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dreds digit of 1879131? 1 What is the ten thousands digit of 21248478? 4 What is the millions digit of 5933519? 5 What is the tens digit of 56559? 5 What is the millions digit of 4216654? 4 What is the thousands digit of 3561630? 1 What is the hundred thousands digit of 5140448? 1 What is the hundreds digit of 2481351? 3 What is the millions digit of 5068368? 5 What is the hundreds digit of 233033? 0 What is the hundred thousands digit of 3200516? 2 What is the tens digit of 3176549? 4 What is the hundreds digit of 415482? 4 What is the hundred thousands digit of 3718561? 7 What is the ten millions digit of 21287362? 2 What is the hundreds digit of 431817? 8 What is the units digit of 14900314? 4 What is the units digit of 889048? 8 What is the hundreds digit of 82537? 5 What is the tens digit of 134212? 1 What is the tens digit of 500949? 4 What is the thousands digit of 1349925? 9 What is the units digit of 271277? 7 What is the hundred thousands digit of 408494? 4 What is the thousands digit of 10899389? 9 What is the thousands digit of 561890? 1 What is the tens digit of 2977756? 5 What is the ten thousands digit of 12463061? 6 What is the hundred thousands digit of 728570? 7 What is the ten thousands digit of 4756944? 5 What is the ten thousands digit of 497135? 9 What is the units digit of 653193? 3 What is the millions digit of 1427462? 1 What is the millions digit of 1101937? 1 What is the units digit of 219995? 5 What is the thousands digit of 251920? 1 What is the thousands digit of 5067813? 7 What is the tens digit of 2171796? 9 What is the hundred thousands digit of 10216340? 2 What is the thousands digit of 671218? 1 What is the hundred thousands digit of 569577? 5 What is the tens digit of 304023? 2 What is the units digit of 2215354? 4 What is the tens digit of 266439? 3 What is the thousands digit of 1205794? 5 What is the units digit of 406194? 4 What is the hundred thousands digit of 751086? 7 What is the units digit of 157933? 3 What is the thousands digit of 10879142? 9 What is the hundreds digit of 853085? 0 What is the thousands digit of 7245577? 5 What is the hundreds digit of 44235? 2 What is the hundreds digit of 15233079? 0 What is the millions digit of 1025719? 1 What is the thousands digit of 5319856? 9 What is the thousands digit of 1834939? 4 What is the thousands digit of 352720? 2 What is the ten thousands digit of 6759682? 5 What is the thousands digit of 7139002? 9 What is the ten millions digit of 19122752? 1 What is the ten thousands digit of 185494? 8 What is the ten thousands digit of 9127973? 2 What is the hundreds digit of 435343? 3 What is the hundreds digit of 294912? 9 What is the ten thousands digit of 123531? 2 What is the tens digit of 123841? 4 What is the tens digit of 220481? 8 What is the ten thousands digit of 992090? 9 What is the units digit of 90161? 1 What is the units digit of 8069029? 9 What is the units digit of 305006? 6 What is the ten thousands digit of 11189927? 8 What is the hundreds digit of 275101? 1 What is the millions digit of 4132053? 4 What is the hundreds digit of 393178? 1 What is the tens digit of 18981981? 8 What is the hundreds digit of 1319155? 1 What is the hundreds digit of 4969823? 8 What is the tens digit of 490681? 8 What is the ten thousands digit of 500149? 0 What is the units digit of 773655? 5 What is the units digit of 7163679? 9 What is the tens digit of 1511863? 6 What is the tens digit of 25890? 9 What is the tens digit of 713182? 8 What is the ten thousands digit of 25717? 2 What is the tens digit of 342823? 2 What is the thousands digit of 16909759? 9 What is the hundred thousands digit of 146908? 1 What is the units digit of 1821383? 3 What is the hundred thousands digit of 158167? 1 What is the units digit of 16861666? 6 What is the thousands digit of 664089? 4 What is the tens digit of 603255? 5 What is the thousands digit of 151010? 1 What is the hundred thousands digit of 167282? 1 What is the hundred thousands digit of 1978545? 9 What is the units digit of 1294013? 3 What is the hundreds digit of 6852562? 5 What is the tens digit of 6022219? 1 What is the tens digit of 17633675? 7 What is the units digit of 31004? 4 What is the millions digit of 5051652? 5 What is the millions digit of 7683901? 7 What is the hundreds digit of 18093503? 5 What is the tens digit of 1295130? 3 What is the hundreds digit of 4297894? 8 What is the units digit of 98430? 0 What is the tens digit of 471209? 0 What is the hundred thousands digit of 890981? 8 What is the ten millions digit of 21764953? 2 What is the hundred thousands digit of 6970698? 9 What is the tens digit of 13769? 6 What is the tens digit of 148018? 1 What is the hundred thousands digit of 453848? 4 What is the thousands digit of 763270? 3 What is the thousands digit of 5828870? 8 What is the millions digit of 6107176? 6 What is the units digit of 82274? 4 What is the units digit of 259793? 3 What is the thousands digit of 10667897? 7 What is the units digit of 35916? 6 What is the tens digit of 238883? 8 What is the hundreds digit of 1499884? 8 What is the hundred thousands digit of 20292385? 2 What is the units digit of 2137346? 6 What is the thousands digit of 18037254? 7 What is the hundreds digit of 1173285? 2 What is the thousands digit of 16192970? 2 What is the units digit of 3281457? 7 What is the tens digit of 604792? 9 What is the ten thousands digit of 3941624? 4 What is the ten thousands digit of 1089046? 8 What is the tens digit of 303356? 5 What is the hundred thousands digit of 5771899? 7 What is the millions digit of 1758398? 1 What is the hundreds digit of 336749? 7 What is the tens digit of 366554? 5 What is the units digit of 19129103? 3 What is the ten thousands digit of 735199? 3 What is the ten thousands digit of 466310? 6 What is the hundred thousands digit of 765443? 7 What is the ten thousands digit of 24695739? 9 What is the ten thousands digit of 80452? 8 What is the hundreds digit of 3146672? 6 What is the units digit of 20695400? 0 What is the thousands digit of 153494? 3 What is the hundreds digit of 2858469? 4 What is the units digit of 5214528? 8 What is the units digit of 181141? 1 What is the thousands digit of 330153? 0 What is the millions digit of 2229638? 2 What is the units digit of 810675? 5 What is the thousands digit of 1177764? 7 What is the units digit of 40805224? 4 What is the ten thousands digit of 4632120? 3 What is the hundreds digit of 4084647? 6 What is the ten thousands digit of 308744? 0 What is the ten millions digit of 29070837? 2 What is the ten thousands digit of 164243? 6 What is the tens digit of 7484115? 1 What is the hundreds digit of 1420326? 3 What is the hundreds digit of 1780538? 5 What is the ten thousands digit of 524085? 2 What is the tens digit of 1646271? 7 What is the hundred thousands digit of 410375? 4 What is the thousands digit of 1372182? 2 What is the millions digit of 1950026? 1 What is the hundreds digit of 15704285? 2 What is the thousands digit of 31870? 1 What is the hundred thousands digit of 1315522? 3 What is the ten thousands digit of 6446320? 4 What is the hundreds digit of 19498198? 1 What is the millions digit of 6337722? 6 What is the units digit of 1354388? 8 What is the tens digit of 133728? 2 What is the thousands digit of 2646966? 6 What is the thousands digit of 2960817? 0 What is the thousands digit of 2305920? 5 What is the ten millions digit of 29539857? 2 What is the tens digit of 2664335? 3 What is the thousands digit of 149935? 9 What is the units digit of 3394671? 1 What is the ten thousands digit of 852345? 5 What is the hundreds digit of 3781123? 1 What is the ten thousands digit of 1603868? 0 What is the hundred thousands digit of 3702774? 7 What is the units digit of 6704558? 8 What is the ten millions digit of 10454349? 1 What is the units digit of 419263? 3 What is the ten thousands digit of 4299213? 9 What is the hundred thousands digit of 1264323? 2 What is the ten thousands digit of 214652? 1 What is the thousands digit of 621568? 1 What is the hundreds digit of 753862? 8 What is the tens digit of 331286? 8 What is the thousands digit of 4081611? 1 What is the ten thousands digit of 18366
{ "pile_set_name": "DM Mathematics" }
unded to 3 decimal places? -0.01 Let t = 144 - 148.376. Let o = 0.144 - t. Round o to 0 dps. 5 Let d = 21592 + 41768. What is d rounded to the nearest one thousand? 63000 Let r = 19.7 + -3.9. Let k = 15.711 - r. Let o = 0.08 + k. What is o rounded to two decimal places? -0.01 Let x(r) = 3*r**2 - 7*r + 8. Let j be x(1). Suppose 2*c - 5*p = -95, 6*p - j*p + 10 = 0. Let l be c/((-18596)/6200 + 3). Round l to the nearest 10000. -90000 Let o = -6.53 + 7.36. Let r = -8.51 - o. What is r rounded to zero decimal places? -9 Let k = -94 - -76. Let q = k + 18.079. Let a = q + -1.989. What is a rounded to 1 dp? -1.9 Let a(o) = 240*o - 1175. Let t be a(-32). Round t to the nearest one thousand. -9000 Let r = -12999110375.59999983 - -12999109442.6. Let q = r - -933. Round q to seven decimal places. 0.0000002 Let b = -59193064 - -59193953.99217. Let j = b + -890. What is j rounded to four dps? -0.0078 Let a = -9988174.49639 - -9981931.53. Let h = 6243 + a. Round h to three dps. 0.034 Let t = 74 + -136. Let r = -66 - t. Let j = 3.4 - r. Round j to the nearest integer. 7 Suppose -8*l = -2*l - 162. Let k = l - 24. Suppose -5*j + 4588 = -k*q, 0 = -2*j - 2*q - 3*q + 1860. Round j to the nearest 100. 900 Let j = 29558.999967439 - 29559. Round j to six decimal places. -0.000033 Let z = -10842126.098797 + 10842170. Let q = 43.9 - z. What is q rounded to four decimal places? -0.0012 Let y = 12.84894633 - 12.849. What is y rounded to six dps? -0.000054 Let l = 1.7072 - 1.951. Let i = l + 0.0454. Round i to two dps. -0.2 Let x = 0.543 - 30.243. Let s = x + 29.700000376. What is s rounded to 7 dps? 0.0000004 Suppose 2*c - 4*a - 23276 = 0, -5*a = 4*c - 0*a - 46565. Suppose -6*k + 5*k = m + c, 0 = -2*k - 5*m - 23265. Let o = 33045 + k. Round o to the nearest 1000. 21000 Suppose -8*p - 159 = -623. Suppose -p*g = -62*g - 3600. Round g to the nearest ten thousand. 0 Suppose 2*p - 6*p - 8 = 0, p = -5*c + 4558. Let u = c - 143. What is u rounded to the nearest one hundred? 800 Let v = -90 + 229.7. Let l = -34.9 + v. Round l to the nearest 10. 100 Let z = 22916.9897 - 22916. What is z rounded to one decimal place? 1 Let p = -118345.965 - -118675. Let k = -0.035 + p. Let s = -328.999999583 + k. Round s to seven decimal places. 0.0000004 Let t = -13772.126 + 13757. Round t to 1 decimal place. -15.1 Let y = -0.834 + 5.734. Let n = 62.79728 - 57.897. Let q = n - y. What is q rounded to 4 decimal places? 0.0003 Suppose 5*s = 5*n - 25599970, -5*n - s - s + 25599991 = 0. Suppose -5*f - 5119995 = -2*y - 10*f, -3*f + n = 2*y. Round y to the nearest one million. 3000000 Let h = -10.8557 + 2.8955. Round h to one dp. -8 Let t = 4.8 - 0.8. Let y = 492.5 - 496.5205. Let s = t + y. What is s rounded to three decimal places? -0.021 Let b = -1685.128 + 1250.6. Let h = 433 + b. Round h to one decimal place. -1.5 Let l = 0.0868218 - 0.08989. Round l to four dps. -0.0031 Let x = -14943.149833 - -14946.35. Let h = -0.1 + 3.3. Let d = h - x. What is d rounded to five dps? -0.00017 Let g = -0.045469 + 557.435469. Round g to the nearest 100. 600 Suppose 0 = -i - 4*i - x + 20571499, -i + 4114299 = x. Round i to the nearest 10000. 4110000 Let p = 20.541 - 0.041. Let z = -34.2 - p. Round z to the nearest 10. -50 Let f(s) = 6*s**3 - 13*s**2 - 36*s - 25. Let y be ((-5)/2)/(25/250). Let o be f(y). Round o to the nearest one thousand. -101000 Let g = 616.2 + -554. Let x = -243 + 312. Let d = g - x. Round d to the nearest integer. -7 Let d = 0.0298861 + -0.013203. What is d rounded to four decimal places? 0.0167 Let f = -125 + 141. Suppose f*g = 800023 + 1972777. What is g rounded to the nearest 10000? 170000 Let j = -0.032 + 0.442. Let k = j - 0.73. Let t = k + 0.317. What is t rounded to 3 decimal places? -0.003 Let h = 2.0248 - -36.5752. Let l = 3.160974 - -35.437396. Let k = h - l. What is k rounded to 4 decimal places? 0.0016 Let c = -405.66 + 404. Let v = 13.39 + -11.649. Let q = v + c. What is q rounded to 2 decimal places? 0.08 Let h = 55 + -37. Suppose -q + t = -h, -4*t + 0 - 12 = 0. Let y be q - (-3 + (2 - 2)/1). What is y rounded to zero dps? 18 Let x = -2706 + -799. Round x to the nearest 10. -3510 Suppose -356 = -11*l - 18726. Let b be l*(-9 + -21)*100/(-3). What is b rounded to the nearest one million? -2000000 Let t = 43 - 144. Let h = -72.8 - t. Round h to 0 decimal places. 28 Let d = -10.3568 - -10.35765211. What is d rounded to 4 dps? 0.0009 Suppose 5*x - 14 = -2*x. Suppose 0 = 2*w - 4*h + 2*h, -2*h = 5*w. Suppose w = -y + x*y - 920. What is y rounded to the nearest one hundred? 900 Let t = -15 - -10.6. Let l = 4.483 + t. Let b = l - -0.054. What is b rounded to one decimal place? 0.1 Let v = 0.266 - 0.2445. Let s = -0.021498654 + v. Round s to 7 dps. 0.0000013 Let z = 275.01 - 258.9. Round z to one decimal place. 16.1 Let t = -0.89 - -0.1. Let f = t + 0.789949. Round f to five decimal places. -0.00005 Let n = 99.78 + 1.22. Let j = n - 101.000000027. What is j rounded to seven decimal places? 0 Let z = 5729.07465 - 6015.076. Let b = z + 286. What is b rounded to five decimal places? -0.00135 Suppose -37*d - 501564000 = 131*d - 21*d. Round d to the nearest 100000. -3400000 Let q = 165 + -105. Let y = -11073 + 11133.048. Let d = q - y. Round d to two dps. -0.05 Suppose -8542 = -7*r - 548. Let i = r - 141. Let j = -695 + i. What is j rounded to the nearest 10? 310 Let c = -8.406 - 0.814. Let v = c + 9.219999611. What is v rounded to seven decimal places? -0.0000004 Let x = -34 + 32.9. Let p = 61.1 + x. Let y = p - 59.99884. Round y to 4 dps. 0.0012 Let b = 505.1 - -166.9. Let y = b - 588.8. Let u = y - 83.199649. Round u to five decimal places. 0.00035 Let n = -82.79 - -83.56. What is n rounded to one dp? 0.8 Let u = 16602864 - 16603253.99988. Let x = -390 - u. Round x to five decimal places. -0.00012 Let u = -1.3232 + 1.3231977018. Round u to six decimal places. -0.000002 Let h = -237.11 + -2189.29. What is h rounded to the nearest 1000? -2000 Let r = -0.096 - -0.228. Let f = -1.541 + 5.139. Let a = f + r. Round a to 1 dp. 3.7 Let c be 2 + 2 - (-505350)/18. Suppose -2*p = -a + 18198, 4*a - 3*p + c = 100876. Round a to the nearest 10000. 20000 Let l = -8287.22 - -8670. Round l to the nearest one hundred. 400 Let j = -0.05346 + 2753.05346. Let n = j + -2755.157. What is n rounded to one dp? -2.2 Let s = -429.32 + 429.319242. Round s to three dps. -0.001 Let h be (-272861)/(63/(-15) - -4). Suppose -365695 = 2*o + h. Round o to the nearest 100000. -900000 Let s = 41 + -41.083. Let f = 0.08300623 + s. What is f rounded to 6 decimal places? 0.000006 Let b(c) = c**2 - 10*c - 35. Let q be b(13). Let a(i) = 2*i. Let w be a(2). Suppose -k - q*z + 167996 = 3*k, -41996 = -k - w*z. Round k to the nearest 10000. 40000 Let t be (20/(-8))/(36/202680). Round t to the nearest one thousand. -14000 Suppose 27 = 4*w - 3*c, -4*w + 0*w = -5*c - 37. Let x be (-785)/(-10)*98*w. Let a = 89079 - x. Round a to the nearest 10000. 70000 Let p = 55.98 - 57. Let j = p - -1.020079. What is j rounded to five decimal places? 0.00008 Let a = -355.7512 + -275.1762. Let l = 631 + a. Round l to 2 decimal places. 0.07 Suppose -6*c = -13 - 11. Suppose 0 = -s - 3*l - 679, c*s - 9*l + 2665 = -4*l. What is s rounded to the nearest one thousand? -1000 Let u = -12.4374 - -83.3959. Let b = -71 + u. Let r = -0.0415303 - b. Round r to 6 decimal places. -0.00003 Let w = 6.76 + -6.363. Let u = w - -0.935. Round u to 1 dp. 1.3 Let g be 6/42*1754553 + 3/(-7). Suppose 2*s - g = -13*s. What is s rounded to the nearest one thousand? 17000 Let d = -0.34 - -0.44. Let r = d - -73.9. Let g = -73.838 + r. What is g rounded to 2 decimal places? 0.16 Let t = 6.019 + 326.631. Let k = t - 335. What is k rounded to 1 dp? -2.4 Suppose -1173973 = -3673*d + 3672*d + 21927. What is d rounded to the nearest ten thousand? 1200000 Let f(d) = -20*d**2 - 137*d + 171. Let a be f(-40). What is a rounded to the nearest one hundred? -26300 Let o = 459433.181 + -459003. Let c = -430 + o. Round c to 1 dp. 0.2 Let f = 365.008 - 17.222. Let t = 349 - f. Let p = t - 0.79. What is p rounded to two dps? 0.42 Suppose -3*m = -4*z + 4, 3*z = z - 3*m + 20. Suppose 0 = c + 2*c, 4*c = -z*n - 620000. What is n rounded to the nearest 10000? -160000 Let j = -225 + 236. Suppose j*m
{ "pile_set_name": "DM Mathematics" }
onvert 95610.94 millimeters to meters. 95.61094 What is 48/5 of a microgram in nanograms? 9600 What is 11/4 of a litre in millilitres? 2750 Convert 2035.789mm to kilometers. 0.002035789 How many millilitres are there in fourty-three halves of a litre? 21500 How many minutes are there in fourteeen ninths of a day? 2240 How many grams are there in 551806.1kg? 551806100 What is 12/25 of a millennium in years? 480 How many millennia are there in 20186.44 decades? 201.8644 Convert 13916.44 kilometers to nanometers. 13916440000000000 Convert 4277.342ng to milligrams. 0.004277342 How many micrograms are there in 6/25 of a milligram? 240 How many nanograms are there in one quarter of a microgram? 250 What is 25/2 of a kilogram in grams? 12500 How many kilometers are there in 892328.2um? 0.0008923282 What is 1/5 of a milligram in micrograms? 200 What is 53926.19 centuries in years? 5392619 What is 3/10 of a milligram in micrograms? 300 Convert 84.4257ml to litres. 0.0844257 Convert 3.989977 millilitres to litres. 0.003989977 How many kilograms are there in 9805.591 tonnes? 9805591 How many millilitres are there in 3647.425 litres? 3647425 Convert 0.6235027 milliseconds to seconds. 0.0006235027 What is eleven halves of a decade in months? 660 Convert 827153.7ml to litres. 827.1537 What is one fifth of a microgram in nanograms? 200 What is six fifths of a minute in milliseconds? 72000 How many hours are there in 551365.4 days? 13232769.6 Convert 97193.24cm to meters. 971.9324 What is 6/5 of a litre in millilitres? 1200 Convert 160.0199118ms to weeks. 0.0000002645831875 What is 5/8 of a litre in millilitres? 625 Convert 76.70753 litres to millilitres. 76707.53 What is 8650.118ng in milligrams? 0.008650118 What is 22731.81 decades in millennia? 227.3181 How many months are there in seventeen quarters of a century? 5100 What is 43/4 of a microgram in nanograms? 10750 What is 3177.196 microseconds in milliseconds? 3.177196 How many centuries are there in 1.4371419 months? 0.00119761825 Convert 4.734024um to millimeters. 0.004734024 What is 76.39309l in millilitres? 76393.09 How many millilitres are there in 7/2 of a litre? 3500 How many kilograms are there in 723.4658 grams? 0.7234658 Convert 45.8276 weeks to seconds. 27716532.48 Convert 191.5752 nanograms to micrograms. 0.1915752 How many grams are there in fourty-two fifths of a kilogram? 8400 How many millilitres are there in 3/8 of a litre? 375 What is 109.246 days in nanoseconds? 9438854400000000 What is 7/2 of a litre in millilitres? 3500 What is 6/5 of a gram in milligrams? 1200 How many nanograms are there in 0.608172 grams? 608172000 What is 83.93348 decades in months? 10072.0176 What is 0.523478 hours in seconds? 1884.5208 Convert 0.9725065 microseconds to seconds. 0.0000009725065 What is 28.78165l in millilitres? 28781.65 Convert 97.24881 millennia to years. 97248.81 Convert 41.2509 years to decades. 4.12509 Convert 3962.907um to millimeters. 3.962907 Convert 19447.89 hours to seconds. 70012404 What is 0.0694001ml in litres? 0.0000694001 What is seventeen tenths of a century in months? 2040 How many decades are there in 342.1246 millennia? 34212.46 How many micrometers are there in three fifths of a millimeter? 600 What is 89075.12t in grams? 89075120000 What is 402.1199ml in litres? 0.4021199 Convert 74764.8 hours to seconds. 269153280 How many millilitres are there in fifty-seven fifths of a litre? 11400 How many nanograms are there in 6/25 of a microgram? 240 How many millilitres are there in 42/5 of a litre? 8400 How many milligrams are there in 7/2 of a gram? 3500 How many litres are there in 78.44104 millilitres? 0.07844104 What is 564779.5t in micrograms? 564779500000000000 What is 5.090366 litres in millilitres? 5090.366 Convert 303373.6 centuries to millennia. 30337.36 What is 12/25 of a century in months? 576 What is 7/4 of a litre in millilitres? 1750 Convert 7.160348 centuries to decades. 71.60348 What is 43/3 of a day in hours? 344 How many nanoseconds are there in 7/8 of a microsecond? 875 What is one twentieth of a tonne in kilograms? 50 Convert 2.24176 weeks to minutes. 22596.9408 Convert 8323.11 years to centuries. 83.2311 How many litres are there in 0.4173201 millilitres? 0.0004173201 How many decades are there in 3/5 of a century? 6 Convert 18.8584 nanometers to meters. 0.0000000188584 Convert 19404.02 tonnes to micrograms. 19404020000000000 How many millilitres are there in 45/8 of a litre? 5625 How many milligrams are there in 45/4 of a gram? 11250 How many milligrams are there in 6/25 of a gram? 240 What is 21/2 of a gram in milligrams? 10500 How many months are there in three fifths of a millennium? 7200 Convert 451.8444 decades to years. 4518.444 How many years are there in seven quarters of a millennium? 1750 How many micrograms are there in 2817.19kg? 2817190000000 What is 5/4 of a day in minutes? 1800 How many nanograms are there in 49/4 of a microgram? 12250 How many months are there in 7/6 of a year? 14 Convert 0.5324997 weeks to nanoseconds. 322055818560000 What is seventy-one fifths of a litre in millilitres? 14200 How many millimeters are there in 80.3778 meters? 80377.8 Convert 1.552917 years to millennia. 0.001552917 How many milligrams are there in 7/8 of a gram? 875 What is 32.14757 milliseconds in microseconds? 32147.57 How many milligrams are there in eleven quarters of a gram? 2750 What is 0.3581903 micrometers in millimeters? 0.0003581903 Convert 10520.45 centimeters to micrometers. 105204500 How many years are there in thirty-three fifths of a millennium? 6600 How many decades are there in 1024417.8 months? 8536.815 Convert 98.44727kg to grams. 98447.27 What is 3/40 of a micrometer in nanometers? 75 What is 25/2 of a litre in millilitres? 12500 How many micrograms are there in 6746.926 nanograms? 6.746926 How many millimeters are there in 3/40 of a kilometer? 75000 How many meters are there in 9.839498 micrometers? 0.000009839498 Convert 402163.9 years to millennia. 402.1639 How many millilitres are there in 6/5 of a litre? 1200 What is 9.141734l in millilitres? 9141.734 Convert 624934.17 seconds to days. 7.233034375 How many months are there in 3/40 of a century? 90 What is seventy-five halves of a microgram in nanograms? 37500 What is 42.2 hours in seconds? 151920 What is 67/5 of a day in minutes? 19296 How many milligrams are there in 49048.33ug? 49.04833 Convert 0.7829979 decades to months. 93.959748 How many centuries are there in 950837.3 millennia? 9508373 How many litres are there in 0.3043781 millilitres? 0.0003043781 How many minutes are there in 1/10 of a week? 1008 What is 804.5256 millilitres in litres? 0.8045256 How many months are there in 53950.72 millennia? 647408640 How many millimeters are there in twenty-nine fifths of a meter? 5800 What is one twentieth of a kilometer in centimeters? 5000 What is sixty-one halves of a microsecond in nanoseconds? 30500 What is 76577.73l in millilitres? 76577730 How many centimeters are there in nine tenths of a meter? 90 What is 3/8 of a kilometer in centimeters? 37500 What is one twentieth of a litre in millilitres? 50 What is 813.14t in kilograms? 813140 What is five quarters of a tonne in kilograms? 1250 How many milligrams are there in fifty-three quarters of a gram? 13250 What is 15/4 of a gram in milligrams? 3750 What is fourty-three quarters of a meter in centimeters? 1075 What is 13/5 of a litre in millilitres? 2600 How many millilitres are there in 92287.1l? 92287100 What is twenty-seven fifths of a litre in millilitres? 5400 How many hours are there in 21/2 of a day? 252 How many millilitres are there in 5217.797 litres? 5217797 What is 43/4 of a milligram in micrograms? 10750 How many millimeters are there in one quarter of a meter? 250 Convert 297660.2 years to decades. 29766.02 How many centimeters are there in 69/2 of a meter? 3450 What is fifteen quarters of a microgram in nanograms? 3750 What is 99823.36 decades in millennia? 998.2336 What is seven halves of a milligram in micrograms? 3500 How many seconds are there in 17589.74 nanoseconds? 0.00001758974 How many millilitres are there in 18/5 of a litre? 3600 What is 793290.2us in nanoseconds? 793290200 How many micrograms are there
{ "pile_set_name": "DM Mathematics" }
/70)/((-14)/(-70))? -3/7 What is the value of (3/(-24))/(3/(-4))? 1/6 Evaluate (-30)/(-12)*(-8)/5. -4 What is the value of (6/28)/(6/(-4))? -1/7 What is the value of 2*5/(-5)*2/10? -2/5 12/21*-9*(-35)/30 6 Evaluate ((0/11)/(-1))/1. 0 Evaluate ((-1)/10)/((-16)/(1920/12)). 1 What is the value of ((-67)/(-201))/(2/(-36))? -6 What is the value of (4/(-24))/(1/(-8))? 4/3 Calculate (5/25)/((-1)/5). -1 What is the value of (-24)/(-112)*(-2)/(-3)? 1/7 What is 2*(105/14)/5? 3 Evaluate -18*(-5)/40*(-20)/(-15). 3 What is the value of ((-70)/35)/(2*2)? -1/2 Evaluate 24/162*-15*6/(-16). 5/6 What is (-8)/(-2)*(-4)/8? -2 (2/14)/(32/(-168)) -3/4 Evaluate ((-15)/3)/(-90)*-3. -1/6 What is (18/12)/(6/16)? 4 Calculate 2/18*(-21)/7. -1/3 Evaluate (-61)/(-427)*7/(-2). -1/2 Calculate 5/(-26)*8/10. -2/13 Calculate ((-23)/(-368)*-8)/(38/(-8)). 2/19 What is 6/20*-2*(-2)/6? 1/5 Calculate (-3)/(12/((-108)/45)). 3/5 Calculate (9/(-15))/((-3)/(-2))*5. -2 What is the value of 2/(-4)*3/3*0? 0 ((-1)/6)/(((-68)/(-24))/17) -1 Evaluate ((6/(-3))/(-4))/(5/(-70)). -7 What is ((-4)/36*3)/(1/6)? -2 Evaluate ((-243)/108)/((-6)/(-8)). -3 Evaluate (((-132)/70)/(-11))/((-4)/(-10)). 3/7 What is 2*(18/(-4))/(-9)? 1 Calculate (((-7)/12)/7)/(9/(-27)). 1/4 What is ((-30)/(-60))/((-1)/(-12))? 6 3/(-22)*(-144)/108 2/11 (17/306)/((-4)/(12/1)) -1/6 What is (3*(-2)/20)/((-18)/10)? 1/6 Calculate 0/2*(-2)/20*5. 0 ((-4)/12)/(16*5/90) -3/8 What is the value of (1*(-6)/(-21))/(32/1120)? 10 What is ((-3)/(-12)*-4)/((-1)/2)? 2 What is ((-7)/((-343)/(-28)))/(1/7)? -4 -54*(-8)/96*4/6 3 Calculate -3*((-160)/(-12))/(-8). 5 What is ((-1)/(4/4))/(2/2)? -1 Calculate (24/(-168))/((-1)/(-7)). -1 Evaluate ((-4)/(-3))/((-12)/(-18)). 2 Calculate (((-72)/16)/(-9))/(1/(-4)). -2 Calculate ((-27)/45)/((-2)/(-10)). -3 4*(4/42)/((-6)/9) -4/7 What is the value of 4/8*(-8)/6? -2/3 What is the value of (6/5)/(9/(-6))? -4/5 Calculate (-20)/(-525)*(-20)/(-8)*-3. -2/7 What is ((-410)/246)/((-3)/3)? 5/3 Evaluate (2/(-3))/((-28)/(-42)). -1 Calculate (4/(-20)*-1)/(-1). -1/5 Calculate ((-15)/20)/(4/16). -3 (52/26)/(8/3) 3/4 ((-67)/(-268))/((-10)/48) -6/5 What is the value of 6/(-24)*1/((-11)/(-4))? -1/11 Calculate (-5)/(25/(-5))*3/12. 1/4 What is 35/(-14)*3/(-60)*4? 1/2 What is the value of ((-8)/6)/(76/(-54)*-9)? -2/19 Calculate 1*3/(9/15). 5 Evaluate 0/(3/(-1))*15/30. 0 ((-6)/18)/(4/3) -1/4 Evaluate 1/(-5)*(-125)/(-50). -1/2 What is -3*4/(-4)*2/(-2)? -3 Calculate (16/(-40))/(5/(-125)). 10 (2/6)/((-1)/(-6)) 2 Evaluate (2/3)/(11/(143/39)). 2/9 Evaluate (2/(-7))/((-30)/70). 2/3 Calculate -6*(4/(-6))/(16/(-12)). -3 Evaluate (((-120)/(-8))/5)/((-6)/(-16)). 8 Calculate (1/((-8)/(-10)))/(26/(-104)). -5 What is 20/4*(9/(-45))/(-1)? 1 1/(-38)*16/(-56)*-14 -2/19 What is -1*3*288/108? -8 What is the value of ((-5)/(45/(-12)))/(2/(-3))? -2 Evaluate (1/(-2))/(77/66). -3/7 What is the value of ((-7)/28)/((-5)/(-4))? -1/5 What is ((2/1)/2)/(2/6)? 3 Evaluate 1/10*-2*4/(-1). 4/5 Evaluate (-25)/55*(-6)/(-15). -2/11 What is the value of 12/16*(-24)/45? -2/5 What is the value of ((-6)/(-27))/(1/36*-4)? -2 What is (-6)/(12/(-64)*4)? 8 What is (6/(-9))/(((-280)/(-21))/8)? -2/5 What is (-32)/18*450/(-100)? 8 What is the value of ((-3)/15)/(((-91)/(-65))/7)? -1 1*3*(-8)/24*3 -3 ((-18)/432*-6)/(6/8) 1/3 4/((-3)/(-3)*-1)*-1 4 What is 1/1*(-42)/(-357)? 2/17 What is the value of 2/((-264)/(-990)*-20*1)? -3/8 What is the value of 1*2/(4/6)? 3 (-8)/((-56)/21)*4/(-8) -3/2 What is the value of (-172)/645*3/(-4)? 1/5 Evaluate ((-264)/(-28))/(-11)*(-7)/2. 3 ((-4)/(-4)*0/(-3))/2 0 Calculate ((-4)/(-72))/(6/(-24)). -2/9 What is the value of ((-8)/14)/((-84)/(-490)*-25)? 2/15 Evaluate 8/((-56)/(-7))*16/2. 8 Evaluate ((-20)/(-450)*-3)/(10/6). -2/25 Evaluate -6*(-6)/(-54)*6/5. -4/5 Evaluate ((-12)/(-10))/(-1*(-40)/(-300)). -9 What is (6/4)/((-63)/84)? -2 What is the value of 136/(-255)*(-3)/36*-3? -2/15 Calculate ((-34)/17)/(9/(-1)). 2/9 Calculate (-36)/27*9/(-12). 1 Calculate (0/(-12))/12*1/(-2). 0 Evaluate (-6)/(-27)*(-1)/(16/(-12)). 1/6 What is (-76)/(-133)*14/(-1)? -8 4/48*8/(-4) -1/6 (-3)/(-2)*(-34)/(-51) 1 What is (-6)/4*6*(-2)/(-18)? -1 4/(-22)*9/(-72)*-8 -2/11 Evaluate ((-240)/300)/(4/30). -6 What is the value of (-12)/(-8)*(-8)/(-21)? 4/7 Evaluate 1/4*-4*(-1)/1. 1 What is the value of (85/30)/(-17)*2*9? -3 What is the value of (-75)/(-125)*12/9? 4/5 Evaluate (-2)/((-4)/(-30)*5). -3 What is (10*(-3)/12)/((-10)/24)? 6 What is the value of ((-6)/(-36))/((-3)/(-4))? 2/9 What is (60/(-24))/(-5)*0? 0 Evaluate (-15)/18*3*-2. 5 What is the value of (37/(-37))/((-1)/(-2))? -2 Calculate (-35)/15*2/(-7). 2/3 (14/(-210))/((-3)/(-9)) -1/5 10/(-36)*704/(-880) 2/9 What is the value of (20/28)/(2/7)? 5/2 15*1/2*676/(-845) -6 What is (1*8)/(1/1*-2)? -4 Calculate ((-8)/14)/((-560)/392). 2/5 What is the value of (3/6*-4)/(-6)? 1/3 What is the value of 1/(-2)*(-12)/(-2)? -3 What is (-6*6/468)/((-2)/(-4))? -2/13 What is 16/(-12)*(3/(-18))/(-1)? -2/9 ((-2)/((-10)/15))/3 1 (((-20)/(-15))/2)/1 2/3 What is (-5)/4*(-30)/25? 3/2 What is the value of (-8)/48*-1*2? 1/3 ((-4)/17)/(58/29) -2/17 What is ((-2)/(-40))/((-66)/495)? -3/8 Calculate ((-72)/(-36))/((-2)/(6/(-39))). 2/13 (280/350)/((-6)/75) -10 What is -21*6*6/108? -7 What is (5/(-30)*8)/(16/72)? -6 Calculate (-12)/(-57)*37/74. 2/19 What is the value of ((45/(-6))/5)/((-3)/6)? 3 Evaluate (1/(1*33))/(6/18). 1/11 Evaluate 4/12*(-8)/(-24). 1/9 Evaluate ((20/(-25))/(4/(-10)))/(-2). -1 What is 2/6*42/28? 1/2 What is the value of -7*(8/(-28))/((-4)/(-6))? 3 Evaluate 2*(77/(-11))/(-98). 1/7 What is 8*(-54)/144*4/(-15)? 4/5 ((-1)/(-3))/((4/(-18))/(-2)) 3 Evaluate (-4)/(-16)*2/(-3). -1/6 What is the value of ((-7)/70)/((-2)/4)? 1/5 Evaluate ((-16)/16)/((-4)/(-5)). -5/4 15/(-9)*(-9)/3 5 Evaluate 18/(-51)*(-3)/(-9)*-1. 2/17 Evaluate (-25)/375*((-150)/4)/3. 5/6 Calculate 48/(-36)*1/2. -2/3 ((-51)/(-51))/((-2)/6*-3) 1 Calculate 10/((-90)/(-9))*9. 9 Calculate ((-6)/(-10))/((-63)/(-270)*3). 6/7 Evaluate 2/(-4)*(-21)/(-21). -1/2 What is the value of (((-1)/2)/((-9)/(-45)))/2? -5/4 Calculate (-18)/(-4)*16/(-12). -6 What is ((-8)/(-6))/((-50)/(-225))? 6 What is 3/(6/10)*1? 5 Evaluate ((-4)/80*-10)/(1/(-6)). -3 What is the value of 4/9*6*447/2980? 2/5 Calculate ((-96)/(-8))/6*(-3)/(-33). 2/11 Calculate (-8*(-2)/(-208))/((-2)/(-4)). -2/13 Calculate (-5)/(-5)*-1*6/(-2). 3 What is the value of 1/(-3)*1/1? -1/3 What is ((714/147)/(-17))/(1/(-2))? 4/7 (3/(-2))/(12/24) -3 What is (14/7)/(2*2/1)? 1/2 What is the value of 32/20*(-10)/(-28)? 4/7 9*(-36)/162*(-3)/(-10) -3/5 What is (-12)/15*(-15)/6? 2 What is -1*(-1)/(2/((-18)/21))? -3/7 What is the value of (19/57)/(-7*(-2)/(-6))? -1/7 What is the value of (-60)/(-16)*36/27? 5 Calculate (0/(-2))/(188/94). 0 (-20)/6*9/(-6) 5 Calculate (155/62)/(1/2). 5 What is 1*6/(-6)*21/(-35)? 3/5 Calculate (-1)/(-4)*50/(-5). -5/2 (-4)/3*8/((-48)/9) 2 Evaluate -4*1/(-4)*-3. -3 What is the value of (6/(-15))/(-4*2/20)? 1 Calculate (8*3/(-6))/(-6). 2/3 Calculate ((-12)/468*-3)/((-3)/(-6)). 2/13 What is the value of 45/(-36)*1/5? -1/4 Calculate (836/(-152))/(1/2). -11 What is the value of (((-30)/(-5))/(-12))/(3/2)? -1/3 Evaluate (2/(-4)*-4)/((-6)/(-21)). 7 What is (-16)/(-60)*(-15)/40? -1/10 What is (-10)/6*(-3)/(-15)*-2? 2/3 Calculate (6/45)/(4/(-6)). -1/5 (-6)/(-2)*(-56)/(-1260) 2/15 Evaluate (52/(-8))/(-13)*0. 0 Calculate -1*2/3*(-25)/50. 1/3 What is (5/3)/(3*1/(-9))? -5 What is the value of (-9)/6*-4*(-2)/(-20)? 3/5 Calculate (0*18/(-306))/((-1)/(-1)). 0 What is ((-17)/68)/((-1)/8)? 2 What is the value of 11/((-330)/40)*3? -4 Evaluate 6*((-168)/18)/(-14). 4 Calculate (5/((-25)/(-15)))/(8/8). 3 What is the value of ((-5)/(-4))/((-4)/16*-1)? 5 What is (6/(-2)*(-16)/(-30))/(-2)? 4/5 What is the value of ((-8)/16)/((-2)/4)? 1 What is the value of 98/21*(-1)/((-4)/6)? 7 What is the value of (6/15)/(180/100)? 2/9 Evaluate (6/8)/((-51)/(-204)). 3 What is (-9)/(729/6)*81/(-9)? 2/3 What is the value of 1/(-12)*2*0/(-14)? 0 Evaluate 8/36*27/12. 1/2 What is (-16)/12*(-15)/(-10)? -2 What is 60/(-66)*2/(-10)? 2/11 Calculate (460/1196)/((-10)/(-4)). 2/13 What is (((-9)/(-9))/(-1))/((-2)/18)? 9 What is the value of (-1)/(-1*1*(-3)/6)? -2 5/(1*-1*2/2) -5 Calculate (-3)/3*(-3)/6*8. 4 (13/((-715)/22))/((-3)/(-12)) -8/5 What is 2/(-18)
{ "pile_set_name": "DM Mathematics" }
increasing order. d, 1, 2 Let n be (-4 - 0)*2/(-60). Let u = 11840 - 319681/27. Sort 0, n, u in decreasing order. n, 0, u Let z = -736 + 736.3. Let q = 333 + -333.1. Suppose 2*a = 3*a - 13. Put q, z, a in increasing order. q, z, a Let n(p) = -5*p. Let l(i) = 4*i - 29. Let g be l(7). Let z be n(g). Let x be 3 - (-6)/(-2) - z. Put x, 2, -1, -4 in ascending order. x, -4, -1, 2 Suppose 50*n = 54*n - 15928. Let r = n + -27920/7. Let u = r + 152/21. Sort u, -0.3, -1/3, -0.5 in decreasing order. u, -0.3, -1/3, -0.5 Suppose 5*i + 9 = -p, -2*i + p + p = -6. Let g be i/(-10) + (-434)/1540. Put 1.1, g, -1/6, 2 in descending order. 2, 1.1, -1/6, g Let l be 4/(-22) - ((-688)/(-220))/(-4). Let o be ((-25)/(-27))/5*3. Let m = o - 11/9. Sort l, -3, m in decreasing order. l, m, -3 Suppose -3*q + 8*m - 13*m - 8 = 0, -4*m - 3 = -q. Sort 0.5, -5, 0, q in increasing order. -5, q, 0, 0.5 Let a = 0.1 - 0.1. Let g = 1539 + -1199. Suppose 2*p = 342 - g. Sort -3/2, p, -2/3, a in increasing order. -3/2, -2/3, a, p Let b = 875 - 871. Sort b, 5, 2/21 in decreasing order. 5, b, 2/21 Let r(s) = -27*s - 3786. Let i be r(-140). Sort -8, -4, i in decreasing order. -4, i, -8 Let t be (-352)/(-12)*3 - -1. Let h be (t - -11) + 4 + 0. Let d be 6/(-8) + 0 + h/(-32). Sort d, 4, -6 in ascending order. -6, d, 4 Let i = -8104 + 9123. Sort i, 5, -4 in descending order. i, 5, -4 Suppose -3*l - 5*f + 19 = 0, 2*l + 5*f = l + 23. Let b be l - (-3 + 1 - (-1 - -4)). Suppose -19 + 7 = -6*c. Sort 5, b, c, -1 in descending order. 5, b, c, -1 Let y be (23 + -25)*(3 + 88/(-28)). Put -5, y, 1, -1, -7/5 in descending order. 1, y, -1, -7/5, -5 Let q = 9.29 + -0.29. Put q, 43, -1 in descending order. 43, q, -1 Let w(i) = 271*i - 1417. Let m be w(5). Put 2, 2/11, m in descending order. 2, 2/11, m Let c = 19509.94 - 19510. Sort c, -2, -3/7, -1/13 in descending order. c, -1/13, -3/7, -2 Suppose 0 = -4*z + 2*z - 8. Let a(v) = v**3 + 21*v**2 + 19*v - 21. Let i be a(-20). Let j be i + 4/(-6)*6. Sort z, j, -1, 4 in descending order. 4, -1, z, j Let i(g) = g**3 - 8*g**2 - 5*g - 3. Let h be i(8). Let t be 12/54 + (h/72)/1. Let d = 0.7 + -2.7. Put t, d, 2, 1/6 in descending order. 2, 1/6, t, d Let c(d) = -3*d**2 - 15*d + 16. Let s be c(-6). Put -4, 8, 25, -1, s in ascending order. -4, s, -1, 8, 25 Let o = 0.01 - 0.31. Let d = 33/116 - 30/29. Sort d, o, 2/5 in ascending order. d, o, 2/5 Let c(p) = 2*p + 22. Let b be c(-9). Suppose 2*u + 8 = 2, 3*u + b = x. Put -3, -1, x, 1 in descending order. 1, -1, -3, x Let v(z) = 11*z - 8. Let m be v(6). Let d(y) = y**2 - m - 2*y**2 + 64. Let k be d(3). Put 3, k, 2 in increasing order. k, 2, 3 Suppose -3 = s, -2*s + 1 = -5*z - 3. Suppose -2*v + 16 = -4*v. Let d be (-10)/3 + 6/(-9). Sort d, z, v. v, d, z Suppose -4*m = -2*h - 73 + 75, 2*h - 7 = -m. Put 2, m, 3525 in decreasing order. 3525, 2, m Let a = 3.1658 - 3.0658. Sort 2, -2/67, 1/6, a, -2 in descending order. 2, 1/6, a, -2/67, -2 Let t = 515.9481 - -0.0519. Let l = -513 + t. Sort 1, -3, 2, l. -3, 1, 2, l Let q = -2649 - -2645. Let m = -13/6 + 11/6. Sort 0, -11, m, q in descending order. 0, m, q, -11 Let z(m) = -m**3 + 11*m**2 - 7*m - 28. Let a be z(10). Let h be a - 2*(-5 - -6). Put -2, 42, h in ascending order. -2, h, 42 Let f(y) = 39*y + 1696. Let h be f(-42). Sort 0.5, 5, h in increasing order. 0.5, 5, h Suppose 3*u = -2*z - 42, -2*z + 64 = -4*u - 6*z. Put u, 3/2, 1 in ascending order. u, 1, 3/2 Let w be 9*7/(-105)*105/(-18)*6. Put w, 0, -29 in descending order. w, 0, -29 Let l = 12135 - 12111. Sort l, 1, 11, 15. 1, 11, 15, l Suppose 3*f - 610 = 2*w - 288, -16 = 4*f. Put -2, 9, w in decreasing order. 9, -2, w Suppose f + 3*v = 1 - 7, -5*v = 5*f. Suppose f*n + 3*s = -21, -3*s - 7 = 2*n + 10. Sort -3, -1, n, -30 in decreasing order. -1, -3, n, -30 Let h = -6.84 - -11.07. Let x = h - 4.03. Put 51, 3, x in descending order. 51, 3, x Suppose 242*m = -4*a + 245*m - 26, -4*a = -2*m + 20. Put 3, 7, a, 4, 8 in decreasing order. 8, 7, 4, 3, a Suppose 0 = 8*m - 8*m + 5*m - 165. Sort 5, -4, m, 4 in increasing order. -4, 4, 5, m Let q = 0.4 + -0.04. Let s = -0.3 + q. Let t = 31177 + -31179. Sort s, t, -4. -4, t, s Let d = -3009.9906 + 3010. Sort d, 3, 0.5, -0.5 in descending order. 3, 0.5, d, -0.5 Suppose -15*t - 164 = 18*t + 265. Suppose 3*k = -4*m - 28, 3*m + 2*k = -15 - 5. Sort -0.5, m, t. t, m, -0.5 Let p = -20.54 - -20.54. Put 10, p, 1, 2/9 in descending order. 10, 1, 2/9, p Let n be (-4)/(-14) - (-2)/(-7). Let g be (-5)/(5/(50/(-10))). Suppose 5*i + 15 + g = n. Sort i, 0.1, 0.5, 7. i, 0.1, 0.5, 7 Let x = 133/5 + -27. Let u = 3427 + -3419. Sort 0.4, u, x, 0.3 in ascending order. x, 0.3, 0.4, u Let z = -2157 + 2155. Sort z, -1, 58, 0 in decreasing order. 58, 0, -1, z Let g be (-2546)/804 + (-7)/(-42). Let l(o) = o - 1. Let w be l(1). Sort g, 4, w, 6. g, w, 4, 6 Let r be -2 - 116/30 - (-18)/15*5. Sort r, -0.3, 1, -3/77. -0.3, -3/77, r, 1 Let z = -494.27 - -452. Let p = 42.4 + z. Sort p, 5, 3. p, 3, 5 Suppose 2*x = 16*x - 64 - 48. Sort x, -1, 4, 1, 19. -1, 1, 4, x, 19 Let n = 0.16 + 1.02. Let s = -2.82 - n. Sort -3, 2, s, 11. s, -3, 2, 11 Let n(t) = t**3 - 9*t**2 + 8*t + 2. Let i be n(8). Suppose 0 = -j - j - i. Let q = -282 + 283. Put 0, j, q in decreasing order. q, 0, j Let p = -461 - -373. Let a = p - -87.8. Let c = 18 - 52/3. Put -0.4, c, a in decreasing order. c, a, -0.4 Let t be -8 + 3 + 15 + 1 + -3. Suppose 5*p - 3*p - t = 0. Let d be (6/4 + p/(-8))*3. Sort 0, d, -3 in descending order. d, 0, -3 Let a = 6849 - 6848.8. Let r = 0.1 + 2.9. Put a, -0.3, 2, r in decreasing order. r, 2, a, -0.3 Suppose -15 = 4*a + 5*f, -3*f - 11 = -2*a - 2. Suppose -12*d + 17 - 53 = a. Let b = 1 - 0.9. Put d, b, 0.2 in increasing order. d, b, 0.2 Let z = 3386 - 3382. Put z, -8, 110/9 in increasing order. -8, z, 110/9 Suppose 9 = i - 6*o + 11*o, -i - 1 = -5*o. Let j = -279 - -275. Sort i, j, 85 in decreasing order. 85, i, j Let b(d) = -d**3 + 29*d**2 + 62*d - 2. Let h = -680 - -711. Let z be b(h). Put z, -3, -5, 7 in decreasing order. 7, z, -3, -5 Let y = -49258/397503 - -32/261. Let x = y + -3040/4569. Put x, 7/2, -0.4 in decreasing order. 7/2, -0.4, x Let p = 556 - 365. Let i = -190.9 + p. Let n = 1.15 + -1.1. Sort i, -4/3, n in decreasing order. i, n, -4/3 Suppose 0 = -5*g + f + 8, 7*f - 7 = 2*g + 10*f. Let a = -1372 + 1377. Suppose 10 = 5*s, 5*i - 3*s - 8 = 6. Sort a, -4, g, i in ascending order. -4, g, i, a Let f(v) = -2*v - 4. Let x be f(-7). Let d be ((-464)/290)/((-10)/(-25)). Sort -5, x, d in decreasing order. x, d, -5 Let p = 15220 + -15222. Put 131, 3, 4, p in descending order. 131, 4, 3, p Let i = 0.35 + 0.05. Let r be (-8*(-76)/64 - 8) + 146/(-92). Put -4, r, i in ascending order. -4, r, i Let r = 0.65 + 0.2596. Sort -4, 1/6, r. -4, 1/6, r Let s = 0.123 + -105.123. Let u = -119 - s. Sort -4/7, u, -2/3. u, -2/3, -4/7 Suppose -4*d - 144*h + 149*h = 157, 0 = 5*d - h + 191. Put 1, -3/5, 3, d in decreasing order. 3, 1, -3/5, d Let g be (-4)/(-38) + 12183/(-20615). Let h = -223/315 - g. Sort h, 1/6, -1.2. -1.2, h, 1/6 Let p(r) = 150*r - 2600. Let u be p(16). Put 0, 1, -2, u in decreasing order. 1, 0, -2, u Let u(c) = c**3 - 8*c**2 - 292*c + 1530. Let s be u(5). Sort 88, 5, s in descending order. 88, 5, s Let t be ((-48)/(-32))/(((-1)/2)/(-1)). Suppose i - 51 = t*v, -i + 51 = -4*v - 16. Sort -3, v, -1/9, 2/7 in decreasing order. 2/7, -1/9, -3, v Let x be (-540)/130 + 7/(182/4). Let q = -27/4 - -6. Let p = -89 - -980/11. Sort -1/3, x, p, q in decreasing order. p, -1/3, q, x Let k(m) = 9*m + 214. Let i be k(-24). Let r be ((-3)/(-4))/(25/(-600)). Sort -3, r, i, 5 in decreasing order. 5, i, -3, r Suppose 7 = -2*n - 1, -18*n - 57 = -54*h + 49*h. Suppose -2*y - 2*l + 2 = 0, -3*l + 0*l = 0. Sort y, 5, h, -7 in decreasing order. 5, y, h, -7 Let g = 3112 + -18695/6. Put -3, g, -0.05 in increasing order. g, -3, -0.05 Suppose -26*y + 70*y + 1168 = -29*y. Sort y, -5, -1, 3, 1 in ascending order. y, -5, -1, 1, 3 Let s(r) = 2*r**3 - 6*r**2 - 2*r + 25. Let c be s(-2). Sort -3, -8, 2, -2, c in decreasing order. 2, -2, -3, -8, c Let b = 33.03 + -32.83. Sort -5, -4, b, 42. -5, -4, b, 42 Suppose 3*v + 42 = 4*i, 10*v = 2*i + 12*v - 14. Suppose -i - 3 = -12*k. Sort -1, k, -4, -11 in decreasing order. k, -1, -4, -11 Let d = 7789 + -7789. Put -2, d, -5,
{ "pile_set_name": "DM Mathematics" }
nits digit of n(9)? 9 Suppose -76*l = -21*l - 87615. What is the hundreds digit of l? 5 Let d = -86 - -129. Suppose -2*a + 4*o = -0*o - 126, -a + d = 2*o. Suppose 4*m + 108 = 3*t, -3*t + 2*m = -155 + a. What is the units digit of t? 2 Let q(a) = a**3 - 6*a**2 - 16*a + 1. Let f be q(8). What is the units digit of 0 - (f*-26 + 4)? 2 Suppose 5*p = 4*p + 36. Suppose -3*n + 0 = -p. What is the units digit of 27 - (n/2 + -3)? 4 Let i = 176 + 507. What is the units digit of i? 3 Let w = 2598 + -1609. What is the tens digit of w? 8 Let k(q) = -2*q**2 + 5*q - 3. Let v be k(3). What is the tens digit of ((-244)/12)/(2/v)? 6 Let j(q) = -399*q + 23. What is the hundreds digit of j(-1)? 4 Suppose 5*f = 5*o + 475, 5*o + 511 = -f + 36. Let z = o + 63. Let c = -8 - z. What is the units digit of c? 4 Let w(o) = 564*o**2 - 18*o + 18. What is the tens digit of w(1)? 6 Suppose 436 + 748 = 4*h. What is the units digit of h? 6 Let i = 39 - 20. Suppose 0 = 4*r - 21 - i. What is the tens digit of r? 1 Suppose 24*w - 3585 = -4*f + 25*w, 0 = -4*f - 5*w + 3603. What is the units digit of f? 7 Let m be (2050/15)/((-8)/(-12)). Suppose -3*u - 41 = -4*u - x, -5*u = -4*x - m. What is the tens digit of u? 4 Let m = -103 + 1601. What is the units digit of m? 8 Suppose -4*d - 3*j - 19 = 0, d + j - 7 = 3*d. Let z be -3*(-4)/d + -4. Let s = z - -10. What is the units digit of s? 3 Suppose 4*s - 95 = 3*s - k, 5*s - 425 = 5*k. What is the units digit of s? 0 Let k be (-2 - 4)*(-1)/2. Suppose 0 = -3*b, 5*j = k*b + b + 385. Let a = j - 45. What is the tens digit of a? 3 Let x(g) = 32*g**3 + g**2 + 4*g - 32. What is the thousands digit of x(5)? 4 Let l(z) = z**3 + 7*z**2 - 4*z - 7. Let u be l(-7). What is the tens digit of 4/(-14) + (-115)/(-35) + u? 2 Suppose 3*m + 7*p - 3*p = 1502, 4*m = -4*p + 2004. What is the units digit of m? 2 Suppose -6*f + 558 = -1236. What is the tens digit of f? 9 Suppose 0 = -4*r - 5*c + 5, 4*r - 5*r - 3*c - 4 = 0. Suppose -y - 3*s = -178, 3*y = -7*s + r*s + 548. What is the hundreds digit of y? 1 Suppose 2*i + 4*h = 1662 + 188, -5*h - 15 = 0. What is the units digit of i? 1 Let k = -10 - -12. Let f = 2 + k. What is the tens digit of 554/22 + f/(-22)? 2 Let v = -528 - -957. What is the hundreds digit of v? 4 Let l(u) = 1 + 4*u + 2*u**2 - 6*u - 5*u**3 + 21*u**3. What is the units digit of l(1)? 7 Let j = -71 + 74. What is the hundreds digit of 3861/26 - j/2? 1 Let d = -2659 + 4394. What is the hundreds digit of d? 7 Let q = 48 - 36. What is the tens digit of 388/6 + 4/q? 6 Let l = -601 - -1729. What is the hundreds digit of l? 1 What is the thousands digit of ((-46)/5)/((-68)/13260)? 1 Let h(w) = 3*w**2 - 32*w + 229. What is the units digit of h(13)? 0 Let h be 1*((4 - -1) + 0). Suppose h*k - 80 = 250. What is the tens digit of k? 6 Suppose 2*y - 3139 = -79. What is the units digit of y? 0 Let q be 7/21 - (-272)/3. Let o = 193 - q. What is the tens digit of o? 0 Let d = 26 - 14. What is the tens digit of (416/d)/(8/12)? 5 Let g(f) = f**3 - 11*f**2 + 8*f + 23. Let s be g(10). Suppose -t + 0*b + 68 = -b, s*b - 234 = -3*t. What is the units digit of t? 3 What is the hundreds digit of 6*19679/22 - 0? 3 Let j(d) be the second derivative of -d**5/20 - 3*d**4/4 - 2*d**3 - 6*d**2 + 109*d. Let v(f) = f - 14. Let b be v(6). What is the units digit of j(b)? 0 What is the hundreds digit of 8/10*(-1580)/(-8)? 1 Suppose -18 = -m - d - 5, -5*m + 56 = -4*d. Let g = 37 + m. What is the units digit of g? 9 Let z(h) = -h**3 - 6*h**2 - 31*h + 8. What is the units digit of z(-10)? 8 What is the units digit of (342/(-30))/(13/(-780))? 4 Suppose 1637 = 3*x - 4*n - 257, 3*x - 3*n = 1899. What is the units digit of x? 8 Let d be (-8)/(-16) + (-7)/(-2). Suppose -3*n + d = -n. Suppose 5*q - 62 = -4*z, -3*q = n*z - q - 32. What is the tens digit of z? 1 Let u(h) = 4*h**2 - 2 - 14*h - 19*h + 33*h. Let w be u(4). Let s = w + -36. What is the units digit of s? 6 Suppose -37*k + 15*k = -88286. What is the units digit of k? 3 Let k = -114 - -242. Suppose 4*y = -0*y - k. Let n = 55 + y. What is the units digit of n? 3 Let x = -7 + -20. Let p = 33 - 91. Let m = x - p. What is the tens digit of m? 3 Let o = 19 - -170. Suppose -5*y + o = -2*y. What is the units digit of y? 3 Let s be 20/3*(-10)/(-40)*9. Suppose 5*a + 3*z + 44 - 210 = 0, 5*z = -s. What is the units digit of a? 5 Suppose -42 = 2*q + 4*q. Let p(s) = -s + 1. What is the units digit of p(q)? 8 Suppose 0*d = 3*d - 2889. Suppose 344 + 226 = 3*k - 2*n, 5*k + n = d. What is the tens digit of k? 9 Let o = -84 + 57. Let b = o - -18. Let p(y) = -y**3 - 9*y**2 - 2*y - 13. What is the units digit of p(b)? 5 Let u = -93 + 143. What is the units digit of (-1 - u)/(-8 + 7)? 1 Let n(h) = 1548*h - 12. What is the units digit of n(1)? 6 Suppose 4180 = 18*z - 17006. What is the units digit of z? 7 Let o = -3 + 2. Let z = 792 - 791. What is the units digit of z*(-18 + 1)*o? 7 Let i = 119 + -67. Suppose 77 = 5*c - 3*l, -4*c + i = l - 13. Suppose 0 = 6*m - c - 20. What is the units digit of m? 6 Let w = 403 + 115. What is the hundreds digit of w? 5 Let r(o) = o**3 - o**2 - o + 2. Let n be r(0). Let a(u) = -3*u**2 + 2*u**n - u**2 + u**3 + u. What is the units digit of a(3)? 2 Let m = -52 + 55. Suppose -m*z + z = -220. What is the units digit of z? 0 Let k(i) = 2*i**2 + 19*i + 14. Let l be k(-9). What is the units digit of (-8*17/6)/(l/(-30))? 6 Suppose -2*l = -3*g + 11, -3*g - 7 = -6*g + l. Let p be g - ((0 - 5) + 3). What is the tens digit of (6/(-4))/(p/(-128))? 6 Let f(y) = -9*y + 7. Let z be f(-4). Let b = z - 40. What is the units digit of b? 3 Let s(t) = 6*t**2 - t - 3. Suppose -3*p - 4*u = -0*p + 5, 3*p - u + 10 = 0. What is the units digit of s(p)? 4 Suppose -16*f + 7664 = -0*f. What is the tens digit of f? 7 Let i be 14/2 - (-2 + 4). Suppose -9 = -n + i. Suppose n*s - 18*s + 8 = 0. What is the units digit of s? 2 Let p(u) = u**2 - 4*u - 60. Let i be p(-6). Let d be 5 - (0 - 0/3). Suppose -d*k + 200 = -i*k. What is the tens digit of k? 4 Let f(b) = 62*b**2 + 3*b - 6*b + b**3 - 54*b**2. What is the units digit of f(4)? 0 Let a = -23 - -25. Suppose 3*y - 4*t = -t + 30, 17 = a*y - 3*t. What is the units digit of y? 3 What is the tens digit of -12*(-19)/(-2)*(-110)/20? 2 Let v(s) = 8*s + 103. What is the units digit of v(-8)? 9 Suppose 0 = 10*c - 436 - 2074. What is the units digit of c? 1 Suppose -10*x = -4*x - 342. What is the units digit of x? 7 Suppose -58608 = -27*q - 17*q. What is the units digit of q? 2 Let h be 236/14 + (-5)/(-35). Let o = h + -14. What is the units digit of o? 3 Suppose -977 = 8*y - 2737. Suppose 2*j = 4*m - 624 - y, 4*m - 3*j = 848. What is the tens digit of m? 0 Suppose 2060 - 658 = 2*c. What is the hundreds digit of c? 7 Suppose l - 1054 = -158. What is the tens digit of l? 9 Let p = -34 + 31. Let v(q) = -3*q**3 - 4*q**2 - q + 1. What is the tens digit of v(p)? 4 Let f = -49 + 91. Suppose -17*r + 14*r = -f. What is the tens digit of r? 1 Let l(k) = 7*k**2 + 13*k - 4. Let p be l(-3). Suppose 0 = p*u - 19*u - 33. What is the tens digit of u? 3 Suppose -6*g + g + 770 = 0. Suppose -g = -2*s - 4*a, -22 = -5*a - 2. What is the tens digit of s? 6 What is the units digit of (-3 - -429) + (7 - 6)? 7 Let z = 8338 - 4426. What is the hundreds digit of z? 9 Let x be ((-3)/4)/((-9)/48). Suppose 92 = 2*a + a + x*j, -5*a - 5*j = -150. What is the units digit of a*(33/6 + -4)? 2 Let a(w) = -w. Let g be a(-4). Suppose -36 = g*f - 2*f. What is the units digit of f/(-4 - -2) - 1? 8 Suppose -i + 5*h = -1689, -6*h + 8535 = 5*i - h. What is the units digit of i? 4 Suppose 5*g + 80 = 13*g. Let q = g - -24. What is the units digit of q? 4 Let x = -88 - -90. Suppose -j + 450 = x*h + 3*j, -924 = -4*h + 4*j. What is the tens digit of h? 2 Let s(v) = v**2 + 4*v + 16. Suppose -10 = 5*m + 45. What is the tens digit of s(m)? 9 Suppose 18*b = -18*b + 22752. What is the hundreds digit of b? 6 Let z be (2 + 0)/((-5)/30). Let q be (6 + 0)/(z/(-6)). Suppose 0 = -0*d + q*d - 90. What is the units digit of d? 0 Let l be 4/14 + (-162)/(-21). Let u = l - 11. What is the units digit of (-4 - -8) + (-78)/u? 0 Let a(b) = b**3 + 3*b**2 + 3*b - 3. Let q be a(-6). What is the tens digit of q/(-6) + 3/6? 2 Suppose -3*p + 1609 = -2369. What is the thousands dig
{ "pile_set_name": "DM Mathematics" }
to 4 decimal places? -0.0047 Round 0.04948384 to 4 decimal places. 0.0495 Round 1.505862 to 2 decimal places. 1.51 Round 7965930 to the nearest one million. 8000000 What is -0.0000002452716 rounded to 7 decimal places? -0.0000002 Round 0.0000043340388 to 7 decimal places. 0.0000043 What is -18.29446 rounded to one dp? -18.3 What is -133821.1 rounded to the nearest 1000? -134000 What is 0.0000752173 rounded to six decimal places? 0.000075 What is 0.001777208 rounded to six dps? 0.001777 What is -193.155 rounded to the nearest ten? -190 Round 2567565.3 to the nearest one million. 3000000 What is 724074 rounded to the nearest one hundred thousand? 700000 Round -0.0003564069 to four dps. -0.0004 What is 660337 rounded to the nearest 1000? 660000 Round 0.035002 to 2 decimal places. 0.04 Round 0.00723039 to three dps. 0.007 What is 0.02966936 rounded to 4 dps? 0.0297 Round 1174.0082 to the nearest one hundred. 1200 Round -32.79965 to the nearest integer. -33 What is -0.01008822 rounded to 4 decimal places? -0.0101 Round -178562 to the nearest ten thousand. -180000 Round -452378.9 to the nearest 100000. -500000 What is 0.16544248 rounded to two dps? 0.17 Round -175.913 to the nearest one hundred. -200 What is -0.0000294548 rounded to seven dps? -0.0000295 Round 8942.875 to the nearest one thousand. 9000 Round -125.941 to the nearest ten. -130 Round 767.262 to 0 decimal places. 767 Round 0.43748083 to three dps. 0.437 Round -1698885.2 to the nearest 10000. -1700000 What is -0.0001685674 rounded to 6 decimal places? -0.000169 Round -1399320 to the nearest ten thousand. -1400000 Round 5840.36 to the nearest one hundred. 5800 Round -2.8423907 to 2 decimal places. -2.84 What is 1.94832 rounded to the nearest ten? 0 What is 570.4064 rounded to zero decimal places? 570 Round -6868.0771 to the nearest ten. -6870 Round -0.001075205 to 4 decimal places. -0.0011 What is -1.2161156 rounded to two dps? -1.22 Round -1362.64 to the nearest 100. -1400 Round 0.00000100126 to seven dps. 0.000001 What is -917.7797 rounded to the nearest 10? -920 What is 254.1898 rounded to the nearest 100? 300 What is 332399.5 rounded to the nearest 1000? 332000 Round 111482500 to the nearest one hundred thousand. 111500000 Round 8453.66 to the nearest ten thousand. 10000 What is 20487.3 rounded to the nearest 1000? 20000 Round -6272198 to the nearest 100000. -6300000 Round -0.0000204112 to 7 dps. -0.0000204 What is -0.000126926 rounded to five decimal places? -0.00013 What is -3.1447021 rounded to 1 dp? -3.1 Round -2632936000 to the nearest one million. -2633000000 Round -491.727 to the nearest 100. -500 Round -2301.3936 to the nearest 10. -2300 What is -48.12507 rounded to 1 dp? -48.1 What is -4022.73 rounded to the nearest 10? -4020 What is -0.2223652 rounded to 3 decimal places? -0.222 Round 242.36 to the nearest integer. 242 Round -7753.85 to the nearest one hundred. -7800 Round 2303450 to the nearest one hundred thousand. 2300000 What is -58046.18 rounded to the nearest one thousand? -58000 Round -0.0019862858 to 3 decimal places. -0.002 What is -1528860 rounded to the nearest 100000? -1500000 Round -5.434645 to two dps. -5.43 What is 435439.61 rounded to the nearest one thousand? 435000 What is 7531.551 rounded to the nearest ten? 7530 Round 1803.923 to zero decimal places. 1804 What is -0.0000912511 rounded to five decimal places? -0.00009 Round -34.985978 to zero decimal places. -35 What is -0.0948795 rounded to 3 dps? -0.095 What is 5.93713 rounded to 1 dp? 5.9 What is -0.0001788671 rounded to 5 decimal places? -0.00018 Round -799942100 to the nearest 100000. -799900000 Round 181.6249 to the nearest 10. 180 Round 3707015 to the nearest one million. 4000000 Round 1.4715416 to three dps. 1.472 Round -217.1015 to the nearest 10. -220 Round -0.0000006466829 to 7 decimal places. -0.0000006 What is -63748000 rounded to the nearest one million? -64000000 Round 0.00001731386 to seven dps. 0.0000173 What is 0.005331448 rounded to five dps? 0.00533 Round 0.001812326 to 6 decimal places. 0.001812 Round 4.62287 to zero decimal places. 5 What is -0.1948843 rounded to 4 decimal places? -0.1949 What is -0.00012208 rounded to five decimal places? -0.00012 Round -2775.6617 to zero decimal places. -2776 What is 0.00023753049 rounded to five dps? 0.00024 Round 205550 to the nearest one thousand. 206000 What is 1.15268 rounded to the nearest integer? 1 What is 0.1413952 rounded to three dps? 0.141 Round 0.0027953 to 5 dps. 0.0028 Round -2827.4042 to the nearest 10. -2830 Round -21.111205 to 1 decimal place. -21.1 Round 3002.517 to zero dps. 3003 What is 128362000 rounded to the nearest 1000000? 128000000 What is -188077100 rounded to the nearest 100000? -188100000 Round 0.04836 to 1 decimal place. 0 Round -0.0006097584 to 5 decimal places. -0.00061 Round -0.00007882683 to five decimal places. -0.00008 Round -0.0009977692 to four decimal places. -0.001 Round 0.365441 to 2 decimal places. 0.37 What is -745512900 rounded to the nearest 100000? -745500000 What is -0.5270056 rounded to 2 dps? -0.53 Round 0.00001748883 to 7 decimal places. 0.0000175 Round 218851100 to the nearest one million. 219000000 What is 7.213286 rounded to 1 decimal place? 7.2 What is -35.23274 rounded to the nearest ten? -40 What is -42.80731 rounded to the nearest 10? -40 Round 308.1198 to the nearest integer. 308 What is 0.0000245169 rounded to six dps? 0.000025 What is -10082144 rounded to the nearest one million? -10000000 What is 7.3655 rounded to the nearest integer? 7 What is -440255400 rounded to the nearest one million? -440000000 What is -0.00506869 rounded to 4 dps? -0.0051 Round -0.000095078 to six dps. -0.000095 Round 0.00002536 to 5 dps. 0.00003 What is -61.72432 rounded to the nearest ten? -60 What is 0.812329 rounded to 1 dp? 0.8 Round -0.00030120922 to 7 decimal places. -0.0003012 What is -1740170000 rounded to the nearest one million? -1740000000 Round 192433.52 to the nearest 10000. 190000 Round -1.89687 to 3 dps. -1.897 Round 0.00000129071 to seven decimal places. 0.0000013 Round -0.001780073 to 4 dps. -0.0018 What is -0.0001397065 rounded to 5 decimal places? -0.00014 Round 3575.691 to the nearest 100. 3600 Round -0.0000124713 to five dps. -0.00001 Round -0.000004126706 to six dps. -0.000004 What is -73321050 rounded to the nearest one hundred thousand? -73300000 Round -1810.595 to the nearest ten. -1810 Round 0.000198178 to 5 dps. 0.0002 Round 0.0824642 to 3 decimal places. 0.082 Round -42037.09 to the nearest one hundred. -42000 Round 0.0000030803 to 7 decimal places. 0.0000031 Round 0.07426711 to two dps. 0.07 What is -0.0000926465 rounded to 6 dps? -0.000093 Round -2.13918 to three decimal places. -2.139 What is -0.000136088 rounded to 5 decimal places? -0.00014 What is -0.00004406671 rounded to five dps? -0.00004 What is -125756.4 rounded to the nearest 1000? -126000 Round 78219.7 to the nearest 100. 78200 What is -1107.1234 rounded to the nearest one hundred? -1100 Round 2115.2067 to the nearest one hundred. 2100 What is -0.000167125 rounded to 7 decimal places? -0.0001671 What is -0.00001010947 rounded to six dps? -0.00001 What is 2.39696 rounded to two decimal places? 2.4 Round -0.001828456 to five dps. -0.00183 Round -3344032000 to the nearest one million. -3344000000 What is 28363200 rounded to the nearest 1000000? 28000000 Round 0.000043792 to 6 dps. 0.000044 Round 20395458 to the nearest one million. 20000000 What is 0.000003015902 rounded to 7 decimal places? 0.000003 Round 0.0000000897904 to 7 dps. 0.0000001 Round 2.014097 to 0 decimal places. 2 Round -0.000019583512 to six decimal places. -0.00002 What is 105.93491 rounded to 1 decimal place? 105.9 Round -0.000046333 to five decimal places. -0.00005 What is -2098.724 rounded to the nearest integer? -2099 Round -0.5014726 to three decimal places. -0.501 What is -6833204 rounded to the nearest ten thousand? -6830000 Round -0.00000750223 to 7 decimal places. -0.0000075 What is -105.1607 rounded to one dp? -105.2 Round 82.903841 to the nearest ten. 80 Round 12018124 to the nearest ten thousand. 12020000 Round -115.8853 to one decimal place. -115.9 Round -24.9627 to one decimal place. -25 What is 0.00264055 rounded to 5 dps? 0.00264 Round 0
{ "pile_set_name": "DM Mathematics" }
Rearrange -1 + 24*s - 177*s**2 + 348*s**2 + 21*s - 172*s**2 to q*s**2 + x*s + w and give q. -1 Express 3*n**2 + 0*n**2 + 0*n**2 + 4*n - 4*n - 3*n**2 + 178 - 178 + 28*n**2 + (n + n + 0*n)*(-2*n + 0*n + 3*n) + n**2 - 4 + 4 as l + r*n**2 + u*n and give r. 31 Rearrange -6*u**4 - 11*u**4 + 13*u**4 + (0*u**2 - u**4 + 0*u**2)*(-31 + 11 + 11) to the form g*u**2 + n*u**4 + l + r*u + p*u**3 and give n. 5 Rearrange -293*v + 23 - 21 - 202*v to the form n + p*v and give p. -495 Rearrange (-11*v + 31*v + 13*v)*(-3*v + 2*v + 11*v) to the form c + l*v + t*v**2 and give t. 330 Rearrange -15 - 1 - 109*h - 16*h + 5 + 15 to t + y*h and give t. 4 Rearrange 51*g**4 + g**3 - 3*g + 3*g - 50*g**4 + 20 + 3*g to the form n*g**4 + j*g**2 + x*g + a*g**3 + u and give u. 20 Rearrange 15*n**4 + 2*n**3 + n - 61 + 110 - 50 - 3*n**2 to the form c*n**3 + o*n**2 + v + d*n + z*n**4 and give o. -3 Express (-84*f - 14189 + 14189)*(-1 + 0 + 3)*(4 - 1 + 1)*(-3 - 3 + 5) in the form v + p*f and give v. 0 Express 284 - 143 - 142 + 1548*g in the form u + d*g and give d. 1548 Rearrange -4 + 63*k + 14 - 5 - 5 to m*k + t and give t. 0 Rearrange 2 - 2*r + 27*r**3 + r**2 - 2 - 2*r**2 + 2 to z + m*r + c*r**2 + f*r**3 and give z. 2 Rearrange -15 - d + 21 + 2 to the form j + x*d and give x. -1 Express (-3*u - u + 2*u)*(13*u + 36*u - 12*u)*(0*u - 3*u + 4*u) as g*u**2 + j*u**3 + p*u + l and give j. -74 Rearrange -16*b**2 + 0*b + 0*b + (-5 + 2 + 4)*(3 - 2 - 3)*(2*b**2 - 3*b**2 + 5*b**2) to l*b**2 + m + d*b and give l. -24 Express -r**3 + 65 - 17*r + 28*r - 67 as v*r**3 + c*r + j*r**2 + d and give v. -1 Express (0*b**2 - 14*b**2 - 11*b**2)*(4*b**2 + b**2 + 13*b**2) in the form p*b + l*b**3 + n*b**2 + t*b**4 + v and give t. -450 Express (7 - 47*p - 111*p - 7)*(2 - 2 - p) as w*p + x + h*p**2 and give h. 158 Express (10 + 12 - 9)*(3*o + 3*o**3 - 3*o) + 3*o**2 + 3*o**3 - 3*o**2 in the form m*o**3 + q*o**2 + d*o + u and give m. 42 Rearrange (2 - 6 + 1)*(-4*q**2 + 2*q**2 + q**2)*(58 + 85 - 48) to r*q + j*q**2 + b and give j. 285 Rearrange (36*f**2 - 17*f**2 + 45*f**2 + (-5*f + 3*f + 4*f)*(f + f - 3*f))*(-f - 3*f + 2*f) to the form o + w*f + a*f**3 + j*f**2 and give a. -124 Express (-4 - 3 - 2)*(2 - 13 - 22)*(-3*v + 0*v + 5*v) as m*v + f and give m. 594 Rearrange (1 - 4 + 1)*(0*w - 3*w + 4*w) + (-63 + 94 + 70)*(-3*w + w + 3*w) - w - 5*w + 5*w to the form s + c*w and give c. 98 Rearrange (2*f**2 - 10*f**2 - 3*f**2)*(-11 - 8 - 4) to r + v*f**2 + l*f and give v. 253 Express -13 + 9 + 0*j**4 + 3*j**2 - 19*j**3 + 15*j**3 + 2*j**4 as z*j**3 + p*j**4 + t*j + h*j**2 + c and give c. -4 Express (-5 - 117 + 47)*((-3 + 0 + 1)*(-x + 2 - 2) + 1 - 1 + 2*x)*(0 + 3 - 2) in the form v*x + r and give r. 0 Rearrange -2*h**2 + 42*h - 2562 + 2562 + 3*h**2 + 0*h**2 to w + l*h**2 + a*h and give a. 42 Rearrange 0*f - 3*f + 2*f + 11 + 3*f + 23*f**2 - 21*f**2 to the form q*f**2 + s + r*f and give q. 2 Rearrange 22*k - 498*k**2 - 350*k**2 - 49*k + 27*k to the form b*k + p*k**2 + s and give p. -848 Express (0*f**2 + f**2 + 0*f**2)*((3 - 5 + 3)*(-1 + 1 - f) + 24*f + 11*f + 9*f) as k*f**3 + r*f**2 + d + o*f and give k. 43 Express 4 + 3144*o**2 - 1571*o**2 - 2*o - 87*o**4 - 4 - 1572*o**2 in the form a*o**4 + n*o**3 + x + q*o**2 + f*o and give f. -2 Rearrange 70 - 442*o + 19*o**2 + 74 - 144 - 15*o**2 to the form d*o + y*o**2 + b and give y. 4 Express (-2*v**2 + 3*v**2 - 2*v**2)*(-5*v + 3*v - v)*(-2 + 0 - 9) in the form l*v**3 + w*v**2 + p*v + k and give l. -33 Express 1 + 214*i**2 + 0*i - 112*i**2 + 0*i as k*i**2 + b*i + z and give k. 102 Rearrange -15 - 3*d**2 + 0*d**2 - 17*d**3 + 30 - 23*d**3 - 12 to f + o*d**2 + g*d**3 + z*d and give f. 3 Express -10 + 22*t - 47*t + 2*t**2 + 24*t in the form w + q*t + u*t**2 and give u. 2 Rearrange 4*c**3 + 6 - 6*c**3 - 2*c**2 + 2 to w + a*c**2 + u*c + f*c**3 and give a. -2 Express ((4 + 0 - 2)*(-3*g + 5*g - g) - 4 + 4 - g + g - g + g)*(7 - 4 + 1 + (2 + 1 - 5)*(-1 + 1 - 1)) + 4*g - g - 5*g in the form p*g + u and give p. 10 Express 15 - 46 + 29 - 844*x**2 as w*x + k + s*x**2 and give s. -844 Express -1591*p - 12*p**2 + 11*p**2 + 1373*p in the form s + z*p**2 + y*p and give s. 0 Express (-1 - 11 - 1)*((-8 + 8 - 15*s)*(4 - 1 - 1) - 3*s + 4*s + 0*s) as x*s + h and give h. 0 Express (-3*p**2 - 2*p**2 + 3*p**2)*(-p + 0*p + 2*p + (29*p + 34*p + 26*p)*(-2 + 0 + 4)) in the form w*p + x + u*p**3 + i*p**2 and give u. -358 Rearrange (0 - 1 + 0)*(327*a - 46*a + 269*a) to o*a + w and give o. -550 Rearrange 195 - x**2 - 3*x**4 + x**3 - 3*x**3 - x**2 - 204 to b*x + r*x**3 + a + w*x**2 + k*x**4 and give k. -3 Express 7 - 5 - 2*a - 24*a**3 - 19*a**2 + 21*a**2 in the form s + c*a**3 + b*a**2 + p*a and give s. 2 Express (-5*f + 61*f - 10*f)*(-1 + 4 - 2)*(0 + 2 + 0) in the form p*f + y and give p. 92 Express (0 + 0 - 2*i)*(0*i - 6*i + i) - 11*i - 67*i + 1041*i**2 + 78*i in the form l*i + m + d*i**2 and give d. 1051 Rearrange -1071 + 4*x + x**2 - x**2 + 1073 - 2*x**3 to the form a + j*x**3 + i*x**2 + c*x and give j. -2 Rearrange -4*k - 2 + 49 + 3*k + 51 to r*k + l and give l. 98 Express -3 - 2*j + 3183*j**3 - 3170*j**3 + 5*j as g*j**2 + m + d*j + x*j**3 and give m. -3 Rearrange (-2*a - 3*a + 4*a)*(28*a + 17*a**2 - 28*a)*(4 - 4 + a) to j*a**3 + p + b*a**2 + o*a + t*a**4 and give t. -17 Rearrange (4074 - 19*i - 4077 + 76*i)*(2*i**3 + 0*i**3 - 3*i**3) - 1 + 1 + i**4 to the form s + v*i + m*i**4 + c*i**3 + h*i**2 and give m. -56 Rearrange 4*g**3 - 1 - 10*g**2 - 41*g**2 + 66*g**2 - 58*g**2 to the form c*g**3 + l*g**2 + v + b*g and give c. 4 Rearrange 1699*l + 2*l**2 + 1596*l - 4*l**2 - 3679*l to the form u*l**2 + j*l + o and give j. -384 Rearrange 21*f - 17*f - 38*f - 9*f to the form k + r*f and give r. -43 Express (1 - 181*z + 3 + 183*z)*(z**3 - 8*z**3 - z**3) in the form h*z**3 + y*z + m*z**4 + l*z**2 + c and give m. -16 Express 2734*c**2 - 2837*c**2 - 2 + 1508*c**2 as o*c**2 + d + x*c and give o. 1405 Rearrange -60*g - 29*g + 29*g - 106*g to p + t*g and give t. -166 Express (4*f**3 - 5*f**3 + 3*f**3)*(-6 - 6 + 2)*(15*f + 2*f - 4*f) as g*f**3 + p*f**4 + v*f + k*f**2 + c and give p. -260 Rearrange -876*d**3 - 50 + 2*d**2 + 19 + 20 + 13 to q*d**2 + c*d + g + p*d**3 and give q. 2 Rearrange 80 - 2*o**2 - 34 - 44 + o**3 + 62*o to s*o**3 + d*o**2 + r + p*o and give d. -2 Express 3*k - 14*k + 9*k + (k + 2 - 2)*(-19 - 45 + 11) in the form h + i*k and give i. -55 Express -r**3 + 3 - 3 + (97*r + 20*r - 35*r)*(1 + r**2 - 1) as c*r + l*r**3 + z*r**2 + n and give l. 81 Express (d**3 - 2*d**3 - d**3)*(-78 - 33 - 85) in the form g*d**3 + y*d**2 + r + j*d and give g. 392 Express (-6 + 0 + 4)*(1 + 5 - 2)*(-37 + 37 + 3*v) in the form s*v + q and give s. -24 Express -d**3 - 2*d + 2*d**2 - d**3 - 26*d + 2*d**4 + 17*d in the form q*d + r*d**4 + z*d**2 + p + s*d**3 and give q. -11 Express 80*b + 152*b - 1 + 106*b + 1 as a + k*b and give k. 338 Express 2*h**2 + 5 - 69*h**3 - 62*h**3 + 126*h**3 in the form p*h**3 + u + r*h**2 + s*h and give u. 5 Express 0*m**2 - 2*m**2 + m**2 + (9 - 7 + 1 + 45*m)*(-2*m + 0*m - 3*m) in the form f*m + w + y*m**2 and give f. -15 Rearrange -u**3 + 16 + 2*u**2 + 15 + 18 - 50 + 3*u - 6*u**2 to c*u**3 + n*u**2 + o*u + r and give n. -4 Express (0*m - m - m)*(4*m - m - m)*(-m + 5*m - 10*m) - 86*m**3 + 45*m**3 + 37*m**3 in the form b*m**2 + i*m + d*m**3 + j and give d. 20 Express (-160 + 54 - 9 + 39)*((1 + 1 - 4)*(0 - 2*j + 0) - 2*j - 2*j + 6*j) in the form v + h*j and give h. -456 Rearrange -30 - 7*a + 48 + 90 + 3*a to the form u*a + f and give f. 108 Rearrange 114*d - 83*d - 300*d + (-1 - 1 - 1)*(0*d + 3*d - 2*d) to r*d + w and give r. -272 Rearrange (13 + 38 + 81 + 46)*(545 - 545 + 12*j) to the form f + u*j and give u. 2136 Rearrange (2*d + 4*d - 4*d)*(-2*d + 2*d - d**3) - 2*d**4 + 10*d**4 + 2*d**4 - 4*d**4 - 4*d**4 + 7*d**4 to y + s*d + o*d**4 + q*d**2 + w*d**3 and give o. 7 Express (47 - 175 - 69)*(0*n - 3*n + n) in the form b + j*n and give j. 394 Express 11*q + 105*q**2 - 32*q + 11*q + 17*q in the form d*q**2 + t*q + u and give d. 105 Rearrange -176*f + 6*f - 72*f + 69*f to b*f + d and give b. -173 Express -24*j**2 + 3*j - 4*j**3 + j**3 + 26*j**2 + 2 as n*j**3 + q*j**2 + r + g*j and give g. 3 Express -421 + 421 + 4*z**2 + (-3 + 2 + 0)*(5*z - 5*z - z**2) + z**2 + 0*z**2 - 3*z**2 - 2*z**2 + 2*z**2 - z**2 as r*z**2 +
{ "pile_set_name": "DM Mathematics" }
d derivative of x(a) wrt a. 46 Let d(m) = m**3. Let r be ((-8)/16)/((-2)/4). Let x(n) = -6*n**5 + n**3 - 27*n**2. Let g(i) = r*d(i) - x(i). What is the third derivative of g(o) wrt o? 360*o**2 Let s(g) be the third derivative of -g**7/105 - 7*g**6/24 - 88*g**3/3 + g**2 + 1. Find the first derivative of s(m) wrt m. -8*m**3 - 105*m**2 Let z(k) = k**2 - 13*k + 24. Let x be z(15). What is the derivative of 10 - 1 - x*u**3 + 9*u**3 + 18 wrt u? -135*u**2 Let a be -8*(3/(-12) + 0). What is the third derivative of -8*p**2 - 13*p**3 - p**3 + p**a wrt p? -84 Let w = 8 - 6. Differentiate -2*y + w*y - 9*y**2 - 1 + 0*y with respect to y. -18*y Let b(w) be the third derivative of 0*w**3 + 44*w**2 + 0 - 1/70*w**7 + 11/120*w**6 + 0*w**5 + 0*w + 1/4*w**4. What is the second derivative of b(a) wrt a? -36*a**2 + 66*a Let a(y) be the first derivative of -521*y**5/5 + 852*y - 457. What is the first derivative of a(i) wrt i? -2084*i**3 Let i(y) be the first derivative of -y**4/2 - 11*y**3/3 + 47*y**2 - 86. What is the second derivative of i(b) wrt b? -12*b - 22 What is the second derivative of 10*z + 21*z - 12*z**3 - 13*z - 4 + 344*z**3 + 18*z wrt z? 1992*z Let g = -4 + 2. Let z = 6 + g. Find the third derivative of 8*l**2 + 2*l**4 + 2*l**4 - 4*l**2 - 2*l**z wrt l. 48*l Let c(l) = -2*l**3 - 3*l**2 - 3*l. Let a be c(-2). Find the second derivative of a*h**3 + 0*h**3 + 5*h + 5*h**4 - 10*h**3 wrt h. 60*h**2 Let b(q) = 12*q**4 + 5*q**3 + 5*q**2 - 2. Let j(v) = 24*v**4 + 9*v**3 + 11*v**2 - 3. Let a(l) = 7*b(l) - 4*j(l). What is the third derivative of a(z) wrt z? -288*z - 6 Suppose -21 = -4*p + 5*h, p + 0*p - h = 5. Find the second derivative of 59*n**4 - 11*n**5 - 59*n**p - 9*n wrt n. -220*n**3 Let a = 6 - 5. Suppose x - 6 = -a. What is the second derivative of 6*m**5 + 0*m - x*m + 4*m**4 - 4*m**4 wrt m? 120*m**3 Let f = -1 - -5. Let d be 3 + 1 - 1 - -2. Differentiate 3*t + 2 + 4*t - 7*t - d*t**f wrt t. -20*t**3 Let o(h) = -h**3 - 17*h**2 + 23*h + 92. Let s be o(-18). Let v(k) be the first derivative of -4*k - 6 - 9/2*k**s. What is the derivative of v(x) wrt x? -9 What is the second derivative of -42*n + 7*n**3 - 41*n - 106*n - 53*n + 6*n**2 + 3*n**2 wrt n? 42*n + 18 Differentiate 9 + 46 + 135*m**2 - 96 with respect to m. 270*m What is the third derivative of 112 - 513*m**3 - 36 - 39 - 36 + 92*m**2 wrt m? -3078 Let m(h) be the third derivative of -25*h**8/336 + h**5/60 - h**4/8 + 5*h**3/3 + 2*h**2 + 43*h. What is the second derivative of m(r) wrt r? -500*r**3 + 2 Let o(k) = 57*k - 85. Let u(a) = 59*a - 84. Let d(n) = -5*o(n) + 6*u(n). Find the first derivative of d(z) wrt z. 69 Let g(u) be the third derivative of u**6/40 + u**5/4 - u**3/6 + 14*u**2. Find the third derivative of g(o) wrt o. 18 Let k(b) be the third derivative of -25*b**6/8 + 97*b**5/30 - 87*b**2. What is the third derivative of k(w) wrt w? -2250 Let i(h) = -953*h - 280. Let q(x) = -956*x - 279. Let t(w) = -6*i(w) + 5*q(w). Differentiate t(u) with respect to u. 938 Let z(v) = 3*v**3 - v**2 - v - 2. Let t(m) = 518*m**3 - 5*m**2 + 4*m + 3. Let x(s) = t(s) - 5*z(s). Find the second derivative of x(f) wrt f. 3018*f Find the third derivative of 2*d**2 - 23*d + 80*d + 8*d**2 + 111*d**5 + 32*d - 11*d**2 wrt d. 6660*d**2 Let k(f) = 121*f**3 + 6*f**2 - 7*f - 378. Let o(v) = -81*v**3 - 4*v**2 + 5*v + 252. Let z(w) = -5*k(w) - 7*o(w). What is the first derivative of z(s) wrt s? -114*s**2 - 4*s Suppose 0 = -3*k - 11 + 29. Let y(o) = -2*o**3 + 13*o**2 - 5*o + 1. Let h be y(k). What is the third derivative of 6*a**2 - 8*a + a + h*a + 8*a**6 wrt a? 960*a**3 Let h(d) be the first derivative of d**7/210 + d**4/3 - 2*d**3/3 - 4. Let r(k) be the third derivative of h(k). Find the first derivative of r(z) wrt z. 12*z**2 Suppose 10*h + 5*h = 0. Let q(s) be the second derivative of 0*s**4 + 0*s**3 - 3/2*s**2 + 6*s + 3/10*s**5 + h. What is the first derivative of q(o) wrt o? 18*o**2 Let m be 18/4*(-138)/(-207). Let q(y) be the first derivative of 0*y**4 + 1/5*y**5 + 0*y**m + 0*y + 5 + 3*y**2. Find the second derivative of q(n) wrt n. 12*n**2 Let w(t) be the third derivative of 0*t**3 + 0 + 0*t**5 + 0*t + 23/24*t**4 + 3/40*t**6 - 40*t**2. What is the second derivative of w(n) wrt n? 54*n What is the derivative of -42*q**3 + 776 - 1097 - 371*q**3 wrt q? -1239*q**2 Suppose -7*i + 2*i = -65. Differentiate i*o - o + 3 - o with respect to o. 11 Let g(a) = 516*a**2 + 17*a + 5. Let n(p) = -2580*p**2 - 82*p - 24. Let z(i) = -11*g(i) - 2*n(i). What is the second derivative of z(b) wrt b? -1032 Let v(g) be the third derivative of -g**7/210 + 43*g**4/12 + 59*g**3/3 + 6*g**2 - 10*g. Find the first derivative of v(z) wrt z. -4*z**3 + 86 Let f(q) be the second derivative of 0*q**5 + 6*q + 0 + 0*q**2 + 0*q**4 - 7/15*q**6 - 5/6*q**3. Find the second derivative of f(l) wrt l. -168*l**2 Let r(j) = -j**3 - 5*j**2 - 7. Let l be r(-5). Let s = 10 + l. What is the second derivative of -4*x - 2*x**4 + 18*x**3 - 18*x**s wrt x? -24*x**2 Let w(p) = -316*p - 144. Let r(g) = 634*g + 290. Let c(l) = 2*r(l) + 5*w(l). What is the first derivative of c(z) wrt z? -312 Let s(a) be the second derivative of -2*a**3/3 - 2*a**2 - 2*a. Let c be s(-2). What is the second derivative of 0*v - 6*v**3 + 8*v**c + 5*v + 6*v**3 wrt v? 96*v**2 Let o(u) = -1. Let a(k) = 12*k**2 - 28*k + 12. Let v(t) = -a(t) - 2*o(t). Let w(z) be the first derivative of v(z). What is the first derivative of w(d) wrt d? -24 Let w(m) be the second derivative of -3*m**5/10 + m**4/4 - 49*m**3/3 - 2*m + 1. What is the second derivative of w(u) wrt u? -36*u + 6 What is the second derivative of 5*c**3 + 83*c - 24*c**4 + 74*c + 39*c**4 + 4*c**3 - 38*c wrt c? 180*c**2 + 54*c Suppose -3 = -j - 1. Let d = 6 - j. What is the second derivative of -3*y + d*y - 5*y + 4*y**4 wrt y? 48*y**2 Let c(g) = -493*g**3 - 255*g**2 - 11*g. Let y(r) = 165*r**3 + 85*r**2 + 4*r. Let m(k) = 4*c(k) + 11*y(k). Find the third derivative of m(b) wrt b. -942 Let t(u) = -37*u**3 - 4*u**2 - 86. Let b(k) = 36*k**3 + 5*k**2 + 88. Let i(l) = 5*b(l) + 6*t(l). What is the third derivative of i(p) wrt p? -252 Let o = 165 - 163. Let a = -7 - -13. Find the third derivative of b**2 + 2*b**2 + 0*b**2 + b**o - 6*b**a wrt b. -720*b**3 Suppose 42 = m + 32. Suppose 0 = h - 3. What is the third derivative of m*v**5 - h*v**2 - 81*v + 81*v wrt v? 600*v**2 Let q(v) be the second derivative of -v**9/840 - v**5/24 - 13*v**4/12 + 12*v. Let k(z) be the third derivative of q(z). Differentiate k(y) wrt y. -72*y**3 Find the second derivative of -1216*m + 600*m - 5*m**3 + 602*m + 16 + 14*m**5 wrt m. 280*m**3 - 30*m Let q(m) = -m**3 + 3*m**2 - 4*m + 7. Let h be q(2). Find the second derivative of -5*u - 4*u**h - 16*u**3 - 3*u wrt u. -120*u Let y(z) = -627*z**3 - 954*z**2 - 7*z - 1. Let i(b) = 418*b**3 + 635*b**2 + 5*b + 1. Let v(t) = 7*i(t) + 5*y(t). Find the third derivative of v(c) wrt c. -1254 Let q(b) be the second derivative of 231*b**5/5 + 115*b**4/3 - 5*b - 73. What is the third derivative of q(m) wrt m? 5544 Find the third derivative of -30*d + 104*d + 379*d**6 - 2*d**2 + 333*d**6 - 43*d**6 wrt d. 80280*d**3 Find the first derivative of -188 + 13*j**2 + 21*j**2 + 43*j + 20*j + 19*j**2 - 52*j**2 wrt j. 2*j + 63 Let a(y) be the first derivative of -7*y**6/3 + y**4 + 7*y**3/3 + y**2/2 - 8. Find the third derivative of a(m) wrt m. -840*m**2 + 24 Let y(b) = -4*b**4 - b**3 - b**2 - b - 2. Let s(h) = 134*h**4 + 3*h**3 + 2*h**2 + 3*h - 10. Let r(p) = s(p) + 3*y(p). Find the third derivative of r(c) wrt c. 2928*c Let d(g) be the first derivative of 543*g**7/7 - 11*g**3/3 - 4*g + 733. What is the third derivative of d(p) wrt p? 65160*p**3 What is the third derivative of 393*d**2 - 402*d**2 - 18*d**5 + 13 - 25*d**5 wrt d? -2580*d**2 Let j(q) = 2*q - 9. Let n be j(10). Let r(p) = p**2 - 12*p + 13. Let s be r(n). What is the derivative of 17 + 13 + s*y**3 - 43 wrt y? 6*y**2 Let s(q) be the first derivative of 0*q + 0*q**5 - 15*q**2 + 0*q**4 - 13/6*q**6 - 9 + 0*q**3. What is the second derivative of s(z) wrt z? -260*z**3 Let s(p) be the first derivative of 48*p**5/5 + 3*p**2/2 - 2*p + 20. What is the second derivative of s(i) wrt i? 576*i**2 Let x(l) be the second derivative of 0*l**3 + 0*l**7 + 3/56*l**8 + l**4 + 6*l + 0*l**6 + 0*l**2 + 0*l**5 + 0. What is
{ "pile_set_name": "DM Mathematics" }
-3514.7 Multiply -380091.2 and -0.4. 152036.48 What is -12929 times 0? 0 Multiply 0.087 and 0.17108. 0.01488396 Calculate -0.3*-0.037708. 0.0113124 Work out 142 * -0.5524. -78.4408 1 times -69546 -69546 What is the product of -1.5 and 49533? -74299.5 54.3 * -0.169 -9.1767 Calculate 0.03*-4.6743. -0.140229 -0.963*-0.2 0.1926 Work out -0.2 * 1.215. -0.243 -209939*-0.1 20993.9 Multiply -69.564 and 3. -208.692 Calculate -0.0667*-917. 61.1639 -5*0.4629 -2.3145 What is the product of -0.28 and -707? 197.96 Work out 2 * -13570.3. -27140.6 Work out -0.1 * 5089. -508.9 6 * 33764 202584 0.04859 times -162 -7.87158 What is -0.874576 times -0.4? 0.3498304 Calculate 0.03*9273.14. 278.1942 Product of -3 and -191. 573 Work out -10.91 * 4002. -43661.82 -21719*43 -933917 Calculate 4*8.947. 35.788 110 times -597 -65670 Work out -2.6 * -3235. 8411 What is 24016.52 times 1? 24016.52 -77.32 * 108 -8350.56 0.2 times -17358 -3471.6 Work out -4 * -25.8884. 103.5536 What is 0.2 times 31688? 6337.6 Product of -1.05 and 0.6353. -0.667065 -1.974461 * -4 7.897844 Multiply 66.879 and -42. -2808.918 3 times -0.1633 -0.4899 -4 times -220407 881628 Product of 0.4 and -75141. -30056.4 2502*1 2502 Multiply -19.7 and 0.0022. -0.04334 0.136 times 0.0639 0.0086904 Calculate 0.4*-0.18088. -0.072352 What is the product of -127 and -2.92? 370.84 Multiply -454 and -0.021. 9.534 Multiply 0.4 and -24547. -9818.8 132.161 times -15 -1982.415 What is the product of -0.721 and 36? -25.956 What is 0.8295 times -0.01? -0.008295 Work out 0.19 * -38278. -7272.82 Work out -17 * -488. 8296 Work out -1 * -11875. 11875 80.7 * 2016 162691.2 262*-9 -2358 What is 82 times -2.97? -243.54 Multiply 38655 and -5. -193275 1736*29.9 51906.4 What is the product of -0.02624 and 0.28? -0.0073472 20.16 * -890 -17942.4 What is the product of 0.4 and 120601? 48240.4 What is -1.3003 times -0.8? 1.04024 Calculate -15642*0.2. -3128.4 Product of -5 and 1.1805. -5.9025 -0.2 times 29.5992 -5.91984 Work out -1 * 779.63. -779.63 Work out -6.7 * -320. 2144 What is -1757 times 266? -467362 9*1.3875 12.4875 Work out 5 * 30.943. 154.715 Work out -3 * 747371. -2242113 What is the product of -13.63549 and 2? -27.27098 Calculate 0.3*9.682. 2.9046 What is 0.1 times -247.71? -24.771 Multiply -3398 and 0.012. -40.776 -2107.66*-0.6 1264.596 -221 times -0.02 4.42 What is -1 times 35869? -35869 Multiply 0.1 and -106.075. -10.6075 Product of 4 and 19939. 79756 Product of -0.05813 and -21. 1.22073 What is the product of 40.5711 and 4? 162.2844 5*-2209 -11045 -1.241*-41 50.881 Product of -1 and 111800. -111800 0*1525 0 What is -1.4 times 6913? -9678.2 What is the product of -0.8 and -26736? 21388.8 Multiply 7196 and 0.207. 1489.572 Calculate 0.0707*-0.0375. -0.00265125 Multiply -501 and 579. -290079 2186.84 times -4 -8747.36 Work out -3.7 * 110378. -408398.6 1116.5 * 0.06 66.99 -73.42 times 113 -8296.46 What is 669 times 2.25? 1505.25 What is the product of 9143 and 0.01? 91.43 -1249 times 3.844 -4801.156 Calculate 144.7*186. 26914.2 44 * -31.19 -1372.36 -0.52*-12269 6379.88 What is the product of 136 and 1.7302? 235.3072 Product of 0.15 and -0.317. -0.04755 0.056*1711 95.816 -28.0104 * 0.2 -5.60208 0.184 * 3140 577.76 Product of -7090682 and 0.5. -3545341 Work out 10 * 1016.24. 10162.4 0.2*-41.718 -8.3436 Multiply -924829 and 5. -4624145 Product of 61 and 7098. 432978 Product of 815 and -336. -273840 2 * 1.027 2.054 What is -0.25432 times -0.01? 0.0025432 Multiply 0.0622 and 574. 35.7028 What is the product of 15.26 and 156? 2380.56 Work out -0.4 * -237486. 94994.4 Work out 599.6 * -0.06. -35.976 Calculate -1*-71.951. 71.951 What is the product of -181.7 and 8? -1453.6 2*12767 25534 Work out -1472 * -24.5. 36064 What is 10.52 times -15.91? -167.3732 -62*-22371 1387002 Product of 3 and 1193666. 3580998 Multiply 0.902 and -0.749. -0.675598 Multiply -5820 and -12. 69840 Product of 1069.5 and -24. -25668 Work out 5009422 * 3. 15028266 What is 2770 times 454? 1257580 What is -36 times 0.0033? -0.1188 Multiply -241.3 and -0.7. 168.91 Calculate -2531*13. -32903 Work out 0.1 * -5496. -549.6 Calculate 4*-130144. -520576 What is -0.049 times -26893? 1317.757 Calculate -93*81. -7533 What is 339.206 times 0.04? 13.56824 -1856.5 * 5 -9282.5 0.034 * 983 33.422 -0.35*972.5 -340.375 Multiply -2.7 and -1551. 4187.7 -0.3 * -412943 123882.9 -0.2 * 35213 -7042.6 What is 0.17 times -0.08792? -0.0149464 Work out 642 * 33.7. 21635.4 Calculate -3144*0.0259. -81.4296 What is the product of -0.2879 and -11? 3.1669 Calculate 0.003*15172. 45.516 Calculate 0.5*0.06947. 0.034735 Multiply -4658 and -2.6. 12110.8 Multiply -0.1 and 1.0453. -0.10453 11 times -98321 -1081531 -7 * 0.6088 -4.2616 Multiply -3.3 and 0.11486. -0.379038 0.4*-22834 -9133.6 Calculate -0.1075663*-4. 0.4302652 Multiply -20 and 0.2195. -4.39 What is -725.18 times -16? 11602.88 What is the product of 57 and -294.8? -16803.6 What is the product of 0.034299 and -3? -0.102897 -0.059 * -415 24.485 Multiply -0.2 and 18168. -3633.6 7709*-0.2 -1541.8 970*-0.037 -35.89 Work out 9 * 1.00796. 9.07164 Multiply 5 and -224788. -1123940 Multiply -6172083 and 5. -30860415 Product of 1 and 1065259. 1065259 What is 0.5 times -11021? -5510.5 -46321*0.5 -23160.5 Product of -4.32 and 2261. -9767.52 1 times 13.98 13.98 -6*3.475 -20.85 -749 times 130 -97370 Product of 10593 and -27. -286011 Multiply -4 and 3.6556. -14.6224 -400*-298 119200 -79 * -526 41554 Multiply 0 and 4.96871. 0 Multiply -0.14 and -0.3975. 0.05565 Calculate -2*-1.43928. 2.87856 Product of -3 and 24.948. -74.844 2393.7*-0.01 -23.937 What is the product of 0.521798 and 0? 0 Work out 522.6 * -4.55. -2377.83 What is the product of 5 and 21.15? 105.75 Calculate 2*-1.75911. -3.51822 Product of -0.03 and -2561. 76.83 Product of -605 and 6098. -3689290 What is -1.12591 times -19? 21.39229 What is 256 times -14907? -3816192 57 * -0.111 -6.327 What is -0.5 times 184734? -92367 Multiply 103 and -3368. -346904 Calculate 0.2*320467. 64093.4 -20*-41884 837680 -0.2*-29505 5901 What is the product of -0.0321556 and -2? 0.0643112 -189888 times 0.3 -56966.4 -26.2 times -80 2096 Product of 2 and 11867.4. 23734.8 -71.897 * -0.1 7.1897 What is -0.0401716 times -0.06? 0.002410296 -4.566 times -0.22 1.00452 What is 0.1 times 21184? 2118.4 -4241 times -699 2964459 Product of -1 and 191902. -191902 Multiply -0.28 and -3099. 867.72 8.3*-5 -41.5 Calculate -0.18*651. -117.18 Work out 7187152 * 0. 0 -410 times 128 -52480 Work out 4 * -0.088569. -0.354276 4.8 times -94512 -453657.6 -571699*0.5 -285849.5 87 * -2867 -249429 -2.7 * 3746 -10114.2 Product of 2096 and 0.5. 1048 -13 times 23327 -303251 What is the product of 23.955 and 6? 143.73 What is 440460 times 0.1? 44046 -12075.95*0.4 -4830.38 What is the product of 0.084 and 14247? 1196.748 0.3 * 27935 8380.5 856940*-3 -2570820 0.29869 * 0.05 0.0149345 Work out -1564 * -55. 86020 Calculate 2*-5407. -10814 What is 29624 times -0.5? -14812 5875.1 * 0.1 587.51 What is the product of 120589.6 and 0.1? 12058.96 Work out -1 * -917.669. 917.669 8243 * 22 181346 Multiply 7761 and 81. 628641 40955 times 0.24 9829.2 Work out 298.42 * 0. 0 -0.3 * 1.69078 -0.507234 -10*5340.8 -53408 1601*-21 -33621 1.9 times 1005.8 1911.02 What is 0.03119 times -0.25? -0.0077975 -8034*16 -128544 Multiply -0.035 and -0.0964. 0.003374 -4*32188 -128752 Work out 8240.91 * -1. -8240.91 0.1*-299609 -29960.9 What is the product of -14 and 0.932? -13.048 0.3 times -136475 -40942.5 Product of 97335 and 0.3. 29200.5 1.29248 times -0.5 -0.64624 What is 72213.9 times -1.1? -79435.29 Product of -0.267 and -0.02. 0.00534 Multiply 212383 and 0.4. 84953.2 Calculate -1*-25701. 25701 Multiply -2678786 and -5. 13393930 0.022 times 2464 54.208 Product of 9 and 40.455. 364.095 What is 1 times -3570.86? -3570.86 -0.0836 * -1793 149.8948 Multiply 0.2 and -29892. -5978.4 What is -0.1 times 55259? -5525.9 What is the product of -1.1 and 0.01321? -0.014531 Multiply -0.0581 and -16.2. 0.94122 -24.58 * 225 -5530.5 Calculate 0.3*-19.678. -5.9034 What is 1.302 times 0.302? 0.393204 Calculate -2*33.381. -66.762 Calculate 0.22*985. 216.7 8 * 18.2322 145.8576 0.4*-171243 -68497.2 2 times -0.2753 -0.5506 What is 248089 times -5? -1240445 What is -67957 times -0.5? 33978.5 -1 times 121 -
{ "pile_set_name": "DM Mathematics" }
)/c)/c)**(-24)/(c**1/(c**(-8)/c))*(c/c**(2/7))**(-2/21)*(c/((c/(c*((c/c**2)/c)/c))/c))**(-2/7) assuming c is positive. c**(5618/147) Simplify (n**(-3/2)*n**(1/2)*n*n**5/n*n**3)/((n**(-2/7)/n)**(7/5)/((n*n/(n*n**(-6/11)))/(n**1/n))) assuming n is positive. n**(569/55) Simplify ((j**(1/7)/j)/j**(3/8)*j**6*j*((j*j/((j*j*j/j**4)/j))/j*j)/j)/(j**(-5)*j*j**(-4)*(((j/(j/(j/(j**5/j)))*j)/j)/j)/(j/j**(2/3))) assuming j is positive. j**(3545/168) Simplify ((z**(-11/5))**(-35)*(z**(-1/16)*z)**(-4/29))**(-34) assuming z is positive. z**(-151589/58) Simplify (((w/((w**(-6/5)*w)/w))/w)/((w/(w**(-7)/w))/w*w))/(w/(w**1/w*w))**39*w*w**(-2/13)*w*w*(w/(w**(2/9)*w))/w*w**8/(w/(w**(-2/3)/w)) assuming w is positive. w**(-493/585) Simplify (z**(-7/6)*z**(-11)*z*z**(-2/47)/(z/z**(-1/14)))**49 assuming z is positive. z**(-84847/141) Simplify (f**0*f*f**(2/3))**(-27)/(f*f*f**(-10)*f**(-2/7))**40 assuming f is positive. f**(2005/7) Simplify ((m/m**(-4)*m*(m*m**(5/7))/m)**(2/37))**(-11) assuming m is positive. m**(-1034/259) Simplify (f*f**20*f**(2/7)*f**7*f**(3/2))**(-37) assuming f is positive. f**(-15429/14) Simplify ((c**(-2/5)/c**(-14))/((c/((c*(c/((c*c**10/c)/c*c)*c)/c)/c))/(c*c*c**(-22))))**(-2/25) assuming c is positive. c**(164/125) Simplify j/(j/(((j*j*j**(-3/2)*j*j)/j)/j)*j*j)*j*j/j**4*(j**(3/5))**(-7/10) assuming j is positive. j**(-98/25) Simplify (c/(c**(-3)/c)*c/(c*c**(-2/13))*c**(-2/5)*c/(((c**(2/5)/c)/c*c)/c))/(((c*c**(2/3))/c)**21*c*c**2*c**(-1/2)*c) assuming c is positive. c**(-1319/130) Simplify ((h/h**0)**(-4))**(-6/17)*(h/h**(-1)*h)**(-40)/(h**(-8/5)*h**(-9)) assuming h is positive. h**(-9179/85) Simplify (b*b/((b**(-4)*b)/b)*b*b**(-4/7))**15*((b**(1/4))**(2/3))**39 assuming b is positive. b**(1441/14) Simplify ((k**(-2/7))**(-24/11)/(k**1*k)**(-25))/(k*k/(k/((k*k**0)/k))*k/k**5*k*(k**(2/7))**36) assuming k is positive. k**(3260/77) Simplify ((((f/f**33)/f)/f)/f*((f**(-37)/f*f)/f)/f*(f/(((f/(f**(11/8)*f))/f)/f*f*f))/f*f*f**(-19))**29 assuming f is positive. f**(-21025/8) Simplify o**7*o**(1/23)*(o*o*o/o**5)**(-2/129) assuming o is positive. o**(20990/2967) Simplify u**(3/5)*u*(u**(-1/5)*u)/u*(((u/(u**(-2/15)*u))/u)/u)/u**(2/5)*(u**(-1/4)/(u**(-1/5)/u))/((u*u**(-2/17)*u*u*u)/(u**0/u)) assuming u is positive. u**(-979/204) Simplify (c**(-1/2))**43*c/(((c**(1/6)/c)/c)/c)*c*c**(-7)*((c**(-2/3)*c*c)**(-32))**(-11) assuming c is positive. c**(1337/3) Simplify ((((n*n**(1/10))/n)/((n**(-7)*n)/n))/(n**(2/7))**9)/(((n*n/(n*n**(-5)/n))/n)/(n**8/n)*n**(-1/14)/n**3) assuming n is positive. n**(43/5) Simplify ((c/(c*(c/(c*c**5/c)*c)/c*c)*c**(-8))/(c**(-2/7)/(c*c/c**(-2/7))))/((c**(-8)/c)/c*c**(-5/6)/c)**50 assuming c is positive. c**(12374/21) Simplify ((c*c/(c/(c/c**(-2/15)*c)))**(-2/27)*(c**(1/11)/c*c)**(-1/13))**(1/48) assuming c is positive. c**(-13847/2779920) Simplify ((m/(m/(m**0/m)))**(-24))**19/((m/m**(-2/9)*(m/m**(-6))/m)/(m*m**(-6)/m*m**5)) assuming m is positive. m**(4030/9) Simplify ((f/f**(-1))**25/((f/(f*f*f**(-3)/f))/f**(-2)))/(((f*(f/f**4)/f)/f*f*f/f**(-2/3))/((f**6*f)/(f**(-1/3)*f))) assuming f is positive. f**(158/3) Simplify (g*g*(g/(g/g**(-1/2)))/g*g)**(2/35)*(g**2*g*g)/g*g*g**3*(((g*g*g/((g/g**(-4))/g*g*g))/g)/(((g**(-7)/g)/g)/g))**(-5/3) assuming g is positive. g**(-102/35) Simplify (((z**(-1/2)/z)/z)**(-5)*z**(25/3)/((z*z/(z*z**(2/7)*z)*z*z)/z))**(-22/9) assuming z is positive. z**(-9295/189) Simplify (((w**(-2/9)*w)/w)**(-4/9)/(w**(-7)/w**(-4)))/(((w/(w/(w/(w*w*w**(-1/3)*w))))/(w*w**(-1)))/(w*w*w**(-1/2))**(22/9)) assuming w is positive. w**(683/81) Simplify ((t**(-3/2)/(t**(-6)*t*t*t))/(t**(-4)/(t*(t/t**4)/t)))/(t**1*t**(-7)/t)**(-1/4) assuming t is positive. t**(3/4) Simplify (((i*i*i**(-4))/i*i)**(-5/6)*i/((((i**(-16)*i)/i)/i*i)/i)*i/(i*i**(2/27)))**1 assuming i is positive. i**(529/27) Simplify ((j*j/j**(-12))/j*j*j*j/(j**(-2/13)/j)*(j*j**(15/4)*j)**(-6/5))**(-11/3) assuming j is positive. j**(-14663/390) Simplify ((k*k**(2/3)*k)**(-6))**(-12/7)*(k**(-1/2))**(-2/19)*k**(1/7)*k*k*k*k**(-1)/k assuming k is positive. k**(3807/133) Simplify ((y/(y*y**7))/y**0*y**(-1/4)*y**(-1))/(((y*y**(-1))/y)**44/(((y*y*y/(y**(-7)/y))/y)/((y*y**(-1/3))/y))) assuming y is positive. y**(553/12) Simplify q**(-3/5)*q**(-2/5)/q*q*(q/q**6*q)/q*q**(-7)*(q/((q**2/q)/q)*q*q**(-6/7)*q)**(31/4) assuming q is positive. q**(101/28) Simplify ((s**2)**(-1/33))**11/((s*s*s**(-2))**(-2/5))**(-1/37) assuming s is positive. s**(-2/3) Simplify t**(-4/3)*t**(4/29)*t**(-6/7)/t*t**32*t assuming t is positive. t**(18238/609) Simplify (m**(3/2)*m**(-1/2))/((m/(m**(-4)/m))/(m**3*m))*(m/(m**(-1/4)*m*m)*m)/(m**(-1)/m)*m**(-3)/m**(-1/7) assuming m is positive. m**(-45/28) Simplify ((o**(3/2)/o)**35*o**(2/19)*o/(o*o**(-17)))**(-22) assuming o is positive. o**(-14465/19) Simplify (i**(-2)/i*i*i**2)**1/(((((i**(-3/7)/i)/i)/i)/i)/((i*i**(-2))/i)*((i**0/i)/i)/((i*i**(-1/5))/i)) assuming i is positive. i**(148/35) Simplify (r**0)**47/(r**(-3)/(r*(r*r*r**(-3))/r))*((r*r*r**(-1/4)*r*r)/r)**(-35)*r**(-2)*r*r**2 assuming r is positive. r**(-373/4) Simplify t**(-1/9)/(t**(-7/4)/t)*t**(-1/2)/(t**(5/3)/t)*(((t/t**(-1/7))/t)/t)/t*t/(t*t**(-8)/t)*(t*t/t**(1/6))/t**(2/3) assuming t is positive. t**(2465/252) Simplify x**(-2/23)*(x*x/x**(-6))/x*x**(-3)*x**(-5/2)*(x/x**(-4/3))/x**(-2/5)*(x*x*x**1*x)/x**1 assuming x is positive. x**(4931/690) Simplify (((i/i**(2/11))/i)/i**(-2/7))**48*((i/(i*i**(4/5)*i))/(i/(i*i*i**(-6)*i*i)))/(i**(-5)/(i/(i/(((i**(-7)*i)/i)/i)))) assuming i is positive. i**(-1083/385) Simplify ((f/(f**(-1)*f))**(-2/145)/(f*f*(f**(-7)*f)/f*f*f**(-1/3)/f*f))/((f*f**(-2)*f*(f/((f**(-1/2)*f)/f)*f)/f)/(f*f**(3/5)*f**(-2))) assuming f is positive. f**(421/174) Simplify (w*w**(-1)*w**(8/7)/w*((w*(w/(w**0*w))/w)/w)**(-17))/((w**(-6)*w)/(w*w**(-3))*(w*w**(-2/7)/w*w*w)**(-49)) assuming w is positive. w**(729/7) Simplify ((t*t**(-8))/(t*t**1))**(7/3)/(t**(-9)*t**6)**(-4/5) assuming t is positive. t**(-117/5) Simplify ((c**(-7)/c*c*c**(3/8)*c)/(((c*c/((c/(c*c**(-6)*c))/c))/c)/c**(4/5)))/(c**(1/4)/(c**(-13)/c))**(-4/3) assuming c is positive. c**(687/40) Simplify ((((h*h/h**(4/3))/h)/(h*h*h*(h**(-3/20)*h)/h*h))/(h**20*h**22))**23 assuming h is positive. h**(-63733/60) Simplify (q*q**(-10/9))**(-6)/((q*q/(q**2*q)*q)/(q/(q/((q/q**(-1/52))/q)))) assuming q is positive. q**(107/156) Simplify (b/((b/(b/(b*b**(-2/7)*b)))/b))/b**(-1/11)*(b*(b/(b**23/b)*b)/b*b*b*b)/b*b*b/b**(-4) assuming b is positive. b**(-895/77) Simplify ((l/l**(2/3))**(-22))**(-11/4)*l**(4/3)/(l*l/(l/(l/(l*l**(4/3))))*l*l*l*l)*(l*l**7)/l*l/(l/l**0)*l*l assuming l is positive. l**(161/6) Simplify (v**(-11)*v**(-16)*((((v*v**(-1/4))/v)/v)/v)/(v*v/(v**(2/5)*v)))**(-46) assuming v is positive. v**(13731/10) Simplify ((x/(x*x/(x/(x/x**(3/5)*x)))*x**(2/53)*(x/(x/x**(-1/3)))/x*x*x**(-5))**17)**(22/5) assuming x is positive. x**(-1990802/3975) Simplify (((p**(-1))**11/(((p*p**10/p*p)/p*p)/(p/(p**(-3/4)*p))))**(-17))**(-26) assuming p is positive. p**(-18785/2) Simplify (((a*a**(1/7)*a*a)/a)/a**2)**2*(a**(1/6)/a**2)**(-4) assuming a is positive. a**(160/21) Simplify ((((o**(-2/7)/o)/o)/o)/o*(((o*o**(1/23))/o)/o*o)/o)/(o**(-15/2)/(o/(((o**32*o)/o)/o))) assuming o is positive. o**(-8933/322) Simplify ((w*w/(w/w**3))/(w**2/w*w)*(w*w/(w**(-1)/w))**(-21/2))/((w/(w**(-1/2)*w)*w)**41*(w**(-1/4)/w)**(-8/3)) assuming w is positive. w**(-629/6) Simplify (r**(2/5)*r*r*r**(-4/11)/r)**(9/4)*(((r/(r*r/r**(1/4)*r))/r)**(3/5))**(12/13) assuming r is positive. r**(2313/2860) Simplify ((h**(-7)*h*h)/(h*h*h/h**2*h))**45/((h/((h*h/(h/(h*((h/(h*h/(h*h/h**(6/7)*h)))/h)/h)))/h)*h**1/h*h)/(h/(h/h**0))**16) assuming h is positive. h**(-2218/7) Simplify (h**(1/3)/h**(-2/9))**(9/4)/((h**(4/9)/h*h*h/(h**2/h))/(h*h/(h**1*h)*h*h)**43) assuming h is positive. h**(3125/36) Simplify (q/q**22)**(-12/11)/(q**(10/7)*q/(q*q*q**(-10))) assuming q is positive. q**(961/77) Simplify (s**6/(((s*s*s*s**(-6))/s)/s)*s**(-5)*s*(s/s**4)/s)/((s*s*s**(2/15)*s)/s*s*s**(-6)/s)**(13/6) assuming s is positive. s**(512/45) Simplify ((c**(-1/3))**4/(c**(-5)/(c*c*c**(1/2)*c)))/(c**(2/13)*c**10/c)**(2/7) assuming c is positive. c**(355/78) Simplify (i**(-11/6)*i)/i*i*i**(-24)*(i/(i/(i/i**5*i)))**(-25) assuming i is positive. i**(301/6) Simplify ((d**(-2/7))**(-20)/(d**(10/9)*d**9))**(-5) ass
{ "pile_set_name": "DM Mathematics" }
67/4 What is 31683 divided by -6? -10561/2 Divide 120819 by 69. 1751 Calculate -2259 divided by 88. -2259/88 Divide 1242858 by -414286. -3 What is -664664 divided by -4004? 166 -606372 divided by -26 23322 Calculate 10349 divided by -12. -10349/12 -167464 divided by 968 -173 -1703 divided by 46 -1703/46 Divide 4299285 by 859857. 5 Divide -30693 by -2. 30693/2 Calculate -1851844 divided by 7684. -241 Calculate -143511 divided by -1. 143511 What is 1388460 divided by 4? 347115 0 divided by 4250 0 What is -1 divided by -1227? 1/1227 Divide -481592 by -1. 481592 Calculate 65856 divided by 14. 4704 Calculate 19 divided by -226395. -19/226395 Calculate -1027634 divided by 27043. -38 Calculate 465309 divided by -117. -3977 7 divided by 595 1/85 2896390 divided by 5635 514 Divide -889015 by 5. -177803 Calculate -3221528 divided by -3. 3221528/3 What is -265728 divided by -692? 384 What is -1 divided by 36014? -1/36014 113816 divided by -113816 -1 Calculate -64010 divided by 865. -74 Calculate -32760 divided by -156. 210 Calculate -2625779 divided by 481. -5459 Calculate 25710 divided by -17. -25710/17 -6776948 divided by -1694237 4 What is -547560 divided by 13? -42120 Divide -59688 by -3316. 18 Divide -18918 by -6. 3153 Divide 345748 by 1586. 218 What is 2 divided by -2516? -1/1258 74 divided by 2755 74/2755 What is 69496 divided by -1241? -56 What is 66607 divided by 4? 66607/4 Divide 137352 by -708. -194 18413 divided by -1 -18413 Calculate 618 divided by -309. -2 Divide 7048344 by -4. -1762086 What is -1195594 divided by 1387? -862 Calculate 70803 divided by -21. -23601/7 What is -2574420 divided by 4? -643605 Calculate -93975 divided by -2685. 35 What is 24104 divided by -4? -6026 Calculate -70656 divided by 1. -70656 What is -33417 divided by 9? -3713 -69244 divided by 4 -17311 Divide 17540 by 11. 17540/11 What is -11268 divided by -2? 5634 -1437137 divided by 487 -2951 Divide 63 by 18270. 1/290 What is 37306 divided by 21? 37306/21 -34 divided by 2665 -34/2665 What is -2 divided by 83181? -2/83181 Divide 120031 by 120031. 1 29232 divided by -29 -1008 What is -377820 divided by -37782? 10 What is -124952 divided by 4? -31238 Calculate 57720 divided by 104. 555 47 divided by 5198 47/5198 -1674835 divided by -5 334967 Calculate 33228 divided by -468. -71 Calculate -2 divided by -4810. 1/2405 Divide -39390 by -3030. 13 Divide 66780 by -7420. -9 Calculate -30 divided by 301. -30/301 Calculate -6710526 divided by -6. 1118421 What is -239628 divided by -57? 4204 Divide -847105 by -35. 24203 Calculate -1478 divided by 13. -1478/13 Divide -99974 by -1. 99974 What is -7 divided by -15188? 7/15188 What is -38825 divided by -1553? 25 What is 105 divided by 36? 35/12 What is -2153 divided by 272? -2153/272 Divide -1470 by -147. 10 Calculate 1743687 divided by 99. 17613 -13772 divided by 313 -44 Calculate -2291311 divided by -11. 208301 Divide -488521 by -499. 979 What is -9567 divided by -80? 9567/80 3172 divided by 2 1586 Calculate 4029094 divided by -6. -2014547/3 2 divided by 12043 2/12043 What is 217 divided by 194? 217/194 Calculate 1499 divided by -14. -1499/14 Divide 742023 by -3. -247341 What is -382032 divided by -21224? 18 Calculate -4832784 divided by -29832. 162 6 divided by -7734 -1/1289 What is 35744 divided by -16? -2234 Divide 22356 by 972. 23 Calculate 3732792 divided by 51. 73192 What is -8446 divided by -31? 8446/31 Divide 0 by -12268. 0 Calculate 58644 divided by 14661. 4 What is 52766 divided by -12? -26383/6 What is 432996 divided by -3? -144332 What is 625 divided by 408? 625/408 What is -58646 divided by -497? 118 Calculate -3558 divided by -2. 1779 Calculate 65012 divided by 5. 65012/5 What is 2928 divided by 6? 488 Calculate -18 divided by -22505. 18/22505 -270 divided by 45 -6 What is -2547464 divided by 2872? -887 Calculate -338 divided by -13. 26 10152 divided by -1128 -9 Calculate 55489 divided by -2. -55489/2 Calculate 7961 divided by 5. 7961/5 Divide 42810 by 8562. 5 Calculate 45 divided by 674. 45/674 Divide 306714 by 3. 102238 Calculate -164660 divided by -5. 32932 Calculate 18936 divided by 4734. 4 Divide 6 by 31975. 6/31975 Divide -1217010 by -243402. 5 What is 11 divided by 485? 11/485 Divide -1217987 by 29707. -41 Divide 0 by -50681. 0 Calculate 97497 divided by 207. 471 129 divided by -35 -129/35 1 divided by -40 -1/40 Calculate 2346 divided by -5. -2346/5 -48594 divided by -3738 13 What is -228459 divided by -161? 1419 Divide -3088041 by -3. 1029347 What is -39158 divided by -66? 19579/33 Calculate -29 divided by -1036. 29/1036 What is -3152 divided by 69? -3152/69 Calculate -5146328 divided by -2. 2573164 Calculate 124115 divided by 515. 241 1335531 divided by -3 -445177 -2039538 divided by -1019769 2 2077628 divided by 14 148402 What is -56 divided by -1? 56 Calculate 28112 divided by 129. 28112/129 Divide 137 by -297. -137/297 Calculate -501445 divided by 14327. -35 Divide 79088 by -5. -79088/5 -89 divided by 2698 -89/2698 23832 divided by -24 -993 6 divided by 11472 1/1912 What is -3330080 divided by 8? -416260 Calculate 5 divided by -15107. -5/15107 Divide -24704 by -193. 128 Calculate -285888 divided by 4. -71472 What is 11660 divided by -2915? -4 -206330 divided by 41266 -5 What is 0 divided by -118180? 0 Calculate 1956 divided by -379. -1956/379 -48888 divided by 12222 -4 What is 0 divided by 605985? 0 Calculate 3 divided by 10200. 1/3400 What is 3 divided by 59100? 1/19700 Calculate -1153 divided by -191. 1153/191 0 divided by 350725 0 Divide -415 by -14. 415/14 What is 248940 divided by 2305? 108 Divide -39138 by -19569. 2 Calculate -18 divided by 4186. -9/2093 What is -252 divided by 758? -126/379 Calculate 3108 divided by 2. 1554 Calculate 79 divided by -220. -79/220 1684668 divided by 87 19364 Calculate -62342 divided by 4453. -14 What is 8385 divided by -39? -215 Calculate -12944 divided by -8. 1618 What is 20440 divided by 35? 584 Divide 620620 by -455. -1364 Divide -1287396 by -13004. 99 Calculate 358182 divided by -119394. -3 Divide 19725 by -19725. -1 What is 568098 divided by -18? -31561 Divide -1457982 by -963. 1514 Calculate 3 divided by -2042. -3/2042 Calculate -153 divided by -13. 153/13 What is -131096 divided by 2? -65548 Calculate -2602 divided by 18. -1301/9 What is 2592945 divided by -172863? -15 Divide 4509 by 3. 1503 Divide 0 by -232483. 0 Calculate -6465739 divided by 167. -38717 Divide 428 by 209. 428/209 1941530 divided by 388306 5 -865218 divided by 2 -432609 -436905 divided by -87381 5 Calculate -989426 divided by -2. 494713 Calculate -5746485 divided by 5. -1149297 Divide 1 by -19453. -1/19453 -756 divided by -7 108 10 divided by -433021 -10/433021 What is -69510 divided by 331? -210 -53 divided by -1331 53/1331 Calculate -466 divided by 2160. -233/1080 -24960 divided by -4 6240 74288 divided by -4 -18572 3 divided by -11844 -1/3948 Divide -219 by -42. 73/14 What is -40618 divided by 46? -883 What is -366455 divided by -6? 366455/6 Calculate -186 divided by 31. -6 Calculate -5 divided by -50732. 5/50732 What is -91 divided by 13? -7 What is 1869 divided by 1? 1869 Divide -10887 by 57. -191 Divide -1 by 662004. -1/662004 Divide 1 by 102753. 1/102753 What is -239 divided by -53? 239/53 What is 17 divided by 713? 17/713 110400 divided by -10 -11040 Divide 17110 by -6. -8555/3 16470 divided by -8235 -2 Divide -912822 by 6. -152137 576408 divided by -7 -82344 -56 divided by 68429 -56/68429 Calculate -146195 divided by 13. -146195/13 Divide 91944 by 4. 22986 Calculate -63521 divided by -63521. 1 Calculate -273139 divided by 5. -273139/5 Divide -44532 by 9. -4948 Calculate 6068748 divided by -6. -1011458 108 divided by -3718 -54/1859 -26159 divided by -194 26159/194 Divide 2 by 232218. 1/116109 Divide -300866 by 1. -300866 Calculate 6974 divided by 54. 3487/27 Calculate 48960 divided by 3264. 15 9950 divided by 2 4975 182609 divided by 1 182609 Divide -28072 by -8. 3509 4563 divided by -249 -1521/83 Calculate -2 divided by -3345. 2/3345 -3312310 divided by -2 1656155 Divide -134484 by 134484. -1 What is 3469050 divided by 693810? 5 Calculate -705 divided by -103. 705/103 Calculate 2562 divided by -2562. -1 What is 2647 divided by -348? -2647/348 What is 0 divided by -1064? 0 19 divide
{ "pile_set_name": "DM Mathematics" }
equal to -1? False Let z(c) = c**3 - 9*c**2 - 11*c + 9. Let w be z(10). Is 0.3 less than w? False Let t = -3/16 + -171/112. Which is greater: t or -3? t Let w = -65 - -193/3. Let o(z) be the first derivative of -z**3/3 - 3*z**2/2 + 5. Let l be o(-3). Which is greater: w or l? l Let v(z) = 2*z - 1. Let n be v(1). Suppose -2*w = -5 - n. Suppose 0 = -0*j - 3*j + w. Is -2/19 equal to j? False Suppose -2*i + 2*w + 4 = w, -i = -w - 4. Suppose 30 = 2*d - i*d + 5*q, -4*q = 0. Suppose -4*j + f = 6, j = 6*j - 5*f + d. Which is smaller: j or 2/5? j Let f = 2 + -5. Let m = 3 + f. Let p be (-1 - m) + 14/10. Which is smaller: p or 3? p Let v be (-5)/(-12) + 2/8. Let p(y) = y + 7. Let z be p(5). Suppose -b + 9 = 4*o, -3*b - 5*o = -b - z. Is b less than v? False Let h be 105/25 - ((-6)/(-3))/10. Is 8 greater than h? True Let f(z) = -2*z + 23. Let s(v) = v - 11. Let i(y) = 6*f(y) + 13*s(y). Let n be i(7). Which is smaller: n or -1? -1 Let n = 0.2 + -0.4. Which is smaller: n or 6? n Suppose 0 = 88*p - 91*p + 6. Suppose 4*r = c + 19, c = -2*r + 1 + 4. Are r and p equal? False Let r = 11/3 - 41/12. Let a = -0.02 + 0. Which is smaller: r or a? a Let q be (10/(-3))/(1/3). Suppose 0 = -7*k - 65 - 12. Which is smaller: q or k? k Suppose 4*j - 7*q = -3*q + 64, 0 = -5*j + 2*q + 65. Does -1 = j? False Let k = -324 + 4862/15. Which is smaller: -1 or k? -1 Suppose -2*i = -i + 20. Let b be (i/(-3))/(10/(-135)). Let u be (4/(-30))/((-27)/b). Is 1 not equal to u? True Let j = 1114 - 7780/7. Are 3 and j equal? False Suppose 15*m = 22*m - 28. Which is smaller: m or 13/4? 13/4 Let j be 15/(-21) + 2/(-7). Let m = -7 - -21. Let b = m - 15. Is b at most j? True Suppose -4*b - 1 = -5*b. Is b at most as big as -2? False Let f = -48 - -68. Let b be 42/(-35)*f/6. Is -4 < b? False Let x be 5 + (-2)/(-2 - -3). Let p(l) = 2*l**2 - 8*l + 7. Let q(t) = -5*t**2 + 17*t - 15. Let w(b) = -7*p(b) - 3*q(b). Let r be w(-6). Which is smaller: r or x? r Let h = 4.1 + -4.3. Let g be 0/(-1) + (2 - 0). Which is bigger: g or h? g Let u be 68/60 + (-8)/10. Suppose -2*z - 2*a = 8, 4*z + 3*a = 7*a - 56. Is z at least u? False Let n = 0.24 + -0.2. Let f = -0.66 - n. Let p = f + -0.3. Which is smaller: p or 0? p Let z = 372 + -4088/11. Which is greater: -0.1 or z? z Suppose -2*v - 4*a = 32, -6*v + 3*v + 4*a - 8 = 0. Does v = -8? True Let f = 7 - 6.6. Let d = f - 0.8. Do d and -0.1 have different values? True Let l = -0.53 + 13.53. Let o = 65.3 - 53. Let i = o - l. Is i not equal to -0.1? True Let c = 11 + -870/79. Which is bigger: c or 1? 1 Let x be (-12)/8*(-28)/6. Which is smaller: x or 23/4? 23/4 Suppose 199 = -3*t - p, -4*t - 5*p + 0*p = 247. Let b be ((-788)/(-12))/(t/18). Let g = 35/2 + b. Is -1 >= g? False Let a(h) = h**2 - 10*h + 13. Let t be a(9). Suppose 2*y = 4*k, t*k - 24 + 0 = -4*y. Which is smaller: k or 4/3? 4/3 Let m = 13/10 + -3/2. Suppose z + 3*z = 0. Is z > m? True Let l(h) = -h**2 - 9*h - 10. Let q be l(-7). Is 3 greater than q? False Let l(h) = -h**2 - 9*h - 9. Let p be l(-8). Is 3/10 less than p? False Let b = -7 + 5. Let h be ((-5)/(-20))/(b/(-8)). Is h equal to 1? True Let u = -25/39 + 4/13. Let m = -608 - -3012/5. Let a = -186/35 - m. Is u equal to a? False Let l = -6 - -7. Is l < -1/8? False Let q = -7.9 + 1. Let b = q + 7. Is b at most -1? False Let u = 22 - 11. Let x be (-6)/(u/(-2) - -1). Let g(m) = m**3 + 7*m**2 + 6*m. Let s be g(-6). Which is smaller: s or x? s Let r = 1 - -4. Let p = 4 - 2. Let w = r - p. Is w at most 1? False Suppose 1 = a - 2. Suppose 3*x = -z + x + 13, -5*z + a*x = -78. Is z > -1? True Let c = -3 - -1. Is -8 at least as big as c? False Let y = 161 + -22. Let j = y - 976/7. Is j less than or equal to 0? True Let x be (4 - (-4)/(-2))*-1. Let j be 5/75 - x/(-10). Which is smaller: j or 0? j Let r(d) = 2*d - 1. Let n be r(3). Which is greater: 0 or n? n Suppose -5*u + i + 11 = 0, 4*u + u - 3*i = 3. Let z(b) = -b**3 - 2*b**2 - 2*b - 4. Let g be z(-3). Suppose -5*x + g = -4. Do u and x have different values? False Let r = 0 - 1.4. Is -2/7 >= r? True Let s = -46 - -45. Which is bigger: 0.5 or s? 0.5 Suppose x + 4 = 4*q + 18, 8 = -2*x - 4*q. Let f = 57 + -92. Let m be f/(-11) + 4/(-22). Which is greater: m or x? m Let v = 54 - 72. Is -20 bigger than v? False Let y(n) = -n**2 + 9*n - 10. Let t be y(8). Let w be -4 - -2 - 10/t. Does w = 4? False Let k = 0.2 + -7.2. Let h = k - -6. Which is bigger: 2/5 or h? 2/5 Let c(i) = i**2 - 2*i + 1. Let t be c(1). Suppose t = -2*l + 5*l - 3. Is -2/5 smaller than l? True Let o = -17 + 17.1. Which is bigger: o or -1/4? o Let o be (1 - 1) + -1 - -2. Let l = 30 + -18. Let u be (4/6)/(92/l). Which is smaller: u or o? u Suppose 3*j = 5*w + 97, 3*j - 57 = 3*w - 0*j. Is w at least as big as -20? True Let t(m) = m - 13. Let y be t(6). Is y less than -8? False Let y = 4 - 6. Let t be (-1)/((-1)/(-2)*y). Suppose f - 3*i = -4*i + t, -2*i = -3*f - 2. Which is bigger: -4/3 or f? f Let s(q) = -q + 10. Let b be s(7). Suppose -2*l + b*t = 12, 2*l = 2*t + 2*t - 16. Which is smaller: l or -2? -2 Let f = -9 - -4. Let h = -0.2 - 0.8. Let u = f - h. Which is greater: u or -1? -1 Let f = -2 + -1. Let x(w) = w**3 + 4*w**2 + 3*w - 2. Let q be x(f). Let s = q - -4. Do s and 5 have different values? True Let b(h) = h + 3. Let m be b(-3). Let p(t) = t**3 - t**2 - 5*t + 2. Let n be p(3). Suppose 5*i + x - 7 = 6, -n*i + 2*x + 4 = m. Is 2 less than or equal to i? True Let j = -2 + 1. Let p = 416/693 + -12/77. Which is smaller: j or p? j Let i = -19 + 19. Suppose -10*c + 8*c - 2 = i. Is c > 0? False Let w = -3193/10 + 319. Let y = 7/10 + w. Which is greater: y or -2/3? y Let f be 5 + 1*-2*1. Let q be -1 + 0/f + -7. Let j = q - -5. Do -3 and j have different values? False Let n = -180 + 177. Let l = 0.3 - 0.1. Let r = -0.1 + l. Which is greater: n or r? r Let o be 5/5*(3 + -3). Are o and 13 unequal? True Let i = -8 + 6. Let m be (-3)/(-1) - (i + 4). Is -1 < m? True Let u = 4.995 - -0.005. Which is smaller: u or 1/19? 1/19 Let l(z) = -z**2 - 7*z - 5. Let c be (-4)/(-18) - 34/(-9). Suppose 0 = -3*p - 6, -3*p - 15 - 15 = c*w. Let y be l(w). Which is smaller: y or -2/7? -2/7 Let h be (-4)/(-3) - (-10)/15. Suppose -h*r - 9 = -j, -5*r - 2*j - j - 39 = 0. Let b be ((-1)/(-31))/(r/12). Which is smaller: b or 0? b Suppose 4*d + 5*p = -19, -2*d + 5*p + 12 = d. Let y(s) = 3*s + 1. Let n be y(d). Suppose -r = 3*u + 3 - 9, 3*r - u + 2 = 0. Is n <= r? True Let o = 29.8 - 30. Is -3/2 less than o? True Let q = 164 + -157. Suppose 0 = 2*m + 3*m - 30. Which is smaller: q or m? m Let n be ((-9)/126)/((-5)/2). Which is bigger: n or 0? n Let r be ((-13359)/51 - -2) + 2. Let b = r + 258. Suppose -10 = -2*h + 5*q, -4*q = 3*h - 6*q - 4. Which is bigger: b or h? b Suppose 3*m + 5*j + 15 = 0, 4*m + 2*j + 12 = -2*j. Suppose y + 2*y = m. Which is smaller: y or -1/6? -1/6 Let i(n) = -n**3 + 16*n**2 + 16*n - 5. Let r be i(17). Which is smaller: -1 or r? r Suppose -3*u = 3*o + 6, -3*o = 2*o - 5*u - 40. Suppose -o*t + 4 = 2*t + 3*d, 6 = 2*d. Which is greater: t or -1/11? -1/11 Let z(a) = 3*a - 9. Let k be z(6). Let g = 9 - k. Is -1 > g? False Let u = -160 + 124. Which is smaller: -37 or u? -37 Let o = 0.07 - 0.01. Which is smaller: o or 2/9? o Let y = 1.2 - 5.1. Let p = 0.1 - y. Which is bigger: 1 or p? p Let x = -2/21 + -32/105. Which is smaller: x or 4.5? x Suppose -4 + 13 = -3*m. Suppose 13 = b - 4*b - 2*v, 2*b - 5*v - 4 = 0. Are b and m unequal? False Let s be (4/10)/(2/10). Suppose -s*l = -0*l. Let f be 6/(-4)*(-1)/(-3). Do f and l have the same value? False Suppose t = -v - 1, -3 = 3*t + 5*v - 10*v. Let a = -347/220 + -1/44. Is t < a? False Suppose r = -r. Which is bigger: r or 2/33? 2/33 Let p be 8/7 - 1 - 11/77. Is p greater than 6/85? False Suppose 5*t + l + l - 24 = 0, 5*l = -4*t + 26. Suppose t*z = z + 6. Let m = -0.1 - -0.1. Which is greater: m or z? z Let i be ((-2)/(-2))/((-1)/(-2)). Suppose 2 = 2*u - 3*y, -3*u + 1 = i*y - 2. Suppose g - 2 = 2*o - 3, -g - u = 4*o. Is o greater than or equal to 0? True Suppose 4 = 4*j - 2*k - k, -k = -4. Which is smaller: 7 or j? j Let c be ((-100)/8)/((-1)/2). Suppose c = -5*x + 2*n, -4*n + 3 = 5*x - 2. Which is smaller: x or 0? x Suppose 4*l - 6 = l. Let z be 100/(-28) + l + 2. Which is smaller: -0.1 or z? -0.1 Let u = -28 - -48. Suppose
{ "pile_set_name": "DM Mathematics" }
+ 101. What is the remainder when 590 is divided by z(-43)? 29 Calculate the remainder when (-628)/(-16) + 4 + 2 + 204/(-48) is divided by 7. 6 Calculate the remainder when 3904 is divided by 121 - (-12 + (-36)/(-9) + 20). 89 Suppose 5*i = 22*d - 21*d + 9759, -3*d - 3888 = -2*i. Calculate the remainder when i is divided by 115. 113 Suppose 0 = -4*x + 4, -26*x = -4*z - 31*x + 21. Let v be (-150)/4 - (-4)/(-8). Let d = 64 + v. Calculate the remainder when d is divided by z. 2 Suppose 5*w - 25 = 0, 4*w - 8*w = 3*q - 245. Suppose 2*r = -r + q. Let l = -5118 - -5215. What is the remainder when l is divided by r? 22 Suppose -28 = -x - 3*x - 4*n, 35 = 5*x + 3*n. What is the remainder when ((-12)/(-9))/(5/120) is divided by x? 4 What is the remainder when (-91494)/(-126) - (-3 + 110/35) is divided by 122? 116 Let r be ((-8)/6)/(((-8)/3)/(-8)). Let t(j) = j**3 + 6*j**2 + 10*j + 18. Let g(n) = n**2 - 6*n + 17. What is the remainder when g(-6) is divided by t(r)? 9 Let z be (-1 + 0 - 3)/((-11)/11). Let o be 1/z*-1 - 9/(-4). Suppose 11 = 3*n + a, o*n + 2 = -3*a - 0. Calculate the remainder when 6 is divided by n. 1 Calculate the remainder when -2*(-6)/5*(-41)/(2829/(-3335)) is divided by 82. 34 Let q = -5125 - -5346. Calculate the remainder when q is divided by 44. 1 Let g(b) = b + 69. Calculate the remainder when 4159 is divided by g(-29). 39 Suppose -d - 3 + 21 = k, -d + 5 = 0. Let l be 0*((-10)/5)/(-2). Calculate the remainder when k is divided by -10*((-4)/8 + l). 3 Let n(d) be the first derivative of -d**4/4 - d**3/3 - d**2/2 + 21*d - 4. Let y = -2090 - -2129. Calculate the remainder when y is divided by n(0). 18 Let u(j) = 23*j - 134. Let o be u(6). Suppose q - 46 = 5*r, -125 = o*q - 6*q - r. What is the remainder when q is divided by 32? 29 Suppose 3*b + 58 = 319. Let w = b - 45. Calculate the remainder when 119 is divided by w. 35 Let i(w) = -16*w - 13*w**2 + 11*w**2 + 5 + 0*w**2. What is the remainder when i(-5) is divided by 4? 3 Let c(r) = 2*r**3 - 3*r**2 + 26*r + 35. Calculate the remainder when c(5) is divided by 88. 76 Suppose -317*a + 312*a - 2*m = -495, 2*a = -3*m + 187. What is the remainder when a is divided by 24? 5 Suppose -2467 = -18*x + 1457. What is the remainder when 228 is divided by x? 10 Let k(t) = 4*t**3 + 4*t - 8*t**2 + 9*t - 5*t**3 - 4*t. Let y be k(4). Let p = -77 - y. What is the remainder when p is divided by 27? 25 Let v(c) = -13*c - c - 965 + 3*c**2 + 951. Let d be 740/75 - 6/(-45). What is the remainder when v(d) is divided by 49? 48 Let x = -761 + 709. Let s = x + 93. What is the remainder when 80 is divided by s? 39 Suppose -13*g + 30 = -10*g - 3*t, -g = 3*t - 2. Suppose 67*y - 3953 = g*y. What is the remainder when 267 is divided by y? 66 Suppose -3 + 24 = x. Let l(q) = -209*q - 5. Let h be l(-5). What is the remainder when x is divided by h/169 + (-2)/13? 3 Let b(q) = 2*q**2 + 117*q - 2475. What is the remainder when 5882 is divided by b(17)? 86 Let l = 185 + -180. Suppose -l*f + 60 = -0*f + 5*a, f - 4*a = 7. What is the remainder when 21 is divided by f? 10 Suppose -5*w + g = 2*g - 4840, -3*g - 1919 = -2*w. Suppose w*o - 972*o = -395. Calculate the remainder when o is divided by 6. 1 Let g(v) = 20*v**2 + v - 1. Let x be (-8)/10 - 13/65. What is the remainder when g(x) is divided by 7? 4 Let k(w) be the second derivative of -w**3/6 + 9*w**2/2 - 8*w. Let s be k(19). Calculate the remainder when 8 is divided by (-74)/s - (8/20 - 0). 1 Let w = -2849 + 3593. Calculate the remainder when w is divided by 67. 7 Suppose -5*s + 5*t + 170 = 0, -2*s + 27*t + 64 = 26*t. What is the remainder when s is divided by 14? 2 Let t = -4701 - -4725. What is the remainder when 479 is divided by t? 23 Let j be 12/6*(1 + -4). Let q = 25 + j. Let a(y) = -y**2 - 18*y - 10. Calculate the remainder when a(-9) is divided by q. 14 Let c = -1998 - -2009. Let q(v) = 15*v + 4 + 4*v + 3*v - v**2. What is the remainder when q(c) is divided by 16? 13 Let j = -420 - -540. Calculate the remainder when 421 is divided by j. 61 Let r be (187 - 2)*(-3 + -2 + 6). Suppose 95 = 5*p - r. Calculate the remainder when p is divided by 10. 6 Suppose -120*d + 32282 = -12838. What is the remainder when d is divided by 35? 26 Let l be ((-9)/18)/((-2)/28). Suppose -l*y + 10 = -2*y. Suppose -b - a = -y*b + 27, -105 = -4*b + 3*a. What is the remainder when 45 is divided by b? 21 Suppose 8347 = 5*j - 2*z, -3333 = -5*j + 3*j - 5*z. What is the remainder when j is divided by 54? 49 Suppose -25 = d + 4*d. Let g = d + 8. Suppose -8*w + 4*w + 16 = 0, 4*c = g*w + 52. Calculate the remainder when c is divided by 6. 4 Let v(f) = 4*f**3 - 7 - 25*f**2 - 6*f**3 + 24*f**2 + 2*f. What is the remainder when v(-3) is divided by (-2)/(12/33)*-2? 10 Suppose -18 = -16*r + 174. Let c = -53 - -123. Let y = -36 + c. What is the remainder when y is divided by r? 10 Suppose 5*r = 3*j + 577, -227*j = 4*r - 228*j - 456. Calculate the remainder when r is divided by 96. 17 What is the remainder when 486 is divided by (-24)/(-10)*(-1)/(5 + 27/(-5))? 0 What is the remainder when 455 is divided by ((-240)/(-28) - (8 + 1)) + 108/7? 5 Let k(x) = 3*x**2 + 7*x + 24. Let d be k(-8). Let r = d + -104. Suppose -3*c + 529 = 20*c. Calculate the remainder when r is divided by c. 10 Let n(g) = -g**3 - 19*g**2 + 171*g + 3160. What is the remainder when 445 is divided by n(-20)? 25 Suppose -191 = 4*c - q, 5*c - 3*q - 95 = -339. Let r = c - -52. Let i(t) = 2*t**2 - 12*t - 14. What is the remainder when i(8) is divided by r? 3 Suppose 6683*g - 4088 = 6655*g. Suppose 0 = 2*z - 2*j - 34, -2*z + 18 + 4 = 4*j. Calculate the remainder when g is divided by z. 11 Suppose -194862 = -9*x + 12*x. Calculate the remainder when (-2)/15 + x/(-705) is divided by 24. 20 Suppose i - 9*i = -3504. Let q = i + -404. Suppose -2*a = 3*c - 477, -3*a = -8*c + 3*c - 706. Calculate the remainder when a is divided by q. 33 Let d = 1945 - 1933. Calculate the remainder when 1207 is divided by d. 7 Let f = 206 - -102. Suppose -5*t = f - 323. What is the remainder when 16 is divided by t? 1 Let f(r) = r**2 + 3*r - 1. Let w(m) = -534 - 28*m - 548 + 1040. Calculate the remainder when w(-2) is divided by f(2). 5 Let j = -18 + 34. Let t(d) = 8*d**2 - 2*d + 2. Let b be t(4). Suppose 0 = 10*a + b - 882. What is the remainder when a is divided by j? 12 Calculate the remainder when 1813/111*(-15)/(-7) is divided by 22. 13 Let q = 18 - 1. Suppose -2*y = 3*a + 3, -2*a - 2*a - 3 = 3*y. Suppose -y*x - 119 + 317 = 0. Calculate the remainder when x is divided by q. 15 Let b be -1 + 1 - (-5 + 1). Suppose 287 = b*x + 5*j, 5*x = j - 3*j + 363. Let z = -44 - -63. What is the remainder when x is divided by z? 16 Let z(l) = -3*l**3 - l**2 + 4*l - 1. Let x be z(3). Let s = 152 + x. Suppose 4*k + 4 = -j + 3, 5*j = -k + 90. Calculate the remainder when s is divided by j. 16 Suppose -z + 7 = 4, 2*z + 69 = 3*o. Suppose 0 = o*p - 67 - 58. What is the remainder when 8 is divided by p? 3 Suppose 29*l - 273 = 16*l. Let j = 185 - 61. Calculate the remainder when j is divided by l - -3*49/(-21). 12 Let r = -3715 + 4021. Calculate the remainder when 929 is divided by r. 11 Suppose 0 = -3*f - w + 3*w + 616, 3*f = -3*w + 636. Let d(i) = i**3 + 11*i**2 - 33*i - 38. Calculate the remainder when f is divided by d(-13). 49 Suppose 4*h = -2*c + 74, -171*c + 2*h = -169*c - 44. Calculate the remainder when 1599 is divided by c. 6 Suppose i + 237 = 5*f, i + 120 = 118. Calculate the remainder when 639 is divided by f. 28 Let x(d) = 2*d**2 + 14*d + 14. Let m = -39 - -28. Let c = -30 + 56. Calculate the remainder when x(m) is divided by c. 24 Let z(s) = 2*s**2 + 41*s - 240. Let q(f) = 98*f**2 - 3*f + 3. Calculate the remainder when q(2) is divided by z(6). 77 Suppose -2*f + y - 1277 = 0, -29*f = -27*f + 2*y + 1280. Let z = -500 - f. Calculate the remainder when z is divided by 36. 31 Suppose 10*g + 160 = 20*g. Let i be 28/5 + g/40. Suppose -s + i + 10 = 0. What is the remainder when s is divided by 6? 4 Let t(o) = -1 + 19 + 76*o**2 - 12*o - 78*o**2. What is the remainder when 615 is divided by t(-5)? 27 Suppose -3*x = -r + 5467 - 2645, -15 = -3*x. What is the remainder when r is divided by 1416? 5 Let l(w) = -26*w**2 - 45*w - 29*w**2 + 89*w**2 + 91 - 33*w**2 + 3. Calculate the remaind
{ "pile_set_name": "DM Mathematics" }
03 Round -0.01483764 to 4 decimal places. -0.0148 What is -0.0003766139 rounded to 6 dps? -0.000377 Round -3.029399 to 2 decimal places. -3.03 Round 17.3320435 to one dp. 17.3 What is 1693.88 rounded to the nearest one hundred? 1700 Round -0.0005600455 to 7 decimal places. -0.00056 Round 1401.2195 to the nearest ten. 1400 Round 197.368 to the nearest ten. 200 Round 30.32 to the nearest 10. 30 Round 5.33522 to 1 dp. 5.3 What is -0.00006234362 rounded to 7 dps? -0.0000623 What is 1288.803 rounded to the nearest 100? 1300 What is -0.924231 rounded to three dps? -0.924 Round -6458420 to the nearest 10000. -6460000 What is -0.452086 rounded to four decimal places? -0.4521 What is 9.413103 rounded to one dp? 9.4 What is -14365318 rounded to the nearest ten thousand? -14370000 Round -0.0000469482 to seven decimal places. -0.0000469 What is 2691160 rounded to the nearest 10000? 2690000 What is -3225621 rounded to the nearest 10000? -3230000 Round -0.00587767 to three dps. -0.006 Round 19.6435 to the nearest integer. 20 What is -345.7486 rounded to the nearest integer? -346 What is -0.8976 rounded to the nearest integer? -1 Round -0.5367757 to one dp. -0.5 Round 0.0688356 to 3 dps. 0.069 What is 0.0000817697 rounded to 5 dps? 0.00008 Round 0.01072556 to four dps. 0.0107 Round 0.076716 to 3 dps. 0.077 What is 0.000011840658 rounded to six decimal places? 0.000012 What is -0.001084042 rounded to 6 decimal places? -0.001084 Round 1079031.2 to the nearest one hundred. 1079000 Round 0.1562465 to 2 dps. 0.16 Round -0.03085819 to three decimal places. -0.031 Round 0.000001833362 to six dps. 0.000002 Round -70811991 to the nearest ten thousand. -70810000 Round -25106969 to the nearest one hundred thousand. -25100000 What is 0.0007871898 rounded to 5 decimal places? 0.00079 Round -0.0167219 to three dps. -0.017 What is 50201.814 rounded to the nearest 1000? 50000 Round -0.0010828857 to seven dps. -0.0010829 Round 0.0000212513 to seven dps. 0.0000213 What is 0.000000107165 rounded to 7 dps? 0.0000001 Round 66163.15 to the nearest one thousand. 66000 What is -6.073799 rounded to 2 decimal places? -6.07 What is 844.9604 rounded to the nearest integer? 845 Round 0.000000453367 to 7 decimal places. 0.0000005 What is -1064138.4 rounded to the nearest one hundred thousand? -1100000 Round 22895.37 to the nearest 100. 22900 Round 7.6795 to 2 decimal places. 7.68 What is 0.01946014 rounded to 3 dps? 0.019 What is 0.007813473 rounded to 5 dps? 0.00781 What is 2785.055 rounded to the nearest ten thousand? 0 What is 588906470 rounded to the nearest 100000? 588900000 What is -0.0520728 rounded to 2 decimal places? -0.05 Round 24079910 to the nearest 100000. 24100000 What is 1510343000 rounded to the nearest one hundred thousand? 1510300000 What is 62.99426 rounded to the nearest 10? 60 What is 0.2336275 rounded to 3 decimal places? 0.234 Round 0.0010885269 to 5 decimal places. 0.00109 Round -0.0029518 to five decimal places. -0.00295 What is 49541000 rounded to the nearest 1000000? 50000000 What is -1354572 rounded to the nearest one hundred thousand? -1400000 Round 2879477 to the nearest ten thousand. 2880000 What is 0.002986233 rounded to three dps? 0.003 What is -195343.3 rounded to the nearest 100000? -200000 What is 114.19839 rounded to the nearest 10? 110 What is -16712.66 rounded to the nearest ten? -16710 What is -365044 rounded to the nearest 10000? -370000 What is -32.4378 rounded to the nearest integer? -32 Round -2545.0519 to the nearest one hundred. -2500 What is 12.3758 rounded to one decimal place? 12.4 Round 0.07105798 to 3 decimal places. 0.071 What is 0.00551135 rounded to four decimal places? 0.0055 What is -3637540 rounded to the nearest one hundred thousand? -3600000 Round 45027.59 to the nearest ten. 45030 Round -3179.627 to the nearest 10. -3180 Round 3641.778 to the nearest one thousand. 4000 Round 293.8243 to the nearest ten. 290 Round 5233.553 to the nearest 10. 5230 What is 0.0000222116 rounded to five decimal places? 0.00002 Round -56.34773 to the nearest integer. -56 What is 4223972 rounded to the nearest one thousand? 4224000 What is -0.000474442 rounded to five decimal places? -0.00047 Round 42075868 to the nearest 10000. 42080000 What is 7966 rounded to the nearest 1000? 8000 What is -3.832662 rounded to 2 decimal places? -3.83 What is -0.0001031379 rounded to 6 decimal places? -0.000103 Round -1071851 to the nearest ten thousand. -1070000 What is 0.000183959 rounded to 6 decimal places? 0.000184 Round -0.0001117549 to six decimal places. -0.000112 Round 0.000448912 to six decimal places. 0.000449 What is 7539240 rounded to the nearest one million? 8000000 Round 0.0259797 to three decimal places. 0.026 What is -40438900 rounded to the nearest one hundred thousand? -40400000 Round 0.00000618777 to 6 dps. 0.000006 Round -0.18786874 to 3 dps. -0.188 Round -1034.468 to the nearest one thousand. -1000 What is -6675100 rounded to the nearest one hundred thousand? -6700000 What is 153413 rounded to the nearest one hundred thousand? 200000 What is 214500 rounded to the nearest 10000? 210000 What is 1.30253 rounded to three decimal places? 1.303 Round 0.0006562384 to five dps. 0.00066 Round -0.0000003763224 to 7 decimal places. -0.0000004 What is 700241000 rounded to the nearest one million? 700000000 What is -44.2937 rounded to the nearest integer? -44 What is -14873.56 rounded to the nearest one thousand? -15000 Round -1.260025 to three dps. -1.26 What is -0.0310233 rounded to 2 decimal places? -0.03 Round 8189200 to the nearest 1000000. 8000000 Round -1.0850763 to 3 dps. -1.085 Round -2965340 to the nearest ten thousand. -2970000 Round 577200 to the nearest 10000. 580000 Round -524687.68 to the nearest 1000. -525000 Round 2640770 to the nearest 10000. 2640000 Round -0.00011641984 to seven decimal places. -0.0001164 Round 0.000185262 to 4 dps. 0.0002 Round 40072300 to the nearest 100000. 40100000 Round 0.0002546181 to four decimal places. 0.0003 Round -0.3396057 to 2 decimal places. -0.34 Round 0.0002317143 to 6 decimal places. 0.000232 What is -39313982 rounded to the nearest one hundred thousand? -39300000 What is -0.00003150363 rounded to four decimal places? 0 Round -0.00003217461 to six dps. -0.000032 Round 25750770 to the nearest 1000000. 26000000 What is 0.0000296122 rounded to seven decimal places? 0.0000296 What is 0.57864 rounded to 2 dps? 0.58 What is 3.4909 rounded to 1 decimal place? 3.5 What is 12153276800 rounded to the nearest one million? 12153000000 What is -0.0003436077 rounded to five dps? -0.00034 What is 3648.85 rounded to the nearest 100? 3600 What is 167859610 rounded to the nearest ten thousand? 167860000 What is 1734.41 rounded to the nearest ten? 1730 Round 0.0524336 to 2 dps. 0.05 What is -1.073303 rounded to 3 dps? -1.073 Round -10886.321 to the nearest 1000. -11000 Round 60188.1 to the nearest 10000. 60000 Round -7709116 to the nearest 100000. -7700000 Round -0.3088882 to three decimal places. -0.309 What is 0.808757 rounded to two dps? 0.81 What is -0.00000124606 rounded to 7 dps? -0.0000012 Round 415832000 to the nearest 1000000. 416000000 Round -9634070 to the nearest 100000. -9600000 Round 267877 to the nearest 1000. 268000 Round 0.000008910473 to 7 dps. 0.0000089 What is 15882888 rounded to the nearest 1000000? 16000000 Round -422686500 to the nearest one million. -423000000 What is -0.00001233361 rounded to six decimal places? -0.000012 What is -0.000282359 rounded to 3 dps? 0 Round -377.0923 to 1 dp. -377.1 What is -0.064609 rounded to two dps? -0.06 Round -6634083.9 to the nearest 1000000. -7000000 Round 15.6841 to the nearest integer. 16 What is 2143473.2 rounded to the nearest one thousand? 2143000 What is 2.747198 rounded to one dp? 2.7 What is 0.000000232626 rounded to 7 decimal places? 0.0000002 Round -0.0000782311 to 5 decimal places. -0.00008 What is -651782.2 rounded to the nearest 1000? -652000 What is 0.8004143 rounded to 3 dps? 0.8 What is -3473.3 rounded to the nearest 10000? 0 What is 0.0035158956 rounded to six dps? 0.003516 What is -14271300 rounded to the nearest 1000000? -14000000 Round -4267.769 to the nearest one thousand. -4000 Round 3744310 to the nearest 100000. 3700000 Round 1720.8868
{ "pile_set_name": "DM Mathematics" }
10? 130 What is the highest common factor of 55 and 55? 55 What is the highest common factor of 64 and 22784? 64 Calculate the greatest common divisor of 184 and 460. 92 What is the greatest common divisor of 403 and 31? 31 Calculate the greatest common factor of 2678 and 91. 13 What is the highest common divisor of 63 and 84? 21 What is the highest common divisor of 5928 and 52? 52 What is the greatest common divisor of 80 and 140? 20 What is the greatest common factor of 12184 and 8? 8 What is the greatest common divisor of 240 and 1700? 20 What is the highest common divisor of 672 and 21? 21 What is the greatest common factor of 87 and 4002? 87 What is the greatest common divisor of 235 and 12361? 47 What is the highest common factor of 126 and 2898? 126 What is the highest common divisor of 154 and 1463? 77 What is the highest common factor of 1241 and 219? 73 What is the highest common divisor of 50 and 725? 25 Calculate the greatest common factor of 1192 and 24. 8 What is the greatest common factor of 1168 and 16? 16 What is the highest common divisor of 302 and 29747? 151 What is the highest common divisor of 235 and 15? 5 What is the greatest common factor of 200 and 350? 50 What is the highest common factor of 2780 and 20? 20 Calculate the greatest common divisor of 23 and 27. 1 What is the greatest common divisor of 7139 and 77? 11 What is the highest common factor of 15792 and 32? 16 What is the highest common factor of 174 and 290? 58 Calculate the greatest common factor of 425 and 75. 25 What is the highest common factor of 16 and 1184? 16 What is the greatest common divisor of 185 and 9065? 185 Calculate the greatest common divisor of 168 and 728. 56 Calculate the greatest common factor of 2673 and 81. 81 What is the highest common factor of 69 and 46? 23 What is the highest common factor of 11 and 10703? 11 Calculate the greatest common factor of 775 and 25. 25 What is the highest common divisor of 112 and 42? 14 Calculate the highest common factor of 4 and 418. 2 Calculate the greatest common divisor of 768 and 72. 24 Calculate the greatest common divisor of 3376 and 5486. 422 Calculate the highest common divisor of 651 and 336. 21 What is the highest common factor of 10 and 34? 2 Calculate the highest common factor of 444 and 777. 111 What is the highest common factor of 58 and 5858? 58 Calculate the highest common factor of 11286 and 1386. 198 Calculate the greatest common factor of 1738 and 22. 22 What is the highest common divisor of 295 and 2596? 59 Calculate the highest common factor of 157 and 1. 1 Calculate the highest common divisor of 266 and 76. 38 What is the greatest common divisor of 26 and 4550? 26 What is the greatest common factor of 1080 and 918? 54 What is the greatest common factor of 70 and 1510? 10 Calculate the greatest common divisor of 204 and 8. 4 Calculate the highest common factor of 5258 and 11. 11 Calculate the greatest common factor of 63 and 7. 7 Calculate the highest common divisor of 58750 and 25. 25 What is the highest common factor of 16 and 148? 4 What is the highest common divisor of 760 and 200? 40 Calculate the greatest common divisor of 576 and 160. 32 What is the highest common factor of 1886 and 820? 82 What is the highest common factor of 730 and 20? 10 What is the greatest common divisor of 1826 and 83? 83 Calculate the highest common factor of 37 and 962. 37 What is the greatest common factor of 1881 and 18? 9 What is the greatest common divisor of 26 and 1898? 26 Calculate the highest common factor of 2544 and 30. 6 What is the greatest common factor of 21 and 651? 21 What is the highest common factor of 85 and 43265? 85 What is the greatest common divisor of 12 and 1362? 6 What is the highest common factor of 39 and 117? 39 Calculate the greatest common divisor of 136 and 8. 8 What is the greatest common factor of 1071 and 315? 63 Calculate the highest common divisor of 75 and 275. 25 Calculate the highest common divisor of 2 and 538. 2 What is the greatest common factor of 231 and 429? 33 Calculate the greatest common divisor of 759 and 69. 69 What is the greatest common factor of 9 and 3? 3 Calculate the highest common divisor of 59 and 7198. 59 Calculate the greatest common divisor of 4016 and 16. 16 Calculate the highest common factor of 204 and 187. 17 Calculate the highest common factor of 414 and 144. 18 Calculate the greatest common divisor of 8 and 4152. 8 Calculate the greatest common divisor of 13 and 24713. 13 Calculate the highest common factor of 6 and 2334. 6 What is the highest common factor of 8 and 659? 1 Calculate the highest common factor of 1620 and 285. 15 Calculate the highest common factor of 156 and 26. 26 What is the greatest common factor of 38 and 2? 2 Calculate the highest common factor of 55 and 407. 11 What is the greatest common divisor of 396 and 3861? 99 Calculate the highest common divisor of 24 and 1470. 6 What is the highest common factor of 720 and 90? 90 What is the highest common factor of 336 and 7? 7 What is the greatest common factor of 1842 and 6? 6 What is the greatest common factor of 192 and 540? 12 Calculate the highest common divisor of 41 and 8159. 41 What is the highest common divisor of 231 and 154? 77 Calculate the greatest common divisor of 343 and 49. 49 Calculate the greatest common factor of 8 and 2. 2 What is the highest common divisor of 5005 and 154? 77 What is the greatest common factor of 1564 and 1088? 68 Calculate the greatest common divisor of 578 and 238. 34 What is the greatest common factor of 304 and 16? 16 What is the greatest common divisor of 33 and 143? 11 Calculate the greatest common factor of 18634 and 112. 14 What is the highest common divisor of 39 and 20553? 39 What is the greatest common divisor of 691 and 8? 1 What is the highest common divisor of 76 and 5263? 19 Calculate the greatest common divisor of 147 and 903. 21 What is the highest common factor of 4251 and 218? 109 What is the greatest common divisor of 9702 and 66? 66 What is the greatest common factor of 6 and 2154? 6 Calculate the highest common factor of 663 and 21. 3 Calculate the highest common divisor of 1458 and 18. 18 Calculate the highest common factor of 1849 and 129. 43 What is the greatest common factor of 2000 and 250? 250 Calculate the greatest common divisor of 105 and 13615. 35 What is the highest common factor of 1911 and 63? 21 What is the greatest common factor of 511 and 14? 7 What is the highest common divisor of 354 and 6? 6 What is the greatest common factor of 46 and 5336? 46 What is the highest common divisor of 8 and 54? 2 What is the greatest common divisor of 11 and 3817? 11 What is the greatest common divisor of 850 and 25? 25 What is the greatest common divisor of 680 and 100? 20 What is the greatest common divisor of 792 and 40? 8 What is the greatest common factor of 15 and 303? 3 What is the greatest common factor of 2304 and 18? 18 Calculate the highest common factor of 5696 and 192. 64 Calculate the greatest common divisor of 38 and 608. 38 What is the highest common factor of 249 and 415? 83 Calculate the highest common divisor of 20 and 60. 20 What is the greatest common factor of 3059 and 92? 23 Calculate the greatest common divisor of 312 and 8. 8 Calculate the greatest common divisor of 2694 and 6. 6 Calculate the highest common divisor of 483 and 84. 21 What is the greatest common factor of 243 and 63? 9 What is the greatest common factor of 152 and 418? 38 What is the highest common factor of 20 and 640? 20 Calculate the greatest common factor of 40 and 1080. 40 Calculate the highest common divisor of 4386 and 153. 51 What is the highest common divisor of 117 and 26? 13 Calculate the highest common factor of 292 and 292. 292 What is the greatest common factor of 23 and 138? 23 What is the highest common divisor of 162 and 108? 54 Calculate the greatest common factor of 22 and 418. 22 What is the greatest common divisor of 27 and 333? 9 What is the greatest common divisor of 23552 and 46? 46 Calculate the greatest common factor of 51 and 2006. 17 What is the highest common factor of 51 and 187? 17 What is the greatest common divisor of 33 and 440? 11 Calculate the highest common factor of 1927 and
{ "pile_set_name": "DM Mathematics" }
-0.4 * 0.3208 -0.12832 Work out -0.06 * 162.3. -9.738 -234.9 times 0.24 -56.376 What is the product of 229.5942 and 0.5? 114.7971 What is -1957 times -491? 960887 Multiply 0.06 and -1534. -92.04 Product of 0.2 and -694693. -138938.6 Multiply -89.591 and -0.4. 35.8364 Work out 56044 * -3.3. -184945.2 0.0293703 * -2 -0.0587406 Product of 0.59 and 3.46. 2.0414 What is the product of 6 and -62249.1? -373494.6 638 times -24.7 -15758.6 What is the product of 5 and -94078? -470390 Work out 0.5 * -15.8. -7.9 Calculate -202*3106. -627412 -11 times -80647 887117 Calculate -66887*-0.1. 6688.7 -0.07 * -23651 1655.57 Calculate 1.9*4850. 9215 -19.3018*-0.1 1.93018 Multiply 2 and 0.221. 0.442 What is -118 times -0.025? 2.95 Multiply -35 and 368. -12880 2.031*-0.4 -0.8124 Calculate -12.35*0.254. -3.1369 Work out 0.072 * -26275. -1891.8 -181.9*-28 5093.2 Calculate -320304*0.05. -16015.2 Work out 22.389 * 6. 134.334 Product of -0.044 and 3.71. -0.16324 What is 465 times -0.03262? -15.1683 -4435 * -0.067 297.145 0*455905 0 2183 * 52 113516 Calculate -97435*-0.5. 48717.5 -178.171*3 -534.513 What is 1 times -356459? -356459 Product of 58 and 10.049. 582.842 -0.1 times 8237.71 -823.771 Calculate -0.12408*16. -1.98528 58*-7690 -446020 -0.9 * 0.18957 -0.170613 Multiply -343 and -0.76. 260.68 -6.90349*0.4 -2.761396 0.653 times 0.0139 0.0090767 Multiply 136.6 and 4.2. 573.72 5 * 350.52 1752.6 -5 times -119801 599005 What is 0.0155 times 0.3? 0.00465 What is the product of -189 and -125? 23625 Work out 0.0792784 * 0.4. 0.03171136 Product of -404 and 28.3. -11433.2 -9 times -300.5 2704.5 Calculate 161*0.837. 134.757 -1241.5 times 3 -3724.5 What is 197 times 2166? 426702 Work out -4 * -1.01191. 4.04764 -2.63835 times 0.8 -2.11068 Product of 3 and 59812. 179436 Calculate 132.831*12. 1593.972 Multiply 1.90948 and -0.2. -0.381896 -27 times -24.333 656.991 -15.7*0.0129 -0.20253 Multiply -56167 and 9. -505503 -0.05562 times 1.12 -0.0622944 -8 times -2.59 20.72 What is the product of 0.7 and -6884? -4818.8 0.07 * -0.0416401 -0.002914807 What is -3 times 8456? -25368 What is the product of -65 and 8431? -548015 What is the product of -2 and 580960? -1161920 -6622*0.19 -1258.18 -66.73917*0.1 -6.673917 What is the product of -153 and -0.3877? 59.3181 Multiply 52.4 and -6.314. -330.8536 0.30768 * 7 2.15376 31911 * -5.7 -181892.7 What is the product of 0.4 and -9421? -3768.4 -225 * -0.12 27 Calculate -76*98.46. -7482.96 -89.486*-0.17 15.21262 What is the product of -1 and 1.486632? -1.486632 What is 0.66552 times 0.3? 0.199656 What is the product of -0.0484 and 8? -0.3872 Work out -0.0151 * -0.04. 0.000604 What is 71139 times -0.7? -49797.3 -0.3 times 0.8012 -0.24036 35 times 17.442 610.47 Multiply 13.6748 and -24. -328.1952 -3923.738 times -5 19618.69 Calculate 29329*-1.6. -46926.4 Product of -112 and 102. -11424 Calculate 0.03*-0.136028. -0.00408084 -0.089 * 456 -40.584 Work out 40620 * 3. 121860 -53*6.39 -338.67 Product of 1 and -2014. -2014 What is -2.3 times 3.3? -7.59 Calculate 0.5*1.217926. 0.608963 Calculate 4*0.29859. 1.19436 21504*-0.3 -6451.2 Product of 0.099495 and -41. -4.079295 Calculate -665*0.064. -42.56 Work out -0.179098 * 4. -0.716392 What is 7 times 9868? 69076 73138 * -18 -1316484 0.151 times 0.16974 0.02563074 Calculate 4439*19. 84341 Product of 19639.9 and -0.3. -5891.97 Calculate -2537*-62. 157294 2.5891 times 4 10.3564 0 * 87857.1 0 Multiply -15545 and 21. -326445 What is the product of -4 and -837258? 3349032 -0.3 * 0.2205 -0.06615 -2.087*-2.7 5.6349 Work out -0.1 * 397957. -39795.7 4*70 280 What is 5 times -130975.6? -654878 Multiply 16 and -105605. -1689680 Work out -0.3 * -4.56. 1.368 What is the product of -0.1026945 and 0.2? -0.0205389 0.1506 times -0.052 -0.0078312 Multiply 1 and -106378. -106378 61.3 times 0.855 52.4115 Multiply 33 and 1.524. 50.292 Calculate 43.9*73.5. 3226.65 What is the product of -3.1175 and -1? 3.1175 What is the product of 0.5 and 1.58694? 0.79347 Work out 97971.38 * 0.3. 29391.414 1235.81 * 0.3 370.743 What is 20.8 times 203? 4222.4 What is -11 times 4043? -44473 Calculate -0.2*-20179. 4035.8 What is the product of 0.2 and 0.05309? 0.010618 Work out 1.3 * -1.816. -2.3608 -13.4818 * -0.5 6.7409 What is 89 times 1.6545? 147.2505 0.2 times -7.7036 -1.54072 Work out 551086 * 0.5. 275543 0.1 * -0.14998 -0.014998 Calculate -0.45*14402. -6480.9 Work out 2 * -7971. -15942 Multiply -66 and -0.17466. 11.52756 -19.961 * 0.1 -1.9961 Calculate 4*92.9801. 371.9204 Multiply 7 and -35.56. -248.92 -313 * 11.304 -3538.152 0.3 times -1692816 -507844.8 Product of -159 and -65.7. 10446.3 What is the product of -462 and -0.937? 432.894 10.021 * 0 0 What is 0.05 times 397737? 19886.85 What is 2 times 334871? 669742 What is 11 times 201.245? 2213.695 5.9013 times -4 -23.6052 Calculate -3.4*0.04688. -0.159392 -10*2442 -24420 Multiply -0.3 and 53.038. -15.9114 Product of 4838 and 0.373. 1804.574 Product of 0.57 and -9004. -5132.28 -20.9 times -186 3887.4 496091 * -0.3 -148827.3 What is the product of -1.9 and 1.114? -2.1166 0.062*-1.53 -0.09486 0.241*324 78.084 Product of -10 and -238.705. 2387.05 945 * -1.27 -1200.15 18846 times 0.14 2638.44 Work out 0.0402 * -0.04. -0.001608 What is the product of -79559 and -5? 397795 0.07 * -280093 -19606.51 2*0.1296 0.2592 -0.325*-36 11.7 Multiply -5 and 6.8223. -34.1115 Multiply 59.3 and 14.94. 885.942 194*-8318 -1613692 Product of -533 and 113.6. -60548.8 0.13 * 8686.1 1129.193 Work out -1032713 * -0.5. 516356.5 What is the product of 0.0732 and -50? -3.66 What is the product of -1 and 0.3015? -0.3015 Multiply -5 and -0.02748. 0.1374 0.103 * 24.5 2.5235 What is the product of 1.4 and 0.012134? 0.0169876 Work out 3.6338 * -76. -276.1688 -0.016765*0.3 -0.0050295 What is the product of -3 and 466185? -1398555 Calculate -136.35*24. -3272.4 Multiply -0.6 and -15155. 9093 -19 times -23103 438957 -1 * -6757 6757 Calculate 1.013*-498. -504.474 Work out 21878 * 1. 21878 Product of 0.97399 and -0.6. -0.584394 Product of 29.257 and -0.8. -23.4056 32.36 times -0.11 -3.5596 Multiply 0.05 and 227.573. 11.37865 -519.3 * -0.1 51.93 Work out 0.2 * 16736. 3347.2 What is the product of -5.6111 and -0.5? 2.80555 0.0043 times -4.5 -0.01935 What is 231 times -41.7? -9632.7 0.39 * 0.0766 0.029874 Product of 20968 and -3. -62904 Work out -0.5147 * -571. 293.8937 Multiply 4.5 and -499. -2245.5 Product of -1054 and -6518. 6869972 Work out -83 * 552.6. -45865.8 What is 3 times 944.4? 2833.2 0.0855 * -71 -6.0705 Product of 0.94721 and 0.1. 0.094721 -38693 * -1 38693 Multiply 28.6 and 48. 1372.8 Product of -0.468 and -0.0178. 0.0083304 What is the product of 367324 and 0? 0 What is the product of -5105.23 and 0.1? -510.523 Multiply -4 and 71914. -287656 Work out 0.3 * -176069. -52820.7 What is the product of -8 and -578627? 4629016 Calculate -0.215*-2.21. 0.47515 0.7 times -480681 -336476.7 -0.3 times 66026 -19807.8 1917 * 12.5 23962.5 Calculate -20.6*-0.71. 14.626 Calculate 26*107.4. 2792.4 -3028*-6.46 19560.88 20 * -85.7 -1714 2434*49 119266 Multiply -108.6 and 7.3. -792.78 Calculate 45531*6. 273186 Multiply -10.072 and -104. 1047.488 What is 663.22 times 5.2? 3448.744 What is -29.91 times -2.4? 71.784 What is the product of -0.05463 and -162? 8.85006 Calculate -0.4*-50.69. 20.276 What is 3.3 times -6.3? -20.79 Product of -21 and -18.11. 380.31 Work out 5 * -0.1826. -0.913 Calculate 0.0330729*1. 0.0330729 3 * -1.544 -4.632 0*2412 0 0.578619 * 0.03 0.01735857 Calculate 0.4*490495. 196198 Multiply -1610 and -3825. 6158250 -103 times 632 -65096 36477 * -5 -182385 -73182 * -2 146364 -2.27 times 1857 -4215.39 Multiply -8 and 4114.3. -32914.4 What is 0.039874 times 0.5? 0.019937 11395*-1 -11395 -0.13937*-0.73 0.1017401 What is the product of 0.4 and 0.08461? 0.033844 206 * 556 114536 Product of -1.4 and -3455. 4837 -3 * 86151 -258453 9.58 times -1602 -15347.16 Calculate -0.069*-5833. 402.477 Work out -0.02879683 * -4. 0.11518732 Product of -132871 and 0.4. -53148.4 -1.896 times 0.1164 -0.2206944 -0.008531 * 14 -0.119434 9.4 times 4112.7 38659.38 Work out 14 * 21396. 299544 Multiply 276 and 0.418. 115.368 Product of 233 and 382. 89006 -5*-11626 58130 3867.92 times 6 23207.52 56590 times -0.5 -28295 Work out -2.721 * 5. -13.605 Calculate -10
{ "pile_set_name": "DM Mathematics" }
s digit of o? 7 Suppose -686*f = -680*f. Suppose f = -64*n + 68*n + 4*r - 2996, n = 5*r + 743. What is the tens digit of n? 4 Suppose -11*y + 159879 = 425 + 25166. What is the ten thousands digit of y? 1 Suppose -5*r + 4645 = 5*w, -6*r + 8*r - 2*w = 1838. Suppose 5*g = 8*g - r. What is the hundreds digit of g? 3 Let j(y) = 19*y - 15. Let h be j(1). Suppose 5*n - h*r - 166 = -0*r, 78 = 3*n + 3*r. What is the units digit of n? 0 Suppose -1083 + 115 = -22*j. Let n = 91 - j. What is the tens digit of n? 4 Let a = 9093 + -1048. What is the thousands digit of a? 8 Suppose -14*q - 56 = -0*q. What is the units digit of 78/q*136/(-12)? 1 Let r = 114 - 99. What is the tens digit of 6/r - 4428/(-30)? 4 Let r be (522/(-10))/(6/(-30)). Let t = 442 - r. Suppose 2*u = t - 55. What is the tens digit of u? 6 Let p(o) = 2*o + 17. Let k be p(-7). Suppose -10 - 35 = -k*i. What is the units digit of (3/(i/2))/((-2)/(-440))? 8 Let f(w) = 7*w**3 + 7*w**2 + 53*w - 508. What is the hundreds digit of f(11)? 2 Suppose 0 = -f - 2*j - 14, 3*f + 18 = -4*j + 6*j. What is the units digit of (-29)/((9 - 5)/f)? 8 Suppose 12*u - 16598 = 13222. What is the tens digit of u? 8 Let m(d) be the first derivative of -27*d**2 - 10*d + 2138. Let t(n) = -2*n**2 - 3*n. Let r be t(-2). What is the units digit of m(r)? 8 Let k = 33679 - -29596. What is the units digit of k? 5 Let m be 50052/25 + (-16)/200. Suppose -3*t - 4*o + m = o, 4*t - 2651 = -3*o. What is the tens digit of t? 5 Let a(d) = 14*d**3 + 4*d**2 - 3*d - 7. Let b be a(4). Let m = 1983 - b. What is the tens digit of m? 4 Suppose 2*b = -3*f + 32, f - 3*b - 2 + 6 = 0. Let v be (-10)/3*((-2244)/f - 0). Suppose 185 = -6*x + v. What is the units digit of x? 5 Suppose -17 = -2*z - 13. Suppose -z*y + 2114 = 2*k, -k = 3*y + 192 - 1251. What is the hundreds digit of k? 0 Suppose -5*x = -5*h + 5485, 2*x - 15 = -x. What is the units digit of (h/57)/(3/54)? 8 Suppose -2*f + 8 = z, -5*f + 4*z - 11 = -31. Suppose -3*i + 2*i + 146 = -3*w, f*i = 2*w + 534. What is the units digit of i? 1 Let k = -34 + 37. Let i be (2/(-5))/(k - 364/120). What is the units digit of (3/(-9) - (-4)/i) + 120? 0 Let m = -1731 + 871. Let r = m + 589. Let o = 429 + r. What is the units digit of o? 8 Suppose s + 3*h - 4829 = 0, 30*h - 34*h = -2*s + 9628. What is the hundreds digit of s? 8 Suppose 3*c - 2*t - 38 = 0, -c + 4*t + 16 = 5*t. What is the hundreds digit of (-4)/c - ((-11840)/35 + -7)? 3 Suppose -4*j = -c + 53858, -11*j = 3*c - 95051 - 66684. What is the thousands digit of c? 3 Suppose -2252*t + 2269*t = 79173 + 15330. What is the hundreds digit of t? 5 Suppose 523*q - 504*q - 274963 - 118223 = 0. What is the tens digit of q? 9 Suppose -504 = 14*f + 672. What is the units digit of (f - (-3 + 3))*95/(-15)? 2 Suppose -72*t + 3*i = -77*t + 13356, 4*t + 4*i = 10680. What is the hundreds digit of t? 6 Let m = 15241 + -10383. Suppose -3*t + m = 5*j - 7*t, -1960 = -2*j - 4*t. What is the hundreds digit of j? 9 Suppose -2*u = w - 40887, -123*w + 3*u = -116*w - 286362. What is the hundreds digit of w? 9 Suppose -2*v + 10*x - 7*x - 20 = 0, 0 = -v + 4*x. Let l(y) = -52*y - 145. What is the hundreds digit of l(v)? 6 Let j be 2 - (-310 - (-13)/(39/(-18))). Let y = j + 150. What is the units digit of y? 8 Let l(u) = -u**2 - 23*u - 20. Let b be l(-11). Let n be -40*((-2)/6 - b/6). Suppose -4*f + n = 4*f. What is the units digit of f? 5 Let r(d) = 2*d**2 + 4*d + 14. Let j be r(-5). Let q = 235 - j. Suppose -q = -8*y - 23. What is the units digit of y? 1 Suppose 0 = -q + f + 11901, 1147*q - 1142*q = -f + 59523. What is the units digit of q? 4 Let y = 88 + 51. Suppose -3*m - 5*z + 2172 = 0, -5*z + 575 + y = m. What is the units digit of m? 9 Let g = 513 + -689. What is the tens digit of (2 + 116)/(2/g*-11)? 4 Let d = -712 + 1207. Suppose -18*f = 27*f - d. What is the units digit of f? 1 Let h = -145 + 257. Let l = -78 + h. What is the tens digit of l? 3 Let s(z) = -1528*z - 10. What is the thousands digit of s(-3)? 4 Let m(n) = -2*n + 6. Let t be m(-9). Suppose 3*b = -5*w + 135, -b - b = -5*w - 90. Let p = b - t. What is the units digit of p? 1 Let o = 7700 - -8367. What is the hundreds digit of o? 0 What is the units digit of (-4)/(-14)*1 + 37/((-1295)/(-27220))? 8 Let s be (-6)/((-18)/(-15)) + 25. Let a(l) = 4*l + 62. Let q be a(s). Suppose q - 529 = -3*h. What is the hundreds digit of h? 1 Let f = 131799 - 88912. What is the thousands digit of f? 2 Let r = -124 + 687. Let f = -373 - -650. Suppose 7*z - r = f. What is the hundreds digit of z? 1 Suppose 47 - 124 = -7*z. Let y = 13 - z. Suppose y*s - s = 2*w + 32, 3*s - 5*w = 98. What is the units digit of s? 6 Let l(a) = -a**3 + 10*a**2 - 7*a - 1. Let w be l(8). Suppose 2*c - 98 = -28*f + 26*f, 5*c = 5*f - 205. Let o = w - f. What is the tens digit of o? 2 Let k be (2 + 220/(-35))/(3/84). Let m = k - -164. What is the tens digit of m? 4 Suppose 2*h - 31 = -23. Let l(w) be the third derivative of 9*w**4/4 + 5*w**3/6 - 13*w**2. What is the hundreds digit of l(h)? 2 Suppose 8*d - 40544700 = -441*d. What is the thousands digit of d? 0 Suppose -2*b - 41 - 37 = 0. What is the hundreds digit of 5 - (-13)/(b/(-606))? 2 Let m = -49 + 52. Suppose m = 3*a - 2*a. What is the units digit of (25 + 2)*9/a? 1 Let v be 20/650*5 - 2172348/(-26). Suppose 81*m - v = 25*m. What is the units digit of m? 2 Suppose -4*b - 4*h = -176231 + 29995, -109689 = -3*b + h. What is the tens digit of b? 6 Let u(m) = 14*m**2 - 16*m - 90. Let b be u(-5). Let k = 313 + b. What is the hundreds digit of k? 6 What is the hundreds digit of (2 - 0)*(-62)/372*-20955? 9 Let z(f) = -f**3 - 17*f**2 - 22*f - 155. What is the hundreds digit of z(-22)? 7 Let s = 141 - 139. What is the tens digit of 9*(16/(-60))/(s/(-55))? 6 Let q(x) = -495*x**3 + 27*x**2 - 3*x + 1. What is the tens digit of q(-2)? 7 Suppose -43*u + 52*u = 297. Suppose 0 = 31*a - u*a - 2*z + 2628, a - 1330 = -5*z. What is the units digit of a? 0 Let p = -6 - 38. Let w = 46 + p. What is the tens digit of (-1228)/(-34) + w/(-17)? 3 Suppose -3*n = 2*f + 12, -3*f + 20 = -5*n - 8*f. Let y be ((-6)/n*-4)/(-2). Let x(c) = 44*c + 21. What is the tens digit of x(y)? 5 Let i(y) = 13*y**3 - 15*y**2 - 62*y + 448. What is the tens digit of i(9)? 5 Suppose 4*a = -c - 4*c - 126, 0 = 4*a - 5*c + 146. Let h = a + 37. Suppose h*k - 294 = -2*x, -5*x + 480 = -4*k - 255. What is the tens digit of x? 4 Let g = 5277 + -4075. What is the tens digit of g? 0 Let h = -16 - 75. Suppose -5*f + 1345 = 5*a, 15*f - 17*f + 535 = -a. Let z = f + h. What is the units digit of z? 7 Let v be -3 - (-5 + -1) - 0/8. Suppose 136 = v*t + 2*a, 2*t - 67 = 3*a + 15. What is the tens digit of t? 4 Suppose 5*u + 4 = 49. Suppose u*r - 8 = 28. What is the tens digit of (r + (2 - 39)*-2)*2? 5 Let l(f) = 2*f**3 - 14*f + 205. What is the tens digit of l(15)? 4 Suppose 4*q = 9*q + 3*a - 29, -5*q + 2*a + 39 = 0. Suppose 13*p - q*p = 750. What is the tens digit of p? 2 Suppose -5*k = p - 1955, 5*p = 5*k + 9050 + 845. Suppose s = 2*b + p, -b - 1 = -0. What is the hundreds digit of s? 9 Suppose 5*g = 8*j - 4*j - 40831, 5*j - 4*g - 51041 = 0. What is the hundreds digit of j? 2 Let q(z) = 30*z**3 - 8*z**2 + 49*z - 156. What is the hundreds digit of q(7)? 0 Let z be ((-9)/117*-13)/(1 - 0). Let h(p) = 1601*p**2 - 4*p - 1. What is the thousands digit of h(z)? 1 Let s be 701 + (-40)/(-25)*(-15)/6. Let c = s + -141. What is the tens digit of c? 5 Suppose 5*h - l = -6*l - 5, 4*h - l = 1. What is the units digit of 1*(8 + -5 - h/(-2))? 3 Suppose -6*n = -30 - 12. Suppose n*x + 12 = 13*x. What is the tens digit of x*3*30/9 + 1? 2 Suppose 2*l + 6821 - 20319 = 4*u, 5*u = 3*l - 20244. What is the thousands digit of l? 6 Suppose -p - 5 - 3 = 0. Let x be p/(-24) + (-28)/(-6). Let d(q) = 3*q**2 - 6*q + 12. What is the units digit of d(x)? 7 Let g = 14310 - 3445. What is the thousands digit of g? 0 Let q(s) = -11*s + 106. Let d(o) = -12*o + 104. Let j(u) = 6*d(u) - 8*q(u). What is the hundreds digit of j(50)? 5 Suppose 20*b = -49*b + 299115. What is the hundreds digit of b? 3 Suppose 3*m - 24 = 2*m + 5*d, -4*m - 5*d = -21. Let n(i) = -m*i + 5*i - 17*i. What is the units digit of n(-3)? 3 Suppose 5*z - 3*y = 12216, 406*z - 9774 = 402*z + 2*y. What is the units digit of z? 5 Let
{ "pile_set_name": "DM Mathematics" }
e -3*w = -u + 2, 0*w - 4*u = -4*w - 8. Suppose w*k + 6 = 2*k. What is the third derivative of k*b**2 - 1 + 1 + b**5 wrt b? 60*b**2 Let j(s) = s**2 + 3*s + 1. Let h be j(-3). Suppose -3 = -2*y + h. Find the first derivative of -1 + 3 + f**y + f**2 wrt f. 4*f Let o(t) = -2*t**3 + t**2 + 2*t + 1. Suppose -k + 3*g - 16 = 0, 4*k - 1 = g - 2*g. Let q be o(k). Find the second derivative of -p**2 - 2 + q + 2*p wrt p. -2 Suppose -7*n + x = -3*n - 53, -2*n + x = -25. Suppose -2*m + n = 4*h, 0 = -7*h + 4*h + 2*m. Differentiate -2 - 12*q**2 - q**3 + 12*q**h with respect to q. -3*q**2 Find the second derivative of -69*m**3 + 0*m + 4 + 4*m + 44*m**3 + 96*m**3 wrt m. 426*m Let j be 4/2 - 0/11. Find the second derivative of j*i + 8 - 8 + 2*i**2 wrt i. 4 Find the second derivative of -6*h**3 + 2*h + 3*h + h wrt h. -36*h Let i be (-77)/(-4) + (-7)/28. What is the third derivative of -2*v**2 - i*v + 3*v**4 + 19*v wrt v? 72*v Let g(q) be the third derivative of 2/3*q**3 + 0*q + 6*q**2 + 1/15*q**5 + 0 + 0*q**4. What is the derivative of g(y) wrt y? 8*y Find the first derivative of 5*t - 5*t - 4*t**4 + 9 wrt t. -16*t**3 Let l(s) = -s - 1 + 4 + 2*s. Let b be l(7). Find the third derivative of -3*k**5 + 10*k + 4*k**2 - b*k wrt k. -180*k**2 What is the second derivative of -14*b + 141 - 141 - 9*b**3 wrt b? -54*b What is the derivative of 14 - 3*s - 13*s**4 - 23 + 3*s wrt s? -52*s**3 Let v(n) be the first derivative of -n**4/4 + n**3 + 2. What is the third derivative of v(d) wrt d? -6 What is the third derivative of -3*i**4 + 36*i**2 - 1 - i**4 - 2 + 2 - 9*i**3 wrt i? -96*i - 54 Let t(m) be the first derivative of 8*m**2 - 8*m - 3. What is the first derivative of t(b) wrt b? 16 Let a(z) be the first derivative of 1/3*z**3 + 1/2*z**6 - 3 + 0*z + 0*z**2 + 0*z**5 + 0*z**4. Find the third derivative of a(u) wrt u. 180*u**2 Suppose -q = -1 - 3. Let z be 4 - (3 + -1)*1. Find the second derivative of -2*w**z - 8*w + 3*w**2 + q*w wrt w. 2 Differentiate 6*q**3 + 2*q**3 - 9*q + 6 + 9*q with respect to q. 24*q**2 Find the first derivative of -4 - 3*b - 5*b + 3*b wrt b. -5 Let o(l) be the third derivative of l**7/840 + l**5/30 - l**3/2 + 4*l**2. Let r(v) be the first derivative of o(v). Find the second derivative of r(h) wrt h. 6*h Let p(u) be the third derivative of 1/60*u**5 + 0*u**6 + 0*u**7 + 0*u**3 - 3*u**2 + 0*u + 0 + 1/112*u**8 + 0*u**4. What is the third derivative of p(i) wrt i? 180*i**2 Let w = -1 - -3. What is the derivative of 0*u**3 + 0 - w + 6*u**3 - u**3 wrt u? 15*u**2 Let v(t) be the first derivative of -18*t**5/5 - 2*t - 24. What is the derivative of v(i) wrt i? -72*i**3 Let j be 0 + (2 + -3)*-2. What is the first derivative of -k + 6 - 2*k - j wrt k? -3 Let v(g) = -g**2 + 7*g - 6. Let p be v(5). Differentiate -2*b**4 + 6*b**p + 26 - 27 with respect to b. 16*b**3 Let q be (-1 + -1)/(1/14). Let j be (-38)/(-14) - 8/q. What is the third derivative of -y**2 + 2*y**2 + 0*y**2 - y**j wrt y? -6 Let v(m) = -3*m**3 - 4*m**2 + 4*m + 34. Let f(n) = -2*n**3 - 3*n**2 + 5*n + 33. Let w(o) = 4*f(o) - 3*v(o). Find the first derivative of w(x) wrt x. 3*x**2 + 8 Let k(o) = o - 3 + 3*o**3 + 1 + o**2 + 3. Let u(g) = g**3 + g**2 - g - 1. Let l(s) = -k(s) - u(s). What is the third derivative of l(p) wrt p? -24 Let j(l) = 95*l**2 - 60*l + 10. Let m(x) = 48*x**2 - 30*x + 6. Let o(a) = 3*j(a) - 5*m(a). What is the second derivative of o(k) wrt k? 90 Let g(q) = -10*q**4 - 5*q**3 - 9*q**2 - 5*q. Let r(z) = 11*z**4 + 6*z**3 + 10*z**2 + 6*z. Let x(y) = -6*g(y) - 5*r(y). Find the third derivative of x(t) wrt t. 120*t Let x(i) = i**3 - i - 9. Let s be x(0). Let j(o) = o**2 + 8*o - 7. Let p be j(s). What is the third derivative of -3*g**3 - p*g - g**2 + 2*g wrt g? -18 Differentiate -2*i**4 + 8 + 4 + 28*i**4 - 7*i**4 with respect to i. 76*i**3 Let t(r) = 4*r**2 - r - 3. Let s(l) = 3*l**2 - l - 2. Let u(i) = -3*s(i) + 2*t(i). What is the second derivative of u(z) wrt z? -2 Find the second derivative of -22 - 5*n**4 + 15*n + 0*n**4 + 22 wrt n. -60*n**2 Let u(r) = -6*r**4 + 3*r**3 - 3*r**2 - 17. Let j(t) = 6*t**4 - 2*t**3 + 2*t**2 + 18. Let i(p) = 3*j(p) + 2*u(p). What is the derivative of i(y) wrt y? 24*y**3 Let l = 57 + -52. Let d(b) be the first derivative of -1/5*b**l + 0*b**3 + 2 + 1/2*b**2 + 0*b + 0*b**4. Find the second derivative of d(n) wrt n. -12*n**2 Let o = -12 + 14. What is the third derivative of -12*x**6 + 3*x**2 - 2*x**5 + 7*x**6 + o*x**5 wrt x? -600*x**3 Suppose -5*g + 70 = 15. Let b(u) = u**2 - 11*u + 13. Let r be b(10). What is the derivative of g*y - y**4 - 11*y - r wrt y? -4*y**3 Suppose 1 = 3*v - 5. Let s(q) = q**2 - 16*q. Let h be s(16). What is the second derivative of 3*c**2 + 0*c**v - 4*c - 5*c**2 + h*c wrt c? -4 Let s be 1/6 + 7/14. Let v(d) be the third derivative of 0 + 1/20*d**5 + 0*d - d**2 - s*d**3 + 0*d**4. What is the first derivative of v(r) wrt r? 6*r Let i(t) be the third derivative of 0*t + t**2 + 1/60*t**5 + 0*t**3 + 0*t**4 + 0 - 1/40*t**6. What is the third derivative of i(n) wrt n? -18 Let g(t) be the second derivative of -t**5/10 - 3*t**2/2 + 4*t. Let i(a) = a**3 + 1. Let c(b) = -g(b) - 4*i(b). What is the derivative of c(u) wrt u? -6*u**2 Let y(f) = -f**3 + 3*f**2 + 2*f - 4. Let k be y(3). Let g be (k - (-14)/(-6))*-6. Find the second derivative of d**2 - d - 2*d**g + 4*d + 3*d**2 wrt d. 4 Let m(c) be the first derivative of 2*c**5/5 + 11*c**3/3 + c**2 + 40. What is the second derivative of m(g) wrt g? 24*g**2 + 22 Let x(b) be the first derivative of 5*b**4 - 21*b**2/2 - 10. What is the second derivative of x(h) wrt h? 120*h Let g(o) = o**3 - 7*o**2 + 21*o - 7. Let i(a) = -a**3 + 3*a**2 - 10*a + 3. Let j(x) = 3*g(x) + 7*i(x). What is the second derivative of j(h) wrt h? -24*h Let f(u) be the third derivative of u**8/84 - u**5/15 + 7*u**2. What is the third derivative of f(i) wrt i? 240*i**2 Let r(a) be the second derivative of 11*a**3/6 + a**2 + 2*a. Let j(k) = -12*k - 2. Let x(l) = -6*j(l) - 7*r(l). Find the first derivative of x(z) wrt z. -5 Let s be (-2 - -2)/((-1)/1). Find the third derivative of s*v**3 + 0*v**3 - 4*v**2 + 3*v**6 wrt v. 360*v**3 Suppose 3*y - t - 9 = 0, -t - 2 + 1 = -y. Find the second derivative of -r**4 - r + 0*r**y - 9*r wrt r. -12*r**2 Let t(j) = j**3 - 4*j**2 + j - 2. Let m be t(4). What is the third derivative of -4*k**2 + 7*k**2 + 0*k**3 + 0*k**m + 3*k**3 wrt k? 18 Let y = 4 + 0. Let r be y*3/6 - -1. What is the third derivative of 4*v**r + v**2 + 3 - 3 wrt v? 24 Let w(y) = -2*y**2 - 2*y + 1. Let m = 2 - 3. Let q(i) = -i - 1. Let r(c) = m*q(c) - w(c). What is the second derivative of r(o) wrt o? 4 Let h(k) be the third derivative of -1/2*k**3 + 0*k**4 + 0*k - 1/20*k**5 + 0 - 3*k**2. Differentiate h(s) wrt s. -6*s Suppose 0 = 3*j - 15 + 3. Differentiate -8 + j - 4*w**2 + 8 with respect to w. -8*w Let w(j) = 12*j + 15. Let n(x) = x. Let c(m) = -n(m) + w(m). What is the first derivative of c(k) wrt k? 11 Let a(u) be the third derivative of -2*u**7/35 - 3*u**5/10 + 22*u**2. Find the third derivative of a(q) wrt q. -288*q Let i(l) be the first derivative of 0*l**2 - 2 + 7*l - 4/3*l**3. What is the derivative of i(x) wrt x? -8*x Find the second derivative of -416 - 3*c + 3*c**2 - c + 418 wrt c. 6 Find the second derivative of 5*c**5 - 12*c**5 - c**5 - 13*c**5 - 3*c wrt c. -420*c**3 Let y(m) be the first derivative of -52*m**3/3 - 38*m - 45. Differentiate y(l) with respect to l. -104*l Let x(u) be the first derivative of 0*u**2 + 9 + 9*u + 5/4*u**4 + 0*u**3. Find the first derivative of x(o) wrt o. 15*o**2 Let k(l) be the first derivative of -8*l**4 - 20*l**2 - 36. What is the second derivative of k(t) wrt t? -192*t Let v(n) = 3*n**4 - 3*n**2 - 2*n. Let g(y) = -9*y**4 + 10*y**2 + 7*y. Let k(a) = -2*g(a) - 7*v(a). What is the third derivative of k(u) wrt u? -72*u Let f(h) = h - 1. Let o(g) = -g**2 - 5*g - 7. Let l be o(-3). Let q be 1/(-2)*2*1. Let b(d) = d - 1. Let i(n) = l*f(n) + q*b(n). Differentiate i(t) wrt t. -2 Let y(j) = -2*j - 4. Let p be y(-6). Differentiate 1 + 2*t + 1 - p + t wrt t. 3 Let c(z) be the third derivative of -z**5/6 + z**4/4 + 5*z**2. Let h(r) = 5*r**2 - 3*r. Let o(j) = -4*c(j) - 9*h(j). Find the second derivative of o(m) wrt m. -10 Let p be (2 + -1)/((-10)/(-20)). Find the third derivative of 24*g**3 - 19*g
{ "pile_set_name": "DM Mathematics" }
Is g at least w? False Suppose 0 = -i - 2*l + 1, -3*i + 2*l = -l - 12. Let c(u) = -3 - 6*u**2 + i*u**2 + 5*u**2. Let d be c(-2). Which is smaller: d or 4? 4 Let u = -0.119 - -61.119. Let h = u + -57. Which is smaller: 0 or h? 0 Let z(g) = -g**3 + g**2 - g - 1. Let h be z(-1). Let q be (h/(-36))/(9/36). Do q and 5 have the same value? False Let v = -67.87 + 0.87. Let b = v + 69. Is b at most -0.01? False Let z be (4/(-10))/((-12)/(-435)). Let k = 15 + z. Let j = 4.33 - 4.34. Is k at most j? False Let u = 317 + -254. Which is bigger: -2 or u? u Let p = -0.0557 - 0.1443. Is -192 greater than or equal to p? False Let z be 2/(-4) + (-110)/20. Let f be (-4)/(-6) - z/(-9). Suppose 4*t - 16 = -4*r - f, -3*t - 2*r = -10. Is 3 > t? True Let a be (16/(-20))/(4/(-50)). Let s be ((-16)/12)/((-4)/(-6)). Let f be ((-1)/s)/(9/162). Is a greater than or equal to f? True Let g = 0.021 + 27.979. Let w = 27 - g. Let d = w + 1.1. Is d at most 1? True Let v(j) = -j - 3. Let x be v(0). Let s = 11 - 12. Let u be (2 + s/1)/(0 - 1). Is x less than u? True Suppose q = -3*q - 160. Let n be 68/q*-2 - 4. Is 0 at most n? False Suppose 341*c - 492 = 382*c. Let u = 0.08 + -0.38. Which is smaller: c or u? c Let t = -2.8 + 0.8. Let o = 2 + t. Which is bigger: -3 or o? o Let z = 5.9 - -1.5. Let y = -7.2 + z. Let q = 1.2 + -2.1. Which is greater: y or q? y Let u = -73687/9 - -76238/9. Let f = u - 283. Let i = -2 + 2. Which is greater: f or i? f Let i = -1 - -5. Suppose -10 + i = -2*w. Let s be -7 - -4 - -6 - 1. Which is smaller: w or s? s Suppose -4*m = -2*z + 202, m + 13*z + 43 = 12*z. Which is bigger: -47 or m? -47 Suppose -16 = 5*h + 2*g, -3*h + 3*g + 1 = h. Suppose 0 = -12*b + 17*b + 5*y, 5*b = 5*y - 30. Is h equal to b? False Suppose -4*p = -62 - 74. Suppose 5*x = 7*x - p. Is x not equal to 16? True Let w = 103.4 + -96.4. Is -38 < w? True Let x = 251 + -252. Is x greater than or equal to -1/5? False Let o = -12 - -12. Suppose o = 3*k - 30 - 6. Let h = 5 - k. Is h less than or equal to -7? True Let t be (-4)/22 + (-432)/(-198). Let m be 3 + (t - -1) + 30. Are 36 and m nonequal? False Let r = -532 + 652766/1227. Which is bigger: r or 1? 1 Suppose -20 + 34 = -7*t. Let q(a) = -6*a - 1. Let c be q(t). Which is bigger: c or 9? c Let w be 6 + (-17625)/3420 - (-5)/(-6). Which is smaller: w or -1? -1 Let q = 89 - 79. Suppose q = 11*b - 12. Is 7 smaller than b? False Suppose t = -4*t - r - 77, 2*t - 3*r + 24 = 0. Let i be 87/t - (-1)/(-5). Is -6 greater than i? False Let u(q) = -7*q - 5 - q**2 - 11 + 0*q**2 + 6. Let i be u(-4). Which is bigger: i or 0.1? i Let g(a) = -a**3 + 9*a**2 - 10*a + 32. Let l be g(8). Which is smaller: l or 11? 11 Suppose 4*s - 2 = 50. Suppose -11*o + 2 = s. Let g = -7/3 - -11/6. Is o less than g? True Suppose -y + m + 1 = -6, -5*m + 5 = 0. Let r = y + -9. Which is smaller: -3/5 or r? r Let z(o) = -18*o - 197. Let d be z(-11). Let k(j) = j - 3. Let q be k(5). Let r be q/(-9)*(-2 - 1). Is r greater than or equal to d? False Suppose 26*r = -18*r + 176. Let q = 613/12 + -51. Which is smaller: r or q? q Suppose -11 = c - 12. Let l be c - (-438)/(-585) - (-2)/(-10). Let z be (-8)/3 + (-2)/(-3). Is l equal to z? False Let f(c) = c**2 + 13*c + 17. Let g be f(-12). Suppose 23 = 6*u - u - 2*i, 0 = u - g*i. Is u at least as big as 5? True Let t(b) be the second derivative of b**5/20 + b**4/4 - 5*b**3/6 - b**2/2 - 2*b. Let w be t(-4). Suppose w*i = -0*i - 6. Which is smaller: i or -2/3? i Let a = 506 - 512. Is a bigger than 0.77? False Let y = -24 - -6. Let g be (0 + 2)/((8 - -2)/(-78 - 15)). Is y bigger than g? True Let t = -2007/7 - -287. Which is smaller: t or -0.89? -0.89 Let q = -51 - -73. Let u = 45.4 + -23.1. Let j = u - q. Is 2 at least j? True Suppose 4*s - 24 = 424. Let n be s/(-390) + (-14)/(-91). Which is smaller: -2/5 or n? -2/5 Let w be -3*((-50)/6)/5. Suppose -3*m - w*c - 10 = 0, 8*m + 2*c = 3*m - 4. Let k = m + 2. Which is bigger: -2 or k? k Let h = 4143 - 3467693/837. Does h = 1? False Let q = 5 + -3. Suppose q*p + 3 + 1 = 0. Let h be 1 + p + -2 + 9. Which is smaller: h or 5? 5 Suppose -40 = u - 12. Let c be (21/2)/(3 + u/8). Which is bigger: c or -2? -2 Let q(b) be the first derivative of 37*b**3 - b**2 - b - 7. Let v be q(-1). Suppose -i - 113 = 4*l - 4*i, -v = 4*l - 4*i. Is l bigger than -29? False Let i = 70 + -105. Let g = i + 25. Which is bigger: g or -12? g Let i be (48 - 49)/((0 + 1)*1). Is i > 4/109? False Let c be (-3)/(-1)*(-35)/(-7875). Which is greater: 0 or c? c Let k(t) = -31*t - 328. Let u be k(-11). Which is greater: 9 or u? u Let a(b) = b**2 - 3*b - 128. Let c be a(11). Is -42 less than or equal to c? True Suppose -4*s - 3*r = -7*r - 20, -5*r - 25 = s. Is 1/17 at most as big as s? False Let w = 150738 - 7838021/52. Let u = w + -66/13. Which is bigger: u or 3? 3 Let v = 0.07 - -0.13. Let h(a) be the first derivative of a**4/4 - 10*a**3/3 - 11*a**2/2 + 2*a - 3. Let m be h(11). Is v <= m? True Let f = -25 + 123/5. Let k = -0.6 - 0.1. Which is smaller: k or f? k Suppose 87 = 13*t - 147. Let l be 30*6/t*(-2)/5. Is 1/5 equal to l? False Let o be 3/((-2)/4*(-24)/372). Which is smaller: o or 95? o Let s = 0.0447 - 25.9547. Let g = -1.69 + s. Let m = g - -28. Is m at most as big as 0? False Let k(u) = u + 20. Let j be k(-17). Suppose g = 5*h, -4*h + 2*h = j*g. Is h smaller than 1/8? True Let w = 3.79 - 1.79. Let i = -0.07 + 4.07. Let t = -2 + i. Is t at most w? True Let a = 0.157 + 0.343. Are a and -1 nonequal? True Suppose -3*q = -8*q + 2*a, 5*a = -3*q. Which is bigger: q or 6/19? 6/19 Suppose 5*i - 20 = 0, 3*i - 1 = -3*d + 8. Let b = -0.01417 - -7.01417. Which is smaller: d or b? d Let q = 289 - 539/2. Let z be ((-63)/135)/(-7) - (-314)/15. Is z less than or equal to q? False Let p = -1.7 - 31.5. Which is smaller: -0.1 or p? p Suppose -q = -3*r - 3, 58*r - 5 = 53*r. Suppose -4*u - x + 3*x = -26, -3*x + 31 = 4*u. Which is bigger: q or u? u Suppose 0 = -v + 2*v + 10. Suppose -h + 73 - 61 = 0. Suppose 4*a + h = -5*d - 19, 3*a + 2*d + 25 = 0. Which is bigger: v or a? a Let d be 2/(-4)*1*-26. Let h = 29 - d. Let a be (h/12 - 1)*12. Are 1 and a equal? False Let c = -397898/4173 + 24/1391. Are -95 and c equal? False Let o be 10*(-1375)/33 - 10. Which is bigger: -426 or o? -426 Let r be -4*(115 - 2) - -1. Let w = 13982/31 + r. Is -1 smaller than w? True Let c(q) = -q + 10. Let o be c(10). Suppose -5*a - r = -14, o = 3*r - 12 - 0. Is 3 at least a? True Let t = -22/45 - -943/180. Which is bigger: t or -0.2? t Suppose -5*c - 41 = -51. Suppose -c*i - 2*p + 3*p = -26, -6 = -3*p. Are 14 and i equal? True Let b(n) = -n**3 - 23*n**2 + 25*n + 9. Let m be b(-24). Is -8 greater than m? True Suppose -2*i = -4*m - 244, 0 = -5*i + 5*m + 936 - 346. Let y be 3*(-1)/(-18) - (-41)/i. Is 0 != y? True Let y = -283/210 - -17/14. Suppose -5*w + 3*h + 7 = -0*w, 5*w + 1 = h. Which is bigger: y or w? y Suppose -23 = -4*l + 81. Let f be 13/l - (-6)/(-8). Is f not equal to -8? True Suppose y = 4*i - 17, 0 = 3*i - 0*y - 5*y - 34. Suppose -2*l - u + 7 = 0, -i*l - 4*u + 22 = -l. Which is bigger: l or -2/25? l Let y = 59/144 + -3/16. Do -1 and y have the same value? False Let g = -1.6 - -4.5. Let x = -3.8 + g. Does -3 = x? False Suppose o - 144 = -2*o. Suppose -4*i + 8 = -o. Are 14 and i unequal? False Let q = -950 + 1029. Does 79 = q? True Suppose -35*z = -37*z - 118. Let t = z + 63. Which is bigger: 15 or t? 15 Let w be (7 + -4)*(-8)/(-32). Is 29/5 equal to w? False Let w be (-265)/(-10) - 2/4. Suppose 30*p - 4 = w*p. Which is smaller: -2/67 or p? -2/67 Let p(m) = -m**3 + 8*m**2 - 6*m - 7. Let k = 12 + -5. Let j be p(k). Let n be -7 - (0 + 3 - j). Which is bigger: -9 or n? -9 Suppose 0 = -6*l + 12 - 0. Suppose -2*p = -l*v + 4, p - v + 2*v = -2. Let z(w) = 2*w + 2. Let t be z(-1). Does t = p? False Suppose 0 = -2*m + 5*p + 27, 0 = -5*m + 3*p + 96. Which is smaller: 28 or m? m Suppose 6*y - 3*f - 13 = 4*y, 4*f - 62 = -3*y. Let h = -13 + y. Does 7/3 = h? False Suppose -t - 10 = 2*i, -2*t - 12 = -6*i + 2*i. Let y = -1 - t. Let j = -2 + y. Which is bigger: j or 4? j Let y = 502 + -614. Which is smaller: y or -109? y Suppose -2*p + 163 = -5*k, p + 49 = -4*k + 124. Which is smaller: p or 76? 76 Suppose -3*q + 4*q = 0. Suppose -m + 76 + 36 = q. Let o be m/228 - (-3)/(-9). Which is
{ "pile_set_name": "DM Mathematics" }
492*t + 170*t + 158*t. -t**3 Collect the terms in 0*h**2 - h**2 + 11*h + 11*h. -h**2 + 22*h Collect the terms in -9*z**3 + 25*z**3 + 6*z**3 - 6*z**3. 16*z**3 Collect the terms in -5*b**3 + 109 - 109. -5*b**3 Collect the terms in -4*c**2 + 18*c**2 - 2*c**2. 12*c**2 Collect the terms in -18*m**2 + 18*m**2 + 8*m**3 + 71. 8*m**3 + 71 Collect the terms in -31 - 253*r**3 + 31. -253*r**3 Collect the terms in o + 3*o + 4*o**2 + 0*o**2 - 3*o. 4*o**2 + o Collect the terms in -41*r**2 + 3*r**3 - r**3 + 41*r**2. 2*r**3 Collect the terms in 78*x**3 - 75*x**3 + 3 - 3. 3*x**3 Collect the terms in -13*i - 15*i - 8*i - 14*i + 41*i. -9*i Collect the terms in 279*y + 309*y + 2*y**3 - 588*y. 2*y**3 Collect the terms in -246*p - 218*p + 501*p. 37*p Collect the terms in 180*a - 180*a + 105*a**2. 105*a**2 Collect the terms in 6*l**3 - 6*l**3 + 6*l**3 + 9*l**3. 15*l**3 Collect the terms in 565*q**2 - 565*q**2 + 9*q + 3*q**3. 3*q**3 + 9*q Collect the terms in 829 - 51*x - 829. -51*x Collect the terms in 72 - 36 - 36 + 41*f. 41*f Collect the terms in -111*h - 1027 + 1027. -111*h Collect the terms in -21*w + 9*w - 15*w. -27*w Collect the terms in 1851 - 1851 + d. d Collect the terms in -654*v**2 + 329*v**2 + 327*v**2. 2*v**2 Collect the terms in 18836*j**2 - 1 + 1 - 18833*j**2. 3*j**2 Collect the terms in 289*w**3 + w - 583*w**3 - w + 297*w**3. 3*w**3 Collect the terms in 3 + 0 - 3 - 70*l. -70*l Collect the terms in -99*w + 99*w - 9*w**2. -9*w**2 Collect the terms in 2*p + 4*p - 49*p**3 - 4*p. -49*p**3 + 2*p Collect the terms in 0*d**3 - 3*d**3 + 5*d**3 + 6*d**3. 8*d**3 Collect the terms in 15*j**2 + 59*j**2 - 18*j**2. 56*j**2 Collect the terms in -11*j**2 + 25*j**2 - 3*j**2 - 6*j**2. 5*j**2 Collect the terms in -29*d**3 + 323 - 161 - 162 - 10*d**3. -39*d**3 Collect the terms in 9*b**2 + 10*b + 0*b - 10*b. 9*b**2 Collect the terms in -8*b - 3*b + 2*b. -9*b Collect the terms in 2*j + 2*j + 1872*j**3 - 1877*j**3. -5*j**3 + 4*j Collect the terms in -3225 + 3225 - y**2. -y**2 Collect the terms in -22 + 12 + 38*l + 12. 38*l + 2 Collect the terms in 28*x + 41*x**3 + 62*x**3 - 28*x. 103*x**3 Collect the terms in 562 + 30*q - 562. 30*q Collect the terms in -8 - 14 - 3*v + 22. -3*v Collect the terms in -57*j + 13*j + 23*j + 23*j. 2*j Collect the terms in -8*l**2 + 8*l**2 + 2*l**2 + 7*l**2. 9*l**2 Collect the terms in 85*a - 85*a + 80*a**3. 80*a**3 Collect the terms in -54 + 28 + 4*u**3 + u**3. 5*u**3 - 26 Collect the terms in 36608*v**2 - v**3 - 36608*v**2 + 0*v**3. -v**3 Collect the terms in -5*u - 10*u + u - 12*u. -26*u Collect the terms in 5*l - l**2 - 4*l**2 + 6*l**2. l**2 + 5*l Collect the terms in -435*i - 3 + 3 + 360*i. -75*i Collect the terms in 9513*x - 9513*x - x**3 - 2*x**3. -3*x**3 Collect the terms in -51 + 25 + 2*q + 26. 2*q Collect the terms in -109*u - 44*u - 173*u. -326*u Collect the terms in -31 + 58 + 5*y - 32 + 5. 5*y Collect the terms in -8*t**3 + 10*t**3 - 44*t**3. -42*t**3 Collect the terms in 1537528 - 2*j - 1537528. -2*j Collect the terms in -4*h**3 + 0*h**3 - h**3 + 7*h**3. 2*h**3 Collect the terms in -165*q**3 + 261*q**3 - 95*q**3. q**3 Collect the terms in 774 - 384 + 3*v**2 - 390. 3*v**2 Collect the terms in p**2 - p**2 + 0*p**2 - 2*p**2. -2*p**2 Collect the terms in -2*s**3 - 7*s**3 - 144*s**3. -153*s**3 Collect the terms in 4*i**3 - 7*i**3 + 34*i + 0*i**3 - 34*i. -3*i**3 Collect the terms in 1007*x**2 - 499*x**2 - 509*x**2. -x**2 Collect the terms in -6*a**2 + 321*a**3 + 6*a**2. 321*a**3 Collect the terms in 43 + 24*w - 21*w - 43. 3*w Collect the terms in 0*p - 10*p**3 + 0*p - p**3. -11*p**3 Collect the terms in 743*x - 358*x - 372*x. 13*x Collect the terms in 17*p + 17*p - 32*p. 2*p Collect the terms in -36*z + 306*z + 16*z. 286*z Collect the terms in -3*q - q + 3*q. -q Collect the terms in -967*z + 482*z + 477*z. -8*z Collect the terms in -3*l**2 + 3*l**2 + 6*l**2 - 3*l**2. 3*l**2 Collect the terms in -6*h**2 + 3*h + 7*h - 10*h. -6*h**2 Collect the terms in 85*n + 120*n - 54*n + 99*n. 250*n Collect the terms in -98*d + 49*d + 51*d. 2*d Collect the terms in 17 - w - 5*w**2 - 17 - w**2. -6*w**2 - w Collect the terms in -22*n**2 + 114*n**2 - 8*n**3 + 16*n**3 - 6*n**3. 2*n**3 + 92*n**2 Collect the terms in 600*j + 625*j - 1230*j. -5*j Collect the terms in -66*j**3 + 1 - 4 + 3. -66*j**3 Collect the terms in -12*b**3 + 9*b**3 + 12*b**3 + 12*b**3. 21*b**3 Collect the terms in -144 - 11*n**2 + 144. -11*n**2 Collect the terms in 255*v - 255*v + 13*v**2. 13*v**2 Collect the terms in 677 - 677 + 3*k. 3*k Collect the terms in -17*y + 83*y - 23*y - 17*y - 25*y. y Collect the terms in -12*w - 3*w + 15*w + 11*w**3. 11*w**3 Collect the terms in -688 + 6*x + 688. 6*x Collect the terms in 1 + 4*x**2 + 19*x**2 + 4*x**2. 27*x**2 + 1 Collect the terms in -15*n**2 + 3 + 16*n**2 - 11*n**2. -10*n**2 + 3 Collect the terms in -49*k - 69*k - 121*k. -239*k Collect the terms in 10427 - 10427 + 21*j**2. 21*j**2 Collect the terms in -6*n + 0*n + 6*n + 3*n. 3*n Collect the terms in 25*j - 27*j - 41 + 50. -2*j + 9 Collect the terms in -1018*t - 4*t**2 + t**2 + 1018*t. -3*t**2 Collect the terms in 14834 + 3*a**3 - 14834. 3*a**3 Collect the terms in -5*q - 3*q + 4*q. -4*q Collect the terms in -12*s**2 + 3 + 2 - 5. -12*s**2 Collect the terms in c + 2*c + c. 4*c Collect the terms in 28*m + 57*m - 46*m + 176*m. 215*m Collect the terms in -4*h**3 - 12*h**3 - 12*h**3 - 7*h**3 + 36*h**3. h**3 Collect the terms in 4*n + 13*n - 19*n + 5*n. 3*n Collect the terms in 6*a - 9*a - 16*a - 4*a. -23*a Collect the terms in 8*p - 15*p + 3*p. -4*p Collect the terms in 245*a**3 + 0 + 0 + 1004*a**3. 1249*a**3 Collect the terms in -2*a + 1977 - 1977. -2*a Collect the terms in 41*z**3 + 30*z**3 - 70*z**3. z**3 Collect the terms in 3*v**3 - 1353*v + 1353*v - 15*v**3. -12*v**3 Collect the terms in -10*k**3 - 3*k**3 - 7*k**3 - 5*k**3. -25*k**3 Collect the terms in 87*o**2 + 12*o**3 - 87*o**2. 12*o**3 Collect the terms in -4*z**3 + 232*z + 205*z - 437*z. -4*z**3 Collect the terms in 24*f + 33*f - 60*f. -3*f Collect the terms in -53 + 30*j**3 + 53. 30*j**3 Collect the terms in 742 + 28*n**2 - 742. 28*n**2 Collect the terms in 95*m - 187*m + 91*m. -m Collect the terms in -4*s**2 - 27*s - 2 + 8*s**2 + 11*s**2. 15*s**2 - 27*s - 2 Collect the terms in 3*j**2 + 2*j**2 - 2*j**2 + 28*j - 28*j. 3*j**2 Collect the terms in g + 9*g - 10*g + 3*g**2 - 4*g**2. -g**2 Collect the terms in -267 - 44*h + 267. -44*h Collect the terms in 7 + 2*o**2 + 11*o**2 - 7. 13*o**2 Collect the terms in 12*j**3 + 0*j**3 + 0*j**3. 12*j**3 Collect the terms in -3*a - 2*a + 3*a + 592*a**3. 592*a**3 - 2*a Collect the terms in 4576*u**3 + 0*u**2 + 0*u**2 - 4575*u**3. u**3 Collect the terms in 3*z**2 - 699 + 699. 3*z**2 Collect the terms in -37 + 68 + 9*k**2 - 31. 9*k**2 Collect the terms in -3976*j + 3976*j - 6*j**3. -6*j**3 Collect the terms in -26 + 26 - 17*n + 14*n. -3*n Collect the terms in -33 - 78*t**2 + 33 + 14*t**2. -64*t**2 Collect the terms in -174*n + 351*n - 179*n. -2*n Collect the terms in 186*c - 186*c - 116*c**2. -116*c**2 Collect the terms in 30*i**2 + 27*i**2 - 55*i**2. 2*i**2 Collect the terms in 2*u**2 - 12 - 15 + 34 - 7. 2*u**2 Collect the terms in 81*w - 2 + 2 + 50*w. 131*w Collect the terms in -845*r + r**2 + 845*r. r**2 Collect the terms in -1184*r**2 + 3556*r**2 - 1185*r**2 - 1188*r**2. -r**2 Collect the terms in 6*w + 5*w + 2*w**3 - 11*w. 2*w**3 Collect the terms in 10*p**3 - 2*p**3 + 10*p**3 + 15*p**3. 33*p**3 Collect the terms in -445*d**3 + 2*d**2 - 2*d**2 + 495*d**3. 50*d**3 Collect the terms in -9*u - 17*u + 2*u. -24*u Collect the terms in -2*a**2 + 2*a**2 - 6585*a**3 + 6587*a**3. 2*a**3 Collect the terms in 28*j**2 + 471*j - 471*j. 28*j**2 Collect the terms in -124*y + 42*y + 29*y + 34*y. -19*y Collect the terms in 8*t - 4 + 5*t - 5*t. 8*t - 4 Collect the terms in 328 - 328 - 25*l - 414*l. -439*l Collect the terms in 26*m**2 + 4 - 7*m**2 + 6*m**2 - 4. 25*m**2 Collect the terms in 829*c**2 - 441*c**2 - 389*c**2. -c**2 Collect the terms in -23*g**3 - 2*g**2 + 2*g**2 - 67*g**3. -90*g**3 Collect the terms in -185*b + 92*b + 90*b. -3*b Collect the terms in -44*z**3 - 22*z**3 - 15*z**3 - 12*z**3. -93*z**3 Collect the terms in -2502*i + 2502*i + 24*i**2. 24*i**2 Collect the terms in -101 + 5*p - p**3 - p - 4*p. -p
{ "pile_set_name": "DM Mathematics" }
3 = -2*s - 3*l, -9 = -s - l. What is the units digit of (-4)/8*(0 - s)? 2 Suppose -1 = -u + 7. What is the units digit of u? 8 Let i = 8 - 6. Suppose -3 = q + 2*w - 5, i*q + 3*w - 5 = 0. What is the units digit of q? 4 Suppose 45 = -3*s + 8*s. Suppose i - s = -1. What is the units digit of i? 8 Let t(k) = k**2 - k + 4. Let r be t(-4). Suppose 4*o - 3*l = -0*o + 14, -4*o + r = 2*l. Suppose -4*z + p = -5, -p + 20 = o*z + 7. What is the units digit of z? 2 Suppose 2*q - q - 3*g = 20, -q - 4*g - 8 = 0. What is the units digit of ((-18)/q)/(1/(-4))? 9 What is the units digit of 2/(-9) + 47/9? 5 Let s = -17 - -21. Suppose -2*x = -2*u - x + 35, -5*u = -s*x - 80. What is the units digit of u? 0 Suppose v + 0*v + 16 = 0. Let z = -10 - v. Let x = z - 5. What is the units digit of x? 1 Suppose 0*l - 92 = -4*l. What is the units digit of l? 3 Suppose -o + 19 = 3*b, -o + 3*o = -2*b + 18. What is the tens digit of 10/b - 44/(-2)? 2 Suppose 12 = 3*h, 5*u - 4*u - 19 = -4*h. Suppose r = j + 8, u*j - 1 + 10 = -2*r. Suppose 0 = -4*w + r*w + 3. What is the units digit of w? 3 Let n = -9 + 15. Let o(q) = -7*q**2 - 9. Let u(v) = -v**2 - v. Let t(i) = -o(i) + 6*u(i). What is the units digit of t(n)? 9 Suppose -5 = 4*h + 5*x + 1, 10 = 4*h - 3*x. Let z be -3*(3/(-3) + 4). What is the units digit of (h - z)*(-1 - -2)? 0 Let a(c) be the second derivative of -c**4/12 - c**3 + 4*c**2 + 3*c. What is the units digit of a(-6)? 8 Suppose -4*h = -3*d - 92, 3*d - 34 = -h + d. Let r = -13 + h. What is the units digit of r? 3 Suppose 0 = -14*k + 16*k - 110. What is the tens digit of k? 5 Suppose 3*f = 4*q - 53 - 17, -3*q + 51 = -3*f. What is the tens digit of q? 1 Suppose -5*k - 28 = -o, -3*o + 5*k = -15 - 19. Suppose -1 = -2*i + 3. Suppose 2*q - 35 = 5*g, -2*q + o*g - i*g = -15. What is the units digit of q? 5 Let n be (-30)/(-25)*5/(-2). Let b be ((-12)/(-10))/(n/15). What is the units digit of 2 + 3*(-4)/b? 4 Let v = -50 + 30. What is the units digit of (-85)/v + 3/4? 5 What is the tens digit of (296/(-12))/(4/(-6))? 3 Let w(l) = l**2 + 3*l + 2. What is the tens digit of w(-5)? 1 Let x(k) be the first derivative of k**4/4 + 17*k**3/3 - 21*k**2/2 - 19*k - 6. What is the tens digit of x(-18)? 3 Let k be (-9)/2*10/(-15). Suppose k*r + 103 = 5*u + 2*r, -r - 82 = -4*u. What is the tens digit of u? 2 Let c(n) = n + 10. What is the units digit of c(-9)? 1 Let x = 5 + -3. Suppose 2*w + x = -0*w. Let k(s) = -11*s**3 + s**2 + 2*s + 1. What is the units digit of k(w)? 1 Let l(r) = 3*r + 125. Let d be l(0). Suppose -5*j = 25, 0 = 5*q - 5*j - 0*j - d. What is the units digit of q? 0 Suppose 34*p - 39*p = -125. What is the tens digit of p? 2 Let p(m) = -m**3 - 3*m**2 + 4*m. Let x be p(-4). Suppose 0 = -x*q - q + 19. What is the units digit of q? 9 Let j(x) = -x + 3. Let b be j(5). Let a be b + 2 - (-2 + -6). Suppose -2*t + 14 = -a. What is the tens digit of t? 1 Let r(b) = -22*b - 1. What is the units digit of r(-1)? 1 Suppose -h + 4 = -0. Let n be 2/(-4)*h/1. Let j = n + 3. What is the units digit of j? 1 Suppose -2*d = -5*w + d + 7, 5 = 5*w - 5*d. Suppose -115 = -3*v - w*v - 2*r, 5*r = -25. What is the tens digit of v? 2 Suppose -b = -f + 4*f - 8, 0 = b + 4. Let r = 8 - f. What is the units digit of r? 4 Suppose z + 10 = 2*r - z, 1 = -z. Suppose 2*w - 2*g = -r*g + 22, -2*w = 3*g - 19. What is the units digit of w? 4 Let w(x) = -x**3 - 6*x**2 - 3*x + 3. What is the units digit of w(-6)? 1 Suppose -2*h = x - 109, -4*x = -3*h + 38 + 142. What is the tens digit of h? 5 Let j = -7 + 1. Let r(f) be the first derivative of f**3/3 + 5*f**2/2 - 5*f + 1. What is the units digit of r(j)? 1 Suppose -2*m + 57 = 5*k, -3*m + k = 5*k - 103. Let h = -21 + m. What is the units digit of h? 0 Let j = 2 + 4. Suppose 0 = 3*x - j*x + 45. Let c = x - 8. What is the units digit of c? 7 Suppose -2*d + 20 = -0*d. What is the tens digit of d? 1 Suppose 708 = 5*n + 33. What is the tens digit of n? 3 Suppose -c - 6 + 5 = 0. Let p(y) = 3*y**2 - y. Let v be p(c). Suppose 0 = 5*h + f - 50, v*h - 55 = 4*f + 9. What is the units digit of h? 1 Let p(n) = -n**3 + 5*n**2 - 5*n + 2. Let z be p(4). What is the units digit of (z + -6)/2 + 44? 0 Let d(v) = v**2 - 9*v - 22. What is the tens digit of d(17)? 1 Suppose 6*g - 138 = 18. What is the tens digit of g? 2 Let f be 2 - (-1 - 0)*9. Let t = -5 + f. What is the units digit of t? 6 Suppose -3*q + 4*c = -23 + 4, -2*q = -5*c - 15. Suppose 0 = -0*g - q*g + 20. Suppose 0 - 12 = -g*l. What is the units digit of l? 3 Let h = 113 + -83. What is the units digit of h? 0 Let l be (0 + 3)*308/21. Let t = 70 - l. What is the tens digit of t? 2 Let v(i) = 73*i + 5. What is the tens digit of v(1)? 7 Let v(d) = d**2 - 5*d + 4. What is the tens digit of v(-6)? 7 Let p be 8/(-36) + (-7)/9. What is the tens digit of (-2)/p - (-50 - 1)? 5 Suppose -2*l + 1 = -3. Suppose 4*r - 22 + 2 = -l*y, r - y = -1. What is the units digit of r? 3 Let j = 20 - 12. What is the units digit of j? 8 Suppose 0 = 27*t - 28*t + 151. What is the tens digit of t? 5 Let q be ((-3)/9)/(1/(-15)). Let p be -2 + q - (3 - 2). Let w = p + 0. What is the units digit of w? 2 Let w(y) = y**3 + 2*y**2 - 6*y - 1. Let o be w(-4). Let a = 15 + o. What is the units digit of a? 6 What is the units digit of 122 + (-5)/(-1 + 6)? 1 Suppose 150 = -5*o + 5*p, -4*p - 33 - 9 = 2*o. What is the units digit of (0 - o/6)*2? 9 Let r = 30 + -50. Let v = -7 - r. What is the units digit of v? 3 What is the hundreds digit of (117*1 - 0) + (2 - 0)? 1 Suppose 0 = 2*b, 2*b = -5*x + 20 - 5. Let u(v) = v**3 - v**2 - 4. What is the tens digit of u(x)? 1 Let f = 1 + -3. Let i(o) = o**2 + 2*o + 1. What is the units digit of i(f)? 1 Let z(f) = f**2 + 7*f + 6. Let m be z(-6). Suppose 0 = 3*p + 3*g, m*p - 3*p = -3*g. What is the units digit of (p + (-2)/(-4))*2? 1 Let i be (14 - 3)/((-2)/(-8)). Suppose -2*h + 6*h - i = 0. What is the tens digit of h? 1 Let q(z) = 4*z + 14. Let m(g) = -5*g - 15. Let h(w) = 2*m(w) + 3*q(w). What is the tens digit of h(10)? 3 Let y(j) = 2*j + 2. Suppose -4*b = -9 - 11. What is the tens digit of y(b)? 1 Let p be 5/4*(-5 - -13). What is the tens digit of (4/p)/(2/50)? 1 Suppose 1 = q - d, -2*q + 6*q + 3*d - 25 = 0. Suppose a + 3*k - 26 = 0, -a = q*k - 2*k - 22. What is the tens digit of a? 1 Let x(p) = p**2 - p + 31. Let v be x(0). Suppose -3*n - 4*t = 2*n + v, -4*n - 5*t - 32 = 0. What is the tens digit of 34/(0/n + 2)? 1 Let z be 1 - 1/(1/(-6)). Let j(y) = -y**3 + 7*y**2 + 8. What is the units digit of j(z)? 8 Let j(g) be the first derivative of -3*g**2/2 - 2*g + 1. Let y be j(-3). Suppose 5*u + y - 22 = 0. What is the units digit of u? 3 Let x = -94 - -192. What is the tens digit of x? 9 Let k(t) = t**2 + 2*t - 3. Let r = -12 + 8. What is the units digit of k(r)? 5 Let q(n) be the first derivative of -3*n**2/2 - n - 1. Let k be q(1). What is the units digit of ((-15)/10)/(3/k)? 2 Let v = 84 + -62. What is the units digit of v? 2 Let v(f) = f**2 - 5*f + 7. Suppose -2*c = 1 - 7. Let q(b) = 3*b - 4. Let u be q(c). What is the units digit of v(u)? 7 Let k = 5 + 0. Suppose -5*h + 53 = -y, k*h = h + y + 42. What is the units digit of h? 1 Let t be (-3)/((-6)/4) + 0. Suppose -5*v = -t*z - 3, 2 = -3*z + 5*v - 0. What is the units digit of z/1 - (-1 + -1)? 3 Let b(y) = -y**2 - 7*y - 5. Let o be b(-5). Let x = 7 + -2. Suppose 3*f = 4*r - 4, -o = -x*r + 4*f - 1. What is the units digit of r? 4 Let j = 115 - 48. What is the units digit of j? 7 Let a = -2 - -2. Suppose -3*p + 75 = -a*p. What is the units digit of p? 5 Let q = 46 - -40. What is the units digit of q? 6 Let r(s) be the first derivative of -s**4/4 + 5*s**3/3 - s**2 + 2. What is the units digit of r(4)? 8 Let p be (25/20)/((-2)/(-16)). Let j = 15 - p. Let u(z) = -z**2 + 7*z - 4. What is the units digit of u(j)? 6 Let p be 8/3*33/2. What is the units digit of (-224)/(-22) + (-8)/p? 0 Let z be (-2)/7 - 2/(-7). Let c = z - -3. Suppose g - 5 = -0*g - u, c*g - 31 = u. What is the units digit of g? 9 Suppose 0*n + 2*n = 5*p - 12, -4*n - 2 = p. Let z be (p + -2 - 2) + -2. Let y(f) = -f + 1. What is the units digit of y(z)? 5 Let q be (-288)/(-28) + 2/(-7). Let l(g) = 1 - 6*g**3 + 5*g**3 + 2*g**3 - q*g + 8*g**2. What is the units digit of l(-9)? 0 Suppose -3*n + 20 = -h, -4*n + 2*h +
{ "pile_set_name": "DM Mathematics" }
replacement from {u: 4, p: 1, k: 8}. What is prob of sequence kk? 14/39 Calculate prob of sequence hhv when three letters picked without replacement from {v: 3, d: 1, t: 6, h: 3}. 3/286 Calculate prob of sequence asa when three letters picked without replacement from rraraisaarlarsa. 2/91 Three letters picked without replacement from ddxxxqxxrdxdr. Give prob of sequence rxr. 1/143 Three letters picked without replacement from nnhnnrrnnnhhvnnvnvj. Give prob of sequence hhr. 2/969 Three letters picked without replacement from {u: 2, p: 1, a: 2, d: 3, i: 4}. Give prob of sequence aup. 1/330 Two letters picked without replacement from bfoss. What is prob of sequence fo? 1/20 Calculate prob of sequence aim when three letters picked without replacement from {a: 2, m: 1, b: 3, r: 1, i: 1, z: 4}. 1/660 Calculate prob of sequence tttx when four letters picked without replacement from xxtxxtxxtt. 1/35 Calculate prob of sequence jue when three letters picked without replacement from {f: 2, n: 1, u: 1, e: 2, j: 1}. 1/105 Three letters picked without replacement from xgagggxdgggaagaggx. What is prob of sequence ggx? 15/272 Two letters picked without replacement from qqqcqqqqcc. Give prob of sequence qq. 7/15 Four letters picked without replacement from {m: 1, o: 2, x: 3, q: 5, e: 5}. Give prob of sequence moxx. 1/3640 Calculate prob of sequence by when two letters picked without replacement from {y: 1, c: 3, b: 5, l: 3}. 5/132 What is prob of sequence lqqx when four letters picked without replacement from qlqqx? 1/20 What is prob of sequence hlxl when four letters picked without replacement from {x: 1, h: 7, l: 10}? 7/816 Two letters picked without replacement from tttjjtjt. Give prob of sequence jt. 15/56 What is prob of sequence rysm when four letters picked without replacement from {s: 1, m: 2, t: 1, b: 1, r: 1, y: 1}? 1/420 Calculate prob of sequence bjj when three letters picked without replacement from {b: 6, c: 2, j: 2, z: 2}. 1/110 Two letters picked without replacement from ksh. What is prob of sequence ks? 1/6 What is prob of sequence bzz when three letters picked without replacement from qbgzzzqqqqqfzbq? 4/455 Three letters picked without replacement from jjooiaiioioiii. What is prob of sequence ijj? 1/156 Two letters picked without replacement from swosmeo. What is prob of sequence os? 2/21 Two letters picked without replacement from aaaaa. Give prob of sequence aa. 1 Two letters picked without replacement from {d: 2, g: 6, q: 4}. Give prob of sequence dg. 1/11 Three letters picked without replacement from {y: 4, a: 3, l: 11}. What is prob of sequence laa? 11/816 Two letters picked without replacement from uuuuuurur. Give prob of sequence rr. 1/36 Calculate prob of sequence ayuo when four letters picked without replacement from ahcchyaauuohay. 2/3003 Two letters picked without replacement from {n: 1, x: 2}. What is prob of sequence nx? 1/3 Four letters picked without replacement from {q: 4, t: 2, o: 6}. Give prob of sequence oqqo. 1/33 Two letters picked without replacement from {q: 11, v: 1}. What is prob of sequence qv? 1/12 Two letters picked without replacement from ddzdzzz. What is prob of sequence zd? 2/7 Calculate prob of sequence ms when two letters picked without replacement from nsssavams. 1/18 What is prob of sequence pup when three letters picked without replacement from {k: 3, p: 1, u: 1}? 0 Two letters picked without replacement from {z: 6}. Give prob of sequence zz. 1 Two letters picked without replacement from {m: 9, r: 7, s: 2}. What is prob of sequence rr? 7/51 Four letters picked without replacement from dwtdwwdwwwdtwtddw. Give prob of sequence dddt. 3/476 Two letters picked without replacement from {x: 2, v: 6}. Give prob of sequence xv. 3/14 Calculate prob of sequence vqqv when four letters picked without replacement from {k: 2, v: 3, j: 1, q: 4}. 1/70 Three letters picked without replacement from gggggguugugguggggg. What is prob of sequence guu? 7/204 Two letters picked without replacement from {f: 2, n: 12, h: 3}. Give prob of sequence hh. 3/136 Calculate prob of sequence gy when two letters picked without replacement from {d: 1, y: 2, g: 4, o: 1, v: 1}. 1/9 What is prob of sequence hvaq when four letters picked without replacement from vttqtvhtqzaathqz? 1/1820 Four letters picked without replacement from dnndnd. What is prob of sequence dnnn? 1/20 Two letters picked without replacement from rrfrrrrrrrrrrrr. What is prob of sequence rf? 1/15 Calculate prob of sequence hu when two letters picked without replacement from nunrrunnnnhn. 1/66 Calculate prob of sequence gg when two letters picked without replacement from {a: 4, m: 2, k: 4, g: 3, i: 3}. 1/40 Three letters picked without replacement from {g: 2, r: 3, f: 3, k: 1, u: 3, p: 2}. Give prob of sequence pfk. 1/364 What is prob of sequence wv when two letters picked without replacement from cwawcwwcdwagwwgwgwv? 1/38 Four letters picked without replacement from ddzdzdzzdddzz. Give prob of sequence zddd. 21/286 Calculate prob of sequence er when two letters picked without replacement from zemewbzmrerezzez. 1/24 Three letters picked without replacement from oonkokooxooonj. Give prob of sequence jkk. 1/1092 Four letters picked without replacement from qqqqqq. What is prob of sequence qqqq? 1 What is prob of sequence ee when two letters picked without replacement from {e: 7, v: 5, w: 4, a: 3}? 7/57 What is prob of sequence zzyy when four letters picked without replacement from yyyz? 0 Three letters picked without replacement from {f: 3, o: 9, t: 3, j: 1, z: 2, b: 1}. Give prob of sequence zjt. 1/969 Two letters picked without replacement from {r: 1, x: 19}. What is prob of sequence rx? 1/20 Two letters picked without replacement from wgggrgwgggwl. What is prob of sequence wr? 1/44 What is prob of sequence bb when two letters picked without replacement from {b: 3}? 1 Calculate prob of sequence oo when two letters picked without replacement from {q: 1, o: 14}. 13/15 What is prob of sequence pm when two letters picked without replacement from ppmpmap? 4/21 What is prob of sequence ncn when three letters picked without replacement from {n: 13, c: 5}? 65/408 Calculate prob of sequence oa when two letters picked without replacement from {a: 6, o: 12}. 4/17 Four letters picked without replacement from {m: 7, h: 5, r: 4}. Give prob of sequence rmhr. 1/104 Calculate prob of sequence mbcv when four letters picked without replacement from {b: 3, c: 1, o: 4, m: 5, v: 1}. 5/8008 Two letters picked without replacement from {z: 2, c: 11, b: 2}. Give prob of sequence zz. 1/105 Calculate prob of sequence dl when two letters picked without replacement from ldlldllllddddd. 7/26 What is prob of sequence llll when four letters picked without replacement from {l: 9}? 1 Three letters picked without replacement from kxxxxxkxxx. Give prob of sequence kxk. 1/45 Four letters picked without replacement from {l: 3, f: 3}. Give prob of sequence fflf. 1/20 Three letters picked without replacement from {e: 5, n: 4, p: 1, o: 1}. Give prob of sequence eep. 2/99 What is prob of sequence tcqc when four letters picked without replacement from {c: 2, p: 3, q: 4, t: 1}? 1/630 Two letters picked without replacement from {d: 2, r: 1, b: 2, v: 1, t: 1, f: 1}. What is prob of sequence tb? 1/28 Three letters picked without replacement from gzzggzzzp. Give prob of sequence zzp. 5/126 Three letters picked without replacement from {t: 4, w: 3}. What is prob of sequence ttt? 4/35 Two letters picked without replacement from sssggrgrgg. Give prob of sequence gs. 1/6 Calculate prob of sequence ss when two letters picked without replacement from {r: 5, s: 14}. 91/171 Two letters picked without replacement from {v: 7, c: 3, n: 1, r: 3}. Give prob of sequence vr. 3/26 What is prob of sequence xxzx when four letters picked without replacement from xxxxzxxz? 1/7 What is prob of sequence hs when two letters picked without replacement from {b: 12, h: 5, s: 1}? 5/306 Three letters picked without replacement from bbzhzzz. Give prob of sequence bzz. 4/35 Four letters picked without replacement from vsvovoccavcr. Give prob of sequence voro. 1/1485 Two letters picked without replacement from {f: 7, l: 1}. Give prob of sequence ff. 3
{ "pile_set_name": "DM Mathematics" }
2*v - f - 3, 5*f = -2*v - u. Give i(v). -3 Suppose 0*o - 7*o = -14. Let l(n) be the first derivative of -1/4*n**4 + n**3 + 3 + 2*n**o - n. Determine l(4). -1 Let n(v) be the first derivative of 7/2*v**2 - 6*v - 1/4*v**4 + 2*v**3 - 3. Give n(7). -6 Let q(c) = -6*c**3 + 6*c**2. Let j(p) be the first derivative of -5*p**4/4 + 2*p**3 - 3. Let l(i) = 5*j(i) - 4*q(i). Give l(6). 0 Let x = 7 - 13. Let w = -5 - x. Suppose m = -5*f + w - 4, 6 = -2*m - 3*f. Let z(t) = -3*t - 2. Calculate z(m). 7 Let m(n) = -7*n**3 + 2 + 2*n**3 + 4*n**3 + 5*n**2. Calculate m(5). 2 Let i(s) = -s - 11. Let d(g) = -g - 11. Let n(a) = -3*d(a) + 4*i(a). Determine n(0). -11 Let v = -311/120 - -21/8. Let m(b) be the third derivative of v*b**5 - 1/120*b**6 + 0 + 2/3*b**3 + 0*b - b**2 + 0*b**4. What is m(3)? -5 Let j be 4 + 2*2/(-4). Suppose -j*w - u - 5 = -1, -2*w = -4*u + 12. Let q(z) = 4*z - 1. Let v(o) = 7*o - 2. Let g(d) = -5*q(d) + 3*v(d). What is g(w)? -3 Let f = -5 + 19. Let x = f + -8. Let s(u) = 0 + 2*u**2 - x*u**2 + 5*u - 4 + u**3. Give s(3). 2 Suppose 10 = 3*z - 14. Let s = -17 + z. Let a be 24/s*9/6. Let r(l) = -l**2 - 4*l + 1. Calculate r(a). 1 Let b(r) be the first derivative of -r**4/4 + r**3/3 - r**2/2 - 20*r - 35. What is b(0)? -20 Suppose -5*q - 18 = -2*q. Let w(l) = -l**2 - 6*l + 3. Determine w(q). 3 Let r = -22 - -18. Let u(l) = -3*l - 1. Calculate u(r). 11 Let h(f) = -f - 1 - 32*f**3 - f**2 + 69*f**3 - 28*f**3. Calculate h(-1). -10 Let j be (-2)/(-5) - (-235)/(-25). Let w(d) = 3*d + 1. Let t(y) = y**2 + 13*y + 5. Let q(l) = j*w(l) + 2*t(l). Determine q(1). 2 Let h(q) = -2*q**3 + 0*q + 2 - 2*q**2 + 4*q - 2*q - q. Suppose 2*y - 4 = -0*n + 2*n, -3*n - 20 = 4*y. Determine h(y). 8 Let q(v) be the first derivative of 4/3*v**3 + 0*v**2 - 1/4*v**4 - 6 - 2*v. Determine q(3). 7 Let i = -2 + 7. Suppose 5*o + 2*k = i, 3*k + 10 + 11 = 2*o. Let y(c) = 3*c + 1. Determine y(o). 10 Suppose 3*q - 148 = -q. Suppose g = -z + 21, 0*z + z + 5*g = q. Let b(y) = -4 + z + y - 2. Calculate b(-5). 6 Let s(l) = l**3 + 6*l**2 - 2*l - 7. Let y be 2*(-9)/(-4)*-2. Let u = -15 - y. Give s(u). 5 Let f(m) be the first derivative of -m**6/120 + m**5/15 - m**4/24 - m**3/6 + m**2 + 1. Let k(b) be the second derivative of f(b). Calculate k(3). 5 Let a(h) = -2*h - 4*h - 6*h**2 - h**3 + h + h + 3. Let f(o) = o - 1. Let s(c) = -2*c**2 - 2*c. Let m be s(-2). Let w be f(m). Give a(w). -2 Let n(v) = v**2 + 7*v + 7. Let q be n(-7). Let x(j) = -5*j**3 - 10*j - 8 + 3*j + 4*j**3 + 8*j**2. Calculate x(q). -8 Suppose m - 25 = 4*r, -2*r + m + 5 = 4*m. Let h(j) be the second derivative of -7/2*j**2 - 1/3*j**3 + 0 - j. What is h(r)? 3 Let x(b) = 3*b**2 - 7*b + 9. Let a(l) = l**2 - 3*l + 4. Let f(u) = -5*a(u) + 2*x(u). Let r = 5 + -5. Give f(r). -2 Suppose -2*n = w - 4*n - 13, -2 = w + n. Suppose 3*a = 2*z + 10, 2*z + a + 2*a - 14 = 0. Let q(l) = -w*l - z - 9*l**2 + 2*l + 0. Determine q(-1). -9 Let b(v) = -v**2 + 3*v - 4. Let x be b(3). Let u(a) = a - 2. Determine u(x). -6 Let u(h) = -h**2 - 2*h - 4. Let i be -4*(66/24 + -2). Calculate u(i). -7 Let t(u) = 12 - 8*u**2 - 9 - 4. What is t(1)? -9 Let o(q) = -11*q**2 - 19*q - 9. Let x(p) = 5*p**2 + 9*p + 4. Let b(w) = -6*o(w) - 13*x(w). Calculate b(2). 0 Suppose -2*j + d = -0*d - 9, j + 3 = -2*d. Suppose k + 1 = 5, 2*n + j*k - 2 = 0. Let l(w) = -2*w - 4. What is l(n)? 6 Let d(u) = -u**3 - u**2 + 1. Let x(p) = p**3 + p**2 - 7*p - 2. Let n be x(-3). Determine d(n). -1 Let a(s) = -s. Let o be a(-2). Let d(p) = 2*p - 2. Let m(t) = t - 2. Let g(n) = 2*d(n) - 3*m(n). Determine g(o). 4 Let j(s) be the second derivative of -s**5/20 - 2*s**4/3 - 4*s**3/3 - 4*s**2 + 7*s. Give j(-7). -1 Suppose -f + 4*d + 12 = 4, 3*d = -f - 20. Let o be (f/(-3))/((-2)/(-3)). Let s(u) = 2*u - 6. Give s(o). 2 Let p(m) = m**2 - 5*m + 2. Let t = 17 - 11. Determine p(t). 8 Let a(b) = b + 2. Let x be (-1)/((-1)/14*2). Suppose -3*q - x = 4*h - 0*q, 2*q + 12 = h. Suppose 0 = 3*s + h*s + 15. What is a(s)? -1 Let u(r) be the third derivative of r**5/60 + r**4/6 + r**3/6 + r**2. Let z be u(-4). Let i(n) = -z - 2 - n + 6. What is i(3)? 0 Suppose 3*n - 15 = 2*n - 3*o, 0 = -3*n - 3*o + 27. Suppose -3*k - 4 = 4*v, -4*v + 0 - 8 = 4*k. Let w(a) = 2 + n*a - 1 + a**v + 1. Determine w(-4). -6 Let v be ((-3)/(-6) - 2)*-2. Suppose n = -3*n + 3*s + 11, 5*s + 11 = v*n. Let w(t) = 3*t - 1. Calculate w(n). 5 Let z(w) = w**2 - 4. Let t = 9 - 6. Suppose t*i = -2*i. Suppose -6*s + 5*s = i. Calculate z(s). -4 Let a = -7 - 6. Let l = a + 19. Let v(m) = -m**2 + 8*m - 9. Determine v(l). 3 Let o(w) = w**3 + w + 1. Let q(y) = -4*y**3 - 8*y**2 - 5*y - 14. Let d(c) = -3*o(c) - q(c). Determine d(-8). -5 Let h(m) = -m**3 + 4*m**2 - 3. Let d(j) = j**2 + 5*j - 9. Let q be d(-7). Let l(o) = q*o - 1 + 2*o**3 + o**3 - 2*o**3 - 5*o**2. Let r be l(4). Calculate h(r). 6 Let y(u) = u**3 - 9*u**2 + u - 3. Suppose x + d - 22 = -x, 0 = 3*x - 5*d - 7. Calculate y(x). 6 Let n(v) = -2*v + 11. Let z(y) = -y + 6. Let m(d) = 4*n(d) - 7*z(d). Give m(-2). 4 Let h(d) = -2*d - 4. Let r(v) = v + 3. Let w be r(8). Let f = w - 6. Suppose -3*q - 3*z = 0, 0 = -0*q + 3*q - f*z + 40. What is h(q)? 6 Let b be (2/(-4))/((-1)/2). Let q(s) = -7*s**3 + 11*s**2 + 2*s - 24*s**2 + 12*s**2 - 1. Calculate q(b). -7 Let k(a) = a + 5. Suppose f + 0 = -1. Let d = f - 1. Let t = d + -2. Determine k(t). 1 Let q be (-6)/12*(-6)/1. Let t(x) = 1 + 4*x**3 + 0*x**3 - 2 - q*x**3. What is t(-1)? -2 Let o(l) = 3*l**3 + l**2 - 3*l + 1. Let k(u) = -10*u**3 - 2*u**2 + 10*u - 2. Let z(r) = 2*k(r) + 7*o(r). Give z(-4). -9 Let b be 3/(-3)*(-3)/1. Suppose 4*f = b*f. Let j(r) be the first derivative of -r**3/3 - 2*r - 11. What is j(f)? -2 Let t(p) = p + 1. Let v(w) = w**2 + 3*w + 1. Let x be v(-3). Calculate t(x). 2 Let a(v) be the second derivative of -v**4/3 - v**3/6 - 8*v. Suppose -4*s + 3*s = -4. Suppose 2*l + 5*h + 14 = -s, -5*h = -l + 21. Determine a(l). -5 Let y(j) = -3*j + 1. Let k(o) = -10*o + 4. Let q(a) = -2*k(a) + 7*y(a). Suppose 2*i + 14 = 5*x - 9*x, 0 = -2*x - 6. Give q(i). 0 Let f be 32/14 - 14/49. Let y(v) be the first derivative of 2*v**f + 1/4*v**4 - 3 - 2*v**3 + 4*v. Determine y(5). -1 Let n(t) = 2*t - 2. Let x(b) = b - 2. Let l(i) = -3*n(i) + 4*x(i). Let d(v) = v + 6. Let r = -7 + -1. Let s be d(r). Determine l(s). 2 Let l(s) = 1. Let y(b) = -4*b + 5. Suppose -2*o + 352 = -6*o. Let c be 6/(-21) - o/14. Let t(x) = c*l(x) - y(x). Determine t(1). 5 Let w(o) = -o**2 + 70*o - 1 - 40*o - 36*o. What is w(-5)? 4 Suppose -7*o + 16 = -12. Let m(n) = -n**2 + 6*n - 3. Give m(o). 5 Let d(w) = 0*w + 5*w**2 + 2 - w - 3*w - w**3. Let s be d(4). Let p(i) = -s*i - 3*i - 1 + 3*i. Determine p(4). -9 Let d = 7 + -2. Let k(n) = -3 - 5 + n - 2 + 3. Calculate k(d). -2 Suppose 0 = 5*t - p - 37, 0*t - 3*t = 3*p - 15. Let r(a) = -a + 8. Determine r(t). 1 Suppose -b + 2*b - 9 = i, 4*b + 4*i - 20 = 0. Suppose 0 = 5*u + 3*a + 2*a + 15, 0 = -u + a + b. Suppose -u = 5*k - 27. Let m(q) = q**2 - 5*q + 7. What is m(k)? 7 Let x(p) = p**3 + 5*p**2 - 5*p + 7. Let w be x(-6). Let y(v) = 4*v - 2. Let k be y(w). Let z(u) = -u**2 + 1. Give z(k). -3 Suppose 5*i + 3*q = 6, -2*i = -q + 1 + 1. Let y(f) = -5*f + 3*f + 0*f - 1 + i*f**2 + f**2. What is y(4)? 7 Let d(a) = -1 + 2 + 562*a + 5*a**2 - 562*a. Give d(1). 6 Let c(z) = z + 22*z**2 - z - 4*z - 23*z**2 - 2. Determine c(-3). 1 Let n(y) = -y**2 - 5*y + 7. Let l be (-48)/6 + 3/1. Calculate n(l). 7 Let g(w) = -w**3 + 5*w**2 - 4*w - 1. Suppose -4 = -4*b - 4*v - 16, 4*v + 17 = -5*b. Let p = b + 1. Let j = p - -8. What is g(j)? -1 Let t(z) = -1. Let f(m) = 5*m + 1 + 7 - 2*m - 2. Let d(c) = f(c) + 4*t(c). What is d(-2)? -4 Let s(g) be the second derivative of g**4/6 - g**3/6 + g**2/2 + 19*g. Calculate s(-3). 22 Let t(p) = p**3 + 2*p**2 + 5 - 1 - 6*p + 2*p**2. Suppose 0 = 7*r - 2*r + 25. Calculate t(r). 9 Let g(j) = 6*j. Suppose 0 = -4*r + 8*r - 8. Let z be 1*-2 + -1 + r. Give g(z). -6 Let p = 49 - 50. Let j(g) = -19*g**3 + 3*g**2 + 7*g + 2. Let b(f) = -29*f**3 + 5*f**2 + 11*f + 3. Let a(h) = -5*b(h) + 8*j(h). What is a(p)? 6 Let r(b) = b**3 + 6*b**2 + 6*b + 6. Let o be r(-5). Let g(h) = -13*h**2 + 2*h - 1. Let s(y) = -27*y**2 + 4*y - 2. Let i(m) = -9*g(m) + 4*s(m). Calculate i(o). 8 Let d(l) = l + 6. Suppose 0 = -4*k + 2*m - 24, 3*k + 17 = -3*m + 4*m. Determine d(k).
{ "pile_set_name": "DM Mathematics" }
Determine s(b(k)). -7*k**2 Let o(h) = -131*h**2 + 11 + 126*h**2 - 11. Let g(p) be the second derivative of -5*p**3/2 + 3*p**2/2 - 10*p - 4. Calculate o(g(y)). -1125*y**2 + 450*y - 45 Let s(g) = 4486*g. Let f(r) = -1505*r. Give f(s(n)). -6751430*n Let a(c) = -43*c - 12. Let y(g) = 15*g + 4. Let q(o) = -4*a(o) - 11*y(o). Let f(w) = 57*w + 33. Let m(k) = 4*f(k) - 33*q(k). Let v(x) = -x. Determine m(v(r)). 3*r Let g(s) = 7*s - 64. Let v(u) = u - 8. Let h(b) = g(b) - 8*v(b). Let l(m) = 20*m**2 + 15*m + 1. Calculate h(l(d)). -20*d**2 - 15*d - 1 Suppose -4*n = -16 - 32. Let g(c) = -32*c + n*c - 75*c - c. Let h(k) = -k**2. Determine g(h(o)). 96*o**2 Let g(z) = 205*z. Let i(r) = 378*r + 66. Let k(a) = 46*a + 8. Let w(j) = -4*i(j) + 33*k(j). Calculate g(w(s)). 1230*s Let w(b) = -6*b**2 + b. Let z = 407 - 361. Let g(d) = z*d - 24*d - 20*d. What is w(g(o))? -24*o**2 + 2*o Let j(x) = 5*x**2. Let s(m) be the second derivative of 17*m**4/6 - m**2 + 8*m + 7. Give j(s(i)). 5780*i**4 - 680*i**2 + 20 Let s(k) be the first derivative of 14 + 0*k**3 + 0*k + 1/24*k**4 - 5/2*k**2. Let q(c) be the second derivative of s(c). Let t(l) = -7*l - 3. Give t(q(v)). -7*v - 3 Let h = 110 - 59. Let i(c) = -c - 51 + 2*c + h. Let w(l) be the second derivative of 23*l**4/4 - 4*l. What is i(w(y))? 69*y**2 Let g(a) = 128499*a**2. Let w(b) = 28*b**2. What is g(w(k))? 100743216*k**4 Let s(t) be the third derivative of -7*t**5/60 - 85*t**2. Let j(z) = 14*z - 5. Let c(w) = -15*w + 4. Let h(r) = 5*c(r) + 4*j(r). What is h(s(y))? 133*y**2 Let n(a) = 124*a**2 - 60124*a + 1. Let d(f) = -10*f. What is d(n(x))? -1240*x**2 + 601240*x - 10 Let m(i) = i. Let u(t) be the first derivative of -179/2*t**2 + 0*t + 25. Give u(m(k)). -179*k Let t(w) = -2*w. Let g(j) = 3*j**2 - 121*j. Let c(l) = 10*l**2 - 361*l. Let z(y) = -3*c(y) + 8*g(y). Give z(t(d)). -24*d**2 - 230*d Let z(h) = -6*h**2. Let r(t) = 1 - 1 - 334*t**2 + 2059484*t - 2059484*t. Give z(r(a)). -669336*a**4 Let i(k) = 3*k**2 + 4. Let w = 202 + -167. Let q(z) = 45*z**2 - 70. Let h(b) = -4*b**2 + 6. Let u(x) = w*h(x) + 3*q(x). Calculate u(i(c)). -45*c**4 - 120*c**2 - 80 Let t(q) be the second derivative of q**4/3 + 8*q. Let c(s) = 17*s**2 - 8*s - 16. Let n(j) = 5*j**2 - 3*j - 6. Let u(x) = -3*c(x) + 8*n(x). What is u(t(l))? -176*l**4 Let y(t) = 297 + 10018*t - 10026*t - 297. Let v(a) = 496*a. Calculate v(y(d)). -3968*d Let l(c) = -47*c + 4*c + 2 - 17*c. Let q(f) be the second derivative of -f**3/3 + f + 7. Determine q(l(w)). 120*w - 4 Suppose 2*k - 518 = -b, 7*k - 4*b - 755 = 4*k. Suppose 0*m + 5 = -m - 3*i, 2*m - 2*i - 14 = 0. Let h(x) = -257 + k + m*x. Let y(z) = 3*z**2. Determine y(h(u)). 48*u**2 Let a(d) = 7676*d. Let g(w) = -4243*w**2 - 3*w + 3*w - 4239*w**2 + 8485*w**2. What is a(g(k))? 23028*k**2 Let k(q) = -q. Let a(n) be the first derivative of 20*n**3/3 + n**2 - 120*n - 53. Let f(u) be the first derivative of a(u). Calculate k(f(v)). -40*v - 2 Let x(a) = 6 - 6 - a. Let g(p) = 134*p**2 - 2*p - 2. Let s(r) = -154*r**2 + 3*r + 3. Let i(d) = -3*g(d) - 2*s(d). Give i(x(u)). -94*u**2 Let z(p) = 6415*p. Let f(u) = -9*u - 30. Give z(f(d)). -57735*d - 192450 Let t(m) = -45*m**2 - 44*m**2 - 52*m**2 - 44*m**2 - 9 + 182*m**2. Let n(k) = -6*k. Calculate t(n(r)). -108*r**2 - 9 Let p(j) = -3*j**2 - 22465. Let b(a) = 105*a - 5. What is b(p(w))? -315*w**2 - 2358830 Let v = -3 + 3. Let j(u) = v + 0 + 2*u**2 + 0*u**2. Let h(t) be the first derivative of 8*t**2 + 365. Calculate h(j(r)). 32*r**2 Let g be ((-3)/2)/((-14)/259784). Let n(u) = 8 + 27834*u - u**2 - g*u + 3*u**2. Let r(i) = i**2. Calculate r(n(z)). 4*z**4 + 32*z**2 + 64 Let u(s) = s**2. Let h(x) = 11610138*x. What is u(h(i))? 134795304379044*i**2 Let z(w) = -90*w**2 + 2*w. Let c(l) = l - 4. Let p = 158 - 148. Let a(g) = -3*g + 10. Let d(o) = p*c(o) + 4*a(o). What is z(d(f))? -360*f**2 - 4*f Let p(o) be the first derivative of 0*o + 5/3*o**3 - 83 + 0*o**2. Let h(i) = -19*i. Determine h(p(l)). -95*l**2 Let p(l) be the first derivative of -l**3/6 + 87*l - 61. Let m(u) be the first derivative of p(u). Let f(x) = -14*x + 6. Determine m(f(z)). 14*z - 6 Let m(x) = 5*x. Let y(k) = 351*k - 495*k + 310*k - 7 + 7. Calculate m(y(v)). 830*v Let r(g) = -1790*g - 8. Let k(n) = -1186*n - 5. Let m(z) = -8*k(z) + 5*r(z). Let a(i) = 9*i. Give a(m(u)). 4842*u Let j(g) = -2*g. Let f(t) = 53 - 26 - 8 - 647*t - 4 - 13. Give j(f(k)). 1294*k - 4 Let i(n) = 4054689*n. Let p(v) = 6*v. What is i(p(d))? 24328134*d Let r(i) be the second derivative of 0 + 38*i + 15/2*i**2 + 5/6*i**4 + 0*i**3. Let o(f) be the first derivative of r(f). Let d(p) = p. Give o(d(v)). 20*v Let h(a) = 148*a**2. Suppose 51*j + 266 = 11. Let t(r) = r**2 + 5*r. Let s(k) = -k**2 - 3*k. Let v(z) = j*s(z) - 3*t(z). Give v(h(f)). 43808*f**4 Let s(q) be the third derivative of q**8/2240 - 2*q**5/15 - 3*q**2 - 11*q. Let n(v) be the third derivative of s(v). Let g(j) = 0 + 0 + j. Determine g(n(d)). 9*d**2 Let v(q) be the first derivative of -q**2/2 - 1. Let t(k) be the third derivative of 5*k**4/24 + 5*k**3/6 - 19975*k**2. Give v(t(i)). -5*i - 5 Let a(n) = 5765*n**2. Let k(d) = 6969*d**2. What is a(k(o))? 279988530165*o**4 Let l(q) = 262*q - 4. Let s(a) = -1013*a**2 - 1032*a**2 + 2043*a**2. Calculate s(l(x)). -137288*x**2 + 4192*x - 32 Let u(i) = 18*i**2. Let d(o) = -23*o + 13. Let g(k) = 11*k - 6. Let p be (3 - (1 - 2)) + -17. Let b(s) = p*g(s) - 6*d(s). What is u(b(j))? 450*j**2 Let o(d) = -34*d**2. Let l be 28*1/26 + (-7)/91. Let j(r) = 14*r - 4. Let b(k) = -3*k + 1. Let n(c) = l*j(c) + 4*b(c). What is o(n(q))? -136*q**2 Let g(w) be the third derivative of -w**5/60 + 1144*w**2. Let i(n) = -8*n**2 + 3*n. Let u(l) = l. Let d(z) = i(z) + 2*u(z). Give d(g(f)). -8*f**4 - 5*f**2 Let q(h) = 6*h + 4. Let x(t) = 48*t**2 + 280*t - 2. Give q(x(g)). 288*g**2 + 1680*g - 8 Let d(p) = -239557*p. Let z(n) = 470*n**2. Calculate z(d(j)). 26972151437030*j**2 Let q(u) be the third derivative of 0*u + 0*u**3 + 165*u**2 + 5/6*u**4 + 0. Let f(c) = -4*c. What is f(q(p))? -80*p Let t(z) = -43*z**2 + 23*z**2 + 22*z**2. Suppose 5*q - 2*w - 42 = 0, 2*w = -0*w + 8. Let f(p) = p**2 - 6*p + q*p - 4*p. Calculate f(t(s)). 4*s**4 Let t(i) = -29243355*i**2. Let h(s) = -s. Determine h(t(j)). 29243355*j**2 Let z(q) = -48*q**2 + 38*q - 9. Let i(l) = -11*l**2 + 9*l - 2. Let c(b) = 9*i(b) - 2*z(b). Let a(o) = 5*o. What is a(c(w))? -15*w**2 + 25*w Let s(j) = -18*j**2 + 10*j - 8. Let v(d) = -33*d**2 + 18*d - 15. Let g(c) = 9*s(c) - 5*v(c). Let h(y) = -3*y**2 + 18. What is h(g(o))? -27*o**4 - 54*o**2 - 9 Let v(s) = 4*s. Let n(f) = 25100*f**2 - 600*f - 10800. Let g(y) = -293*y**2 + 7*y + 126. Let z(d) = 600*g(d) + 7*n(d). What is v(z(u))? -400*u**2 Let y(w) = 3*w. Let h(o) = -9*o**2 - 34*o - 439. Determine h(y(s)). -81*s**2 - 102*s - 439 Let j(u) = -6*u**2 - 30*u - 15. Let w(q) = q**2 + 2*q + 1. Let i be (1 + -7)*-2*(-1)/(-4). Let b(s) = i*j(s) + 45*w(s). Let v(z) = 4*z. Calculate v(b(m)). 108*m**2 Let x(m) = -6327038*m. Let h(q) = 9*q. Calculate x(h(p)). -56943342*p Let j(v) = 96*v. Let u(z) = 398*z**2 - 3*z + 7. Let i(t) = -267*t**2 + 2*t - 8. Let m(x) = -3*i(x) - 2*u(x). Determine m(j(k)). 46080*k**2 + 10 Let c(u) = u. Let v(s) = -270 + 798 + 834*s - 261 - 267. Determine v(c(t)). 834*t Let j(c) be the second derivative of 13*c**3/3 + 33*c. Let x be (-1)/(4/(-8)) - 2. Let a(t) = -4*t + x*t + 0*t + 2*t. Give a(j(d)). -52*d Let o(p) = -16*p - 11*p - 5*p. Let n(f) be the first derivative of 0*f + 1/3*f**3 + 7 + 0*f**2. Calculate n(o(u)). 1024*u**2 Let h(s) = 39*s. Let c(k) = -8*k. Let f(i) = -24*c(i) - 5*h(i). Let p(a) = 18*a**2 - 3196 - 42*a**2 + 3196. Determine f(p(w)). 72*w**2 Let r(w) = 36770*w. Let z(x) = -1279*x. Give r(z(l)). -47028830*l Let m = -9 - -9. Let l = -11 - -18. Let x(d) = l*d - 4*d - 4*d + m*d. Let g(n) = -n**2. Determine g(x(p)). -p**2 Let m(k) be the second derivative of 5*k**3/6 + 430*k. Let z(i) = -i**2 - 16*i**2 + 29*i**2. What is m(z(b))? 60*b**2 Let p(j) = 7*j - 5. Let n(o) = -3*o + 2. Let w(z) = 5*n(z) + 2*p(z). Suppose 15 = 3*k + 9. Let c(l) = 3*l**2 - 4*l**k - l**2. Give c(w(t)). -2*t**2 Let m(n) = 1018651*n**2 - 1. Let y(k) = -7*k. Give m(y(w)). 49913899*w**2 - 1 Let l(c) = 292*c + 286*c - 865*c + 287*c + 2*c**2. Let z(q) = -39*q. Calculate z(l(b)). -78*b**2 Let
{ "pile_set_name": "DM Mathematics" }
, h = 4*h + g + 20 for h. -5 Solve 3*t - 2*y - 2 = 0, 0*t + 24 = t + 4*y for t. 4 Solve l - 3*a + 2*a + 2 = 0, 2 = -l + 2*a for l. -2 Solve -o + 4 = 0, 9*v = 4*v + 5*o - 40 for v. -4 Solve -4*m + 3*i = m + 10, -9 = -4*m - i for m. 1 Solve 2*u + 12 + 2 = -3*y, u = 4*y + 4 for u. -4 Solve -5*o + 3*f + 13 - 14 = 0, -2*o = 4*f - 10 for o. 1 Solve -3*o + 3*c = 227 - 221, -5*c = -o - 10 for o. 0 Solve 2*z - 10 = 2*y + 6, -y - 20 = -4*z for y. -4 Solve -5*w + 3*x - 27 = 0, -4*w + 7*x - 2*x - 32 = 0 for w. -3 Solve 0 = -4*j + 3*l + 7, 2*j - 8*l + 6*l - 4 = 0 for j. 1 Solve -16 = -5*z - 2*s, -5*z = -z - s - 18 for z. 4 Solve -8*r + 7*r - 26 = -5*c, -2*c + 4*r = -14 for c. 5 Solve 4*p + 16*r - 13*r - 19 = 0, 0 = 5*r - 5 for p. 4 Solve 0*s - 3*m = -4*s, -3*s = 2*m for s. 0 Solve -4*c - 5*d + 28 = 0, -3*c - 2*d + d = -10 for c. 2 Solve 5*f + 1 = 5*m + 6*f, -5*f - 20 = 0 for m. 1 Solve 4*i + 3*t + 5 = 0, -i + 6*t = 4*t - 7 for i. 1 Solve 6 = -2*t, 2*t = -5*y - 3*t - 10 for y. 1 Solve -g = -2*q - 6 - 3, 0 = -2*g + 2 for q. -4 Solve 0 = -4*a - 0*a + 5*w + 24, -13 = -5*a + 2*w for a. 1 Solve h = 9*n - 11*n + 3, 0 = -3*n + h + 17 for n. 4 Solve 0 = -3*b + 4*l - 20, 28*l - 5 = 27*l for b. 0 Solve -2*k = 2, 9*k - 4 = 3*g + 4*k for g. -3 Solve 5 = 2*m + 3*m + 3*p, -2*m + 5*p = -33 for m. 4 Solve 8*x + 5*b = 6*x + 13, -3*b + 14 = -5*x for x. -1 Solve 0*t + t + 2*c - 9 = 0, -2*c + 6 = 4*t for t. -1 Solve -10 = -3*d - 31*x + 26*x, 0 = -3*d - 3*x + 12 for d. 5 Solve -2*t + a - 4 = 3*t, 5*a - 20 = -4*t for t. 0 Solve 1 = -f, -14 + 0 = -4*r + 2*f for r. 3 Solve -4*g - 16 = -4*l - 0*l, -2*g - l + 4 = 0 for g. 0 Solve 0 = -a + 4*w + 14, 0 = 2*a - 4*w - 21 + 1 for a. 6 Solve t = -3*a - 10, -10 = 4*a - 2*a + t for a. 0 Solve -x - 5 = -5*o, -147*x + 150*x - 15 = 0 for o. 2 Solve -7*z + 5*h + 30 = 0, 4*z - 13 = 5*h + 2 for z. 5 Solve 5*t + 47 = 5*j + 12, -5*j - 3*t = -3 for j. 3 Solve 3 = l - 4*l, -12 = -2*s + 2*l for s. 5 Solve -5*g + 3*t = 8, -2*g + 5*t + 12 = -0 for g. -4 Solve 2*q = -3*r - 7, 3*r + 44*q + 5 = 43*q for r. -1 Solve o + 72*y + 6 = 71*y, 0 = o - 5*y - 18 for o. -2 Solve 0 = -5*r - 2*g - 10, 0*g + 3*g - 2 = r for r. -2 Solve -5*y + 20 = 0, 2*j - j = y - 7 for j. -3 Solve -2*z + 4*o - 2 = 0, 0 = -17*o + 12*o + 10 for z. 3 Solve 5*m = 2*k - 16, -m = -0*m - 4*k - 4 for m. -4 Solve 0 = -q - c + 2, q - 5*c = 4*q - 14 for q. -2 Solve -5 = 4*h - 3*m - 16, 0 = 5*h - m - 22 for h. 5 Solve -33*x + 29*x + 3*o = 2, 0 = -2*x + 5*o + 20 for x. -5 Solve 0*z - 3*s - 12 = z, -5*s = -5*z + 40 for z. 3 Solve -25*d + 22*d = -x + 12, 2*x - 6 = 0 for d. -3 Solve 4*v + 16 - 8 = 4*d, -4*v + 3*d = 7 for v. -1 Solve 5*d + 10 = -5*v, -5*d = -4*v + 19 - 0 for d. -3 Solve -4*c = -8*c - 2*l - 12, c + 4*l = -3 for c. -3 Solve 3*y + 3 = 0, -3*y = -4*j - 8*y - 21 for j. -4 Solve -2*s - s + w + 4 = 0, -w - 4 = s for s. 0 Solve -4*h - 31 = -2*r + 7*r, 4*h = -16 for r. -3 Solve -2*y = -3*c - 11, 2*c = 4*y - 35 + 17 for y. 4 Solve 0 = -5*u - z - 4, -12 = -5*u + 3*z - 0 for u. 0 Solve 3*i - 5 = -4*d, -2*i + 2 = -0*d + 2*d for i. -1 Solve 0 = -4*k + 4, -2*u + 2*k + 97 = 101 for u. -1 Solve 0 = -4*z + 3*s + 20, -5*z + 0*s - 2*s = -2 for z. 2 Solve 4*x = -x + 5*y, 0 = -3*y for x. 0 Solve -2*j + 11*p - 6*p = -15, -3*j - 20 = p for j. -5 Solve 4*a + 4*m - 32 = 0, -7*m = -4*a - 4*m - 3 for a. 3 Solve -6*g - 14 = -10*g - 2*r, -3*g - 6 = -4*r for g. 2 Solve 0 = -r + 3, -5*s - 15*r = -10*r + 5 for s. -4 Solve -3*p + 2*l + 5 = -0*l, 5 = -5*l for p. 1 Solve p - 23 = -5*j, -5*p - 3 - 2 = -5*j for p. 3 Solve 5*b = -4*t - 0*b + 18, -3*t - 3*b = -12 for t. 2 Solve -4*x + 8 = 5*a - 25, a = 5 for x. 2 Solve -5*a - 2*f + 5*f = -28, 5*f + 30 = 5*a for a. 5 Solve -3*r = 4*y - 15 + 28, 8 = -2*y for r. 1 Solve 0 = n - 3*s, -12 = 4*n + 3*s + 3 for n. -3 Solve x = 5*n - 4, 0*x - 4*x = -3*n + 16 for x. -4 Solve -2*v - 5 = 3*v, 8 = -c - 4*v for c. -4 Solve 0 = -4*u - 8, -4*y + 4*u + 20 = -8 for y. 5 Solve 3*n + 8 = 5*s, 3*n - 4*s + 3 + 4 = 0 for n. -1 Solve 2*h = 2*y + 16, -y - 2 = 3*h - 2*h for h. 3 Solve 2*z - 7*z = 2*m - 8, 0 = -3*m - 5*z + 12 for m. 4 Solve 238*v - 10 = 234*v + 2*o, -3*o = v - 20 for v. 5 Solve z - 6 = -v - 1, 5*z = 5 for v. 4 Solve -5*v + 29 = -3*d, 3*d + 3*v = 4*v - 13 for d. -3 Solve -5*h - 4 = 21, -h = 10*v - 5 for v. 1 Solve 5*s + z + 21 = 0, 5*z + 3 = s - 2*z for s. -4 Solve 5*w + i + 12 = 0, -4*i - 12 = w + w for w. -2 Solve 4*w - y + 6 = 0, -3*w + 3 = 2*w + 4*y for w. -1 Solve 3*o = -2*p - 2, -p - 3*o - 1 = -0 for p. -1 Solve 4*n + 12 = 0, 2*n + 8 = 2*c - 2*n for c. -2 Solve r - 14 = -2*u, 10*u = 9*u - 5*r + 25 for u. 5 Solve -2*v + 5*i - 118 = -139, i + 3 = v for v. -2 Solve -2*q = -5*u - 4*q + 1, -3*u - 2*q - 1 = 0 for u. 1 Solve 2*q + i = 6*i + 30, -3*q = -3*i - 27 for q. 5 Solve -4*i - 4*p - 20 = 0, 0 = 6*p - 3*p + 12 for i. -1 Solve -b - 78 = 5*y - 83, 0 = -3*y + b - 5 for y. 0 Solve 2*d - 5 = r, 5*d - 22 = 2*r - 10 for r. -1 Solve 0 = 2*w, -3*r - w = -5*w + 15 for r. -5 Solve -4*c = -3*y - 8, -5*c + 6*y - y + 10 = 0 for c. 2 Solve -5*b - 4 = 3*a, 4*a + b - 16 = 5*b for a. 2 Solve 4*m + 9*x = 4*x - 23, 5*m - x = -7 for m. -2 Solve -4*p + 10 = 2*u, -3*u - u = -3*p + 35 for p. 5 Solve -27*q + 25*q + m = -10, 3*m = -12 for q. 3 Solve -21 = -v - 2*r + 6*r, -5*v + 4*r + 25 = 0 for v. 1 Solve 4*y + 3*t = -11, 16 = y + 5*t + 6 for y. -5 Solve 11 - 36 = p - 4*d, -20 = 2*p - 2*d for p. -5 Solve 5*i + a = -19, 4*i = a - 5 - 3 for i. -3 Solve -5*b - 22*y + 23*y - 15 = 0, 5*b + 10 = 2*y for b. -4 Solve -2*t - 4*q + 12 = 0, -q = 4*t - 1 - 2 for t. 0 Solve 0 = 2*o - 0*o - p - 4, -3*o + 6 = -p for o. 2 Solve -3*k + 11 = -t, 2*k + 3*k - 10 = 0 for t. -5 Solve -x - 5*w = 2*x - 12, 4*x - 5*w = 16 for x. 4 Solve 7 = -5*k - 8, -4*p + 3*k + 17 = 0 for p. 2 Solve 4*u + 3*q = 23, 0 = 2*u - 4*q + 16 for u. 2 Solve 18 = -4*w + 2*g, 5*g - 25 = -0*g for w. -2 Solve -3*w + 4*w = 5, 3*w = -p + 10 for p. -5 Solve 0*c = 4*c + 4*i - 12, 0 = -5*c - 2*i + 6 for c. 0 Solve -3*o + 2*j = 10, 0 = -5*j + 21 + 4 for o. 0 Solve -5*u = -10*f + 12*f, -3*u - f - 1 = 0 for u. -2 Solve 0 = t - 4*x - 2, 0 = 4*x - x for t. 2 Solve 39 = 2*c + 37, 4*s + 5*c = -11 for s. -4 Solve 17 = 5*v + 3*h - 5, -2*h + 18 = 4*v for v. 5 Solve -2*r + 2*g = -4, r + 1016 = 2*g + 1017 for r. 3 Solve -3*m + 3*x + 9 = 0, -5*m - 3 + 22 = -3*x for m. 5 Solve -5*b - 8 = -183*x + 181*x, 3*x - 12 = 5*b for b. 0 Solve 5*f + 15 = -5*s, -2*f - 28 = 18*s + 26 for s. -3 Solve -20 = -5*a - 0, 2*a = -2*q + 16 for q. 4 Solve -q = -5*a + 6, -3*a + 4*a - q = -2 for a. 2 Solve 3*z + 0*z + 2 = i, 0 = 3*z - 4*i - 1 for z. -1 Solve 0 = 4*y + 4*f + 8, 3*f = 5*y + f - 4 for y. 0 Solve 8*n - g = 11*n - 9, 5*n + 5*g - 15 = 0 for n. 3 Solve -5 + 4 = -j + 3*n, 0 = 3*j + 7*n - 19 for j. 4 Solve -y - 6 = -2*i - 3*y, 2*i - 6 = y for i. 3 Solve -4*b + 2 = t + 4, -b - t + 1 = 0 for b. -1 Solve -2 = -3*v - 5*n, 8 = -0*v - 3*v + 5*n for v. -1 Solve -5*n + 2*g = 21, -95*n = -99*n + 4*g - 12 for n. -5 Solve 0 = -3*r + 7*r - 2*m + 18, 2*r - 16 = -4*m for r. -2 Solve 3*s = 2*i - 6, -3*s - 17*i - 6 = -22*i for s. -2 Solve x = -4*j, -5*j = 10 - 5 for x. 4 Solve 6 = 4*z - 2*h, 3*h - 23 = -5*z + 3*z for z. 4 Solve 16 = -w + 3*g, 0 = 52*w - 50*w + 4*g - 8 for w. -4 Solve 3*u + 15 = 0, -4*u - 3 = -4*p - u for p. -3 Solve l - 6*l + 7 = p, -3*p = -6 for l. 1 Solve k - 11 = 19*a - 22*a, 31 = 5*k + 3*a for k. 5 Solve -4*h + 9*h + 16 = -4*u, 5*u = -3*h - 20 for h. 0 Solve -2*h + 12 = 3*h - 4*p, 5*p - 2 = 2*h for h. 4 Solve -2*w + l = -3, l + l = -3*w + 8 for w. 2 Solve -i - 2*p + 6 = 0, 2*p - 2 + 8 = -4*i for i. -4 Solve 0 = -5*c - 4*i, -162*c = -160*c + 4*i + 12 for c. 4 Solve a - 18 = -4*y + 1, -4*a = 2*y - 20 for a. 3 Solve 9 = 4*l - 3*k, -2*l + 2*k - 10 = -14 for l. 3 Solve 2*u + 30 = 5*m, 5*m = -u + 17 - 2 for u. -5 Solve -3*n = -3*a - a + 4, 0 = a + 3*n + 14 for a. -2 Solve 5*b = b + 4, -b = m - 1 for m. 0 Solve o + 4*f + 3 = 2, -5*o = -2*f - 17 for o. 3 Solve -19*s = 5*g - 14*s + 10, -28 = 5*g - 4*s for g. -4 Solve x + 4*v - 11 = -1, 4*v = 8 for x. 2 Solve -2*u - 2*h = 0, -4*u = -6*h + 2*h - 24 for u. 3 Solve 2*w + 3*p = -1, -4*w + 3*p = -3*w - 13 for w. 4 Solve 4*g = 4*x + 16, 2*g - 7 + 2 = 5*x for x. 1 Solve 4*i + 24 = 2*q, 0 = -84*i + 83*i - 3*q + 8 for i. -4 Solve -w - 23 = 2*q - 22, 4*q
{ "pile_set_name": "DM Mathematics" }
08, 7/18, 1/12, 1, -3. -3, 1/108, 1/12, 7/18, 1 Sort 1128.2, 1/2, -0.1 in ascending order. -0.1, 1/2, 1128.2 Sort -4, 3, 1, 129, 35/12, 0 in descending order. 129, 3, 35/12, 1, 0, -4 Put -3, 1, 2600 in ascending order. -3, 1, 2600 Sort 9.14, 0.2, -17 in increasing order. -17, 0.2, 9.14 Put 3, -1, -70, 8, -4 in descending order. 8, 3, -1, -4, -70 Sort 16, 4, -0.2, -2/13, 12/11, 18 in descending order. 18, 16, 4, 12/11, -2/13, -0.2 Sort -1, -0.08, 1820, 5, 2/9 in decreasing order. 1820, 5, 2/9, -0.08, -1 Put -6, 46, -154, -4, -3 in increasing order. -154, -6, -4, -3, 46 Sort 9, -7, 1170, -2 in increasing order. -7, -2, 9, 1170 Sort 0.4, 1/6, 0, 376. 0, 1/6, 0.4, 376 Sort -2, 0.0082263, -4 in increasing order. -4, -2, 0.0082263 Sort 28, 1/7, -1/10, -0.03, 9 in descending order. 28, 9, 1/7, -0.03, -1/10 Put 1, 72, 7, -26, -2 in descending order. 72, 7, 1, -2, -26 Sort 3672, 1/5, -0.8. -0.8, 1/5, 3672 Sort 9, 3, 241 in increasing order. 3, 9, 241 Sort 2297, -6, -2, -5, 0 in decreasing order. 2297, 0, -2, -5, -6 Sort -31, -2, 4/7, 0.1, -1 in increasing order. -31, -2, -1, 0.1, 4/7 Sort 182, -5, 54, 0.03 in increasing order. -5, 0.03, 54, 182 Put -12.49, -2/19, 0.13, 1.3 in decreasing order. 1.3, 0.13, -2/19, -12.49 Put -11, -71, 3 in descending order. 3, -11, -71 Sort 0.3, -1767, 0, 0.4, 3, -0.2 in decreasing order. 3, 0.4, 0.3, 0, -0.2, -1767 Sort -0.02, 1/67, 2/15, -0.4, -0.38. -0.4, -0.38, -0.02, 1/67, 2/15 Put 2/27, 1697, 0.1, 2/9, -3 in descending order. 1697, 2/9, 0.1, 2/27, -3 Sort 47, 3, -4, -55 in descending order. 47, 3, -4, -55 Sort -2, -494, 5 in decreasing order. 5, -2, -494 Sort -0.06, 48/5, 1/7, 2/15 in ascending order. -0.06, 2/15, 1/7, 48/5 Sort 35, -0.05, -0.18, -27, 4 in descending order. 35, 4, -0.05, -0.18, -27 Sort -2, 0, 44, 11. -2, 0, 11, 44 Sort -53/12, -2, 0.074 in increasing order. -53/12, -2, 0.074 Sort 92, 4, -24586 in decreasing order. 92, 4, -24586 Sort -4, -2, 4, -36028 in descending order. 4, -2, -4, -36028 Sort 11, -10, -0.4, -18, 2/3, -3 in descending order. 11, 2/3, -0.4, -3, -10, -18 Put 1, 7, -1/17123, -0.2, 4 in decreasing order. 7, 4, 1, -1/17123, -0.2 Sort 0, 12, -57.1, 0.3. -57.1, 0, 0.3, 12 Sort -41057, 1, -3. -41057, -3, 1 Sort 4, 2266, -3 in descending order. 2266, 4, -3 Sort -13, 0.3, -1/57, -2, 1/6, -36 in descending order. 0.3, 1/6, -1/57, -2, -13, -36 Sort 3, 2, 4, -64, -7 in decreasing order. 4, 3, 2, -7, -64 Sort -1, -14.3, 3, 209. -14.3, -1, 3, 209 Put -0.2, 1.5, 0.2, -5, 3/169 in increasing order. -5, -0.2, 3/169, 0.2, 1.5 Sort 5, 33, -6. -6, 5, 33 Sort 8313, -6, 7 in increasing order. -6, 7, 8313 Put -3, 5, -7, 1711, 2 in decreasing order. 1711, 5, 2, -3, -7 Put 0.2, 6, -143 in descending order. 6, 0.2, -143 Sort 44, 10, -3, -1, 5, 1. -3, -1, 1, 5, 10, 44 Sort -2/13, 243225, 4. -2/13, 4, 243225 Put 2, -4, -81, 4, -2, -10 in decreasing order. 4, 2, -2, -4, -10, -81 Sort 3/2, 3, 0.4, 36.9, 2, -3/5 in descending order. 36.9, 3, 2, 3/2, 0.4, -3/5 Put -21, -4, 322, 4 in increasing order. -21, -4, 4, 322 Sort 2, -3, 257, 0 in increasing order. -3, 0, 2, 257 Sort 1, 2, -878, 5, -8 in increasing order. -878, -8, 1, 2, 5 Sort -0.3, 18.22, 10, 0.5, 2/3. -0.3, 0.5, 2/3, 10, 18.22 Put 362, 2/7, -3037 in descending order. 362, 2/7, -3037 Sort 40, -2, -333 in descending order. 40, -2, -333 Put 1, -262, -4, -224 in descending order. 1, -4, -224, -262 Put -13, 4, -5, 0, -418 in descending order. 4, 0, -5, -13, -418 Sort 18, -29.6, -2/7, -0.4 in decreasing order. 18, -2/7, -0.4, -29.6 Put -169, 1/7, -1, 4.4, 4/9, 3 in descending order. 4.4, 3, 4/9, 1/7, -1, -169 Sort 4, 0, -33, 5, 1 in descending order. 5, 4, 1, 0, -33 Put 21, -4, 314, 9 in descending order. 314, 21, 9, -4 Put 0, -182, -4, 319 in increasing order. -182, -4, 0, 319 Put -1098, -2, -12, -1, 3 in ascending order. -1098, -12, -2, -1, 3 Sort -0.02, -5, -3/170, 5/3 in descending order. 5/3, -3/170, -0.02, -5 Sort -2, -4, 3, 455, -1 in ascending order. -4, -2, -1, 3, 455 Put -3, 1, -2, 0, 4474 in increasing order. -3, -2, 0, 1, 4474 Put -3/7, -1/4, 12/7, 203, 2/13 in increasing order. -3/7, -1/4, 2/13, 12/7, 203 Sort -1/4, -2/3, -12.1, -1/6, 4 in decreasing order. 4, -1/6, -1/4, -2/3, -12.1 Put 728, 1, -5 in increasing order. -5, 1, 728 Sort 156, 20, -2, 3, 0 in decreasing order. 156, 20, 3, 0, -2 Sort 0.4, -0.3, 0.2, -0.2, 13042. -0.3, -0.2, 0.2, 0.4, 13042 Sort -2, 7, 3/55. -2, 3/55, 7 Put -3, -65, 94, -15 in descending order. 94, -3, -15, -65 Sort 15, -6, 3, -100. -100, -6, 3, 15 Sort 4, -4653, -134 in ascending order. -4653, -134, 4 Sort -135, 0.3, 3, -2/3, 6 in ascending order. -135, -2/3, 0.3, 3, 6 Sort 31, -5, 207, -1 in decreasing order. 207, 31, -1, -5 Put -2414, -3, -2163 in increasing order. -2414, -2163, -3 Sort 7, 3, 284, -10, -1. -10, -1, 3, 7, 284 Sort 5, -693, 14, -4, 3 in decreasing order. 14, 5, 3, -4, -693 Put -2, -9, 3, -468 in ascending order. -468, -9, -2, 3 Put 102, -4, 0, 2, 18 in increasing order. -4, 0, 2, 18, 102 Sort -2, 2/19, -5, 0, 2/15, -0.142. -5, -2, -0.142, 0, 2/19, 2/15 Sort 0, -495, 5, 28. -495, 0, 5, 28 Put -1/7, -1/3, -5, 3.3, 0.3 in descending order. 3.3, 0.3, -1/7, -1/3, -5 Put -2, 0.063, -41, 1/29 in descending order. 0.063, 1/29, -2, -41 Sort -76, 4, -147, -13. -147, -76, -13, 4 Put -13, -2, 148 in descending order. 148, -2, -13 Put 18, -0.79, -2/7, -5 in decreasing order. 18, -2/7, -0.79, -5 Sort -10627, 0, 1/3, 1/5 in decreasing order. 1/3, 1/5, 0, -10627 Sort -3, 3, 17, 123, -5 in descending order. 123, 17, 3, -3, -5 Sort 23, 2, -108, 9, -2 in ascending order. -108, -2, 2, 9, 23 Sort 1/4, 3, 1.5, 0.1, 480, -1. -1, 0.1, 1/4, 1.5, 3, 480 Sort -6, -4, -8521. -8521, -6, -4 Put -165, -5, -3, 0.1 in ascending order. -165, -5, -3, 0.1 Sort 0.09, 0.0142, -4, 3, 4, -58 in ascending order. -58, -4, 0.0142, 0.09, 3, 4 Put -3730, 15, -1, -2 in descending order. 15, -1, -2, -3730 Put 3/2, -0.9, -1/10 in ascending order. -0.9, -1/10, 3/2 Sort 43, 2, 219 in decreasing order. 219, 43, 2 Put -4/23, 3, -2, 4, -1/5, 0.092 in ascending order. -2, -1/5, -4/23, 0.092, 3, 4 Put -2, -1, -6, -235, -13 in descending order. -1, -2, -6, -13, -235 Put -5.76, -0.126, -2 in descending order. -0.126, -2, -5.76 Sort -3, -1, 4, 6, -129, 1 in ascending order. -129, -3, -1, 1, 4, 6 Sort 5, 1, -3, 185, -8. -8, -3, 1, 5, 185 Put -21, -348, 2, 0, -2 in decreasing order. 2, 0, -2, -21, -348 Put -29709, -3, -4, 1 in ascending order. -29709, -4, -3, 1 Put 3, 2, 1520, -5 in ascending order. -5, 2, 3, 1520 Sort -2/19, -6/17, -15, -0.4, -1/9 in increasing order. -15, -0.4, -6/17, -1/9, -2/19 Sort -397, -2/213, -0.15 in descending order. -2/213, -0.15, -397 Put 0, -3, 575 in descending order. 575, 0, -3 Put 66, -3, 4550 in decreasing order. 4550, 66, -3 Put -2/7, -1, 597, 15 in increasing order. -1, -2/7, 15, 597 Sort 5, 1, -1, -45318. -45318, -1, 1, 5 Sort 21, 14, -4, -107 in decreasing order. 21, 14, -4, -107 Sort 13, -183, 39, 1 in descending order. 39, 13, 1, -183 Sort 2974, -534, 3 in descending order. 2974, 3, -534 Sort 1, -25, -22, -5. -25, -22, -5, 1 Sort 1/138, -425, -1/2 in ascending order. -425, -1/2, 1/138 Put 6, -5, 92, -41, 13 in descending order. 92, 13, 6, -5, -41 Sort 1/3, 16, 125 in decreasing order. 125, 16, 1/3 Sort 21, -4, 1, -12, 2, 13 in ascending order. -12, -4, 1, 2, 13, 21 Put 20, 0.99, 1, 19/3 in descending order. 20, 19/3, 1, 0.99 Sort 0.02, 4, -4, 1, -5 in ascending order. -5, -4, 0.02, 1, 4 Put 9, 5, 0.2866, 3/4 in increasing order. 0.2866, 3/4, 5, 9 Put 5, 9, -4, -5, -62 in decreasing order. 9, 5, -4, -5, -62 Sort 17, 11, 3, 4, -2, 62 in decreasing order. 62, 17, 11, 4, 3, -2 Sort 48, -9, 5, 7, -5/3 in increasing order. -9, -5/3, 5, 7, 48 Sort -5, -51827, -4. -51827, -5, -4 Put -204, 1, 48, 0 in decreasing order. 48, 1, 0, -204 Sort 1, 5, -119, 3, 6, -12 in decreasing order. 6, 5, 3, 1, -12, -119 Sort 5/6, -4, -2, -257 in ascending order. -257, -4, -2, 5/6 Sort -72, 1/8, 11.4, -18/11 in increasing order. -72, -18/11, 1/8, 11.4 Put 3, 2519, -5, 2 in descending order. 2519, 3, 2, -5 Put 2/11, 2/3127, 1, 2/7, -0.12 in increasing order. -0.12, 2/3127, 2/11, 2/7, 1 Put -16, -2, 2, 128 in descending order. 128, 2, -2, -16 Sort -14, 3, -1, 31, -13 in descending order. 31, 3, -1, -13, -14 Put -3, 1, 0.135, 0.004, 0.4 in ascendi
{ "pile_set_name": "DM Mathematics" }
4 Calculate the greatest common factor of 861704296 and 136. 136 What is the highest common factor of 47601002 and 1366? 1366 Calculate the highest common divisor of 190 and 11733070. 190 What is the greatest common factor of 79030 and 17920? 70 What is the highest common divisor of 58 and 65285554? 58 Calculate the greatest common factor of 1321534 and 147246. 46 What is the highest common factor of 1520899 and 198749? 853 Calculate the highest common divisor of 466248 and 1296. 24 Calculate the greatest common factor of 13842343 and 8464. 529 What is the highest common factor of 8448 and 1364484? 132 What is the greatest common factor of 2217610 and 63300? 2110 Calculate the greatest common factor of 9790 and 27378002. 178 What is the highest common divisor of 162052 and 125048? 1276 Calculate the greatest common factor of 486 and 128913282. 162 What is the greatest common divisor of 5284 and 6428? 4 What is the highest common factor of 30098 and 3948494? 202 What is the highest common divisor of 3425058 and 7? 7 Calculate the greatest common divisor of 34941140 and 69. 23 Calculate the highest common factor of 12921594 and 882. 294 What is the highest common factor of 93 and 4900668? 3 Calculate the greatest common divisor of 986520 and 88. 8 What is the greatest common factor of 5520075 and 175? 25 Calculate the highest common factor of 1131878 and 880. 22 Calculate the greatest common divisor of 36100 and 49933900. 1900 What is the highest common divisor of 28200026 and 4710? 314 What is the highest common divisor of 9555 and 64883? 91 Calculate the greatest common divisor of 715 and 54963051. 143 Calculate the highest common factor of 6376981 and 182. 13 What is the greatest common divisor of 1792 and 22464256? 256 Calculate the greatest common factor of 3003517863 and 757. 757 What is the highest common factor of 6 and 26841? 3 Calculate the highest common divisor of 368 and 508784. 16 Calculate the greatest common factor of 838758 and 4386. 258 What is the highest common divisor of 8581608 and 252? 252 What is the greatest common factor of 5204342 and 15314? 806 Calculate the greatest common factor of 56 and 355949230. 14 Calculate the greatest common divisor of 98 and 5788804. 14 What is the highest common factor of 7245 and 225149645? 805 What is the greatest common divisor of 2453235 and 5330? 205 What is the highest common divisor of 17263 and 176875? 283 Calculate the greatest common divisor of 105720 and 120. 120 What is the highest common divisor of 21583951 and 1175? 47 Calculate the highest common factor of 437 and 720309. 19 What is the greatest common factor of 34375708 and 575? 23 What is the highest common factor of 25632 and 90144? 288 What is the highest common divisor of 67 and 12391784? 67 What is the highest common factor of 695072 and 156832? 928 Calculate the highest common divisor of 8605773 and 891. 99 Calculate the highest common factor of 4465826 and 39701. 1073 What is the highest common factor of 656 and 9338816? 656 Calculate the greatest common divisor of 464 and 10077384. 232 Calculate the greatest common factor of 1768452 and 35406. 42 What is the greatest common factor of 4241332 and 57? 19 What is the highest common factor of 3349 and 677089? 197 Calculate the highest common factor of 42651459 and 747. 747 What is the highest common divisor of 3920994 and 88396? 6314 Calculate the highest common factor of 1136711 and 20303. 257 What is the highest common divisor of 15549633 and 20493? 2277 Calculate the greatest common factor of 2013104 and 591617. 2677 Calculate the greatest common factor of 2028 and 954512. 676 What is the highest common divisor of 792 and 3417768? 72 Calculate the greatest common factor of 1986 and 11096444. 662 Calculate the highest common divisor of 90528675 and 100. 25 Calculate the greatest common factor of 6927885 and 2655. 45 Calculate the greatest common factor of 366119 and 663. 13 Calculate the greatest common divisor of 59 and 814365672. 59 What is the highest common divisor of 282197 and 260190? 59 What is the highest common divisor of 170 and 48859666? 34 Calculate the greatest common factor of 3038 and 2642463033. 1519 Calculate the greatest common divisor of 4810368 and 192. 192 What is the highest common divisor of 292 and 1278814? 146 Calculate the greatest common factor of 286464 and 1615836. 4476 Calculate the highest common divisor of 651126 and 78. 6 Calculate the highest common divisor of 6513610 and 790. 10 Calculate the greatest common divisor of 4276869 and 4944. 309 Calculate the highest common factor of 2811845 and 545. 5 What is the greatest common divisor of 666 and 4411917? 333 What is the highest common factor of 77792900 and 50? 50 Calculate the greatest common factor of 16939489 and 159. 53 Calculate the greatest common factor of 82418 and 11765590. 1682 What is the highest common divisor of 562626 and 118233? 4077 Calculate the highest common factor of 360386700 and 214. 214 Calculate the greatest common factor of 6232141 and 17861. 337 What is the greatest common factor of 45136707 and 31339? 2849 Calculate the highest common factor of 25298465 and 51. 17 What is the highest common divisor of 3200 and 38816? 32 Calculate the greatest common divisor of 190538 and 67962. 94 Calculate the greatest common divisor of 3388 and 413798. 154 What is the greatest common divisor of 9287928 and 2808? 936 Calculate the highest common factor of 177 and 20829183. 177 Calculate the greatest common divisor of 7609 and 113546933. 1087 Calculate the highest common divisor of 348607135 and 2085. 695 Calculate the highest common divisor of 60294 and 2238. 6 What is the greatest common divisor of 5184 and 3875904? 1728 What is the highest common factor of 27768 and 6584812? 52 Calculate the greatest common divisor of 336 and 124606398. 42 What is the greatest common factor of 102560881 and 9401? 1343 Calculate the greatest common factor of 22928891 and 9121. 1303 What is the highest common factor of 724 and 28976833? 181 Calculate the highest common factor of 36216619 and 649. 59 What is the highest common factor of 427561 and 11023? 73 What is the highest common divisor of 6875207 and 209? 19 What is the greatest common divisor of 34946 and 750820? 346 What is the greatest common divisor of 127520365 and 5845? 5845 Calculate the highest common divisor of 480 and 91248. 48 What is the greatest common divisor of 34344096 and 27748? 3964 What is the highest common factor of 80314240 and 16? 16 Calculate the greatest common divisor of 25304 and 1382850948. 12652 Calculate the greatest common divisor of 38968170 and 174. 174 Calculate the greatest common factor of 330920589 and 17. 17 Calculate the greatest common factor of 434852 and 363. 11 Calculate the greatest common factor of 559 and 609791299. 559 Calculate the greatest common factor of 216683 and 143267. 23 What is the highest common divisor of 6516 and 16597338? 1086 What is the highest common factor of 58144 and 36185792? 2528 What is the greatest common factor of 833660 and 30? 10 What is the highest common divisor of 35 and 31297574? 7 Calculate the highest common factor of 2508 and 5934588. 132 What is the highest common factor of 1341 and 11030619? 447 Calculate the greatest common factor of 1008 and 559472. 16 Calculate the highest common divisor of 22770 and 722595. 15 What is the greatest common divisor of 847 and 522907? 77 Calculate the highest common divisor of 9061 and 442595. 697 What is the greatest common divisor of 19796112 and 180? 36 Calculate the greatest common factor of 375875 and 57133. 3007 Calculate the highest common factor of 3160 and 2165880. 40 What is the greatest common factor of 375 and 466959? 3 Calculate the greatest common factor of 540 and 1799660. 20 Calculate the greatest common factor of 1375380 and 125010. 270 What is the highest common divisor of 100449975 and 150? 75 What is the highest common divisor of 538 and 2904931? 269 What is the greatest common factor of 32268277 and 3859? 227 Calculate the highest common factor of 58476594 and 6248. 1562 Calculate the greatest common factor of 80926 and 1577116. 1882 What is the highest common divisor of 156 and 44828394? 78 Calcu
{ "pile_set_name": "DM Mathematics" }
2, u: 2}. 1/10 What is prob of picking 2 k and 1 o when three letters picked without replacement from {v: 1, k: 1, r: 1, n: 1, s: 2, o: 1}? 0 Three letters picked without replacement from tkookosthtoo. Give prob of picking 1 k, 1 o, and 1 t. 3/22 Four letters picked without replacement from uouuuo. Give prob of picking 1 o and 3 u. 8/15 Calculate prob of picking 2 m and 1 n when three letters picked without replacement from nnnnnnnnnmnnnmnnnnnn. 3/190 Four letters picked without replacement from {b: 5, v: 2, t: 2}. Give prob of picking 2 t and 2 v. 1/126 Three letters picked without replacement from avvavaaaavavaavvvvv. What is prob of picking 1 v and 2 a? 120/323 What is prob of picking 1 c and 1 n when two letters picked without replacement from {x: 1, j: 1, n: 2, i: 2, c: 2, q: 1}? 1/9 Three letters picked without replacement from dddffffddfdddddddddd. What is prob of picking 3 f? 1/114 What is prob of picking 1 y and 2 i when three letters picked without replacement from ucyiycqiccut? 1/110 Four letters picked without replacement from {v: 3, w: 1, a: 1, s: 3, u: 2, i: 1}. Give prob of picking 1 i, 1 v, and 2 u. 1/110 Two letters picked without replacement from uruuuruuuuuruuu. What is prob of picking 2 u? 22/35 Three letters picked without replacement from ddddddd. What is prob of picking 3 d? 1 Three letters picked without replacement from {i: 5, m: 7, f: 4}. Give prob of picking 1 m and 2 f. 3/40 Calculate prob of picking 1 x and 3 l when four letters picked without replacement from llllllxllllllll. 4/15 What is prob of picking 1 k and 1 p when two letters picked without replacement from tptrqtrktdqqdtkqtd? 2/153 Two letters picked without replacement from gzgzgz. Give prob of picking 2 g. 1/5 Three letters picked without replacement from vzubusbsbbszdbvd. Give prob of picking 1 u, 1 s, and 1 z. 3/140 Three letters picked without replacement from {r: 3, t: 2, x: 1, w: 1}. Give prob of picking 2 r and 1 t. 6/35 What is prob of picking 2 g and 1 w when three letters picked without replacement from {g: 5, w: 3}? 15/28 Calculate prob of picking 1 g and 1 m when two letters picked without replacement from gooorommer. 2/45 What is prob of picking 1 t and 1 w when two letters picked without replacement from btqatnw? 2/21 Three letters picked without replacement from {i: 10, d: 2, a: 2, n: 2, f: 3}. What is prob of picking 1 a, 1 d, and 1 i? 40/969 Calculate prob of picking 1 v, 1 j, and 1 d when three letters picked without replacement from {j: 1, x: 2, d: 1, v: 2}. 1/10 Calculate prob of picking 2 w and 1 m when three letters picked without replacement from {x: 1, m: 3, w: 5, u: 1, g: 1, f: 2}. 15/143 Calculate prob of picking 1 b and 1 e when two letters picked without replacement from {b: 11, e: 9}. 99/190 Two letters picked without replacement from {q: 1, c: 1, s: 1, a: 1, m: 1}. What is prob of picking 1 c and 1 a? 1/10 Three letters picked without replacement from {v: 1, l: 2, e: 2, h: 3, i: 9}. Give prob of picking 2 l and 1 i. 9/680 Four letters picked without replacement from uhurluufhlfuuflulf. What is prob of picking 1 l and 3 u? 7/153 Three letters picked without replacement from {b: 4, i: 3, e: 2, s: 5, p: 5}. Give prob of picking 2 s and 1 i. 10/323 Three letters picked without replacement from zpzzzzzzzuuzzzzu. What is prob of picking 1 z and 2 u? 9/140 Two letters picked without replacement from {i: 4, v: 6, l: 1}. What is prob of picking 2 i? 6/55 Four letters picked without replacement from {f: 7, a: 7}. Give prob of picking 3 f and 1 a. 35/143 Two letters picked without replacement from ehezhiieehee. What is prob of picking 1 z and 1 e? 1/11 Four letters picked without replacement from {q: 8, t: 1, c: 4}. Give prob of picking 2 q, 1 c, and 1 t. 112/715 What is prob of picking 1 g, 1 o, and 1 u when three letters picked without replacement from uugguougnooeu? 45/286 What is prob of picking 1 h and 1 o when two letters picked without replacement from {n: 9, c: 1, h: 3, o: 1, v: 4}? 1/51 Three letters picked without replacement from {m: 4, k: 2, u: 3, s: 9, f: 1}. What is prob of picking 1 m and 2 s? 48/323 Four letters picked without replacement from ndnnpnd. What is prob of picking 4 n? 1/35 Four letters picked without replacement from gcgcccggcg. Give prob of picking 4 c. 1/42 Calculate prob of picking 1 w, 1 p, and 1 x when three letters picked without replacement from {p: 2, g: 1, q: 1, i: 1, w: 2, x: 1}. 1/14 Four letters picked without replacement from {h: 1, u: 3, c: 1, d: 5, v: 4}. Give prob of picking 1 d, 2 v, and 1 u. 90/1001 Calculate prob of picking 1 y and 1 x when two letters picked without replacement from {g: 8, y: 2, x: 9}. 2/19 Calculate prob of picking 2 a when two letters picked without replacement from aaaaaaa. 1 Four letters picked without replacement from bmmjmbtmjmm. What is prob of picking 3 m and 1 t? 2/33 Calculate prob of picking 1 o and 1 q when two letters picked without replacement from {o: 1, b: 3, d: 2, q: 1, y: 6}. 1/78 Calculate prob of picking 4 u when four letters picked without replacement from fffuffufffuuuuuuuuf. 35/646 Calculate prob of picking 1 o, 2 w, and 1 l when four letters picked without replacement from {g: 1, w: 3, l: 1, o: 3, a: 2}. 3/70 Four letters picked without replacement from {b: 3, i: 6, a: 3, t: 3, z: 2}. What is prob of picking 1 z, 2 t, and 1 i? 9/595 Calculate prob of picking 1 m and 1 y when two letters picked without replacement from yfbfm. 1/10 What is prob of picking 1 z and 2 t when three letters picked without replacement from {z: 8, t: 5}? 40/143 Three letters picked without replacement from {z: 2, f: 3}. Give prob of picking 1 f and 2 z. 3/10 Four letters picked without replacement from {k: 1, t: 2, w: 2, g: 1, a: 2}. What is prob of picking 1 g, 1 t, 1 w, and 1 k? 2/35 Calculate prob of picking 2 l when two letters picked without replacement from lulusuullluuuulzlll. 4/19 What is prob of picking 1 z and 1 t when two letters picked without replacement from atdzttz? 2/7 Two letters picked without replacement from uuuyuufuffumuyfufffu. Give prob of picking 1 f and 1 m. 7/190 Calculate prob of picking 3 c when three letters picked without replacement from clctccttlvllc. 5/143 Calculate prob of picking 1 j and 2 u when three letters picked without replacement from {j: 3, i: 2, u: 5}. 1/4 What is prob of picking 1 u, 1 j, and 1 v when three letters picked without replacement from ubsvj? 1/10 Four letters picked without replacement from {g: 4, u: 1, e: 6, v: 6}. What is prob of picking 1 e and 3 g? 6/595 Calculate prob of picking 2 d when two letters picked without replacement from {d: 9, m: 10}. 4/19 Four letters picked without replacement from {p: 1, d: 4, n: 4, s: 6}. What is prob of picking 3 n and 1 d? 16/1365 Calculate prob of picking 1 u and 1 h when two letters picked without replacement from {n: 1, h: 1, u: 1}. 1/3 Three letters picked without replacement from {v: 4, h: 2}. What is prob of picking 1 v and 2 h? 1/5 Calculate prob of picking 3 p and 1 x when four letters picked without replacement from {p: 10, x: 2, y: 3}. 16/91 What is prob of picking 1 k and 1 x when two letters picked without replacement from {i: 4, p: 1, k: 1, e: 2, x: 2, u: 4}? 2/91 Three letters picked without replacement from {b: 2, e: 1, m: 1, s: 2, z: 1, x: 1}. What is prob of picking 1 b, 1 s, and 1 m? 1/14 Calculate prob of picking 1 k and 1 u when two letters picked without replacement from {k: 17, u: 3}. 51/190 Calculate prob of picking 2 s when two letters picked without replacement from {c: 1, d: 9, s: 4}. 6/91 Calculate prob of picking 1 a and 3 t when four letters picked without replacement from {t: 3, h: 10, a: 1, m: 4}. 1/3060 Four letters picked without replacement from ltlltbewtw. Give prob of picking 1 e and 3 l. 1/210 Two letters picked without replacement from jjwwjwww. Give prob of picking 2 w. 5/14 Three letters picked without replacement from {l: 3, c: 4}. Give prob of picking 2 c and 1 l. 18/35 Three letters picked without replacement from cauuwuwuuugcxu. Give prob of picking 1 a, 1 g, and 1 c. 1/182 Calculate prob of picking 3 l when three letters picked without replacement from lgllllllgl. 7/15 Calculate prob of picking 1 b and 1 r when two letters picked
{ "pile_set_name": "DM Mathematics" }
Which is smaller: r or -3? r Let f be (-4583)/9 + (395/(-45) - -9). Which is greater: f or -510? f Let w = 1597 + -954. Is w equal to 642? False Let k be (-1 + 2/2)*-1. Suppose k*p + 2*x + 1 = -3*p, 4*x = -4*p - 8. Suppose -3*v + 6 = -p*i, -2*v + 6*v - 12 = 0. Are i and -1/3 equal? False Suppose 0*s + 18*s = -18. Let w(z) = -4*z**2 - 5*z + 3. Let m be w(5). Let j be (3 - m/(-42)) + 0. Which is greater: j or s? j Let p = -121.1 + 121. Let m = -100 + 146. Let z = m - 28. Which is smaller: p or z? p Let h be (2 + -3)/((-3)/195). Suppose 0 = -16*r - 15 - h. Let i = -7 + 3. Which is greater: r or i? i Let b = -33 + 61. Let d be 4/b + 17/(-21). Let l(k) = k**2 + 6*k + 5. Let i be l(-5). Which is smaller: d or i? d Let o be (4280/(-210))/((-4)/14). Is o at most 71? False Let l be 168/15*265/106. Do l and -4 have different values? True Let f be 21/27 + (-125)/45 + 3. Is 13/10 greater than or equal to f? True Suppose 3*c = s + 174 + 31, 7*c - 4*s - 485 = 0. Do c and 3/4 have the same value? False Let c(h) = -h**2 + 3*h + 17. Let t be c(-3). Which is smaller: t or 2/821? t Let q(c) = -c**2 + 9*c + 53. Let b be q(-4). Which is smaller: 2/4135 or b? 2/4135 Let t be -9 - 21/14*-6. Is t < -32/9? False Let b(j) = j - 5. Let m be ((-20)/15)/((-2)/(-6)). Let x be b(m). Suppose -7 - 17 = 3*d. Do d and x have different values? True Let z(w) = -w**3 + 2*w**2 + w - 29. Let g be z(0). Is g at most as big as -29? True Suppose -9*u + 76*u = 50652. Are u and 756 non-equal? False Let q(i) = -29*i**2 + 9*i**2 + 9 + 0 - i**3 - 20*i. Let p be q(-19). Which is smaller: 30 or p? p Suppose 0 = -15*o + 1797 - 102. Is 113 > o? False Let i = 3.008 + -0.108. Which is smaller: i or -4? -4 Let h(y) = 16*y**3 + 2*y**2 + 2*y + 1. Suppose 4*k = 4, 0*f - 5*f - k - 4 = 0. Let a be h(f). Is a > -13? False Let n = 47 + -47. Suppose 9 = 3*m - n. Is m at least as big as -3? True Let c = -61 - -54. Which is smaller: -37/5 or c? -37/5 Suppose 3*y - y - 24 = 0. Let w be (2/4 + (-342)/36)*-1. Is y > w? True Suppose 9*i = 2*i - 63. Which is greater: i or -5? -5 Suppose -2*f - 6 = -26. Let h be 8/(-5)*f/(-4). Suppose h = -0*w + 2*w. Which is smaller: w or 3? w Let g = 0.056 + -0.326. Let h be 163/1630 + (-2)/(-4). Is g smaller than h? True Suppose -9 = -0*b - 3*b. Suppose 5*v - 3*v = b*f, 4*f - 40 = -4*v. Let w be (-9968)/(-1602) + 1 + 11/(-9). Do w and v have the same value? True Let o be (-2)/3*3 + 5. Let b be o/(-2)*(-8)/474. Let a = b - -626/237. Which is greater: 2 or a? a Let n = -85 - -81. Do -14 and n have the same value? False Let y = 2.407 + 13.393. Which is smaller: -7 or y? -7 Let f = -5 - 4. Let h be 3/(-7)*(-6)/f. Let p be ((-28)/(-10))/(4/20). Are h and p equal? False Suppose -24 = 69*z + 45. Which is bigger: 16/197 or z? 16/197 Let b = 579 + -501. Which is smaller: -1 or b? -1 Let d = -411 - -373. Are -197/5 and d non-equal? True Suppose -5*x - 182 = 6*d, 0 = 5*x - 2*x - 6. Which is smaller: -2 or d? d Suppose 5*b - 4*b - 16 = 0. Let j = b - 25. Let l = 19 - 29. Which is smaller: j or l? l Let p = -4651/88 + 401/8. Is p less than -0.1? True Let i be (-19)/(-3)*(14/4 + -5). Let d be (-2)/7 - (-550)/(-84). Let c = i - d. Is c >= -4? True Let c = -29/5 + 343/60. Suppose -11*z - 10 + 21 = 0. Which is bigger: z or c? z Let d(a) = -a**2 + 10*a. Let x be d(10). Suppose -4 = 5*y - y + 4*m, -4*y - 2*m + 2 = x. Do y and 15/7 have the same value? False Let x be ((-10)/6)/((-10)/6). Let t = 8 + -20. Let z be (x/(-6))/((-42)/t). Which is bigger: z or 0? 0 Let z = -19 + 19.4. Let c = 2 + -2.6. Let s = z - c. Is -3 at least s? False Suppose -25 - 11 = 6*v. Which is smaller: -0.038 or v? v Suppose 4*t = 20 - 4. Suppose 0*i = 5*z - i + 71, -t*i = 16. Which is greater: z or -14? -14 Let j = -2/1023 + 3412/1023. Is j not equal to -7? True Let o = -1066 + 1692. Is o greater than 0? True Let i = -151 + 167. Which is bigger: 103/6 or i? 103/6 Suppose -4*a + 6 = -4*t - 6, -7 = 5*t + 3*a. Suppose -3*g + 11 = 2*g - 3*m, 0 = 3*m + 6. Let x = g + t. Is 1/2 >= x? True Let x = -27 + 28. Let v be (x - (-4)/(-24))*(2 + -3). Which is smaller: v or -1? -1 Suppose -3*h + 9 = 3*k, -2 = 4*h + 5*k - 12. Suppose -3*r - h*y + 8 = 0, 4*r - 5*y + y = 0. Let g = -131/556 + -2/139. Do r and g have different values? True Suppose 3*z = -2*j + 351, -j + 0*z = 3*z - 171. Which is greater: 179 or j? j Suppose 0 = y - 1 - 1. Let a = 8 - y. Let c be ((-15)/a)/((-2)/(-8)). Is c <= -11? False Let t = -1535 + 1536. Which is bigger: 3/377 or t? t Let p = 118 - 118. Which is bigger: p or 2? 2 Let a(q) = 3*q**2 - 4*q - 9. Let i be a(6). Suppose 10*h + 105 = -i. Which is bigger: h or 2? 2 Let y be (-1)/5 + (-324)/(-45). Suppose -105*v + 17*v + 616 = 0. Is y not equal to v? False Suppose -1319 = -x - 4*x + 3*u, 5*x - 4*u = 1322. Let h = -11268/43 + x. Let b(f) = -f**2 + f + 1. Let i be b(0). Which is greater: i or h? i Let r(w) = 2*w - 21. Let t be r(9). Which is greater: t or 30? 30 Let v = 1145/66 - 79/6. Which is smaller: v or 3? 3 Let n be 4 - -1*(2 + -3). Let t be ((-2133)/34)/9 + 4 + n. Is 1 smaller than t? False Let g(p) = -6*p + 4. Let b(z) = z. Let l(f) = -4*b(f) - g(f). Let w be l(7). Let j be (-8)/(-3)*(-75)/w. Is j less than -19? True Let f = -1/169 + -134/5915. Suppose -8*a - 5 = -13*a. Which is bigger: a or f? a Let t(h) = h**3 - 3*h**2 - 4*h + 6. Let d be t(4). Let z = 288 + -286. Which is greater: d or z? d Suppose 5*r + 5*v = -0*v, -16 = -4*v. Let h(m) = -m**2 - 7*m + 25. Let z be h(-12). Let w be (-4)/(-12) - z/(-15). Which is smaller: r or w? r Let y = -257 + 165. Let c = y + 69. Is -24 less than c? True Suppose 189 = 16*g + 173. Let z = 56.026 - 0.026. Are g and z equal? False Let y = -0.0218 + 0.0658. Which is smaller: 4 or y? y Let x(d) = 2*d - 6. Suppose 2*v - 2 = -2*z, 3*v - v = -3*z - 3. Suppose 4*f + 6 = v*f. Let p be x(f). Which is greater: p or 2? 2 Let m(t) = t**3 - 4*t**2 - t - 80. Let c be m(6). Which is smaller: c or 1/13? c Let g be (-32)/40*(580/24)/(-1). Which is smaller: g or 19? 19 Suppose j = x + 41, -2*j - 2*x = -x - 70. Let y = -37 + j. Is -2/11 at most as big as y? True Let d be ((-14)/(-308))/(15 - -1). Which is smaller: d or 1? d Let y be ((-21770)/1035)/(-7) - 3. Let d = -379/7245 - y. Which is greater: 1 or d? 1 Let w(o) = o**2 + 7*o + 7. Suppose -2*k - 4 - 8 = 0. Let n be w(k). Which is greater: n or 3? 3 Let b(f) = -f**3 + 7*f**2 - 18*f + 73. Let c be b(6). Is c bigger than -5/102? True Let a = -53/150 + -8867/1650. Is a greater than -7? True Let z = 5.6 - 4.6. Which is bigger: z or 2.4? 2.4 Let x = 932 - 538. Let n = x - 1142/3. Which is greater: n or 14? 14 Let u = -1 - 7. Let i(p) = p + 4. Let g be i(u). Let w be g/6*3/5. Is w smaller than 1/4? True Let k(l) = -3*l - 1. Let y be k(-2). Suppose -y*m + 5 = 5*t - 5, -3*m - 4 = t. Suppose -t*v + 12 = 2. Which is smaller: v or -6/7? -6/7 Let p(y) = -2*y**3 - 2*y - 1. Let a be p(-1). Suppose 1 - a = -2*q. Let f be 1/(q + -2)*-7. Is f smaller than 6? False Let f be (7 - 52/6)/(475/(-90)). Is -22 > f? False Let s = 760 + -40283/53. Suppose 0 = -290*c + 295*c + 5. Is c >= s? False Let a = -505 - -3529/7. Let j = -5 + 2. Let i be (5 - 2) + 11/j. Is a > i? False Let l = 1003 - 1014. Is l equal to 45? False Let i be (-910)/(-3852) - (-8)/(-36). Let z = -3629/642 - i. Let f(j) = -j**3 - 2*j + 5. Let s be f(2). Is z != s? True Let g be 4/18 + (-34)/(-9). Suppose g*f + f = 0. Let s = 6186 + -6191. Is s not equal to f? True Let l = -0.4 - -0.02. Let c = 0.58 + l. Let f be (1/(-2))/((-2)/2). Which is greater: c or f? f Let z = 72 + -28. Let u = -41 + z. Are 17/4 and u non-equal? True Suppose -y = 3*q - 12, -5*y + 2*q - 4*q = 5. Is -74 at least y? False Let c = 23 - 16. Let k be -9 + c - (-2 - 1). Is k less than -4/15? False Suppose -3*z = 12*z - 15. Are 2/7 and z unequal? True Suppose 3*k + 22 + 32 = 0. Let a be 22/k - (-12)/54. Let q be 3*3/5 - a. Is 3 bigger than q? True Let m = 718 - 4333/6. Which is smaller: -3 or m? m Let x = 0.0115 - 2.7115. Let v = 0.2 + -0.3. Which is smaller: x or v? x Suppose -3*s - 3*m = -18 + 12, 0 = 3*m - 3. Let h = 213891/146 + -1465. Which is smaller: s or h? h Let i be ((-8)/10)/((-9)/45). Suppose 4*v + i*s = 32, -19 = -3*v - 5*s + 1. Let o be (2/4)/(v/60). Is o at most 4? True Let j = 34.7 - 33. Let q = -3.65 + j.
{ "pile_set_name": "DM Mathematics" }
y. -3 Solve 0 = 52*z - 102*z + 51*z - 3*h + 26, 6*h - 2*h - 1 + 3 = -2*z for z. -11 Solve 2*t + 19*l - 21*l + 10 = 0, 18*t - 26 + 96 = -14*t + 2*l for t. -2 Solve 2*f + 32*o = -580, 5*f + 62 = 3*o + 63 + 43 for f. -2 Solve -r + 1 = 5*a - 4*r, -4*a = 23*r - 30 - 47 for a. 2 Solve -7*j - 119 = 4*d - 2*d, -7*d = -3*d + 3*j + 183 for d. -42 Solve 0 = 6*a + 2*i - 92, 264*a + 7*i - 3*i = 266*a - 26 for a. 15 Solve 3*l + 12 = -3*r, 27*r - 31*r + 3*l = -5 for r. -1 Solve -139*k - 30 = -27*l - 138*k, 3*l - 9 = 2*k for l. 1 Solve -5*w - 80 = -3*w + 4*m - 0*m, 4*m = -35*m + 59 - 761 for w. -4 Solve 7*j + 47 = -5*o, 233*o - 136*o - 17 = j + 99*o for j. -1 Solve -3*k + 8 = 7*c, 5632*c - 5633*c = -3*k - 32 for c. 5 Solve -6 + 8 = -3*b + 3*r + 17, 2*r + 7270 = -113*b + 1325*b for b. 6 Solve 3*f - 4*l + 118414 = 118432, -18*l - 112 = 2*f for f. -2 Solve 2*h - 11*v + 5 = -12*v, 5*v - 2 = 5*h - 27 for h. 0 Solve -4*a - 225*c + 123*c - 84 = -126*c, 3 = 3*c for a. -15 Solve 17*l + 61 = 3*t, 4*t - 3 = -4*l + 203 - 18 for l. 4 Solve -3874*s + 18 = -3869*s + 2*j, -j = -5*s - 24 for s. -2 Solve 2*g - 3*d = 33, 5*d + 0*d = -3*g - 6*d - 40 - 50 for g. 3 Solve -6 = 3*y, -285665 = -2*g + 2*y - 285755 for g. -47 Solve o + 7 = -2*o + 4*o + 6*g, 2*g - 25 = -25 for o. 7 Solve 0 = 91*d - 93*d - 2*a + 14, -25*d + 27*d + 63 = 5*a for d. -4 Solve -2*o - o + 6*z + 2*z - 241 = -301, 3*o - z - 18 = 0 for o. 4 Solve -y - 4*m = -9*m + 162, 112 + 119 - 201 = -y + m for y. 3 Solve -392*l + 2*r = 360*l - 757*l + 41, 0 = -l - 3*r + 42 for l. 3 Solve -9*x + 4*k - 8 = 6*x - 17*x, 0 = 5*x - 12*k + 24 for x. 0 Solve 2*g + 0*b - 3*b = -5*b - 8, 15*b + 3 = -2 + 5 for g. -4 Solve 13149*b + 3*q - 79 = 6581*b + 6572*b, 0 = -4*b + 4*q - 80 for b. -19 Solve -q - 3*q + 72 = -2*w, -q + 36 = -70148*w + 70147*w for q. 0 Solve 11*s + z + 60 = 0, 9*z - 10*z + 0*z - 10 = s for s. -5 Solve 5*l + 3*n = 164, -2*l - 21*n - 73 = 73*n - 95*n for l. -5 Solve 2*a + 67*d - 3 = 64*d, 0 = -14*a + 2*d - 2 for a. 0 Solve 43*y = -2*v - 146, 3*v + 0*v + 8592*y - 35 = 8591*y for v. 13 Solve 7*a + y + 2 = 8*a + 6, a - 617*y = -618*y - 6 for a. -5 Solve -5*i - 13*g + 926 = 0, 34*g - 31*g + 0*g - 218 = i for i. -2 Solve -32 - 33 + 371 = 150*n - i - 286, 0 = i - 8 for n. 4 Solve 177 = 843*c - 844*c - 5*n, 3*c - 2*n - 64 = 0 for c. -2 Solve -3*h + 95 = -5*i, 17*h - 97 = 7*i + 356 for i. -4 Solve u - 214*k + 217*k - 1 = 0, k = 5*u + 2*k - 5 for u. 1 Solve 0 = -4*x - 0*y + y + 4346 - 4403, -5*x - 5*y = 65 for x. -14 Solve 21*d - 51 - 63 = -4*m, 10*d - 72 = 2*m - d for m. -3 Solve -1001008*b = -1001007*b - 8*z - 80, -2*z - 20 = -3*b for b. 0 Solve 2*d - 6 + 14 = -v, v - 5*v + 113 = -41*d + v for d. -3 Solve -9634*w - 2*q - 42 = -9629*w, 16*w + 2*q = 6*w - 92 for w. -10 Solve 3*c - 3*v = -15, -119532*c + 119539*c - 3*v = -39 for c. -6 Solve -12*v = -151*f + 154*f + 93, -4*v - v - 2*f = -4*f - 10 for v. -4 Solve -a - 26*i + 132*i + 3707 = 0, -3*a - 79 = 2*i for a. -3 Solve -5*u - 6 = -4*x, 4*u - 4*x + 9 = -u - 4*x + x for u. -2 Solve 4*v + 44*v - 277 = j, 3*j + 96 = 21*v - 24*v for v. 5 Solve -14*c + 3*m - 16 = -18*c - m, 5*c + 54 = 182*m - 300 for c. 2 Solve 0*a = 5*m - 3*a + 6, 9*m = 4*a + 407 - 415 for m. 0 Solve 5*w - 40 = -5*y, 531878*w + 25 = 531883*w + 2*y for w. 3 Solve 4*t = -5*q - 38, 3*t + 6*q - 17*q = -15*q - 28 for t. -12 Solve 8*w - 27593*u - 43 = -27590*u, -4*w + u = -25 for w. 8 Solve -9*b = 2*i - 144, -3*i + 337*b - 342*b + 80 = 0 for i. 0 Solve -4*t + 8*k - 48 = 12*k, -k - 13 = 2*t for t. -1 Solve -f + 13*p + 28 = 0, -4*f + p = -272 + 262 for f. 2 Solve 15386*s + 34 = 15384*s - 8*u, 3*u + 23 = s - u for s. 3 Solve -15*a = 2*k + 3*k - 6*k - 573, -4*a + 149 = k for a. 38 Solve 55*g + 98 = 10*r + 51*g, -g = 22 for r. 1 Solve 5*c = 3*n - 92, 2*c - 15*n = -4321 + 3884 for c. -1 Solve -2*b = -10*h + 62, -4*h + 15*b + 40 = 18*b for h. 7 Solve 25*n = 154*n + 3*a - 501, 4*a + 51 = 31 for n. 4 Solve 0 = -5*p + b + 806 - 814, 52 = p - 3*b + 62 for p. -1 Solve 49*i + 247 = -5*h, 296*h - 299*h + 3*i = 51 for h. -20 Solve -33*v + b + 150 = -2*b, 5*b - 12*b = -3*b + 24 for v. 4 Solve 5*a + 2*h - 1222 = -1226, -4*h = -17*a - 100 for a. -4 Solve -7*o + 3*j = -61, -207332*o + 207332*o + 6*j + 24 = 0 for o. 7 Solve 4*s + 45 = 3*z, 8998*z + 4 = -8999*z + 17993*z for s. -12 Solve 15*m - 25*m = 8*p - 96, -m - 3*p = -25 for m. 4 Solve -295*c - 14 = -291*c + 2*q, -3*q - 21 = 60*c for c. 0 Solve -5319*s + 5316*s + 2*u + 26 = 0, 2*u + 18 = 5*s for s. -4 Solve 2*d - 6*d + 4*c + 12 = 0, -443*d + 441*d = 4*c + 30 for d. -3 Solve -4*s = -2*n + 246, -n - 2684 = 5*s - 2380 for s. -61 Solve -208 + 329 = -4*y - 13*s, -s = 6*s - 4*s + 27 for y. -1 Solve 3*j + 25 = 2*d, 44*j = 4*d - 193 - 275 for j. -11 Solve 3*m - 885 = 9*g - 909, 21*g - 76 = 2*m for m. 4 Solve -2*t - 5*t - 2*a = 178, -30*t + 3*a - 136 = -25*t for t. -26 Solve 0 = 3*n + 4*x - 82 - 16, -9743*n + 9741*n + 4*x - 108 = 0 for n. -2 Solve 26 - 35 - 48 = -4*k - 3*b, 17*k - 13*b = 4*b - 14*b + 195 for k. 12 Solve -d + 5*v - 58 = 0, v - 24416662 = -4*d - 24416663 for d. -3 Solve 5*k = -228*l + 188*l + 424 - 1674, 5*k = l + 21 for l. -31 Solve -4*j = 36, 186243 - 186270 = -9*b - j for b. 4 Solve -118 + 60 = 4*m + 2*i - 208, -7*m = -3*i - 295 for m. 40 Solve 4*x + 14*c + 88 = -c, -20*x - 20*x = -43*x - 4*c - 37 for x. -7 Solve 44 = 1686*l - 1687*l + 4*m, 0 = -2*l + 3*m - 28 for l. 4 Solve -3 = -4*a - 2*g - 0 - 25, -5*a - 60 + 15 = -g for a. -8 Solve 4*n - 4*o - 12 = 0, -399785*o = 3*n - 399781*o - 44 for n. 8 Solve -3*x = -9*n + 30, 1215*n - 1211*n = 18*x + 230 for n. -1 Solve -49*c - 251 + 28 = -3*s + 4, -5*c = -s + 19 for s. -6 Solve 0 = 2*v + 5*b - 5, 0 = 219*v - 252*v + 4*b - 177 for v. -5 Solve -4*p - 3327*n + 3334*n - 140 = 0, 0 = 4*p + 2*n + 140 for p. -35 Solve 21373*s - 18 = 2*j + 21371*s, 3*j - 2*s + 5*s = -27 for j. -9 Solve 218*r - 221*r - 24 = -6*q, 11*q + 37 = r for r. -18 Solve 0 = -q + 6*f + 20, -5*q - 2*f - 24 + 28 = 0 for q. 2 Solve -2*q - 4*c + c = 50, -2*q + 12*c - 5 = 15 for q. -22 Solve -207*p - 8 = -205*p - 2*s + 3 - 9, -p = 5*s + 25 for p. -5 Solve -108 = y + 13*r, -5*y = 1215096*r - 1215094*r + 36 for y. -4 Solve 0 = 4*c + 2*z + 60, -c + 71 + 28 = 29*z for c. -17 Solve -173*w + 1 = -172*w + 3*t + 14, -139*w - t = 975 for w. -7 Solve -2 = 5*k - 2*i + 3*i, -6*k + 13*i - 398 + 774 = -k for k. 5 Solve -j + 2*y - 30 = 0, 1898*y = 5*j + 1900*y - 100 + 190 for j. -20 Solve 5*m + 2*h = -10, 0 = -11*m + 15*m + 6*h - 9*h - 15 for m. 0 Solve -93*b - 208*l + 203*l - 1576 = 0, 2*b + 3*l + 11 = b - 3*l for b. -17 Solve 0 = -4*g - j - 0*j + 65 + 188, -2*j + 2986 = 48*g for g. 62 Solve -x = -3113*a + 3119*a - 6 - 5, 5*a = -4*x + 63 for a. -1 Solve -2*i = -36*t + 31*t - 20, -2*i + i = -13*t + 11 for i. 15 Solve -362*v - 4*c = -363*v - 5, -6*c + 39 = 3*v for v. 7 Solve 4*y + q - 15 = 0, -11775*q = 4*y - 11758*q - 63 for y. 3 Solve -6 = -2*q, 0 = 5*l + 4*q + 353 - 445 for l. 16 Solve -12*u = l - 110, 4229*l - 8462*l = 3*u - 4230*l - 21 - 12 for u. 9 Solve -7174 = -u + 4*n - 7203, -41*n = -205 for u. -9 Solve 61*n - 28*j + 108 = 65*n, 2*n + j - 41 = 0 for n. 20 Solve -g = -16*l - 33, -101*l + 49*l + 55*l = -3*g - 3 for l. -2 Solve -j - 2*k - 5788 = -5911, -43*j + 3*k - 407 = 0 for j. -5 Solve -4*v + 24*z - 548 = 0, -14*v + 16*v = 4*z - 98 for v. -5 Solve 0 = 3*j - h - 31 + 3, -24*h - 2 = -j - 20*h for j. 10 Solve -25 = -11*g - 2*j, 4*j + 3977575 - 3977603 = 0 for g. 1 Solve -2*l + 94 = -4*s, 4*s + 279 = 29532*l - 29525*l for l. 37 Solve 3*y + 305*h = 310*h + 43, 0 = -5*y - 5*h + 85 for y. 16 Solve r - 1 = 0, -90*l - 23*l + r + 1332 = 332*l - 2*r for l. 3 Solve 5*z - 51 = 8*s + 14, 715*z - 3*s = 718*z for z. 5 Solve 0 = i - 3*i + 5*z + 71, 2*z + 101 = 56*i - 69*i - 3*z for i. -2 Solve -48 = 357264*i - 357258*i - 5*c, -4*c + 12 = 4*i for i. -3 Solve -3*v = -q - 89, -56296*v + 56298*v = 62 for q. 4 Solve 12585*n - 12587*n = -3*o - 26, -556*n - 2*o + 540 = 0 for n. 1 Solve -83*n + 86*n = w - 56, 0 = 11*n - w + 216 for n. -20 Solve -14210*v + 16*w - 104 = -14212*v + 4*w, 0 = 5*w - 45 for v. -2 Solve -5*h - 293 = -14*s - 68, h - 3*s + 48 = 0 for h. -3 Solve 0 = -3*n - 2*q + 2129 - 2077, -2*n - 25 = 2*q - 75 for n. 2 Solve 2*o - 18 = 0, -5821718*d + 5821732*d + 0*o + 27 = 3*o - 14 for d.
{ "pile_set_name": "DM Mathematics" }
. 35 Let n(y) be the first derivative of y**4/4 + 10*y**3/3 + 17*y**2/2 + 9*y - 444. Give n(-8). 1 Suppose 404*j - 422*j - 72 = 0. Let y(n) = -2*n**2 - 5*n + 19. What is y(j)? 7 Let u(m) = 171*m - 856. Let c be u(5). Let a(y) = -45*y**2 + y. Give a(c). -46 Let t(m) = 4*m - 98. Let v = -7603 + 7627. Determine t(v). -2 Let z be ((-42)/28)/(1/4). Let m be 1/((1/z)/(18/54)). Let j(v) = 3*v + 1. Calculate j(m). -5 Let q(m) = m**3 - 7*m**2 - 2*m. Let k(d) = -d**2 + 4*d + 1. Let t be k(2). Let f be (1*8)/(42/6 - t). Suppose 0 = u + u - f, -j + 4*u = 1. Give q(j). -14 Suppose -3*v - 3*x = -4*v + 15, 2*v = 5*x + 26. Let z(l) = l - 3*l**2 - l**2 + l**v + 3858 - 3861. Give z(3). -9 Let z be (0 + (-246)/(-42))*(7 - 0). Let g(h) = -6 - 15*h + z*h - 25*h. Give g(-5). -11 Let j(q) = 2*q**2 - 11*q + 4. Let p(y) be the second derivative of -2*y**5/5 - y**4/4 - y**3/2 - y**2/2 + y - 19. Let g be p(-1). What is j(g)? 25 Suppose -z = -0*z. Suppose 3*g + 2*v - 8 = -2*v, -4*g - 10 = -5*v. Let c(a) = g*a - a + 6 - a**2 + 2*a. What is c(z)? 6 Suppose -5*v - 95 = -5*a, -36*a + 2*v = -41*a + 46. Let n(o) = -3*o**2 + 41*o - 40. Determine n(a). 20 Let o be ((-161)/(-21) - (-8)/12) + 4/6. Let s(b) = -9*b + 86. What is s(o)? 5 Let h(i) = 1. Let z = -31 + 29. Let v(a) = -a + 2. Let d(u) = z*v(u) + 10*h(u). Suppose 2*j - 37 = -45. Calculate d(j). -2 Let p(y) = 2*y**2 - y + 4. Suppose -1047*u = -1050*u. Give p(u). 4 Let u(v) = 7*v**2 - 3*v - 578. Let o(f) = -10*f**2 + 4*f + 813. Let y(w) = -5*o(w) - 7*u(w). Determine y(8). 53 Let d(t) be the second derivative of -t**3/2 - 25*t**2/2 + 3924*t. What is d(-6)? -7 Let a = 7231 - 7223. Let c(i) = i**2 - 7*i - 12. Let x(m) = -m**2 + 7*m + 13. Let f(q) = 6*c(q) + 7*x(q). Determine f(a). 11 Let l(h) be the second derivative of -h**4/12 + 14*h**3/3 + 29*h**2 - 6*h + 80. Give l(30). -2 Let r(n) be the second derivative of n**4/6 - n**3/2 + 102*n. Let f(z) = 11*z**2 - 18*z + 4. Let k(s) = f(s) - 6*r(s). Calculate k(0). 4 Suppose 6*t - 12 = 14*t + 2*b, -t + 2*b = 6. Let h(j) = j**3 + 2*j**2 - 3*j - 6. Calculate h(t). 0 Let f(s) = s**2 - 463*s - 1398. Let d be f(-3). Let w(c) be the third derivative of -c**5/60 - c**4/24 + 7*c**3/2 - c**2. What is w(d)? 21 Let s(l) = -13*l + 2. Let y be s(-2). Suppose y = -0*b - 14*b. Let n(i) = i + 1. Let a(q) = 1. Let p(w) = -a(w) + n(w). Calculate p(b). -2 Let l(k) = -k**3 - 11*k**2 + 11*k + 4. Let h be (-20)/(-11) + (-24)/(-132). Suppose 5*n = 5*r + 80, 5*r + h*n + 68 - 16 = 0. Give l(r). 16 Let s = -277 - -266. Let r(n) = -n**2 - 10*n + 8. Let f be r(s). Let j(d) = d - 2. Calculate j(f). -5 Suppose -52*k - 36*k + 456 = -12*k. Let q(g) = -2*g + 32. What is q(k)? 20 Let z = -22434 - -22441. Let k(m) = -2*m**3 + 10*m**2 + 23*m - 12. What is k(z)? -47 Let r(v) = 2*v. Suppose -10*y + 749 = 259. Let i = y - 50. Determine r(i). -2 Let x(f) = -26*f**2 + 67*f - 131. Let w(t) = 5*t**2 - 13*t + 25. Let u(d) = 21*w(d) + 4*x(d). Suppose -3 = -4*l + 9. Determine u(l). -5 Let v(p) = 2*p**2 + p + 9. Let r(q) = -q**2 + q - 4. Let f(b) = -5*r(b) - 2*v(b). Calculate f(5). -8 Let z(q) = 6 - 2*q + 2*q**2 - 24 - 2*q**2 + 21 + q**3. Give z(0). 3 Let z = 667 - 663. Let d(v) = 566*v**2 + v + z*v - v - 567*v**2. Give d(3). 3 Let n(c) be the third derivative of c**5/60 - 3*c**4/8 - c**3/6 - 6*c**2 + 12*c. What is n(7)? -15 Let i(p) be the second derivative of 4*p**3 + 4*p**2 - 1033*p. Give i(3). 80 Let m(q) = q**3 + 5*q**2 - 13*q + 3. Let b(y) = -17*y**3 + 10*y**2 - 5*y + 5. Let t be b(1). Determine m(t). -4 Let u be -2*(-3)/2 + 2. Let s = u + -2. Let l(g) = 375*g + 2*g**2 + 373*g - g**3 + 367*g - 1117*g + 0 - 4. What is l(s)? -19 Let o be 1/(((-25)/15)/(-5)). Let x(l) = 4*l - 13. Let k(n) = -5*n + 12. Let c(y) = o*x(y) + 2*k(y). Determine c(8). 1 Let x(n) = -7*n - 220*n**2 + 0*n - n + 38 + 225*n**2 + n**3. Calculate x(-7). -4 Let k = 123 + -118. Let q be (-16)/(-10)*5*(-1 - k). Let l = -49 - q. Let d(z) = -4*z. Give d(l). 4 Let w(s) = -s**2 + s - 6. Let h be -8 + (-80)/32*-4. Calculate w(h). -8 Let o(a) be the first derivative of a**3/3 + 3*a**2/2 - 4*a + 1. Let d(u) = 25*u - 2*u**2 + 76 + 9*u - 45. Let i be d(18). Give o(i). 6 Let n(p) = -2*p**3 + 2*p**2 + 3*p + 2. Suppose s - 2 = 11. Suppose 4*q = f + 4*f - s, 2*f - 4 = 2*q. Suppose q*v - 6 = -2*g, 12 + 0 = 4*g + 2*v. Determine n(g). -25 Let n(j) be the third derivative of j**6/144 - j**5/30 - 101*j**4/24 - 52*j**2. Let d(s) be the second derivative of n(s). Determine d(2). 6 Let t(d) = 6*d**2 + 247*d - 13. Let m(y) = -y**2 - 50*y + 1. Let k(s) = 5*m(s) + t(s). Determine k(-3). 10 Let p = 166 - 174. Let j(k) = 5*k**2 - 24*k - 4. Let u(z) = -3*z**2 + 16*z + 3. Let l(r) = p*u(r) - 5*j(r). Let f be 0 + -4 + -1 + 0. Calculate l(f). 11 Let j = 106 + -101. Suppose -2*f = -2*c - 2 + 14, 0 = -j*c + 4*f + 29. Let n(i) be the second derivative of i**3/6 - 6*i**2 + i. Give n(c). -7 Let f(w) = -w**3 + 7*w**2 - 18*w - 12. Let r(l) = -18*l**2 + 10*l**2 + l**3 + 12 + l**2 + 16*l. Let u(z) = 4*f(z) + 5*r(z). Determine u(5). 2 Let t(g) be the first derivative of g**4/4 - g**3/3 - g - 1083. Determine t(3). 17 Let a(i) = -i**3 - 2*i**2 - 2*i - 3. Let r = 52 + -61. Let j(x) = x**2 + 8*x - 5. Let d be j(r). Suppose -d*o + 12*o = -16. Give a(o). 1 Let d(u) = -2*u**2 - 5*u + 4. Let q be (-46)/(-621) - (-980)/(-108). Let a be ((-6)/q)/(36/(-378)). Give d(a). -59 Let m = 12 - -35. Let b = m + -42. Suppose -40 = b*k + 3*i, -4*i = 4*k - 11 + 51. Let t(x) = x**3 + 6*x**2 + 4*x - 3. What is t(k)? 2 Let a = 265 - 262. Let y(u) = -4*u**a + 6*u**2 + 15*u + 12 + 3*u**3 + 5*u**2 - 4*u. Calculate y(12). 0 Let f(k) = 20*k - 18. Let v be ((-6)/16)/((-45)/360). Let w(s) = 7*s - 7. Let j(u) = v*f(u) - 8*w(u). What is j(1)? 6 Suppose 5*z - z = 12. Let a(b) = 8*b**2 + 2*b + 3. Let g(j) = 7*j**2 + j + 2. Let h(m) = -3*a(m) + 4*g(m). Determine h(z). 29 Let j(f) = -11*f - 2. Let z(h) = h**2 + 26*h - 55. Let m(w) = 3*j(w) + z(w). Determine m(10). -31 Let n(r) be the third derivative of -r**6/120 - r**5/60 - r**3/6 + 5*r**2. Let x be (-34)/(-3) - 12/36. Suppose 17 = -x*h - 5. Determine n(h). 3 Let u(r) be the second derivative of -r**5/20 + 5*r**4/6 - 10*r**3/3 + 21*r**2 - 409*r. What is u(8)? 10 Let a(y) be the third derivative of -y**5/60 - 2*y**3/3 + 29*y**2. Suppose f - 103 - 18 = 4*j, -93 = 3*j - 3*f. Let u = j - -26. Determine a(u). -20 Let g(v) = 3*v + 24. Let f(j) = j - 6. Let b be f(-4). Let i be g(b). Let n(z) = z**3 + 7*z**2 + 7*z. Calculate n(i). -6 Let m(g) = -g**3 + 4*g**2 - g - 7. Suppose 4*l - 4*h - 118 = -5*h, -h = -l + 27. Let w be 13/78 + l/6. Determine m(w). -37 Suppose 7*i + 33 - 166 = 0. Let j(p) = -p**3 + 21*p**2 - 40*p + 35. Let z be j(i). Let f(h) = -h**3 - 5*h**2 - 5*h - 2. What is f(z)? -5 Let j = -39 - -26. Let u = -17 - j. Let i(g) be the second derivative of g**4/12 + 5*g**3/6 - 3*g**2/2 + 390*g. What is i(u)? -7 Let a(w) = w**2 + w. Let z(c) = -34*c - 2. Let y(s) = -6*a(s) + z(s). Calculate y(-5). 48 Let d(f) = 17 + 0*f**2 - 6*f - 29 + f**2 - 5*f**2 + 6*f**2. Calculate d(-5). 68 Let d(o) be the second derivative of -o**5/20 + o**4/12 + 4*o**3 - 21*o**2/2 + 771*o. What is d(5)? -1 Suppose 0 = 7*h - 3*h - 12. Let f(k) be the first derivative of -11*k**2/2 - 3*k - 43771. Determine f(h). -36 Let z be (-52)/(-39)*(-3)/(-2). Suppose 4*s = 2*g + 16, -4*s - s = -z*g - 20. Let v(a) = 2*a + 0*a**2 - 3*a + 0*a**2 + a**3 - a**2. Determine v(g). 0 Let o(l) = -l**2 - 5*l + 3. Suppose -1 = -5*a + 19. Let g = -424 - -433. Suppose g*u - a*u = -25. Calculate o(u). 3 Let b(m) = -7*m - 1. Suppose -120 = -3*p - 4*s, -5*s + 164 = 4*p - s. Let r = 52 - p. Suppose -4 = -12*v + r*v. Give b(v). -8 Let u(m) be the third derivative of -m**6/360 - m**5/120 + m**4/6 + 3*m**3/2 + 20*m**2. Let d(r) be the first derivative of u(r). Determine d(-3). -2 Let c(q) = 3*q**2 - 20*q + 8. Let x = 18685 + -18680. Determine c(x). -17 Let d(s) = s**2 + 10*s - 9. Let v be d(-11). Let b(f) = 25*f + 5*f**2 - 20*f - 4*f**v + 8 - 3. Suppose 3*p + 5*u = -7 - 3, 3*p + 4*u = -11. Calculate b(p). 5 Let f(q) be the first derivative of -q**2/2 - 2*q - 335. Suppose -2*p = -6, 4*p - 1 = 2*l + 19. Calculate f(l). 2 Let y(o) = o**3 - o**2 + o + 2. Let h(g) = -10*g**2 + g + 3. Let u be h(-2). Let v = 87 + -124. Let t = v - u. Determine y(t). 8
{ "pile_set_name": "DM Mathematics" }
10*c. Let w(y) = y**2 + 3*y - 595. Let u be w(-26). Let t(o) be the second derivative of -22*o - 1/3*o**u + 0 + 0*o**2. Give j(t(h)). -20*h Let y(w) = -104*w**2 - 7*w. Let g(o) = -190*o + 7. Let c(s) = 163*s - 6. Let l(x) = 7*c(x) + 6*g(x). Give l(y(h)). -104*h**2 - 7*h Suppose -22*t = 9 - 75. Let n(h) = -t*h + h + 4*h + 0*h. Let w(j) = j + 43. Determine n(w(y)). 2*y + 86 Let k be (-8)/52 + (-56)/(-26). Let f(q) = -3*q**2 + 4*q**2 + 6*q**k - 3*q**2. Let d(v) = v. Let b(i) = -24*i. Let j(c) = -b(c) - 15*d(c). Give f(j(w)). 324*w**2 Let n(b) = -2*b. Let s(w) = 134515366*w**2. Give s(n(l)). 538061464*l**2 Let s(c) be the third derivative of c**4/24 + 1305*c**2 - c. Let z(u) = -29*u**2. Give z(s(k)). -29*k**2 Let o(u) = 591*u - 30. Let b(r) = 108*r - 5. Let y(t) = 11*b(t) - 2*o(t). Let d(f) = 54*f**2. Calculate y(d(x)). 324*x**2 + 5 Let p(t) = -25*t + 5. Let m(j) = -13295*j - 2. What is m(p(d))? 332375*d - 66477 Let u(d) = -9*d**2 - 11*d. Let k(m) = -7798*m. Give u(k(z)). -547279236*z**2 + 85778*z Let x be (-18)/(-8) - 1/4. Let v(i) = -7*i**x + 0 + 0. Let q(h) be the first derivative of h**3/3 + 870. Give v(q(m)). -7*m**4 Let h(r) = -r**2. Suppose 2*l - 2*q - 5 = -l, l - 25 = -4*q. Suppose -4*t = -5*u + 3, 2*t - l*u + 11 = 2. Let k(w) = 12*w - t*w - 2*w. Calculate k(h(j)). -7*j**2 Let t(u) = 14*u + 1477062. Let y(w) = w. Give t(y(o)). 14*o + 1477062 Let v(b) = 15*b - 83. Let n(z) be the second derivative of -z**4/12 + 25*z - 6. Calculate v(n(f)). -15*f**2 - 83 Let a(q) = 16*q - 18. Let y(l) = -4*l + 4. Suppose -16 + 6 = 5*w. Let c(h) = w*a(h) - 9*y(h). Let t(p) be the second derivative of p**4/2 + 7*p. Give c(t(z)). 24*z**2 Let m(r) be the second derivative of -r**4/12 + 277*r. Let p(g) = 116*g**2 + 2. Calculate p(m(h)). 116*h**4 + 2 Let b(f) be the first derivative of -f**3/3 - 3838. Let p(l) = -16*l - 2. Let x(w) = 63*w + 9. Let s(c) = 18*p(c) + 4*x(c). Determine s(b(z)). 36*z**2 Let f be ((-17466)/(-355))/(1/20). Let l(k) = f*k - 1966*k + 987*k. Let u(x) be the third derivative of -7*x**4/24 - 2*x**2. Determine l(u(n)). -35*n Let h = 46 + -42. Suppose -h*m + 4 = 0, p + 3*m + 1 = 8*m. Let b(s) = 5*s - 2*s + p*s. Let l(y) = 2*y. Determine b(l(q)). 14*q Let g(a) = 6218*a**2. Let v(h) = -21*h**2 - 16*h + 200. Let x(c) = -8*c**2 - 6*c + 75. Let y(i) = -3*v(i) + 8*x(i). Give g(y(j)). 6218*j**4 Let r(b) = 35*b**2 + 0*b - 41*b**2 + 0*b. Let i be 1139/4 - 48/64. Let m(n) = 284 + 9*n - i. What is m(r(a))? -54*a**2 Let h(c) = 259407 - 259407 + c. Let r(d) be the first derivative of -d**3/3 + 622*d + 2. Calculate r(h(n)). -n**2 + 622 Let b(z) = z - 5. Let g(m) be the second derivative of -7*m**4/12 - 916*m. Calculate g(b(v)). -7*v**2 + 70*v - 175 Let l(r) = -4*r. Let a(q) be the first derivative of 1/4*q**4 + 0*q**3 - 21/2*q**2 - 17 + 0*q. Let i(y) be the second derivative of a(y). What is i(l(h))? -24*h Let m(z) be the second derivative of -3/4*z**4 + 0 + 0*z**2 - 18*z + 0*z**3. Let n(c) = 6*c**2. Calculate n(m(g)). 486*g**4 Let l(u) = -11218*u. Let p(j) = -2. Let w(h) = -66*h + 12. Let b(m) = 12*p(m) + 2*w(m). Let n(v) = 426*b(v) - 5*l(v). Let r(a) = 2*a. Determine r(n(z)). -284*z Let z(n) = 4*n + 14. Let i(u) = 2*u + 347. Determine i(z(q)). 8*q + 375 Let x(v) = v**2 + 5*v + 102. Let m(w) = 281*w**2 - 145*w**2 - 139*w**2. What is x(m(y))? 9*y**4 - 15*y**2 + 102 Let u(i) be the third derivative of -7*i**4/24 + i**2. Let s(p) = -1579*p - 1580*p + 3154*p. What is u(s(b))? 35*b Let c(o) = -4 + 2 - 2*o + 2. Let q(h) be the third derivative of -13*h**5/20 - 2*h**2 - 38. Determine c(q(d)). 78*d**2 Let o(m) = -2*m**2. Let r(y) be the first derivative of 0*y**2 + 35*y + 7/4*y**4 - 4 + 0*y**3. Let z(n) be the first derivative of r(n). What is o(z(h))? -882*h**4 Let o(v) = -749*v + 2. Let r(d) = -34273*d**2 - 3. Calculate o(r(x)). 25670477*x**2 + 2249 Let k(g) = g**2 + 29600*g + 22. Let o(c) = 31*c**2. Calculate k(o(q)). 961*q**4 + 917600*q**2 + 22 Let j(w) = 2*w. Let s(u) be the third derivative of -2401*u**5/20 - 4695*u**2. Calculate j(s(f)). -14406*f**2 Let j(v) = -32304*v**2. Let t(b) = b**2 - 45. Calculate t(j(r)). 1043548416*r**4 - 45 Let m(q) = q**2 - 11. Let f(t) = t**3 - 16*t**2 - 17*t + 2. Let j be f(17). Let d(n) be the first derivative of 6*n + 17 - n - 5*n - n**j. Calculate m(d(k)). 4*k**2 - 11 Let n(o) = -2 + 4 + 28*o - 4. Let t(b) = -586*b + 15. Let w(h) = -3399*h + 87. Let d(r) = 29*t(r) - 5*w(r). Determine n(d(m)). 28*m - 2 Let a(g) = 18*g + 11*g - 6*g - 24*g. Let w(j) = 89*j + 24. Give w(a(v)). -89*v + 24 Let d be 36/7 - 34/238. Let s(j) = 2 + 218*j**2 - 5*j - 104*j**2 - 106*j**2 + d*j. Let r(a) = a**2. Determine s(r(p)). 8*p**4 + 2 Let t(z) = -29*z**2 - 6*z + 24. Let h(j) = 24*j**2 + 5*j - 24. Let d(m) = 6*h(m) + 5*t(m). Let x(s) = -4*s**2. Determine d(x(r)). -16*r**4 - 24 Let n(x) = -8*x + 3. Suppose -305 = -85*f - 50. Let h(c) = 8 - 105*c + 27 + 10*c. Let g(i) = f*h(i) - 35*n(i). Let p(w) = 3*w. Calculate g(p(z)). -15*z Let l(x) = -5*x - 3*x - x + 32*x - 4*x. Let t(c) = 127*c**2. What is l(t(b))? 2413*b**2 Let i(o) = -123*o**2 + 10*o + 48. Let c(r) = 10*r + 1. What is c(i(w))? -1230*w**2 + 100*w + 481 Let q(y) = y. Let c(j) = 2978*j + 9765. What is c(q(z))? 2978*z + 9765 Let v(c) = 2*c. Let x(f) = -2473881*f. What is v(x(s))? -4947762*s Let q(o) = -2*o + 118190303. Let x(r) = -2*r. Give x(q(w)). 4*w - 236380606 Let y(q) = -q**2. Let h(n) = -25*n**2 + 3*n - 3. Let b(r) = 8*r + 40. Let v be b(-6). Let s(m) = -75*m**2 + 8*m - 8. Let w(z) = v*h(z) + 3*s(z). Give w(y(p)). -25*p**4 Let v(h) be the third derivative of 179*h**5/60 - h**3/3 + 129*h**2 + h. Let g(a) = -39 + 78 - 39 + 2*a**2. What is g(v(d))? 64082*d**4 - 1432*d**2 + 8 Let z(g) = 2*g**2. Let y(u) = -11128579*u. Calculate z(y(l)). 247690541118482*l**2 Let a(r) = -6*r**2. Let s(h) = -8*h + 40311. Give s(a(f)). 48*f**2 + 40311 Let v(z) = 2*z - 66. Let i(l) be the second derivative of -7*l**4/12 + 4565*l. Give i(v(t)). -28*t**2 + 1848*t - 30492 Let v(p) = 3*p + 8. Let i(r) = -6*r + 4. Let w(k) be the second derivative of 7*k**3/3 - 5*k**2 + k + 6. Let a(b) = -5*i(b) - 2*w(b). What is a(v(t))? 6*t + 16 Let t(g) = 0 + 77*g**2 - 148*g**2 + 1 + 214*g**2 + 1. Let j(c) = c. Give j(t(n)). 143*n**2 + 2 Let s(b) be the first derivative of 0*b**2 + 2/3*b**3 - 107 + 0*b. Let w(v) = 5*v**2 + 4. Determine s(w(k)). 50*k**4 + 80*k**2 + 32 Let d(y) = -36*y. Let f(s) be the third derivative of 0 - 168*s**2 + 1/3*s**4 + 0*s + 0*s**3. What is d(f(h))? -288*h Let y(z) be the second derivative of -2*z**3/3 - z - 1484. Let x(c) = -5*c - 2. Give x(y(f)). 20*f - 2 Let h(o) = 8*o. Let x(z) = 46313177*z**2. What is x(h(t))? 2964043328*t**2 Let h(w) = -85 + 49 - 111*w**2 + 36 + 113*w**2. Let o(j) = -j - 314. Determine h(o(a)). 2*a**2 + 1256*a + 197192 Let l(n) = -2 + 2 - 21*n**2. Let d(f) = 34*f. Suppose 2 = -4*y + 3*q + 6, 5*q + 10 = 5*y. Let u(k) = 5*k. Let h(p) = y*d(p) + 14*u(p). Determine l(h(g)). -84*g**2 Let g(p) = -4*p. Let n(h) = -362*h**2 + 6*h - 739. Let d(f) = 302*f**2 - 5*f + 737. Let t(m) = -6*d(m) - 5*n(m). Calculate g(t(k)). 8*k**2 + 2908 Let j(q) = 11*q. Let o(p) = -p - 2. Let t(i) = -2*i - 16. Let d(n) = -40*o(n) + 5*t(n). Determine d(j(c)). 330*c Let b(h) = 23*h**2. Let s(w) = -21*w - 19*w + 97*w - 21*w - 26*w. Calculate s(b(l)). 230*l**2 Let y(u) = -u. Let p(w) = -36219*w**2 + 10. Give p(y(k)). -36219*k**2 + 10 Let s(j) = -24*j**2. Let n(w) be the first derivative of -3/2*w**2 + 0*w**3 - 1/12*w**4 - 2 + 0*w. Let c(v) be the second derivative of n(v). What is c(s(a))? 48*a**2 Let y(w) = 19144*w**2. Let d(i) = -i - 266. Give d(y(u)). -19144*u**2 - 266 Let k(a) = a**2. Let r(c) = -5215 - c + 10399 + 3*c - 5223. Determine r(k(z)). 2*z**2 - 39 Let u(w) = -w**2. Let a(m) be the first derivative of 825*m**3 + 60. Determine a(u(h)). 2475*h**4 Let h(q) = -354005646*q. Let t(s) = -2*s. Give h(t(y)). 708011292*y Let o(c) = 84 + 109*c**2 - 158 + 75. Let x(m) = m + 82. Let h(q) = -5*q - 369. Let l(z) = -2*h(z) - 9*x(z). Determine o(l(f)). 109*f**2 + 1 Let u(c) = -6*c - 27. Let w(v) = v + 4. Let i(d) = 4*u(d) + 27*w(d). Let r(x) = 1207*x - 2424*x + 1214*x. What is r(i(h))? -9*h Let n(k) = k**2. Let v(a) = -1192895*a + 40. Give v(n(t)). -1192895*t**2 + 40 Let y(s) = -s**2 - 135*s - 379. Let c(l) = -22*l. Dete
{ "pile_set_name": "DM Mathematics" }
p)/p)/p)/p*p)*p)*(p*p*p*p**(2/3)*p)**(-3/2))**(-6/37))**36 assuming p is positive. p**(32832/407) Simplify ((r**5*r)/(r*r/(r**(3/5)*r))*(r*(r**(-1/4)*r)/r)/r**6)/(r**(-7)*r/(r*r*r/(r/(r/((r**8/r)/r)))))**(17/5) assuming r is positive. r**(211/20) Simplify (s*s**(2/3)*s*s**(-1/7)*(s*s*(s/(s**2*s))/s*s*s*s)**36)/(s*s**1*s*s/(s*s/s**(3/7)*s)*(s**(2/9)/s)**38) assuming s is positive. s**(6467/63) Simplify ((k**(1/2))**(7/5))**(-45)*(k**(-3)/k**(3/10))**44 assuming k is positive. k**(-1767/10) Simplify ((s/s**(-6/7))**(-23/5)*(s*s**1)**(-13))**2 assuming s is positive. s**(-2418/35) Simplify (m**(2/7))**(1/8)/(m**(-2)*m)**22*m**(5/4)/(m/(m/m**(1/2)))*(m*m**0)/(m/(m/(m/m**(-1/11)*m)*m)) assuming m is positive. m**(3495/154) Simplify c**(1/4)*c**(-5)*c**(1/5)/c*c*c/(c**(-2/11)*c)*((c/(c*c**(-1/4))*c)/c**7)**(-35) assuming c is positive. c**(21657/110) Simplify (((c*c/(c**14/c))/(c*c*c**(-2/55)*c))/(c**(-3)*c**(-4/5)*c))**(15/7) assuming c is positive. c**(-1842/77) Simplify (h**(2/5)/((h*h**(-1/2)*h)/h*h))/(h/(h*h**3)*h*h*h/h**(-2/5)*h)*((h/h**(-3/5))/(h/(h**(-1/2)/h)))**(-1/4) assuming h is positive. h**(-91/40) Simplify (q*q/((q/(q/q**(-1/5)*q))/q))**(4/3)*q**(-2/31)/(q*(q**(-8)/q)/q*q)*q**(3/2)/(q**8/q)*q**4*q**2 assuming q is positive. q**(4351/310) Simplify (m**(2/9)*m*m/m**(-5/3))**48/((m/m**(-1))**(-24))**21 assuming m is positive. m**(3584/3) Simplify (((l/l**(-2))/((l*l*l**(-3/5)*l)/l))/(l/l**0)**(-39))/(((((l**(1/3)/l)/l)/l)/l)**(1/17)*(l**1)**(-1/6)) assuming l is positive. l**(6967/170) Simplify ((h**(-12)/h)/h**(-3))**(23/2)/(h**(2/3)*h/(h/h**(-1))*(h/((h/((h/h**(-7))/h))/h)*h)/h*h**4) assuming h is positive. h**(-380/3) Simplify ((r/(r/(r**(-1/3)*r)))**39)**10/((r/(r*r/r**1)*r)**(-1/5))**(-20/11) assuming r is positive. r**(2856/11) Simplify (d**(6/7)*d*d/(d*d/d**(1/7)))/(d**(-1)*d**9/d*d)*((d/((d/(d*d*d/(d*d**(-1/4))))/d))/d)/(d**0*d)*d**0/d**9 assuming d is positive. d**(-59/4) Simplify ((f*f**(-2))**0)**(2/75)/(((f/f**(-2))/(f**(2/35)/f))/(f**(-1)/f)**(1/42)) assuming f is positive. f**(-419/105) Simplify (((d*d**(-1/2))/d*d)**34/(d**(-1)/(d**1/d)))/((d**(2/5))**(-48))**(3/14) assuming d is positive. d**(774/35) Simplify ((k**(2/7))**9*(k**(1/3))**(-45))/((k**(-1))**(-4)*k**6*k**(-2)) assuming k is positive. k**(-143/7) Simplify ((l**(-1))**27/(l*l**1*l*l)**(2/5))/((l*l*l**6*l*l)/l**(-2/3))**(15/8) assuming l is positive. l**(-243/5) Simplify ((g**1)**(-5/4)/(g**(-1))**(-8))/((g*g**(5/4))/g*g**(-2/11)*(g/(g**(-4)*g*g*g*g))/((g**2*g)/g)) assuming g is positive. g**(-205/22) Simplify (((r/(r/(r/(r**(4/3)*r))))/r)**20/(r**(3/14)/r**(9/2)))**(-3) assuming r is positive. r**(890/7) Simplify ((d*d**1)**(4/5)*(d**(-1/2)/d)/(d*(d*d*d**(-4/7))/d))**(-16/9) assuming d is positive. d**(248/105) Simplify (g**2/g**(-2/3))/(g/(g**(-5/3)/g*g)*g*g**1)*(g/(g*g/g**(-3))*g**4/g)/(g**(-1/2)/g)**(2/7) assuming g is positive. g**(-18/7) Simplify (w/w**7*w)/((w/(w**(-2/3)/w))/w*w)*(w**(-2/7)*w*w)**(-26)*(w*w**(-3/7))/w**(2/25)*w**(-5)*w**1*w assuming w is positive. w**(-4106/75) Simplify (n**5*(n**(-2/13)*n)/n*((n/(n**(-2)/n))/n)**38)/((n**(-2))**14/(n**0)**11) assuming n is positive. n**(1909/13) Simplify (((f*f**(-2)/f)/f**5)/(f**4/(f/((f*f**(-2/11)*f)/f))))/((f**1)**(-34)*f**(1/5)/f*f/(f*f**(3/8))) assuming f is positive. f**(10717/440) Simplify ((v**(-1/30)/v*v**(3/10))/(v**(-1)/v**(-2/37)))**(2/21) assuming v is positive. v**(236/11655) Simplify (c**(2/7))**22*c**(-4)/((c*c/(c/((c**(-2/3)*c*c)/c*c)))/c)*(c*c*c**(1/4)*c)**(8/3)*c**6*c**(-2/3) assuming c is positive. c**(314/21) Simplify (m*m/(m**(-2/75)*m)*m/(m/(((m**42/m)/m)/m*m)))/(m*((m/(m*m*m**21)*m)/m)/m)**(-2/93) assuming m is positive. m**(31429/775) Simplify ((l*l/l**(3/5)*l*l**12)/(((l/l**(-2/9))/l)/(l/(l/(l**0*l*l))*l)))**(1/25) assuming l is positive. l**(773/1125) Simplify ((((n**(-2/29)*n*n)/n)/(n/(n*n**(6/11))))**(-1/7))**(-6/17) assuming n is positive. n**(2826/37961) Simplify ((q**(1/33))**(-29)/((q**11/q)/q**(-5)))**(-1/17) assuming q is positive. q**(524/561) Simplify (g*g**(-1/3))**(2/29)/(g**3*g**(-4/9))*(g*g**(-1))/(g*(g*g/((g/((g*g**1)/g))/g))/g*g*g)*(g/(g/(g**(-2/7)/g)))**(-31) assuming g is positive. g**(59099/1827) Simplify (q/q**(-2/7)*q*q**(2/23))/(q**(-1/2))**(-32/3)*((q*q**0)/q)**26*(q/(q*q**(-2/3)/q))**40 assuming q is positive. q**(30770/483) Simplify (o*o**(3/5)*(o*o/(o*o/(o*o*(o**(-3/2)*o)/o)))/o*o)**(-4/7)/((o**0/o)**50*o*o*(o*o**(1/11))/o*o**(-6)*o) assuming o is positive. o**(2844/55) Simplify x*x/x**(-1)*x*x*x**(-6)*x**7*x/(x*x**(2/11))*(x**(-2/5)/x)**(-24)/((x/(x/((x*x**(1/2)/x*x)/x))*x)/x**(-2/9)) assuming x is positive. x**(37319/990) Simplify (v**(7/3)*v/(v**(-5/2)*v)*(((v*v/((v/(v**11/v))/v))/v)/v)**(-10/7))**(4/29) assuming v is positive. v**(-794/609) Simplify (d*d**(1/2)*d*d/(d**(-1/5)/d*d)*d)**(23/3)*(d**(2/11)*(d/(d**4/d))/d)/((d/d**(2/9))/(d*d*((d/(d/d**(-2/3)))/d*d)/d*d)) assuming d is positive. d**(33433/990) Simplify ((w*w**(-2/7))**(-7/9))**(-9)/((w**(1/5)*w)**(-12/13)*(w/(w/w**2))**47) assuming w is positive. w**(-5713/65) Simplify (g**(-1)*g**(2/13)*g*g**(-1)*g/(g*g*g*g**(1/7))*g*g)/(g**0*g*g/(g**(2/17)/g))**(-30) assuming g is positive. g**(132240/1547) Simplify ((k/k**1)**(-33)*((k/(k**6/k))/k)/(k**(-8)/k))/((k**0/k)**40/(((k/(k*k*k**6))/k)/(k/(k/k**(-2))))) assuming k is positive. k**38 Simplify ((k/(k*k**(3/7))*k**(2/11)/k*k)/(k**0/(k/(k/(k/(k*k/((k**(4/7)*k)/k))))*k)))/(((k*k**(1/4))/(k*k**8))/(k**(2/5)/k**3)) assuming k is positive. k**(8431/1540) Simplify ((((g/((g**(-6)*g)/g*g))/g)/(g/(g*g**(1/4)*g)))/(g**(2/7)*g*g**1))/(((g/g**(-1))/g)/(((g**(-7)*g)/g)/g))**(2/75) assuming g is positive. g**(2607/700) Simplify (((b*b**(-5))/(b/b**(3/4)*b))/(b**(-2))**(1/4))/(((b/(b/b**7*b))/b**(-3))/(b**(-1/4))**31) assuming b is positive. b**(-43/2) Simplify (((((o*o*o*o*o**(2/33)/o*o)/o*o)/o)/o**7*(o/o**(2/5)*o)**(-3/13))**44)**(6/5) assuming o is positive. o**(-73936/325) Simplify ((o/(o*o/o**4*o))/o**(-2/7)*o**(-1/5)/(o*o**(1/12)/o*o))/((o**(-1)*o*o*o/(o/o**(1/4)))/(o/o**(2/3))**(-4/9)) assuming o is positive. o**(-374/945) Simplify (((((f/(f*f**5*f))/f)/f)/(f/(f/f**5)*f))/(f**(-7)*f*f**(2/11)))/((f**(-5)*f)/(f*f/(f**(-2/15)*f)*f))**(-1/46) assuming f is positive. f**(-1372/165) Simplify (((u**(-7)/(u**(-9)*u*u))/(u*u*(u*u**(-2/33))/u*u/(u*u/(u/(u**(-9)/u*u))*u)))**27)**(1/18) assuming u is positive. u**(-164/11) Simplify (((x**(2/9))**(1/62)*(x/(x**8*x))/x**(-2/13))**20)**(12/5) assuming x is positive. x**(-455120/1209) Simplify ((v*v/v**4*v)**(-1/44)*(v**(-9))**(6/17))**(-2/39) assuming v is positive. v**(2359/14586) Simplify (f**10/(f/(f*f**(1/21)*f)))**(-2/9)*f**4/(f*(f*f/(f**(-6)/f*f*f*f*f))/f)*(f*f**(-2/5))/((f*f*f**(-4))/f*f) assuming f is positive. f**(-808/945) Simplify (((p*p*((p*p**(-4))/p)/p)/p)/p**2)**(-5/7)*((p*p**(-3/4))/p**(-1/7))/(p/((p*p**2/p*p)/p)*p**(-3)) assuming p is positive. p**(243/28) Simplify ((n/n**(-2/7))**(9/8)/(n**(5/4)/(n/(n/(((n*n**1)/n)/n*n)))))/((n*n**3)/(n/(n/(n/n**(-3)))*n)*(n**(-1/4))**(-29)) assuming n is positive. n**(-283/56) Simplify ((s*s*s**(-10/11)*s*s**16/s)/(s*s**16*s**(-25)))**13 assuming s is positive. s**(3588/11) Simplify ((j/j**(-1/2))/j**(-3)*j**(-1/3)/((j*j**(2/5))/j))/(((j/j**(-2/5))/j)**(-1/3)/((j/((j*(j/j**(3/4)*j)/j)/j)*j)/(j**6/j))) assuming j is positive. j**(13/20) Simplify (q**(-3/8)/(q*q*q**(2/9)))/((q*q**(-5))/((q**(-2)/q)/q))*((q*q/(q/(q/(q*q**(-1/3)*q))))/q*q**8)**(-33) assuming q is positive. q**(-17611/72) Simplify (b**(-1/41)*b)**(-4/7)/(b**7*b**(1/35)*b*b*b*b) assuming b is positive. b**(-16626/1435) Simplify ((c*c*c**(-13/3)*c*c*c)**(1/7)/(c/(c/(c*(c/(c/(c*(((c**(-5/9)/c)/c*c)/c)/c)))/c)))**(-6/5))**(12/13) assuming c is positive. c**(-96/35) Simplify ((g*g/g**(1/2))**(-1/6)*g**8/g**(-3))/((g*g**(-2/3))**(-21)*(g**(-1/2))**1) assuming g is positive. g**(73/4) Simplify b**(-2/15)/((b**(-2/121)/b)/b)*((b*b**(-20))/b)/(b/b**34) assuming b is positive. b**(27013/1815) Simplify (((((x*x**4)/x)/x**(-2))/(x*x**5*x**4))**(-10))**37 assuming x is positive. x**1480 Simplify (((w*w**(-12)*w*w**(-1/8))/(w**(2/25)*w*w*w**5))**43)**(-44) assuming w is positive. w**(1627593/50) Simplify (o**(7/2)/(o*o**(-1/2)))/(o*o**(1/3)*o)**(-15/2)*((o/((o**(-9)*o)/o)*o)/(o*(o**(1/6)*o*o)/o))**(-2/19) assum
{ "pile_set_name": "DM Mathematics" }
denominator of 97/32 and -44/7. 224 What is the smallest common multiple of 189 and 231? 2079 What is the lowest common multiple of 33 and 22? 66 Calculate the common denominator of 48/5 and -3/484. 2420 What is the lowest common multiple of 35 and 609? 3045 Calculate the smallest common multiple of 5950 and 18. 53550 What is the common denominator of 41/9 and 64/357? 1071 Calculate the lowest common multiple of 1430 and 1170. 12870 Calculate the least common multiple of 33 and 5. 165 Find the common denominator of 17/3552 and -11/74. 3552 Calculate the smallest common multiple of 4986 and 3324. 9972 Calculate the least common multiple of 1386 and 1386. 1386 Calculate the lowest common multiple of 10 and 2. 10 Calculate the common denominator of -109/500 and 13/50. 500 What is the smallest common multiple of 42 and 56? 168 Calculate the least common multiple of 2288 and 88. 2288 Calculate the lowest common multiple of 12 and 42. 84 Calculate the common denominator of 27/85 and 49/34. 170 Calculate the lowest common multiple of 603 and 469. 4221 Calculate the common denominator of 74/51 and -50/33. 561 Calculate the least common multiple of 162 and 567. 1134 What is the least common multiple of 2868 and 4? 2868 What is the common denominator of -9/16 and 103/22? 176 What is the common denominator of -137/2610 and 149/8700? 26100 What is the common denominator of -157/588 and 48/11? 6468 What is the common denominator of -73/30 and 6? 30 What is the common denominator of 1/35 and 65/276? 9660 What is the common denominator of 11/9 and 151/54? 54 What is the common denominator of 55/312 and -59/416? 1248 Calculate the smallest common multiple of 378 and 9. 378 Calculate the smallest common multiple of 7475 and 9. 67275 Calculate the least common multiple of 144 and 44. 1584 Calculate the smallest common multiple of 396 and 540. 5940 Calculate the common denominator of -191/1830 and -11/7. 12810 What is the common denominator of 99/2 and 2/19147? 38294 What is the common denominator of 11/398 and -9/22? 4378 What is the least common multiple of 55 and 2795? 30745 Calculate the smallest common multiple of 112 and 12. 336 Calculate the smallest common multiple of 660 and 40. 1320 What is the least common multiple of 220 and 385? 1540 Calculate the common denominator of -38/77 and 2/2149. 23639 Calculate the least common multiple of 915 and 18. 5490 Calculate the common denominator of 53/1448 and -1/10136. 10136 What is the least common multiple of 16 and 20? 80 What is the common denominator of -91/2 and -143/36? 36 Calculate the common denominator of -133/12 and -13/1878. 3756 Calculate the least common multiple of 40 and 1. 40 Calculate the least common multiple of 60 and 160. 480 Find the common denominator of 103/66 and -53/12. 132 What is the lowest common multiple of 4 and 6548? 6548 Find the common denominator of 10/3843 and -19/63. 3843 Calculate the common denominator of -57/8 and -113/10. 40 Calculate the common denominator of -79/90 and -149/8316. 41580 Find the common denominator of -109/50 and -163/30. 150 Calculate the common denominator of 46/45 and -14/195. 585 Find the common denominator of 3/22 and 1/2910. 32010 What is the common denominator of 23/21 and -89/1044? 7308 What is the common denominator of 109/30 and 27/70? 210 What is the least common multiple of 5996 and 7? 41972 What is the least common multiple of 16 and 90? 720 Find the common denominator of 43/448 and -151/384. 2688 What is the common denominator of -103/90 and -81/4? 180 Calculate the common denominator of -97/304 and 117/280. 10640 Calculate the smallest common multiple of 18 and 20. 180 Calculate the common denominator of -113/220 and -19/3278. 32780 Calculate the common denominator of 107/288 and 113/96. 288 Find the common denominator of 85/42 and 89/2118. 14826 What is the common denominator of -67/510 and 70/153? 1530 Calculate the least common multiple of 528 and 8. 528 Calculate the smallest common multiple of 2850 and 11. 31350 Calculate the smallest common multiple of 18 and 228. 684 Calculate the smallest common multiple of 6 and 343. 2058 Calculate the least common multiple of 680 and 240. 4080 Calculate the common denominator of 65/132 and 65/22. 132 Calculate the smallest common multiple of 10 and 126. 630 What is the common denominator of 9/8 and 41/44? 88 Calculate the common denominator of 81/220 and 49/96. 5280 What is the smallest common multiple of 2 and 12? 12 Calculate the common denominator of -3/2 and 97/80. 80 Calculate the smallest common multiple of 88 and 48. 528 Calculate the common denominator of -49/230 and -32/713. 7130 What is the least common multiple of 40 and 25? 200 Calculate the common denominator of 85/224 and -97/280. 1120 Find the common denominator of -67/60 and -125/8088. 40440 What is the smallest common multiple of 26 and 1534? 1534 Calculate the lowest common multiple of 184 and 4. 184 Calculate the common denominator of 45/1817 and -27/253. 19987 What is the least common multiple of 17 and 2? 34 Find the common denominator of -25/18 and 113/238. 2142 What is the least common multiple of 42 and 30? 210 Find the common denominator of 8 and -11/295. 295 Find the common denominator of -35/206 and 65/16. 1648 Calculate the smallest common multiple of 1324 and 8. 2648 Calculate the common denominator of -41/5 and 21/149. 745 What is the common denominator of 53/3 and -167/756? 756 Calculate the lowest common multiple of 152 and 171. 1368 Find the common denominator of -3/5 and 65/8484. 42420 What is the smallest common multiple of 48 and 36? 144 Calculate the least common multiple of 2 and 439. 878 Calculate the least common multiple of 15 and 110. 330 What is the smallest common multiple of 16 and 9? 144 Calculate the common denominator of 71/278 and 35/8. 1112 Calculate the common denominator of -101/406 and -55/4. 812 What is the common denominator of 15/9052 and 127/3504? 108624 What is the lowest common multiple of 4654 and 3222? 41886 What is the smallest common multiple of 176 and 10? 880 What is the common denominator of 82/105 and -44/1365? 1365 Find the common denominator of -9/572 and -97/468. 5148 Find the common denominator of 41/304 and -21/32. 608 Calculate the smallest common multiple of 90 and 120. 360 Calculate the common denominator of 17/28 and 11/228. 1596 Calculate the lowest common multiple of 7008 and 2. 7008 Calculate the lowest common multiple of 1278 and 22. 14058 Calculate the smallest common multiple of 7950 and 21. 55650 Calculate the least common multiple of 914 and 6. 2742 What is the least common multiple of 8 and 72? 72 Find the common denominator of -75/44 and 7/12. 132 What is the smallest common multiple of 88 and 124? 2728 What is the common denominator of 89/10 and -69/10? 10 What is the lowest common multiple of 1710 and 72? 6840 Calculate the smallest common multiple of 4 and 56. 56 Calculate the lowest common multiple of 10 and 170. 170 What is the least common multiple of 1888 and 22? 20768 Calculate the least common multiple of 42 and 1176. 1176 Find the common denominator of -149/108 and 11/135. 540 Find the common denominator of -31/2940 and 43/1680. 11760 Calculate the common denominator of -163/84 and 91/102. 1428 What is the common denominator of -8/303 and -73/15? 1515 What is the lowest common multiple of 52 and 4? 52 What is the lowest common multiple of 3681 and 7362? 7362 What is the common denominator of -64/2241 and -143/162? 13446 Calculate the least common multiple of 3 and 9. 9 What is the lowest common multiple of 418 and 304? 3344 Calculate the smallest common multiple of 76 and 3192. 3192 Calculate the common denominator of -101/1106 and -53/711. 9954 What is the lowest common multiple of 3 and 124? 372 What is the common denominator of 131/90 and 25/18? 90 Calculate the common denominator of -22/9 and -73/16. 144 Calculate the common denominator of 77/302 and 83/8. 1208 What is the lowest common multiple of 4 and 15? 60 Calculate the least common multiple of 16 and 2. 16 Calculate the smallest common multiple of 336 and 368. 7728 Calculate the lowest common multiple of 144 and 84. 1008 Calculate the smallest common multiple of 55 and 2850. 31350 What is
{ "pile_set_name": "DM Mathematics" }
Put -31, -5, 177976 in increasing order. -31, -5, 177976 Put -701, -13, -37 in descending order. -13, -37, -701 Sort 2, 1/3, -2/15, 7.2, 0.5 in descending order. 7.2, 2, 0.5, 1/3, -2/15 Put -1, 38, 4, 30, -13, -18 in descending order. 38, 30, 4, -1, -13, -18 Put -1, -1/9, 9348, 11 in descending order. 9348, 11, -1/9, -1 Put -5, 19/15, -4, 51, -2/9 in increasing order. -5, -4, -2/9, 19/15, 51 Sort 737, -15, -0.4, 8, 2/17, -1/3. -15, -0.4, -1/3, 2/17, 8, 737 Sort -30, 143.2, -105/8 in decreasing order. 143.2, -105/8, -30 Sort 2/69, -1, -0.2, -1.3, 3, -202. -202, -1.3, -1, -0.2, 2/69, 3 Put 2853, 4, 10, -5, 2, -2, -7 in ascending order. -7, -5, -2, 2, 4, 10, 2853 Sort -15, -32601, -4, 3, 0, 5 in ascending order. -32601, -15, -4, 0, 3, 5 Put -845, 3280, -4 in decreasing order. 3280, -4, -845 Sort -3/5, 0.19, 47, -60/11, -0.2 in increasing order. -60/11, -3/5, -0.2, 0.19, 47 Sort -0.3, -4, -5.3, 1/12, -1/231 in descending order. 1/12, -1/231, -0.3, -4, -5.3 Sort -0.68, -1601, -283 in decreasing order. -0.68, -283, -1601 Put -29873, 4, -4, -49, -1 in increasing order. -29873, -49, -4, -1, 4 Sort 0.2, 91, 37/3, 2/277 in increasing order. 2/277, 0.2, 37/3, 91 Sort -3, 1, -65701, 0, 4 in descending order. 4, 1, 0, -3, -65701 Put 15, -4, -100, 61, 90 in decreasing order. 90, 61, 15, -4, -100 Sort 3227, -1.7, 2, 7.9 in ascending order. -1.7, 2, 7.9, 3227 Put 0, 4, 43202, -1, -18 in descending order. 43202, 4, 0, -1, -18 Sort 0.1, 243/11, 88359 in descending order. 88359, 243/11, 0.1 Sort -0.2, -121/24, -4.59 in descending order. -0.2, -4.59, -121/24 Put -0.081, 2/7, -99/7 in descending order. 2/7, -0.081, -99/7 Put 0.1, 23, 0, -0.085, 846 in ascending order. -0.085, 0, 0.1, 23, 846 Sort 14, 5, -11, 4, 60, -4, -5 in increasing order. -11, -5, -4, 4, 5, 14, 60 Sort -125, 3, -4, 5, 2, 40 in decreasing order. 40, 5, 3, 2, -4, -125 Sort 168, -22, -9, -1, 1, 87. -22, -9, -1, 1, 87, 168 Put 50, -1/5, 7.53094 in decreasing order. 50, 7.53094, -1/5 Put -0.0076, 11004, -1/5 in increasing order. -1/5, -0.0076, 11004 Put 1365, 4, 4856 in decreasing order. 4856, 1365, 4 Sort 2/5, 1/2, 1, 130, 0.18, 3 in increasing order. 0.18, 2/5, 1/2, 1, 3, 130 Sort 187.6, -0.3, 6/1127 in descending order. 187.6, 6/1127, -0.3 Sort 14951, 7, 0, -5, 9. -5, 0, 7, 9, 14951 Sort -3, -4, -70, -1533. -1533, -70, -4, -3 Put 2, -3977, -4/3, 29, 1/23 in increasing order. -3977, -4/3, 1/23, 2, 29 Sort 5, 0, 19647, 12 in decreasing order. 19647, 12, 5, 0 Put 4, -2, -9, -5631, 2, 3, 1 in decreasing order. 4, 3, 2, 1, -2, -9, -5631 Sort -1, 2275, 3, -3049 in increasing order. -3049, -1, 3, 2275 Sort 3/7, -9, -0.2, -0.4, 840616, 0 in decreasing order. 840616, 3/7, 0, -0.2, -0.4, -9 Sort 4/3, -3/5, -1.8, 4.325, -1 in decreasing order. 4.325, 4/3, -3/5, -1, -1.8 Sort 6, 3, -5, 171, 48, 4 in decreasing order. 171, 48, 6, 4, 3, -5 Put 5, -669691, -33 in descending order. 5, -33, -669691 Sort -4.82, 121, 1519 in ascending order. -4.82, 121, 1519 Put 3, -1642, 2/9, -4, -5, -93 in ascending order. -1642, -93, -5, -4, 2/9, 3 Sort 16, -5, 0, 3/5, -184 in decreasing order. 16, 3/5, 0, -5, -184 Sort 6, 1/2, -41/2, 25, -3.2. -41/2, -3.2, 1/2, 6, 25 Sort -280/87, 0.06, 4, 1 in increasing order. -280/87, 0.06, 1, 4 Put 447, -1, 12, 4, -13 in ascending order. -13, -1, 4, 12, 447 Sort -20, 429, 504. -20, 429, 504 Sort -16, 2, -3, 127, -4, -37 in decreasing order. 127, 2, -3, -4, -16, -37 Put -141, -4739, -19 in decreasing order. -19, -141, -4739 Sort -841, 2, 4, -1777, -23 in ascending order. -1777, -841, -23, 2, 4 Sort -4, 3514, -5/6, 9620 in increasing order. -4, -5/6, 3514, 9620 Sort -1, 5, -513, -280, 6, -12, -3 in decreasing order. 6, 5, -1, -3, -12, -280, -513 Sort -8, 7, -0.09, -0.48, 2, -15 in decreasing order. 7, 2, -0.09, -0.48, -8, -15 Sort 4, -3, -29, 5, 15794 in decreasing order. 15794, 5, 4, -3, -29 Sort -839, 2, 37, -2, 1, 0 in decreasing order. 37, 2, 1, 0, -2, -839 Sort -818, -5, -1, 2, -493 in descending order. 2, -1, -5, -493, -818 Sort -0.5, -1/788, 38, -0.8, -0.3. -0.8, -0.5, -0.3, -1/788, 38 Put 3, -5, 60, -1, -545 in increasing order. -545, -5, -1, 3, 60 Put -2, 3, 176, 5, -560, 0 in descending order. 176, 5, 3, 0, -2, -560 Sort -446, 6, 2.99, -1. -446, -1, 2.99, 6 Put 1/9, 8, 22, 0.5, 6570, -9 in increasing order. -9, 1/9, 0.5, 8, 22, 6570 Sort 5, 308, 618697 in descending order. 618697, 308, 5 Sort 135534, 2, 0, 210 in descending order. 135534, 210, 2, 0 Sort -4, 4, -3, 1, 3, 1968 in descending order. 1968, 4, 3, 1, -3, -4 Sort -1, 23, 2, 289246, -5 in ascending order. -5, -1, 2, 23, 289246 Put 2/670185, 2/5, -3/2 in decreasing order. 2/5, 2/670185, -3/2 Sort 1/4, 97, -51, 12, 2/5 in ascending order. -51, 1/4, 2/5, 12, 97 Put 2, -85, 4319, 5, 1 in ascending order. -85, 1, 2, 5, 4319 Sort -12455479, 3, 0.5 in descending order. 3, 0.5, -12455479 Sort -5, 134, 1, 5, -19, -120. -120, -19, -5, 1, 5, 134 Sort 0, -341, 394, -3 in descending order. 394, 0, -3, -341 Put -1, 5, 4/685, 7, 0.06, -0.4 in increasing order. -1, -0.4, 4/685, 0.06, 5, 7 Put 9, -6, 3092, 306 in increasing order. -6, 9, 306, 3092 Sort 88, 4.43, -534. -534, 4.43, 88 Sort -3, 10.3, -6, -0.1, 4, 172, 2. -6, -3, -0.1, 2, 4, 10.3, 172 Put -1, 24, 1, 0, 12, -56, 8 in decreasing order. 24, 12, 8, 1, 0, -1, -56 Sort -19.08, 2/5, -111/2, 7 in ascending order. -111/2, -19.08, 2/5, 7 Put 16254, -62, 1, 1/2 in descending order. 16254, 1, 1/2, -62 Sort 6, -8, 1, 4, -687 in decreasing order. 6, 4, 1, -8, -687 Sort 3/4, -214, -50, -0.35. -214, -50, -0.35, 3/4 Sort 86, -64, 10, -3, 1 in decreasing order. 86, 10, 1, -3, -64 Sort -7.53, 2/3, 0.53, -24, 1 in decreasing order. 1, 2/3, 0.53, -7.53, -24 Put 0.1, -4, 2.00514, -2, -3 in decreasing order. 2.00514, 0.1, -2, -3, -4 Put -5, 5, -4, 2/3, -1/4, 1440 in decreasing order. 1440, 5, 2/3, -1/4, -4, -5 Sort -4, 3, 1, 2, 5, 271, -181 in ascending order. -181, -4, 1, 2, 3, 5, 271 Sort -5, 0, -2, 50, -18/17, -4. -5, -4, -2, -18/17, 0, 50 Sort 11591, -4, -49 in descending order. 11591, -4, -49 Put 2, -67, 5, 194, -2, -5 in descending order. 194, 5, 2, -2, -5, -67 Sort 3, 1046, 151, 0. 0, 3, 151, 1046 Put 1, -63, -4, 15, 28 in ascending order. -63, -4, 1, 15, 28 Sort -1, 4, 570, -954, -4 in decreasing order. 570, 4, -1, -4, -954 Put -3, 329, 1, 5, -1419, 2 in descending order. 329, 5, 2, 1, -3, -1419 Sort -2, -136, -1784/151 in increasing order. -136, -1784/151, -2 Put -0.4, -3, -0.2, -1111/543 in descending order. -0.2, -0.4, -1111/543, -3 Sort -12, -4, -2, 422, -18, 5, 66 in decreasing order. 422, 66, 5, -2, -4, -12, -18 Put 2/19, -78, -5015, 0.03, -1/7 in decreasing order. 2/19, 0.03, -1/7, -78, -5015 Put 1/6208493, -0.2, -3 in decreasing order. 1/6208493, -0.2, -3 Sort 2, -1, -4271, 5. -4271, -1, 2, 5 Sort 5/1161, 1, 73. 5/1161, 1, 73 Sort -5, 0, 5, 4, -1859, 383, -1 in increasing order. -1859, -5, -1, 0, 4, 5, 383 Sort 13, -9, 1, 2, 950, -4 in ascending order. -9, -4, 1, 2, 13, 950 Sort -13, -3, 0.4, 21, -17 in descending order. 21, 0.4, -3, -13, -17 Sort -6, 5, 3, -3, 453116, -5 in decreasing order. 453116, 5, 3, -3, -5, -6 Sort -4, -118, 2, -23, -20, 0. -118, -23, -20, -4, 0, 2 Sort 5, 38134, -1 in descending order. 38134, 5, -1 Sort -8, 127, 51271 in decreasing order. 51271, 127, -8 Put 1/13, -6, -248471, 2/5 in descending order. 2/5, 1/13, -6, -248471 Put -35.7, -16/17, -2 in decreasing order. -16/17, -2, -35.7 Put -120697, -628, 2 in ascending order. -120697, -628, 2 Sort -2/11, 528, -661, -5. -661, -5, -2/11, 528 Sort -1/125, -4, -275260 in increasing order. -275260, -4, -1/125 Put -1, 24041/8, 0.037 in descending order. 24041/8, 0.037, -1 Put -0.27, 0.5, 284/5, 0.115, -5 in descending order. 284/5, 0.5, 0.115, -0.27, -5 Sort -1, 17, 7, 7870, 59. -1, 7, 17, 59, 7870 Sort 1649, -61, 89 in decreasing order. 1649, 89, -61 Sort 1, -386, -32, 5, -10. -386, -32, -10, 1, 5 Put -220, 4, -0.4, -26, -0.3, -71 in decreasing order. 4, -0.3, -0.4, -26, -71, -220 Put 7, 355, -106 in increasing order. -106, 7, 355 Put 339, 1, 87/4 in ascending order. 1, 87/4, 339 Sort -0.1, 1.1, -7, -2, 0.04, -1. -7, -2, -1, -0.1, 0.04, 1.1 Put -33, 3, 1, -28, -3, -5, 4 in decreasing order. 4, 3, 1, -3, -5, -28, -33 Sort 128/11, 0.5, -17/11, 7. -17/11, 0.5, 7, 128/11 Sort -3, 35373824, 20, 1 in ascending order.
{ "pile_set_name": "DM Mathematics" }
ny millilitres are there in 3/5 of a litre? 600 What is twenty-one fifths of a gram in milligrams? 4200 Convert 0.998043nm to meters. 0.000000000998043 What is 0.6349132 litres in millilitres? 634.9132 How many centimeters are there in 3/5 of a meter? 60 How many months are there in eight thirds of a century? 3200 How many millilitres are there in 0.9927775 litres? 992.7775 Convert 90408.76um to meters. 0.09040876 What is 1/10 of a kilometer in millimeters? 100000 What is 3186.038mg in nanograms? 3186038000 What is twenty-nine halves of a meter in millimeters? 14500 Convert 38487.12 grams to micrograms. 38487120000 How many grams are there in 881643.3 milligrams? 881.6433 How many millilitres are there in thirty-one fifths of a litre? 6200 How many minutes are there in 2/45 of a week? 448 What is 696951.5ug in nanograms? 696951500 What is one quarter of a century in years? 25 How many minutes are there in seventeen quarters of a week? 42840 How many milligrams are there in 0.7599676 micrograms? 0.0007599676 How many grams are there in fourty-three quarters of a kilogram? 10750 How many meters are there in 243695.4mm? 243.6954 How many weeks are there in 32158.476 days? 4594.068 What is 231.3298 tonnes in milligrams? 231329800000 How many decades are there in 66.21825 years? 6.621825 What is fourty-nine fifths of a gram in milligrams? 9800 How many milligrams are there in one tenth of a kilogram? 100000 How many micrometers are there in 62123.73 kilometers? 62123730000000 How many years are there in 17/2 of a millennium? 8500 What is one fifth of a kilogram in grams? 200 How many micrometers are there in 3/32 of a meter? 93750 How many grams are there in 25/4 of a kilogram? 6250 Convert 41.39831 millilitres to litres. 0.04139831 Convert 999.6717 months to centuries. 0.83305975 What is 8.561302 centuries in years? 856.1302 How many meters are there in eighteen fifths of a kilometer? 3600 How many centuries are there in 85.84285 millennia? 858.4285 How many nanoseconds are there in seven eighths of a microsecond? 875 Convert 81591.96 days to hours. 1958207.04 What is 55/2 of a centimeter in millimeters? 275 How many milligrams are there in fifty-five halves of a gram? 27500 What is 6/25 of a litre in millilitres? 240 How many millilitres are there in seventeen quarters of a litre? 4250 What is 15/4 of a litre in millilitres? 3750 How many seconds are there in 1/5 of a hour? 720 What is 1/10 of a kilometer in centimeters? 10000 What is 51/8 of a microgram in nanograms? 6375 How many months are there in 51/4 of a year? 153 How many decades are there in fifty-seven halves of a millennium? 2850 What is 32.962275s in days? 0.0003815078125 How many centimeters are there in five eighths of a kilometer? 62500 Convert 6.25844 weeks to minutes. 63085.0752 How many centimeters are there in 21/5 of a meter? 420 What is 2.852336 kilograms in nanograms? 2852336000000 What is 578.4391 milliseconds in microseconds? 578439.1 What is 51/4 of a microgram in nanograms? 12750 What is 2.475985 centuries in months? 2971.182 How many nanometers are there in 43.336 micrometers? 43336 What is 608362.8 centimeters in micrometers? 6083628000 Convert 5.813129 litres to millilitres. 5813.129 How many decades are there in 2759120.7 months? 22992.6725 Convert 930.9186 years to millennia. 0.9309186 What is 21/2 of a millisecond in microseconds? 10500 What is 84.626nm in millimeters? 0.000084626 What is 3/40 of a litre in millilitres? 75 How many microseconds are there in one quarter of a millisecond? 250 How many grams are there in 312.3426t? 312342600 What is nineteen quarters of a litre in millilitres? 4750 What is 6/5 of a century in decades? 12 Convert 467360.7 nanograms to micrograms. 467.3607 What is eleven quarters of a kilogram in grams? 2750 How many months are there in 17/2 of a century? 10200 Convert 4852.765 decades to centuries. 485.2765 What is 94.87751 centuries in millennia? 9.487751 Convert 0.6707291 hours to microseconds. 2414624760 What is 1/6 of a year in months? 2 How many minutes are there in one quarter of a week? 2520 How many millennia are there in 79.3524 years? 0.0793524 What is 0.0187362 minutes in milliseconds? 1124.172 How many litres are there in 4.931388ml? 0.004931388 How many micrograms are there in six fifths of a milligram? 1200 What is 3/8 of a litre in millilitres? 375 How many milligrams are there in fifteen quarters of a gram? 3750 What is 8049.08 milliseconds in seconds? 8.04908 How many minutes are there in 15541.97 weeks? 156663057.6 How many tonnes are there in 0.9562037 kilograms? 0.0009562037 What is 19/4 of a minute in seconds? 285 Convert 0.1594945nm to micrometers. 0.0001594945 What is 2687.82 hours in milliseconds? 9676152000 How many nanoseconds are there in 5077.572 minutes? 304654320000000 What is thirty-one fifths of a litre in millilitres? 6200 How many months are there in five eighths of a decade? 75 What is 9435.947 centuries in millennia? 943.5947 What is ten thirds of a decade in months? 400 How many micrometers are there in twenty-seven quarters of a centimeter? 67500 How many milligrams are there in 18/5 of a gram? 3600 What is three tenths of a litre in millilitres? 300 How many kilometers are there in 5459.79 millimeters? 0.00545979 Convert 798334.1 kilograms to micrograms. 798334100000000 Convert 21867.5 decades to months. 2624100 How many millilitres are there in 64056.5l? 64056500 Convert 0.6625827 years to millennia. 0.0006625827 Convert 418.403l to millilitres. 418403 What is 858.6364 weeks in seconds? 519303294.72 What is seven thirds of a day in minutes? 3360 Convert 0.8778228 millilitres to litres. 0.0008778228 What is seventeen quarters of a decade in months? 510 What is eleven halves of a century in years? 550 What is 12.37864 millennia in months? 148543.68 Convert 9775.807g to kilograms. 9.775807 What is 6904.911 decades in months? 828589.32 How many micrometers are there in 29/5 of a millimeter? 5800 How many minutes are there in 4/15 of a hour? 16 Convert 0.5976442 decades to centuries. 0.05976442 How many millimeters are there in 44/5 of a centimeter? 88 What is fifty-one quarters of a gram in milligrams? 12750 How many weeks are there in 676061.19 days? 96580.17 Convert 838877.5ng to milligrams. 0.8388775 What is fifty-seven fifths of a milligram in micrograms? 11400 How many months are there in fifty-three fifths of a decade? 1272 What is 6/5 of a millennium in centuries? 12 How many centimeters are there in eleven quarters of a meter? 275 Convert 48995.6 kilograms to grams. 48995600 What is 206971.9 centuries in years? 20697190 What is eleven tenths of a litre in millilitres? 1100 How many months are there in 3/10 of a decade? 36 Convert 7.637128 centimeters to meters. 0.07637128 What is fifty-two thirds of a day in hours? 416 What is 21/5 of a litre in millilitres? 4200 How many nanoseconds are there in 6.54895 weeks? 3960804960000000 What is 25/2 of a litre in millilitres? 12500 What is eleven quarters of a microgram in nanograms? 2750 How many nanometers are there in twenty-nine fifths of a micrometer? 5800 How many months are there in 0.3212097 years? 3.8545164 What is seven quarters of a century in years? 175 What is eleven eighths of a litre in millilitres? 1375 How many decades are there in 5415.159 millennia? 541515.9 Convert 85.82795 millimeters to centimeters. 8.582795 What is fourty-five halves of a millennium in centuries? 225 Convert 3977.618ng to grams. 0.000003977618 How many millilitres are there in one fifth of a litre? 200 What is 3/50 of a millennium in decades? 6 What is twenty-one fifths of a litre in millilitres? 4200 What is 7/8 of a kilometer in meters? 875 Convert 943.9148 milliseconds to microseconds. 943914.8 How many meters are there in 64.49278 micrometers? 0.00006449278 How many litres are there in 6.863094ml? 0.006863094 How many millilitres are there in twenty-nine halves of a litre? 14500 What is 21/5 of a century in decades? 42 What is 7/2 of a litre in millilitres? 3500 Convert 6906.826ml to litres. 6.906826 What is 783.5325 weeks in minutes? 7898007.6 What is 9266.832 millilitres in litres? 9.266832 How many hours are there in nine fourteenths of a week? 108 H
{ "pile_set_name": "DM Mathematics" }
ollect the terms in 24*f + 38*f - 22*f. 40*f Collect the terms in 10*t + 4 + 0 + 1 - 3. 10*t + 2 Collect the terms in 4*u - 8 + 0 - 15 - u. 3*u - 23 Collect the terms in 4*p - 22*p + 0*p. -18*p Collect the terms in 25*f**3 - 2*f**3 - 5*f**3 - 12*f**3. 6*f**3 Collect the terms in -540*h - 34*h**2 - 531*h + 1071*h. -34*h**2 Collect the terms in f**3 - 18*f**3 + 14*f**3. -3*f**3 Collect the terms in 39*s**3 + 130*s**3 + s**2 - 2*s**2. 169*s**3 - s**2 Collect the terms in 4*b - b - 6*b. -3*b Collect the terms in -3730 + 3730 - 113*j. -113*j Collect the terms in -18*m + 14*m + 30*m - 26*m + m**2. m**2 Collect the terms in c**3 + 189*c**2 - 382*c**2 + 193*c**2. c**3 Collect the terms in -79*x**3 - 252*x**3 - 74*x**3 - 94*x**3. -499*x**3 Collect the terms in 0*q**2 - 4*q**2 - 3*q**2. -7*q**2 Collect the terms in 0*q**2 + 5*q**3 + 0*q**2 + 13*q**3 - 12*q**3. 6*q**3 Collect the terms in -13*r - 11*r - 13*r - 15*r + 6*r. -46*r Collect the terms in -64*a**3 + 363*a**3 + 201*a**3. 500*a**3 Collect the terms in 10*m**3 + 2*m**3 - 14*m**3. -2*m**3 Collect the terms in -185 + 338 + 4*g**2 - 153. 4*g**2 Collect the terms in -98*w - 5*w**3 + 198*w - 100*w. -5*w**3 Collect the terms in 4*s**2 - 7*s**2 + 14*s**2 + 29*s**2. 40*s**2 Collect the terms in -4374*r**2 - 3*r**3 + 6*r**3 + 4374*r**2. 3*r**3 Collect the terms in -6*z**2 - 2*z**2 - 2*z**2. -10*z**2 Collect the terms in 115*r**2 - 35*r**2 + 33*r**2. 113*r**2 Collect the terms in 128*y**2 - 51*y**2 + 52*y**2. 129*y**2 Collect the terms in 11*b**2 - 45*b**2 + 15*b**2 + 10*b**2 + 15*b**2. 6*b**2 Collect the terms in 0*i - 2*i - 3*i - 4*i. -9*i Collect the terms in 0 - d**3 - 10 + 10. -d**3 Collect the terms in -10*z**2 - 8*z**2 + 15*z**2. -3*z**2 Collect the terms in 49*n**3 - 5*n + 4*n + n. 49*n**3 Collect the terms in -12*m**3 - 7*m**3 + 21*m**3. 2*m**3 Collect the terms in 104*l**2 + 97*l**2 - 192*l**2. 9*l**2 Collect the terms in k**3 - 20 - 2 + 13. k**3 - 9 Collect the terms in 11*v**3 - 20*v - 10*v**3 - 23*v + 43*v. v**3 Collect the terms in 0*v - 15*v**3 + 24*v**3 + 0*v. 9*v**3 Collect the terms in -3 + 56*f**3 + 67*f**3 + 1. 123*f**3 - 2 Collect the terms in -8*q**3 + 5*q**3 + 17*q**3. 14*q**3 Collect the terms in 13*i**2 - 26*i**2 - 86*i**2. -99*i**2 Collect the terms in 29 + 7 + 3*i - 3. 3*i + 33 Collect the terms in 2*i**2 + i**2 - 32*i**3 - 5*i**3. -37*i**3 + 3*i**2 Collect the terms in 14*x + 21*x + x. 36*x Collect the terms in 2*x - 13 + 8 + 5. 2*x Collect the terms in -39 + 0*i - 63*i**2 + 0*i + 64*i**2. i**2 - 39 Collect the terms in 2753 - 2753 - p. -p Collect the terms in -3 + 3 - 324*z**2 + 338*z**2. 14*z**2 Collect the terms in -12*t + 0*t + 8*t + 3*t. -t Collect the terms in 5*i - 4*i - 2*i. -i Collect the terms in 6 + h - 3*h + 2. -2*h + 8 Collect the terms in -f + 82935*f**2 - 82941*f**2 + f. -6*f**2 Collect the terms in 4*p**2 - 396*p + 487*p - 91*p. 4*p**2 Collect the terms in 5*x**2 + 4*x**2 - 9*x**2 + 10*x**2. 10*x**2 Collect the terms in -9*l + 2 + 29*l - 2. 20*l Collect the terms in -6*l + 8*l - 8*l - 7*l. -13*l Collect the terms in 2*z - 14*z - 13*z - 8*z. -33*z Collect the terms in -s + s + 0*s + 13*s**3. 13*s**3 Collect the terms in -21*q**2 - 23*q**2 + 55*q**2. 11*q**2 Collect the terms in 2*y**3 + y**3 + 4*y**3. 7*y**3 Collect the terms in -4 + 20 - 7 + v**2 - 9. v**2 Collect the terms in -77*z**2 + 167*z**2 - 88*z**2. 2*z**2 Collect the terms in 1 + 1131*t - 13*t**2 - 1131*t. -13*t**2 + 1 Collect the terms in -102*m**3 + 25*m**3 + 19*m**3 + 28*m**3 + 25*m**3. -5*m**3 Collect the terms in 3*t + 6*t + 5*t - 4*t. 10*t Collect the terms in 27*t**3 - 15*t**3 - 14*t**3. -2*t**3 Collect the terms in 4576 + l**2 - 4576. l**2 Collect the terms in 2*b**2 + 0*b**2 - b**2 - 3*b**2 + 94*b. -2*b**2 + 94*b Collect the terms in 1421302*u - 1421302*u - 2*u**3. -2*u**3 Collect the terms in 2 - 3*u**3 + 2*u**3 + 3 - 5. -u**3 Collect the terms in 8*u**2 + 11*u**2 + 10*u**2. 29*u**2 Collect the terms in -78983 + 78983 + 4*d**3. 4*d**3 Collect the terms in 495*o + 469*o - 967*o. -3*o Collect the terms in 1 - 2 - 362*m**3 + 0. -362*m**3 - 1 Collect the terms in -46*a**3 + 2 - 2 - 2*a**3. -48*a**3 Collect the terms in 18*i**3 + 7*i + 2*i**3 - 6*i. 20*i**3 + i Collect the terms in 2*c**2 + 112*c - 212*c + 109*c. 2*c**2 + 9*c Collect the terms in 6*o - 9*o + 23*o - 18*o. 2*o Collect the terms in 2*t**2 - 6*t**2 + 11*t**2 - 9*t**2 - 3*t**2. -5*t**2 Collect the terms in -2*x**2 - 7 + 48 + 4*x**2. 2*x**2 + 41 Collect the terms in 2*f**3 + 3*f**3 + 8*f**3 + f**3 - 16*f**3. -2*f**3 Collect the terms in -12*l**2 + 7*l**2 + 4*l**2 - l**2. -2*l**2 Collect the terms in -139*q + 84*q + 58*q. 3*q Collect the terms in -1027*r + 1027*r + 11553*r**3 - 11551*r**3. 2*r**3 Collect the terms in 0*r**3 - 3*r**2 - 13*r**3 + 4*r**2. -13*r**3 + r**2 Collect the terms in -150*n**3 - 51*n**3 + 3*n**3. -198*n**3 Collect the terms in -62*o + 2*o**2 + 62*o. 2*o**2 Collect the terms in 20*r - 3 - 1 + 4. 20*r Collect the terms in 47*v**2 + 846*v - 846*v. 47*v**2 Collect the terms in -60*f**2 + 81*f**2 + 82*f**2 + f. 103*f**2 + f Collect the terms in -74*b + 1 - 21*b - 1. -95*b Collect the terms in 51*r**3 - 27*r**3 - 25*r**3. -r**3 Collect the terms in -52*r + 30*r + 25*r. 3*r Collect the terms in 3 - 3 + 0 + 9*z. 9*z Collect the terms in -54*y - 3 + 16 - 28*y. -82*y + 13 Collect the terms in -5*s**2 - 3*s**2 + 5*s**2 - 94 + 94. -3*s**2 Collect the terms in 36*k - 15*k - 14*k - 8*k - 13*k. -14*k Collect the terms in -18 - u - 12 + 7. -u - 23 Collect the terms in -21*n**2 - 15*n**2 + 32*n**2 - n - 2*n. -4*n**2 - 3*n Collect the terms in -u + 6*u + 3 + 10*u. 15*u + 3 Collect the terms in 45*j**2 - 9*j**2 - 16*j**2 - 12*j**2. 8*j**2 Collect the terms in 500 + 506 - 1006 - 2*c**2. -2*c**2 Collect the terms in -5*y**2 - 29*y**2 - 19*y**2. -53*y**2 Collect the terms in -9*h - 16*h + 39*h - 11*h. 3*h Collect the terms in 29*v**2 + 48*v**3 - 24*v**3 - 25*v**3. -v**3 + 29*v**2 Collect the terms in -2*d**3 - 43*d + 20*d + 23*d. -2*d**3 Collect the terms in -18*l**2 - 33*l**2 - 5*l**2. -56*l**2 Collect the terms in -39 - 165*q**3 + 18 + 21. -165*q**3 Collect the terms in -3*b + 19*b + 30*b - 3*b. 43*b Collect the terms in -1728*d + 3458*d - 1731*d. -d Collect the terms in -1005419 + 1005419 - 6*i**2. -6*i**2 Collect the terms in 2*a**2 - 69 + 22 + 24 + 23. 2*a**2 Collect the terms in -38933*o**2 - 38932*o**2 + 77867*o**2. 2*o**2 Collect the terms in 6*s + 18*s - 38*s + 18*s. 4*s Collect the terms in -23*w**3 - 21*w**3 + 43*w**3. -w**3 Collect the terms in 8*v**2 + 0*v**3 - 8*v**2 + 9 + 2*v**3. 2*v**3 + 9 Collect the terms in -4*a + 3*a + a - 5*a. -5*a Collect the terms in -6*k**3 + 60*k + 5*k**3 - 86 + 86. -k**3 + 60*k Collect the terms in 26*m - 65*m - 37*m. -76*m Collect the terms in -656*n**3 + 486*n**3 + 926*n**3 + 916*n**3. 1672*n**3 Collect the terms in -a**3 - a**3 + 9*a**3. 7*a**3 Collect the terms in 5*c + 2*c + 6*c. 13*c Collect the terms in -23*k - 42*k + 1 + 1. -65*k + 2 Collect the terms in 9*p**2 - 21*p**2 - 4*p**3 + 12*p**2 + 7*p**3. 3*p**3 Collect the terms in 0*w + 5*w**3 + 22*w - 22*w + 3*w**3. 8*w**3 Collect the terms in 7*s**3 + 2*s + 10*s**3 - 8*s**3 - 10*s. 9*s**3 - 8*s Collect the terms in 88*w**2 + 0 + 0 - 87*w**2. w**2 Collect the terms in 3*j + 14 - 8 - 6. 3*j Collect the terms in -3*w + w + 0*w. -2*w Collect the terms in 20*i + 4*i - 7*i + 0*i. 17*i Collect the terms in 35*k**3 + 16*k**3 - 45*k**3. 6*k**3 Collect the terms in -62*t**3 + 33*t**3 + 20*t**3. -9*t**3 Collect the terms in 33*q - q + 0*q. 32*q Collect the terms in -9*v**3 + 252*v**2 - 128*v**2 - 124*v**2. -9*v**3 Collect the terms in -4*f**2 + 18*f**2 - 4*f**2 - 3*f**2 - 5*f**2. 2*f**2 Collect the terms in -63*c - 28*c - 42*c. -133*c Collect the terms in 7*y + 50*y + 46*y + 45*y. 148*y Collect the terms in -6*d + 9*d**2 - 4*d + 10*d. 9*d**2 Collect the terms in 3*o + 7*o + 7*o - 12*o. 5*o Collect the terms in -12*j**3 + 50*j**3 - 14*j**3. 24*j**3 Collect the terms in -18*b + 37*b + 17*b + 27*b. 63*b Collect the terms in r**3 - 9*r**3 + 7*r**3. -r**3 Collect the terms in 1 - 4 + 4 - 4*c. -4*c + 1 Collect the terms in -2*a + 2*a + 149*a**2 - 581*a**2. -432*a**2 Collect the terms in -356*g - 1473*g - 673*g. -2502*g Collect the terms in -1168*w**3 + 2
{ "pile_set_name": "DM Mathematics" }
is the nearest to -0.1? (a) -0.1 (b) -2/9781 (c) -2/15 a What is the nearest to 0 in -2/33, 0.5, 1/3? -2/33 What is the closest to 11 in -2/11, 0.11, -2/5? 0.11 Which is the nearest to 13? (a) -3 (b) 0.5 (c) 0.2 (d) 0.3 b What is the nearest to -0.01 in -5, 2, 0.4, 0.1? 0.1 Which is the closest to 2/3? (a) -97 (b) -3 (c) -2 c Which is the closest to 0? (a) 0.1 (b) 1 (c) -4/7 (d) 6 a Which is the closest to -2? (a) -0.06 (b) -5 (c) 0 (d) 12/5 a What is the nearest to 2 in -13, -4, -0.1, 4? 4 Which is the nearest to 0.15? (a) -37 (b) -0.4 (c) 2/11 c What is the closest to 25 in -0.014, -1, -4? -0.014 Which is the closest to -25? (a) 2/5 (b) -0.2 (c) -2/3 (d) -2/17 c Which is the closest to -1? (a) 1.7 (b) 3 (c) 2/9 (d) -2 d What is the nearest to -2/3 in -2/5, 1/3, -5, 0? -2/5 Which is the nearest to 0.3? (a) 1/11 (b) -3 (c) -2/15 (d) -1.6 a What is the closest to -1 in -3, 1/4, -15? 1/4 What is the nearest to 0.3 in 1, -1/2, -5? 1 Which is the nearest to 1? (a) -2/19 (b) 0.1 (c) -1/3 (d) 3/2 d What is the nearest to 0.1 in 0.4, 4/9, -2, 5? 0.4 What is the closest to 0 in 0.4, 0.05, -9, 3? 0.05 What is the closest to -1.5 in 0, 2/11, -0.01, 1/2? -0.01 What is the closest to 1/3 in -0.1, 0.2, 3/7, 0.04? 3/7 Which is the nearest to 2/5? (a) 2/7 (b) -2/15 (c) 222 a What is the closest to 4/7 in -9, 2/3, -0.3? 2/3 What is the closest to -2 in -3/4, -0.2, 0.108? -3/4 What is the closest to 8 in -5, -0.1, -3? -0.1 What is the nearest to 0 in 0.5, -4, -1/5? -1/5 What is the closest to 1 in -1, 13, 23, -2/9? -2/9 What is the nearest to 2 in 7, -0.1, 1/4? 1/4 Which is the nearest to -1? (a) 1 (b) -20 (c) -5 (d) 0.4 d What is the closest to -1 in -0.1, 2/13, -2, 3? -0.1 Which is the closest to -2? (a) -9 (b) -6 (c) -1 (d) 1/5 c Which is the nearest to -0.2? (a) 0 (b) -274 (c) -2/11 c Which is the closest to 6? (a) 1.3 (b) 1/5 (c) 2 (d) -3/13 c What is the closest to 2 in -8/41, 1, 1/4? 1 What is the closest to 0.2 in 0.1, -0.5, -5? 0.1 Which is the closest to 2? (a) -3 (b) -66 (c) 0.3 (d) 5 c What is the nearest to 57 in 2/7, -5, 1? 1 Which is the closest to 2? (a) 5.5 (b) 0.4 (c) 2/13 (d) -3 b Which is the nearest to -634/5? (a) 3 (b) -2/9 (c) -3 (d) -1 c Which is the nearest to -1? (a) -1 (b) -0.5 (c) -2/7 (d) -0.08 a What is the nearest to -1 in 0.46, 2/47, 4? 2/47 Which is the closest to -0.05? (a) -1/34 (b) -2 (c) 4 a Which is the closest to 0? (a) -1/2 (b) 2 (c) -23 (d) 0 d Which is the nearest to 0? (a) 20/89 (b) 5/2 (c) 1/6 c Which is the closest to -234? (a) 4 (b) -5 (c) -3 b Which is the nearest to 2? (a) -3/7 (b) 0 (c) 0.2 (d) 21 c Which is the nearest to -8? (a) 4 (b) 7 (c) 1 c Which is the nearest to 1/2? (a) 0.24 (b) -4 (c) 1 (d) -5 a What is the nearest to -1 in 7, 3, -3/5, 0.4? -3/5 Which is the nearest to 2/7? (a) -1 (b) -0.5 (c) 2/19 (d) 1/4 d What is the nearest to -1.8 in -2/5, -1/2, 2? -1/2 What is the nearest to -2 in 0.1, -1/2, -13, 2? -1/2 What is the nearest to 0.1 in -0.2, -1, -1/3, -1/9? -1/9 What is the nearest to 0 in -3/14, 2/5, -5, -1? -3/14 What is the nearest to -0.1 in 6.06, 3, -4? 3 Which is the closest to 0? (a) 0.5 (b) 1.5 (c) -3 (d) 0 d What is the nearest to -1/2 in 0.5, 29, 1, 2? 0.5 What is the closest to 2 in 17, 18, 1? 1 What is the nearest to 3/26 in 2/17, -2/13, 5? 2/17 What is the closest to 0.12 in -0.3, -2, 0.1? 0.1 Which is the closest to -14? (a) -2 (b) 2 (c) 3 (d) 5 a What is the nearest to 2/3 in 0.09, 8, 5? 0.09 Which is the closest to -0.2? (a) -2/7 (b) 4 (c) 1158 a Which is the nearest to -0.04? (a) 5 (b) 3 (c) 8 b What is the nearest to 2 in 3, -1/4, 2, 0.5? 2 Which is the nearest to -1/13? (a) -4 (b) 55 (c) -2/3 c Which is the nearest to -0.1? (a) 22 (b) 19 (c) 5 (d) 3/2 d What is the nearest to 3/26 in 0.4, -1, -0.3, 0.3? 0.3 Which is the closest to 2? (a) 0.2 (b) 1 (c) 0 (d) -5 b Which is the closest to 14? (a) 4 (b) -0.4 (c) -6 a What is the closest to -7 in 0.2, 6, -3? -3 What is the nearest to -1 in -0.2, -0.5, 2/9, -0.9? -0.9 Which is the nearest to 0.1? (a) -1 (b) -1/10 (c) -2/21 c Which is the nearest to 0? (a) -4 (b) 2 (c) -9/5 c What is the nearest to 7/6 in -0.14, -0.2, -1/11? -1/11 Which is the closest to 2/7? (a) 0.13 (b) -0.1 (c) 1/2 a Which is the nearest to 150? (a) -0.03 (b) 0.1 (c) 0 b Which is the closest to -69? (a) -2 (b) 3 (c) -1/5 a What is the nearest to 1/10 in 0.5, -2/9, -0.1? -0.1 What is the closest to 0.083 in -5, -6/5, -7? -6/5 Which is the closest to -0.1? (a) 4 (b) -2/21 (c) -2/7 b What is the closest to -1 in -1, 2/3, -2/13, 0.06? -1 What is the closest to 1 in -2/13, -0.0644, -1, 0.3? 0.3 What is the nearest to 0.5 in -2/15, -1, -4, 22? -2/15 Which is the closest to 0.3? (a) -2 (b) 0.03 (c) -4/5 (d) 0 b What is the closest to -3 in 0, -8/31, -4/3, 5? -4/3 Which is the nearest to -1? (a) -4.9 (b) 2 (c) 5 b Which is the closest to 0.4? (a) -3 (b) -0.2 (c) 0 (d) 0.2 d What is the nearest to 2 in -1/4, 4, 2, 1? 2 Which is the closest to -4? (a) -5 (b) -2 (c) 2/191 a Which is the closest to 0.1? (a) -5 (b) 2/15 (c) 5 (d) 26 b Which is the closest to -0.2? (a) 9 (b) -5 (c) 66 (d) 5 b Which is the nearest to -0.1? (a) -4/37 (b) -1/4 (c) 4 a Which is the nearest to -8? (a) 3/7 (b) 1 (c) 0.3 (d) 1/3 c Which is the closest to 1? (a) 33 (b) 0.2 (c) -1/3 (d) -2/5 b Which is the closest to -18? (a) -2 (b) 7/3 (c) 2/9 a What is the closest to 0.168 in -0.3, 1, 3? -0.3 Which is the nearest to -0.02? (a) -0.5 (b) -3 (c) 26 a Which is the nearest to -6? (a) -4 (b) 4 (c) 0.1 (d) -43/2 a Which is the closest to 2/3? (a) 3 (b) -2/5 (c) 0.15 (d) 7 c What is the nearest to -10 in 5, -5, 0.1, 3? -5 Which is the closest to -2/13? (a) -0.3 (b) -22 (c) -1 a Which is the closest to 0? (a) 2/13 (b) -0.0697 (c) -3/2 b What is the closest to 0.1 in 4, 0.2, -0.19, -0.3? 0.2 What is the closest to 1 in -1/4, 1.59, -4, 0.1? 1.59 Which is the closest to 2/7? (a) 1 (b) 4 (c) 0.07 (d) 0.5 d What is the nearest to 2/9 in 2, -0.2, -0.6? -0.2 What is the closest to 3 in -3, 4.69, 3, 1/2? 3 What is the closest to -2/11 in 26/9, 0, -3, 0.1? 0 Which is the closest to 0.1? (a) 0 (b) 30 (c) -2 a What is the nearest to -1/3 in 5, 0.2, 1/7, 9? 1/7 Which is the nearest to -1? (a) -0.1 (b) -4 (c) 5/2 (d) -147/5 a Which is the nearest to 0.1? (a) -0.3 (b) 0.05 (c) -0.05 b What is the nearest to -6 in 3/7, -7/3, -6? -6 What is the nearest to 1 in 2, 15, 0.2? 0.2 What is the closest to -1 in -3/2, 0.1, 0, 0.01? -3/2 Which is the nearest to 2? (a) 5 (b) -11/14 (c) -2/15 c Which is the nearest to -0.2? (a) -0.1 (b) -1/6 (c) 14 b Which is the nearest to 4? (a) -5 (b) 0 (c) -0.7 (d) -12 b Which is the closest to 0.1? (a) 2/9 (b) 9 (c) 5 a Which is the nearest to -2? (a) -0.5 (b) -2/5 (c) -0.02 (d) -5/3 d Which is the nearest to 4? (a) 1/4 (b) 1 (c) 2 (d) -3 c What is the nearest to -1 in -1, 3, 27/2? -1 Which is the nearest to -1? (a) 0.1 (b) 4 (c) -60.4 a What is the closest to -1 in -2, 1/10, 0.08, -0.5? -0.5 Which is the nearest to -141? (a) -3 (b) 4/3 (c) -0.7 (d) -0.2 a Which is the nearest to 2? (a) -0.4 (b) 1 (c) 4 (d) -3/11 b What is the closest to -1/4 in -5, 0, 15? 0 What is the closest to -2/73 in -10, 0.5, 5, 2/3? 0.5 What is the closest to -2 in 0.1, -2, -1/4? -2 Which is the closest to -1? (a) 0.5 (b) -1.9 (c) -0.5 c What is the nearest to 0 in 0.5, 5, 0.0323, -1? 0.0323 Which is the nearest to -0.1? (a) 5 (b) 0.1 (c) -2/13 (d) 0.4 c What is the closest to 1/4 in -2, 72, 5? -2 Which is the nearest to 2? (a) -1/4 (b) -1/2 (c) 0.2 (d) 0.06 c Which is the closest to 8? (a) 0 (b) 1/2 (c) 3 (d) -3/5 c What is the nearest to 1/2 in -4, 47, 0, -2? 0 What is the nearest to -0.15 in -0.4, -0.5, 3? -0.4 What is the nearest to 1.2 in 0.5, 14, -3? 0.5 What is the nearest to -0.08 in -1, 0.4, -1/5? -1/5 Which is the closest to -2.2? (a) -0.5 (b) -4/3 (c) 4 (d) 3 b What is the nearest to 2/5 in -1, 0, -0.5, 1/4? 1/4 What is the closest to 7/6 in -5/6, -1/4, -5? -1/4 What is the nearest to 0.1 in 0.1, 0.25, -23, -0.1? 0.1 What is the closest to 4/7 in -1, 7
{ "pile_set_name": "DM Mathematics" }
97609 + 1781300 = 0 for i. 47 Solve -6764*s + 164 = -3388*s - 3380*s for s. -41 Solve 57*c + 2370 = -14*c - 8*c for c. -30 Solve 27*y - 410 + 95 = -31*y - 2345 for y. -35 Solve 33419*c - 7127*c + 121734 + 62558 = -104920 for c. -11 Solve -9186 = 264*j - 63*j - 4043 + 6314 for j. -57 Solve 748*r + 116002 = 1032*r + 1587*r for r. 62 Solve 144*m + 574*m = 25773 + 13717 for m. 55 Solve 10426*p + 6295*p = 2127614 - 422072 for p. 102 Solve -5238*w - 21624 = 83136 for w. -20 Solve -96*h = -31*h - 79*h - 68*h + 2460 for h. 30 Solve 32691*v + 2938 = 32578*v for v. -26 Solve 0 = 3644*r - 9623*r for r. 0 Solve -507*b + 294*b = 762*b + 117*b - 57876 for b. 53 Solve 19922 = -898*x - 29337 - 30663 for x. -89 Solve 1003*o - 248*o + 622*o = -997*o - 166180 for o. -70 Solve 163*a + 1234 = -1211 for a. -15 Solve 1246 + 13125 = -63*w - 425*w - 8565 for w. -47 Solve 2850*z - 6811 = 39983 + 226806 for z. 96 Solve 7410*a = 5611*a - 26985 for a. -15 Solve 3814*x - 1458*x + 9723 = -101009 for x. -47 Solve -542*n - 207 + 5231 = -116*n - 88 for n. 12 Solve -4149*y = -5244*y + 1095 for y. 1 Solve 0 = -83619*c + 83123*c - 10416 for c. -21 Solve -127657*x + 128860*x = 7726 - 95545 for x. -73 Solve -309*c + 83101 = -1466*c + 19466 for c. -55 Solve -3731*h + 108*h + 1734*h + 227350 = 2658*h for h. 50 Solve 11770 - 912 = -651*n - 17135 for n. -43 Solve 772 = 35*f + 161*f - 1580 for f. 12 Solve 0 = -2989*o - 10044 + 2682 + 49208 for o. 14 Solve 245*d = -2963987 + 2951492 for d. -51 Solve 1297*y - 405 = -1027*y + 1907*y + 5850 for y. 15 Solve -22516 = -27*q - 23299 for q. -29 Solve 115*v - 399 = 7684 + 1807 for v. 86 Solve 1880*u + 83 = 1876*u + 7 - 8 for u. -21 Solve 6730*s - 6110*s = 34100 for s. 55 Solve 6483*f - 6542*f = -1829 for f. 31 Solve 6*h + 119*h + 99*h + 2385 = 65*h for h. -15 Solve 90*d - 18846 = -126*d + 565*d for d. -54 Solve 9380*h - 27922*h = -834390 for h. 45 Solve -102*u = -375665 + 379847 for u. -41 Solve -10227*n + 6741*n - 411348 = 0 for n. -118 Solve 874*v + 3587 = -22633 for v. -30 Solve 0 = -1189*b + 149*b + 17373 + 8627 for b. 25 Solve -966 = 688*r - 331*r - 343*r for r. -69 Solve 0 = -198*r + 43*r + 6045 for r. 39 Solve 0 = 111*l - 14191 + 17632 for l. -31 Solve 433*i + 671 = 6*i + 511 + 4003 for i. 9 Solve -48443 + 93695 = -4070*n - 89058 for n. -33 Solve -27397 - 553 = -559*f for f. 50 Solve 0 = -352*t - 564*t + 31547 - 1319 for t. 33 Solve -74*z + 928980 - 926020 = 0 for z. 40 Solve -7499*k - 3760*k + 382806 = 0 for k. 34 Solve 147*y = 70*y + 38*y + 1911 for y. 49 Solve 44*d + 1068 = -649 + 617 for d. -25 Solve -2303 = 119*t - 1085 + 2471 for t. -31 Solve 148*c - 451567 = -456451 for c. -33 Solve 63*c + 553202 = 553454 for c. 4 Solve 178*n + 442*n - 219*n = 16842 for n. 42 Solve 217*o = -314*o - 28122 - 13271 + 2630 for o. -73 Solve 503 - 1337 = 37*q + 102*q for q. -6 Solve -13526*m + 13468*m = -3016 for m. 52 Solve -552*p - 49500 = 346*p + 24136 for p. -82 Solve 363 = 929435*k - 929424*k for k. 33 Solve -5182039 = 211*a - 5170856 for a. -53 Solve 69145 = 228*f + 756*f - 12527 for f. 83 Solve 248*k + 527*k - 41106 = -745*k + 311*k for k. 34 Solve -516 - 61 - 196 = 178*d - 61 for d. -4 Solve -961 = -400*u + 12239 for u. 33 Solve -93*d - 186454 = -192313 for d. 63 Solve 61*k + 12679 = 183*k - 531*k for k. -31 Solve 535 + 11675 = 14*v - 5*v + 213*v for v. 55 Solve -4219*w = -6403 + 57031 for w. -12 Solve 973*l + 3277 + 420 = 333 - 2474 for l. -6 Solve 3*c - 296415 + 296321 = 3*c - c for c. 94 Solve 785*y + 16512 - 1115 = -13918 + 4195 for y. -32 Solve -2132*d + 97*d + 1981 - 30471 = 0 for d. -14 Solve 0 = -734*o + 887*o - 3254 + 18095 for o. -97 Solve -31*i - 572 = -287 + 1079 for i. -44 Solve -742*f - 46566 + 5563 = 13905 for f. -74 Solve -1296*p = -10155 + 20523 for p. -8 Solve -1892 = 77*s - 3751 + 2013 for s. -2 Solve -8*f - 176*f - 84*f - 10312 = 11664 for f. -82 Solve 6497*c - 10304 + 78860 + 67881 = 0 for c. -21 Solve -199*y - 1608 = 1839 + 4513 for y. -40 Solve -15976*n + 5566*n + 905670 = 0 for n. 87 Solve -30*h + 2299270 - 2300020 = 0 for h. -25 Solve 43*a + 72*a + 3285 = 37*a + 5*a for a. -45 Solve -147*r + 26092332 = 26103945 for r. -79 Solve 16092 = 2796*f - 21653 - 1399 for f. 14 Solve -436*f - 750 = 115*f + 352 for f. -2 Solve -6382 = 235*y + 3867 - 379 for y. -42 Solve 26*x + 111 = -25*x + 139 + 635 for x. 13 Solve 14318*h = -15*h - 1637224 + 576582 for h. -74 Solve 180*v - 511 = -1475 + 244 for v. -4 Solve -334*r + 709*r = 2339 + 10786 for r. 35 Solve -859*a + 622*a + 42488 = 1123*a - 25512 for a. 50 Solve 103*u + 461 + 84 = -129 - 47 for u. -7 Solve 2236*z = 988*z - 93600 for z. -75 Solve -997*r - 9676*r + 626180 - 300149 = -549155 for r. 82 Solve -1488 = -41*p - 2193 + 1976 for p. 31 Solve 64*a + 6*a - 656 = -145 + 2919 for a. 49 Solve 24432*a - 24224*a = 19760 for a. 95 Solve 7*q + 7240 = 466*q - 3317 for q. 23 Solve -7097*p = -7783*p + 34986 for p. 51 Solve 0 = 3131*d - 6272*d + 3247*d + 19 + 1677 for d. -16 Solve -3225 = -383*a + 598*a for a. -15 Solve -100158*r = -101301*r - 133731 for r. -117 Solve 3*w + 3685 - 3713 = w for w. 14 Solve -19*k = 65 + 1 + 29 for k. -5 Solve -205688 = 170*x - 208748 for x. 18 Solve 0 = -4542*a + 3632*a - 30030 for a. -33 Solve -580*d = -619*d + 1638 for d. 42 Solve 34*w + 1173 = -27*w + 119*w + 11*w for w. 17 Solve 0 = -2256*r - 2033*r - 16591 - 34877 for r. -12 Solve -184*u - 734*u = -77*u + 31117 for u. -37 Solve -27952 = -3128*l + 90912 for l. 38 Solve -26625 - 24842 = 433*g - 24*g + 72*g for g. -107 Solve 0 = 31*y - 4111 + 2747 for y. 44 Solve 4124 = 399*d + 313*d - 21146 - 4634 for d. 42 Solve 246*n + 54275 + 27521 = -1613*n for n. -44 Solve 0 = 6243*c - 7522 - 192254 for c. 32 Solve 18719 - 7838 = -1077*h + 1186 - 22615 for h. -30 Solve 187*j = 57*j + 9748 - 14168 for j. -34 Solve -79558*d = -79426*d - 2244 for d. 17 Solve -4798 = 9627*o - 601672 for o. 62 Solve 296*y + 170*y = 181*y - 480*y - 29835 for y. -39 Solve 52*h + 93 = 81*h - 122*h for h. -1 Solve -1465329 + 1461637 = -142*b for b. 26 Solve -129*h - 238*h = 173*h - 12960 for h. 24 Solve -6863*v = -3516*v - 3428*v - 4212 for v. -52 Solve 952*v + 6709 = -21851 for v. -30 Solve -881 + 1259 = -159*y - 1212 for y. -10 Solve -2296*y + 18137 + 12642 - 4786 = -72735 for y. 43 Solve 497*x + 10182*x + 353027 + 218469 - 144336 = 0 for x. -40 Solve 419*p + 22605 = 202*p - 468*p for p. -33 Solve -105*k - 81*k = 3*k + 10962 for k. -58 Solve 571 = 50*r + 9*r + 1220 for r. -11 Solve -4465 + 12216 = 638*v - 15217 for v. 36 Solve 4911*z = 4878*z - 99 for z. -3 Solve 4481*d = 4858*d + 12818 for d. -34 Solve -1287*s - 887*s - 850*s = -2111*s - 90387 for s. 99 Solve -1085 + 149 = -22*z - 50*z for z. 13 Solve 17*f - 75*f - 131*f + 6506 = 16145 for f. -51 Solve -568*d = 1451*d - 36342 for d. 18 Solve -70952 = -3882*m + 819*m - 140357 - 114375 for m. -60 Solve 5313*k = 7064*k - 75293 for k. 43 Solve 7381*s = 7402*s - 945 for s. 45 Solve 385*u + 6242 + 16383 = -520*u for u. -25 Solve 94*h = 33*h - 972 + 179 for h. -13 Solve -71*h - 144*h - 111*h = 7*h + 6327 for h. -19 Solve 67*c - 50 + 141 + 391 = 13 for c. -7 Solve -4*k - 1297 = 199*k + 156*k + 1934 for k. -9 Solve -383*o - 7857 = -1346 for o. -17 Solve -961 + 233 = -364*z for z. 2 Solve 0 = -3*y - 126*y + 195 + 5352 for y. 43 Solve 2587*v = 2563*v + 408 for v. 17 Solve 0 = -282*r + 3622 - 14532 - 4882 for r. -56 Solve 3435*o + 498*o = 3933 for o. 1 Solve -57*u + 9*u - 2227 - 1307 = 45*u for u. -38 Solve 45*p - 10743 = -288*p + 16207 - 2974 for p. 72 Solve 1635*a + 725648 = -6292*a + 1448*a for a. -112 Solve 157 = 16*m + 49 - 625 - 371 for m. 69 Solve -768*s - 1537 - 3547 = 3364 for s. -11 Solve 276 = -235*n + 86*n + 5789 for n. 37 Solve -132733642 = -198*h - 132709882 for h. 120 Solve 746*z = -729*z + 1526*z - 102 for z. 2 Solve -1538*g - 65751 = 669*g - 1500*g for g. -93 Solve 54012 = 1566*w - 47778 for w. 65 Solve -851*u + 11203 - 991 = 0 for u. 12 Solve -56*u + 33717 - 25765 = 0 for u. 142 Solve -1558*o - 403 = -36056 - 21993 for o. 37 Solve -26863*q - 250 = -26873*q for q. 25 Solve 1345*b = 1152*b + 579 for b. 3 Solve 196*i + 122*i + 17716 + 23549 = -1647*i for i. -21 Solve -1223 - 418 = 152*d - 82 + 1177 for d. -18 Solve -z + 22 - 72 = -3*z + 16 for z. 33 Solve 188*i + 6123 = -106*i - 6225 for
{ "pile_set_name": "DM Mathematics" }
ich is bigger: -1551133/122 or -12715? -1551133/122 Is 138 greater than -0.0739906? True Are 11 and 20110/2039 nonequal? True Which is bigger: -307259 or -307073? -307073 Which is greater: -39758303 or 3? 3 Is -1035600.6 greater than 3/2? False Which is greater: 10548873 or 0.42? 10548873 Does -1699 = 37/9? False Which is greater: 2055849 or 2056140? 2056140 Which is bigger: 36827 or 2614702/71? 36827 Which is smaller: -277411 or -1.76? -277411 Are -482733 and -482720 nonequal? True Are 542351754 and 542351756 equal? False Is 68.374 < -0.1? False Are -7.2 and -2.52604 non-equal? True Which is smaller: 1 or 3/122468582? 3/122468582 Is 16794 less than or equal to 16611? False Are -17 and -26.957116 unequal? True Which is greater: 7707 or 1.23846? 7707 Is 5/5211293 at least -1? True Is -138 less than or equal to 6131? True Is 5/89 != -7414? True Which is bigger: -1 or -15/2023582? -15/2023582 Is 80776056 less than 80776054? False Is -17/334786 > -1? True Is -1424996 greater than -1425021? True Are -2058129 and -2058132 unequal? True Is 4/800135 <= 0? False Is -107 at most as big as -26390/251? True Is -40 less than -442810? False Which is smaller: 1/57510628 or -1? -1 Which is smaller: 7/990 or 97588? 7/990 Are 1 and -1/1598202 equal? False Which is smaller: -435 or -372? -435 Which is greater: 3706261 or 3706266? 3706266 Is -3667678 not equal to -3667641? True Which is bigger: 5815 or -6362? 5815 Is -1319103976 less than or equal to -1319103976? True Which is smaller: -19760749 or -1? -19760749 Which is smaller: -1318 or -489452/371? -489452/371 Which is smaller: -1/88093386 or 1? -1/88093386 Is -4 less than or equal to -1777594.23? False Which is smaller: -1 or 10578/63053? -1 Is 3147 at most 5196? True Are 320473 and 113 nonequal? True Which is bigger: -1486244 or -1486239? -1486239 Is -1/21 greater than or equal to -5/79464? False Is 10437082 at most 10437082? True Is 1 at least as big as 4110487? False Do 178405/118 and 1513 have the same value? False Are 1808/19 and 866 equal? False Which is smaller: 48659 or 48534? 48534 Are -5851273 and -17553817/3 nonequal? True Which is bigger: 1 or 1083/170662? 1 Which is bigger: 1 or -97713943? 1 Is -4216 equal to -7536? False Do -2/2028988523 and 0 have the same value? False Is -55 less than or equal to 3173319? True Is 22029237 <= 22029234? False Which is bigger: 13 or 131109/9047? 131109/9047 Which is greater: 0 or -1628/24237? 0 Is 0 > -3/28568684? True Which is greater: -7574756/45 or -168328? -7574756/45 Is 48051138 at least 3? True Do -9873097 and -9873095 have the same value? False Which is greater: -1 or 8221719? 8221719 Is 7097825 greater than or equal to -2? True Are 303705859 and 1518529298/5 non-equal? True Which is smaller: -51 or 1051788? -51 Which is greater: 4190679 or -44? 4190679 Is -4/7 != -1060233? True Is 0 at most as big as 44/3756447? True Is 15/4955032 at least as big as -1? True Which is bigger: 361600 or 8? 361600 Which is bigger: -658534 or -659053? -658534 Is -360/406871 > -1? True Which is bigger: -10365501/5 or 0.4? 0.4 Is 14331001 smaller than 14331001? False Which is bigger: -1/7 or 29034? 29034 Which is bigger: 0 or 370/214429? 370/214429 Do 0.3219 and -2170 have different values? True Which is smaller: -1141669 or -1141715? -1141715 Which is smaller: 19632 or 5743? 5743 Which is greater: 54373/125 or 1? 54373/125 Is -14158/239 <= 2? True Is 448033 < 132? False Do 2/31 and -1021368 have the same value? False Are 937838357 and 937838355 equal? False Is -1 not equal to -4405/6169? True Are -25877/2760 and -9 nonequal? True Is 0.34462 at least 191? False Which is bigger: -19491 or -376? -376 Is 16806993 <= 16806991? False Are 24/19 and 736925 equal? False Are 37504 and 38005 equal? False Which is smaller: -699315/97 or -7210? -7210 Which is bigger: 1 or -264/39947? 1 Is -18205/8766 != -1? True Is -2.96 equal to 1057291? False Which is smaller: 1314660318 or 1314660319? 1314660318 Which is smaller: -1669 or 640? -1669 Is -57802506 at most as big as -57802496? True Which is smaller: 23169843 or 23169837? 23169837 Is 1 greater than -2/4873019? True Which is greater: -1861866 or 0.265? 0.265 Is -17448623 greater than -17448621? False Is 104431 < 101876? False Is 15759956 greater than 15759958? False Are -22487/18400 and 0 nonequal? True Which is bigger: -636584 or -636599? -636584 Which is bigger: 278 or 9/145? 278 Are 1327/4560 and -1 unequal? True Which is greater: -875.5 or -0.346? -0.346 Is 515 greater than 465876/905? True Is -4982497 smaller than -4982493? True Is -16461177 at most as big as -16461177? True Are 1 and -6752/384347 nonequal? True Is 221 < 9662? True Does 1/14209410 = 1? False Do -6111 and -6450 have the same value? False Is -3/6406835 at most -1? False Which is bigger: 188913 or 188922? 188922 Which is smaller: 446 or 650441/1460? 650441/1460 Which is smaller: -3 or -4/8111661? -3 Is 4 greater than 65897/13698? False Which is smaller: -10/3 or -1589686? -1589686 Which is greater: 1 or -6/272039477? 1 Is -27608/23 smaller than -0.14? True Is 18399940 < 18399941? True Is -2688 at least as big as -588898/219? True Do -16390278 and -2/5 have the same value? False Is -2292844 greater than -2292797? False Is 620100249 less than 620100249? False Which is smaller: 1 or -1/26511298? -1/26511298 Which is bigger: -1866527 or -1866528? -1866527 Is 20970193 != 20970193? False Is 147/1480 greater than or equal to 67? False Is -276679/108 <= 0? True Is -0.256204 greater than -3/410? False Do -1 and -10/3332447 have the same value? False Which is greater: 76 or 643669? 643669 Is -7662063/34 smaller than -225356? False Which is smaller: 214588249 or 214588250? 214588249 Which is greater: 961 or 85435/89? 961 Which is smaller: 1 or -680039? -680039 Which is bigger: 1 or -48/5078543? 1 Which is greater: -325296753 or -325296752? -325296752 Which is bigger: 7282948 or -1? 7282948 Do 1024/599 and -20 have the same value? False Which is greater: -5196211 or -5196203? -5196203 Which is smaller: -1048515 or -1048510? -1048515 Is 40270 > 488? True Do 99363 and 99743 have the same value? False Is 37288 smaller than 32589? False Is -4572504 >= -4572496? False Which is smaller: 362007692 or 362007693? 362007692 Is 1 equal to 8/23669345? False Which is greater: 2/5 or -12123484.8? 2/5 Is -0.90058 greater than or equal to 101/3? False Is -17164950 at least as big as -1/4? False Is 646127 != 646129? True Are 0.58612 and 0.0232 nonequal? True Which is bigger: -56148024 or 0? 0 Do 208060 and 208915 have the same value? False Is 139252710 > 139252710? False Is -84370/3171 bigger than -28? True Which is greater: 5 or -2/116631? 5 Which is bigger: 1 or -3280/141207? 1 Is -2321 greater than or equal to 7497? False Is -125891 smaller than -125891? False Is 812447 at most as big as 14? False Which is smaller: 10747092 or 10747091? 10747091 Which is smaller: 12/2033 or 3/415? 12/2033 Does -119473184 = -119473183? False Which is bigger: 1 or -16/658425? 1 Which is smaller: -196888110 or -196888109? -196888110 Which is smaller: -1 or -2/528994015? -1 Which is bigger: 25728481 or 25728476? 25728481 Which is bigger: 1 or -3362/1620943? 1 Which is smaller: -3 or -59587/30? -59587/30 Do 2166781 and 2166780 have the same value? False Is -51673/2020 > -26? True Is 35220637 at most 35220637? True Is 2123 bigger than 308614? False Which is smaller: -44008 or -43926? -44008 Is -12 at most as big as -8033/678? True Is 39625613 > -0.04? True Which is smaller: -2/127 or -101/2902? -101/2902 Does -27063895 = -27063900? False Does 76742 = 76721? False Is 11398332 > 56991658/5? True Which is greater: 11445067 or -1? 11445067 Is -1 at most as big as -5076/263371? True Do -40694 and -40712 have the same value? False Is 0 <= 307/19384? True Are -8/100749 and 102 equal? False Which is smaller: -2/4981285 or 1? -2/4981285 Which is greater: 2453 or 2476? 2476 Which is greater: 547679/571 or 958? 547679/571 Which is greater: 1/2 or -5536382? 1/2 Which is smaller: 1/15515447 or 1? 1/15515447 Which is greater: 1411/304 or 103? 103 Which is bigger: 2/375 or -0.052397? 2/375 Which is bigger: -12221654 or -12221655? -12221654 Does 1 = 2/4576525? False Which is smaller: 432/11 or -31235? -31235 Is 6380460 != -18? True
{ "pile_set_name": "DM Mathematics" }
27. Let v = -133 + i. What is the tens digit of v? 4 Let a be 1*(8/4 + -25). Let l = a + 73. What is the units digit of l? 0 Let p(t) = -t**3 + 33*t**2 - 11. What is the thousands digit of p(32)? 1 Let y(j) = -204*j**3 - 4*j**2 - 7*j - 1. What is the hundreds digit of y(-2)? 6 Let o(w) = 6*w**3 + w**2 + 5 - 5*w**3 + 5*w**2. Let l be (-377)/78 - 1/6. What is the units digit of o(l)? 0 What is the hundreds digit of 21/7 + -6 + 972? 9 Suppose 0 = 5*v - 15, -4*v - 9 = -3*r - 3*v. Suppose f = -f + r. Suppose -f*z = -5*z + 63. What is the tens digit of z? 2 Suppose 5*z - 35 = -5*p, 15 = 5*z - 2*p + 3*p. Let i be 0/(5/((-5)/z)). Suppose -2*b + 7*b + 20 = i, w - 5*b = 24. What is the units digit of w? 4 Suppose -3*k - 1 = -4. Let g be ((-27)/18)/(3/(-4)). What is the units digit of 38 + g + (1 - k)? 0 Let l(w) = -2*w**3 + 35*w**2 - 17*w + 7. Let v be l(17). Suppose 55 - 167 = -v*s. What is the tens digit of s? 1 Suppose 136 = 5*t - t. Suppose -18*q + 19*q = t. What is the units digit of (q/(-6))/((-7)/63)? 1 Let f = -298 - -844. What is the tens digit of f? 4 Suppose 3*f - 4407 = -n, 7*n = f + 6*n - 1465. What is the hundreds digit of f? 4 What is the tens digit of -2 + (-4 - 1 - -10) + 417? 2 Let h = 12 - 8. Suppose 7*o - 156 = h*o. Suppose -2*k - 3*k = 3*i - o, 0 = 4*i - 5*k - 11. What is the units digit of i? 9 Let j = -59 + 59. What is the units digit of (1 + j)/((-8)/(-432))? 4 Let x be 10/(-8)*52/(-13). Suppose 0 = -x*f + 39 + 66. What is the units digit of f? 1 Let n be -1*8/20*-915. Suppose 5*t - n = -l, 7*l = 4*t + 2*l - 316. What is the tens digit of (t/(-4))/((-5)/10)? 3 What is the tens digit of 1/(-3)*1/(10/(-990))? 3 Let u(i) = -i**2 + 12*i - 20. Let a be u(8). Let w be ((-2 + -1)*-1)/1. Suppose -4*c = -a, -c - 5 = -w*t + t. What is the units digit of t? 4 Let b(i) be the third derivative of -2*i**6/5 + i**5/30 + i**4/24 - 15*i**2. What is the units digit of b(-1)? 9 Let b(p) = -p**2 - p + 134. Let r(x) = -x + 5. Let c be r(5). Let a be b(c). Suppose -a = -5*s + 3*n, -3*s = -0*s + n - 72. What is the units digit of s? 5 Let b(d) = d**3 + 6*d**2 - 8*d - 6. Let z be b(-7). Let o be ((-4)/(-10))/(z/5). Suppose 0 = -3*q + 9, t = 3*q + 10 + o. What is the tens digit of t? 2 Let u(k) be the second derivative of 0 + 2/3*k**4 + 6*k + 1/2*k**2 + 1/6*k**3. What is the units digit of u(-1)? 8 Let s = 6714 - 4576. What is the hundreds digit of s? 1 Let u = -201 + 340. What is the hundreds digit of u? 1 Suppose j - 3*h = -4, 3*j = -0*h - 3*h - 36. Let k = -9 - j. What is the units digit of 3 - (-7 + (k - 0))? 9 Let t(q) = -q**2 - 13*q - 12. Let k(h) = -h**2 - 13*h - 12. Let o(g) = -3*k(g) + 4*t(g). Suppose 0*j + 2*j + 18 = 0. What is the units digit of o(j)? 4 Let d(y) = -2*y**2 - 3*y - 3. Let b be d(-3). Suppose 4*s + 0*s = 5*q - 7464, 2*s = -4*q - 3732. What is the tens digit of (-2)/b - s/36? 5 Suppose 0 = -4*i + 2*i + 4, 5*a = 3*i + 10324. What is the tens digit of a? 6 Let g be (-3)/9 - (-4)/(-18)*57. What is the tens digit of (-1350)/(-7) + g/(-91)? 9 Suppose 0 = 2*r - 8*j + 11*j - 5846, 0 = r - 13*j - 2981. What is the hundreds digit of r? 9 Let s = 867 + -588. What is the units digit of s? 9 Suppose -3*m - i = -322, 0*i + 104 = m - 3*i. Let j = m - -11. What is the units digit of j? 8 Suppose -h + 18 = -5*h - v, -10 = 5*v. Let w be (-6)/(-8) - 69/h. Let u = w - -3. What is the units digit of u? 1 Let o(n) = -n**3 - 2*n**2 - n + 4. Let x be o(-5). Suppose -3*b = -x - 36. Suppose 35 = 4*d - 3*f, -5*d = -9*f + 4*f - b. What is the tens digit of d? 1 Suppose -3*d = -p - 42, 5*d - 8 = d. Let w = -34 - p. Let c(h) = 3*h**2 + h - 3. What is the tens digit of c(w)? 1 Suppose -3*s = -z - 0*z - 2456, -3*s = -2*z - 2461. What is the units digit of s? 7 Suppose -16*c - 96 = -12*c. Let n = 16 + c. Let t(h) = h**3 + 7*h**2 - 12*h - 9. What is the units digit of t(n)? 3 Suppose 0 = -2*b - o + 8, -9 = -2*b + o - 1. Suppose -4*i = -b*t + 308, 4*i + 174 = 2*t - 140. What is the units digit of (-24)/(-10)*i/(-6)? 2 Suppose v = 56 - 53. Suppose b - 2*b = 3. What is the units digit of v*(-1 - b) - 2? 4 Let b(x) be the first derivative of x**4/4 + 7*x**3/3 + x**2 + 2. Suppose 0 = 5*t + 11 + 19. What is the units digit of b(t)? 4 Let y = 64 + 76. What is the hundreds digit of y? 1 Let v be 3/(-3) + (-1)/1. What is the tens digit of (v/1)/((-14)/280)? 4 What is the tens digit of 95062/87 - ((-8)/6 + 2)? 9 Suppose 2*u = 7*u - 525. What is the units digit of u? 5 Let w = -66 - -131. What is the tens digit of w? 6 Suppose 3*m + 0*m - 12 = -3*r, -4 = 2*r - 4*m. Suppose 628 = 4*b - 4*n, 0*b - r*b = -4*n - 320. What is the hundreds digit of b? 1 Let u = -942 + 1901. What is the units digit of u? 9 Let k(m) = 2*m + 3. Let j(v) = -3*v - 2. Let g(z) = -5*j(z) - 6*k(z). Suppose -2*t + f = -14, 5*f - f = 3*t - 21. What is the tens digit of g(t)? 1 Suppose 2*w + 3*b + 414 = -0, 3*b + 1017 = -5*w. What is the tens digit of (-6)/9*w/2? 6 Let b = -60 - -101. Let x = b + -19. Let m = x + 4. What is the units digit of m? 6 Let x = 767 + -251. What is the units digit of x? 6 Let q(g) = -4*g**3 - 10*g**2 - 16*g - 9. What is the hundreds digit of q(-6)? 5 Suppose 21 = -5*h - 159. Let u be h*((-4)/16 - -1). What is the tens digit of u*(8/2)/(-4)? 2 What is the units digit of 590 + (0/2)/5? 0 Let g(m) = 33*m - 18. Let h be g(7). Suppose -h = 8*k - 829. What is the tens digit of k? 7 Let l be 12/(-15)*10/(-4). Suppose -f = l - 3. What is the units digit of (-2)/(f - 0 - 3)? 1 Let w be (-45)/(-18) - (-2)/4. Suppose -1 - w = -2*p. Suppose 3*x = o - 5*o + 71, -p*o = 4*x - 38. What is the tens digit of o? 1 Suppose s - 4*s - 240 = 0. Let l be ((-9)/(-18))/((-2)/(-24)). What is the tens digit of s/(-25)*(l - 1)? 1 Let u be (130/(-35) + 4)/((-1)/(-7)). Suppose 3*c + 15 - 150 = -k, -5*k + 727 = u*c. What is the tens digit of k? 4 Suppose -299 = -2*b - 6*z + 9*z, -4*z - 744 = -5*b. Let f(t) = 13*t - 7. Let v be f(-6). Let u = b + v. What is the units digit of u? 3 Suppose 660 = 11*o - 1793. What is the tens digit of o? 2 Let f(j) = 36*j**2 + 21*j - 59. What is the thousands digit of f(-8)? 2 Suppose -12*o + 23*o = 1276. What is the tens digit of o? 1 Let s be 1/(-2)*(-12 - -2). Suppose -5*m = -f + 261, 3*m - 101 = s*m + 3*f. What is the units digit of (m/6)/((-2)/3)? 3 Let u = -20 + 2. Let y be (12 + u)*74/(-6). Suppose 3*w + 20 = y. What is the units digit of w? 8 Suppose -206 = 5*l + 3*j - 2219, -3*l = 2*j - 1207. What is the hundreds digit of l? 4 What is the hundreds digit of 301/1*3 + (0 - -1)? 9 Suppose 124*m + 62010 = 139*m. What is the tens digit of m? 3 Let c(d) = -94*d**2 + 1. Let w be c(-1). What is the tens digit of (-3 + w/(-12))/(1/4)? 1 Suppose -x - 3*x = h - 173, -5*x + 230 = 4*h. Let j = x + -25. What is the units digit of j? 7 Let f be 1/(-3*5/(-1515)). Suppose 0 = 3*j - f - 175. What is the units digit of j? 2 Let q = -2 - -63. Suppose 6*m = 817 - q. What is the tens digit of m? 2 Let p be (7/(-3) - -3)*3. What is the tens digit of (-29 + 24)/(p/(-36))? 9 Let v(m) = 2*m - 2*m - m - 7. Let z(r) = r + 3. Let l(p) = -2*v(p) - 5*z(p). What is the units digit of l(-4)? 1 Let f = -13 - 0. Let b(w) = -8*w. Let v be b(f). Suppose -v + 264 = 5*g. What is the tens digit of g? 3 Let j(a) = a**3 + 8*a**2 - 2*a - 14. Suppose -5*b = -b + 28. Let r be j(b). Let g = -29 + r. What is the tens digit of g? 2 Let q = 1629 + 88. What is the thousands digit of q? 1 Suppose -88 = 3*n + 221. Let o = 33 - n. Suppose 37 = -3*p + o. What is the units digit of p? 3 Let b = -1 + -5. Let a be b/(-3) - 2/2. Let r = 23 - a. What is the units digit of r? 2 Let i = 20 + -2. Let g = i - -59. What is the tens digit of g? 7 Let a(o) = -o**3 - o**2 - 3*o. Let b be a(-5). Let s = b - 50. What is the units digit of s? 5 Suppose -3 = g, 5*f - 5*g + 7*g - 14364 = 0. What is the tens digit of f? 7 Suppose 4*i + 2769 = 2*j + 9*i, -5*j + 6912 = 2*i. What is the tens digit of j? 8 Let i(w) = w**3 + 29*w**2 + 33*w + 144. What is the thousands digit of i(-22)? 2 Suppose 3*t - 27 = -3*p - 0*p, p = 5*t + 9. Suppose 5*w + 204 = p*w. What is the tens digit of w? 5 Suppose 0 = o + o - 4. Let n(u) = 2*u**2 + 3*u + 4*u**2 - 3 - 5*u**o. What is the units digit of n(-7)? 5 Let a = -133 + 142. Let p(n) be the third derivative of
{ "pile_set_name": "DM Mathematics" }
= 3*c**4 + 10*c**3 + 8*c**2 - 7*c - 7. Let w(a) = q*u(a) - 6*d(a). Factor w(r). -r**2*(r - 1)*(4*r + 1) Let 4/7 + 16/7*n + 16/7*n**3 + 24/7*n**2 + 4/7*n**4 = 0. Calculate n. -1 Let j = 4/21 - -1/7. Let l(u) be the first derivative of 0*u + 2/3*u**4 - 3 + j*u**2 + 8/9*u**3. Determine m so that l(m) = 0. -1/2, 0 Let o(a) be the first derivative of 2*a + 1/3*a**3 + 3/2*a**2 - 3. What is r in o(r) = 0? -2, -1 Let z(w) be the third derivative of -5*w**8/168 + w**7/14 + 3*w**6/8 + w**5/12 - 5*w**4/8 + 6*w**2. What is c in z(c) = 0? -1, 0, 1/2, 3 Let a be 18/4*(-4)/(-6). Suppose -2*z = -6*z + 8. Factor 0 - 1/4*b**a + 1/4*b + 0*b**z. -b*(b - 1)*(b + 1)/4 Let j be 1 - (-6)/(-10) - 98/(-245). Factor 4/5*w**3 + 0 - j*w + 2/5*w**2 - 2/5*w**4. -2*w*(w - 2)*(w - 1)*(w + 1)/5 Let b(p) be the second derivative of 2*p**7/21 - 2*p**6/3 + 6*p**5/5 + 2*p**4/3 - 14*p**3/3 + 6*p**2 - 16*p. Factor b(y). 4*(y - 3)*(y - 1)**3*(y + 1) Let g(x) be the second derivative of -x**5/25 + 4*x**4/15 - 2*x**3/5 + 20*x. Factor g(p). -4*p*(p - 3)*(p - 1)/5 Let v(u) be the third derivative of -u**5/240 + 7*u**4/96 - u**3/4 + 28*u**2. Factor v(x). -(x - 6)*(x - 1)/4 Let m(q) = -q. Let x(u) = -u**2 - 2*u + 2. Let c = 5 - 4. Let f(i) = c*x(i) - m(i). Determine d, given that f(d) = 0. -2, 1 Factor 1/2*u**3 - 3/2*u + 1 + 0*u**2. (u - 1)**2*(u + 2)/2 Suppose r - 13 = 5*i - 1, i = 4*r - 10. Let x = -24/73 + 946/657. Factor 14/9*y**r + x*y - 4/9. 2*(y + 1)*(7*y - 2)/9 Suppose 2/13*r**2 - 2/13*r**4 + 0 + 2/13*r - 2/13*r**3 = 0. What is r? -1, 0, 1 Let t(i) = 2*i + 4. Let g be t(-2). Suppose g = -3*v + 5*m, 0*m = v - 2*m. Factor v + 8/7*d + 8/7*d**2 + 2/7*d**3. 2*d*(d + 2)**2/7 Factor 48/5*c**2 + 33/5*c + 21/5*c**3 + 6/5. 3*(c + 1)**2*(7*c + 2)/5 Let 2/13*x**2 + 0 - 8/13*x = 0. Calculate x. 0, 4 Let c(y) = 3*y**2 - 5*y + 2. Let w(g) = g**2 - 2*g + 1. Let h(b) = -2*c(b) + 5*w(b). Let h(q) = 0. What is q? -1, 1 Let f(t) be the third derivative of t**9/15120 + t**8/6720 - t**7/2520 - t**6/720 - t**4/6 - 3*t**2. Let x(c) be the second derivative of f(c). Solve x(r) = 0. -1, 0, 1 Let z(w) = 5*w**2 + 9*w + 10. Let n be z(-7). Let u = -957/5 + n. Factor 2/5*d + 1/5 - u*d**2. -(d - 1)*(3*d + 1)/5 Let n(b) = b. Let o be n(2). Let g(q) be the first derivative of -1/12*q**3 + 0*q + o + 1/4*q**2. Factor g(h). -h*(h - 2)/4 Let f(q) be the second derivative of -q**6/240 - q**5/160 + q**4/96 + q**3/48 - 9*q. Let f(m) = 0. What is m? -1, 0, 1 Factor 0*b**2 - 1/4*b**5 - 1/2*b**3 + 0*b - 3/4*b**4 + 0. -b**3*(b + 1)*(b + 2)/4 Let k(v) = 2*v**4 + 7*v**3 - 7*v**2 - 2*v + 13. Let b = 6 - 12. Let q(i) = -i**4 - 3*i**3 + 3*i**2 + i - 6. Let w(u) = b*k(u) - 13*q(u). Factor w(l). l*(l - 1)**3 What is h in 4*h + 23*h**4 - 40*h**2 + 16*h + 5*h**3 - 8*h**4 = 0? -2, 0, 2/3, 1 Let g(j) = -j**3 - 7*j**2 - 4*j + 15. Let n be g(-6). Factor 1/4*p + 1/2*p**2 + 0 + 1/4*p**n. p*(p + 1)**2/4 Let a(d) = 20*d**5 + 11*d**4 + 8*d**3 - 8*d**2 + 8*d - 8. Let z(w) = 13*w**5 + 7*w**4 + 5*w**3 - 5*w**2 + 5*w - 5. Let h(y) = -5*a(y) + 8*z(y). Factor h(n). n**4*(4*n + 1) Let v = 26 - 23. Find y such that -2/3*y**v + 4/9 + 2/3*y - 2/9*y**4 - 2/9*y**2 = 0. -2, -1, 1 Let c(b) be the third derivative of -b**8/1344 + 11*b**7/840 - 7*b**6/96 + 5*b**5/48 - 43*b**2. Factor c(m). -m**2*(m - 5)**2*(m - 1)/4 Let b(j) be the first derivative of -j**3/2 + 9*j**2/2 - 27*j/2 - 21. Factor b(q). -3*(q - 3)**2/2 Let n(l) be the first derivative of 5*l**3/3 - 35*l**2/2 + 30*l + 31. Solve n(i) = 0. 1, 6 Let m be -1 + 0 + (-150)/(-140). Let f(b) be the first derivative of 0*b + m*b**4 - 1 - 2/7*b**3 + 2/7*b**2. Factor f(l). 2*l*(l - 2)*(l - 1)/7 Let x(t) be the second derivative of -7*t**5/90 + 5*t**4/9 - 8*t**3/27 + 4*t. Factor x(l). -2*l*(l - 4)*(7*l - 2)/9 Let r = -1 + 3. Factor -2*d**4 - 2*d**3 + 0*d**4 + 2*d**r + 0*d**2 + 2*d. -2*d*(d - 1)*(d + 1)**2 Let k(x) be the first derivative of -1/30*x**6 + 0*x + 4 + 0*x**2 - 1/15*x**3 - 3/25*x**5 - 3/20*x**4. Determine w, given that k(w) = 0. -1, 0 Let n(f) be the second derivative of f**6/80 - 3*f**5/160 - 3*f**4/32 + 5*f**3/16 - 3*f**2/8 - 13*f. Suppose n(o) = 0. What is o? -2, 1 Suppose 4*p + 0 = 20. Suppose j = p - 2. Let -2 + 2*q - 4*q**3 + 6*q**2 - 2*q**2 + 5*q**5 - 2*q**4 - j*q**5 = 0. What is q? -1, 1 Let f(z) be the second derivative of -z**8/1680 + z**7/280 - z**6/120 + z**5/120 - z**3 + 5*z. Let m(l) be the second derivative of f(l). Factor m(d). -d*(d - 1)**3 Suppose -31*h + 2 + 91 = 0. Factor 3*b**2 + 3/2*b - 3 - 3/2*b**h. -3*(b - 2)*(b - 1)*(b + 1)/2 Suppose 5*l - 32 = -d + 4*d, -2*d = 8. Let m(c) be the first derivative of -1/12*c**l + 0*c - 1/9*c**3 + 1/6*c**2 + 1/15*c**5 + 2. Factor m(q). q*(q - 1)**2*(q + 1)/3 Solve 20*n**2 + 8 + 20*n + 5/2*n**4 + 1/4*n**5 + 10*n**3 = 0 for n. -2 Let i = 36 + -32. Suppose 4/5*p**2 + 0 + 6/5*p**3 + 0*p + 2/5*p**i = 0. What is p? -2, -1, 0 Let c(g) be the second derivative of g**5/4 - 5*g**4/4 + 5*g**3/3 + 3*g. Factor c(f). 5*f*(f - 2)*(f - 1) What is x in -4/5*x**5 + 6/5*x**3 + 0 + 2/5*x**4 + 0*x**2 + 0*x = 0? -1, 0, 3/2 Let k(w) be the second derivative of 1/8*w**4 + 0*w**2 + 3/20*w**6 - 1/28*w**7 + 0*w**3 - 3*w - 9/40*w**5 + 0. Determine y so that k(y) = 0. 0, 1 Let b(o) be the first derivative of 4*o**5 - 9*o**4 - 88*o**3/3 + 72*o**2 + 32*o + 30. Solve b(s) = 0. -2, -1/5, 2 Let f(t) = -7*t**3 + 16*t**2 - 11*t + 6. Let p(h) = -8*h**3 + 17*h**2 - 10*h + 6. Let r(b) = 5*f(b) - 4*p(b). Factor r(l). -3*(l - 2)*(l - 1)**2 Let s(z) be the third derivative of -1/150*z**6 + 0*z - 1/75*z**5 + 1/840*z**8 + 0 + 1/15*z**3 + 1/525*z**7 + 1/60*z**4 + z**2. Factor s(c). 2*(c - 1)**2*(c + 1)**3/5 Suppose 2*y + 22 = 26. Let -4/11 + 14/11*n**4 - 18/11*n + 18/11*n**3 - 10/11*n**y = 0. What is n? -1, -2/7, 1 Let v(w) be the first derivative of -w**5/15 - w**4/3 + 3*w**2 + 2. Let d(r) be the second derivative of v(r). What is t in d(t) = 0? -2, 0 Suppose -b + 7 = 2*n, 5 = -3*n + 3*b + 2. Suppose -1/5 + 0*c + 1/5*c**n = 0. What is c? -1, 1 Let a(i) = 6*i**3 + 9*i**2. Let p(o) = -5*o**3 - 8*o**2. Let t(m) = -6*a(m) - 7*p(m). Solve t(r) = 0 for r. 0, 2 Let q = -2 + 2. Suppose 16 = 2*w - 3*z, 6*w + 2*z = 2*w. Let -o**3 + q*o**w + 0*o**2 = 0. What is o? 0 Let q(j) = 1 - 1 + 2*j**2 + 3*j. Let d be q(-2). Find b, given that 0 + 1/3*b**3 + 0*b**d - 1/3*b = 0. -1, 0, 1 Let n(g) = g - 1. Let o be n(-3). Let x = o - -9. Suppose -9*b**4 - 2*b**x + 5*b**5 - 4*b**2 + 9*b**3 + b**2 = 0. Calculate b. 0, 1 Suppose 0 = 4*h - 8, -3*n - 3*h = 2*h - 16. Suppose 5*f = -0 + 10. Let -n*v**4 + 4*v**4 - f*v**2 + 0*v**2 = 0. What is v? -1, 0, 1 Find f, given that -3/2*f**2 + 3/2*f**3 + 3/2 - 3/2*f = 0. -1, 1 Let l(g) be the third derivative of -g**7/1365 - g**6/390 + g**5/390 + g**4/78 + 10*g**2. Determine y so that l(y) = 0. -2, -1, 0, 1 Determine m, given that 28/5*m - 8/5*m**2 - 8/5 - 12/5*m**3 = 0. -2, 1/3, 1 Let y(m) = -m**4 - 4*m**2 + 5*m. Suppose 0 = -4*i + 4. Let d(f) = f**2 - f. Let v(a) = i*y(a) + 5*d(a). Solve v(w) = 0. -1, 0, 1 Factor 2 + 0*m**3 + 9*m**2 + m**3 - 11*m**2 - m. (m - 2)*(m - 1)*(m + 1) Let t(y) = 2*y**5 - 12*y**4 - 2*y**3 + 10*y**2 + 2. Let l(n) = 2*n**5 - 11*n**4 - n**3 + 9*n**2 - n + 2. Let c(r) = -6*l(r) + 5*t(r). Factor c(j). -2*(j - 1)**4*(j + 1) Let l(f) be the first derivative of 5*f**4/4 - 10*f**3/3 + 5*f**2/2 - 25. Factor l(g). 5*g*(g - 1)**2 Let x(s) = 3*s - 9. Let z be x(3). Solve 2/5*r**3 + 0*r - 2/5*r**5 + z + 2/5*r**4 - 2/5*r**2 = 0 for r. -1, 0, 1 Let h be 1*(8 + -7)*(-2 + 2). Factor 0*a - 2/5*a**5 + h + 0*a**2 + 0*a**3 - 2/5*a**4. -2*a**4*(a + 1)/5 Suppose 3*g = 3*v + 37 + 32, g = -2. Let y = -74/3 - v. Find m such that 0 + 1/3*m**5 + 0*m - 1/3*m**4 + 1/3*m**2 - y*m**3 = 0. -1, 0, 1 Let l(g) be the second derivative of -5*g**7/42 - 11*g**6/30 - 39*g**5/100 - 3*g**4/20 - 10*g. Determine k, given that l(k) = 0. -1, -3/5, 0 Let f(n) be the first derivative of -n**4/2 + 2*n**3/3 + 7*n**2/4 + n - 9. Suppose f(c) = 0. What is c? -1/2, 2 Suppose 0 = 2*u + 2 - 8. Find c, given that -3*c**u + 6*c**2 - 18 + 18 = 0. 0, 2 Let w(l) be the first derivative of 4*l**5/15 - 2*l**4/3 - 16*l**3/9 + 4*l**2/3 + 4*l + 2. Solve w(o) = 0. -1, 1, 3 Let x(b) = 5*b**2 + 7*b - 6. Let j(r) = 2 - 13*r - 11*r**2 + 7 - 2*r + 4. Let f(i) = 6*j(i) + 13*x(i). Find z, given that f(z) = 0. 0, 1 Let
{ "pile_set_name": "DM Mathematics" }
(sqrt(2)*2*-2 - sqrt(2))))**2. 44 Simplify (sqrt(98)/(1*sqrt(7) + sqrt(7)) - sqrt(14))/(sqrt(56)/sqrt(32) - sqrt(7)). sqrt(2) Simplify (sqrt(832) + 1)**2*-2. -1666 - 32*sqrt(13) Simplify -2*((sqrt(19) + 0 + 5 - sqrt(19))**2 + -2). -46 Simplify (2 + sqrt(162) + 5 - (3 + (sqrt(162) + 1 - sqrt(162))))**2. 54*sqrt(2) + 171 Simplify ((sqrt(504) + (sqrt(504) + (sqrt(504) - (sqrt(504) + sqrt(504) + 2*sqrt(504))))*-3 + sqrt(504) - sqrt(504) - sqrt(504))/(1*sqrt(72) + sqrt(8)))**2. 567/4 Simplify (sqrt(26)/(-4*sqrt(200) - sqrt(2)))**2. 13/1681 Simplify -4 + (sqrt(19) - (sqrt(19) + -2)**2) + (sqrt(57)/sqrt(3) + 5 - sqrt(19)). -22 + 5*sqrt(19) Simplify -3 + 0 + sqrt(28) + sqrt(28) + 4. 1 + 4*sqrt(7) Simplify -3 + ((sqrt(39)*-1)/sqrt(3))**2. 10 Simplify (((sqrt(68) + sqrt(68)*2 + sqrt(68) - sqrt(68))*-4 - sqrt(68)) + sqrt(68))/(sqrt(144)/sqrt(4)). -4*sqrt(17) Simplify -3*sqrt(272)*1*5. -60*sqrt(17) Simplify (sqrt(1210) - sqrt(1210)*-2)/sqrt(5). 33*sqrt(2) Simplify sqrt(22)/(sqrt(22)/sqrt(2)) + (sqrt(14)/(sqrt(14)/sqrt(2)))**2. sqrt(2) + 2 Simplify 0 + ((sqrt(720) + sqrt(720)*-1*-6)**2 + sqrt(720) - (1 + sqrt(720) + -4)). 35283 Simplify ((sqrt(17) - 2*sqrt(68)) + 1*sqrt(17) + -5)**2. 20*sqrt(17) + 93 Simplify (sqrt(81)/(sqrt(27) - sqrt(3)))/(sqrt(144)*-2). -sqrt(3)/16 Simplify (sqrt(684)*2)**2 + sqrt(684) + 2 - (sqrt(684) - 6*(sqrt(684) + -2)**2). -144*sqrt(19) + 6866 Simplify (sqrt(1088) + 2)*4 + -2. 6 + 32*sqrt(17) Simplify sqrt(85)/(sqrt(45)*3 - sqrt(5)). sqrt(17)/8 Simplify (sqrt(11) - (2 + sqrt(1100) - sqrt(1100))) + (sqrt(11) - (-1*sqrt(33))/sqrt(3)) + -5. -7 + 3*sqrt(11) Simplify (sqrt(117)/(sqrt(9) + sqrt(81)) - (sqrt(637) + 1)**2) + -3. -641 - 55*sqrt(13)/4 Simplify ((sqrt(54) - sqrt(6))/sqrt(3))**2 + -4. 4 Simplify sqrt(18)/((sqrt(600) + sqrt(600)*-2 - sqrt(600)) + sqrt(6)). -sqrt(3)/19 Simplify (sqrt(13) + sqrt(468) + 5 + sqrt(13) - (-1*sqrt(156))/sqrt(12))**2. 90*sqrt(13) + 1078 Simplify ((sqrt(5760)*1)/((2*sqrt(88))/sqrt(11)))**2. 180 Simplify sqrt(49)/((sqrt(63)*-5)/sqrt(9)). -sqrt(7)/5 Simplify ((sqrt(128)*2)**2 - (sqrt(2) + sqrt(2)*3 + -1)) + 1. -4*sqrt(2) + 514 Simplify -3*(-1 + sqrt(11))**2 + sqrt(22)/sqrt(2) + 1. -35 + 7*sqrt(11) Simplify (sqrt(833) - (-2*sqrt(833) + 1)) + sqrt(833). -1 + 28*sqrt(17) Simplify (-6*(-4 + sqrt(252)))**2. -1728*sqrt(7) + 9648 Simplify (sqrt(300)*2)**2 + sqrt(300) - sqrt(300) - (sqrt(75) + (sqrt(75)*2 - sqrt(75)))**2. 900 Simplify (sqrt(44)/sqrt(2)*-1)/sqrt(11) + -5. -5 - sqrt(2) Simplify sqrt(1053)*1 - (2 + sqrt(39)/sqrt(3))**2. -17 + 5*sqrt(13) Simplify ((sqrt(540)*5 + sqrt(15))/((sqrt(75) + sqrt(3))*-3))**2. 4805/324 Simplify (sqrt(1300) - 5*(sqrt(1300) + -1))**2 + -4. -400*sqrt(13) + 20821 Simplify sqrt(33)/(1*sqrt(3)*-2 + sqrt(3)). -sqrt(11) Simplify ((sqrt(44)/(sqrt(4) + (sqrt(64) - sqrt(4))*4) + 0)*6)**2. 396/169 Simplify sqrt(33)/(sqrt(12)/sqrt(4)*-3)*5. -5*sqrt(11)/3 Simplify -3 + -1*sqrt(2) + -2. -5 - sqrt(2) Simplify (5*sqrt(66)*1)/(2*sqrt(24)). 5*sqrt(11)/4 Simplify (sqrt(1008) + -1 + sqrt(1008) - sqrt(7) - sqrt(7)) + sqrt(7) - (sqrt(7) - 1*sqrt(7))*-6. -1 + 23*sqrt(7) Simplify 3 + (sqrt(162))**2 + 1 + 4*sqrt(2). 4*sqrt(2) + 166 Simplify (sqrt(99) - 2*1*sqrt(99))/(sqrt(9) - (-1*sqrt(108) - sqrt(108))/sqrt(12)). -sqrt(11)/3 Simplify -4*2*(4 + sqrt(704)*-2). -32 + 128*sqrt(11) Simplify -2*(5*sqrt(343))**2. -17150 Simplify (-3 + sqrt(252) + -1 - sqrt(252))**2. 16 Simplify sqrt(91)/sqrt(7) + -2 + (sqrt(104)/sqrt(200) - sqrt(13)) + sqrt(13). -2 + 6*sqrt(13)/5 Simplify (4 + (0 + sqrt(1053) - sqrt(1053)))**2. 16 Simplify ((sqrt(190) + (sqrt(190) - 1*sqrt(190)))*-5)/(sqrt(40) - sqrt(1000) - sqrt(10)). 5*sqrt(19)/9 Simplify (3 + (sqrt(52) - (sqrt(52) - sqrt(1300))))**2. 60*sqrt(13) + 1309 Simplify sqrt(125) + -1*sqrt(125) - (5 + 1*sqrt(5)). -5 - sqrt(5) Simplify (2*sqrt(156)*-3)/(-2*sqrt(48)). 3*sqrt(13)/2 Simplify (sqrt(171) + -3 + ((sqrt(152)*5)/sqrt(8) - sqrt(19)))**2. -42*sqrt(19) + 940 Simplify (sqrt(44) - 1*sqrt(44)) + sqrt(11) + ((sqrt(99)*-5)/sqrt(9) + sqrt(11))**2. sqrt(11) + 176 Simplify sqrt(14)/(sqrt(10)/sqrt(5)*5). sqrt(7)/5 Simplify ((sqrt(143)*2 + sqrt(143))*-3)/((3*sqrt(11) - sqrt(11) - sqrt(11))*5). -9*sqrt(13)/5 Simplify -1*sqrt(75) + 2 + 5*(sqrt(75) - (1*sqrt(75) - sqrt(75))). 2 + 20*sqrt(3) Simplify (5*sqrt(114))/sqrt(6) + sqrt(19) + sqrt(152)/(sqrt(8)*-3). 17*sqrt(19)/3 Simplify (sqrt(65)/sqrt(5) + 3)*-2. -2*sqrt(13) - 6 Simplify -5 + (sqrt(425) + 1)**2. 10*sqrt(17) + 421 Simplify sqrt(96)/sqrt(12) - ((sqrt(98) + sqrt(98)*-3 - sqrt(98))**2 + sqrt(98)). -882 - 5*sqrt(2) Simplify -2*(sqrt(363) + sqrt(363) + 1 + sqrt(363) - sqrt(363))**2. -2906 - 88*sqrt(3) Simplify ((2*sqrt(343))**2 + 0)*2. 2744 Simplify -4*(sqrt(20)/(sqrt(4) + (sqrt(144)*-1 - sqrt(4))) + -5). 2*sqrt(5)/3 + 20 Simplify (sqrt(171) + 0)**2 + sqrt(19) + 4. sqrt(19) + 175 Simplify (sqrt(108) + sqrt(108)*-2 - (1*sqrt(3) + -5))*5. -35*sqrt(3) + 25 Simplify (4 + sqrt(5)*-1)**2 - (sqrt(5) + (sqrt(20)*2)/sqrt(4)). -11*sqrt(5) + 21 Simplify ((1*sqrt(136)*6)/sqrt(8))**2. 612 Simplify (-2*sqrt(2448)*-3)**2 + 4. 88132 Simplify 4 + (sqrt(60) + sqrt(2940))/sqrt(12). 4 + 8*sqrt(5) Simplify ((sqrt(120)/sqrt(3))/(sqrt(20)/sqrt(160)) + 4)**2. 64*sqrt(5) + 336 Simplify sqrt(7)*-4*-6*-2*3. -144*sqrt(7) Simplify (4 + 2 + sqrt(500))**2. 120*sqrt(5) + 536 Simplify (2 + sqrt(5324))**2*-6. -31968 - 528*sqrt(11) Simplify (4 + sqrt(11)*2 + 5)**2 + -4. 36*sqrt(11) + 121 Simplify 3 + (sqrt(208) - (sqrt(208) + 2)). 1 Simplify -5 + ((sqrt(5) - (sqrt(5) + 0 + sqrt(5))) + 2)**2 + -6*2*sqrt(5). -16*sqrt(5) + 4 Simplify -1*6*(0 + -2*sqrt(833) + sqrt(833)). 42*sqrt(17) Simplify -6*(sqrt(68)*1)**2*3. -1224 Simplify (sqrt(13) + sqrt(13)*4*-5 - (-1 + sqrt(26)/sqrt(2)))**2. -40*sqrt(13) + 5201 Simplify ((sqrt(168)*3)/sqrt(7))/(sqrt(24)/sqrt(18)). 9*sqrt(2) Simplify sqrt(176)*-6 + ((sqrt(66)/sqrt(6) - sqrt(11))*2)**2. -24*sqrt(11) Simplify -5 + (sqrt(17) - 3*sqrt(17)) + ((sqrt(204) - sqrt(204)*2 - sqrt(204))/sqrt(12) + sqrt(17))**2. -2*sqrt(17) + 12 Simplify (sqrt(1088) + 0)**2 + sqrt(34)/sqrt(200). sqrt(17)/10 + 1088 Simplify 2*(sqrt(432) + 3). 6 + 24*sqrt(3) Simplify 6*(sqrt(1872) - (1 + sqrt(1872))*1)*5. -30 Simplify sqrt(28)/(sqrt(4) + (sqrt(4) - sqrt(20)/sqrt(5)) + sqrt(4)) - (sqrt(7) - (sqrt(7) + (sqrt(7) + sqrt(7)*-3)*5)). -19*sqrt(7)/2 Simplify ((sqrt(171)*-5)**2 - sqrt(57)/sqrt(12))*1. -sqrt(19)/2 + 4275 Simplify ((sqrt(1300) - sqrt(1300)*3) + sqrt(1300) + 0)**2. 1300 Simplify 2 + (sqrt(77)/(sqrt(21)/sqrt(3)) + 4)**2. 8*sqrt(11) + 29 Simplify (2 + (sqrt(2448) - (sqrt(2448) - (1 + sqrt(2448)))) - -6*(1 + sqrt(2448)))**2. 1512*sqrt(17) + 120033 Simplify (sqrt(21)*2 - sqrt(21))/sqrt(3) + -2. -2 + sqrt(7) Simplify (-3*sqrt(108)/sqrt(3) + sqrt(36))/(sqrt(48)*1). -sqrt(3) Simplify (-4*-1*sqrt(119))/(sqrt(63)*-1). -4*sqrt(17)/3 Simplify -4*(sqrt(300)*2)**2*-5. 24000 Simplify 4 + (sqrt(242) + -1)**2 + -3 + sqrt(4)/sqrt(2). -21*sqrt(2) + 244 Simplify (sqrt(432) + -4*(-1*sqrt(432))**2)*2. -3456 + 24*sqrt(3) Simplify (sqrt(700) + (sqrt(700) + 1)**2)*3. 90*sqrt(7) + 2103 Simplify (sqrt(5) - (0 + (sqrt(45) - sqrt(5))**2))*5 + 3. -97 + 5*sqrt(5) Simplify -2*(sqrt(288) + 0)**2. -576 Simplify sqrt(130)/(sqrt(1440)*-3). -sqrt(13)/36 Simplify 0 + (sqrt(77)*1 - sqrt(77))/sqrt(7). 0 Simplify 1 + (0 + 0 + sqrt(243))**2. 244 Simplify sqrt(432)*-1*-2 + (sqrt(432) - (sqrt(432)*1 + sqrt(432))**2 - sqrt(432))*-3. 24*sqrt(3) + 5184 Simplify 1 + sqrt(304)*4*-4. -64*sqrt(19) + 1 Simplify sqrt(52)/sqrt(4)*6 + 5. 5 + 6*sqrt(13) Simplify (sqrt(76) - 3*(-1*sqrt(76) - sqrt(76))) + sqrt(76) + sqrt(76) + ((sqrt(171) + -1)**2 - sqrt(19)) + 1. 11*sqrt(19) + 173 Simplify ((-1 + sqrt(396))*-5 + sqrt(396) + -3)**2. -96*sqrt(11) + 6340 Simplify (sqrt(57)/((sqrt(36)/sqrt(6))/sqrt(2)))**2. 19 Simplify ((sqrt(567) - (-2 + sqrt(567))) + sqrt(567) - sqrt(567))**2*-1. -4 Simplify ((sqrt(720)*2 + sqrt(45))/(sqrt(225)*-6))**2. 9/20 Simplify (-1 + -1 + (sqrt(3)*3 - sqrt(3)))**2 + 1. -8*sqrt(3) + 17 Simplify (sqrt(52) - sqrt(13)) + 1 + (sqrt(104)*2)/sqrt(8). 1 + 3*sqrt(13) Simplify -5 + (-1 + sqrt(208) + 4)**2. 24*sqrt(13) + 212 Simplify sqrt(1331) - (2 + sqrt(1331) + 0). -2 Simplify -5*(sqrt(833) + sqrt(833)*-2) - sqrt(102)/(sqrt(36)/(sqrt(6)*1)). 34*sqrt(17) Simplify ((5 + sqrt(1584)*-4 - sqrt(15
{ "pile_set_name": "DM Mathematics" }
s positive. b**(27/20) Simplify (f**(-3/13)*f)/f**(1/11) assuming f is positive. f**(97/143) Simplify ((r/((r*(r/r**(6/11))/r)/r*r))/r**8)**(-5/12) assuming r is positive. r**(205/66) Simplify (n**(-1/4))**11/(n/n**(1/2)*n*n*n*n**(-1/4)*n*n*n) assuming n is positive. n**(-9) Simplify (i*i**(-2/39)*i**(-1/9))**(-21) assuming i is positive. i**(-686/39) Simplify p**14/(p*p/(p*p*p**(-5))) assuming p is positive. p**9 Simplify ((h/((h**(-7)*h)/h)*h)/h)/(h*h**(-6/11))*h**(-1/7)/(h*((h*(((h*h*h**(1/2))/h)/h)/h)/h)/h*h) assuming h is positive. h**(1063/154) Simplify z/z**3*z*z**2/z*z*z**3/z*z*z**0/z assuming z is positive. z**3 Simplify (z/(z/(z**(-2/7)*z)))/z**(-10) assuming z is positive. z**(75/7) Simplify g*(g/((((g/(g*g**(3/11)))/g)/g)/g))/g*g**(-19) assuming g is positive. g**(-162/11) Simplify (p**(-2/3))**(-1/41)/((p**(2/3)/p)/p**(2/9)) assuming p is positive. p**(211/369) Simplify ((k**15*k)/k**(-2/5))**(-13) assuming k is positive. k**(-1066/5) Simplify (q*q**(-7/3))**(-19) assuming q is positive. q**(76/3) Simplify (w/(w*w**(-3)*w))/(w*w**(-18)*w) assuming w is positive. w**18 Simplify s**2/((s/(s*s**(-2/45)))/s) assuming s is positive. s**(133/45) Simplify x**11/x**21 assuming x is positive. x**(-10) Simplify (j**22)**(-2/13) assuming j is positive. j**(-44/13) Simplify ((u**(-1/9)/u)/(u**(-7)*u))**(-14/11) assuming u is positive. u**(-56/9) Simplify y*(y**(-1/11)*y)/y*y*y*(y*y**(-29))/y assuming y is positive. y**(-287/11) Simplify ((r*r**(5/4)*r*r)/(r*r/((r/r**(-2/3))/r)))/((r*r**3)/r**2) assuming r is positive. r**(11/12) Simplify ((d**(-2/13)/d)**(-41))**41 assuming d is positive. d**(25215/13) Simplify v*v/(v/(v/(v*v*(v*v**(-2/29))/v*v*v)))*v*v**6/v assuming v is positive. v**(118/29) Simplify p**(-29)*p**(-2/111) assuming p is positive. p**(-3221/111) Simplify ((k**(-20/9)/k)/k)**25 assuming k is positive. k**(-950/9) Simplify n*n*n**17*n*n/(n*n*(n*(n*(n*n/n**(2/15))/n*n)/n*n)/n*n) assuming n is positive. n**(227/15) Simplify (r*r**1*r*r*r**7)**(-12) assuming r is positive. r**(-132) Simplify ((d/d**(-2/3)*d)/d)/d**8*d**(1/3)/(d*d**3/d) assuming d is positive. d**(-9) Simplify n*n*n**3*n*n**(-6)*(n**(-2/7))**(-8) assuming n is positive. n**(16/7) Simplify (m/m**10)/m*m**(1/15) assuming m is positive. m**(-149/15) Simplify (h**0)**40*h**2*h**(-1/9)*h assuming h is positive. h**(26/9) Simplify (k**1)**(2/43)/(k/k**(-1)*k)**(-2/53) assuming k is positive. k**(364/2279) Simplify (((b**(-1/3)/b)/b)**0)**(4/9) assuming b is positive. 1 Simplify f**(21/8)/(f/(f*f/(f**(5/7)/f))) assuming f is positive. f**(219/56) Simplify ((u**15/u)/u)/u*u**(-18)*u assuming u is positive. u**(-5) Simplify n*n**(-4/15)*n**(-27)*n assuming n is positive. n**(-379/15) Simplify ((g/g**(-1/4))**7)**21 assuming g is positive. g**(735/4) Simplify (l**(-3/8)*l**0/l)**(5/9) assuming l is positive. l**(-55/72) Simplify (f*f**(-2/61))/f**(2/19) assuming f is positive. f**(999/1159) Simplify ((q*(q**(6/13)*q)/q*q)/q)/(q*(q*q/((q/(q/q**28))/q))/q) assuming q is positive. q**(344/13) Simplify v**3*v*v**(1/2)/v*(v**1)**(-11) assuming v is positive. v**(-15/2) Simplify (j*j**8/j*j**(-4))/(j**(-2))**(1/30) assuming j is positive. j**(61/15) Simplify (g*g/(g*g**1))**45/((g/((g**(3/8)/g)/g))/g*g**(5/2)) assuming g is positive. g**(-33/8) Simplify (g/(g**(-3/4)/g))**(5/14) assuming g is positive. g**(55/56) Simplify ((z/z**(-1/4))/z**4)/(z**9*z*z**5) assuming z is positive. z**(-71/4) Simplify ((x/x**(-2))/x**6)/((x**7/x)/(x*x**(1/3)/x*x)) assuming x is positive. x**(-23/3) Simplify ((g**5)**(-3/8))**(-1/3) assuming g is positive. g**(5/8) Simplify (p*p/p**(-3)*p*p*p*p*p)**(-1/19) assuming p is positive. p**(-10/19) Simplify ((o**(-3))**(-14))**(-27) assuming o is positive. o**(-1134) Simplify (w*w/(w*w**(-2)))/(w*w**(-3))*((w**(-2)/w)/w)/(w/w**(-2)) assuming w is positive. w**(-2) Simplify (a**(-1/5)/(a**(-7)*a))/(a**1*a)**13 assuming a is positive. a**(-101/5) Simplify ((x**(-2/5)*x)/x*x**4)/(x*x*x/x**(-1/4)*x*x**(-2/17)) assuming x is positive. x**(-181/340) Simplify k**6*k*k/k**(-2/11)*(k*k/k**1*k)**(-36) assuming k is positive. k**(-702/11) Simplify ((c*c**0)/((c*(c*c**(-1/2)*c)/c*c)/c))/(c**(-7/4)*c**(-3/2)) assuming c is positive. c**(11/4) Simplify ((q**(2/9))**(-7))**(-24) assuming q is positive. q**(112/3) Simplify ((p/(p/((p/p**(-2))/p)*p))/(p/((p*p**(-1/6))/p)))/((p/(p/p**(-1)*p)*p*p)/p)**28 assuming p is positive. p**(167/6) Simplify ((g**(-1/5)*g)/g)**(5/17)*((g*g**(-3/4)*g*g)/g)**(-13) assuming g is positive. g**(-1109/68) Simplify (q*q*q**(-15/8))**47 assuming q is positive. q**(47/8) Simplify d**(-5)*d**(-6)*d*d**(1/4)/d**2 assuming d is positive. d**(-47/4) Simplify (y*y**(-1))**(-43)/((y/(y/y**(1/4)*y))/y**7) assuming y is positive. y**(31/4) Simplify b**(-1/15)*b*b**29 assuming b is positive. b**(449/15) Simplify (t**12/((t/t**(-9/2))/t))**(-2/29) assuming t is positive. t**(-15/29) Simplify h**(-22)/(h*h**(-1/4)) assuming h is positive. h**(-91/4) Simplify (b/(b/(b*b*(b*b**(15/2))/b)*b)*b)**40 assuming b is positive. b**380 Simplify (j**(-2/9)/j)/(j/(j/(j**(-1/7)/j))*j)*j**(11/3)/j**(-9/5) assuming j is positive. j**(1382/315) Simplify ((y/(y*y**(2/3)*y))/y*y**(1/2))**(-8/13) assuming y is positive. y**(4/3) Simplify (j**5/(j*j*j/(j*j**5)))/(j*j**(-5)*j/((j/((j*(j**(-4/11)*j)/j)/j))/j)) assuming j is positive. j**(125/11) Simplify (i**8/i**(6/5))/((((i*i/((i*(i**(3/7)/i)/i*i*i)/i)*i)/i)/i)/(i/(i*i*i**(2/21)))) assuming i is positive. i**(77/15) Simplify l**(-2/9)*l*l*l*l/l**17 assuming l is positive. l**(-119/9) Simplify u**(6/5)/(((u/(u*u**(2/3)*u))/u)/u)*(u*(u**(-2/5)/u)/u)**(1/9) assuming u is positive. u**(212/45) Simplify (r**14/r)/r*r*(r**(-8/3)/r)/r*r assuming r is positive. r**(28/3) Simplify ((p/p**(-5))/p)/p**1*(p*p/(p/p**(-1/2)))**(2/101) assuming p is positive. p**(405/101) Simplify (n*n*n/(n/(n*n/(n*n*n/(n*(n*n**(-13/5)/n)/n)*n*n)*n*n)*n*n*n*n))**13 assuming n is positive. n**(-364/5) Simplify (l*l**1)**(-1/7)*(l**0)**(4/15) assuming l is positive. l**(-2/7) Simplify (d*d**(-1/2)*d)**(-7/9) assuming d is positive. d**(-7/6) Simplify l**(2/15)/(l/(((l**(12/5)/l)/l)/l)) assuming l is positive. l**(-22/15) Simplify z**(10/11)/z*z/(z**(2/55)*z) assuming z is positive. z**(-7/55) Simplify (w/(w*w/(w**(-1)*w)*w))**(-30)*w/w**(-2/15)*w**6 assuming w is positive. w**(1007/15) Simplify (w*(w/(w/(w**(2/11)*w*w)))/w)**33 assuming w is positive. w**72 Simplify a*(a**28*a)/a*a**(-14)*a assuming a is positive. a**16 Simplify (a/(a*(a**6*a)/a*a)*a)**2 assuming a is positive. a**(-12) Simplify n**(4/7)*n/(n**20/n*n) assuming n is positive. n**(-129/7) Simplify (l*l/(l*l**(1/4))*l**(-2/5)*l)/((l/(l**(-1/4)*l))/l*l*l**7) assuming l is positive. l**(-59/10) Simplify v**(-4)*v*v**8*(v**1)**(-14) assuming v is positive. v**(-9) Simplify (o*o*o**(-8/7)*o*o)/(o**21*o*o) assuming o is positive. o**(-141/7) Simplify (z/((z/(z/z**0))/z))**17*(z**(-1))**(13/2) assuming z is positive. z**(55/2) Simplify (o*o**(1/15)*o**18)**(-50) assuming o is positive. o**(-2860/3) Simplify ((g**(-2)*g)**(-2/43))**(-6) assuming g is positive. g**(-12/43) Simplify ((z/z**(-2))**(-1/5))**(-2/15) assuming z is positive. z**(2/25) Simplify (b**(-4/9))**5 assuming b is positive. b**(-20/9) Simplify (k**5)**(1/16) assuming k is positive. k**(5/16) Simplify u**(-1/9)*u*u**(-1)*u/(u/(u*u**1))*u*u*u/u**(-3) assuming u is positive. u**(71/9) Simplify (z/((z**(-3)/z)/z)*z*z/(z*z**0))/(z**(-5)/z*(z*z**(-2)*z)/z) assuming z is positive. z**14 Simplify g/g**(2/5)*g*g**(2/9)*(g**1)**(6/5) assuming g is positive. g**(136/45) Simplify ((a**(-6)*a)/a**9)/((a*(a/((a**(-9)/a)/a*a*a)*a*a)/a)/a**(2/17)) assuming a is positive. a**(-440/17) Simplify ((w*w**(-9))/w**5)**(-4/9) assuming w is positive. w**(52/9) Simplify ((o**5*o)/o*o*o/((((o**(2/27)/o)/o)/o)/o)*o*o)**(1/77) assuming o is positive. o**(349/2079) Simplify (r*r*r/r**(-2/7)*r**2*r)**(-1/28) assuming r is positive. r**(-11/49) Simplify (c/(c*c*c**(3/37)*c*c)*c)/c**(-8/5) assuming c is positive. c**(-89/185) Simplify (w**(2/9))**23*w**3*w**(2/7) assuming w is positive. w**(529/63) Simplify ((p*p*p*p**(1/6))/(p**(-5)*p*p))/(p*p*p/((p/p**(-6))/p)*p*p**3/p) assuming p is positive. p**(37/6) Simplify (i*i/(i*i**1/i*i))**(-9)/(i**(-1))**(-1/44) assu
{ "pile_set_name": "DM Mathematics" }
se 6*g - 3*g = 0. Let q be 0*(g + (-2 - -3)). Solve -5*p + 0*r = -5*r - 25, 3*p + r + 5 = q for p. 0 Let v be (-114)/(-22) - 34/187. Solve -2*l - 7 = -v*g + 2*g, 0 = 5*g - 3*l - 12 for g. 3 Suppose 0*u - 15 = -5*u. Solve u*x + 3 = 0, 2*h - 8 = 4*h + 2*x for h. -3 Suppose 2*s - 2*x = 50, -5*s - 9*x = -4*x - 75. Solve 4*d + 5*p = -1, 3 + s = -5*d + p for d. -4 Let j(a) = 3*a - 7. Let x be j(4). Solve -x*i + 2*s = -i - 2, -22 = -4*i - 2*s for i. 3 Suppose -5*k + 3 = -12. Suppose k*n = 6 - 0. Solve 4*i = 3*f - 19, -n*f - 1 - 5 = 2*i for f. 1 Let w = 18 + -13. Let m(h) = h**2 + 6*h + 2. Let s be m(-6). Solve 2*v - v = w*y + 6, s*y - 5*v = 16 for y. -2 Let o be 36/(-27) + 11/(-3). Let x = 0 - o. Let w = 55 - 36. Solve -2*h = -4*d - h + w, 0 = x*d - h - 23 for d. 4 Let y be 1 + (2/1 - -2). Let f = y + -2. Suppose -15 - 7 = -2*b - 4*l, 3*l = f*b + 3. Solve -b*w = 3*t - 18, 14 = -t - w + 4*w for t. 1 Let x(s) = s - 12. Suppose -4*g - 10 = -2*n, 3*n + 3*g - 10 = 2*n. Let m be x(n). Let f = 7 + m. Solve -r + k = 3, 2*r - 29 = -f*k - 3*k for r. 2 Suppose 3 = 3*k - 2*k. Suppose 4*c + 2*o - 22 = 0, 0 = 4*c - 5*o - 5 - 10. Suppose -k*t + c = -7. Solve -w - t = l, 5*w + l = -2*l - 16 for w. -2 Suppose 13 = 5*h - 3*s, -6*s + 7 = -h - 3*s. Solve -h = -3*a - o - 13, 2*a - 8 = 2*o for a. -1 Let a(q) = -q**3 - 9*q**2 - 8*q - 1. Let w be a(-8). Let s be 3*w/(-3) + -7. Let j be 3/(s*1/(-4)). Solve -d - j*d - 10 = -i, -2*d = -5*i - 2 for i. -2 Suppose -12*j = -5*j - 91. Solve -4*o + 2*g - j = -3*g, 18 = o + 3*g for o. 3 Let x = -51 - -66. Solve 0 = 5*z + 4*p - x, -7*p = -4*z - 2*p + 12 for z. 3 Let u = -12 - -7. Let q = 10 + u. Let k be 9/2*(-4)/(-9). Solve -4*x + q*c = -1, 0*x - k*c = x + 3 for x. -1 Let h(b) = b + 16. Let f be h(-11). Suppose 2*x + 1 = f. Solve 2*t = 5*n - 7, 4*t - x + 6 = 0 for n. 1 Suppose 19 = -4*t + 51. Solve -4*u - t = -4*d, -5*u + d - 4 = 10 for u. -3 Suppose -6*m = -m - 60. Suppose q - m = -4*u, -u + 5*q = u - 28. Solve 3*t + r = -4*r + 4, u*t - 3*r - 15 = 0 for t. 3 Let k = 5 + -3. Suppose -2*a + 0 = 10. Let i = a - -10. Solve k*b = 5*s + i, -2 = -0*b - b + 3*s for b. 5 Let t(p) = p**2. Let z be t(-4). Let l be z/10*15/6. Suppose -2*f = 2*c - c, 0 = l*f - 5*c. Solve -7*n + 2*n + 10 = f, 2*n - 2 = -2*a for a. -1 Let x(d) = d**2 + 3*d - 3. Let z be x(2). Let p(k) = k + 17. Let s be p(-12). Suppose c - 3*b + s = -0*c, 12 = 4*b. Solve -20 = -c*t - 0, -2*t = f - z for f. -3 Let x(r) = -r**2 - 8*r - 3. Let j be x(-7). Solve j*q - 29 = -q + p, -q + 1 = p for q. 5 Suppose t = 2*n + 6*t + 15, -9 = 5*n + 3*t. Suppose 3*s + n*s = 60. Let k(p) = p + 1. Let d be k(4). Solve -2*z - x = d, 0*x - 4*x - s = 0 for z. 0 Suppose b + 10*o - 6*o = -11, o = -2*b + 13. Solve -d + 0*u - 3 = 3*u, -d + b = -3*u for d. 3 Let y be -5*(16/(-120))/((-1)/(-3)). Solve -z - y*z = 2*b - 8, 2*b = 8 for z. 0 Let w = -75 - -84. Solve 5*i = -2*u + 15 - 1, 0 = 3*u + w for i. 4 Let k(g) = g**2 + 10*g + 12. Suppose 0*o + j + 41 = -4*o, 5*j = -25. Let r be k(o). Suppose -9 = -3*z - r. Solve d = 5*m - z*m + 12, -3*m = -5*d for d. -3 Let l(o) = o**3 - 18*o**2 + 32*o. Let w be l(16). Solve -c - 2*d + 16 = 3*c, 5*c - 4*d - 7 = w for c. 3 Let b be 1*1/(4/(-8) - -1). Solve 2*n - 4*y + 26 = 0, b*n - 5*y + 21 = -2*y for n. -3 Let d(r) = -r**2 + 3. Let v be d(0). Let l(j) = -3*j - 13. Let i be l(-6). Solve v = 2*t - 4*k + i, 3*t + 3*k = -3 for t. -1 Suppose -5*u + 17 = 2. Suppose -3*o - 4*w = -21, 18 = 5*o + u*w - 2*w. Solve 5 = s + s + f, -o*s + 4 = -2*f for s. 2 Let i = 18 + -15. Solve -9 = -3*a, -i*x = 3*a - 4*a + 9 for x. -2 Let g = -125 - -131. Solve 2*u - 11 = g*u + c, u - 2*c + 14 = 0 for u. -4 Let z be 0/(1/(3/6)). Let f be z + (-14)/(-2) - 2. Solve -4 = -g, -5*r - f*g = -r - 36 for r. 4 Let y be 1/((-35)/10) - 74/(-14). Solve -y*b - v = 21, 3*b + 0*v - 1 = -4*v for b. -5 Suppose 2*g + 1 = 3. Suppose h - 3 = -g. Solve 3*z - 1 = -2*u + 4*z, 0 = -3*u - 2*z - h for u. 0 Suppose 13*k = 11*k + 8. Let r be 1 + (3 - (-1 + k)). Solve 2*y = -n + r, -3*y + 28 = -2*y - 5*n for y. 3 Let y be 6/4 - 458/(-4). Let l be (y/6)/((-6)/9). Let o = l + 49. Solve 5*k + 2*i - 19 = i, -5*i = -o for k. 3 Let n = -138 + 142. Solve -n = o + 1, 5*k + 40 = -3*o for k. -5 Suppose -5*u - 1 = -46. Suppose 3*d - r = -u, -r + 9 = 2*r. Let t = 2 + d. Solve -s + 1 = 0, 5*q - 2*s = -t*s + 8 for q. 2 Let k be (-26)/(-10) - 4/(-10). Let i = 6 - -6. Let q be i/3 + (-2 - -1). Solve p + 3*j - 3 = 3, -q*p + k*j - 6 = 0 for p. 0 Let a = 51 - 48. Solve -2*j = 4*c - 30, 4*j + a = -3*c + 38 for j. 5 Suppose 5*x = h + 8, -3*x - 4*h = -8 - 6. Suppose n + 6 = -x*m + 2, 0 = 5*m + n + 7. Let j be (-3)/6*6*m. Solve 3*a = 3*l + 6, -4*l + a + 4 + j = 0 for l. 3 Let u be (8/3)/((-10)/(-15)). Solve -16 = -r - 4*m, -u = 3*r - 2*m + 18 for r. -4 Let u be 60/10 - (3 + 1). Solve -11 = q + 3*z, -2*q - 2*z + 4*z = -u for q. -2 Let y be -1*1*(-8 + 6). Suppose -c - 2*v = 0, y*v = -c - 3*c + 24. Suppose 2*s - c = -2*s. Solve 3*b = 5*b + 8, -4*b = -s*g + 16 for g. 0 Let q(w) = w**3 + 2*w + 4. Let b be q(0). Let o = 4 - 2. Solve -b*z - 32 = -2*s + 6*s, s - 1 = o*z for z. -3 Let j(w) = -3*w**3 - 3*w**2 - 3*w - 1. Let v be j(-1). Solve -u = -v*l - 0*u + 15, -35 = -5*l + 2*u for l. 5 Let r = 0 + 0. Suppose 2*w = -3*y + 12, r*y + 10 = 5*y. Solve -2*k - m + w*m = 0, -m = -4*k - 6 for k. -2 Let t(b) = b + 11. Suppose -4*k = 0, 5*k - 3 - 8 = n. Let f be t(n). Suppose x - 11 = -f*v - 3*v, -3*v = -9. Solve 4*j = -4*s + 32, -j - x*j + 21 = 2*s for j. 5 Let z be (-1)/3 + 7/3. Suppose -1 - 32 = -3*s. Solve -p + 4 - s = z*k, -2*k + p = 5 for k. -3 Suppose -g = -4*g + 45. Suppose 0 = 4*r - g - 9. Suppose 0 = -s + 7 + r. Solve -u = h + 3*h - 23, u - s = -2*h for h. 5 Let o = -21 - -29. Solve 20 = 5*t, t - o = 5*i - t for i. 0 Let q be (30/(-8))/3*-4. Suppose -5*b + 75 = -q*m, 3*m = -9 - 6. Suppose b + 2 = 4*a. Solve -5*w - a*c - 4 = 0, c = -3*w - 0*c for w. 1 Let i = -29 + 32. Solve -4*o - 4 = -2*p, 0 = i*o - 2*p + 3*p + 3 for o. -1 Let y be 2/11 + (-42)/(-11). Suppose -3*t + 3*k = -k + 2, y*t - 2*k - 4 = 0. Solve -m + 6 = -3*w, -2*m + 8 - 4 = t*w for w. -1 Let d be -4*(0 + 3/(-6)). Let v be ((-5)/(-2))/((-1)/(-2)). Let u be 8/36 + (-4)/18. Solve u = -5*n - i + d, -v*n + 4 = i + i for n. 0 Let b(f) = -3*f - 17. Let j be b(-7). Solve t = -3*t - j*y - 8, 0 = -5*t - 2*y - 7 for t. -1 Suppose 2*r = -d + 19, 0*r - 4*r - d = -41. Solve -3*g + 6 = -a - r, 0 = -2*g - 5*a for g. 5 Let v(n) = 3*n. Suppose 2*b = -4*y + 22, 2*b + 4 = y + 1. Let g be v(b). Solve -g*i - 14 = -i - 5*z, -5*i - 6 = 2*z for i. -2 Let u(k) = k + 5. Let b be u(0). Solve -5*t + 5 - 1 = -3*p, -4 = 3*t - b*p for t. 2 Let t(b) = b**3 - b**2 + 4. Let d be t(0). Solve -d*y - c = 2*c - 3, -3*y + 4*c + 21 = 0 for y. 3 Let o(p) = p**2 - 2*p - 3. Let t be o(3). Suppose t = -7*j + 4*j - 15, 3*l = -2*j - 1. Solve -b = 3*b + l*y - 6, -6 = -5*b - 3*y for b. 0 Let f(c) = -2*c + 6. Let z be f(-3). Suppose n = -p - 3, -7*n = -4*n - 4*p - z. Solve n*l - 3*g + 14 = -2*l, 5*l + 1 = -g for l. -1 Let s = -7 - -12. Suppose 8 = 2*h - p, 3*p = h + s + 1. Solve -h = -2*k + 3*a + 2, -3*a = -3*k + 6 for k. -2 Suppose -4 - 4 = -2*r. Let c be (1 - 5)/((-2)/17). Let b be (-1)/4 - c/(-8). Solve 6 = -3*x, -2*h = -r*h - b*x - 18 for h. -5 Suppose -3*m + 13 = 4. Solve 4*p - 20 = 0, 4*p - 19 = -m*s - 5 for s. -2 Let t(u) = u**2 - 4*u + 2. Let c be t(4). Suppose -c*a + 4*a = 8. Solve r - 3*z = -6, 0 = -2*r - a*z + 10 - 2 for r. 0 Let t(f) = 8*f**2 - 2*f - 2. Let r be t(-1). Let k be 4/r - (-7)/2. Solve -8 = -2*z + k*j, -z + 10 - 2 = -3*j for z. -4 Let s(v) = -v**3 - 10*v**2 + 12*v + 13. Let z be s(-11). Solve -2*q + 6*q = 4*u, z*q = -3*u for u. 0 Suppose 8*h + 4 = 3*r + 6*h, -2*r - 8 = 4*h. Solve r = -3*a - 5*m + 27, -3*m = 4*a - 2*a - 17 for a. 4 Let i(a) = -a - 1. Let j be i(-4). Suppose q + 14 = j*c, -3*c - q = -5*q - 29. Solve -2*f = -f - 3, 6 = -c*w - f for w. -3 Let u(d) = 2*d + 16. Let x be u(-7). Solve 4*m = -x*n - 4, 5*n - 2*m + 5*m - 11 = 0 for n. 4 Let s be ((-6)/5)/(12/30). Let a be (-1 - -2)*3*-1. Let o = a - s. Solve -5*j + 2 = 3*t, -3*j + 5 - 11 = o for t. 4 Let r be (-1)/(2/42)*-1. Let t be (-4)/14 + 90/r. Solve -2*j + j = 2*i, -i = -t*j + 9 for i. -1 Suppose 4*p = -2*z + 36, -5*p = -4*z - z - 45. Solve -2*l + 5*l +
{ "pile_set_name": "DM Mathematics" }
ative of q**5/24 + 5*q**4/9 - 20*q**3/9 - 160*q**2/3 - 2165*q. Factor g(y). 5*(y - 4)*(y + 4)*(y + 8)/6 Suppose -68693*d - 3*a - 2518 = -68698*d, 2118 = 4*d + 5*a. Factor d + 64/3*b + 2/9*b**2. 2*(b + 48)**2/9 Let b(d) be the first derivative of 4*d**5/5 + 68*d**4 - 1444*d**3/3 + 584*d**2 - 4512. Factor b(j). 4*j*(j - 4)*(j - 1)*(j + 73) Factor -102*j - 16*j**2 - 11*j**2 + 9*j**2 - 424 + 19*j**2. (j - 106)*(j + 4) Let d(o) be the third derivative of -9*o**6/40 - o**5/30 + 9*o**4/2 + 4*o**3/3 + 999*o**2. Suppose d(z) = 0. What is z? -2, -2/27, 2 Let m(p) = -p**3 - 632*p**2 - 16843*p + 17411. Let s(b) = 315*b**2 + 8421*b - 8697. Let c(g) = 3*m(g) + 5*s(g). Factor c(u). -3*(u - 1)*(u + 54)**2 Let y(g) be the third derivative of g**5/300 + 52*g**4/3 + 108160*g**3/3 + 2631*g**2. Solve y(s) = 0. -1040 Let m(a) be the first derivative of -30/11*a**4 - 2/55*a**5 + 0*a + 177 - 8000/11*a**2 - 800/11*a**3. Factor m(x). -2*x*(x + 20)**3/11 Let h be -7*112 - (-77)/11. Let d = -772 - h. Solve -1/3*u**3 - 1/6 + 1/3*u**2 - 1/6*u**4 + 1/6*u + 1/6*u**d = 0. -1, 1 Let s be 308/847*(-627)/(-912). Let j(r) = r. Let d be j(3). Factor -x**d + s*x**4 + 3/2*x**2 + 1/4 - x. (x - 1)**4/4 Suppose -5*n - 10 = -4*b - 59, 3*n = -3*b - 3. Let h be -1 - (-3)/(-2)*b. Solve -h*m**3 + 69 + 70 + 4*m**2 - 145 + 8*m + 2*m**4 = 0 for m. -1, 1, 3 Let l(r) = r**4 + 67*r**3 + 135*r**2 - 25*r - 143. Let s(k) = -k**4 - 64*k**3 - 134*k**2 + 28*k + 141. Let a(m) = 6*l(m) + 7*s(m). Find t such that a(t) = 0. -43, -3, -1, 1 Let w(h) be the first derivative of -8*h**2 - 4/9*h**3 - 13 - 1/90*h**5 + 0*h + 1/9*h**4. Let c(i) be the second derivative of w(i). What is g in c(g) = 0? 2 Let u(n) be the first derivative of -n**5/35 + 5*n**4/4 - 200*n**3/21 - 1000*n**2/7 + 4463. Let u(q) = 0. What is q? -5, 0, 20 Suppose 1512 = 28*i - 560. Suppose -36*t = t - i. Factor 0*w**3 + 5/2*w + 0 + 5*w**4 - 5/2*w**5 - 5*w**t. -5*w*(w - 1)**3*(w + 1)/2 Let 189/4*g**2 + 0 + 0*g + 183/4*g**3 - 9/4*g**4 - 3/4*g**5 = 0. What is g? -9, -1, 0, 7 Find a, given that -1755828*a - 12/5*a**3 + 20524/5*a**2 + 584820 = 0. 1/3, 855 Let m be (80/10 + -20)*2/(-8). Factor 60*o**m + 4*o**4 + 12*o**2 + 15*o**2 - 9*o**4 - 4*o**4 - 42*o. -3*o*(o - 7)*(o + 1)*(3*o - 2) Suppose 0 = -4984*h + 5124*h. Let n be (-4)/14 - 6/(-21). Factor n*u + 0 - 2/13*u**3 + h*u**2 - 2/13*u**4. -2*u**3*(u + 1)/13 Let p(h) be the first derivative of -1/18*h**4 - 14*h - 14 - 4/3*h**3 - 12*h**2. Let l(d) be the first derivative of p(d). Factor l(a). -2*(a + 6)**2/3 Let h = 143/2 - 70. Suppose 3*z + 3*i = 129, -158*i = -4*z - 156*i + 58. Factor -h*w**2 + z*w - 96. -3*(w - 8)**2/2 Let z be 12/(-18)*21/(-1). Factor -3 + 3 - 1557*g**4 + 1559*g**4 + z*g**3. 2*g**3*(g + 7) Suppose -3*s + 115 = 79. Solve 104*l**4 - 9*l + s*l**3 - l**2 - 3*l**5 - 197*l**4 - 5*l**2 + 99*l**4 = 0 for l. -1, 0, 1, 3 Let o(x) = x**3 + 7*x**2 + 7*x + 1. Let r be o(-5). Find u, given that -252*u + 73*u**3 - 22*u**3 + 3*u**5 + 216 + 7*u**2 - 8*u**4 - r*u**4 + 35*u**2 = 0. -2, 2, 3 Let w be (24/20)/((-6)/(-50) - 0). Suppose w*i - 62 = -32. What is s in 16/3*s**i + 0 - 8/5*s**2 + 0*s + 14/15*s**4 = 0? -6, 0, 2/7 Find i such that 928/9*i**2 - 536/9 - 226/3*i + 94/3*i**3 + 4/9*i**4 = 0. -67, -4, -1/2, 1 Suppose 3*b + 3*i = -3, -2*i = -4*b - 0*i + 26. Suppose -r + b = r. Determine j so that 2*j**2 + r - 10*j + 15 - 5 = 0. 2, 3 Suppose 3*n + 3*y - 3 = 0, -3*y + 0*y + 3 = 4*n. Suppose n = -2*d - 0*d + 10. Solve -g**4 - 4*g**2 - 2*g**3 + d*g**4 + 3*g**5 - g**5 = 0 for g. -2, -1, 0, 1 Factor 214326 - 1134*q + 3/2*q**2. 3*(q - 378)**2/2 Let o(l) be the third derivative of -l**9/60480 + l**8/5040 - l**7/1260 + l**5/15 - 25*l**3/6 - 83*l**2. Let c(y) be the third derivative of o(y). Factor c(z). -z*(z - 2)**2 Let z(g) be the first derivative of g**4/2 + 664*g**3/3 + 27556*g**2 + 1131. Suppose z(k) = 0. Calculate k. -166, 0 Suppose 2*s + 3*o = 0, 20*o - 22*o = 4*s - 8. Find u, given that 12 - 2*u**4 + 14*u**5 + 25*u**5 + 26*u - 2*u**4 - 12*u**s + 21*u**5 - 58*u**5 + 8*u**2 = 0. -1, 2, 3 Let y(m) be the second derivative of m**6/72 - 5*m**5/24 - 14*m**3/3 - 5*m. Let u(r) be the second derivative of y(r). Suppose u(i) = 0. What is i? 0, 5 Find z, given that 1/5*z**4 + 3*z**2 + 0 - 9/5*z**3 - 7/5*z = 0. 0, 1, 7 Let k be -3 + 329/(-81) + 7. Let f = 49/81 - k. Factor -4/3*b - 2/3*b**4 + 0 + 4/3*b**3 + f*b**2. -2*b*(b - 2)*(b - 1)*(b + 1)/3 Suppose 0 - 2/5*a**3 + 298/5*a + 296/5*a**2 = 0. Calculate a. -1, 0, 149 Let j(u) = -5*u**4 + u**3 - 6*u**2 + 8. Let y(q) = -18*q**4 - 17*q**4 + 2 + 34*q**4 - 2*q**3 + q**3. Let t(l) = -j(l) + 4*y(l). Let t(x) = 0. What is x? 0, 2, 3 Let r be 244/182 - (-2730)/(-3549). Factor 120/7*f**2 + 6*f**3 + r*f**4 + 0 + 50/7*f. 2*f*(f + 5)**2*(2*f + 1)/7 Let u = 371/565 + -258/565. Factor u*x**2 - 9/5*x + 14/5. (x - 7)*(x - 2)/5 Let l(h) be the first derivative of h**8/672 - 2*h**7/105 + 13*h**6/240 - h**5/20 + h**2/2 + 10*h + 103. Let u(w) be the second derivative of l(w). Factor u(r). r**2*(r - 6)*(r - 1)**2/2 Let n(z) be the second derivative of -2/3*z**3 + 2/15*z**6 - 8*z + z**4 - 3/5*z**5 + 0 + 0*z**2. Factor n(q). 4*q*(q - 1)**3 Find i such that -236*i**3 - 6190*i**2 + 12373*i**2 - 6191*i**2 = 0. -2/59, 0 Suppose -q = -2*k + 15, 0 = -4*k - 1417*q + 1414*q - 25. Let g = 3/2 + -29/22. Factor -14/11*u + g*u**3 - 8/11 - 4/11*u**k. 2*(u - 4)*(u + 1)**2/11 Let k(u) be the third derivative of -u**5/240 + u**4/6 + 99*u**3/8 + 1933*u**2. Factor k(l). -(l - 27)*(l + 11)/4 Let z(m) be the third derivative of 1/240*m**6 - 1/12*m**4 + 1/3*m**3 - 1/120*m**5 + 2*m + 0 + 29*m**2. What is t in z(t) = 0? -2, 1, 2 Suppose 3*z = -4*p + 3612, -42*p + 15 = -37*p. Let u = 4801/4 - z. Find t such that 0 - 3/4*t**3 + u*t**4 - 5/4*t - 9/4*t**2 = 0. -1, 0, 5 Suppose -85 = -11*x - 19. Suppose w - 6 = x. Find u such that 7 - 7 + w*u**3 + 15*u**2 + 3*u**4 + 6*u = 0. -2, -1, 0 Let o = 1913 - 1910. Let w(i) be the third derivative of 0*i + 9/2*i**o + 4*i**2 + 3/4*i**4 + 0 + 1/20*i**5. Factor w(t). 3*(t + 3)**2 Let y(w) be the first derivative of 0*w - 1/6*w**4 - 19 - 4/15*w**5 - 4*w**2 + 1/10*w**6 + 4/3*w**3. Let o(a) be the second derivative of y(a). Factor o(j). 4*(j - 1)**2*(3*j + 2) Determine n so that -31 + 2256*n**3 + 230*n**3 + 62*n**3 - 5400*n**2 + 1440*n - 97 + 4202*n**3 = 0. 4/15 Let n(w) be the second derivative of w**5/35 + 2*w**4/21 - 8*w**3 - 720*w**2/7 - 1625*w. Factor n(o). 4*(o - 10)*(o + 6)**2/7 Let t(k) be the first derivative of 5*k**4/8 + 3245*k**3/6 + 6475*k**2/4 + 3235*k/2 + 1607. Find s, given that t(s) = 0. -647, -1 Let m(s) be the first derivative of -75*s**4/8 - 87*s**3/2 - 129*s**2/2 - 36*s - 1659. Determine p, given that m(p) = 0. -2, -1, -12/25 Suppose 220 = 122*m - 29 - 117. Suppose 2/13*v**m - 8/13*v - 2/13*v**2 + 8/13 = 0. What is v? -2, 1, 2 Factor -228 + 14/5*s**2 - 3986/5*s. 2*(s - 285)*(7*s + 2)/5 Let l(d) be the second derivative of 3*d**5/5 + 61*d**4/9 - 820*d**3/9 + 176*d**2/3 - 2878*d. Determine i, given that l(i) = 0. -11, 2/9, 4 Suppose -2*r + 7 = -3. Factor 24*m**2 - 15*m**5 + 16*m + 3*m - 32*m**3 - 24*m**4 + 9*m + 19*m**r. 4*m*(m - 7)*(m - 1)*(m + 1)**2 What is o in 1764*o + 685*o**2 + 59*o**3 - 61*o**2 + 2*o**3 + o**4 = 0? -49, -6, 0 Let r(o) be the second derivative of -5/24*o**4 + 0 + 13/6*o**3 + 31*o + 1/12*o**5 + 0*o**2 - 1/72*o**6. Let v(s) be the second derivative of r(s). Factor v(y). -5*(y - 1)**2 Let j(v) be the first derivative of 5*v**4/4 - 10*v**3 - 75*v**2/2 - 40*v + 732. Solve j(n) = 0. -1, 8 Let v(o) be the third derivative of o**8/588 - o**7/147 - 2*o**6/105 + 17*o**5/210 - o**4/14 - 2296*o**2. Let v(x) = 0. Calculate x. -2, 0, 1/2, 1, 3 Solve 33/4*p**3 + 0 - 63*p**2 + p**4 - 65/4*p = 0. -13, -1/4, 0, 5 Suppose -7*d = 4 - 32. Factor 20734*l - d - 20680*l - 2*l**2 + 4. -2*l*(l - 27) Suppose -1364*t + 398*t = -3395 + 497. Factor 3/2*p**2 + 3 + 3/2*p**t - 11/2*p - 1/2*p**4. -(p - 3)*(p - 1)**2*(p + 2)/2 Factor -392*l - 2/3*l**4 + 0 + 238/3*l**2 + 4/3*l**3. -2*l*(l - 7)**2*(l + 12)/3 Let j(t) = -37*t + 67. Let k be j(2). Let z(g) = -29*g**2 - 31*g + 24. Let o(l) = -33*l**2 - 32*l + 23. Let i(v) = k*z(v) + 6*o(v). Factor i(x). 5*(x - 1)*(x + 6) Let p(i) be the third derivative of -i**7/1155 - i**6/330 + 4*i**5/55 + 2848*i**2. Factor p(v). -2*v*
{ "pile_set_name": "DM Mathematics" }
er when 1369 is divided by 29? 6 What is the remainder when 954 is divided by 137? 132 What is the remainder when 1287 is divided by 107? 3 What is the remainder when 90 is divided by 16? 10 What is the remainder when 96 is divided by 34? 28 What is the remainder when 125 is divided by 37? 14 What is the remainder when 88 is divided by 28? 4 Calculate the remainder when 194 is divided by 14. 12 What is the remainder when 3246 is divided by 112? 110 Calculate the remainder when 107 is divided by 98. 9 What is the remainder when 2770 is divided by 547? 35 Calculate the remainder when 4417 is divided by 26. 23 Calculate the remainder when 7715 is divided by 35. 15 What is the remainder when 651 is divided by 139? 95 What is the remainder when 67 is divided by 14? 11 What is the remainder when 111 is divided by 23? 19 What is the remainder when 1702 is divided by 53? 6 Calculate the remainder when 7126 is divided by 27. 25 What is the remainder when 409 is divided by 102? 1 Calculate the remainder when 7653 is divided by 207. 201 Calculate the remainder when 1554 is divided by 377. 46 What is the remainder when 694 is divided by 339? 16 What is the remainder when 386 is divided by 203? 183 Calculate the remainder when 65 is divided by 35. 30 Calculate the remainder when 263 is divided by 66. 65 What is the remainder when 196 is divided by 33? 31 What is the remainder when 948 is divided by 10? 8 What is the remainder when 245 is divided by 82? 81 Calculate the remainder when 448 is divided by 33. 19 Calculate the remainder when 1892 is divided by 33. 11 What is the remainder when 110 is divided by 56? 54 What is the remainder when 43 is divided by 16? 11 What is the remainder when 118 is divided by 34? 16 Calculate the remainder when 2466 is divided by 27. 9 What is the remainder when 802 is divided by 31? 27 Calculate the remainder when 87 is divided by 10. 7 What is the remainder when 1745 is divided by 432? 17 What is the remainder when 37 is divided by 21? 16 Calculate the remainder when 72 is divided by 29. 14 What is the remainder when 2595 is divided by 173? 0 What is the remainder when 152 is divided by 18? 8 What is the remainder when 77 is divided by 28? 21 Calculate the remainder when 472 is divided by 28. 24 What is the remainder when 5432 is divided by 247? 245 Calculate the remainder when 497 is divided by 136. 89 Calculate the remainder when 790 is divided by 7. 6 Calculate the remainder when 48 is divided by 19. 10 What is the remainder when 1159 is divided by 73? 64 What is the remainder when 1253 is divided by 318? 299 Calculate the remainder when 79 is divided by 67. 12 Calculate the remainder when 1244 is divided by 205. 14 What is the remainder when 221 is divided by 115? 106 What is the remainder when 157 is divided by 8? 5 What is the remainder when 199 is divided by 26? 17 Calculate the remainder when 1688 is divided by 200. 88 What is the remainder when 5112 is divided by 566? 18 What is the remainder when 423 is divided by 33? 27 What is the remainder when 1245 is divided by 13? 10 Calculate the remainder when 2879 is divided by 80. 79 What is the remainder when 4 is divided by 4? 0 Calculate the remainder when 354 is divided by 40. 34 What is the remainder when 215 is divided by 31? 29 Calculate the remainder when 38 is divided by 13. 12 Calculate the remainder when 774 is divided by 79. 63 Calculate the remainder when 32 is divided by 11. 10 Calculate the remainder when 384 is divided by 117. 33 Calculate the remainder when 495 is divided by 169. 157 What is the remainder when 1507 is divided by 502? 1 What is the remainder when 374 is divided by 95? 89 Calculate the remainder when 5460 is divided by 496. 4 What is the remainder when 662 is divided by 10? 2 Calculate the remainder when 1008 is divided by 126. 0 What is the remainder when 346 is divided by 18? 4 Calculate the remainder when 1034 is divided by 30. 14 Calculate the remainder when 35 is divided by 8. 3 Calculate the remainder when 32 is divided by 11. 10 What is the remainder when 7442 is divided by 240? 2 Calculate the remainder when 138 is divided by 35. 33 Calculate the remainder when 737 is divided by 35. 2 Calculate the remainder when 3231 is divided by 40. 31 Calculate the remainder when 611 is divided by 316. 295 Calculate the remainder when 56 is divided by 2. 0 Calculate the remainder when 491 is divided by 15. 11 What is the remainder when 1402 is divided by 64? 58 What is the remainder when 1317 is divided by 44? 41 Calculate the remainder when 61 is divided by 57. 4 Calculate the remainder when 1497 is divided by 6. 3 What is the remainder when 4835 is divided by 7? 5 What is the remainder when 81 is divided by 29? 23 Calculate the remainder when 193 is divided by 33. 28 What is the remainder when 2657 is divided by 11? 6 What is the remainder when 347 is divided by 25? 22 What is the remainder when 697 is divided by 14? 11 What is the remainder when 1271 is divided by 37? 13 What is the remainder when 202 is divided by 57? 31 What is the remainder when 66054 is divided by 23? 21 What is the remainder when 286 is divided by 58? 54 What is the remainder when 146 is divided by 38? 32 What is the remainder when 760 is divided by 46? 24 What is the remainder when 2543 is divided by 159? 158 What is the remainder when 4004 is divided by 399? 14 What is the remainder when 514 is divided by 75? 64 Calculate the remainder when 7898 is divided by 10. 8 Calculate the remainder when 467 is divided by 96. 83 What is the remainder when 1466 is divided by 14? 10 Calculate the remainder when 177 is divided by 15. 12 Calculate the remainder when 964 is divided by 21. 19 Calculate the remainder when 5564 is divided by 24. 20 What is the remainder when 17357 is divided by 263? 262 What is the remainder when 977 is divided by 10? 7 Calculate the remainder when 436 is divided by 23. 22 What is the remainder when 1690 is divided by 558? 16 Calculate the remainder when 10 is divided by 2. 0 What is the remainder when 40 is divided by 28? 12 Calculate the remainder when 790 is divided by 153. 25 What is the remainder when 487 is divided by 43? 14 Calculate the remainder when 648 is divided by 15. 3 Calculate the remainder when 9543 is divided by 111. 108 What is the remainder when 2999 is divided by 79? 76 What is the remainder when 107545 is divided by 11? 9 What is the remainder when 8056 is divided by 79? 77 Calculate the remainder when 169 is divided by 159. 10 Calculate the remainder when 2988 is divided by 26. 24 What is the remainder when 40 is divided by 38? 2 What is the remainder when 34 is divided by 15? 4 Calculate the remainder when 495 is divided by 119. 19 Calculate the remainder when 333 is divided by 6. 3 What is the remainder when 569 is divided by 14? 9 What is the remainder when 69 is divided by 7? 6 Calculate the remainder when 727 is divided by 17. 13 Calculate the remainder when 877 is divided by 120. 37 Calculate the remainder when 295 is divided by 27. 25 Calculate the remainder when 182 is divided by 31. 27 Calculate the remainder when 722 is divided by 91. 85 Calculate the remainder when 1230 is divided by 77. 75 Calculate the remainder when 4267 is divided by 35. 32 Calculate the remainder when 1445 is divided by 182. 171 Calculate the remainder when 8895 is divided by 89. 84 What is the remainder when 109 is divided by 19? 14 Calculate the remainder when 152 is divided by 32. 24 Calculate the remainder when 218 is divided by 73. 72 Calculate the remainder when 1075 is divided by 23. 17 Calculate the remainder when 794 is divided by 15. 14 Calculate the remainder when 69 is divided by 38. 31 What is the remainder when 141 is divided by 18? 15 What is the remainder when 196 is divided by 110? 86 What is the remainder when 4 is divided by 4? 0 Calculate the remainder when 19 is divided by 10. 9 Calculate the remainder when 245 is divided by 99. 47 Calculate the remainder when 202 is divided by 16. 10 What is the remainder when 401 is divided by 103? 92 What is the remainder when 3947 is divided by 172? 163 What is the remainder when 286 is divided by 24? 22 Calculate the remainder when 206 is divided by 33. 8 What is the remainder when 3
{ "pile_set_name": "DM Mathematics" }
**3 - 26*d**2 Expand 2*o**4 - 3*o**4 + 2*o**4 + (-14*o - 17*o**3 + 14*o)*(4*o - 2*o - o) + (2*o - 3*o + 4*o)*(-3*o**2 + 2*o**2 - o**2)*(4*o + 0*o - o). -34*o**4 Expand -q + q + q + 2*q + 2*q - 6*q + (0 + 2 + 0)*(-51 + 51 + 8*q). 15*q Expand (-2 + 0 + 1)*(231*b + 64 - 64)*(b**4 + 0*b**4 + b**4). -462*b**5 Expand (1 - 1 + 3)*(0*g + 0*g - 2*g) - 5*g + g + 2*g + 10 - 11 - g - 4 + (0 - 1 - 1)*(2 + g - 2). -11*g - 5 Expand 10*i + 38*i + 8*i + 3*i + (-3 + 5 - 1)*(-8*i + 101 - 101). 51*i Expand (x - 8*x + 0*x)*(3 + 7 - 5)*(-1 + 3 - 3). 35*x Expand (-3*c**4 + 0*c**4 + c**4)*(-1616 - 203 - 2370). 8378*c**4 Expand 23 - 23 - c + (1 + 1 + 5)*(-c - 5*c + 5*c). -8*c Expand (r + 0*r + 2*r)*(1 - 3 + 1)*(47*r - 121 + 121 + 2*r - 2*r + r + (-2*r + 4*r + 0*r)*(4 - 4 - 1) + 2 - 2 + 2*r + 0*r - 3*r + r). -138*r**2 Expand (-k + k + 3*k)*(126*k - 126*k + 44 - 2*k**2). -6*k**3 + 132*k Expand ((2 - 2 + v)*(0 + v + 0) + (13*v + 62 - 62)*(-2*v - 4*v + 5*v))*(-4*v - v + 2*v). 36*v**3 Expand -4*u - u + 4*u + (-u + u + 2*u)*(3 + 5 - 13) + (-2 + 0 + 0)*(u + u - 3*u). -9*u Expand (f**2 - f - 4*f**2 + f**2)*(-f + 4*f + 14 - 58). -6*f**3 + 85*f**2 + 44*f Expand (24*c + 64*c - 143*c)*(3*c - 5*c + c)*(-6*c + 4*c + c + (0 + 1 + 0)*(3*c + 3*c - 3*c)). 110*c**3 Expand a + 2*a + 0*a - 1 + (a + 4*a - 3*a)*(-9 + 24 - 11). 11*a - 1 Expand (-4 + 1 + 1 + (1 - 1 - 2)*(-1 - 1 - 1))*(3*x + x - 2*x). 8*x Expand (-2*n**4 + n - n)*(n - n + n) + (-2*n**5 + n**3 - n**3)*(92 + 63 + 82). -476*n**5 Expand (-1946*i + 1945*i + 3*i**2 + 8*i**2)*(14*i**2 - 12*i**2 - 12*i**2). -110*i**4 + 10*i**3 Expand (4 - 1 - 4)*(1 + 13 - 1)*(-4*v + 5*v - 2*v)*(1 - 4 + 0)*(2*v**2 - 6*v**2 + 2*v**2). 78*v**3 Expand (4*b - b - 2*b)*(2*b**3 - b**3 + 0*b**3) + 20*b**4 - 16*b**4 + 30*b**4 - 4*b**4 + 13*b**3 - 13*b**3. 31*b**4 Expand (33 + 24 - 3)*(-i**2 + 5 - 5). -54*i**2 Expand (3*f + 2*f - 3*f)*(2*f - 1 + 1) - 2*f**2 - 3*f + 3*f + f - f**2 - f + 218 - 218 + 50*f**2 + (0 + 2 - 3)*(3 - 3 - 2*f**2). 53*f**2 Expand 27*u**3 + 46*u**3 - 108*u**3 + 2 - 2 + 2*u**3 + (-u + 0*u + 3*u)*(0*u + 2*u**2 + 0*u) - 3*u**3 + u**3 + u**3. -30*u**3 Expand (1 - 203*n + 1 + 106*n)*(-6*n**3 + 2*n**3 + 3*n**3). 97*n**4 - 2*n**3 Expand (-g**2 + 4*g**2 - 2*g**2)*(-2*g**3 + 3 - 3) - 720*g**2 - 2*g**4 + 719*g**2 + 7*g**5 - 47*g**5. -42*g**5 - 2*g**4 - g**2 Expand (3*x + x - 3*x)*(-1 - 3 + 2)*(8 - 8 - 57*x)*(2 + 0 - 1). 114*x**2 Expand -2*q**3 - q**3 - 3*q**3 + (-2*q**2 - 2*q**2 + 3*q**2)*(-21 + 21 - 8*q) + 0*q - 2*q**3 + 0*q - 3*q**3 + 2*q**3 + 0*q**3. -q**3 Expand (-l**2 - 1 + 1)*(-l**3 + 2*l**3 + 2*l**3) + (3*l**2 + 0*l**2 + 0*l**2)*(-5*l + 3*l - 2*l)*(4*l**2 + l**2 - 6*l**2). 9*l**5 Expand 16*z**2 + 4*z**3 - 16*z**2 + (z - z - 2*z)*(z**2 - 3*z**2 + z**2). 6*z**3 Expand (2*x + 4 - 4)*(-4*x**2 + x**2 + 2*x**2) - 1 - x**3 + 1 + (0 - x**2 + 0)*(636*x - 264*x + 731*x). -1106*x**3 Expand (-l - 1 + 1)*(-3*l**2 + 3*l**2 - 3*l**3)*(-2 - 3*l + 2) + 10*l**5 + 1742*l**2 - 1742*l**2 - 6*l. l**5 - 6*l Expand (3 - 3 - 3)*(-1015*q + 73 + 1086*q - 74). -213*q + 3 Expand (-22*r**2 + 19*r**2 - 28*r**2)*(1 - 1 + 2)*(-4*r**2 + 2*r**2 - r**2). 186*r**4 Expand (-4*b + b**2 + 4*b)*(-96 - 4*b + 3 + 35). -4*b**3 - 58*b**2 Expand (2*o + 3*o**3 - 4*o - 10 - 5*o**3)*(-4 + 8 + 0)*(-2*o**2 - 5*o**2 + 0*o**2). 56*o**5 + 56*o**3 + 280*o**2 Expand (-4 + 4 - c**4)*(-55 + 24 - 219*c + 29). 219*c**5 + 2*c**4 Expand (-j + j + 2*j + (-3 + 7 - 3)*(-3 + j + 3) + (-3 + 3 - 2*j)*(-3 + 5 - 1))*(15595 - 659*j - 15595). -659*j**2 Expand (2*d**3 + 0*d**3 + 73*d**2 - 23*d**4 - 74*d**2)*((d - 4*d + 4*d)*(-2 + 3 + 0) - 4 + 4 - 3*d). 46*d**5 - 4*d**4 + 2*d**3 Expand 2*i**5 - 2*i + 2*i + (3*i**3 - 2*i**3 + 2*i**3)*(-114 + 34*i**2 + 11*i**2 - 48*i**2). -7*i**5 - 342*i**3 Expand (-5*m**2 - 3*m**2 + 3*m**2)*(2*m**3 - 2*m**3 + 7*m**3) + (5 + 0 - 2)*(-2*m**5 - 3*m**5 + 3*m**5). -41*m**5 Expand (1 + 2*i - 1)*(39 + 63 + 182). 568*i Expand (3*a**2 - 3*a**2 + 5*a**2 + (3*a**2 - 2*a**2 - 3*a**2)*(-5 + 4 - 1))*(-2*a + 2*a - a)*(31 - 31 - 9*a). 81*a**4 Expand ((3 - 1 + 0)*(0 - 4 + 3) + 0 - 2 + 0)*(-3*j - j + 3*j) - 14 + 3*j + 14. 7*j Expand (3*m**4 - 2*m**4 - 4*m**4)*(4*m - 3*m - 3*m) + (-3*m + 2*m - 6*m)*(m - m - m**4). 13*m**5 Expand (-119 + 109 - 2*k - 390)*(-1 + 0 + 0)*(1 - 6 + 3). -4*k - 800 Expand (-543 + 543 - v - v**2)*(-1 + 1 - 2*v**3) - 2*v**5 - v**5 + 4*v**5. 3*v**5 + 2*v**4 Expand (0*r - r**2 + 0*r)*(2*r + 2*r - 3*r) + 0*r**3 + 2*r**3 + 2*r**3 + 20*r**3 + 13*r**3 - 32*r**3 + r. 4*r**3 + r Expand -1530*l + l**4 + 60*l**3 + 1528*l - 3 + 1 + (-l**3 + 2*l**3 - 3*l**3)*(2*l - 2*l - 2*l). 5*l**4 + 60*l**3 - 2*l - 2 Expand 5*l**5 - 7*l**3 + 7*l**3 + (0*l**2 + 4*l**2 - 2*l**2)*(-6*l**2 - 9*l**2 + 14*l**2)*(-3*l - l + 3*l). 7*l**5 Expand (2*p**2 - 2*p**2 - p**2)*(0 - 3 + 2) - 5*p**2 + 3*p**2 + 3*p**2 + (-5*p + 4*p + 5*p)*(-2*p - 4*p + 5*p). -2*p**2 Expand -16*q**4 + 80*q**3 - 2*q**2 - 80*q**3 - q**2 + q**2 + q**4 - q**2 - 2*q**4 + q**2 + (-q**3 + q**3 - q**3)*(1 - 1 + 2*q). -19*q**4 - 2*q**2 Expand ((1 - 3 + 1)*(2 + 1 - 2) - 2 + 20 - 185)*(-a**4 + a**4 - a**4). 168*a**4 Expand 2 - 2 - 3*z + (5 + 0 - 4)*(-2*z + z + 3*z) - 1 + 1 + z - 52*z - 25 + 25. -52*z Expand (-265 - 123 + 729 + 838 + 301)*(-3*a - a - a). -7400*a Expand (-1053 + 9*f**2 + 1053)*(3*f + 3*f - 3*f - 2)*(-1 + 4 + 5 + (-5 + 3 + 4)*(1 - 4 + 1)). 108*f**3 - 72*f**2 Expand (-2*o + 2*o + 2*o**5)*(2 - 5 + 1 + 4 - 2 + 0 + (2 - 5 + 2)*(3 - 2 + 1) - 14 - 118 - 35). -338*o**5 Expand (-5*k**2 - 3*k**2 + 3*k**2 - 6*k**2 - 2*k**2 + 3*k**2 + (-3 - 3*k**2 + 3)*(4 - 2 - 1))*(5*k**3 + 0*k**3 - 3*k**3). -26*k**5 Expand (4*p - 6*p - 1 - 3)*(33*p**2 - 783 + 783). -66*p**3 - 132*p**2 Expand (-178*u + 37934 - 37934)*(-4 + 5*u**2 + 4). -890*u**3 Expand (2 - i - 1 - 4)*(-1 - 1 + 1 + (-1 + 1 + 1)*(1 - 2 - 2) - 1 - 4 + 3). 6*i + 18 Expand (-v**2 + 4*v**2 + 0*v**2)*(4*v**2 - 13*v**3 - 2*v**3 + 19*v**3). 12*v**5 + 12*v**4 Expand 0 + 8*c + 0 + ((3*c - 2*c - 2*c)*(2 - 7 + 3) - c + 0*c + 3*c + (-c - 3*c + c)*(-1 - 1 + 4))*(4 - 3 + 0). 6*c Expand j**4 + 2*j**4 - 5*j**4 + (j - 1 + 1)*(0 - 2*j**3 + 0) - 17*j**4 - 4*j**4 - 4*j**4 + (13*j - 13*j - j**4)*(-2 + 0 + 4). -31*j**4 Expand (-3*d + 2*d + 2*d)*(131 + 21 + 512). 664*d Expand 0*w**2 + 2*w**2 - 4*w**2 + (-26*w - 31*w + 17*w)*(-4*w + w + 4*w). -42*w**2 Expand (3 - 3 - 2)*(4*m + 0*m - m - 29*m - 8*m - m + (2*m - 2*m + 2*m)*(0 - 4 + 2) + m - 4*m + m). 82*m Expand 2*p + 11 - p - 12 + (4 - 3 + 1)*(1 - p - 1) + 14*p - p + 2*p. 14*p - 1 Expand ((2*z + 0*z - 4*z)*(-1 + 3 - 1) - 47 + 16*z + 47)*(2 + 18 + 16)*(-z**2 - 2*z**2 + 5*z**2). 1008*z**3 Expand (-3*z**3 + 3*z**3 + z**3)*(-157 + 82 + 77 - 25*z). -25*z**4 + 2*z**3 Expand (-1 - 22 - 3)*(-2 - 4 + 5)*(3 + y - 3)*(-y**2 + 6*y - 6*y). -26*y**3 Expand 2*h**5 + 147*h - 147*h + 33*h**3 + (-h + 0 + 0)*(h - h + 2*h**4) - 3*h**3 + 3*h**3 + h**5 + 3*h**5 + 5*h**5 - 6*h**5 + 2*h**5 - 2*h + 2*h. 5*h**5 + 33*h**3 Expand (-2*q + 5*q + 4*q)*(-9 - 4 + 9) - q + 6*q - 3*q. -26*q Expand (123 + 37 - 65)*(1 + 1 + 0)*(-4 + 4 + z). 190*z Expand (-i**2 - 3*i**2 + 2*i**2)*(-i**3 + 2*i**3 + 3*i**3) - 3*i**5 - i**5 + 2*i**5 + 10*i**5 - 5*i**5 + 3*i**5. -2*i**5 Expand 2*j**5 + 0*j**5 - 3*j**5 + (-j**3 + 2*j - 2*j)*(-3 + 3 + 2*j**2) + (41*j - 5 - 44*j - 9)*(-3*j**4 + 0*j**4 + 2*j**4) - j - 4*j**5 + j. -4*j**5 + 14*j**4 Expand 5*t**2 + 0*t - 2*t + 15*t + (2*t - 6*t + 2*t)*(-3*t - 3*t + 5*t) + 2 - 2 + t**2 + 11*t**2 + 14*t**2 + 0*t**2. 33*t**2 + 13*t Expand (-1 - v**3 - 2*v**3 + 0*v**3)*(5 - 3 - 4)*(-4*v + 0*v + 2*v). -12*v**4 - 4*v Expand ((-3 + 3 - 2)*(3*c - 4*c - c) + (2*c - 3*c + 3*c)*(4 + 1 + 3) + 7*c - 2*c - 3*c)*(0 + 0 + 2)*(3*c + c - 2*c). 88*c**2 Expand (5 - 3 + 1)*(y**4 + 5 - 2019*y**2 + 2019*y**2 + y**3). 3*y**4 + 3*y**3 + 15 Expand ((-2*r - 1 + 1)*(-3 + 1 + 0) + 5 - r - 5)*(45*r + 45 - 45). 135*r**2 Expand -3*a + 0*a + 5*a - 2 - 2*a + 2 + (-2 + 2*a + 2)*(0 - 3 + 2) + 3 - 3 - a + a + 2*a - a + (3 + 0 - 1)*(2*a - 2*a - a) + 4 - 4 + a - 3*a - 2*a + 4*a. -3*a Expand (2*c - c**5 - 2*c)*(-629 - 1435 - 1332 + 369). 3027*c**5 Expand (2*c**2 + 3*c**2 - 3*c**2)*(-2*c - 2*c + 6*c) + (2*c**2 - 5*c**2 - c**2)*(47*c - 19*c + 6*c). -132*c**3 Expand (-8*n**3 - 4*n**3 + 4*n**3)*(2*n + 0*n - 3*n)*(-15 - 16 + 36). 40*n**4 Expand (j**2 - 4*j**2 + j**2)*(0*j - j + 0*j) - j**3 + 0*j**3 + 0*j**3 - 5*j**3 - 11*j**3
{ "pile_set_name": "DM Mathematics" }
w - 26. Let p(d) = 8*h(d) + 3*m(d). Let i(a) = -11*k(a) + 2*p(a). Differentiate i(u) wrt u. -2 Let n = 29 - 16. Suppose -2*b - 5 = -n. What is the third derivative of -3*m**b + 2 - m**2 - 2 wrt m? -72*m Let g(r) = -r**2 - 8*r - 10. Let v be g(-7). Let d = v + 8. What is the second derivative of d*w**2 - 5*w**2 - 3*w**5 + 2*w wrt w? -60*w**3 Let d(j) be the first derivative of j**3 + 0*j**2 - 1/2*j**4 + 0*j + 2. Find the third derivative of d(y) wrt y. -12 Let a = 1 - -7. Let m(i) = 2*i - 12. Let v be m(a). What is the third derivative of -4*n**4 + 3*n**v - 4*n**2 + 3*n**2 wrt n? -24*n Let f(v) be the second derivative of 13*v**7/42 - 5*v**4/6 - 22*v. What is the third derivative of f(c) wrt c? 780*c**2 Let n = 27 - 19. Let s = n - 1. Find the first derivative of -s*k + 7*k + k**3 - 1 wrt k. 3*k**2 Suppose 0*s - 5*s = -10. Suppose -x = s*x - 9. Find the first derivative of -i**3 - 2 - 3*i**3 + 0*i**x wrt i. -12*i**2 Let q(d) be the first derivative of -2*d**7/7 - 4*d**3/3 + 5. Find the third derivative of q(k) wrt k. -240*k**3 Let y(q) be the third derivative of -q**6/120 + q**4/12 - q**3/3 - 4*q**2. Let s(a) be the first derivative of y(a). Find the first derivative of s(b) wrt b. -6*b Suppose -8*k = -3*k + 25, 5*k + 40 = 5*v. Find the third derivative of -8*d - d**2 + 8*d - d**v wrt d. -6 Let i(u) be the third derivative of -13*u**5/60 - u**4/12 - 13*u**2. What is the second derivative of i(s) wrt s? -26 Let k(q) = -9*q**2 + 3*q - 6. Suppose 3*h - 55 = -2*h. Let a(b) = 17*b**2 - 6*b + 11. Let o(f) = h*k(f) + 6*a(f). Find the second derivative of o(r) wrt r. 6 Let d = -37 - -96. Find the second derivative of 0*m + 5*m - d*m**4 + 55*m**4 wrt m. -48*m**2 Let d(v) be the first derivative of 3*v**4 + 5*v**3/3 - 7. What is the third derivative of d(j) wrt j? 72 Let u(y) = y**5 - y**3 - y**2 + y + 1. Let i(s) = -4*s**5 - 3*s**3 - 3*s**2 - 11*s + 3. Let c(x) = -i(x) + 3*u(x). Find the second derivative of c(d) wrt d. 140*d**3 Suppose -7 = -6*m + 11. Let n(y) be the first derivative of m + 0*y + 1/2*y**2 + y**3. Find the second derivative of n(z) wrt z. 6 Let z(c) be the third derivative of c**8/28 - 3*c**4/8 - 4*c**2. What is the second derivative of z(o) wrt o? 240*o**3 Suppose -3 = p, -5*p + p = -4*h + 24. Find the first derivative of -1 + k**3 - 3*k**h + 2*k**3 - 4*k**4 wrt k. -16*k**3 Let u(n) be the third derivative of -29*n**7/105 - n**6/60 - 2*n**3 - 3*n**2 + 4. Differentiate u(d) with respect to d. -232*d**3 - 6*d**2 Let o(p) be the third derivative of p**7/1680 + p**6/240 - 7*p**5/60 - 3*p**2. Let v(g) be the third derivative of o(g). Differentiate v(q) wrt q. 3 Suppose 0 = 4*i - 5*y + 8, -3*i - 5*y = 9 - 38. What is the second derivative of -i*k - 4*k**3 + 2*k + 4*k**3 - 4*k**4 wrt k? -48*k**2 Let f(m) be the first derivative of 7 + 2*m + 7/2*m**2. What is the derivative of f(a) wrt a? 7 Let r = -15 + 20. What is the second derivative of 0 - 1 + 1 - r*b - 3*b**4 wrt b? -36*b**2 Let x(c) be the third derivative of c**6/8 + 7*c**3/2 + 33*c**2. Find the first derivative of x(d) wrt d. 45*d**2 Let v(z) = 4*z + 21. Let c(u) = 2*u + 11. Let b = 4 + -10. Let n(a) = b*v(a) + 11*c(a). Differentiate n(p) with respect to p. -2 Let a(j) = -j**4 - j**3 + j**2 - 1. Let g(s) = -8*s**4 + 3*s**3 - 3*s**2 + 18*s + 3. Let k(r) = 3*a(r) + g(r). Find the second derivative of k(n) wrt n. -132*n**2 Let f(d) be the second derivative of 0*d**4 + 0 + 0*d**5 - 1/15*d**6 + 0*d**3 + 2*d**2 + d. What is the first derivative of f(n) wrt n? -8*n**3 Suppose 5 + 13 = 3*a. Let k be (a/4)/((-12)/(-32)). Find the third derivative of h**2 + h**2 + h**3 - 3*h**3 - k*h**2 wrt h. -12 Let y(m) = 12*m**2 - 3*m + 9. Let c(a) = -12*a**2 + 2*a - 9. Let s(o) = -3*c(o) - 2*y(o). Differentiate s(u) wrt u. 24*u Find the first derivative of 1 - 2 - 4*p - p - 9*p wrt p. -14 Let h(w) be the third derivative of w**7/30 - 5*w**3/3 - 19*w**2. What is the first derivative of h(k) wrt k? 28*k**3 Find the third derivative of d**2 - 4*d**2 + 6*d**2 - 6*d**6 + 0*d**2 wrt d. -720*d**3 Let z(d) = -2*d - 6. Let i be z(-4). Suppose -1 = y - 5. What is the third derivative of i + q**4 - q**2 - y*q**4 - 2 wrt q? -72*q Let u(b) = -3*b - 16. Let g = -17 + 10. Let w(l) = l + 5. Let h(n) = g*w(n) - 2*u(n). Find the first derivative of h(a) wrt a. -1 Let u(k) be the second derivative of 29*k**8/28 - k**4/6 - 31*k**3/6 + 15*k. What is the third derivative of u(m) wrt m? 6960*m**3 Let j(w) be the third derivative of w**8/84 + 3*w**4/8 - w**2. Find the second derivative of j(q) wrt q. 80*q**3 Let k(u) be the second derivative of 5*u + 2/3*u**3 + 0*u**2 + 3/20*u**5 + 0*u**4 + 0. What is the second derivative of k(w) wrt w? 18*w Let w(o) = 0*o - o - o + 1. Let l(s) = 1 + 2*s + s + 0*s - 4*s. Let r(g) = -8*l(g) + 5*w(g). Find the first derivative of r(p) wrt p. -2 Let j(d) be the third derivative of 13*d**9/168 + d**5/15 + 7*d**4/24 + 24*d**2 - d. What is the third derivative of j(n) wrt n? 4680*n**3 Let b(l) = l**3 - 6*l**2 - 6*l + 9. Let t(p) = p**3 - 5*p**2 - 5*p + 9. Let z(h) = -5*b(h) + 6*t(h). What is the derivative of z(d) wrt d? 3*d**2 Let n(l) be the second derivative of -l**6/15 - l**4/24 + 3*l**2/2 - 8*l. Let k(g) be the first derivative of n(g). What is the second derivative of k(c) wrt c? -48*c Suppose 20*d = 16*d + 8. Let x(p) be the first derivative of -1/4*p**4 + 0*p**3 + 1 + 0*p**d + 3*p. What is the first derivative of x(b) wrt b? -3*b**2 Let u(s) = s**2 + 8*s + 12. Let c be u(-8). Find the second derivative of -t**2 - c*t + 4*t**2 + 9*t + 9*t wrt t. 6 Let j(h) be the second derivative of -h**6/6 - h**2 + h. Differentiate j(s) wrt s. -20*s**3 What is the second derivative of -4*i**4 + i**4 - i + 13*i**4 - 2*i wrt i? 120*i**2 Let g(r) be the first derivative of 5*r**4/2 + 6*r**2 - 12. What is the second derivative of g(y) wrt y? 60*y Let s(h) = -4 + 4*h + 0*h - 13*h. Let x(i) = 8*i + 3. Let d(r) = -5*s(r) - 6*x(r). Differentiate d(k) wrt k. -3 Let n(q) be the third derivative of -31*q**6/120 + 9*q**3/2 + 15*q**2. What is the first derivative of n(i) wrt i? -93*i**2 Let u = 120 + -118. Let h(j) be the first derivative of -4 + 1/4*j**4 + 0*j**3 + j**u + 0*j. Find the second derivative of h(r) wrt r. 6*r Suppose -4*a - 20 = 5*o, 0*a = -2*o + 3*a + 15. What is the derivative of o*u + u - 5 - 7*u wrt u? -6 Let x(r) be the first derivative of -r**7/210 + r**6/180 - 2*r**3/3 + 4. Let d(q) be the third derivative of x(q). What is the third derivative of d(u) wrt u? -24 What is the third derivative of 7*p**2 + 6*p**2 - 7*p**2 + 8*p**5 - 3*p**5 wrt p? 300*p**2 Let s = -1 + 3. Suppose -u + 15 = -3*l, 2*l = -0*l - 8. Find the third derivative of -u*k**s + 0*k**5 - 2*k**5 + k**2 wrt k. -120*k**2 Let p(l) = 8*l**2 - 1. Let r be p(-1). Let b(z) = -6*z - 4. Let v(i) = -5*i - 3. Let m(u) = r*v(u) - 6*b(u). What is the derivative of m(a) wrt a? 1 Let d(m) be the first derivative of 2 + 0*m**2 - 2/3*m**3 - 2*m. Differentiate d(j) wrt j. -4*j Let b(g) be the second derivative of -g**6/6 - 3*g**2/2 - 5*g. Find the first derivative of b(z) wrt z. -20*z**3 Differentiate 5*y - 8*y**2 - 5*y + 5 + 14*y**2 with respect to y. 12*y Let j(g) = 8*g + 13. Let t(v) = 7*v + 12. Let p(r) = -4*j(r) + 5*t(r). Differentiate p(w) with respect to w. 3 What is the first derivative of 10 + p + 4*p - p wrt p? 4 Let g(r) = r**2 - 7*r + 4. Let w be g(5). Let p be 2/(w/3) + 3. Find the third derivative of -3*n**p - n**6 + 2*n**2 + 2*n**2 wrt n. -120*n**3 Let t(m) be the third derivative of -m**8/168 - 7*m**5/60 - 8*m**2. Find the third derivative of t(n) wrt n. -120*n**2 Suppose -4*g + 0*p - 22 = -2*p, -20 = 2*g - 4*p. Let w be (-7)/(-4) + (-1)/g. Differentiate 1 + u + 2*u - w wrt u. 3 Differentiate 57*k - 130*k + 51*k + 27 with respect to k. -22 Let x(b) be the second derivative of 1/15*b**6 + 0*b**3 - 1/2*b**2 + 3*b + 0*b**5 + 0*b**4 + 0. Find the first derivative of x(i) wrt i. 8*i**3 Find the third derivative of 12*k**5 - 24*k**2 + k**5 + 9*k**2 wrt k. 780*k**2 What is the first derivative of 5 - 33 + 7 - 30*p**2 + 10 wrt p? -60*p Let u(f) be the third derivative of -f**8/280 - f**6/360 + f**3/3 - f**2. Let q(t) be the first derivative of u(t). What is the third derivative of q(g) wrt g? -144*g Let z = 8 + -6. What is the derivative of
{ "pile_set_name": "DM Mathematics" }
4. 3/974 4200 divided by 168 25 2790 divided by 5 558 Divide 158 by -158. -1 -5625 divided by 1125 -5 What is 752 divided by -188? -4 What is -416 divided by -26? 16 Calculate 113 divided by 20. 113/20 4 divided by 108 1/27 Divide 291 by 13. 291/13 What is 25 divided by 2? 25/2 Divide 36 by 13. 36/13 1736 divided by -124 -14 Divide -6 by -36. 1/6 Calculate -46 divided by 1. -46 What is 19 divided by -56? -19/56 243 divided by -3 -81 Divide 19 by -159. -19/159 What is -189 divided by 63? -3 Divide 4 by -98. -2/49 What is 1182 divided by 6? 197 -74 divided by -17 74/17 -18 divided by -147 6/49 -4841 divided by 3 -4841/3 Calculate 95 divided by 3. 95/3 Calculate -22 divided by -6. 11/3 63 divided by -63 -1 Divide -54 by -3. 18 -222 divided by -3 74 Calculate 2 divided by -616. -1/308 Calculate -4740 divided by 237. -20 Calculate 203 divided by 105. 29/15 Calculate -372 divided by 6. -62 Divide 252 by -28. -9 Divide -12285 by 945. -13 4080 divided by -6 -680 What is -510 divided by -15? 34 -130 divided by -65 2 2076 divided by 692 3 What is 35 divided by -7? -5 Divide -1257 by -1. 1257 Divide 31 by -13. -31/13 What is 22681 divided by 37? 613 What is 53 divided by -53? -1 Calculate -1026 divided by -513. 2 Divide 259 by 259. 1 Calculate 171 divided by -57. -3 Calculate 30 divided by -16. -15/8 What is 5 divided by 15? 1/3 -270 divided by -5 54 2 divided by -22 -1/11 -5 divided by -448 5/448 What is 886 divided by -1? -886 Divide 176 by 22. 8 -29 divided by 7 -29/7 What is 7 divided by -282? -7/282 Calculate -5 divided by 1401. -5/1401 -1452 divided by 363 -4 What is 372 divided by -6? -62 Divide -329 by 47. -7 What is -6112 divided by -382? 16 What is 28 divided by -7? -4 Divide -8 by 21. -8/21 Divide 315 by 3. 105 What is -12 divided by -3? 4 5706 divided by 2 2853 -2691 divided by -5 2691/5 5 divided by 4787 5/4787 What is -13347 divided by -4449? 3 -336 divided by -84 4 Calculate -5077 divided by 3. -5077/3 Calculate -154 divided by 14. -11 What is -339 divided by 3? -113 Divide 125 by -40. -25/8 Divide 1 by -1. -1 Calculate 6 divided by -332. -3/166 5 divided by 2832 5/2832 3 divided by -144 -1/48 What is 816 divided by 4? 204 Divide -5 by -15. 1/3 Calculate 13 divided by -13. -1 Calculate 81 divided by 5. 81/5 Calculate 3 divided by 298. 3/298 Calculate -2064 divided by -1032. 2 What is 12 divided by -287? -12/287 Divide 1 by -154. -1/154 What is -310 divided by -5? 62 What is -83 divided by -1? 83 Divide 1336 by -8. -167 Divide -350 by -50. 7 What is -4 divided by 70? -2/35 What is -60 divided by -20? 3 -15 divided by -2 15/2 Divide -905 by 181. -5 Divide -16184 by 4. -4046 -8 divided by -4 2 Divide -484 by 6. -242/3 Divide -12 by 1. -12 -80094 divided by 6 -13349 Calculate -3175 divided by -635. 5 776 divided by 2 388 Calculate 366 divided by 183. 2 9113 divided by 3 9113/3 What is -292 divided by -9? 292/9 What is 5056 divided by 8? 632 Divide 0 by 1280. 0 -726 divided by 33 -22 What is -1 divided by 1? -1 -126 divided by -42 3 -3 divided by 33 -1/11 Calculate 240 divided by -48. -5 What is -1979 divided by -1? 1979 What is -37 divided by -5? 37/5 -54 divided by 6 -9 Divide 5965 by -5. -1193 Calculate -8680 divided by 5. -1736 113 divided by -4 -113/4 Divide 2705 by -5. -541 2572 divided by 643 4 Divide -5 by -673. 5/673 Divide -3 by 27. -1/9 Divide 52 by -4. -13 Divide 11 by 189. 11/189 What is -1110 divided by 1? -1110 What is -37824 divided by 6? -6304 What is 10 divided by 11? 10/11 What is 176 divided by -44? -4 Divide 3420 by 12. 285 Calculate -160 divided by 5. -32 540 divided by 270 2 What is 1 divided by 109? 1/109 -1900 divided by 950 -2 123 divided by 3 41 Calculate 3758 divided by -2. -1879 Divide -6880 by 1376. -5 Divide -986 by 29. -34 2011 divided by 6 2011/6 Calculate 100 divided by 2. 50 What is 14 divided by 2? 7 Divide 260 by 13. 20 Divide -18 by 14. -9/7 Divide 3 by 315. 1/105 -2 divided by 16 -1/8 What is 5 divided by -6206? -5/6206 Calculate -54006 divided by -3. 18002 Calculate -4290 divided by -5. 858 Divide 1172 by -586. -2 Calculate 243 divided by -81. -3 Divide -18759 by -5. 18759/5 Calculate 465 divided by -31. -15 Divide 3454 by -2. -1727 What is 874 divided by 28? 437/14 Divide -840 by -20. 42 What is -250 divided by -15? 50/3 What is -1280 divided by -5? 256 What is -74 divided by -37? 2 -7053 divided by 6 -2351/2 Divide 820 by 2. 410 What is 12607 divided by -7? -1801 Divide -20 by -10. 2 Calculate 20248 divided by -4. -5062 Divide 8 by -14. -4/7 Divide -803 by -11. 73 What is 270 divided by -5? -54 What is 1396 divided by 349? 4 Calculate -660 divided by -15. 44 Calculate 252 divided by -18. -14 Divide -3 by 695. -3/695 4 divided by -1016 -1/254 What is -2614 divided by -4? 1307/2 What is 116 divided by 29? 4 Calculate 14 divided by 14. 1 97 divided by -6 -97/6 Divide -1486 by 2. -743 What is -7 divided by -7? 1 Calculate 14 divided by 459. 14/459 7530 divided by 5 1506 Calculate 0 divided by -4184. 0 Calculate -107 divided by -22. 107/22 Calculate 264 divided by 44. 6 649 divided by -11 -59 What is 10285 divided by 121? 85 What is 1416 divided by 472? 3 5 divided by -100 -1/20 Calculate 1014 divided by 10. 507/5 1599 divided by 4 1599/4 -5 divided by -5490 1/1098 -276 divided by 6 -46 Calculate -4 divided by 585. -4/585 Divide 1677 by -559. -3 157 divided by 4 157/4 What is 1 divided by 479? 1/479 5 divided by 173 5/173 What is 5 divided by 6303? 5/6303 Calculate 1 divided by -443. -1/443 Divide 9664 by -64. -151 What is 25146 divided by 6? 4191 -42 divided by 42 -1 824 divided by -206 -4 2250 divided by 18 125 Divide 735 by -5. -147 Divide 2046 by 1023. 2 8372 divided by 4 2093 What is -5 divided by -389? 5/389 -66 divided by -11 6 Calculate 2 divided by 34. 1/17 What is 72 divided by -24? -3 -11180 divided by 4 -2795 Divide -199 by -1. 199 Divide 1 by -1295. -1/1295 Divide -300 by -75. 4 -6142 divided by 3071 -2 What is -402 divided by -2? 201 -232 divided by 1 -232 What is -781 divided by -5? 781/5 Calculate -1 divided by -108. 1/108 Calculate 1786 divided by -1. -1786 0 divided by -1917 0 What is 4 divided by 1130? 2/565 8 divided by 12 2/3 What is -86 divided by -2? 43 -26 divided by -241 26/241 Divide -3 by -5. 3/5 Calculate -2 divided by 7326. -1/3663 Divide 1773 by 3. 591 Divide 2 by -50. -1/25 Divide -7 by 34. -7/34 What is -112 divided by 28? -4 Divide -427 by 3. -427/3 Divide 7 by 14. 1/2 Divide 1161 by 387. 3 Calculate -5544 divided by -42. 132 Calculate 195 divided by -39. -5 Calculate 228 divided by 12. 19 Divide -4048 by 1. -4048 Divide 3656 by -1. -3656 -350 divided by 7 -50 What is -2 divided by 78? -1/39 Calculate -1 divided by -15. 1/15 Divide -3301 by -3. 3301/3 Divide -8 by -20. 2/5 Calculate 42 divided by -2. -21 What is -2 divided by -429? 2/429 What is 1456 divided by -728? -2 -363 divided by 33 -11 9 divided by 40 9/40 Divide -33 by 11. -3 -1300 divided by 2 -650 Divide -10 by 76. -5/38 8 divided by -430 -4/215 -2691 divided by -3 897 -10535 divided by -245 43 1 divided by 168 1/168 -952 divided by 7 -136 10528 divided by -752 -14 Calculate -396 divided by -44. 9 Divide 5 by -507. -5/507 What is 595 divided by -595? -1 Divide 1168 by 292. 4 -1085 divided by -217 5 What is 97480 divided by 5? 19496 210 divided by 42 5 What is -10 divided by 6? -5/3 Calculate 1115 divided by -223. -5 Divide 2161 by -2161. -1 What is -54 divided by -3? 18 What is 366 divided by 2? 183 Calculate -12 divided by -488. 3/122 What is -2016 divided by -3? 672 What is -300 divided by -15? 20 130 divided by 13 10 What is -4 divided by 710? -2/355 -1101 divided by 367 -3 Calculate -12 divided by 1. -12 226 divided by -10 -113/5 -10 divided by 7 -10/7 -412 divided by 103 -4 Divide -104 by -5. 104/5 What is 14672 divided by -8? -1834 10371 divided by 3 3457 What is -8 divided by 130? -4/65 Calculate -4390 divided by -5. 878 -259 divided by 259 -1 What is -3480 divided by 4? -870 What is 91920 divided by 6? 15320 -459 divided by 2 -459/2 Divide 1428 by 6. 238 -5 divided by -251 5/251 Divide -12 by -49. 12/49 4010 divided by 10 401 What is -4128 divided by 258? -16 Calculate 392 divided by 4. 98 Divide 64 by -98. -32/49 Divide 1819 by -4. -1819/4 Divide 2580 by 43. 60 Divide 4 by 19. 4/19 -185 divided by 6 -1
{ "pile_set_name": "DM Mathematics" }
. Let w(f) be the third derivative of b(f). Let l(x) = x**2. Determine w(l(h)). -h**4 Let i(d) = 28*d - 6. Let o(f) = 11*f**2. Give i(o(x)). 308*x**2 - 6 Let c(q) = -8*q**2 + 6*q**2 + q**2. Let f(p) = 0*p**2 - 2*p**2 - p**2. Determine c(f(h)). -9*h**4 Let d(j) = 1 - 2*j + 9 - 10. Let f(i) be the third derivative of -i**4/6 + i**2. Let t(c) = -2*c. Let q(r) = 2*f(r) - 3*t(r). Calculate d(q(a)). 4*a Let y(f) = -3 - 25*f + 3 + 19*f. Let w(z) = 5*z. Determine w(y(k)). -30*k Let a(s) = 107*s**2. Let k(y) = 49*y. Calculate a(k(z)). 256907*z**2 Let m(l) = l. Let f(q) be the third derivative of -55*q**4/24 + 11*q**2 + 2. Give f(m(p)). -55*p Let z(p) = 2*p. Suppose 0 = 3*c - 3, 0 = -2*u - u + 5*c + 1. Let t(y) = -5*y + u*y + 5*y. Determine t(z(l)). 4*l Let a = -12 + 21. Let r(w) = 3*w**2 + a*w**2 - 10*w**2. Let n(q) = -3*q**2 + 2*q. Let p(h) = 4*h**2 - 3*h. Let m(y) = -3*n(y) - 2*p(y). Determine r(m(c)). 2*c**4 Let s(l) be the first derivative of 2*l**2 - 5 + 3 - l**2. Let y(w) = -4*w**2. Determine y(s(o)). -16*o**2 Let z(l) = 1 - 1 - l**2. Let p(h) = 5*h**2 + 35*h. Let m(g) = -g**2 - 6*g. Let x(r) = -35*m(r) - 6*p(r). What is z(x(w))? -25*w**4 Let a(c) = -c**2 - 5*c**2 + c**2. Let u(q) = 106 - 106 + 2*q**2. Give u(a(p)). 50*p**4 Let v(w) = -w - 3 + 3. Let s(c) = -8*c. Give v(s(y)). 8*y Let b(l) = -7*l. Let g(y) = 66*y**2. Calculate b(g(m)). -462*m**2 Let k(j) = -4*j. Let u(c) = c**2 + 56*c. Calculate u(k(i)). 16*i**2 - 224*i Let v(w) be the second derivative of w**3/3 - 11*w. Let s(n) = 15*n**2. Give v(s(y)). 30*y**2 Let b(c) be the first derivative of -c**4/12 + c**2 + 2. Let g(f) be the second derivative of b(f). Let l(k) = -k. What is g(l(m))? 2*m Let m(z) = z**2 + 0*z**2 - 6*z**2. Let w be (10/2)/((-3)/3). Let s(h) = h**2 + 5*h - 5. Let l(g) = -2*g + 2. Let a(y) = w*l(y) - 2*s(y). Calculate m(a(p)). -20*p**4 Let p(a) = 58*a + 17. Let l(k) = 10*k + 3. Let d(u) = 34*l(u) - 6*p(u). Let q(v) = -v. Let o(n) = -4*n. Let g(m) = 2*o(m) - 9*q(m). What is d(g(r))? -8*r Let x(c) = -c. Let l(n) = -2021*n. What is x(l(d))? 2021*d Let k(u) = -u + 2*u - 3*u**2 - 4 - 2*u - 3*u. Let d(n) = -2*n**2 - 3*n - 3. Let c(l) = -4*d(l) + 3*k(l). Let h(t) = -2*t. Calculate c(h(s)). -4*s**2 Let p = -12 + 12. Let o(k) = 4*k - 6*k + k + p*k. Let i(q) = -9*q + 3 - 3. What is o(i(x))? 9*x Let l(f) be the first derivative of f**3/3 + 4. Let d(n) = n**2 - 4. Give d(l(y)). y**4 - 4 Let j(f) = -26*f. Let y(t) be the first derivative of t**3 + 24. What is j(y(o))? -78*o**2 Let r(z) = -603*z - 1. Let j(s) = -2*s**2. Give r(j(x)). 1206*x**2 - 1 Let b(o) be the second derivative of o**3/6 - 3*o. Let r(c) be the third derivative of 13*c**5/60 + 13*c**2. What is b(r(q))? 13*q**2 Let q(f) = 3*f - 4. Let r(a) = -8*a + 11. Let p(o) = -o**2 + 10*o - 5. Let h be p(8). Let k(d) = h*q(d) + 4*r(d). Let l(u) = 6*u**2. Determine k(l(c)). 6*c**2 Let a(u) = -2*u + 1154. Let r(l) = l**2. Calculate a(r(o)). -2*o**2 + 1154 Let o(t) = 3*t. Let f(j) be the second derivative of -j**4/3 - 2*j. Give o(f(z)). -12*z**2 Let h(k) = 2*k**2. Let w(v) = 10*v**2 - 6*v. Let l(b) = b**2 - b. Let n(f) = -30*l(f) + 5*w(f). Calculate n(h(p)). 80*p**4 Let i(o) = -22*o**2. Let x(u) = -u**2 + u + 1. Let q(c) = -4*c**2 + 6*c + 6. Let h(n) = q(n) - 6*x(n). Calculate i(h(j)). -88*j**4 Let d(l) = l**2 + l. Let v(q) = -110*q. Let a(u) = -110*d(u) - v(u). Let g(j) = j. Determine g(a(z)). -110*z**2 Let y(x) = -6*x**2. Let b(t) = 26*t**2. Determine y(b(f)). -4056*f**4 Let t(k) = -21*k**2. Let d(m) = 6*m + 3. Determine t(d(z)). -756*z**2 - 756*z - 189 Let z(n) = -5*n**2. Let x(v) be the third derivative of -v**5/20 + 7*v**2. Determine x(z(o)). -75*o**4 Let n(d) = 32*d**2. Let r(a) be the first derivative of -2*a**3/3 - 20. Give n(r(l)). 128*l**4 Let q(g) = 3*g. Suppose 0 = -5*b + 14 - 4. Let t(h) = 4*h**2 - 2*h**b + h**2. Give t(q(k)). 27*k**2 Let f(t) be the third derivative of t**5/20 - t**2. Let a(i) = -i**2 - 3*i + 7. Let m be a(-3). Let q(u) = -m*u**2 + 3*u**2 - 3*u**2 + 4*u**2. Give f(q(c)). 27*c**4 Let f(b) = 6*b**2 - 126*b. Let s(x) = -6*x**2. Calculate f(s(a)). 216*a**4 + 756*a**2 Let s(h) = 76*h. Let y(i) = 4*i**2. Give y(s(m)). 23104*m**2 Let t(s) = 4 - 3*s - 4. Let n(h) be the first derivative of -h**2/2 - 10. What is n(t(p))? 3*p Let f(k) = -k**2. Let t(m) = m. Let j be t(3). Suppose 1 = -4*o + 21, -j*s - 5*o = -37. Let i(b) = b**2 - s*b**2 + 5*b**2. Give i(f(c)). 2*c**4 Let k(a) = 3*a. Let s(b) = 5*b + 24525 - 24525. What is k(s(x))? 15*x Let v(y) = -2*y**2. Let c(s) be the third derivative of s**4/8 + 3*s**3 - 2*s**2. Let h(z) = 1. Let l(t) = c(t) - 18*h(t). Determine l(v(u)). -6*u**2 Let r(q) be the third derivative of q**4/12 + 6*q**2. Let d(h) = 32*h**2. Calculate d(r(b)). 128*b**2 Let s(d) = 5*d - 9. Let n(v) = v - 2. Let i(p) = 9*n(p) - 2*s(p). Let x(y) = 5*y**2. Calculate i(x(h)). -5*h**2 Let u(p) = -2*p - 57. Let x(l) = 7*l. Give u(x(o)). -14*o - 57 Let s(h) = -h. Let q(j) = -8*j - 48. Give q(s(n)). 8*n - 48 Let q(n) = 2*n. Let a(w) = -2445*w**2. Calculate q(a(l)). -4890*l**2 Let f(k) = 2*k. Suppose -4*o + 11 = s, 5*o - 16 = -4*s + 2*s. Let p(x) = 9*x**o - x**2 - 4*x**2. What is p(f(w))? 16*w**2 Let c(q) = -4*q**2. Let r be (1 - 0/3) + 4. Suppose 3*h + 0*h + 32 = r*u, -4*u + 3*h = -28. Let v(d) = 5*d**2 + d**2 - u*d**2. Determine c(v(t)). -16*t**4 Suppose -11*b = -0*b. Let p(m) be the third derivative of 0*m - 4*m**2 + b*m**3 + 0 + 0*m**4 + 1/15*m**5. Let z(u) = 2*u**2. Determine z(p(y)). 32*y**4 Let u(l) = -l**2 - 10*l - 10. Let n be u(-8). Let r(v) = v - n*v + 7*v. Let q(b) = 4*b**2 - 2*b**2 + 0*b**2. Determine q(r(y)). 8*y**2 Let c(n) be the first derivative of 2*n**3/3 - 2. Let d(t) = -5*t. Calculate c(d(p)). 50*p**2 Let y(l) = -6*l. Let m(w) = -3*w. Let o(b) = 5*b. Let i(v) = -7*m(v) - 4*o(v). Determine y(i(s)). -6*s Let m(o) = 3*o. Let d(l) = -l. Let a(n) = -8*d(n) - 3*m(n). Let r(j) be the third derivative of j**4/8 + 2*j**2. Calculate r(a(k)). -3*k Let f(v) be the first derivative of -5*v**3/3 + 5. Suppose -5*l + 5*z = -4 - 6, 0 = -3*z + 9. Let p(i) = 5 - 2*i**2 - l. Give f(p(r)). -20*r**4 Let t(a) = 13*a**2 + 8*a. Let m(x) = -10*x**2. Determine t(m(l)). 1300*l**4 - 80*l**2 Let k(j) be the first derivative of 2*j**3 + 9. Let h(f) = 2*f. Give k(h(i)). 24*i**2 Let d(o) = -2*o**2. Let t(h) = 112*h. Calculate d(t(j)). -25088*j**2 Let c(a) = -3*a. Let q(n) = -3*n - 1. Let h be q(-1). Let u(i) = -3*i**2 + 5*i**2 + 2*i - h*i. Calculate u(c(v)). 18*v**2 Let f(p) = 4*p. Let j(c) be the first derivative of 0*c**2 + 0*c - 2/3*c**3 - 3. Calculate j(f(k)). -32*k**2 Let r(i) = -2*i. Let v = 5 + -3. Let q(p) = p**2 + p**v + 3*p**2 - 3*p**2. Determine q(r(x)). 8*x**2 Let s(j) = -16482*j**2. Let k(a) = -a. Give s(k(w)). -16482*w**2 Let b(d) be the second derivative of -d**4/12 + 7*d. Let r(t) = t**2. Calculate r(b(n)). n**4 Let c(l) = -2*l**2. Let p(s) = 4263*s**2. Give c(p(g)). -36346338*g**4 Let v(r) be the second derivative of 0*r**2 + 2*r + 0 + 0*r**3 - 1/6*r**4. Let f(s) = -s - 2*s + 0*s + 6*s. Calculate v(f(x)). -18*x**2 Let f(b) be the first derivative of -2/3*b**3 + 0*b**4 + 0*b**2 + 1/30*b**5 + 1 + 0*b. Let k(t) be the third derivative of f(t). Let c(a) = -a**2. Give c(k(p)). -16*p**2 Let l(y) = 7*y**2 - 5*y. Let m(v) = 4*v**2 - 3*v. Suppose i - 37 = -5*q + 4*i, -7 = -3*q - 2*i. Let s(u) = q*m(u) - 3*l(u). Let c(j) = 2*j. What is c(s(a))? -2*a**2 Let z = 3 - 1. Suppose 3*x + 4*v - 3 = z*v, -v - 3 = 0. Let g(p) = -x*p - p + 7*p. Let h(o) = -2*o**2. Determine g(h(l)). -6*l**2 Let w(r) = -2*r. Let x(u) = 484*u. What is x(w(p))? -968*p Let t(f) = f**2 + 4*f - 2. Let g be t(-5). Let n(z) = -3 + g - 3*z. Let r(p) = 2*p. Calculate r(n(l)). -6*l Let q(r) = 14*r**2. Let y(a) = 23*a**2. Give y(q(c)). 4508*c**4 Let l(k) be the second derivative of k**3/6 + 15*k. Let d(m) = -2*m - 5. What is l(d(u))? -2*u - 5 Let q(h) = -11*h. Let j(u) = -u - 11. Give q(j(w)). 11*w + 121 Let f(i) = -i**2. Let a(l) = -l - 11. Let g(r) = 1. Let k = -43 - -2. Let u = -63 - k. Let m(p) = u*g(p) - 2*a(p). Give m(f(q)). -2*q**2 Let l be 0 - (3 - (1 - -2)). Let u(j) = -2*j**2 + 0*j**2 + l*j + 0*j. Let i(c) = -c + 7*c - 2*c. Determine i(u(f)). -8*f**2 Let j(o) be the second derivative of -o**4/4 + 37*o. Let u(a) = 2*a. Give j(u(m)). -12*m**2
{ "pile_set_name": "DM Mathematics" }
y(k) be the second derivative of 10*k + 9/2*k**2 + 1/2*k**4 + 0*k**l + 0. What is the first derivative of y(t) wrt t? 12*t Let t be (-27 + 21)/(3/(-10)). What is the third derivative of -2*o**6 - 2*o**2 - 13 + 8*o**4 - 8*o**4 + t*o**5 wrt o? -240*o**3 + 1200*o**2 Let j(v) = -89*v**3 + 2*v**2 + 48*v. Let n(x) = -x**3 + x**2 - x. Suppose 5*m - 22 = -32. Let l(p) = m*n(p) + j(p). What is the second derivative of l(i) wrt i? -522*i Let t(u) = -125*u**2 - 448*u. Let s(y) = -124*y**2 - 451*y. Let q(v) = 5*s(v) - 4*t(v). What is the second derivative of q(l) wrt l? -240 Let d(l) be the second derivative of -l**7/42 - 133*l**5/2 - 8267*l**4/12 - 6*l + 8. What is the third derivative of d(n) wrt n? -60*n**2 - 7980 Let t = -325001/60 - -16252/3. Let c(j) be the second derivative of -21*j + 0 - 5/2*j**2 - t*j**5 - 1/12*j**4 + 0*j**3. Find the third derivative of c(r) wrt r. -78 Suppose 20 = 8*z - 4*z. Let r(y) = 32*y + 226. Let g be r(-7). What is the second derivative of -21*w**2 + g*w**z + 48*w**2 - 27*w**2 + 8*w wrt w? 40*w**3 Let k(h) = -733*h**3 - h**2 - h. Let l be k(-1). What is the derivative of 5 - 19 - 735*x + 3*x**4 + l*x + x**4 wrt x? 16*x**3 - 2 Suppose l = 5*l - 10*l. What is the derivative of 0*o**2 - 328 + l*o**2 - 86*o**4 + 93*o**4 wrt o? 28*o**3 Let d(c) = 22*c**6 - 4*c**4 + 141*c**2 + 4*c - 24. Let n(y) = -y**6 + y**2 + 8. Let h(u) = d(u) + 3*n(u). What is the third derivative of h(k) wrt k? 2280*k**3 - 96*k What is the first derivative of 995 + 433*h**2 + 475 + 374*h**2 + 7*h - 7*h wrt h? 1614*h Let m(f) be the first derivative of 119/2*f**2 - 141 + 29/4*f**4 + 0*f + 1/3*f**3. Find the third derivative of m(a) wrt a. 174 Suppose 6*m + 35 = 7*m. Let y = -32 + m. What is the first derivative of 28 + y*j**3 - 23 - 3*j**3 - 29*j**4 wrt j? -116*j**3 Let s = 95 - 85. Suppose -s*g + 59 = 19. What is the third derivative of 6*u**4 - 3*u**g + 0*u**2 + 0*u**4 + 22*u**2 wrt u? 72*u What is the third derivative of 125*b**2 + 138*b**2 - 1520*b**3 + 7*b**2 wrt b? -9120 Suppose -11*d = -4*d + 322. Let n = d + 48. Find the third derivative of -23*r**3 - 3*r**2 + 23*r**3 - 23*r**6 + 13*r**n wrt r. -2760*r**3 Suppose 32 = 3*x + 20. Let i be 24/(-8) + 3*2. Find the third derivative of -8*g**3 + x*g**3 + 34*g**i + 30*g**2 wrt g. 180 Let r(l) = 3*l + 60. Let v be r(-18). Differentiate -34*f + 15*f - v*f - 36 wrt f. -25 Let g(s) = 1543*s - 1606. Let k(y) = 1539*y - 1607. Let l(x) = -4*g(x) + 3*k(x). What is the first derivative of l(o) wrt o? -1555 Let z(f) be the third derivative of -563*f**6/120 - 1721*f**5/60 - 767*f**2 + 1. Find the third derivative of z(s) wrt s. -3378 What is the second derivative of -115*y - 540 + 537 - 18*y - 440*y**2 + 21*y - 15*y wrt y? -880 Let r be (-6 - -2)/(4/(-84)). What is the derivative of 223*n**2 + 872*n - 872*n - r wrt n? 446*n Let a = 489 - 484. Let i(h) = -368*h**2 - h - 40. Let k(v) = 552*v**2 + 2*v + 60. Let l(m) = a*k(m) + 8*i(m). Find the second derivative of l(t) wrt t. -368 Let n(y) = -730*y**3 + 9420*y**2 - 51*y. Let u(j) = 243*j**3 - 3139*j**2 + 18*j. Let i(g) = 6*n(g) + 17*u(g). What is the third derivative of i(q) wrt q? -1494 Let f(y) be the second derivative of -y**8/28 + 743*y**5/20 - 1841*y**4/12 + 4*y - 75. Find the third derivative of f(c) wrt c. -240*c**3 + 4458 Differentiate -749526*i**3 + 748801*i**3 - 4*i**2 - 238 + 2*i**2 wrt i. -2175*i**2 - 4*i Let f be ((-7)/3)/((-40)/12 - -3). Find the second derivative of 3 + f*i**3 - 1 + 2 - 6 - 39*i wrt i. 42*i Let o(a) be the third derivative of 13*a**6/20 + a**5/15 + 395*a**4/8 + 961*a**2. Find the second derivative of o(q) wrt q. 468*q + 8 Let n be (-2)/(-11) - 756/(-77). Let u be -1*(-25)/n*6. What is the derivative of -8 + 5*t**2 + u*t**3 - 5*t**2 - 7 wrt t? 45*t**2 What is the third derivative of -12018*t**5 - t - 390*t**2 + 25128*t**5 - 12538*t**5 - 1 wrt t? 34320*t**2 Let v = -1/16 + 115/48. Let l(z) be the first derivative of -13/5*z**5 + 0*z**2 + 0*z + 5 + 0*z**4 - v*z**3. Find the third derivative of l(d) wrt d. -312*d Suppose 96*k - 113*k + 204 = 0. Find the third derivative of -89*z**6 - 15*z + 5*z + 5*z**2 - 9*z - k*z wrt z. -10680*z**3 What is the third derivative of -50*v**2 - v + 20*v + 28*v**2 + 7*v - 2*v**4 - 6*v - 1023*v**3 wrt v? -48*v - 6138 Let p(o) be the first derivative of 2*o**5/5 + 220*o**4 + 223*o**3 + 3*o - 238. Find the third derivative of p(q) wrt q. 48*q + 5280 Let u be 6*(-6)/(-108) + (-10)/(-6). Suppose 0 = 3*v + u*y - 12, y + 3 + 0 = 3*v. What is the third derivative of -3*s**4 - 7*s**2 - 7*s**v - 11*s**4 wrt s? -336*s Let j(f) = -2*f + 86 + 3*f - 140 - 141*f**2. Let r(l) = 140*l**2 - l + 52. Let p(g) = 4*j(g) + 5*r(g). What is the second derivative of p(n) wrt n? 272 Suppose 14*g = 18*g - 156. Find the second derivative of 191*b - 4*b**2 + g*b**4 - 412 + 412 wrt b. 468*b**2 - 8 Let r(z) = z**2 - 7*z - 6. Let q be r(8). Suppose 0*j + 14 = q*j. What is the third derivative of -5*b**6 + j*b**2 - 8*b**2 - 13*b**2 - 9*b**6 wrt b? -1680*b**3 Suppose 5*h - x - 3*x = 8, 0 = 5*h - x - 17. Suppose h*z + 19 = 39. What is the second derivative of 71*v**5 - 148*v**5 + 66*v**z + 19*v wrt v? -220*v**3 Let r be (0 - -4)*33/44. What is the first derivative of -2 - 10 - 7 - 59*a**r - 26 wrt a? -177*a**2 Let o(a) be the first derivative of a**6/2 - 569*a**4/4 - 1749*a**2 - a + 6545. Find the second derivative of o(r) wrt r. 60*r**3 - 3414*r Let m(x) be the third derivative of -1751*x**6/60 + 283*x**5/60 + x**3/3 - 2*x**2 - x + 2833. What is the third derivative of m(z) wrt z? -21012 Let j(a) = a**2 + 10*a + 14. Let b be j(-8). Let o be b - -2*(3 - -3). Find the first derivative of -412*l + 402*l + 5 + o wrt l. -10 Let j(s) = 4*s**3 + 9*s - 1. Let g(l) = 8 - 3*l**3 + 2 + 2*l**3 - l - 9. Let f(w) = 15*g(w) + 3*j(w). Differentiate f(h) wrt h. -9*h**2 + 12 Let i(s) = 1911*s**4 - 6*s**2 + 133*s - 2. Let n(b) = 5*b**4 + b**2 - b + 1. Let d(o) = i(o) + 6*n(o). Find the second derivative of d(w) wrt w. 23292*w**2 Differentiate -29*s**3 - 60*s - 109*s**2 - 576 + 15*s**3 + 32*s + 16*s**3 + 27*s wrt s. 6*s**2 - 218*s - 1 Let l be ((-32)/10 + 3)/((-5)/25). Let r be -10*(3 - (1 - -3)). Differentiate -r - 5*d**4 - 2*d**2 + 2*d**2 - l with respect to d. -20*d**3 Let n(o) = 5*o**2 - 42*o - 22. Let f be n(9). What is the derivative of -f*r - 67*r + 5*r - 12*r - 34*r - 85 wrt r? -113 Differentiate -17*n**2 + 18*n**2 - 3068 - n**2 - 28*n**4 - 1010 - 2*n**3 with respect to n. -112*n**3 - 6*n**2 Suppose -d - n = 0, -4*n - 5 - 3 = 0. Suppose 0 = 3*u + d*b - 15, 5*u = -7*b + 2*b + 25. Find the third derivative of u*v**3 - 109*v + 109*v - 11*v**2 wrt v. 30 Let x be -6 - 2 - 8/(-2). Let i = 8 - x. What is the second derivative of 2*y**3 + 7*y**3 + 0*y**3 - i*y - 3*y**3 wrt y? 36*y What is the first derivative of -x - 61*x**2 - 10*x**2 + 27*x**2 - 3547 + 1286 - 28*x**2 wrt x? -144*x - 1 Let s = 409 - 348. What is the first derivative of n**3 + s - 62 - 89 - 2*n wrt n? 3*n**2 - 2 Let m(a) = -a + 27. Let l(y) = 1065*y - 1173. Let n(z) = l(z) - 4*m(z). What is the first derivative of n(r) wrt r? 1069 Let v(z) = -61. Let w(m) be the first derivative of m**2/2 + 304*m + 51. Let t(p) = -11*v(p) - 2*w(p). Find the first derivative of t(i) wrt i. -2 Suppose -60 = -h - 2*x, 4*x + 210 = h + 2*h. Suppose j = -5*o + 160, -3*o + h = 2*j - 30. Find the second derivative of -2*q - o*q**2 + 25 - 25 + 6*q wrt q. -64 Let f(z) be the third derivative of 86*z**7/105 - z**6/120 + 309*z**5/20 - 516*z**2. Find the third derivative of f(u) wrt u. 4128*u - 6 Let u = 5 + -2. Let c(b) = 2*b**3 - 7*b**2 + 4*b - 1. Let k be c(u). Find the second derivative of -a - 7*a + 0*a**k - 4*a**2 - 3*a**2 wrt a. -14 Let l(d) = -186*d**5 + 4*d**4 + 236*d**2 + 2. Let y(g) = -g**5 - 2*g**4 - g**2 - 1. Let h(i) = 2*l(i) + 4*y(i). Find the third derivative of h(j) wrt j. -22560*j**2 Let c(m) be the first derivative of m**6/6 + 47*m**4/4 - 149*m**2/2 + 4*m + 1090. What is the second derivative of c(i) wrt i? 20*i**3 + 282*i Let x(a) = 876*a - 845. Let d(g) = -875*g + 840. Let k(f) = -5*d(f) - 6*x(f). Find the first derivative of k(r) wrt r. -881 Let i(m) be the third derivative of -66*m**2 + 0*m**4 + 0*m - 41/6*m**3 + 31/30*m**5 + 0. What is the first derivative of i(k) wrt k? 124*k Find the second derivat
{ "pile_set_name": "DM Mathematics" }
*b) + 2*b**2 - 3*b**2 + 3*b**2 as c + i*b**2 + j*b and give c. 0 Rearrange -64*o + 4*o - 35*o to the form t + s*o and give s. -95 Express -684*n + 41*n - 330*n as c + u*n and give u. -973 Rearrange (27 + 682 - 276)*(1 - 1 - x**3)*(-4 + 0 + 2) to y*x + b*x**2 + p*x**3 + g and give p. 866 Express 10*i**3 + 10*i**2 + 2*i**4 - 3*i**4 + 0*i**4 + 0 - 11*i**3 - 1 in the form x*i**2 + w + k*i + f*i**4 + d*i**3 and give k. 0 Express ((-1 + 2 + 1)*(-u + 3*u + u) - u + 2*u + u)*(1 - 2 + 0) - 338*u + 426*u + 445 - 446 as d + g*u and give g. 80 Express -15*j + 22*j - 2*j + 15*j + 26*j as h + v*j and give v. 46 Express 5 - 2 + 0 + 6 - 9*d in the form g + x*d and give x. -9 Express ((-2 + 0 + 3)*(-n**2 - 3*n**2 + 2*n**2) - n**2 - 3*n + 2*n**2 + 2*n - 1)*(2317 - 2317 - 202*n) in the form y*n**3 + v*n**2 + d*n + x and give d. 202 Express -z + 2 - 7*z + 2*z - 5*z in the form s + v*z and give s. 2 Express 15*u**3 + 4*u - 3*u - 8*u**4 - 14*u**3 in the form h*u**4 + r*u + w*u**3 + v*u**2 + d and give w. 1 Rearrange -20*g - 48*g**2 + 20*g - 1 + (-2 - g + 2)*(2*g - 3*g + 3*g) + (g - 2*g + 2*g)*(2*g + 0*g - g) - 2*g**2 + 6 - 6 to r + z*g**2 + y*g and give y. 0 Express (-5 + 2 + 2)*((13*z**2 + 7*z**3 - 13*z**2)*(4 + 1 - 3)*(17*z + 6*z - 17*z) + 2*z**4 - 5*z**4 + 2*z**4) as s*z**3 + v*z**2 + g*z**4 + q + w*z and give g. -83 Rearrange (5*p - 5*p - 2*p**2)*(-1486 + 4461 - 1487 - 191*p - 1488) to c*p**3 + m*p + h*p**2 + g and give c. 382 Rearrange u**2 + 0*u**2 - 6 + 75*u - 41*u - 36*u to the form h*u + r + g*u**2 and give h. -2 Express (-m + 2*m + 2*m)*(5 + 33 - 118*m - 39) as v*m + u + t*m**2 and give v. -3 Express 13*d**2 - 42*d**2 + 27*d**2 + 128 as c + h*d**2 + w*d and give h. -2 Express (5*b**2 + b**2 - 4*b**2)*(8 - 54 - 81) as d + z*b**2 + t*b and give z. -254 Rearrange (12 - 12 + 4*a)*(-a**2 + 2*a**2 + a**2) + (-a + 0 + 0)*(-a**2 + 4*a**2 - a**2) + 198 - 2*a**3 - 198 to v*a + r*a**3 + i*a**2 + f and give r. 4 Express (-27 + 19 + 14)*(-292*o**2 - 70*o**2 - 334*o**2 + 36*o**2 + 79*o**2) in the form k*o**2 + j + g*o and give g. 0 Express 63*p - 5*p**4 + 2*p**2 - p**3 + 61*p - 123*p in the form m*p**3 + k*p + u + f*p**2 + h*p**4 and give k. 1 Rearrange (-3*b + b + 4*b)*(-149 - 112 - 148)*(3*b + b - b) to the form n*b + f + h*b**2 and give h. -2454 Rearrange 0 + 0*j**3 + 2 - j**3 + (-2*j - 3*j + 4*j)*(33*j - 33*j + 43*j**2)*(0 + 0 + 1) to v*j**3 + q*j**2 + r*j + y and give r. 0 Express 592*b**2 + 6*b**3 - 4*b**3 - b - 604*b**2 as l + f*b**2 + i*b**3 + p*b and give p. -1 Express (8*x**2 - 15*x**2 - 7*x**2)*(3 + 1 - 3) + (-6*x + 5*x - 3*x)*(x - x - x) in the form c*x + i*x**2 + f and give i. -10 Rearrange -c**3 + 33*c**2 - 15*c + 12*c + 44*c**2 - c**2 to the form v*c**2 + d*c**3 + q + h*c and give v. 76 Rearrange -3*f - 851 - 45*f**2 + 848 + 15*f**2 to x + j*f**2 + p*f and give j. -30 Rearrange -11 - 3*x**2 + 57*x + 8 - 29*x + 83*x**3 - 28*x to the form p + j*x**2 + u*x**3 + l*x and give j. -3 Rearrange -161 - 157 - 537*s**2 + 318 - 228*s**2 to the form q + f*s + v*s**2 and give v. -765 Rearrange 9*d + 8*d + 10*d + 2*d**2 - 34*d + 2 to the form q*d + s*d**2 + t and give t. 2 Express b**3 - b**3 + 17*b**2 - b**4 + 3 + 8*b**2 as o*b**4 + r*b**3 + i*b**2 + p + x*b and give i. 25 Rearrange 6*j**4 + 19*j - 9*j**4 - 9*j - j + 40*j + j**3 to n*j**4 + t + c*j**3 + s*j**2 + q*j and give c. 1 Express 9 - 30*y**2 - 19 + 11*y**2 as u*y + n + g*y**2 and give n. -10 Express (3 + l - 3)*(-69 - 68 - 70) - 10*l + 6*l - l in the form r + v*l and give v. -212 Express 2*m**2 + 2*m**2 - 2*m**2 + (-2 + 2 + m**2)*(65 + 12 + 15) as k + l*m + p*m**2 and give p. 94 Rearrange -129*a**2 + 86*a**2 - 246*a**2 - 73*a**2 to the form m*a + c*a**2 + w and give c. -362 Express k + 2*k - 6*k + 665*k**2 + 2 - 663*k**2 + k**4 + 3*k**3 as i*k + x*k**2 + o + z*k**4 + q*k**3 and give o. 2 Rearrange -104*y - 184*y - 19*y to r + k*y and give k. -307 Rearrange -3*c**2 + c**2 + 0*c**2 + (-4*c - 3 + 2*c + 1)*(4*c + 4*c - c) to the form h*c + b + d*c**2 and give d. -16 Rearrange 305*x - 11 + 68*x - 9 - 9 + 26 to g + w*x and give g. -3 Rearrange -2082*o**4 + 5 + 104*o - 6 + 2084*o**4 to the form r*o**2 + s*o**4 + k + l*o**3 + c*o and give k. -1 Express -82*o**3 - 14*o + 17*o - 7*o + (o**2 + 4*o**2 - 3*o**2)*(-o + 2*o + 0*o) in the form j*o + v*o**3 + x*o**2 + g and give v. -80 Rearrange (1330 + 576 + 519 - 4300)*(-2*w - 3*w + 4*w) to the form z + l*w and give l. 1875 Rearrange -1 + 7 + 62*b**2 + 56*b**2 + 2*b - 119*b**2 to w + i*b**2 + q*b and give q. 2 Rearrange -5*u**2 + 3*u**3 + 37*u - 44*u - 4*u**3 + 3*u**2 + 3*u**4 to the form s*u**4 + m + v*u**2 + c*u**3 + b*u and give b. -7 Rearrange -3*c**3 + 14*c**2 - 28*c**2 - 8 + 15*c**2 to the form u*c**3 + a + l*c + o*c**2 and give a. -8 Express (-306*y + 306*y + 115*y**2 + (-y + 0 + 0)*(-y - 6*y + y))*(0 + 0 + 2*y**2) as g*y**2 + p*y**4 + i*y + r*y**3 + o and give i. 0 Express (-2 - 2 - 2)*(23 + 13 - 18)*(1 + 2*t - 1) in the form d + g*t and give g. -216 Rearrange 78*z**2 - z**4 - z**3 - z**3 - 74*z**2 + 0*z**4 - 1 + 3 to the form a*z + n*z**2 + s + h*z**4 + w*z**3 and give h. -1 Express (11*i - 3002 + 3002)*(-2*i**2 - 3*i**2 + 4*i**2) + (-i**2 + 0 + 0)*(4*i + 2*i - 5*i) as t + y*i**3 + v*i**2 + f*i and give y. -12 Express -57*r**2 + 198*r**2 + 35*r**2 in the form m*r**2 + h + j*r and give m. 176 Express (-3*x**4 + x**4 - x**4 + (2 - 2 + x**2)*(0*x + 0*x - 2*x**2))*(12 + 10 - 3) as o*x**2 + s + n*x**3 + k*x**4 + u*x and give k. -95 Rearrange (0*t**4 - 3*t**4 + 2*t**4)*(-10 - 3 + 7 + 1 + 0 + 0 + (0 - 2 + 1)*(24 - 17 + 20)) to j*t**3 + h*t**4 + d*t + k*t**2 + u and give h. 32 Express 135*v**2 - 6*v**4 - 286*v**2 - 1 - 2*v + 145*v**2 in the form r*v**2 + i*v + y + o*v**4 + h*v**3 and give r. -6 Express 20 - 21 + 25 + 2*i + 137 in the form j + z*i and give z. 2 Express -12 - 8 - 216*s + 20 + 0 as w*s + m and give m. 0 Express (-5 + 6 + 5)*(8 + 1 + 2)*(2 - 2 + 2*r)*(-r - 3*r + 2*r) in the form y*r + q + i*r**2 and give i. -264 Express 4*o**4 - 3*o**4 - 2*o**4 + (6*o**3 + 30*o**3 + 34*o**3)*(-2*o + 7 - 7)*(-1 + 6 - 2) as p*o**3 + k + w*o + z*o**4 + t*o**2 and give z. -421 Rearrange (-154*t**2 + 64*t**2 + 187 + 91*t**2)*(-4*t + t + 4*t) to the form u*t**3 + v + k*t + m*t**2 and give k. 187 Rearrange 18*s**4 + 37*s**4 - 16*s**4 + 3*s**2 + 572*s**3 + 24*s**4 - 570*s**3 to m*s**4 + p*s + c + u*s**3 + t*s**2 and give m. 63 Express (0*j**3 - j**3 - j**3)*(-5 - j - 11 + 1)*(0 - 1 + 3) + 2*j**4 - j**4 + 0*j**4 as p + b*j**3 + y*j**4 + h*j**2 + k*j and give p. 0 Rearrange -1 - 5*n**3 + 253*n + 2*n**2 - n**2 - 250*n + 2*n**3 to l*n**3 + v + s*n + j*n**2 and give v. -1 Express -y - 2 + 28058*y**2 - 28058*y**2 + 158*y**3 as l*y**2 + c + k*y + u*y**3 and give u. 158 Express -48*r + 7*r**2 - 2*r**2 + 2*r**2 - 3*r**2 in the form b*r + h + d*r**2 and give d. 4 Rearrange (38 + 47 - 104)*(-2 + 2 - d) to q + c*d and give c. 19 Express 13 - 21*m**4 - m**3 + m**3 + 25*m**4 + 13*m - 11*m as i*m**3 + j*m + t + u*m**2 + q*m**4 and give t. 13 Express -2506 + 447*u + 2506 as g + i*u and give i. 447 Express (-3*h + h + 3*h)*((2*h - 2*h - h**3)*(1 + 0 - 4) + 0*h**3 - 3*h**3 + 9*h**3) in the form u*h**4 + d + g*h**3 + w*h**2 + c*h and give g. 0 Express 230*b - 111*b**3 + 53*b**3 + 60*b**3 in the form m*b + t + x*b**2 + z*b**3 and give z. 2 Express (0*j - 3*j + j)*(j + 1 - 1) + (5*j - 3*j - 3*j)*(-4*j + j + 4*j) + 4220*j - 128*j**2 - 4220*j in the form c*j + a*j**2 + m and give a. -131 Rearrange (-3 + 1 + 3)*(2 - 2 + 2*l**4) + 210294*l**3 - 2 - 125*l**4 - 210294*l**3 + 3*l to n*l**2 + k*l**4 + q + h*l + p*l**3 and give k. -123 Express 1924*w**3 - 1011*w**3 + w - 1103*w**3 in the form s*w**3 + m*w + b + x*w**2 and give m. 1 Rearrange -2 - 2 + 6 + 2 - 1 - 50*b to y + o*b and give y. 3 Rearrange 2*b**3 - 10*b**3 - 14*b**2 + 6*b**3 - b**2 to the form z*b + y*b**2 + x*b**3 + t and give y. -15 Express -297 + 39*z**2 + 297 - 651*z**2 + 61*z**2 in the form d*z + h + w*z**2 and give w. -551 Rearrange (-2 - 1 + 5)*(-4 + 2 + 3)*(4*z**4 - 3*z**4 + 0*z**4) to s*z + x*z**4 + u + f*z**3 + n*z**2 and give x. 2 Rearrange (2 - 2 + 2*r)*(-84 + 2101*r**2 - 87 + 171 + 539*r**2) to the form h*r + a*r**2 + i + l*r**3 and give l. 5280 Express -7*f**3 - 2 + 2*f**3 + 12 in the form m*f + d*f**2 + g + p*f**3 and give g. 10 Expr
{ "pile_set_name": "DM Mathematics" }
in 4, n, t? t Let l = -6.03 - -6. Let q = 72096 - 72098. Which is the biggest value? (a) l (b) -30 (c) q a Let u = -1.696 - 2.304. Let b be (-5)/3 + 0/2. Let c = -94/85 + 12/17. What is the biggest value in u, c, -5, b? c Let o = -0.3 + 0.2. Let y = -2 - -2.1. Let d = -127547/10 + 76529/6. What is the third biggest value in y, o, 1, d? y Let n = -34.387 + 32.96. Let l = n + -0.573. Which is the biggest value? (a) l (b) 96 (c) 0.4 b Let p = 206 + -204.9. Which is the third smallest value? (a) 14/5 (b) p (c) 4 c Let i be 10/(-4) - 2/(-4). Let l = -7.3739 + 3.3739. Which is the biggest value? (a) l (b) -3 (c) i (d) 7 d Let x = -1109.5 - -1109.5. What is the second smallest value in 3, -1/4, x, 47? x Let h(d) = d**2 - 35*d - 108. Let f be h(38). What is the third smallest value in 1/3, -2/23, -9, f? 1/3 Let g = -28889356/821 + 35188. Which is the third biggest value? (a) g (b) -0.4 (c) -3 c Let l = -228.7 - -228.3. Which is the smallest value? (a) -8.2 (b) l (c) 0.3 a Let l = 658 + -708. Let o = 0.244 - 0.244. What is the smallest value in l, o, 0.2? l Let g = 88.78 - 84. Let q = g - -0.22. Let k be (0/2 - 1) + (-16)/(-80). Which is the smallest value? (a) q (b) k (c) -2 c Let i be (-12)/3*((-13580)/168 - -81). Let q = 1101.01 + -1096. Let t = q + -0.01. What is the second smallest value in 13, i, t, -1/3? -1/3 Let f = 12 + -10. Let j = 1492 + -1506. What is the fourth smallest value in 0, j, -2/7, f? f Let o = 3 - 3.1. Let v = 603/44 - 148/11. Let u = -129 - -129.2. Which is the second biggest value? (a) v (b) -4/7 (c) u (d) o c Let k = 368.5 + -368.6. Which is the fourth biggest value? (a) -1 (b) k (c) 13 (d) 2/17 a Let r = 2.7272 + -0.7272. What is the fifth biggest value in -0.4, 1/2, 3, -2/13, r? -0.4 Let c be (28 + -30)/(((-2)/32)/1). Let j be -3*1/(-5)*20/c. What is the third smallest value in -7, j, -3? j Let k be 124/32 - 4 - (-3769)/9416. Let p = -10/107 + k. What is the third biggest value in p, 2, -6, -4? -4 Let v(y) = y**3 - 22*y**2 - 406*y + 7. Let p be v(-12). What is the fifth smallest value in -0.5, 0.1, 0.08, p, -1/7? 0.1 Let d = 2858 + -8576/3. Let c be (-3*(-5)/12)/1. What is the second biggest value in d, 0.3, c? 0.3 Let t be (-18)/12*(-1 + -1). Let x = -0.44 + -0.06. Let g = -25.6 - -25.56. Which is the smallest value? (a) x (b) 0.2 (c) g (d) t a Let i = 17.2 - 15. Let k = 12002/70367 - -72/6397. What is the biggest value in 4/3, k, i? i Let k = 13864.5 - 13864. What is the second biggest value in 2/7, k, -31? 2/7 Let p = 26/329 + -892/2961. Which is the smallest value? (a) 3 (b) p (c) 328 (d) 1/8 b Let u(q) = -4*q**2 - 462*q + 3330. Let m be u(7). Which is the third smallest value? (a) m (b) 4 (c) 11 (d) 0 b Let r = 2732 + -2729. What is the fourth smallest value in r, 2/13, -4, 48? 48 Let u = -636.6 - -456. Let k = 226 + u. Let w = k - 45. What is the fourth smallest value in w, -5, 1, 17? 17 Let h be (2 - 1) + -2*2. Let l(p) = -p**2 + 12*p - 14. Let w be l(3). Let x = w + -14. Which is the third smallest value? (a) x (b) 4 (c) h (d) 1/6 d Let d = 6/51097 - -191409284/664261. Let k(g) = -42*g - 6. Let h be k(-7). Let b = d - h. What is the third smallest value in -0.2, -3, b? b Let k = -4628 - -4627.7. What is the second smallest value in k, 0.5, -3, 5, 3/94? k Let c = 3.6 - 3.92. Let g = c + 0.52. Let n = -6.12 - -5.92. What is the third smallest value in 49, n, g? 49 Let x = 0.17472 - 0.43972. What is the third biggest value in 3, -0.2, 0.3, x? -0.2 Let t = 113/4 + -29. Let z be (12*6/110)/(26/13). Let y = -3/11 - z. What is the second smallest value in y, t, 3? y Let o = -139.7 + 177. Let h = -37 + o. Let j = 3/17 - -8/51. Which is the smallest value? (a) j (b) h (c) 5 b Let i = 7023/28124 - -2/7031. Let p = -37.92 - -38. What is the biggest value in p, i, 0.5, 2/5? 0.5 Let m be 18/(-636)*(-1)/((-45)/12). Suppose 2*p = -2, r - 3*r + p = 5. Which is the second smallest value? (a) -0.2 (b) m (c) r a Let k be (315/(-14))/(-9)*-2. Let n = -0.6 + 1. What is the third biggest value in 2/15, k, -4, n? -4 Suppose 0 = -2*y + 9 + 25. Let o = y - 18. Let k = 2.153 - -0.847. What is the third biggest value in o, 5/3, k? o Let d = 92.63 + -92.7. Which is the third smallest value? (a) -25 (b) 0.3 (c) d b Suppose -6*n + 3*n + 11 = 5*j, 0 = 4*j - 4*n - 28. Let t = -95.86 - 0.14. Which is the third biggest value? (a) j (b) 0.2 (c) t c Let i be ((-105)/(-2100))/((-6)/(-16)). Which is the third smallest value? (a) -7/2 (b) i (c) -2/21 (d) -109 c Let k = -3 - -2. Let g be ((-52332)/(-112))/21 + -17. Which is the third smallest value? (a) 4 (b) g (c) k b Let b be 62/372 - 1/(-3). What is the third biggest value in -5, -13/2, b? -13/2 Let d = 373.29 + 3.71. Let v = d + -377.4. Which is the third smallest value? (a) -0.3 (b) v (c) -1 a Let p(g) = g**3 - 13*g**2 + 38. Let f be p(8). Let c = f + 280. What is the biggest value in -1, c, 0.2, 17/4? 17/4 Let y = 7/69 - -5/1311. Let p = 0.727 + 4.273. What is the second biggest value in 4, -1/5, p, y? 4 Let v = 6 + -9. Let x = -814.447 + 814. Let z = x + 0.047. Which is the second biggest value? (a) -0.5 (b) z (c) 1/7 (d) v b Let h(b) = -5*b + 22. Let m be h(4). Let q be m/(-3) - (-2)/(-6). Let n be (q/(-36))/(9/(-24)). What is the third smallest value in 0.5, -0.4, n? 0.5 Let w be (0 + 4/3)*(21 + 1725/(-80)). Which is the third biggest value? (a) w (b) -1/4 (c) 4 (d) -2/47 b Let d = -98.2 - -89. Let x = -187.2 - -172. Let s = d - x. Which is the second biggest value? (a) -1/4 (b) s (c) -2 a Let d = 11431/3 + -3811. Suppose 3*r + 2 = 5*r. Which is the second biggest value? (a) d (b) -5 (c) r a Let p(y) = 40*y + 39*y + 63 - 65*y. Let r be p(-5). Which is the third smallest value? (a) 2/19 (b) r (c) 5 (d) 0.5 d Let l = -19627 + 19627. Which is the smallest value? (a) 101 (b) l (c) 3 (d) -0.4 d Let r = -16379 - -851713/52. Which is the smallest value? (a) 2/3 (b) 2/7 (c) 0.2 (d) r d Let j = -58 - -81. Suppose 0 = -3*a + 3*l - 18, j = 6*a - 10*a + 3*l. What is the third smallest value in a, 8/11, 4, -3? 8/11 Let d = -16957 + 16956.3. What is the fifth smallest value in 3, 2, d, -0.2, 2.02? 3 Let l be ((-54)/(-10) - 5) + (-108)/195. Let y be 1 + 6/((-234)/33). Which is the third biggest value? (a) l (b) y (c) -5 (d) -1/8 a Let t = -81.967 + 82. Let c = 91003/5 - 18201. What is the fourth smallest value in 2/7, 2/9, c, t? 2/7 Let u = 942.2 - 942.5. Suppose 3*t + 12 = 0, 0 = -5*y - 3*t - 1 + 9. Let s = 5 - 2. Which is the second smallest value? (a) s (b) y (c) u (d) 0 d Let x = -27.32 + 27. Let g = -2.32 - x. Let h = 0.1336 + -0.0336. Which is the smallest value? (a) 2/9 (b) h (c) 0.3 (d) g d Let p = -115.8 + 119.8. Which is the second smallest value? (a) p (b) 10 (c) -2/27 a Let p = -33 - 17. Let u = -1058 + 1108.5. Let d = p + u. Which is the third smallest value? (a) d (b) 1/4 (c) -0.4 a Let g = 15 + -11. Let f = g - 3. Let w be -5*(-9 - 317/(-35)). Which is the biggest value? (a) f (b) 0.5 (c) w a Let p = -62.18 - -62.98. Which is the smallest value? (a) 5 (b) -3/2 (c) -1/5 (d) p b Let n = 30 - 31.125. Let m = n - -0.125. What is the second biggest value in m, -7, -0.1? m Let i be 27/21 + (-1 - 0). Let b be (-3)/((-3)/(-8)*14/21). Let a be 10/30*-6 + b/(-7). What is the second smallest value in -3, -2/5, i, a? -2/5 Let x = -0.095 - -0.029. Let d = -0.098 + -0.102. What is the second biggest value in -0.1, x, d? -0.1 Let p = -3691.5 + 3691. Which is the second biggest value? (a) p (b) -0.2 (c) 1/2 (d) -4 (e) -0.001 e Let v be (54/(-30))/(-9) - 174/(-1080)*-4. Which is the second smallest value? (a) -1 (b) -2/33 (c) -0.4 (d) v d Let k = 900 + -902. What is the smallest value in 0.2, k, -12, -0.11? -12 Let n(i) = i**3 + 79*i**2 + 50*i - 2199. Let h be n(-78). What is the third smallest value in 0.1, h, -2, 4, -1? -1 Let l be 17/10 - 5/25. Let m = 33/128 - 751/1920. What is the third smallest value in m, -8, l? l Let l = 0 + 0. Let g = 10.9 + -1.9. Let v = 3156815/4 + -789204. Which is the second biggest value? (a) g (b) v (c) l c Let s(r) = -2*r**3 + 13*r**2 - 2*r - 17. Let p be s(6). Suppose -3*w - 1 = 11. Which is the third smallest value? (a) p (b) w (c) 0.4 (d) -1
{ "pile_set_name": "DM Mathematics" }
*w**2 - 6*w + 9 What is the s'th term of -28577, -37421, -46265, -55109? -8844*s - 19733 What is the b'th term of 223873, 223876, 223869, 223846, 223801? -b**3 + b**2 + 7*b + 223866 What is the d'th term of 29843, 59739, 89669, 119651, 149703, 179843, 210089, 240459? 3*d**3 - d**2 + 29878*d - 37 What is the c'th term of -2457823, -2457808, -2457779, -2457730, -2457655? c**3 + c**2 + 5*c - 2457830 What is the c'th term of 17475, 17456, 17443, 17436, 17435, 17440? 3*c**2 - 28*c + 17500 What is the s'th term of -2115, -16396, -55047, -130254, -254203, -439080, -697071, -1040362? -2031*s**3 + s**2 - 67*s - 18 What is the q'th term of 667485, 667482, 667479? -3*q + 667488 What is the m'th term of 981, 1921, 2741, 3387, 3805, 3941, 3741, 3151? -9*m**3 - 6*m**2 + 1021*m - 25 What is the q'th term of 476417, 1905701, 4287851, 7622867, 11910749, 17151497? 476433*q**2 - 15*q - 1 What is the o'th term of 1689271, 1689249, 1689217, 1689181, 1689147, 1689121, 1689109? o**3 - 11*o**2 + 4*o + 1689277 What is the u'th term of -14876, -29853, -44866, -59909, -74976, -90061? u**3 - 24*u**2 - 14912*u + 59 What is the s'th term of 10686, 42926, 96722, 172074, 268982? 10778*s**2 - 94*s + 2 What is the s'th term of 945, 5812, 18529, 43020, 83209, 143020? 654*s**3 + s**2 + 286*s + 4 What is the z'th term of -226266, -229935, -233604? -3669*z - 222597 What is the a'th term of 22120, 44517, 66914, 89311? 22397*a - 277 What is the h'th term of 10417, 10035, 9399, 8509? -127*h**2 - h + 10545 What is the j'th term of 1707, 3642, 5581, 7530, 9495, 11482, 13497? j**3 - 4*j**2 + 1940*j - 230 What is the u'th term of -147541, -147060, -146577, -146092, -145605? u**2 + 478*u - 148020 What is the p'th term of -22602137, -45204277, -67806417, -90408557, -113010697? -22602140*p + 3 What is the h'th term of -612026330, -612026339, -612026362, -612026405, -612026474? -h**3 - h**2 + h - 612026329 What is the x'th term of 5825, 11548, 17271, 22994, 28717, 34440? 5723*x + 102 What is the d'th term of -25058600, -50117206, -75175812, -100234418? -25058606*d + 6 What is the l'th term of 1015902, 1015892, 1015874, 1015848, 1015814, 1015772, 1015722? -4*l**2 + 2*l + 1015904 What is the g'th term of -14456, -24257, -34058, -43859, -53660? -9801*g - 4655 What is the j'th term of 3061, 5311, 7561, 9811? 2250*j + 811 What is the z'th term of 2401, 17316, 57265, 134764, 262329, 452476, 717721? 2086*z**3 + z**2 + 310*z + 4 What is the t'th term of -20909, -83583, -188041, -334283? -20892*t**2 + 2*t - 19 What is the o'th term of 4319, 17431, 39265, 69821, 109099, 157099? 4361*o**2 + 29*o - 71 What is the a'th term of -65904, -65740, -65508, -65202, -64816, -64344, -63780, -63118? a**3 + 28*a**2 + 73*a - 66006 What is the g'th term of -3636, -29448, -99586, -236214, -461496? -3694*g**3 + g**2 + 43*g + 14 What is the j'th term of -46509, -336453, -1123447, -2656017, -5182689, -8951989, -14212443, -21212577? -41421*j**3 + j**2 - 5089 What is the d'th term of 301560, 301114, 300668, 300222, 299776? -446*d + 302006 What is the a'th term of -960, -1912, -2860, -3804, -4744, -5680? 2*a**2 - 958*a - 4 What is the z'th term of 2236133, 8944510, 20125127, 35777984, 55903081? 2236120*z**2 + 17*z - 4 What is the c'th term of -317, -349, -115, 385, 1151? 133*c**2 - 431*c - 19 What is the v'th term of -4308, -4262, -4216? 46*v - 4354 What is the j'th term of -4143, -2282, -421, 1440, 3301, 5162? 1861*j - 6004 What is the b'th term of -1918506, -3837541, -5756576, -7675611, -9594646, -11513681? -1919035*b + 529 What is the a'th term of -6769, -9714, -17699, -33244, -58869, -97094? -420*a**3 - 5*a - 6344 What is the u'th term of 434, 3017, 7314, 13325, 21050, 30489, 41642? 857*u**2 + 12*u - 435 What is the p'th term of 460712, 460698, 460686, 460676, 460668, 460662, 460658? p**2 - 17*p + 460728 What is the b'th term of 6271, 12597, 19039, 25651, 32487, 39601, 47047, 54879? 9*b**3 + 4*b**2 + 6251*b + 7 What is the s'th term of -4608, -9273, -14226, -19611, -25572, -32253, -39798? -24*s**3 - 4497*s - 87 What is the g'th term of 108, -137, -548, -1125, -1868, -2777? -83*g**2 + 4*g + 187 What is the q'th term of -491, -1980, -4601, -8468, -13695, -20396, -28685? -19*q**3 - 452*q**2 - 20 What is the l'th term of -21054864, -42109727, -63164592, -84219459? -l**2 - 21054860*l - 3 What is the c'th term of -1763, -7027, -15811, -28115, -43939, -63283? -1760*c**2 + 16*c - 19 What is the u'th term of 3613, 7259, 10919, 14593? 7*u**2 + 3625*u - 19 What is the n'th term of 7798763, 7798761, 7798759, 7798757, 7798755, 7798753? -2*n + 7798765 What is the j'th term of 2177, 4291, 6505, 8819, 11233, 13747? 50*j**2 + 1964*j + 163 What is the j'th term of 35267, 46053, 56839? 10786*j + 24481 What is the c'th term of 476, 1205, 1876, 2495, 3068, 3601, 4100, 4571? c**3 - 35*c**2 + 827*c - 317 What is the t'th term of 10319, 20785, 31255, 41735, 52231, 62749, 73295, 83875? t**3 - 4*t**2 + 10471*t - 149 What is the y'th term of 88148, 88200, 88286, 88406, 88560, 88748, 88970? 17*y**2 + y + 88130 What is the b'th term of -36503, -76906, -117309? -40403*b + 3900 What is the d'th term of -761, 2833, 6407, 9955, 13471, 16949? -d**3 - 4*d**2 + 3613*d - 4369 What is the r'th term of -697, -1782, -3603, -6160, -9453, -13482? -368*r**2 + 19*r - 348 What is the t'th term of -5552331793, -5552331792, -5552331791, -5552331790? t - 5552331794 What is the h'th term of -3937675, -3937671, -3937667, -3937663, -3937659, -3937655? 4*h - 3937679 What is the s'th term of 4338673, 8677344, 13016015? 4338671*s + 2 What is the d'th term of -13121616, -13121623, -13121630, -13121637? -7*d - 13121609 What is the y'th term of -213477, -213470, -213467, -213468, -213473? -2*y**2 + 13*y - 213488 What is the n'th term of 157136, 157398, 158094, 159440, 161652, 164946, 169538? 36*n**3 + n**2 + 7*n + 157092 What is the l'th term of -164699, -329381, -494059, -658733, -823403, -988069, -1152731? 2*l**2 - 164688*l - 13 What is the t'th term of 1109, 1649, 2387, 3323? 99*t**2 + 243*t + 767 What is the o'th term of -220102, -220101, -220098, -220093? o**2 - 2*o - 220101 What is the f'th term of -11287, -45428, -102335, -182008, -284447? -11383*f**2 + 8*f + 88 What is the h'th term of -10883, -21866, -32855, -43850, -54851, -65858, -76871? -3*h**2 - 10974*h + 94 What is the s'th term of -7056, -6876, -6392, -5454, -3912, -1616, 1584? 25*s**3 + 2*s**2 - s - 7082 What is the z'th term of 7984, 921, -6142, -13205? -7063*z + 15047 What is the m'th term of 85244, 340851, 766854, 1363247, 2130024, 3067179? -m**3 + 85204*m**2 + 2*m + 39 What is the r'th term of 3169787567, 3169787568, 3169787569? r + 3169787566 What is the i'th term of -622786, -2491174, -5605132, -9964642, -15569686, -22420246, -30516304, -39857842? 3*i**3 - 622803*i**2 + 14 What is the u'th term of 8018, 39800, 92770, 166928, 262274, 378808, 516530? 10594*u**2 - 2576 What is the w'th term of 49446, 49008, 48278, 47256, 45942, 44336, 42438? -146*w**2 + 49592 What is the i'th term of 869960909, 869960907, 869960903, 869960897, 869960889? -i**2 + i + 869960909 What is the u'th term of 387946, 387953, 387966, 387985? 3*u**2 - 2*u + 387945 What is the o'th term of -531761, -531780, -531833, -531938, -532113, -532376, -532745, -533238? -3*o**3 + o**2 - o - 531758 What is the z'th term of 426730, 426466, 426202, 425938? -264*z + 426994 What is the z'th term of 570, 536, 440, 282, 62, -220, -564? -31*z**2 + 59*z + 542 What is the z'th term of 1012, 3751, 8214, 14401, 22312, 31947, 43306? 862*z**2 + 153*z - 3 What is the p'th term of -11973, -95715, -322979, -765525, -1495113, -2583503? -11960*p**3 - p**2 - 19*p + 7 What is the q'th term of 5421892, 10843827, 16265762, 21687697, 27109632, 32531567? 5421935*q - 43 What is the l'th term of -3141741, -6283476, -9425201, -12566910, -15708597? l**3 - l**2 - 3141739*l - 2 What is the u'th term of -3527, -3510, -3435, -3302, -3111? 29*u**2 - 70*u - 3486 What is the p'th term of 9653831, 19307661, 28961491? 9653830*p + 1 What is the a'th term of -21366, -42487, -63608, -84729, -105850? -21121*a - 245 What is the d'th term of -29322665, -58645348, -87968031, -117290714? -29322683*d + 18 What is the j'th term of 67885474, 67885477, 67885480, 67885483? 3*j + 67885471 Wh
{ "pile_set_name": "DM Mathematics" }
sing order. 3, 2, -2, j Suppose 4*h + 88 - 16 = 0. Put h, 2, -2 in decreasing order. 2, -2, h Let i = -103 - -100. Sort 5, 10, i, -2. i, -2, 5, 10 Let m = -1527 + 16799/11. Let v = -0.2 + 0. Sort v, 0.4, m in increasing order. v, m, 0.4 Let a = -1839 - -1839.5. Let w = 0.4 + 0.3. Sort w, 0.4, a in decreasing order. w, a, 0.4 Let l = 0.14 - 0.2. Let c = l - 0.34. Suppose -53*r - 43*r + 480 = 0. Put r, -2/7, c in ascending order. c, -2/7, r Suppose 13 + 38 = 3*g. Let z = g + -3. Suppose -z = -f - 10. Sort 3, 1, f. 1, 3, f Let x(d) = 2*d**3 + 7*d**2 + 3*d - 2. Let q be x(-3). Sort -3, -5, q, 1 in descending order. 1, q, -3, -5 Let f be ((0 - -1) + -1)*-1. Suppose 3*j + 1 = 10. Suppose 8*i = j*i + 15. Put -2, i, f in increasing order. -2, f, i Let j be 6/(-11) + 1*-5 + 72/132. Let s = 4 + -6. Sort 4, s, -3, j in decreasing order. 4, s, -3, j Suppose -9 = 3*x, -4*x = 4*m - 12 - 4. Suppose m = -3*y - h, -3*y + 5*h + 22 = -5*y. Put -2/11, y, -3, -3/7 in increasing order. -3, y, -3/7, -2/11 Suppose -172*u + 155*u + 17 = 0. Sort u, -13, -5 in increasing order. -13, -5, u Let r be 2 + (1 - -1) + -36. Let y = r - -29. Sort -5, 5, y, -4 in descending order. 5, y, -4, -5 Suppose i + i = 0. Let r = 5746 + -5745.95. Put i, -5, r in increasing order. -5, i, r Let v = -2.032 - -2.032. Put v, -11, -24 in ascending order. -24, -11, v Let u(g) = 5*g**3 - 14*g**2 + 5*g + 1. Let y(r) = -r**3 + r**2 - 1. Let n(x) = -u(x) - 3*y(x). Let p be n(5). Sort -5, 3, -1, p. -5, -1, p, 3 Let g be 3*50*4/12. Let t = 45 - g. Sort 0.1, 0.4, t, 0.5 in descending order. 0.5, 0.4, 0.1, t Let u = -13 + 40/3. Let i = -186 + 313. Let x = i + -132. Sort 1, u, x in decreasing order. 1, u, x Let q = -1466.03 - -1460. Let r = q - -0.03. Put r, 0.5, 6/11 in ascending order. r, 0.5, 6/11 Let i be (-28 - -33)/((-5)/(-1)). Put 2, 0, i, -2 in descending order. 2, i, 0, -2 Let q be (-12004)/20 + 8 + 4/(-5). Sort q, 0, -5 in decreasing order. 0, -5, q Suppose -16 = 36*g - 32*g. Sort 1/2, 0.4, g, 12 in ascending order. g, 0.4, 1/2, 12 Let d(s) = s**2 - 3*s + 1. Let n be d(2). Let l be (-1 + 1)/(n + 2). Sort -3, l, -2 in descending order. l, -2, -3 Let q = 14 - 26. Let j be ((-5)/2)/(6/q). Sort j, 4, -1/4 in descending order. j, 4, -1/4 Let i(v) = v**3 + 2*v**2 - 5*v - 3. Let z be i(-3). Suppose -16 = 4*c + 4. Let g = 0.7 + -1. Sort g, c, z in descending order. z, g, c Let b(i) = i - 14. Let w be b(8). Put -3, w, -2 in increasing order. w, -3, -2 Let f be 2/(-4 + (-1)/(-1)). Let o be (-9 - 49/(-5))*5/2. Suppose 0 = -o*p - a + 27, 19 = 3*p - 4*a - 16. Sort -0.3, p, f in descending order. p, -0.3, f Suppose 3*i = q, -12*q + 13*q + 2 = 5*i. Sort i, -2/53, 6. -2/53, i, 6 Let o = -1.987 + -0.013. Suppose -2*f + 0 = -3*w - 5, -f - 17 = 5*w. Sort 0.4, w, 0.1, o in increasing order. w, o, 0.1, 0.4 Let b(d) = -d + 3. Let q be b(3). Let v = 173 - 178. Put q, 1, v, 5 in increasing order. v, q, 1, 5 Let b = -21 + 35. Let u(v) = v - 14. Let d be u(b). Suppose d = r - 0*r + g + 3, 0 = -2*r - 4*g - 12. Sort 5, -4, r in ascending order. -4, r, 5 Let r be 1/(-4) + (-10)/(-8). Suppose 3*s = -2*q - 60, 3*s - 2*q + 57 = -3*q. Let f = s + 18. Sort f, r, 2 in increasing order. f, r, 2 Let l = 627 + -631. Sort l, -1, -4/3, -2/5. l, -4/3, -1, -2/5 Let y = -1 - -3. Suppose 2*z = -2*w - 32 - 24, 3*w + 55 = -y*z. Let o = z + 26. Put o, -2, -4 in ascending order. -4, o, -2 Let a(w) be the second derivative of w**4/12 - 2*w**3/3 + 2*w**2 - 10*w. Let r be a(1). Let p = 0.9 - 0.3. Put -4/5, p, r in decreasing order. r, p, -4/5 Let r be (280/55 + -5)/((-14)/(-42)). Sort 0.2, 2, r, 1/3. 0.2, r, 1/3, 2 Let q = 389 + -392. Sort 734, -2, q in decreasing order. 734, -2, q Suppose 3*c + 6 = -0*c - 3*v, 2*c = 2*v + 4. Suppose c = -3*u + 6*u. Let o = -5 + 8. Put -1, o, u in descending order. o, u, -1 Suppose 3*l = 2*p - 15, p + 10 = l - 3*l. Let t be (5 - 4)*-2 - (-1 - 5). Put -4, t, p, -1 in increasing order. -4, -1, p, t Let a = -2.38 + -0.72. Put 0.2, 2, a in decreasing order. 2, 0.2, a Let i = -7.3 - -4.3. Let z be (-4)/7 - (-144)/(-42). Put -5, -1/5, z, i in decreasing order. -1/5, i, z, -5 Let p = -140 + 136. Let m be 76/18 - (-6)/(-27). Suppose -z - 10 = m*z. Put p, -0.4, z in increasing order. p, z, -0.4 Let d(w) = -w**3 - 11*w**2 - 12*w - 6. Let r be d(-10). Suppose -5*c - 11 - r = 0. Put c, 3, 0 in descending order. 3, 0, c Let y be ((-2 - -4) + -1)/(-1). Let m = 2158 - 2164. Sort m, -3, y. m, -3, y Let u(f) = -f**2 - 4*f + 5. Let t be u(-4). Let h be (((-5)/(-2))/t)/((-1)/6). Put -52, h, 4 in descending order. 4, h, -52 Suppose b = -3*b + 32. Suppose -3*d + 7*v - 3*v + 17 = 0, 0 = 4*d + v - 29. Let z = d - b. Sort 5, 0.1, z in descending order. 5, 0.1, z Let q = 371.1 + -371. Put -1/4, 2/3, 67, q in increasing order. -1/4, q, 2/3, 67 Let q be (-2)/(-9) - 0/(-1). Sort 3, -0.045, q. -0.045, q, 3 Let u(n) = n**3 + 19*n**2 + n + 23. Let k be u(-19). Let d(a) = -a**3 + 4*a**2 + 16*a - 59. Let i be d(4). Put i, 17, k, 2 in increasing order. 2, k, i, 17 Suppose 165*z + 256 = 1576. Put z, -5, -1 in increasing order. -5, -1, z Let a = -19/10 + 533/270. Put 0.2, a, -2, 15 in ascending order. -2, a, 0.2, 15 Let r = -0.6 + -0.1. Let k = 57.5 + -39. Let q = 19 - k. Sort 1, r, q. r, q, 1 Let a(p) be the second derivative of p**5/20 + p**4/3 + p**3/2 + 4*p. Let m be a(-3). Let s be (18/54)/((-2)/(-6)). Sort 5, m, s in ascending order. m, s, 5 Let x = -59 - -53. Let u = -74 + 221/3. Sort -2/3, u, -3/2, x in increasing order. x, -3/2, -2/3, u Let t be (-6 + 8)/((-4)/(-10)). Let z = -0.8 + 2.3. Let k = 1 - z. Sort -0.1, k, t. k, -0.1, t Let x(k) = 4*k + 30. Let a be x(-7). Suppose -a*w + 19 = -5*z, -2*w - 4 = -7*w - 2*z. Sort -1, w, 1. -1, 1, w Let s = -1141 - -1140. Put s, -7, 2, -2 in decreasing order. 2, s, -2, -7 Let k(g) = g**3 + 7*g**2 - g - 6. Let h(z) = -z - 19. Let n be h(-12). Let m be k(n). Sort -13, m, -5, 3 in ascending order. -13, -5, m, 3 Suppose -4 = 4*x + 8. Let l(n) = n + 13. Let u be l(-18). Sort u, x, 0 in increasing order. u, x, 0 Let j be 16 + -24 + (-8)/(-2). Let t be (-11)/(2 + 6/j). Let v = t + 22. Sort v, -4, 6 in descending order. 6, v, -4 Let f = -16 + 16. Suppose -5*j - 15 = -2*j. Sort f, -1, j. j, -1, f Suppose 5 = -2*z - 4*q - 9, -17 = 4*z - 3*q. Let i be (-11 - -1)*4/(-5). Put z, i, 0 in descending order. i, 0, z Let g = 33 + -26. Let f(c) = c**3 - 8*c**2 + 8*c - 4. Let k be f(g). Sort 6, 4, k, -4 in decreasing order. 6, 4, k, -4 Suppose p - 6*p = -15. Let v(l) = l**2 + l - 23. Let f be v(-5). Sort p, 2, f, -4 in descending order. p, 2, f, -4 Let s = -4 + 9. Suppose 0 = s*r - 0*r + 5. Let z be r + (2 + 1)/(-3). Sort z, 3, 2/9. z, 2/9, 3 Let o(l) = 3*l**2 + 2*l + 80. Let n be o(0). Let y be 2 + 0 + (n/38)/(-1). Put -1/3, -3, y in increasing order. -3, -1/3, y Let w = -103 + 108. Sort w, -5/6, -3, 3/7. -3, -5/6, 3/7, w Let j(d) = -d**3 + 7*d**2 - d + 8. Let t be j(7). Suppose -t = q - 11. Suppose 6*r - 4 = q*r. Sort r, 0, -4 in decreasing order. 0, r, -4 Let p = 0.31 + 0.69. Let j = -1 - 3. Let d be (12/135)/((-2)/5)*-1. Sort d, j, p in descending order. p, d, j Let a = 20 + 8. Let t be (-2)/(-9) - a/(-36). Sort 0.1, 0, t. 0, 0.1, t Let t = 0.42 + -0.32. Let d = t - -3.9. Put -5, d, -1 in increasing order. -5, -1, d Let g = 47 - 42. Let i(b) = -b**3 - 10*b**2 - 9*b. Let v be i(-9). Sort g, v, -7. -7, v, g Suppose 2 + 18 = 5*a. Let n = 39.3 - 39.1. Sort n, -3/5, 1, a in decreasing order. a, 1, n, -3/5 Suppose 3*s + 3*f + 12 = 0, 4*f - 30 = 4*s + 26. Sort 1, 4, s in increasing order. s, 1, 4 Let j = 37 + 37. Suppose j*u = 69*u - 30. Put u, 0, 3, 4 in ascending order. u, 0, 3, 4 Let r be (5/(20/4))/((-1)/6). Suppose -20 + 5 = -3*y. Put r, -2, y in descending order. y, -2, r Let g(k) = -k**2 + 14*k + 21. Let u be g(15). Suppose u = -10*v + 11*v. Let c(q) = q**2 + 5*q + 4. Let l be c(-4). Sort v, 3, l. l, 3, v Suppose 16*c - 10 = 14*c. Let i be (-4 - c*-2)/(-1) - -1. Sort -1, i, 1 in ascending order. i, -1, 1 Let q be 2786/28 + 2/(-4). Let z = 497/5 - q. Sort z, 6/7, -2 in increasing order. -2, z, 6/7 Let p(j) = -5*j - 3. Let w be p(-1). Let y be (8/16)/(1/w). Put 4, -3, y in descending order. 4, y, -3 Let k be 1 - (-1 + -3) - (-3 + 6). Sort k, -7, 3/2 in increasing order. -7, 3/2, k Let o = 5.97 + -0.17. Let n = -
{ "pile_set_name": "DM Mathematics" }
1, -152760, -152607? p**2 + 140*p - 153636 What is the x'th term of -85304741, -170609486, -255914219, -341218934, -426523625, -511828286? x**3 - 85304752*x + 10 What is the f'th term of 168837, 337476, 506117, 674760, 843405? f**2 + 168636*f + 200 What is the c'th term of 11557690, 11557744, 11557798, 11557852, 11557906? 54*c + 11557636 What is the m'th term of -156344, -156733, -157122? -389*m - 155955 What is the h'th term of -6409, -5969, -5235, -4207? 147*h**2 - h - 6555 What is the a'th term of 5814, 6746, 8340, 10632, 13658? 6*a**3 + 295*a**2 + 5*a + 5508 What is the k'th term of -780767, -1561541, -2342319, -3123101? -2*k**2 - 780768*k + 3 What is the k'th term of -4446907, -8893813, -13340719, -17787625, -22234531? -4446906*k - 1 What is the i'th term of -8149, -8738, -9327, -9916, -10505? -589*i - 7560 What is the o'th term of 314576, 314531, 314456, 314351? -15*o**2 + 314591 What is the n'th term of 149254, 149248, 149230, 149194, 149134, 149044, 148918, 148750? -n**3 + n + 149254 What is the m'th term of -249, -523, -779, -1017? 9*m**2 - 301*m + 43 What is the s'th term of -572426, -572376, -572326, -572276? 50*s - 572476 What is the f'th term of 37363, 35506, 33649, 31792, 29935? -1857*f + 39220 What is the x'th term of -4733, -6957, -9179, -11399, -13617, -15833? x**2 - 2227*x - 2507 What is the q'th term of 1332214, 1332211, 1332208, 1332205? -3*q + 1332217 What is the l'th term of -20362, -81756, -184192, -327664, -512166, -737692, -1004236? l**3 - 20527*l**2 + 180*l - 16 What is the n'th term of -121468, -121490, -121512? -22*n - 121446 What is the b'th term of 6537, 19064, 31591, 44118, 56645, 69172? 12527*b - 5990 What is the g'th term of -26, -137, -426, -899, -1562? -g**3 - 83*g**2 + 145*g - 87 What is the i'th term of 93864, 94183, 94502, 94821, 95140, 95459? 319*i + 93545 What is the l'th term of -2322, -4950, -7886, -11130, -14682, -18542? -154*l**2 - 2166*l - 2 What is the z'th term of -100018, -200066, -300112, -400156, -500198? z**2 - 100051*z + 32 What is the a'th term of 24100, 47745, 71392, 95041? a**2 + 23642*a + 457 What is the w'th term of 3074640, 6149282, 9223924, 12298566, 15373208? 3074642*w - 2 What is the d'th term of 717945, 719376, 721761, 725100, 729393, 734640, 740841? 477*d**2 + 717468 What is the c'th term of 124593, 124372, 124151, 123930, 123709, 123488? -221*c + 124814 What is the a'th term of 11851501, 11851528, 11851555, 11851582, 11851609? 27*a + 11851474 What is the r'th term of 67, -389, -1155, -2237, -3641? -r**3 - 149*r**2 - 2*r + 219 What is the k'th term of 219283, 219264, 219245, 219226, 219207, 219188? -19*k + 219302 What is the p'th term of -1754, -1846, -1930, -2000, -2050, -2074, -2066? p**3 - 2*p**2 - 93*p - 1660 What is the g'th term of 89359, 89500, 89641, 89782, 89923? 141*g + 89218 What is the t'th term of 10803, 10821, 10847, 10881, 10923? 4*t**2 + 6*t + 10793 What is the q'th term of 92319348, 184638693, 276958038, 369277383, 461596728, 553916073? 92319345*q + 3 What is the i'th term of 19861, 20693, 21523, 22351, 23177, 24001? -i**2 + 835*i + 19027 What is the o'th term of 10566, 12268, 16888, 25884, 40714? 243*o**3 + o**2 - 2*o + 10324 What is the a'th term of -529601, -529560, -529489, -529388, -529257, -529096? 15*a**2 - 4*a - 529612 What is the j'th term of 572131, 1144245, 1716337, 2288395, 2860407, 3432361, 4004245? -2*j**3 + j**2 + 572125*j + 7 What is the g'th term of -8001, -31038, -69113, -122226, -190377? -7519*g**2 - 480*g - 2 What is the a'th term of 18413, 18500, 18587, 18674, 18761? 87*a + 18326 What is the f'th term of -155131862, -310263722, -465395582? -155131860*f - 2 What is the s'th term of -57311736, -114623475, -171935214? -57311739*s + 3 What is the s'th term of 595731925, 595731924, 595731923, 595731922? -s + 595731926 What is the g'th term of -254839, -254806, -254773, -254740, -254707? 33*g - 254872 What is the f'th term of 1431, 12278, 41711, 99024, 193511, 334466? 1549*f**3 - f**2 + 7*f - 124 What is the a'th term of -440309, -440315, -440321? -6*a - 440303 What is the x'th term of -2439, 1138, 4703, 8250, 11773, 15266? -x**3 + 3584*x - 6022 What is the k'th term of -366181408, -366181407, -366181406, -366181405? k - 366181409 What is the v'th term of 27997581, 27997582, 27997583, 27997584, 27997585, 27997586? v + 27997580 What is the k'th term of 457, 1810, 4019, 7078, 10981? -k**3 + 434*k**2 + 58*k - 34 What is the n'th term of -1304684, -2609405, -3914126, -5218847, -6523568, -7828289? -1304721*n + 37 What is the c'th term of -105889, -423545, -952971, -1694167? -105885*c**2 - c - 3 What is the p'th term of -440, -1666, -3570, -6038, -8956? 19*p**3 - 453*p**2 - 6 What is the t'th term of 171061473, 171061488, 171061517, 171061566, 171061641, 171061748, 171061893? t**3 + t**2 + 5*t + 171061466 What is the x'th term of 16992131, 16992132, 16992133, 16992134, 16992135, 16992136? x + 16992130 What is the p'th term of -799, -2921, -6353, -11083, -17099, -24389? 2*p**3 - 667*p**2 - 135*p + 1 What is the f'th term of 4279147482, 4279147484, 4279147488, 4279147494? f**2 - f + 4279147482 What is the i'th term of 200, -203, -772, -1507, -2408, -3475, -4708? -83*i**2 - 154*i + 437 What is the f'th term of -477323, -477179, -477035, -476891? 144*f - 477467 What is the u'th term of 62561, 124968, 187375? 62407*u + 154 What is the j'th term of -47003, -188735, -424955, -755663, -1180859, -1700543? -47244*j**2 + 241 What is the h'th term of -2789907, -2789891, -2789875, -2789859, -2789843, -2789827? 16*h - 2789923 What is the h'th term of -126438, -126396, -126356, -126318, -126282, -126248? -h**2 + 45*h - 126482 What is the r'th term of 261858, 1046015, 2352936, 4182615, 6535046, 9410223, 12808140, 16728791? -r**3 + 261388*r**2 + 471 What is the i'th term of 42981, 85972, 128961, 171948, 214933, 257916, 300897? -i**2 + 42994*i - 12 What is the p'th term of 20635, 21303, 21967, 22627? -2*p**2 + 674*p + 19963 What is the g'th term of 1579936337, 1579936338, 1579936339, 1579936340, 1579936341, 1579936342? g + 1579936336 What is the u'th term of 2977, 4873, 6753, 8611, 10441, 12237, 13993, 15703? -u**3 - 2*u**2 + 1909*u + 1071 What is the q'th term of -8274, -33288, -75026, -133488, -208674, -300584? -8362*q**2 + 72*q + 16 What is the l'th term of 113369, 226718, 340067, 453416, 566765, 680114? 113349*l + 20 What is the w'th term of 25059, 48374, 71711, 95082, 118499, 141974, 165519, 189146? 2*w**3 - w**2 + 23304*w + 1754 What is the l'th term of -7430, -31669, -72710, -130547, -205174, -296585, -404774, -529735? l**3 - 8407*l**2 + 975*l + 1 What is the w'th term of -19226051, -19226051, -19226063, -19226093, -19226147, -19226231, -19226351, -19226513? -w**3 + 7*w - 19226057 What is the u'th term of -5469, -8793, -14333, -22089, -32061, -44249? -1108*u**2 - 4361 What is the w'th term of 22837, 22846, 22875, 22942, 23065, 23262? 3*w**3 - 8*w**2 + 12*w + 22830 What is the s'th term of -1718, -3270, -5834, -9410? -506*s**2 - 34*s - 1178 What is the w'th term of -57829, -116327, -174825, -233323, -291821, -350319? -58498*w + 669 What is the n'th term of -26154, -25237, -24320? 917*n - 27071 What is the z'th term of 1435, 5433, 12081, 21367, 33279? -2*z**3 + 1337*z**2 + z + 99 What is the f'th term of -78364, -78299, -78246, -78211, -78200, -78219? -f**3 + 72*f - 78435 What is the v'th term of 305, 1138, 2621, 4754, 7537, 10970? 325*v**2 - 142*v + 122 What is the d'th term of 6624, 13514, 20676, 28110? 136*d**2 + 6482*d + 6 What is the x'th term of 8880254, 17760503, 26640752, 35521001, 44401250, 53281499? 8880249*x + 5 What is the g'th term of 557796379, 557796380, 557796381, 557796382, 557796383? g + 557796378 What is the q'th term of -913, -723, -729, -937, -1353, -1983? -q**3 - 92*q**2 + 473*q - 1293 What is the w'th term of 84618, 166570, 248522, 330474, 412426, 494378? 81952*w + 2666 What is the r'th term of 1544, 1963, 2382? 419*r + 1125 What is the o'th term of 1918758, 1918732, 1918690, 1918638, 1918582, 1918528, 1918482? o**3 - 14*o**2 + 9*o + 1918762 What is the n'th term of -47746996, -47746989, -47746982, -47746975, -47746968? 7*n - 47747003 What is the g'th term of 2813, 3898, 4983, 6068, 7153? 1085*g + 1728 What is the x'th term of 15792, 31583,
{ "pile_set_name": "DM Mathematics" }
Is 13 a factor of 4888? True Is 94 a factor of 65612? True Does 38 divide 1136? False Is 390 a multiple of 15? True Is 44 a factor of 4224? True Is 30444 a multiple of 5? False Does 39 divide 2496? True Is 3672 a multiple of 36? True Is 51 a factor of 993? False Does 239 divide 76529? False Does 14 divide 504? True Is 723 even? False Does 18 divide 10301? False Is 14418 a multiple of 81? True Is 33884 a multiple of 212? False Is 18225 a multiple of 82? False Does 21 divide 82656? True Is 17204 a multiple of 92? True Is 75 a factor of 6825? True Does 5 divide 125? True Is 852 even? True Is 2920 a multiple of 8? True Does 7 divide 356? False Is 816 a multiple of 24? True Is 415 a multiple of 34? False Is 41 a factor of 145? False Does 185 divide 1850? True Does 21 divide 1869? True Does 9 divide 810? True Is 80 a factor of 8801? False Is 3304 a multiple of 14? True Is 57881 a multiple of 13? False Is 15780 a multiple of 263? True Does 40 divide 1080? True Does 14 divide 266? True Is 75 a factor of 12351? False Is 3225 a multiple of 20? False Does 9 divide 13004? False Is 156 a multiple of 52? True Does 4 divide 2190? False Does 62 divide 18042? True Is 7080 a multiple of 40? True Is 3640 a multiple of 26? True Does 57 divide 6327? True Does 128 divide 1652? False Is 9 a factor of 14463? True Is 28 a factor of 6445? False Does 29 divide 1764? False Does 11 divide 51? False Does 2 divide 2504? True Is 1160 a multiple of 8? True Is 49 a factor of 882? True Does 150 divide 83100? True Is 6601 a multiple of 57? False Is 2915 a multiple of 34? False Does 4 divide 63? False Is 22 a factor of 286? True Is 2 a factor of 11319? False Does 4 divide 1236? True Does 36 divide 1191? False Is 735 a multiple of 15? True Does 33 divide 858? True Is 44330 a multiple of 11? True Is 73 a multiple of 14? False Is 5 a factor of 1355? True Does 15 divide 870? True Is 9581 a multiple of 143? True Is 19372 a multiple of 29? True Is 4 a factor of 96? True Is 89 a factor of 937? False Is 165 a multiple of 33? True Does 124 divide 957? False Is 1148 a multiple of 27? False Does 5 divide 410? True Is 8233 a multiple of 10? False Does 41 divide 4182? True Is 6 a factor of 36440? False Does 89 divide 4272? True Is 7 a factor of 777? True Is 59996 a multiple of 55? False Is 3 a factor of 4340? False Is 15 a factor of 33390? True Is 70661 a multiple of 150? False Is 5764 a multiple of 12? False Is 174 a factor of 24847? False Is 78 a multiple of 3? True Does 9 divide 81? True Does 34 divide 45900? True Is 40 a factor of 10605? False Is 6030 a multiple of 10? True Does 37 divide 259? True Does 24 divide 60744? True Does 9 divide 11259? True Is 368 a multiple of 23? True Is 14 a factor of 6183? False Is 9680 a multiple of 20? True Is 101 a factor of 1313? True Is 1751 a multiple of 7? False Is 12899 a multiple of 4? False Is 8475 a multiple of 75? True Does 14 divide 8008? True Does 7 divide 484? False Does 6 divide 165? False Is 3876 a multiple of 228? True Is 22185 a multiple of 145? True Is 12 a factor of 416? False Is 60 a factor of 300? True Does 24 divide 479? False Is 3364 a multiple of 29? True Is 5856 a multiple of 61? True Is 3 a factor of 1614? True Is 12 a factor of 828? True Is 6162 a multiple of 237? True Is 114 a multiple of 57? True Is 17 a factor of 510? True Is 37200 a multiple of 20? True Does 20 divide 3280? True Is 20 a factor of 1587? False Does 3 divide 285? True Does 47 divide 14308? False Is 132 a factor of 7128? True Is 12948 a multiple of 13? True Is 6 a factor of 11631? False Is 4742 a multiple of 33? False Does 11 divide 106? False Does 36 divide 3420? True Is 9 a factor of 108? True Is 17 a factor of 43? False Does 110 divide 9492? False Is 18 a factor of 3726? True Is 54 a factor of 37260? True Is 3392 a multiple of 64? True Does 16 divide 896? True Does 201 divide 17085? True Is 36791 a multiple of 14? False Is 10 a factor of 2260? True Does 66 divide 5478? True Does 102 divide 5814? True Does 56 divide 63504? True Does 19 divide 17056? False Does 3 divide 2787? True Does 82 divide 6622? False Is 11500 a multiple of 32? False Is 19 a factor of 2242? True Does 27 divide 162? True Is 15055 a multiple of 153? False Is 9810 a multiple of 15? True Is 54 a factor of 11448? True Is 4945 a multiple of 14? False Does 15 divide 1558? False Does 11 divide 87733? False Is 7 a factor of 2513? True Is 11232 a multiple of 117? True Is 1048 a multiple of 12? False Does 11 divide 10090? False Does 3 divide 3307? False Is 7 a factor of 308? True Is 131 a factor of 3930? True Is 13 a factor of 18590? True Is 11 a factor of 6429? False Is 17 a factor of 38063? True Is 129 a factor of 31605? True Does 19 divide 1520? True Is 98 a factor of 486? False Does 11 divide 1762? False Is 65 a factor of 2405? True Does 4 divide 1652? True Is 20 a factor of 12188? False Is 9483 a multiple of 7? False Is 7 a factor of 189? True Does 244 divide 69772? False Does 42 divide 1050? True Is 826 a multiple of 8? False Is 390 a multiple of 26? True Does 35 divide 13090? True Does 19 divide 4180? True Does 38 divide 300? False Is 27972 a multiple of 43? False Is 20 a factor of 674? False Does 399 divide 10068? False Is 3441 a multiple of 60? False Is 1855 a multiple of 10? False Does 88 divide 1056? True Does 5 divide 183? False Is 16110 a multiple of 48? False Is 17882 a multiple of 30? False Is 7728 a multiple of 14? True Is 830 a multiple of 10? True Does 38 divide 8588? True Does 36 divide 2531? False Is 1730 a multiple of 22? False Does 129 divide 27368? False Is 32 a factor of 43390? False Does 93 divide 84599? False Does 137 divide 7535? True Does 28 divide 2130? False Is 9 a factor of 97? False Is 49 a factor of 764? False Does 9 divide 532? False Is 3257 a multiple of 17? False Is 292 a multiple of 73? True Does 6 divide 86? False Does 5 divide 4070? True Is 789 a multiple of 2? False Is 471 a multiple of 5? False Is 18 a factor of 306? True Does 6 divide 126? True Is 44 a multiple of 11? True Is 680 a multiple of 10? True Does 3 divide 342? True Does 14 divide 29460? False Does 15 divide 137? False Is 4 a factor of 1279? False Is 222 a factor of 34547? False Is 16 a factor of 186? False Does 36 divide 6444? True Does 63 divide 2852? False Is 15 a factor of 91? False Is 3123 a multiple of 9? True Is 446 a multiple of 14? False Does 11 divide 473? True Is 64 a factor of 6187? False Is 4951 a multiple of 94? False Is 10 a factor of 19953? False Does 9 divide 358? False Does 13 divide 4719? True Does 21 divide 144963? True Is 57 a factor of 3968? False Does 10 divide 80? True Is 1841 a multiple of 19? False Is 30 a factor of 41861? False Does 58 divide 1248? False Is 16 a factor of 28288? True Is 17 a factor of 3417? True Is 4 a factor of 576? True Is 206 a factor of 54178? True Does 34 divide 118802? False Is 9 a factor of 702? True Is 2631 a multiple of 22? False Is 770 a multiple of 11? True Is 17 a factor of 18797? False Does 24 divide 1248? True Does 41 divide 2870? True Is 48 a factor of 15600? True Is 2046 a multiple of 22? True Does 46 divide 874? True Is 64 a factor of 896? True Does 62 divide 27185? False Is 660 a multiple of 44? True Does 143 divide 3861? True Is 18 a factor of 4928? False Does 88 divide 11352? True Is 20 a factor of 1340? True Is 38 a factor of 2508? True Does 3 divide 192? True Does 9 divide 3372? False Is 31970 a multiple of 115? True Is 183 a multiple of 17? False Does 74 divide 23014? True Is 4 a factor of 1957? False Is 13442 a multiple of 11? True Is 46257 a multiple of 47? False Does 18 divide 1602? True Does 46 divide 3772? True Is 6082 a multiple of 23? False Is 52 a factor of 1379? False Does 5 divide 304? False Is 24 a factor of 2640? True Does 17 divide 1327? False Is 13 a factor of 15080? True Does 10 divide 170? True Is 4680 a multiple of 18? True Does 31 divide 15531? True Is 32 a factor of 1824? True Is 216 a factor of 19008? True Is 1089 a multiple of 57? False Does 68 divide 952? True Does 27 divide 671? False Is 1809 a multiple of 35? False Does 56 divide 21869? False Does 11 divide 573? False Is 35712 a multiple of 2? True Is 5685 a multiple of 61? False Is 26201 a multiple of 17? False Does 13 divide 5017? False Is 112 a factor
{ "pile_set_name": "DM Mathematics" }
741, 5*p - 989 = -4*n. Is n prime? True Suppose -3*c - 2*v - 9748 = 0, -5*v - 3252 = c - 7*v. Let x = c + 6549. Is x a composite number? False Suppose 26*p - 5919 = 23*p. Suppose -o - 5 = 0, -p = -2*y - 3*o + 9570. Is y a prime number? True Suppose 28857 = -10*q + 175947. Is q composite? True Suppose -11 + 2 = 3*b. Is (7 - 10)/(b/5199) a composite number? True Let w(u) = -589*u**3 - 15*u**2 - u + 5. Let f(m) = -393*m**3 - 10*m**2 - m + 3. Let v(i) = 7*f(i) - 5*w(i). Is v(3) a prime number? True Suppose -9*s + 21*s = -12. Is (s + 3)/12 - (-73606)/12 a composite number? True Let s = 1861 - 4518. Let b = s - -7923. Is b a composite number? True Suppose 2*c = -5*d + 74632 + 2307089, c - 8 = 0. Is d composite? True Let v(z) = 857*z**2 - 6*z - 13. Let m be v(-2). Let u = m + -1836. Is u a composite number? True Let x(o) = 3*o - 15. Let g be x(5). Suppose -9686 + 2851 = -5*n + 3*f, g = -2*n + 4*f + 2734. Is n a prime number? True Let a be (-24)/18 + (-39)/(-9). Is (-1)/a + 17900/15 a prime number? True Is (-11)/33*((8 - -3) + -2) - -31054 a composite number? False Let d(y) = 4396*y + 1021. Is d(12) a prime number? True Let j(g) = 149*g + 3. Let n be j(-5). Is (251/(-2))/(7/n) a composite number? True Suppose -11146770 = -77*q - 13*q. Is q composite? False Is (-104)/6*(-464165)/20 - 20/(-30) prime? True Let p = 100 - 66. Suppose -p + 8 = -5*m + 3*d, -m = 4*d + 4. Suppose -m*o + 7764 = -v, -o - 3*v + 1938 = -4*v. Is o prime? False Suppose 13*t - 12*t - 397 = 0. Suppose 0 = -d + 3*x - 122, 5*d + 3*x = -285 - t. Let g = -12 - d. Is g composite? True Let k(z) = z**2 + 7*z + 6. Let a be k(-6). Let j(y) = -4*y + 6. Let o be j(a). Suppose -1297 - 293 = -o*p. Is p composite? True Suppose 2*f = -7 + 17, 4*p + 3*f = 5379. Suppose -5*r = -g - r + p, 0 = 4*g + r - 5449. Is g a prime number? True Let k(d) = 3738*d - 421. Is k(8) prime? True Is (263187/18)/((-4)/(-8)) prime? True Let v(l) = -258*l - 13. Let z be v(-6). Let i(s) = -s + 41. Let y be i(36). Suppose 6*a = y*a + z. Is a prime? False Is (505/(5 - 10))/(3 - 5750/1915) a composite number? True Let b(v) = v**2 - 7*v + 3. Let i be b(9). Suppose 2*y + i = 5*g, 4*g - 5 = 4*y + 7. Is ((-4)/6)/(g + 1174/(-234)) a composite number? True Suppose -8950203 = -36*r + 9*r. Is r composite? False Let g(a) = -a**3 - 16*a**2 + 2*a + 7. Let t be g(-16). Let p be (-5)/t - 881/5. Let n = p + 295. Is n prime? False Let s(t) = 46*t**2 - 343*t + 283. Is s(28) a prime number? False Suppose -5*s - 41 = -3*g, 0 = -4*g - 3*s + 8*s + 63. Let d = 40 - g. Suppose -d*c + 19*c - 1257 = 0. Is c composite? True Let b be ((-189)/42)/((-3)/818). Suppose -828*q + 831*q - b = 0. Is q prime? True Let p = 457048 - 321351. Is p composite? False Let q = 211 + -218. Let o(n) = -4*n + 91. Is o(q) prime? False Suppose 0*q - 45 = -5*q. Suppose 0 = 11*c - q*c - 3*o - 7990, -11959 = -3*c - 2*o. Is c a composite number? False Let i(z) = -3*z**3 - 9*z**2 - z + 2. Let d be i(-3). Suppose p + 3*p + d*h = 6028, 0 = -2*h. Is p prime? False Suppose 5*v + 173680 = b + 10938, 3*v - 813850 = -5*b. Is b a composite number? True Suppose -87058 = -7*y + 3872. Let o be 1*y/5 + 4/2. Let v = o - 1219. Is v composite? False Let u = 19014 + -2563. Let t = u - 10312. Is t prime? False Let m(u) = -u**3 - 12*u**2 - 9*u + 27. Let o be m(-11). Suppose 5087 = o*p - 37863. Suppose -5*c + p = 4*r, -2*c + r + 3423 = -0*r. Is c a composite number? True Let j(b) = 11*b**2 - 32*b + 25. Let t be (-12)/((-4)/(-32)*6). Is j(t) composite? True Let c(l) = -137*l + 342*l + 9 - 28 + 170*l. Let j be c(11). Suppose -3*x + x = -j. Is x prime? True Suppose 0 = 6*y - 2*y - 104. Let a = 32 - y. Suppose 4*h - a*h = -3346. Is h composite? True Let m = -113876 - -193369. Is m a prime number? True Let p(l) = -23470*l + 13537. Is p(-46) a prime number? False Let o = 35128 + -4967. Is o a prime number? True Is 10689804/180 - (-16)/(-20) a prime number? True Suppose -5*c = -63 - 97. Suppose c*h - 29*h - 12 = 0. Suppose 0 = -h*j - 265 + 2061. Is j composite? False Suppose -7*d + 4*d = -9. Suppose 4*y + d*p - 60 = 0, p = -y + 2*p + 8. Suppose -2*w + h + 70 = 0, 0 = -3*w + h - y + 117. Is w prime? False Suppose 0*n + 5*n - 10 = 0. Let y = 38 - 36. Suppose -y*o = -4, n*x + 3*o = 1912 + 186. Is x prime? False Let j(p) = 203*p**2 - 6*p - 401. Is j(-12) a composite number? True Let g = -240981 + 418654. Is g prime? False Suppose 17*m = 44*m + 26*m - 34126223. Is m composite? True Let d(y) = 2585*y**3 - 23*y**2 - 5*y + 51. Is d(4) a prime number? True Suppose -23*o = -20*o + 9, -3*c + 18636 = -3*o. Is c prime? False Let i be 1/(11467/(-5734) - -2). Suppose 20 = 5*c - 0*c, 2*u - 3*c - 3626 = 0. Suppose 3933 = 5*n - 4*f, -5*n + i = 5*f + u. Is n a composite number? True Let x(b) = -2*b - 2. Let i(m) = 1251*m + 3. Let y(f) = i(f) + 4*x(f). Is y(6) a composite number? True Let o(f) = f**2 + 11*f - 5. Let l be o(-12). Let n(j) = -4 + 3*j + 2*j**3 - 3*j**2 - 8*j**2 + 22 - l*j**2. Is n(13) composite? False Suppose 3*x - 4*c - 14635485 = 0, -4*x + 578*c + 19513976 = 572*c. Is x composite? True Suppose 18043294 = 76*l + 4218058. Is l a prime number? False Let t = 48979 - -43870. Is t a composite number? False Is 30/42 + 5486562/63 a prime number? False Let o(p) = 70*p + 35. Let k(n) = -70*n - 34. Suppose -4*x - 20 = -0*x. Let a(v) = x*o(v) - 4*k(v). Is a(-17) prime? True Let z(l) = 55*l + 4. Let o be z(15). Let k = o - -358. Is k composite? False Let f(h) be the third derivative of 513*h**5/10 - h**4/8 - h**3/3 - 80*h**2. Is f(-1) a prime number? True Let j(q) = 4*q**3 + 3*q**2 - 8*q - 5. Suppose -3*k + 4 + 11 = 0. Let n be j(k). Suppose 2*z - 7*c = -3*c + n, 15 = -5*c. Is z prime? False Let g(f) = -f**3 - 21*f**2 + 164*f + 1601. Is g(-108) a composite number? True Let h(q) = 7*q**3 - 2*q**2 + 18*q - 305. Is h(26) composite? False Let m be 6 - (2 - 0) - 1. Suppose -1 = t - m*o - 4, t - 4*o = 1. Let d(a) = 7*a**2 - 14*a + 12. Is d(t) a prime number? False Let d be (-2)/1*(-6 + (-35)/(-7)). Let r be 27/18 - (-3 - 819/d). Suppose -r - 1334 = -4*g. Is g composite? True Let v be (-146837)/13 - 48/(-312). Let w = -2032 - v. Is w a prime number? False Let w(c) = 143*c - 1. Let d = 66 - 59. Let u be w(d). Let l = 2226 - u. Is l a prime number? False Suppose -2*k = 3*v - 3305, k - 6*v + 9*v = 1657. Let c = k + 9259. Is c a composite number? True Suppose -3300 = -2*z + 2*b, -7179 - 1095 = -5*z - 3*b. Suppose 19421 = 8*g + z. Is g composite? False Let u(x) = -675*x - 23. Let m(j) be the second derivative of 75*j**3/2 + 4*j**2 + 30*j. Let k(r) = -11*m(r) - 4*u(r). Is k(7) prime? True Suppose 4*m - 69 - 155 = 0. Suppose 0 = 5*b - 71 + m. Suppose 5725 = -b*n + 8*n. Is n composite? True Let d be (-24)/(-60) + ((-304)/10 - -1). Let a = 29 + d. Suppose a = -4*t - 2*b + 1036, 3*b = -t - t + 526. Is t a composite number? False Let l be (-2 - 25/(-20))*-908. Suppose 24*v - l - 16551 = 0. Is v a composite number? True Let u be 171/(-76)*(-1)/(6/80). Let g be ((-7922)/6 - -2) + (-20)/u. Let s = g - -1900. Is s composite? True Let i be 1/(-7) - 106465/35. Let w = -1939 - i. Is w prime? True Suppose 0 = 3*z + 4*z. Suppose z = 15*h - 422332 + 157477. Is h composite? False Suppose -124*o = -125*o + 2148. Suppose -y - o = -8501. Is y a prime number? True Let w(g) = 1055*g**3 + 6*g**2 - 6*g + 4. Let l be w(2). Suppose 5*p = 2*q + 7455 + 1004, 5*p = 3*q + l. Is p a composite number? False Let d(b) = -12*b**3 + 55*b**2 + 248*b - 727. Is d(-66) a composite number? False Suppose 40*k = 43*k + 531. Let f = 542 + k. Suppose 0 = -5*a + 3*q + 349, -5*a - 3*q - 2*q = -f. Is a prime? True Let a = 7 + -4. Let y = 3305 + -3262. Is y - (-4 + 5 + a) a prime number? False Let g(x) be the third derivative of -x**5/30 - x**4/12 + 1082*x**3/3 - 6*x**2. Let r be g(0). Is -2*3/((-24)/r) composite? False Let b = 406 - 401. Let q(i) = i + 2. Let z be q(2). Suppose -z*p = b*p - 4023. Is p prime? False Let x be 2 + (-2 + 5)*22/33. Suppose j = -x*k + 9*k - 10889, k - 2173 = -j. Is k a composite number? True Let x = 144 - 142. Suppose -3*n - 4*s + 21223 = 0, -7395 - 6751 = -2*n - x*s. Is n a composite number? False Suppose 4*b - 128 = 2528. Is b - -3*5/(-3) a composite number? False Let a(j) = -28*j**3 - 12*j**2 + 17*j + 6. Let l be a(8). Is (13/((-13)/2))/(4/l) com
{ "pile_set_name": "DM Mathematics" }
. Let s(a) = 3*c(a) + 4*k(a). Determine h so that s(h) = 0. -3/26, 1 Let j = -379/825 - -26/55. Let t(w) be the third derivative of -1/300*w**6 + j*w**5 - 1/60*w**4 + 0*w**3 + 3*w**2 + 0 + 0*w. Factor t(g). -2*g*(g - 1)**2/5 Let i(t) = t**3 + 5*t**2 - 2*t - 6. Let y be i(-5). Let 0*d**3 - 8*d + 0 + 20*d - y*d**3 - 8 = 0. What is d? -2, 1 Factor -3/5*l**2 - 3/5 - 6/5*l. -3*(l + 1)**2/5 Let t(k) be the second derivative of k**6/30 + 11*k**5/60 + 11*k**4/36 + k**3/18 - k**2/3 - 62*k - 1. Factor t(v). (v + 1)**2*(v + 2)*(3*v - 1)/3 Let t(g) = -g**2 + 6*g + 3. Let w be t(6). Suppose 0*a - 2*a + 28 = -4*p, -5*a = 4*p. Factor x**3 - 5*x**2 + 8*x**2 + 15*x + 6 - a*x**w + 3. -3*(x - 3)*(x + 1)**2 Factor -11 - 15 - 25*p - 55*p - 24*p**2 + 30*p**2 + 4*p. 2*(p - 13)*(3*p + 1) Find j, given that 4*j**3 + j**3 - 5*j**3 + 34*j**2 + 62*j + 30 + 2*j**3 = 0. -15, -1 Let b(l) be the first derivative of l**4 - 140*l**3 - 864*l**2 - 1744*l + 213. What is v in b(v) = 0? -2, 109 Let b be ((-10)/4)/(-3*(-1)/24). Let n = 20 + b. Suppose n*s + 0 + 2/9*s**2 = 0. What is s? 0 Let v(o) = 4*o**3 + 4*o - 4*o**3 - 7*o**4 + 7 + o**3. Let i(m) be the first derivative of 3*m**5/5 - m**2 - 3*m - 5. Let c(w) = -5*i(w) - 2*v(w). Factor c(x). -(x - 1)*(x + 1)**3 Factor 188/9*m - 176/9*m**2 - 40/9 + 28/9*m**3. 4*(m - 5)*(m - 1)*(7*m - 2)/9 Let f = 4 - -3. Let p be (-3 - f/(-3))*-3. Determine d, given that p + 0 + 2*d**2 - 5 + d**2 = 0. -1, 1 Let v(s) be the first derivative of 21/2*s**2 + 6*s + 9/4*s**4 + 8*s**3 - 10. Find p such that v(p) = 0. -1, -2/3 Let c(r) = -r**2 - 2*r. Let a(b) = b**2 + 5*b. Suppose -7*t + 25 = -10. Let q(m) = t*c(m) + 2*a(m). Suppose q(w) = 0. Calculate w. 0 Suppose w + 1 = -3*y, 6*w - 5*y - 3 = 7*w. Factor -2/11*d**w + 2/11*d + 0. -2*d*(d - 1)/11 Let r = 531 - 531. Let h(f) be the second derivative of 0*f**3 + 7*f + r*f**2 + 1/130*f**5 + 1/195*f**6 - 1/39*f**4 + 0. Factor h(k). 2*k**2*(k - 1)*(k + 2)/13 Let h be ((-24)/(-30))/(2/5). Let p be 2 + -1 + h - -87. Factor 13 + 19*j - 76*j + p*j**2 - 7. 3*(2*j - 1)*(15*j - 2) Factor -18/5*y**2 + 3/5*y**3 + 36/5 + 3*y. 3*(y - 4)*(y - 3)*(y + 1)/5 Suppose x = -t + 3*x - 4, 4*x - 32 = -4*t. Let -b**5 - 88*b**2 - 2*b**t + 144*b + 16*b**3 - b**4 + 1 + 6*b**4 - 81 = 0. Calculate b. -5, 2 Let j(m) be the third derivative of -m**5/690 + 7*m**4/92 - 18*m**3/23 + 373*m**2. Determine s so that j(s) = 0. 3, 18 Let k(j) = -2*j. Let f be k(-3). Let s(i) be the third derivative of 0 + 2*i**2 + 1/40*i**f + 0*i - 1/8*i**4 - 1/10*i**5 + i**3. Factor s(o). 3*(o - 2)*(o - 1)*(o + 1) Let d(v) be the third derivative of v**5/100 + 59*v**4/40 + 29*v**3/5 + 98*v**2 - 2*v. What is a in d(a) = 0? -58, -1 Suppose 12*t - 65 = -17. Let k(d) be the third derivative of 1/100*d**5 - 2*d**2 + 0*d + 3/40*d**t + 1/5*d**3 + 0. Factor k(p). 3*(p + 1)*(p + 2)/5 Let h = -197/36 + 103/18. Let m(v) be the first derivative of -5 + 1/4*v + 1/2*v**2 - 1/12*v**3 - h*v**4. Factor m(d). -(d - 1)*(d + 1)*(4*d + 1)/4 Let i(v) be the second derivative of 2*v**6/15 - 6*v**5/5 + 8*v**4/3 + 4*v**3 - 18*v**2 + 103*v. Determine w so that i(w) = 0. -1, 1, 3 Let h(k) = -11. Let d(i) = 5. Let n(y) = 13*d(y) + 6*h(y). Let j(q) = -q**2 - q + 6. Let a(m) = 5*j(m) + 30*n(m). Let a(f) = 0. Calculate f. -1, 0 Suppose -2*b + 3*b = 3*x - 37, 4*b = x - 5. Let v = x + -10. Factor 2*s**2 - v*s**2 + 3*s**4 - 2*s**2 + 0*s**4. 3*s**2*(s - 1)*(s + 1) Suppose 0*k + 0 + k**3 - 5/4*k**2 + 1/4*k**4 = 0. Calculate k. -5, 0, 1 Let r(c) be the second derivative of c**6/15 - c**5 + 4*c**4/3 + 10*c**3/3 - 9*c**2 + 215*c. Factor r(b). 2*(b - 9)*(b - 1)**2*(b + 1) Suppose 1590*j - 126*j**2 - 8232 + 174*j + 3*j**3 + 0*j**3 = 0. Calculate j. 14 Factor 10836/13*n**2 + 148176/13 - 158760/13*n + 2/13*n**4 - 254/13*n**3. 2*(n - 42)**3*(n - 1)/13 Let g = -89 - -91. Factor -1367*q**g + 30 + 1362*q**2 - 10 + 15*q. -5*(q - 4)*(q + 1) Suppose 2*v**3 + 15*v - 1 - 4*v**4 + 5*v**3 + 5*v**2 - 18*v - v**3 - 3*v**3 = 0. What is v? -1, -1/4, 1 Let k(y) be the second derivative of -9/5*y**2 + 11/20*y**4 + 31/10*y**3 + 0 + 36*y. Suppose k(q) = 0. Calculate q. -3, 2/11 Suppose 6*h = 9*h - 33. Suppose h = 2*d + 1. Let 14/9*k**2 - 4/9*k + 10/9*k**4 - 2*k**3 + 0 - 2/9*k**d = 0. What is k? 0, 1, 2 Let o(s) be the second derivative of s**8/20160 - s**6/720 + s**5/180 - 7*s**4/3 + 3*s. Let i(w) be the third derivative of o(w). Solve i(a) = 0. -2, 1 Let y = -622/19 + 4962/133. Determine g so that 16/7 + y*g + 12/7*g**2 = 0. -2, -2/3 Let j(z) be the third derivative of -z**8/2688 + z**7/280 - 51*z**2. Let j(l) = 0. What is l? 0, 6 Let c = -94/55 - -138/55. Determine g, given that 0 + 8/5*g + c*g**2 = 0. -2, 0 Let h(q) be the second derivative of -3*q**7/14 - 11*q**6/5 - 17*q**5/16 - 7*q**4/48 + 247*q + 1. Determine m so that h(m) = 0. -7, -1/6, 0 Let b(n) be the second derivative of -1/6*n**6 + 0*n**4 + 43*n - 1/2*n**5 + 5/2*n**2 + 5/3*n**3 + 0. What is h in b(h) = 0? -1, 1 Let -2*t**3 + 0*t - 38*t**2 + 87*t**2 - 2*t - 45*t**2 = 0. Calculate t. 0, 1 Let k be 16/3 + (-7)/21. Suppose -2*o = k*h - 35 - 1, -h - 4 = -o. Factor -16*a**2 - 2*a**4 + 8 - 8 - o*a - 10*a**3. -2*a*(a + 1)*(a + 2)**2 Let i be ((-11)/11 - -2)/((-1)/(-2)). Let v be (-172)/645 + i/3. Factor -v*p**4 - 8/5*p - 2/5 - 12/5*p**2 - 8/5*p**3. -2*(p + 1)**4/5 Let b = -6/1615 - -3418/4845. Let t = -2/57 + b. Suppose -1/3 - 1/3*d**2 - t*d = 0. Calculate d. -1 Let f(v) be the first derivative of -v**4/4 - 11*v**3/3 - 6*v**2 - 18*v - 41. Let q be f(-10). Solve -1/4 + 0*m + 1/4*m**q = 0. -1, 1 Let a(r) be the first derivative of r**3/15 + 3*r**2/5 + r - 91. Factor a(t). (t + 1)*(t + 5)/5 Let m(y) be the first derivative of y**4/12 + 4*y**3/9 - 19*y**2/6 + 14*y/3 - 276. Factor m(k). (k - 2)*(k - 1)*(k + 7)/3 Suppose k + 5*b = 139, -2*k + 3*k - 2*b - 118 = 0. Let r = k + -124. Factor r + 2/7*g**2 + 2/7*g**3 + 0*g. 2*g**2*(g + 1)/7 Factor 5*p**4 + 4620*p + 26*p**3 + 3002*p**2 - 9*p**3 + 517 - 2*p**4 + 168*p**3 + 1283. (p + 1)*(p + 30)**2*(3*p + 2) Suppose 6*p - 15 = 11*p. Let s be p/12 + 81/36. Determine n, given that 0 - 7/3*n**s + n**3 + 2/3*n - 4/3*n**5 + 8/3*n**4 = 0. -1, 0, 1/2, 2 Let b(s) be the third derivative of -s**8/1050 - s**7/700 + s**6/900 + 49*s**3/6 - 4*s**2 - 2*s. Let c(a) be the first derivative of b(a). Factor c(k). -2*k**2*(k + 1)*(4*k - 1)/5 Let j(o) = -7*o**2 + 9*o + 10. Suppose 5*z + 7 = 32. Let f(t) = 6*t**2 - 8*t - 9. Let d(h) = z*j(h) + 6*f(h). Factor d(m). (m - 4)*(m + 1) Let u(v) be the second derivative of 3*v**5 - 47*v**4/3 - 36*v**3 + 16*v**2 - v + 262. Factor u(b). 4*(b - 4)*(b + 1)*(15*b - 2) Let q(i) be the first derivative of -4*i**3/9 - 86*i**2/3 - 56*i + 813. Factor q(k). -4*(k + 1)*(k + 42)/3 Find p such that 0*p + 1/3*p**5 + 1/3*p**4 + 20/3*p**2 - 16/3*p**3 + 0 = 0. -5, 0, 2 Let y(w) be the third derivative of 2*w**7/735 - 2*w**5/35 - 4*w**4/21 - 2*w**3/7 - 99*w**2. Suppose y(v) = 0. Calculate v. -1, 3 Let r(x) be the third derivative of x**5/140 - 19*x**4/56 - 40*x**2. Factor r(g). 3*g*(g - 19)/7 Suppose -7*k = -10*k + k. Let i(b) be the second derivative of k - 7/48*b**4 - 1/16*b**5 - b + 1/30*b**6 + 0*b**2 + 1/12*b**3. Factor i(d). d*(d - 2)*(d + 1)*(4*d - 1)/4 Suppose -1 = -5*q + 4. Let p(g) = -g**2 - 1. Let r(y) = -y**3 - y - 2. Let d(c) = q*r(c) - 2*p(c). Factor d(i). -i*(i - 1)**2 Suppose 4*p - 20 = -p. Let v be 9/4 - 1/4. Factor h**2 - p*h**v + 2*h + 2*h**2. -h*(h - 2) Let o(d) be the third derivative of -d**5/330 + 13*d**4/132 - 4*d**3/11 - 82*d**2. Factor o(a). -2*(a - 12)*(a - 1)/11 Let p = 1286 - 1283. Let m(n) be the second derivative of -7*n - 1/6*n**4 + 0 - 1/10*n**5 + 1/15*n**6 + 0*n**2 + 1/3*n**p. Factor m(q). 2*q*(q - 1)**2*(q + 1) Let s(c) = -3*c**2 - 14*c + 4. Let q be s(-6). Let v be (q/16)/(-5)*4. Suppose 1/3*y**2 + 4/3*y + v = 0. What is y? -3, -1 Let l(i) = -2*i**2 - 18*i + 143. Let a be l(-14). Let r(m) be the first derivative of 1/10*m**4 - 4/5*m + 0*m**a + 6 - 3/5*m**2. Factor r(d). 2*(d - 2)*(d + 1)**2/5 Let i(g) be the third derivative of -g**5/20 + 57*g**4/8 + 59*g**3 - 159*g**2 + 1. Factor i(h). -3*(h - 59)*(h + 2) Let h be 270/135 - 16*2/22. Factor 2/11*c**2 + 4/11 + h*c. 2*(c + 1)*(c + 2)/11 Suppose -2*a = k - 16, -a + 23 = -k + 3*k. Suppose -11*n + k*n + 3 = 0. Factor 1/2*m - 3/2*m**2 + 0 - 1/2*
{ "pile_set_name": "DM Mathematics" }
Suppose 0 = -2*k + 3*y + 32, 5*k = -5*y + 2*y + 38. Factor k + 8*z**2 - 13*z**2 - 4*z - z. -5*(z - 1)*(z + 2) Let y(r) be the third derivative of -r**5/50 + 449*r**4/60 - 298*r**3/15 - 207*r**2. Factor y(i). -2*(i - 149)*(3*i - 2)/5 Suppose -5*d = -m - 26 + 8, d + 4*m = -9. Let c(k) be the second derivative of 1/36*k**4 + 1/18*k**d + 0 + 0*k**2 - 3*k. Factor c(t). t*(t + 1)/3 Let l(f) be the first derivative of 3*f**5/35 - 3*f**4/4 + 15*f**3/7 - 39*f**2/14 + 12*f/7 - 79. Factor l(z). 3*(z - 4)*(z - 1)**3/7 Let a(t) be the second derivative of 2*t**4 - 9*t**3/2 + 3*t**2/2 - 16*t + 1. Solve a(z) = 0 for z. 1/8, 1 Let u(v) = 51*v**3 - 360*v**2 + 666*v + 102. Let k(t) = -152*t**3 + 1079*t**2 - 1999*t - 305. Let l(j) = 6*k(j) + 17*u(j). Factor l(a). -3*(a - 4)**2*(15*a + 2) Let j(i) be the second derivative of -1/15*i**6 + 1/10*i**5 + 0*i**3 - 6*i + 0*i**4 + 0*i**2 + 2. Solve j(a) = 0 for a. 0, 1 Suppose -2*r = 5*h - 3*r - 24, -4*r - 24 = -2*h. Factor -6*m**h + 13*m**4 + 2*m**5 - 5*m**4. 2*m**4*(m + 1) Let o = -2 + 5. Suppose 24 = 2*v + 3*v - o*r, -3*v - 5*r = 6. Solve 5*m**2 + m**5 + 2*m - 5*m**2 - 2*m**2 + 2*m**4 - v*m = 0. -1, 0, 1 Determine y, given that 24/7 + 5/7*y - 1/7*y**2 = 0. -3, 8 What is y in 84/5*y - 84/5*y**3 + 117*y**2 - 588/5 + 3/5*y**4 = 0? -1, 1, 14 Let k(s) be the third derivative of -s**7/630 + s**6/60 - s**5/15 - 5*s**4/12 + 14*s**2. Let t(r) be the second derivative of k(r). Let t(l) = 0. What is l? 1, 2 Let u(a) be the second derivative of 0*a**6 + 0 - 1/14*a**7 - 1/2*a**3 + 3/10*a**5 + 0*a**4 + 19*a + 0*a**2. Find p such that u(p) = 0. -1, 0, 1 Let o(p) be the first derivative of p**3/3 + 18. Find b such that o(b) = 0. 0 Factor -1/3*w + 1/3*w**3 - 1/3*w**4 - 2/3 + w**2. -(w - 2)*(w - 1)*(w + 1)**2/3 Let q(s) be the first derivative of 10*s**2 + 5/3*s**3 + 15*s - 28. Suppose q(c) = 0. Calculate c. -3, -1 Determine l so that -6*l**5 - 9487*l**3 + 9441*l**3 - 7*l - 32*l**2 - l - 28*l**4 = 0. -2, -1, -2/3, 0 Let x = 408 + -404. Let y(f) be the first derivative of 1/3*f**3 + 0*f - 1/5*f**5 + 1/10*f**2 - 1/20*f**x - 2. Factor y(d). -d*(d - 1)*(d + 1)*(5*d + 1)/5 Let w(z) be the second derivative of -z**6/30 - 11*z**5/30 - z**4 + z**3/6 - 10*z. Let t(d) be the second derivative of w(d). What is g in t(g) = 0? -3, -2/3 Let -192*c - 232*c**2 + 66*c**3 + 72 + 75/2*c**4 + 7/2*c**5 = 0. Calculate c. -6, -1, 2/7, 2 Let o be (0 + (-5)/34)*(-1004)/1255. Find s, given that o + 2/17*s**2 - 4/17*s = 0. 1 Suppose -5*v + 6*v + 62 = 0. Let z = v + 62. Factor z*i**2 + 0 - 1/4*i**4 + 1/2*i**3 + 0*i. -i**3*(i - 2)/4 Suppose -3*a - 8 - 10 = -v, -2*a - 7 = v. Let p = -281 + 286. Suppose 0*o - 2/3*o**2 + 0 - 4/3*o**4 - 1/3*o**p - 5/3*o**v = 0. Calculate o. -2, -1, 0 Let n = 1672 + -133759/80. Let r(z) be the second derivative of -1/48*z**4 + 0*z**3 + 1/32*z**5 + 0*z**2 + 0 - 12*z + n*z**6. Suppose r(x) = 0. Calculate x. -2, 0, 1/3 Let p be 2 - 2*(-4)/(-6). Suppose 4*g + 5*o + 20 = 0, 2*g - 6*o + 20 = -11*o. Suppose -2/3*b + g - p*b**2 = 0. What is b? -1, 0 Suppose -9*h + 16 = 17*h - 62. Factor 8/7*z**h + 2/7*z**5 - 10/7*z + 4/7*z**2 + 4/7 - 8/7*z**4. 2*(z - 2)*(z - 1)**3*(z + 1)/7 Suppose 5*s = -187 + 202. Let l be 4 - (-24)/((-18)/s). Factor 0 + 2/3*j**3 - 2/3*j**2 - 2/3*j**5 + l*j + 2/3*j**4. -2*j**2*(j - 1)**2*(j + 1)/3 Factor -g**2 - 1/2*g**3 + 0 + 0*g. -g**2*(g + 2)/2 Factor -21/5*s**3 - 3/5*s**4 + 24/5*s**2 + 0 + 0*s. -3*s**2*(s - 1)*(s + 8)/5 Let q be (-8)/18 + 3 - 1. Let h(z) = -z**3 - 7*z**2 + 2*z - 46. Let y be h(-8). Factor q*v**y - 16/9*v + 2/9. 2*(v - 1)*(7*v - 1)/9 Let x be (-2)/10 + 26/5. Find y such that 4*y**3 + 9*y**4 + 3*y**5 + 0*y**5 + x*y**3 + 3*y**2 = 0. -1, 0 Let x = -35 - -40. Let y(z) be the third derivative of -1/42*z**4 + 1/210*z**x + 0 + 0*z + 0*z**3 - 5*z**2. Solve y(f) = 0. 0, 2 Let u = 18 - 9. What is d in 2*d**2 + 22*d**2 - u*d**3 + d**4 - 9*d - 7*d = 0? 0, 1, 4 Let o be 6/(-4) + (-129)/(-6). Let p be (-5)/o + 10*(-6)/(-112). Determine k so that p*k**3 + 0 + 4/7*k**2 + 2/7*k = 0. -1, 0 Let r(d) be the first derivative of d**6/10 - 6*d**5/25 - 3*d**4/4 + 6*d**3/5 - 391. Find v such that r(v) = 0. -2, 0, 1, 3 Factor 1/3 - 73/6*p**2 - 71/6*p. -(p + 1)*(73*p - 2)/6 Let b(j) = 14*j**4 + 24*j**3 - 30*j**2 + 16. Let c(m) = -9*m**4 - 16*m**3 + 20*m**2 - 10. Let k(s) = -5*b(s) - 8*c(s). Factor k(p). 2*p**2*(p - 1)*(p + 5) Let w(f) = -f**3 - 12*f**2 - 16*f - 14. Let l be (-132)/(-48)*(-5 + 1). Let t be w(l). Factor -48*i**2 - 4*i**4 - 24*i**3 + 4*i - t*i + 5*i. -4*i*(i + 2)**3 Let n be 4 - 8/(-5 + 13). Let i(o) be the third derivative of 3*o**2 + 0*o**n - 1/48*o**4 + 0*o + 1/120*o**5 + 0. Factor i(z). z*(z - 1)/2 Let 15*d**2 + 85*d - 65*d**2 - 16*d**2 - 14*d**2 - 5 = 0. Calculate d. 1/16, 1 Find f such that -486/11 + 2052/11*f - 438/11*f**2 + 24/11*f**3 = 0. 1/4, 9 Let h = -4943 - -9889/2. Determine m so that -7/4*m - 1/4*m**2 - h = 0. -6, -1 Let q = -24 - -32. Determine f so that -5*f**3 - 4*f**3 - q*f**4 + 8*f**2 + 2*f**3 + 4*f**5 + 3*f**3 = 0. -1, 0, 1, 2 Let q(c) be the third derivative of -6*c**2 + 0 + 1/24*c**6 - 11/4*c**5 + 0*c + 425/8*c**4 + 1445/6*c**3. Factor q(k). 5*(k - 17)**2*(k + 1) Let t(h) be the third derivative of 28*h**2 + 0*h**3 + 0*h - 1/160*h**5 + 0*h**4 + 0. Factor t(x). -3*x**2/8 Let r be 25/15*((-1782)/(-570) - 3). Find y, given that -18/19*y - 4/19*y**2 + 18/19*y**3 + r = 0. -1, 2/9, 1 Let m = 3/2581 + 23214/12905. Factor -6/5*c - 21/5*c**2 + 0 - 24/5*c**3 - m*c**4. -3*c*(c + 1)**2*(3*c + 2)/5 Let i(s) be the first derivative of -s**6/60 + s**5/50 + 3*s**4/40 - s**3/30 - s**2/10 + 82. Determine n, given that i(n) = 0. -1, 0, 1, 2 Let k be 6/(2 - 15/12). Suppose 3*t = 20 - k. Factor 3*o**2 - 8 + t*o**2 - o**2 - 2*o**2 - 4*o. 4*(o - 2)*(o + 1) Let i(b) be the first derivative of -b**8/1680 - b**7/525 - b**6/600 + 57*b**2/2 - 49. Let v(a) be the second derivative of i(a). Factor v(k). -k**3*(k + 1)**2/5 Let h(k) be the second derivative of -k**4/4 + 54*k**3 - 4374*k**2 - 2*k + 96. Factor h(v). -3*(v - 54)**2 Suppose -3*d = -3*v - 0 - 3, -5*v + 4*d = 0. Find z, given that 2*z**2 - z**3 + 6*z**2 - 3*z**v - 6*z**2 = 0. -1, 0, 2/3 Factor 2/5*g**3 - 12/5 + 2/5*g + 8/5*g**2. 2*(g - 1)*(g + 2)*(g + 3)/5 Factor -21/2*p + 81/8 + 3/8*p**2. 3*(p - 27)*(p - 1)/8 Let t(f) be the third derivative of f**7/1260 - f**6/240 - f**5/24 + 19*f**4/144 + 5*f**3/6 - 228*f**2. Find q, given that t(q) = 0. -3, -1, 2, 5 Let n = 12897/25802 - -2/12901. Factor -1/2*a - 1/2*a**4 + a**2 - 1/2*a**5 - n + a**3. -(a - 1)**2*(a + 1)**3/2 Let z(s) = -4*s + 28. Let w be z(6). Let l(n) be the third derivative of 8*n**2 + 4/15*n**3 + 7/15*n**w + 49/150*n**5 + 0 + 0*n. Find t such that l(t) = 0. -2/7 Let v(a) be the first derivative of a**5/110 + a**4/132 - 17*a**2/2 - 3. Let w(c) be the second derivative of v(c). Let w(u) = 0. What is u? -1/3, 0 Let c(w) = 41*w - 41. Let z(i) = -19*i + 20. Let h(s) = 6*c(s) + 13*z(s). Let p be h(11). Factor -1/4*y - 1/4*y**2 + 1/4*y**4 + 0 + 1/4*y**p. y*(y - 1)*(y + 1)**2/4 Suppose -68/7*l**2 - 240/7*l**3 - l**4 + 0 + 0*l = 0. Calculate l. -34, -2/7, 0 Let w be (224/168)/(3/18). Suppose -4*g = 4*j - 452, g + 450 = 5*g + 2*j. Suppose -w*a**3 - g + 4*a**2 + 112 + 4*a**4 = 0. Calculate a. 0, 1 Let t(y) be the third derivative of y**6/5 - 3*y**5/20 - y**2 - 90. Factor t(s). 3*s**2*(8*s - 3) Let m(s) be the third derivative of 9*s**6/70 + 8*s**5/35 - s**4/6 - 8*s**3/21 + 6*s**2 + s. Find l such that m(l) = 0. -1, -1/3, 4/9 Let w(g) be the first derivative of -3*g**5/5 - 6*g**4 + g**3 + 12*g**2 - 167. Let w(j) = 0. Calculate j. -8, -1, 0, 1 Let v = 18 + -24. Let c be (7/3)/(-7) - 2/v. Solve -2/9*f**3 + 4/9*f**2 + c - 2/9*f = 0 for f. 0, 1 Let k(w) be the first derivative of -9/20*w**2 - 1/5*w**3 + 0*w + 42 - 1/40*w**4. What is p in k(p) = 0? -3, 0 Let -11/3*c**2 + 2*c + 4/3*c**3 + 0 + 1/3*c**4 = 0. What is c? -6, 0, 1 Suppose 2*p + 8 = -4*u, -4*p - 2*u - u = 1. Let z(x) be the second derivative of 0*x**2 - p*x - 1/15*x**6 + 0 - 1/3*x**3 - 3/10*x**5 - 1/2*x**4. Factor z(w). -2*w*(w + 1)**3 Let d(r) be the first derivative of -r**6/40 + 3*r**5/80 + r**4/4 - r**3/2 - 5*r + 1. Let n(b) be the first derivative of d(b). Factor n(j). -3*j*(j - 2)*(j - 1)*(j + 2)/4 Let w = -26 + 73. Let n = w - 42. Factor 21/4*c**n + 0
{ "pile_set_name": "DM Mathematics" }
nominator of -86/21 and -2 + (-44)/75 + (20 - 17). 525 Suppose 5*c - 104 = 141. What is the lowest common multiple of c and 63? 441 Let c(p) = 2*p**2 + 9*p + 6. Let f be c(-4). Suppose f - 16 = -7*k. Let o = 59 + 15. What is the least common multiple of o and k? 74 Let j be ((-1)/(-1))/(5/25). Suppose 0 = 2*m + 4*z - 0*z + 10, 3*z = j*m - 27. Suppose k = -k + 16. What is the smallest common multiple of m and k? 24 Let r be 2444646/(-36) - 1/6. Let y be (r/(-72400) - -1) + -1. Let t = y + -2/4525. Find the common denominator of -59/12 and t. 48 Let o = 818100/19 - 7849427/228. Let j be (1437/2)/((-3)/(-36)). Let q = j - o. What is the common denominator of 73/18 and q? 36 Let z(c) = -c - 10. Let i be (-13)/(((-16)/(-24))/((-4)/(-6))). Let k(n) = n**2 + 6*n + 9. What is the least common multiple of z(i) and k(-8)? 75 Calculate the lowest common multiple of 384 and ((-56)/5)/(11 + (-2442)/220). 2688 Let z = -8819/16 + 552. What is the common denominator of z and 4/((-80)/(-9)) - -2? 80 Let z be (-32)/6 - (-4)/12. Calculate the common denominator of 1017/(-270) + 2/z and 0 - (1 + 87/27). 18 What is the common denominator of 107/22 and (-24)/160*(-54)/111? 4070 Let f = 86/61 + -5767/3355. What is the common denominator of f and 7/264? 1320 Suppose -3*t = -6*t - 570. What is the common denominator of -1 - (-1)/(6 + -1) and t/(-4)*(-3)/10? 20 Let r be 2 + (-3 - (-12)/16*451). Let x be (-3)/6*0 + 333. Let z = r - x. Find the common denominator of -27/4 and z. 4 Let m(k) = -5*k + 16 + 3*k - 8 - 11. Let o be m(-3). Suppose -3*v + 31 = -2*u + 4*u, -u + 17 = o*v. Calculate the lowest common multiple of 20 and u. 140 Let d(f) = 12*f**3 - 4*f**2 + 7*f + 9. Let b be d(-4). Let g = b + 18725/22. What is the common denominator of g and 31/12? 132 Let g = -29280 - -3572075/122. Find the common denominator of 67/36 and g. 2196 Let s = -12447 + 174169/14. What is the common denominator of s and -17/28? 28 Let i = -3143063 + 436869779/139. Let d = 2451250/22379 + i. Let q = d - 2/161. What is the common denominator of q and 53/12? 84 Let j = 587/158 - 17375/6952. Find the common denominator of 53/33 and j. 264 Let b = 109 + -78. Suppose b = -h + 11. Let m = 42 + h. Calculate the least common multiple of m and 22. 22 Let l(i) = -50*i - 834. What is the least common multiple of 274 and l(-17)? 2192 Suppose 3*w = -3779 + 29648. Let h be 4*1*w/(-4). Let o = 189647/22 + h. Calculate the common denominator of -71/4 and o. 44 Let i = -190 - -765/4. What is the common denominator of i and -113/6? 12 Calculate the common denominator of (-1)/((-3)/(-159))*(-32)/(-2048) and 17/24. 192 Let c = 543 + -1057/2. Calculate the common denominator of c and 38/5. 10 Suppose -2*r = -0 + 2. Let t be 2/5*(r + -4). Let x(f) = 3*f**2 + f. What is the smallest common multiple of x(t) and 2? 10 Let w = 14 - 14. Let t be (w - -599)*(2 - -13). Let g = 134699/15 - t. Calculate the common denominator of -16/9 and g. 45 Find the common denominator of 1076/(-42) - (-2)/7 and (288/(-104))/(-12)*(5/(-3) + 3). 39 Suppose 16*a = 21*a - 65. Suppose 2*o = -2*i + 14, -3*o + 6*o + i - a = 0. What is the smallest common multiple of o and 30? 30 What is the smallest common multiple of (-2 - (-20)/11) + 138/33 and 58? 116 Let s = -26215/552 - -1030/23. Find the common denominator of -109/36 and s. 72 Let r = -48135/8 - -6027. Find the common denominator of r and 39/8. 8 Let c(j) = -3*j**2 - 6*j + 3. Let r be c(-6). Calculate the common denominator of 7/20 and r/(-48)*8/(-12)*2. 60 Suppose 11*h + h + 71580 = 0. Let a = 119343/20 + h. Find the common denominator of 13/11 and a. 220 Let b = 4044 + -72761/18. Let h = -187/112 - 89/48. Find the common denominator of h and b. 126 Suppose -2*z + 3*o + 14 = -0*z, -5*z - o + 52 = 0. Let b = z - 13. Find the common denominator of -53/10 and ((-156)/(-16) - -1) + b. 20 Let d(i) = 2*i**3 - i**2 + 13*i + 66. Calculate the least common multiple of 30 and d(0). 330 Suppose 7*x - 3*x = -4*g - 484, -2*g - 246 = 3*x. What is the common denominator of -57/10 and g/(-130) + (-2)/(-4)? 10 Let t(i) = -2*i**2 + 29*i - 16. Let l be t(13). Suppose 4 = -w - a, -w + l = 2*w - 4*a. Calculate the smallest common multiple of 5 and w. 5 Let p = 7 - 2. Suppose -5*i + 10 = 0, 2*i = -p*a + 2*a + 52. Calculate the least common multiple of 16 and a. 16 Let x = -4974/5 + 3985/4. Calculate the common denominator of 17/112 and x. 560 Let x be ((-84)/70)/(2/(-5)). Suppose -x*r = -97 + 1. What is the least common multiple of r and 32? 32 What is the common denominator of 39*(68/(-22) - -3) and (169/(-130))/(8/(-70))? 88 Let n = -41 - -50. Let a = n - 3. Calculate the lowest common multiple of 18 and a. 18 Suppose 71 = 3*a - h, -a + 5*h - 77 = -4*a. Calculate the common denominator of (a/(-32))/(3/(-55)) and (-1)/(-4) - (-75)/440*10. 44 Let r be (1/(-3))/(856/(-36268)). Let s = 14/321 + r. Calculate the common denominator of (-2 - -1) + 2233/116 and s. 12 Let c(w) = w**2 + w - 82. What is the smallest common multiple of 12 and c(-12)? 300 Suppose -2*l = -8 - 10. What is the least common multiple of 168 and l? 504 Suppose 5*k - 5*g - 670 = 0, -2*k - 2*g + 5*g = -267. Calculate the common denominator of (36/56)/((-1)/(-6)) and 30/k - 550/126. 7 Suppose 34 = 4*d + 4*f - 5*f, -4*d + 2*f = -36. Suppose -60 = -2*n - d*n. What is the least common multiple of n and 8? 24 Suppose 0 = j - 21 + 25. Let d(a) = -2*a**3 - a**2 + a. What is the least common multiple of (-30)/j + (-3)/2 and d(-2)? 30 Let j be 3 + (12/(-4) - 0). Suppose -5*u = -j*u + 3*w - 8825, -u + 1748 = 4*w. Let d = u + -12413/7. Find the common denominator of d and 13. 7 Let i = 1638 + -8151/5. Suppose -2*x + 8*x = -204. What is the common denominator of i and (-12)/16 + 3/72*x? 30 What is the least common multiple of 72/2*(1 - 5)/(-4) and 188? 1692 Let o(m) = 3*m + 7. Suppose 0 = -0*i - 2*i + 2*x + 10, 4*x = -2*i + 10. Calculate the least common multiple of 8 and o(i). 88 Suppose 0 = -5*w - 0*w - f + 22, -5*f = 3*w. Suppose -w*n + 5 = 0, 1 = -2*p - n + 12. Find the common denominator of 37/8 and p/33*81/(-18). 88 Let t = 11 + -9. Suppose 0 = 5*j - t*j + 33. What is the common denominator of (1 + j)/(24/42) and -13/8? 8 Let q = 277969/18 - 15448. What is the common denominator of 87/28 and q? 252 Let p(g) = g - 1. Let m(f) = -f**2 - 2*f. Suppose k - 4*k = 9. Let v(j) = k*p(j) - 2*m(j). What is the smallest common multiple of v(-3) and 4? 36 Suppose 24*w = 27*w + 6. What is the lowest common multiple of 8 and 16/12*(-27)/w? 72 Let s = -331 - -341. What is the least common multiple of s and 20? 20 Suppose i - 4*x + 6 = 0, 7*i - 2*i = -4*x + 90. Calculate the smallest common multiple of 52/i + 6/21 and 6/10 - 399/(-140)*4. 12 Suppose f - 7 = -3*y, -3*y = y - 4*f - 20. Let b(a) = 2*a**3 - 6*a**2 + 4*a + 2. Calculate the lowest common multiple of b(y) and ((-14)/8)/((-4)/32). 14 Calculate the common denominator of 46/27 and (-2)/6 + (-1170)/(-54). 27 Suppose 4*l - 33 - 15 = 0. Let s(u) = u - 21. Let c be s(l). Find the common denominator of 37/4 and 2/c + (-4505)/990. 44 Let u = 1300 - 1280. Calculate the least common multiple of 452 and u. 2260 Let u = -211 + 297. Suppose -u = 5*m - 241. Let g = 47 - m. Calculate the smallest common multiple of g and 12. 48 Let l = 1/18958 + -10166228/9479. Let x = l + 5397/5. Let i = 3/1112 + -16133/3336. What is the common denominator of i and x? 30 Let z = -50 + 72. Calculate the smallest common multiple of z and 72/30*(-20)/(-6). 88 Let p = 400/51 + -11041/816. Calculate the common denominator of p and 41/16. 16 Suppose v + 44 = 4*u, 17*u - 3*v = 21*u - 28. Calculate the lowest common multiple of u and 77. 770 Suppose 8809 = 17*t - 2683. What is the least common multiple of t and 22? 7436 Suppose 11*k - 5*k = 24. What is the smallest common multiple of k and 12? 12 Suppose -3*d - 2*o = 13, -2*o + 16 = 2*o. Let i = d + 9. Suppose -2*q + 3*p + 17 = -0*p, -p - i = 3*q. What is the lowest common multiple of q and 9? 9 Let f = 483 + -478. Suppose 3*m - 5*m - 2 = 0. Calculate the least common multiple of 8 - ((2 - 0) + m) and f. 35 Suppose -2*h - 7 = -1. Let j = 3 - h. Suppose -2*k - 3*t + 23 = 0, -j*t + 7*t - 13 = -k. Calculate the lowest common multiple of 18 and k. 144 Let d be 80/32*(-1 + 3). Suppose 0 = -t
{ "pile_set_name": "DM Mathematics" }
is the fourth smallest value in 3/4, 333, -5, -4/3? 333 What is the third smallest value in -4/3, -39, -3, -6? -3 What is the smallest value in -0.3, 0, -80? -80 What is the fourth smallest value in 11, -0.1, -2, -12? 11 Which is the fifth biggest value? (a) 0.1 (b) -2 (c) 11 (d) 2.6 (e) 0.5 b What is the third biggest value in -4.8, -1.3, 2? -4.8 What is the third smallest value in -0.2, -7/3, 119? 119 What is the third smallest value in -3, -1, 5, -0.8, -1/3? -0.8 Which is the second smallest value? (a) -3/5 (b) -127 (c) 2 a Which is the biggest value? (a) -6 (b) -0.08 (c) 4 c What is the third smallest value in 0.07, 6.5, -2, 3, -5? 0.07 What is the second smallest value in 0.1, 237, 0.4? 0.4 What is the second smallest value in -9, 4, -8? -8 What is the smallest value in 32, 20, 4? 4 Which is the second biggest value? (a) 5 (b) 1007 (c) -1 a Which is the third smallest value? (a) -2 (b) 2 (c) 93 c Which is the second smallest value? (a) -3/5 (b) -1.9 (c) 0.04 (d) -0.3 a Which is the fifth smallest value? (a) -18 (b) -4 (c) 1 (d) -2/13 (e) 0.2 c Which is the biggest value? (a) -4 (b) -5/3 (c) -1/6 c What is the fourth smallest value in 1/8, -2/65, 0, 0.02? 1/8 What is the third smallest value in 2/13, -0.5, 6, -0.6? 2/13 What is the fifth biggest value in -5, 0.1, 0, -0.01, -26? -26 What is the smallest value in 1/4, 1/7, -89? -89 Which is the third smallest value? (a) -0.86 (b) -2/65 (c) 0 c What is the second smallest value in -3/524, 0.4, -2? -3/524 Which is the third biggest value? (a) 25 (b) -11 (c) 4 b Which is the smallest value? (a) 0.5 (b) 16.1 (c) -0.2 c What is the second biggest value in -3, -0.04, 0.5, 16? 0.5 Which is the smallest value? (a) -0.3 (b) 0.4 (c) -1/3 (d) 1.5 (e) 7/2 c Which is the second biggest value? (a) -26 (b) 0.3 (c) -4 (d) -0.5 d Which is the third smallest value? (a) 2/11 (b) -2/9 (c) 3/8 (d) 0.3 (e) -13 a What is the second biggest value in -0.2, 6/13, -0.4, -4/5? -0.2 Which is the third smallest value? (a) 0.11 (b) 3/7 (c) -1/2 b What is the second smallest value in 0.2, 1/75, 3.2? 0.2 What is the smallest value in -0.2, 4/3, 7/4? -0.2 Which is the biggest value? (a) 0 (b) 6/7 (c) 5 (d) 1 c What is the third smallest value in -0.4, 6, -1/12, -1.27? -1/12 Which is the third smallest value? (a) 1/5 (b) 1115 (c) 3 b What is the smallest value in 0.3, -21, -4, -5? -21 Which is the second smallest value? (a) -29 (b) 3 (c) -1/5 c Which is the second biggest value? (a) 0.3 (b) -12 (c) -0.5 (d) -5/6 (e) -1 c Which is the fourth smallest value? (a) -0.2 (b) 5 (c) -0.3 (d) 4 (e) -14 d Which is the third smallest value? (a) 5 (b) -6 (c) 0.25 (d) -1/3 c Which is the second biggest value? (a) 1 (b) -18 (c) -1 c Which is the third biggest value? (a) -3/10 (b) -2.7 (c) 1.5 b What is the third smallest value in 3, -0.2, 0.1, 1/199? 0.1 Which is the biggest value? (a) -66/37 (b) 2/7 (c) 1/2 (d) -0.1 (e) 5/6 e What is the third smallest value in 0.4, 1/3, 2/17, -5, 0.18? 0.18 What is the smallest value in -2/11, -0.3, -1? -1 What is the third smallest value in 0.4, -12/7, -0.3? 0.4 Which is the third smallest value? (a) 0 (b) 1 (c) -12 b Which is the second smallest value? (a) 0 (b) -2/3 (c) 89 (d) -4 b Which is the third smallest value? (a) -30 (b) 2 (c) 5 (d) -0.08 (e) 0 e What is the second smallest value in 12, -42, 0.3? 0.3 Which is the fourth biggest value? (a) -2 (b) -0.96 (c) -10 (d) -4 c Which is the third smallest value? (a) -0.4 (b) 3 (c) -0.0648 (d) 4 b What is the fourth biggest value in -2, 0.05, 4, 2/15? -2 What is the second smallest value in -16/11, -0.4, 1, -11/10, -3? -16/11 What is the smallest value in -4, 2.3, -2? -4 What is the fourth biggest value in 2/7, -3, -4, 0.5? -4 What is the fourth smallest value in 7, -0.08, -1, 3? 7 Which is the biggest value? (a) 190 (b) -1 (c) 0.5 (d) 0.03 a What is the second biggest value in -22, -3, -2, -2/11? -2 What is the fourth biggest value in 1, -3/8, -2.3, 3/7? -2.3 Which is the second biggest value? (a) 2/7 (b) 0.05 (c) -8 b What is the second biggest value in -3, 18, -0.06, 0.3, 1? 1 Which is the third biggest value? (a) 171 (b) -3 (c) 0 b What is the second biggest value in -0.1, -4998/19, -3/5? -3/5 Which is the biggest value? (a) -0.1 (b) 0.02 (c) -0.03 b Which is the second biggest value? (a) -3 (b) -1.6 (c) 1 (d) -2 (e) 2/9 e What is the biggest value in 3, -2, -0.1, 61/3, 0.5? 61/3 Which is the smallest value? (a) -2/47 (b) 3 (c) 1/3 a Which is the third biggest value? (a) 18 (b) -4 (c) -0.2 (d) 5 c Which is the smallest value? (a) 0.2 (b) 29 (c) 3/8 (d) -2 (e) -4/5 d Which is the second smallest value? (a) -0.4 (b) 2/3 (c) -1.29 a Which is the second smallest value? (a) -2 (b) -297 (c) 2/11 (d) 0.4 a Which is the third smallest value? (a) -8 (b) 3/8 (c) -1/5 (d) -5 c Which is the third biggest value? (a) -36 (b) 2 (c) 0.3 a What is the fourth biggest value in -2/5, 1, -2, -3, 1/2? -2 What is the fourth smallest value in 8, -7, 1/3, 0.1, -5? 1/3 What is the second biggest value in -1691, -2/3, -2/21, 2, -2? -2/21 What is the smallest value in -0.1, -362/7, -1? -362/7 Which is the second smallest value? (a) -207/8 (b) -0.2 (c) -1 c What is the fourth smallest value in 6, -0.3, -0.4, -63, 4? 4 Which is the fifth biggest value? (a) -2 (b) 5 (c) 392 (d) -0.4 (e) 0.2 a What is the smallest value in 4/5, -8, 92? -8 What is the third smallest value in -0.023, -3, 0.4? 0.4 What is the second smallest value in -3, -12, 4, 0, -2/19? -3 What is the fourth biggest value in 0.045, 0.1, 0.03, 0.4, 0.2? 0.045 Which is the third smallest value? (a) 2/3 (b) 17 (c) -2/303 b Which is the fourth smallest value? (a) 1/4 (b) 223 (c) -0.09 (d) -0.4 b What is the second smallest value in -25, 3, 4? 3 What is the biggest value in 5, 0.4, 0.76, -0.3? 5 What is the second biggest value in 3, 9, -0.8? 3 Which is the fifth biggest value? (a) 5 (b) 0 (c) -0.04 (d) 0.04 (e) 3 c Which is the biggest value? (a) -1/3 (b) 1 (c) 0 (d) -0.048 b What is the smallest value in 0, -5, 2, 1/3, 335? -5 What is the third smallest value in -1, 5, 6, -3/5? 5 What is the second biggest value in -10, 1/5, -3, -0.62? -0.62 Which is the second smallest value? (a) -1/3 (b) 17 (c) -4 a Which is the biggest value? (a) -1/5 (b) 11 (c) 0.4 (d) 3/4 (e) 5 b What is the biggest value in 4, -1, 0.66? 4 Which is the smallest value? (a) 5 (b) 0 (c) -13.8 c Which is the smallest value? (a) -1/4 (b) 0.3 (c) 2 (d) -10 (e) -11 e What is the fifth biggest value in -2, 11, -3/5, -3, -237? -237 What is the second smallest value in 0.4, 679, -2/7, -2/13? -2/13 What is the fifth smallest value in -3, -2, 0, 1/5, 0.27? 0.27 What is the smallest value in 1, -2/5, -3, -10? -10 Which is the second smallest value? (a) -4 (b) 0.5 (c) 0.1 (d) 1/3 (e) 6 c Which is the second biggest value? (a) -22 (b) -2 (c) 0.2 b What is the fifth smallest value in 0.3, -0.1, 0.5, 5, -4/61? 5 What is the fourth biggest value in -4, -15, 18, -0.03? -15 Which is the third smallest value? (a) -0.5 (b) -0.055 (c) -2 b Which is the biggest value? (a) -4 (b) -1 (c) -51.5 b What is the fourth smallest value in 0, -1/4, -0.1, -1, -1.5? -0.1 What is the smallest value in 4, -2/9, 64/5, 5? -2/9 Which is the second biggest value? (a) 0.3 (b) 3/8 (c) -2 (d) 5 b What is the third smallest value in 3, 2, -6, -18? 2 What is the second smallest value in 2/5, -0.4, 0.489, 0.2? 0.2 Which is the smallest value? (a) -1/92 (b) 0.5 (c) 4 a Which is the biggest value? (a) 27 (b) -8/13 (c) -4 a What is the second smallest value in 6/19, 2, 0.4, -21? 6/19 Which is the fifth smallest value? (a) 3/4 (b) 0 (c) 1/4 (d) 2/13 (e) 0.05 a Which is the biggest value? (a) -0.64 (b) 5 (c) 5/2 b Which is the fourth biggest value? (a) -2 (b) -0.18 (c) 1 (d) 0.37 (e) -5 a What is the fifth biggest value in 4, -13, 5, -2/5, -2/87? -13 What is the third smallest value in 3/7, -214, -1? 3/7 What is the biggest value in 0.2, -3, 61? 61 Which is the biggest value? (a) -76 (b) -2 (c) -2/3 c Which is the biggest value? (a) 14 (b) 9 (c) 0 a Which is the
{ "pile_set_name": "DM Mathematics" }
07 is divided by 4077. 22 What is the remainder when 3636 is divided by 663? 321 What is the remainder when 10496892 is divided by 11061? 3 What is the remainder when 24230706 is divided by 184967? 29 Calculate the remainder when 15519376 is divided by 47. 23 What is the remainder when 731963 is divided by 28152? 11 What is the remainder when 225421 is divided by 3379? 2407 Calculate the remainder when 50643 is divided by 12106. 2219 Calculate the remainder when 1371136 is divided by 50782. 22 Calculate the remainder when 119922 is divided by 1202. 924 Calculate the remainder when 53338 is divided by 582. 376 What is the remainder when 83325 is divided by 16488? 885 What is the remainder when 10074 is divided by 9644? 430 What is the remainder when 2719498 is divided by 679867? 30 Calculate the remainder when 19045 is divided by 679. 33 Calculate the remainder when 15548128 is divided by 1170. 1168 Calculate the remainder when 21628065 is divided by 7209352. 9 Calculate the remainder when 5093919 is divided by 2054. 2053 What is the remainder when 398933 is divided by 195730? 7473 What is the remainder when 1469638 is divided by 66796? 126 What is the remainder when 804067325 is divided by 6974? 6969 Calculate the remainder when 471202 is divided by 6928. 98 Calculate the remainder when 77829848 is divided by 350. 348 Calculate the remainder when 127688 is divided by 24350. 5938 What is the remainder when 1646150 is divided by 235161? 23 What is the remainder when 3421385 is divided by 570226? 29 Calculate the remainder when 2272 is divided by 943. 386 What is the remainder when 20048648 is divided by 208839? 104 Calculate the remainder when 1664560 is divided by 10. 0 Calculate the remainder when 15834843 is divided by 98353. 10 Calculate the remainder when 4913303 is divided by 9485. 73 Calculate the remainder when 26638 is divided by 23746. 2892 Calculate the remainder when 564218 is divided by 37. 5 What is the remainder when 1571306 is divided by 74824? 2 What is the remainder when 4412638 is divided by 491? 21 What is the remainder when 72357 is divided by 20367? 11256 What is the remainder when 484582 is divided by 28? 14 What is the remainder when 158511 is divided by 3302? 15 Calculate the remainder when 470430 is divided by 42761. 59 What is the remainder when 423199 is divided by 4498? 387 Calculate the remainder when 6841393 is divided by 561. 559 What is the remainder when 452798 is divided by 2409? 2315 Calculate the remainder when 4000892 is divided by 1847. 290 What is the remainder when 785457 is divided by 740? 317 Calculate the remainder when 16298 is divided by 3957. 470 What is the remainder when 330999 is divided by 164406? 2187 Calculate the remainder when 9641283 is divided by 9641280. 3 Calculate the remainder when 3561328 is divided by 254351. 414 Calculate the remainder when 31206 is divided by 1847. 1654 What is the remainder when 431481 is divided by 1726? 1707 What is the remainder when 4029909 is divided by 671638? 81 Calculate the remainder when 953143 is divided by 134. 1 Calculate the remainder when 126182777 is divided by 942. 935 Calculate the remainder when 5673673 is divided by 70. 33 What is the remainder when 3887037 is divided by 3886957? 80 Calculate the remainder when 1448325 is divided by 724060. 205 Calculate the remainder when 432887 is divided by 3393. 1976 What is the remainder when 3513975 is divided by 17837? 86 What is the remainder when 149176 is divided by 1756? 1672 What is the remainder when 444144 is divided by 48? 0 What is the remainder when 6469444 is divided by 323447? 504 Calculate the remainder when 910914 is divided by 908303. 2611 Calculate the remainder when 28892 is divided by 9023. 1823 Calculate the remainder when 2317080 is divided by 9614. 106 What is the remainder when 699873 is divided by 699791? 82 What is the remainder when 507100 is divided by 168511? 1567 Calculate the remainder when 2786447 is divided by 1107. 128 What is the remainder when 4563789 is divided by 13? 9 What is the remainder when 444597 is divided by 74093? 39 Calculate the remainder when 352748 is divided by 176327. 94 Calculate the remainder when 8053535 is divided by 40470. 5 What is the remainder when 103539 is divided by 97? 40 What is the remainder when 229095 is divided by 16? 7 What is the remainder when 558602 is divided by 10342? 134 Calculate the remainder when 160684708 is divided by 3753. 13 Calculate the remainder when 11282462 is divided by 1611780. 2 What is the remainder when 42202860 is divided by 21101423? 14 What is the remainder when 5396049 is divided by 158707? 11 What is the remainder when 86281 is divided by 3780? 3121 What is the remainder when 1304403 is divided by 68648? 91 Calculate the remainder when 31558617 is divided by 940. 937 Calculate the remainder when 7476616 is divided by 1495323. 1 Calculate the remainder when 17957 is divided by 5955. 92 Calculate the remainder when 196900 is divided by 11657. 10388 Calculate the remainder when 5466106 is divided by 2733030. 46 Calculate the remainder when 90280005 is divided by 30093333. 6 Calculate the remainder when 42153 is divided by 6901. 747 What is the remainder when 142718 is divided by 7500? 218 What is the remainder when 38897248 is divided by 195? 13 Calculate the remainder when 481725 is divided by 939. 18 Calculate the remainder when 64300618 is divided by 59. 58 Calculate the remainder when 78941 is divided by 3510. 1721 Calculate the remainder when 234005487 is divided by 6882514. 11 Calculate the remainder when 32557182 is divided by 16278590. 2 What is the remainder when 148618 is divided by 2817? 2134 What is the remainder when 245713776 is divided by 41? 38 Calculate the remainder when 924804 is divided by 78. 36 Calculate the remainder when 25837 is divided by 10618. 4601 Calculate the remainder when 860005 is divided by 5810. 125 What is the remainder when 168190 is divided by 4975? 4015 What is the remainder when 19320207 is divided by 674? 671 Calculate the remainder when 53329 is divided by 50. 29 Calculate the remainder when 740541 is divided by 105. 81 Calculate the remainder when 78548 is divided by 502. 236 Calculate the remainder when 376751 is divided by 558. 101 What is the remainder when 1328614 is divided by 599? 32 What is the remainder when 121263 is divided by 9010? 4133 What is the remainder when 8079901 is divided by 28? 25 Calculate the remainder when 13667328 is divided by 153. 144 What is the remainder when 652139 is divided by 440? 59 Calculate the remainder when 324976 is divided by 54153. 58 What is the remainder when 2820960 is divided by 29684? 980 Calculate the remainder when 1853939 is divided by 1853938. 1 What is the remainder when 386244271 is divided by 5174? 5171 Calculate the remainder when 16961238 is divided by 5. 3 Calculate the remainder when 5798762 is divided by 5798717. 45 What is the remainder when 208265 is divided by 3072? 2441 Calculate the remainder when 944124397 is divided by 121. 117 Calculate the remainder when 92610 is divided by 654. 396 What is the remainder when 10408329 is divided by 12332? 121 Calculate the remainder when 225233000 is divided by 8767. 3 Calculate the remainder when 5665651 is divided by 247. 212 What is the remainder when 2011954 is divided by 165? 109 Calculate the remainder when 334828 is divided by 5772. 52 What is the remainder when 6202569 is divided by 19383? 9 What is the remainder when 1820958 is divided by 5875? 5583 What is the remainder when 47921741 is divided by 5? 1 Calculate the remainder when 416693 is divided by 208342. 9 What is the remainder when 1363776 is divided by 9672? 24 What is the remainder when 197335 is divided by 186383? 10952 Calculate the remainder when 198934179 is divided by 49733541. 15 What is the remainder when 249704 is divided by 6090? 14 What is the remainder when 11949666 is divided by 331935? 6 Calculate the remainder when 1105247 is divided by 1105223. 24 Calculate the remainder when 1950305 is divided by 12501. 149 What is the remainder when 71735120 is divided by 1015? 1010 What is the remainder when 2349246 is divided by 392? 382 Calculate the remainder when 7398593 is divided by 1449.
{ "pile_set_name": "DM Mathematics" }
14) to base 12. -31 Convert 2420 (base 5) to base 12. 260 6 (base 10) to base 6 10 Convert -1a (base 13) to base 11. -21 Convert -6b (base 15) to base 3. -10202 What is 3 (base 7) in base 13? 3 -c (base 14) to base 15 -c Convert -200 (base 3) to base 8. -22 4 (base 13) to base 10 4 -4 (base 14) to base 5 -4 2 (base 5) to base 16 2 -a (base 13) to base 7 -13 What is 2000 (base 4) in base 8? 200 What is -1120 (base 3) in base 8? -52 What is 0 (base 11) in base 14? 0 -2 (base 7) to base 15 -2 What is -4 (base 9) in base 15? -4 -11 (base 6) to base 3 -21 Convert 4 (base 8) to base 16. 4 What is -14 (base 14) in base 6? -30 -11 (base 12) to base 6 -21 Convert 0 (base 9) to base 15. 0 Convert -10 (base 14) to base 6. -22 What is -10 (base 7) in base 9? -7 -3 (base 8) to base 13 -3 Convert -3 (base 6) to base 9. -3 -18 (base 11) to base 8 -23 3 (base 8) to base 15 3 Convert -110 (base 7) to base 12. -48 Convert -62 (base 14) to base 7. -152 Convert 1332 (base 4) to base 11. 105 Convert -14 (base 7) to base 15. -b -1a (base 15) to base 9 -27 -28 (base 12) to base 9 -35 -1a (base 14) to base 16 -18 Convert -3 (base 15) to base 14. -3 What is 2 (base 6) in base 4? 2 What is 38 (base 11) in base 2? 101001 Convert 2 (base 4) to base 12. 2 What is -231 (base 4) in base 13? -36 3 (base 7) to base 11 3 What is 19 (base 14) in base 4? 113 0 (base 8) to base 3 0 10 (base 16) to base 3 121 0 (base 9) to base 7 0 16 (base 7) to base 3 111 What is -b (base 13) in base 5? -21 1031 (base 4) to base 13 5c What is -6 (base 10) in base 9? -6 What is -51 (base 8) in base 14? -2d Convert -30 (base 5) to base 7. -21 What is 24a (base 13) in base 14? 208 Convert 3221 (base 4) to base 8. 351 1 (base 4) to base 10 1 Convert 2 (base 3) to base 8. 2 -2 (base 3) to base 11 -2 6 (base 14) to base 7 6 Convert -4 (base 8) to base 7. -4 What is 1021 (base 3) in base 8? 42 Convert -47 (base 8) to base 11. -36 -1 (base 11) to base 6 -1 -2c (base 13) to base 2 -100110 1 (base 16) to base 14 1 Convert 5 (base 9) to base 16. 5 302 (base 4) to base 3 1212 What is 2 (base 6) in base 15? 2 Convert 0 (base 2) to base 13. 0 What is -a (base 13) in base 6? -14 What is 10010 (base 2) in base 11? 17 What is 4 (base 13) in base 11? 4 1 (base 3) to base 16 1 What is 5 (base 8) in base 15? 5 What is 2 (base 6) in base 16? 2 What is de (base 16) in base 15? ec Convert 3 (base 12) to base 6. 3 25 (base 13) to base 9 34 Convert 1 (base 8) to base 4. 1 What is 3 (base 13) in base 4? 3 -410 (base 5) to base 11 -96 What is -100 (base 6) in base 9? -40 What is -20 (base 6) in base 5? -22 Convert 102 (base 5) to base 12. 23 -9 (base 13) to base 11 -9 What is 201 (base 8) in base 7? 243 130 (base 4) to base 14 20 0 (base 13) to base 9 0 0 (base 6) to base 16 0 Convert 1000 (base 2) to base 4. 20 Convert 102 (base 3) to base 2. 1011 What is -1100 (base 3) in base 8? -44 0 (base 16) to base 13 0 What is -25 (base 10) in base 5? -100 0 (base 11) to base 6 0 Convert -6 (base 13) to base 4. -12 143 (base 5) to base 11 44 Convert -1 (base 3) to base 16. -1 What is 11 (base 4) in base 11? 5 What is -100 (base 3) in base 9? -10 3 (base 6) to base 15 3 What is -1 (base 3) in base 2? -1 2110 (base 4) to base 6 404 Convert -105 (base 6) to base 16. -29 What is -72 (base 12) in base 14? -62 -111 (base 2) to base 15 -7 Convert 11 (base 3) to base 11. 4 Convert -45 (base 15) to base 14. -49 21 (base 5) to base 11 10 What is 6 (base 15) in base 8? 6 What is 23 (base 11) in base 14? 1b What is -160 (base 10) in base 11? -136 -225 (base 11) to base 12 -1a5 What is 1 (base 4) in base 12? 1 Convert 1 (base 8) to base 15. 1 4c (base 13) to base 3 2101 Convert -104 (base 7) to base 16. -35 Convert 10200 (base 4) to base 6. 1200 What is -12 (base 12) in base 11? -13 What is -1 (base 6) in base 10? -1 1013 (base 5) to base 12 b1 Convert -10 (base 3) to base 15. -3 -11111011 (base 2) to base 14 -13d 3b (base 12) to base 6 115 Convert 7 (base 10) to base 4. 13 Convert -3 (base 9) to base 13. -3 -325 (base 7) to base 12 -11a What is -27 (base 9) in base 11? -23 Convert -37 (base 13) to base 2. -101110 213 (base 5) to base 4 322 What is 1121 (base 3) in base 6? 111 243 (base 5) to base 6 201 1e (base 15) to base 8 35 Convert 2 (base 5) to base 10. 2 What is -4 (base 9) in base 7? -4 What is 356 (base 7) in base 14? d6 Convert -1 (base 8) to base 12. -1 -a2 (base 12) to base 14 -8a Convert 33 (base 10) to base 2. 100001 What is 3 (base 13) in base 15? 3 1 (base 3) to base 11 1 What is -5 (base 6) in base 5? -10 Convert -3b (base 16) to base 6. -135 What is 12 (base 7) in base 10? 9 116 (base 10) to base 9 138 -3 (base 5) to base 15 -3 Convert -1110 (base 2) to base 12. -12 What is 10 (base 4) in base 3? 11 What is -21 (base 3) in base 2? -111 Convert 7 (base 8) to base 5. 12 1 (base 10) to base 8 1 What is -19 (base 13) in base 5? -42 What is -3 (base 4) in base 14? -3 Convert 13 (base 7) to base 12. a Convert 1 (base 8) to base 11. 1 -12 (base 4) to base 7 -6 Convert -121 (base 4) to base 9. -27 32 (base 10) to base 7 44 -202 (base 7) to base 12 -84 -110011 (base 2) to base 6 -123 Convert 4 (base 13) to base 10. 4 4 (base 13) to base 11 4 Convert b (base 12) to base 2. 1011 Convert -2 (base 16) to base 15. -2 Convert 105 (base 7) to base 14. 3c What is -32 (base 11) in base 15? -25 Convert -414 (base 8) to base 9. -327 29 (base 16) to base 6 105 Convert 3 (base 7) to base 16. 3 1c (base 14) to base 2 11010 What is 4 (base 7) in base 15? 4 192 (base 11) to base 2 11011110 Convert 6 (base 15) to base 12. 6 -16 (base 9) to base 8 -17 Convert 5 (base 7) to base 9. 5 What is 3 (base 6) in base 5? 3 What is -357 (base 8) in base 11? -1a8 What is 36 (base 7) in base 11? 25 33 (base 4) to base 15 10 -23 (base 11) to base 2 -11001 1420 (base 5) to base 15 10a Convert -11000 (base 2) to base 10. -24 -17 (base 13) to base 9 -22 Convert 2 (base 5) to base 13. 2 What is -a9 (base 12) in base 14? -93 -111 (base 4) to base 8 -25 What is -2121 (base 3) in base 13? -55 -14 (base 10) to base 14 -10 -2 (base 6) to base 14 -2 7 (base 12) to base 4 13 Convert 110 (base 4) to base 3. 202 What is 110 (base 2) in base 10? 6 72 (base 16) to base 8 162 Convert 0 (base 4) to base 7. 0 Convert 4 (base 5) to base 11. 4 -5 (base 8) to base 13 -5 Convert 12 (base 16) to base 2. 10010 0 (base 5) to base 11 0 Convert 12 (base 3) to base 9. 5 1 (base 12) to base 9 1 What is -4 (base 10) in base 9? -4 What is 3 (base 10) in base 8? 3 7 (base 11) to base 12 7 Convert 1 (base 3) to base 10. 1 What is 24 (base 5) in base 2? 1110 What is 1 (base 9) in base 5? 1 Convert -10 (base 2) to base 16. -2 What is 4 (base 7) in base 12? 4 What is -41 (base 12) in base 13? -3a What is 101110 (base 2) in base 13? 37 What is -1001111 (base 2) in base 4? -1033 -2303 (base 4) to base 14 -cb Convert 29 (base 12) to base 9. 36 Convert -50 (base 6) to base 10. -30 0 (base 3) to base 14 0 Convert -12 (base 4) to base 2. -110 200 (base 4) to base 12 28 What is 1 (base 9) in base 8? 1 0 (base 13) to base 3 0 -25 (base 8) to base 11 -1a What is -3 (base 7) in base 5? -3 What is 36 (base 7) in base 13? 21 2 (base 8) to base 5 2 -77 (base 9) to base 12 -5a Convert -90 (base 12) to base 15. -73 Convert 2213 (base 4) to base 5. 1132 What is a8 (base 14) in base 5? 1043 Convert -4 (base 6) to base 11. -4 Convert 0 (base 3) to base 2. 0 b (base 14) to base 8 13 What is 11b (base 12) in base 5? 1132 -2d (base 14) to base 10 -41 What is 141 (base 7) in base 12? 66 -20 (base 3) to base 14 -6 Convert -11 (base 8) to base 9. -10 7 (base 11) to base 5 12 Convert 4 (base 6) to base 14. 4 What is -4e (base 15) in base 14? -54 Convert -11 (base 5) to base 9. -6 What is 40 (base 11) in base 2? 101100 85 (base 14) to base 12 99 What is -100001 (base 2) in base 8? -41 Convert -142 (base 5) to base 13. -38 Convert 7 (base 13) to base 2. 111 Convert 9 (base 13) to base 6. 13 -1 (base 12) to base 7 -1 Convert -48 (base 15) to base 7. -125 What is 100110 (base 2) in base 12? 32 -16 (base 12) to base 4 -102 What is 130 (base 8) in base 3? 10021 -53 (base 9) to base 8 -60 -1d (base 15) to base 13 -22 What is 52 (base 15) in base 5? 302 -2 (base 12) to base 10 -2 Convert 355 (base 8) to base 4. 3231 -33 (base 5
{ "pile_set_name": "DM Mathematics" }
33 Let b(t) = -17*t - 3680. Calculate b(-217). 9 Let c(l) = -l**3 + 311*l**2 - 757*l + 42950. Give c(309). -1 Let j(r) = -r**3 + 140*r**2 - 136*r + 19048. What is j(140)? 8 Let q(o) = o**3 - 239*o**2 - 892*o + 98811. Determine q(241). 1 Let d(v) = -3*v - 32. What is d(-4)? -20 Let v(x) = -x**2 + 166*x + 5448. Determine v(-28). 16 Let a(b) = 2*b + 236. Give a(-36). 164 Let o(p) = 2*p**2 - 311*p + 2901. Determine o(10). -9 Let l(q) = -27*q**2 + 3943*q - 148. Give l(146). -2 Let l(a) = 130*a + 3882. Determine l(-30). -18 Let r(i) = -2*i**2 + 45*i + 4. Give r(22). 26 Let l(c) = 43*c + 1545. What is l(-36)? -3 Let l(w) = -36*w + 2090. Give l(58). 2 Let r(c) = 44*c - 1671. Give r(27). -483 Let x(a) = -37*a**2 - 189*a - 5. Determine x(-5). 15 Let k(j) = 3*j**2 + 21*j + 38. What is k(-7)? 38 Let f(q) = -q**2 - 209*q - 7613. Determine f(-162). 1 Let v(p) = -184*p - 2088. What is v(-13)? 304 Let l(b) = b**2 - 25*b + 87. Give l(22). 21 Let n(k) = 2*k**3 + 4*k**2 + 8*k - 22. Calculate n(4). 202 Let f(w) = -w**2 + 452*w + 53257. Give f(549). 4 Let i(v) = v**2 + 2461*v + 4923. What is i(-2)? 5 Let c(p) = 9*p**2 - 7*p + 19. Calculate c(2). 41 Let v(d) = 958*d - 943. What is v(1)? 15 Let c(q) = q**3 + 32*q**2 - 94*q - 767. Determine c(-34). 117 Let i(a) = -3*a**2 - 22*a - 120. Calculate i(-5). -85 Let r(s) = -426*s - 20878. Calculate r(-49). -4 Let t(c) = -12*c**2 + 91*c + 6. What is t(8)? -34 Let u(q) = -q**3 + 51*q**2 + 44*q + 264. Give u(52). -152 Let i(u) = -72*u - 1090. Determine i(-15). -10 Let d(c) = -c**2 - 69*c - 807. Calculate d(-12). -123 Let s(q) = -405*q - 94. Calculate s(0). -94 Let x(t) = -3*t**3 - 43*t**2 - 101*t - 20. Determine x(-11). -119 Let p(z) = 13*z + 4. What is p(14)? 186 Let f(d) = -9*d**3 + 12*d**2 + 3*d + 15. Calculate f(0). 15 Let r(q) = -692*q + 11002. Determine r(16). -70 Let b(i) = -i**3 - 65*i**2 - 184*i + 125. What is b(-62)? 1 Let o(u) = -u**2 + 26*u - 103. Give o(19). 30 Let j(k) = k**2 - 34*k - 337. Give j(-8). -1 Let x(i) = -325*i + 3891. What is x(12)? -9 Let c(l) = -99*l + 57. Give c(1). -42 Let t(y) = y**2 - 21*y - 18. Determine t(18). -72 Let q(g) = -46*g - 214. What is q(-4)? -30 Let y(f) = -f**2 - 9*f - 4. What is y(-16)? -116 Let l(m) = 2*m**2 - 1534*m + 21094. Determine l(14). 10 Let t(y) = -33*y + 13. Give t(-9). 310 Let l(i) = i**3 + 90*i**2 - 281*i - 201. Give l(-93). -15 Let a(s) = 2*s**2 + 10*s - 31. Determine a(2). -3 Let a(l) = 5*l**2 - 82*l - 363. Give a(-4). 45 Let l(d) = -3*d**2 - 3*d + 1161. Determine l(19). 21 Let c(m) = -536*m + 121676. Give c(227). 4 Let m(l) = l**3 - 17*l**2 - 52*l - 87. What is m(20)? 73 Let j(d) = d**3 + 14*d**2 + 20*d - 6. Give j(-12). 42 Let x(l) = -l**2 - 456*l + 3708. Calculate x(8). -4 Let h(o) = -20*o - 7. Give h(1). -27 Let f(o) = 16*o**2 + 10*o - 20. What is f(4)? 276 Let i(o) = -o**3 + 12*o**2 - 11*o - 4. Give i(7). 164 Let m(r) = -10*r**3 - 40*r**2 - r - 7. Calculate m(-4). -3 Let c(k) = -7*k**2 - 456*k - 60. Give c(-65). 5 Let g(h) = 212*h**2 - 6365*h + 145. Determine g(30). -5 Let n(f) = -443*f + 30524. What is n(69)? -43 Let y(g) = 21*g**2 + 12*g - 30. Calculate y(2). 78 Let z(a) = -440*a - 93726. What is z(-213)? -6 Let u(d) = -d**2 - 81*d - 761. Give u(-10). -51 Let x(f) = 257*f + 1554. Give x(-7). -245 Let u(c) = 41*c - 165. Calculate u(6). 81 Let k(a) = 96*a - 1414. What is k(13)? -166 Let d(g) = -4205*g + 21004. Determine d(5). -21 Let a(z) = 188*z**2 - 67*z - 131. Give a(-2). 755 Let g(q) = -q**2 - 84*q + 3701. Calculate g(-116). -11 Let x(j) = j**3 + 4*j**2 - 197*j - 80. Determine x(-16). 0 Let q(r) = -104*r + 9679. Calculate q(93). 7 Let l(r) = 12*r**2 + 32*r - 64. What is l(-4)? 0 Let t(h) = -6*h**2 - 13*h - 21. Give t(-6). -159 Let j(r) = r**3 - 14*r**2 - 3*r - 19. Give j(14). -61 Let o(m) = -m**3 + 23*m**2 - 77*m + 25. Determine o(19). 6 Let a(z) = -46*z + 164. Determine a(5). -66 Let f(b) = -b**3 + 6*b**2 - 14*b + 30. Calculate f(4). 6 Let c(a) = -2*a**3 + 28*a**2 - 40*a + 180. Calculate c(13). -2 Let j(w) = 3*w**2 - 560*w + 6290. Calculate j(12). 2 Let d(r) = -5*r**2 - 66*r + 5. Calculate d(-13). 18 Let h(z) = 19*z**2 - 367*z + 123. What is h(19)? 9 Let w(i) = -137*i - 4382. What is w(-32)? 2 Let o(j) = j**3 - 17*j**2 + 76*j + 3. Give o(9). 39 Let f(i) = -10*i**2 + 322*i - 80. Give f(32). -16 Let g(j) = 1148*j + 12628. Determine g(-11). 0 Let s(f) = -f**3 - 20*f**2 - 62*f + 101. Calculate s(-13). -276 Let w(m) = 9*m**2 + 175*m - 519. What is w(3)? 87 Let t(i) = 4*i**2 - 114*i - 24. Calculate t(28). -80 Let y(a) = -6*a**3 - 101*a**2 + 17*a - 20. What is y(-17)? -20 Let n(a) = -a**3 + 7*a**2 + 842*a - 5086. What is n(6)? 2 Let d(h) = 7*h**2 - 83*h + 64. What is d(11)? -2 Let d(w) = -134*w**2 - 460*w - 5. Determine d(-5). -1055 Let j(b) = -b**3 - 6*b**2 + 16*b + 54. Give j(-6). -42 Let o(w) = 51*w + 490. Calculate o(-27). -887 Let h(v) = -v**3 - 31*v**2 + 2*v + 45. Calculate h(-31). -17 Let z(c) = c**3 + 63*c**2 + 63*c + 74. Give z(-62). 12 Let p(o) = 5*o**3 - 2*o**2 - 8*o - 10. Determine p(-2). -42 Let g(s) = -s**3 - 10*s**2 - 147*s - 2841. Determine g(-14). 1 Let u(v) = -v**3 + 33*v**2 - 98*v + 365. Determine u(30). 125 Let g(l) = -130*l + 2600. What is g(20)? 0 Let w(v) = 43*v + 467. Calculate w(-11). -6 Let z(o) = -244*o + 2192. Determine z(9). -4 Let m(z) = z**3 + 19*z**2 + 120*z + 252. Give m(-7). 0 Let v(g) = 30*g + 1021. Calculate v(-34). 1 Let h(g) = 6*g**3 - 2*g**2 + 6*g + 21. Calculate h(-2). -47 Let c(x) = -2*x**3 + 16*x**2 + 206*x - 21. Calculate c(15). -81 Let i(l) = l**3 - 51*l**2 - 62*l + 523. Give i(52). 3 Let y(o) = 5*o**3 - 150*o**2 + 520*o - 3. Determine y(26). -3 Let y(d) = d**3 + 17*d**2 - 38*d - 348. What is y(-18)? 12 Let i(y) = y**3 + 35*y**2 + 74*y - 3. Give i(-2). -19 Let d(f) = -f**3 + 4*f**2 + 101*f - 562. What is d(8)? -10 Let d(c) = 3*c**3 + 58*c**2 + 4*c - 161. What is d(-19)? 124 Let u(w) = w**2 + 4*w - 106. Give u(9). 11 Let p(h) = 19*h**3 + 4*h**2 + 25*h + 92. What is p(-3)? -460 Let m(g) = -345*g + 7646. Calculate m(22). 56 Let c(h) = -h**3 + h**2 - 8*h + 20. What is c(6)? -208 Let v(u) = 284*u - 1144. What is v(4)? -8 Let z(l) = 4*l + 193. What is z(-62)? -55 Let d(l) = 222*l**2 - 12*l + 1. Determine d(1). 211 Let t(a) = 9*a - 274. What is t(-13)? -391 Let y(w) = w**3 + 33*w**2 - 72*w - 65. Determine y(-35). 5 Let h(i) = 817*i + 6514. Give h(-8). -22 Let q(o) = -819*o + 4907. Calculate q(6). -7 Let y(j) = 266*j - 7155. Calculate y(27). 27 Let p(l) = l**3 - 25*l**2 + 62*l + 85. Calculate p(22). -3 Let x(s) = s**2 + 80*s - 904. Give x(10). -4 Let j(m) = m**2 + 74*m - 37. Give j(8). 619 Let j(w) = -w**2 + 34*w - 228. Calculate j(30). -108 Let t(z) = -4*z**2 + 23*z + 67. Give t(-5). -148 Let u(w) = -12*w**2 - 68*w + 3. What is u(-4)? 83 Let q(g) = -15*g + 60. What is q(2)? 30 Let h(i) = -3*i**2 - 1287*i + 5189. What is h(4)? -7 Let u(a) = -a**2 - 73*a - 1331. Determine u(-37). 1 Let d(q) = -4*q**3 - 25*q**2 + q + 43. Determine d(-6). 1 Let a(c) = -5*c**2 + 59*c - 57. Calculate a(13). -135 Let q(k) = 14*k + 947. Determine q(-68). -5 Let u(n) = -174*n**3 + 3*n**2 - 5*n - 6. Give u(-1). 176 Let b(s) = -110*s + 312. Determine b(2). 92 Let y(r) = -r**2 - 57*r - 713. Calculate y(-17). -33 Let p(v) = -10*v + 334. Determine p(-39). 724 Let m(s) = 2*s**2 + 180*s + 346. Calculate m(-2). -6 Let o(x) = 10*x**2 + 47*x + 29. Calculate o(-4). 1 Let f(n) = -n**3 + 10*n - 22. Calculate f(2). -10 Let k(s) = 53*s + 599. What is k(-14)? -143 Let x(s) = 4*s**2 + 88. Calculate x(0). 88 Let m(l) = 116*l - 207. Give m(2). 25 Let h(n) = -156*n - 11215. Give h(-73). 173 Let t(s) = -43*s + 373. Determine t(16). -315 Let r(b) = 161*b - 12. Determine r(0). -12 Let n(v) = -30*v**3 - 3*v**2 - 100*v + 104. What is n(1)? -29 Let r(t) = 2*t + 61. Determine r(9). 79 Let v(g) = g**3 + 16*g**2 - 6*g - 114. Calculate v(-16). -18 Let x(n) = 3*n**3 - n**2 - 5*n + 84. Calculate x(0). 84 Let t(c) = -38*c + 4937. Give t(130). -3 Let m(o) = 45*o + 2664. Give m(-59). 9 Let k(o) = 174*o - 8700. Calculate k(50). 0 Let o(h) = -h**2 + 85*h - 1820. Determine o(26). -286 Let a(o) = 5*o**2 - 8*o + 19. Determine a(8). 275 Let d(q) = 2*q**3 + 15*q**2 + 15*q - 9. Calculate d(-6). 9 Let o(l) = 66*l + 6. Calculate o(0). 6 Let b(u) = -3*u**3 + 2*u**2 - 36*u + 139. Give b(4). -1
{ "pile_set_name": "DM Mathematics" }
. Let l = m - 674. What is the least common multiple of l and 10? 160 Let j = 2366 + -14167/6. Find the common denominator of 121/140 and j. 420 Let t = 5639 + -304655/54. Calculate the common denominator of t and 181/60. 540 Let m = -22 - -16. Let u be 5 + m - (2 + -3). What is the common denominator of 2/8*((-256)/15 + u) and -27/11? 165 Suppose 47*b = 53*b - 12. Suppose o + 3 = u - 3, 0 = -b*u - 5*o + 12. Calculate the smallest common multiple of u and 44. 132 Suppose 2*q - 150 = -q. Let l = -9831 + 9836. Calculate the smallest common multiple of l and q. 50 Let s(l) be the third derivative of l**4/6 + 2*l**3/3 - 19*l**2. Let b be s(0). Let h(w) = 11*w - 38. Calculate the lowest common multiple of 30 and h(b). 30 Let v = 3845 + -3332. What is the smallest common multiple of 342 and v? 1026 Suppose 38*y - 29*y - 45 = 0. Suppose y*c = 29*c - 4320. Calculate the lowest common multiple of c and 21. 1260 Let d = 11147/4 + -2810. Suppose 2*k + 5*b + 5414 = 0, 65*b - 63*b = 2*k + 5428. Let l = -8065/3 - k. Find the common denominator of d and l. 12 Let m = 4983847/38220 + -8484/65. Calculate the common denominator of 4/1323 and m. 5292 Let l = 66250 - 5962639/90. Let a = -8459 + 50603/6. Calculate the common denominator of l and a. 90 Suppose y + 3*y - 102 = 3*b, -5*b = 2*y - 64. Let d be (23 + 13)*(-6)/8*-2. Suppose -d*z - 3 = -55*z. Calculate the smallest common multiple of y and z. 27 Let a = 73 + -71. Calculate the common denominator of 20/(-240) - a*-1 and -11/15. 60 Let b = 697/3 - 638/3. Suppose 14*w - 13922 = 9108. Let s = 11492/7 - w. Calculate the common denominator of b and s. 21 Calculate the common denominator of 4 + (-66721)/17290 + 70/(-455) and -37/1330. 1330 Suppose -2*n - 177 + 201 = -5*i, 2*n - 60 = -4*i. Let v(x) = 14*x**3 + 2*x**2 - x. Calculate the least common multiple of n and v(2). 1298 Find the common denominator of -25/633 and (2/24)/((-8)/(-174)*189/252). 2532 Let k(j) = -3*j**2 - 10*j - 13. Let v be k(-8). Let b = v - -71. Let r = b + 55. Calculate the lowest common multiple of 4 and r. 4 Suppose -w = -2*b - 144 - 186, -330 = -w - 2*b. Calculate the smallest common multiple of w and 33. 330 Let s = 252 + -234. Suppose 5*z + 3*i = 70 + 3, -i - 55 = -4*z. What is the smallest common multiple of z and s? 126 Let p = -164341/1287132 + -1/39004. Calculate the common denominator of -67/105 and p. 2310 Let j = -7761 - -7808. What is the lowest common multiple of j and 25? 1175 Let t be ((-13457)/8974)/(-1) + (-30)/20. Let k = t - 183895/161532. What is the common denominator of 31/24 and k? 72 Suppose 3093 = -23*d + 27*d - 5*u, 0 = -4*d - 3*u + 3117. Calculate the smallest common multiple of d and 56. 6216 Let c be 5 + (4 - (-5)/(-5)). Let h = -80909/115976 - -5/4142. Find the common denominator of h and (-770)/21*((-11)/c - -1). 56 What is the common denominator of -23/198 and -6 + 5*3012/(-1080)*(-10)/24? 2376 Let g = -15055/30768 - -13/1282. Find the common denominator of -11/10 and g. 240 Let s(a) be the second derivative of a**3/2 - 3*a**2 + 3*a + 2. Calculate the common denominator of 71/245 and s(9). 245 Let l be -2 + ((-2177)/(-2460) - -4) + 3. Let w be 1*(-794)/(-820) + -1. Let t = l - w. Find the common denominator of t and 57/16. 48 Let w = -4932/1535 - -4/307. Find the common denominator of w and ((-7)/25)/((-20)/50) + -2. 10 Let v(h) = -3 - 2 + 56*h - 1 + 3. Let m be v(18). Let n = 8023/8 - m. Find the common denominator of -97/16 and n. 16 Let m = 120015214/411 - 292008. Find the common denominator of 1/(-3) - (-895)/165 and m. 4521 Let z = -346338481/3942460158 + -2/3236831. Find the common denominator of z and 53/60. 12180 Let j be 2/10 - 3399/(-420). Let g = j - 135/14. What is the common denominator of g and -1 - (430/(-200))/1? 20 Let s = 3533/150 + -346/15. Calculate the common denominator of s and -1/300. 300 Let h = 1/7343 - 227828/1431885. Calculate the common denominator of h and -23/1935. 25155 Suppose -189 = 2*i - 177. Calculate the least common multiple of 21 and ((-2)/i)/(29/9657). 777 Let a be 2/(-10) - (-41)/(-15)*-3. Suppose -9*j - a = 19. Find the common denominator of -67/12 and 149/12*j*(-8)/36. 36 Let h be 217/124 - (-29)/4. Suppose 6*o - 1050 = -h*o. Calculate the smallest common multiple of o and 161. 1610 Suppose -5*z = -28*g + 29*g - 214, -3*g + 775 = -4*z. Calculate the smallest common multiple of 1245 and g. 1245 Let a be (-4)/((-48)/(-239346))*4/24. Let d = a + 3341. Calculate the common denominator of d and 63/80. 80 Calculate the least common multiple of 165 and (-12 + (-2448)/(-119))*154. 1320 Calculate the common denominator of (-7990)/(-840) + 0 + -8 and -46/57. 1596 Let s = 103 - 84. Find the common denominator of s/(-3) + 1 + 3 + -2 and 61/3. 3 Let w(r) = -2*r**3 - 56*r**2 - 16*r - 388. Calculate the lowest common multiple of 60 and w(-28). 60 Suppose -22*b + 237 + 1897 = 0. Calculate the least common multiple of ((-1)/3)/((-6)/90) and b. 485 Let d = 10513597/6 - 1758684. Let k = -6433 - d. Find the common denominator of 89/40 and k. 120 Suppose -2*x + 3*g = 5*g + 24, -4*g + 33 = -5*x. Let h(k) = -106*k**2 + 16*k - 3. Let j be h(3). What is the common denominator of -67/6 and 4 + (j/(-22))/x? 66 Suppose -38328 - 198882 = -6*n. Let w = n - 2925495/74. Calculate the common denominator of w and -73/2. 74 Let d = -123497 + 57055499/462. Calculate the common denominator of 89/84 and d. 924 Let z = -2223351660683/68762100 - -3969/520925. Let a = -32333 - z. What is the common denominator of a and -26/9? 396 Let d(r) = 3*r**3 - 3*r**2 + 14*r - 10. Let b be d(6). Let f = b + -524. Calculate the least common multiple of f and 18. 90 Let l be (-56)/(-12)*(-18)/(-21). Let f(k) = 6 + 35*k - 13*k - 13*k - 8*k. What is the least common multiple of 2 and f(l)? 10 Let a = -189025837145 - -327959908878802/1735. Let u = 46935 - a. Let j = u + 109321/13880. Find the common denominator of j and 47/14. 56 Suppose 3*v + 42 = 3*j, 4*j - 65 = -j + 4*v. Calculate the lowest common multiple of (4 + 175/(-42))/((-4)/12)*72 and j. 36 What is the lowest common multiple of 4 and (((-232)/56 - -5)*-14)/((-1)/23)? 276 Let o be (-12)/120 - 881/(-10). Suppose 3*y - 19 = 29. What is the lowest common multiple of o/5 - ((-14)/10 + 1) and y? 144 Let s be (-560)/180*42612/(-21). Let r = 6305 - s. What is the common denominator of 53/14 and r? 126 Suppose -3*x + 5*x = 36. Calculate the least common multiple of x and (-1191)/(-54) + (-8)/144. 198 Suppose 0 = -14*a + 1599 - 143. Calculate the lowest common multiple of 91 and a. 728 Let k = 52324 + -31575. Let x = k + -249127/12. What is the common denominator of x and (-74)/(-20) + 12/18? 60 Let q be -21*(-2)/3*4/8. Let f(g) = -g**3 + 8*g**2 - 10*g + 33. Calculate the lowest common multiple of 132 and f(q). 132 Let d = 643 - 636. Calculate the common denominator of 43/30 and 663/(-1530) + d/4. 60 Let v = 206/375 - 2/125. Let n = -89/45 + v. Let j = 2143 + -57835/27. Calculate the common denominator of n and j. 27 Let n = 3 + -3. What is the common denominator of (212/(-12))/(2 + n) and (225/(-90))/(2/(-44)*3)? 6 Let o be ((-45)/(-30))/(1/130). Let z = 205 - o. What is the smallest common multiple of z and 5? 10 Suppose -23 = 4*y - 2*f - 73, 0 = -5*y - 2*f + 58. Let m(n) = -n**2 - 6*n - 2. Calculate the least common multiple of y + 1 - (-55 - -46) and m(-4). 66 Let v(f) = -12*f + 85. Suppose -32*g = -23*g - 54. Calculate the smallest common multiple of v(g) and 6. 78 Suppose 64*o + 4 = 68*o, 3*s - 600 = 3*o. What is the least common multiple of s and 469? 1407 Calculate the common denominator of (-53*(1 + (-12)/9))/4 and 139/450. 900 Suppose y - 11769 = -2*y - 3*w, 0 = -4*y - w + 15704. Let n = -117829/30 + y. Find the common denominator of -79/90 and n. 90 Let i = -156190067/360 + 433861. Find the common denominator of i and 83/288. 1440 Suppose 5*n - 370 = -5*g, 31*g - 35*g + 5*n = -278. What is the least common multiple of g and 36? 72 Let j = -2/112973 - 14120689/52871364. What is the common denominator of -64/3 and j? 468 Let v(n) = -7*n**2 + 7*n + 15*n**2 - 7*n**2 + 3. Let w be v(-6). Let p = 27 - w. What is the lowest common multiple of 27 and p? 270 Let k = 93520917/400 - 233802. What is the common denominator of k and 76/1875? 30000 Let n = 1439 + -15859.
{ "pile_set_name": "DM Mathematics" }
286 What is prob of picking 2 c and 1 b when three letters picked without replacement from {b: 3, c: 2, e: 5}? 1/40 Two letters picked without replacement from {x: 3}. Give prob of picking 2 x. 1 Calculate prob of picking 1 c, 1 v, and 1 u when three letters picked without replacement from {v: 1, l: 5, c: 2, u: 1}. 1/42 What is prob of picking 3 e and 1 p when four letters picked without replacement from {e: 3, b: 2, p: 4}? 2/63 What is prob of picking 1 s and 1 c when two letters picked without replacement from {c: 3, y: 1, s: 2, b: 1, a: 5}? 1/11 Calculate prob of picking 1 m, 1 n, 1 x, and 1 r when four letters picked without replacement from {r: 4, e: 4, m: 1, n: 6, x: 1, p: 2}. 2/255 What is prob of picking 3 f and 1 z when four letters picked without replacement from {x: 3, f: 3, z: 6, v: 5}? 3/1190 Calculate prob of picking 1 f and 2 a when three letters picked without replacement from favahhahlhfvlvvvala. 20/969 Two letters picked without replacement from pknnnukuwkaunkkwuuwk. What is prob of picking 2 k? 3/38 Four letters picked without replacement from {e: 3, x: 5, z: 5}. Give prob of picking 1 z and 3 x. 10/143 What is prob of picking 1 a and 1 i when two letters picked without replacement from aaaaaiaaaaaaiaaaiia? 20/57 Calculate prob of picking 3 q when three letters picked without replacement from gqqqgqppg. 1/21 Three letters picked without replacement from rjwwjgqx. Give prob of picking 2 q and 1 r. 0 Calculate prob of picking 1 a and 1 i when two letters picked without replacement from ihhaihchhaaahhhhmii. 16/171 Calculate prob of picking 1 l, 1 o, and 1 c when three letters picked without replacement from {l: 3, y: 3, o: 1, p: 1, i: 5, c: 1}. 3/364 What is prob of picking 3 g and 1 s when four letters picked without replacement from ssggg? 2/5 Calculate prob of picking 1 c, 1 y, and 2 g when four letters picked without replacement from xddgcgydcdox. 2/495 What is prob of picking 2 k and 1 d when three letters picked without replacement from {d: 1, k: 5, z: 1, v: 1, p: 6}? 5/182 Three letters picked without replacement from {x: 4, v: 4, k: 1, e: 10}. What is prob of picking 3 x? 4/969 What is prob of picking 2 b when two letters picked without replacement from xbbbxsx? 1/7 What is prob of picking 4 l when four letters picked without replacement from {e: 2, y: 2, k: 2, l: 1, a: 3, p: 2}? 0 Three letters picked without replacement from dfwni. Give prob of picking 1 i, 1 n, and 1 f. 1/10 Calculate prob of picking 1 y, 1 m, and 1 t when three letters picked without replacement from {y: 2, k: 1, m: 1, a: 1, w: 3, t: 5}. 5/143 Calculate prob of picking 4 b when four letters picked without replacement from {b: 5, d: 7, o: 7}. 5/3876 What is prob of picking 1 h and 1 t when two letters picked without replacement from {t: 1, h: 3}? 1/2 Three letters picked without replacement from {c: 4, w: 1, t: 1, v: 8, y: 3}. Give prob of picking 1 t, 1 c, and 1 v. 4/85 Four letters picked without replacement from meememmmmemmmm. What is prob of picking 4 m? 30/143 Two letters picked without replacement from {v: 1, n: 5, e: 3, y: 4}. Give prob of picking 1 n and 1 y. 10/39 Two letters picked without replacement from {g: 1, k: 2, y: 2, d: 1}. Give prob of picking 1 d and 1 g. 1/15 What is prob of picking 1 j and 1 k when two letters picked without replacement from jkyky? 1/5 Calculate prob of picking 1 j, 1 u, and 1 d when three letters picked without replacement from djjjdujuuuj. 8/33 Two letters picked without replacement from {t: 1, c: 2}. Give prob of picking 1 c and 1 t. 2/3 Four letters picked without replacement from kdddkdkwkkkwdwddkw. What is prob of picking 1 w, 2 d, and 1 k? 49/255 Four letters picked without replacement from {y: 8, r: 1, t: 8}. Give prob of picking 1 t and 3 y. 16/85 Two letters picked without replacement from {m: 2, e: 2, z: 3, g: 8, h: 2, o: 2}. Give prob of picking 1 g and 1 m. 16/171 Three letters picked without replacement from eheeehheeeee. Give prob of picking 1 h and 2 e. 27/55 Calculate prob of picking 3 w and 1 z when four letters picked without replacement from wzwzzzwzzw. 4/35 Three letters picked without replacement from bvvdqddqxxvd. What is prob of picking 1 d, 1 b, and 1 v? 3/55 Two letters picked without replacement from jjc. What is prob of picking 1 c and 1 j? 2/3 Calculate prob of picking 1 k and 1 s when two letters picked without replacement from fikahfs. 1/21 Calculate prob of picking 2 h when two letters picked without replacement from yhvuhhy. 1/7 Four letters picked without replacement from {n: 4, w: 4, r: 6, i: 1}. What is prob of picking 1 r and 3 n? 8/455 What is prob of picking 1 t and 1 v when two letters picked without replacement from wdwvvgwwvwgtgvv? 1/21 Calculate prob of picking 4 z when four letters picked without replacement from bbzbbdzzzaz. 1/66 What is prob of picking 2 g and 1 i when three letters picked without replacement from {u: 2, g: 4, i: 2, m: 2, f: 3}? 6/143 Two letters picked without replacement from akaaaawoaiaaiaaaoaua. Give prob of picking 1 k and 1 o. 1/95 Calculate prob of picking 2 w and 1 h when three letters picked without replacement from ruwrrrrhwuuuuurwu. 3/680 Four letters picked without replacement from {c: 2, a: 2, i: 5, m: 1, s: 4, y: 1}. Give prob of picking 1 s, 1 a, 1 y, and 1 c. 16/1365 Two letters picked without replacement from uukubkuubuuuu. What is prob of picking 1 b and 1 k? 2/39 Four letters picked without replacement from oroorbobrbo. What is prob of picking 3 b and 1 r? 1/110 Four letters picked without replacement from {g: 2, l: 1, o: 3, a: 6, m: 7}. Give prob of picking 1 m and 3 a. 35/969 Two letters picked without replacement from xexe. What is prob of picking 2 x? 1/6 Four letters picked without replacement from nynynnyynnnnnnny. Give prob of picking 4 y. 1/364 What is prob of picking 2 h and 2 t when four letters picked without replacement from {t: 9, h: 9}? 36/85 Three letters picked without replacement from msmssssjmjm. Give prob of picking 3 s. 2/33 Three letters picked without replacement from {h: 2, f: 2, y: 2, c: 1, i: 1, z: 5}. What is prob of picking 1 i, 1 h, and 1 y? 2/143 Two letters picked without replacement from {o: 3, u: 6, a: 5, j: 1, v: 4, g: 1}. What is prob of picking 2 o? 3/190 Three letters picked without replacement from ssjryfuu. Give prob of picking 1 r, 1 u, and 1 s. 1/14 Calculate prob of picking 1 t, 2 y, and 1 i when four letters picked without replacement from eypottyei. 1/63 Three letters picked without replacement from {y: 1, g: 1, f: 2}. What is prob of picking 1 y, 1 g, and 1 f? 1/2 Calculate prob of picking 2 s when two letters picked without replacement from {p: 9, s: 3}. 1/22 Two letters picked without replacement from aaag. What is prob of picking 2 a? 1/2 Calculate prob of picking 1 l and 3 u when four letters picked without replacement from dxllududuud. 4/165 What is prob of picking 1 o and 3 b when four letters picked without replacement from {h: 2, b: 7, o: 4, e: 4, g: 1}? 7/153 Calculate prob of picking 2 h and 2 j when four letters picked without replacement from {h: 2, f: 1, l: 1, j: 2}. 1/15 Two letters picked without replacement from cecscoecccccs. What is prob of picking 1 e and 1 s? 2/39 Two letters picked without replacement from ebm. Give prob of picking 1 m and 1 e. 1/3 Two letters picked without replacement from {g: 3, l: 1, d: 1, z: 11, m: 3}. What is prob of picking 1 d and 1 z? 11/171 Four letters picked without replacement from {x: 17, w: 3}. Give prob of picking 3 w and 1 x. 1/285 Calculate prob of picking 1 k, 1 n, and 1 v when three letters picked without replacement from nuvclnuk. 1/28 Two letters picked without replacement from {j: 2, o: 1, v: 1, x: 1, n: 13, b: 2}. What is prob of picking 1 o and 1 n? 13/190 Two letters picked without replacement from {h: 2, t: 1, z: 2, a: 1, w: 4, p: 2}. Give prob of picking 1 w and 1 a. 2/33 Two letters picked without replacement from mmzazwc. Give prob of picking 1 a and 1 z. 2/21 Calculate prob of picking 2 e, 1 f, and 1 v when four letters picked without replacement from efrerefeeev. 1/11 Two letters picked without replacement from bvkbkkukvkku. Give prob of picking 1 k and 1 v. 2/11 Two letters picked without replacement from {k: 2,
{ "pile_set_name": "DM Mathematics" }
- 4*f + 14 = -0*l. Find the first derivative of -r + 5*t - 7*t + 15*t + l*t wrt t. 19 Let u be (-2 - -1) + 3 + -6. Let t be (8/36)/(u/(-36)). Find the third derivative of 8*w**2 - 16*w**4 - 21*w**2 + t*w**4 wrt w. -336*w Let d(a) be the second derivative of -401*a**5/10 + 1067*a**2/2 + 1855*a. Find the first derivative of d(g) wrt g. -2406*g**2 Let k(r) be the first derivative of 171 - 26*r + 42*r + 28*r**2 - 41*r + 10*r**2. Differentiate k(u) wrt u. 76 Let k(u) = 210*u**2 - 458. Let y(b) = -70*b**2 + 153. Let l be -21 - (-1 + (24/(-6))/1). Let x(i) = l*y(i) - 5*k(i). Find the first derivative of x(m) wrt m. 140*m Let g(u) = -2*u**3 + u - 13. Let z(s) = -1311*s**3 + s**2 + 6074*s - 65. Let i(c) = 5*g(c) - z(c). What is the second derivative of i(y) wrt y? 7806*y - 2 Let z be -2 + (1 + -1 - (52 + 11)/(-9)). Let u be -33*(0 - (-4)/(-6)). What is the second derivative of -20*x + u*x**z + 183*x**2 - 183*x**2 wrt x? 440*x**3 Let i(m) be the first derivative of -16/7*m**7 + 0*m**2 + 0*m**6 + 43 - 98/3*m**3 + 0*m**4 + 0*m**5 + 0*m. Find the third derivative of i(d) wrt d. -1920*d**3 Let z(w) be the second derivative of 331*w**5/2 - 4*w**4/3 + w**3/2 - w**2/2 - 7*w + 89. Find the third derivative of z(p) wrt p. 19860 Let j(x) be the second derivative of -1/20*x**5 + 9 + 0*x**2 + 0*x**3 + 26/3*x**4 - 2*x - 2/15*x**6. Find the third derivative of j(r) wrt r. -96*r - 6 Let h be (-103)/(-4) + 4*(-6)/(-96). Suppose -6*b + 38 - h = 0. What is the second derivative of -364*w + 5*w**4 + 395*w + b*w**3 - 2*w**3 wrt w? 60*w**2 Let b(c) be the second derivative of 841*c**5/10 - 5*c**4/12 - 43*c**3/6 - c**2 + 2163*c. Find the third derivative of b(q) wrt q. 10092 Suppose 12*b + 668 = -340. Let y = 110 + b. Find the first derivative of 2*f - y + 4*f + 5*f + 0*f wrt f. 11 Let d(r) = -3*r + 18. Let l be d(6). Suppose l = 2*s - o - 0 - 9, -30 = -3*s - 4*o. What is the first derivative of s*h**2 - 22 - 48*h**2 - 9 wrt h? -84*h Suppose 9*w - 10*w = 0. Suppose 0 = -5*j - 4*t - 10, 2*j = -w*t + 4*t + 24. What is the third derivative of -2*k**j + 25*k**3 + 15*k**2 + 0*k**3 - 4*k**3 wrt k? 126 Let l(c) = -63*c**3 - 1856*c**2 - 4*c - 8. Let q(t) = 125*t**3 + 3712*t**2 + 7*t + 14. Let j(y) = -7*l(y) - 4*q(y). What is the third derivative of j(n) wrt n? -354 Let d = 193 - 189. Find the third derivative of -12*y**4 + 6*y**4 - 36*y**2 - 20*y**d + 86*y**2 wrt y. -624*y Let r(z) be the first derivative of -3*z**2/2 - 12*z + 12. Let a be r(-9). Differentiate -5*d + a*d**3 + 14 + d + 4*d with respect to d. 45*d**2 What is the third derivative of 22582*q**5 + 32174*q**5 - 44631*q**5 + 11 - 5*q + 11*q**2 wrt q? 607500*q**2 Let q(n) = 2657*n**2 - 10*n + 2259. Let c(j) = 1329*j**2 - 6*j + 1132. Let x(w) = -5*c(w) + 3*q(w). What is the first derivative of x(a) wrt a? 2652*a Let q = -1 + 5. Suppose -2*b = 4*m, -605*m + 610*m = -5*b - 15. What is the second derivative of -23*g**5 - m*g + q*g**5 - 10*g - 9*g**5 wrt g? -560*g**3 Let b be (-2)/2 + 7 + -4. Let q(f) = 124*f**3 + 3*f**2 - 39. Let k(p) = 62*p**3 + p**2 - 20. Let g(a) = b*q(a) - 5*k(a). Differentiate g(r) with respect to r. -186*r**2 + 2*r Differentiate 1412*d**4 - 5498 - 2*d**3 + 2*d**3 - 686*d**4 + 7*d - d**2 - 690*d**4 with respect to d. 144*d**3 - 2*d + 7 Let g(b) = -60*b**3 - 11*b**2 - 1704*b + 18. Let i(u) = -15*u**3 - 3*u**2 - 425*u + 4. Let q(o) = -2*g(o) + 9*i(o). What is the second derivative of q(f) wrt f? -90*f - 10 Let o be (9/(-24)*-2)/(42/112). Differentiate 30 + 2*h**o - 24 - 41 - 57*h with respect to h. 4*h - 57 Let v(k) = -k + 17. Let z be v(12). Suppose -y = -4*j - 2*y + 20749, -z = -y. What is the third derivative of -2*t**6 + 5193*t**2 - j*t**2 - 33*t**6 wrt t? -4200*t**3 Let d(g) be the first derivative of 247 - 2*g - 5/2*g**2 - 1/3*g**3 + 77/5*g**5 + 0*g**4. What is the second derivative of d(l) wrt l? 924*l**2 - 2 Let w(c) = 7*c + 6. Let y(s) = -3160*s - 3386. Let d(h) = 3*w(h) - y(h). What is the first derivative of d(z) wrt z? 3181 Let n(i) = -46341*i + 31222. Let g(x) = 18539*x - 12489. Let p(b) = -12*g(b) - 5*n(b). What is the first derivative of p(o) wrt o? 9237 Let x = -109 + 153. Find the third derivative of -29*p**2 - 34*p**2 + 62*p**2 + x*p**5 - 31*p wrt p. 2640*p**2 Suppose 26 + 96 = 61*g. Find the third derivative of -192*p**4 + 889*p**g - 530*p**2 - 34*p**2 wrt p. -4608*p Let f(v) be the first derivative of 2*v + 13/2*v**2 - 23 - 160/3*v**3. What is the second derivative of f(w) wrt w? -320 What is the third derivative of -174*t**2 + 480*t**5 - t**3 + 0*t**3 + t - 249*t**2 + t**3 wrt t? 28800*t**2 Let f(g) be the third derivative of 2295*g**4/4 - 1001*g**3/3 + 69*g**2. Differentiate f(h) with respect to h. 13770 Let a(g) be the first derivative of -7*g**6/2 - 45*g**4/2 - 1486*g**2 - 688. Find the second derivative of a(t) wrt t. -420*t**3 - 540*t Find the first derivative of 352*o - 792 + 244*o + 28*o - 3749 wrt o. 624 Let o(c) = -341*c - 121. Let g(m) = 640*m + 242. Let f(z) = 3*g(z) + 7*o(z). What is the first derivative of f(t) wrt t? -467 Find the second derivative of 620*s**3 - 1371*s - 3635*s**3 + 1208*s**3 + 1106*s**3 wrt s. -4206*s Let o be 14/3 - (-14)/(-21). Suppose -5*v - 1 = -3*n + 31, 4*n - o*v - 32 = 0. Find the third derivative of -1301*s - 46*s**n + 1301*s + 38*s**2 wrt s. -1104*s What is the first derivative of -4*x**2 - 1062 + 4*x**3 - 748 - 7*x**3 wrt x? -9*x**2 - 8*x Let g be -1*5*6/15 - -1. Let f be 390/75 + g/5. What is the third derivative of -24*c**2 + 4*c**5 - 6*c**5 - 3*c**f + 8*c**2 wrt c? -300*c**2 Let l be 24*((-16)/(-6))/2. Let q(y) = 36 - 36 + l*y. Let b(i) = -i + 1. Let r(j) = 16*b(j) + q(j). Differentiate r(h) wrt h. 16 Let r = -132 + 138. What is the second derivative of 10*m - 21*m**4 - r*m**2 - 56*m + 11*m**4 + 1 wrt m? -120*m**2 - 12 Suppose 2*j = x + 474, x - 61 = -j + 173. Find the second derivative of j*w - 185*w**5 + 82871*w**2 - 82871*w**2 wrt w. -3700*w**3 Let i(f) be the third derivative of 197*f**6/60 - 465*f**3/2 - 306*f**2. Differentiate i(u) with respect to u. 1182*u**2 What is the derivative of -249*l**3 - 5102 - 468*l**3 + 8615 - 4167 wrt l? -2151*l**2 Let i = -346 + 346. Let d(q) be the second derivative of i*q**2 + 0 + 5/6*q**3 + q + 11/12*q**4. What is the second derivative of d(b) wrt b? 22 Let s(l) be the first derivative of -45*l - 49 - 1/3*l**3 - 49/2*l**2. Find the first derivative of s(z) wrt z. -2*z - 49 Let v(b) be the second derivative of -279*b**6/2 - 1384*b**2 + 84*b. Differentiate v(y) wrt y. -16740*y**3 Let y(q) = 130*q**3 + 2*q**2 - 116*q + 5. Let k(n) = 4*n**3 + n**2 - 2*n + 1. Let x(t) = 5*k(t) - y(t). Find the second derivative of x(r) wrt r. -660*r + 6 Let n be 3/(-54)*74*618/(-412). Let b(p) be the second derivative of n*p**3 + 0 - 18*p**2 + 30*p. What is the derivative of b(t) wrt t? 37 Let l = -75 - -81. Find the third derivative of -50*y**2 + 0*y**l + 29*y**2 - 7*y**6 + y**5 wrt y. -840*y**3 + 60*y**2 Let k(w) = 1917*w + 1013. Let l(z) = -24*z - 1. Let b(n) = k(n) + 4*l(n). What is the derivative of b(t) wrt t? 1821 Let q(x) = 5. Let f(w) be the second derivative of -25*w**3/6 + 47*w**2/2 + 2*w - 5. Let z(o) = 2*f(o) + 2*q(o). What is the first derivative of z(i) wrt i? -50 Let d be (-3)/2*132/(-54)*6. What is the second derivative of -63*t - 75*t + 86*t**3 + d*t wrt t? 516*t What is the second derivative of -63*g - 67*g - 8*g - 17 + 1816*g**2 + 22 wrt g? 3632 Let x(r) = 3305*r**2 - 690*r. Let g(b) = -1649*b**2 + 344*b. Let d(s) = -13*g(s) - 6*x(s). What is the second derivative of d(n) wrt n? 3214 Suppose -3*p - 68 = 244. Let a = p - -138. What is the derivative of 5 - a*g + 0 + 2 + 38 wrt g? -34 Let n(a) be the second derivative of -331*a**6/15 - 223*a**3/2 + 821*a. Find the second derivative of n(r) wrt r. -7944*r**2 Find the first derivative of -9*b - 1686 + 29*b**4 - 2*b**3 - 6*b**4 - 26*b**4 - 2143 wrt b. -12*b**3 - 6*b**2 - 9 Let g(f) be the second derivative of -1461*f**8/8 + 5*f**4/12 + 2*f**3/3 + 5*f**2 - 11446*f. Find the third derivative of g(r) wrt r. -1227240*r**3 Let d(s) = -605*s**2 - 8603. Let o(y) = 600*y**2 + 8593. Let k(f) = 4*d(f) + 3*o(f). What is the first derivative of k(t) wrt t? -1240*t Let b(k) = 4*k - 12 + 4 + 18. Let a be b(-2). What is the derivative of -22 + 10*p**a + 15 - 11 - 7*p**2
{ "pile_set_name": "DM Mathematics" }
s the highest common divisor of 7 and 1757? 7 What is the greatest common divisor of 636 and 948? 12 What is the greatest common factor of 824 and 200? 8 Calculate the greatest common factor of 759 and 69. 69 What is the greatest common divisor of 552 and 46? 46 Calculate the highest common factor of 37786 and 42. 14 What is the highest common factor of 1932 and 23? 23 Calculate the highest common divisor of 67 and 536. 67 Calculate the highest common factor of 590 and 59. 59 Calculate the highest common factor of 3569 and 129. 43 What is the greatest common divisor of 39 and 9191? 13 What is the greatest common factor of 112 and 2128? 112 What is the greatest common factor of 4 and 2510? 2 Calculate the greatest common divisor of 615 and 24231. 123 Calculate the highest common factor of 1807 and 13. 13 Calculate the highest common factor of 2728 and 341. 341 What is the greatest common factor of 19 and 22819? 19 What is the greatest common divisor of 4224 and 33? 33 Calculate the highest common divisor of 501 and 3. 3 Calculate the highest common divisor of 4 and 4442. 2 Calculate the greatest common factor of 572 and 110. 22 What is the greatest common divisor of 427 and 56? 7 Calculate the highest common factor of 319 and 87. 29 What is the highest common factor of 18 and 138? 6 What is the greatest common factor of 121 and 22? 11 What is the greatest common divisor of 65 and 26? 13 Calculate the highest common factor of 4 and 38. 2 What is the highest common divisor of 168 and 63? 21 What is the highest common factor of 323 and 153? 17 What is the highest common divisor of 2976 and 403? 31 Calculate the greatest common factor of 70 and 238. 14 What is the greatest common factor of 588 and 7? 7 Calculate the greatest common divisor of 5239 and 124. 31 What is the greatest common divisor of 153 and 477? 9 What is the highest common divisor of 159 and 1961? 53 Calculate the highest common divisor of 2 and 162. 2 Calculate the highest common divisor of 225 and 200. 25 Calculate the greatest common factor of 23 and 184. 23 What is the highest common factor of 192 and 448? 64 What is the greatest common divisor of 266 and 152? 38 Calculate the greatest common factor of 186 and 837. 93 What is the greatest common factor of 1243 and 33? 11 What is the highest common factor of 189 and 837? 27 What is the highest common factor of 42 and 357? 21 Calculate the greatest common factor of 3900 and 1092. 156 What is the greatest common factor of 1175 and 423? 47 What is the highest common divisor of 81 and 54? 27 What is the highest common factor of 72 and 84? 12 Calculate the greatest common factor of 515 and 5. 5 Calculate the greatest common factor of 209 and 57. 19 Calculate the greatest common divisor of 289 and 68. 17 What is the greatest common factor of 138 and 3726? 138 What is the highest common divisor of 23 and 391? 23 Calculate the greatest common factor of 151 and 2567. 151 What is the greatest common factor of 140 and 360? 20 What is the highest common divisor of 13 and 169? 13 What is the highest common divisor of 24 and 56? 8 Calculate the greatest common factor of 48 and 1146. 6 What is the greatest common factor of 4 and 1614? 2 What is the highest common divisor of 282 and 1222? 94 Calculate the highest common divisor of 22999 and 109. 109 Calculate the highest common divisor of 9271 and 127. 127 What is the greatest common divisor of 63 and 6804? 63 What is the highest common factor of 646 and 34? 34 Calculate the greatest common divisor of 5985 and 60. 15 Calculate the highest common divisor of 18 and 2844. 18 Calculate the greatest common divisor of 1197 and 57. 57 What is the greatest common divisor of 113 and 16837? 113 Calculate the highest common factor of 32 and 1744. 16 What is the greatest common factor of 253 and 11? 11 What is the highest common divisor of 2 and 491? 1 Calculate the highest common divisor of 1539 and 81. 81 What is the greatest common divisor of 792 and 9? 9 What is the greatest common factor of 7070 and 70? 70 What is the highest common divisor of 1886 and 46? 46 What is the greatest common factor of 357 and 51? 51 Calculate the greatest common divisor of 1131 and 6351. 87 What is the greatest common divisor of 275 and 22? 11 Calculate the greatest common factor of 14 and 2338. 14 Calculate the highest common divisor of 511 and 7. 7 Calculate the greatest common factor of 54 and 2322. 54 Calculate the greatest common divisor of 196 and 2450. 98 What is the highest common factor of 101 and 1? 1 What is the greatest common factor of 18 and 72? 18 What is the highest common divisor of 252 and 3843? 63 Calculate the highest common divisor of 20 and 3340. 20 What is the highest common divisor of 3582 and 108? 18 What is the greatest common factor of 384 and 56? 8 Calculate the greatest common divisor of 42 and 483. 21 What is the greatest common factor of 1278 and 18? 18 What is the highest common divisor of 180 and 640? 20 Calculate the highest common factor of 26 and 988. 26 What is the greatest common divisor of 11 and 99? 11 Calculate the greatest common factor of 336 and 528. 48 Calculate the highest common factor of 32 and 3840. 32 Calculate the highest common factor of 48 and 948. 12 Calculate the greatest common factor of 192 and 156. 12 What is the highest common divisor of 3591 and 297? 27 What is the greatest common factor of 185 and 629? 37 Calculate the highest common divisor of 50 and 180. 10 Calculate the highest common divisor of 12 and 37884. 12 What is the greatest common factor of 22 and 110? 22 Calculate the greatest common divisor of 710 and 20. 10 What is the greatest common divisor of 726 and 352? 22 Calculate the greatest common factor of 266 and 38. 38 Calculate the highest common factor of 826 and 14. 14 What is the highest common factor of 72 and 18? 18 Calculate the greatest common divisor of 22 and 23. 1 Calculate the highest common divisor of 21 and 434. 7 What is the highest common divisor of 1519 and 124? 31 What is the highest common factor of 655 and 7598? 131 What is the greatest common factor of 13 and 689? 13 Calculate the greatest common divisor of 73 and 584. 73 Calculate the greatest common factor of 144 and 128. 16 What is the greatest common factor of 8 and 27044? 4 What is the highest common divisor of 4810 and 130? 130 What is the greatest common divisor of 165 and 15? 15 Calculate the highest common divisor of 1414 and 231. 7 What is the highest common factor of 407 and 111? 37 Calculate the highest common divisor of 282 and 705. 141 What is the highest common factor of 2001 and 261? 87 What is the greatest common divisor of 700 and 196? 28 What is the greatest common divisor of 868 and 28? 28 What is the highest common divisor of 22236 and 153? 51 What is the highest common factor of 11 and 44143? 11 What is the highest common divisor of 37 and 1184? 37 Calculate the greatest common divisor of 104 and 13. 13 Calculate the greatest common divisor of 43 and 22532. 43 What is the greatest common divisor of 25 and 325? 25 Calculate the highest common divisor of 5043 and 369. 123 Calculate the highest common factor of 58864 and 8. 8 Calculate the greatest common divisor of 44 and 176. 44 What is the highest common factor of 395 and 237? 79 Calculate the greatest common divisor of 128 and 8. 8 What is the greatest common factor of 48683 and 89? 89 What is the greatest common divisor of 136 and 884? 68 Calculate the greatest common divisor of 20 and 220. 20 What is the greatest common divisor of 13 and 4615? 13 Calculate the greatest common factor of 126 and 2730. 42 Calculate the highest common factor of 5 and 1315. 5 What is the greatest common divisor of 57495 and 15? 15 What is the greatest common divisor of 7 and 119? 7 Calculate the greatest common factor of 296 and 481. 37 What is the highest common divisor of 23432 and 464? 232 Calculate the highest common divisor of 560 and 1360. 80 Calculate the greatest common divisor of 1494 and 117. 9 Calculate the highest common divisor of 24425 and 100. 25 Calculate the greatest common divisor of 71 and 1. 1 Calculate the highest common factor of 62 and 124. 62 Calculate the highest common divisor of 3 and 96. 3 What is
{ "pile_set_name": "DM Mathematics" }
of 629550098, 629550099, 629550100, 629550101, 629550102? o + 629550097 What is the b'th term of -2067, -5364, -10817, -18390, -28047, -39752? 6*b**3 - 1114*b**2 + 3*b - 962 What is the s'th term of -21658, -43065, -64472, -85879? -21407*s - 251 What is the q'th term of -6897, -13614, -20335, -27060, -33789, -40522, -47259? -2*q**2 - 6711*q - 184 What is the c'th term of 45436, 45442, 45454, 45472, 45496, 45526, 45562? 3*c**2 - 3*c + 45436 What is the h'th term of -121818225, -243636449, -365454673, -487272897, -609091121? -121818224*h - 1 What is the l'th term of -3323, -13696, -30855, -54794, -85507? l**3 - 3399*l**2 - 183*l + 258 What is the x'th term of 1559171, 1559212, 1559253? 41*x + 1559130 What is the k'th term of 14025, 15045, 16063, 17079? -k**2 + 1023*k + 13003 What is the j'th term of -14380998, -14380975, -14380952, -14380929, -14380906, -14380883? 23*j - 14381021 What is the t'th term of 25262, 25832, 26378, 26894, 27374, 27812? -t**3 - 6*t**2 + 595*t + 24674 What is the m'th term of 83456, 83495, 83562, 83657, 83780? 14*m**2 - 3*m + 83445 What is the l'th term of -36, 115, 402, 819, 1360, 2019, 2790? -l**3 + 74*l**2 - 64*l - 45 What is the g'th term of 101, 1805, 6435, 15455, 30329? 244*g**3 - g**2 - g - 141 What is the q'th term of 7728, 24173, 49380, 83355, 126104? q**3 + 4375*q**2 + 3313*q + 39 What is the m'th term of 370, 1161, 1928, 2683, 3438, 4205? 2*m**3 - 24*m**2 + 849*m - 457 What is the n'th term of -304, -1048, -3060, -6970, -13408, -23004? -105*n**3 - 4*n**2 + 3*n - 198 What is the b'th term of 3583, 7171, 10759, 14347? 3588*b - 5 What is the p'th term of -1096102, -1096115, -1096128? -13*p - 1096089 What is the z'th term of 258925, 258915, 258883, 258823, 258729, 258595, 258415? -z**3 - 5*z**2 + 12*z + 258919 What is the t'th term of -11926, -23859, -35796, -47737, -59682, -71631, -83584? -2*t**2 - 11927*t + 3 What is the c'th term of -39120, -39125, -39124, -39111, -39080, -39025, -38940? c**3 - 3*c**2 - 3*c - 39115 What is the p'th term of -26095, -105230, -237409, -422632? -26522*p**2 + 431*p - 4 What is the h'th term of 6516234, 6516233, 6516232, 6516231, 6516230, 6516229? -h + 6516235 What is the t'th term of -6633, -13791, -20951, -28113? -t**2 - 7155*t + 523 What is the t'th term of 315057, 630119, 945183, 1260249? t**2 + 315059*t - 3 What is the k'th term of 11361, 45499, 102387, 182019, 284389, 409491? -k**3 + 11381*k**2 + 2*k - 21 What is the v'th term of 8483, 8470, 8465, 8474, 8503, 8558, 8645, 8770? v**3 - 2*v**2 - 14*v + 8498 What is the y'th term of -55813, -44312, -32811, -21310, -9809, 1692? 11501*y - 67314 What is the g'th term of 5173, 5031, 4891, 4753, 4617? g**2 - 145*g + 5317 What is the h'th term of -753695552, -753695553, -753695556, -753695561, -753695568, -753695577? -h**2 + 2*h - 753695553 What is the s'th term of -89653, -89624, -89595? 29*s - 89682 What is the s'th term of -5253, -11167, -17743, -24981, -32881? -331*s**2 - 4921*s - 1 What is the p'th term of 139547722, 139547721, 139547730, 139547755, 139547802? p**3 - p**2 - 5*p + 139547727 What is the m'th term of -18591229, -37182460, -55773689, -74364916, -92956141? m**2 - 18591234*m + 4 What is the x'th term of -48, -322, -1046, -2442, -4732, -8138, -12882? -37*x**3 - 3*x**2 - 6*x - 2 What is the y'th term of 43206963, 86413949, 129620935? 43206986*y - 23 What is the n'th term of 2707, 2956, 3235, 3544, 3883, 4252? 15*n**2 + 204*n + 2488 What is the q'th term of -1401582, -1401620, -1401658, -1401696, -1401734, -1401772? -38*q - 1401544 What is the p'th term of 123949, 495671, 1115179, 1982473, 3097553, 4460419? 123893*p**2 + 43*p + 13 What is the u'th term of -6406643, -12813282, -19219921? -6406639*u - 4 What is the h'th term of 2988987, 2989003, 2989019? 16*h + 2988971 What is the l'th term of -8815, -33584, -74335, -131074, -203807, -292540, -397279? -l**3 - 7985*l**2 - 807*l - 22 What is the r'th term of 3926, 31723, 107188, 254159, 496474, 857971, 1362488? 3973*r**3 - 4*r**2 - 2*r - 41 What is the j'th term of -209043, -418092, -627141, -836190, -1045239, -1254288? -209049*j + 6 What is the f'th term of 925583, 925584, 925585, 925586, 925587, 925588? f + 925582 What is the x'th term of 1339, 4332, 8977, 15274, 23223? 826*x**2 + 515*x - 2 What is the g'th term of 48737, 195042, 438917, 780362, 1219377? 48785*g**2 - 50*g + 2 What is the w'th term of -751, -816, -1031, -1480, -2247, -3416, -5071, -7296? -14*w**3 + 9*w**2 + 6*w - 752 What is the x'th term of -499932, -499603, -499274? 329*x - 500261 What is the m'th term of 899204, 1798407, 2697610, 3596813? 899203*m + 1 What is the f'th term of 61369, 61380, 61391, 61402, 61413? 11*f + 61358 What is the x'th term of -6762, -27034, -60830, -108150, -168994? -6762*x**2 + 14*x - 14 What is the i'th term of 1847523, 3695145, 5542767? 1847622*i - 99 What is the f'th term of 868, 840, 800, 754, 708, 668, 640, 630? f**3 - 12*f**2 + f + 878 What is the z'th term of -1928239, -1928234, -1928219, -1928194, -1928159? 5*z**2 - 10*z - 1928234 What is the a'th term of -26921, -27763, -28609, -29459, -30313? -2*a**2 - 836*a - 26083 What is the t'th term of 335604, 1342413, 3020428, 5369649, 8390076, 12081709, 16444548? 335603*t**2 + 1 What is the o'th term of 119569588, 239139174, 358708760, 478278346, 597847932, 717417518? 119569586*o + 2 What is the o'th term of 4559805, 4559801, 4559793, 4559781? -2*o**2 + 2*o + 4559805 What is the n'th term of 11639, 12043, 12447? 404*n + 11235 What is the n'th term of -52906715, -105813428, -158720141? -52906713*n - 2 What is the z'th term of 2614, 4537, 6460? 1923*z + 691 What is the d'th term of -1640, 495, 6284, 17551, 36120, 63815, 102460? 304*d**3 + 3*d**2 - 2*d - 1945 What is the v'th term of 27819121, 27819122, 27819123, 27819124, 27819125? v + 27819120 What is the c'th term of -99059, -189384, -279711, -370040? -c**2 - 90322*c - 8736 What is the s'th term of 5126, 6142, 7168, 8204? 5*s**2 + 1001*s + 4120 What is the a'th term of 362787797, 362787796, 362787795, 362787794, 362787793, 362787792? -a + 362787798 What is the l'th term of -19233302, -19233300, -19233298, -19233296? 2*l - 19233304 What is the x'th term of -37363, -37336, -37301, -37258? 4*x**2 + 15*x - 37382 What is the c'th term of 176, 1111, 3296, 7241, 13456, 22451, 34736, 50821? 85*c**3 + 115*c**2 - 5*c - 19 What is the u'th term of 2342, 2512, 2800, 3206? 59*u**2 - 7*u + 2290 What is the t'th term of -6675, -5310, -3945, -2580, -1215, 150? 1365*t - 8040 What is the q'th term of -2231, -4241, -6237, -8213, -10163, -12081? q**3 + q**2 - 2020*q - 213 What is the k'th term of -3630, -29240, -98754, -234126, -457310, -790260, -1254930, -1873274? -3659*k**3 + 2*k**2 - 3*k + 30 What is the o'th term of -435, -1751, -3913, -6897, -10679? 4*o**3 - 447*o**2 - 3*o + 11 What is the c'th term of 2199448, 2199445, 2199442, 2199439? -3*c + 2199451 What is the d'th term of 167855, 167495, 167135, 166775, 166415, 166055? -360*d + 168215 What is the s'th term of 11166925, 22333859, 33500793, 44667727, 55834661, 67001595? 11166934*s - 9 What is the d'th term of -57278561, -114557122, -171835683? -57278561*d What is the u'th term of -805, -1783, -2945, -4291, -5821, -7535, -9433? -92*u**2 - 702*u - 11 What is the x'th term of 849943, 1699833, 2549695, 3399529, 4249335? -14*x**2 + 849932*x + 25 What is the n'th term of -4436, -4291, -4090, -3833, -3520, -3151, -2726? 28*n**2 + 61*n - 4525 What is the r'th term of -16828502, -16828503, -16828504, -16828505, -16828506? -r - 16828501 What is the h'th term of 482091, 482080, 482091, 482136, 482227, 482376? 2*h**3 - h**2 - 22*h + 482112 What is the x'th term of -56515, -114067, -171619? -57552*x + 1037 What is the z'th term of -179, -1203, -3987, -9413, -18363, -31719, -50363? -147*z**3 + 2*z**2 - z - 33 What is the p'th term of -849959, -1700042, -2550125, -3400208, -4250291? -850083*p + 124 What is the r'th term of 21083943, 42167888, 63251833, 84335778, 105419723? 21083945*r - 2 What is the k'th term of -2400850, -4801706, -7202568, -9603436, -12004310, -14405190, -16806076? -3*k**2 - 2400847*k What is the p'th term of -3722, -7223, -10732, -14249, -17774, -21307? -4*p**2 - 3489*p - 229 What is the j'th term of -579040, -578069, -577098? 971*j - 5
{ "pile_set_name": "DM Mathematics" }
4. Solve 5*o - 9 = -h for o. 1 Suppose -3*x = -2*t + 1, 0*t + x + 7 = 4*t. Solve 0 - 6 = t*j for j. -3 Let j(g) = -g**2 + g + 2. Let c be j(-3). Let t be (-1)/(2 - 18/10). Let h = t - c. Solve -a - h = -4 for a. -1 Let n(x) = -x**3 - 5*x**2 - 7*x - 6. Let s be n(-4). Suppose -9*m - 42 + 123 = 0. Suppose -2*i + m = 3. Solve -s*t - 9 = -i*t for t. -3 Let h(o) = -37*o - 4. Let y be h(-2). Let v be y/22 - 6/33. Solve -v*f - f = 16 for f. -4 Suppose 17*x - 15*x - 148 = 0. Suppose 0 = -5*r + n + x, 2*n + 20 = -4*r + 82. Let k(t) = t - 14. Let s be k(r). Solve -p - s - 2 = 0 for p. -3 Let a = -8219 + 8222. Let x be 2/2*4 + 0. Let t(i) = -2*i**3 - i. Let q be t(-1). Solve -x*p + q*p = a for p. -3 Let l be 342/36 + 2/4. Let r = 23 - 20. Solve l = 2*m + r*m for m. 2 Suppose u + 14 = 18. Let n(a) = 5*a - 45. Let d be n(10). Solve -11 = -u*m + d for m. 4 Let d(m) = 2*m**3 + 7*m**2 - 2*m + 5. Let p(b) = -5*b**3 - 20*b**2 + 7*b - 14. Let c(o) = -8*d(o) - 3*p(o). Let x be c(2). Solve 3*g - 3 + 12 = x for g. -3 Let c(l) be the second derivative of 17*l**3/6 + 3*l**2/2 - 11*l. Let z be c(-2). Let j = 34 + z. Solve -j*o = 2*o for o. 0 Let a = -1717 - -1728. Solve -7*q = a*q + 54 for q. -3 Let b = -238 + 244. Solve 2*d + b + 2 = 0 for d. -4 Let k(w) = w. Let z be k(2). Suppose -z*g - 12 = -6*g. Suppose 0 = x - 2 - 3. Solve -g*f - x - 7 = 0 for f. -4 Let o = 24 + -32. Let r be (-2 + 1)*-7 + 1. Let b = r + o. Solve w + b = -3 for w. -3 Let d = 250 + -155. Let j = d + -86. Solve -j*u + 8*u + 3 = 0 for u. 3 Let p = 68 - 16. Let s be 9*p/(-39)*(-2)/12. Solve 0*k = s*k for k. 0 Suppose -4*c = -34 + 2. Solve -3*o + o = -c for o. 4 Suppose 0 = -4*n + 18*n - 70. Suppose 0*u - u = 0. Let d = u - -4. Solve 0 = -d*o - n + 25 for o. 5 Let k be -3 - 8/12*-6. Let r be k/6 - 69/(-18). Solve l = -r*l + 25 for l. 5 Let f(k) = k**3 + 4*k**2 - 2*k - 6. Let p be f(-4). Suppose 34 = 5*y + 109. Let o = y + 16. Solve p*b = 3 + o for b. 2 Let d(w) be the first derivative of 3*w**2/2 + 23*w - 7. Let r be d(-6). Suppose -2*c = 8, -3*c = -4*h + c + 16. Solve j + r = -h for j. -5 Let g(q) = -q**3 - 5*q**2 + 19*q + 78. Let v be g(-6). Solve v*s = 5*s + 15 for s. -3 Suppose 0 = 4*j + 5*y - 23, 0 = 5*j - 3*y - 1. Suppose -11*q + 16*q = -5*i + 10, -2*q + 4 = 5*i. Solve i = 3*l - j*l for l. 0 Let a = 380 - 376. Let y be (-17)/(-4) + 2/(-8). Solve -12 = -y*p - a for p. 2 Suppose -12 = o - 7*o. Suppose -o*c - u + 1 = 0, -2*c + u + 1 = -2. Let j be -2 - (3 - (12 - 3)). Solve -a = c - j for a. 3 Suppose -3*u = -4*d + 41, 2*u + 25 = 3*d - 5. Let q be (-1 + 4)*(1 - 0). Solve d = q*w - w for w. 4 Let f = -36 + 22. Let i = 21 + f. Let d = -7 + i. Solve d = -r + 2*r for r. 0 Let w be 37/3 - 14/(-21). Let y = w - 9. Solve y*b + 6 + 2 = 0 for b. -2 Suppose 4*b - 43 = -19*a + 14*a, -3*b + 33 = 3*a. Solve -11*s - b = -8*s for s. -4 Let s be (2 + 14/(-6))/(70/(-2730)). Solve 36*b = s*b + 115 for b. 5 Suppose 8*a = 3*a - 5*o + 45, 4*a + o = 24. Suppose 2*y + 2*w - 6*w = 12, 4 = 4*y - 4*w. Let m be y*2/(-4)*(-1 + 3). Solve -m = -a*p + 11 for p. 3 Let i = 16 - 15. Solve -10*w - i = -11*w for w. 1 Let p = 7 + -4. Let b(u) = -4*u + 15. Let t be b(4). Let i be -8*t*5/20. Solve -p = c - i for c. -1 Let l(f) = -f**2 - 5*f - 6. Let a be l(-2). Solve 5*m + 22 + 3 = a for m. -5 Let l(j) = j**3 - 9*j**2 + 4*j + 35. Let x be l(8). Let s be 1*(2 - 1 - 9). Let i = -6 - s. Solve -1 = x*k - i*k for k. -1 Let t(o) = o**2 + 5*o - 3. Let x be t(-6). Let k be 1 + 3 + -1 + -2. Suppose 7 = 2*v + k. Solve -4*g + x*g = v for g. -3 Suppose 85*z = 67*z + 1188. Solve 0 = 14*d + 4 + z for d. -5 Let r be 4*(4095/14)/13. Solve 18*g - r = -18 for g. 4 Let u be 8*((-1)/(-2))/(-1). Let y(x) = -2*x**3 + 6*x - 4. Let b be y(2). Let l = u - b. Solve -1 = -c - l for c. -3 Suppose 0 = b - 5*b + 20. Let j(m) = m**3 + 22*m**2 + 38*m - 37. Let p be j(-20). Solve p - b = t for t. -2 Let j(c) = -2*c - 11. Let p be j(-8). Suppose -z = 5*k - 14, 2*z - 22 = -z - p*k. Solve -n + 3*n = z for n. 2 Suppose g + 5*l + 1 = 21, -l = -3*g - 4. Suppose 2 = -g*m - m + 3*y, -m + y = -2. Solve m*f + 4 = -0*f for f. -1 Let d(l) = l**3 - 27*l**2 + 27*l - 23. Let b be d(26). Solve -42 - b = 9*o for o. -5 Suppose -6*m + 9 = -3. Solve -m = 4*l - 2 for l. 0 Suppose 3*s - 25 = -2*s. Suppose s*k + 2*k = 21. Solve -w + k*w = -4 for w. -2 Suppose 0 = -64*l + 75*l - 66. Let j = -2 + 3. Solve j = 5*h + l for h. -1 Let m(h) = -h**3 - 16*h**2 - 3*h - 46. Let a be m(-16). Solve 0 = -4*q + a - 6 for q. -1 Suppose 0 = -0*r - 4*r. Suppose 0 = -w + 1 + 22. Let j = 27 - w. Solve r = j*s - 3 + 11 for s. -2 Let n(a) = -2*a**2 - 33*a + 20. Let b be n(-17). Suppose 3*o - 2*r + 4 = 13, -3*o = -r - 12. Let l(k) = k**2 - 6*k + 7. Let j be l(o). Solve j*m + 5 = b for m. -1 Let j be 3 + 7*(-1 - -2). Let z(s) = s**2 - 11*s + 15. Let l be z(j). Suppose -21 = -4*u - l. Solve -u*x - 25 = -9*x for x. 5 Suppose -205 + 79 = -4*o + h, 10 = 5*h. Let t = 229 + -222. Solve -5*b - o = -t for b. -5 Suppose -5*u + 75 - 2 = a, -2*u + 5*a = -40. Solve u = 7*z - 10*z for z. -5 Let j = -163 - -167. Solve 1 - 5 = j*d for d. -1 Suppose -99*r - 80 = -115*r. Solve 4*z - r - 3 = 0 for z. 2 Suppose d + 12 = 3*d. Suppose d*r = 9*r. Solve 2*o + 10 = -r*o for o. -5 Suppose 0 = 38*i - 40*i - 26. Let j = -13 - i. Solve -3*r + j*r = 0 for r. 0 Suppose -8*t + 13*t = 20. Suppose 5*h - 5*v = 0, 7 = -0*h + 4*h + 3*v. Solve -z = h - t for z. 3 Let l(v) = 17*v - 9. Let z be l(-3). Let w be (-190)/z + 1/(-6). Solve -w*k = 2*k + 20 for k. -4 Let h(z) be the third derivative of z**5/60 - z**3/3 + 4*z**2. Let c be h(-3). Solve 4 - c = -f for f. 3 Suppose -8 = 2*l - 6*l. Suppose 0 = l*p + 3*p - 10. Let f = -8155 + 8163. Solve -2*b - p + f = 0 for b. 3 Let f = -479 + 484. Solve 7 = f*a - 8 for a. 3 Let k(b) = b**3 + 15*b**2 - 16*b + 3. Let p be k(-16). Suppose 2*w = p*w - 3. Solve a + 2 = w for a. 1 Let n = -754 - -771. Solve 22 - n = f for f. 5 Suppose 0 = 5*t - x - 4*x - 370, -2*t + 153 = -x. Solve -5 = -80*a + t*a for a. 5 Suppose 2*m - 1 = 4*p - 11, 0 = -4*m - 4. Suppose r + 1 = 0, -2*d + 7*d - 18 = -p*r. Solve 0 = -d*b + b - 9 for b. -3 Let v = 289 - 289. Solve -2*z - 3*z + 25 = v for z. 5 Suppose -a + 2*a = 4. Let b(l) = -l**2 + 83. Let x be b(-9). Let g = a - x. Solve 0 = g*r + 6 for r. -3 Suppose -4*s + 3*d + 11 = 0, -10*d = -5*s - 11*d + 9. Suppose 5*h = -5*w + 7*w - 15, 4*w - 18 = -s*h. Solve w*r = -2 - 13 for r. -3 Let p be (-1 - 1)*13 - 1. Let x be 2/6*(-3 - p). Let a = -56 + 58. Solve -a*j + 0*j = x for j. -4 Let c be ((-12)/24)/((-1)/102). Solve 48 - c = n for n. -3 Let v = -233 + 334. Suppose -7*l = -5*l + j - 39, -j - v = -5*l. Suppose 4*r - 2*p - 6 = 0, -3*r - p - 3*p = 12. Solve r*o = 4*o + l for o. -5 Let i(u) = -8*u - 174. Let w be i(-22). Suppose 4*x = 8*x - 28. Solve f + x = w for f. -5 Let g(t) = t**3 - 8*t**2 - t + 8. Let f be g(8). Let z be -1 + 1 + (-18)/(-6). Let a be (f - z/(-9))*0. Solve a = -s + 6*s - 5 for s. 1 Suppose 5*s + i - 5*i - 2 = 0, 0 = -3*s - 3*i + 12. Let q be -1*s + (-9)/(-3). Solve -4*v = -q + 9 for v. -2 Let c(n) = n**2 + 3*n + 2. Let b be c(-5). Suppose x + x + 29 = 5*p, 0 = 4*p + 4*x - b. Solve p*a - 7 + 2 = 0 for a. 1 Let k = -17 + 24. Let m = -4 + k. Suppose -2*n + 6 = 3*c - 4*n, -4*c - m*n - 9 = 0. Solve 0*i - 3*i = c for i. 0 Let o(q) = 6*q**3 + 2*q - 1. Let c(b) = -b**3 - b. Let f(y) = 5*c(y) + o(y). Let r be f(-2). Let h be (2/r)/((-2)/6). Solve -5 = w - h for w. -3 Let f(w) = 11*w + 157. Let m be f(-14). Solve -m*a - 38 + 47 = 0 for a. 3 Let n(b) = 2*b - 3. Let i be n(3). Let m(w) = 2*w - 19. Let t be m(14). Suppose 0 = -i*u + y + t, -2*y = -6*y. Solve -u*c + 11 = -1 for c. 4 Let j(g) = -g + 6. Let c be j(4). Suppose 27 = -3*b + 30. Suppose -b = 3*h - 7. Solve -h*i = -0*i + c for i. -1 Let r = 1 + -7. Let n be r*(-4)/8 - 0. Suppose 0 = -3*h + n, 2*h - 4*h = -3*k + 10. Solve 0*p + k = p for p. 4 Let g(d) = d**3 + 4*d - 11. Let a be g(2). Let x be 5 - 0 - a/(35/14). Solve 7*o + x = 4*o for o. -1 Suppose -5*c + w - 9 = -45, 4*c = -6*w + 22. Solve c*h - 70 = 21*h for h. -5 Suppose 5*d = -i - 4*i - 280, -121 = 2*i + 5*d. Let q = i - -56. Solve -5 - 1 = -q*l for l. 2 Let z = 19 - 11. Let i(p) = -p**2 + 2*p + 3. Let x be i(3). Suppose -3*g + 5*g - z = x. Solve -g*k + 7*k = -12 for k. -
{ "pile_set_name": "DM Mathematics" }
. What is c*l(f) + s(f)? f**3 + f**2 + 2 Let m(y) = -4*y**2 - 58*y - 10. Let s(r) = r**2 + 19*r + 3. Determine 4*m(c) + 14*s(c). -2*c**2 + 34*c + 2 Let f(d) = -d**2. Let r be ((-18)/8)/((-3)/12). Let k(s) = 4*s**2. Let j(m) = m**2 - 6*m + 2. Let l be j(6). What is l*k(w) + r*f(w)? -w**2 Let k(q) = -2*q**2 - 11*q - 1. Let s(z) = z. Determine -2*k(m) - 22*s(m). 4*m**2 + 2 Let x(j) = -6 + 40*j - 3*j**2 - 31*j - 2*j**2 + 3*j**3 + 9*j**2. Let u(k) = 2*k**3 + 3*k**2 + 8*k - 5. What is -4*u(p) + 3*x(p)? p**3 - 5*p + 2 Let k(z) = z + 1. Let g(t) = -7*t - 5. What is g(o) + 2*k(o)? -5*o - 3 Let c(u) = -3*u**3 + 4*u - 2. Let v(l) = -l**3 + l**2 - 1. Determine c(q) - 2*v(q). -q**3 - 2*q**2 + 4*q Let q(t) = t**2 + t + 1. Let g(x) = 7*x**2 - 6*x + 7. Calculate g(n) - 5*q(n). 2*n**2 - 11*n + 2 Let w(o) = 10*o**2 + 4*o + 3. Let r(a) = 3*a**2 + a + 1. Calculate 14*r(h) - 4*w(h). 2*h**2 - 2*h + 2 Let z(s) = s**2. Let h be ((-4)/10)/((6/(-15))/(-1)). Let g(u) = -4*u**2 - u - 7. Let r(o) = -o**2 - 2. Let k(m) = -2*g(m) + 7*r(m). Calculate h*z(a) - k(a). -2*a**2 - 2*a Let d(h) = h**2 - h. Let w(x) = 20*x**2 - 24*x. Calculate -44*d(p) + 2*w(p). -4*p**2 - 4*p Let u(s) = -s + 1. Let x(m) = -7*m + 9. Let z(c) = 6*u(c) - x(c). Let g(j) = -2*j - 2*j + 4 + 2*j. Give -3*g(p) - 4*z(p). 2*p Let p(g) be the first derivative of g**4/4 + 2*g**3/3 - g**2 + 2*g - 2. Let d(k) = -2*k**2 + 188*k - k**3 - k**3 - 3*k**2 - 5 - 184*k. What is 2*d(x) + 5*p(x)? x**3 - 2*x Let v(m) = m**3 - m**2 - m + 1. Let n(s) = 5*s**3 - 8*s**2 - 3*s + 3. Calculate -n(o) + 3*v(o). -2*o**3 + 5*o**2 Let t = 5 - -15. Suppose -4*v - 8 = -t. Let w(l) = 2*l**2 + 2*l - 5. Let y(k) = -k**3 + 2*k**2 + 3*k - 6. What is v*w(i) - 2*y(i)? 2*i**3 + 2*i**2 - 3 Let t = 5 - 3. Let a(i) = -i. Let h(g) = -6*g. Calculate t*h(n) - 11*a(n). -n Let w(y) = -y**3 - 7*y**2 + 4*y + 4. Let j(t) = 8*t**2 - 5*t - 5. Calculate -4*j(r) - 5*w(r). 5*r**3 + 3*r**2 Let p(g) = -6*g + 2. Let a(l) = -12*l + 4. Give 4*a(j) - 7*p(j). -6*j + 2 Let k be 20/9 + (-2)/9. Let u(r) = -4 + 0 - 29*r**k - 2*r + 24*r**2. Let v(d) = -14*d**2 - 5*d - 11. Calculate 11*u(y) - 4*v(y). y**2 - 2*y Let v(f) = f**2 + 5*f + 1. Let w be v(-3). Let q(n) = -8*n**3 + 2*n**2 - 6*n + 6. Let d(m) = -7*m**3 + 2*m**2 - 5*m + 5. What is w*q(p) + 6*d(p)? -2*p**3 + 2*p**2 Let c(u) be the third derivative of u**4/6 + u**3/3 - 49*u**2. Let k = 1 - 4. Let l(w) = -3*w - 1. Let x = -3 + 1. What is k*l(j) + x*c(j)? j - 1 Let u(x) = -2*x**3 - 3. Suppose 3*z = -0*z. Suppose 2*g + 20 = 4*t - z*g, 0 = -2*g + 4. Let i(h) = -3*h**3 - 5. Calculate t*i(b) - 10*u(b). 2*b**3 Let t(b) = 4*b**3 - 8*b**2. Let k(q) = -q**2. Calculate -5*k(l) + t(l). 4*l**3 - 3*l**2 Suppose -4*n + 13 - 1 = 0. Let i(s) = 7 - n*s - 8 - 7 - 4*s - 8*s**2. Let u(a) = -17*a**2 - 15*a - 17. Calculate -13*i(c) + 6*u(c). 2*c**2 + c + 2 Let i(d) = -2*d**2 - 6*d - 7. Let r(s) = s**2 + s + 1. What is -2*i(t) - 14*r(t)? -10*t**2 - 2*t Let s(k) = -2*k**3 - 2*k - 1. Let x(n) = -3*n**3 - 5*n - 3. Calculate 5*s(p) - 2*x(p). -4*p**3 + 1 Let x(z) = -1. Let y(m) = 27*m + 2. Let c(g) = 2*x(g) + y(g). Let d(b) = b**3 + 14*b**2 - 13*b + 18. Let f be d(-15). Let q(k) = 11*k. What is f*q(a) + 5*c(a)? 3*a Suppose -4 = -2*q + 4*u, -2*q - 2*q + 11 = -5*u. Let c(f) = 2*f - 5. Let n(b) = -b + 4. What is q*n(h) + 3*c(h)? 2*h + 1 Let i(h) = 190*h**3 - 228*h**2 + 228*h - 228. Let b(y) = -y**3 + y**2 - y + 1. Calculate -228*b(t) - i(t). 38*t**3 Let c(v) = -7*v**3 - v**2 - 3*v + 6. Let b(u) = 20*u**3 + 2*u**2 + 8*u - 19. Determine -3*b(j) - 8*c(j). -4*j**3 + 2*j**2 + 9 Let o(v) = -v**2 - 6*v + 12. Let l(y) = -y**2 - 7*y + 13. Give 6*l(b) - 7*o(b). b**2 - 6 Let f(q) = 4*q**3 - 3*q**2 - 3*q. Let o(z) = -3*z**3 + 2*z**2 + 2*z. Let d(t) = t**3 + 8*t**2 - 7*t + 15. Let i be d(-9). Determine i*o(j) - 2*f(j). j**3 Let n(o) = -61*o - 56*o - 2*o**2 + 113*o. Let g(q) = -2*q**2 - 3*q. Suppose 5*d = 4*y - 31, -2*d - 7 = -d - y. Let r = 3 + 1. Determine d*n(x) + r*g(x). -2*x**2 Let k(x) = -x**2 - 1. Let d(i) = i**3 - 4*i - 3. Let j be d(-2). Let a(q) = 3*q**3 - 3*q**2 - 3. What is j*k(g) + a(g)? 3*g**3 Let i(h) = 5*h**3 + 2*h**2 - 2*h + 2. Let o(k) = k**2. Let u(g) = -10*g**3 - g**2 + 4*g - 5. Let q(z) = -4*o(z) + u(z). Give -5*i(r) - 2*q(r). -5*r**3 + 2*r Let k(t) be the first derivative of -t**4/4 - 3*t**2 - 3*t - 21. Let l(s) = -5*s - 2. What is -2*k(n) + 3*l(n)? 2*n**3 - 3*n Suppose 0 = -3*d + 15. Let y(i) = 7*i**2 + 7*i - 7. Let q(r) = 6*r**2 + 6*r - 6. Determine d*q(j) - 4*y(j). 2*j**2 + 2*j - 2 Let i(f) = -f - 1. Let m(a) be the first derivative of a**2 + 5*a - 2. Calculate 4*i(l) + m(l). -2*l + 1 Let f(q) be the first derivative of 2 + 2*q + 3/4*q**4 - 1/3*q**3 - q**2. Let a(z) = z**3 - z + 1. Let p(o) = 2*o. Let s be p(1). Calculate s*f(m) - 4*a(m). 2*m**3 - 2*m**2 Let o(g) = -2*g**2 - 6*g - 5. Let b be (2/4)/((-5)/(-30)). Suppose b = 2*n - 7. Let x(l) = 2*l**2 + 7*l + 6. Calculate n*x(z) + 6*o(z). -2*z**2 - z Let l(i) = 4*i + 18. Let p(d) = -5*d - 18. What is 6*l(a) + 5*p(a)? -a + 18 Suppose 0*g + 5*g = 5. Let o(d) = g + d + 3 - 4 - 2. Let r(u) = -1 + 2*u - 1 - 1. Determine 6*o(s) - 4*r(s). -2*s Let d(k) = -4*k + 2. Let y = -6 + 10. Suppose y*x - 5*z = x - 6, 4*z - 6 = 3*x. Let l(v) = -21*v + 11. What is x*l(c) + 11*d(c)? -2*c Let q(o) = -o. Let u(v) = 4*v + 1. Give -2*q(n) + u(n). 6*n + 1 Let v(r) = -r**3 - 13*r + 6. Let u(z) = -z + 1. Calculate 6*u(q) - v(q). q**3 + 7*q Let w(v) = 9*v - 6. Let i(g) = -14*g + 9. What is -5*i(z) - 8*w(z)? -2*z + 3 Let l(a) = -3*a**3 - 6*a**2 - 6. Let y(g) = g**2 + g + 1. Calculate -l(z) - 6*y(z). 3*z**3 - 6*z Let d(p) = 2*p**3 + 12*p**2 + 4. Let a(g) = -g**2. Give -5*a(l) - d(l). -2*l**3 - 7*l**2 - 4 Let m(n) = -4*n**2 + 4*n + 4. Let y(a) = 4*a**2 - 5*a - 5. Calculate 5*m(k) + 4*y(k). -4*k**2 Let m(u) = -16*u**3 - 3*u**2 - 2*u - 2. Let n(i) = i**2 + i + 1. Determine m(q) + 2*n(q). -16*q**3 - q**2 Let h(o) = o + 5. Let f(m) = -m - 6. Give -5*f(y) - 6*h(y). -y Let b(u) = 1. Let k(f) = 23*f - 69. Give -69*b(y) - k(y). -23*y Let l(p) be the first derivative of p**5/40 - p**4/8 - 2*p**3 - 4. Let m(h) be the third derivative of l(h). Let q(o) = -2*o + 2. Give -3*m(i) - 4*q(i). -i + 1 Let p(h) = 5*h + 11. Let b(t) = 9*t + 21. Let a(n) = 4*b(n) - 7*p(n). Let l = 4 + -3. Let k(r) be the first derivative of r + 1. Calculate l*a(z) - 6*k(z). z + 1 Let i(k) = -7 + 7*k + k**2 - 3 + 8 + 1. Let z(q) = -2*q. Suppose -14 - 14 = -4*u. What is u*z(b) + 2*i(b)? 2*b**2 - 2 Let x(f) = -f - 5. Let u(b) = b + 0*b + 6 + 0. Let o = 4 - 10. Let y = -10 - o. What is y*x(q) - 3*u(q)? q + 2 Let l be (2/5)/(1/5). Let g(r) = 0*r + r - 2 + 7*r**2 - 8*r**2 + 0*r. Let w(a) = -3*a**2 + 4*a - 6. Let t be ((-14)/(-6))/((-1)/3). What is l*w(f) + t*g(f)? f**2 + f + 2 Let t(a) = 31*a**3 - 16*a + 11. Let z(g) = -6*g**3 + 3*g - 2. Let s(j) = -2*t(j) - 11*z(j). Let k(v) = -13*v**3 + 2*v. Give 2*k(c) + 7*s(c). 2*c**3 - 3*c Let f(y) = 5*y - 1. Let k(t) = 16*t - 2. Give 8*f(c) - 3*k(c). -8*c - 2 Suppose 3*l + 1 = 10. Suppose -l*f - 15 = -8*f. Let a(j) = j**f - 5*j + 10*j + 4 + 4. Let x(s) = -s - 1. What is -a(w) - 6*x(w)? -w**3 + w - 2 Let s(w) = -24*w**2 + 1 - 3*w + 2*w + 26*w**2 + 0. Let k(i) = i**2 - i + 1. Determine -6*k(a) + 6*s(a). 6*a**2 Let j(b) = -91*b**2 - 7*b - 7. Let i(w) = 46*w**2 + 3*w + 3. Give 7*i(a) + 3*j(a). 49*a**2 Suppose -4*w - 18 = -w. Let y(b) be the second derivative of -2*b + 0 + 23/6*b**3 + 0*b**2. Let p(x) = 8*x. Calculate w*y(m) + 17*p(m). -2*m Let j(c) = 12*c**2. Let p(d) = 25*d**2. What is 5*j(s) - 2*p(s)? 10*s**2 Let m(f) = f**2 + f - 1. Let c(o) = 82*o**2 - 6*o + 6. Determine c(n) + 6*m(n). 88*n**2 Let a(r) = 5 - 3*r**2 + 6*r - r**2 - r**2 - 11. Let p(c) = -11*c**2 + 13*c - 13. Let t be ((-66)/55)/(2/(-10)). Determine t*p(u) - 13*a(u). -u**2 Let g = -17 + 19. Suppose 3*s - 6 = s. Let c(d) = -4*d + 4*d**3 + 0*d - s*d. Let v(i) = i**3 - 2*i. Give g*c(z) - 7*v(z). z**3 Let a(w) = -w**2 + 2*w + 6. Let p be a(4). Let s(f) = -4*f**2 - f - 4. Let i(y) = 17*y**2 + 5*y + 17. What is p*i(l) - 9*s(l)? 2*l**2 - l + 2 Let k(x) = -2*x**2 + 4. Let j = 54 + -25. Suppose -4 = -u - m - 3, 0 = -u + 5*m - j. Let z(s) = s**2 - 1. Give u*z(g) - k(g). -2*g**2 Let o(l) = 22*l**2 - 17. Let x(a) = -7*a**2 + 6. What is 6*o(n) + 17*x(n)? 13*n**2 Let s(q
{ "pile_set_name": "DM Mathematics" }
5 - 1) + 2 - 2*p - 2 - 17 + p + 15 - 3*p. 2*p - 2 Expand (6 + 1 - 1)*((4 + 0 - 6)*(-v - 2 + 2) + 1 - 1 - v). 6*v Expand 288*b**3 + 25*b**5 - 288*b**3 + (-4*b**2 + 4*b**2 - 2*b**2)*(-3*b + 3*b + b**3). 23*b**5 Expand o**3 - o**3 + o**3 - 5*o**3 - 3*o**3 + 4*o**3 + 5*o**3 + 7*o**3 - 5*o**3 + (2 - o - 2)*(3*o**2 - o**2 - 3*o**2) + 2*o**3 + 5 - 5. 7*o**3 Expand (-2 - 1 + 5)*((-14 - 1 + 3)*(5*t - 3*t - 3*t) + 4*t - 2*t + t). 30*t Expand (3*c**2 - 4*c**2 + 0*c**2)*(10 - 3*c - 14*c + 2*c**2 - 12). -2*c**4 + 17*c**3 + 2*c**2 Expand (0 - 1 + 3)*(4 - 2 - 4)*(98*p - 15*p + 23*p). -424*p Expand (6 - f - 6)*(-2 - 3 + 6)*(17 - 17 - 5*f**2). 5*f**3 Expand (2 - z - 2)*(2 - 3 - 4)*(4*z**2 + 2*z**2 - 5*z**2). 5*z**3 Expand (45 - 45 - 13*r)*(0*r**4 + 0*r**4 - r**4). 13*r**5 Expand (o - 5*o + 2*o)*(-2*o + 4 - 4)*(2 + 7*o**3 - 2). 28*o**5 Expand (28*w - 1201 + 1201)*(3*w + 0*w - 2*w). 28*w**2 Expand (-z + 2 - 2)*(-6*z + 5*z**3 + 6*z). -5*z**4 Expand (10*g**2 + 22 - 11 - 13)*(0 + 0 + g). 10*g**3 - 2*g Expand (-8*t**2 + t**2 + 10*t**2)*(-t**3 - 3*t**3 + 5*t**3) + (2*t - 2*t + 2*t**2)*(-4*t**3 - 3*t**2 + 3*t**2) + t**5 - 3*t**2 + 3*t**2. -4*t**5 Expand (0*n + 0*n - n)*(-7 + 1 + 1) + (-1 - 1 + 0)*(-3*n - 3*n + 7*n). 3*n Expand (-s + 4*s - 2*s)*(-2*s**4 + 4*s**4 - 5*s**4) - s**5 + 4*s**5 - 2*s**5 + 2*s**2. -2*s**5 + 2*s**2 Expand (-4 + y + 4 + (-2 - 2 + 2)*(3*y + 4*y - 6*y))*(-2*y - y + 0*y). 3*y**2 Expand (-g + 2*g + 3*g)*(-2 + 1 + 2 + (2 - 4 + 4)*(-1 + 0 - 1) + 3 + 2 - 6 + 15 + 6 - 4)*(1 - 3 + 1). -52*g Expand -2*g + 2*g + 2*g + (2 - 1 + 2)*(-g + g + 6*g). 20*g Expand (2*q - 4*q + 0*q)*(0*q**2 - q**2 + 3*q**2) - q**3 + 2*q - 138*q**2 + 138*q**2 - 4*q**3 + 3*q**3 + 2*q**3. -4*q**3 + 2*q Expand (1 - 2 + 3*c + 2)*(-6*c**3 + 5*c**3 + 8*c**3). 21*c**4 + 7*c**3 Expand (4 - 1 - 1)*(4*u - u + 3*u). 12*u Expand (-g**3 + 0*g**3 + 0*g**3)*(1 + 7 + 0) - 3 + 5 - 2*g**3 - 1. -10*g**3 + 1 Expand (-w - 2*w**2 + 2*w**2 + 4*w**3)*(2 + 5 + 1). 32*w**3 - 8*w Expand (2*l - 3*l + 0*l + (-1 + 0 + 0)*(-2*l - 1 + 1) + 3*l - 4*l + 3*l)*(3 - 2 - 3). -6*l Expand (-3 + 2 + 4)*(-5 - 1 + 2)*((-1 + 1 - q)*(0 + 3 - 2) + 1 - q - 1 + 1). 24*q - 12 Expand (4 + 2*t - 4)*(-12 + 1 + 1)*(-2*t**2 - 3*t + 3*t). 40*t**3 Expand (2*s + s - 2*s)*(-3 - 3 + 4) + 11*s - 6 + 6 - 1. 9*s - 1 Expand (-l + 0*l + 3*l)*((0*l**3 - 3*l**3 + l**3)*(-2 + 2 - 2) + 0*l**3 - l**3 - l**3)*(l + l + 0*l) + 69 - 69 - 70*l**5. -62*l**5 Expand -6*p + p + p**2 + p**3 + 9*p + (2*p - 4*p - p)*(3*p**2 - 2*p**2 + p**2). -5*p**3 + p**2 + 4*p Expand (-k - 11*k + 2*k)*(-3*k + 7*k - 3*k + (-5*k + 4*k + 0*k)*(2 + 4 - 4) + 2 - 2 + 2*k). -10*k**2 Expand (-5*y**2 + 0*y**2 + 4*y**2)*(-102 - 80 + 2). 180*y**2 Expand (b - 4*b + b)*(118*b - 147*b + 105*b) + (-2 - 1 + 4)*(2 - 2 - 2*b**2). -154*b**2 Expand (13*c**3 - 13*c**3 + c - 3*c**4)*(-4 + 4 + 3)*(-4*c + 5*c + c). -18*c**5 + 6*c**2 Expand (-2*m**2 - 2*m**2 + 3*m**2)*(2*m + 5*m - 5*m)*(-2*m + 2*m + 2*m). -4*m**4 Expand (z**2 - 3 + 3)*(-16*z + 43 - 43). -16*z**3 Expand (-3*i + 2*i - i)*(2*i + 0 + 0) + 8*i**2 + 7*i**2 + 2*i**2. 13*i**2 Expand (-2*i - 1 + 1)*(0 + 0 + 1)*(-1 - 1 + 0 + 4 - 2 - 3 + 2 + 0 + 0 + (-4 + 2 + 0)*(0 + 4 - 2) + 3 + 0 - 1). 6*i Expand (j**2 + 4*j**2 - 2*j**2)*(2 - 2 + 2*j**2) + (8 - 9 - 30)*(j**4 + j**4 - 3*j**4). 37*j**4 Expand (-2*s - s + 2*s)*(-4 + 2*s + 4)*(1 - 4*s**3 - 1) + (-2*s**2 + 2*s**2 + s**5)*(-2 - 4 + 5) - s**5 + 5*s**5 - s**5. 10*s**5 Expand (7*h**2 - 4*h**3 - 7*h**2)*(-2 + 2 + 3). -12*h**3 Expand (3 + 4 - 1)*(8 - 2*o - 3 + o). -6*o + 30 Expand (1 - 4 + 1)*(2*m**3 + 2*m**2 - 2*m**2) - 4*m**3 - 2*m + 2*m + 12*m**3 - 9*m**3 - m**3. -6*m**3 Expand ((n + 2*n - 4*n)*(-12*n + 12*n - 4*n**2) + 2*n**3 - 5*n**3 + 4*n**3)*(-2 + 0 + 1). -5*n**3 Expand 11425*o**3 - 95*o**4 - 14*o**4 - 11424*o**3 + (o**2 + 2*o**2 - o**2)*(-2*o**2 + 4*o**2 + 0*o**2) + 3*o**4 + 0*o**4 - 5*o**4 - 5*o**4 + 5*o**4 + 2*o**4. -105*o**4 + o**3 Expand (3 + 0 + 0 + 0 + 0 + 2 - 7 + 2 + 3 + (2 - 3 + 3)*(0 + 4 - 3))*(-5*v**4 + 5*v**4 + 2*v**4)*(1 - 4 + 4). 10*v**4 Expand (2*p**4 + p**4 - 4*p**4)*(-3 + 2 - 2)*(-3 + 3 + 2). 6*p**4 Expand (6*v + 4*v + 0*v)*(1 - 5 + 5)*(2*v**3 + 0*v**3 - 4*v**3). -20*v**4 Expand (w**3 - 5*w**3 - 2 - 2*w**3)*(-2*w + w + 3*w). -12*w**4 - 4*w Expand (4*f - 2*f + 2*f)*(-6 + 2 + 2) + 1 + f - 1. -7*f Expand -3*a**2 + 3*a**2 - a**4 + (-4*a**2 + 3*a**2 + 0*a**2)*(a + 2*a + 3*a)*(7*a + 5*a - a). -67*a**4 Expand -3*m**2 + 3*m**2 + 2*m**4 + (2*m + m - m)*(m**3 + 4*m**3 - 4*m**3) - m**4 - 2*m**3 + 2*m + 5*m**4 + 3*m**3. 8*m**4 + m**3 + 2*m Expand (-b + 4*b - 2*b)*(2 - 2 - 4)*(0*b**2 - 4*b**2 + 7*b**2). -12*b**3 Expand (q - q - 2*q**3)*(1 + 2*q - 1) + q**4 - q**3 + q**3 - 4*q**4 + 4*q**4 - 2*q**4 + 91 - 47*q**4 - 91. -52*q**4 Expand (-2*l + 5*l - 4*l)*(-l**2 - 6 + 3 - 2). l**3 + 5*l Expand (-2 + 0 - 1)*(-2*r + 4*r - 3*r)*(-2*r**4 + 3*r**4 - 2*r**4). -3*r**5 Expand 0 - 2*h + 0 + (h + 1 - 1)*(1 - 2 - 3) + 2 - 2 + h. -5*h Expand (2*i**3 + i**3 + 0*i**3)*(4 + 2*i**2 - 4) - i**5 + i**5 + 3*i**5 + 2*i. 9*i**5 + 2*i Expand (-4*r + r + 2*r)*(-24*r**2 - 141*r + 2 + 141*r). 24*r**3 - 2*r Expand 1 - 1 - 3*k**3 + 2*k + k**3 - 2*k + 1 - k**3 - 1 + (4*k - 4*k + k**2)*(0*k + k - 2*k) - 2*k**3 + 0*k**3 + 0*k**3 + (k - k + 2*k**2)*(3*k + 0*k - k). -2*k**3 Expand -y**5 - y**5 + 4*y**5 + (2*y + 3*y**2 - 2*y)*((3 - 1 - 1)*(2*y**3 - 1 + 1) + 2*y - y**3 - 2*y). 5*y**5 Expand (0*k - 3*k - k)*(1 + 0 + 0)*(-1 + 4 + 1). -16*k Expand (-2*t**2 - t**2 + 2*t**2)*(0*t**2 - 2*t**2 - t**2) + 2*t**3 - 2*t**3 + 2*t**4 + 5*t**4 + 0*t**4 - 4*t**4 + t + 2*t**4 - t. 8*t**4 Expand (3*r + 6*r + 17*r)*(-1 + 1 + r). 26*r**2 Expand (-10*n + 11*n + 9*n)*(-3 + 4 - 2)*(1 + 4 - 3)*(-n + 1 - 1). 20*n**2 Expand (-3 - 2*o + 3)*((3 + 0 - 2)*(2 + 0 - 3) + 2 + 1 - 2 + 4 + 5 - 2). -14*o Expand (-4 - 7 - 3)*(-2*d**2 + d**2 - d**2) + (-5*d**2 + 4*d**2 + 0*d**2)*(1 - 4 + 2). 29*d**2 Expand (-3 + 3 - 2*b)*(0*b**4 + b**4 + b**4)*(24 - 6 + 33). -204*b**5 Expand -2*z**5 + 3*z**2 - 3*z**2 + (4*z**3 - 3*z**3 + 2*z**3 + (-2 - 2*z + 2)*(0*z**2 + 3*z**2 - 4*z**2))*(-12*z**2 + 12*z**2 - 5*z**2). -27*z**5 Expand (2 - 7 + 1)*(-2*g**3 + 3*g - 3*g)*(-2*g**2 + 2*g**2 + g**2). 8*g**5 Expand (-1 + 1 + 4*n)*(-2*n**2 - 7*n + 11*n - 6*n). -8*n**3 - 8*n**2 Expand (-3*i**2 + i + i**2 + i**2)*(5*i - 5*i + 2*i**2). -2*i**4 + 2*i**3 Expand (0*j**3 - 4*j**3 + 3*j**3)*(34*j**2 + 30*j**2 - 38*j**2). -26*j**5 Expand -19*p + 41*p - 23*p**3 - 23*p + (p + 1 - 1)*(p**2 - 6*p**2 + 3*p**2). -25*p**3 - p Expand (-2*d - d - 2*d)*(-d + 2*d - 4 + d). -10*d**2 + 20*d Expand -3*d**5 + 0*d**3 + 0*d**3 - d**5 + d**5 + 5*d**5 + (4*d + 0*d - 3*d)*(4*d**4 - d**4 - d**4). 4*d**5 Expand -3*f**4 + 4*f**4 - 3*f**4 + 2*f - 2*f - 3*f**4 + (-2 + 4*f**2 + 2)*(0*f**2 - 4*f**2 + 5*f**2) - f**4 + 5 - 5. -2*f**4 Expand 3*p**2 + 5*p**2 - 5*p**2 + (0*p - 3*p + 2*p)*(-9*p + 2*p + 2*p). 8*p**2 Expand (3 - 5 + 3)*(2 + 0 - 4)*(-6*h + 4*h + 0*h). 4*h Expand 3*n - 4*n + 0*n + (0*n - 3*n + 5*n)*(4 - 4 - 1). -3*n Expand (4 - 4 - 2*f)*(-2 + 0 + 0) - 6 + 6 + 9*f + (0 + 2 - 3)*(-5*f + 3*f + 3*f). 12*f Expand (11 - 6 + 5)*(-4 + 3 - 1)*(-3*p + 0*p + 4*p)*(0*p + 2*p - 3*p). 20*p**2 Expand (-1 + 10*g - 31*g + 6*g)*(-6*g + g + 4*g). 15*g**2 + g Expand (g**3 + g**3 - 3*g**3)*(-8*g + 7*g - 8*g). 9*g**4 Expand (4*p**2 - p**2 - p**2 + (5*p - p - 3*p)*(2*p - 2*p + p) - p**2 + 6*p**2 - 3*p**2)*(-16 + 16 - 4*p**3). -20*p**5 Expand 5*d**5 - 2*d**5 + 3*d**5 - d**5 + d**5 - 3*d**5 + (2*d**3 + 0*d**3 + 0*d**3)*(5*d + d**2 - 5*d). 5*d**5 Expand (3 + 2 - 1)*(u + 0*u - 3*u) + u + 3*u + 0*u - u - u + u + (u + 1 - 1)*(-1 - 4 + 4) + u - u + u. -5*u Expand f**2 - 2*f**2 + 3*f**3 - f**2 + (-f - f + 4*f)*(3*f**2 - 4*f**2 + 0*f**2) + 0*f**2 + f**3 + 0*f**2. 2*f**3 - 2*f**2 Expand p**3 - 3*p**3 + p**3 + (3*p - 3*p + 2*p**3)*(0 + 1 + 3) + 5 - 5 + 4*p**3. 11*p**3 Expand -y**4 + 4*y**4 - y**4 + ((-4 + 2*y + 4)*(y - 4*y - 2*y) + 0*y**2 + 2*y**2 + y**2)*(0*y + 2*y**2 + 0*y). -12*y**4 Expand (-3*a**2 - 3*a**2 + 4*a**2)*(1 - 5 + 2)*(4 - 5 + 2). 4*a**2 Expand (-9 + 9 + 10*g**2)*(2 - 2 + 1)*(4*g**2 - 3*g**2 + g**2). 20*g**4 Expand (2*n + 0*n - n)*(-6 + 9 + 11). 14*n Expand -4*g**3 + 5*g**3 - 3*g**3 + (-g - g - 6*g)*(-7 + 7 - 3*g**2). 22*g**3 Expand 5*s**5 + 0*s**5 - 4*s**5 - 4*s**5 + 2*s**5 + 4*s**5 + 0*s**5 + 3*s**5 - s**5 + (4*s**2 + 4*s**2 - 7*s*
{ "pile_set_name": "DM Mathematics" }
5164.542 How many milligrams are there in 3/40 of a kilogram? 75000 How many milligrams are there in 5/4 of a gram? 1250 What is 657.2963 years in decades? 65.72963 Convert 1.777051 centuries to years. 177.7051 How many months are there in 3/50 of a millennium? 720 How many millimeters are there in seven quarters of a meter? 1750 How many nanograms are there in 38.41646 tonnes? 38416460000000000 How many litres are there in 68149.03ml? 68.14903 How many millimeters are there in 7.19627um? 0.00719627 How many micrograms are there in 70185.95 nanograms? 70.18595 How many years are there in 549.1694 decades? 5491.694 What is fourty-five eighths of a kilogram in grams? 5625 Convert 98190.44 millilitres to litres. 98.19044 How many decades are there in 3/5 of a millennium? 60 How many millilitres are there in one quarter of a litre? 250 How many litres are there in 3607.979ml? 3.607979 What is 2/125 of a gram in milligrams? 16 What is 875.591 kilograms in grams? 875591 Convert 37001.4 centuries to decades. 370014 What is 0.3485946 hours in microseconds? 1254940560 What is one tenth of a kilogram in grams? 100 How many milligrams are there in one quarter of a gram? 250 What is 17/4 of a litre in millilitres? 4250 Convert 26812.58 meters to centimeters. 2681258 What is 712.7303 hours in minutes? 42763.818 What is 1.5423819s in minutes? 0.025706365 What is nineteen quarters of a litre in millilitres? 4750 How many kilograms are there in eighteen fifths of a tonne? 3600 How many millimeters are there in 16915.09nm? 0.01691509 How many kilograms are there in 21/5 of a tonne? 4200 How many decades are there in 27/5 of a century? 54 What is 1/10 of a milligram in micrograms? 100 How many years are there in 69/2 of a millennium? 34500 How many millilitres are there in 13/5 of a litre? 2600 What is 57/2 of a litre in millilitres? 28500 What is fourty-two fifths of a litre in millilitres? 8400 How many years are there in 0.2869122 decades? 2.869122 What is 459.3827 weeks in days? 3215.6789 How many nanograms are there in 0.8962368 kilograms? 896236800000 How many minutes are there in 27/4 of a day? 9720 How many meters are there in 0.5465423 nanometers? 0.0000000005465423 What is 230651.7 millennia in decades? 23065170 What is one fifth of a milligram in micrograms? 200 What is 3/40 of a kilogram in milligrams? 75000 What is 755.6457ng in kilograms? 0.0000000007556457 How many micrometers are there in 7/8 of a millimeter? 875 How many millilitres are there in 7/2 of a litre? 3500 What is 7/2 of a litre in millilitres? 3500 How many meters are there in 30.04068 nanometers? 0.00000003004068 Convert 5505.494l to millilitres. 5505494 How many kilometers are there in 8647.341cm? 0.08647341 What is 21/4 of a litre in millilitres? 5250 How many nanograms are there in 3251.23t? 3251230000000000000 How many years are there in 8.529603 centuries? 852.9603 How many millilitres are there in 3/40 of a litre? 75 How many kilometers are there in 0.8819825 nanometers? 0.0000000000008819825 What is 194565.24 nanoseconds in days? 0.0000000022519125 How many millimeters are there in 9489.725nm? 0.009489725 What is fourty-four fifths of a microgram in nanograms? 8800 How many millimeters are there in fifty-seven halves of a centimeter? 285 How many millilitres are there in 13/4 of a litre? 3250 How many seconds are there in 215.22ns? 0.00000021522 What is 42/5 of a litre in millilitres? 8400 How many hours are there in 67221.72 nanoseconds? 0.0000000186727 What is fifteen quarters of a millennium in years? 3750 How many millilitres are there in 46/5 of a litre? 9200 What is nine tenths of a kilometer in centimeters? 90000 What is 3751.93l in millilitres? 3751930 How many centimeters are there in 3/8 of a kilometer? 37500 How many days are there in 6.8421636 minutes? 0.0047515025 Convert 53213.82 millennia to decades. 5321382 What is one fifth of a litre in millilitres? 200 How many grams are there in 6/5 of a kilogram? 1200 Convert 43.122 litres to millilitres. 43122 What is 265278.4nm in meters? 0.0002652784 How many micrograms are there in 9621.444mg? 9621444 What is 23847274.8 nanoseconds in days? 0.000000276010125 How many millilitres are there in thirteen quarters of a litre? 3250 Convert 0.0536887 minutes to nanoseconds. 3221322000 How many milliseconds are there in 7/2 of a second? 3500 What is twenty-one quarters of a millimeter in micrometers? 5250 What is 738191.1ml in litres? 738.1911 How many months are there in five quarters of a year? 15 How many micrograms are there in 63.16439 tonnes? 63164390000000 What is 17/10 of a micrometer in nanometers? 1700 Convert 0.9569829t to grams. 956982.9 How many hours are there in seven sixths of a day? 28 What is 43888.81 millennia in years? 43888810 How many days are there in 3547.29 hours? 147.80375 How many decades are there in seventy-two fifths of a millennium? 1440 How many years are there in 32045.39 millennia? 32045390 How many millennia are there in 469.7359 centuries? 46.97359 How many nanograms are there in 1.262075 tonnes? 1262075000000000 How many millilitres are there in one twentieth of a litre? 50 How many years are there in 7/2 of a millennium? 3500 Convert 960075.3g to tonnes. 0.9600753 How many millilitres are there in 692111.1l? 692111100 What is one tenth of a kilometer in meters? 100 How many millilitres are there in 7.055479 litres? 7055.479 Convert 2599.897 millilitres to litres. 2.599897 What is twenty-seven fifths of a litre in millilitres? 5400 Convert 290.32707 months to years. 24.1939225 How many micrograms are there in 6/25 of a milligram? 240 Convert 8.52589mm to centimeters. 0.852589 What is 0.7429477 millilitres in litres? 0.0007429477 What is 1/10 of a millisecond in microseconds? 100 How many nanograms are there in 3/40 of a milligram? 75000 What is 55788.81l in millilitres? 55788810 What is 884507.8 centuries in years? 88450780 What is 57/2 of a meter in centimeters? 2850 How many meters are there in 6/5 of a kilometer? 1200 Convert 7.825184 grams to micrograms. 7825184 What is 7933.32 milligrams in tonnes? 0.00000793332 What is 41.65852 millilitres in litres? 0.04165852 How many minutes are there in two ninths of a day? 320 How many millilitres are there in 1/4 of a litre? 250 How many years are there in 142859.76 months? 11904.98 What is 1842736.5 months in millennia? 153.561375 What is three eighths of a millennium in months? 4500 How many meters are there in 29/2 of a kilometer? 14500 What is 3.786694 years in months? 45.440328 How many centuries are there in 1880258.7 months? 1566.88225 How many weeks are there in 129392.613 hours? 770.194125 How many micrograms are there in three fifths of a milligram? 600 What is 7/2 of a centimeter in micrometers? 35000 Convert 9701.604ml to litres. 9.701604 What is one sixteenth of a second in microseconds? 62500 How many millilitres are there in three fifths of a litre? 600 How many nanograms are there in twenty-one fifths of a microgram? 4200 Convert 6274.86ml to litres. 6.27486 What is 7/4 of a year in months? 21 What is 62.10116 millilitres in litres? 0.06210116 Convert 353.3265ug to grams. 0.0003533265 How many seconds are there in one eighteenth of a week? 33600 Convert 332225.5 years to decades. 33222.55 How many hours are there in 7/3 of a day? 56 Convert 0.8113707 millennia to months. 9736.4484 What is 3.488617nm in meters? 0.000000003488617 How many milliseconds are there in 6/5 of a second? 1200 How many months are there in 11/10 of a century? 1320 How many millilitres are there in 13/8 of a litre? 1625 What is 27/2 of a kilogram in grams? 13500 How many micrometers are there in fourty-seven quarters of a millimeter? 11750 Convert 16.730844 minutes to hours. 0.2788474 What is 3281.45 tonnes in nanograms? 3281450000000000000 How many hours are there in 42.53832 milliseconds? 0.0000118162 How many millilitres are there in 24.68373 litres? 24683.73 What is 5/8 of a day in minutes? 900 What is 21/2 of a millennium in years? 10500 How many seconds are there in 611.6537 nanoseconds? 0.0000006116537 What is 3/40 of a micrometer in nanometers? 75 What is seventeen quarters of a meter in millimeters? 4250 How many months are there in 1/24 of a
{ "pile_set_name": "DM Mathematics" }
s the nearest to 5? (a) z (b) -2/7 (c) 2 c Let o = -19 + 19.02. What is the closest to 0 in 8/5, 3, o? o Let b = -8/33 + -1/11. Let r = 290 - 874/3. What is the nearest to b in r, 2, 0.4? 0.4 Let k(p) = -p**2 + p + 1. Let g(r) = -r**3 - 7*r**2 + 7*r + 8. Let l(v) = g(v) - 6*k(v). Let w be l(-2). Which is the closest to 1/3? (a) -2 (b) 6/7 (c) w b Let c = -0.02 + 0.22. Let x be ((-2)/28)/(1/8). Suppose 6*k + 5 = 11*k. What is the nearest to c in 0.1, x, k? 0.1 Let p = -152 + 148. What is the nearest to 0 in p, -0.76, -1? -0.76 Let n = 3.17 - 6.17. Which is the closest to -1? (a) -0.5 (b) 2 (c) n (d) 3/4 a Suppose 2*y - 4*n + 10 = -8*n, 5*y + 4*n + 13 = 0. Which is the nearest to y? (a) -1/3 (b) 2/11 (c) 4 (d) 5/17 a Let y = 77/85 - 12/17. Let m = -86 - -83. What is the closest to m in y, -3/4, -2/11? -3/4 Let v = -50.2 - -46. Let t = v - -4.5. Which is the closest to -0.1? (a) t (b) -25 (c) 1/3 a Let k = 22.33 - 0.33. Let w = k + -22. Let f be 2*((-1)/22)/((-9)/18). Which is the closest to -0.1? (a) f (b) w (c) -2 b Let y = 0.5 + 0. Let o = 1156.9 - 1157. Which is the closest to -0.1? (a) y (b) o (c) 1/3 b Let i = 3.755 - -0.045. Let z = 4.8 - i. Which is the closest to z? (a) 0 (b) 4 (c) -4/3 a Let c = -18 + -9. Let v = c - -26.9. What is the nearest to 1/4 in 1/2, -2, v? 1/2 Let y = -103 + 98. What is the closest to 0.045 in 0, y, 0.1? 0 Let m = 3 - 2.9. Let p = 3.2 + -4. Let u = 0.4 + p. What is the nearest to -3 in m, u, -1? -1 Let j be 2*(1 + (-6)/(-4)). Suppose 3*x = 5*a - a + 12, -7*a - 21 = -5*x. What is the closest to 3 in j, a, -4? j Let d = 2559 + -2558.7. Which is the nearest to 1? (a) -1 (b) -5 (c) d c Let m = -907 - -1813/2. Which is the nearest to m? (a) 1/4 (b) 234 (c) -0.3 c Let c = -45/98 - 2/49. Let k = 125.73 + -126. Let u = k + 0.17. What is the closest to u in -3, c, 1/5? 1/5 Suppose 46*s - 48*s + 29 = 5*j, -3*j + 11 = -2*s. Which is the nearest to -1? (a) -0.3 (b) s (c) -1/4 (d) -0.8 d Let h be (-5)/(-180) - 4/16. Which is the closest to 1? (a) 4 (b) h (c) 12 (d) 3/7 d Suppose -b - 7 = -4*x - 3, 0 = 2*b + 2*x + 8. What is the closest to b in -4, 0.2, 2/7, 0.4? -4 Let k = 13.951 + -14. Let z = 4.951 - k. Let l be (-1)/2*2/(-3). Which is the closest to -0.2? (a) l (b) z (c) 2 a Let g = -0.0341 + 0.1341. Which is the closest to 0? (a) g (b) 0 (c) 3 (d) 1 b Let o = 0.3 - 1.3. Let q = -0.1 - -0.2. Suppose 24 = -2*r - 3*r + 3*g, -2*g + 9 = -r. Which is the nearest to o? (a) -4/7 (b) r (c) q a Let q = 1943 - 1943.3. What is the nearest to 0 in 1, -4, q, -2? q Let n = 359 - 361. What is the closest to -1 in -2/17, n, -3, 4/5? -2/17 Let l = -17 - -122/7. Let h = 1.496 + -1.796. Let r = 0.3 + 0.2. What is the nearest to -1 in h, r, l? h Let z = -9 + 52. Let y = -48 + z. What is the closest to -2 in 4, 0, y? 0 Let d = -3.85 - -2.85. Let t = 0 + -0.1. Let g be (-9)/6*4/15. Which is the closest to d? (a) g (b) -5 (c) t a Let h = 0.2 + -0.5. Suppose -2*x - 11 - 5 = 4*r, 10 = -2*x - 2*r. Which is the closest to -0.06? (a) -1 (b) h (c) x b Let o = -374489/77140 + 18/3857. Let q = -23/5 - o. Let s = 0.3 - 0.2. Which is the nearest to s? (a) q (b) -2 (c) 0 c Let g = 261 + -1041/4. Let b = 17/4 - 9/2. What is the nearest to -1 in 0.2, b, g? b Let h = 403344493/910 - 443236. Let l = -1/130 - h. Let q be 108/(-48) - (-3 - 0). Which is the nearest to -1? (a) 1 (b) q (c) l c Let w = -5.292 - -0.292. Which is the nearest to 0.09? (a) -0.1 (b) 2 (c) w a Let r be (30/9)/((-4)/12). Let k = r - -9. Let h be (-3)/(-4) - (-12)/(-8). Which is the closest to k? (a) h (b) -0.5 (c) -4 a Let a be 21/14 + (-3)/(-2). Let c = 4032/11 + -366. What is the nearest to 1 in a, 0.1, c? c Let z(k) = -36*k - 287. Let g be z(-8). Which is the closest to g? (a) -6/7 (b) -1.5 (c) 0.5 (d) 1 d Let k = 880 + -882. Which is the nearest to 0.021? (a) 2/19 (b) k (c) 0.5 (d) -5 a Let v = -12 + 11.81. Let w = -0.51 - v. Let d = w - -0.22. Which is the closest to d? (a) 0 (b) 1 (c) -1 a Let w = 2 - 2. Let k = 14 + -57/4. Let n = 161 + -163. What is the nearest to n in 3, k, w? k Let d be ((-6)/(-28))/((-3)/4). Let l = -87.27 + 88. Let y = l + -0.53. Which is the closest to -3? (a) y (b) d (c) 2/11 b Let o = 578 - 578.3. Which is the nearest to 17? (a) o (b) -2 (c) -1 a Let v be 22/(11 - 10) - 2. What is the closest to -1 in v, -0.3, -2/5? -2/5 Let g(v) = -5*v**2 + 5*v - 15*v + v**3 + 1 + 10*v. Let f be g(5). What is the nearest to 1 in f, -4, -2/11? f Let g be 19/133*(-2)/1. Which is the closest to g? (a) 1/3 (b) -2/9 (c) 0 b Suppose 18*r - 22 = 7*r. Let j be 1/r*(-3)/18*3. Which is the closest to j? (a) 5 (b) -1/6 (c) -2 b Let p = 287.97 - 288. Which is the nearest to -3? (a) 0.1 (b) -0.3 (c) p b Let n = 322 - 968/3. Let y = -42 - -253/6. Let i = 1 + -0.9. What is the nearest to i in y, 1, n? y Let p = 1395 + -48823/35. Which is the nearest to p? (a) -2/19 (b) 1 (c) 14 a Let g = -0.2 + 0.1. Let n = -48 - -3. Let z = n - -42. Which is the closest to -2/3? (a) z (b) 1/7 (c) g c Let t = -3.87 - -2.87. Which is the nearest to t? (a) 2/13 (b) 0.2 (c) 1 (d) 0.19 a Let d = -1 - 2. Let v = 2.4 - 11.4. Let g = -13 - v. What is the closest to 0.3 in d, g, 0? 0 Let l = 0.5 - 0.7. Let u = 9 + -4. What is the nearest to -0.1 in u, -5, l? l Let u be (165/25 - 7)/1. Suppose 0 = -4*f - 6 + 42. Which is the nearest to -1? (a) u (b) 1 (c) f a Let s = -6207 + 18619/3. Let w = 6 + -6.8. Let v = w - -0.4. What is the closest to s in v, -0.2, -3/2? v Let w = 610.37 - 610. Which is the nearest to -3/4? (a) -0.4 (b) w (c) 5 a Let w = 2.9 - 70.9. Let h = 63 + w. What is the closest to -1/3 in -1, -2/9, h? -2/9 Suppose o - 6*o - 5 = 0. Suppose 2452*v + 8 = 2444*v. Let f = 6 + -11. Which is the nearest to v? (a) f (b) 0.3 (c) o c Let z = 17 + -22. Suppose -3*y - 3*n + 2 - 11 = 0, -2*y = -2*n - 2. Which is the closest to -1? (a) 4 (b) z (c) y c Let j = 0.3 + -0.3. Let p = -33 + 33.1. Let k = j - p. What is the nearest to k in 4, -1/3, -3? -1/3 Let t(r) = r**2 - 20*r + 17. Let x be t(21). Let j be (-2)/(-56) + x/(-133). Let d be 2/(-7) - 41/(-21). Which is the closest to -1? (a) d (b) -2 (c) j c Suppose 156 - 456 = 60*q. What is the nearest to 14/11 in 4/5, -2/9, q? 4/5 Let y = -242.4 + 244.9. What is the nearest to y in 4, 7, -3? 4 Let g = -1169 + 1168.864. What is the closest to 0.1 in 4/5, g, -4? g Let p = 4/281 - -534/1967. Which is the nearest to p? (a) -1/3 (b) -2/11 (c) -3 (d) -4 b Let x = 0.1665 - 0.1265. What is the closest to -0.1 in x, -1/5, 0.1, -0.4? -1/5 Let k = 71/6 - 28/3. Let o be 8*-1*(-1 - -2). Let g be 2/8 + 18/o. What is the closest to g in k, 0.5, 1/5? 1/5 Let f = -6515 - -6513. Let w = -10/39 + -1/13. What is the nearest to w in f, 1, -15/8? 1 Let p be 8/3*(-2)/(-24). Let s = 2.21 - 0.21. What is the nearest to 0.1 in p, s, 0.4? p Suppose 5*j = 2*m - 7 - 4, 19 = -4*j + 5*m. Let r = 157/3 + -52. Which is the nearest to j? (a) r (b) -4 (c) 4/3 a Let o = -4 + 6. Let w = 1536/5425 - -2/775. Let g be (-3)/(-30)*(-3 + -1). Which is the closest to g? (a) w (b) -1/4 (c) o b Let r = -1848 + 1843. Which is the closest to 1/4? (a) -3 (b) -1.5 (c) r b Let o = -1.59 + -2.41. Let i = 2.3 - 2. Which is the closest to i? (a) o (b) 4/5 (c) -2 b Let t = 0.8 + -0.3. Let k = 5.5 - t. Let x = -343 + 342. What is the closest to x in -2/9, k, 2/9? -2/9 Let h = -0.01 + -0.59. Let t = h - -0.3. Let a = 1.58 - 1.28. What is the closest to -0.2 in a, t, -6? t Let n(h) = 25*h + 298. Let j be n(-12). Which is the closest to 0? (a) 0.5 (b) j (c) 0.27 c Let l be 5/((2/2)/1). Let o = 397.6 - 397.8. What is the closest to o in l, -6, 0.1? 0.1 Let f = -10 + 6. Let j = f + 5. What is the nearest to -2/5 in 5, 0.3, j? 0.3 Let j be (-2)/(-5) - (-12)/(-30). What is the closest to 0.1 in j, 1/8, -2? 1/8 Let f be 2*2/(-40) - 10/25. Let q = 0.82 - -0.08. What is the nearest to f in q, 3, -0.2? -0.2 Let o = -0.07 - -0.07. Let h = 8 + -8.1. Let s be (4 - 5)/((-1)/4). Which is the nearest to -1? (a) s (b) o (c) h c Let v be 196/12 + -16 + 4/(-3). What is the closest to -2/7 in -4, 15, 6/5, v? v Let d = -0.1 - -0.1. Let s be (5 - (-52)/(-12))*(-6)/(-226). Let p = -125/678 + s. Which i
{ "pile_set_name": "DM Mathematics" }
- 4. Let x(o) = -920*o**2 + 161*o - 161. Let h(m) = -161*q(m) + 4*x(m). Determine w(h(b)). 69*b**2 Let w(o) = -5*o**2 + 3. Let j(n) = -2*n + 109. Give w(j(h)). -20*h**2 + 2180*h - 59402 Let s(u) = -5*u**2. Let l be (25/2)/(2 - 51/68). Let c(p) be the third derivative of -l*p**2 + 0*p + 0 + 0*p**3 + 1/24*p**4. Calculate s(c(z)). -5*z**2 Let c(k) = -8*k**2 + 4. Let i(t) be the second derivative of -t**6/360 - 2*t**4 - 11*t. Let u(o) be the third derivative of i(o). Calculate u(c(q)). 16*q**2 - 8 Let x(o) = 15*o. Let c(l) be the second derivative of l**4/4 + 8*l - 11. Calculate x(c(h)). 45*h**2 Let i(t) = -24*t**2. Let y(w) = 9*w**2 - 17*w**2 + 12*w**2. Calculate y(i(c)). 2304*c**4 Let h(l) = -2*l - l - 5*l. Let x(u) be the third derivative of u**5/20 - 3*u**2 + 69. Give x(h(t)). 192*t**2 Let y(n) be the second derivative of -3*n**3 + 2*n + 43. Let q(d) = 7*d. Calculate y(q(b)). -126*b Let r(x) = -1521*x**2 - x. Let b(s) = 145*s. What is b(r(d))? -220545*d**2 - 145*d Let y(n) = 64*n**2. Let j(o) = 150*o - 76*o - 74*o + o**2 - 5*o**2. Determine j(y(x)). -16384*x**4 Let p(k) = -5*k. Let f(r) be the second derivative of -r**3/3 + 15*r. Let c(j) = 4*j. Let y(n) = -3*c(n) - 5*f(n). Determine y(p(g)). 10*g Let z = -7 + 0. Let y(v) = 4*v + 7. Let s(t) = -3*t - 5. Let m(j) = z*s(j) - 5*y(j). Let n(b) be the third derivative of b**4/6 + 26*b**2. Give m(n(h)). 4*h Let d = -13 - -15. Let c(x) = -d - 3 - 2*x + 5. Let t(j) = -18*j + 5*j + 6*j + 10*j. Calculate t(c(a)). -6*a Let w(l) = 1. Let m(v) = -8*v + 8. Suppose -6*k + 12 = -2*k. Let n(o) = k*m(o) - 24*w(o). Let t(h) = -h**2. What is n(t(p))? 24*p**2 Let s(c) = -5 - 9*c + 5. Let t(n) = 3*n + n - 2*n - n - 4*n. What is s(t(u))? 27*u Let m(v) = 2*v + 3*v - 5*v + 8*v**2. Let f(n) = 2*n**2 - 6*n + 6. Let p(r) = 12*r**2 - 32*r + 32. Let a(x) = -16*f(x) + 3*p(x). Calculate a(m(j)). 256*j**4 Let m(y) = 2*y**2 - 2. Let d(x) = -11*x**2 + 10. Let c(h) = -d(h) - 5*m(h). Let p(f) = -f + 32. What is p(c(i))? -i**2 + 32 Let g(k) = -4*k. Let n(u) = -u. Let o be (22/44)/((-2)/(-4)). Let b(p) = o*g(p) - 6*n(p). Let q(d) = 0*d - 5*d - 2*d. What is q(b(i))? -14*i Let z(q) = 8*q + 2. Let j(i) = 28*i. Let g(h) = 19*h. Let t(a) = -3*g(a) + 2*j(a). Determine t(z(o)). -8*o - 2 Let v(p) = 19*p**2. Let t(d) be the third derivative of d**5/10 + d**2 + 14*d. Calculate t(v(u)). 2166*u**4 Let t(o) = -19*o. Let z(m) = -606*m**2. Determine z(t(a)). -218766*a**2 Suppose -1 = 3*a - 25. Let q(m) = -a*m**2 - 2*m**2 - m**2. Let o(b) be the first derivative of -b**2/2 + 357. Give q(o(n)). -11*n**2 Let b(t) = -4*t. Suppose -5*p - 2*o = -9, p - 3*o = 2*o + 18. Suppose -g = -p*g + 4. Let d(k) = -g*k**2 - 28 + 28. Determine d(b(i)). -32*i**2 Let d(q) = 2*q**2. Let s(y) = y + 5678917. Determine s(d(n)). 2*n**2 + 5678917 Let r(x) = -2*x**2. Let u be 1/2*(-1 - -5). Suppose -f - 4*w - 4 = 0, 6 = 2*f - w + 2*w. Let k(g) = -2*g**2 + f*g**u + g**2. What is k(r(y))? 12*y**4 Let d(z) be the first derivative of -z**5/30 + 3*z**2/2 + 3. Let r(w) be the second derivative of d(w). Let c(j) = 10*j**2. What is c(r(s))? 40*s**4 Let v(t) = 27*t - 4. Let s(h) = -57*h + 9. Let f(y) = -4*s(y) - 9*v(y). Let u(a) = -19*a**2. Calculate u(f(m)). -4275*m**2 Let r be (9 - 10) + 1 + 11. Let s(l) = -3 + 20*l**2 - 8 + r. Let w(u) = -6*u + 4*u + 4 - 4. What is w(s(i))? -40*i**2 Let g(q) = 6069*q**2 + 5. Let j(o) = -3*o**2. What is g(j(m))? 54621*m**4 + 5 Let j(h) = h**2 + 9*h + 611. Let z(v) = -3*v. Determine z(j(k)). -3*k**2 - 27*k - 1833 Let w(x) = 112*x**2. Let b(g) = 0*g + 4*g - 4*g + 4*g - 5*g. Give b(w(l)). -112*l**2 Let r(l) = 11517*l + 10. Let y(x) = -8*x**2. Calculate r(y(f)). -92136*f**2 + 10 Let t(u) = -3*u. Let n(y) = -286438*y**2. Determine t(n(v)). 859314*v**2 Let t be -6 + 7 + 0 + 1. Let z(a) = 2 - 2 + 3*a**2 + 0*a**t. Let i(x) = -7*x. What is i(z(u))? -21*u**2 Let q(p) = 61*p - 2. Let b(m) = -147*m**2 + 3*m. Determine q(b(j)). -8967*j**2 + 183*j - 2 Let b(v) be the second derivative of -v**4/6 - 2*v. Let s(m) be the third derivative of -13*m**4/24 + m**3/3 + 1438*m**2. Give s(b(i)). 26*i**2 + 2 Let q(w) be the second derivative of -13*w**4/12 - 64*w. Let z(v) = -3*v**2. What is z(q(f))? -507*f**4 Let i(m) be the third derivative of 5*m**4/12 - 163*m**2. Let b(x) = 22*x. Calculate i(b(v)). 220*v Let l(r) be the first derivative of -47*r**3/3 + r**2/2 - 66. Let y(n) = 2*n**2. Determine y(l(z)). 4418*z**4 - 188*z**3 + 2*z**2 Let b(c) = 53*c**2 - 27685 + 27685. Let x(y) = -3*y**2. Determine b(x(g)). 477*g**4 Let y(z) = -85*z. Let w(i) = 37*i**2 - 4. Calculate y(w(n)). -3145*n**2 + 340 Let c(k) be the first derivative of k**2 - 226. Let x(b) = 2*b - 3. Give c(x(t)). 4*t - 6 Let d(t) = 4*t - 2. Let c(y) = -3988*y. Calculate c(d(f)). -15952*f + 7976 Let c be 0 - 1 - -4 - 1. Let b(w) = -401*w + 9*w**c + 401*w. Let l(q) = -2*q. Calculate b(l(g)). 36*g**2 Let u(r) = 5*r**2. Let s(j) = 503*j + 463*j - 934*j. Calculate s(u(n)). 160*n**2 Let w(d) = -3*d. Let a(t) be the first derivative of -1/12*t**4 + 0*t**3 - t**2 + 0*t - 2. Let i(h) be the second derivative of a(h). Determine i(w(g)). 6*g Let v be ((-2)/7)/((-6)/42). Let q(b) = -6 + v + b + 4. Let c(a) be the second derivative of -5*a**4/12 + a. What is c(q(r))? -5*r**2 Let w(z) = -22*z**2. Let m(v) = v**3 + 5*v**2 + 2*v - 5. Let l be m(-4). Let n(q) = -10*q**2 + 11*q**2 - l*q**2. Give w(n(o)). -88*o**4 Let g(y) = 15*y. Let w(h) = 418*h. Calculate w(g(z)). 6270*z Let u(n) = 2*n**2 - 4*n - 13. Let r(q) = 4*q. Determine r(u(v)). 8*v**2 - 16*v - 52 Suppose 3*x = 7*x. Let f(j) = 2*j + j + x*j - 5*j. Let m(z) = 44 - 44 - 2*z. Calculate m(f(u)). 4*u Let d(p) = -60*p. Let a(s) = -s - 3 + 2*s - 3*s + 3. What is a(d(g))? 120*g Let p(l) be the first derivative of l**2 - 55. Suppose 11 = 2*c + 1. Let m(d) = -c*d - d + 2*d. Give m(p(k)). -8*k Let t(h) = h**2. Let r(i) = -13141*i**2. Give r(t(j)). -13141*j**4 Let z(f) be the third derivative of 0 + 0*f + 0*f**3 - 8*f**2 + 5/12*f**4. Let g(b) = 3*b**2. What is z(g(u))? 30*u**2 Let j(t) = -t + 9. Let n be j(4). Let o(r) = 19*r + n*r + 7*r. Let v(p) = -p**2. What is o(v(u))? -31*u**2 Let m(i) be the second derivative of -2*i**3/3 - 2*i + 90. Let k(u) = -28*u. Calculate m(k(q)). 112*q Let z(q) = -52*q. Let u(d) = 5611*d. Let s(t) = -2*u(t) - 217*z(t). Let x(v) = -10*v. Determine x(s(p)). -620*p Let i(k) = k. Let a(b) = -272052*b**2. Calculate a(i(t)). -272052*t**2 Let h(k) = 2*k**2. Suppose 5*f + 14 = -3*a, -2*f = -4*a - 6*f - 8. Let q(m) be the first derivative of -3 - 3/2*m**a + 0*m. What is q(h(z))? -6*z**2 Let o(t) = t**2. Let n(v) = 5*v**2 + 114*v - 7. Calculate n(o(z)). 5*z**4 + 114*z**2 - 7 Let z(p) = 7*p + 0*p - 10 + 0*p - 4*p - 5*p. Let f(j) = 13*j. Give z(f(d)). -26*d - 10 Let h(u) = -13*u**2. Let k(s) = -1163*s. What is k(h(r))? 15119*r**2 Let b(i) be the first derivative of -93*i**2 - 4*i - 13. Let x(m) = -46*m - 1. Let h(r) = -2*b(r) + 9*x(r). Let l(w) = 2*w**2. Give h(l(s)). -84*s**2 - 1 Let m(b) be the second derivative of -b**4/3 + b. Let t = -41 + 43. Let f(a) = -a**t - 53 + 53. Give m(f(r)). -4*r**4 Let v(a) = 8*a - 5. Let d(q) = -3*q + 2. Let x(m) = 5*d(m) + 2*v(m). Let u(t) = -2*t**2 + 4*t. Calculate u(x(i)). -2*i**2 + 4*i Let w(q) = -3*q. Let z(y) = 20*y - 35*y + 14*y - 2. Let k be z(-6). Let m(i) = 0*i + 6*i - 7*i + k*i. Determine w(m(j)). -9*j Let g(t) be the first derivative of -t**2 + 319. Let a(u) = -u - 1. Let s(d) = 3*d**2 - 5*d - 5. Let o(f) = -10*a(f) + 2*s(f). What is g(o(b))? -12*b**2 Let n(g) be the third derivative of g**5/30 + 2*g**2. Let x(m) = m**2 - 340*m + 340*m. Determine x(n(a)). 4*a**4 Let c(v) = -7*v**2. Let p(g) = -6*g - 2*g + g. What is c(p(t))? -343*t**2 Let k(m) = -8*m. Let f(h) = 16*h + 28. Let b(v) = 3*v + 5. Let w be 2 + 0/(-5) + 3. Let x(y) = w*f(y) - 28*b(y). Determine k(x(s)). 32*s Let q(f) = -168*f. Let p(j) = 2395*j - 804*j - 793*j - 801*j. Give p(q(n)). 504*n Let y(d) = -15*d**2. Let p(l) = 87275*l**2. Calculate p(y(q)). 19636875*q**4 Let f(y) be the first derivative of 2*y**3/3 - 3. Let x(u) = 5*u**2 + u + 1. Let v(r) = -21*r**2 - 8*r - 4. Let h(l) = v(l) + 4*x(l). Give f(h(c)). 2*c**4 + 16*c**3 + 32*c**2 Let x(f) = f. Let o be (20/(-3))/((-4)/6). Let w(h) = 4*h**2 - o*h**2 - 6*h**2. Determine w(x(b)). -12*b**2 Let x(c) be t
{ "pile_set_name": "DM Mathematics" }
Let t(j) be the third derivative of -j**4/6 + 1248*j**2. Determine x(t(u)). 27344*u**2 Suppose -192 = -22*t - 60. Let d(u) = -38*u + 3 + 6 + t - 15. Let g(j) = 5*j. Give g(d(p)). -190*p Let v(j) = -j - 2. Let z(f) = -51*f**2 + 63*f. Let g(a) = -5*a**2 + 6*a. Let o(y) = 42*g(y) - 4*z(y). Give o(v(h)). -6*h**2 - 24*h - 24 Let o be (-6)/13 - 25816/(-728). Let z(v) be the third derivative of -o*v**2 - 1/24*v**4 + 0*v**3 + 0 + 0*v. Let x(b) = -2*b - 11. Give z(x(f)). 2*f + 11 Let q(a) = 611*a. Let b(g) = 75*g**2 + 703. Determine b(q(j)). 27999075*j**2 + 703 Let f(c) = 6*c. Let q be -3 + 23 - (5 - -1 - 3). Let u(k) = -q*k**2 - 3292*k + 3292*k. Give u(f(y)). -612*y**2 Let v(i) = -i**2 + 568974. Let r(p) = p. Give r(v(l)). -l**2 + 568974 Let b(p) be the first derivative of 109*p**2/2 - 1. Let t(j) = -8 + 19 - 4 - 7 + 2*j. What is b(t(w))? 218*w Let s(c) = -2*c. Let o(x) = 55173666*x. What is s(o(a))? -110347332*a Let w(l) = 30*l + 51. Let d(k) = -35*k - 59. Let s(c) = -5*d(c) - 6*w(c). Let v(u) = 12*u. What is s(v(q))? -60*q - 11 Let m(z) be the third derivative of -8*z**5/3 - 369*z**2 + 2*z. Let t(f) = 7*f. Let w(r) = -4*r. Let q(u) = -3*t(u) - 5*w(u). Give q(m(o)). 160*o**2 Let y(l) be the third derivative of l**5/24 - 21*l**3 + 29*l**2 - 3. Let u(b) be the first derivative of y(b). Let k(s) = 50*s. Determine k(u(r)). 250*r Let b(p) = 78*p**2 - 180*p**2 - 17*p + 113*p**2. Let o(v) = v**2. Give b(o(r)). 11*r**4 - 17*r**2 Let o(k) = -3981320*k**2. Let p(b) = -3*b. Give o(p(d)). -35831880*d**2 Let k(a) be the first derivative of -2*a**2 - 55*a + 3477. Let n(s) = -11*s**2. What is n(k(u))? -176*u**2 - 4840*u - 33275 Let v(t) = -11*t**2 + 6*t**2 + 4*t**2 - 2*t**2 - 7*t**2. Let x(b) = -33*b - 8. What is v(x(i))? -10890*i**2 - 5280*i - 640 Let t(k) = -5*k**2. Let v(n) = 5380486*n**2. Calculate t(v(z)). -144748147980980*z**4 Let h(i) = -30*i**2. Let m(l) = 190*l + 36. Calculate m(h(p)). -5700*p**2 + 36 Let n(p) be the third derivative of -13*p**4/6 - p**2 - 313. Let s(k) be the second derivative of -k**4/3 - 9*k. Calculate s(n(o)). -10816*o**2 Let n(q) = -5*q. Let p(x) = 28599736*x. What is p(n(f))? -142998680*f Let p(u) = 9*u. Let n(c) = -40992*c**2 + 2688*c - 2688. Let z(f) = 229*f**2 - 15*f + 15. Let j(a) = 5*n(a) + 896*z(a). Determine p(j(y)). 2016*y**2 Let q = 383 + -5. Let b = q - 209. Let u(p) = -b*p + 343*p - 176*p. Let g(z) = z - 3. Calculate u(g(y)). -2*y + 6 Let w(x) = 5*x**2 - 1. Let b(f) = -3. Let o(g) = -2*g**2 - 7. Let n(s) = 4*b(s) + o(s). Give w(n(r)). 20*r**4 + 380*r**2 + 1804 Let f(r) = -2*r. Let s(h) be the second derivative of h**5/120 - h**4/12 + 65*h**3/6 - 12*h + 2. Let c(m) be the second derivative of s(m). Determine c(f(t)). -2*t - 2 Let r(m) = 2*m. Let l(k) = -300 - 3701*k - 437 + 737. Determine l(r(n)). -7402*n Let s(y) = -200*y - 1. Let k(o) be the first derivative of -4*o**3/3 - 1741. Give k(s(h)). -160000*h**2 - 1600*h - 4 Let t(a) be the first derivative of 0*a**2 - 98/3*a**3 + 58 + 0*a. Let g(j) = -2*j**2. Determine t(g(q)). -392*q**4 Let k(p) be the third derivative of 11*p**5/60 + p**4/12 - 84*p**2. Let q(s) = s - 4 + 4. Determine k(q(o)). 11*o**2 + 2*o Let t(q) be the first derivative of -q**3/3 - 923. Let l(u) = 2*u - 11. Determine l(t(c)). -2*c**2 - 11 Let y(p) = -16 - 18 - p - 23 - 20. Let g(d) = -2*d. What is g(y(c))? 2*c + 154 Let p(x) = 7*x. Let f(a) = 42 + 37 - 176 - 153*a**2 + 97. Give p(f(y)). -1071*y**2 Let s(n) = 2*n**2 - 244*n. Let v(m) = 10*m**2 + 3*m. Let z(u) = 28*u**2 + 8*u. Let d(g) = -8*v(g) + 3*z(g). Calculate s(d(y)). 32*y**4 - 976*y**2 Let b(k) be the second derivative of -5*k**4/6 + k. Let d(m) = -113*m - 121*m + 443*m + 25*m - 116*m - 119*m. What is d(b(g))? 10*g**2 Let m = 9 - 1. Suppose m*l - 16 = 6*l. Let f(k) = l*k**2 + 84*k - 84*k. Let n(j) = -j**2. What is n(f(q))? -64*q**4 Let h(l) = -7*l. Suppose -5*g = 180 - 35. Let d = 33 + g. Let q(v) = 0*v + d*v - 3*v. Give h(q(n)). -7*n Let g(h) = 5*h**2 + 0*h**2 - 3*h**2. Let z(v) = -39*v - 22. Let b(t) be the first derivative of 9*t**2/2 + 5*t + 64. Let n(i) = 18*b(i) + 4*z(i). Give g(n(a)). 72*a**2 + 48*a + 8 Let g be (-4)/(-24) - (-33)/18. Let v = 245 - 243. Let h(j) = -54*j**v - 60*j**g + 112*j**2. Let x(b) = 8*b. Give h(x(m)). -128*m**2 Let m(a) = -20*a - 1. Let n(j) = -243961*j. Determine n(m(q)). 4879220*q + 243961 Let f(l) = 3*l**2. Let p(k) = 7*k - 43. Let c(r) = 21*r - 145. Let z(q) = 2*c(q) - 7*p(q). Give z(f(u)). -21*u**2 + 11 Let z(j) = -7*j**2. Suppose 577*c - 574*c - 6 = 0. Let p(h) be the third derivative of 0*h**3 + 0*h + 0 + 17*h**c + 0*h**4 - 1/30*h**5. Give z(p(b)). -28*b**4 Let n(r) be the first derivative of -7/3*r**3 + 0*r + 0*r**2 - 34. Let h(g) = 10*g. Determine h(n(v)). -70*v**2 Let k(b) = 3*b. Let n(w) = -3812089*w**2. Give n(k(c)). -34308801*c**2 Let w(p) = -7*p - 12. Let s(y) be the first derivative of y**2 + 2*y - 56. Let f(x) = -6*x - 5. Let m(j) = 2*f(j) + 5*s(j). Calculate m(w(g)). 14*g + 24 Let c(p) be the second derivative of 2*p + 65 - 1/2*p**2 - 4/3*p**3. Let f(v) be the first derivative of -v**3/3 + 1. Give c(f(q)). 8*q**2 - 1 Let o(i) be the second derivative of i**4/6 - 3*i. Let l(m) be the third derivative of -m**5/30 - 4*m**3/3 + 18*m**2 - 48. Give o(l(y)). 8*y**4 + 64*y**2 + 128 Let p be -20*((-20)/25 - 3/15). Let b(l) = 21*l**2 + p*l**2 - 11*l**2 + 31*l**2. Let i(t) = -2*t. Give b(i(m)). 244*m**2 Let b(g) = -36912653*g**2. Let f(x) = -3*x**2. Calculate f(b(d)). -4087631854495227*d**4 Let a(k) = -k**2. Let y(u) = -11*u - 66. Let d be y(-11). Let f(q) = -q**3 - 6*q**2 + 5*q + 12. Let z be f(-7). Let l(j) = -24*j + d*j - z*j. Calculate a(l(v)). -25*v**2 Let w(u) = -101*u**2 - 1. Let o(l) = -2576*l. Determine w(o(b)). -670213376*b**2 - 1 Let o(z) = z**3 + 6*z**2 + 7*z - 4. Let a be o(-4). Suppose -11*v + v = a. Let c(b) = 3*b**2 + v*b**2 + 124*b - 124*b. Let n(i) = 32*i**2. Calculate n(c(x)). 288*x**4 Let o(c) = -c**2 + 48. Let n(s) = -13*s**2 - 4*s + 4. Let d(g) = -10*g**2 - 3*g + 3. Let z(u) = 4*d(u) - 3*n(u). Give z(o(v)). -v**4 + 96*v**2 - 2304 Let b(l) = 2*l**2 + 9*l - 7. Let o be b(-5). Let j be (-156)/(-24) - (-1)/o. Let q(h) = 374 - 374 - j*h. Let w(s) = 4*s. Determine q(w(m)). -24*m Suppose -41 = -2*a + 5*c, c = a + 2*a - 68. Let m = a - 21. Let x(k) = -12*k**m - 5*k**2 - 8*k**2 + 4*k**2. Let w(u) = -u. Give x(w(t)). -21*t**2 Let m(s) = -2*s. Let l(p) = 28438411*p + 1. Determine l(m(q)). -56876822*q + 1 Let c(a) = -162*a**2. Let g(f) = 269*f. Calculate g(c(n)). -43578*n**2 Let o(m) = 82063*m**2. Let z(u) = -103*u**2. What is o(z(s))? 870606367*s**4 Let q(h) = -h**2 + 16*h + 22. Let p be q(17). Suppose -39 - 1 = -p*m. Let s(c) = 4*c + m*c - 6*c + 5*c. Let u(k) = -k**2. Give u(s(v)). -121*v**2 Let a(q) = -5*q. Let s(r) be the second derivative of r**3 - r - 50. Let b(j) be the third derivative of j**4/24 + j**2. Let h(d) = 5*b(d) - s(d). Give a(h(o)). 5*o Let u(i) = 2*i**2. Let k(n) = -69226131*n. Calculate k(u(r)). -138452262*r**2 Let t(m) = -m**2 - 346*m - 1755. Let b(p) = 49*p. Determine t(b(i)). -2401*i**2 - 16954*i - 1755 Let b(n) be the third derivative of n**4/12 - 13*n**3/3 + 3*n**2 - 2. Let i(u) be the third derivative of u**4/12 - 16*u**2 + 1. Calculate b(i(p)). 4*p - 26 Let f(i) = 8*i**2 + 4*i. Let q(o) = -11*o**2 + 42*o + 18. Let u(b) = 10*b**2 - 35*b - 15. Let k(h) = -5*q(h) - 6*u(h). Calculate k(f(d)). -320*d**4 - 320*d**3 - 80*d**2 Let p be 1608*8/((-192)/(-18)). Let k(u) = 2482*u**2 - p*u**2 - 1235*u**2. Let d(n) be the first derivative of n**2 - 3. Calculate k(d(x)). 164*x**2 Let t(p) = 42*p**2. Let n(j) be the third derivative of 23*j**4/12 - j**2 + 1812. Calculate n(t(l)). 1932*l**2 Let c(m) = 66*m. Suppose -48 = 7*k - 62. Let s(l) = 5*l**k - 4*l**2 + 3*l**2 - 6*l**2. Give c(s(y)). -132*y**2 Let t(r) = 5*r - 3. Let w(s) = s - 6. Let x(d) = 7*d**2 + d - 2. Let u be x(1). Let f(j) = -j + 5. Let v(o) = u*f(o) + 5*w(o). What is v(t(g))? -5*g + 3 Let z(s) = -4*s - 5. Let m(f) = f - 2. Let d(i) = -3*i + 7. Let r be d(2). Let u(b) = r*z(b) - 3*m(b). Let p(x) = -x**2. Calculate p(u(g)). -49*g**2 + 14*g - 1 Let w(u) = -690*u**2. Let m(x) = 316644*x. Give m(w(t)). -218484360*t**2 Let o(m) = m. Let j(p) = 239*p**2 - 4. Suppose -g - 7 = -r, -3*g - 11 + 2 = 0. Let d(x) = -478*x**2 + 7. Let y(u)
{ "pile_set_name": "DM Mathematics" }
hat is the nearest to 1/3 in 1/2, -295/4, 3/7, -11638? 3/7 Which is the closest to -2526? (a) -0.044 (b) 19 (c) 0 a Which is the closest to -2001? (a) 0.3 (b) -5 (c) 1/3 (d) -0.03 (e) 4/3 b What is the nearest to -1/2 in 0.25, 80, -15, 0.04, 2? 0.04 What is the nearest to 8471 in 3, -1, -2/9? 3 What is the nearest to 0 in -320, -3/8, 56, -2, -1, 15? -3/8 What is the closest to 3 in 0, 0.31, 88.349? 0.31 Which is the closest to -5.1? (a) -14 (b) 2 (c) 962 b What is the closest to 2/7 in -49, 0.16584, 0.133, 5? 0.16584 What is the closest to -1/5 in 0.033, -0.1, 7534, 1? -0.1 What is the closest to -42 in 4, 0.1, 0.4, -3, -41? -41 Which is the nearest to -0.1? (a) -16 (b) -3 (c) -2 (d) -115 (e) 1/43 e What is the nearest to -1 in -37, -0.4, 10088, -0.3, -3? -0.4 Which is the nearest to -0.1? (a) -0.08 (b) 12/257 (c) -364/23 a Which is the closest to -107815? (a) -3/5 (b) 0.1 (c) 0.18 a Which is the nearest to 444? (a) 4 (b) 2 (c) 0.4 (d) -6531 a What is the closest to -0.01 in 51, 58, -2/101? -2/101 Which is the nearest to 2? (a) -108 (b) -13 (c) -1/22 (d) -15 c What is the nearest to 5218 in -2, 1/6, -31/11? 1/6 What is the nearest to -0.1 in -39.939, -5, 3/2? 3/2 What is the nearest to 3 in -0.1, 1.1, 0.77, 1/4, 0.9, -0.2? 1.1 What is the closest to 1 in 132, -3/10, 29/185? 29/185 Which is the closest to 192? (a) 0.1 (b) -41 (c) -7 a Which is the nearest to -5? (a) 0.06 (b) 3 (c) -1 (d) -1/20 c What is the closest to -1 in -3/176, 3, 3121? -3/176 What is the closest to -0.02 in 3, -1, -5/4, -3/34, 2/5, 5? -3/34 Which is the nearest to -2942? (a) -0.3 (b) -1475 (c) -2 (d) -1/5 (e) 2 (f) -2/5 b What is the closest to 1 in 0.1, 143563, 0.2? 0.2 Which is the nearest to -4.1? (a) -29 (b) 11/7 (c) -4 c What is the closest to 0 in -2, -3, -0.17, -27, -17? -0.17 Which is the closest to -2? (a) -11 (b) -3 (c) 16/3 (d) 117 (e) -2/13 b Which is the nearest to -132? (a) 3 (b) -1/2 (c) 737 (d) 1/5 (e) -1/11 b Which is the nearest to 0.4? (a) 0 (b) -0.4 (c) -77311826 a What is the closest to -0.17 in 1/16, 20, 0.8, -0.5, -55? 1/16 Which is the closest to 0.1? (a) -0.23 (b) 0 (c) -57/4 (d) -35 b What is the nearest to -316 in 8, 5, -79/6, -0.2? -79/6 Which is the closest to -566? (a) -0.5 (b) -54 (c) 12.1 b What is the closest to -1 in -0.2, 5881085, 5, 0.3, 4, 2? -0.2 Which is the nearest to -3/8? (a) -2/3 (b) -0.09 (c) -521 (d) -2 (e) 1/19 b What is the closest to -0.06 in -12, -3.1, 53, -9? -3.1 What is the nearest to -1 in 0, -0.029837, 3, 6.2? -0.029837 What is the nearest to -4 in 71, 2103, -0.4? -0.4 Which is the closest to 7? (a) -0.6 (b) -394 (c) 43 a What is the closest to 1898 in 0, 0.143, 1/4, 1/28? 1/4 Which is the closest to 1? (a) 4 (b) -4305.7 (c) -4 a Which is the closest to -0.1? (a) 4 (b) 713 (c) -10025 a Which is the nearest to 2? (a) -3/28 (b) -5 (c) 5 (d) 27/4 a Which is the closest to -0.01? (a) -2/1339 (b) 1 (c) 3 (d) 0 (e) 148 a What is the closest to -2/7 in 10, -0.54, -8.758? -0.54 What is the nearest to -0.2 in 0.3, -10, 18/10571, -1? 18/10571 What is the closest to -1 in 934, -3, 4, 296, -1, -4/7? -1 What is the nearest to -2179.8 in -3, -1, 2/9? -3 Which is the closest to 4? (a) -7 (b) 38.8 (c) -3/8 (d) -1.1 c Which is the closest to 1/2125? (a) -1 (b) 0.2 (c) 118 (d) 3 (e) -0.5 b Which is the nearest to 0.0317? (a) 3 (b) 33.4 (c) 5 a What is the nearest to 0 in 61, -514, 50? 50 What is the nearest to 0.11 in -1/8, 2.51, 0.15, -4? 0.15 What is the closest to -1/41 in 3/2, 0.4, -2/11? -2/11 What is the closest to -1 in -3, -5, -0.2, 16/19751, 0.2? -0.2 What is the closest to -517 in -0.3, 0.5, 5/4, 1/44, -3, -0.36? -3 Which is the closest to 2/7? (a) -2 (b) -1 (c) 2 (d) -3 (e) -85 (f) -2153 b Which is the nearest to -0.1? (a) 0.3 (b) -15177722 (c) 2/5 a What is the closest to -0.07 in 589.3, 0.2, -13, -3? 0.2 What is the closest to 2 in -7, -21, -0.5, -7202, -3? -0.5 Which is the nearest to -5.6? (a) -1 (b) 4 (c) -2 (d) -2181 c Which is the closest to -0.1? (a) 0.08 (b) -0.73 (c) -145.23 a What is the nearest to -1 in 1/9, -3/466, -136, 2/11? -3/466 What is the closest to -12 in 2/7, -2, 12, -300, -1/9, 1/3? -2 What is the nearest to -0.1 in 1280, 0.05, -4? 0.05 Which is the closest to -1? (a) 0.16 (b) -19/59 (c) 0.1 (d) -0.4 d Which is the nearest to 5991? (a) -3 (b) -1 (c) 3 (d) -804 c What is the nearest to 0 in -2, 3, 0.21, 19624, 0? 0 What is the nearest to 2/53 in 4, -6, 0, 2, -1785? 0 What is the closest to -0.04 in 1, 58, 0.2, -0.01, 79.8? -0.01 Which is the closest to -3/82? (a) -1/8 (b) 701 (c) 2 a Which is the closest to 2/3? (a) 55.4 (b) -617 (c) -4 (d) 3 d What is the nearest to -6 in -3, -94, -0.1, 2282? -3 What is the closest to -139 in -91/6, -21, 0, -3? -21 What is the nearest to -2 in -0.1, -16/5, 5, -5.4? -16/5 Which is the nearest to 1/45? (a) 0.9 (b) -0.5 (c) -508 b What is the nearest to 0 in 10, -19488, 4, 0? 0 Which is the closest to -3? (a) 913 (b) -0.7 (c) -22/5 c Which is the closest to -4828? (a) 3/4 (b) 3/10 (c) 0.014 (d) 0.7 c Which is the closest to 1? (a) 72/1223 (b) -2.3 (c) 4 (d) 3/7 d What is the nearest to 0 in 1.41, -2, -1/567? -1/567 Which is the nearest to -1.6? (a) 2 (b) -3 (c) 0.06997 (d) 13/2 b Which is the nearest to -13? (a) -42725 (b) -4 (c) 8 b What is the nearest to -549 in 0.1, -11, 7, -0.08, -0.3? -11 Which is the closest to -7? (a) -64.77 (b) 0.5 (c) -3 (d) -26 (e) -2/5 c Which is the closest to 350? (a) -1 (b) -0.3 (c) 496 c What is the nearest to -102 in 4/7, 105, 1, -7? -7 What is the closest to -1 in -2/21, -1/10, 1.3, 5/8, 2/3? -1/10 What is the closest to 0.1 in -3, -0.2, 3206, 0.186, 2/9, 4.3? 0.186 What is the nearest to 0 in 2/15, 53.7, 3, -1, 3/17, 6? 2/15 What is the closest to 1 in -27995518, -5, 2? 2 Which is the nearest to -2? (a) -132 (b) -13.424 (c) 2/5 c Which is the closest to -111? (a) -14 (b) 4 (c) -0.04 (d) 2/21 a Which is the nearest to -2.405? (a) 4 (b) 3/11 (c) -2/3 (d) 2 (e) 27/2 (f) 1/9 c What is the closest to 1 in 3104, 0, -3/4, 0.4, 41? 0.4 Which is the closest to 27? (a) -2/97 (b) 1.96 (c) 2 c Which is the closest to 1/3? (a) 1210 (b) -2 (c) 10.9 (d) -1/3 d What is the closest to 0.1 in 1, 38, -5, -38363, 1/6? 1/6 What is the closest to 966 in 0.5, -0.6, -3, 2/7, 19? 19 What is the closest to 35 in 3, -1, -5764.8? 3 Which is the closest to -22? (a) -0.15 (b) 0.4 (c) 1052/9 a What is the nearest to -1/26 in -3/17, -12, 1.25? -3/17 Which is the nearest to -2/5? (a) -2/13 (b) -0.08 (c) -2/5 (d) 0.5 (e) 2/9 (f) 93 c What is the closest to 6 in -1/171297, 0.4, -1, 3? 3 What is the nearest to -231.75 in 0.4, 2/17, -140? -140 Which is the nearest to -10? (a) 0.01 (b) -8 (c) 3 (d) -0.2 (e) -3.1 b What is the closest to -0.1 in -0.24, -20.2752, 1? -0.24 What is the closest to -0.5 in -1, -1/5, 66/89? -1/5 What is the closest to 0.063 in -4.4, -2/5, 0, -152? 0 Which is the closest to 1? (a) -3/8 (b) -1 (c) 0.1 (d) -0.398 (e) 0 c Which is the closest to -4? (a) -2 (b) -60 (c) 1/6 (d) -215 (e) -4.22 e What is the closest to 0 in -1671, -7/6, 0.5, -2? 0.5 What is the nearest to -3 in -251, -645, -17/4? -17/4 What is the closest to -4 in -12, -0.3, 6, 2/22413? -0.3 What is the closest to -2/9 in -52, -1/6, -2, 1384/3, -0.4? -1/6 Which is the nearest to 9358? (a) 5/3 (b) 4 (c) -2 b What is the closest to -83 in -3, -2, -2/419, -27, 4? -27 What is the nearest to -0.1 in -0.03804, 4, 10493, -2/9, -1/8? -1/8 What is the closest to 842938 in -3, 5, 2? 5 Which is the closest to 1? (a) 0.008 (b) 0.5 (c) -2468 (d) -1/7 b What is the nearest to 1 in 179.7, 0, -26/3, -1/6? 0 What is the closest to -1 in 0.2, -3663, 12, -0.3? -0.3 What is the closest to 5 in 16, 0.26, -0.4, -86, 4, 2/21? 4 Which is the nearest to -20? (a) 5 (b) 1531 (c) 17 (d) -0.5 (e) 3 d What is the nearest to 0.1 in 0.4, 246, -3, -0.6, 0? 0 Which is the closest to 0.1? (a) 1 (b) 116/577 (c) -22/39 b Which is the nearest to 0? (a) -2 (b) -31 (c) -3 (d) -1.7 (e) 56 (f) 0 f Which is the closest to 1.8? (a) -82/3 (b) 3/8 (c) -573 b Which is the closest to -3/7? (a) 2/7 (b) -3/14
{ "pile_set_name": "DM Mathematics" }
ns digit of 692890156? 6 What is the millions digit of 74995157? 4 What is the hundred thousands digit of 990400856? 4 What is the tens digit of 13303875? 7 What is the hundred thousands digit of 77633006? 6 What is the ten millions digit of 102438449? 0 What is the ten millions digit of 19624337? 1 What is the ten millions digit of 199638304? 9 What is the millions digit of 3013448? 3 What is the hundred thousands digit of 88512248? 5 What is the tens digit of 514450592? 9 What is the hundreds digit of 991607449? 4 What is the thousands digit of 2159799319? 9 What is the billions digit of 1579389848? 1 What is the billions digit of 8647019183? 8 What is the hundred millions digit of 148740644? 1 What is the thousands digit of 67645397? 5 What is the hundreds digit of 1792722? 7 What is the hundred thousands digit of 6124787204? 7 What is the hundred millions digit of 412515697? 4 What is the ten thousands digit of 1039635785? 3 What is the ten thousands digit of 68456493? 5 What is the units digit of 877206539? 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{ "pile_set_name": "DM Mathematics" }
(k) = 30*k - 7. Let p(s) = -7*l(s) + 6*o(s). Let x(q) = -608*q. Let r(n) = -27*n. Let g(j) = -112*r(j) + 5*x(j). Calculate g(p(z)). 32*z Let b(v) = 108*v**2 + 1. Let m(o) = -1816309*o. Determine b(m(d)). 356289665415948*d**2 + 1 Let g(t) = -9911*t. Let h(d) = -21*d**2 + 4*d + 32. Let b(n) = 26*n**2 - 5*n - 40. Let z(p) = -4*b(p) - 5*h(p). Calculate z(g(w)). 98227921*w**2 Let k(r) = -2*r**2. Let t(i) be the second derivative of 196*i**3 - 1934*i. Give t(k(x)). -2352*x**2 Let m(q) = 486650*q. Let t(b) = -b**2. Determine t(m(r)). -236828222500*r**2 Let q = -73717 - -220252. Let o(f) = f**2 + q*f - 146535*f. Let x(p) = 0*p - 6*p + 0*p. Determine x(o(r)). -6*r**2 Let v(m) = -2*m**2. Let s(y) = 7*y**2 - 8*y - 2. Let o(t) = 15*t**2 - 14*t - 4. Let i be -1 + -1 + -8 + 3. Let h(z) = i*s(z) + 4*o(z). Determine h(v(u)). 44*u**4 - 2 Let r(b) be the second derivative of b**3/6 + 1073*b**2/2 - 802*b. Let s(c) = 6*c. Determine s(r(t)). 6*t + 6438 Let g(u) = 2495335*u. Let v(i) = -2*i. Calculate v(g(q)). -4990670*q Let b(q) = 5*q**2. Let u(v) be the first derivative of 45 + 0*v**2 + 14/3*v**3 + 0*v. Give u(b(i)). 350*i**4 Let j(y) = -653 - 93*y**2 - 656 + 1309. Let a(o) = 34*o. Give a(j(n)). -3162*n**2 Let f(k) be the first derivative of k**3/3 + 1. Let h be 24*3/9 - -8. Let t(u) = -3 - h*u - 9*u + 8*u + 19*u. Give f(t(d)). 4*d**2 - 12*d + 9 Let a(z) = 5176*z - 2586*z - 2584*z. Let x(i) = i**3 - 2*i**2 - 3*i + 2. Let f be x(3). Let v(k) = -f*k + 7*k - 2*k - 2*k. What is v(a(o))? 6*o Let q(w) = 2*w - 43. Let j(s) = 1137*s. Determine j(q(o)). 2274*o - 48891 Let r be 38/(-266) - (5 - (-72)/(-14)). Let j(k) be the first derivative of r*k + 27 + 3/2*k**2. Let c(i) = -12*i. Calculate c(j(g)). -36*g Let z(n) = 49*n. Let c(i) = 17*i**2 + 18*i + 12. Determine z(c(v)). 833*v**2 + 882*v + 588 Let m(t) = 8042017*t**2. Let w(i) = 2*i**2. Give m(w(a)). 32168068*a**4 Let p(z) be the first derivative of -41*z**4/12 - 14*z - 81. Let n(r) be the first derivative of p(r). Let h(d) = d**2. Give h(n(a)). 1681*a**4 Let n(h) = -10*h - 22. Let r(k) = 22*k**2 + 104*k - 2. Determine r(n(b)). 2200*b**2 + 8640*b + 8358 Let p(b) = -8*b - 7. Let w be p(-2). Let q(k) = -4*k + w*k - 21*k. Let u(t) = t. Calculate q(u(s)). -16*s Let p(s) = 2*s. Let l(h) be the first derivative of 0*h - 8 + 8*h**2 + 0*h**3 + 1/12*h**4. Let b(f) be the second derivative of l(f). What is b(p(w))? 4*w Let w(s) = -88*s + 37*s**2 + 36*s + 31*s + 17*s. Let h(t) = 8*t**2. What is w(h(d))? 2368*d**4 - 32*d**2 Let k(h) = -20666635*h + 20666635*h + h**2. Let u(i) = 2*i - 224. Give k(u(s)). 4*s**2 - 896*s + 50176 Let w(s) be the first derivative of -s**3/3 + 16*s**2 - 111. Let m(v) = 105*v. What is m(w(y))? -105*y**2 + 3360*y Let k(b) = -57*b**2 - 6. Let v(c) = -c + 2260. What is v(k(l))? 57*l**2 + 2266 Let j(m) = 1145546*m. Let n(y) = -2*y + 40. Calculate n(j(s)). -2291092*s + 40 Let l(x) = 293262*x. Let j(o) = 8*o + 2. Calculate l(j(c)). 2346096*c + 586524 Let k(p) = 189*p**2 + 16336*p - 8168*p - 8168*p + 451*p**2. Let c(r) = 2*r**2. What is k(c(a))? 2560*a**4 Let d(j) = j**2 - 86*j - 805. Let q(x) = -22*x. Give q(d(w)). -22*w**2 + 1892*w + 17710 Let y(o) = -26*o - 8*o + 5 + 47*o - 5. Let s(c) = 2*c**2 + 57. Determine s(y(r)). 338*r**2 + 57 Let m(h) = 0*h**2 - 2900*h - 147 - h**2 + 2900*h. Let t(r) = -2*r**2. What is m(t(l))? -4*l**4 - 147 Let y(x) = -557816*x**2. Let r(n) = -7*n. What is r(y(m))? 3904712*m**2 Let c(q) = 5*q. Let v(j) be the first derivative of 0*j + 1/8*j**4 + 1 + 0*j**3 - 5/2*j**2. Let k(y) be the second derivative of v(y). Give k(c(x)). 15*x Let o(d) = -14*d**2 + 4*d + 2. Let x(b) = -70*b**2 + 22*b + 11. Let m(q) = -11*o(q) + 2*x(q). Let k(v) be the first derivative of v**2 - 5. Determine m(k(h)). 56*h**2 Let w(z) be the second derivative of -49*z**4/12 - 659*z. Let j(h) = 45*h. What is j(w(d))? -2205*d**2 Let p(c) = -30*c**2 - 2*c - 3. Let n be p(-1). Let d = -15 - n. Let f(l) = d*l - 9*l - 6*l. Let u(a) = -2*a**2. Determine u(f(o)). -2*o**2 Let w(h) = 1284*h**2. Let p(t) = 0*t**2 - 7549894 + 7549894 - 2*t**2. Give w(p(d)). 5136*d**4 Let t(f) = 2*f**2 + 8*f + 1. Let h(y) = -1905*y**2 - 6096*y - 762. Let x(b) = h(b) + 762*t(b). Let m(n) = 5*n. Calculate m(x(z)). -1905*z**2 Let h(o) = -4127*o. Let k(f) = 29*f + 11. Calculate k(h(v)). -119683*v + 11 Let q(b) = -6*b. Let c(s) be the first derivative of 0*s - 9/2*s**2 + 156. Calculate q(c(m)). 54*m Let f(q) = 2*q**2 - 39. Let h(c) = -678511*c. Give h(f(r)). -1357022*r**2 + 26461929 Let m(v) = 47*v**2. Let q(u) be the second derivative of -u**4/6 + 4*u + 96. Calculate m(q(k)). 188*k**4 Let p = 18799 + -18799. Let t(r) be the first derivative of 2/3*r**3 + 0*r + p*r**2 + 19. Let n(f) = -6*f. Give n(t(z)). -12*z**2 Let g(i) = -34612327*i + 1. Let d(b) = 2*b. Give d(g(x)). -69224654*x + 2 Let k(t) = t**2 + 8*t. Let f(o) be the first derivative of -o**2 + 61*o - 8087. Calculate f(k(u)). -2*u**2 - 16*u + 61 Let b(c) = 7*c**2 + 27. Let l(x) = x**2 + 3. Let d(w) = -b(w) + 9*l(w). Let g(a) = 17*a. Give d(g(f)). 578*f**2 Let x(c) = 75151973*c. Let d(z) = -2*z**2. Give x(d(t)). -150303946*t**2 Let z(c) = -5*c**2. Let v = 763 + -529. Let s(p) = -12*p**2 + 234*p - v*p + 8*p**2. Give z(s(t)). -80*t**4 Let b(w) = -16*w. Let d(i) = 9*i**2 - 6*i. Let x(c) = -6*c**2 - 4*c**2 + 7*c + 0*c**2. Let s(v) = -7*d(v) - 6*x(v). Determine s(b(f)). -768*f**2 Let h(v) be the first derivative of 0*v + 11/2*v**2 + 8. Let y(q) = -14*q. Calculate y(h(m)). -154*m Let u(k) = -1687 + 836 - 12*k**2 + 851. Let t(h) = -2*h**2 - 97. Give u(t(w)). -48*w**4 - 4656*w**2 - 112908 Let d(k) = -k. Let h(p) be the third derivative of 13*p**7/1260 + 55*p**4/24 + 44*p**2 + 2. Let c(x) be the second derivative of h(x). Give c(d(q)). 26*q**2 Let n(j) = -104*j. Let i(l) = 6*l**2 - 18*l. Let v(a) = -12*a**2 + 45*a. Let k(w) = -5*i(w) - 2*v(w). Give k(n(b)). -64896*b**2 Let s(j) = j. Let d(y) = -4*y**2 - 84. Let i(u) = 6*u**2 + 126. Let p = 87 + -95. Let w(x) = p*d(x) - 5*i(x). What is s(w(g))? 2*g**2 + 42 Let a(b) be the third derivative of 0 + 1/8*b**4 + 0*b**3 + 5*b**2 + 0*b. Let r(p) = -35*p + 6. Let u(s) = 5*s - 1. Let q(z) = -r(z) - 6*u(z). What is a(q(l))? 15*l Let j(i) = -4067*i. Let r(z) = -514*z. What is r(j(q))? 2090438*q Let r(i) = 3*i**2. Let x(c) = -15*c**2 + 37 - 125 + 74. Determine x(r(n)). -135*n**4 - 14 Let v(o) = o**2. Let l(k) = -39*k**2 + 4*k + 4. Let j(t) = t**2 + t. Let f(g) = -4*j(g) + l(g). Let c(p) = f(p) + 6*v(p). Let u(y) = -y. What is u(c(r))? 37*r**2 - 4 Let r(o) = -162 - 434*o + 181 + 72*o + 103*o + 131*o. Let m(u) = u**2. Give m(r(q)). 16384*q**2 - 4864*q + 361 Let y(b) = 67*b**2. Let u(l) = -9*l + 58. Let r(n) = 16*n - 105. Let p(d) = 6*r(d) + 11*u(d). Calculate y(p(f)). 603*f**2 - 3216*f + 4288 Let m(z) = 6311*z**2. Let r(k) = 627 + 3*k + 600 - 1227. What is r(m(x))? 18933*x**2 Let b(y) = 4*y**2 + 10*y + 5. Let u(v) = v**2 + 2*v + 1. Let q(z) = b(z) - 5*u(z). Let a(n) = 2110*n**2. Determine a(q(s)). 2110*s**4 Let n(b) be the third derivative of b**5/60 + 7*b**3/3 + 17190*b**2. Let v(a) = a - 1. Let w(y) = 7*y - 5. Let c(i) = -5*v(i) + w(i). Give c(n(h)). 2*h**2 + 28 Let r(f) = -192*f + 1. Let w(q) = -152105*q. Calculate r(w(i)). 29204160*i + 1 Let s(q) = -11*q. Let r(a) = 4*a - 2 + 5*a - 5. Let x(w) = 87 + 4*w + 2*w - 90 - 3*w + w. Let m(f) = -6*r(f) + 14*x(f). Calculate s(m(c)). -22*c Let w(d) = -3*d. Let s(o) = -150*o**2 + 6*o - 12. Let p(v) = -143*v**2 + 5*v - 10. Let r(k) = -6*p(k) + 5*s(k). Determine w(r(t)). -324*t**2 Let p(k) = -17957*k**2 + 14*k. Let f(x) = -544*x. What is f(p(d))? 9768608*d**2 - 7616*d Let k(o) = -10*o**2. Let v(x) = 12 - 11821*x**2 - 13 + 11826*x**2. Calculate k(v(h)). -250*h**4 + 100*h**2 - 10 Let o(u) = -31*u**2. Let y = 49 - 49. Let b(d) = -3*d**2 + y*d**2 - 2*d**2 + 2*d**2. Determine b(o(n)). -2883*n**4 Let s(g) be the second derivative of 294*g**4 - 3*g + 127. Let p(z) = -z**2. Give s(p(n)). 3528*n**4 Let u(p) = 22*p**2 - 2437*p - 8. Let v(t) = -2*t + 8. Determine u(v(j)). 88*j**2 + 4170*j - 18096 Let a(z) be the third derivative of 41*z**4/4 + z**3/3 - 2297*z**2. Let q(w) = -7*w. Give q(a(d)). -1722*d - 14 Let t(u) = -10651*u**2. Let y(c) be the third derivative of c**5/30 + 2*c**2 + 1408*c + 1. Give t(y(d)). -42604*d**4 Let o(s) = 145*s
{ "pile_set_name": "DM Mathematics" }
tor -i**3/4 - 205*i**2/4 - 10403*i/4 + 10609/4. -(i - 1)*(i + 103)**2/4 Factor 4*o**3 + 480*o**2 + 19200*o + 256000. 4*(o + 40)**3 Factor 5*f**3 - 830*f**2 - 4305*f + 5130. 5*(f - 171)*(f - 1)*(f + 6) What is m in -m**2/4 + 15*m/4 + 17/2 = 0? -2, 17 Find j, given that -80*j**3/3 - 680*j**2/3 + 355*j/3 - 15 = 0. -9, 1/4 What is v in -2*v**4/7 - 2*v**3 - 32*v**2/7 - 24*v/7 = 0? -3, -2, 0 Factor m**3/12 + 7*m**2/12 + m/2. m*(m + 1)*(m + 6)/12 Determine o, given that o**5 - 8*o**4 + 18*o**3 - 4*o**2 - 19*o + 12 = 0. -1, 1, 3, 4 Find c, given that 4*c**2 - 48*c - 880 = 0. -10, 22 Let v**4/8 - 9*v**3/4 - 19*v**2/8 = 0. Calculate v. -1, 0, 19 Factor m**5 + 12*m**4 + 53*m**3 + 110*m**2 + 108*m + 40. (m + 1)*(m + 2)**3*(m + 5) Suppose -3*i**2 - 3114*i - 808083 = 0. Calculate i. -519 Factor -4*i**2 + 108*i + 6496. -4*(i - 56)*(i + 29) Factor q**3/5 + 247*q**2/5. q**2*(q + 247)/5 Let 2*p**2/9 + 140*p/3 + 272 = 0. What is p? -204, -6 Factor -3*f**3/4 - 3*f**2 + 21*f/4 + 15/2. -3*(f - 2)*(f + 1)*(f + 5)/4 Factor 4*u**4 - 208*u**3 + 3456*u**2 - 15552*u - 46656. 4*(u - 18)**3*(u + 2) Let -12*t**5/5 - 165*t**4 - 4437*t**3/5 - 5691*t**2/5 - 1311*t/5 + 756/5 = 0. What is t? -63, -4, -1, 1/4 What is l in -l**3/6 - 5371*l**2/6 - 2404865*l/2 - 2403075/2 = 0? -2685, -1 Solve -x**3/3 - 44*x**2/3 - 183*x - 702 = 0 for x. -26, -9 What is l in l**2/3 - 49*l/3 + 46 = 0? 3, 46 Solve 2*q**3/9 + 4*q**2 + 58*q/3 + 140/9 = 0 for q. -10, -7, -1 Find c such that 5*c**3 + 85*c**2 - 20*c - 340 = 0. -17, -2, 2 Factor d**3/3 - 83*d**2/3 + 80*d. d*(d - 80)*(d - 3)/3 Let -5*v**3/3 + 70*v**2/3 - 305*v/3 + 140 = 0. Calculate v. 3, 4, 7 Suppose 2*z**4/3 + 172*z**3/21 - 54*z**2/7 - 424*z/21 - 104/21 = 0. What is z? -13, -1, -2/7, 2 Factor -4*f**2 + 696*f - 30276. -4*(f - 87)**2 Factor 2*g**2/5 - 88*g/5 - 282/5. 2*(g - 47)*(g + 3)/5 Factor 3*c**4 + 171*c**3 + 2520*c**2 + 2352*c. 3*c*(c + 1)*(c + 28)**2 Factor -2*l**2/5 - 462*l/5. -2*l*(l + 231)/5 Solve -2*d**2/5 + 2604*d/5 - 847602/5 = 0 for d. 651 Let -k**4 - 42*k**3 + 248*k**2 + 618*k + 329 = 0. What is k? -47, -1, 7 Factor 2*b**2/3 + 46*b - 140/3. 2*(b - 1)*(b + 70)/3 Factor -3*o**2/2 + 3*o + 9/2. -3*(o - 3)*(o + 1)/2 Solve 2*w**4/9 + 28*w**3/9 - 62*w**2/9 + 32*w/9 = 0 for w. -16, 0, 1 Suppose 15*m**4/8 - 9*m**3/2 + 3*m**2/2 = 0. What is m? 0, 2/5, 2 Factor -q**2 + 1050*q - 275625. -(q - 525)**2 Let -5*f**5 - 60*f**4 - 270*f**3 - 560*f**2 - 525*f - 180 = 0. Calculate f. -4, -3, -1 Suppose -k**2/2 - 510*k + 1021/2 = 0. What is k? -1021, 1 Factor q**3/8 - 191*q**2/4 + 761*q/8 - 95/2. (q - 380)*(q - 1)**2/8 Determine v so that -2*v**2/15 + 12*v/5 + 16/3 = 0. -2, 20 Determine w so that 2*w**4/5 + 6*w**3 + 158*w**2/5 + 66*w + 40 = 0. -5, -4, -1 Let 9*u**4 + 5385*u**3 + 12532*u**2 + 9540*u + 2384 = 0. Calculate u. -596, -1, -2/3 Let 112*g**3 - 22236*g**2 + 11888*g - 1584 = 0. What is g? 1/4, 2/7, 198 Factor -r**3/2 - r**2 + 19*r/2 + 10. -(r - 4)*(r + 1)*(r + 5)/2 Find b such that -844*b**2/3 - 836*b/3 + 8/3 = 0. -1, 2/211 Suppose -5*v**4/6 + 17*v**3/6 + 13*v**2/2 + 7*v/6 - 5/3 = 0. Calculate v. -1, 2/5, 5 Factor i**2. i**2 Suppose 9*j**2/4 - 49*j/2 = 0. Calculate j. 0, 98/9 Solve 3*m**2 + 414*m - 1269 = 0. -141, 3 Determine r so that 64*r**3 + 500*r**2 + 672*r - 144 = 0. -6, -2, 3/16 Factor q**3 - 174*q**2 + 7905*q - 28900. (q - 85)**2*(q - 4) Factor t**2/2 - 2133*t + 4549689/2. (t - 2133)**2/2 Solve -4*s**3 + 208*s**2 - 2704*s = 0. 0, 26 Suppose -h**2 + 15*h - 50 = 0. What is h? 5, 10 Solve 2*a**2 + 48*a + 46 = 0 for a. -23, -1 What is r in 5*r**4 + 165*r**3 - 530*r**2 + 360*r = 0? -36, 0, 1, 2 Factor -q**3/4 + 17*q**2/4 - 4*q. -q*(q - 16)*(q - 1)/4 Factor -2*d**2/5 + 96*d - 5760. -2*(d - 120)**2/5 Find v, given that v**4 + 22*v**3 - 47*v**2 + 24*v = 0. -24, 0, 1 Solve -16*q**4/11 + 106*q**3/11 - 162*q**2/11 - 76*q/11 + 208/11 = 0 for q. -1, 13/8, 2, 4 Determine i, given that -105*i**5 - 1150*i**4 - 3540*i**3 - 2600*i**2 - 480*i = 0. -6, -4, -2/3, -2/7, 0 Suppose 4*l**4 - 376*l**3 + 9200*l**2 - 16928*l = 0. Calculate l. 0, 2, 46 Factor -5*n**3 + 200*n**2 + 415*n + 210. -5*(n - 42)*(n + 1)**2 Factor y**3 - 40*y**2 - 43*y + 82. (y - 41)*(y - 1)*(y + 2) Let -2*t**2/7 + 16*t + 232/7 = 0. What is t? -2, 58 Solve 4*s**3 - 408*s**2 + 12144*s - 84640 = 0 for s. 10, 46 Let 2*v**2/3 - 416*v/3 + 21632/3 = 0. Calculate v. 104 Find g, given that g**5/4 - 23*g**4/4 + 28*g**3 + 54*g**2 - 324*g - 540 = 0. -2, 6, 15 Factor -a**4/6 + 41*a**3/3 - 378*a**2 + 3645*a - 6561/2. -(a - 27)**3*(a - 1)/6 Factor 76*a**3 + 156*a**2 + 84*a + 4. 4*(a + 1)**2*(19*a + 1) Suppose -128*k**2/17 + 96*k/17 - 18/17 = 0. Calculate k. 3/8 Let b**3/8 + 2*b**2 + 21*b/2 + 18 = 0. Calculate b. -6, -4 Factor -2*c**2/17 + 104*c/17. -2*c*(c - 52)/17 Let -48*l**4 + 148*l**3 + 88*l**2 - 148*l - 40 = 0. Calculate l. -1, -1/4, 1, 10/3 Factor -5*t**4 - 5710*t**3 - 2177400*t**2 - 278692000*t - 548720000. -5*(t + 2)*(t + 380)**3 Factor -4*j**3 + 44*j**2 - 128*j + 112. -4*(j - 7)*(j - 2)**2 Let -c**2/3 - 35*c/3 - 124/3 = 0. Calculate c. -31, -4 Find o such that -3*o**3/5 + 45*o + 150 = 0. -5, 10 Let -4*o**2 + 10632*o + 10636 = 0. Calculate o. -1, 2659 Suppose -2*u**2/5 - 4016*u - 10080160 = 0. Calculate u. -5020 Determine i, given that 87*i**2/7 - 474*i + 456/7 = 0. 4/29, 38 Factor 5*l**3 - 55*l**2 + 170*l - 120. 5*(l - 6)*(l - 4)*(l - 1) Factor -2*a**3 + 3102*a**2 - 3100*a. -2*a*(a - 1550)*(a - 1) What is h in 2*h**2 - 16*h = 0? 0, 8 Find x, given that -80*x**4 + 280*x**3 - 85*x**2 - 100*x - 15 = 0. -1/4, 1, 3 Determine x so that -2*x**4/9 + 80*x**3/9 - 50*x**2/3 - 80*x/9 + 152/9 = 0. -1, 1, 2, 38 Factor -2*z**2/11 + 882/11. -2*(z - 21)*(z + 21)/11 Factor 2*d**4/5 - 154*d**3/5 - 164*d**2. 2*d**2*(d - 82)*(d + 5)/5 Factor -2*c**4 - 8*c**3 - 2*c**2 + 12*c. -2*c*(c - 1)*(c + 2)*(c + 3) Determine m so that m**2 + 1144*m + 327184 = 0. -572 Factor h**3/3 - 19*h**2/3 - 200*h/3 - 144. (h - 27)*(h + 4)**2/3 Factor 2*f**2/13 + 20*f/13 + 50/13. 2*(f + 5)**2/13 What is k in -k**2 + 118*k - 117 = 0? 1, 117 Factor -c**2 + 180*c. -c*(c - 180) Solve 3*q**2/7 - 27*q = 0. 0, 63 Find h such that -2*h**4 + 134*h**3 - 3036*h**2 + 24200*h - 21296 = 0. 1, 22 Determine s so that s**2/3 + 11*s/3 + 6 = 0. -9, -2 Solve -5*v**3 + 3255*v**2 + 13085*v + 9825 = 0. -3, -1, 655 Determine a, given that 5*a**5 - 40*a**4 + 20*a**3 + 130*a**2 - 185*a + 70 = 0. -2, 1, 7 Factor 2*v**3/11 + 62*v**2/11 + 310*v/11 + 250/11. 2*(v + 1)*(v + 5)*(v + 25)/11 Let t**5 + 19*t**4/2 + 27*t**3 + 16*t**2 - 16*t = 0. What is t? -4, -2, 0, 1/2 Factor m**2/2 - 1503*m + 2259009/2. (m - 1503)**2/2 Suppose -25*n**5 - 35*n**4 + 90*n**3 + 140*n**2 + 40*n = 0. What is n? -2, -1, -2/5, 0, 2 Factor -t**2/4 - 1155*t/2 - 2309/4. -(t + 1)*(t + 2309)/4 Factor -v**3 + 72*v**2 - 141*v + 70. -(v - 70)*(v - 1)**2 Find f such that f**2 - 126*f + 3969 = 0. 63 Factor -4*l**3 - 288*l**2 - 6912*l - 55296. -4*(l + 24)**3 Factor v**4/3 + 10*v**3 + 75*v**2. v**2*(v + 15)**2/3 Solve n**5/5 + 7*n**4/5 + 11*n**3/5 - 7*n**2/5 - 12*n/5 = 0. -4, -3, -1, 0, 1 Solve -2*f**4/13 + 8*f**3/13 + 8*f**2/13 - 32*f/13 = 0 for f. -2, 0, 2, 4 Factor 2*v**3 + 82*v**2 + 302*v + 222. 2*(v + 1)*(v + 3)*(v + 37) Suppose -2*m**5/13 + 64*m**4/13 - 444*m**3/13 - 1088*m**2/13 - 578*m/13 = 0. What is m? -1, 0, 17 Suppose 5*i**2 - 220*i = 0. Calculate i. 0, 44 Factor 10*x**2 - 816*x - 328. 2*(x - 82)*(5*x + 2) Determine w so that 9*w**5 - 69*w**4 - 258*w**3 + 1434*w**2 + 4473*w + 1323 = 0. -3, -1/3, 7 Let -4*p**4/9 - 16*p**3/9 + 28*p**2/9 + 40*p/9 = 0. What is p? -5, -1, 0, 2 Determine z, given that -2*z**4 + 30*z**3 + 370*z**2 - 30*z - 368 = 0. -8, -1, 1, 23 Factor -f**3 + 17*f**2 - 76*f + 60. -(f - 10)*(f - 6)*(f - 1) Factor 4*b**4 + 368*b**3 + 8524*b**2 + 8160*b. 4*b*(b + 1)*(b + 40)*(b + 51) Suppose d**3/2 + d**2 - 3*d/2 = 0. Calculate d. -3, 0, 1 Factor x**2/3 + 2*x/3 - 8. (x - 4)*(x + 6)/3 Solve b**5/3 - 32*b**4/3 + 256*b**3/3 = 0. 0, 16 Determine g, given that -4*g**3 - 84*g**2 - 476*g - 396 = 0. -11, -9, -1 Factor 5*u**2 - 135*u. 5*u*(u - 27) Let -2*v**3/9 - 16*v**2/9 - 22*v/9 + 40/9 = 0. What is v? -5, -4, 1 Factor 2*f**3/9 + 10*f**2/9 - 16*f/3. 2*f*(f - 3)*(f + 8)/9 Find x such that 3*x**3/4 - 5649*x**2/4 + 664110*x + 665523 = 0. -1, 942 Factor -25*t**2 + 1255*t + 2340. -5*(t - 52)*(5*
{ "pile_set_name": "DM Mathematics" }
are there in 55/4 of a millisecond? 13750 What is seven quarters of a millennium in months? 21000 Convert 10314.89424 nanoseconds to weeks. 0.00000000001705505 Convert 1.637176m to kilometers. 0.001637176 What is 6/5 of a decade in months? 144 Convert 24522.08 milligrams to tonnes. 0.00002452208 How many tonnes are there in 3531.98 milligrams? 0.00000353198 How many milligrams are there in 886215.4ug? 886.2154 How many micrometers are there in 29/5 of a millimeter? 5800 How many centuries are there in 1.4249616 months? 0.001187468 How many millimeters are there in fourty-nine quarters of a meter? 12250 How many months are there in eleven quarters of a decade? 330 Convert 20981.44 tonnes to micrograms. 20981440000000000 How many micrograms are there in 3/50 of a gram? 60000 What is 0.0692623 millimeters in kilometers? 0.0000000692623 How many milligrams are there in 98383.06ng? 0.09838306 How many weeks are there in 561025.08 minutes? 55.65725 What is 8/3 of a hour in seconds? 9600 How many milliseconds are there in 3/25 of a second? 120 How many minutes are there in four thirds of a hour? 80 Convert 70.116237 milliseconds to hours. 0.0000194767325 How many millilitres are there in eleven quarters of a litre? 2750 What is twenty-nine halves of a litre in millilitres? 14500 How many millilitres are there in twenty-five quarters of a litre? 6250 What is 61/2 of a litre in millilitres? 30500 What is 0.0174695 kilograms in nanograms? 17469500000 How many years are there in eighty-one halves of a millennium? 40500 What is three eighths of a litre in millilitres? 375 What is 0.5719367 micrometers in kilometers? 0.0000000005719367 What is 148214.97 months in decades? 1235.12475 What is 21/4 of a microsecond in nanoseconds? 5250 What is 5/8 of a kilometer in centimeters? 62500 What is fourty-eight fifths of a millennium in centuries? 96 How many micrograms are there in 27/5 of a milligram? 5400 How many millilitres are there in one fifth of a litre? 200 How many hours are there in 5813.0208 seconds? 1.614728 How many months are there in seventeen halves of a century? 10200 What is 58.55768 micrometers in meters? 0.00005855768 How many micrograms are there in 536271.9g? 536271900000 How many litres are there in 94380.52ml? 94.38052 How many months are there in thirteen quarters of a millennium? 39000 How many millilitres are there in 3/40 of a litre? 75 How many months are there in seven quarters of a year? 21 What is fourty-two fifths of a kilometer in meters? 8400 How many millimeters are there in 25/4 of a meter? 6250 What is 45/4 of a day in minutes? 16200 How many millimeters are there in 45/2 of a centimeter? 225 Convert 85175.26 milligrams to tonnes. 0.00008517526 How many seconds are there in 2/75 of a day? 2304 Convert 700455.7 millilitres to litres. 700.4557 What is fifty-five quarters of a millennium in years? 13750 What is seven thirds of a decade in months? 280 How many litres are there in 70.44699ml? 0.07044699 How many milliseconds are there in twenty-three eighths of a second? 2875 What is 20477.148 months in years? 1706.429 What is 0.5100411m in millimeters? 510.0411 What is seven quarters of a decade in months? 210 How many minutes are there in 37.0086 microseconds? 0.00000061681 Convert 94.44149km to centimeters. 9444149 Convert 59515.61 litres to millilitres. 59515610 How many kilograms are there in three eighths of a tonne? 375 How many years are there in fifty-seven fifths of a decade? 114 How many millilitres are there in 3/8 of a litre? 375 What is one twentieth of a gram in milligrams? 50 How many kilograms are there in thirty-one halves of a tonne? 15500 What is 32/5 of a meter in millimeters? 6400 What is 0.259028 weeks in hours? 43.516704 What is 27/4 of a litre in millilitres? 6750 How many millimeters are there in 11/10 of a centimeter? 11 How many millilitres are there in 74789.91 litres? 74789910 How many millimeters are there in 5/4 of a meter? 1250 What is 1/20 of a gram in milligrams? 50 What is twenty-one eighths of a millimeter in micrometers? 2625 How many months are there in 23/3 of a century? 9200 How many micrometers are there in 41/2 of a millimeter? 20500 How many hours are there in four thirds of a day? 32 How many nanograms are there in 0.0323754mg? 32375.4 What is 42/5 of a litre in millilitres? 8400 What is 0.7871704nm in millimeters? 0.0000007871704 How many milliseconds are there in 41924.94 weeks? 25356203712000 What is thirty-four fifths of a litre in millilitres? 6800 What is 0.2691396 micrograms in grams? 0.0000002691396 What is 97.55586 tonnes in milligrams? 97555860000 How many grams are there in 39.94882 nanograms? 0.00000003994882 How many seconds are there in 5/6 of a hour? 3000 How many millilitres are there in fifteen quarters of a litre? 3750 What is 86.84336 decades in years? 868.4336 What is five quarters of a century in months? 1500 What is twenty-five halves of a litre in millilitres? 12500 What is 1/16 of a gram in micrograms? 62500 How many minutes are there in fourty-three quarters of a day? 15480 How many hours are there in ten sevenths of a week? 240 Convert 0.9641627t to grams. 964162.7 What is 708.7135 years in centuries? 7.087135 What is 740.2479 tonnes in nanograms? 740247900000000000 What is 97.33017ml in litres? 0.09733017 How many kilograms are there in 43/2 of a tonne? 21500 What is 1/30 of a day in minutes? 48 How many weeks are there in 19.5944112 hours? 0.1166334 What is 5.289674l in millilitres? 5289.674 What is 45/4 of a litre in millilitres? 11250 How many nanoseconds are there in 3/5 of a microsecond? 600 How many seconds are there in seven sixteenths of a hour? 1575 Convert 428.7216 months to centuries. 0.357268 How many litres are there in 0.6427843 millilitres? 0.0006427843 How many years are there in 1/10 of a decade? 1 How many nanograms are there in thirteen quarters of a microgram? 3250 What is 18297.882 seconds in minutes? 304.9647 What is seventy-four fifths of a litre in millilitres? 14800 How many millimeters are there in thirty-four fifths of a centimeter? 68 What is 7/2 of a millennium in decades? 350 What is 0.1103984m in nanometers? 110398400 What is 63453.1 decades in years? 634531 What is 27/2 of a litre in millilitres? 13500 What is seventy-four fifths of a litre in millilitres? 14800 How many nanograms are there in 1/4 of a microgram? 250 What is 1/4 of a tonne in kilograms? 250 How many nanometers are there in 155635.6mm? 155635600000 What is 1.778306km in meters? 1778.306 What is 0.1537435s in milliseconds? 153.7435 How many hours are there in 523266.4 weeks? 87908755.2 What is 1/4 of a tonne in kilograms? 250 What is fourty-six fifths of a century in months? 11040 How many kilograms are there in 61/2 of a tonne? 30500 What is one quarter of a litre in millilitres? 250 How many years are there in 29/2 of a millennium? 14500 Convert 5.523477 tonnes to grams. 5523477 How many years are there in 0.0137288 millennia? 13.7288 What is eleven quarters of a gram in milligrams? 2750 How many millilitres are there in sixty-one halves of a litre? 30500 What is 12/25 of a litre in millilitres? 480 How many nanometers are there in 18.14347 centimeters? 181434700 What is 121915.08s in minutes? 2031.918 What is 3/40 of a millimeter in nanometers? 75000 What is 733494.51 minutes in weeks? 72.7673125 What is 3/5 of a millisecond in microseconds? 600 What is 39767.79l in millilitres? 39767790 How many millilitres are there in 310.6033l? 310603.3 How many micrometers are there in 24773.59 meters? 24773590000 How many minutes are there in 9276.649 days? 13358374.56 Convert 0.3330068ng to milligrams. 0.0000003330068 How many hours are there in seven halves of a day? 84 How many micrograms are there in five eighths of a milligram? 625 Convert 0.6849192 micrograms to milligrams. 0.0006849192 How many millilitres are there in 3/10 of a litre? 300 How many litres are there in 773105.4 millilitres? 773.1054 What is 223579.7m in micrometers? 223579700000 What is 1563738.6 months in years? 130311.55 What is one sixteenth of a kilogram in milligrams? 62500 What is twenty-nine sixths of a hour in minutes? 290 What is fifty-two fifths of a hour in minutes? 624 How many mete
{ "pile_set_name": "DM Mathematics" }
sequence xmea. 1/420 What is prob of sequence lljy when four letters picked without replacement from {y: 7, l: 5, j: 1}? 7/858 Calculate prob of sequence sqsq when four letters picked without replacement from qqsqssqssssssqsssss. 455/11628 What is prob of sequence jhj when three letters picked without replacement from {k: 1, z: 1, h: 1, i: 1, d: 1, j: 2}? 1/105 What is prob of sequence qsqz when four letters picked without replacement from qszzdzdqdz? 1/630 Four letters picked without replacement from {g: 1, o: 5, p: 1, d: 3, s: 2, y: 1}. What is prob of sequence pygs? 1/8580 What is prob of sequence auua when four letters picked without replacement from aaaaaauuaaa? 1/55 What is prob of sequence pp when two letters picked without replacement from pkpppkppkpkkppkmpkkk? 9/38 What is prob of sequence hfvh when four letters picked without replacement from vfffvhfvvvfhfff? 2/819 Three letters picked without replacement from rsrsrrsrrrr. What is prob of sequence srr? 28/165 Four letters picked without replacement from jvvjjjjjjvjj. What is prob of sequence vvvj? 1/220 What is prob of sequence sww when three letters picked without replacement from swswsswwswww? 7/44 What is prob of sequence gww when three letters picked without replacement from gmwwmgggwpmwd? 4/143 Three letters picked without replacement from {v: 1, p: 2, e: 2}. What is prob of sequence ppv? 1/30 Calculate prob of sequence gi when two letters picked without replacement from {g: 1, u: 1, r: 1, f: 2, h: 1, i: 2}. 1/28 Calculate prob of sequence ljp when three letters picked without replacement from {l: 1, j: 2, p: 1, t: 3}. 1/105 Four letters picked without replacement from mmmzmzmmmmzmmmmmmm. Give prob of sequence mmzz. 7/408 Calculate prob of sequence eyk when three letters picked without replacement from {y: 3, o: 10, e: 1, k: 2, t: 1}. 1/680 Three letters picked without replacement from cckcchkvcvvckk. What is prob of sequence hvk? 1/182 Two letters picked without replacement from wuwabur. Give prob of sequence ua. 1/21 What is prob of sequence qqrw when four letters picked without replacement from rrrwwwrrrrqrrqqq? 27/3640 Three letters picked without replacement from {e: 7, a: 5, g: 1}. Give prob of sequence ege. 7/286 Calculate prob of sequence ae when two letters picked without replacement from {a: 5, i: 1, r: 3, t: 5, e: 5}. 25/342 What is prob of sequence vvyf when four letters picked without replacement from vvvvvgvvyyvvvvggfvvy? 13/3230 Three letters picked without replacement from ttxtnxjttttjxjjjtt. Give prob of sequence jxj. 5/408 Calculate prob of sequence wk when two letters picked without replacement from wkmwwte. 1/14 Four letters picked without replacement from {v: 8, d: 5}. Give prob of sequence vdvv. 14/143 Four letters picked without replacement from {e: 7, o: 2}. Give prob of sequence ooee. 1/36 Two letters picked without replacement from rrpe. Give prob of sequence re. 1/6 Calculate prob of sequence sssg when four letters picked without replacement from tssgsmh. 1/140 Calculate prob of sequence ooov when four letters picked without replacement from {w: 4, o: 4, b: 2, v: 1}. 1/330 Two letters picked without replacement from xxeeeexxea. What is prob of sequence ea? 1/18 What is prob of sequence hg when two letters picked without replacement from {p: 1, g: 1, v: 1, h: 6}? 1/12 What is prob of sequence ch when two letters picked without replacement from {h: 1, c: 19}? 1/20 What is prob of sequence owq when three letters picked without replacement from {w: 5, o: 3, q: 3}? 1/22 Calculate prob of sequence wiyx when four letters picked without replacement from {e: 2, i: 3, y: 2, w: 2, x: 4}. 2/715 Three letters picked without replacement from etueueu. What is prob of sequence tee? 1/35 Two letters picked without replacement from {q: 1, n: 1, v: 1, l: 1, r: 1, s: 2}. What is prob of sequence ns? 1/21 Calculate prob of sequence rf when two letters picked without replacement from {f: 1, r: 3}. 1/4 Calculate prob of sequence miv when three letters picked without replacement from vmfixyxxxyfyfmm. 1/910 Four letters picked without replacement from bvbjbjnnvnnnb. What is prob of sequence nnjv? 2/429 Calculate prob of sequence abp when three letters picked without replacement from {k: 2, p: 1, b: 3, s: 1, a: 1, d: 4}. 1/440 Calculate prob of sequence fq when two letters picked without replacement from {o: 2, t: 2, h: 1, f: 1, q: 1}. 1/42 Two letters picked without replacement from yllyeeloozlyllzly. What is prob of sequence ee? 1/136 Two letters picked without replacement from {c: 5, a: 2, r: 4}. What is prob of sequence ar? 4/55 Four letters picked without replacement from baxdxadaddbkfddbx. Give prob of sequence xaax. 3/4760 Calculate prob of sequence eses when four letters picked without replacement from sslllkmssesslssmmme. 7/5814 Calculate prob of sequence gzgv when four letters picked without replacement from hfghzgev. 1/840 Three letters picked without replacement from oyyy. Give prob of sequence oyy. 1/4 Three letters picked without replacement from bammaatbt. Give prob of sequence mmt. 1/126 Two letters picked without replacement from {v: 4, u: 6, m: 2, k: 6}. What is prob of sequence vm? 4/153 What is prob of sequence kh when two letters picked without replacement from jhkjkkkdjbkjkbkjdb? 7/306 Three letters picked without replacement from vrvvhripprv. Give prob of sequence rpi. 1/165 Four letters picked without replacement from {n: 8, t: 2, s: 1, v: 2, k: 5}. Give prob of sequence svnk. 1/918 Two letters picked without replacement from liigv. Give prob of sequence gi. 1/10 What is prob of sequence sr when two letters picked without replacement from {s: 3, r: 4, m: 5}? 1/11 Two letters picked without replacement from {m: 15, a: 3}. Give prob of sequence am. 5/34 Three letters picked without replacement from boboboobbbb. Give prob of sequence ooo. 4/165 Two letters picked without replacement from facaaasccfaaccaccz. What is prob of sequence sa? 7/306 Calculate prob of sequence yoyo when four letters picked without replacement from {y: 5, o: 2}. 1/21 Calculate prob of sequence nl when two letters picked without replacement from {s: 1, o: 1, n: 5, e: 4, l: 1}. 5/132 What is prob of sequence zz when two letters picked without replacement from zuuuzu? 1/15 Four letters picked without replacement from {a: 1, d: 1, t: 1, c: 1, g: 4}. What is prob of sequence dagt? 1/420 Two letters picked without replacement from {h: 4, z: 2}. What is prob of sequence hh? 2/5 Calculate prob of sequence xvx when three letters picked without replacement from xxxvxvxv. 5/28 Calculate prob of sequence wllh when four letters picked without replacement from wswwshwwsl. 0 What is prob of sequence cg when two letters picked without replacement from {c: 3, d: 2, g: 2, o: 4, x: 1, u: 2}? 3/91 Four letters picked without replacement from mlkm. Give prob of sequence mmkl. 1/12 Calculate prob of sequence lzq when three letters picked without replacement from uqzlw. 1/60 Two letters picked without replacement from {y: 6, k: 6, d: 2, u: 2, i: 1, h: 1}. What is prob of sequence hi? 1/306 Calculate prob of sequence ggx when three letters picked without replacement from {x: 6, w: 6, v: 1, g: 3, a: 1}. 3/340 Four letters picked without replacement from pssfggghhgfggfsf. What is prob of sequence hgfs? 3/910 Two letters picked without replacement from ozoeooozeooe. Give prob of sequence ze. 1/22 Calculate prob of sequence hmz when three letters picked without replacement from bbmkzbbzzkbkbhhk. 1/560 Calculate prob of sequence mmnk when four letters picked without replacement from {i: 1, k: 6, n: 1, m: 7}. 1/130 What is prob of sequence uc when two letters picked without replacement from uucuuuuuuuccuucuccu? 13/57 Four letters picked without replacement from {h: 2, n: 11}. Give prob of sequence nhhn. 1/78 Three letters picked without replacement from woowwwwwowwwoo. Give prob of sequence www. 3/13 Three letters picked without replacement from wzwwoiwoaw. Give prob of sequence waz. 1/144 What is prob of sequence cttc when four letters picked without replacement from sotqscc? 0 What is prob of sequence vkk when three letters picked without replacement from vvbkddddfbddkvvbfvvk? 1/190 Calculate prob of seque
{ "pile_set_name": "DM Mathematics" }
hird derivative of 0*v**2 + 2*v**6 - 4*v**6 - 2*v**2 + y*v**2 wrt v? -240*v**3 Let q(i) be the first derivative of 0*i**3 + 6 - 1/2*i**4 + 2*i**2 + 0*i. What is the second derivative of q(t) wrt t? -12*t Suppose 4*b = i + 18, 0 = i + b - 2 - 5. Find the third derivative of m**5 - i*m**2 + m**5 - m**5 wrt m. 60*m**2 Let c(l) be the third derivative of 0*l**6 + 0*l + 0*l**3 + 0 + 0*l**4 - 1/15*l**5 + 2*l**2 - 1/70*l**7. What is the third derivative of c(a) wrt a? -72*a Let g(u) be the third derivative of u**7/280 + 3*u**5/40 + u**4/24 - 11*u**2. Let m(d) be the second derivative of g(d). Differentiate m(a) with respect to a. 18*a Differentiate -2 - 3 + 4 + 2*c**3 with respect to c. 6*c**2 Let r(y) = 3*y**2 + 5*y. Let f(t) = 2*t**2 + 5*t. Suppose 3*b + 6 = b. Let u(w) = b*r(w) + 4*f(w). Find the second derivative of u(n) wrt n. -2 Let q(r) = -2*r**2 + 7*r + 1. Let z(n) = n. Let j(w) = -q(w) + 3*z(w). Let l(h) be the first derivative of j(h). Differentiate l(f) wrt f. 4 Let u(k) = 38*k**3 + 5*k + 5. Let n(w) = -38*w**3 - 6*w - 5. Let g(h) = 3*n(h) + 4*u(h). Find the second derivative of g(x) wrt x. 228*x Let j = 16 + -29/2. Let g(h) be the first derivative of 3*h + j*h**2 + 3. What is the first derivative of g(r) wrt r? 3 Suppose -3*u + 2*u - 3*z - 10 = 0, 0 = -4*z - 16. What is the second derivative of -4*l**u + 0*l**2 + 5*l + 2*l**2 wrt l? -4 Differentiate -3128*r + 3128*r - 36 + 9*r**3 - 4*r**3 wrt r. 15*r**2 Find the first derivative of -3 + 5*b**3 - 27*b**3 - 23 wrt b. -66*b**2 Let o(f) = -6*f**4 - 5*f**3 + 5*f**2 - 6. Let q(z) = 7*z**4 + 6*z**3 - 6*z**2 + 7. Let b(p) = 6*o(p) + 5*q(p). Differentiate b(c) wrt c. -4*c**3 What is the third derivative of -6*v**4 + v**3 - 8*v**2 - v**3 + 2*v**4 wrt v? -96*v Let x(p) = p**3 + 3*p**2 - p + 1. Let z be x(-3). Let a(v) = -v**2 + 4*v + 2. Let g be a(z). Find the second derivative of m - m - m**g - m wrt m. -2 Let t(u) be the third derivative of -7*u**6/120 - u**4/6 + u**2. What is the second derivative of t(d) wrt d? -42*d Let w(l) = 5*l**2 - 6*l. Let x(o) = 3*o - 4*o**2 - 2*o**2 + 4*o**2. Let g(i) = -6*w(i) - 13*x(i). What is the second derivative of g(n) wrt n? -8 Let s(o) = 48*o**4 + 7*o**3 + 81*o**2 + 7*o. Let d(h) = -16*h**4 - 2*h**3 - 27*h**2 - 2*h. Let f(r) = -7*d(r) - 2*s(r). Find the third derivative of f(b) wrt b. 384*b Let t(d) be the third derivative of -5*d**8/336 - d**5/60 + 7*d**2. What is the third derivative of t(s) wrt s? -300*s**2 Suppose -8 = -2*k - 2*k. What is the derivative of -5*u + 0 + k + 3 wrt u? -5 Find the second derivative of 4*x**3 + 2*x - 6*x + 2*x**3 wrt x. 36*x Let a(c) = -6*c**3 - 6*c**2 - c - 6. Let p(m) = m**4 + 11*m**3 + 11*m**2 + m + 11. Let x(k) = 11*a(k) + 6*p(k). What is the second derivative of x(v) wrt v? 72*v**2 Suppose -4*f - 5*g = -36, -3*f + 4*g = 2*f - 4. Find the second derivative of -4*l**4 - 2*l**4 - l + 7*l - l**f wrt l. -84*l**2 Let k = 0 + 5. Suppose -k*r + 9 = -1. Find the second derivative of 0*p + p - p**r - 2*p wrt p. -2 Find the first derivative of 11 - 2*z - 18 + 7*z wrt z. 5 Let b(k) be the first derivative of -k**5 + 3*k**2 - 5. Find the second derivative of b(g) wrt g. -60*g**2 Let u = -7 - -10. What is the first derivative of 12*o - u*o - 2 + 7 - 2*o wrt o? 7 What is the first derivative of -30 - 4 - 4*s + 21*s + 5*s wrt s? 22 Let j = 36 - 36. Let c(m) be the second derivative of -1/2*m**3 + j*m**4 + 0 - 1/10*m**6 + 0*m**5 + 0*m**2 - m. Find the second derivative of c(h) wrt h. -36*h**2 What is the third derivative of 5*l**6 - 2*l**2 + 8*l**6 - 8*l**6 + 7*l**6 wrt l? 1440*l**3 Let d(f) = f**3 + 5*f**2 - 6*f + 4. Let s be d(-6). Differentiate -6 - 2*l**4 + 12 + 8*l**4 + l**s wrt l. 28*l**3 Let p(k) be the first derivative of k**6/30 + k**3/2 - k - 1. Let o(w) be the first derivative of p(w). Find the second derivative of o(t) wrt t. 12*t**2 Let t(w) = -3*w + 10. Let c(u) = -4*u + 10. Let q(s) = -4*c(s) + 5*t(s). Let v be q(-7). What is the first derivative of 0 - 2 - 4*a**4 + v*a**4 wrt a? -4*a**3 Find the second derivative of -1443 + 19*o + 1443 + 6*o**3 wrt o. 36*o Let j(w) = w**2 + 6*w + 4. Let l be j(-6). Let q be l/6*(2 + 1). Find the third derivative of -3*r**5 + 4*r**2 - r**2 + 3*r**2 - 5*r**q wrt r. -180*r**2 Find the third derivative of -57*b**2 - b**2 + 150*b**2 - 37*b**2 + 56*b**3 wrt b. 336 Let y(m) be the third derivative of -m**7/35 + 5*m**3/6 + 12*m**2. What is the derivative of y(o) wrt o? -24*o**3 Let j(t) be the second derivative of -t**10/1680 + t**6/360 - t**3/2 + t. Let n(p) be the second derivative of j(p). Find the third derivative of n(z) wrt z. -360*z**3 Let p(f) = -15*f + 32. Let r(h) = -h - 1. Let g(n) = -p(n) - 3*r(n). What is the derivative of g(s) wrt s? 18 Let f(r) = 66*r**3 + 7*r**2 + 31*r - 7. Let j(x) = -44*x**3 - 5*x**2 - 21*x + 5. Let t(w) = 5*f(w) + 7*j(w). Find the second derivative of t(v) wrt v. 132*v Let o(s) be the first derivative of s**3 - 38*s**7 + 39*s**7 + 2 + 2. Find the third derivative of o(q) wrt q. 840*q**3 What is the third derivative of -6*n**3 - 5*n**2 + 9*n**3 - 16*n**3 wrt n? -78 What is the second derivative of -27*r + 2*r**3 + 35*r + 2*r**3 wrt r? 24*r Let j(m) be the second derivative of -3*m**8/28 + m**4/3 + 8*m. Find the third derivative of j(u) wrt u. -720*u**3 Let t(s) = s + 10. Let j be t(-8). What is the third derivative of -4*i**2 + 8 - 8 - 2*i**j - i**3 wrt i? -6 Let y(d) be the first derivative of -d**6/30 + d**4/8 - d**2 + 2. Let k(s) be the second derivative of y(s). What is the second derivative of k(h) wrt h? -24*h Suppose 5*s + 62 = 7*s. Find the second derivative of 2*l + s*l**4 + 2*l - 40*l**4 wrt l. -108*l**2 Let b be 1 + 0 + (-2)/(-1). What is the third derivative of 4*w**2 + w**2 - 6*w**2 + b*w**5 - w**2 wrt w? 180*w**2 Let g(d) = 2*d**3 + 3*d + 4. Let z(n) = -n - 1. Let k(a) = g(a) + 4*z(a). Find the second derivative of k(y) wrt y. 12*y Let h(d) be the first derivative of 3*d**5/5 + 2*d - 17. Differentiate h(z) wrt z. 12*z**3 Suppose 2*j + 0*j = 8. What is the third derivative of -3*a**5 - 7*a**5 - j*a**2 + 6*a**5 - a**5 wrt a? -300*a**2 Let b(u) be the first derivative of u**9/504 - u**6/180 - 8*u**3/3 + 11. Let o(k) be the third derivative of b(k). What is the third derivative of o(n) wrt n? 360*n**2 Let j(l) be the first derivative of 2/3*l**3 + 0*l**4 + 1 + 0*l - 3/5*l**5 + 0*l**2. Find the third derivative of j(f) wrt f. -72*f Let a(y) be the third derivative of 23*y**9/504 + 4*y**5/15 - 27*y**2. What is the third derivative of a(m) wrt m? 2760*m**3 Let m(b) be the second derivative of -3*b**8/56 - b**6/15 - 5*b**4/2 + 10*b - 3. Find the third derivative of m(h) wrt h. -360*h**3 - 48*h Let b(f) = 4*f + 4. Let t(r) = 8*r + 7. Let c(d) = -7*b(d) + 3*t(d). What is the derivative of c(n) wrt n? -4 Let q(v) = -7*v**2 + 2. Let b(m) = -8*m**2 - m + 3. Let o(l) = 2*b(l) - 3*q(l). What is the second derivative of o(j) wrt j? 10 Differentiate -4 - 24 - 5 + 14*x + 10*x with respect to x. 24 Suppose 3*k = -4*n + 4 + 1, 3*n = 3*k + 9. What is the third derivative of 2*d - 2*d**n - 2*d - 4*d**6 - d**2 wrt d? -480*d**3 Let p(q) be the first derivative of q**4/4 - 4*q**3/3 + 2*q + 1. Let d be p(4). What is the first derivative of m**3 + 1 + d*m**2 - 2*m**2 wrt m? 3*m**2 Let p be (-11 - 0)/(2 + -3). Let l = p + -5. Find the third derivative of d**2 - d**2 - d**2 - d**l wrt d. -120*d**3 Let p(b) = -b. Let l(g) = 4 - 2 - 3. Let o = 15 - 12. Let i(h) = o*l(h) - p(h). What is the derivative of i(n) wrt n? 1 Suppose 9 = 6*c - 3*c. What is the first derivative of 2*q**4 - 26*q**c - 7*q**4 + 26*q**3 + 1 wrt q? -20*q**3 Differentiate 11*u**3 - 9*u**3 - 6 - 3*u**3 wrt u. -3*u**2 What is the third derivative of -9*q**6 + 111*q - q**2 - 111*q wrt q? -1080*q**3 Let c(q) be the first derivative of 0*q**2 + 4 + 0*q**4 + 0*q**3 - 2/5*q**5 - q. What is the first derivative of c(i) wrt i? -8*i**3 Find the second derivative of 3*s + 3*s**3 - 6*s - 6*s + 2*s**3 wrt s. 30*s Let n(p) be the first derivative of 7*p**5/5 - 5*p + 3. What is the first derivative of n(m) wrt m? 28*m**3 Suppose 20 - 5 = 5*s. Let d(t) be the first derivative of 0*t**5 + t**3 + 0*t - s + 0*t**4 + 0*t**2 + 1/3*t**6. Find the third derivative of d(n) wrt n. 120*n**2 Suppose 9 = 3*r - 3. Find the third derivative
{ "pile_set_name": "DM Mathematics" }
derivative of u**6/120 + 2*u**5/15 - 11*u**4/24 - 29*u**3/6 - 2034*u**2. What is x(-9)? -11 Let l(g) = 0*g**2 - 38 + 34 - g**2. Let o be 10/(((-360)/96)/(9/(-6))). Determine l(o). -20 Let w(n) = -3*n**2 + 8*n - 7. Suppose 577*g + s - 10 = 575*g, -2*s = 2*g - 10. Calculate w(g). -42 Let y(d) = 20 - 47167*d**2 - 2*d**3 + 47154*d**2 + d**3 - 15*d. Give y(-12). 56 Let l(h) be the third derivative of -1/120*h**6 - 1/12*h**4 + 0 + 1/6*h**3 - 181*h**2 + 0*h - 1/12*h**5. What is l(-2)? -7 Let r(o) = 24*o**2 + 6*o - 4. Let h be r(2). Let q = h + -98. Let n(c) = -c**3 + 5*c**2 + 6*c. What is n(q)? 0 Let o(k) = -3*k**2 - 55*k - 252. Let d be o(-7). Let a(p) = -2*p**2 - 27*p + 14. Give a(d). 0 Let s(y) = 18*y**3 - 19*y**2 + 43*y + 2. Let n(w) = 25*w**3 - 28*w**2 + 60*w + 3. Let r(c) = 5*n(c) - 7*s(c). Give r(-5). -44 Suppose 0 = -4*x + 12, 15*x = v + 20*x + 1. Let j be 10/(-2)*1 + v/(-4). Let l(k) = k**2 - 2*k - 1. Determine l(j). 2 Let t(j) be the first derivative of -3*j**4/4 - 20*j - 3625. Determine t(0). -20 Let o(b) = b**3 - 13*b**2 + 57*b - 16. Let w(l) = l**3 - l**2 - l + 1. Let x(p) = -o(p) + 2*w(p). Let g be x(-15). Let t(v) = 2*v**2 - 6*v + 5. What is t(g)? 5 Let t(a) = -1551*a - 2. Let r(z) = 10239*z + 13. Let c(g) = 5*r(g) + 33*t(g). Suppose 2*l = 4*l + 2. Calculate c(l). -13 Let a(f) = f**2 + 15*f - 228. Let y be a(10). Let n(m) = m**2 - 22*m - 21. Calculate n(y). -21 Let v(q) = 4*q + 9*q**2 - 26119 + 26114 - 6*q**2 - 4*q**2. Calculate v(9). -50 Let j(d) = -2*d - 2. Let h be (-4)/10 + (-4)/(-10) - -43. Let i = h + -48. Give j(i). 8 Let y(w) = w**2 + 6*w - 5. Let a = -5635 - -5639. What is y(a)? 35 Let f = -220 - -223. Let v(m) = -3 + 3*m**2 + 2*m**2 + m**f + 0*m**2 + 4*m. Suppose k + 16 = -2*k + q, 0 = 4*k - 5*q + 36. Give v(k). -3 Let g(o) = o**2 + 4*o - 1. Suppose -2*c + 3*j = 6, -10 - 5 = 5*c - 4*j. Let t be 3 + c/6 + 169/(-26). Give g(t). -1 Let c(m) = m**2 - m + 3. Let z(u) = 2*u**2 - 10*u - 37. Let t(n) = n**2 - 4*n - 13. Let r(l) = -8*t(l) + 3*z(l). Let x(j) = 13*c(j) + 6*r(j). Calculate x(-3). 9 Let x(y) = 7*y - 15. Let v = 4017 - 4011. What is x(v)? 27 Let k(f) = 10*f - 186. Let w(t) = -188. Let i(d) = -4*k(d) + 5*w(d). What is i(-5)? 4 Let k(q) = 5*q**2 - 4*q + 10. Let y(f) = 16*f**2 + 15*f**2 - 4 + 25 - 9*f - 20*f**2. Let m(u) = -13*k(u) + 6*y(u). Give m(4). 4 Suppose 2 + 7 = v - 3*n, 18 = 4*v - 3*n. Suppose m - v*l + 9 = -0*m, -2*m + 2*l = -2. Let w(a) = -1 - m + 4 + 7*a. Give w(2). 11 Let w = -59 + 55. Let c(i) = 3*i**2 + 16*i + 3. Let y be c(w). Let k = y + 22. Let t(p) = p**3 - 9*p**2 + p - 11. What is t(k)? -2 Let y(d) be the second derivative of -d**5/20 + d**4 + 5*d**3/3 + 23*d**2/2 - 602*d - 3. What is y(13)? -16 Let p(x) = 2*x - 2. Let h(z) be the first derivative of 15*z**2/2 - 6*z + 244. Let d(v) = -h(v) + 6*p(v). Give d(-5). 9 Let x(g) = -7*g - 91 + 161 + 110 + 0*g + 2*g. What is x(37)? -5 Let a(j) be the first derivative of -j**4/2 - 10*j**3/3 + 9*j**2/2 - 3*j + 2296. Calculate a(-6). 15 Suppose 129*x + 3900 = 119*x. Let t be 0 + x/(-70) - 3/(-7). Let g(j) = -j**3 + 6*j**2 - 2*j + 11. Calculate g(t). -1 Let p(x) = x**2 - 17*x + 60. Let a be p(5). Let f(r) = -63*r**2 + 3 - 2 + r**3 + 57*r**2 - 3*r + a. Determine f(6). -17 Let a(i) = 16*i**2 + 2*i + 1. Let n = 28 + -28. Suppose o + 5*t - 9 = 16, n = -5*o - 5*t + 45. Suppose -9 = 4*s - o. What is a(s)? 15 Suppose 0 = 4*s - 8, 5*r = 2*s + 232 + 159. Suppose -9*c + 56 + r = 0. Let p(x) = x**2 - 17*x + 4. Calculate p(c). -26 Let z = 167 - 101. Suppose 0 = -33*n - 0 - z. Let o(a) = 2*a**3 + 2*a**2 - 1. Calculate o(n). -9 Let t(d) = 20*d - 13. Let x be t(-3). Let n = 80 + x. Let f(v) = v**3 - 9*v**2 + 14*v + 6. Let y be f(n). Let g(p) = -3*p + 4. Calculate g(y). -14 Let n be ((-1)/1)/(8/(-22) + 6201/20592). Let u(b) = -b**2 + 14*b + 21. What is u(n)? -11 Let a = 167 - -17. Let l = a - 186. Let k(u) = -u**3 + 4*u + 3. What is k(l)? 3 Let v(w) = 2*w**3 + 11*w**2 - 8*w - 65. Let f = 25736 - 25741. Determine v(f). 0 Let w = 12548 - 12545. Let x(a) = 11*a**2 - 34*a - 1. What is x(w)? -4 Let a(h) = h + 8. Let g(o) = 1. Let j(w) = -a(w) + 5*g(w). Let v be (((-618)/515)/(6/(-20)))/(12/(-15)). Determine j(v). 2 Let n(a) be the second derivative of a**7/840 + a**6/72 + a**5/40 + a**4/6 + 17*a**3/6 + 56*a. Let w(y) be the second derivative of n(y). Calculate w(-4). 8 Let b(m) = -10*m - 4. Let y = -2963 + 2964. What is b(y)? -14 Let b(i) be the third derivative of -1/3*i**3 + i + 0 + 20*i**2 - 5/24*i**4 + 1/60*i**5. Determine b(5). -2 Let v be 140/21*(-4 + (-40)/(-16)). Let p(j) = j**3 + 11*j**2 + 8*j - 8. Give p(v). 12 Let y(l) be the first derivative of -25*l**4/4 + l**3/3 - l + 1. Suppose -924*i - 931*i + 1808*i + 0 = -47. Give y(i). -25 Suppose -o - 7 = 0, -74*o + 15 = 2*j - 73*o. Let w(t) = -t**3 + 11*t**2 + 6*t + 10. What is w(j)? 76 Let v be ((-20)/(-7))/((-7)/((-147)/6)). Let z(i) be the first derivative of -i**2 + 21 - v + 0 + 4 - 9*i. Determine z(-6). 3 Let y(h) = 48 - 5*h + 6*h - 52 - 4*h. Suppose -2*n = -3 - 9. Suppose n*i = 14 - 50. Give y(i). 14 Let k(w) = -2*w - 123. Let i = 1435 - 1435. Give k(i). -123 Let t(c) = -c**3 + 3*c**2 + 4*c - 1. Let v be 5/(-3)*(-24)/20. Suppose -12 = v*u + 4*u. Let w be u/4 + 18/4. Determine t(w). -1 Let r(m) = 21*m**3 + m**2 - m + 1. Let l(c) = -2*c**2 + 6*c + 3. Let d be l(-5). Let i be (-3)/7 + (-110)/d. Calculate r(i). 22 Let c(p) = p**2 - 4*p - 3. Let s(o) = -7*o**2 + 20*o + 54. Let r(k) = -6*c(k) - s(k). Determine r(-9). 9 Let k = 394 - 344. Let m(j) = -51*j**3 - 4*j**2 - 2*j**2 + k*j**3 - 3*j - 1 - 4. What is m(-4)? -25 Let l(k) be the first derivative of 4*k**3 + 0*k**4 + 12 + 0*k - 1/12*k**5 + 0*k**2. Let u(i) be the third derivative of l(i). Determine u(1). -10 Let n be (-6)/(-12)*(-8)/(-1). Let y be 272/80 - n/10. Let i(b) = b**3 - 3*b**2 - 2*b + 2. Give i(y). -4 Let g(q) = 2*q - 7. Suppose 47 = -3*i - 49. Let f be (212/6 - -1) + (-66)/(-99). Let w = f + i. Determine g(w). 3 Let h(r) = r**2 + 1. Let u(n) = -7*n**2 - n. Let c = 0 + -21. Let f = c - -20. Let v(b) = f*u(b) - h(b). Determine v(1). 6 Let m(o) = -o**2 + 18*o + 20. Let g(p) = -p**2 + 158*p - 2378. Let x be g(17). Give m(x). 1 Let x(w) = w**3 + 10*w**2 - 40*w - 8. Let m be x(-13). Let f(k) = k**3 - 7*k**2 + 3*k + 6. What is f(m)? -29 Let u(j) = j**2 - 11*j + 5. Let r(o) = o**2 + 21*o - 80. Let w be r(10). Let t = 241 - w. Give u(t). 5 Suppose -4*i = 9 + 19. Let c(s) = 7*s + s**2 - s**2 - s - 7 + s**2. Let f be c(i). Let h(b) = b**3 + b + 4. Give h(f). 4 Let r(z) = -z**2 + 12*z - 9. Let l be 9*(11 + (-2 - 8)). Calculate r(l). 18 Let h(o) = -34*o**2 + 13 + 37*o**2 + 15431*o - 15420*o. Calculate h(-2). 3 Suppose 16 = -6*i + 2*i. Let f(b) = 6*b + 13. Let h(y) = -32 + 19 + 5*y + 24. Let a(r) = 3*f(r) - 4*h(r). Determine a(i). 3 Let h(k) = k**3 + 7*k**2 - 2*k + 1. Let b = 94 + -68. Let l be (91/b)/(1/(-2)). Calculate h(l). 15 Let s(z) = 1. Let v(m) = -m + 6. Let i(r) = 5*s(r) - v(r). Let a be -2*9/18*-3. Give i(a). 2 Let u(b) = 3*b**2 - 7*b - 7. Let l(p) = 2*p**2 - 7*p - 7. Let y(f) = 4*l(f) - 3*u(f). Let h = 421102 - 421109. What is y(h)? -7 Let o(m) = -4*m**2 + 17*m**2 - 13*m - 15 + m**2 - 7*m**2 - 6*m**2. Let x = -111 + 125. What is o(x)? -1 Let t(h) = -39*h - 89. Let v(x) = 10*x + 20. Let d(n) = -3*t(n) - 13*v(n). Calculate d(-11). 150 Suppose v + 0 + 15 = 0. Let z be (-54)/(-10) + 6/v. Let w(u) = 3187 - 6347 + u + 3162. Determine w(z). 7 Let a(s) = -s**2 - 9*s - 13. Let p be a(-7). Let b be 0 + p/2 - (-65)/2. Let u(j) = 31*j - 6 - 62*j + b*j + 2. Calculate u(6). 8 Let q(z) be the second derivative of -z**5/20 + z**4/2 - 5*z**3/6 + 3*z**2 - 1487*z. Give q(4). 18 Let t(f) be the second derivative of f**4/12 + f**3/3 + 3*f**2/2 + 15*f. Suppose 0 - 16 = -2*v + 4*a, 5*a = -5. Suppose v*m = 2*m + 12. Determine t(m). 18 Let j(v) be the third derivative of 2 + 1/24*v**4 - 20*v**2 + 0*v + 4/3*v**3. Calculate j(-9). -1 Let g be (8 - -9)/17 - (1 + 6). Let c(a) = -4*a**2 - 23*a - 5. Calculate c(g). -11 Suppose 2*m + 0*m = 64. Let n be m/20*(-15)/(-6). Let y(o) = -3 + 2547*o - 2 - 1275*o + 2 - 1271*o. Calculate y(n). 1 Let a be -2 - ((-22)/44)/(6/(-72)). Let n(t) = 11*t**2 + 37*t - 11. Let g(b) = 5*b**2 + 18*b - 6. Let z(u) = 7*g(u) - 3*n(u). Give z(a). -1 Let d(p) be the first deriva
{ "pile_set_name": "DM Mathematics" }
3*k + 200 What is the k'th term of -32, -13, 4, 13, 8? -k**3 + 5*k**2 + 11*k - 47 What is the x'th term of 209, 207, 203, 197, 189, 179? -x**2 + x + 209 What is the v'th term of 201, 820, 1859, 3324, 5221, 7556, 10335, 13564? v**3 + 204*v**2 - 4 What is the o'th term of -156, -159, -164, -171, -180, -191, -204? -o**2 - 155 What is the t'th term of -2, -99, -270, -521, -858, -1287, -1814? -t**3 - 31*t**2 + 3*t + 27 What is the g'th term of 109, 102, 81, 40, -27, -126, -263? -g**3 - g**2 + 3*g + 108 What is the o'th term of -3, -47, -121, -225, -359? -15*o**2 + o + 11 What is the n'th term of -426, -858, -1294, -1740, -2202, -2686, -3198? -n**3 + 4*n**2 - 437*n + 8 What is the t'th term of -129, -7, 115, 237, 359, 481? 122*t - 251 What is the b'th term of 1379, 1377, 1375, 1373, 1371, 1369? -2*b + 1381 What is the c'th term of -4402, -4400, -4398, -4396, -4394, -4392? 2*c - 4404 What is the w'th term of -19, -22, -39, -76, -139, -234, -367? -w**3 - w**2 + 7*w - 24 What is the j'th term of 460, 472, 506, 574, 688, 860? 2*j**3 - j**2 + j + 458 What is the s'th term of -4, -8, -14, -22? -s**2 - s - 2 What is the q'th term of 3, -9, -37, -87, -165, -277? -q**3 - 2*q**2 + q + 5 What is the h'th term of -7, -17, -29, -43? -h**2 - 7*h + 1 What is the k'th term of 1157, 1159, 1161, 1163? 2*k + 1155 What is the p'th term of 11, 0, -15, -34, -57, -84? -2*p**2 - 5*p + 18 What is the a'th term of 172, 341, 508, 673? -a**2 + 172*a + 1 What is the r'th term of -51, -199, -441, -777? -47*r**2 - 7*r + 3 What is the i'th term of -1191, -1199, -1221, -1263, -1331? -i**3 - i**2 + 2*i - 1191 What is the d'th term of 17, 40, 65, 92, 121, 152, 185? d**2 + 20*d - 4 What is the v'th term of -220, -436, -650, -862, -1072, -1280? v**2 - 219*v - 2 What is the o'th term of -34, -33, -32, -31? o - 35 What is the k'th term of -39, -156, -351, -624, -975, -1404, -1911? -39*k**2 What is the g'th term of -27, 0, 27? 27*g - 54 What is the x'th term of -808, -797, -778, -751, -716? 4*x**2 - x - 811 What is the i'th term of 255, 509, 763, 1017, 1271? 254*i + 1 What is the s'th term of 8314, 16630, 24946? 8316*s - 2 What is the m'th term of -16595, -16596, -16597? -m - 16594 What is the q'th term of -221, -435, -649, -863? -214*q - 7 What is the o'th term of 11, 50, 137, 296, 551? 4*o**3 + 11*o - 4 What is the n'th term of 301, 602, 905, 1210, 1517? n**2 + 298*n + 2 What is the w'th term of -78, -312, -702, -1248? -78*w**2 What is the s'th term of -22, -53, -108, -193, -314, -477, -688, -953? -s**3 - 6*s**2 - 6*s - 9 What is the m'th term of 1, -14, -37, -68, -107, -154? -4*m**2 - 3*m + 8 What is the v'th term of -49, -56, -63, -70, -77, -84? -7*v - 42 What is the c'th term of 994, 1001, 1012, 1027? 2*c**2 + c + 991 What is the l'th term of 40, 79, 120, 163, 208? l**2 + 36*l + 3 What is the o'th term of -6, -22, -48, -90, -154, -246, -372? -o**3 + o**2 - 12*o + 6 What is the d'th term of -203, -404, -605, -806, -1007? -201*d - 2 What is the v'th term of -1334, -1347, -1360, -1373, -1386? -13*v - 1321 What is the b'th term of 73, 175, 347, 625, 1045? 6*b**3 - b**2 + 63*b + 5 What is the r'th term of -376, -752, -1128, -1504? -376*r What is the p'th term of -1, 15, 41, 83, 147, 239? p**3 - p**2 + 12*p - 13 What is the a'th term of -17, -35, -61, -95, -137, -187, -245? -4*a**2 - 6*a - 7 What is the x'th term of -523, -1047, -1571, -2095? -524*x + 1 What is the s'th term of 1, 5, 31, 91, 197, 361, 595, 911? 2*s**3 - s**2 - 7*s + 7 What is the a'th term of 297, 599, 901, 1203, 1505? 302*a - 5 What is the k'th term of 36027, 36026, 36025, 36024, 36023? -k + 36028 What is the v'th term of 122, 184, 244, 302? -v**2 + 65*v + 58 What is the b'th term of 923, 927, 933, 941? b**2 + b + 921 What is the u'th term of 4, 65, 126, 187, 248, 309? 61*u - 57 What is the j'th term of -120, -116, -110, -102, -92, -80? j**2 + j - 122 What is the a'th term of -233, -467, -701, -935, -1169? -234*a + 1 What is the r'th term of 0, 7, -4, -39, -104? -r**3 - 3*r**2 + 23*r - 19 What is the r'th term of 113, 258, 413, 584, 777, 998, 1253, 1548? r**3 - r**2 + 141*r - 28 What is the z'th term of 124, 239, 354? 115*z + 9 What is the m'th term of 120, 120, 132, 162, 216, 300, 420? m**3 - 7*m + 126 What is the o'th term of 169, 351, 533, 715? 182*o - 13 What is the s'th term of -213, -208, -193, -162, -109? s**3 - s**2 + s - 214 What is the b'th term of 298, 291, 274, 241, 186, 103? -b**3 + b**2 - 3*b + 301 What is the w'th term of 37, 16, -71, -230, -467, -788? -w**3 - 27*w**2 + 67*w - 2 What is the f'th term of 469, 939, 1409? 470*f - 1 What is the b'th term of -16712, -16710, -16708, -16706, -16704? 2*b - 16714 What is the q'th term of -314, -629, -944? -315*q + 1 What is the s'th term of 29, 32, 61, 128, 245? 2*s**3 + s**2 - 14*s + 40 What is the f'th term of 212, 214, 216, 218? 2*f + 210 What is the o'th term of -35, -70, -105, -140? -35*o What is the o'th term of 42, 57, 96, 171, 294? 2*o**3 + o + 39 What is the a'th term of 36, 112, 232, 396, 604? 22*a**2 + 10*a + 4 What is the t'th term of 148, 138, 116, 82, 36, -22? -6*t**2 + 8*t + 146 What is the g'th term of -2101, -4201, -6301, -8401, -10501? -2100*g - 1 What is the t'th term of 36, 112, 196, 294, 412? t**3 - 2*t**2 + 75*t - 38 What is the n'th term of -9, -23, -59, -129, -245, -419, -663? -2*n**3 + n**2 - 3*n - 5 What is the t'th term of 45, 113, 205, 321, 461, 625? 12*t**2 + 32*t + 1 What is the f'th term of 5582, 5586, 5594, 5606, 5622, 5642, 5666? 2*f**2 - 2*f + 5582 What is the j'th term of 17, 11, -15, -73, -175? -2*j**3 + 2*j**2 + 2*j + 15 What is the m'th term of -116, -740, -2434, -5732, -11168? -89*m**3 - m**2 + 2*m - 28 What is the r'th term of -3, -20, -53, -108, -191, -308? -r**3 - 2*r**2 - 4*r + 4 What is the z'th term of 79, 113, 147, 181, 215? 34*z + 45 What is the i'th term of -294, -578, -862, -1146? -284*i - 10 What is the w'th term of -386, -384, -380, -374? w**2 - w - 386 What is the v'th term of -1027, -1023, -1015, -1003, -987? 2*v**2 - 2*v - 1027 What is the u'th term of 786, 1572, 2358, 3144, 3930? 786*u What is the h'th term of 723, 2879, 6481, 11535, 18047? h**3 + 717*h**2 - 2*h + 7 What is the t'th term of 20, 31, 52, 89, 148, 235, 356? t**3 - t**2 + 7*t + 13 What is the b'th term of 101, 167, 199, 197? -17*b**2 + 117*b + 1 What is the a'th term of 59, 264, 607, 1088, 1707, 2464, 3359? 69*a**2 - 2*a - 8 What is the i'th term of -17, -34, -47, -56? 2*i**2 - 23*i + 4 What is the i'th term of 81, 92, 119, 168, 245, 356, 507, 704? i**3 + 2*i**2 - 2*i + 80 What is the k'th term of -33, -176, -411, -738? -46*k**2 - 5*k + 18 What is the n'th term of -8, -29, -56, -95, -152, -233, -344? -n**3 + 3*n**2 - 23*n + 13 What is the t'th term of -65, -259, -575, -1007, -1549, -2195, -2939, -3775? t**3 - 67*t**2 + 1 What is the d'th term of -11, -5, 1? 6*d - 17 What is the p'th term of -200, -192, -170, -128, -60, 40, 178? p**3 + p**2 - 2*p - 200 What is the c'th term of 55, 85, 115? 30*c + 25 What is the x'th term of -85, -352, -807, -1456, -2305, -3360? -x**3 - 88*x**2 + 4*x What is the u'th term of -5207, -10413, -15619, -20825? -5206*u - 1 What is the g'th term of -121, -235, -339, -427, -493, -531, -535? g**3 - g**2 - 118*g - 3 What is the w'th term of 344, 2825, 9564, 22691, 44336, 76629? 355*w**3 - w**2 - w - 9 What is the g'th term of 7, 26, 63, 124, 215, 342, 511, 728? g**3 + 3*g**2 + 3*g What is the n'th term of -15, -44, -73, -102, -131, -160? -29*n + 14 What is the z'th term of -2, -36, -112, -248, -462, -772, -1196, -1752? -3*z**3 - 3*z**2 - 4*z + 8 What is the c'th term of 43, 81, 147, 253, 411, 633, 931, 1317? 2*c**3 + 2*c**2 + 18*c + 21 What is the g'th term of -33, -70, -133, -234, -385, -598, -885, -1258? -2*g**3 - g**2 - 20*g - 10 What is the z'th term of 344, 344, 346, 350, 356, 364, 374? z**2 - 3*z + 346 What is the d'th term of 67, 104, 145, 190, 239, 292, 349? 2*d**2 + 31*d + 34 What is the g'th term of -9840, -19680, -29520, -39360, -49200? -9840*g What is the c'th term of -50, -58, -72, -92, -118, -150? -3*c**2 + c - 48 What is the l'th term of 16, 41, 66, 91, 116, 141? 25*l - 9 What is the m'th term of -24, -51, -96, -159? -9*m**2 - 15 What is the p'th term of -408, -542, -664, -768, -848, -898, -912, -884? p**3 -
{ "pile_set_name": "DM Mathematics" }
cond derivative of 3871*h**6/30 - h**3/6 - 11*h**2 + 2492*h. Find the second derivative of c(g) wrt g. 46452*g**2 What is the third derivative of 4*u**5 - 54644*u**3 - 54576*u**3 + 110052*u**3 - 6164*u**2 wrt u? 240*u**2 + 4992 Let n(i) be the second derivative of -29/2*i**3 + 9*i + 39/2*i**2 + 4. What is the derivative of n(r) wrt r? -87 Suppose 3 = -3*s, 0 = 3*a - 0*s + 4*s - 356. Suppose -a = -8*q + 56. What is the derivative of -453*o**2 + 480*o**2 + q + 21 wrt o? 54*o Let b(u) be the third derivative of -235*u**8/112 - u**5/30 - 55*u**3/3 - u**2 - 187. What is the third derivative of b(a) wrt a? -42300*a**2 Let f(s) be the first derivative of -5*s**6/6 + 111*s**4/4 - 730*s**3/3 - 585. What is the third derivative of f(c) wrt c? -300*c**2 + 666 What is the second derivative of 3 - 31*c**2 - 43375*c - 5*c**3 - 5 + 2 + 42150*c wrt c? -30*c - 62 Let x = -65 - -95. Suppose 4*b + p - 145 = -0*p, b - p = x. Differentiate 38 + 7*o**3 + 16 - b with respect to o. 21*o**2 Let x(n) = n**2 - 14*n - 137. Let a be x(-7). What is the derivative of 7835*k**2 - 7835*k**2 - a*k**3 - 163 wrt k? -30*k**2 Suppose 20*q - 4*q - 3728 = 0. What is the first derivative of -76 - 129 + 38 - y**2 + y**2 - q*y**3 wrt y? -699*y**2 What is the derivative of -573*d**2 - d - 683*d**2 + 1289*d**2 - 1589 wrt d? 66*d - 1 Let p(n) = 2*n**2 - n - 1. Suppose -31*y - 54 = 23*y. Let v(z) = -225*z**2 - 172*z + 2. Let u(s) = y*v(s) - 2*p(s). Find the second derivative of u(f) wrt f. 442 Suppose 4*a = 2*i + 57 - 157, 3*i - a - 125 = 0. What is the third derivative of 5*t**2 - 133 + i*t**6 - 135 + 267 wrt t? 4800*t**3 Let o(v) be the second derivative of -v**7/21 - 247*v**5/5 - 829*v**4/12 + v + 2488. What is the third derivative of o(m) wrt m? -120*m**2 - 5928 Let l(s) be the third derivative of -s**5/60 + 145*s**3/6 - 27*s**2. Let p be l(0). What is the third derivative of -2*x**5 + 23*x**2 - 145*x + p*x wrt x? -120*x**2 Let g(o) = -22*o**3 + 12*o**2 - 14*o + 1513. Let d(q) = 21*q**3 - 10*q**2 + 17*q - 1508. Let j(v) = -6*d(v) - 5*g(v). What is the derivative of j(k) wrt k? -48*k**2 - 32 Let f(m) be the third derivative of m**8/336 - 782*m**5/15 + 1123*m**4/6 + m**3/3 + 4*m**2 - 9*m - 36. Find the second derivative of f(x) wrt x. 20*x**3 - 6256 What is the derivative of 145*f + 38 + 326 + 54 wrt f? 145 Let x be ((-10)/5)/((-12)/5 + 2). Suppose -f - 4*v = -0*v, 5*v = -x*f + 15. Find the third derivative of -w**f + 192*w**2 - 180*w**2 + 0*w**4 wrt w. -24*w Suppose -37 = 3*q - 43. Differentiate -q + 3 + 28*b - 67 wrt b. 28 Let w = -41 - -46. Suppose -j = -2*o - 0*j + 9, 0 = 4*o - w*j - 33. Find the third derivative of 8*p**4 + 33*p**2 - 17*p**o - 12*p**2 + 7*p**4 wrt p. 360*p Find the second derivative of 2*c**2 - 1154*c**3 - 7*c - 2*c**2 - 199*c**3 - 6613 + 6778 wrt c. -8118*c Find the second derivative of 6227*n**2 - 2108*n + 4377*n + 3671*n wrt n. 12454 Let z = -27 - -29. Find the first derivative of -14 - 28*h - 1 + 4*h - z*h wrt h. -26 Let r be 12/15 - (-1)/((-15)/12). Differentiate 26*a + 11*a + 123 + r*a wrt a. 37 Let l(j) be the second derivative of -247*j**4/3 - 1165*j**2/2 + 609*j + 2. Differentiate l(o) with respect to o. -1976*o Let w be -1 - (-2 - (-15)/(-5)). Find the second derivative of -f**2 + 18*f - 26*f**4 + 26*f**w + 22*f**4 - 120*f wrt f. 264*f**2 - 2 What is the second derivative of 3426*p**2 - 820*p**2 - 882*p + 459*p**2 + 3112*p wrt p? 6130 Let q(p) = -734*p**2 - 42*p + 83. Let l(i) = -2203*i**2 - 147*i + 248. Let k(o) = -2*l(o) + 7*q(o). Differentiate k(x) with respect to x. -1464*x Suppose 438 = -3*i - 4*h, 5*i = 2*i + 2*h - 438. Let o = 226 + i. What is the derivative of -16*d**4 + 17 - 80*d + o*d wrt d? -64*d**3 Let n be 200/12*1/6*9. What is the second derivative of -61*i**4 + 431*i - 528*i + 3*i**4 - n*i**4 wrt i? -996*i**2 Let d(k) = 26*k**2 + 32*k - 16702. Let c(b) = 90*b**2 + 112*b - 58462. Let r(f) = -7*c(f) + 24*d(f). Find the first derivative of r(s) wrt s. -12*s - 16 Let y(p) = -p**2 + 5*p + 6. Let v be y(6). Suppose r - 2*h + 3*h = v, 4*h + 16 = 0. Differentiate 21*n**4 + 2*n**r - 7*n**4 + 1 + n**4 with respect to n. 68*n**3 Find the second derivative of 4215*w**2 - 1285*w**2 + 580*w**2 - 1167*w - 4781*w wrt w. 7020 Find the first derivative of 61*p - 140*p + 1916 + 23*p + 34*p wrt p. -22 Let g(p) be the second derivative of 1982*p**3/3 + 2079*p**2 - 57*p - 4. Differentiate g(u) wrt u. 3964 Let h = 936 - 932. Find the third derivative of -30*w**3 + 876*w**2 - 959*w**2 - 3*w**h + 74*w**3 wrt w. -72*w + 264 Let m(j) = -2236*j**3 + 51*j**2 + 3*j - 1966. Let p(o) = o**3 - 17*o**2 - o + 3. Let c(z) = -m(z) - 3*p(z). Differentiate c(b) wrt b. 6699*b**2 Suppose 2*h + 3*z = 15, -4*h + 3 = -0*z - 3*z. What is the first derivative of 5*q**h - 57 + 2*q - 2*q + 11 wrt q? 15*q**2 Let i(m) = -7850*m**2 + 14*m + 1110. Let s(u) = 5233*u**2 - 9*u - 740. Let p(r) = -9*i(r) - 14*s(r). Find the first derivative of p(v) wrt v. -5224*v Let l(i) be the first derivative of -1/3*i**3 - 106*i - 14*i**2 - 51. Differentiate l(f) wrt f. -2*f - 28 Let x(y) = y**2. Let t be x(-2). Find the second derivative of 0*m**4 - 10*m**4 - 63*m - 7*m**4 - 6*m**t + m**3 wrt m. -276*m**2 + 6*m Let f(p) be the first derivative of 0*p**6 - 6/7*p**7 + 49 + 0*p**5 - 88/3*p**3 + 0*p**2 + 0*p + 3/4*p**4. Find the third derivative of f(b) wrt b. -720*b**3 + 18 Let m(h) be the second derivative of -51 - 19/3*h**4 - 5/3*h**3 - 2*h + 3/2*h**2. What is the second derivative of m(w) wrt w? -152 Let b(y) = 2*y**3 + 12*y**2 - y. Let h be b(-6). What is the second derivative of -22*x + 98*x**2 + h*x - 26*x - 43*x wrt x? 196 Suppose -6*w = -w - b - 19, -w + 23 = -5*b. Find the second derivative of -47*k**2 + 322*k - 2 - w - 330*k wrt k. -94 Find the second derivative of -r**4 + 769*r - 1602*r**3 + 2 + 1339*r**3 - 1936*r wrt r. -12*r**2 - 1578*r Let a = 118 + -111. Let c = a + 46. What is the first derivative of 3*p + 29 - c - 4*p - 16*p wrt p? -17 Let z(h) be the second derivative of -83*h**2 - h - 1/6*h**3 - 31/12*h**4 - 11. What is the derivative of z(k) wrt k? -62*k - 1 Let w(c) = -135*c**5 + c**4 - c**3 + 2690*c**2 + c - 7. Let r(x) = -x**5 - x**4 - x**3 + x - 7. Let o(b) = r(b) - w(b). Find the third derivative of o(n) wrt n. 8040*n**2 - 48*n What is the second derivative of 2414*g + 21621*g**4 - 7222*g**4 - 9298*g**4 wrt g? 61212*g**2 What is the second derivative of -4020*l - 143 + 143 + 4111*l + 6067*l**4 wrt l? 72804*l**2 Let s be ((-19)/38)/((-1)/4). What is the first derivative of -3*v**3 + 45*v**2 - 18*v**2 - 23*v**s + 98 wrt v? -9*v**2 + 8*v Let c(d) be the first derivative of -381*d**3 - 97*d**2 - 775. What is the second derivative of c(g) wrt g? -2286 Let n(k) = 35*k - 61. Let s(g) = 420*g - 730. Let x = 4 - 1. Let v(h) = x*s(h) - 35*n(h). Differentiate v(l) with respect to l. 35 Differentiate 37*z**4 + 2*z**2 + 19*z**2 - 1463 + 8*z**2 - 39*z**2 with respect to z. 148*z**3 - 20*z Let i be -11 + 11 + 1*3. Suppose -i*w = -0*w, -4*w = -4*j + 1256. Find the first derivative of -7 + 314*u**2 - j*u**2 - 10*u**4 wrt u. -40*u**3 Let a(r) be the first derivative of r**2 - 3*r + 7. Let w be a(9). What is the second derivative of -7*i + w*i**4 - 12*i - 12*i wrt i? 180*i**2 Suppose -6*f - 10 + 40 = 0. Suppose 3*u - f*u - 2*z + 16 = 0, 5*u - 13 = 4*z. What is the third derivative of 0*k**2 - k**5 + u*k**2 + 8*k**5 + 3*k**5 wrt k? 600*k**2 Let w(r) be the second derivative of 0*r**3 - 133/30*r**6 - 53 + 0*r**2 + 0*r**5 - 2*r + 59/6*r**4. Find the third derivative of w(j) wrt j. -3192*j Find the second derivative of -1235*q**4 + 2466*q**4 + 960*q - 1231*q**4 + 341*q**5 wrt q. 6820*q**3 Suppose -6*h = -108 + 24. Let y = h - 9. What is the third derivative of -14*l**2 + 4*l + 8*l**2 - 4*l + 10*l**y wrt l? 600*l**2 Let o be ((-414)/(-24) - 2/8) + 0. Let w be o*(1/(-1) - -17). Find the third derivative of -s**2 + 0*s**2 - w*s**4 + 274*s**4 wrt s. 48*s Let k(z) = 3073*z - 10257. Let j(c) = 1536*c - 5111. Let b(q) = 5*j(q) - 3*k(q). What is the derivative of b(a) wrt a? -1539 Let m(i) = 3*i**3 + 16*i**2 - 4*i + 97. Let j(t) = -4*t**3 - 22*t**2 + 6*t - 145. Let r(b) = -5*j(b) - 7*m(b). What is the third derivative of r(x) wrt x? -6 Let g(v) be the first derivative of -180*v + 3 - 17/2*v**2. Find the first der
{ "pile_set_name": "DM Mathematics" }
culate the greatest common divisor of b and 10. 10 Suppose -3 = -w + 11. Calculate the greatest common factor of w and 21. 7 Let r = -50 + -7. Let u = -15 - r. Suppose -57 = -3*o + u. What is the greatest common divisor of o and 3? 3 Let p(n) = -n + 5. Let i be p(-7). Calculate the highest common divisor of i and 108. 12 Suppose -3*x = -6*x + 27. Let j = x + -7. Let z(n) = 40*n - 2. Let w be z(j). Calculate the highest common factor of w and 13. 13 Suppose 2*t - 2*d - 64 = 0, 0 = -t - 0*t - 5*d + 56. Let r = -134 - -152. What is the highest common factor of t and r? 18 Suppose -5*h = 2 + 3, 0 = -4*m + h + 41. Let l(d) = d**2 - 7*d - 8. Let z be l(-7). Calculate the highest common factor of z and m. 10 Suppose 0*s + 3*s = -3*u + 21, -5*u + 4*s = -53. What is the highest common factor of u and 81? 9 Suppose 3*s = -4*v - 0*v + 25, 3*v - 3 = 3*s. Suppose -3*z + 2*a = -2*z - 22, -z = 2*a - 14. Calculate the greatest common divisor of z and s. 3 Let n(r) = -r**3 + 5*r**2 + 2*r + 4. Let q be n(5). Suppose q = o - 16. Calculate the greatest common factor of o and 45. 15 Let m = 3 + -1. Let q(w) = 8*w + 3. Let c be q(1). Suppose -5*u + 5*x = -9 - c, 4*u = -5*x + 7. Calculate the highest common divisor of u and m. 1 Let r(i) = 8*i. Suppose 0 = -2*z - 0 + 2. Let b be r(z). Calculate the highest common divisor of b and 24. 8 Let m(h) = h**3 + 2*h**2 - h. Let p be m(1). Suppose -7*k = -p*k - 40. What is the greatest common factor of k and 20? 4 Let q be (-12)/78 + (-2251)/(-13). Suppose 3*i - 79 = q. Calculate the highest common factor of i and 21. 21 Let t(y) = 5*y**2 + 2*y + 3. Let z be t(-2). What is the greatest common divisor of 209 and z? 19 Suppose -40 + 116 = 4*i. Calculate the greatest common divisor of 38 and i. 19 Let b(q) = q**2 + 3*q - 7. Let w be b(-5). Calculate the highest common divisor of 21 and w. 3 Let q(l) = -l - 5. Let d be q(-9). Suppose -3*u + 2 = d*i - 4, 0 = -2*u + 2*i + 4. Let m be 2 - u*(-53 + 0). Calculate the highest common divisor of m and 12. 12 Suppose 3*q - 95 = 13. Let r = -25 + 25. Let n be 4 - 1/2*r. What is the greatest common factor of q and n? 4 Let g be (-110)/(-30) - (-2)/6. Let q = 12 - 8. What is the greatest common divisor of q and g? 4 Let z be (-1)/(-4) + 550/40. What is the highest common factor of z and 14? 14 Let p = 8 - 6. Let k(q) = q**2 + 7*q + 9. Let y be k(-6). Suppose -m = p*b - 12 - 16, 4*m = -y*b + 42. What is the highest common factor of 35 and b? 7 Let r be (4*3/2)/2. Suppose r*h + h = 268. Let n = 99 - h. Calculate the greatest common factor of n and 8. 8 Let i be -5*-1*4/10. Let j be i/(-8) - 903/(-28). What is the highest common factor of 8 and j? 8 Let c(d) = -40*d + 6. Let y be c(-3). Suppose -42 = 2*l - 4*l. Calculate the highest common divisor of l and y. 21 Suppose -5*f + 4*a = -377, 3*f = a - 5*a + 239. Let i = f - -28. What is the greatest common factor of i and 15? 15 Let j(v) = -2*v**3 - v**2 + 3*v + 4. Let p be j(-2). Calculate the highest common factor of p and 4. 2 Suppose 0 = 4*o + 2*z - 16, 3*z - 10 = -4*o + 5*o. Let l = o - -25. What is the greatest common divisor of 9 and l? 9 Let x = 7 - -368. What is the greatest common divisor of 25 and x? 25 Suppose j + 4*j = u + 1, 4*j = -4*u + 20. Suppose -28 = -u*n + 5*a + 22, 3*a - 6 = 0. Calculate the highest common factor of 3 and n. 3 Let z(d) = 32*d**2 + 3*d - 9. Let c be z(-3). What is the greatest common divisor of c and 30? 30 Suppose 2*y = -504 + 1402. Suppose -4*g - 5*u + y = -4*u, -5*u = -5. Let m(r) = -r + 16. Let j be m(0). What is the greatest common divisor of g and j? 16 Let o(z) = 2*z**3 - 4*z**2 + 2*z - 1. Let n be o(3). Calculate the greatest common factor of 230 and n. 23 Let u(r) = r + 37. Let y be u(-15). What is the greatest common factor of 198 and y? 22 Let k(w) = w**2 - 4*w - 2. Let f be k(5). Let m = -1 - f. Let j be (m + 8)/((-2)/(-12)). Calculate the greatest common divisor of 6 and j. 6 Suppose 4 = 2*n - 3*w - 5, -4*n + 43 = -w. Let l be 9/6*(-2)/(-1). What is the highest common divisor of l and n? 3 Suppose 3*n = n - 6. Let g = n + 9. What is the greatest common factor of g and 24? 6 Suppose 0 = -0*t - t + 3. Let x(q) = 3*q - 3. Let m be x(t). Let c = 50 + -26. Calculate the greatest common divisor of m and c. 6 Suppose -25 = 5*w - 0. Let m(l) = -l**3 - 6*l**2 - 5*l + 1. Let t be m(w). Let z be 4 - (9/1)/3. What is the highest common factor of z and t? 1 Let b(p) = -p**2 - 4*p + 4. Let f be b(-5). Let s = f + 43. What is the highest common divisor of 14 and s? 14 Let f(v) = 21*v. Let r be f(2). Calculate the greatest common divisor of 21 and r. 21 Let f = 73 + -41. Let c = -4 + -4. Let j = 16 + c. What is the greatest common divisor of j and f? 8 Suppose 0 = 3*v - 0*y + 2*y - 3, 4*y + 3 = 3*v. Suppose 73 = 2*a + v. What is the greatest common divisor of a and 9? 9 Suppose 4*o - 4*l = o + 348, -3*o + l + 339 = 0. Suppose -o = -0*i - 2*i. Let s = -38 + 46. What is the highest common factor of i and s? 8 Suppose 0 = -6*v + 3*v + 2*w + 22, -3*v + w = -23. Suppose -4*j + 24 = v. What is the highest common divisor of 1 and j? 1 Let n = -18 - -28. Let w be (-4)/(-18) + 536/18. What is the greatest common divisor of w and n? 10 Let x = 4 - -4. Suppose 6*r = 4*r + x. Suppose 30 = 2*y + r*k, -2*k - 140 = -5*y + k. Calculate the highest common divisor of y and 10. 5 Suppose 4*m - 3 = 1, -5*a = -2*m - 43. Let h(v) = v**3 - 8*v**2 - 9*v + 1. Let i be h(a). Calculate the greatest common factor of 5 and i. 1 Let z = 19 - 16. Calculate the highest common divisor of 24 and z. 3 Suppose 5*r = 4*t + 8, -3*t + r - 2 = -7. Suppose 0 = -4*n + 3*l - 8 + 110, n - t*l = 30. Calculate the greatest common divisor of 8 and n. 8 Let g be -1 + 3 + -4 + 4. Let s(f) = 3*f**2 - 4*f + 2. Let z be s(g). Suppose 4*o - 40 = 80. What is the highest common divisor of z and o? 6 Suppose 3 = 3*b - 3*n, 2*b + 6 = 6*b - 3*n. Suppose -4*i + 2*z + 46 = 0, 10 = -2*z - 0*z. Calculate the highest common factor of i and b. 3 Let g be 56 - (-3 + 3 + 1). What is the highest common divisor of 5 and g? 5 Let b = 29 - 18. Let y be ((-14)/8)/((-3)/12). Let s = b - y. Calculate the greatest common divisor of 44 and s. 4 Let j be -3 + 2/(-2 + 152/74). What is the highest common factor of 51 and j? 17 Let l(w) = -w**2 + w + 4. Let y be l(0). Let h be y/6 + 10/3. What is the greatest common factor of h and 4? 4 Suppose 0 = 3*i - 4*w - 182, 113 = -12*i + 14*i - w. Let h = -222 + 357. What is the greatest common divisor of i and h? 27 Let f(x) = 39*x - 1. Let v be f(1). Suppose 0 = -21*m + 1439 + 556. Calculate the greatest common factor of v and m. 19 Suppose -3*f + r = -436, -3*f + 2*r + 0*r = -431. Let m be 4/2 - (-16 - 3). Calculate the highest common divisor of f and m. 21 Let z be 4/22 + (-186)/(-66). Suppose y - 2*i = -i + 1, 3*y = -3*i + z. Let u be -2 - (y + -16 - 1). What is the greatest common factor of 56 and u? 14 Suppose 0 = 4*d - 6*d + 26. What is the highest common factor of 39 and d? 13 Let d = 4 + 36. What is the highest common factor of 100 and d? 20 Let r(f) = 58*f**2 + f. Let z be r(1). Let u = z + -10. What is the highest common factor of u and 7? 7 Suppose -5*m + 0*m - 17 = 3*b, -1 = -3*m + b. Let n be 2/(m - -3)*-11. Let l = n + 22. Calculate the highest common divisor of l and 1. 1 Let u = 7 + 13. What is the greatest common factor of u and 40? 20 Suppose 0*o - 4*o = -16. Suppose 0*x + o*l - 3 = -5*x, 5*l + 12 = -x. Let r be 1165/55 - 2/11. What is the greatest common divisor of r and x? 3 Let i(z) = -z**2 + 7*z + 4. Let a be i(6). Let m = 15 - a. Suppose c - 139 = -m*d - 3*c, 0 = -4*d - 2*c + 110. Calculate the greatest common divisor of 3 and d. 3 Let n = 8 + 14. What is the highest common factor of n and 11? 11 Let f = -20 - -12. Let r = -1 - 2. Let p = r - f. Calculate the greatest common divisor of 2 and p. 1 Suppose 6*s + 1 = -5*w + 10*s, w - 3*s = -9. What is the greatest common divisor of w and 33? 3 Let y be (4/3)/(2/159). Suppose -y = 4*d - 3*d. Let h be d/(-14) + 6/14. What is the highest common factor of 12 and h? 4 Suppose 2*l = 26 + 16. Calculate the greatest common divisor of 84 and l. 21 Suppose 4*t - 2 = -2*h, -2*t + t + 5 = 5*h. Let y = 3 - h. Suppose -4 + 3 = -u. What is the greatest common factor of y and u? 1 Let o =
{ "pile_set_name": "DM Mathematics" }
a(g) a prime number? True Suppose 3*d = 8*d - 20. Suppose 0*n = d*j + 5*n - 226, -3*n - 6 = 0. Is j prime? True Let t(f) = 51*f + 2. Let u be t(2). Suppose -5*z + 2*b = -495, 3*z - 167 - u = -4*b. Is z prime? True Let t = 11 + 47. Let q = -34 + t. Suppose 0 = -0*f - 4*f + q. Is f composite? True Let y(n) = -18*n - 3. Let g be y(-6). Let z = 198 - g. Let w = -62 + z. Is w a composite number? False Let p = 1441 + 4222. Is p composite? True Suppose -h + 5*w = -967, 0*w - 2*w - 8 = 0. Is h composite? False Let i(g) = g**3 + 17*g**2 + 7*g + 1. Suppose q - 19 = 3*l + 34, 47 = -2*l + 3*q. Is i(l) a composite number? True Let t(u) = 6*u**2 + 2*u - 15. Is t(7) composite? False Let x be (-4*2)/(-4) - -102. Let i = x - 69. Is i a composite number? True Let q be 277/(2*(-4)/(-8)). Suppose 2*b - 98 = 2*h, -q = -7*b + 2*b - 3*h. Is b composite? False Suppose 0 = 3*q - 6, -4*q = -5*a + 21 + 581. Is a a composite number? True Let d(u) be the second derivative of -u**3/3 + 217*u**2/2 + 5*u. Is d(0) a prime number? False Suppose 2*y - 26 = 68. Is y prime? True Suppose -3*p = -53 - 22. Suppose y + p - 72 = 0. Is y composite? False Let v = 1480 + 1134. Is v a composite number? True Suppose 4*l = -3*o - 7, -4*l - 15 = -9*l + o. Let u be (-4)/(-10) - (-938)/5. Suppose 5*s - 615 = 4*j - u, s - 89 = l*j. Is s prime? True Let v(w) = -79*w - 1. Let x be v(-3). Suppose -2*d + x = 32. Suppose -7 - 59 = -2*o - 4*f, 3*f - d = -3*o. Is o a composite number? True Suppose 5*w = -3*h - 160, 2*h - w + 53 = -71. Let k be ((-22)/8)/(3/h). Suppose -3*v = -y - 59, -3*y = 3*v - 2*y - k. Is v a composite number? False Let o(c) = -24*c**2 + c + 2. Let x be o(3). Is (-1 - 0) + (1 - x) composite? False Let c(b) = 83*b - 2. Let h be c(8). Let s = h - 429. Is s a prime number? True Let g(i) = -i - 1. Let x(l) = l - 2. Let p be x(4). Let c be g(p). Let d(n) = -26*n + 1. Is d(c) a prime number? True Suppose -15*p = -3*p - 4548. Is p a composite number? False Suppose -7 = -3*f + 5. Let o(y) = -y**2 + 4*y + 5. Let v be o(f). Suppose 2*l = -t + 15, -4*t + 5 = -v*l - 55. Is t prime? False Suppose 2*o + 2*o = 0. Let c(w) = 5*w + o*w**2 + 1 + 6 - w**2 + 0*w**2. Is c(5) prime? True Let b be -1*(0 + 2) - -7. Suppose -5*k = -0*k + g - 98, 2*k = -b*g + 30. Suppose 3*y = k + 19. Is y prime? True Let g = 6 - 3. Suppose g*w + 12 = 2*y - 21, -2*w + 56 = 3*y. Let t = 53 - y. Is t prime? False Suppose -423 = -3*n - 3*v, 4*n - 570 = -6*v + 5*v. Is n a prime number? False Suppose 0*s = 2*s - 4. Suppose m = -s*c - 6, -5*c - 10 = m + 5. Suppose 2*a + 8 = m, 3*w - 2*w - 4*a = 26. Is w a prime number? False Let k(h) = -h**2 - h + 123. Is k(0) composite? True Suppose -1 - 11 = -4*a. Let c be (a/(-9))/(2/(-6)). Let x = 22 - c. Is x a composite number? True Is -4*(2114/(-8) - 1) a prime number? True Let z(f) = f - 1. Let w(b) = 6*b - 6. Let k(n) = 4*w(n) - 27*z(n). Is k(-4) composite? True Let h(k) = -149*k**3 - k**2 + 2*k + 1. Let p be h(-2). Suppose -c = 4*c - p. Is c a prime number? False Let r(p) = -59*p - 1. Let z be r(-4). Suppose -x + z = -2*j, -70 = -2*x + j + 406. Is x composite? False Let l = 170 + -41. Is l a composite number? True Is 378 - (20/5)/(-4) composite? False Let f(u) = -u**2 - 14*u + 5. Is f(-11) a composite number? True Suppose -4*f - 2236 = -4*v, -2*f - f - 4*v - 1691 = 0. Let u be f/21 - 2/7. Let a = -1 - u. Is a prime? False Let l = 13 + -11. Suppose -19 = -l*z + 115. Is z a composite number? False Suppose -1 = 4*x - 9. Suppose 0 = -x*f - f + 222. Suppose -v - f = -3*v. Is v a prime number? True Let w = -3 - -3. Suppose 0 = 2*s - a - 0 - 14, 4*s - 3*a - 24 = w. Is (s/(-2))/((-3)/4) prime? False Let q(o) = -3*o + 2. Let m(s) = -10*s + 7. Let v(j) = 6*m(j) - 17*q(j). Is v(-7) a prime number? True Suppose 0*q + q = 1055. Is q a prime number? False Let x = -73 - -166. Is x composite? True Let g = -381 - -539. Is (-1)/(-1)*(g + 8) a composite number? True Suppose 5*k - 14 = -3*q, -4*k = -q + 3*q - 12. Suppose k*c - 209 = -3*s, -5*c - 3*s = -s - 263. Is c composite? False Let z(g) = -11*g**2 + 59*g - 15. Let f(d) = 4*d**2 - 20*d + 5. Let t(a) = 17*f(a) + 6*z(a). Is t(-14) prime? True Let w(o) = o + 2*o - 8 + 2*o. Let f be w(-6). Let q = f - -84. Is q composite? True Let o be (-2 - (2 + 4))/(-2). Suppose -o*h + 31 = 5*m, -8 = -3*h + 4. Let c(z) = -z**3 + 4*z**2 - z + 4. Is c(m) a composite number? True Let h(f) = -2*f + 1. Let s be h(-2). Suppose -b - 4*r + 39 = 0, s*b + 95 = -3*r + 290. Suppose 50 + b = a. Is a a composite number? False Suppose 0 = 4*y - 2*w + 11 + 3, 5*w = -15. Let i = 8 - y. Is i prime? True Let s = -4 - -6. Suppose -4*w + 8 = 0, 5*o - s*w - 511 = -0*w. Is o prime? True Suppose 0 = -b - 4*b - 15. Let z be 1/b + 22/(-6). Is (22/8)/(z/(-16)) a composite number? False Let g = -3236 + 5948. Suppose -3*a - 675 = -g. Is a composite? True Suppose 3*u - 5*l - 47 = 0, 2*l + 5 = 3. Suppose 105 - u = t. Is t prime? False Suppose 5*k + 1 + 18 = a, -5*k = -2*a + 18. Let l(p) be the third derivative of -19*p**4/12 - p**3/2 + p**2. Is l(k) a prime number? True Let i = 12717 + -8014. Is i a prime number? True Suppose 3*l + 9 = 0, 0 = 3*g - 2*l - 331 - 266. Let s = g + -70. Is s prime? True Let x(r) = -r + 6. Let b be x(3). Suppose -b*n + 60 = -n. Suppose 5*t - n = 2*t. Is t a composite number? True Let o be 11/(-33)*(-8 - 1). Suppose o*j - 100 = -j. Is j prime? False Let b(p) = 2*p**2 + 10*p - 7. Let k = 8 - 17. Is b(k) composite? True Let t(q) = q**3 + 7*q**2 - 7*q + 11. Let z be t(-8). Let r(b) = 4 - 7*b**2 + b**z + 5*b + b**3 - 3*b. Is r(5) a prime number? True Let c be 1 + -2 + (0 - -5). Suppose -a = 5*v + 196 - 620, -5*v + 400 = -5*a. Suppose 3*h = -k + c + v, 5*k + 2*h = 427. Is k a composite number? True Let t be 10/(-45) + 86/(-18). Let d(n) = 4 - 4 - 17*n. Is d(t) a composite number? True Suppose -3*y - a = 8, 0*y + 5*y + 11 = -4*a. Is 10/(-15) + (-707)/y prime? False Let l be -2*(-2 + 1 + 0). Suppose 6 = v + v. Suppose -w = -l*g - 6 - 4, -4*g = v*w - 50. Is w a composite number? True Let l(i) = -i + 2. Let s be l(-9). Suppose -s - 1 = 3*f. Is 8*(-1)/f*13 a prime number? False Let n(h) = 3*h**2 - 5*h + 3. Suppose 8*b = 3*b. Suppose 5*o - 15 = -b. Is n(o) prime? False Let s(n) = 111*n**3 - n**2 + 1. Is s(1) a composite number? True Let v(g) = -33*g - 11. Is v(-8) prime? False Suppose 0 = -p - 3*p + 20. Suppose -430 = -p*o + 1215. Is o composite? True Let w(c) = -84*c + 5. Is w(-4) a prime number? False Suppose b - 43 = -5*n, 0*b + n + 235 = 4*b. Let k = 90 + -53. Let w = b + k. Is w a prime number? False Let r(o) = o**3 - 9*o + 3. Is r(8) a prime number? True Let v be (-3)/(-1 + (-6)/(-15)). Suppose 2*q = q - 4*g - 18, 18 = -v*q + 4*g. Let d(b) = 2*b**2 + 8*b - 5. Is d(q) prime? True Suppose -4*u + 0*w = -2*w + 22, -4*u - 4*w = 28. Let j be 6/(-1)*3/u. Suppose 2*t - 32 = -2*o, -5*t + t + 50 = j*o. Is o composite? True Is (7/(-21))/((-2)/2478) a prime number? False Is 268/10*(-50)/(-20) prime? True Suppose -v = 2*h - 5*h + 2302, -h = -v - 768. Is h composite? True Let p = 589 - 243. Is p composite? True Is 3*(-3)/(-9) - -336 composite? False Let z(b) = 2*b**2 - 4*b + 3. Let a be z(2). Suppose u = 6*u + 10, -4*u + 103 = a*h. Is h composite? False Suppose -577 = -4*m - 3*y, -51 = 2*m + 4*y - 347. Suppose m = u + u. Let z = u + -49. Is z composite? True Suppose 0 = -3*i - 11 + 2. Is 1/i + 171/27 a prime number? False Suppose 4*b - 25 = -h, b - 5*h = -1 + 2. Suppose 3*z + 222 = b*z. Is z prime? False Let q = 467 + -174. Is q a prime number? True Is (-187)/(-5) - 7/((-105)/(-6)) prime? True Is (-4 + 453)/(-3 + 4) a composite number? False Let u(p) = 8*p**2 - 10*p - 13. Is u(8) composite? False Let s(d) = 4*d**2 + 1 + 4 + 0 + 3*d - 2. Is s(5) composite? True Let x(t) be the third derivative of -t**6/120 + t**5/20 - t**4/24 + 7*t**3/6 - 3*t**2. Let w be x(5). Is 1*(-1 + 0 - w) a composite number? False Suppose 3*v = r - 104, -4*v = 4*r - r - 273. Is r prime? False Suppose -2*z = -4*z, -3*h + 3*z + 6 = 0. Suppose -5*n + 2*m = -1523, -m - h = 2. Is n a prime number? False Let j = 17 - 7. Suppose -j = -4*b - b. Suppose l - 3*z = -l + 95, -b*l = 3*z - 101. Is l composite? True Suppose 3*k - 2*k - 48 = 0. Let f = k + -15. Is f a composite number? True Let v = 4 + -26. Let o = -3 - v. Is o pri
{ "pile_set_name": "DM Mathematics" }
Suppose 0 = -11*x + 53 + 2. Suppose 3*g + 258 = 4*f + g, -x*f = g - 319. Does 8 divide f? True Is (339588/81)/4 - 2/18 a multiple of 8? True Let s(h) = -8*h**3 + 2*h**2 + h - 1. Let d be s(-1). Suppose -d = -6*v + 16. Does 4 divide v? True Let i(y) = -372*y**3 - 2*y**2 + 6*y**2 + 387*y**3 - 3*y + 5. Let s be i(4). Suppose -7*b = 2*b - s. Is 13 a factor of b? False Suppose 0 = -3*j + r + 14, -2*r - r + 14 = 5*j. Is 14 a factor of 221/j - (51/(-4))/17? True Suppose -37*q - 3*q + 41600 = 0. Suppose 0*c - q = -13*c. Is c a multiple of 16? True Let a(r) = 10*r**2 + 9*r + 9. Let y be a(-3). Suppose y*d = 56*d + 4032. Is d a multiple of 42? True Let k(h) be the first derivative of 13*h**3/3 + 11*h**2/2 + 64*h + 15. Does 26 divide k(-4)? False Let z be (-217)/(-62) - 2*(-6)/(-8). Let n(c) = c - 2 - 3*c**2 - 1 + 24*c**3 + z*c**2 - 31*c**3. Is n(-2) a multiple of 11? False Let r(w) = 3*w - 24. Let f be r(6). Let l = -5535 - -3303. Does 29 divide f/(-21) + l/(-28)? False Let o = 0 + 16. Suppose -o*j = -17*j + 5. Suppose -j*t + 190 = -50. Is t a multiple of 24? True Suppose 53 - 11 = 6*m. Suppose 3*w - 3*z = 165, -m*z = 5*w - 4*z - 283. Is w a multiple of 14? True Let b(j) = -123*j - 15. Let a be b(4). Let u = a - -957. Does 90 divide u? True Let b be (-59)/(-19) - 16/152. Suppose -u + 1178 = -2*n + 4*n, -2*u = b*n - 1768. Is 28 a factor of n? True Let a = -3846 + 24960. Is a a multiple of 102? True Let t(u) = -42*u**3 - u**2 + 1. Suppose 0*q = -4*q + 16. Suppose -a + 3 = -q*a. Is t(a) a multiple of 14? True Suppose 3*k + 2*k + 19 = -3*x, 0 = -3*x - 2*k - 4. Suppose -7*u + d + 2595 = -x*u, -3*u - 3*d + 1539 = 0. Is u a multiple of 39? False Suppose 199*x - 851220 = 163*x. Does 17 divide x? False Is ((-2399648)/(-1640))/(1 - (-3)/(-5)) even? True Suppose 0 = 63*o - 70*o + 30331. Is o a multiple of 20? False Let b(n) = 737*n**3 + 4*n**2 + 12*n - 69. Is 82 a factor of b(3)? False Does 7 divide (-260)/(-15)*(-1365)/(-10)? True Let b(s) = -2*s + 22. Let d be b(6). Suppose -20 = 6*x - d*x. Suppose -v + 258 = 5*q, x*q = v + 422 - 160. Is q a multiple of 12? False Suppose 4446669 + 866079 - 486966 = 78*p. Does 22 divide p? False Let c be 1*(0 - (24 - -3)). Let p be ((-7)/(-3))/((-9)/c). Suppose -4*o + p*o - 4*k - 20 = 0, -4*o - 3*k = -60. Does 4 divide o? True Suppose -2*f + 30668 = 31*s - 36*s, -5*f + 76810 = 5*s. Is 9 a factor of f? True Let r = 89 - 327. Let q = r + 344. Is q a multiple of 46? False Let n(f) = f**2 + 16*f + 23. Let z be n(-7). Is 3 + -7 - z*11/2 a multiple of 72? True Let i(z) = -z**2 - 7*z + 10. Let u be i(-8). Suppose -2*m = -5*a - 3*m + 540, u*m - 324 = -3*a. Suppose 7*y - y = a. Is 15 a factor of y? False Let k = 3061 + -2099. Is 27 a factor of k? False Let y be (5 - (-114)/(-21)) + (-9609)/21. Let b = y + 806. Is 12 a factor of b? True Suppose -411*u + 29896 = -407*u. Does 37 divide u? True Is 14 + (-37820)/(-40) - (-3)/(-2) a multiple of 13? False Suppose -2*k + 4*g - 6 = g, 3*g = -5*k + 6. Suppose -2 = 4*f + j + 5, -5*f - 13 = -3*j. Does 19 divide 39 + (-6)/f - k? False Suppose -271*k + 269*k + 17932 = 0. Is 113 a factor of k? False Let i = -2871 - -1891. Does 2 divide i/(-36) + (-16)/72? False Let f = 679 + 1205. Does 3 divide f? True Let t(z) = -z**3 - 12*z**2 - 18*z - 9. Let u be t(-8). Let i = 211 + u. Is 17 a factor of i? False Suppose 3*j - 3*w = -0*j - 27, -4*w + 26 = -2*j. Let f be j/((-5)/13) + -1 + 3. Let d(r) = r**3 - 15*r**2 + 10*r - 6. Does 16 divide d(f)? True Suppose 2690 = 2*l - 5*a, -4*a = l - 2*l + 1354. Does 19 divide l? True Let k = 3032 + 8173. Is 6/8 - k/(-180) a multiple of 3? True Let f = -400 - 103. Let w = f + 766. Is w a multiple of 36? False Suppose -y - 3*m = 9, -2*y - 8 - 2 = 4*m. Suppose o + 0*q - 3*q + 1 = 0, -3 = 3*o + y*q. Is 21 a factor of (-260 + -13)*o/3? False Suppose 3*c - 4*g + 14 = 0, -g + 4 = g. Let h be 1 - 2 - c - 386/(-2). Suppose k - h + 78 = 0. Is k a multiple of 40? False Suppose -3*v + 24490 + 8943 = 4*k, -2*k = 3*v - 16721. Does 240 divide k? False Let o(v) be the second derivative of -11*v**3/6 + 43*v**2/2 + 21*v. Let c be o(13). Is 19 a factor of 3040/c*30/(-4)? True Let j(m) = 354*m + 282. Let l be j(21). Suppose -20184 = -18*n + l. Is 78 a factor of n? False Let g(y) = 2*y**2 + y**3 - 2*y**2 + 4*y**2 - y - 1. Suppose 483 = -333*a - 499 - 17. Is g(a) a multiple of 3? False Let l(k) = k**2 + 4*k + 1. Let h be l(-3). Let w be 0 - 0 - (1 + h + -1). Let i = 6 - w. Is i even? True Let p = -2201 - -2645. Does 14 divide p? False Suppose -23 = 13*p + 3. Suppose -7 = -3*x + 62. Let o = x - p. Is 5 a factor of o? True Suppose 51376 = 14*s - 15264. Is s a multiple of 28? True Suppose 5 = -3*h + 5*f + 2, 2*h - 11 = -f. Suppose -2*v - h = -10. Is (80/v)/((-11)/(-66)) a multiple of 40? True Is 35/(245/11718) + 18 a multiple of 5? False Suppose 3*y + 3*d + 12 = 0, 0 = 2*y - 3*d + 2*d - 4. Let p be (6/18)/((-3)/(-594)). Suppose y = -l + 73 + p. Does 7 divide l? False Is 9 a factor of (428978/(-66))/31*((-15 - 1) + 1)? False Let x = -32 + 28. Let k be ((-38)/(-57))/(x/(-18)). Suppose -40 = -k*i + 50. Is i a multiple of 5? True Suppose -3*y - y + m = -517, -m = -y + 130. Suppose -2*u - 258 = 4*o, u + y = -0*o + o. Let a = -57 - u. Does 9 divide a? True Let h(n) = 2*n**2 - 4*n - 16. Suppose 0*f - 3 = x - 5*f, -x + 3*f = 1. Suppose -x*w - 7*t - 6 = -2*t, 3*t + 9 = -3*w. Is h(w) a multiple of 2? True Suppose 5 = 10*z - 35. Suppose 34 + 46 = z*u. Is u a multiple of 4? True Let s(l) be the second derivative of 5*l**3/6 - 49*l**2/2 - 9*l. Is s(12) even? False Suppose -514 = -2*i + 496. Suppose 0 = 5*s + c - i, 4*c + 180 = 3*s - 123. Does 13 divide s? False Let b be ((-184)/6)/(-4)*-3. Let n = -471 - -504. Let j = n - b. Is j a multiple of 8? True Let d = 39 + 506. Suppose -289*l = -284*l - d. Does 33 divide l? False Suppose -3*l + 180 = 17*l. Suppose -l*x = -8012 - 1888. Is 72 a factor of x? False Let l be (-1 + (-14)/(-8))/((-1)/36). Let n = l + 27. Suppose -3*f - 2*j + 424 - 151 = n, 5*f - 4*j - 455 = 0. Does 16 divide f? False Let d(g) = 6*g**2 + 4*g + 25. Let c(r) = -r**2 - 4*r - 4. Let h be c(-4). Does 7 divide d(h)? True Let v be (-258)/(-54) + (-6)/(-27). Suppose -3*m + 2*c = -1262 + 311, -2*m + c = -633. Suppose v*y - m = -3*l - 2*l, -l = -2*y + 129. Is y a multiple of 16? True Let j(l) = 10*l**2 - 11*l - 27. Let i be ((-16)/4)/(-1*(2 - 3)). Is j(i) a multiple of 13? False Let d = -1151 - -1690. Suppose 0 = 7*t - 2940 + d. Is 45 a factor of t? False Let j(z) = -z**3 - 5*z**2 + 3*z - 7. Let v(s) = -3*s**3 - 16*s**2 + 10*s - 21. Let b(w) = 7*j(w) - 2*v(w). Suppose -4 - 4 = 2*t. Is b(t) a multiple of 4? False Let d(a) be the second derivative of 0*a**3 + 0*a**2 + 0 + 1/5*a**5 - 10*a + 0*a**4. Does 32 divide d(2)? True Let j = 4186 - 1751. Is 8 a factor of j? False Let r be ((-120)/9)/(3*(-3)/27). Suppose -5*j = r - 40. Is 36 a factor of (j - 2)*(-123 + -14)? False Let k(x) = -x**3 + 9*x**2 + 8*x - 44. Let w(v) = -v**2. Let i(l) = k(l) - 4*w(l). Does 3 divide i(13)? True Suppose -1 = -32*c + 33*c, -o - c = -4538. Does 51 divide o? True Let q(f) = f**3 + 9*f**2 + 18*f - 1. Let b be q(-6). Let p(s) = 369*s**2 + 2*s + 2. Let u be p(b). Let z = u - 250. Does 17 divide z? True Let a be 7 + 5/(30/(-42)). Suppose p - 30 = -p - 5*y, 2*y + 4 = a. Is p a multiple of 10? True Let m be (22/(-77))/((-2)/28). Suppose -2*y - s + 501 = 0, 6*y = m*y + 2*s + 516. Is 23 a factor of y? True Let s(u) be the first derivative of -39*u**2 - 158*u + 173. Does 4 divide s(-4)? False Suppose 6410 + 4216 = 42*w. Does 44 divide w? False Let b be (-170)/(-51)*9/(-4)*94. Let i = b + 1475. Is 55 a factor of i? True Let u(o) = o**2 + 14*o + 42. Is 4 a factor of u(-13)? False Let r = -31 - -27. Let x be ((-24)/(0 + 2))/(r + 2). Suppose 2*v - 5*i = 175, 5*v - 395 = x*i - 2*i. Is v a multiple of 15? True Let r be (-2)/(-6) - -204*(-4)/18. Does 3 divide (16/(-10) + 5 + -4)*r? True Suppose 0 = -4*a + 5*s + 37993, 113*a = 118*a - s - 47507. Is 24 a factor of a? False Let v(j) = 2*j**3 - 6*j**2 + j + 3. Let c be v(5). Let i(k) = 87*k - c*k + 12 + 6. Does 38 divide i(-7)? False Let u be (-1197)/(-7) - (-4 - -3 - 1). Suppose 26*b = 139 + u. Is 4 a factor of b? True Let d(v) = 801*v**2 - 26*v + 37. Is 19 a factor of d(4)? True Let w = -4892
{ "pile_set_name": "DM Mathematics" }
1/44)*(c/c**1)**(-37) assuming c is positive. c**(-71/231) Simplify (r**(7/3)/((r**(-26/5)/r)/r)*r**(-20)*((r/(r/(r**(1/9)/r)))/r)/r*r)**(9/8) assuming r is positive. r**(-139/10) Simplify ((s**(-5/3)*s/s**(2/13))/(s*s/s**(1/2))**16)/((s/s**(-1/2)*s*s**2)/(s**(1/11)/s**2)) assuming s is positive. s**(-26795/858) Simplify ((r**1)**42*r**(-1/6)*r**(-1)/r)/((r**(-1)*r*r/(r*((r/r**6)/r)/r)*r*r)/(r**(2/23)*r**3*r)) assuming r is positive. r**(4819/138) Simplify ((m**6/m*m)**(-17)*(m**(3/11)*m)**(18/11))**(-1/30) assuming m is positive. m**(403/121) Simplify (((o/o**(-2/7))/(o*(o/o**4)/o))/(o**(-13)*o*o/(o**(-2)/o*o)))**(4/19) assuming o is positive. o**(372/133) Simplify (((t**(-3)/t**(2/7))/(((t/t**(-4/7))/t)/t*t**(4/3)))**(14/13))**(-31) assuming t is positive. t**(5456/39) Simplify a**(1/15)/a*a**44*(a**(-4/31)*a)/((a/(a/((a**(-25)/a)/a*a)))/a) assuming a is positive. a**(32986/465) Simplify ((p*p*p**(1/4)*p)**(-12))**(2/119)*((p**1)**(6/17))**(-17) assuming p is positive. p**(-792/119) Simplify ((((j*j**(-1/5)*j)/(j**3/j))/(j**1)**13)**(-1/3))**46 assuming j is positive. j**(1012/5) Simplify ((j*j*j**(-7))/(j*j*j*j*(j/(j*j/(j/j**(1/2)))*j)/j)*(j**(3/2))**(-21/4))**(-1/21) assuming j is positive. j**(131/168) Simplify (((k*k**(-2/9))/k)/k**(-1))**(-2/11)/(k/(k/(k/k**(4/7))*k)*k*k*k**(4/9)*k)**27 assuming k is positive. k**(-53855/693) Simplify (o**6*o*(o*o**(-2/13))/o)/((o*o**(-4)*o)/o**(-2))*((o**(-10)/o)/((o/(o/(o**(2/17)*o)*o))/o))**24 assuming o is positive. o**(-52151/221) Simplify (t**6*(t**1*t)/t)**(-14)*((t/(t*t**6*t))/t*t/(t*t*t**(2/5)))/(((t**(-6)/t)/t)/((t**(-2/19)*t)/t)) assuming t is positive. t**(-9453/95) Simplify (((a*a**22*a**7)**(4/11))**(-7))**(-39/7) assuming a is positive. a**(4680/11) Simplify (((d*d*d/(d*d/(((d*d**(-1/2))/d)/d)))/d)**(-36))**(-3/19)/(d**(-4)/d**(-3/13)*d/d**(3/7)*d**(2/7)) assuming d is positive. d**(-9707/1729) Simplify z**(-5)/z**4*((z*(z/z**(-1))/z)/z)**4*z**2*z/(z*(z**(-3/7)*z*z)/z)*z**1*z*z**(-1/2) assuming z is positive. z**(-29/14) Simplify ((s**(-4)/s)/s**8)/(s**(2/3))**37*((s/(s/(s*s/(s**(-1)/s))*s))/(s/s**0))/(s*s*(s**(1/2)/s)/s)**(1/2) assuming s is positive. s**(-431/12) Simplify (((f**(-3/4)/f*f)/f)/(f/(f**(9/2)*f))*f**14*f*f*f*f**(4/13))**32 assuming f is positive. f**(8344/13) Simplify (j**35*j**(-4/3)*j**(3/31)/((j*j/j**(-26)*j*j)/j))**(3/2) assuming j is positive. j**(443/62) Simplify (c**(9/2))**(-8)*(c*(c*(c/c**(21/4))/c*c)/c)**(7/3) assuming c is positive. c**(-523/12) Simplify (((k**(-1/2)/(k/k**2))/((k*k**(-4)/k)/k**7))**17)**(1/35) assuming k is positive. k**(391/70) Simplify ((((q*q**(-1))/((q**(-7)/q)/q))/(q**(-6)/(q*q**1*q*q)))**(1/3))**(-4/5) assuming q is positive. q**(-76/15) Simplify ((q**(1/9)/q**(3/4))/((q*q**(-2/5)/q*q)/q)**(-5/4))/((q**(1/5)*q**(-6)/q*q*q)/(q**(2/3))**(-1/19)) assuming q is positive. q**(12401/3420) Simplify (x**(-2/17)/(x/((x/(x*x*x*x*x*x**(-4)/x*x*x))/x*x)*x))**(2/125)/((x/x**(-2/5))**(3/8))**(7/8) assuming x is positive. x**(-69259/136000) Simplify ((o*o**(2/11))**17/(o**(-26)/(o/o**(6/23)*o)))**(-4) assuming o is positive. o**(-48404/253) Simplify ((q**(-11))**(2/19)/(q**(-2/3))**(-10/9))**32 assuming q is positive. q**(-31168/513) Simplify (x/x**(-1/6)*x*x**4*((x*x**(1/2))/x*x)/(x/(x*x/x**6*x)))/((x**(2/19)*x**(-1)/x*x)/(x**(4/3)/x**(-3/2))) assuming x is positive. x**(281/38) Simplify ((w/(w*w**(-32))*w**(3/17))/(w*w*w**(-1/26)/w*w*w)**(-47))**(-5/13) assuming w is positive. w**(-378725/5746) Simplify (y**(-2/7))**(-39)/(y**(-2/13)*y**(3/2))*((y**(3/5)/y)/(y**4/y))/((y/y**(1/7))/((y*y/y**(-3))/y)) assuming y is positive. y**(8681/910) Simplify (((v**2)**(-1)*(v**2)**(-48))**(-47))**(-24/11) assuming v is positive. v**(-110544/11) Simplify (o/(o**(2/7)/o)*o**(-1/3))**21*(((o/(o/o**(-5)))/o)/o*o/(o*o**(-2/7)))**(-1) assuming o is positive. o**(250/7) Simplify f*f**(-19)*f*f/(f*f**(-13))*f**(-1/48)*f*f/(f/f**25) assuming f is positive. f**(1055/48) Simplify ((z**2)**(-2/35))**(-24)*(z**(-1/7)/z*z*z*z*z/(z**13*z))**8 assuming z is positive. z**(-432/5) Simplify ((s/(s*s**1))**(-2/113))**(-36)*(s*s**(3/2))/s**5*s/(s*s**0/s)*((s*((s*s/(s*s**(-1)/s))/s)/s)/s)/s assuming s is positive. s**(-483/226) Simplify ((y**(-1/16)*y)**41/(y**18*y**(4/11)))**(-3/16) assuming y is positive. y**(-10599/2816) Simplify (s*(s*s*s/((((s*s**(-11/4)/s*s)/s)/s)/s))/s*s*s*s/s**(-26/9)*((s/s**(2/31))/s)/(s/(s/s**(-7))*s*s*s))**(-1/75) assuming s is positive. s**(-19613/83700) Simplify (b*(b**5*b*b)/b*b*b**7*((b/(b**(2/7)/b))/b)**(-2))**(4/3) assuming b is positive. b**(380/21) Simplify (((q**(-1)*q)**(-36)*q*q/(q/(q*(q**(-1/11)*q)/q))*(q*(q/(q*q**(-10)))/q*q)/q)**(-36))**(-3) assuming q is positive. q**(14148/11) Simplify (r**(-8)*r*r)/(r*(r/r**(-4))/r)*r*r**(-4/9)*r/r**3*r*(r/(r/(r**(2/7)*r*r))*r)**16*(r/(r/(r/r**(1/4))))**(4/19) assuming r is positive. r**(49418/1197) Simplify ((g**(5/2)/((g/((g**(-2/63)*g)/g))/g))/(g**30*g*g*g/g**35))**0 assuming g is positive. 1 Simplify z**(-7)/z*z*z**(5/6)*z**0/z**(-2/15)*z/((z/z**(1/12))/z)*z*z**(2/23)*z*((z*z**0*z)/z*z)/(z**(-2/7)*z) assuming z is positive. z**(-5079/3220) Simplify (s*(s*s/s**(-2))/s*s*s)**(-1/18)/((s**(2/11)*s*s*s)/((s**9/s)/s))*(s**(-3/5)*s**(-2/19)*s)/(s*s**3*s**(-2/19)) assuming s is positive. s**(-19/165) Simplify (c**(-1/2))**(-4/17)*(c**(1/3))**(12/11)*(c*c/c**(-1))**(3/4)/(c**2*c**6) assuming c is positive. c**(-3941/748) Simplify ((p**2)**3/(p/p**(-1/4))**(-1/53))/((p*p**(-2/7))**(-6/29)/(p**(-6)*p/p**4)) assuming p is positive. p**(-121733/43036) Simplify ((r*r/(r/r**(-10/9)*r))/(r/(r/r**2))*(r/(r*r**(-2/3)))**(31/5))**10 assuming r is positive. r**(92/9) Simplify ((t**(-1))**(44/7))**(2/151)/((t**(4/5)*t**6/t*t)/(t**(-1/4)/t)**(-7)) assuming t is positive. t**(39463/21140) Simplify z*z**6/z*z**(-18/7)*z*z*(z/((z**14*z)/z)*z)**(-2/17) assuming z is positive. z**(814/119) Simplify (((i*i**(1/21))/i**(-2/3))/(i*((i**(-2/41)*i*i)/i)/i*i)**21)**(25/3) assuming i is positive. i**(-93900/287) Simplify (((m/(m*m/(m**(-2/5)*m)))/((m/(m*m**(3/10)*m))/m))/((((m**(-6/17)/m)/m)/m)/((m*m**(3/4))/m)))**37 assuming m is positive. m**(75517/340) Simplify (a*a*(a*a*((a**(-26)*a*a)/a)/a)/a)/(a*a/((a**(1/9)/a)/a)*a)*((a/(((a**28/a)/a)/a*a*a))/a)/a*a**(6/17) assuming a is positive. a**(-8497/153) Simplify (((i*i**(2/145)/i*i)/((i**29*i)/i))/((i*i**10/i*i)/(i/(i/(i**(-1/31)*i)*i)*i)))**(8/9) assuming i is positive. i**(-1367144/40455) Simplify ((f**7*f)**30*((f/(f/(f*f**(-1/6)))*f)/f)**(-33))**(4/17) assuming f is positive. f**50 Simplify ((f*f/f**1)**28)**(-3)*(f**0*f**(-1/2))**19 assuming f is positive. f**(-187/2) Simplify (y**(1/27)*y)**(10/7)*(y*y**(-10/7)*y)/((y/(y/((y/(y*y*y**(2/17)))/y)))/y) assuming y is positive. y**(16613/3213) Simplify (y**(3/7)*y*y**(-3))/((y/y**(-3/7))/((y/(y/y**(4/7)))/y))*((y**(2/11)/y)/y*y*y**(-3))/(y*y**(4/5)*y*y*y*(y**(2/5)/y*y)/y) assuming y is positive. y**(-4407/385) Simplify ((j**(-21))**(-1/2)/((j**(-15)*j*j)/(j*j**26*j)))**(31/2) assuming j is positive. j**(3193/4) Simplify z**(-2/5)/z**(2/5)*z*(z/z**6)/z*z**(1/7)*(((z/z**(-2/7))/z*z)**(-11/4))**(-17) assuming z is positive. z**(1089/20) Simplify (n**0)**43/(n**(-1/3)/n)**(-42)*(((n/(n*n**(1/7)*n)*n)/n)/n*n**4/n)**(-45) assuming n is positive. n**(-662/7) Simplify (c**(2/3)/c**(1/4))**(-1/6)*(c*c**(-1)*c*c**(-2/13))**(-1/11) assuming c is positive. c**(-137/936) Simplify (d**1*d)**6/(d**(-2/7)/d*d**(-6))*((d**(1/4)/d)**33)**(-2/11) assuming d is positive. d**(333/14) Simplify b**(-1/3)/((b*((b/(b**0/b))/b)/b*b)/b)*b**4*b*b*b**1*b**(4/7)/(b/b**(-2/3))*b**(1/3)/b**(3/4) assuming b is positive. b**(349/84) Simplify (y**29)**(-1/19)*(y*y**(-11))/(y/(y*y/y**(2/63))) assuming y is positive. y**(-12638/1197) Simplify (k**13*(k/(k/k**5))/k*(k/(k/k**0*k)*k)**44)**(-1/11) assuming k is positive. k**(-17/11) Simplify ((h/(h/(h/(h**(2/21)/h))))/(h*h/h**(1/3)*h))**45/((h/(((h/h**(-1))/h)/h*h))**(-21/2)/(h**(2/9))**(-25)) assuming h is positive. h**(-2510/63) Simplify ((a*a/a**(-2/21)*(a/a**(-2/45))/a)/((((a*a/a**(-2/61)*a*a)/a*a)/a)/a**41))**(-1/17) assuming a is positive. a**(-770654/326655) Simplify (((w**(-2/5)/w)/w)**(2/15)*w**(2/19)*w/w**(-1/7)*w)/(w*w**(2/11)*w**(1/3)/w*(w/(w*w**(-1)/w)*w)/w**(-5/2)) assuming w is positive. w**(-896899/219450)
{ "pile_set_name": "DM Mathematics" }
4*g - 45 + i. Suppose -17*q + 92 + 282 = 0. Calculate the greatest common divisor of q and g. 11 Let m = 6 + 24. Let t be (-14937)/30 - 7/70. Let a = 708 + t. What is the greatest common factor of a and m? 30 Let j be -1 - (-21)/(-21)*712*-7. What is the greatest common divisor of j and 33? 33 Let o be 11/(968/272792) - (-3)/33. What is the highest common factor of o and 700? 100 Suppose -7 = -2*s + u, 0 = 22*s - 18*s - 3*u - 9. Calculate the highest common factor of s and 22. 2 Suppose -2*p + c + 68280 = 0, -31118 + 133556 = 3*p + 3*c. Calculate the greatest common divisor of p and 86. 86 Let q(z) = z**2 + 3*z. Let g be q(-4). Suppose -h = -g*h + 135. Let y be (3 - ((-4)/(-1))/4) + 3. What is the highest common divisor of h and y? 5 Let a = -315 - -333. Let g be (27/6)/(1 - 15/a). Suppose -3*v - 506 = -5*o + 154, 0 = -3*o + 4*v + 385. What is the highest common factor of g and o? 27 Suppose 64 - 46 = 2*q. Suppose -v + q = -48. Suppose -3*n + v = -4*g + 165, 4*g - n = 100. What is the greatest common factor of 96 and g? 24 Let h(j) = -j**3 - 20*j**2 - 32*j + 14. Let y be h(-7). Let i = y - -612. Suppose -128 = 5*f - i. What is the greatest common factor of f and 153? 17 Let h = 17892 + -8532. Calculate the greatest common divisor of 104 and h. 104 Let d(f) = 1673*f - 3350. Let w be d(5). What is the greatest common divisor of w and 340? 85 Suppose 230824 = 75*r + 38224. Calculate the greatest common factor of 40 and r. 8 Let u be 16/4 + 5368 + 1. What is the highest common factor of 27 and u? 27 Let f be ((-4)/3)/(4/(-366)). Suppose 3*c - 4 = f. Suppose 60*h - 924 = 27*h. Calculate the highest common divisor of h and c. 14 Let m(v) = 5*v - 280. Let c be m(0). Let x be c/36 - 6/27. Let i be (-102)/x - (-5)/20. Calculate the greatest common factor of 13 and i. 13 Suppose -2*k - 39 = u - 311, -3*u = -3*k - 807. What is the greatest common factor of 130 and u? 10 Suppose -4*f = 5*f - 153. Let o = f - 17. Let r = o - -11. What is the highest common factor of r and 110? 11 Let k = -787 + 801. Suppose 7*n = k + 56. Calculate the highest common factor of 135 and n. 5 Let u = -29 - -197. Let q = 180 - u. What is the greatest common factor of 12 and q? 12 Let x = 809 + -874. Let s = 358 - x. Calculate the highest common divisor of s and 94. 47 Suppose 77*x = 82*x - 2565. Let s be (-3 - 14/(-3))/(9/x). What is the greatest common divisor of 5 and s? 5 Let t = -1204 - -1449. Let j be 6/(-15) + 492/5. What is the highest common factor of j and t? 49 Suppose 224 = 5*t + 6*g, -2*t + 116 = t - g. What is the highest common divisor of 792 and t? 8 Let f = 5667 + -4406. Calculate the greatest common divisor of f and 291. 97 Let b(z) = 6*z + 1. Let n be b(2). Let i(p) = -2*p**3 - 49*p**2 - 150*p - 347. Let m be i(-22). What is the greatest common factor of n and m? 13 Let r(j) = j**2 - 2*j - 8. Let m be r(-6). Let k = 28 - m. Let o be (-18*k/20)/((-2)/(-10)). Calculate the highest common factor of 6 and o. 6 Let k be (-8)/(-3)*(-120)/(-32). Let w be -4 - 740/(-2 + -8). What is the highest common divisor of w and k? 10 Suppose -21*o + 22*o = -396. Let l be (-47)/(-3) - 11*(-24)/o. Calculate the greatest common divisor of 735 and l. 15 Let g(h) = -h**3 - 57*h**2 - 41*h + 36. Let r be g(-57). What is the highest common factor of r and 21? 21 Let s be (-7)/3 + 1 - 988/6. Let l = 187 + s. What is the greatest common factor of 3 and l? 3 Let k be (-8)/20*1450/(-6) + 48/(-72). What is the greatest common divisor of 840 and k? 24 Suppose -5*i = -2*i + 9. Let f be (-4)/12 + (-211)/i. Let x(p) = 58*p + 300. Let n be x(-5). Calculate the highest common factor of n and f. 10 Let f(n) = 5*n**3 - 23*n**2 + 6*n - 10. Let g be f(5). Let o be (-3 - 5) + 10 - (0 - g). Calculate the greatest common factor of 108 and o. 36 Let f = 8842 + -8799. What is the greatest common divisor of 13631 and f? 43 Let x be (7 + 21/((-693)/242))/((-2)/1422). Calculate the greatest common divisor of x and 15. 3 Let q = 106 + -118. Let i(x) = x**2 + 10*x - 14. Let v be i(q). Suppose -5*u + v = -0*u. What is the highest common factor of 18 and u? 2 Suppose 4*z - 3*f - 34 = 0, 2*z = -f - 2*f + 8. Calculate the highest common divisor of z and 181. 1 Let j = -503 + 710. Suppose -3*a + j = 3*c, -2*c = -a - 0*c + 78. Let x be (a/(-4))/2*-2*1. What is the highest common factor of 45 and x? 9 Let f(q) = q - 18. Let o be (-9)/(((20/8)/5)/1). Let g be f(o). Let r be (34 + -2)/(2/(g/(-3))). What is the greatest common factor of r and 24? 24 Suppose -6*k = -3*k - 816. Let y be (6/(-4))/(1094/(-136) + (164 - 156)). Calculate the highest common divisor of k and y. 34 Suppose -91*n - 4*n + 2280 = 0. What is the greatest common factor of 4808 and n? 8 Suppose -5*z - 2 = h, 2*h - 15 + 5 = 4*z. Let u be 622 + h/(12/28). Calculate the highest common divisor of 17 and u. 17 Let m(p) = -p**3 + 25*p**2 + 34*p - 32. Let g be m(26). Let h = 202 - g. What is the highest common factor of 494 and h? 26 Let o be (-4)/(-10) + (-5)/((-175)/(-119)). Let w be (o - (-6 + 4))*-69. Let q be 8/(-10) + (-2 - w/(-5)). What is the highest common divisor of q and 1? 1 Let g be 1/1 + (-5)/(-5). Suppose g*a = a. Suppose 5*c - i - 839 = -2*i, a = 2*c + 4*i - 332. What is the highest common factor of c and 28? 28 Suppose 0 = -130*m + 127*m + 1377. Let r = -297 + m. Calculate the highest common divisor of 6 and r. 6 Let x = -167 + 187. Let p be (135/75)/((-9)/(-60)). What is the greatest common divisor of p and x? 4 Suppose -12*z + 17*z - 10 = 0. Suppose -i = 4*w - z, 0 = -3*w + 5*w + 8. Suppose 945 = i*p - 9*p. What is the highest common factor of 21 and p? 21 Suppose 4*q - 2*q + 2*p - 4454 = 0, -3*p + 2217 = q. What is the greatest common factor of q and 288? 72 Suppose -4*n - n = 0. Suppose -3*x + 5*o + 3 + 140 = n, -1 = o. Let l(m) = 78*m - 1133. Let h be l(16). What is the highest common divisor of x and h? 23 Suppose 0 = -70*l + 8*l + 1798. Let b be (28/6)/((-10)/(-435)). What is the highest common factor of l and b? 29 Let r = -125 - -501. Let d = -344 + r. Calculate the greatest common factor of 88 and d. 8 Let i = 492 - 512. Let s = i + 207. What is the greatest common divisor of s and 119? 17 Let r(q) = -2*q**2 - 19*q - 3. Let k be r(-9). Let f be (-6)/(-12) + 15/6. Suppose -k*i = -f*i - 252. What is the highest common divisor of 12 and i? 12 Suppose 53 = 5*s + 3. Let q(u) = -u**3 - 18*u**2 + 13*u + 80. Let m be q(-19). Suppose 0 = -11*l + m + 26. Calculate the greatest common factor of s and l. 10 Let r = 2799 + -2792. Let v = 7 - -4. Suppose -r*x + v = -24. What is the greatest common factor of x and 2? 1 Let c(m) = -54*m - 5. Let q be c(-5). Let a = -351848 + 351858. Calculate the highest common divisor of a and q. 5 Suppose -34 = 3*v - 106. Let a = 9129 - 9111. What is the greatest common divisor of v and a? 6 Suppose 4*n - 8*n = -3804. Let d = -583 + n. Let b be 6 - 279/45 - 462/(-10). Calculate the highest common factor of b and d. 46 Let w = 1300 + -265. What is the greatest common factor of w and 575? 115 Let y = 108 - 111. Let b be (-6)/5*(y + 395/(-10)). What is the highest common divisor of 6 and b? 3 Let u be 1 + (-10)/5 + 3. Suppose -3*t = u*s - 27, -4*t - 3*s = -2*s - 31. Suppose 0 = 3*x - 14 - 91. What is the greatest common factor of t and x? 7 Suppose 365*j + 516996 = 1854931 + 1673680. Calculate the highest common divisor of j and 185. 37 Suppose -14*q + 718 + 153 = 241. What is the highest common factor of 155 and q? 5 Suppose 0 = -85*z + 77*z - 32. Let c be 8/((-44)/(-10) + z). Calculate the greatest common divisor of c and 190. 10 Suppose 2*h - v - 1223 = 0, 0 = -4*h - 14*v + 19*v + 2443. What is the highest common factor of h and 72? 36 Let q be 18/(-3) + 9 + -1. What is the highest common divisor of 2102 and q? 2 Suppose -4*i + 2308 = 6*l, 5*i = -7*l + 10*l + 2822. What is the greatest common factor of 1207 and i? 71 Suppose -169 = -4*n - 168*p + 163*p, 0 = -3*n - 5*p + 133. Calculate the highest common factor of n and 21240. 36 Let u = -18582 - -18622. Suppose -3*j - 3*b + 198 = 0, -2*b = 4*j + 3*b - 260. Calculate the greatest common divisor of j and u. 10 Suppose -2*t + 133 = 125. Calculate the highest common factor of 146 and t. 2 Let x be (20/(-2))/(20/(-840)). Let t = 430 - x. Calculate the greatest c
{ "pile_set_name": "DM Mathematics" }
, w: 8, u: 1}. Give prob of sequence wu. 1/34 Two letters picked without replacement from vnj. Give prob of sequence jn. 1/6 Four letters picked without replacement from {b: 4, n: 2, p: 4}. What is prob of sequence pnpb? 2/105 Three letters picked without replacement from fmufwmiuz. What is prob of sequence ufi? 1/126 Two letters picked without replacement from mjpix. What is prob of sequence im? 1/20 What is prob of sequence ddy when three letters picked without replacement from {d: 6, y: 7}? 35/286 Two letters picked without replacement from lmncjlnclcllnlc. What is prob of sequence ll? 1/7 Calculate prob of sequence nli when three letters picked without replacement from onnlinl. 1/35 Calculate prob of sequence fq when two letters picked without replacement from fxqrrnquqfunfr. 9/182 Calculate prob of sequence qq when two letters picked without replacement from {q: 3, a: 1, v: 5, g: 3}. 1/22 Three letters picked without replacement from zyznkonznknzno. What is prob of sequence oyk? 1/546 Three letters picked without replacement from xxaxax. Give prob of sequence xxx. 1/5 What is prob of sequence pegg when four letters picked without replacement from {e: 1, p: 2, g: 2}? 1/30 Three letters picked without replacement from hqpqhhnhqkkppkh. Give prob of sequence npq. 3/910 Four letters picked without replacement from {j: 7, a: 1, f: 5}. Give prob of sequence jfja. 7/572 What is prob of sequence xx when two letters picked without replacement from nznlnlxnlxnn? 1/66 Two letters picked without replacement from {f: 3, h: 11}. Give prob of sequence hh. 55/91 Two letters picked without replacement from {w: 3, j: 1}. What is prob of sequence jw? 1/4 Calculate prob of sequence su when two letters picked without replacement from sqsausuuacaaeu. 6/91 Two letters picked without replacement from {t: 3, v: 5}. Give prob of sequence tt. 3/28 Three letters picked without replacement from kiiiiiiiiiikikii. What is prob of sequence kki? 13/560 Two letters picked without replacement from ooobbboobooooo. Give prob of sequence bb. 6/91 Two letters picked without replacement from {e: 2, d: 9}. What is prob of sequence ee? 1/55 Two letters picked without replacement from nhh. What is prob of sequence hn? 1/3 Two letters picked without replacement from ljkllljc. What is prob of sequence ck? 1/56 Calculate prob of sequence dd when two letters picked without replacement from dddrdrdddddddddddd. 40/51 Two letters picked without replacement from {a: 6, j: 4, i: 2}. Give prob of sequence ai. 1/11 Four letters picked without replacement from kkkkkjqjjkkkkkk. What is prob of sequence jqkk? 11/1092 Three letters picked without replacement from {h: 1, x: 2, n: 1, q: 1}. Give prob of sequence nhx. 1/30 Calculate prob of sequence asa when three letters picked without replacement from {e: 3, r: 5, s: 1, o: 1, a: 5}. 2/273 Calculate prob of sequence awjy when four letters picked without replacement from {h: 1, j: 2, y: 2, a: 2, d: 1, w: 1}. 1/378 Three letters picked without replacement from {a: 6, i: 3, k: 1, x: 1, p: 2}. What is prob of sequence pxi? 1/286 What is prob of sequence mrm when three letters picked without replacement from {m: 4, z: 4, r: 2}? 1/30 Four letters picked without replacement from rcitcctizzkici. What is prob of sequence irzi? 1/1001 What is prob of sequence aaaa when four letters picked without replacement from {a: 5}? 1 What is prob of sequence lill when four letters picked without replacement from lllliil? 1/7 Calculate prob of sequence aa when two letters picked without replacement from ddada. 1/10 Calculate prob of sequence yg when two letters picked without replacement from {g: 1, y: 3, q: 2, s: 1}. 1/14 What is prob of sequence uua when three letters picked without replacement from fdbbiuubddaa? 1/330 Calculate prob of sequence ob when two letters picked without replacement from nnbnofnbfbzbbbbbffbz. 9/380 Four letters picked without replacement from jjjjlujjljljjljjjl. What is prob of sequence ujlj? 11/1224 Calculate prob of sequence eru when three letters picked without replacement from mrumupe. 1/105 Four letters picked without replacement from {w: 1, n: 1, s: 1, g: 3, z: 1}. What is prob of sequence ngsw? 1/280 Two letters picked without replacement from {z: 5, g: 2}. Give prob of sequence zz. 10/21 What is prob of sequence wwk when three letters picked without replacement from kkwwkkkk? 1/28 Calculate prob of sequence xx when two letters picked without replacement from ugfuuvkvxvfuxxvuugux. 3/95 Three letters picked without replacement from {l: 2, a: 1, n: 6, o: 2}. Give prob of sequence llo. 2/495 Three letters picked without replacement from {d: 5, i: 5}. What is prob of sequence ddi? 5/36 Calculate prob of sequence mmb when three letters picked without replacement from bbmmmbvmbmbmmmmbmbb. 40/323 Four letters picked without replacement from eezeezzdzuzzpzz. Give prob of sequence upde. 1/8190 What is prob of sequence ocq when three letters picked without replacement from tcotttytttyttttyqqtg? 1/3420 Calculate prob of sequence mz when two letters picked without replacement from mpzzp. 1/10 What is prob of sequence vvs when three letters picked without replacement from {s: 4, v: 2}? 1/15 Three letters picked without replacement from cpzzwkwpzzzwpkwwz. Give prob of sequence pzz. 3/136 Two letters picked without replacement from pmpppmpmpmppm. What is prob of sequence pm? 10/39 What is prob of sequence vlce when four letters picked without replacement from vlllfewcflveeelfvlwv? 4/4845 Four letters picked without replacement from sbsbesbrsshsreszsss. Give prob of sequence rses. 5/1292 Two letters picked without replacement from wmftxtwtthwtfht. Give prob of sequence wt. 3/35 What is prob of sequence or when two letters picked without replacement from {r: 4, e: 2, i: 2, c: 2, o: 1, q: 1}? 1/33 Four letters picked without replacement from zedizeifezwz. What is prob of sequence zwdz? 1/990 What is prob of sequence pii when three letters picked without replacement from {p: 2, i: 2, r: 9}? 1/429 Two letters picked without replacement from zawqzwaaqa. What is prob of sequence wq? 2/45 What is prob of sequence mp when two letters picked without replacement from jpyjymjyyj? 1/90 What is prob of sequence qs when two letters picked without replacement from qsqqsqqqsqqqqqqsqqqq? 16/95 Two letters picked without replacement from zmsmjnm. Give prob of sequence ms. 1/14 Two letters picked without replacement from tcccccgcgggttgggtctc. Give prob of sequence tt. 1/19 What is prob of sequence axx when three letters picked without replacement from xaxxgggxggggaggxxxx? 56/2907 What is prob of sequence slll when four letters picked without replacement from {l: 4, s: 6}? 1/35 What is prob of sequence ds when two letters picked without replacement from {d: 9, s: 10}? 5/19 Two letters picked without replacement from {m: 2, r: 6}. Give prob of sequence mm. 1/28 Calculate prob of sequence dj when two letters picked without replacement from ddddjjddjddddd. 33/182 What is prob of sequence sssr when four letters picked without replacement from {h: 4, i: 1, r: 7, s: 1}? 0 What is prob of sequence iqq when three letters picked without replacement from qiaiwqiwi? 1/63 What is prob of sequence lc when two letters picked without replacement from {c: 11, l: 1, g: 1}? 11/156 Two letters picked without replacement from {n: 1, x: 2, y: 1, w: 4, j: 7}. Give prob of sequence wn. 2/105 Calculate prob of sequence rr when two letters picked without replacement from mrermemyzrx. 3/55 What is prob of sequence uii when three letters picked without replacement from iiiiuiiiiiiiu? 5/39 What is prob of sequence gu when two letters picked without replacement from gvuvhooouovooo? 1/91 Calculate prob of sequence bbvv when four letters picked without replacement from {v: 2, b: 11}. 1/78 What is prob of sequence nn when two letters picked without replacement from nnnn? 1 Three letters picked without replacement from oqbhihr. What is prob of sequence qir? 1/210 Three letters picked without replacement from npmmeoewewomem. Give prob of sequence ene. 1/182 What is prob of sequence ggll when four letters picked without replacement from gzzglzgzzzggzllgggg? 3/646 Calculate prob of sequence imym when
{ "pile_set_name": "DM Mathematics" }
2/(-12)). Suppose -33*g + p*g = -15. Sort -2, -3, g. -3, -2, g Let v(q) = -10*q + 27. Let n(c) = -7*c + 18. Let g(r) = 7*n(r) - 5*v(r). Let i be g(11). Let o be 78/(-30) + 2/(-5). Put 1, o, i in ascending order. o, 1, i Let w = 38 + -27. Let r(b) = -2*b + 27. Let g be r(w). Sort -4, g, 4. -4, 4, g Let a be (50/15)/(2/3). Let n = -44 - -40. Let j = 4 + 3. Put n, j, a in descending order. j, a, n Suppose 3*c + h - 20 + 6 = 0, -c + h + 2 = 0. Suppose c*z = -97 + 33. Let t = 37/2 + z. Sort 6/11, t, -5 in descending order. t, 6/11, -5 Let m = 2113 - 2111. Sort m, -102, 4. -102, m, 4 Let h = 73 - 21. Let x = h - 51. Sort 0.08, 1/4, x in increasing order. 0.08, 1/4, x Let x = -5 - -9. Let d be x - 3 - 1954/18. Let s = -108 - d. Sort s, -6, -1. -6, -1, s Suppose 188*k + 9 = 185*k. Sort -2, 1, -1, k in decreasing order. 1, -1, -2, k Let i(a) = 2*a**2 - 2*a + 1. Suppose -4*g + 2 = -6. Let y be i(g). Let o = 18 + -20. Put y, o, -1 in ascending order. o, -1, y Let n(q) = q**2 - 25*q - 30. Let o be n(26). Put 4, -1, 1, o in ascending order. o, -1, 1, 4 Let b be (-1 - -1) + (-26)/2. Let l = -9 - b. Suppose -271*j + 261*j + 10 = 0. Put l, -2, j in ascending order. -2, j, l Let t(q) = -q + 12. Let m be t(-5). Let c(k) = k**3 - 18*k**2 + 16*k + 7. Let z be c(m). Suppose 0 = 6*a - a. Sort z, -4, a in decreasing order. a, -4, z Let v = -3 - -2.5. Let u = 4.014 - -0.086. Let l = u + -0.1. Put 3, l, v in descending order. l, 3, v Let t = 9 - 5. Let s be 1*((-16)/(-12) + -3) + 4/(-3). Sort 1, t, s, 3. s, 1, 3, t Suppose 4 = 2*d, -3*t - 3*d = 2*d + 2. Let n = -15 - -22. Let o = 12 - n. Put o, 0, t in descending order. o, 0, t Let s = 53 + -44. Let t be -3 + s + -2*(-3)/(-3). Suppose -4*v - h + 53 = 0, -2*h - 27 - 10 = -3*v. Sort t, v, 0 in descending order. v, t, 0 Let z = 2559 - 2563. Sort -6, z, -2, -1.2 in ascending order. -6, z, -2, -1.2 Let z be (1/2)/(1/(-10)). Let m = -552 - -555. Put m, -1, z, -3 in increasing order. z, -3, -1, m Let p be ((-10)/6)/((-2)/6). Suppose 4*q = 10*q + 24. Suppose -5*s + 16 = 3*b - 4*b, 0 = 4*s - b - 13. Put s, p, q in descending order. p, s, q Let d(q) = -13*q + 62. Let c be d(5). Let h be (-1)/5 - (-18)/(-10). Sort h, 5, c in increasing order. c, h, 5 Suppose 5*n + 4*k = 12, 2*k - 6*k = 2*n. Let w be -1 - 0 - n/(-5). Let a = -26 + 29. Put a, w, 0.4 in ascending order. w, 0.4, a Let n = -4.1 + 0.1. Let z = 1 - n. Sort z, -3/4, -1 in descending order. z, -3/4, -1 Let q = -950.79 + 944. Let g = q + -0.21. Let a = 3.2 + -0.2. Put 0, a, g in descending order. a, 0, g Let v be -5 - -8 - (-8 - (-6)/3). Put -4, -3, 0, v in decreasing order. v, 0, -3, -4 Let o = -28 + 34. Suppose -3*w - t - 16 = 0, o*w - 2*w + 28 = -3*t. Sort w, 1, 5, -1 in decreasing order. 5, 1, -1, w Let j(v) = v**3 + 5*v**2 + v + 5. Let r be j(-5). Let h = -18 - -14. Put r, h, 4, 5 in descending order. 5, 4, r, h Let c = -0.05 + 25.25. Let t = c + -31. Let v = 6 + t. Put v, 0.5, -6 in decreasing order. 0.5, v, -6 Let l = 186.2 - 186. Suppose 2*n = 2*p + 16, -3 = 3*p + 3. Let i = 9 - n. Put 5, i, l in decreasing order. 5, i, l Let c = 2 + -6. Let g = c + 7. Let u = -3.01 + g. Sort 3/7, u, -4. -4, u, 3/7 Let m(o) be the second derivative of o**5/20 - 5*o**4/12 - o**3/6 + 2*o**2 + 4*o. Let f be m(5). Let s be (-57)/12 - f/(-4). Put 4, 6, s in decreasing order. 6, 4, s Suppose 0 = -105*y + 101*y + 4. Let q(t) = -2*t**2 - 2*t + 2. Let l be q(y). Sort -1, -7, l, 0 in decreasing order. 0, -1, l, -7 Let r = -0.359 + 13.359. Put 0.05, -2/7, r, 0.1 in ascending order. -2/7, 0.05, 0.1, r Let m = 783 + -8623/11. Let t = m + 39/55. Suppose 0*n + 2*n - 10 = 0. Sort t, n, -4 in ascending order. -4, t, n Suppose 42*m - 37*m + 20 = 0. Sort m, 0, -41, 3 in descending order. 3, 0, m, -41 Suppose 12*h - 243 = 225. Sort 0, 1, h in decreasing order. h, 1, 0 Suppose 7*t - 21 = -7. Suppose 0*f + t*f = 2. Suppose -25 = -0*y - 5*y. Sort f, -4, y in increasing order. -4, f, y Let y = -846 - -846. Sort y, 2, -0.2 in increasing order. -0.2, y, 2 Let m be 2/(-5) + 327/(-45). Let z = -67/9 - m. Let c = 0.43 - 0.33. Sort -0.4, z, c in decreasing order. z, c, -0.4 Let n = 47/40 - 31/40. Put n, 0, -0.006 in descending order. n, 0, -0.006 Let f(w) = w**3 - 8*w**2 + w + 8. Let d be f(8). Let s = 11 - d. Sort -2, -0.2, s. s, -2, -0.2 Let x = 107.254 + -0.314. Let s = x + -107. Sort s, 0.3, 1 in increasing order. s, 0.3, 1 Let b be 16/120 + (-290)/(-75). Sort -6, -10, b, -3 in descending order. b, -3, -6, -10 Suppose -5*y = -q - 13, 5*y - 20 = -4*q + 3. Put q, -3, 0, -5 in increasing order. -5, -3, 0, q Let d = 90 - 89.5. Let k = 43 - 45. Sort -1/8, d, k, -4/7 in decreasing order. d, -1/8, -4/7, k Let d(l) = -l**3 + 34*l**2 + 38*l - 135. Let w be d(35). Sort -4, -3, w in decreasing order. -3, -4, w Let a = 6.8 + -7. Let p = 9.277 + -0.277. Sort -0.3, a, p in ascending order. -0.3, a, p Let r = 16.38 - 11.38. Put 2.1, 23, r in decreasing order. 23, r, 2.1 Let p(c) = -2*c + 4. Let r be p(0). Let o = -6 - r. Let n be (1/o)/(12/90). Put 2, n, -5 in ascending order. -5, n, 2 Let j be (-4 - -164)/(2 - 1). Let u = -60 + j. Let t be 30/u - 2/(-10). Sort -2/3, t, 2/9. -2/3, 2/9, t Let p = 237 - 242. Sort -10, 1, -2, p in increasing order. -10, p, -2, 1 Let h(t) = 2*t**2 + 31*t + 38. Let m be h(-13). Suppose 4*c - 9*c = 4*s + 77, -s - 11 = 4*c. Let f = m - s. Put f, 1, 3 in ascending order. f, 1, 3 Let d(k) = k**3 - 2*k**2 - k - 9. Let t be d(3). Let n = -31 - -29. Put t, -9, n in descending order. n, t, -9 Suppose 4*s = 18 + 2, -16 = -4*h - 4*s. Sort h, 0, 23 in ascending order. h, 0, 23 Suppose 66 = 9*y + 75. Put -27, 3, y, 0 in increasing order. -27, y, 0, 3 Let s be (-8)/(-2) - (-4 + 0 - -6). Suppose 14 = 4*c - 4*l + s, -1 = c - 5*l. Put -5, 1, c, 0 in decreasing order. c, 1, 0, -5 Suppose 0 = j + 3, -3*i - 4*j + j - 9 = 0. Let g be -3 + (-12)/(-8) - -1. Put -2/7, g, i in descending order. i, -2/7, g Suppose 5*t - 712 = -2*x, -5*x - 452 = -3*t - 0*t. Let v = 143 - t. Sort -5, v, -12. -12, -5, v Suppose -5*g + s = -2*s + 11, 0 = 3*g + 3*s - 3. Suppose 3*h = -0*h. Let n = 1 - h. Put g, n, -5 in ascending order. -5, g, n Let j be (10 - 12)*(-2)/(-14). Let z = 897 + -901.69. Let r = z - 0.31. Sort j, r, 2/13 in ascending order. r, j, 2/13 Let l = 0.41 + -0.11. Let o be 19/(-44) - 1/(-4). Let r = o + -29/22. Put r, 1/2, l in descending order. 1/2, l, r Let z = 6247/6 - 1045. Let r = -7/2 - z. Let a = 18.6 - 19. Sort r, a, -0.5 in ascending order. -0.5, a, r Let r be (28/4 - 0) + -1. Suppose 2*k + 60 = r*k. Let w be 6/k - 2/5. Sort -5, w, 2/3 in ascending order. -5, w, 2/3 Let u = -1.53 - -1.13. Let w = -2.7 + 0.7. Sort 2/9, u, w in descending order. 2/9, u, w Suppose 4*k - 31 = -4*z - 7, 2*k - 7 = -z. Suppose j + 2*y = 0, j + 11 + 3 = z*y. Let i be (j/(-5))/((-6)/(-15)). Sort -1, 0.1, i. -1, 0.1, i Let n(t) = -2*t + 2. Let j be n(1). Let p be (j/(-1))/(5 - 3). Suppose p = -5*y + y. Put 6, -1, y in decreasing order. 6, y, -1 Suppose -28 - 22 = 5*n. Put 3, n, -3 in decreasing order. 3, -3, n Suppose -f + 2 = -3*f. Let s be (8/32)/((-2)/16). Sort s, 6, f in descending order. 6, f, s Suppose -3*i - 2*i + 3*n = 12, 0 = 3*i + 4*n - 16. Sort -9, i, -3, 3 in increasing order. -9, -3, i, 3 Let i(q) = -q**3 + 15*q**2 - 31*q + 9. Let z be i(12). Sort z, 2, -2 in decreasing order. z, 2, -2 Let j be 0 + 0 + 1/(-1). Let h(i) = -i**3 + 25*i**2 - 5*i + 129. Let q be h(25). Suppose 5*d = -4*t - 2, 2*t + 2*t + 6 = -3*d. Put q, j, d in decreasing order. q, d, j Let t = 6.83 - 6.53. Let p be (-4)/2 + (-2)/(-1). Suppose p = 3*d - 3 - 3. Put -2, d, t in descending order. d, t, -2 Let x = -66 + 69. Suppose -x*a = -2*b - 7, 2*a + 2 = 5*b + a. Sort -1, 2, b in descending order. 2, b, -1 Let g = -2 - -19. Let z = -14 + g. Let i = -4 + z. Sort 3, 2, i in decreasing order. 3, 2, i Let n = -3.4 + -0.6. Let v = 889 - 2666/3. Put n, 0, v in increasing order. n, 0, v Let u be ((-4)/16)/((-2)/40). Let c = 0 + 4. Suppose 2*o - c = 4*o. Put 6, u, o in increasing order. o, u, 6 Let k be (1/10*18)/((-36)/120). Put k, -5, -3 in increasing order. k, -5, -3 Suppose -6*n + 6 = -12. Suppose -2*b = -5*t - 4, 4*b - 56 = -t - t. Let i = b + -23. Sort -2, i, n. i, -2, n Suppose 3*j - 27 = 2*y, -3*y + 35 = 4*j - 18. Suppose -5*h - j = -3*d, -3*d + 4*d + 4*h
{ "pile_set_name": "DM Mathematics" }
Calculate the highest common divisor of 13 and q. 13 Let o = -3 + 4. Suppose 2 = n + o. Calculate the highest common factor of 5 and n. 1 Suppose 4*t - 15 = 3*i, -3 = t - 6*i + 3*i. Let b be (t/15)/(5/75). Calculate the greatest common divisor of 6 and b. 6 Let k be 2*1*(-180)/(-8). Let x = -24 + k. Calculate the greatest common divisor of x and 7. 7 Suppose 2*v = 95 - 15. Calculate the greatest common factor of 16 and v. 8 Suppose 4*v - 96 = -0*v. Let u be 50 + 3/(-6)*(6 + -2). Calculate the highest common divisor of v and u. 24 Let g be (-144)/(-90) - (-4)/10. What is the highest common factor of 26 and g? 2 Suppose 3*t + 0*t + 18 = 0. Let w be 87 - (0 + (t - -3)). What is the highest common factor of 10 and w? 10 Let r = -28 - -70. Calculate the greatest common divisor of 168 and r. 42 Suppose b = 4*b. Suppose t - 1 = -3*m, b + 3 = -m. Suppose 267 = 3*s - 0*a - a, 4*s = 3*a + 351. What is the greatest common divisor of t and s? 10 Suppose -47 = -g - 3*w + 91, 0 = -5*g - 3*w + 690. Suppose -g = -5*n - 33. Calculate the highest common divisor of 7 and n. 7 Let a be (21/6)/((-4)/(-8)). Suppose -x + 3*c = 7, 4*x - 5*c - 2 = -3*c. Let b be (-154)/(0 + x)*-1. What is the greatest common factor of b and a? 7 Suppose -2*x + 3*q - 41 = 0, 5*x - q + 115 = 4*q. Let u be (x/(-5))/((-12)/(-30)). Calculate the highest common factor of 14 and u. 14 Let s = 10 - 6. Let l = 19 - s. What is the greatest common factor of 3 and l? 3 Let r(n) be the first derivative of n**4/4 - n**2/2 - 2. Let i be r(5). Suppose -3*f + f = -i. What is the greatest common divisor of f and 24? 12 Let t be 37/(-6) - 2/(-12). Let l be 36/(-8)*4/t. What is the greatest common divisor of l and 1? 1 Suppose -5*n + 0*w = 4*w - 9, -16 = 4*w. What is the highest common factor of 40 and n? 5 Let b = 70 + 15. Let z = -52 + b. What is the greatest common factor of z and 22? 11 Let z = 67 - 27. What is the highest common factor of 10 and z? 10 Let h be (-2)/7 - 148/(-28). Suppose 0 = -2*q, -h*q = -2*w - 2*q + 592. Let s = w - 188. Calculate the highest common factor of s and 12. 12 Let w be (-12)/(-8)*16/6. Suppose w*x + 57 = 7*x. What is the highest common divisor of 57 and x? 19 Let x be 26/5*(-3 - -23). Suppose -3*z - 19 + 1 = -3*m, 3*z - 3 = 0. Suppose -m*c + 2*c = -65. What is the greatest common factor of x and c? 13 Suppose 0 = -m + 1 + 1. Let w be -3*(10/(-6) - m). Suppose -3*u = -107 - 124. Calculate the highest common factor of w and u. 11 Let g(i) = i**3 - i**2 + i - 194. Let w be g(0). Let s = w + 293. Let v be (-2)/(-7) + 675/63. Calculate the greatest common divisor of v and s. 11 Suppose c + 3*c + 136 = 0. Let q = c + 82. Calculate the highest common factor of q and 6. 6 Let y(d) = d**3 + 14*d**2 + 12*d + 4. Let m be y(-13). Calculate the highest common divisor of m and 102. 17 Let k(p) = -p**3 + 5*p**2. Let r be k(4). Calculate the highest common divisor of 112 and r. 16 Suppose 0*b = 4*c - 5*b - 52, 5*c + 5*b - 65 = 0. What is the greatest common divisor of 52 and c? 13 Let l(j) = 12*j - 2. Let w be l(6). Let u = 28 - 14. Calculate the greatest common factor of u and w. 14 Let w(g) = g**2 - 7. Let z be (-136)/14 - 4/14. Let m be (2 - 1)/(2/z). Let j be w(m). Calculate the greatest common factor of j and 9. 9 Suppose 7*s - 5*s - 991 = -3*z, 658 = 2*z + 2*s. What is the highest common factor of 37 and z? 37 Let l be -1*(-15 + 2 - -2). Suppose -7 = o + 4*g, -5*g - 36 = -l. Calculate the greatest common divisor of o and 52. 13 Suppose 8*g = 3*b + 4*g - 164, -52 = -b + 2*g. What is the greatest common divisor of 90 and b? 30 Suppose -4 + 28 = 3*f. Let o(v) = -v + 1 + f + v**3 - 5*v**2 - 2*v**2. Let c be o(7). Calculate the highest common divisor of c and 8. 2 Suppose 72 = 2*t + 7*t. What is the highest common factor of 88 and t? 8 Suppose 15*m - 11*m - 840 = 0. What is the greatest common divisor of m and 21? 21 Suppose -h + 0 = -22. Let i = -40 - -95. Calculate the greatest common factor of i and h. 11 Suppose u + 4*u = -5. Let h be ((-1)/u)/(5/15). What is the greatest common factor of 3 and h? 3 Suppose -4*a = -a + 12, -5*o - 5*a = -340. Let w = 25 + -6. Suppose -4*z + w = -17. What is the greatest common factor of z and o? 9 Let z = -3 + 12. Suppose -6 + 25 = -5*c - 2*f, 0 = 5*c - 5*f + 5. Let p be 9/(c/(-15) - 0). What is the greatest common factor of z and p? 9 Let n be ((-196)/(-12))/((-1)/(-3)). Suppose 0 = 4*k + 4*l - 32 + 4, 3*k - 4*l = n. What is the highest common factor of 11 and k? 11 Let v = -7 + 10. Let r be 4/(-14) + 116/14. Suppose r = -t + 5*t. Calculate the greatest common divisor of t and v. 1 Let m = -5 - -2. Let n be -10*((-42)/10 - m). What is the greatest common factor of n and 8? 4 Suppose -i = f - 154, -2*i - 3*f = -8*f - 322. Let q = i + -93. What is the highest common factor of 7 and q? 7 Let k = -3 - -41. Suppose 2*x - 40 = k. Suppose 0 = 2*w + w - 39. Calculate the greatest common factor of x and w. 13 Let h(t) = 48*t - 1. Let u be h(-1). Let w = u - -69. What is the highest common factor of 30 and w? 10 Let b = 19 - 19. Suppose 0 = -4*u - b*p + 4*p + 16, 0 = -4*p + 12. What is the greatest common factor of 7 and u? 7 Let f be ((-1)/(-1))/(2/(-8)). Let x(m) = 4*m**2 - m + 2. Let q be x(f). Suppose 5*d - 14 = 3*d. Calculate the greatest common divisor of q and d. 7 Let g be 3*((-8)/(-3) - 0). Let n be 0/(-3)*(-3)/6. Suppose n*i = -3*i + 15, 0 = -3*z - i + 8. What is the greatest common factor of g and z? 1 Let l(a) = -a - 7. Let z be l(-12). Suppose -5*h - 5*v = -h - 47, z*v = 15. What is the highest common divisor of h and 1? 1 Suppose x + 0*x + 32 = 0. Let f be (-1)/((-1)/(1 - x)). Suppose 3*s + 9 = f. Calculate the greatest common factor of 32 and s. 8 Suppose -5*o = -3*f - 47 - 53, -f = -2*o + 39. What is the highest common divisor of 391 and o? 17 Suppose -3*v - 140 + 44 = 0. Let u = 59 + v. Calculate the highest common factor of 18 and u. 9 Let n(w) = 23*w**2 - 3*w - 5. Let p be n(-1). Suppose -2*l + 6*l = 756. Calculate the greatest common divisor of l and p. 21 Suppose g = -0*g + 33. Let n = -21 + g. What is the greatest common divisor of n and 4? 4 Let l be (-136)/(-10) - (-9)/(-15). Let p(i) = i**2 + 2*i + 5. Let c be p(-4). What is the highest common factor of c and l? 13 Let d(a) = 11*a**2 + 2. Let o be d(-3). Let f be (-22)/(-1*2/8). Suppose -4*r = -4*i - f, 5*r = -2*i + 2 + o. Calculate the highest common factor of r and 14. 7 Suppose 3*i = 75 + 6. Let o(q) = 4*q**2 + q + 4. Let n be o(-2). What is the highest common divisor of i and n? 9 Suppose 4*l = -j - 36, 5*j + 53 - 9 = -3*l. Let t = 4 - l. Suppose -2*f + 0*i = 4*i - 22, 4*i - t = 0. What is the greatest common factor of f and 35? 5 Let q be 5 - 4 - -1*3. Suppose 3*d + 3*a - 237 = 0, q*a - 162 = -3*d + d. What is the greatest common divisor of d and 7? 7 Let n be (-4 - -2)*(-33)/6. Calculate the greatest common divisor of n and 55. 11 Let p = 148 - 41. Suppose -4*c = -p + 43. Suppose b = -3*b + 16. What is the highest common factor of c and b? 4 Let o(g) = -29*g + 1. Suppose 24 = i - 5*i. Let y be o(i). Suppose y = 2*h - 0*h + 5*s, 4*h - 311 = 3*s. What is the greatest common factor of h and 10? 10 Suppose 0*v + 12 = 3*v. Let a be (384/60)/(4/10). What is the highest common divisor of v and a? 4 Let l = -69 + 80. What is the greatest common divisor of l and 187? 11 Suppose -52 - 20 = -3*g. Suppose -5*z = -u - 19, -3*u = -5*z - 3 + 30. What is the greatest common factor of g and z? 3 Let d = -84 + 91. Calculate the greatest common divisor of 7 and d. 7 Let f = -2 - -83. Calculate the highest common divisor of 27 and f. 27 Let v(h) = -113*h - 1. Suppose 3*r + z = 3 - 1, 5*z - 24 = -r. Let l be v(r). Calculate the highest common divisor of l and 16. 16 Let m = -5 + 32. Let i(d) = -m*d - 1 + 3 - 8*d. Let b be i(-2). What is the greatest common factor of b and 8? 8 Let d be (1 + (-34)/(-4))*416/52. Suppose x - t = 18, -4*t = 4*x + x - 99. Calculate the greatest common divisor of x and d. 19 Suppose 3*k + 12*k = 90. What is the greatest common divisor of k and 12? 6 Suppose 22 + 350 = 4*p. Let f = -37 + p. What is the greatest common factor of 14 and f? 14 Suppose 4*h - 276 = -2*n, 5*n + 4*h - 283 = 389. Calculate the greatest common factor of n and 12. 12 Suppose -2*i + 6*i - 176
{ "pile_set_name": "DM Mathematics" }
(((j**3*j)**(-47))**(-41))**42 assuming j is positive. j**323736 Simplify (i**(-2))**(3/10)*i**(-1/14)/i**6 assuming i is positive. i**(-467/70) Simplify a*(a/(a*a/(((a*a**7/a*a*a)/a)/a*a)*a*a*a))/a*a**(9/4)*(a/(a**(-2/21)/a))/(a/(a**(-2/27)*a)) assuming a is positive. a**(6253/756) Simplify (p**(3/2)*p**(-17))/((p**(-1)*p)/p*p)**2 assuming p is positive. p**(-31/2) Simplify (l**(-5/3)*l*((l*l*(l**(2/89)/l)/l)/l)/l)/((l/(l*l**(-3/17)*l))/(l*l**(21/2))) assuming l is positive. l**(87869/9078) Simplify ((f**6*f**(-18))**(-42/5))**(18/7) assuming f is positive. f**(1296/5) Simplify (c*c*c/c**10*c*c*c*c**(-1)*c*c)/((c**(-5/7)/c)/c*c**(-4/3)) assuming c is positive. c**(22/21) Simplify (n**(-4/3)/((n**(-1/5)*n)/n))/(n**(1/4))**46 assuming n is positive. n**(-379/30) Simplify p/(p*p/p**10)*p/((p/((p*p*(p/p**(-10)*p*p)/p)/p*p*p))/p)*(p**(4/5))**(-10/7) assuming p is positive. p**(167/7) Simplify ((g/g**(6/5)*g*g)/g)**(-28)*g**(-2/3)*g*g*g**(-7/2) assuming g is positive. g**(-737/30) Simplify (u*u*(((u*u/((u*u**(-1/15)*u)/u))/u)/u)/u*u**(3/5)*(u**2*u)/u*u*u**(-1)/u)**(-3/22) assuming u is positive. u**(-5/22) Simplify ((b*b/(b**(-4/3)*b)*b*b)/b**2)/(b**(-6))**(-1/12) assuming b is positive. b**(11/6) Simplify (z**(1/4)/(z*(z/(z*z*z**(-2/33)*z))/z))**(-2/97) assuming z is positive. z**(-289/6402) Simplify (g**(-11))**(-5)*g**(-2/3)*g**(-1/3) assuming g is positive. g**54 Simplify l**(4/7)*(l/l**(-4/17)*l*l)/l*(l**(-3))**29 assuming l is positive. l**(-10019/119) Simplify n**(-1/30)/n*n*n/(n/n**25)*(n**(-4/7))**(-21) assuming n is positive. n**(1109/30) Simplify (q**(-2/9)*q*q**(-12)*q)/(q*q**(9/5)*q**(-7)) assuming q is positive. q**(-271/45) Simplify (b**(-1)/(b*b**(-4)/b)*b/(b**(-1/2)/b)*b**(-1/4))**29 assuming b is positive. b**(609/4) Simplify ((k**(2/5))**(-2/51)/((k/((k**(-11)/k)/k))/(k*k*(k**(-5)/k)/k)))**10 assuming k is positive. k**(-9698/51) Simplify (r**(1/15)/r**(-10/9))/(r*r**8*(r/((r*r**(-4))/r))/r*r) assuming r is positive. r**(-577/45) Simplify ((x*x/x**(-5)*x)/x**(-5/2))/(x**(7/6)*x*x*x**(-8)) assuming x is positive. x**(46/3) Simplify ((m**(1/8)/((m*(m**(-1/4)*m)/m)/m))/(m**(1/4))**(-5/11))**(18/11) assuming m is positive. m**(387/484) Simplify p/(p**(-15/4)/p)*p**11*(p**13/p)/((p*p**(-14/3)*p)/p) assuming p is positive. p**(389/12) Simplify (((w/(w**(-9)*w))**(4/17))**(3/8))**(-26/3) assuming w is positive. w**(-117/17) Simplify ((p**12*p)/(p/p**(-2/23)))/(p/(p/p**(2/5)))**(-1) assuming p is positive. p**(1416/115) Simplify ((t/(t/(t/t**(2/7))))/(t**5/t)*t**(1/12)*((t/(t*t**(-1)))/t)/t)**(1/5) assuming t is positive. t**(-353/420) Simplify (j**(2/7))**(-11)*((j/j**17)/j)**20 assuming j is positive. j**(-2402/7) Simplify ((((t/(t/(t/(t*t*t**(-9)))))/t)/t)/t**(1/8)*(t**(-1/3)*t)/t**0)**(4/5) assuming t is positive. t**(157/30) Simplify n*n/(n*n*n/(n*n**(-12)))*n*n/n**(2/11)*(n**1)**50 assuming n is positive. n**(438/11) Simplify (p**(1/38)/(p**14/p))/(p**(-19)*p/(p*p**(-3/4)*p)) assuming p is positive. p**(477/76) Simplify (f**21*f**(-10))/((f*f**(3/16)/f*f)/f**(13/3)) assuming f is positive. f**(679/48) Simplify ((b**(-1/14)/b)/((b**(-13)*b)/b*b*b))/(b*b*b/(b*b*b/b**2)*b/(b/(b**15*b))*b) assuming b is positive. b**(-127/14) Simplify ((p/(p/p**(-2/5)*p)*p)/p)**(-2)/(p/(p*p**1))**(-9/4) assuming p is positive. p**(11/20) Simplify (((i/(i*i**(-4)))/(i**(-4/9)/i))**(-3/23))**31 assuming i is positive. i**(-1519/69) Simplify (h**(-1/4))**(2/41)*h**(-12)/(h*h**0) assuming h is positive. h**(-1067/82) Simplify (p/(p/(p*p*p/(p*p/p**3*p)*p)))**(-8/5)/(p*(p/(p/p**(-2/45)))/p*(p**(-3)*p)/p) assuming p is positive. p**(-151/45) Simplify ((r**0)**14*r/(r/r**6)*r/r**(6/11))**(-40) assuming r is positive. r**(-2840/11) Simplify (n/(n*n/(n/(n*n**(2/11)*n*n*n)*n*n)))**50*n**(-1/9)*n*n**(-2/15)/n assuming n is positive. n**(-54121/495) Simplify u*(u/((u/(u/(u*u**(-7))*u))/u))/u*u**(-5)*(u**2/u)/(u/((u*u/(u/(u*u**8)))/u)) assuming u is positive. u**13 Simplify (c/(c/(c*c**22)))/c**(12/11)*c**(-27)/(c/(c*c**(-7))*c) assuming c is positive. c**(-144/11) Simplify (v**(-2/11)/v**(-1)*v**4*v**(-3))**(-1/15) assuming v is positive. v**(-4/33) Simplify (s**(-4/3))**22/(s**(-2)*s*s**(1/4)*s) assuming s is positive. s**(-355/12) Simplify (q**(-7)*q*q**(9/5)*q)/(((q*q/q**(7/4))/q)/((q*q**(14/3)*q)/q)) assuming q is positive. q**(193/60) Simplify r*r**6*r*r**(-2/11)*(r**(-6/5)*r)**44 assuming r is positive. r**(-54/55) Simplify ((n**2/n)**(-4)/((n**(-7)/n)/(n/(n/(n*n*n*n**(-10)*n*n)*n))))**36 assuming n is positive. n**(-72) Simplify ((v*v/(v/((v*v**(-31/3)*v*v)/v)*v))/v*v**18)/(v**21*v)**(-2/5) assuming v is positive. v**(262/15) Simplify (((b*b*b**(-2/3))/b)**(8/13)/(b**(2/7)*b**(-3/2)))**(2/69) assuming b is positive. b**(775/18837) Simplify ((n**4/n)/(n/(n*n/n**0*n))*((n/(n*n*n**(2/11)))/n)/((n/(n/(n/(n*n**(-4/7)))))/n))**(-1/42) assuming n is positive. n**(-125/1617) Simplify ((u/(((u**(-11/3)/u)/u*u)/u*u)*u**(2/39))**47)**(2/13) assuming u is positive. u**(20962/507) Simplify (u**(-22)/u)/u*u**20*u**0*u/u**10 assuming u is positive. u**(-13) Simplify j*j**(-13)*j/((j**0*j)/j)*(j**3)**(-2/143) assuming j is positive. j**(-1579/143) Simplify (((h/((h*h**(-11))/h))/h)/(h/h**(-16/7)*h))**(-1/5) assuming h is positive. h**(-47/35) Simplify g*g**(-4)*(g*g**(1/7)*g*g)/g*(g*g**(-4/3)/g)/((g**(1/3)/g)/g) assuming g is positive. g**(-11/21) Simplify (z/((z/z**(-24))/z))/(z*z*z**0/z*z)*((z/z**(-2/65)*z)/z)/(z*z**(-19)) assuming z is positive. z**(-388/65) Simplify ((p**(-2)*p**(2/9)*p)/(((((p/(p/(p**(-3)*p)))/p)/p)/p)/(p/p**(-1/8))))**18 assuming p is positive. p**(385/4) Simplify i**(-9)/i**(2/5)*(i/i**(-5)*i)**(-42) assuming i is positive. i**(-1517/5) Simplify a*(a/((a**(-2/13)*a)/a))/a*a*a**5/a*a*a*a**(-12)/a*a/(a/(a/((a*a**(1/24))/a))) assuming a is positive. a**(-1213/312) Simplify (g**(-14)/(g**(-1/8)*g))/(g**2)**(-30) assuming g is positive. g**(361/8) Simplify (d**(1/13))**32/((d**(1/5)*d)/(d**1*d)) assuming d is positive. d**(212/65) Simplify (d**(-22)*d*d/(d/(d/(d*d**31*d*d))*d*d*d))/(d**(-5))**(2/3) assuming d is positive. d**(-161/3) Simplify (g**(-1/6)/(g/(g/(g/(g/g**(-7))))))/((g*g**8*g*g)/g*(g**(3/20)/g)/g) assuming g is positive. g**(-79/60) Simplify ((f/(f/(f/((f*f**(-1/3))/f)*f))*f)/(f/((f**(-2/11)/f)/f)))/(f/(f**(-7)/f)*f*f/f**(-3/4)) assuming f is positive. f**(-1531/132) Simplify (r**(-30)*r/(r*r**(3/7)))**(-2/43) assuming r is positive. r**(426/301) Simplify ((g*g**10/g)/g)/g**3*((g*g*g**(-2/7)*g*g)/g)/g**3 assuming g is positive. g**(40/7) Simplify (k*k/(((k/((k**2/k)/k))/k)/k)*k**7*k*(k**5/k)/k**(2/7))**(5/13) assuming k is positive. k**(515/91) Simplify (j*j*j**(-13)*j*j/(((j*j**(11/4))/j)/j)*j)/(((j/(j*j**(-1/11)))/j)/j)**0 assuming j is positive. j**(-39/4) Simplify ((q/(q*q**(11/5)))/q)/(q**(-2/39)/q)*q**(-5/13)/(q/(q*q**3)) assuming q is positive. q**(7/15) Simplify ((a**14)**(4/23))**(4/15) assuming a is positive. a**(224/345) Simplify (w*w*w*(w*w**(-9))/w)**(-2/3)/(w**(1/5))**(2/15) assuming w is positive. w**(298/75) Simplify ((c/c**(1/7)*c)/(c/c**10))/(c/(c/(c**(-2)/c))*c**(-2/11)) assuming c is positive. c**(1081/77) Simplify ((q*q**(-2/5)*q/(q/(q/q**(1/11)))*q)**(28/9))**(-13/5) assuming q is positive. q**(-16744/825) Simplify r**(-17/3)*r*(r/(r**(6/17)/r))/r*r*(r**(23/4)/r)**(-1/17) assuming r is positive. r**(-673/204) Simplify ((v**(2/5)/v)/((v*v**(-3)/v)/v))/(v**(-1/4)/(v*v**5)) assuming v is positive. v**(193/20) Simplify ((c**(-6)/c*c)/((c**(-1/13)*c)/c))/(c**(-1))**(2/69) assuming c is positive. c**(-5287/897) Simplify ((f/(f**(-1/5)/f))/f)/(f**(-6/5)*f)*(f**(-6/11)*f)/f*f**(-1/2)/f assuming f is positive. f**(-71/110) Simplify (x**(2/3)*x**0)/(x**8*x*x**5*x) assuming x is positive. x**(-43/3) Simplify (k*k**(-3/5))/k*(k*k/(k*k**3))/k*(k**(-1/7))**(-45) assuming k is positive. k**(99/35) Simplify (j*j*j/((j*j**(-2/3))/j))**(1/10)*(j/(j**(-2/3)/j))**(-13) assuming j is positive. j**(-343/10) Simplify (y**(6/11)*(y/(y*y**(-24)*y))/y*y*y)/(((y*y**(1/18)*y)/y*y)/(y**(4/5)/y)) assuming y is positive. y**(22067/990) Simplify ((g**(-3/7)*g*(g/(g**(-4)/g))/g)**(-23/2))**11 assuming g is positive. g**(-9867/14) Simplify ((z**(6/11)*z*z/z**(-1))/(z**(1/3)/z)**44)**(-41) assuming z is positive. z**(-44485/33) Simplify (y**(-11))**
{ "pile_set_name": "DM Mathematics" }
of 22*w**4/3 - 2*w**2 - w - 152. Determine r(d(n)). 402688*n**2 Let w(d) be the second derivative of d**3/3 + 2*d. Let p be (-20)/(-30) + (-8)/(-6). Let r(z) = 319*z**2 + 313*z**2 - 623*z**p. Give w(r(o)). 18*o**2 Let g(r) = 27*r - 367. Let x(t) = -5*t + 261. Calculate g(x(s)). -135*s + 6680 Let u(j) = -82*j**2 + 170*j**2 - 87*j**2. Let p(y) = 793*y**2 + 2*y. Determine p(u(g)). 793*g**4 + 2*g**2 Let y(v) = -v**2 - 21. Let h(s) = -201*s - 36. Let w(u) = 2816*u + 495. Let j(d) = 55*h(d) + 4*w(d). What is y(j(i))? -43681*i**2 - 21 Let x(n) = 749*n. Let r(w) = 249576*w**2. Calculate x(r(i)). 186932424*i**2 Let z(k) = -2*k. Let r(u) = -9575588*u + 3. What is r(z(c))? 19151176*c + 3 Let t(z) = 21*z**2. Let u(j) be the first derivative of 0*j**3 + 1/6*j**4 + 0*j - 35 - 2*j**2. Let v(b) be the second derivative of u(b). Give t(v(r)). 336*r**2 Let z(p) = 5*p**2. Let r(y) = y + 6*y**2 - 21*y**2 + 0*y + 17*y**2 + 1. Let a(v) = -2*v - 2. Let o(m) = a(m) + 2*r(m). Determine z(o(t)). 80*t**4 Let i(m) = 3*m. Let u(k) be the second derivative of -k**3/6 - 134*k - 1. Let a = -4 - 3. Let j(r) = a*u(r) - 2*i(r). Let x(g) = 5*g**2. Calculate j(x(p)). 5*p**2 Let w = 4 + 14. Suppose -6*k + w = 6. Let f(a) = 17 - 4*a**k + 17 - 34. Let o(m) = -2*m**2. Give f(o(q)). -16*q**4 Let l(x) = -3*x**2. Let q be (16/(-6))/(6/(-9)). Suppose -4*s = -5*w - 429, q*w + 22 - 103 = -s. Let o(h) = 2*h - 101 + s. Give l(o(j)). -12*j**2 Let c(q) be the third derivative of -2*q**2 + 0*q**3 - 6 + 0*q - 1/12*q**4. Let x(j) = -j + 5. What is x(c(r))? 2*r + 5 Let q(x) = -3*x**2. Let g(i) = 1594071*i**2. Calculate q(g(k)). -7623187059123*k**4 Let b(y) = -2*y**2 + 23*y. Suppose -11*s = -181 - 193. Let m(n) = 34*n - 69*n + s*n. Determine b(m(t)). -2*t**2 - 23*t Let w(s) = -90*s**2 + 3*s - 2125. Let d(t) = -t - 67. What is d(w(i))? 90*i**2 - 3*i + 2058 Let j(d) = -d + 4. Let t(w) = 1521 - 512 - 508 - w - 501. Calculate t(j(p)). p - 4 Let x(r) = -1950018*r. Let o(s) = s - 6. Give x(o(v)). -1950018*v + 11700108 Let f(s) be the third derivative of -s**5/60 + s**2. Let p(k) = 25*k**2 - 5*k + 18. Let c(g) = 2*g**2 - 2*g + 6. Let b(l) = -3*c(l) + p(l). Determine f(b(x)). -361*x**4 - 38*x**3 - x**2 Let b(a) = 17*a**2. Let m(w) be the first derivative of 1054*w**3/3 + 80. Let k(q) = 374*b(q) - 6*m(q). Let n(x) = 2*x**2. Calculate k(n(g)). 136*g**4 Let b(j) = 0*j**2 + 0*j**2 + j**2. Let h(p) = p**2 - 9*p + 10. Let q be h(9). Let g(f) = -f. Let y(n) = 8*n - 4. Let u(w) = q*g(w) + y(w). Calculate u(b(v)). -2*v**2 - 4 Let a(r) = -r**2. Let s(v) = -339*v**2 + 1154*v**2 - 413*v**2 + 66*v**2 + 195*v**2. What is a(s(k))? -439569*k**4 Let d(w) be the third derivative of -7*w**5/60 + 5*w**3/3 + 1031*w**2. Let c(b) be the third derivative of -b**4/24 - 29*b**2. Determine d(c(p)). -7*p**2 + 10 Let n(m) = -2*m. Let a(k) = 220*k**2 + 15*k - 15. Let j = 407 - 392. Let d(z) = 31*z**2 + 2*z - 2. Let g(x) = j*d(x) - 2*a(x). Calculate n(g(s)). -50*s**2 Let h(s) = -217*s**2 + 442*s**2 - 224*s**2. Let u(m) be the third derivative of -9*m**2 + 0*m**3 - 3/8*m**4 + 0*m + 0. Give u(h(j)). -9*j**2 Let d(j) = -2*j**2 + 36*j. Let n(g) = -g + 106121. Calculate n(d(l)). 2*l**2 - 36*l + 106121 Let s(a) be the third derivative of -a**4/8 - 12*a**2 + 4. Let l(v) be the third derivative of v**5/60 - 14*v**2. Calculate s(l(i)). -3*i**2 Let r(b) = 11*b**2 - 7*b - 7. Let v(a) = -11*a**2 + 6*a + 6. Let u(k) = -6*r(k) - 7*v(k). Let d(t) = 151 - 204 + 53 - 3*t**2. Calculate d(u(o)). -363*o**4 Let t(l) = -l + 44034. Let w(f) = 4*f - 20. What is w(t(v))? -4*v + 176116 Let k(u) = -u**2 - u + u. Let n(o) = -63*o - 10*o + 15*o + 8*o + 35*o. Calculate n(k(c)). 15*c**2 Let g(k) = 3*k. Let a(h) = -6536387*h. Calculate a(g(s)). -19609161*s Let i(u) = 1832320703*u. Let d(l) = -2*l. Give i(d(p)). -3664641406*p Let i(l) be the second derivative of -l**5/60 - 24*l**2 - 54*l. Let c(j) be the first derivative of i(j). Let t(d) = -19*d. Determine t(c(w)). 19*w**2 Let y(o) = 195*o**2. Let x(f) = -41*f**2 - 126*f**2 + 173*f**2. Determine y(x(d)). 7020*d**4 Let k(o) = -3*o**2 - 2*o - 2. Suppose 126*x - 137*x = -55. Let i(b) = 8*b**2 + 5*b + 5. Let l(g) = x*k(g) + 2*i(g). Let h(v) = -43*v**2. Determine l(h(d)). 1849*d**4 Let c(f) = -20*f**2 + 1. Let z(j) = -31*j - 31. Calculate z(c(b)). 620*b**2 - 62 Let m(w) be the first derivative of -w**2 - 64. Let x(a) = 1. Let z(q) = 10*q**2 - 10. Let n(t) = 10*x(t) + z(t). Calculate m(n(l)). -20*l**2 Let f(u) = -145489862*u. Let s(k) = -k. Determine f(s(r)). 145489862*r Let q(v) = -20455517*v + 2. Let g(y) = -2*y. What is g(q(n))? 40911034*n - 4 Let q(o) = -2*o**2. Let c(h) = 92*h. Let k(u) = -5246*u. Suppose g = -6 + 9. Let i(f) = g*k(f) + 172*c(f). Determine q(i(j)). -14792*j**2 Let h(v) = -751*v**2. Let k(s) = -5066*s - 2. Give k(h(c)). 3804566*c**2 - 2 Let q(g) = -74 - 69 + 148 - g. Let l(y) = y - 6. Let u(i) = 5*l(i) + 6*q(i). Let p(a) = -63*a**2. What is p(u(v))? -63*v**2 Let y(z) be the second derivative of z**4/6 - 12*z. Let a(o) be the third derivative of 0 + 0*o**3 - 7/24*o**4 - 34*o**2 + 1/30*o**5 + 0*o. Calculate y(a(t)). 8*t**4 - 56*t**3 + 98*t**2 Let s(l) be the third derivative of l**4/24 + l**3/6 + 2131*l**2 - 2*l - 2. Let d(v) = 0*v + 0*v + 3*v. Calculate s(d(t)). 3*t + 1 Let m(q) = 7*q. Let n(w) = -149*w**2 - 18*w - 12. Let d(u) = -48127*u**2 - 5811*u - 3874. Let x(p) = 6*d(p) - 1937*n(p). Calculate x(m(v)). -7301*v**2 Let i(k) = k. Let j(p) be the third derivative of 1055*p**4/8 - 2665*p**2. Calculate i(j(o)). 3165*o Let q = 27 - 23. Suppose -g + 32 = 4*m + 3*g, -4*m + q*g = -40. Let z(o) = -2*o + m*o - 2*o. Let p(w) = 2*w. Determine z(p(j)). 10*j Let v(i) = -3*i**2 + 26*i - 43. Let w be v(5). Let u(x) = w*x**2 - 424 + 424 + 10*x - 9*x. Let d(h) = -2*h. What is d(u(y))? -24*y**2 - 2*y Let j(n) be the third derivative of -n**5/15 - 942*n**2. Let v(t) = 39*t + 1. What is v(j(u))? -156*u**2 + 1 Let w(l) be the first derivative of 41*l**2/2 + 5977. Let m(d) = -d. Let i(h) = -5*h. Let g(r) = 3*i(r) - 12*m(r). Calculate w(g(s)). -123*s Suppose 0 = -2*y + 3 + 9. Let q(n) = y*n + 5 - 7*n - 5. Let c(t) = -25*t**2. What is q(c(f))? 25*f**2 Let q(n) = -1968*n. Let g(z) be the third derivative of -z**4/24 - 2529*z**2. Calculate q(g(l)). 1968*l Let z(m) = 7457*m - 5. Let g(v) = -49*v**2. Determine z(g(r)). -365393*r**2 - 5 Let m(x) = 3403*x**2. Let h(l) be the third derivative of l**5/30 + 2864*l**2 - 2*l. Calculate h(m(r)). 23160818*r**4 Let v(h) be the first derivative of -23*h**2/2 + 886. Let j(u) = -28*u. What is v(j(s))? 644*s Suppose -10*l = 2*l - l. Let x(b) = 21*b - 8*b + l + 0 - 2*b. Let g(w) = -3*w. Give x(g(m)). -33*m Let y(a) = -a + 23. Let u(w) = 42102*w. What is u(y(i))? -42102*i + 968346 Let c(q) = 2*q. Let k(r) = 5*r + 7031261. Determine c(k(l)). 10*l + 14062522 Let a(t) = -t**2. Suppose -18 = -4*s + 5*i + 5, -5 = 5*s + 5*i. Let y(w) = 67*w**s + 10*w**2 - 20*w**2. What is a(y(p))? -3249*p**4 Suppose -70*b + 23*b = 30*b. Let k(m) be the first derivative of b*m**2 - 1/3*m**3 + 0*m + 29. Let a(y) = 43*y. Determine a(k(x)). -43*x**2 Let j(k) = 92*k + 42 - 85 + 44 - 35*k + 82*k. Let v(r) = -5*r. What is j(v(p))? -695*p + 1 Let x(g) = -603537*g. Let m(v) = -4*v. Calculate m(x(a)). 2414148*a Let s(x) = 2*x**2 + 5*x - 33. Let k be s(-12). Let o(y) = -k*y - 201*y + 411*y. Let b(u) = -6*u**2. Give b(o(n)). -1350*n**2 Let q(h) be the third derivative of 0*h + 164*h**2 + 2/3*h**3 - 1/12*h**4 + 0. Let d(v) = 2*v**2. Determine d(q(x)). 8*x**2 - 32*x + 32 Let r(v) = 2146362*v**2. Let y(b) = -22*b. Determine y(r(h)). -47219964*h**2 Let s(f) = 752*f**2 - 123*f**2 - 666*f**2. Let r(b) = 6*b**2 - b**2 - 2*b**2. Determine s(r(a)). -333*a**4 Let i(w) = 89*w**2 + 9. Let z(h) = 158*h**2 + 15. Let m(j) = 5*i(j) - 3*z(j). Let f(p) = 13*p. What is m(f(n))? -4901*n**2 Let f(n) = 371*n + 371*n - 1510*n + 378*n + 368*n. Let j(s) = 743*s. Give j(f(b)). -16346*b Let a(c) = -c - 3. Let l(v) = 4*v + 16. Let d(h) = 16*a(h) + 3*l(h). Let z(q) be the first derivative of 0*q + 0*q**2 + 5 - 1/3*q**3. What is z(d(o))? -16*o**2 Let k(n) = -17*n**2. Let d(y) = 29*y + 18. Let i(j) = 551*j + 348. Let m(f) = 174*d(f) - 9*i(f). Give m(k(x)). -1479*x**2 Let y(p) = p. Let q(u) = 926*u**2 - 173*u + 9. Determine q(y(i)). 926*i**2 - 173*i + 9 L
{ "pile_set_name": "DM Mathematics" }
tors of 2393563. 19, 263, 479 List the prime factors of 66068530. 2, 5, 11, 600623 List the prime factors of 180938770. 2, 5, 151, 119827 List the prime factors of 56257475. 5, 1229, 1831 List the prime factors of 528678698. 2, 264339349 What are the prime factors of 3385533339? 3, 59, 6375769 What are the prime factors of 1308254049? 3, 659, 220579 List the prime factors of 36735921. 3, 1777, 2297 List the prime factors of 2306579215. 5, 461315843 What are the prime factors of 134327964? 2, 3, 11193997 What are the prime factors of 69483896? 2, 17, 31, 16481 What are the prime factors of 112669170? 2, 3, 5, 131, 28669 List the prime factors of 907001784. 2, 3, 13, 19, 51001 What are the prime factors of 522249136? 2, 4871, 6701 List the prime factors of 23615940. 2, 3, 5, 23, 109, 157 List the prime factors of 344095532. 2, 11, 659, 11867 What are the prime factors of 44200552? 2, 11, 149, 3371 What are the prime factors of 667395691? 19, 1163, 30203 What are the prime factors of 116137172? 2, 29034293 What are the prime factors of 46814961? 3, 29, 47, 107 What are the prime factors of 126312055? 5, 25262411 List the prime factors of 16956995. 5, 11, 308309 What are the prime factors of 596250130? 2, 5, 7, 73, 79, 211 List the prime factors of 54482080. 2, 5, 167, 2039 What are the prime factors of 24936583? 7, 3562369 What are the prime factors of 22624337? 22624337 What are the prime factors of 1526986244? 2, 7, 43, 1268261 What are the prime factors of 471059089? 373, 1262893 What are the prime factors of 79850334? 2, 3, 13308389 What are the prime factors of 14375469? 3, 277, 17299 List the prime factors of 48890177. 7, 79, 211, 419 What are the prime factors of 129104241? 3, 7, 6147821 What are the prime factors of 9503095? 5, 7, 271517 What are the prime factors of 2085346092? 2, 3, 173778841 What are the prime factors of 102862208? 2, 803611 What are the prime factors of 74733480? 2, 3, 5, 207593 What are the prime factors of 1341267546? 2, 3, 971, 230221 List the prime factors of 34522492. 2, 41, 181, 1163 List the prime factors of 2424092014. 2, 1212046007 List the prime factors of 1033107704. 2, 199, 648937 List the prime factors of 22104948. 2, 3, 1842079 What are the prime factors of 298084503? 3, 9403, 10567 What are the prime factors of 54920433? 3, 1361, 13451 What are the prime factors of 362123274? 2, 3, 60353879 What are the prime factors of 169508305? 5, 33901661 What are the prime factors of 713850091? 12101, 58991 List the prime factors of 1046845895. 5, 209369179 What are the prime factors of 161743049? 13, 17, 731869 List the prime factors of 372935077. 5009, 74453 What are the prime factors of 630687335? 5, 17, 7419851 List the prime factors of 126502071. 3, 42167357 What are the prime factors of 949770878? 2, 7, 23, 241, 12239 What are the prime factors of 187541769? 3, 163, 383521 What are the prime factors of 224972648? 2, 28121581 What are the prime factors of 63840303? 3, 1289, 5503 List the prime factors of 2553571624. 2, 89, 379, 9463 What are the prime factors of 4762224949? 4762224949 List the prime factors of 520860735. 3, 5, 29, 13763 List the prime factors of 136091656. 2, 17011457 What are the prime factors of 1221538685? 5, 79, 3092503 What are the prime factors of 47124591? 3, 1367, 11491 What are the prime factors of 5972031254? 2, 7, 8297, 51413 What are the prime factors of 1326645439? 7, 17, 11148281 What are the prime factors of 3685744572? 2, 3, 23, 139, 191, 503 List the prime factors of 43497209. 7, 23, 43, 61, 103 List the prime factors of 6323468687. 6323468687 What are the prime factors of 96424643? 7, 1879, 7331 List the prime factors of 104637232. 2, 7, 43, 21727 List the prime factors of 764791142. 2, 31, 151, 541 List the prime factors of 911232229. 19, 29, 87041 What are the prime factors of 268632833? 7, 38376119 List the prime factors of 50748887. 7, 7249841 List the prime factors of 1562291485. 5, 107, 2920171 List the prime factors of 8476691. 8476691 What are the prime factors of 1069117? 7, 163, 937 What are the prime factors of 1009383211? 17, 103, 576461 What are the prime factors of 19114710? 2, 3, 5, 637157 List the prime factors of 6111191371. 6111191371 What are the prime factors of 1515231112? 2, 809, 234121 What are the prime factors of 1961443627? 11, 13, 379, 36191 List the prime factors of 6681616. 2, 19, 31, 709 What are the prime factors of 4970087312? 2, 59, 5264923 List the prime factors of 117852736. 2, 23, 59 List the prime factors of 44402259. 3, 11, 19, 23, 3079 What are the prime factors of 901976878? 2, 11, 23, 1782563 List the prime factors of 353548484. 2, 4519, 19559 List the prime factors of 6350314947. 3, 2116771649 List the prime factors of 3632935040. 2, 5, 7, 810923 What are the prime factors of 91971220? 2, 5, 11, 418051 List the prime factors of 81595219. 229, 356311 List the prime factors of 242926796. 2, 7, 439, 19763 List the prime factors of 97899541. 97899541 List the prime factors of 175263874. 2, 751, 116687 List the prime factors of 2013988233. 3, 7853, 85487 What are the prime factors of 441382741? 11971, 36871 What are the prime factors of 1681299? 3, 89, 2099 What are the prime factors of 39776351? 727, 54713 List the prime factors of 4810597963. 197, 24419279 What are the prime factors of 592564944? 2, 3, 73, 169111 List the prime factors of 634336401. 3, 29, 181, 40283 List the prime factors of 405873521. 17, 23874913 What are the prime factors of 346040978? 2, 47, 3681287 What are the prime factors of 2109863238? 2, 3, 7, 547, 91837 What are the prime factors of 80856640? 2, 5, 29, 8713 What are the prime factors of 415662134? 2, 79, 2630773 What are the prime factors of 30834474? 2, 3, 11, 389, 1201 What are the prime factors of 838605669? 3, 11, 25412293 What are the prime factors of 1154606891? 1154606891 What are the prime factors of 67263411? 3, 41, 467, 1171 What are the prime factors of 583066225? 5, 7, 173, 19259 What are the prime factors of 6333256105? 5, 11, 115150111 What are the prime factors of 27531750? 2, 3, 5, 36709 List the prime factors of 1261718835. 3, 5, 13, 17, 59, 6451 List the prime factors of 179482595. 5, 29, 491, 2521 List the prime factors of 1260205972. 2, 23, 13697891 What are the prime factors of 187297689? 3, 29, 2152847 What are the prime factors of 3587235275? 5, 13, 67, 151, 1091 What are the prime factors of 6024918? 2, 3, 71, 14143 What are the prime factors of 851809? 7, 121687 What are the prime factors of 150320236? 2, 11, 137, 2267 List the prime factors of 3968100901. 6029, 658169 What are the prime factors of 93809759? 93809759 What are the prime factors of 3493397752? 2, 13, 33590363 What are the prime factors of 750565224? 2, 3, 53, 65563 What are the prime factors of 79424659? 79424659 List the prime factors of 785423648. 2, 509, 48221 What are the prime factors of 30317603? 30317603 List the prime factors of 49987145. 5, 13, 769033 What are the prime factors of 14698977? 3, 79, 109, 569 List the prime factors of 49799484. 2, 3, 7, 37, 109 What are the prime factors of 6069948? 2, 3, 593, 853 What are the prime factors of 96744459? 3, 7, 31, 148609 List the prime factors of 1542253000. 2, 5, 463, 3331 List the prime factors of 2949645523. 11, 1181, 227053 What are the prime factors of 1873131443? 71, 26382133 List the prime factors of 631279093. 631279093 What are the prime factors of 1351276779? 3, 29, 15531917 What are the prime factors of 105812495? 5, 151, 269, 521 What are the prime factors of 6514223250? 2, 3, 5, 8685631 List the prime factors of 77716737. 3, 7, 1233599 List the prime factors of 373546000. 2, 5, 186773 List the prime factors of 18320904. 2, 3, 7, 577 What are the prime factors of 113018111? 79, 271, 5279 List the prime factors of 8412032. 2, 65719 What are the prime factors of 177470262? 2, 3, 991, 9949 List the prime factors of 77827343. 11, 17, 191, 2179 What are the prime factors of 976715785? 5, 2347, 83231 What are the prime factors of 18734104? 2, 2341763 What are the prime factors of 90820759? 439, 443, 467 What are the prime factors of 116355020? 2, 5, 5817751 What are the prime factors of 173888027? 23, 109, 139, 499 What are the prime factors of 153431173
{ "pile_set_name": "DM Mathematics" }