the second derivative of 29*y**2 - 29*y**2 + 2*y**l + 128*y - 10*y**4 wrt y. -96*y**2 What is the second derivative of -913*c + 132*c**3 + 136*c**3 + 16*c**4 + 18*c**4 - 263*c**3 wrt c? 408*c**2 + 30*c Let g(p) be the third derivative of p**7/210 + 393*p**5/20 - 1157*p**4/12 + 2836*p**2. What is the second derivative of g(i) wrt i? 12*i**2 + 2358 Let f = -59 - -61. Let s be (-7 + 4 + f)*-2. What is the third derivative of 21*t**s - 3*t**4 + 59*t - 59*t + t**4 wrt t? -48*t Let r(p) be the third derivative of 2*p**2 - 7/60*p**6 + 1/30*p**5 - 19/6*p**3 + 0*p**4 + 0*p - 17. Find the third derivative of r(j) wrt j. -84 Let c(o) = o + 16. Let d be c(-5). Suppose 2*i + 2*i - d = -m, 26 = 4*m - 2*i. What is the second derivative of -u - 2*u**3 + 0*u - m*u**3 wrt u? -54*u Let x(w) = 135*w + 14042. Let t be x(-104). Let h(b) be the first derivative of 19 + 39/2*b**t - 34*b. What is the first derivative of h(k) wrt k? 39 Suppose -8*j = -21 - 43. Suppose 45*i = 43*i + j. Find the third derivative of 23*s**6 + 29*s**i + 7*s**2 - 29*s**4 - 3*s**2 wrt s. 2760*s**3 Find the second derivative of 728*x + 1622*x - 1136*x**4 - 119*x wrt x. -13632*x**2 Let x(v) = -v**2 - 1. Let r(b) = -2133*b**3 + 8*b**2 - 277. Let q(d) = r(d) + 6*x(d). What is the third derivative of q(k) wrt k? -12798 Let f(u) be the third derivative of -71*u**7/210 + 2*u**5/5 - 1927*u**4/12 + 4*u**2 - 10*u - 12. What is the second derivative of f(k) wrt k? -852*k**2 + 48 Let c(k) = 126*k**2 + 33*k + 2. Let n(x) = 14*x - 632*x**2 - 16 + 5 - 93*x - 85*x. Let u(a) = -11*c(a) - 2*n(a). What is the second derivative of u(d) wrt d? -244 Let o(h) be the second derivative of 379*h**5/5 - 437*h**4/4 + 253*h. Find the third derivative of o(k) wrt k. 9096 Let c(t) be the first derivative of -20*t**4/3 + 17*t**3/2 - 115*t - 57. Let g(p) be the first derivative of c(p). What is the second derivative of g(d) wrt d? -160 Let g(v) = -1513*v**2 - 3*v. Let s(i) = 4540*i**2 + 8*i + 6. Let x(j) = -8*g(j) - 3*s(j). Differentiate x(o) with respect to o. -3032*o Let u
{ "pile_set_name": "DM Mathematics" }
of -257, -513, -765, -1013, -1257, -1497? 2*a**2 - 262*a + 3 What is the b'th term of -964, -954, -930, -886, -816, -714, -574? b**3 + b**2 - 966 What is the m'th term of 279, 324, 379, 450, 543, 664, 819, 1014? m**3 - m**2 + 41*m + 238 What is the w'th term of -419, -415, -397, -359, -295? w**3 + w**2 - 6*w - 415 What is the o'th term of -2, 2, -6, -32, -82, -162, -278, -436? -o**3 + 11*o - 12 What is the p'th term of -87, -126, -191, -282, -399, -542, -711? -13*p**2 - 74 What is the f'th term of 1587, 1586, 1585, 1584? -f + 1588 What is the v'th term of -363, -369, -387, -423, -483, -573? -v**3 + v - 363 What is the s'th term of 122, 240, 354, 464, 570? -2*s**2 + 124*s What is the t'th term of 51, 191, 425, 753, 1175, 1691? 47*t**2 - t + 5 What is the p'th term of -13, -133, -459, -1093, -2137, -3693, -5863? -17*p**3 - p**2 + 2*p + 3 What is the y'th term of -30, -152, -356, -642? -41*y**2 + y + 10 What is the a'th term of -633, -632, -631? a - 634 What is the u'th term of -3134, -3130, -3132, -3146, -3178, -3234, -3320, -3442? -u**3 + 3*u**2 + 2*u - 3138 What is the b'th term of -8, -28, -48, -68, -88, -108? -20*b + 12 What is the a'th term of -8, -43, -104, -191, -304? -13*a**2 + 4*a + 1 What is the x'th term of 5141, 10280, 15419, 20558? 5139*x + 2 What is the o'th term of -438, -878, -1318, -1758? -440*o + 2 What is the y'th term of 13, 15, 15, 13, 9, 3? -y**2 + 5*y + 9 What is the p'th term of -4, 2, 16, 38, 68, 106? 4*p**2 - 6*p - 2 What is the l'th term of -34, -72, -110, -148, -186, -224? -38*l + 4 What is the j'th term of 24829, 24830, 24831, 24832, 24833? j + 24828 What is the l'th term of -269, -267, -263, -257, -249? l**2 - l - 269 What is the b'th term of -15532, -15537, -15552, -15583, -15636? -b**3 + b**2 - b - 15531 What is the u'th term of -10, -10, -18, -40, -82, -150, -250, -388? -u**3 + 2*u**2 + u - 12 What is the l'th term of -2087, -4172, -6257, -8342, -10427, -12512? -2085*l - 2 What is the t'th term of -109, -124, -139, -154? -15*t - 94 What is the z'th term of -45, -33, -17, 3, 27, 55, 87? 2*z**2 + 6*z - 53 What is the q'th term of -16, -15, 0, 29, 72, 129? 7*q**2 - 20*q - 3 What is the g'th term of -221, -444, -667? -223*g + 2 What is the f'th term of -131, -536, -1211, -2156, -3371, -4856? -135*f**2 + 4 What is the x'th term of 33, 177, 417, 753, 1185, 1713? 48*x**2 - 15 What is the s'th term of -144, -295, -448, -603? -s**2 - 148*s + 5 What is the x'th term of 20, 35, 46, 53? -2*x**2 + 21*x + 1 What is the k'th term of 206, 208, 210, 212? 2*k + 204 What is the r'th term of 1219, 1209, 1175, 1105, 987, 809? -2*r**3 + 4*r + 1217 What is the d'th term of 425, 423, 427, 443, 477, 535? d**3 - 3*d**2 + 427 What is the j'th term of 30, 115, 254, 447, 694, 995, 1350? 27*j**2 + 4*j - 1 What is the o'th term of -56, -60, -64, -68, -72? -4*o - 52 What is the v'th term of 35, 67, 97, 125? -v**2 + 35*v + 1 What is the d'th term of 12, 9, 6, 3, 0, -3? -3*d + 15 What is the m'th term of 43, 77, 111, 145? 34*m + 9 What is the o'th term of -69, -60, -45, -24? 3*o**2 - 72 What is the t'th term of -156, -159, -162, -165, -168? -3*t - 153 What is the p'th term of 1183, 1185, 1187? 2*p + 1181 What is the b'th term of 578, 580, 582? 2*b + 576 What is the f'th term of -36, -74, -110, -144, -176, -206? f**2 - 41*f + 4 What is the i'th term of 864, 869, 884, 915, 968? i**3 - i**2 + i + 863 What is the i'th term of 2040, 2042, 2044, 2046? 2*i + 2038 What is the z'th term of -105, -208, -315, -426, -541, -660? -2*z**2 - 97*z - 6 What is the y'th term of 23, 13, -19, -85, -197, -367, -607? -2*y**3 + y**2 + y + 23 What is the a'th term of -12177, -12178, -12179? -a - 12176 What is the l'th term of -290, -285, -278, -269, -258, -245? l**2 + 2*l - 293 What is the v'th term of 4, 14, 32, 58, 92, 134? 4*v**2 - 2*v + 2 What is the j'th term of -19, -63, -137, -241? -15*j**2 + j - 5 What is the g'th term of -67, -65, -63, -61, -59? 2*g - 69 What is the l'th term of -140, -126, -94, -38, 48? l**3 + 3*l**2 - 2*l - 142 What is the x'th term of 9, -15, -71, -171, -327? -2*x**3 - 4*x**2 + 2*x + 13 What is the f'th term of 153, 154, 155, 156, 157? f + 152 What is the y'th term of 245, 287, 361, 473, 629, 835, 1097, 1421? y**3 + 10*y**2 + 5*y + 229 What is the v'th term of 308, 305, 300, 293, 284? -v**2 + 309 What is the j'th term of 49, 103, 171, 259, 373, 519, 703? j**3 + j**2 + 44*j + 3 What is the a'th term of -15, -140, -479, -1140, -2231? -18*a**3 + a**2 - 2*a + 4 What is the b'th term of -37, -75, -113? -38*b + 1 What is the d'th term of -6, -28, -64, -114, -178? -7*d**2 - d + 2 What is the t'th term of -23, -32, -33, -20, 13, 72, 163? t**3 - 2*t**2 - 10*t - 12 What is the b'th term of -3, -37, -95, -177? -12*b**2 + 2*b + 7 What is the m'th term of 2770, 5537, 8304, 11071, 13838, 16605? 2767*m + 3 What is the o'th term of 114, 187, 380, 753, 1366, 2279, 3552? 10*o**3 + 3*o + 101 What is the l'th term of 41, 154, 341, 602, 937? 37*l**2 + 2*l + 2 What is the n'th term of 490, 507, 514, 505, 474, 415, 322? -n**3 + n**2 + 21*n + 469 What is the c'th term of -4, -29, -60, -91, -116, -129? c**3 - 9*c**2 - 5*c + 9 What is the q'th term of 94, 401, 906, 1603, 2486, 3549, 4786, 6191? -q**3 + 105*q**2 - q - 9 What is the y'th term of -12644, -12650, -12658, -12668, -12680? -y**2 - 3*y - 12640 What is the x'th term of 17, 96, 227, 410, 645, 932? 26*x**2 + x - 10 What is the k'th term of -6, -41, -94, -159, -230, -301? k**3 - 15*k**2 + 3*k + 5 What is the o'th term of -213, -425, -637, -849? -212*o - 1 What is the k'th term of -37, -62, -101, -160, -245, -362, -517? -k**3 - k**2 - 15*k - 20 What is the k'th term of 14, 11, -10, -61, -154, -301, -514? -2*k**3 + 3*k**2 + 2*k + 11 What is the l'th term of 19724, 39446, 59170, 78896, 98624, 118354, 138086? l**2 + 19719*l + 4 What is the q'th term of 27, 63, 113, 177, 255, 347? 7*q**2 + 15*q + 5 What is the k'th term of -78, -58, -26, 18, 74? 6*k**2 + 2*k - 86 What is the h'th term of 30583, 30586, 30591, 30598? h**2 + 30582 What is the a'th term of -8, -3, 6, 19, 36, 57, 82? 2*a**2 - a - 9 What is the a'th term of -258, -291, -324? -33*a - 225 What is the y'th term of 2056, 4116, 6176, 8236, 10296, 12356? 2060*y - 4 What is the m'th term of -62, -42, -8, 40, 102, 178, 268? 7*m**2 - m - 68 What is the b'th term of -1383, -2772, -4163, -5556, -6951, -8348? -b**2 - 1386*b + 4 What is the f'th term of 596, 604, 612, 620? 8*f + 588 What is the i'th term of -263, -526, -789, -1052, -1315? -263*i What is the s'th term of -357, -356, -341, -306, -245, -152, -21? s**3 + s**2 - 9*s - 350 What is the l'th term of -5045, -5044, -5043, -5042, -5041, -5040? l - 5046 What is the s'th term of 9, 20, 33, 48, 65? s**2 + 8*s What is the s'th term of -771, -772, -775, -780, -787? -s**2 + 2*s - 772 What is the d'th term of -423, -421, -417, -411? d**2 - d - 423 What is the r'th term of -278, -1111, -2500, -4445, -6946? -278*r**2 + r - 1 What is the d'th term of 440, 913, 1412, 1949, 2536? 2*d**3 + d**2 + 456*d - 19 What is the v'th term of 694, 706, 730, 772, 838, 934? v**3 + 5*v + 688 What is the g'th term of -68, -83, -110, -155, -224, -323? -g**3 - 8*g - 59 What is the c'th term of 371, 383, 399, 419, 443, 471? 2*c**2 + 6*c + 363 What is the r'th term of 30, 27, 24, 21, 18? -3*r + 33 What is the f'th term of -6, -2, 2? 4*f - 10 What is the o'th term of -26, -22, -16, -8? o**2 + o - 28 What is the z'th term of 305, 621, 951, 1301, 1677, 2085, 2531? z**3 + z**2 + 306*z - 3 What is the o'th term of 628, 617, 592, 547, 476? -o**3 - o**2 - o + 631 What is the g'th term of -16096, -32194, -48292, -64390, -80488? -16098*g + 2 What is the y'th term of -501, -523, -557, -597, -637, -671, -693, -697? y**3 - 12*y**2 + 7*y - 497 What is the o'th term of 0, 43, 122, 237, 388, 575, 798? 18*o**2 - 11*o - 7 What is the v'th term of 149, 299, 449, 599? 150*v - 1 What is the m'th term of 46, 126, 252, 418, 618, 846? -m**3 + 29*m**2 + 18 What is the k'th term of -36840, -36841, -36842, -36843, -36844, -36845? -k - 36839 What is the z'th term of 82, 201, 328, 469, 630, 817? z**3 - 2*z**2 + 118*z - 35 What is the i'th term of -269, -271, -273, -275? -2*i - 267 What is the q'th term of -15179, -30361, -45543, -60725, -75907, -91089? -15182*q + 3 Wh
{ "pile_set_name": "DM Mathematics" }
4. Let o be 0 + 4 + -2 + -5. Calculate o*l(i) + 7*b(i). -2*i + 1 Let c(b) be the first derivative of -11*b**2 + 12*b + 1. Let h(n) = -27*n + 22. Let d(a) = -9*a + 7. Let f(o) = 7*d(o) - 2*h(o). Calculate 5*c(g) - 12*f(g). -2*g Suppose -2*j = 8, j = 5*r + 15 - 99. Let w be r/24 - (-8)/6. Let p(u) = -4 - 2 + w*u + 0*u + 0*u. Let h(g) = -2*g + 5. Give 6*h(b) + 5*p(b). -2*b Let h(u) = -5*u + 2 + 2 + 2*u. Let n(j) = 7 + j - 9 + 1. Determine -h(c) - 5*n(c). -2*c + 1 Let m = 11 + -9. Let j be (8/14)/(m/7). Let d be 3/((-2)/(-1) - 3). Let y(z) = -4*z**2. Let v(s) = -3*s**2. Calculate d*v(t) + j*y(t). t**2 Let r(b) = b**3 + 2*b + 24. Let u(v) = 3*v**3 + 4*v + 47. Determine -5*r(z) + 2*u(z). z**3 - 2*z - 26 Let f(t) = -t. Let u(k) = 14*k. Let r(d) = -9*d. Let v(y) = 8*r(y) + 5*u(y). Calculate -2*f(c) - v(c). 4*c Let l(u) = -u**3 + u**2 + u. Let s(d) = 5*d**3 - 4*d**2 - 4*d - 2. Calculate -4*l(o) - s(o). -o**3 + 2 Let z(c) be the first derivative of 13*c**4/4 - 4*c**3/3 + 5*c**2 - 7*c + 36. Let j(l) = -4*l**3 + l**2 - 3*l + 2. What is 7*j(m) + 2*z(m)? -2*m**3 - m**2 - m Let m(l) = -3*l**2 + 5*l - 11. Let a(g) = -2*g**2 + 4*g - 10. Let r(y) = -5*a(y) + 4*m(y). Let s(w) = 2*w**2 + w**2 - w**2 - 5. Give -5*r(o) - 6*s(o). -2*o**2 Let x(h) = h**2 + 6 + 2 - 1 - 4. Let o(p) = 2*p**2 + 8. What is 3*o(j) - 8*x(j)? -2*j**2 Let c(z) = -7*z + 1. Let h be 15/10 + (-3)/2. Let j(r) be the third derivative of 0 - 2*r**2 - 1/6*r**3 + h*r + 1/4*r**4. What is -4*c(k) - 5*j(k)? -2*k + 1 Let i(n) = 1. Suppose 5*c - 7 = -22. Let m(r) = 7*r + 4. Let a(j) = -j - 1. Let h(x) = -6*a(x) - m(x). What is c*i(y) + 2*h(y)? -2*y + 1 Let s(c) = -3*c**2 - 8*c + 12*c + 10*c. Let w(p) = -p**2 + 5*p. Suppose 0 = -5*z + x + 79, -52 = -0*z - 3*z - 4*x. Let q = -24 + z. What is q*w(o) + 3*s(o)? -o**2 + 2*o Let n be (2/1)/2*-1. Let w be -4 + 12/4*n. Let p(t) = 3*t - 1. Let f(u) be the first derivative of u**3/3 + 5*u**2 - 4*u + 1. What is w*p(k) + 2*f(k)? 2*k**2 - k - 1 Let b(f) = -2*f + 3. Let w(r) = 4*r + 7 + r - 15. Let d = 15 - 15. Suppose -4*s + j + 7 = 0, d*s = 5*s - 3*j. What is s*w(v) + 8*b(v)? -v Let t(o) = 18*o + 4. Let b(w) = -36*w - 9. Give 6*b(k) + 13*t(k). 18*k - 2 Let p(g) = g. Let t(r) = 6*r. Let x be 0 - -1 - 4/(-2). Let d be (-2)/(-3)*x/2. Suppose -5 - d = 3*u. What is u*t(j) + 11*p(j)? -j Let q(d) = -22*d**2 - 7*d - 7. Let i(h) = -22*h**2 - 6*h - 6. What is -7*i(j) + 6*q(j)? 22*j**2 Let m(a) = 7*a**2 - 5*a - 5. Let c(y) = 8*y**2 - 6*y - 4. Let x(z) = -3*c(z) + 4*m(z). Let w(t) = -t**2 + 1. Give 6*w(f) + x(f). -2*f**2 - 2*f - 2 Let a(b) = b + 2. Let r(p) = -p - 1. Let i(n) = -2*a(n) - 4*r(n). Let z(y) = -4*y + 1. Determine -7*i(x) - 3*z(x). -2*x - 3 Let j(h) = h**2 + 4*h + 4. Let l = 5 - 1. Let c(y) = 2*y**2 + 9*y + 9. Determine l*c(d) - 9*j(d). -d**2 Let j(p) = 2*p - 4. Let l be (1 + -4)*(-22)/(-6). Let v = -15 - l. Let o(r) = -5*r + 11. Give v*o(q) - 11*j(q). -2*q Let q(z) = 3*z**3 + 3*z**2 + 6. Let b be ((-30)/(-35))/((-6)/(-28)). Let n(o) = -10*o**2 - 2*o**3 + 9*o**2 + o**3 - 2. What is b*q(l) + 11*n(l)? l**3 + l**2 + 2 Let c(y) = -11*y + 17. Let d(n) = 2 + 9 - 3 - 5 - 2*n. Suppose 4 = 3*j - z - 103, -112 = -3*j + 2*z. Calculate j*d(v) - 6*c(v). -2*v Let c(o) = -13*o**3 + 3*o**2 + 5*o + 4. Let x(g) = -13*g**3 + 2*g**2 + 4*g + 3. Give -4*c(p) + 5*x(p). -13*p**3 - 2*p**2 - 1 Let o be 2*(1 - (-1)/2). Suppose -2*j = 4*h - o*j + 1, 5*h - j = 0. Let b(n) = -n**3 + n**2 - n. Let k(g) = -5*g**3 + 4*g**2 - 4*g - 2. What is h*k(r) - 4*b(r)? -r**3 - 2 Let a(v) = 2*v**2 - 2. Suppose -5*j - u = -15, -u = 4*j + 4 - 17. Let i(y) = -1. Determine j*i(o) - a(o). -2*o**2 Suppose -4*b + 4 = -3*b. Let t(u) = -5*u**3 - 5*u**2 - 11*u. Let k(z) = -2*z**3 - 2*z**2 - 5*z. What is b*t(o) - 9*k(o)? -2*o**3 - 2*o**2 + o Let g(t) = 40*t - 3. Let v(w) = 20*w - 1. Give 3*g(i) - 7*v(i). -20*i - 2 Suppose 2*m + 3*m = 0. Let f(g) = 2 + m - 2 + 2*g + 1. Let u(y) = -2 - y + 4*y + 4. Calculate -4*f(c) + 3*u(c). c + 2 Suppose 9*q = 5*q + 20. Let i(u) = 8*u**2 - 5*u - 5. Let o(x) be the first derivative of -7*x**3/3 + 2*x**2 + 4*x - 3. What is q*o(m) + 4*i(m)? -3*m**2 Let x(g) = g - 2. Let o = -17 + 24. Let j(l) = -8*l - 3. Let y(n) = 23*n + 8. Let k(r) = 17*j(r) + 6*y(r). Let h = 6 - 10. Determine h*k(t) + o*x(t). -t - 2 Let k(n) be the third derivative of n**5/15 - n**4/8 + 3*n**2. Let l(p) = p**2 - p - 3 + 3. Determine -k(q) + 3*l(q). -q**2 Let t(s) = s**3 + 4*s. Let r(z) = -3*z + 1. Determine 4*r(l) + 3*t(l). 3*l**3 + 4 Let m(p) = -p**3 - p**2 - p. Let i(c) = 4*c**3 + 3*c**2 + 6*c. Suppose -a = 3*s + 1 + 1, a + 3 = -2*s. Calculate s*i(z) + 3*m(z). z**3 + 3*z Let f(v) = v. Let c(r) = 2*r - 3*r + 4 + 0*r. Let o be c(7). Let q(s) = -4*s + 18 - 39 + 23. Determine o*f(i) - q(i). i - 2 Suppose 4*j = 2*j - 2. Let r(n) = -n**2 - 4*n + 1. Let d(b) be the first derivative of -b**2/2 - 4. What is j*r(h) + 6*d(h)? h**2 - 2*h - 1 Let n(a) = -3*a**2 - 15*a. Let s be 1 - 4 - (2*15)/(-3). Let y(l) = l**2 + 7*l. What is s*y(u) + 3*n(u)? -2*u**2 + 4*u Let k(g) = -7*g**3 - g**2 + 6*g**3 - 1 + 1 + 1 - g. Let p(v) = 4*v**3 + 2*v**2 + 2*v - 4. Suppose -7 = -4*x - 3. What is x*p(u) + 2*k(u)? 2*u**3 - 2 Let w(a) = -a**3 + 5*a**2 - 23*a - 6. Let n(b) = b**3 - 6*b**2 + 24*b + 7. Calculate 5*n(t) + 6*w(t). -t**3 - 18*t - 1 Suppose -g - 2 = -4. Let k be (2/3)/(g/15). Let s(l) = 1. Let u(z) = -10*z + 4 - 2*z - 3*z + 16*z. What is k*s(o) - u(o)? -o + 1 Let l(z) = -13*z**2 + 4*z - 10*z**2 + 18*z**2 - 4. Let c(m) = -70*m**2 + 55*m - 55. Determine 4*c(i) - 55*l(i). -5*i**2 Let j = -3 - -6. Suppose -2*n + 5*n - j = -g, -2*n - 8 = -g. Let i be g/4*(-6)/9. Let b(o) = -o**2 - o. Let h(f) = 5*f**2 + 8*f + 1. Give i*h(s) - 6*b(s). s**2 - 2*s - 1 Let o be ((-2)/2 - 1)/2. Suppose -5*c + 19 = 4*r, 3*r - 6 = 2*c - 3*c. Let t(u) = c*u - u + 1 + 0*u - u. Let g(z) = -3*z - 4. Determine o*g(x) - 4*t(x). -x Let l(v) = v**2 - 2*v + 17. Let u(z) = 2*z**2 - 5*z + 35. Give 5*l(f) - 2*u(f). f**2 + 15 Suppose 42 = 4*r - 14. Let k(j) = -r*j - 7 - 6 - 10. Let i(x) = -8 + x - 4*x - 2*x. What is 17*i(y) - 6*k(y)? -y + 2 Let w(m) = 26*m**2 + 6*m + 10. Let c(b) = 9*b**2 + 2*b + 3. Give -10*c(d) + 3*w(d). -12*d**2 - 2*d Let t(i) = 2*i - 2. Let x(o) be the second derivative of 2*o**3/3 - 3*o**2/2 + 7*o. Calculate -5*t(y) + 3*x(y). 2*y + 1 Let g(i) = -3*i + 3. Let f(l) = l + 1. What is 4*f(d) - g(d)? 7*d + 1 Let c(s) = -1. Let p(l) = -7 + 2*l**3 + 5*l**3 - 4*l**3. Determine 6*c(q) - p(q). -3*q**3 + 1 Let c(s) = -s**2 - 3*s. Let b(f) = 21*f + 0 + 0 - 23*f. What is -3*b(d) + 2*c(d)? -2*d**2 Let b(r) be the third derivative of -r**3/6 + r**2. Let c be 1/(-3)*(1 - 4). Let w(x) = -x. Give c*w(d) - b(d). -d + 1 Let n(d) = -2*d + 1 + 0 + 8. Suppose 2*m - 30 = -36. Let z(s) = -s + 4. Calculate m*n(b) + 7*z(b). -b + 1 Let p(k) = -8*k**2 - 9*k + 2. Let y(h) = 12*h**2 + 13*h - 3. What is -8*p(m) - 5*y(m)? 4*m**2 + 7*m - 1 Let c(m) = -4*m + 2. Let y(r) = 2*r + 4*r - 13 + 8*r - 1. Let z(q) = 5*q - 5. Let p(g) = 4*y(g) - 11*z(g). Calculate 2*c(i) + 6*p(i). -2*i - 2 Let v(w) = -1. Let q(d) = 2*d + 17. What is -q(x) - 2*v(x)? -2*x - 15 Let u(h) = -2*h**2 + 3*h + 3. Let n(k) = -6*k**2 + 9*k + 8. Give -4*n(w) + 11*u(w). 2*w**2 - 3*w + 1 Let n(k) = -3*k**3 + 2*k**2 - 2*k + 2. Let y(r) = 50*r**3 - 35*r**2 + 35*r - 35. Let g be 9/(-3)*175/15. Calculate g*n(z) - 2*y(z). 5*z**3 Let q(j) = -21*j**3 + 4*j - 4. Let t(v) = 105*v**3 - 21*v + 21. Determine 21*q(y) + 4*t(y). -21*y**3 Let j(t) = -7*t**2 + 4*t - 3. Let v(n) = -n**2 - 12*n - 13. Let l be v(-11). Let q(y) = 6*y**2 - 3*y + 2. Calculate l*j(o) - 3*q(o). -4*o**2 + o Let p(v) = -7*v - 9. Let b = -108 - -110. Let i(u) = -3*u - 4. Determine b*p(a) - 5*i(a). a + 2 Let s(z) = 8*z + 1. Let j(q) = -q - 1. Give -3*j(t) - s(t). -5*t + 2 Let b(n) be the third derivative of n**4/24 - n**3/2 - 5*n**2. Let y(o) = 1. Calculate b(u) + 3*y(u). u Let q(c) = -5 - 2 + 6*c + 2. Let t(w) = 7*w - 6. Give -6*q(m) + 5*t(m). -m Let w(f) = f**2 + 2*f + 1. Let z(y) = 3*y**2 + 5*y + 2. Let j be (2/3)/(20/(-150)). What is j*w(g) + 2*z(g)? g**2 - 1 Let n(p) = p**2 - p. Let o(b) be the first derivative of 4*b**3/3 - 2*b**2 - 2. Calculate -7*n(i) + 2*o(i). i**2 - i Let c(d) = -61*d - 16. Let w(m) = 12*m + 3. What is 2*c(s) + 11*w(s)? 10*s + 1 Let c be 6/9 + (-32)/(
{ "pile_set_name": "DM Mathematics" }
. 645*a**2 Collect the terms in -13*b - 16*b - 17*b + 63*b - 14 - 16*b. b - 14 Collect the terms in -22*l + 36*l - 6 + 0*l - 9*l. 5*l - 6 Collect the terms in 735*r**2 + 741*r**2 + 12 - 1472*r**2. 4*r**2 + 12 Collect the terms in 17 - 17 + 3518*u. 3518*u Collect the terms in -94*u + 413*u - 116 - 2*u**2 + 116. -2*u**2 + 319*u Collect the terms in 727*z**2 - 701*z**2 - 3 + 0 + 3. 26*z**2 Collect the terms in 92*w + 13*w**3 - 92*w + 3*w**2. 13*w**3 + 3*w**2 Collect the terms in 9268996 - 9268996 - 2*z**2. -2*z**2 Collect the terms in 240*y**3 - 466*y**3 + 220*y**3. -6*y**3 Collect the terms in 40*u**2 - 49619*u + 49619*u. 40*u**2 Collect the terms in -616*u - 59*u**2 + 206*u + 207*u + 203*u. -59*u**2 Collect the terms in s**3 + 31*s**2 + 88*s**2 - 119*s**2 + 5*s. s**3 + 5*s Collect the terms in -19*w + 64*w - 2*w**2 + 10 - 3*w - 19*w - 23*w. -2*w**2 + 10 Collect the terms in -21*v + 36*v**2 + 35*v**3 - 2*v**3 - 36*v**2. 33*v**3 - 21*v Collect the terms in 3*m**2 + 1279239936 - 1279239936. 3*m**2 Collect the terms in 5 + 96*r**3 + 1 - 6. 96*r**3 Collect the terms in 2*u - 1825*u**2 - 2*u + 1824*u**2. -u**2 Collect the terms in 37*v**2 - 88*v**2 + 43*v**2 + 35*v**2. 27*v**2 Collect the terms in -292*f + 908*f - 296*f + 93*f**2 - 320*f. 93*f**2 Collect the terms in -850*h**2 + 480*h**2 + 372*h**2. 2*h**2 Collect the terms in 7363690 - 7363690 - 3*y. -3*y Collect the terms in -277 + 277 + 23*j**2. 23*j**2 Collect the terms in 29 + 4 + 0*c - 26 + 2*c + 51. 2*c + 58 Collect the terms in 61*s**2 + 63*s**2 + 65*s**2 - 248*s**2 + 61*s**2. 2*s**2 Collect the terms in -21*s**3 + s**3 + 0*s + 24*s**3 + 0*s. 4*s**3 Collect the terms in 19949*p + 19871*p - 39819*p. p Collect the terms in 206*x + 41849 - 41849. 206*x Collect the terms in 4*a + 187 - 187 - 7*a. -3*a Collect the terms in 10*k + 3*k + 2*k + 2*k + 16 + 5*k. 22*k + 16 Collect the terms in -4*t + 32 - 14 + 36*t. 32*t + 18 Collect the terms in 91*w**2 - 208*w**2 + 105*w**2 - 16. -12*w**2 - 16 Collect the terms in 66 - 93964*v + 93965*v + 42. v + 108 Collect the terms in 141 + 98*b - 143 + 60*b. 158*b - 2 Collect the terms in 5829782*v**2 - 5829780*v**2 + 3*v - 3*v. 2*v**2 Collect the terms in 584*t**3 - 1250*t**3 + 704*t**3. 38*t**3 Collect the terms in -149*n**3 + 405*n**3 - 132*n**3 - 140*n**3. -16*n**3 Collect the terms in -94406*a + 188814*a - 94356*a. 52*a Collect the terms in -19*g**2 + 39*g**2 - 1 + 0 + 1 - 11*g**2. 9*g**2 Collect the terms in n**3 - 43*n**3 + 41*n**3 + 5*n**2. -n**3 + 5*n**2 Collect the terms in -318*f**2 + 95*f - 95*f - 498*f**2. -816*f**2 Collect the terms in 5*q**2 - 7*q**3 - 11*q**3 - 5*q**2 + 7*q**2. -18*q**3 + 7*q**2 Collect the terms in -180*r**2 - r - 133*r**2 + 102*r**2. -211*r**2 - r Collect the terms in -41*m**2 + 172*m**2 - 160*m**2 - 426*m**2 - 473*m**2. -928*m**2 Collect the terms in -71*n**2 + 65*n**2 - 19*n + 19*n. -6*n**2 Collect the terms in -146*c + c**3 + 72*c + 67*c + 7*c**3. 8*c**3 - 7*c Collect the terms in 160*s**2 - 53*s**2 - 47*s**2 - 56*s**2 - 34*s**2. -30*s**2 Collect the terms in 38072*q**2 + 1 + 0 - 1. 38072*q**2 Collect the terms in -3*i**3 - 76*i**3 + 0*i**3. -79*i**3 Collect the terms in -33*m**3 + 12744201*m**2 - 12744201*m**2. -33*m**3 Collect the terms in -14 + 8 - 935*u**3 + 6. -935*u**3 Collect the terms in 92*i - 5*i**3 - i**3 - 52*i + i**3. -5*i**3 + 40*i Collect the terms in 3231*d**2 - 4825*d**2 - 73313*d**2. -74907*d**2 Collect the terms in -3434*v**2 + 262*v**2 + 503*v**2. -2669*v**2 Collect the terms in -426 - 423 + 56*u + 849 - 6*u. 50*u Collect the terms in 6*f**2 + 4*f**2 + 24813 - 5*f**2. 5*f**2 + 24813 Collect the terms in 32*a + 5*a + 7*a + 53*a. 97*a Collect the terms in -442*h**2 + 107*h**2 + 109*h**2 + 107*h**2 + 96*h**2. -23*h**2 Collect the terms in -17 + 3 + 6 - 10*l + 9 - 53*l. -63*l + 1 Collect the terms in -14*a**3 - 12*a**3 - 17*a**3 + 13*a**3. -30*a**3 Collect the terms in -3*g + 2*g - 4*g**3 + 0*g**3 + 18642 + g**3. -3*g**3 - g + 18642 Collect the terms in -6225*p**2 + 6*p - 6223*p**2 + 12445*p**2. -3*p**2 + 6*p Collect the terms in -g**2 - 3*g + 11*g**2 - 8*g**2 + 11*g**2. 13*g**2 - 3*g Collect the terms in -26*u - 6*u + 59*u - 220 + 220 - 14*u. 13*u Collect the terms in 570*u + 575*u + 154*u**2 - 1145*u + 3*u**2. 157*u**2 Collect the terms in 76*r + 49*r - 100*r - 24*r. r Collect the terms in 109*w - 79*w - 32*w. -2*w Collect the terms in -617*p**3 + 1280*p**3 - 625*p**3. 38*p**3 Collect the terms in -56*h - 2703439 + 2703439. -56*h Collect the terms in 33780*s - 16912*s - 16870*s. -2*s Collect the terms in -410639*j**2 + 205310*j**2 + 205331*j**2. 2*j**2 Collect the terms in 1175 - 300 - b - 293 - 293 - 293. -b - 4 Collect the terms in 3*a**3 - 11*a**2 - 11*a**3 - a**3. -9*a**3 - 11*a**2 Collect the terms in 31*c**3 - 71*c**3 + 32*c**3 + 6*c**3 + 24*c**3. 22*c**3 Collect the terms in -4 - 8*c**2 + 8734*c - 8734*c + 4 + 2*c**2. -6*c**2 Collect the terms in -124*x**2 - 133*x**2 - 43 - 125*x**2 + 384*x**2. 2*x**2 - 43 Collect the terms in -98*b + 49*b + 50*b + 66 - 86. b - 20 Collect the terms in -4 - 4 - 4*f**2 - 2*f**2 - 45*f**3 + 3. -45*f**3 - 6*f**2 - 5 Collect the terms in 463*c - 1 + 457*c - 917*c. 3*c - 1 Collect the terms in -1332 - 6*h**2 + 649 + 6*h**2 + 6*h**3 + 683. 6*h**3 Collect the terms in -338*o - 1563*o**3 + 1571*o**3 + 338*o. 8*o**3 Collect the terms in -2402*m - 127*m**2 + 2402*m. -127*m**2 Collect the terms in 311*b + 23328 - 23328. 311*b Collect the terms in 596*r**3 + 597*r**3 - 2387*r**3 + 593*r**3 + 596*r**3. -5*r**3 Collect the terms in -25311*y**2 - 9*y + 8*y + 25288*y**2. -23*y**2 - y Collect the terms in -38*v + 987 - 987. -38*v Collect the terms in 8*y**3 - 52*y**3 - 21*y**3. -65*y**3 Collect the terms in -l - 894*l**2 + 585*l**2 - 784*l**2 + l. -1093*l**2 Collect the terms in -2392 + 4785 - 2393 - 10*g**3. -10*g**3 Collect the terms in 78*h**3 - 10*h**2 + 10*h**2 + 248*h**3 + 306*h**3. 632*h**3 Collect the terms in -1268*y**3 + 905*y**3 + 386*y**3. 23*y**3 Collect the terms in -172*h + 124*h - 127*h. -175*h Collect the terms in -140290*w**3 + 280576*w**3 - 12 - 140288*w**3. -2*w**3 - 12 Collect the terms in -3 - 126192*w + 12814*w + 3. -113378*w Collect the terms in -5087*v**2 + 2243*v**2 + 2853*v**2. 9*v**2 Collect the terms in -119*c**3 - 156*c**3 - 5 - 1364*c**3 + 6 - c**2. -1639*c**3 - c**2 + 1 Collect the terms in -3162*g - 2 - 6 + 8 + 3144*g. -18*g Collect the terms in -16*g - 25*g - 23*g + 118*g - 23*g - 20*g. 11*g Collect the terms in 703*a - 703*a + 604*a**3. 604*a**3 Collect the terms in 4796*n + 23*n**3 - 4796*n. 23*n**3 Collect the terms in -6483 + 6483 + 46*r**2 + 26*r**2. 72*r**2 Collect the terms in 70*k**3 - 218*k**3 + 147*k**3. -k**3 Collect the terms in 26*z**3 + 940 - 940 + 154*z**3. 180*z**3 Collect the terms in -13*u**2 + 8*u - 7*u**2 - 4*u**2 + 28*u**2 - 12*u**2. -8*u**2 + 8*u Collect the terms in 3*c - 9*c + 6*c - 62*c**2. -62*c**2 Collect the terms in -4240*v**2 + 1421*v**2 + 1414*v**2 + 1406*v**2. v**2 Collect the terms in -6*b**3 + 23*b**3 + 37*b**3. 54*b**3 Collect the terms in 11*s**3 + 29*s - 8*s - 13*s - 48*s**3. -37*s**3 + 8*s Collect the terms in -f + 168*f**2 + 123*f**2 - 335 + 335. 291*f**2 - f Collect the terms in 5*m - 16*m - 23*m + 24*m. -10*m Collect the terms in 24*g + 374*g**3 - 368*g**3 + 11*g. 6*g**3 + 35*g Collect the terms in 995*v**3 + 9372153*v - 9372153*v. 995*v**3 Collect the terms in 27*c**2 + 88*c**2 - 33*c**2 + 2*c + 20*c**2. 102*c**2 + 2*c Collect the terms in -4*m + 0*m**2 + 11*m - 3*m**2 + 11*m. -3*m**2 + 18*m Collect the terms in -5*h - 44153 + 14720 + 14712 + 14721. -5*h Collect the terms in 91 - 52 - 49 + 6*w. 6*w - 10 Collect the terms in -206*q + 628*q - 213*q - 213*q. -4*q Collect the terms in -1214*i + 589*i - 4 + 630*i. 5*i - 4 Collect the terms in -77*f + 1 - 128*f - 60*f - 116*f + 281*f. -100*f + 1 Collect the terms in 12 - 12 + 33768*a - 33767*a. a Collect the terms in 2*i**2 - 8 - 55 + 71 - 8. 2*i**2 Collect the terms in -205*o - 230*o - 297*o - 144*o + 661*o. -215*o Collect the terms in 130 + 125 + 124 - 380 + 47*s. 47*s - 1 Collect the terms in 1317*q + 1677*q - 1090*q. 1904*q Collect the terms in 29 - 424*m**2 - 18 - 11. -424*m**2 Collect the terms in -3035*u + 1018*u + 1013*u + 1004*u + 20*u**2. 20*u**2 Collec
{ "pile_set_name": "DM Mathematics" }
= 23.34 + -21.6. Let x = -2.004 + 0.337. Let a = x + y. What is a rounded to 2 dps? 0.07 Let z be (-40050)/7*(-588)/9. What is z rounded to the nearest 10000? 370000 Suppose -2*a = -3*a + 2. Suppose n + a = 7. Let q(u) = 12*u**2 - 12*u. Let h be q(n). What is h rounded to the nearest 100? 200 Let w = -391561.99 - -408549.5. Let x = w + -17075. Let h = x - -88. What is h rounded to one dp? 0.5 Let p = -8509 + 4895. Round p to the nearest one thousand. -4000 Let x = 0.001 - 28.001. Let d = 597.2037102 - 625.20371. Let l = x - d. What is l rounded to seven dps? -0.0000002 Let s = -74 - -138. Let a = s + -64.00044. Round a to 4 dps. -0.0004 Let d = -102.25 + 104. Let a = -2 + d. What is a rounded to two dps? -0.25 Let m = -10.7 - -12. Let d = 2.1 + -3.9. Let j = d + m. What is j rounded to one decimal place? -0.5 Suppose -7*f + 6 = -1. Let q be (-113 - -1)*f*500. Round q to the nearest ten thousand. -60000 Let n = -31 - -115. Let h = -415.6 - -508. Let w = n - h. Round w to 0 dps. -8 Let k = -3.66 + 57.16. Round k to the nearest 10. 50 Let r = -45.1 + -9.9. Let a = r + 54.99971. Round a to four decimal places. -0.0003 Let y = -972 + 1089.3. Round y to the nearest integer. 117 Let k = -52.585 + -0.715. Round k to the nearest integer. -53 Let n = -0.08 - 0.29. Let y = n + -4.03. Round y to the nearest integer. -4 Suppose 3*y = 2*l - 5246015, -4*y = -5*l + 3*l + 5246020. Round l to the nearest 100000. 2600000 Let t = 7366.1 - 7366.141999872. Let k = t + 0.042. What is k rounded to 7 dps? 0.0000001 Let o = -18.8 + 18. Let h = o + 1. Round h to the nearest integer. 0 Suppose 5*w = 2*x - x + 132000083, -x = 3. Suppose -5*p = -p - 4*b - w, -p + 6599984 = 4*b. What is p rounded to the nearest 1000000? 7000000 Suppose 0 = -35*z + 54*z - 716300. Round z to the nearest 1000. 38000 Let z = 373.92 - 371. Round z to one dp. 2.9 Let n = -91427.90024 - -91431. Let p = n + -3.1. What is p rounded to four dps? -0.0002 Let p = 27.69999899 - 27.7. Round p to six dps. -0.000001 Let x = -155 + 154.766. Round x to 1 decimal place. -0.2 Let d = -34.042 + 0.342. Let n = d - -32. Let r = n + 1.70000004. What is r rounded to 7 decimal places? 0 Let c = 219.475 - 0.475. Let s = 3379692 - 3379910.9889. Let u = c + s. What is u rounded to three dps? 0.011 Let b = 1380.76 + -1256.5. Let c = b - 122. Round c to the nearest integer. 2 Let j = -148.8 + -12.2. Let t = 161.0000505 + j. Round t to six dps. 0.000051 Let f = -177.525 + 0.325. Round f to the nearest ten. -180 Let l = 58.958 - 59. Let u = 0.04200078 + l. Round u to 7 decimal places. 0.0000008 Suppose 0 = 5*c - 1000 + 85. Let y = c - 79. Let f = 7 - y. What is f rounded to the nearest ten? -100 Let o = 63.015 + -63. Let k = -0.012 + o. Round k to two dps. 0 Let n = 1229 - 1229.000001658. Round n to 7 decimal places. -0.0000017 Suppose -2 = 4*h + 2*r - 20, -4*r + 24 = 5*h. Suppose -h*c + 2*x = -5568, c - 735 - 675 = 5*x. Round c to the nearest 100. 1400 Let j be 3 - 547753*(-4)/2. Let v(f) = j*f + 2037517*f + 0 + 366972*f - 6. Let s be v(-3). Round s to the nearest 1000000. -11000000 Let b = -400.8 + 400.81969. What is b rounded to three dps? 0.02 Let i = 11.9 + -18.72. Let g = 58 + -57.22. Let x = g - i. What is x rounded to the nearest integer? 8 Let a = 7507812.9999968 + -7507803. Let x = 10 - a. What is x rounded to 6 decimal places? 0.000003 Let z = -1269.51 - -1264. What is z rounded to 0 dps? -6 Let r = 922 + 553. Suppose -r - 605 = -8*l. Round l to the nearest 100. 300 Let w = -96 - -66. Let j = w + 29.7. Let i = j - -0.299. What is i rounded to 2 dps? 0 Let t = -1511432 - -862718. Let s(b) = 2058715*b**3 + b**2 + 2*b + 2. Let p be s(-1). Let q = t - p. Round q to the nearest one hundred thousand. 1400000 Let r = 0.1024 - 1.9554. What is r rounded to 1 decimal place? -1.9 Suppose 49905 = 39*a - 259365. What is a rounded to the nearest 1000? 8000 Let o = 0.1 + -0.07. Let c = o + 0.02. Let n = 0.0500005 - c. Round n to seven decimal places. 0.0000005 Let b = 3125 + -3124.99997819. Round b to 5 dps. 0.00002 Let j = 0.0503 + 0.0798. Let l = 0.4209 + j. What is l rounded to 1 dp? 0.6 Let d(b) = -311038*b**2 - 3*b + 1. Let s be d(-3). Let w = 4629332 + s. Round w to the nearest one hundred thousand. 1800000 Let j = -0.3581 - -0.1824. Round j to two decimal places. -0.18 Let i = -43 - -276.3. Round i to the nearest 10. 230 Let z = 141080.61 + -140138. Let g = -850.487 + z. Let t = g - 92. Round t to two decimal places. 0.12 Suppose -j - 2*j = 3. Let u be j*(-2 - -4 - 14). Round u to the nearest 10. 10 Suppose -87 = -h + 393. Suppose 7*n - h = 3*n. Let i be 3250*6/9*n. Round i to the nearest 100000. 300000 Suppose -98*n = -62*n - 1512. Suppose 7*i - 185 = 2*i. Suppose 0 = i*q - n*q - 2200000. Round q to the nearest one hundred thousand. -400000 Let a = 77 - 81. Let o = 24.632 + -20.6. Let j = o + a. Round j to 2 dps. 0.03 Let u = -0.8 - -0.9. Let i = 5.1 - u. Let y = 4.9999901 - i. What is y rounded to six dps? -0.00001 Let o = -0.036 + -14.464. Let p = o - -14.49705. What is p rounded to four decimal places? -0.003 Let q be (-54)/27*(-1 + -8224). Round q to the nearest 1000. 16000 Let k = 77 - 75.787. Round k to 2 decimal places. 1.21 Let a = -2467 - -2466.999998449. What is a rounded to seven decimal places? -0.0000016 Let q = -66528021 - 37871979. What is q rounded to the nearest one million? -104000000 Let r = 212.5 + 490. Round r to the nearest 100. 700 Let i = 13990958.999612 - 13990999. Let f = i - -40. What is f rounded to 5 decimal places? -0.00039 Let w(j) be the second derivative of j**5/24 + j**4/3 + 5*j**3/6 + 4*j. Let n(t) be the second derivative of w(t). Let q be n(-8). Round q to the nearest ten. -30 Let g be 0 - (441875/3)/(12/(-6912)). Suppose -14*v + 2*v = g. What is v rounded to the nearest 1000000? -7000000 Let s = -4608 - -8108. Round s to the nearest 10000. 0 Let z be ((-16)/40)/(2/(-10)). Suppose -w + 60 = z*w. Suppose -3*o - 2*o - 3*q - 3249988 = 0, 0 = -5*q + w. What is o rounded to the nearest 100000? -700000 Let n = 8569011559 + -12573734333. Let h = n - -4004722724.00000054. Let b = 50 + h. Round b to seven decimal places. 0.0000005 Let c = 53985 - 54116.9496. Let i = c + 105.94962. Let r = 26 + i. Round r to five dps. 0.00002 Let h = -2583 - -438. Let g = -2134.99 - h. Let j = g - -0.19. Round j to 0 dps. 10 Let f = 1.2 - -14.8. Let w = 16.15 - f. Let y = 0.32 - w. Round y to one decimal place. 0.2 Let h = -8 + 7.72. Let f = -29.28 - h. Let q = f - -29.0135. What is q rounded to 3 decimal places? 0.014 Let y = -69.02 + 68. Let h = -1.0200204 - y. What is h rounded to 6 dps? -0.00002 Let a(w) = -3*w**3 + 13*w**2 - w - 6. Let l be a(13). Let d = l - -11454. Suppose -2*q = d + 260959. Round q to the nearest 10000. -130000 Let p be (9/36)/(1/(-4)). Let d be 2*10*p + -1. Let v be 120/(-7)*d/2. What is v rounded to the nearest 100? 200 Let w = 0.99 - -3.31. Let z = w - 4.2999739. What is z rounded to 5 decimal places? 0.00003 Let p = 32 + -25. Suppose 26*l = p*l + 494000. Round l to the nearest ten thousand. 30000 Let f = -1335 + 1334.9984896. What is f rounded to four decimal places? -0.0015 Suppose -93*l - 4748000 = -95*l. Round l to the nearest 100000. 2400000 Let t = 631123586279807 + -631123593262061.44000066. Let u = -6982287.44 - t. Let b = -33 - u. What is b rounded to seven decimal places? -0.0000007 Let p = -721 - -721.0002865. What is p rounded to 5 decimal places? 0.00029 Let v = -17.97 + 18. Let m = 0.11 - v. What is m rounded to 1 dp? 0.1 Let d = 20 + 2. Let b = -21.99977 + d. Round b to four dps. 0.0002 Let b = 124.6 - -67.9. Round b to the nearest ten. 190 Let s be 3 - 5 - (-3 - 1). Suppose -s*i - 5880000 = i. Round i to the nearest one hundred thousand. -2000000 Let q = -129 - -128.842. Let j = 68.158 + q. Let n = j + -67.999957. What is n rounded to 5 dps? 0.00004 Let j = -71.8133 - -71.46. What is j rounded to 2 decimal places? -0.35 Let s = -6.761 + 6.8. Let x = s - 0. Let i = x + -0.0389973. Round i to seven decimal places. 0.0000027 Suppose 0 = 5*k - 3*d + d - 38, -5*k = d - 26. Suppose -k + 5 = -b. Let f be (-150005 - (-4)/1) + b. What is f rounded to the nearest 100000? -200000 Let b = 150393 + -150244.0216. Let a = -149 + b. Round a to three dps. -0.022 Let t = -604.3
{ "pile_set_name": "DM Mathematics" }
483. -1/1483 5 divided by 3665 1/733 Calculate 1271 divided by -6. -1271/6 Divide -756 by 2. -378 What is 899 divided by -2? -899/2 Divide -1021 by -3. 1021/3 Calculate -18 divided by -1. 18 -6 divided by 895 -6/895 Divide 74 by -32. -37/16 Divide -32605 by -5. 6521 Divide 0 by -83. 0 Calculate -6 divided by 23. -6/23 -25097 divided by -3 25097/3 Divide -28920 by 6. -4820 What is -2 divided by 1? -2 What is -35 divided by -38? 35/38 Divide 12690 by 18. 705 Divide -2320 by 4. -580 Calculate -9 divided by 12. -3/4 323 divided by -4 -323/4 844 divided by 4 211 What is 468 divided by -52? -9 What is 25 divided by -244? -25/244 Divide 49 by -7. -7 Divide 75870 by 3. 25290 Calculate 1452 divided by 44. 33 Divide -2 by 243. -2/243 Divide 198 by -66. -3 What is -131 divided by 1? -131 What is -2 divided by 1092? -1/546 Divide -14 by -8. 7/4 310 divided by -10 -31 What is 46 divided by -23? -2 116 divided by 1 116 -58 divided by 1 -58 Divide -1657 by 4. -1657/4 What is -4420 divided by -20? 221 Calculate 770 divided by -18. -385/9 What is 197 divided by 1? 197 Divide 9492 by 226. 42 What is -370 divided by -1? 370 What is -4 divided by 89? -4/89 What is -29 divided by -29? 1 1060 divided by 4 265 -10630 divided by -5 2126 6679 divided by 3 6679/3 What is -3593 divided by 4? -3593/4 Divide 1098 by -5. -1098/5 Calculate -284 divided by 4. -71 Divide -82 by -6. 41/3 What is 2467 divided by 5? 2467/5 What is -1 divided by 551? -1/551 -1771 divided by 3 -1771/3 -1560 divided by 5 -312 Divide 2968 by -53. -56 What is 62 divided by 21? 62/21 Divide 0 by -655. 0 Calculate -12987 divided by 4329. -3 Divide -7470 by -9. 830 What is 576 divided by 3? 192 Divide 0 by 12. 0 Divide -6321 by 1. -6321 Calculate 1 divided by -54. -1/54 105 divided by -21 -5 What is -275 divided by -6? 275/6 What is 26 divided by -2? -13 What is 6 divided by 6? 1 Calculate 2334 divided by -3. -778 Divide 348 by -174. -2 What is -235 divided by -235? 1 -1991 divided by -181 11 Calculate 18 divided by 9. 2 Calculate 1425 divided by -285. -5 217 divided by 22 217/22 What is -132 divided by 22? -6 Calculate 5 divided by 5. 1 Calculate 162 divided by -6. -27 2 divided by 1 2 Divide -663 by -3. 221 Calculate -5 divided by -18. 5/18 What is -3 divided by -2365? 3/2365 Calculate -133 divided by 133. -1 What is -100 divided by -77? 100/77 -177 divided by -1 177 Divide -428 by 1. -428 542 divided by -2 -271 Calculate -4180 divided by -836. 5 Divide -56 by 14. -4 Divide 318 by -53. -6 Calculate 31 divided by -73. -31/73 Divide 66 by -3. -22 Calculate 224 divided by 224. 1 -41 divided by 41 -1 -51 divided by -17 3 Calculate -51 divided by 9. -17/3 -52 divided by -6 26/3 -9 divided by 15 -3/5 Calculate -5 divided by 39. -5/39 121 divided by -12 -121/12 Divide -1 by 114. -1/114 Divide 5 by 5870. 1/1174 Calculate 925 divided by 185. 5 Calculate 4 divided by 161. 4/161 What is 412 divided by 3? 412/3 10 divided by -1 -10 Divide -1216 by -304. 4 -305 divided by -3 305/3 What is -383 divided by 4? -383/4 -82 divided by 82 -1 Calculate -12827 divided by 127. -101 312 divided by -1 -312 What is -5 divided by 46? -5/46 -7 divided by -119 1/17 What is -9062 divided by 6? -4531/3 145 divided by 1 145 -43 divided by -35 43/35 What is -1648 divided by 2? -824 What is -21303 divided by 2367? -9 Calculate 7 divided by -5. -7/5 What is 682 divided by 5? 682/5 Calculate -18 divided by -33. 6/11 What is -1 divided by 31? -1/31 -123 divided by 3 -41 Calculate -162 divided by 1. -162 What is -240 divided by 60? -4 Divide -4 by 46. -2/23 -37905 divided by -7581 5 What is -3 divided by 8254? -3/8254 What is 97 divided by 1? 97 624 divided by -6 -104 What is 75 divided by -25? -3 -596 divided by 149 -4 19 divided by 6 19/6 Divide -86 by -4. 43/2 Divide -36528 by 3. -12176 Calculate -210 divided by -5. 42 21 divided by -7 -3 What is 0 divided by 2649? 0 What is -1120 divided by -3? 1120/3 Divide 125 by 118. 125/118 Calculate 2 divided by -16. -1/8 -561 divided by -4 561/4 Calculate 12543 divided by 6. 4181/2 Divide -645 by 6. -215/2 What is 18207 divided by -9? -2023 Calculate 27 divided by -6. -9/2 -3 divided by 420 -1/140 -348 divided by -6 58 What is 34784 divided by -1? -34784 Divide 736 by 19. 736/19 Divide 196 by -49. -4 Calculate 22 divided by -336. -11/168 -4426 divided by 1 -4426 What is -192 divided by 6? -32 What is 856 divided by 8? 107 Calculate -41 divided by -14. 41/14 -168 divided by 3 -56 Calculate -91 divided by 6. -91/6 What is -1 divided by -462? 1/462 -12852 divided by 34 -378 Calculate 4776 divided by -1. -4776 Calculate 27655 divided by -5. -5531 -9 divided by 2750 -9/2750 -840 divided by -1 840 -390 divided by 5 -78 What is -1192 divided by -298? 4 What is 553 divided by -7? -79 What is -16704 divided by 3? -5568 Calculate -480 divided by -120. 4 -6896 divided by -4 1724 Calculate 48 divided by -16. -3 Calculate -398 divided by 25. -398/25 Calculate 18 divided by -1. -18 608 divided by -608 -1 Divide -1 by 8. -1/8 -510 divided by -3 170 Divide 1420 by 5. 284 Divide -113 by -85. 113/85 What is -5 divided by 50? -1/10 Divide 3 by 1594. 3/1594 -11263 divided by -4 11263/4 Calculate 52450 divided by -5. -10490 Divide 2291 by -6. -2291/6 Calculate -5 divided by -73. 5/73 Calculate -3220 divided by 805. -4 Divide 39 by 13. 3 -6 divided by 13 -6/13 78 divided by -82 -39/41 What is -4 divided by 87? -4/87 Divide -282 by 3. -94 Divide 28 by -422. -14/211 Calculate -18288 divided by 3. -6096 What is -4488 divided by 1496? -3 -1 divided by 2266 -1/2266 What is -833 divided by 7? -119 Divide -2 by -30. 1/15 6 divided by 173 6/173 276 divided by -3 -92 Calculate 9 divided by 1. 9 Calculate 258 divided by -2. -129 5 divided by -14 -5/14 What is 12 divided by -635? -12/635 Calculate 3302 divided by 13. 254 180 divided by -6 -30 What is -135 divided by -5? 27 What is 89 divided by 247? 89/247 What is -5215 divided by -2? 5215/2 -36 divided by 3 -12 Calculate 3 divided by -30. -1/10 Calculate 3 divided by 1962. 1/654 Divide 0 by 74. 0 Divide -11187 by -3. 3729 23345 divided by -4669 -5 What is -238 divided by 11? -238/11 0 divided by -3908 0 0 divided by 84 0 What is 3 divided by 730? 3/730 -456 divided by -6 76 Divide 138186 by 6. 23031 What is 36 divided by -6? -6 Divide 19 by -6. -19/6 Divide -5088 by -6. 848 Calculate 4 divided by -196. -1/49 Divide 53046 by 6. 8841 What is 828 divided by 207? 4 Divide 0 by -1. 0 636 divided by 4 159 What is 120 divided by 60? 2 147 divided by 21 7 What is 510 divided by 170? 3 Divide 47 by -2. -47/2 Calculate 1497 divided by 499. 3 217 divided by -5 -217/5 Calculate 4 divided by 70. 2/35 5 divided by 17 5/17 What is 282 divided by -5? -282/5 582 divided by -291 -2 What is 39 divided by -51? -13/17 What is -1870 divided by -5? 374 Calculate -18845 divided by -5. 3769 Divide -7826 by 7. -1118 4744 divided by -1186 -4 Divide -1 by -236. 1/236 -285 divided by -33 95/11 Calculate -2 divided by 50. -1/25 17376 divided by 6 2896 Calculate -5918 divided by -538. 11 -6705 divided by 745 -9 What is -718 divided by -6? 359/3 Calculate -1829 divided by -6. 1829/6 What is -6 divided by 335? -6/335 -1 divided by -32 1/32 Divide 34 by -27. -34/27 What is 1276 divided by 319? 4 7 divided by 78 7/78 -635 divided by -635 1 Calculate 3 divided by -3. -1 What is -1076 divided by -6? 538/3 What is -11 divided by 52? -11/52 What is 0 divided by -1544? 0 Calculate 3021 divided by -4. -3021/4 1 divided by -21 -1/21 Divide -4 by -225. 4/225 Calculate 685 divided by -36. -685/36 266 divided by -14 -19 Divide -7317 by 9. -813 What is 45 divided by -15? -3 2 divided by 194 1/97 What is 132 divided by 6? 22 Divide 101 by -3. -101/3 What is -695 divided by 5? -139 Calculate -33 divided by 1. -33 Calculate 33740 divided by 5. 6748 -274 divided by -6 137/3 What is -1723 divided by 1? -1723 What is 0 divided by -61? 0 Calculate 36 divided by -6. -6 0 divided by 271 0 Calculate -5 divided by -3. 5/3 66 divided by 22 3 Divide -1130 by -2. 565 Divide -64 by -18. 32/9 -13 divided by -13 1 Divide -5 by 21. -5/21 Calculate -1337 divided by -7. 191 What is -1 divided by -820? 1/820 -510 divided by -1 510 Divide -428 by 107. -4 Divide 62 by -31. -2 -158 divided by 1 -158 Calculate -8126 divided by -6. 4063/3 Wha
{ "pile_set_name": "DM Mathematics" }
17 - -302.8. Round d to 3 decimal places. 0.03 Let y be ((-20)/4 + 4)/((-1)/1). Let t be (-1*1335)/((15/50000)/y). What is t rounded to the nearest one hundred thousand? -4500000 Let f = 3156 - 2967.9. Let r = -198 + f. What is r rounded to 0 decimal places? -10 Let s = 93979028.999971 + -93979092. Let f = s + 63. Round f to 5 decimal places. -0.00003 Let p = 205 - 123. Let d = 998005351.9999882 - 998005434. Let n = d + p. Round n to 6 dps. -0.000012 Suppose -5*c + 1 + 14 = 0. Suppose 4*l = -c*p + 14, -3*l + 4*p - 2 = -0*l. Let v be -13801 + (l - (3 + -2)). Round v to the nearest 1000. -14000 Let b(k) = k**3 - 10*k**2 + 14*k + 6. Let u(o) = o**2 - 6*o + 7. Let h be u(6). Let x be b(h). What is x rounded to the nearest 10? -40 Suppose 181*a - 178*a = -36000. What is a rounded to the nearest ten thousand? -10000 Suppose 0 = 5*j - 4*j + 62510. Let q = j - -92510. Round q to the nearest 100000. 0 Let p = 0.0096057 - -81.9907143. Let w = p + -82. Round w to 4 decimal places. 0.0003 Suppose 0 = -3*u - 15*a + 11*a - 25919980, 5*u + 43199980 = -4*a. What is u rounded to the nearest one million? -9000000 Let y = -3.362710654 - -21.078911024. Let s = y - -0.2837998. Let q = s + -18. Round q to seven decimal places. 0.0000002 Let c(p) = -23*p**3 - p. Let o be c(-1). Let r(n) = 2*n**3 + 38*n**2 - 5*n + 31. Let x be r(-19). Suppose o - x = -2*u. What is u rounded to the nearest 10? 50 Let x(u) = 1292*u**3 - 26*u**2 - 203*u + 9. Let z be x(-7). What is z rounded to the nearest ten thousand? -440000 Let u(c) = c + 8. Let m be u(-8). Suppose m = 2*y + 907 - 3209. Suppose 4*a = -y - 1009. Round a to the nearest 100. -500 Let k = -264.7 - 86.3. Let h = 350.99999841 + k. What is h rounded to seven dps? -0.0000016 Let c(i) = 3*i**2 + 12*i - 7. Let d(s) = s**2 + 7*s + 3. Let w be d(-4). Let o be c(w). Let t = o - 28. What is t rounded to the nearest 10? 100 Suppose -3*k + y = -y, 3*k = -3*y. Suppose -5*v + p - 304 = k, 4*v + 252 = -0*v + 3*p. Round v to the nearest ten. -60 Let w(c) = -c - 1. Let p = 29 - 30. Let l be w(p). Let a be l/(4 + -3) + -520000. Round a to the nearest 100000. -500000 Let m = -52 + 29. Let a = m - -23.23. Let c = 0.59 - a. What is c rounded to one decimal place? 0.4 Let a = 246 - 238. Let j = -0.15883 - 7.82217. Let i = j + a. Round i to 2 decimal places. 0.02 Let o = -493 + 493.0009374. What is o rounded to 4 dps? 0.0009 Let c = 579 - 578.999996598. Round c to 6 dps. 0.000003 Let h be -1*2*(-8 + 2). Suppose 4*m = h*m + 4800. Round m to the nearest 1000. -1000 Let i = -0.16800049 - -0.168. What is i rounded to 6 decimal places? 0 Let k = -18 + 21. Let b be (137/k)/((-3)/(-72)). Let t be 4 - (b/1)/4. What is t rounded to the nearest 100? -300 Let u = 0.0294247 - 0.0294. What is u rounded to 5 decimal places? 0.00002 Suppose 13 = 3*q + 4. Suppose 3816 - 29004 = -q*a. Suppose 5*u + 3*n + 0*n + 42012 = 0, -n = -u - a. Round u to the nearest one thousand. -8000 Let w = 1.4631 + -9.2061. Round w to 1 decimal place. -7.7 Suppose 3*t = -5*q + 13185, -5*t + 6*q = q - 22015. Round t to the nearest 1000. 4000 Let k = -69.09 + 4.59. What is k rounded to the nearest 10? -60 Let a = 1664898 + -304898. What is a rounded to the nearest 1000000? 1000000 Let a be (1312/6)/(99024/(-49500) - -2). Round a to the nearest 100000. -500000 Let o = 1890094255.00000003 - 1890094276. Let u = -21 - o. What is u rounded to 7 decimal places? 0 Let k = 4.0055 - 4. Let x = 2.4645 + k. Let p = x + -2.6. Round p to two decimal places. -0.13 Let t = -6.496 + -0.004. Let c = 6.5058 + t. What is c rounded to 4 dps? 0.0058 Let q = 248.891 + 0.109. Let y = 338.5 - q. Let p = y + -73. Round p to the nearest integer. 17 Suppose -x - 10 = m, m = -x + 3*m - 25. Let j be (-42821192)/(-5) + 6/x. Suppose j = -n - 1835762. What is n rounded to the nearest one million? -10000000 Let g = -1013 - -1018.89. Let r = g - -0.11. Let i = r - 6.0003. What is i rounded to four dps? -0.0003 Let l = 13.6 - 16.17. Let u = 2.569831 + l. What is u rounded to 5 decimal places? -0.00017 Suppose -3*v = -3*y - 0*y + 390, 118 = y + 3*v. Suppose -3*o + y = -83. What is o rounded to the nearest ten? 70 Let b = -7551.2 - -8328. Round b to the nearest 100. 800 Let c = -1284.64387 - 0.25613. Let j = c - -1224. Round j to the nearest 10. -60 Let q = -0.3392 + 29.3852. Let a = -376 - -405. Let v = q - a. Round v to 2 dps. 0.05 Let t = -17809.7 - -17809.826907. Let v = t + -0.127. Round v to 5 dps. -0.00009 Let p = 90.8627 - 1.2527. Let b = 79.9 + -169.9. Let j = b + p. What is j rounded to 1 dp? -0.4 Let d = 89 - 83.3. Let s = -12.71 + d. Round s to the nearest integer. -7 Let m = -1975.00784 + 1975. What is m rounded to three dps? -0.008 Let r = 39.7 - 39.6999614. What is r rounded to 5 dps? 0.00004 Let w = 1.280943 - -1470.658057. Let r = 1449 - w. Let f = 23 + r. Round f to two dps. 0.06 Suppose 2*l - 6*l + 225990 = 5*k, 3*k + 56506 = l. What is l rounded to the nearest 1000? 57000 Let a = -47.215 + 0.415. Let k = a + 38. Round k to the nearest integer. -9 Let p(y) = 257000*y**2 + y + 10. Let z be p(-10). What is z rounded to the nearest 1000000? 26000000 Let v = 684 - 686.83. Let z = v + 2.7842. What is z rounded to 3 dps? -0.046 Suppose 2*q - 22 = -3*n, 0*q - 4*q = -4*n - 4. Suppose 2*g = -4*y + 5*g - 4006, q*y - 3*g = -5006. Round y to the nearest 10000. 0 Let p = -214751.9982 - -214733. Let k = 0.42 - 19.42. Let m = p - k. Round m to three dps. 0.002 Let z = -0.107 + 5.107. Let q = 4.9862 - z. Round q to 3 decimal places. -0.014 Let i be (-2)/4 + 4/8. Suppose 2*z - z + 100000 = i. What is z rounded to the nearest one million? 0 Let o = 1.2 - 1.1. Let s = o + -0.18. Let x = s - -0.080109. What is x rounded to five dps? 0.00011 Let y = -0.015737 - -0.0143. Round y to four decimal places. -0.0014 Let o(s) = -s**2 + s. Let y(g) = 252004*g**2 - 12*g - 10. Let a(j) = 5*o(j) + y(j). Let q be a(-5). Round q to the nearest one million. 6000000 Let t = -102421.00024 + 102417. Let m = 4.9 - 0.9. Let v = t + m. What is v rounded to 4 decimal places? -0.0002 Let m = -250886.069916 - -250835.07. Let o = 3.5 + -54.5. Let x = m - o. What is x rounded to five decimal places? 0.00008 Let y be (-1923 - 1)/((-268)/(-8710)). What is y rounded to the nearest ten thousand? -60000 Let k = 2354.98 + -2309. Let r = -43 + k. Round r to 1 decimal place. 3 Let q = -1202 - -1202.000000511. Round q to seven decimal places. 0.0000005 Let u = -87718841.30000304 + 87718835. Let r = 6.3 + u. What is r rounded to seven dps? -0.000003 Let w = -1496761410 + 1496761349.9999931. Let r = -42 - 18. Let f = r - w. Round f to 6 decimal places. 0.000007 Let d = -401 + 400.99999989. Round d to 6 dps. 0 Let o = 2244 + -2244.1399. Let n = 0.146 + o. What is n rounded to 3 decimal places? 0.006 Suppose 0 = b - 4*v - 2, -3*b - b = -4*v + 4. Let u be b/5 + 2/5. Suppose 2*q + 0*q + 246 = u. What is q rounded to the nearest ten? -120 Let m be 5/(1/(-566240)*-8). What is m rounded to the nearest ten thousand? 350000 Suppose -3*t = -4 - 11. Suppose 2 = 4*s - y, -7*s - 2 = -3*s + y. Suppose t*h = -0*c - c + 3, s = -2*c - 5*h - 14. What is c rounded to the nearest ten? -20 Let y = 146.8 - 146.81473. What is y rounded to 4 decimal places? -0.0147 Let f = -19.58959 + 19.66. What is f rounded to 3 decimal places? 0.07 Let z(y) = -2*y**2 + 17*y + 12. Let a be z(9). Let v be (3 + 416/a)*-300*1000. Round v to the nearest 1000000. -43000000 Let l = -0.1734 - -0.198. Let x = -0.02249 + l. Round x to 4 dps. 0.0021 Let m(u) = -u**3 - 7*u**2 + 8*u + 2. Suppose y - 2*y - 8 = 0. Let a be m(y). Suppose -3*v + 81 = r - 127, a*r = -4. Round v to the nearest one hundred. 100 Suppose 85*w = 78*w + 4760. What is w rounded to the nearest one hundred? 700 Let g = 2327 - 2328.139. What is g rounded to 1 decimal place? -1.1 Suppose -8*o + 5*o = 3*z - 33222, -11058 = -z + 3*o. Round z to the nearest one hundred. 11100 Suppose 7 = -o + 18. Let z be (-112200004)/(-22) - 2/o. Suppose -2*a + z = -7*a. Round a to the nearest 100000. -1000000 Let d be (-5 + (-114)/(-18))*3. Suppose d*y - y + 3429997 = -5*z, -3430005 = 5*z - 5*y. Round z to the nearest 100000. -700000 Let b = 2027.195 - 2024. Round b to 1 decimal place. 3.2 Let j = -125 + 223.8. Round j to the nearest 10. 100 Let q(b) =
{ "pile_set_name": "DM Mathematics" }
and 26583? 3 Calculate the highest common divisor of 34370 and 17038. 14 What is the highest common factor of 648 and 1940409? 27 Calculate the highest common divisor of 289029 and 13689. 39 What is the highest common factor of 53050 and 2775? 25 Calculate the highest common divisor of 3738992 and 80. 16 Calculate the highest common divisor of 316 and 27668. 4 What is the highest common divisor of 19065 and 1022335205? 6355 What is the highest common factor of 1880 and 300095? 235 Calculate the highest common factor of 56277176 and 8. 8 What is the highest common factor of 7504 and 12453424? 1072 Calculate the highest common divisor of 734282 and 382122. 142 Calculate the highest common factor of 623 and 23536851. 89 Calculate the highest common divisor of 3 and 177166791. 3 Calculate the greatest common factor of 3893478 and 430. 86 What is the greatest common divisor of 179 and 148815230? 179 Calculate the greatest common divisor of 53640 and 60840. 360 What is the greatest common factor of 6967716 and 345639? 2289 Calculate the greatest common divisor of 66 and 32501160. 6 What is the highest common factor of 379910 and 520? 10 Calculate the greatest common factor of 234481776 and 2412. 804 What is the highest common factor of 94975 and 40751873? 3799 Calculate the highest common divisor of 17982 and 1731600. 666 Calculate the greatest common divisor of 220177 and 471. 1 Calculate the greatest common divisor of 9311104 and 608. 32 What is the highest common factor of 417186 and 3865708? 1078 What is the greatest common factor of 25542 and 935154? 198 Calculate the highest common divisor of 819 and 2327962. 91 What is the highest common factor of 10974 and 241242? 186 Calculate the highest common factor of 109138510 and 6760. 1690 Calculate the highest common factor of 2336 and 143168. 32 Calculate the greatest common divisor of 9329331 and 33. 33 Calculate the highest common factor of 160 and 102152180. 20 Calculate the greatest common factor of 684789477 and 139. 139 Calculate the highest common factor of 33852 and 9738456. 1092 What is the highest common divisor of 521950 and 411866? 1898 Calculate the greatest common divisor of 8280067 and 610584. 1957 What is the highest common factor of 119 and 45021508? 119 What is the highest common divisor of 6236519 and 1031? 1031 Calculate the highest common factor of 11847708 and 4590. 918 Calculate the greatest common factor of 353421 and 11871. 9 Calculate the greatest common factor of 440585491 and 1461. 487 Calculate the highest common divisor of 2208 and 28878. 6 Calculate the highest common divisor of 398 and 18657842. 398 What is the highest common divisor of 89362 and 8593? 13 Calculate the highest common divisor of 4310 and 16353002. 862 What is the greatest common divisor of 23023 and 266777? 161 Calculate the greatest common factor of 36582 and 15806. 14 Calculate the highest common factor of 75997026 and 21714. 1974 What is the highest common factor of 160602 and 15? 3 What is the greatest common divisor of 4825486 and 214? 214 What is the greatest common factor of 192 and 865872? 48 What is the highest common factor of 3181116 and 1500? 12 Calculate the highest common divisor of 77 and 304894051. 77 Calculate the highest common factor of 76590852 and 312. 156 What is the highest common divisor of 142731637 and 853? 853 Calculate the greatest common factor of 18 and 13710798. 18 Calculate the highest common factor of 9422163 and 324. 81 Calculate the highest common divisor of 37 and 36299. 1 What is the highest common divisor of 4226 and 1173357352? 4226 Calculate the highest common divisor of 6468 and 5322372. 132 Calculate the highest common divisor of 15962 and 7079494. 694 Calculate the highest common factor of 20144264 and 88. 8 Calculate the highest common factor of 970541 and 73931. 1573 Calculate the highest common divisor of 2982 and 11516981. 497 What is the greatest common factor of 14014 and 3878056? 1274 What is the highest common divisor of 4842 and 50191634? 538 What is the highest common divisor of 121 and 33879010? 11 What is the highest common factor of 3021 and 15933761? 1007 What is the highest common divisor of 203502514 and 29424? 1226 What is the greatest common factor of 606 and 15086774? 202 What is the greatest common divisor of 7 and 42658063? 7 What is the greatest common factor of 112230 and 8335? 5 What is the greatest common factor of 9 and 4481766? 9 What is the greatest common divisor of 4875882 and 231? 33 Calculate the greatest common divisor of 8400574 and 43127. 707 Calculate the highest common factor of 642219 and 168150. 57 Calculate the highest common factor of 1426707 and 14893. 53 Calculate the highest common factor of 177659 and 293753. 1759 Calculate the highest common divisor of 351 and 229125. 39 What is the greatest common divisor of 138333250 and 13750? 2750 Calculate the highest common divisor of 14720 and 33344. 64 What is the highest common factor of 159875869 and 2307? 769 What is the highest common factor of 4904944397 and 8653? 8653 What is the greatest common divisor of 317770 and 78174? 86 Calculate the highest common factor of 9 and 322576083. 9 What is the highest common factor of 1494 and 838260243? 747 What is the greatest common divisor of 16 and 27286336? 16 What is the highest common divisor of 1606 and 493947784? 1606 What is the greatest common factor of 1123 and 1690684361? 1123 What is the greatest common divisor of 25779 and 11237? 661 Calculate the highest common divisor of 79124 and 2027880. 524 Calculate the greatest common divisor of 230954404 and 16. 4 Calculate the highest common divisor of 77 and 25276237. 7 What is the highest common divisor of 1620 and 183513870? 270 Calculate the greatest common factor of 695786 and 32396. 182 What is the greatest common factor of 21 and 28645743? 21 What is the highest common divisor of 1333911 and 423? 3 Calculate the highest common factor of 4984 and 3460142. 1246 What is the highest common factor of 27578936 and 1232? 616 Calculate the greatest common factor of 18643985 and 17. 17 Calculate the highest common divisor of 29369 and 515226. 43 Calculate the greatest common divisor of 1677793 and 442. 13 Calculate the highest common factor of 1841455 and 1485. 55 What is the greatest common divisor of 9492 and 2017276? 452 Calculate the greatest common divisor of 115311 and 58883223. 6783 What is the highest common divisor of 1119 and 159? 3 Calculate the highest common factor of 884347 and 227119. 383 Calculate the highest common factor of 35958156 and 168. 12 What is the greatest common factor of 63791721 and 4668? 1167 What is the highest common factor of 208596647 and 14? 7 Calculate the greatest common factor of 197112 and 110780. 764 What is the highest common divisor of 504060994 and 1786? 1786 What is the highest common factor of 24696 and 43031408? 2744 What is the greatest common divisor of 447 and 13576433? 149 Calculate the greatest common factor of 124304 and 1808. 16 What is the highest common factor of 1343057 and 29? 1 What is the highest common divisor of 422742 and 1872? 6 What is the highest common factor of 990 and 7116142? 22 What is the greatest common divisor of 196 and 4944247? 49 What is the greatest common divisor of 32057670 and 30? 30 Calculate the greatest common factor of 90317671 and 2. 1 Calculate the highest common divisor of 31654935 and 90. 45 Calculate the highest common divisor of 34109408 and 152. 152 What is the greatest common divisor of 277609 and 223779? 769 What is the greatest common divisor of 23159850 and 17850? 1050 Calculate the highest common divisor of 809 and 1421771387. 809 What is the highest common divisor of 964565 and 62279? 1519 What is the greatest common divisor of 38416 and 1980384? 784 Calculate the greatest common divisor of 8027 and 4334929. 349 What is the highest common factor of 7722297 and 33? 33 What is the highest common factor of 2085 and 513105? 15 Calculate the greatest common factor of 30401 and 15969211. 4343 Calculate the greatest common factor of 1378258 and 15946. 238 What is the greatest common factor of 329 and 92029? 7 What is the highest common divisor of 13494343 and 10544? 659 What is th
{ "pile_set_name": "DM Mathematics" }
e 9) to base 12. 17196 What is -246 (base 10) in base 4? -3312 Convert -474 (base 12) to base 16. -298 What is -24023 (base 5) in base 6? -12055 Convert -1211212 (base 3) to base 16. -542 -1112302 (base 4) to base 8 -12662 What is 1845 (base 11) in base 3? 10012222 -14964 (base 10) to base 8 -35164 Convert -100002 (base 4) to base 5. -13101 Convert 32355 (base 8) to base 9. 20524 What is 4136 (base 10) in base 16? 1028 What is dc (base 15) in base 8? 317 What is -12717 (base 8) in base 15? -19c3 What is -3023 (base 12) in base 15? -1826 What is -3ba (base 15) in base 6? -3534 What is -348 (base 10) in base 9? -426 Convert 8113 (base 10) to base 7. 32440 Convert 364e (base 15) to base 7. 45446 What is d89 (base 14) in base 11? 2007 Convert 12 (base 14) to base 7. 22 What is -17a6 (base 15) in base 16? -13f2 -316 (base 13) to base 6 -2234 -8404 (base 12) to base 16 -3844 Convert -120321 (base 4) to base 15. -713 Convert 1b5 (base 16) to base 7. 1163 What is b6b (base 12) in base 11? 1286 What is 3433 (base 7) in base 12? 881 -c9b (base 13) to base 5 -32111 Convert -1b089 (base 13) to base 15. -109cb What is -4632 (base 11) in base 6? -44101 Convert 27d (base 15) to base 10. 568 15755 (base 8) to base 13 333c What is db (base 14) in base 6? 521 What is 2468 (base 9) in base 2? 11100110100 Convert -1225 (base 7) to base 5. -3320 4563 (base 12) to base 7 31320 What is -1400 (base 5) in base 15? -100 Convert 1010320 (base 4) to base 13. 2011 -6059 (base 10) to base 4 -1132223 Convert 648 (base 11) to base 15. 36d -15422 (base 9) to base 15 -31d5 2394 (base 14) to base 11 4732 What is -160 (base 7) in base 5? -331 What is -10473 (base 8) in base 12? -2677 Convert 40541 (base 8) to base 4. 10011201 -11012011 (base 3) to base 8 -5757 36568 (base 10) to base 5 2132233 150b (base 15) to base 3 20012002 Convert 411 (base 13) to base 12. 496 What is -2421 (base 16) in base 13? -4296 44414 (base 5) to base 8 6045 1730 (base 11) to base 9 3026 What is -222103 (base 4) in base 15? -c07 What is 1011010111 (base 2) in base 7? 2056 Convert -20980 (base 11) to base 16. -76fb What is 1b5 (base 12) in base 5? 2111 1000110011100000 (base 2) to base 4 20303200 Convert -220211002 (base 3) to base 10. -18092 What is 4228 (base 9) in base 16? c20 What is 1011011010110 (base 2) in base 15? 1aeb Convert 224441 (base 5) to base 16. 1fb9 What is 7cb (base 13) in base 16? 546 What is b71 (base 14) in base 2? 100011001111 Convert -513 (base 15) to base 5. -14033 What is 111110000011 (base 2) in base 8? 7603 130f2 (base 16) to base 12 39216 21111132 (base 4) to base 2 1001010101011110 What is 9717 (base 13) in base 6? 241040 101011101010 (base 2) to base 12 174a Convert -1211000120 (base 3) to base 16. -8b98 What is -995 (base 15) in base 14? -b09 -8145 (base 16) to base 7 -165324 Convert -435421 (base 6) to base 3. -1211200211 What is 2312 (base 9) in base 15? 792 Convert -101 (base 12) to base 10. -145 Convert 26038 (base 9) to base 5. 1030111 -245064 (base 7) to base 10 -44979 What is -19b7 (base 13) in base 9? -5267 What is 150323 (base 6) in base 3? 201201120 Convert -21102010 (base 3) to base 4. -1110123 a55 (base 12) to base 7 4250 -724 (base 13) to base 14 -629 -312201 (base 4) to base 14 -13b3 -12331032 (base 4) to base 11 -1a454 What is 301223 (base 4) in base 12? 1a0b What is 7602 (base 14) in base 4? 10332202 What is 152aa (base 15) in base 2? 10000101000001110 -2140 (base 12) to base 2 -111001000000 2d7 (base 14) to base 10 581 Convert -a8 (base 12) to base 8. -200 1896 (base 11) to base 9 3261 Convert -1101111001 (base 2) to base 4. -31321 Convert 1022003 (base 4) to base 6. 33535 What is 3217 (base 9) in base 4? 210331 What is -211001 (base 4) in base 2? -100101000001 -12200 (base 5) to base 4 -32131 -1300001 (base 4) to base 8 -16001 21553 (base 8) to base 3 110102211 What is -ac0a (base 14) in base 13? -10746 Convert -1224424 (base 5) to base 13. -aa61 -648 (base 9) to base 12 -382 What is -1010101000100 (base 2) in base 7? -21605 -12312 (base 4) to base 2 -110110110 Convert 102221 (base 4) to base 16. 4a9 What is 11664 (base 15) in base 12? 28104 2761 (base 8) to base 5 22041 22b (base 15) to base 2 111101011 Convert 5730 (base 14) to base 7. 62060 What is 1014a (base 12) in base 3? 1001201111 Convert -1352112 (base 6) to base 4. -102302030 Convert -105421 (base 7) to base 8. -44455 What is -5324 (base 10) in base 13? -2567 What is -13200 (base 5) in base 4? -100122 What is 5a80 (base 16) in base 4? 11222000 585 (base 13) to base 14 4c2 Convert -7a49 (base 12) to base 13. -6258 Convert -886 (base 15) to base 16. -786 What is c9 (base 13) in base 15? b0 Convert -823 (base 10) to base 9. -1114 What is -222010 (base 3) in base 12? -4a9 -223312 (base 7) to base 13 -15043 What is -5435 (base 7) in base 13? -b60 What is -5384 (base 10) in base 14? -1d68 Convert 117 (base 8) to base 13. 61 -25841 (base 11) to base 12 -19472 Convert 52250 (base 9) to base 3. 1202021200 Convert 22122 (base 4) to base 15. 2e6 Convert -1001001101 (base 2) to base 15. -294 3232221 (base 4) to base 6 154413 What is -286 (base 13) in base 3? -121121 1112 (base 5) to base 9 184 Convert -41477 (base 8) to base 9. -25547 What is 21214 (base 5) in base 3? 1222010 What is 110000011011101 (base 2) in base 14? 9073 Convert -110001010110001 (base 2) to base 5. -1302030 3423 (base 5) to base 13 2b7 1312 (base 5) to base 15 dc 500 (base 11) to base 10 605 What is d1cf (base 16) in base 6? 1052355 What is 200220120 (base 3) in base 4? 3113121 -3567 (base 8) to base 7 -5400 Convert -1233 (base 5) to base 2. -11000001 What is -206 (base 8) in base 13? -a4 Convert 2108 (base 13) to base 12. 278b What is -5173 (base 9) in base 13? -1959 Convert acc (base 15) to base 14. c66 What is 32304 (base 6) in base 10? 4432 -13052 (base 10) to base 16 -32fc 130223 (base 4) to base 13 ab2 Convert -1160 (base 10) to base 13. -6b3 Convert 2ef (base 16) to base 15. 351 2205 (base 7) to base 9 1066 Convert -200070 (base 8) to base 11. -4530a 133023 (base 4) to base 3 2201220 What is 225515 (base 6) in base 12? b29b 5263 (base 7) to base 16 742 -200012220 (base 3) to base 9 -20186 What is -225 (base 8) in base 4? -2111 Convert -1188 (base 13) to base 11. -1953 Convert -10001001001011 (base 2) to base 16. -224b Convert -489 (base 15) to base 11. -856 -134 (base 11) to base 15 -a8 -218a5 (base 11) to base 9 -47427 -221402 (base 6) to base 8 -44112 Convert 44a0 (base 11) to base 14. 222a -1342 (base 11) to base 10 -1740 What is -9783 (base 14) in base 15? -7b58 Convert -5367 (base 10) to base 16. -14f7 What is -4143 (base 5) in base 7? -1412 Convert 10000111010111000 (base 2) to base 3. 10112001211 -b3c (base 15) to base 5 -40112 Convert 5b1 (base 12) to base 9. 1147 Convert -42515 (base 6) to base 14. -218b Convert -22134 (base 7) to base 3. -21122000 -152205 (base 6) to base 13 -694a Convert -4098 (base 10) to base 7. -14643 25b3 (base 12) to base 8 10327 Convert -4126 (base 8) to base 13. -c82 What is 2215 (base 6) in base 7? 1334 Convert 11779 (base 10) to base 4. 2320003 What is -1b58 (base 14) in base 10? -4978 2015 (base 7) to base 14 37c What is 10010001110 (base 2) in base 8? 2216 What is 24043 (base 13) in base 2? 10000000110101101 1146 (base 9) to base 14 44c -2667 (base 16) to base 11 -7428 -131053 (base 6) to base 11 -8a50 What is -7687 (base 12) in base 9? -18824 Convert 10111100110011 (base 2) to base 13. 5666 What is -640 (base 10) in base 6? -2544 -1006 (base 7) to base 11 -298 Convert -1eb2 (base 16) to base 12. -466a What is -75b5 (base 13) in base 11? -11334 -5030 (base 6) to base 8 -2112 What is 6025 (base 13) in base 9? 20111 Convert -2453 (base 6) to base 4. -21201 What is 2996 (base 10) in base 9? 4088 110100011001100 (base 2) to base 7 141134 What is 1120 (base 5) in base 16? a0 -583 (base 11) to base 15 -316 Convert 10504 (base 9) to base 3. 100120011 Convert -b47 (base 13) to base 10. -1918 Convert 333 (base 7) to base 5. 1141 Convert 116654 (base 7) to base 16. 545f Convert -324 (base 9) to base 2. -100001001 Convert 216247 (base 8) to base 12. 36207 Convert -31331 (base 5) to base 8. -4053 What is 665 (base 11) in base 9? 1075 -23b1 (base 12) to base 8 -7665 -111000 (base 2) to base 6 -132
{ "pile_set_name": "DM Mathematics" }
((-59)/10 - 11/110). Solve -20*l - 34 = -n for l. 4 Let a(s) = -s**2 + 26*s - 102. Let g be a(14). Let k = -61 + g. Solve k*r + 8 + 12 = 0 for r. -4 Let k(o) = -6*o + 24. Let u be k(4). Let t(m) = -2*m**2 + 8*m + 3. Let d be t(4). Solve -b = -u - d for b. 3 Suppose 0 = 5*l - m - 24, -2*m - 9 + 1 = 0. Suppose 0 = l*z - s - 64, -3*z - s + 35 = -20. Solve -9 = -2*x - z for x. -4 Let l = 4315 - 4059. Solve l = -39*m + 22 for m. -6 Suppose -2*q = 4 - 8. Let z be (-1 - -1 - q)/(2/(-14)). Let a(k) = -k**2 + 14*k + 1. Let j be a(z). Solve -l + 0 = -j for l. 1 Let r = -1160 + 1160. Solve r = -7*l - 26*l + 66 for l. 2 Suppose 0 = -7*i + 398 - 76. Suppose 11*u + i = -20. Let g = u + 6. Solve -4*v = -g*v + 12 for v. -3 Let o = 416 - 143. Let w = 278 - o. Solve -2*v + w = -3 for v. 4 Let s = -2 - -2. Suppose -5*n + 71 = 3*m, n - 48*m = -44*m - 64. Solve -n*h - 35 + 27 = s for h. -2 Suppose -4*x + 9*x - 20 = 0. Suppose -x*j - 4*h + 16 = 0, 5*j - h - 19 = -5*h. Let k(o) = o**2 - 4*o - 3. Let b be k(5). Solve j = b*d + 7 for d. -2 Let i(o) = 3*o + 0*o + 3*o**2 - 4*o**2 + 6*o - 4. Let h be i(6). Let p be (h/(-8) - -2)*8. Solve -n + p*n = -3 for n. -3 Let p(d) = 3*d - 4. Let h be p(0). Let a(b) = -b**2 + 7*b - 6. Let u be a(6). Let q be 1*(u + (-12)/h). Solve 0 = 5*r - 2 - q for r. 1 Let y = -17 + 16. Suppose -2*a - 9*a = 66. Let s be (y - 2/a)*(-12)/4. Solve -1 = -x + s*x for x. -1 Let f = -6884 - -6911. Solve -f - 5 = -8*r for r. 4 Let a(m) = 56*m - 3282. Let w be a(59). Solve 19*g - 164 = -w*g for g. 4 Let f be (439 - (-14 + -9)) + 10. Solve 142*t - f = 24*t for t. 4 Let x = 138 + -106. Suppose 3*t - o - 43 = 0, -2*t + x = 5*o - 4*o. Solve t*m = 6*m - 18 for m. -2 Let h = -37 - -49. Suppose h*i - 6 = 6*i. Solve -4 = -f - i for f. 3 Let m = -257 + 150. Let t = m - -108. Solve 0 = -8*b + 17 - t for b. 2 Let p be -5*(-16)/360 - (-70)/9. Suppose -p*r + 8 = -6*r. Solve -4*g = r - 12 for g. 2 Let j = 329 + -325. Let q be (0/(5 - 0))/((-3)/(-3)). Solve h - j*h = q for h. 0 Let i(k) = -72*k**3 - k**2. Let o be i(-1). Suppose -3*v + 192 = 19*t - 22*t, -5*v + 330 = -3*t. Let c = o - v. Solve 5*l = 4*l - c for l. -2 Let a be (133/21*57)/(1/1). Let y = -354 + a. Solve -5 - y = -4*b for b. 3 Let m(q) = -q**3 - 8*q**2 + 15*q + 5. Let z be m(-10). Suppose 13*a = 14*a + z. Let j = -52 - a. Solve j = -c + 8 for c. 5 Suppose 4*n + 37 = s + 46, 5 = 3*n + s. Suppose n*d - 5*y + 20 = 0, 8*y = -2*d + 5*y + 12. Solve 24 + d = -6*r for r. -4 Suppose 10*l - 32051 = -31821. Solve l*z - 351 = -16*z for z. 9 Let v = 2054 - 2052. Let j be (-2)/(-3)*(-9)/(-2). Suppose -j*n - i + 2 = 0, 3*i - 6 = -2*n - 0*i. Solve -v*f + n*f = -4 for f. 2 Suppose 5*u - 14 = -3*k - 3, -5*u = -5*k + 5. Let o be (3*u)/((-8)/440*-15). Solve 1 - o = 5*g for g. -2 Let k be -87*8/(-6) - (-4 + 2). Let q = 122 - k. Solve -q*y = -3*y + 2 for y. -2 Suppose t - 29*n - 31 = -34*n, 5*t = -5*n + 55. Let q = 8 - 6. Solve q*j = t*j - 8 for j. 2 Let n(u) = u**3 + 8*u**2 + 11*u - 3. Let z be n(-6). Suppose 94 = -4*q - 3*v, q + z*q - v = -86. Let y = q - -24. Solve 3*i + y + 7 = 0 for i. -3 Let z be 5 + (-5 - -1) - -46. Suppose -49*o + 6 = -z*o. Solve o = 3*i - 6 for i. 3 Let l be 23/(4 + 21/(-7)). Suppose -7*u + 12 = -l. Solve -4*w - u = -9*w for w. 1 Let f(q) = -10*q + 7*q**3 + 5*q + 6*q - 2*q**2. Let c be f(1). Let r = 2847 - 2844. Solve -c*p = -r*p + 3 for p. -1 Let p(z) = 9*z + 26. Let m be p(14). Let u = m - 94. Suppose -2*r - u = -62. Solve -5 + r = n for n. -3 Suppose 5*d - 5*u - 75 = 0, -d = -0*u + 3*u - 7. Let z be (-6)/(-2) + d + 4. Solve 3*p + z = -p for p. -5 Let y(j) = -j**3 + 6*j**2 + 20*j - 7. Let v = 272 - 264. Let h be y(v). Solve -7*u = -2*u + h for u. -5 Suppose 0 = 2*g - 4*g + 12. Let o(m) = 2 - 34*m**3 + 18*m**3 - g*m**2 + 7*m + 15*m**3 + 3. Let q be o(-7). Solve q*y = y for y. 0 Suppose -421 - 84 - 865 = -10*l. Solve 22 = -126*w + l*w for w. 2 Let p(w) = -11*w + 18. Let m be p(0). Solve -7*j - m = -10*j for j. 6 Let o be ((-2)/(-24)*3)/(15/1080). Solve -o*p = -p - 85 for p. 5 Let b = -14 + 26. Let a(s) = -9*s - 66. Let l be a(-8). Let q = b - l. Solve 0 = 2*f - q + 16 for f. -5 Suppose 31 = 5*v - 2*s, -31*v - 5*s - 40 = -36*v. Solve v - 25 = 20*n for n. -1 Suppose -24218*w + 24236*w - 540 = 0. Solve -10 = -10*i - w for i. -2 Suppose 5*h - 10*h = 0. Suppose -4*a + j + 65 = 0, a - 8 - 12 = 4*j. Let l be (-15)/2*a/(-10). Solve -l*p + 11*p + 2 = h for p. 2 Let b = -363 - -319. Let g(l) = -l**2 - 46*l - 83. Let f be g(b). Solve 0*x = -5*x - f for x. -1 Suppose -8*t = -3*t - 285. Suppose -t = 6*x + 201. Let r = 43 + x. Solve 3*u + 8 + 7 = r for u. -5 Suppose 4*c - b = 12, -5*b + 7720 = c + 7675. Let f be 1/(-1 + (-14)/(-12)). Solve -h - c = -f for h. 1 Let x be (-90)/63 - 186/(-42). Let b = 65 + -63. Solve a - b*a = -x for a. 3 Suppose l + 4 = 2*u, l - 3*u = -2*l. Suppose l*a = 20, 0 = 2*k + 6*a - a - 59. Solve 23 + k = 8*r for r. 5 Let r be ((-4)/6)/(-1)*(14 - 5). Let j be ((-48)/r - -1) + 35. Solve 2 = -6*z - j for z. -5 Suppose -4*i = 4*m - 32, 11*m = -i + 13*m + 8. Solve i*u + 10 = 6*u for u. -5 Let q be 2 - (-25 + -1 + -1). Suppose 3*j - t = -q - 46, 50 = -2*j + 3*t. Let v be (j/5)/(-5) + 3. Solve -3*k + 16 = v for k. 4 Suppose 69 = 3*t - 5*g, 60*g = 63*g + 9. Solve 27*r + 45 = t*r for r. -5 Let w(g) = -20*g + 151. Let d be w(7). Suppose 29*c - 28*c = d. Solve 0 = -6*m + c*m for m. 0 Suppose -225 = 3*q - 12*q. Solve -72 = q*p - 7*p for p. -4 Suppose -612 = 2*w - 656. Suppose w*d - 24*d = -8. Suppose 4*c + 11 = 5*l, 3*l - 9 = -4*c + 4. Solve -1 = -d*b + l for b. 1 Let t = 72 + -49. Let h be 7 - -26 - (-3 + 8). Solve -h*z + 5 = -t*z for z. 1 Let j(a) = -a**3 + 30*a**2 - 36*a + 2. Let d be j(4). Solve -o - d = -280 for o. 6 Suppose 3*p - 72 = -4*v, 0 = 4*v - 9*v + 4*p + 121. Suppose -4*m + 3 + 9 = 0. Suppose m + v = 4*u. Solve u*n + 10 = n for n. -2 Let d be 7/(-5) + 2 - 936/(-15). Suppose -d = -5*w + 17. Suppose -8 = 2*y - w. Solve -y*x = -x + 15 for x. -5 Let f(x) = x**3 + x**2 - 5*x - 5. Suppose 3*i = -2*i - 10. Let b be f(i). Let t = -24 - -26. Solve t*w = 3*w - b for w. 1 Let q(j) = j**3 + 6*j**2 - j. Let y be q(-6). Suppose 5*u - 53 = 4357*i - 4358*i, -4*i + 5*u = -87. Solve -11*w - i + y = 0 for w. -2 Let o(a) = 5*a**2 + 6*a + 5. Let v be o(-1). Suppose -2*p + 2*f = -3*p - 5, v*p - 19 = 5*f. Solve -3*m - p = 8 for m. -3 Let u(p) = 105*p + 330. Let r be u(-3). Let c be 4/(4/15) - 1. Let s = r - c. Solve -2*m - s - 3 = 0 for m. -2 Let b = -161 - -161. Suppose -21*c + 6*c + 45 = b. Solve -9 = 3*s - c for s. -2 Suppose 2*l + y - 39 = 0, -58 = 4*y - 38. Solve 14 = 2*s + l for s. -4 Let o(v) = 2*v - 4. Let d(g) = -4*g**3 - 2*g**2 - g + 1. Let c be d(-1). Let r be o(c). Suppose 0 = 4*q - 2*u + 1 - 9, -r*u = 0. Solve 0*b = q*b for b. 0 Let w be (1/(-2))/(7/350*-5). Let h be 2/10 + (-5)/25. Solve 0 = 5*u - h*u + w for u. -1 Let r = 11817 - 11057. Solve 772 = -2*z + r for z. -6 Let q be ((-18)/10)/((-153)/1275). Suppose -10*l = -15*l + 60. Suppose -4*d - w = -2*w - 14, -4*w + l = d. Solve b - q = -d*b for b. 3 Suppose 51 = 11*w + 7. Suppose 2*z - 14 = -w*u, 0 = z + 3 - 6. Let d(m) = m**3 + 7*m**2 + 7*m + 6. Let i be d(-6). Solve f + 0*f - u = i for f. 2 Let m = -15412 - -15418. Solve -64*y = -61*y + m for y. -2 Let o be -59 - 20/(-4) - (-1 + -3). Let f = o - -60. Solve 8*l + f = 13*l for l. 2 Suppose -22 = -3*c + 35. Suppose -3*h = 15, d = -d + 3*h + c. Suppose -90*l - 1450*l = -12320. Solve 2*i + l = d for i. -3 Let u(m) = 4*m - 9. Let l be u(3). Suppose 4*w - l = 5. Solve w*h + 20 = 7*h for h. 4 Let s = 27 + -31. Let z be ((-16)/(-6))/(s/36*3). Let y be ((-26)/z - 3) + 12/16. Solve -4*u + y = -7 for u. 2 Suppose 0 = 3*c - 2*p - 21, -23 = -8*c + 4*c + p. Suppose -21*s + 17*s - c*v = -17, -3*s + 2*v + 30 = 0. Solve -2 = s*i + 30 for i. -4 Suppose 7*r + 48 = 10*r. Suppose -20*n = r*n - 36. Solve 5 = f + n for f. 4 Let b be -4 + (-3 - (-6 - -3) - -13). Suppose 2*g + 1 = -y + b, -4*g + 2*y = -8. Solve 0 = -d - g*d - 16 for d. -4 Let a(q) = -q**3 + 10*q**2 - 8*q - 6. Let d be a(9). Let x(k) = -k**3 + 2*k**2 + 4*k + 2. Let g be x(d). Solve -g*n = -0*n - 20 for n. 4 Let z be (675/(25/5))/(-1 - -2). Let i = z + -41. Let o = i - 94. Solve o = 4*c - 2 + 10 for c. -2 Suppose 25 = 10*h - 15. Let t(k) = -k - 11*k**3
{ "pile_set_name": "DM Mathematics" }
*sqrt(108)). -27*sqrt(11)/8 + 3 Simplify ((sqrt(750)*1)/((sqrt(120) + 1*sqrt(120))/sqrt(12)))**2. 75/4 Simplify -5 + 0 + sqrt(1216) - ((sqrt(684) + sqrt(684)*1 + sqrt(19) - sqrt(19))**2 + 3). -2744 + 8*sqrt(19) Simplify 2*(-2 + -3*sqrt(180) - ((sqrt(80)*4 - sqrt(5) - sqrt(5)) + (-3*(sqrt(5) + -2*sqrt(5)))**2)). -64*sqrt(5) - 94 Simplify 3 + 5*(3 + (-6*sqrt(416))/sqrt(2)). -120*sqrt(13) + 18 Simplify ((-2*sqrt(1440) - (sqrt(1000) - (2*sqrt(1000) - sqrt(1000) - sqrt(1000)) - sqrt(1000)))/((sqrt(32)*2 + sqrt(2))*-4))**2. 20/9 Simplify -3 + (sqrt(7)*-3 + 1 - sqrt(84)/(sqrt(120)/sqrt(10))). -4*sqrt(7) - 2 Simplify -3 + (sqrt(5000)*1)/(((sqrt(10) - sqrt(30)/sqrt(3)) + sqrt(10))*1). -3 + 10*sqrt(5) Simplify 4*(5 + (sqrt(1573) - (0 + sqrt(1573)*-2 + sqrt(1573))))**2 + -1. 880*sqrt(13) + 25267 Simplify (sqrt(32)/sqrt(4))**2 + -1*sqrt(72) + ((sqrt(2) - (0 + sqrt(2)))*5 - sqrt(2) - (1 + (sqrt(32))**2)). -25 - 7*sqrt(2) Simplify -6*(sqrt(252) + sqrt(252)*-1) + ((2*sqrt(112))/sqrt(4) + sqrt(28))**2 + 0. 252 Simplify 1 + (6*(sqrt(1300) + -1 - sqrt(1300))*5 + -1*1*sqrt(1300) + sqrt(1300)*-2 + 0)**2. 1800*sqrt(13) + 12601 Simplify 3 + 5 + sqrt(11)*2 + -6*(sqrt(88)/(sqrt(8)*1))**2. -58 + 2*sqrt(11) Simplify 6*-2*((sqrt(21) - sqrt(189))/sqrt(7) + -4*(2 + sqrt(3)))**2. -2064 - 1152*sqrt(3) Simplify 3 + -1*sqrt(17)*2 + (sqrt(425) + sqrt(425) + 0 - sqrt(425) - sqrt(425)) + -5. -2*sqrt(17) - 2 Simplify (((sqrt(110) + sqrt(110)*-1)*4)/(1*sqrt(160) + sqrt(160) + sqrt(10)))**2*6*-4. 0 Simplify (-3 + (1 + sqrt(1008))*1 + 1*-2*sqrt(1008)*3)**2. 240*sqrt(7) + 25204 Simplify -5 + ((sqrt(1700)*-2 - sqrt(17))**2 - (sqrt(17) - (sqrt(17) + sqrt(1088)*-6) - sqrt(17))). -47*sqrt(17) + 7492 Simplify 3 + (sqrt(1573) - (-3*sqrt(1573)*-3 + sqrt(1573)))**2 - (1 + (sqrt(1573) - (sqrt(1573) + -1*sqrt(1573)*4)))**2. -88*sqrt(13) + 102247 Simplify 4*(1*(sqrt(190) + 1*sqrt(190)))/(sqrt(90)*1 - sqrt(10)) + 2. 2 + 4*sqrt(19) Simplify 0 + ((sqrt(13) + 2)*1 - (sqrt(1573) - (sqrt(1573) + -3)**2 - sqrt(1573))) + 2 + -4. -65*sqrt(13) + 1582 Simplify (-2*sqrt(60))/sqrt(3) + (1*sqrt(1620))/sqrt(9). 2*sqrt(5) Simplify ((sqrt(405) - (4 + (0 + sqrt(405) - sqrt(405)) - sqrt(405))) + sqrt(405) + -5)**2 - 6*(sqrt(405) - (-1 + sqrt(405) + sqrt(405) + sqrt(405))**2)*-1. -18150 - 108*sqrt(5) Simplify -3*(sqrt(245) - -3*(sqrt(245) + sqrt(245)*2) - -6*(sqrt(245) + sqrt(245) + (sqrt(245) - (-1 + sqrt(245))) + sqrt(245)))**2*4. -2305392 - 28224*sqrt(5) Simplify -3 + (sqrt(44)*2 + 2)**2 + -2*(0 + 2 + sqrt(11)). 14*sqrt(11) + 173 Simplify (4*(sqrt(1575) + -1) + (-5*(sqrt(700) + -1) - (-1 + 1*sqrt(700))))**2. 4 Simplify ((1 + sqrt(7)*-2 + sqrt(1008)*-1)*6)**2. -1008*sqrt(7) + 49428 Simplify (sqrt(2) + (sqrt(2) - (sqrt(128) + sqrt(128) + (2*sqrt(128) - sqrt(128)) + sqrt(2))) - (sqrt(32) + -5) - (5 + -4 + sqrt(2) + -1)) + 1. -28*sqrt(2) + 6 Simplify -1 + 5 + (sqrt(288)/(sqrt(12) - (sqrt(12) - (sqrt(12) - sqrt(48)))))/sqrt(8)*-4 + 1. 5 + 4*sqrt(3) Simplify 2*((-2*sqrt(175))**2*-3 + -1 + (sqrt(175) + 0 + sqrt(175))**2 + 4)*-1. 2794 Simplify ((6*(1 + sqrt(1088)))**2 + (-5 + -1 + sqrt(1088) + sqrt(1088) + sqrt(1088))**2 + -2*(sqrt(1088)*-1)**2 + 4)*2. 576*sqrt(17) + 93720 Simplify (1*(sqrt(42) + sqrt(378)) - sqrt(42)*-2*6)/(sqrt(1350)*2). 8*sqrt(7)/15 Simplify 1 + (4*-1*(sqrt(605)*-3*6 + 1))**2. -6336*sqrt(5) + 3136337 Simplify 2 + (sqrt(448) + 1 + sqrt(448) + sqrt(448) + -4 + sqrt(448) + -4 + sqrt(448)*-2)**2*-2. -3680 + 448*sqrt(7) Simplify -4*(2*(-1 + sqrt(245)))**2*-5. -1120*sqrt(5) + 19680 Simplify -3 + sqrt(8)*2 + sqrt(2) + sqrt(12)/(sqrt(6)*1 + sqrt(6)) + (sqrt(200) + sqrt(200) + sqrt(200)*2 + sqrt(200) + -4)**2. -789*sqrt(2)/2 + 5013 Simplify -5 + (-2 + sqrt(1900) + -4 + -2)**2. -160*sqrt(19) + 1959 Simplify (-1*sqrt(66))/sqrt(6)*-4 - ((sqrt(88)/sqrt(4))/sqrt(2) - (sqrt(11) + (sqrt(11) + sqrt(11) + 0 + -4)**2)). -12*sqrt(11) + 60 Simplify (1*sqrt(2200))/(sqrt(176)*5)*-1. -sqrt(2)/2 Simplify 4 + (-3*sqrt(153))**2 + (sqrt(2057) + -1 + 1)**2. 3438 Simplify (-2*-2*((sqrt(605) + (-1 + sqrt(605) - sqrt(605)))*-1 + (sqrt(20) + sqrt(5))*-5 + 4))**2. -4160*sqrt(5) + 54480 Simplify (-2 + 3 + -4*(sqrt(832) + -2) + 4)**2. -832*sqrt(13) + 13481 Simplify 3*(-5*(-2 + sqrt(5)*1 + 5 + (sqrt(540)/sqrt(12) - sqrt(5))))**2. 1350*sqrt(5) + 4050 Simplify 2 + 0 + (-3*sqrt(216))/(sqrt(12)*2*3). -3*sqrt(2)/2 + 2 Simplify (((-4*sqrt(77) - sqrt(77))*5)/sqrt(11) - 5*((sqrt(700) + sqrt(700)*3 - sqrt(700)) + sqrt(700)))**2. 354375 Simplify (sqrt(85)/(-2*sqrt(20)) - sqrt(187)/((sqrt(110)/sqrt(5) + sqrt(22))/sqrt(2)))**2. 153/16 Simplify (sqrt(36)/sqrt(3) + sqrt(12))/sqrt(6) + -3 - -1*(sqrt(98) - (2*sqrt(98))**2). -395 + 9*sqrt(2) Simplify (sqrt(209) + sqrt(209)*1*-5)/(sqrt(22)/sqrt(32)) + 4. -16*sqrt(19) + 4 Simplify sqrt(128) + 2 + 5 - (sqrt(126)/(sqrt(847) + sqrt(7)) + sqrt(18)). 19*sqrt(2)/4 + 7 Simplify 3 + ((sqrt(19) + 1 + -4 - sqrt(19))*-3 + -3)**2 + 2. 41 Simplify (4*sqrt(1800) - sqrt(1800))/((sqrt(50) - sqrt(150)/sqrt(3))/sqrt(5) + sqrt(10)). 18*sqrt(5) Simplify (sqrt(1100) - (sqrt(1100) - sqrt(1100)*-2) - (-2*sqrt(176))**2) + sqrt(99) + 4 + 5. -695 - 17*sqrt(11) Simplify 1 + sqrt(125) + ((-1*sqrt(20))**2 - sqrt(5)) + (-4 + sqrt(320))**2 + 3. -60*sqrt(5) + 360 Simplify 4 + (-1*(-3*sqrt(208) + sqrt(208) - sqrt(208)) - ((sqrt(208) - -1*(sqrt(208) - 3*sqrt(208) - sqrt(208)))**2 - sqrt(208))). -828 + 16*sqrt(13) Simplify (2*2*sqrt(171))**2 + (sqrt(171) - (sqrt(171)*-1*-4)**2) + -4*-3*(sqrt(171) + -2)**2. -141*sqrt(19) + 2100 Simplify ((sqrt(1900) - (sqrt(1900) + 2) - sqrt(1900)) + -5 + sqrt(1900) + (4 + -3*sqrt(1900) - sqrt(1900)))**2*-6. -182454 - 1440*sqrt(19) Simplify ((-1*(sqrt(143) - (-5*sqrt(143) + sqrt(143))) - sqrt(143))*2)/((sqrt(11) - (sqrt(11) + 5*(sqrt(11) - -1*sqrt(11))))*-4). -3*sqrt(13)/10 Simplify -5*sqrt(80)/(sqrt(10)*-1*-6) + -2. -5*sqrt(2)/3 - 2 Simplify ((sqrt(171) + sqrt(171)*2 - sqrt(171))*-6*5)/(sqrt(72)/(-5*sqrt(16)/sqrt(2))). 300*sqrt(19) Simplify (-2*sqrt(3456) + sqrt(3456))/(sqrt(15)/sqrt(5)*2). -12*sqrt(2) Simplify -2 + ((sqrt(13) - (-1 + sqrt(13) - sqrt(13)))**2 + -4 - sqrt(130)/(sqrt(40)/sqrt(4))) + -1 + (sqrt(13) - ((sqrt(1300)*2)**2 + sqrt(1300))). -5193 - 8*sqrt(13) Simplify (-5*(sqrt(325) + sqrt(325) + sqrt(325) + -5*(1 + sqrt(325))) - (1*sqrt(325)*3 - 1*sqrt(325)*-2))**2. 1250*sqrt(13) + 8750 Simplify (-6*sqrt(1296))/((sqrt(12) + sqrt(12)*2)*-2) + 3 + 3. 6 + 6*sqrt(3) Simplify (sqrt(10) - (-1*sqrt(50)/sqrt(5) + sqrt(10)))/((sqrt(132)/sqrt(6))/sqrt(11)). sqrt(5) Simplify -4*(4 + 4 + (sqrt(2448)*2 + 5 - -3*(-1 + sqrt(2448)))**2). -244848 - 960*sqrt(17) Simplify 2 + 4 + (sqrt(12)/(-5*-1*sqrt(6)) - (sqrt(10)/(sqrt(5)*2) + sqrt(2) - (sqrt(2) - ((1*sqrt(20))/sqrt(10) + sqrt(2)))))**2. 829/50 Simplify (sqrt(350)/(sqrt(35)/sqrt(45)))/(sqrt(60)/(sqrt(24)*4)). 24*sqrt(5) Simplify 2*(4 + 2 + -2 + 3*sqrt(153)). 8 + 18*sqrt(17) Simplify ((sqrt(35)*1)/sqrt(7))**2 - (-4 + (sqrt(5) - sqrt(20))) - -4*sqrt(180). 9 + 25*sqrt(5) Simplify (4*(2 + (sqrt(252) + 1 - sqrt(252)) + -5)*-2)**2*2. 512 Simplify (-4*sqrt(132)*-2*-3)/(sqrt(1200)*-1 - (sqrt(72)*2)/sqrt(6)). 2*sqrt(11) Simplify ((2*sqrt(4200))/sqrt(3))/(-4*sqrt(56)/sqrt(32)). -10*sqrt(2) Simplify ((sqrt(171) - (sqrt(171) + (sqrt(171) - 1*sqrt(171))))/sqrt(9) - sqrt(19)*3*-4) + 0 + ((0 + sqrt(2299))*-1)**2. 12*sqrt(19) + 2299 Simplify (1*sqrt(64) - sqrt(64) - sqrt(64) - sqrt(400)*1)/(3*(sqrt(6)/sqrt(3) + sqrt(2))*2). -7*sqrt(2)/6 Simplify (0 + sqrt(175) - (sqrt(7) - (sqrt(7) + (sqrt(42)/sqrt(3))/sqrt(2)))) + (1 + sqrt(56)/(sqrt(8)*-2))**2. 11/4 + 5*sqrt(7) Simplify 5 + (-2*sqrt(77))/sqrt(7) + -1 - (sqrt(176) + 0 + ((0 + sqrt(11))*1 - sqrt(11))). -6*sqrt(11) + 4 Simplify (-4 + sqrt(2448) + -1 + sqrt(2448) - sqrt(170)/(sqrt(60)/sqrt(150)))**2. -190*sqrt(17) + 6162 Simplify (sqrt(135) + (sqrt(135) - (sqrt(135) - (sqrt(135) + sqrt(135)*-3)) - sqrt(135)))/(sqrt(3) - (sqrt(3) + sqrt(192))*3). 3*sqrt(5)/13 Simplify (-5*(sqrt(66)*4 + sqrt(66))*-3)/(sqrt(54)/(sqrt(9) + sqrt(180)/sqrt(5) + sqrt(9) - sqrt(9))). 225*sqrt(11) Simplify 4 + sqrt(68) + 3*(2 + sqrt(68)) - 6*((sqrt(68)*2 + sqrt(68) + -1 - sqrt(68)) + sqrt(68))**2. -3668 + 80*sqrt(17) Simplify 2*(3*(sqrt(32) + 0 - sqrt(32) - sqrt(32)))**2*4. 2304 Simplify ((-5*-1*sqrt(11) - (sqrt(539) - (sqrt(539) + 1))) + (4 + sqrt(
{ "pile_set_name": "DM Mathematics" }
pose -62*h + 92*h - 33480 = 0. Is h a multiple of 36? True Suppose 5*p - 15 = 2*p, f - 5*p + 22 = 0. Suppose f*i - 111 = -2*b, 0*b - 5*b - 93 = -2*i. Does 13 divide i? True Suppose 4*c - u - 414 = u, 0 = 5*c + 4*u - 511. Let f(m) = -2*m**3 - 44*m**2 - 44*m - 39. Let s be f(-21). Suppose s*z = 104 + c. Is 27 a factor of z? False Let u be ((-275)/20 - -4)*(2 + 6). Let l be 0/1 - (2 - 1). Is l/(u/77 + 1) a multiple of 21? False Suppose 30*v + 602 = 37*v. Is v a multiple of 4? False Let g be (-109 + -7)/(4/(-6)). Suppose -g = -3*s + s. Suppose -4*i + 25 = -s. Is 7 a factor of i? True Suppose 5*u - 4*u + 7 = 0. Is u/(14/(-16)) + 0 a multiple of 4? True Suppose 5*k + 0*k - 935 = 0. Let o = 41 + k. Is 19 a factor of o? True Let k be (1 - (-30)/(-4))*-4. Suppose k = -c + 3*i, -3*i + 8*i = -2*c - 30. Is ((-56)/6)/(c/30) a multiple of 5? False Let q = 2097 - 1635. Does 11 divide q? True Suppose 213 = 5*v - 67. Suppose -3*i = v + 76. Let y = -33 - i. Does 2 divide y? False Let v(r) = -r**2 - 11*r - 13. Let h be v(-9). Let a = 10 - h. Is (-4)/(-10) + 68/a a multiple of 7? True Suppose -17944 = -5*v - o, -v + 17940 = 4*v + 5*o. Does 103 divide v? False Is 14/(-1*6/(-285)) a multiple of 35? True Let z(n) = n + 16. Let j = -13 - -15. Suppose -4*o - q + 5 = -j*q, 3*q = 2*o - 15. Is 8 a factor of z(o)? True Suppose -19*c - 17 = -207. Is 3 a factor of c? False Let j be (36/(-45) - (-1)/(-5))/(-1). Suppose -5*s = 3*f - 255, -2*s + 4*s + 4*f - 88 = 0. Let y = s + j. Is 12 a factor of y? False Let p(k) = 12*k + 1 + 0 + 34*k. Is p(1) a multiple of 8? False Let w(o) = -18*o + 21. Suppose 5*r + 46 = -4*y, y - 2*r + 3 = -2. Does 32 divide w(y)? False Let s be (0 + -1 + 0)*-2. Suppose -s*d + 2 = -w, -d + 18 - 7 = 2*w. Suppose 3*q - w*q = 3*h - 20, -4*q + 3*h = -110. Is 13 a factor of q? True Let c = -366 - -859. Is c a multiple of 29? True Is 88 a factor of (-27000)/(-405)*(13/4 - 1)? False Let y(s) = -s**3 + 6*s**2 + 18*s - 16. Let i be y(8). Suppose -3*x + 114 = 3*c, i = 5*c - 0*x - 4*x - 172. Is c a multiple of 4? True Suppose 0 = 2*q - 531 + 211. Is q a multiple of 8? True Let t(o) = -2*o**3 - 8*o**2 + 5*o + 9. Let k be t(-6). Let f = k + -88. Is 35 a factor of f? True Is 8 a factor of 36/(-54) - (-1390)/6 - -4? False Let g be 25/(0 + 5) - 3. Suppose s - 138 = -g*s. Does 19 divide s? False Let j(n) = -n + 7. Let y be j(4). Is 10 a factor of y/5 + 18291/65? False Let z(u) = u**3 - 10*u**2 - 12*u + 11. Let j be z(11). Suppose j = -5*b + 11*b - 1152. Does 12 divide b? True Let f(t) = 16*t - 4. Let d(k) = 17*k - 5. Let i(h) = -2*d(h) + 3*f(h). Suppose 4 + 0 = 2*o. Is i(o) a multiple of 12? False Let z = 1 + -7. Let m = z + 8. Suppose m*k - 28 = -4. Does 3 divide k? True Suppose -10*v = -13*v + 1620. Is v a multiple of 27? True Suppose -34*t + 35*t = 8. Let c(m) = 8*m + 1. Let b be c(4). Let w = b - t. Is 16 a factor of w? False Suppose 38 = 4*w - 3*w. Suppose -2 = -3*k + 5*j - j, 0 = -3*k - 4*j - w. Is 324/45*(-20)/k a multiple of 4? True Suppose 6600 = x + 4*x. Does 10 divide x? True Let h be 2 + (-1 + 2)*-15. Let s = 60 + h. Does 14 divide s? False Let j(q) = -q - 3. Let t be j(-6). Let a = -12 - -12. Suppose -t*p + 27 = -a*p. Is 9 a factor of p? True Let b be (10 - 7)*5/3. Suppose 3*c - c - 12 = -2*z, -3*c - b*z + 22 = 0. Suppose 2*g = -c + 28. Is g a multiple of 7? False Let n(h) = -h**3 + 23*h**2 + 18*h + 16. Is n(8) a multiple of 80? True Let i(f) = f**3 + 3*f**2 - 5*f - 2. Let g be i(-4). Suppose 0 = -3*u - g*u + 670. Does 20 divide u? False Let o(j) = j**2 - 8*j + 17. Let r be o(5). Suppose -n + 449 = 5*x + r*n, 89 = x + n. Does 13 divide x? True Let w be 2 - 21*2/6. Let g(d) = -d**3 - 3*d**2 - 2*d - 6. Let z(j) = -j**3 - 2*j**2 - 2*j - 6. Let x(y) = 3*g(y) - 2*z(y). Is 4 a factor of x(w)? True Let h be 625 - ((1 - -2) + -4). Suppose -558 - h = -8*d. Does 37 divide d? True Let d = 0 - -50. Is 11 a factor of d? False Suppose -3*h + 1467 = -633. Suppose 5*u + 0*u - h = 0. Does 18 divide u? False Let p(h) = -h**2 - 3*h + 1. Let z be p(-7). Does 18 divide 430/6 - 9/z? True Let b(h) = 30*h - 270. Is 6 a factor of b(13)? True Let g(j) = 4*j**2 + 57*j + 144. Is g(-22) a multiple of 7? True Let v(u) = -u**3 + 16*u**2 + 22. Let p be v(16). Suppose -24*o = -p*o - 8. Suppose o*y - 72 = -2*y. Is 12 a factor of y? True Suppose q + 5*d - 282 - 331 = 0, -5*q - 3*d = -3043. Does 38 divide q? True Let h(f) = f**3 + 11*f**2 - f - 16. Let d be h(-11). Let n be ((-14)/(-10) + -2)*d. Suppose -20 = -n*s + 10. Is 4 a factor of s? False Let x(h) be the second derivative of -h**3 + 2*h**2 - 8*h. Is x(-11) a multiple of 15? False Suppose -4*s + 20 = -0. Let h be 16/5*s/2. Does 13 divide ((-96)/(-10))/(h/40)? False Let o(t) = 3*t + 1. Let f be o(0). Is 12 a factor of (1/1)/(f/151)? False Suppose 0 = -3*w + 3*q + 27, 3*w = q - 2*q + 11. Suppose 0*d = w*d - 25. Suppose d*s - 3*s - 4*y = 72, -s - y + 33 = 0. Does 9 divide s? False Let q(m) = m**2 + 2*m. Suppose 2*i - 15 + 23 = 0. Let n be q(i). Suppose 303 = -n*b + 11*b. Is b a multiple of 29? False Let q(k) = k**2 + 7*k + 4. Let i be q(-5). Let u = -22 + 5. Let p = i - u. Is 11 a factor of p? True Let b = 24 + -28. Let p be (0 - 2/4)*b. Suppose -3*n - 3*i + i = -46, 2*n - p*i - 44 = 0. Is 6 a factor of n? True Suppose 0 = 5*m - 5*z - 1165, -9*m + 7*m + z + 461 = 0. Is m a multiple of 57? True Let w(j) = j**3 + j**2 + 3*j + 370. Is 5 a factor of w(0)? True Suppose 8 + 1 = 3*a. Let k = 11 - a. Does 4 divide (-47)/(-3) - k/12? False Is 19 a factor of ((-342)/12)/(12/(-416))? True Let r(h) = 94*h - 44*h - 48*h - 2 + 15*h**2. Is 2 a factor of r(1)? False Suppose -6*x = 2*x - 88. Suppose -5*h = -34 - x. Is 9 a factor of h? True Suppose -3*l = -j - 12, 2*j = 5*j - 2*l + 8. Suppose a + 0*a - 2 = j. Suppose -a*d + 66 = d. Does 22 divide d? True Let t = 1101 - 660. Is 21 a factor of t? True Let f = 40 - 35. Suppose p - f*d = 47, d - 20 = 2*p - 132. Is p a multiple of 22? False Let o = 1342 - 876. Does 32 divide o? False Let h = 561 + -156. Is h a multiple of 45? True Suppose -4*f - 2*v + 33 - 1 = 0, 0 = -3*f + 4*v + 24. Suppose f*l - 5*l = 48. Does 2 divide l? True Let b = -10 + 29. Suppose -b = -5*q - 4. Is 2 a factor of q? False Let o be 4*((-3)/12)/(1/(-31)). Suppose 20 + o = a. Is a a multiple of 9? False Suppose 5*k = 4*y - 191, 4*k = -5*y + k + 248. Suppose 2*r = -4*w + 22, -y = -5*r - 6*w + 2*w. Is 3 a factor of r? True Let y be 4 - (1 + -2 - 26). Suppose -w + 2*r = -16, w - y = -0*w - 3*r. Does 11 divide w? True Let b = -760 + 1192. Does 48 divide b? True Let d(s) = 11*s - 3. Let g(r) = 5*r**3 + 2*r**2 - 2*r + 1. Let k be g(1). Does 9 divide d(k)? True Suppose 0 = 2*p + 4*b - 44, 0 = -2*b - 3*b - 5. Is 3 a factor of p? True Is 748 - (-9 - (-6 - 1)) a multiple of 14? False Suppose -r - 2*r - 31 = 4*d, 0 = -2*r - d - 19. Let z = r - -17. Suppose -y + 7 = b, 3*b = -4*y + 16 + z. Is y even? False Let f be 198 + 17 + 0 + (1 - -1). Suppose 5*g - 4*c - f + 81 = 0, -104 = -4*g + 2*c. Is 7 a factor of g? False Suppose 20 = -4*q + 5*z, 2*q - 12 = 5*q - 3*z. Suppose q = 6*m - 34 - 182. Does 9 divide m? True Let v(p) = -p**3 + 3*p**2 + 2*p + 10. Let s be v(4). Let a = 42 + s. Does 17 divide a? False Suppose 11*h + 720 = 15*h. Is 6 a factor of h? True Suppose -4*s = 4, 0 = 13*b - 10*b - 5*s - 3365. Does 8 divide b? True Let u(m) = 2*m**3 - 20*m**2 + 43*m - 46. Does 12 divide u(14)? True Let m be ((-6)/(-8))/(19/76). Suppose 5*a + 11 = 2*i, -3*i = -a - m*a - 27. Does 11 divide i? False Suppose -567 = -2*b - 73. Is b a multiple of 5? False Suppose -3*n + 258 = s, -6*n + 10*n = 5*s - 1309. Is 29 a factor of s? True Let g be 888/84 + (-8)/14. Suppose 2*f - 3*z = f + g, 24 = -4*f - 4*z. Does 28 divide (1 - (-1)/f)*56? True Let m be 1/(-5) + (-122)/(-10). Suppose -5*s + 5*y - 3*y = -20, 4*y - m = -3*s. Does 11 divide -6*(-68)/8 + s? True Let a be ((-2)/(-4))/(1/654). Let u = -171 + a. Is 13 a factor of u? True Let z(f) = 33*f - 4*f**3 + 7*f**3 - 6*f**2 - 4*f**3 + 12 - 3*f**2. Is 16 a factor of z(-12)? True Let f = 896 - 636. Suppose 487 + f = 3*x. Suppose 78 - x = -3*k. Is 19 a factor of k? True Let i(j) = 16*j**2 + j + 1. Let r be i(2). Let a = r - -53. Is a a multiple of 17? False Let d(q) = 3*q**3 + q**2 + 32*q + 70. Does 17 divide d(10)? False Let h(n
{ "pile_set_name": "DM Mathematics" }
Collect the terms in 242 - 30*i**2 - 136 - 50 + 3*i + 3*i - 6*i - 53. -30*i**2 + 3 Collect the terms in -78761*p**2 + 156901*p**2 - 78138*p**2. 2*p**2 Collect the terms in -3*w + 2 - 13*w**3 + 10*w - 3 + 4 - 2. -13*w**3 + 7*w + 1 Collect the terms in -98*o**2 - 1589511708 + 1589511708. -98*o**2 Collect the terms in -252*p - 35*p**3 + 252*p - 315*p**3 + p**2. -350*p**3 + p**2 Collect the terms in -979*l + 1526*l + 1745*l + 3692*l + 1 - 1. 5984*l Collect the terms in -2*l + 4149 - l + 4516 + 0*l + 6*l - 7939. 3*l + 726 Collect the terms in 4673*c + 7436*c - 6055*c. 6054*c Collect the terms in 832*w + 56 - 192 + 138. 832*w + 2 Collect the terms in -37716*i**2 - 382*i + 382*i. -37716*i**2 Collect the terms in -53*p**2 + 47 - 153*p**3 - 84*p**2 - 50. -153*p**3 - 137*p**2 - 3 Collect the terms in -59412*a**2 + 59340*a**2 + 4*a**3 + 0*a**3. 4*a**3 - 72*a**2 Collect the terms in -3194*z - 1 - 1986*z + 1546*z - 1145*z. -4779*z - 1 Collect the terms in -2372*c - 1532*c - 3969*c - 3466*c - 307*c + 2268*c. -9378*c Collect the terms in 9*i - 32*i + 11*i + 12*i + 0*i - 227*i**3 + 222*i**3. -5*i**3 Collect the terms in 1698*r + 1725*r + 1706*r + 1701*r + 1699*r - 8585*r. -56*r Collect the terms in 536*y**2 - 1912*y**2 - 10*y**3 + 533*y**2 + 843*y**2. -10*y**3 Collect the terms in -4520 + 5*o**2 + 3*o**2 + 1505 + 1507 + 1499. 8*o**2 - 9 Collect the terms in 6983 - 6981 + 876*z - 876*z + 19*z**3. 19*z**3 + 2 Collect the terms in 277 + 325 + 273 - 109*f**2 - 876. -109*f**2 - 1 Collect the terms in -2011*h + 1003*h + 1006*h + 4266. -2*h + 4266 Collect the terms in -40*f - 1890 - 257*f - 19*f + 1898. -316*f + 8 Collect the terms in -122627*d**2 + 2*d - 5*d + 20099*d**2 + d. -102528*d**2 - 2*d Collect the terms in -129*x**2 + 308*x**2 - 25*x**2 - 536*x**2. -382*x**2 Collect the terms in -1393*m + 1393*m + 27326*m**3 + 27315*m**3 - 54666*m**3. -25*m**3 Collect the terms in -15*o**2 + 6938507 + 6938503 + 4*o - 4*o - 13877010. -15*o**2 Collect the terms in 41*m**3 - 220954549778 + 220954549778. 41*m**3 Collect the terms in -15*k - 7*k - 17*k + 74*k - 18*k - k - 20*k. -4*k Collect the terms in -119 + 442 + 13*k - 904*k + 96. -891*k + 419 Collect the terms in 30060*q - 60126*q + 30066*q + 433*q**2. 433*q**2 Collect the terms in -464*y - 225*y - 227*y + 917*y. y Collect the terms in 1262699*i**3 - 2525386*i**3 - 58*i + 58*i + 1262688*i**3. i**3 Collect the terms in 11876*c**2 + 40*c**3 - 125*c**3 + 37*c**3 + 33*c**3. -15*c**3 + 11876*c**2 Collect the terms in 3 - 3 - 15175*y - 20742*y. -35917*y Collect the terms in -46*i - 35*i + 125*i - 24*i - 58*i. -38*i Collect the terms in 9 + 4081*f**2 - 8170*f**2 - 1 + 4101*f**2 - 3. 12*f**2 + 5 Collect the terms in 17615709*v**3 - 35231210*v**3 + 17615502*v**3. v**3 Collect the terms in -32 - 19 - 3 + 18 - 25 + 77*x. 77*x - 61 Collect the terms in 1560 + n + 339*n**2 + 1283*n**2 - 1563. 1622*n**2 + n - 3 Collect the terms in -46*i - 52*i + 150*i - 519*i**3 - 52*i + 1845*i**3. 1326*i**3 Collect the terms in 100 + 105 + 185895*m - 205. 185895*m Collect the terms in -19116*n - 19137*n + 38282*n. 29*n Collect the terms in -10*n**3 + 8*n**2 - 28*n**2 - 16*n**3 - 15*n**3 + 36*n**3. -5*n**3 - 20*n**2 Collect the terms in -91*k**3 + 15*k**3 - 81*k**3 - 45*k**3 + 11*k**3. -191*k**3 Collect the terms in -17671*n**2 - 128987585*n + 17665*n**2 + 128987585*n. -6*n**2 Collect the terms in -576889*q**3 + 284631*q**3 - 405353*q**3. -697611*q**3 Collect the terms in -3062*c - 21691*c + 203*c + 393 - 9281*c. -33831*c + 393 Collect the terms in -7*g + 6 + 11*g - 3*g - 25*g**2 + 26*g**2. g**2 + g + 6 Collect the terms in 951*s + 1700*s - 2861*s. -210*s Collect the terms in -1117 + 379 + 371 + 368 - 6*y. -6*y + 1 Collect the terms in -139*a + 571*a - 80*a**2 - 135*a - 155*a - 141*a. -80*a**2 + a Collect the terms in -97 - 254 - 769*h**3 + 351. -769*h**3 Collect the terms in -342*y + 73*y + 41 + 142 - 74*y. -343*y + 183 Collect the terms in -13682*o - 20 + 27498*o - 13743*o - 14. 73*o - 34 Collect the terms in -114356*z**3 - 123582*z**3 - 14422*z**3 - 166886*z**3 + z. -419246*z**3 + z Collect the terms in -14*j**2 + 16*j**2 + 5256988*j + 5256981*j - 15770959*j + 5256990*j. 2*j**2 Collect the terms in 397 + 401 + 450 - 1674*n**3 - n**2 - 1247 + n**2. -1674*n**3 + 1 Collect the terms in -3118456 - 10*z**3 - 217*z**2 - 202*z**2 + 419*z**2 + 3118456 + 12*z**3. 2*z**3 Collect the terms in 674*y**3 + 598*y**3 + 969*y**3. 2241*y**3 Collect the terms in 22*u - 2 - 4 - 50*u + 5 - 108*u. -136*u - 1 Collect the terms in 22*p - 6*p - 117 - 2425*p**2 - 70 + 187. -2425*p**2 + 16*p Collect the terms in 24*l + 495476*l**2 - 9*l - 15*l - 495364*l**2. 112*l**2 Collect the terms in 58*u**2 - 58*u**2 + 1235*u**3 + 894*u**3 - 2576*u**3. -447*u**3 Collect the terms in -10857 + 10857 - 68*d + 186*d + 54*d**2 - 56*d - 62*d. 54*d**2 Collect the terms in 48*k**2 + 35*k**2 - 7*k**3 - 15*k**2. -7*k**3 + 68*k**2 Collect the terms in 5874511*f - 3 - 5874499*f + 0. 12*f - 3 Collect the terms in 406 + 534 - 174 - 23*k - 11*k + 36*k. 2*k + 766 Collect the terms in -282210*h**3 - 282926*h**3 + 564146*h**3. -990*h**3 Collect the terms in 236 - 478 + 242 + 15721*l**3. 15721*l**3 Collect the terms in 1 - 4414386*l + 4413860*l - 1. -526*l Collect the terms in -3 - 3791823*g + 4*g**3 - 4*g**2 - 3792068*g + 7583891*g + 3. 4*g**3 - 4*g**2 Collect the terms in 4099513299*l**2 + l - 4099513336*l**2 - 2*l. -37*l**2 - l Collect the terms in -97*i - 18*i + 898*i**2 - 452*i**2 - 447*i**2. -i**2 - 115*i Collect the terms in 11537*m - 11536*m - 2 + 10 + 2. m + 10 Collect the terms in 28303*n - 445*n + 25474*n. 53332*n Collect the terms in 30103*d**2 - 30117*d**2 + 4*d - 4*d. -14*d**2 Collect the terms in -18 - 25 - 3 - 246*y + 252*y + 67. 6*y + 21 Collect the terms in 24035*p + 24036*p - 96166*p + 24013*p + 23935*p. -147*p Collect the terms in 86*g**2 - 30*g**3 - 1683*g**2 - 6 + 0*g + 0*g. -30*g**3 - 1597*g**2 - 6 Collect the terms in i**2 - 246216*i**3 + 8*i**2 - 9*i**2 - 19316*i**3. -265532*i**3 Collect the terms in -36*j + 6*j + 6693*j**3 + 3*j + 27*j. 6693*j**3 Collect the terms in 95*b**3 - 85513 - 4*b**3 + 256533 - 85511 - 2*b**2 - 85509. 91*b**3 - 2*b**2 Collect the terms in -3947*p + 2066*p + 1878*p - 125. -3*p - 125 Collect the terms in -52685*c**2 - 55916*c**2 + 108581*c**2. -20*c**2 Collect the terms in 718*r**2 - 343 + 173 - 126*r + 127*r + 170. 718*r**2 + r Collect the terms in 0*m + 186*m - 3*m**3 - 13*m + 43*m. -3*m**3 + 216*m Collect the terms in 2 - 2 + 10177907433158*m**2 - 10177907433151*m**2. 7*m**2 Collect the terms in 3038 + 3029 - 3*w**3 - 6108. -3*w**3 - 41 Collect the terms in -39185 + 13084 + 13025 + 13076 + 4*z. 4*z Collect the terms in 262*g - 432*g + 75*g + 91*g + 9*g**2. 9*g**2 - 4*g Collect the terms in 2*v**2 - 188796*v**3 - 188795*v**3 - 2*v**2 + 377602*v**3. 11*v**3 Collect the terms in 1014*r - 856*r + 1275*r - 55*r + 1422*r. 2800*r Collect the terms in -p**2 + 65 - 33 - 34 + 0*p**2 - 144*p. -p**2 - 144*p - 2 Collect the terms in -274841*j - 284177*j - 19693*j - 11306*j - 24458*j. -614475*j Collect the terms in -4 + 5 - 28790*r + 1 - 3306*r. -32096*r + 2 Collect the terms in -6295*h**2 + 5062*h**2 - 10271*h**2 - 5054*h**2 + 3. -16558*h**2 + 3 Collect the terms in -1606*q + 3135*q - 1609*q. -80*q Collect the terms in -2090*a + 5 + 702*a - 6 + 701*a + 3 + 688*a. a + 2 Collect the terms in 9 + 106044559*g**3 - 106044548*g**3 - 9. 11*g**3 Collect the terms in 29712*l - 2314 + 2314. 29712*l Collect the terms in -52252*l**2 + 25884*l**2 + 26144*l**2. -224*l**2 Collect the terms in -9796*f + 29782*f - 9802*f - 10174*f. 10*f Collect the terms in 2*x**3 - 2*x**3 - 2432*x**2 + 2432*x**2 + 1 - 4*x**3 - 10. -4*x**3 - 9 Collect the terms in 4 + 62*q**2 + 63*q - 4 + 0 - 3. 62*q**2 + 63*q - 3 Collect the terms in 1 - 10786*t**3 - 1 + 23075*t**3 + 13604*t**3. 25893*t**3 Collect the terms in 5*i - 6*i - 5 + 0*i + 6 + 3260*i**2. 3260*i**2 - i + 1 Collect the terms in 141 + 320 - 25 + 237 + 5*z**3. 5*z**3 + 673 Collect the terms in -15588606864*h**2 + 31177213741*h**2 - 15588606867*h**2. 10*h**2 Collect the terms in 5 - 936*m - 13 + 0 + 395*m + 8. -541*m Collect the terms in -37917545324*d**2 + 37917545324*d**2 - 88*d**3. -88*d**3 Collect the terms in -45*c - 74*c + 122*c - 2597
{ "pile_set_name": "DM Mathematics" }
3889 or -2/11? -2/11 Is 273/19 less than 13? False Are 116.64 and -2 unequal? True Which is smaller: -347 or -354? -354 Which is smaller: 3047 or 3046? 3046 Which is greater: -123 or -5? -5 Which is smaller: 9 or 3329? 9 Which is smaller: -10 or -14? -14 Which is smaller: 1/3 or 2/181? 2/181 Is 4/829 at least 1? False Is 9046 bigger than 9042? True Which is greater: -216/7 or 0.1? 0.1 Is 3/1058 at most -1? False Does -3462 = -3462? True Which is bigger: -1/131 or -1? -1/131 Is 0 at most 36/35? True Is 651 > 649? True Is 300 <= 1? False Is -229 less than or equal to -229? True Are 0.334 and -1 non-equal? True Does 10641 = 10641? True Is 1 >= -2/353? True Which is smaller: -1204 or -1206? -1206 Is -52 <= -1179/23? True Which is greater: -5/12 or -0.3? -0.3 Is -501 greater than -497? False Which is smaller: 48 or 95/2? 95/2 Is -8 less than 454? True Which is bigger: -270 or -289? -270 Is -12.9 greater than 265? False Which is smaller: 815 or 2446/3? 815 Is -868 less than -5209/6? False Which is bigger: -348/13 or -27? -348/13 Do -10 and -3 have the same value? False Which is smaller: -341 or -258? -341 Which is smaller: 1 or -2/65365? -2/65365 Is -19.5 greater than -12? False Which is smaller: 1/3411 or -1? -1 Is -356 <= 0.6? True Are 1 and -218.6 equal? False Is -1 at most as big as -4/285? True Which is greater: 17 or 16? 17 Is 7 at most as big as -426? False Which is greater: -405 or 3/5? 3/5 Which is greater: -2/213 or -1? -2/213 Is 1 <= 1/108? False Which is greater: 1 or -1/214? 1 Is -28 less than or equal to -1090/39? True Is -178 >= -184? True Which is smaller: 1/474 or 1? 1/474 Is 50 greater than 22? True Which is bigger: 1/1721 or 0? 1/1721 Is -3/230 <= 1? True Do -1 and -4/337 have different values? True Which is bigger: 47.54 or -0.3? 47.54 Which is smaller: -5/22 or 1? -5/22 Which is bigger: 2 or -48/5? 2 Which is smaller: -1/3557 or 1? -1/3557 Is -15 less than or equal to 0.336? True Which is smaller: 249 or 0? 0 Are -336 and -341 equal? False Which is smaller: -985 or -10842/11? -10842/11 Is 2 at least 14329? False Is 1/4 at most as big as -0.0761? False Which is smaller: 160/3 or -17? -17 Which is bigger: 1 or -2693? 1 Is -0.1 at least as big as 30839? False Which is smaller: -60 or -58? -60 Is 991 smaller than -1? False Are 0 and -349 equal? False Is 2/7 at most 103? True Which is smaller: 211 or -5? -5 Which is bigger: 23 or 21? 23 Which is greater: 1 or 56/25? 56/25 Which is bigger: -433 or -437? -433 Which is smaller: 806 or -1/5? -1/5 Which is bigger: 133/9 or 16? 16 Does 808 = 810? False Are -22 and 0.142 non-equal? True Is 1 at most as big as 2/5529? False Which is greater: 5 or 0.226? 5 Which is bigger: 122 or 118? 122 Which is bigger: 745 or 747? 747 Does -11/35 = -1? False Which is greater: 110/3 or 36? 110/3 Is -344 greater than or equal to -343? False Does 64 = -2/21? False Is 1 less than 2/1191? False Which is greater: 0 or 4/233? 4/233 Which is bigger: -1 or -0.08? -0.08 Which is smaller: 9 or -2/7? -2/7 Are -2431 and -12156/5 nonequal? True Is -1 at most 67/184? True Which is smaller: 1 or -1/7867? -1/7867 Are 116 and 33 non-equal? True Which is bigger: 4/5251 or 1? 1 Is 62577 > 62578? False Do 22 and 11 have the same value? False Which is bigger: 3429 or 3428? 3429 Is -5/11 at least as big as 69? False Is 868 less than or equal to 867? False Are -529 and -528 nonequal? True Are -1 and 8/1019 nonequal? True Is -3585 at least as big as -3586? True Which is smaller: 0 or 3/2494? 0 Is -0.1352 at least as big as -2? True Is 1/2 >= 35? False Is 629 at least as big as 629? True Is -1 smaller than 9/229? True Which is greater: 26 or 21? 26 Is -22 <= 2? True Is -2646 at most as big as -2646? True Is -72 at least -71? False Which is smaller: 263/83 or 4? 263/83 Is -849 less than -849? False Which is greater: 1 or 9/1456? 1 Which is greater: 25 or 7? 25 Which is smaller: 5 or -333? -333 Are 50 and 45 non-equal? True Is 2/5 > 86? False Which is greater: 23/10 or 3? 3 Which is smaller: 9 or -38? -38 Is -284 equal to 3? False Is 2/839 smaller than 0? False Is -1 not equal to -3/340? True Which is smaller: 1/244 or -1? -1 Are -209 and -223 equal? False Is 1446/7 != -0.1? True Which is bigger: -200/19 or -10? -10 Which is greater: 789 or -3? 789 Which is greater: 35 or 311/9? 35 Is -40515 at most as big as -40515? True Which is smaller: -4.18 or -8/17? -4.18 Is 130 smaller than 2? False Which is greater: 853 or 852? 853 Which is bigger: -125/134 or 0? 0 Which is bigger: -22/73 or 0? 0 Which is greater: -2/7 or -827? -2/7 Is -3623 >= -1/3? False Are 7372/13 and 566 non-equal? True Which is greater: 49 or 9? 49 Which is bigger: -27/52 or -1? -27/52 Which is greater: 0 or -306/37? 0 Are 0 and 7 equal? False Which is bigger: 5 or -25? 5 Which is bigger: -13/23 or -1? -13/23 Is 4 less than or equal to 15/4? False Which is smaller: 0.3 or -58? -58 Is -279 < 0.1? True Is 2 > -33? True Which is smaller: 28 or -23/3? -23/3 Is 39 less than 44? True Is 5 greater than 98/23? True Which is bigger: 51 or 1561/31? 51 Is 0.64 smaller than -1/4? False Which is bigger: 8772/7 or 1252? 8772/7 Which is greater: 1 or -5/1042? 1 Which is smaller: 2/1759 or 1? 2/1759 Which is greater: -1 or 1/181? 1/181 Does -2 = -33? False Which is bigger: 1346 or 1345? 1346 Which is bigger: 78 or 4? 78 Which is smaller: -87/5 or -18? -18 Which is smaller: -2269 or -2268? -2269 Which is smaller: -548 or -547? -548 Is 999 bigger than 976? True Which is greater: 0 or 22/177? 22/177 Which is smaller: -61/15 or -5? -5 Which is smaller: 22 or 14? 14 Which is smaller: 2 or -307? -307 Is 913 less than or equal to 912? False Is -2 greater than -10/13? False Which is greater: 57 or 62? 62 Which is bigger: 155/143 or 1? 155/143 Which is bigger: 52 or -26? 52 Is 136 greater than 273/2? False Is -41.7 smaller than 0? True Which is bigger: 1234 or 1237? 1237 Which is smaller: -141 or -164? -164 Which is bigger: 637 or -4? 637 Is -1334 at most as big as -1334? True Is -7 not equal to -59? True Which is bigger: 125 or 0.019? 125 Are 2/61 and 4 unequal? True Which is bigger: -6/5 or -1284? -6/5 Is -8 at most as big as -14? False Is 497 at least 506? False Is -147 <= 2? True Is -158 >= -157? False Which is smaller: 106 or -8? -8 Is -14 <= -546/41? True Is 5/9 bigger than 0.5? True Which is smaller: 7311 or 7310? 7310 Which is bigger: -733 or 0.07? 0.07 Does -1 = -60/167? False Is -36/7 not equal to -4? True Are 1/5 and -162 unequal? True Which is smaller: -436 or -0.13? -436 Which is smaller: -153 or -154? -154 Is -1 smaller than -1/56407? True Is 81 at most as big as 81? True Which is smaller: -4 or -184? -184 Is 1623 equal to 1630? False Which is smaller: -6/359 or 0? -6/359 Which is greater: -5162 or 1? 1 Does 25166 = 25167? False Is 151 equal to 154? False Which is smaller: 1 or 2/693? 2/693 Which is smaller: -22472 or 1? -22472 Is -123 bigger than -5? False Which is bigger: 0 or 2/48399? 2/48399 Is -4231 greater than -4228? False Which is greater: 3/92 or -1/3? 3/92 Is 0 at least as big as 33/1207? False Is 1 <= 87/71? True Which is bigger: 63 or 68? 68 Which is bigger: -6 or -469/100? -469/100 Is 7 at most as big as 7? True Is 4/11 at most -529? False Is 1116 greater than 1114? True Is 53/2 at least as big as -1? True Is 172 != 515/3? True Is 5/12 less than or equal to -1? False Which is smaller: 257 or 242? 242 Which is smaller: 9 or -16? -16 Which is bigger: -1 or 1/20? 1/20 Is -1/3 at least 7.5? False Which is smaller: 0 or 2/8305? 0 Which is smaller: 16 or 65/4? 16 Which is bigger: -2 or 29.1? 29.1 Is 0 > 5/154? False Is 3/917 smaller than 1? True Which is greater: 3 or -90? 3 Which is smaller: -18 or -391/21? -391/21 Which is greater: -1/2 or 8053? 8053 Are 0.1 and 3052 non-equal? True Is 1048 equal to 2097/2? False Is 296 at most as big as 295? False Which is smaller: -482 or -481? -482 Is 2 < 36/41? False Is -3/365 >= 1? False Which is smaller: -1 or -2393? -2393 Is 10.6 equal to -1? False Is -39 greater than 0.08? False Which is greater: 0 or -24/65? 0 Which is smaller: -1 or 4/167? -1 Which is bigger: -310 or -312? -310 Are -113 and -147 equal? False Is 2/85 smaller than 0.4? True Which is smaller: 171/8 or 21? 21 Which is smaller: 5065 or 5063? 5063 Do 0 and 2/2499
{ "pile_set_name": "DM Mathematics" }
5345/1089 - -7/363. Let d = -23393/6 + 3908. What is the common denominator of a and d? 18 Find the common denominator of 62/21 and (14/21)/(3*22/(-147)). 231 Suppose -7 - 47 = -2*d. Suppose 3*l = 6*l - d. What is the lowest common multiple of l and 11? 99 Let f(u) = -11*u - 1. What is the lowest common multiple of f(-1) and 18? 90 Let w = 124 - 84. Suppose 2*y = -3*h + w, -3*y + 0*h = 3*h - 60. What is the lowest common multiple of y and 22? 220 Suppose l + 5 = 0, 4*l + 34 = 3*n + 5. Suppose -3*w - n*b = 3 - 21, -3*w - 5*b + 24 = 0. What is the least common multiple of 11 and w? 33 Suppose h - 5*h = -4*m - 24, 0 = 5*h - 2*m - 21. What is the least common multiple of h and 24? 24 Let x = -86 + 104. What is the least common multiple of x and 74? 666 Let n = 39 + -25. Suppose -c + n = -0*c + 2*a, -a + 9 = c. Suppose -8 = 2*z + 2*q - c*q, -4*z + 29 = 5*q. What is the smallest common multiple of 1 and z? 1 Suppose -5*u + 5*v + 101 + 59 = 0, 4*v - 52 = -u. Calculate the common denominator of (7/11)/((-9)/u) and -27/5. 55 Suppose 0 = -5*k - 32 - 8. Find the common denominator of (-2 - 0)*(-114)/(-12) and (1 - 0) + (-70)/k. 4 Suppose -3 = -y - 1. Suppose v = 4*o - 0*v - 41, 4*o + 5*v = 11. What is the least common multiple of o and y? 18 Suppose -y = 3*y + 80. What is the lowest common multiple of 4 and 6/(-27) + y/(-9)? 4 Calculate the common denominator of -79/8 and (-21)/9*(-45)/(-93). 248 Calculate the common denominator of 89/16 and 3/6 - 158/(-48). 48 Calculate the least common multiple of 10 and 15/(2 + (-5)/10). 10 Let l = 33 + -19. Let u(t) = 2*t - 6. What is the smallest common multiple of u(7) and l? 56 Calculate the common denominator of 199/140 + (90/14 - 6) and -139/12. 60 Suppose -2*y + 4*y - 40 = 0. What is the lowest common multiple of y and 36? 180 Let j(m) = 4*m + 2. Let q(l) = l - 1. Let b(f) = j(f) + 3*q(f). Calculate the least common multiple of 10 and b(1). 30 Let i = 102 - 27. Suppose 0 = 4*k - 5*g - i, 6*g - 83 = -4*k + 3*g. Calculate the lowest common multiple of 16 and k. 80 Suppose -9 = i - 29. Let c be 4/12 - i/(-3). Let n(u) = u**3 - 6*u**2 - 7*u + 10. Calculate the least common multiple of 10 and n(c). 10 Let d(k) = k**2 - 9*k - 4. What is the least common multiple of d(10) and 8? 24 Let m = 10 + -6. What is the common denominator of 1/8 and 79/6 - 2/m? 24 Suppose -14 = -4*a - 6. What is the lowest common multiple of a*(1/2)/1 and 9? 9 Suppose -4*u - 8 + 48 = 0. Calculate the lowest common multiple of 12 and u. 60 Suppose -2*h - 78 = -4*j - 0*h, 73 = 4*j - 3*h. Let a = j + -12. What is the lowest common multiple of a and 4? 20 Calculate the common denominator of (-22)/(-3)*(-3 + 90/28) and -31/8. 56 Let r = 0 - -10. Let m = 18 + -14. Calculate the least common multiple of m and r. 20 Let o = -8/217 + -4911/2170. Calculate the common denominator of -61/78 and o. 390 Let m = -619 + 3123/5. Calculate the common denominator of 9/(-36) + (-177)/60 and m. 5 Let u = 29 - 9. Let z be ((-3)/(-6))/((-1)/(-6)). Suppose -5*r - 16 = -4*b - 126, -r = 3*b - z. What is the lowest common multiple of r and u? 180 Suppose 0 = b - 21 + 7. Let h = 4 + b. Calculate the lowest common multiple of 22 and h. 198 Let p be (-2)/(-3) - 2/57. Let a = 829/342 + p. Calculate the common denominator of a and ((-76)/(-6))/((-12)/(-45)). 18 Suppose -b + 5*m = 5, 5*b - 3*b + m - 12 = 0. Let c = -8 - -16. Calculate the least common multiple of c and b. 40 Let d = 135 - 400/3. Let c(w) = w + 17. Let u be c(-7). What is the common denominator of (-4)/u - 147/(-55) and d? 33 Calculate the smallest common multiple of (-20 - -23)*(2 - -49)/3 and 9. 153 Suppose 0 = 2*f - 12 - 40. Calculate the least common multiple of 14 and f. 182 Let h = 0 - 0. Suppose -q + 4*q - 66 = h. Calculate the least common multiple of q and ((-20)/(-4) - 6)*-4. 44 Let j = 3 - 11. Let r = -2 - j. Calculate the least common multiple of 10 and r. 30 Suppose 2*v = 28 - 12. Let u(r) be the third derivative of -r**5/60 - r**4/6 - 2*r**2. What is the lowest common multiple of u(-3) and v? 24 Let k(c) = c**2 + 11*c + 10. What is the lowest common multiple of 5 and k(-11)? 10 Let n = 7 + -3. Let c be (-6)/15 - 808/(-20). Suppose -4*o = 5*i + 32 - 93, o - c = -n*i. What is the least common multiple of 2 and i? 18 Suppose 0*y + y = 2*f - 60, -3*y + 172 = 5*f. What is the least common multiple of 28 and f? 224 Let j be (-69996)/(-292)*2/48. Let z = -83/73 - j. Find the common denominator of z and -77/12. 24 Let a = 1 - 1. Suppose 3*c - 2 = 4*c - 3*r, a = 3*c - r - 10. Suppose -c*k + 37 = -51. Calculate the lowest common multiple of 18 and k. 198 Let k = -10843/12 + 907. Calculate the common denominator of 71/22 and k. 132 Let l be (0 - 4181/54)/(-12). Let t = l - -14/81. Calculate the common denominator of t and -61/2. 8 Let d = 10 + -11. Find the common denominator of -115/6 and ((-385)/(-49))/(-1 + d). 42 Suppose -4*j + 5 = 3*v, 3*v = -3*j + 9 - 0. Let g = -2 - -6. Suppose 42 = -g*a + v*a. Calculate the smallest common multiple of a and 8. 56 Suppose -2*d = -19 - 29. Find the common denominator of 3186/72*(-1)/3 and (3 + -241)*(-1)/d. 12 Let z = 1/1015 - -94393/2030. What is the common denominator of 27/4 and z? 4 Suppose 1 = -2*k - 3*v, 2*k + v + v - 4 = 0. Suppose -4*g + 19 - 3 = 0, 3*c - 36 = -3*g. Calculate the least common multiple of c and k. 56 Let n be (-3 - -12)*(-2)/6. What is the common denominator of 19/4 and n/((-198)/21) - -2? 44 Let k(j) = j**3 - j**2 - j + 387. Let x = -2 - -2. Let z be k(x). What is the common denominator of -59/8 and z/24*(-4)/(-12)? 8 Let n = -6729 + 188501/28. What is the common denominator of -25/36 and n? 252 Find the common denominator of (1/6)/((-2)/94) and (-8)/(-24) + (-2)/(-8). 12 Let f = -6 + 8. Let j = -22501/48 - -1411/3. Calculate the common denominator of j and f/4 - 255/(-24). 16 Let d = 27485 + -549589/20. Calculate the common denominator of 109/12 and d. 60 Let v be (2/(-6))/(1/(-9)). Let g = 0 + v. Suppose -4*q + 9 = -g*q. Calculate the lowest common multiple of 1 and q. 9 Suppose 4*v = 4*b - 28, 4*b - 2*v = -b + 23. Suppose 4*k + b*t = k + 27, -3*k + 2*t + 37 = 0. Let p = -1 - -2. Calculate the least common multiple of p and k. 11 Let b = -1023 + 9248/9. Find the common denominator of 40/27 and b. 27 Let c = 228 + -2050/9. What is the common denominator of -23/126 and c? 126 Let q = 4/421 + -40011/1684. Find the common denominator of -23/3 and q. 12 Let i(a) = -5*a**3 + a**2. Calculate the smallest common multiple of 18 and i(-1). 18 Let g(f) = -f + 10. Let z be g(9). Let c(h) = h**2 - 1. Let r be c(z). Suppose -3*x + r*x = -6. What is the least common multiple of x and 5? 10 What is the common denominator of (-55)/(-16) + -3 + 5 and 87/10? 80 Let f = -2942 - -850. What is the common denominator of 137/6 and 4/22 + f/(-352)? 24 Let f(s) = -2*s - 12. Calculate the least common multiple of f(-9) and 14. 42 Let j = 334/57 + -1/38. Find the common denominator of j and -45/34. 102 Find the common denominator of 54/7 and (3/1)/((-9)/70). 21 Suppose -4*b + 4*s - s = -55, -2*b = -2*s - 26. What is the smallest common multiple of 14 and b? 112 Let n(o) = 5*o - 5. Suppose -3*l - 2 = -g, 0 = -g - 0 - 4. Let y = 14 - l. Calculate the smallest common multiple of y and n(5). 80 Let l be 2/(-4) + 8532/(-40). Let r = l + 216. Find the common denominator of -46/9 and r. 45 Let j be 6384/(-20)*(-6)/16. Let u = -120 + j. What is the common denominator of u and (121/8)/(45/20)? 90 Suppose -t = t - 12. Suppose 0 = -4*q - 2*w + 54, -2*q - 2*w = 1 - 23. Suppose 4*g - q = 2*g. Calculate the lowest common multiple of t and g. 24 Let t = 14 - 12. What is the least common multiple of t and 10? 10 Let b = 13 + 11. Calculate the smallest common multiple of 6 and b. 24 What is the common denominator of -58/7 and (-4236)/(-3420) + 2/(-19)? 105 Let o = 218461/18 - 12140. Calculate the common denominator of o and 87/2. 18 Suppose -2*j = 14 + 2. Let n = j + 30. Calculate the least common multiple of 8 and n. 88 Suppose -x + 3 = -0*x. Let z = -10248 + 143555/14. What is the common denominator of -2 + x/((-18)/(-17)) and z? 42 Suppose 0*c + c + 3 = -i, 0 = -2*c - 4*i - 16. Calculate the least common multiple of c and 1. 2 Let l = 10 - -1. Calculate the smallest common multi
{ "pile_set_name": "DM Mathematics" }
et w = 19.8 - 20.8. What is the closest to w in -5, 2/13, h? h Suppose -3*d - 6 = -4*o + 8*o, 4*o = d + 2. Let k be (d/21)/(-9 + 60/7). What is the closest to 0.1 in -5/11, 1, k? k Let x = -42965 + 300757/7. Suppose -3 = -5*t + 7. Suppose 3*b = t*b - 1. What is the nearest to b in -1, 0.5, x? -1 Let n = -1743/5 + 350. Let z be (-45)/(-36) - -6*(-335)/1800. What is the closest to n in z, 0.1, 0.4? 0.4 Let k = -2470 + 12349/5. What is the closest to 38 in k, 6/5, -4, 3? 3 Suppose 0 = 609*i - 530*i. Let x = 5/6 - 4/3. Let m = -2 - -3. What is the nearest to m in i, x, -2/9? i Let c = 246 - 413. Let h = c + 165. Let d = 0.23 + 0.17. What is the nearest to -0.1 in h, -3, d? d Let y = 190 - 203. Which is the nearest to -0.3? (a) -3 (b) 7 (c) y a Let s be (36/(-16))/((-39)/(-24) - 2). Which is the nearest to 1/4? (a) s (b) -3/8 (c) 1/42 c Let s = 50510 - 50526. Let r be (-27)/33 + (2 - 1). What is the nearest to -1/3 in s, -2, r? r Suppose 3*m + 0*m + 7 = q, -q + 2*m + 5 = 0. Which is the closest to q? (a) -0.4 (b) 0.5 (c) 112 (d) -2 b Let v = 1182 + -1179. What is the closest to 0 in 1/2, -126, -2, v? 1/2 Let w = 2 - 1. Let g be ((-1)/18)/(15*(-67)/(-12060)). Which is the nearest to w? (a) -0.29 (b) g (c) -0.5 a Let t = 1574213/121 + -13010. What is the closest to -0.1 in -0.4, t, 2/5? t Suppose -14 = 2*w + 5*h + 15, -h - 33 = 2*w. Let v(a) = -2*a - 31. Let o be v(w). Let i be 0 + (o - 35/5). What is the closest to 10 in 1, i, 0? 1 Let y = -198 + 189. Let s be (-8)/(-6)*y/18. What is the closest to -0.1 in s, -1/2, -1/7? -1/7 Let x = -4.507 + 4.91. Let f = x - -0.097. Which is the nearest to -2/23? (a) -0.2 (b) -2/9 (c) f a Let o = -23 - -22.6. Let t = -15.9 - -16.3. What is the closest to 2 in t, -0.5, o? t Let n = -141/10 + 137/10. Which is the nearest to 30? (a) 2/11 (b) n (c) 23 c Let x(r) = r**3 - 9*r**2 - 11*r + 14. Let a be x(10). Let i = 76.3 - 76. Let m = 389 - 389.05. What is the closest to m in a, i, 3? i Let f = 1807.7 + -1808.8. Which is the nearest to f? (a) 0.02 (b) -4 (c) 6/11 (d) -4/9 d Let o = 506/21 + -71/3. Let b = 879/5 - 877/5. What is the closest to b in -0.5, o, 0.04? o Let f = -0.03 + 0.13. Let n(p) = -1589*p - 12709. Let u be n(-8). What is the nearest to f in u, 10, 3/4, 2? 3/4 Let t = 2.6 + -2.4. Let j = 2285 + -2284.9. Which is the closest to 0? (a) -3/5 (b) t (c) j c Let f = -49 + 49.382. Let n = -0.018 - f. Let g = -6 - -5.5. What is the closest to -1/3 in n, g, -1/8? n Let i = 2132.86 - 2132.8. What is the nearest to -0.1 in 0.2, i, -4/13, 5? i Let v = 0.302 - 0.702. What is the nearest to 535 in -1, v, -4/7? v Let q be (0 + 2)*((-18)/(-12) + -2). Let t = -89.85 - -92. Let p = t + -0.15. Which is the nearest to -2? (a) 0.2 (b) q (c) p b Let w = -2160.6 - -2161. Suppose 4*p = -4*h + 24, 3*p = 4*h - 15 - 2. Which is the closest to -4? (a) w (b) 1/9 (c) h b Let t = 19 - 18. Let k = -763.2 + 763. What is the closest to t in 60, k, 3? k Let k = 13632 + -13635. Which is the nearest to -12? (a) k (b) -2 (c) -2/3 (d) -1/7 a Let g = 2245.3 - 2245. Which is the closest to 0.1? (a) -6 (b) -5 (c) g c Let s = -11.05 + 6.05. Let t = 4.81 + -0.81. What is the closest to 4 in t, s, 5/3? t Let h = 7484.05 - 7484. Let g(j) = -j - 3. Let v be g(6). What is the nearest to v in 4, 0.1, h? h Suppose 169*c = 333 + 1715 - 189. What is the nearest to -21 in -1, -3/4, c? -1 Let v(z) = z**2 + 2*z + 4. Let j be v(-2). Suppose 0*o + 292 = 2*b + 2*o, -b + j*o + 136 = 0. Let t be (8/b)/(3/12). What is the nearest to t in 0, -0.02, 0.3? 0.3 Let h = -6.1 - -1.1. Let x be -15*1462/(-5355) - (-6)/(-63). Which is the nearest to -7? (a) x (b) h (c) -2/9 b Let i = 299.6 - 300. Let u = -2.4 + 2.8. Which is the nearest to 2? (a) i (b) u (c) -0.9 b Let l(m) = -m**2 + 20*m + 42. Let b be l(22). Let u = -0.2 - 0.1. Let i(r) = -r**3 - 45*r**2 + 46*r + 5. Let v be i(-46). What is the nearest to 0.1 in b, u, v? u Let o = 640/7 - 92. Let z be (90/48)/(3/4). Let s = z + -2. Which is the nearest to 5/6? (a) s (b) -1 (c) o a Let x be ((-6)/(-12))/(3/48*-2). Let f be (x/(-36))/(1/(-6)). Which is the closest to -1/7? (a) f (b) 1/2 (c) 3/2 a Let g = 7354 + -7354.2. Let i = 0 + -0.1. What is the nearest to g in i, 0.5, 0.2? i Let s = -84277 - -84297. Let y = 4.4 + 0.6. What is the closest to 1 in s, y, 2, 3? 2 Let f = 602/5 + -120. Let z = -115 + 1036/9. Let n = 108.5 - 109. Which is the nearest to 0? (a) n (b) f (c) z c Let y be (55 - 47) + (-69)/(-12) + -13. Let k = -0.1 + 0.2. Which is the closest to k? (a) -1/5 (b) 2 (c) 8/15 (d) y a Let d = 0.0462 + 4.3338. Let c = d - 0.38. Suppose -l - v - 4*v - 19 = 0, 4*l - 4*v = -28. What is the nearest to -2/5 in -2/11, l, c? -2/11 Suppose 4*z - 11 = -3*p, p - 52*z = -54*z + 5. Let a = 0.5 - -1.5. What is the closest to p in 9, a, 3? a Let o = 12.17 + -0.17. Let j = o - 13. Suppose 7 = -z + 5*v, 4*z - 4*v - 1 = 3. Which is the closest to 0? (a) 4 (b) j (c) z b Let b = -4.68 - -4.48. What is the nearest to b in 0.4, 0.1, -10, 0.015? 0.015 Let m = -13102 - -13100. What is the closest to 0 in 0.4, m, 70? 0.4 Let j be (-1 - (2 - 2))*6. Let h(i) = -2*i**3 - 11*i**2 - 27. Let o be h(j). Which is the closest to -0.2? (a) o (b) 4/5 (c) 2/7 c Suppose 4*f + f + 4*u = -4, 1 = -5*f - u. Let m = -1.3101 - 0.0899. What is the closest to 0.1 in f, -5, m? f Let v be 1/((-5)/10 - -1). Let f be (0/2)/(-100 - -101). What is the nearest to 0.2 in f, -46, v, 5? f Let i = -15392/7 + 2200. Which is the nearest to 0.1? (a) -3/5 (b) 4 (c) i (d) 3 a Let y = -3033 + 3032.7. What is the closest to 0.18 in y, -2, 1? y Let n = 1/102809 + 205609/925281. Let l = -1 + 1. What is the closest to -5 in -0.4, n, l? -0.4 Let u = -3 - 2. Let z(p) = -p**2 - 8*p + 19. Let v = 14 + -24. Let g be z(v). What is the nearest to -1 in u, g, 0.2? g Let x = 865.8 - 865.8386. What is the nearest to -1/2 in -4, x, 0, -5? x Let a be (-8)/(-28) + 5/7. Let v = 1517 + -1517.5. What is the nearest to a in v, -42, 0.5? 0.5 Let h = 4546 + -4543. What is the closest to -1/3 in -5/3, 5, h? -5/3 Suppose 3*y = -2*y + 10. Suppose 5*w + 31 - 34 = 2*j, 0 = -4*w - 5*j + 9. Which is the closest to w? (a) -4 (b) -12/11 (c) y c Let t = 4591/12 - 1147/3. What is the closest to t in 0.6, -2, 1.9? 0.6 Let v = 7 + -6. Let h = 7297 - 7296.9. Let u = -3 + 5. Which is the closest to 2/5? (a) v (b) h (c) u b Let a be (1/(-6))/(2/8). Let f = -40225 - -40226. What is the nearest to -0.3 in -0.3, a, f, 4? -0.3 Let j = -0.01761 - 16.98239. Let z = 0.02 + -2.02. Which is the closest to j? (a) -5 (b) 4 (c) z a Suppose -106*w + 68*w + 202 = 164*w. Let y = 4.7 - 5. Let i = y + 0.3. Which is the nearest to w? (a) 1.4 (b) 0.3 (c) i a Let p = 201/11 - 391/22. Which is the nearest to p? (a) -0.2 (b) 22.99 (c) -0.4 a Let v = 5.595 - 5.695. Let d = 2 + -2.08. Which is the closest to 1? (a) v (b) -0.3 (c) d c Let z = -61 - -64. Suppose z*p - 8*o + 10 = -3*o, p = -2*o + 4. What is the closest to -2/5 in -1, p, 3? p Let t = -0.356 + 0.38. Let j = 0.124 - t. What is the nearest to -1/3 in 0.5, -7, j? j Let g = 398 - 398.1. What is the closest to g in -47, -0.07, -0.1? -0.1 Let q = 7.4 + -7.12. Which is the nearest to 1? (a) -4 (b) 30 (c) q c Let d(l) = l - 4. Let w be d(5). Let k = 0.0547 - -0.0453. Let v = -18 - -18. Which is the closest to v? (a) 5 (b) k (c) w b Let x = -0.1 + 1.1. Let m be 4/(-8)*(-216)/378. Which is the nearest to x? (a) 13 (b) m (c) 0 (d) -2/5 b Let n = 6.9602 - 6.8602. Let r be (-1)/(-18)*2*2. Which is the nearest to n? (a) r (b) 5 (c) -0.1 (d) -8 a Let x = -305/1494 + -3/166. Let h = -9757 - -9753. Which is the closest to 1? (a) h (b) 3/7 (c) x b Let s = 161 - 74. Let z = s - 91. Let x = 6.12 + -6. What is the closest to x in 5, 1/6, z? 1/6 Let w(z) = 3*z**2 + 182*z - 83. Let l be w(-57). Let n = l + 711. Let f = 9 + -5. What is the nearest to 3/4 in -3, n, f? n Let v = 8983/4 - 2246. What is the closest to 2 in v, -8, 4, 4/3? 4/3 Let l be ((-60)/3)/5 + 4*(-91)/98. What is the nearest to -1 in -3, 1/5, l? 1/5 Let p = -526.065 - -525. Let s = p - -0.065. Let i = 62/3 - 20. What is the closest to s in i, -0.4, -0.07? -0.4 Suppose 3986*q + 10 = 3976*q. What is the nearest to 0.03 in q, 3, -0.0
{ "pile_set_name": "DM Mathematics" }
14}. Give prob of picking 3 r. 1/204 Four letters picked without replacement from {u: 1, g: 1, d: 2, z: 2, b: 2, q: 1}. Give prob of picking 1 b, 1 u, and 2 z. 1/63 Two letters picked without replacement from sssrssrrrssssk. What is prob of picking 1 r and 1 k? 4/91 Calculate prob of picking 1 a, 1 g, and 1 i when three letters picked without replacement from giiigiagigiii. 16/143 Calculate prob of picking 2 d when two letters picked without replacement from kkdkdd. 1/5 Three letters picked without replacement from gyyyggggyggygggyggy. What is prob of picking 1 g and 2 y? 84/323 Four letters picked without replacement from nzcctczzncccnnnz. Give prob of picking 1 c and 3 z. 6/455 What is prob of picking 1 z and 2 d when three letters picked without replacement from zgddd? 3/10 What is prob of picking 2 a when two letters picked without replacement from {z: 1, a: 2, d: 1, r: 1}? 1/10 Two letters picked without replacement from jjfjfcjjjbfjn. Give prob of picking 1 n and 1 c. 1/78 What is prob of picking 1 o, 1 n, and 1 q when three letters picked without replacement from {b: 1, o: 1, q: 2, p: 1, n: 1, w: 1}? 2/35 Two letters picked without replacement from {l: 2, v: 9, x: 1, k: 1}. What is prob of picking 1 v and 1 x? 3/26 Three letters picked without replacement from kqqttqkkkqt. What is prob of picking 2 q and 1 k? 8/55 Four letters picked without replacement from hejffhje. What is prob of picking 1 h, 1 f, 1 j, and 1 e? 8/35 Two letters picked without replacement from cgazcbb. Give prob of picking 2 c. 1/21 Calculate prob of picking 1 u and 1 q when two letters picked without replacement from {u: 2, q: 3}. 3/5 Calculate prob of picking 1 f and 2 k when three letters picked without replacement from adkdkkfkxkd. 2/33 Calculate prob of picking 1 r and 1 f when two letters picked without replacement from frfcftcrefrffrfcff. 4/17 Three letters picked without replacement from {l: 2, y: 5, j: 7}. What is prob of picking 1 y and 2 l? 5/364 Calculate prob of picking 1 b and 1 t when two letters picked without replacement from gmmtb. 1/10 Three letters picked without replacement from gffggaggz. Give prob of picking 2 f and 1 a. 1/84 What is prob of picking 1 v and 1 h when two letters picked without replacement from {v: 1, w: 2, x: 7, h: 4, a: 1}? 4/105 What is prob of picking 1 b and 1 p when two letters picked without replacement from {k: 1, z: 1, p: 3, e: 1, b: 6}? 3/11 What is prob of picking 1 o and 3 e when four letters picked without replacement from {o: 3, e: 4, b: 1, w: 1, z: 5, p: 1}? 4/455 Two letters picked without replacement from qisvqbbqvqsf. What is prob of picking 2 s? 1/66 Two letters picked without replacement from {v: 7, h: 6}. What is prob of picking 2 h? 5/26 Two letters picked without replacement from iiiiiiuiiiuii. Give prob of picking 1 i and 1 u. 11/39 What is prob of picking 3 b and 1 x when four letters picked without replacement from {b: 3, x: 4}? 4/35 Two letters picked without replacement from xiatdrx. Give prob of picking 1 d and 1 i. 1/21 Two letters picked without replacement from {b: 6, v: 12, f: 1}. Give prob of picking 1 b and 1 v. 8/19 What is prob of picking 2 d when two letters picked without replacement from {l: 3, s: 1, d: 5, v: 1, b: 1}? 2/11 Calculate prob of picking 4 v when four letters picked without replacement from {v: 7}. 1 What is prob of picking 3 k and 1 x when four letters picked without replacement from {x: 2, k: 5, j: 7}? 20/1001 Calculate prob of picking 1 w, 1 i, and 1 q when three letters picked without replacement from {q: 2, i: 2, w: 1, d: 1, j: 1}. 4/35 Calculate prob of picking 1 o, 1 p, 1 c, and 1 e when four letters picked without replacement from kkkofkkffockkokkpek. 1/1292 Calculate prob of picking 1 r and 3 e when four letters picked without replacement from {s: 2, r: 4, e: 7}. 28/143 Two letters picked without replacement from vvvvkvvkvvvvv. What is prob of picking 2 k? 1/78 Three letters picked without replacement from {b: 6, r: 12}. What is prob of picking 1 b and 2 r? 33/68 Calculate prob of picking 1 j and 1 x when two letters picked without replacement from jgrabxj. 2/21 Four letters picked without replacement from vvvvvvqvvqvqvvqvvv. Give prob of picking 3 q and 1 v. 14/765 Four letters picked without replacement from {x: 1, p: 7}. Give prob of picking 4 p. 1/2 Four letters picked without replacement from {v: 3, y: 5}. What is prob of picking 3 v and 1 y? 1/14 Four letters picked without replacement from ccwcmkk. Give prob of picking 3 c and 1 w. 1/35 Two letters picked without replacement from ccvxxvcbtctecccbc. What is prob of picking 1 v and 1 e? 1/68 Two letters picked without replacement from {d: 1, p: 1, j: 3}. What is prob of picking 1 d and 1 j? 3/10 Three letters picked without replacement from oppiopbpebpoipoke. Give prob of picking 2 o and 1 e. 3/170 Four letters picked without replacement from xxhxhxxxhxxxxh. What is prob of picking 4 h? 1/1001 Two letters picked without replacement from pqqsjbl. Give prob of picking 1 p and 1 b. 1/21 Two letters picked without replacement from wbwws. What is prob of picking 1 s and 1 w? 3/10 Three letters picked without replacement from xxxxtxxxxxtxxxixx. Give prob of picking 1 i and 2 x. 91/680 Two letters picked without replacement from aadadaadddad. Give prob of picking 2 a. 5/22 What is prob of picking 2 l when two letters picked without replacement from {o: 1, y: 1, c: 1, b: 2, l: 2}? 1/21 Calculate prob of picking 1 f, 1 x, and 1 g when three letters picked without replacement from gfxxfffxf. 5/28 Two letters picked without replacement from {w: 1, b: 2, x: 1, o: 1, v: 2}. Give prob of picking 1 v and 1 b. 4/21 Calculate prob of picking 3 r and 1 e when four letters picked without replacement from reiveervreevee. 1/143 What is prob of picking 1 f and 2 a when three letters picked without replacement from {a: 2, x: 4, f: 3, j: 4, p: 1}? 3/364 Three letters picked without replacement from {p: 2, r: 1, o: 3, x: 1}. What is prob of picking 1 r and 2 p? 1/35 Two letters picked without replacement from {a: 5, b: 2, u: 3, f: 2}. Give prob of picking 1 u and 1 f. 1/11 What is prob of picking 4 x when four letters picked without replacement from {x: 5, y: 5, q: 1, s: 1}? 1/99 Two letters picked without replacement from {g: 1, w: 1, d: 1, i: 2, f: 5}. What is prob of picking 1 g and 1 f? 1/9 Calculate prob of picking 1 h, 1 b, and 1 y when three letters picked without replacement from {h: 3, l: 2, p: 4, b: 3, y: 1, d: 3}. 9/560 What is prob of picking 3 o when three letters picked without replacement from {o: 11, x: 9}? 11/76 Four letters picked without replacement from {x: 6}. What is prob of picking 4 x? 1 Three letters picked without replacement from ddcigirrgciccccgr. What is prob of picking 1 g and 2 d? 3/680 Two letters picked without replacement from {s: 2, b: 10, r: 1, p: 3, c: 2, l: 1}. What is prob of picking 1 l and 1 s? 2/171 Calculate prob of picking 1 z and 1 d when two letters picked without replacement from edzadzddrggg. 4/33 Calculate prob of picking 1 k and 1 n when two letters picked without replacement from dddddnkddddddddd. 1/120 Three letters picked without replacement from {t: 1, m: 1, c: 3, p: 3, u: 5, z: 5}. What is prob of picking 1 p, 1 m, and 1 c? 3/272 What is prob of picking 2 p when two letters picked without replacement from pvggpvpggpppppvp? 3/10 Three letters picked without replacement from tsffppp. Give prob of picking 1 p, 1 s, and 1 t. 3/35 What is prob of picking 2 f when two letters picked without replacement from {b: 4, f: 2, q: 1}? 1/21 Three letters picked without replacement from {j: 19, e: 1}. Give prob of picking 2 e and 1 j. 0 What is prob of picking 2 d and 1 a when three letters picked without replacement from {a: 7, e: 1, d: 2}? 7/120 Calculate prob of picking 2 o when two letters picked without replacement from gsosgssokssssgsgs. 1/136 Three letters picked without replacement from {k: 6, j: 1, e: 3, z: 2, s: 4}. Give prob of picking 2 s and 1 j. 3/280 What is prob of picking 2 g when two letters picked without replacement from {g: 3, q: 2, z: 2, e: 6}? 1/26 Calculate prob of picking 2 g when two letters picked without replacement from {g: 4, n: 6}. 2/15 Calculate prob of picking 3 z
{ "pile_set_name": "DM Mathematics" }
ed? 168800 Round -206.413205 to 1 dp. -206.4 Round 0.000453491231 to six dps. 0.000453 What is -403.23827 rounded to the nearest ten? -400 What is -533.85075 rounded to the nearest ten? -530 What is 0.0160742434 rounded to 6 decimal places? 0.016074 Round -0.075837317 to 2 dps. -0.08 What is -6343200 rounded to the nearest 10000? -6340000 What is 173060821.1 rounded to the nearest 1000000? 173000000 Round -0.0000420165669 to five dps. -0.00004 Round -0.001107762747 to 4 dps. -0.0011 What is 0.00696818183 rounded to five dps? 0.00697 What is 58160.799 rounded to the nearest ten thousand? 60000 Round 1193057.164 to the nearest 10. 1193060 What is 9159.455687 rounded to the nearest 100? 9200 What is -526870.006 rounded to the nearest ten? -526870 Round -0.0000087902706 to 7 dps. -0.0000088 Round 3674780965 to the nearest 1000000. 3675000000 What is -0.4665817553 rounded to 5 decimal places? -0.46658 What is 0.4114366 rounded to 4 decimal places? 0.4114 Round -19762137.1 to the nearest 1000. -19762000 Round -1491.30008 to the nearest integer. -1491 What is -847450.0369 rounded to the nearest 1000? -847000 Round 0.00001009872773 to 6 dps. 0.00001 What is 829.2260901 rounded to two decimal places? 829.23 What is -26014663.68 rounded to the nearest ten thousand? -26010000 What is -3337313.615 rounded to the nearest one million? -3000000 What is -237571.8809 rounded to the nearest one thousand? -238000 What is -3362.88172 rounded to the nearest integer? -3363 What is -0.0425686267 rounded to 3 dps? -0.043 What is -4772777.8 rounded to the nearest one hundred thousand? -4800000 Round 0.112763221 to two dps. 0.11 Round -2.56894985 to two decimal places. -2.57 What is 0.052110486 rounded to 4 dps? 0.0521 What is -0.060107786 rounded to 3 dps? -0.06 What is -77404.242 rounded to the nearest 10000? -80000 What is -0.000008791167 rounded to 7 decimal places? -0.0000088 What is 7233.0119 rounded to the nearest integer? 7233 What is 21198666 rounded to the nearest ten thousand? 21200000 Round -0.0430412332 to three dps. -0.043 Round 2.41159831 to three decimal places. 2.412 Round -0.55877376 to 4 dps. -0.5588 Round -298124.56 to the nearest 10000. -300000 What is -6.539619239 rounded to 4 decimal places? -6.5396 Round 0.0000444903781 to 5 decimal places. 0.00004 Round -0.0198045379 to six decimal places. -0.019805 What is -0.001559819136 rounded to five dps? -0.00156 Round -2645547276 to the nearest 1000000. -2646000000 Round 0.329246084 to 2 dps. 0.33 Round -22686.466474 to the nearest integer. -22686 Round -0.006991016 to 4 decimal places. -0.007 What is 0.0000038971834 rounded to 7 decimal places? 0.0000039 What is -1702.13237 rounded to the nearest ten? -1700 Round 33011.3477 to the nearest ten. 33010 What is 0.00004111011458 rounded to 5 dps? 0.00004 Round 6120230.73 to the nearest 10000. 6120000 Round -1653381.15 to the nearest 1000000. -2000000 What is -0.00000170354692 rounded to 7 dps? -0.0000017 Round 11605.285484 to the nearest 10. 11610 Round 5229847100 to the nearest 1000000. 5230000000 Round -6597265.34 to the nearest one million. -7000000 What is 0.0003126286147 rounded to 5 dps? 0.00031 Round -0.143239124 to four dps. -0.1432 What is 0.00000608295558 rounded to seven dps? 0.0000061 What is 9660.8 rounded to the nearest one hundred? 9700 Round 0.01072289915 to 6 dps. 0.010723 What is -0.00000125520659 rounded to seven dps? -0.0000013 Round 81407.425 to the nearest ten thousand. 80000 Round -4088505.7 to the nearest one hundred thousand. -4100000 What is -117991209 rounded to the nearest 100000? -118000000 Round 0.00005272382188 to seven decimal places. 0.0000527 What is 0.0000003017345589 rounded to 7 dps? 0.0000003 Round -0.0089704722 to 6 decimal places. -0.00897 Round -12701.45711 to the nearest ten. -12700 What is -0.62537205 rounded to one decimal place? -0.6 What is -3.49994633 rounded to one dp? -3.5 Round 0.0000013862804 to 7 decimal places. 0.0000014 Round -734178.51 to the nearest ten thousand. -730000 What is 2813500.7 rounded to the nearest 100000? 2800000 What is 1091188640 rounded to the nearest one hundred thousand? 1091200000 Round 0.001075942208 to 6 decimal places. 0.001076 What is 3.008660625 rounded to the nearest integer? 3 What is -2534.76194 rounded to 1 dp? -2534.8 Round 30261494000 to the nearest 1000000. 30261000000 Round 1191470119.6 to the nearest 100000. 1191500000 Round -0.48514195 to three decimal places. -0.485 What is 40.17214258 rounded to 1 dp? 40.2 Round -0.0000067249971 to 7 dps. -0.0000067 What is -6.03854621 rounded to one decimal place? -6 Round 572724933 to the nearest one million. 573000000 Round 1392441961 to the nearest ten thousand. 1392440000 What is -5060.34631 rounded to the nearest integer? -5060 Round -0.000001680449805 to seven decimal places. -0.0000017 Round -11600.26475 to the nearest 1000. -12000 What is -8457.0284 rounded to 0 decimal places? -8457 Round -1631.7711 to the nearest one thousand. -2000 Round 18.57778268 to the nearest integer. 19 Round -370643.4 to the nearest ten thousand. -370000 Round 0.0000422428432 to six decimal places. 0.000042 What is 2607802.4 rounded to the nearest 10000? 2610000 What is 295.879312 rounded to the nearest 10? 300 What is 0.0989994456 rounded to 4 dps? 0.099 Round 872981390 to the nearest one hundred thousand. 873000000 What is 126.98591956 rounded to the nearest 10? 130 Round 7522869910 to the nearest 1000000. 7523000000 What is 2757101.108 rounded to the nearest 100000? 2800000 Round -2676.9723 to the nearest 100. -2700 What is -10.65100272 rounded to two dps? -10.65 What is 14446735.14 rounded to the nearest one million? 14000000 Round -0.003220089246 to 6 decimal places. -0.00322 Round -0.0149868464 to 6 decimal places. -0.014987 Round 13303354.3 to the nearest ten thousand. 13300000 Round 101046.39 to the nearest 100. 101000 What is -0.00258025136 rounded to 4 dps? -0.0026 Round -1.142286512 to 3 dps. -1.142 What is -0.073993059 rounded to five dps? -0.07399 What is -96257.623 rounded to the nearest one hundred? -96300 What is -210159570 rounded to the nearest one million? -210000000 Round 743.128445 to zero decimal places. 743 Round -0.01356578027 to 7 dps. -0.0135658 Round 2325.593793 to zero dps. 2326 Round -0.0120543154 to 3 decimal places. -0.012 Round -4.43673345 to two decimal places. -4.44 Round 1.34359561 to 1 decimal place. 1.3 Round -0.000034962193 to six dps. -0.000035 What is -2.911001264 rounded to two dps? -2.91 Round 0.23383689 to 4 decimal places. 0.2338 What is 3.80599986 rounded to 2 dps? 3.81 What is -0.000008893275927 rounded to 7 dps? -0.0000089 What is 0.0111962765 rounded to 4 decimal places? 0.0112 Round -6121276.085 to the nearest ten thousand. -6120000 Round 93382.0299 to the nearest one thousand. 93000 What is 158452786 rounded to the nearest 10000? 158450000 Round 6.6812523 to three dps. 6.681 Round 38921.0639 to the nearest one hundred thousand. 0 Round -0.07607753277 to 6 dps. -0.076078 Round 6.17746856 to 3 dps. 6.177 What is -0.00039258563 rounded to 4 dps? -0.0004 Round 36.878386 to 0 dps. 37 Round -2299783.86 to the nearest one million. -2000000 What is -7.55275254 rounded to one dp? -7.6 Round -2.787125806 to 0 dps. -3 Round -0.0076803396 to three decimal places. -0.008 Round 1.58107512 to three decimal places. 1.581 What is 898.8255427 rounded to 1 decimal place? 898.8 Round 264.14711 to the nearest ten. 260 What is 0.0001006251319 rounded to five decimal places? 0.0001 What is 1101396.83 rounded to the nearest one thousand? 1101000 Round 1.27210749 to 4 decimal places. 1.2721 What is 13036376 rounded to the nearest 1000? 13036000 Round 45456.3292 to the nearest 10. 45460 Round 97073.56 to the nearest 100. 97100 What is -613700540.1 rounded to the nearest ten thousand? -613700000 What is -8668580.06 rounded to the nearest 100? -8668600 Round 210148650 to the nearest 1000000. 210000000 Round -8115441.6 to the nearest ten thousand. -8120000 Round 42851016 to the nearest 10000. 42850000 What is 5218415100 rounded to the nearest one million? 5218000000 What is 1333.342731 rounded to 1 decimal place? 1333.3 Round -10448.3806 to 0 dps. -10448 Round -8822.335217 to the nearest one thousand. -9000 Round -46.84147
{ "pile_set_name": "DM Mathematics" }
54 a multiple of 8? False Is 120 a multiple of 29? False Is 3237 a multiple of 14? False Does 10 divide 24830? True Is 278 a multiple of 56? False Is 22 a factor of 792? True Does 12 divide 60? True Does 22 divide 1166? True Does 93 divide 4304? False Is 264 a multiple of 12? True Is 3 a factor of 333? True Is 25 a factor of 3015? False Is 11 a factor of 11605? True Is 10661 a multiple of 20? False Is 146 even? True Is 12196 a multiple of 50? False Does 115 divide 99599? False Is 1069 a multiple of 43? False Is 10 a factor of 295? False Is 14 a factor of 19628? True Does 57 divide 725? False Is 32112 a multiple of 152? False Is 15925 a multiple of 4? False Is 15750 a multiple of 21? True Does 42 divide 1764? True Does 3 divide 24185? False Does 3 divide 45941? False Is 7763 a multiple of 74? False Does 6 divide 365? False Is 5 a factor of 8577? False Does 48 divide 1104? True Is 16 a factor of 3800? False Is 2938 even? True Is 15 a factor of 107? False Does 2 divide 1843? False Is 51776 a multiple of 15? False Does 4 divide 17406? False Does 45 divide 1350? True Is 3632 a multiple of 44? False Is 129 a factor of 31089? True Is 880 a multiple of 20? True Is 31 a factor of 895? False Does 21 divide 1388? False Is 68296 a multiple of 205? False Is 29 a factor of 506? False Does 11 divide 627? True Does 206 divide 45949? False Is 27484 a multiple of 30? False Does 14 divide 1117? False Is 3 a factor of 160? False Is 4 a factor of 317? False Is 15 a factor of 45930? True Does 10 divide 137? False Is 5220 a multiple of 116? True Is 1186 a multiple of 18? False Is 33 a factor of 8547? True Does 6 divide 237? False Is 10 a factor of 1862? False Is 45 a factor of 421? False Is 42 a multiple of 3? True Is 287 a multiple of 39? False Is 11 a factor of 4180? True Is 17871 a multiple of 161? True Is 1559 a multiple of 26? False Is 1719 a multiple of 9? True Does 15 divide 1470? True Is 31 a factor of 359? False Is 2774 a multiple of 9? False Is 14773 a multiple of 252? False Is 2141 a multiple of 7? False Does 127 divide 2921? True Is 30 a factor of 8071? False Does 25 divide 1112? False Is 10 a factor of 380? True Does 249 divide 15530? False Is 71899 a multiple of 5? False Is 55 a factor of 495? True Is 4444 a multiple of 11? True Is 147 a multiple of 21? True Is 462 a multiple of 66? True Does 4 divide 504? True Does 10 divide 3240? True Is 13 a factor of 41821? True Does 32 divide 64? True Is 2634 a multiple of 9? False Is 591 a multiple of 7? False Does 13 divide 84987? False Is 24104 a multiple of 8? True Does 5 divide 19894? False Is 4 a factor of 1021? False Is 4766 a multiple of 53? False Is 500 a multiple of 25? True Is 1288 a multiple of 22? False Does 142 divide 16756? True Is 9 a factor of 270? True Does 28 divide 14000? True Does 25 divide 150100? True Does 121 divide 173? False Does 72 divide 3181? False Is 14 a factor of 1959? False Does 13 divide 442? True Is 22 a factor of 2115? False Does 9 divide 1539? True Is 137 a factor of 32880? True Does 12 divide 1377? False Is 8845 a multiple of 29? True Is 97 a factor of 548? False Is 14 a factor of 93904? False Does 71 divide 3621? True Is 4 a factor of 157? False Does 11 divide 616? True Is 52 a factor of 47507? False Does 42 divide 13818? True Does 41 divide 503? False Is 40936 a multiple of 18? False Does 44 divide 484? True Does 12 divide 456? True Is 3523 a multiple of 35? False Does 85 divide 2465? True Does 28 divide 25536? True Is 509 a multiple of 3? False Is 616 a multiple of 14? True Is 19 a factor of 1174? False Does 10 divide 426? False Is 270 even? True Does 137 divide 2733? False Does 51 divide 24988? False Is 46 a factor of 843? False Is 837 a multiple of 12? False Is 16687 a multiple of 37? True Is 31 a factor of 167? False Is 7973 a multiple of 119? True Is 13869 a multiple of 67? True Is 132 a factor of 105996? True Is 3 a factor of 61? False Is 10 a factor of 360? True Is 43 a factor of 6407? True Does 10 divide 2858? False Is 5 a factor of 1118? False Is 10134 a multiple of 6? True Is 157 a factor of 15700? True Does 5 divide 2665? True Is 3105 a multiple of 45? True Is 11 a factor of 3036? True Is 12 a factor of 36? True Does 5 divide 150? True Is 6 a factor of 122? False Does 225 divide 61115? False Does 20 divide 228? False Is 349 a multiple of 48? False Is 26201 a multiple of 48? False Is 29 a factor of 2958? True Does 57 divide 8920? False Does 2 divide 1138? True Does 7 divide 917? True Is 84 a factor of 252? True Is 2416 a multiple of 18? False Is 11 a factor of 165? True Is 10728 a multiple of 36? True Is 3060 a multiple of 30? True Is 92 a factor of 19330? False Is 773 a multiple of 12? False Is 62458 a multiple of 167? True Is 1096 a multiple of 21? False Is 62 a factor of 31930? True Is 24 a factor of 3288? True Does 68 divide 226? False Is 3 a factor of 4189? False Is 16 a factor of 39520? True Is 122 a multiple of 6? False Is 35 a factor of 3045? True Does 12 divide 35592? True Is 344 a factor of 35432? True Is 920 a multiple of 41? False Is 701 a multiple of 9? False Does 3 divide 737? False Is 43 a factor of 996? False Does 9 divide 2075? False Is 61 a factor of 19154? True Is 82 a factor of 1394? True Is 3 a factor of 403? False Is 43 a factor of 7862? False Is 6542 a multiple of 4? False Does 27 divide 2249? False Is 10504 a multiple of 26? True Is 5102 a multiple of 24? False Is 1754 a multiple of 5? False Does 56 divide 17987? False Does 36 divide 662? False Does 133 divide 4010? False Is 13 a factor of 637? True Does 4 divide 380? True Is 834 a multiple of 44? False Does 64 divide 20947? False Does 10 divide 1878? False Is 38 a factor of 123370? False Does 66 divide 5245? False Is 138 a factor of 828? True Is 115 a factor of 116495? True Does 50 divide 14900? True Is 56 a multiple of 4? True Is 25 a factor of 4350? True Is 19932 a multiple of 33? True Is 67813 a multiple of 50? False Does 11 divide 4879? False Does 47 divide 735? False Does 23 divide 2484? True Is 35 a factor of 90591? False Does 7 divide 875? True Is 10 a factor of 2940? True Is 2 a factor of 511? False Does 3 divide 83? False Is 5350 a multiple of 84? False Is 3650 a multiple of 30? False Does 22 divide 853? False Is 11840 a multiple of 64? True Is 163 a factor of 7824? True Does 19 divide 437? True Is 2364 a multiple of 12? True Is 5 a factor of 791? False Is 360 a multiple of 60? True Is 14 a factor of 1330? True Does 5 divide 7757? False Is 8120 a multiple of 140? True Is 2356 a multiple of 31? True Does 9 divide 209? False Does 12 divide 39850? False Does 10 divide 14940? True Is 3 a factor of 212? False Does 6 divide 186? True Is 59 a factor of 1534? True Is 28898 a multiple of 50? False Is 22 a factor of 7348? True Is 39599 a multiple of 7? True Is 3 a factor of 112? False Is 429 a multiple of 11? True Is 26 a factor of 2470? True Is 2126 a multiple of 2? True Is 2610 a multiple of 18? True Is 19 a factor of 5547? False Does 22 divide 11748? True Does 17 divide 1003? True Is 7239 a multiple of 11? False Is 5 a factor of 1067? False Does 14 divide 6329? False Is 36 a multiple of 36? True Is 53 a factor of 307? False Does 226 divide 70166? False Is 1750 a multiple of 35? True Is 26 a factor of 1010? False Is 3068 a multiple of 13? True Is 15 a factor of 1410? True Is 3502 a multiple of 17? True Is 9 a factor of 6808? False Does 58 divide 81258? True Does 11 divide 1540? True Does 82 divide 82? True Does 56 divide 38330? False Is 10 a factor of 510? True Is 189 a multiple of 27? True Does 80 divide 8023? False Does 16 divide 51584? True Is 510 a multiple of 22? False Is 8 a factor of 4062? False Does 11 divide 2013? True Does 20 divide 2354? False Does 6 divide 7974? True Is 1152 a multiple of 48? True Is 408 a multiple of 12? True Is 96 a factor of 22492? False Does 20 divide 1542? False Is 79 a factor of 179? False Is 168 a factor of 3192? True Is 9665 a multiple of 38? False Is 11232 a multiple of 78? True Is 26 a factor of 27740? False Does 11 divide 1386? True Is 166 a factor of 71380? True Is 10115 a multiple of 18? False Is 172 a factor of 18038? False Does 54 divide 486? True Is 16 a multiple of 7? False Does 66 divide 3116? False Is 1554 a multiple of 14? True Is 317 a
{ "pile_set_name": "DM Mathematics" }
)/2632). Let k = v - 127. Is k a composite number? False Suppose -6*t - 823 = -5*s - 4*t, -2*s = -t - 330. Suppose 162*y - s*y = -19. Is y composite? False Suppose 15461575 = 280*j - 27814790 + 781045. Is j a prime number? True Suppose 3*x = -2*s + 9, 32*x = 31*x - 4*s + 3. Suppose 5*c = -3*h + 58551, 13*h - x*c - 39034 = 11*h. Is h a composite number? True Is (31827/4 - -14)*4 composite? False Let h(b) = 15951*b**2 + 98*b - 492. Is h(5) prime? False Let z = -67 + 73. Let w(i) = -i**2 - 3*i - 7. Let o(t) = -3*t**2 - 13*t - 29. Let p(b) = 2*o(b) - 9*w(b). Is p(z) a composite number? True Suppose 111*q = 108*q + 323967. Is q composite? True Suppose 0 = -4*p - 3*j + 559132 - 31322, -p - j + 131953 = 0. Is p a composite number? True Let a(w) be the first derivative of 10/3*w**3 + 1/4*w**4 - 11*w + 9/2*w**2 - 15. Is a(-5) prime? False Is (6300/360)/(5/71594) a prime number? False Is 6241865/6 + (12 - (-162)/(-12))/(-9) prime? True Let t(v) = v**2 - 14*v + 5. Let p be t(14). Suppose p*b + 4 - 14 = 0. Suppose b*o - 377 = 5*y, 5 = 5*y - 0*y. Is o a composite number? False Suppose 18041 = s - 94290. Is s prime? True Let s be (-2 - 0/4)*(-634)/4. Suppose 0 = -3*r - 0*r + 5*d + 299, -3*r - 4*d + s = 0. Is r a composite number? False Suppose 4*m + 4*s = -1680 - 6868, -3*s = 12. Suppose 2*h + h = -4*u + 12, 5*u - 34 = h. Is ((-8)/u)/(18/m) prime? False Suppose x - 161457 = 2*d, 4*d = -x + 12482 + 148963. Is x a composite number? False Suppose 408*d = 303*d + 81299505. Is d a prime number? False Suppose 5*j + 2*q + 37 = -43, -q = -j - 23. Is (-2930)/j - 28/(-126) a prime number? True Let q = -7282 - -3248. Let u = 10015 + q. Is u composite? False Let m(u) = 535*u + 8. Let b(c) = c**2 + 11*c - 32. Let r be b(-13). Let z be m(r). Let a = z - -7145. Is a a composite number? False Suppose 0 = 6*s - 26 + 32. Is (-72921)/(-15) - s/((-15)/6) a prime number? True Let a(z) = -569 + 8*z + 19*z + 293. Is a(35) prime? False Is 1 - -16503 - (7 - 4) a prime number? False Suppose 5*j - 2*i = -158034 + 2230285, -2*i = 3*j - 1243357. Is j a composite number? False Let v(a) be the second derivative of -a**3/2 - 10*a**2 + 20*a. Let i be v(-10). Is 1186/3 - i/30 a prime number? False Let w be 1/(36/(-42) + 1). Let u(t) = 241*t + 22. Is u(w) a composite number? False Let j = -89 - -96. Suppose -6*m + 12233 = j*m. Is m prime? True Suppose -3*c - 4*x = -97791, -4*c - 4*x = -3*x - 130375. Let j = c + -19376. Is j a composite number? False Let n be (2 + 0 + (-1197)/18)*2. Let a = 820 + n. Is a prime? True Let t(s) = s**2 + 8*s + 5. Let d be t(-4). Let w(b) = -b**3 - 2*b**2 - 10*b - 10. Let j be w(d). Suppose -3*u - 4*l = -5*u + 790, -2*l = -3*u + j. Is u prime? True Let t be 999/72 + -12 - (-1)/8. Suppose 4*j - 18*c = -17*c + 44412, 4*j - 44412 = -t*c. Is j composite? True Let h(j) be the third derivative of 109*j**6/60 + j**5/20 - 5*j**4/24 + 4*j**3/3 + 2*j**2 - 1. Is h(2) composite? True Let r(u) = -30*u - 35. Let v = -62 - -49. Let z be r(v). Suppose -5*y = -5*m + z, -4*y = 3*m - 0*y - 213. Is m a composite number? False Suppose -2*q + 2 = 0, -4*b + 50*q + 298128 = 46*q. Is b a prime number? False Let x(w) = 2329*w**3 + 5*w**2 + 45*w - 151. Is x(6) a composite number? True Suppose -6946 = -6*c + 4*c. Suppose c = -4*z + 881. Let s = 1751 + z. Is s prime? True Suppose 9*m + 6 = 12*m. Let w be -50*(8/(-10))/m. Is w/5 - -143 - -2 a prime number? True Let h(b) = 683*b + 5646. Is h(7) a prime number? True Let j be (-6 + 6)*(-1)/(-3). Suppose -t + 49 + 317 = j. Let k = t - 207. Is k a prime number? False Let u be (-6)/(-2)*(-4 + 2 + 61). Let v = 1096 - u. Is v composite? False Let j(a) be the first derivative of 317*a**4/4 - 10*a**3/3 + 5*a**2/2 - 3*a - 159. Is j(2) prime? True Let j(z) = z**2 + 67. Let t = 12 - 8. Let m be 1/4*t + -1. Is j(m) prime? True Suppose 24690531 - 172099492 = -193*i. Is i prime? False Let g = -6008 + 2417. Is (0 + (-332)/(-6))/((-126)/g) a composite number? True Let i(q) = 18*q**3 + 7*q**2 - 23*q + 8. Let f(m) = -10*m**3 - 4*m**2 + 11*m - 4. Let d(x) = -7*f(x) - 3*i(x). Is d(7) prime? True Suppose -i = 11*s - 6*s - 150060, 5*s + 4*i - 150075 = 0. Is s prime? True Suppose 4*f - 357 - 119323 = -4*l, -5*f + 149604 = l. Is f a composite number? False Suppose -9161 = -s - 0*a - 4*a, -3*a = 5*s - 45822. Suppose 919 + s = 4*h. Is h a composite number? False Let l(m) = 2126*m**2 + 163*m - 1073. Is l(7) a composite number? True Suppose 3*z = -3*i - 2*z + 8, -2*i + 22 = -5*z. Suppose 0 = -4*w + w - 2*o + i, 0 = 3*w - 5*o + 15. Suppose w = 2*h - 461 + 103. Is h a composite number? False Suppose 66*f + 128572604 = 147*f + 275*f. Is f prime? True Let u be (20/(-30))/(-2*1/(-36)). Let f = u + 15. Suppose 0 = g + 5*d - 60, f*g - d - 80 = 4*d. Is g a prime number? False Suppose -9*l + 32*l - 69 = 0. Suppose l*w = -2*f + 52618, 5*f = -0*w - 2*w + 131545. Is f prime? True Let l be 1 - (1664/(-160))/((-2)/(-5)). Let d(x) = x**3 - 15*x**2 - 27*x + 50. Is d(l) a composite number? False Let s = -214 + 196. Let g(h) = 11*h**2 + 17*h + 35. Is g(s) composite? True Let v be (-12)/(-2) + -11 + 9. Let b = -3 + v. Is 9985/20 - b/4 a prime number? True Let c = -335 - -337. Let h be 8*(45/12)/5. Is c/(h/(-15))*28/(-4) a prime number? False Let y(o) = 864*o - 245. Is y(96) composite? False Let y(l) = -l**3 + 8*l**2 - 5*l - 1. Suppose -2*s + 5*a = -5*s - 26, s - 2*a - 6 = 0. Let d be (3/(-2) - s)*(-11 + -3). Is y(d) a prime number? True Let l be (0 + -1)/((-5)/15). Let s = 5 - 3. Suppose 5*p = -4*i + 4473, 0*p - 2237 = -s*i - l*p. Is i a prime number? True Let w(x) = -x**2 + 5*x + 86. Let i be w(-7). Suppose 0 = -3*p + p. Suppose p = 5*o - i*t - 6885, 5*o - t - 2*t - 6880 = 0. Is o a composite number? True Is 20 + (-143)/13 + 679228 a composite number? True Suppose 2*l + 4*g - 2 = 3*l, 0 = -2*l - 2*g + 6. Suppose -5*h - 3*u - 287 = -2133, l*h - 5*u = 726. Let n = h - 211. Is n a prime number? True Suppose 0 = 3*s - 5*s + 3*z - 2280, 0 = -3*s + z - 3427. Is 1*(s + 4)*(-2)/2 composite? True Suppose 10*j = 3 + 27. Suppose -194 = j*l - 1631. Is l composite? False Let o(k) = -82*k - 1. Suppose 2*t + 4*s - s - 13 = 0, 17 = 3*t + 4*s. Let v be ((12/(-8))/t)/(3/(-10)). Is o(v) prime? True Let w be ((-12)/18)/2 + 286/3. Suppose 4*c + w = 9*c. Suppose v - 180 + c = 0. Is v a composite number? True Suppose -10*u - 39 = -99. Suppose -d + 4*f + u = -0*d, -5*d + f = -106. Is 23815/d - 1/2 prime? False Let n be -1 + ((-14)/(-4))/(3/6). Suppose -60 - 48 = n*b. Is (1172/12)/((-2)/b) a prime number? False Let v(b) = 56 + 26*b + 22*b - 30 - 17*b. Let h(f) = 16*f + 13. Let s(m) = -5*h(m) + 3*v(m). Is s(6) composite? True Suppose -m = 4*u - 1766, 3*m - 8773 = -2*m - u. Is m a composite number? True Is 66316 - (-1 - (-10 + 12)) a prime number? False Suppose -36*o = -37*o + 23882. Suppose -11*z + 6137 + o = 0. Is z composite? False Let u(a) = 2*a**3 - 94*a**2 - 27*a - 12. Let g(z) = -z**3 + 4*z**2 + z + 1. Let s(l) = -g(l) + u(l). Is s(34) prime? True Let h(q) = -q**3 - 3*q**2 + 6*q + 10. Let c be h(-4). Suppose -15188 = -c*u + 4106. Is u a composite number? True Let t = -1307 + 2003. Let n = t - -2245. Is n prime? False Let h(q) = -76 - 240*q + 160*q + 207*q - 62. Is h(8) a prime number? False Let z = 86284 - -115569. Is z a prime number? False Suppose -2*s + 4*t = -256, 2*s + 3*t = 255 + 29. Suppose -141*h = -s*h - 29905. Is h a prime number? True Let n(p) = -322*p + 37. Let v be n(-6). Let b = 844 + v. Is b a composite number? True Let s(i) = -55*i**3 + 24*i**2 + 4*i - 26. Is s(-13) composite? True Suppose 36371787 = 177*q - 144001656. Is q a composite number? False Let s(j) = 206*j**2 - 12*j + 11. Let a be s(7). Let z = a - 5864. Suppose 3*r = 4*q - z, 3*q = 5*r + 4134 - 1008. Is q prime? False Let m = -853 + 2803. Is m + (-1 - 2/(1 - 2)) prime? True Let j = -85 - -87. Let f be (-727 + 1 + j)*-8. Suppose -2615 - f = -7*l. Is l a prime number? True Let u = 322 + -326. Let r(g) = 7 - 86*g - 32*g - 96*g. Is r(u) composite? False Let q(d) = 9*d + 9 + 4*d**3 - 3*d**3 - 5*d**3 - d**2 + 2*d**3. Let p(g) = g**3 + 2*g**2 - 8*g - 8. Let z(y) = 5*p(y) + 4*q(y). Is z(-5) a prime number? True Suppose -4*z + 9572750 = -147*y + 152*y, 9572736 = 4*z - 2*y. Is z composite? True Let a(g) = -g**3 - 10*g**2 - 10*g - 73. Let
{ "pile_set_name": "DM Mathematics" }
/2? -27/2 Does 8620 = 8621? False Is 7 less than or equal to -0.26? False Is -233 smaller than -233? False Is 73 equal to 73? True Which is bigger: -77/10 or -7? -7 Which is bigger: -0.426 or 0? 0 Is 147 bigger than 134? True Is 0 greater than -1/103? True Which is smaller: 6939 or 6942? 6939 Which is smaller: -45 or 0? -45 Is 2/5 smaller than 377? True Which is smaller: 2555 or 7669/3? 2555 Is -15 at most -160/11? True Is 1/596 less than -1? False Which is smaller: 124 or 122? 122 Which is smaller: -45 or -51? -51 Are 0 and 9863 equal? False Is -1316 < -17094/13? True Which is greater: 15/13 or 2? 2 Is -1 less than 1/2817? True Which is bigger: 0.16 or 3.66? 3.66 Is 1 <= 3/86? False Is 3884 greater than 3883? True Is -696 at most as big as -694? True Is -286 greater than -3160/11? True Is 0.1 >= -12.7? True Which is bigger: 2/5345 or 1? 1 Which is smaller: 204 or 1016/5? 1016/5 Which is bigger: -0.2 or -0.27? -0.2 Which is greater: 128 or 127? 128 Which is greater: 1 or -1/197? 1 Which is smaller: 20 or 22? 20 Are -1170 and -1173 equal? False Which is smaller: 371/4 or 94? 371/4 Is -28 equal to -1/108? False Is 63 less than 62? False Is 1 < -2/269? False Which is smaller: -10/91 or 1? -10/91 Does 0.168 = 6/5? False Which is smaller: -1/2701 or 0? -1/2701 Is 184/59 at most as big as 2? False Which is smaller: -0.3 or 109? -0.3 Which is smaller: 0 or -8/2281? -8/2281 Which is greater: 63 or -3/79? 63 Which is bigger: 0 or -2/555? 0 Which is smaller: 0 or -7/20? -7/20 Which is bigger: -1 or 7/559? 7/559 Is 806 >= -2.1? True Is 1635 <= 1635? True Which is smaller: -311 or 1? -311 Which is smaller: -66/25 or -2? -66/25 Which is smaller: -340/63 or -4? -340/63 Which is bigger: 1.6 or -4? 1.6 Which is smaller: -1581 or -1580? -1581 Which is greater: -3/76 or 1? 1 Is 637 bigger than 640? False Is 192 greater than 171? True Which is smaller: 0 or -1/6548? -1/6548 Is 33/92 at least 0.06? True Is -33 >= -6? False Which is bigger: 4466/9 or 497? 497 Which is smaller: -5509/5 or -1103? -1103 Which is greater: -50/71 or -2? -50/71 Which is smaller: -2024/5 or -404? -2024/5 Which is smaller: 892/25 or 35? 35 Is -10 at most 0? True Which is smaller: 2 or 1.7? 1.7 Is 10 <= 1? False Is -318/313 at most 0? True Are 4556 and 4556 nonequal? False Are 38 and -180 unequal? True Which is smaller: -52/213 or 1? -52/213 Is -38 smaller than -97? False Do 1.59 and -6 have different values? True Which is greater: 1/4204 or -1? 1/4204 Which is bigger: -1119 or -1118? -1118 Is -1 smaller than 1.94? True Is 0 >= 223? False Are 0.18 and 0.3 non-equal? True Which is smaller: 9 or -70? -70 Which is greater: -171 or -173? -171 Are 4443 and 4445 non-equal? True Which is smaller: 907 or 906? 906 Is -692 bigger than -690? False Is -121 smaller than -44? True Which is greater: 0 or 18/13? 18/13 Which is smaller: 159 or 476/3? 476/3 Which is greater: -10 or 9? 9 Which is smaller: 161 or -6? -6 Which is smaller: -4795/4 or -1200? -1200 Which is smaller: 1301 or 1? 1 Which is greater: -2880/7 or -1/4? -1/4 Is -1399 greater than -1400? True Which is smaller: 17/347 or 1? 17/347 Which is greater: -25/2 or 53? 53 Is 1 bigger than 2/15? True Is 155 at least as big as 1090/7? False Is 1 <= -1/3950? False Which is bigger: -160 or -168? -160 Which is greater: 165 or 178? 178 Which is smaller: -15/38 or -1? -1 Which is smaller: 5/286 or 1? 5/286 Is 52/447 smaller than -1? False Which is bigger: -2/459 or 0? 0 Which is bigger: -11452 or -11453? -11452 Is -1314/17 greater than -78? True Are -1 and -9/266 nonequal? True Is 0 smaller than 8/249? True Which is bigger: 2/5 or 0? 2/5 Which is bigger: 1 or 13/10? 13/10 Which is greater: -0.19 or 10/31? 10/31 Do 677 and 677 have the same value? True Which is greater: 397 or 398? 398 Is 3/34 at least as big as -0.22? True Which is smaller: -44/179 or -1? -1 Is -0.01 bigger than 0? False Is 2160/17 greater than 126? True Which is greater: -80 or -77? -77 Which is smaller: 60 or -2/9? -2/9 Which is bigger: -30 or 66/5? 66/5 Which is smaller: 295 or 24? 24 Is 238 > 230? True Which is greater: -1068 or -3202/3? -3202/3 Which is greater: 1 or 585/281? 585/281 Is 0.04 bigger than -0.36? True Is 4278 at least as big as 4276? True Are -7.5 and -0.1 non-equal? True Do -54 and -48 have different values? True Which is smaller: -54 or -55? -55 Which is smaller: 4/5 or 17? 4/5 Is 263 != 266? True Which is smaller: 13/12 or 0? 0 Which is smaller: 88 or 76? 76 Does 179 = 0.04? False Which is greater: -178 or -161? -161 Which is greater: -1507 or -1504? -1504 Which is greater: 166/5 or -4? 166/5 Which is bigger: 1 or 248? 248 Which is smaller: 169 or 5? 5 Which is smaller: -1/3 or 39? -1/3 Is -335 > -333? False Which is bigger: -3/73 or 1? 1 Are 129 and 127 nonequal? True Which is smaller: 0.4 or -69? -69 Which is greater: 6977 or 34883/5? 6977 Is 229 at most -1? False Which is bigger: -1/10 or -1? -1/10 Are -2/7 and -113 equal? False Is -181 not equal to -183? True Which is bigger: 0.2 or 71? 71 Is 5 smaller than 16? True Do -266 and -7 have the same value? False Is 69/65 > 0? True Which is bigger: 5636 or 5637? 5637 Are -402 and -2808/7 unequal? True Which is greater: -1993 or -13952/7? -1993 Do 0 and 4/295 have the same value? False Is 2 greater than or equal to 280? False Is 64 <= -0.014? False Which is greater: 46 or -16? 46 Is -10/313 != 1? True Does 2 = 168/83? False Do -1/1159 and 0 have the same value? False Is 234 bigger than 234? False Is 3 bigger than -1500? True Which is bigger: -66 or -65? -65 Which is greater: -93 or -1218/13? -93 Which is smaller: 2.49 or -7/4? -7/4 Which is smaller: -5 or 366? -5 Is -24 at least -189/8? False Which is greater: -173 or -171? -171 Is 148 less than or equal to 736/5? False Which is greater: 176/9 or 20? 20 Which is smaller: -211 or -7? -211 Is 761 greater than 754? True Which is greater: 1 or -30/203? 1 Which is smaller: -26 or -278/11? -26 Is 78 > 1/31? True Which is bigger: 1 or -2/527? 1 Are -1 and -6/89 nonequal? True Is -1 > 20.2? False Which is smaller: 182 or 183? 182 Which is bigger: -914 or -913? -913 Which is greater: -25 or -0.01? -0.01 Which is bigger: 349 or 351? 351 Which is smaller: 15/8 or 25? 15/8 Which is bigger: -1408/5 or -282? -1408/5 Does 3064 = 3065? False Which is greater: -7/1545 or 0? 0 Which is smaller: 0 or -2/937? -2/937 Are 4212/5 and 843 equal? False Are -17 and 38 non-equal? True Which is smaller: 20 or 58/3? 58/3 Is -644 < -644? False Does -2 = -105? False Which is smaller: 0 or -0.57? -0.57 Which is bigger: -83 or -86? -83 Which is bigger: -29/13 or -1? -1 Which is smaller: -31 or -33? -33 Is 443 bigger than 3/4? True Is -8.24 at most 12? True Is -531 equal to -532? False Which is bigger: 10 or 105/11? 10 Is 1263 less than or equal to 1266? True Is -125 at most -127? False Is -79 >= -883/11? True Is 0 != 208.5? True Which is smaller: -2.019 or 1/3? -2.019 Do -5 and 1/3 have the same value? False Which is greater: -4507 or -4509? -4507 Which is smaller: 4647 or 4648? 4647 Is 365 at most as big as 365? True Which is smaller: -14 or -0.26? -14 Is -161 <= 3/11? True Is 837 at least -2/3? True Which is bigger: -46 or 234? 234 Are 23493 and -1 non-equal? True Is 54 != 64? True Is 1623 less than 1625? True Which is smaller: 481 or 480? 480 Which is bigger: -16 or -1? -1 Is -7938 <= 2/5? True Is -234 at most as big as 0.04? True Is 0 greater than or equal to -93? True Is 139 smaller than 139? False Is -2 at most 3/223? True Which is greater: 3/79 or -1? 3/79 Is 2 smaller than 97/168? False Which is greater: 747 or 748? 748 Is -2177 less than -2176? True Is -686 greater than or equal to -692? True Which is smaller: 14753 or 14752? 14752 Is 1 > 10/79? True Is 9807 at least as big as 9805? True Are -406 and -405 equal? False Which is smaller: -3228 or -3229? -3229 Is 353 not equal to 352? True Is 2 > 140? False Which is smaller: 2/9743 or 1? 2/9743 Which is smaller: -2/37 or 31? -2/37 Does 0.2 = -98.1? False Which is smaller: -114 or 0.1? -114 Which is smaller: 2190 or 2186? 2186 Is 151/2 < -2? False Which is smaller: 1 or 4169? 1 Which is smaller: -6489 or -1? -6489 Is 1/4 > -6416? True Is 604 <= 604? True Which is smaller: 0 or 15/244? 0 Is -1289 less than -1284? True Is -268 greater than or
{ "pile_set_name": "DM Mathematics" }
1289 a multiple of 7? False Does 16 divide 37777? False Does 29 divide 4321? True Does 41 divide 6109? True Is 7052 a multiple of 41? True Does 4 divide 388? True Is 833 a multiple of 49? True Is 21191 a multiple of 26? False Is 4473 a multiple of 10? False Is 14972 a multiple of 94? False Is 397 a factor of 54933? False Does 86 divide 59340? True Is 70 a factor of 9335? False Is 25 a factor of 56427? False Is 5426 a multiple of 62? False Is 3 a factor of 3316? False Is 33 a factor of 1650? True Is 16 a factor of 15584? True Does 123 divide 3589? False Does 59 divide 59? True Is 5037 a multiple of 23? True Is 1890 a multiple of 54? True Is 74 a factor of 40182? True Is 12 a factor of 858? False Is 161 a factor of 28479? False Is 47 a factor of 12455? True Does 13 divide 754? True Does 22 divide 1487? False Is 16 a factor of 3585? False Does 12 divide 300? True Is 22 a factor of 1210? True Does 6 divide 74263? False Does 21 divide 4494? True Is 15120 a multiple of 35? True Is 3562 a multiple of 137? True Is 28 a factor of 5946? False Is 12 a factor of 192? True Is 2568 a multiple of 24? True Does 122 divide 4148? True Is 1812 a multiple of 16? False Is 33 a factor of 1551? True Does 41 divide 3247? False Is 468 a multiple of 78? True Is 13 a factor of 10915? False Is 19691 a multiple of 61? False Is 1983 a multiple of 3? True Is 172 a multiple of 4? True Is 16 a factor of 36586? False Is 13929 a multiple of 144? False Does 208 divide 5616? True Does 165 divide 33591? False Is 48003 a multiple of 116? False Is 43549 a multiple of 37? True Does 14 divide 13454? True Is 15 a factor of 11349? False Is 784 a multiple of 49? True Is 411 a multiple of 8? False Does 105 divide 525? True Is 16 a factor of 41? False Does 36 divide 18278? False Is 6822 a multiple of 9? True Is 174 a multiple of 13? False Is 1462 a multiple of 43? True Is 665 a multiple of 25? False Is 23 a factor of 6969? True Does 12 divide 120? True Does 11 divide 1846? False Does 339 divide 107463? True Does 102 divide 6732? True Is 10099 a multiple of 54? False Is 7 a factor of 1057? True Is 20 a factor of 352? False Is 59 a factor of 11269? True Is 13 a factor of 405? False Does 3 divide 181? False Does 168 divide 7914? False Is 28 a multiple of 14? True Does 210 divide 58590? True Is 875 a multiple of 25? True Does 7 divide 1155? True Does 149 divide 3541? False Does 27 divide 10179? True Does 3 divide 1497? True Is 789 a multiple of 29? False Is 1040 a multiple of 52? True Is 8 a factor of 457? False Does 100 divide 2865? False Is 22 a factor of 26906? True Is 3080 a multiple of 10? True Is 98 a factor of 17337? False Does 16 divide 32? True Is 660 a multiple of 44? True Does 20 divide 2808? False Is 2703 a multiple of 13? False Is 43 a factor of 99569? False Does 44 divide 2772? True Does 92 divide 10872? False Does 22 divide 11833? False Does 6 divide 6312? True Does 370 divide 52540? True Is 1775 a multiple of 69? False Is 11900 a multiple of 238? True Is 280 a multiple of 40? True Does 54 divide 458? False Is 4600 a multiple of 5? True Does 13 divide 2890? False Does 14 divide 420? True Does 95 divide 465? False Does 49 divide 1862? True Is 23 a factor of 1679? True Is 25 a factor of 20325? True Is 110 a factor of 2971? False Is 32 a factor of 731? False Is 41 a factor of 4223? True Does 62 divide 2356? True Does 46 divide 552? True Does 58 divide 2558? False Does 11 divide 56588? False Is 56 a factor of 1778? False Is 4760 a multiple of 14? True Does 7 divide 41090? True Does 11 divide 1709? False Is 85 a factor of 20064? False Does 23 divide 289? False Is 55 a factor of 685? False Does 61 divide 8601? True Is 18549 a multiple of 27? True Does 4 divide 2020? True Is 10710 a multiple of 42? True Is 31 a factor of 4154? True Does 63 divide 365? False Does 18 divide 1030? False Is 3 a factor of 125? False Does 4 divide 2594? False Does 36 divide 65049? False Does 19 divide 21152? False Is 7515 a multiple of 10? False Is 1430 a multiple of 16? False Does 31 divide 1814? False Does 78 divide 2405? False Is 365 a factor of 13227? False Does 44 divide 1014? False Is 2 a factor of 107? False Does 42 divide 1932? True Is 14 a factor of 393? False Is 79 a factor of 31284? True Is 77 a factor of 25492? False Is 9 a factor of 891? True Is 804 a multiple of 12? True Is 20 a factor of 5420? True Is 189 a multiple of 2? False Is 10 a factor of 20? True Is 1450 a multiple of 50? True Does 52 divide 6557? False Is 15 a factor of 29235? True Is 26 a factor of 6855? False Is 61 a factor of 976? True Is 3455 a multiple of 14? False Is 934 a multiple of 60? False Is 28 a factor of 644? True Is 334 a multiple of 150? False Is 880 a multiple of 11? True Does 2 divide 3258? True Does 107 divide 2675? True Is 59900 a multiple of 10? True Is 47 a factor of 19834? True Does 37 divide 72193? False Does 35 divide 3148? False Is 19 a factor of 86? False Does 24 divide 3504? True Does 30 divide 34021? False Is 1080 a multiple of 30? True Is 105 a multiple of 15? True Is 210 a multiple of 10? True Is 9204 a multiple of 24? False Is 2590 a multiple of 21? False Is 48804 a multiple of 23? False Is 26 a factor of 158924? False Is 1555 a multiple of 70? False Is 311 a multiple of 20? False Is 4 a factor of 414? False Is 97 a factor of 12138? False Is 2936 a multiple of 14? False Is 59386 a multiple of 12? False Is 10 a factor of 672? False Is 5802 a multiple of 96? False Is 22010 a multiple of 62? True Is 139 a factor of 41561? True Does 54 divide 1134? True Is 129 a factor of 7835? False Is 6882 a multiple of 74? True Is 279 a multiple of 19? False Is 5000 a multiple of 100? True Does 108 divide 4968? True Is 26730 a multiple of 18? True Is 98 a factor of 2067? False Is 1502 a multiple of 43? False Is 4 a factor of 1380? True Is 91 a factor of 137? False Is 3024 a multiple of 63? True Is 590 a multiple of 59? True Does 42 divide 6804? True Is 4 a factor of 8050? False Does 6 divide 30? True Does 134 divide 3082? True Is 1345 a multiple of 12? False Is 2520 a multiple of 63? True Is 8145 a multiple of 93? False Does 20 divide 31321? False Is 44 a factor of 1804? True Is 46965 a multiple of 303? True Is 480 a multiple of 60? True Does 13 divide 554? False Is 10 a factor of 170? True Is 6641 a multiple of 105? False Is 45 a factor of 3998? False Is 55 even? False Is 656 a multiple of 15? False Is 20 a factor of 61100? True Is 7 a factor of 3238? False Is 81 a factor of 8748? True Is 59 a factor of 15517? True Is 11 a factor of 8410? False Is 42112 a multiple of 43? False Is 43250 a multiple of 125? True Is 202 a multiple of 9? False Does 33 divide 1328? False Is 63 a multiple of 9? True Is 138 a multiple of 11? False Is 230 a multiple of 5? True Is 66 a factor of 1914? True Does 20 divide 1297? False Is 436 a multiple of 3? False Is 154 a factor of 5718? False Is 16 a factor of 74? False Is 85720 a multiple of 10? True Is 11 a factor of 66? True Is 2124 a multiple of 9? True Is 14358 a multiple of 8? False Is 115 a multiple of 23? True Is 318 a multiple of 7? False Is 672 a multiple of 8? True Is 34133 a multiple of 13? False Is 29348 a multiple of 29? True Is 484 a multiple of 22? True Is 10105 a multiple of 47? True Does 21 divide 26732? False Does 278 divide 556? True Is 17 a factor of 2284? False Is 217 a factor of 8202? False Does 79 divide 1775? False Is 42 a factor of 24276? True Is 336 a multiple of 4? True Does 127 divide 8124? False Is 21 a factor of 262? False Is 3306 a multiple of 57? True Does 13 divide 53599? True Does 45 divide 82886? False Is 64804 a multiple of 72? False Is 148 a multiple of 37? True Is 2562 a multiple of 38? False Does 4 divide 1960? True Does 130 divide 48489? False Does 46 divide 276? True Is 2585 a multiple of 55? True Does 13 divide 2158? True Does 15 divide 255? True Is 27 even? False Does 23 divide 1587? True Is 96 a factor of 7104? True Does 6 divide 1686? True Is 40398 a multiple of 18? False Does 14 divide 4354? True Is 39 a multiple of 5? False Does 6 divide 59? False Does 46 divide 1426? True Is 1716 a multiple of 66? True Does 18 divide 101? False Is 954 a multiple of 30? False Is 59 a factor of 36403? True Is 20 a factor of 17280? True Is 51 a factor of 44982?
{ "pile_set_name": "DM Mathematics" }
d without replacement from zzzezeeezn. Give prob of sequence ezzz. 1/21 What is prob of sequence so when two letters picked without replacement from zssszsooooszsgz? 4/35 Three letters picked without replacement from ifrmh. What is prob of sequence fmh? 1/60 Three letters picked without replacement from dnenxgkg. What is prob of sequence gen? 1/84 Three letters picked without replacement from {z: 4, s: 1, x: 2}. What is prob of sequence xxz? 4/105 What is prob of sequence dxgd when four letters picked without replacement from xxxggdgggggdggxggdgd? 8/1615 Two letters picked without replacement from {k: 2, m: 1, f: 3, e: 2, v: 1, r: 3}. Give prob of sequence me. 1/66 Four letters picked without replacement from mdmmmmmmmdmmdmmmdmmd. Give prob of sequence mmmm. 91/323 What is prob of sequence lmq when three letters picked without replacement from qlqqqqllqqlqlmrlqqq? 11/969 Three letters picked without replacement from zczh. What is prob of sequence zhz? 1/12 Four letters picked without replacement from zxxbxzxbxxzxzxxz. What is prob of sequence xbzz? 3/364 Two letters picked without replacement from {r: 7, n: 4, j: 3}. Give prob of sequence rj. 3/26 Two letters picked without replacement from xfvvxxffvfvfffvsvf. What is prob of sequence vs? 1/51 Three letters picked without replacement from rbeppeebreeebeeery. What is prob of sequence bpy? 1/816 What is prob of sequence ph when two letters picked without replacement from {x: 4, h: 10, a: 3, p: 2}? 10/171 Two letters picked without replacement from njjvqwt. Give prob of sequence jn. 1/21 What is prob of sequence gg when two letters picked without replacement from {r: 3, z: 6, l: 5, b: 1, i: 2, g: 2}? 1/171 Two letters picked without replacement from ccbnbhknbskn. Give prob of sequence nc. 1/22 Four letters picked without replacement from ouuouuwuywowu. What is prob of sequence oowu? 9/1430 What is prob of sequence bbbw when four letters picked without replacement from bbbbww? 2/15 Three letters picked without replacement from nnuuuuupounnnunnunnw. Give prob of sequence uoo. 0 What is prob of sequence at when two letters picked without replacement from lllllzzlluallzzutul? 1/342 Calculate prob of sequence li when two letters picked without replacement from rrmlrmmrrlfiir. 2/91 What is prob of sequence au when two letters picked without replacement from atuococa? 1/28 Three letters picked without replacement from yyymbcbcbbcmb. Give prob of sequence cbb. 5/143 Calculate prob of sequence bwi when three letters picked without replacement from zwbwwzwiwwiizwbgibi. 35/1938 Two letters picked without replacement from {f: 1, n: 2, b: 1, k: 1}. What is prob of sequence fk? 1/20 What is prob of sequence bb when two letters picked without replacement from rbbbbryyy? 1/6 Two letters picked without replacement from {g: 2, s: 1, l: 2, r: 2, b: 4, u: 4}. What is prob of sequence uu? 2/35 What is prob of sequence puu when three letters picked without replacement from {z: 1, p: 5, u: 7}? 35/286 What is prob of sequence aaa when three letters picked without replacement from aaqqaqlaaqqaa? 35/286 Four letters picked without replacement from axkkex. Give prob of sequence axkk. 1/90 Two letters picked without replacement from {c: 4, p: 7}. What is prob of sequence cp? 14/55 What is prob of sequence itsi when four letters picked without replacement from {i: 9, t: 1, s: 4}? 12/1001 Four letters picked without replacement from {e: 5, i: 15}. Give prob of sequence ieee. 5/646 Two letters picked without replacement from {d: 4, a: 2, b: 6}. Give prob of sequence bd. 2/11 Calculate prob of sequence wwd when three letters picked without replacement from dwddddddw. 1/36 What is prob of sequence mxxm when four letters picked without replacement from mmmmmmmmmmmmmmxmmxmm? 1/190 Three letters picked without replacement from wwwwwwwlwwwl. What is prob of sequence llw? 1/66 Calculate prob of sequence rom when three letters picked without replacement from {z: 1, o: 3, b: 4, r: 6, m: 1}. 3/455 Four letters picked without replacement from {s: 1, w: 4, d: 2, x: 2}. Give prob of sequence xdxw. 1/189 Four letters picked without replacement from {t: 2, w: 6, b: 1, s: 1, o: 7}. Give prob of sequence owbo. 3/680 Three letters picked without replacement from {a: 4, v: 3, j: 2}. What is prob of sequence jvv? 1/42 Three letters picked without replacement from bbxbbbbxbxbxbbxbxbb. Give prob of sequence xbx. 65/969 Two letters picked without replacement from {y: 12, z: 3}. Give prob of sequence zz. 1/35 Calculate prob of sequence aly when three letters picked without replacement from {m: 1, y: 1, v: 1, a: 2, p: 1, l: 1}. 1/105 Calculate prob of sequence cc when two letters picked without replacement from {c: 4}. 1 Calculate prob of sequence cs when two letters picked without replacement from {c: 3, s: 2}. 3/10 What is prob of sequence rrqr when four letters picked without replacement from qrurrrdrrdu? 1/66 What is prob of sequence byj when three letters picked without replacement from jyjyjjyyyybbjyyjbyj? 21/646 What is prob of sequence add when three letters picked without replacement from {d: 11, a: 1}? 1/12 Four letters picked without replacement from qlqlqq. What is prob of sequence qlql? 1/15 Three letters picked without replacement from {r: 8, c: 1, s: 7, u: 4}. What is prob of sequence rur? 28/855 What is prob of sequence eehe when four letters picked without replacement from {e: 4, h: 2, q: 6}? 2/495 Calculate prob of sequence plll when four letters picked without replacement from {z: 2, p: 1, l: 11, d: 1}. 11/364 Calculate prob of sequence dddg when four letters picked without replacement from dsssdggddddd. 7/198 Calculate prob of sequence uzu when three letters picked without replacement from zuuzzzzuzzzuuz. 15/182 Two letters picked without replacement from tftxtftfsbbptft. Give prob of sequence bp. 1/105 Calculate prob of sequence pn when two letters picked without replacement from olloplpooopplpno. 1/48 Calculate prob of sequence ww when two letters picked without replacement from {d: 3, x: 2, w: 5}. 2/9 Two letters picked without replacement from nnnnpnnpn. What is prob of sequence np? 7/36 What is prob of sequence ibgr when four letters picked without replacement from iegjbgrb? 1/420 Calculate prob of sequence xrxl when four letters picked without replacement from {r: 3, l: 10, z: 1, x: 3, u: 3}. 1/646 Calculate prob of sequence ata when three letters picked without replacement from taa. 1/3 Three letters picked without replacement from {x: 10, l: 1, e: 1, t: 7}. What is prob of sequence elt? 7/5814 Calculate prob of sequence gp when two letters picked without replacement from pgggggpggggggggggg. 16/153 Calculate prob of sequence jj when two letters picked without replacement from {j: 8, c: 2}. 28/45 Calculate prob of sequence mo when two letters picked without replacement from {c: 2, m: 2, o: 1}. 1/10 Two letters picked without replacement from lllfllxoxlloollxoo. Give prob of sequence ox. 5/102 Two letters picked without replacement from {a: 1, v: 2, g: 2}. What is prob of sequence av? 1/10 Three letters picked without replacement from {r: 3, o: 1}. Give prob of sequence orr. 1/4 Calculate prob of sequence faf when three letters picked without replacement from {f: 2, a: 16}. 1/153 Three letters picked without replacement from {d: 2, k: 6, j: 2, z: 3, e: 2}. What is prob of sequence jzz? 2/455 Two letters picked without replacement from bbuccczbzz. What is prob of sequence zc? 1/10 Calculate prob of sequence ho when two letters picked without replacement from hgphogpopopoggp. 4/105 Four letters picked without replacement from oikookkikooo. Give prob of sequence kioi. 2/495 Two letters picked without replacement from igpiggiggi. What is prob of sequence gi? 2/9 Calculate prob of sequence xyx when three letters picked without replacement from yxyxxyxyyxxyyyyxxx. 9/68 Four letters picked without replacement from llljllklklllklh. What is prob of sequence lhkl? 3/364 Three letters picked without replacement from {x: 4, f: 5, r: 1}. Give prob of sequence xfx. 1/12 What is prob of sequence dsds when four letters picked without replacement from {d: 2, g: 3, s: 3}? 1/140 Three letters picked without replacement from rhh. Give prob o
{ "pile_set_name": "DM Mathematics" }
the prime factors of w. 2 Let b(j) = j**3 + 11*j**2 + 9*j - 3. Suppose 1 = -2*k - 1. Let f = -9 + k. List the prime factors of b(f). 7 Let x(a) = -20*a + 12. What are the prime factors of x(-4)? 2, 23 Suppose 4*h = a + 7, -4*a + 0*a - 5*h + 14 = 0. List the prime factors of a*5*(-85)/(-25). 17 Let i(t) = -4*t - 22. List the prime factors of i(-15). 2, 19 Suppose 5 = -q + 2*q. Suppose 0 = q*r - 3 - 7. Suppose -2 = -r*b + 8. List the prime factors of b. 5 List the prime factors of (-31*2)/(-2) - (-2 - 2). 5, 7 Let y be 3/2 - (-103)/(-2). Let u = -35 - y. List the prime factors of u. 3, 5 Suppose 105 = r + 4*r. Let i = -2 - -5. Suppose i*a = -0*a + r. What are the prime factors of a? 7 Suppose 11*b - 540 = 6*b. What are the prime factors of b? 2, 3 Let d(j) = j**3 - 5*j**2 - 5*j + 5. Let z be d(5). Let s = z - -35. What are the prime factors of s? 3, 5 Let q be 5/(5/(-2)) + 154. Suppose -4*i - 7*p + 152 = -5*p, 0 = -4*i + p + q. List the prime factors of i. 2, 19 Let j(s) = -s**3 - 7*s**2 - 6*s + 2. Let o be j(-5). Let q = o - -43. Suppose -z - 15 = -h, 5*z - q = -3*h + 3*z. List the prime factors of h. 11 Suppose 2*o + 50 = m + 4*m, 49 = 3*m - 5*o. List the prime factors of m. 2 Let b(w) = 18*w**2 - 17*w**2 - 2 + 4. What are the prime factors of b(-3)? 11 Suppose 2*h - 3 = 3. Let a(p) = p**3 - 3*p**2 + 3*p - 3. Let d be a(h). Let q = 13 - d. List the prime factors of q. 7 What are the prime factors of (-1 + 1 - -1) + 16? 17 Suppose -4*m + 62 + 14 = 0. Suppose -5 + m = w. What are the prime factors of w? 2, 7 Let d = 12 + -37. Let p = d + 48. Suppose 0 = 5*b - 22 - p. What are the prime factors of b? 3 Let n(y) = -2*y + 16. What are the prime factors of n(-7)? 2, 3, 5 Suppose 5*x = 6*x - 3. Suppose x*c = 88 + 44. List the prime factors of c. 2, 11 Suppose 3*n - 34 = u, -28 = 2*n - 5*n + 4*u. Let s(m) = -m**3 - 9*m**2 - 11*m - 6. Let j be s(-8). Suppose -j = -3*g + n. List the prime factors of g. 2, 5 Suppose -10 = 2*b, -2*w + 4*b + 18 = -64. What are the prime factors of w? 31 Suppose g - 8 - 122 = 0. What are the prime factors of g? 2, 5, 13 Suppose a - 5*a = 0. Let l(k) = k + 18. Let n be l(a). Let o = -10 + n. List the prime factors of o. 2 Suppose 4*g - 4*c - 12 = 0, 2*g = 4*g - c - 10. List the prime factors of g. 7 Suppose 14 = 10*b - 9*b. List the prime factors of b. 2, 7 List the prime factors of 1/4 - (813/(-12) + -2). 2, 5, 7 Let t be (-9)/(-12) + 2/8. Suppose -2*q = 4*w - 7*q - t, 5*q = w + 11. What are the prime factors of (-4)/8*w/(-1)? 2 Let h = 5 + -3. Suppose -95 = -5*b - 5*t, h*t = -b - 2*t + 28. List the prime factors of b. 2 Suppose -4*n - 60 = 5*q, -q + 48 = -4*n - 3*q. Let g = -3 - -2. List the prime factors of n/(0/(-1) + g). 2, 5 Let x = 76 + -16. List the prime factors of x. 2, 3, 5 Let t(a) = 14*a - 1 - 17*a - 19*a. Let q be t(-1). Let z = -12 + q. What are the prime factors of z? 3 List the prime factors of 5*(-5)/((-15)/9). 3, 5 Let z(k) = 4*k**2 - 3*k**2 - 6*k + 0*k**2 - 13. Let m be z(9). Suppose -v + f + 11 = 3*f, -4*v + m = -2*f. What are the prime factors of v? 5 Suppose 2*f = -0*v - 2*v - 10, 0 = 5*f - 5*v - 5. Let c(y) = 4*y**2 - 5*y - 4. Let a(m) = m**2. Let p(b) = f*a(b) + c(b). What are the prime factors of p(4)? 2 Let k = -17 - -21. Suppose k*r - 45 = -r. What are the prime factors of r? 3 Let u = 4 - -2. What are the prime factors of u? 2, 3 Let k = -214 + 328. List the prime factors of k. 2, 3, 19 Let a(x) be the first derivative of -x**3/3 + 7*x**2/2 - 8*x + 1. Let p be a(6). What are the prime factors of (-12)/7*(p - 5)? 2, 3 Let m be 1*(-2 - 2/2). Let r(w) = -2 + 6 + 3*w + w**2 + 0. What are the prime factors of r(m)? 2 Suppose s = -2*m + 595, -m - s + 285 + 12 = 0. What are the prime factors of m? 2, 149 Suppose h = -4*m - 0 + 10, 4*m = 8. Suppose 0 = -h*d + 18 + 16. What are the prime factors of d? 17 Let t(v) be the first derivative of -5/3*v**3 + 1/4*v**4 - 1 + 0*v**2 + 2*v. What are the prime factors of t(5)? 2 Let m(f) = 263*f**2 + 4*f - 4. List the prime factors of m(1). 263 Suppose 114 = 4*h - 38. List the prime factors of h. 2, 19 Let a = -28 - -24. Let r(h) = 4*h**2 - 4*h + h**3 - 1 + 1. List the prime factors of r(a). 2 List the prime factors of (7 - 0)*944/56. 2, 59 Suppose -7*o = -3*o. Let w be 8 + 1/(3/3). Suppose -r + w = -o. List the prime factors of r. 3 Let x = 12 + -14. Suppose -2*y - 5*r = 21, 2*y - r - 6 = 3*y. What are the prime factors of ((-24)/(-18))/(x/y)? 2 What are the prime factors of (-306)/(-8) - 18/(-24)? 3, 13 Let r(d) = d**2 + d + 21. List the prime factors of r(9). 3, 37 Let l(t) = t**3 - 5*t**2 - 4*t - 6. Let a = 7 - 1. Let i be l(a). List the prime factors of 8/(-3)*(-9)/i. 2 Suppose 5*q = 0, -2*v - 5*q = -2*q. Let w = v + 2. What are the prime factors of (2 - 2) + 4/w? 2 Let y(t) = -17*t + 1. Suppose -4*h - 3 = 1. List the prime factors of y(h). 2, 3 Let h(f) = -3*f - 3. Let c be h(-4). Let z(j) = j**3 - 6*j**2 + 6*j - 3. Let g be z(5). Suppose g*s - c = 11. What are the prime factors of s? 2, 5 Suppose -5*i = d + 8 + 1, 0 = d - i - 9. Suppose -2*p = 5*g - 58, -g + 24 = 5*p - d. List the prime factors of g. 2, 5 Let y(c) = -6*c - 43. What are the prime factors of y(-8)? 5 Suppose 2*x - 6 = l, 0 = -2*x - 0*x + 5*l + 14. Suppose -2*g = d - 157, -x*d = -4*g + 466 - 164. Suppose 0 = -5*p + g + 13. What are the prime factors of p? 2, 3 Let t be (-1)/2*-4 + 22. Suppose -t = 5*d + 11. Let i(c) = c**3 + 6*c**2 - 8*c - 2. List the prime factors of i(d). 5 List the prime factors of ((-262)/4)/((-2)/4). 131 Suppose -5*r = -9*r + 268. What are the prime factors of r? 67 Suppose -1252 = -7*s + 337. List the prime factors of s. 227 Suppose 2*t + i = -4*i + 274, 0 = 5*t - 2*i - 743. Suppose 117 = 3*z + 5*q + 12, q = 5*z - t. Suppose -k = 4*k - z. What are the prime factors of k? 2, 3 Let y(o) = -o**3 - 7*o**2 - 7*o - 2. Let j be y(-6). Suppose -n = 2*n - 3*g - 48, -5*n + 75 = -j*g. List the prime factors of n. 11 Let k(p) = -p + 23. What are the prime factors of k(13)? 2, 5 Let a(x) = 2*x**2 + 19*x - 9. Let g(p) = -3*p**2 - 29*p + 14. Let h(d) = -8*a(d) - 5*g(d). What are the prime factors of h(-5)? 2, 3 Suppose 4 = k + 1, 3*h + 3*k = 60. What are the prime factors of 1 + h + -3 + -2? 13 Let a(i) = i**3 + i**2 + i - 4. Let c be a(0). What are the prime factors of 46 - (7 - (c - -8))? 43 Suppose -4*a + 100 = a. Suppose -k = -a - 8. Suppose 5*p - 32 - k = 0. List the prime factors of p. 2, 3 Suppose 3*u + y - 20 = 4, -3*u + 4*y = -39. What are the prime factors of u? 3 Let j = 194 + -92. List the prime factors of j. 2, 3, 17 Let r(y) = -y**2 - 7*y - 5. Let c be r(-5). Suppose -3*p - c*p = -112. List the prime factors of p. 2, 7 Suppose -5*u - 5*k = -2*k + 465, -186 = 2*u - 2*k. Let i = -66 - u. List the prime factors of (45/i)/(2/12). 2, 5 Let a be (4*26)/1 - 2. Suppose 0*c + a = 6*c. What are the prime factors of c? 17 Let z(h) = -h + 5. Let l be z(6). List the prime factors of l/(-2*3/60). 2, 5 Suppose -2*l + 41 = f, f - l - l - 53 = 0. List the prime factors of f. 47 Suppose 2*r + 0 = 8. Suppose 0 = 2*z - z - 2. Suppose r*d - z*d - 8 = 0. List the prime factors of d. 2 Suppose 0*r = -3*r + 3. Let u be ((-2)/6)/(6/18). What are the prime factors of u*-7*1*r? 7 Suppose -4*p + 11*p = 203. What are the prime factors of p? 29 Suppose 0 = -0*u - 3*u + 3*t - 6, -u = 4*t - 23. Let d = u + 0. What are the prime factors of d? 3 Let k = -329 + 173. List the prime factors of (k/18)/(2/(-9)). 3, 13 List the prime factors of 8/(-84)*-7 + (-218)/(-6). 37 Suppose -5*w - 36 = 39. What are the prime factors of (w/(-6) + -3)*-22? 11 Suppose -16 - 5 = -3*j. Let i(b) = -b**3 + 8*b**2 - 8*b + 10. Let d be i(j). List the prime factors of (4 + d)*12/14. 2, 3 Let x(l) = -4*l**3 + 4*l**2 + 2*l + 7. Let g(c) = 5*c**3 - 4*c**2 - c - 8. Let v(j) = 3*g(j) + 4*x(j). What are the prime factors of v(5)? 2 Let o(k) = -8*k**3 + k**2 + 2*k + 1. Let a be o(-1). Suppose 0 = 5*z - 58 + a. Suppose z = -3*q + 4*q. What are the prime factors of q? 2, 5 Suppose 5 = 2*t - 23. Let q = -12 + t. List the prime factors of q. 2 Suppose -2*w = -3*a - 60, 2*a - 3*a = -3*w + 76. Suppose 6*o + 2*t = o + w, -4*o = -3*t - 10. What are the prime factors of o? 2 Suppose -3*t - 2 = 10. List the prime factors of t*(-1)/2 - -10. 2, 3
{ "pile_set_name": "DM Mathematics" }
4. Let o be j(3). Let n = 20 - o. Let b(t) = -t**2 - n + 7. Let l(x) = x**2. What is l(b(z))? z**4 Suppose -5*d - 18 + 3 = 0. Let u(x) = x**2 + x - 1. Let h(a) = 2*a**2 + 3*a - 3. Let v(f) = d*u(f) + h(f). Let q(m) = m. What is v(q(z))? -z**2 Let f(s) = 0*s - s**2 + 0*s. Let u(k) be the first derivative of k**3/3 - 5*k - 4. Let i(t) = 2*t**2 - 6. Let a(n) = -5*i(n) + 6*u(n). Calculate a(f(j)). -4*j**4 Let f(y) = 18*y**2. Let g(d) = -1191*d. Determine f(g(n)). 25532658*n**2 Let b(j) = -9*j - 11*j + 25*j. Let r(o) = -4*o. What is b(r(y))? -20*y Let i(u) = -14*u. Let d(g) = -8 + 2*g - 2 + 10. Determine d(i(s)). -28*s Suppose -3*g - 2 = -t, 4 = -3*g - t + 3*t. Let k(l) = 10*l + g*l - 8*l. Let x(h) = h**2. What is x(k(i))? 4*i**2 Let s(c) be the second derivative of -c**4/12 + 3*c. Let r(f) = f**2 + 2*f - 2*f. Calculate r(s(h)). h**4 Let g(j) = -3*j**2. Let d(p) = 2*p + 541. Calculate d(g(b)). -6*b**2 + 541 Let n(k) = -2*k**2. Let f(x) = -23*x + 3. What is f(n(r))? 46*r**2 + 3 Let w(p) be the first derivative of p**6/90 + 2*p**3/3 - 7. Let t(i) be the third derivative of w(i). Let x(v) = -v. Calculate t(x(n)). 4*n**2 Let s(y) = -7*y**2. Let g(b) be the first derivative of -4*b**3/3 - 2. Give g(s(t)). -196*t**4 Let g(y) = -3*y**2. Let w(j) = 2*j - 3. Let l(u) = 2*u - 4. Let c = -4 - -8. Let i(z) = c*w(z) - 3*l(z). Calculate i(g(o)). -6*o**2 Let s(d) = -20*d. Let k(b) = 94*b**2 - b. Calculate k(s(i)). 37600*i**2 + 20*i Let o(s) = -s**2. Let a(c) = -5*c**2 + 3*c - 9*c - 10*c + 3*c**2. Calculate o(a(i)). -4*i**4 - 64*i**3 - 256*i**2 Let q(b) = 10*b - 12*b + 4*b. Let x(t) = 17*t**2. Determine q(x(y)). 34*y**2 Let f(p) = -2*p. Let t(k) = 0 + 1 + k - 2*k. Suppose 1 = 5*m + 2*h, m = -h - 3*h + 11. Let o(a) = 8*a - 6. Let z(l) = m*o(l) - 6*t(l). Give z(f(j)). 4*j Let t(j) = 624*j**2. Let b(o) = -4*o. What is b(t(d))? -2496*d**2 Let o(p) = 167*p**2. Let z(s) = s. Calculate z(o(a)). 167*a**2 Let s(o) be the first derivative of 0*o + 4 + 1/2*o**2. Let f(u) = u. Give f(s(t)). t Let c(y) = 25*y - 2. Let x(u) = 4*u**2 + 2*u. Let j(p) = -13*p**2 - 7*p. Let l(n) = -2*j(n) - 7*x(n). Determine l(c(f)). -1250*f**2 + 200*f - 8 Let f(p) = -p**2 + 46. Let l(n) = -5*n**2. Calculate l(f(a)). -5*a**4 + 460*a**2 - 10580 Let h(v) = 2*v. Let m(q) = 13611*q. Calculate m(h(a)). 27222*a Let g(y) = 4*y**2. Let b(s) = 6*s + 5. Let x(r) = -9*r - 8. Let q(n) = -8*b(n) - 5*x(n). Calculate g(q(a)). 36*a**2 Let k(r) = -35*r + 21*r + 13*r. Let l(d) = 3*d - 2*d + 7*d. What is k(l(o))? -8*o Let m(q) = 4*q**2. Suppose -2*o - 8 = -22. Let l(r) = 7*r + r**2 - o*r. Give l(m(f)). 16*f**4 Let q(b) = -3*b**2. Let m(n) = 21*n - 7. Determine q(m(p)). -1323*p**2 + 882*p - 147 Let x(w) = -186*w**2. Let a(m) = 27*m. What is a(x(h))? -5022*h**2 Let i(w) = -w. Let m(d) = -4*d - 7. Let p(c) = c + 2. Let y(h) = -4*m(h) - 14*p(h). Give y(i(l)). -2*l Let l(n) be the third derivative of 5*n**4/8 - 23*n**2. Let x(w) = -2*w**2 - 5*w - 5. Let v(c) = -2*c**2 - 4*c - 4. Let o(k) = 5*v(k) - 4*x(k). Give o(l(z)). -450*z**2 Let f(j) = -j. Let r(k) be the third derivative of k**4/3 + 3*k**2. Give f(r(a)). -8*a Let r(j) = 31*j + 32*j - 102*j + 34*j. Let a(y) be the third derivative of y**4/6 + 2*y**2. Determine a(r(q)). -20*q Let i(t) = -5*t**2 + 12*t**2 - t**2 - 4*t**2. Let m(p) = -p**2 - 3*p. Give i(m(u)). 2*u**4 + 12*u**3 + 18*u**2 Let w(g) = -g. Let n(b) = 14*b**2 + 7*b. Let a(q) = q. Let u(l) = -14*a(l) + 2*n(l). Calculate u(w(v)). 28*v**2 Let w(x) = 24*x**2 + 18. Let b(r) = -r**2 - 1. Let f(m) = 36*b(m) + 2*w(m). Let l(q) = -q**2. What is l(f(n))? -144*n**4 Let f(x) = 582*x**2. Let w(i) = i**2. Calculate f(w(q)). 582*q**4 Let w(i) = 2*i**2. Let q(k) = -3728*k. What is q(w(d))? -7456*d**2 Let s(l) = -3*l. Let a be ((-13 - -1)/(-3))/2. Let t(n) = 2*n**2 - n**a - 3*n**2. Calculate s(t(m)). 6*m**2 Let b(o) = -2*o**2 - 10*o + 10. Let i(j) = -j + 1. Let w = -6 - 4. Let s(k) = w*i(k) + b(k). Let u(t) = -4*t. Calculate s(u(r)). -32*r**2 Let j(n) = n**2 - 3*n**2 + 0*n**2. Let o(c) = -6*c**3 - c. Let l be o(-1). Let u(z) = 2*z. Let k(i) = i. Let a(m) = l*k(m) - 4*u(m). Calculate a(j(v)). 2*v**2 Let f(c) = 3*c**2. Let k(j) = -870*j - 1. What is k(f(d))? -2610*d**2 - 1 Let k(n) = 5*n + 3*n**2 + 2*n**2 - n**2 + 2*n**2. Let a(m) = -m. Determine k(a(u)). 6*u**2 - 5*u Let w(g) = -6*g**2. Let j be -4 - (-7)/7 - (-14)/2. Let h(u) be the third derivative of 0 - j*u**2 + 0*u**3 + 0*u + 1/12*u**4. What is w(h(r))? -24*r**2 Let i(k) = 26*k - 5. Let w(r) = r**2. Give i(w(c)). 26*c**2 - 5 Let o(f) = -46*f - 10. Let i(m) = 2*m. Calculate o(i(r)). -92*r - 10 Suppose 5*z - 6 + 1 = 0. Let b(s) = -z + 1 + s**2 + 0. Let d(y) = -y**2. Calculate d(b(u)). -u**4 Let i(r) = r. Let y(v) be the third derivative of v**7/840 - v**5/30 + 6*v**2. Let o(u) be the third derivative of y(u). What is o(i(j))? 6*j Let f(s) = -3*s. Suppose -v + 10 = 4*v. Let p(k) = -k**v - 8*k + 8*k. What is f(p(a))? 3*a**2 Let a(j) = 2*j**2 + 5. Let l(b) = 1. Let y(d) = -a(d) + 5*l(d). Suppose 3*f + 1 = -3*q - 2, 5*q + 4*f = 0. Let s(p) = 2*p**2 - 5*p**2 + q*p**2. Give s(y(w)). 4*w**4 Let d(y) be the second derivative of y**3/6 - 9*y. Let j(v) = -6*v. Give j(d(g)). -6*g Let h(t) = -4*t**2 + 5*t + 5. Let n(r) = -6*r**2 + 7*r + 7. Let c(q) = -7*h(q) + 5*n(q). Let m(a) = 0*a + 0*a - a**2. Determine c(m(y)). -2*y**4 Let q(c) = -24*c**2. Let w(r) = -5*r**2. Let i(u) = -3*q(u) + 16*w(u). Let n(a) = -4*a. Let b(h) = -17*h. Let j(t) = -6*b(t) + 26*n(t). What is j(i(p))? 16*p**2 Let i(x) = 3*x**2. Let a(c) be the first derivative of -c**4/12 - 3*c + 3. Let s(d) be the first derivative of a(d). Give i(s(j)). 3*j**4 Let t(h) = -63 - 2*h**2 + 63. Let v(u) = -u**2. What is t(v(k))? -2*k**4 Let t(f) = 2*f. Let g(m) be the third derivative of m**4/24 - 33*m**2. Determine t(g(s)). 2*s Let m(t) = 2*t. Let v(y) = 3*y - 2*y + 45*y - 6*y. Give v(m(l)). 80*l Let t(u) = 9*u + 2. Let q(c) = 6*c**2. What is q(t(z))? 486*z**2 + 216*z + 24 Let q(i) = -22*i**2. Let b(p) = -35*p. What is b(q(o))? 770*o**2 Let k(a) be the first derivative of -2*a**3/3 + 3. Let z(f) = -4*f. Determine k(z(v)). -32*v**2 Let o(a) be the first derivative of 0*a**2 - 1/3*a**3 - 1 + 0*a. Let w(l) = -5*l. What is w(o(k))? 5*k**2 Let w(q) = -q**2. Let n(u) = u**2. Let f(i) = -6*n(i) - 7*w(i). Let a(b) be the first derivative of 5*b**3/3 + 13. Calculate f(a(l)). 25*l**4 Let j(q) = q. Let a(t) = -47*t. Calculate j(a(o)). -47*o Let z be (-3)/(2 - -4)*-10. Let b(p) = -3*p + 6*p - z*p. Let t(v) = v**2. Give b(t(c)). -2*c**2 Let n(a) = 11 + 7*a**2 - 11. Let i(y) = 2*y. Give n(i(x)). 28*x**2 Let i(s) = 2*s**2. Let f(w) = -3*w - w + 8*w + w. What is f(i(g))? 10*g**2 Let q(w) = -w. Let h(l) be the third derivative of l**6/720 - l**4/24 - l**2. Let f(j) be the second derivative of h(j). Give f(q(z)). -z Let t(n) = -2*n**2 - 816. Let q(p) = 2*p**2. Give t(q(r)). -8*r**4 - 816 Let q(i) = -44*i - 3. Let x(r) = -12*r. Give q(x(t)). 528*t - 3 Let t(h) = 9*h + 4. Let l(c) = c. Calculate l(t(b)). 9*b + 4 Let j(p) be the second derivative of -p**3/6 + 3*p. Let q(v) = 4*v**2 + v**2 - 3*v**2. Give j(q(d)). -2*d**2 Suppose 3*n - 3 = 15. Let k(m) = -6*m + 12*m - n*m + 2*m**2. Let q(x) = -2*x**2. Determine k(q(v)). 8*v**4 Let x(p) be the third derivative of -p**5/60 + p**2. Let k(g) = 35 - 18 + g**2 - 17. Determine k(x(t)). t**4 Let p(k) = 2*k - 10. Let u(a) = -1. Let r(b) = -2*p(b) + 20*u(b). Let g(f) = -7*f**2 + 22*f - 22*f + 5*f**2. Calculate g(r(j)). -32*j**2 Let z(s) = 14*s. Let h(t) = -15*t. What is z(h(o))? -210*o Let u(o) = o**2. Let v(r) = 10*r**2 - 2. Let g(z) = 19*z**2 - 5. Let x(i) = 2*g(i) - 5*v(i). What is x(u(c))? -12*c**4 Let u(o) = -7*o**2 - 2. Let i(q) = 36*q**2 + 11. Let y(s) = -2*i(s) - 11*u(s). Let d(f) = -5*f**2. What is d(y(c))? -125*c**4 Let k(y) = 4*y + 24. Let g(n) = -n. Calculate g(k(s)). -4*s - 24 Let x(h) be the third derivative of -h**5/30 - h**2. Let v(o) = 8*o. What is x(v(a))? -128*a**2 Let t(a) = 47*a**2 - 8*a. Let x(p) = p**2. Calculate x(t(o)). 2209*o**4 - 752*o**3 + 64*o**2 Let z(f) = f**2. Let h(j) = -738*j**2 - j. What is h(z(r))? -738*r**4 - r**2 Let w(q) = -3*q. Let y(g) = 5*g + 5 + 0 - 5. Calculate y(w(s)). -15*s Suppose 3*y + 0*k + 18 = -k, 16 = -5*y + 3*k. Let g(a) = -4*a**2. Let r(m) = 3*m**2. Let c(x)
{ "pile_set_name": "DM Mathematics" }